TSTP Solution File: SCT102+1 by Bliksem---1.12
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- Process Solution
%------------------------------------------------------------------------------
% File : Bliksem---1.12
% Problem : SCT102+1 : TPTP v8.1.0. Released v5.2.0.
% Transfm : none
% Format : tptp:raw
% Command : bliksem %s
% Computer : n023.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 : Mon Jul 18 21:01:15 EDT 2022
% Result : Timeout 300.06s 300.60s
% Output : None
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----No solution output by system
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : SCT102+1 : TPTP v8.1.0. Released v5.2.0.
% 0.07/0.13 % Command : bliksem %s
% 0.12/0.32 % Computer : n023.cluster.edu
% 0.12/0.32 % Model : x86_64 x86_64
% 0.12/0.32 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.32 % Memory : 8042.1875MB
% 0.12/0.32 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.32 % CPULimit : 300
% 0.12/0.32 % DateTime : Sat Jul 2 03:44:13 EDT 2022
% 0.12/0.33 % CPUTime :
% 0.85/1.37 *** allocated 10000 integers for termspace/termends
% 0.85/1.37 *** allocated 10000 integers for clauses
% 0.85/1.37 *** allocated 10000 integers for justifications
% 0.85/1.37 *** allocated 15000 integers for termspace/termends
% 0.85/1.37 Bliksem 1.12
% 0.85/1.37
% 0.85/1.37
% 0.85/1.37 Automatic Strategy Selection
% 0.85/1.37
% 0.85/1.37 *** allocated 22500 integers for termspace/termends
% 0.85/1.37 *** allocated 33750 integers for termspace/termends
% 0.85/1.37 *** allocated 50625 integers for termspace/termends
% 0.85/1.37 *** allocated 75937 integers for termspace/termends
% 0.85/1.37
% 0.85/1.37 Clauses:
% 0.85/1.37
% 0.85/1.37 { ! hAPP( Y, skol1( X, Y ) ) = hAPP( X, skol1( X, Y ) ), Y = X }.
% 0.85/1.37 { c_List_Odistinct( tc_Arrow__Order__Mirabelle_Oalt, hAPP( hAPP(
% 0.85/1.37 c_List_Olist_OCons( tc_Arrow__Order__Mirabelle_Oalt ), skol2 ), hAPP(
% 0.85/1.37 hAPP( c_List_Olist_OCons( tc_Arrow__Order__Mirabelle_Oalt ), skol23 ),
% 0.85/1.37 hAPP( hAPP( c_List_Olist_OCons( tc_Arrow__Order__Mirabelle_Oalt ), skol29
% 0.85/1.37 ), c_List_Olist_ONil( tc_Arrow__Order__Mirabelle_Oalt ) ) ) ) ) }.
% 0.85/1.37 { c_List_Odistinct( X, c_List_Olist_ONil( X ) ) }.
% 0.85/1.37 { ! c_List_Olist_ONil( Z ) = hAPP( hAPP( c_List_Olist_OCons( Z ), Y ), X )
% 0.85/1.37 }.
% 0.85/1.37 { ! hAPP( hAPP( c_List_Olist_OCons( Z ), Y ), X ) = c_List_Olist_ONil( Z )
% 0.85/1.37 }.
% 0.85/1.37 { ! Z = hAPP( hAPP( c_List_Olist_OCons( Y ), X ), Z ) }.
% 0.85/1.37 { ! hAPP( hAPP( c_List_Olist_OCons( Z ), Y ), X ) = X }.
% 0.85/1.37 { ! hAPP( hAPP( c_List_Olist_OCons( U ), T ), Z ) = hAPP( hAPP(
% 0.85/1.37 c_List_Olist_OCons( U ), Y ), X ), T = Y }.
% 0.85/1.37 { ! hAPP( hAPP( c_List_Olist_OCons( U ), T ), Z ) = hAPP( hAPP(
% 0.85/1.37 c_List_Olist_OCons( U ), Y ), X ), Z = X }.
% 0.85/1.37 { ! T = Y, ! Z = X, hAPP( hAPP( c_List_Olist_OCons( U ), T ), Z ) = hAPP(
% 0.85/1.37 hAPP( c_List_Olist_OCons( U ), Y ), X ) }.
% 0.85/1.37 { c_List_Osplice( Z, hAPP( hAPP( c_List_Olist_OCons( Z ), Y ), X ),
% 0.85/1.37 c_List_Olist_ONil( Z ) ) = hAPP( hAPP( c_List_Olist_OCons( Z ), Y ), X )
% 0.85/1.37 }.
% 0.85/1.37 { c_List_Oinsert( Y, X, c_List_Olist_ONil( Y ) ) = hAPP( hAPP(
% 0.85/1.37 c_List_Olist_OCons( Y ), X ), c_List_Olist_ONil( Y ) ) }.
% 0.85/1.37 { Y = c_List_Olist_ONil( X ), ! c_List_Odistinct( X, Y ), c_List_Odistinct
% 0.85/1.37 ( X, c_List_Obutlast( X, Y ) ) }.
% 0.85/1.37 { ! class_Orderings_Olinorder( X ), c_List_Olinorder__class_Osorted( X,
% 0.85/1.37 hAPP( hAPP( c_List_Olist_OCons( X ), Y ), c_List_Olist_ONil( X ) ) ) }.
% 0.85/1.37 { ! Z = c_List_Olist_ONil( Y ), c_List_Olast( Y, hAPP( hAPP(
% 0.85/1.37 c_List_Olist_OCons( Y ), X ), Z ) ) = X }.
% 0.85/1.37 { Z = c_List_Olist_ONil( Y ), c_List_Olast( Y, hAPP( hAPP(
% 0.85/1.37 c_List_Olist_OCons( Y ), X ), Z ) ) = c_List_Olast( Y, Z ) }.
% 0.85/1.37 { ! class_Orderings_Olinorder( X ), c_List_Olinorder__class_Osorted( X,
% 0.85/1.37 c_List_Olist_ONil( X ) ) }.
% 0.85/1.37 { ! class_Orderings_Olinorder( X ), Y = c_List_Olist_ONil( X ), !
% 0.85/1.37 c_List_Olinorder__class_Osorted( X, Y ), c_List_Olinorder__class_Osorted
% 0.85/1.37 ( X, c_List_Obutlast( X, Y ) ) }.
% 0.85/1.37 { ! class_Orderings_Olinorder( X ), c_List_Olinorder__class_Osorted( X,
% 0.85/1.37 c_List_Olist_ONil( X ) ) }.
% 0.85/1.37 { c_List_Obutlast( X, c_List_Olist_ONil( X ) ) = c_List_Olist_ONil( X ) }.
% 0.85/1.37 { ! c_List_Odistinct( Y, X ), c_List_Odistinct( Y, c_List_Oinsert( Y, Z, X
% 0.85/1.37 ) ) }.
% 0.85/1.37 { c_List_Osplice( U, hAPP( hAPP( c_List_Olist_OCons( U ), T ), Z ), hAPP(
% 0.85/1.37 hAPP( c_List_Olist_OCons( U ), Y ), X ) ) = hAPP( hAPP(
% 0.85/1.37 c_List_Olist_OCons( U ), T ), hAPP( hAPP( c_List_Olist_OCons( U ), Y ),
% 0.85/1.37 c_List_Osplice( U, Z, X ) ) ) }.
% 0.85/1.37 { c_List_Osplice( Y, X, c_List_Olist_ONil( Y ) ) = X }.
% 0.85/1.37 { c_List_Osplice( Y, c_List_Olist_ONil( Y ), X ) = X }.
% 0.85/1.37 { ! Z = c_List_Olist_ONil( Y ), c_List_Obutlast( Y, hAPP( hAPP(
% 0.85/1.37 c_List_Olist_OCons( Y ), X ), Z ) ) = c_List_Olist_ONil( Y ) }.
% 0.85/1.37 { Z = c_List_Olist_ONil( Y ), c_List_Obutlast( Y, hAPP( hAPP(
% 0.85/1.37 c_List_Olist_OCons( Y ), X ), Z ) ) = hAPP( hAPP( c_List_Olist_OCons( Y )
% 0.85/1.37 , X ), c_List_Obutlast( Y, Z ) ) }.
% 0.85/1.37 { ! Y = c_List_Olist_ONil( X ), c_List_Olast( X, hAPP( hAPP(
% 0.85/1.37 c_List_Olist_OCons( X ), Z ), Y ) ) = Z }.
% 0.85/1.37 { Y = c_List_Olist_ONil( X ), c_List_Olast( X, hAPP( hAPP(
% 0.85/1.37 c_List_Olist_OCons( X ), Z ), Y ) ) = c_List_Olast( X, Y ) }.
% 0.85/1.37 { c_List_Olist_Olist__case( T, Z, Y, X, c_List_Olist_ONil( Z ) ) = Y }.
% 0.85/1.37 { c_List_Olist_Olist__case( W, U, T, Z, hAPP( hAPP( c_List_Olist_OCons( U )
% 0.85/1.37 , Y ), X ) ) = hAPP( hAPP( Z, Y ), X ) }.
% 0.85/1.37 { Y = c_List_Olist_ONil( X ), hAPP( hAPP( c_List_Oappend( X ),
% 0.85/1.37 c_List_Obutlast( X, Y ) ), hAPP( hAPP( c_List_Olist_OCons( X ),
% 0.85/1.37 c_List_Olast( X, Y ) ), c_List_Olist_ONil( X ) ) ) = Y }.
% 0.85/1.37 { ! hAPP( hAPP( c_List_Oappend( T ), Z ), hAPP( hAPP( c_List_Olist_OCons( T
% 0.85/1.37 ), Y ), c_List_Olist_ONil( T ) ) ) = X, ! X = c_List_Olist_ONil( T ) }.
% 0.85/1.37 { ! hAPP( hAPP( c_List_Oappend( T ), Z ), hAPP( hAPP( c_List_Olist_OCons( T
% 0.85/1.37 ), Y ), c_List_Olist_ONil( T ) ) ) = X, alpha1( X, Y, Z, T ) }.
% 0.85/1.37 { X = c_List_Olist_ONil( T ), ! alpha1( X, Y, Z, T ), hAPP( hAPP(
% 0.85/1.37 c_List_Oappend( T ), Z ), hAPP( hAPP( c_List_Olist_OCons( T ), Y ),
% 0.85/1.37 c_List_Olist_ONil( T ) ) ) = X }.
% 0.85/1.37 { ! alpha1( X, Y, Z, T ), c_List_Obutlast( T, X ) = Z }.
% 0.85/1.37 { ! alpha1( X, Y, Z, T ), c_List_Olast( T, X ) = Y }.
% 0.85/1.37 { ! c_List_Obutlast( T, X ) = Z, ! c_List_Olast( T, X ) = Y, alpha1( X, Y,
% 0.85/1.37 Z, T ) }.
% 0.85/1.37 { c_List_Olist_Olist__rec( T, Z, Y, X, c_List_Olist_ONil( Z ) ) = Y }.
% 0.85/1.37 { c_List_Olist_Olist__rec( W, U, T, Z, hAPP( hAPP( c_List_Olist_OCons( U )
% 0.85/1.37 , Y ), X ) ) = hAPP( hAPP( hAPP( Z, Y ), X ), c_List_Olist_Olist__rec( W
% 0.85/1.37 , U, T, Z, X ) ) }.
% 0.85/1.37 { ! Y = c_List_Olist_ONil( X ), c_List_Onull( X, Y ) }.
% 0.85/1.37 { ! c_List_Onull( X, Y ), Y = c_List_Olist_ONil( X ) }.
% 0.85/1.37 { ! c_List_Onull( Y, X ), X = c_List_Olist_ONil( Y ) }.
% 0.85/1.37 { ! X = c_List_Olist_ONil( Y ), c_List_Onull( Y, X ) }.
% 0.85/1.37 { c_List_Onull( X, c_List_Olist_ONil( X ) ) }.
% 0.85/1.37 { ! c_List_Onull( Z, hAPP( hAPP( c_List_Olist_OCons( Z ), Y ), X ) ) }.
% 0.85/1.37 { c_List_Olast( Z, hAPP( hAPP( c_List_Oappend( Z ), Y ), hAPP( hAPP(
% 0.85/1.37 c_List_Olist_OCons( Z ), X ), c_List_Olist_ONil( Z ) ) ) ) = X }.
% 0.85/1.37 { hAPP( hAPP( c_List_Oappend( T ), hAPP( hAPP( c_List_Oappend( T ), Z ), Y
% 0.85/1.37 ) ), X ) = hAPP( hAPP( c_List_Oappend( T ), Z ), hAPP( hAPP(
% 0.85/1.37 c_List_Oappend( T ), Y ), X ) ) }.
% 0.85/1.37 { ! hAPP( hAPP( c_List_Oappend( U ), T ), Z ) = hAPP( hAPP( c_List_Oappend
% 0.85/1.37 ( U ), Y ), X ), alpha2( X, Y, Z, T, U, skol3( X, Y, Z, T, U ) ), alpha14
% 0.85/1.37 ( X, Y, Z, T, U, skol3( X, Y, Z, T, U ) ) }.
% 0.85/1.37 { ! alpha2( X, Y, Z, T, U, W ), hAPP( hAPP( c_List_Oappend( U ), T ), Z ) =
% 0.85/1.37 hAPP( hAPP( c_List_Oappend( U ), Y ), X ) }.
% 0.85/1.37 { ! alpha14( X, Y, Z, T, U, W ), hAPP( hAPP( c_List_Oappend( U ), T ), Z )
% 0.85/1.37 = hAPP( hAPP( c_List_Oappend( U ), Y ), X ) }.
% 0.85/1.37 { ! alpha14( X, Y, Z, T, U, W ), hAPP( hAPP( c_List_Oappend( U ), T ), W )
% 0.85/1.37 = Y }.
% 0.85/1.37 { ! alpha14( X, Y, Z, T, U, W ), Z = hAPP( hAPP( c_List_Oappend( U ), W ),
% 0.85/1.37 X ) }.
% 0.85/1.37 { ! hAPP( hAPP( c_List_Oappend( U ), T ), W ) = Y, ! Z = hAPP( hAPP(
% 0.85/1.37 c_List_Oappend( U ), W ), X ), alpha14( X, Y, Z, T, U, W ) }.
% 0.85/1.37 { ! alpha2( X, Y, Z, T, U, W ), T = hAPP( hAPP( c_List_Oappend( U ), Y ), W
% 0.85/1.37 ) }.
% 0.85/1.37 { ! alpha2( X, Y, Z, T, U, W ), hAPP( hAPP( c_List_Oappend( U ), W ), Z ) =
% 0.85/1.37 X }.
% 0.85/1.37 { ! T = hAPP( hAPP( c_List_Oappend( U ), Y ), W ), ! hAPP( hAPP(
% 0.85/1.37 c_List_Oappend( U ), W ), Z ) = X, alpha2( X, Y, Z, T, U, W ) }.
% 0.85/1.37 { ! hAPP( hAPP( c_List_Oappend( T ), Z ), Y ) = hAPP( hAPP( c_List_Oappend
% 0.85/1.37 ( T ), Z ), X ), Y = X }.
% 0.85/1.37 { ! Y = X, hAPP( hAPP( c_List_Oappend( T ), Z ), Y ) = hAPP( hAPP(
% 0.85/1.37 c_List_Oappend( T ), Z ), X ) }.
% 0.85/1.37 { ! hAPP( hAPP( c_List_Oappend( T ), Z ), Y ) = hAPP( hAPP( c_List_Oappend
% 0.85/1.37 ( T ), X ), Y ), Z = X }.
% 0.85/1.37 { ! Z = X, hAPP( hAPP( c_List_Oappend( T ), Z ), Y ) = hAPP( hAPP(
% 0.85/1.37 c_List_Oappend( T ), X ), Y ) }.
% 0.85/1.37 { ! hAPP( hAPP( c_List_Oappend( T ), Z ), Y ) = X, ! W = hAPP( hAPP(
% 0.85/1.37 c_List_Oappend( T ), Y ), U ), hAPP( hAPP( c_List_Oappend( T ), Z ), W )
% 0.85/1.37 = hAPP( hAPP( c_List_Oappend( T ), X ), U ) }.
% 0.85/1.37 { hAPP( hAPP( c_List_Oappend( T ), hAPP( hAPP( c_List_Olist_OCons( T ), Z )
% 0.85/1.37 , Y ) ), X ) = hAPP( hAPP( c_List_Olist_OCons( T ), Z ), hAPP( hAPP(
% 0.85/1.37 c_List_Oappend( T ), Y ), X ) ) }.
% 0.85/1.37 { ! hAPP( hAPP( c_List_Olist_OCons( T ), Z ), Y ) = X, ! W = hAPP( hAPP(
% 0.85/1.37 c_List_Oappend( T ), Y ), U ), hAPP( hAPP( c_List_Olist_OCons( T ), Z ),
% 0.85/1.37 W ) = hAPP( hAPP( c_List_Oappend( T ), X ), U ) }.
% 0.85/1.37 { hAPP( hAPP( c_List_Oappend( Y ), c_List_Olist_ONil( Y ) ), X ) = X }.
% 0.85/1.37 { ! c_List_Olist_ONil( Z ) = hAPP( hAPP( c_List_Oappend( Z ), Y ), X ), Y =
% 0.85/1.37 c_List_Olist_ONil( Z ) }.
% 0.85/1.37 { ! c_List_Olist_ONil( Z ) = hAPP( hAPP( c_List_Oappend( Z ), Y ), X ), X =
% 0.85/1.37 c_List_Olist_ONil( Z ) }.
% 0.85/1.37 { ! Y = c_List_Olist_ONil( Z ), ! X = c_List_Olist_ONil( Z ),
% 0.85/1.37 c_List_Olist_ONil( Z ) = hAPP( hAPP( c_List_Oappend( Z ), Y ), X ) }.
% 0.85/1.37 { hAPP( hAPP( c_List_Oappend( Y ), X ), c_List_Olist_ONil( Y ) ) = X }.
% 0.85/1.37 { ! Z = hAPP( hAPP( c_List_Oappend( Y ), Z ), X ), X = c_List_Olist_ONil( Y
% 0.85/1.37 ) }.
% 0.85/1.37 { ! X = c_List_Olist_ONil( Y ), Z = hAPP( hAPP( c_List_Oappend( Y ), Z ), X
% 0.85/1.37 ) }.
% 0.85/1.37 { ! Z = hAPP( hAPP( c_List_Oappend( Y ), X ), Z ), X = c_List_Olist_ONil( Y
% 0.85/1.37 ) }.
% 0.85/1.37 { ! X = c_List_Olist_ONil( Y ), Z = hAPP( hAPP( c_List_Oappend( Y ), X ), Z
% 0.85/1.37 ) }.
% 0.85/1.37 { ! hAPP( hAPP( c_List_Oappend( Z ), Y ), X ) = c_List_Olist_ONil( Z ), Y =
% 0.85/1.37 c_List_Olist_ONil( Z ) }.
% 0.85/1.37 { ! hAPP( hAPP( c_List_Oappend( Z ), Y ), X ) = c_List_Olist_ONil( Z ), X =
% 0.85/1.37 c_List_Olist_ONil( Z ) }.
% 0.85/1.37 { ! Y = c_List_Olist_ONil( Z ), ! X = c_List_Olist_ONil( Z ), hAPP( hAPP(
% 0.85/1.37 c_List_Oappend( Z ), Y ), X ) = c_List_Olist_ONil( Z ) }.
% 0.85/1.37 { ! hAPP( hAPP( c_List_Oappend( Z ), Y ), X ) = Y, X = c_List_Olist_ONil( Z
% 0.85/1.37 ) }.
% 0.85/1.37 { ! X = c_List_Olist_ONil( Z ), hAPP( hAPP( c_List_Oappend( Z ), Y ), X ) =
% 0.85/1.37 Y }.
% 0.85/1.37 { ! hAPP( hAPP( c_List_Oappend( Z ), Y ), X ) = X, Y = c_List_Olist_ONil( Z
% 0.85/1.37 ) }.
% 0.85/1.37 { ! Y = c_List_Olist_ONil( Z ), hAPP( hAPP( c_List_Oappend( Z ), Y ), X ) =
% 0.85/1.37 X }.
% 0.85/1.37 { ! Y = X, Y = hAPP( hAPP( c_List_Oappend( Z ), c_List_Olist_ONil( Z ) ), X
% 0.85/1.37 ) }.
% 0.85/1.37 { ! hAPP( hAPP( c_List_Oappend( U ), T ), Z ) = hAPP( hAPP(
% 0.85/1.37 c_List_Olist_OCons( U ), Y ), X ), alpha3( X, Y, Z, T, U ), alpha15( X, Y
% 0.85/1.37 , Z, T, U ) }.
% 0.85/1.37 { ! alpha3( X, Y, Z, T, U ), hAPP( hAPP( c_List_Oappend( U ), T ), Z ) =
% 0.85/1.37 hAPP( hAPP( c_List_Olist_OCons( U ), Y ), X ) }.
% 0.85/1.37 { ! alpha15( X, Y, Z, T, U ), hAPP( hAPP( c_List_Oappend( U ), T ), Z ) =
% 0.85/1.37 hAPP( hAPP( c_List_Olist_OCons( U ), Y ), X ) }.
% 0.85/1.37 { ! alpha15( X, Y, Z, T, U ), T = hAPP( hAPP( c_List_Olist_OCons( U ), Y )
% 0.85/1.37 , skol4( W, Y, V0, T, U ) ) }.
% 0.85/1.37 { ! alpha15( X, Y, Z, T, U ), hAPP( hAPP( c_List_Oappend( U ), skol4( X, Y
% 0.85/1.37 , Z, T, U ) ), Z ) = X }.
% 0.85/1.37 { ! T = hAPP( hAPP( c_List_Olist_OCons( U ), Y ), W ), ! hAPP( hAPP(
% 0.85/1.37 c_List_Oappend( U ), W ), Z ) = X, alpha15( X, Y, Z, T, U ) }.
% 0.85/1.37 { ! alpha3( X, Y, Z, T, U ), T = c_List_Olist_ONil( U ) }.
% 0.85/1.37 { ! alpha3( X, Y, Z, T, U ), Z = hAPP( hAPP( c_List_Olist_OCons( U ), Y ),
% 0.85/1.37 X ) }.
% 0.85/1.37 { ! T = c_List_Olist_ONil( U ), ! Z = hAPP( hAPP( c_List_Olist_OCons( U ),
% 0.85/1.37 Y ), X ), alpha3( X, Y, Z, T, U ) }.
% 0.85/1.37 { ! hAPP( hAPP( c_List_Olist_OCons( U ), T ), Z ) = hAPP( hAPP(
% 0.85/1.37 c_List_Oappend( U ), Y ), X ), alpha4( X, Y, Z, T, U ), alpha16( X, Y, Z
% 0.85/1.37 , T, U ) }.
% 0.85/1.37 { ! alpha4( X, Y, Z, T, U ), hAPP( hAPP( c_List_Olist_OCons( U ), T ), Z )
% 0.85/1.37 = hAPP( hAPP( c_List_Oappend( U ), Y ), X ) }.
% 0.85/1.37 { ! alpha16( X, Y, Z, T, U ), hAPP( hAPP( c_List_Olist_OCons( U ), T ), Z )
% 0.85/1.37 = hAPP( hAPP( c_List_Oappend( U ), Y ), X ) }.
% 0.85/1.37 { ! alpha16( X, Y, Z, T, U ), hAPP( hAPP( c_List_Olist_OCons( U ), T ),
% 0.85/1.37 skol5( W, Y, V0, T, U ) ) = Y }.
% 0.85/1.37 { ! alpha16( X, Y, Z, T, U ), Z = hAPP( hAPP( c_List_Oappend( U ), skol5( X
% 0.85/1.37 , Y, Z, T, U ) ), X ) }.
% 0.85/1.37 { ! hAPP( hAPP( c_List_Olist_OCons( U ), T ), W ) = Y, ! Z = hAPP( hAPP(
% 0.85/1.37 c_List_Oappend( U ), W ), X ), alpha16( X, Y, Z, T, U ) }.
% 0.85/1.37 { ! alpha4( X, Y, Z, T, U ), Y = c_List_Olist_ONil( U ) }.
% 0.85/1.37 { ! alpha4( X, Y, Z, T, U ), hAPP( hAPP( c_List_Olist_OCons( U ), T ), Z )
% 0.85/1.37 = X }.
% 0.85/1.37 { ! Y = c_List_Olist_ONil( U ), ! hAPP( hAPP( c_List_Olist_OCons( U ), T )
% 0.85/1.37 , Z ) = X, alpha4( X, Y, Z, T, U ) }.
% 0.85/1.37 { ! hAPP( hAPP( c_List_Oappend( U ), T ), hAPP( hAPP( c_List_Olist_OCons( U
% 0.85/1.37 ), Z ), c_List_Olist_ONil( U ) ) ) = hAPP( hAPP( c_List_Oappend( U ), Y
% 0.85/1.37 ), hAPP( hAPP( c_List_Olist_OCons( U ), X ), c_List_Olist_ONil( U ) ) )
% 0.85/1.37 , T = Y }.
% 0.85/1.37 { ! hAPP( hAPP( c_List_Oappend( U ), T ), hAPP( hAPP( c_List_Olist_OCons( U
% 0.85/1.37 ), Z ), c_List_Olist_ONil( U ) ) ) = hAPP( hAPP( c_List_Oappend( U ), Y
% 0.85/1.37 ), hAPP( hAPP( c_List_Olist_OCons( U ), X ), c_List_Olist_ONil( U ) ) )
% 0.85/1.37 , Z = X }.
% 0.85/1.37 { ! T = Y, ! Z = X, hAPP( hAPP( c_List_Oappend( U ), T ), hAPP( hAPP(
% 0.85/1.37 c_List_Olist_OCons( U ), Z ), c_List_Olist_ONil( U ) ) ) = hAPP( hAPP(
% 0.85/1.37 c_List_Oappend( U ), Y ), hAPP( hAPP( c_List_Olist_OCons( U ), X ),
% 0.85/1.37 c_List_Olist_ONil( U ) ) ) }.
% 0.85/1.37 { ! Z = c_List_Olist_ONil( Y ), c_List_Obutlast( Y, hAPP( hAPP(
% 0.85/1.37 c_List_Oappend( Y ), X ), Z ) ) = c_List_Obutlast( Y, X ) }.
% 0.85/1.37 { Z = c_List_Olist_ONil( Y ), c_List_Obutlast( Y, hAPP( hAPP(
% 0.85/1.37 c_List_Oappend( Y ), X ), Z ) ) = hAPP( hAPP( c_List_Oappend( Y ), X ),
% 0.85/1.37 c_List_Obutlast( Y, Z ) ) }.
% 0.85/1.37 { ! Y = c_List_Olist_ONil( X ), c_List_Olast( X, hAPP( hAPP( c_List_Oappend
% 0.85/1.37 ( X ), Z ), Y ) ) = c_List_Olast( X, Z ) }.
% 0.85/1.37 { Y = c_List_Olist_ONil( X ), c_List_Olast( X, hAPP( hAPP( c_List_Oappend(
% 0.85/1.37 X ), Z ), Y ) ) = c_List_Olast( X, Y ) }.
% 0.85/1.37 { ! Z = c_List_Olist_ONil( Y ), c_List_Olast( Y, hAPP( hAPP( c_List_Oappend
% 0.85/1.37 ( Y ), X ), Z ) ) = c_List_Olast( Y, X ) }.
% 0.85/1.37 { Z = c_List_Olist_ONil( Y ), c_List_Olast( Y, hAPP( hAPP( c_List_Oappend(
% 0.85/1.37 Y ), X ), Z ) ) = c_List_Olast( Y, Z ) }.
% 0.85/1.37 { c_List_Obutlast( Z, hAPP( hAPP( c_List_Oappend( Z ), Y ), hAPP( hAPP(
% 0.85/1.37 c_List_Olist_OCons( Z ), X ), c_List_Olist_ONil( Z ) ) ) ) = Y }.
% 0.85/1.37 { ! hBOOL( hAPP( hAPP( c_HOL_Oequal__class_Oequal( tc_List_Olist( Y ) ), X
% 0.85/1.37 ), c_List_Olist_ONil( Y ) ) ), c_List_Onull( Y, X ) }.
% 0.85/1.37 { ! c_List_Onull( Y, X ), hBOOL( hAPP( hAPP( c_HOL_Oequal__class_Oequal(
% 0.85/1.37 tc_List_Olist( Y ) ), X ), c_List_Olist_ONil( Y ) ) ) }.
% 0.85/1.37 { c_List_Orotate1( X, c_List_Olist_ONil( X ) ) = c_List_Olist_ONil( X ) }.
% 0.85/1.37 { c_List_Orotate1( Z, hAPP( hAPP( c_List_Olist_OCons( Z ), Y ), X ) ) =
% 0.85/1.37 hAPP( hAPP( c_List_Oappend( Z ), X ), hAPP( hAPP( c_List_Olist_OCons( Z )
% 0.85/1.37 , Y ), c_List_Olist_ONil( Z ) ) ) }.
% 0.85/1.37 { c_List_Omaps( U, T, Z, hAPP( hAPP( c_List_Olist_OCons( U ), Y ), X ) ) =
% 0.85/1.37 hAPP( hAPP( c_List_Oappend( T ), hAPP( Z, Y ) ), c_List_Omaps( U, T, Z, X
% 0.85/1.37 ) ) }.
% 0.85/1.37 { ! hBOOL( hAPP( Y, c_List_Olist_ONil( X ) ) ), hBOOL( hAPP( Y, skol6( Z, Y
% 0.85/1.37 ) ) ), hBOOL( hAPP( Y, T ) ) }.
% 0.85/1.37 { ! hBOOL( hAPP( Y, c_List_Olist_ONil( X ) ) ), ! hBOOL( hAPP( Y, hAPP(
% 0.85/1.37 hAPP( c_List_Oappend( X ), skol6( X, Y ) ), hAPP( hAPP(
% 0.85/1.37 c_List_Olist_OCons( X ), skol24( X, Y ) ), c_List_Olist_ONil( X ) ) ) ) )
% 0.85/1.37 , hBOOL( hAPP( Y, Z ) ) }.
% 0.85/1.37 { Y = c_List_Olist_ONil( X ), Y = hAPP( hAPP( c_List_Oappend( X ), skol7( X
% 0.85/1.37 , Y ) ), hAPP( hAPP( c_List_Olist_OCons( X ), skol25( X, Y ) ),
% 0.85/1.37 c_List_Olist_ONil( X ) ) ) }.
% 0.85/1.37 { hAPP( hAPP( c_List_Oappend( Z ), c_List_Oreplicate( Z, Y, X ) ), hAPP(
% 0.85/1.37 hAPP( c_List_Olist_OCons( Z ), X ), c_List_Olist_ONil( Z ) ) ) = hAPP(
% 0.85/1.37 hAPP( c_List_Olist_OCons( Z ), X ), c_List_Oreplicate( Z, Y, X ) ) }.
% 0.85/1.37 { c_List_Orev( Z, hAPP( hAPP( c_List_Olist_OCons( Z ), Y ), X ) ) = hAPP(
% 0.85/1.37 hAPP( c_List_Oappend( Z ), c_List_Orev( Z, X ) ), hAPP( hAPP(
% 0.85/1.37 c_List_Olist_OCons( Z ), Y ), c_List_Olist_ONil( Z ) ) ) }.
% 0.85/1.37 { ! c_List_Orev( T, Z ) = hAPP( hAPP( c_List_Olist_OCons( T ), Y ), X ), Z
% 0.85/1.37 = hAPP( hAPP( c_List_Oappend( T ), c_List_Orev( T, X ) ), hAPP( hAPP(
% 0.85/1.37 c_List_Olist_OCons( T ), Y ), c_List_Olist_ONil( T ) ) ) }.
% 0.85/1.37 { ! Z = hAPP( hAPP( c_List_Oappend( T ), c_List_Orev( T, X ) ), hAPP( hAPP
% 0.85/1.37 ( c_List_Olist_OCons( T ), Y ), c_List_Olist_ONil( T ) ) ), c_List_Orev(
% 0.85/1.37 T, Z ) = hAPP( hAPP( c_List_Olist_OCons( T ), Y ), X ) }.
% 0.85/1.37 { Y = c_List_Olist_ONil( X ), c_List_Ohd( X, hAPP( hAPP( c_List_Oappend( X
% 0.85/1.37 ), Y ), Z ) ) = c_List_Ohd( X, Y ) }.
% 0.85/1.37 { ! Z = c_List_Olist_ONil( Y ), c_List_Ohd( Y, hAPP( hAPP( c_List_Oappend(
% 0.85/1.37 Y ), Z ), X ) ) = c_List_Ohd( Y, X ) }.
% 0.85/1.37 { Z = c_List_Olist_ONil( Y ), c_List_Ohd( Y, hAPP( hAPP( c_List_Oappend( Y
% 0.85/1.37 ), Z ), X ) ) = c_List_Ohd( Y, Z ) }.
% 0.85/1.37 { ! c_List_Orev( Z, Y ) = c_List_Orev( Z, X ), Y = X }.
% 0.85/1.37 { ! Y = X, c_List_Orev( Z, Y ) = c_List_Orev( Z, X ) }.
% 0.85/1.37 { ! c_List_Orev( Z, Y ) = X, Y = c_List_Orev( Z, X ) }.
% 0.85/1.37 { ! Y = c_List_Orev( Z, X ), c_List_Orev( Z, Y ) = X }.
% 0.85/1.37 { c_List_Orev( Z, c_List_Oreplicate( Z, Y, X ) ) = c_List_Oreplicate( Z, Y
% 0.85/1.37 , X ) }.
% 0.85/1.37 { c_List_Orev( Y, c_List_Orev( Y, X ) ) = X }.
% 0.85/1.37 { ! hBOOL( hAPP( hAPP( c_HOL_Oequal__class_Oequal( tc_List_Olist( Z ) ), Y
% 0.85/1.37 ), X ) ), Y = X }.
% 0.85/1.37 { ! Y = X, hBOOL( hAPP( hAPP( c_HOL_Oequal__class_Oequal( tc_List_Olist( Z
% 0.85/1.37 ) ), Y ), X ) ) }.
% 0.85/1.37 { ! c_List_Orev( Y, X ) = c_List_Olist_ONil( Y ), X = c_List_Olist_ONil( Y
% 0.85/1.37 ) }.
% 0.85/1.37 { ! X = c_List_Olist_ONil( Y ), c_List_Orev( Y, X ) = c_List_Olist_ONil( Y
% 0.85/1.37 ) }.
% 0.85/1.37 { ! c_List_Olist_ONil( Y ) = c_List_Orev( Y, X ), X = c_List_Olist_ONil( Y
% 0.85/1.37 ) }.
% 0.85/1.37 { ! X = c_List_Olist_ONil( Y ), c_List_Olist_ONil( Y ) = c_List_Orev( Y, X
% 0.85/1.37 ) }.
% 0.85/1.37 { c_List_Orev( X, c_List_Olist_ONil( X ) ) = c_List_Olist_ONil( X ) }.
% 0.85/1.37 { c_List_Orev( Z, hAPP( hAPP( c_List_Oappend( Z ), Y ), X ) ) = hAPP( hAPP
% 0.85/1.37 ( c_List_Oappend( Z ), c_List_Orev( Z, X ) ), c_List_Orev( Z, Y ) ) }.
% 0.85/1.37 { ! c_List_Odistinct( Y, c_List_Orev( Y, X ) ), c_List_Odistinct( Y, X ) }
% 0.85/1.37 .
% 0.85/1.37 { ! c_List_Odistinct( Y, X ), c_List_Odistinct( Y, c_List_Orev( Y, X ) ) }
% 0.85/1.37 .
% 0.85/1.37 { Y = c_List_Olist_ONil( X ), c_List_Ohd( X, c_List_Orev( X, Y ) ) =
% 0.85/1.37 c_List_Olast( X, Y ) }.
% 0.85/1.37 { Y = c_List_Olist_ONil( X ), c_List_Olast( X, c_List_Orev( X, Y ) ) =
% 0.85/1.37 c_List_Ohd( X, Y ) }.
% 0.85/1.37 { hAPP( hAPP( c_List_Oappend( T ), c_List_Oreplicate( T, Z, Y ) ),
% 0.85/1.37 c_List_Oreplicate( T, X, Y ) ) = hAPP( hAPP( c_List_Oappend( T ),
% 0.85/1.37 c_List_Oreplicate( T, X, Y ) ), c_List_Oreplicate( T, Z, Y ) ) }.
% 0.85/1.37 { c_List_Ohd( Z, hAPP( hAPP( c_List_Olist_OCons( Z ), Y ), X ) ) = Y }.
% 0.85/1.37 { ! c_List_Orotate1( Y, X ) = c_List_Olist_ONil( Y ), X = c_List_Olist_ONil
% 0.85/1.37 ( Y ) }.
% 0.85/1.37 { ! X = c_List_Olist_ONil( Y ), c_List_Orotate1( Y, X ) = c_List_Olist_ONil
% 0.85/1.37 ( Y ) }.
% 0.85/1.37 { ! c_List_Odistinct( Y, c_List_Orotate1( Y, X ) ), c_List_Odistinct( Y, X
% 0.85/1.37 ) }.
% 0.85/1.37 { ! c_List_Odistinct( Y, X ), c_List_Odistinct( Y, c_List_Orotate1( Y, X )
% 0.85/1.37 ) }.
% 0.85/1.37 { ! hAPP( hAPP( c_List_Olist_OCons( Z ), Y ), c_List_Olist_ONil( Z ) ) =
% 0.85/1.37 c_List_Orev( Z, X ), X = hAPP( hAPP( c_List_Olist_OCons( Z ), Y ),
% 0.85/1.37 c_List_Olist_ONil( Z ) ) }.
% 0.85/1.37 { ! X = hAPP( hAPP( c_List_Olist_OCons( Z ), Y ), c_List_Olist_ONil( Z ) )
% 0.85/1.37 , hAPP( hAPP( c_List_Olist_OCons( Z ), Y ), c_List_Olist_ONil( Z ) ) =
% 0.85/1.37 c_List_Orev( Z, X ) }.
% 0.85/1.37 { ! c_List_Orev( Z, Y ) = hAPP( hAPP( c_List_Olist_OCons( Z ), X ),
% 0.85/1.37 c_List_Olist_ONil( Z ) ), Y = hAPP( hAPP( c_List_Olist_OCons( Z ), X ),
% 0.85/1.37 c_List_Olist_ONil( Z ) ) }.
% 0.85/1.37 { ! Y = hAPP( hAPP( c_List_Olist_OCons( Z ), X ), c_List_Olist_ONil( Z ) )
% 0.85/1.37 , c_List_Orev( Z, Y ) = hAPP( hAPP( c_List_Olist_OCons( Z ), X ),
% 0.85/1.37 c_List_Olist_ONil( Z ) ) }.
% 0.85/1.37 { hAPP( hAPP( c_List_Oappend( T ), c_List_Oreplicate( T, Z, Y ) ), hAPP(
% 0.85/1.37 hAPP( c_List_Olist_OCons( T ), Y ), X ) ) = hAPP( hAPP(
% 0.85/1.37 c_List_Olist_OCons( T ), Y ), hAPP( hAPP( c_List_Oappend( T ),
% 0.85/1.37 c_List_Oreplicate( T, Z, Y ) ), X ) ) }.
% 0.85/1.37 { c_List_Omaps( Z, Y, X, c_List_Olist_ONil( Z ) ) = c_List_Olist_ONil( Y )
% 0.85/1.37 }.
% 0.85/1.37 { Y = c_List_Olist_ONil( X ), c_List_Orotate1( X, Y ) = hAPP( hAPP(
% 0.85/1.37 c_List_Oappend( X ), c_List_Otl( X, Y ) ), hAPP( hAPP( c_List_Olist_OCons
% 0.85/1.37 ( X ), c_List_Ohd( X, Y ) ), c_List_Olist_ONil( X ) ) ) }.
% 0.85/1.37 { ! class_HOL_Oequal( X ), c_HOL_Oequal__class_Oequal( X ) = c_fequal }.
% 0.85/1.37 { ! class_HOL_Oequal( X ), hBOOL( hAPP( hAPP( c_HOL_Oequal__class_Oequal( X
% 0.85/1.37 ), Y ), Y ) ) }.
% 0.85/1.37 { ! class_HOL_Oequal( X ), ! hBOOL( hAPP( hAPP( c_HOL_Oequal__class_Oequal
% 0.85/1.37 ( X ), Z ), Y ) ), Z = Y }.
% 0.85/1.37 { ! class_HOL_Oequal( X ), ! Z = Y, hBOOL( hAPP( hAPP(
% 0.85/1.37 c_HOL_Oequal__class_Oequal( X ), Z ), Y ) ) }.
% 0.85/1.37 { ! class_HOL_Oequal( X ), c_fequal = c_HOL_Oequal__class_Oequal( X ) }.
% 0.85/1.37 { c_List_OdropWhile( Z, Y, X ) = c_List_Olist_ONil( Z ), ! hBOOL( hAPP( Y,
% 0.85/1.37 c_List_Ohd( Z, c_List_OdropWhile( Z, Y, X ) ) ) ) }.
% 0.85/1.37 { Y = c_List_Olist_ONil( X ), c_List_Otl( X, hAPP( hAPP( c_List_Oappend( X
% 0.85/1.37 ), Y ), Z ) ) = hAPP( hAPP( c_List_Oappend( X ), c_List_Otl( X, Y ) ), Z
% 0.85/1.37 ) }.
% 0.85/1.37 { ! c_List_Olist__ex1( Y, X, c_List_Olist_ONil( Y ) ) }.
% 0.85/1.37 { ! c_List_Omember( Y, c_List_Olist_ONil( Y ), X ) }.
% 0.85/1.37 { c_List_Otl( Z, hAPP( hAPP( c_List_Olist_OCons( Z ), Y ), X ) ) = X }.
% 0.85/1.37 { c_List_Otl( X, c_List_Olist_ONil( X ) ) = c_List_Olist_ONil( X ) }.
% 0.85/1.37 { ! hBOOL( hAPP( T, Z ) ), c_List_OdropWhile( Y, T, hAPP( hAPP(
% 0.85/1.37 c_List_Olist_OCons( Y ), Z ), X ) ) = c_List_OdropWhile( Y, T, X ) }.
% 0.85/1.37 { hBOOL( hAPP( T, Z ) ), c_List_OdropWhile( Y, T, hAPP( hAPP(
% 0.85/1.37 c_List_Olist_OCons( Y ), Z ), X ) ) = hAPP( hAPP( c_List_Olist_OCons( Y )
% 0.85/1.37 , Z ), X ) }.
% 0.85/1.37 { c_List_OdropWhile( Y, X, c_List_Olist_ONil( Y ) ) = c_List_Olist_ONil( Y
% 0.85/1.37 ) }.
% 0.85/1.37 { ! c_List_Odistinct( Y, X ), c_List_Odistinct( Y, c_List_Otl( Y, X ) ) }.
% 0.85/1.37 { ! c_List_Odistinct( Y, X ), c_List_Odistinct( Y, c_List_OdropWhile( Y, Z
% 0.85/1.37 , X ) ) }.
% 0.85/1.37 { ! class_Orderings_Olinorder( X ), ! c_List_Olinorder__class_Osorted( X, Y
% 0.85/1.37 ), c_List_Olinorder__class_Osorted( X, c_List_Otl( X, Y ) ) }.
% 0.85/1.37 { ! class_Orderings_Olinorder( X ), ! c_List_Olinorder__class_Osorted( X, Y
% 0.85/1.37 ), c_List_Olinorder__class_Osorted( X, c_List_OdropWhile( X, Z, Y ) ) }
% 0.85/1.37 .
% 0.85/1.37 { ! c_List_Omember( T, hAPP( hAPP( c_List_Olist_OCons( T ), Z ), Y ), X ),
% 0.85/1.37 Z = X, c_List_Omember( T, Y, X ) }.
% 0.85/1.37 { ! Z = X, c_List_Omember( T, hAPP( hAPP( c_List_Olist_OCons( T ), Z ), Y )
% 0.85/1.37 , X ) }.
% 0.85/1.37 { ! c_List_Omember( T, Y, X ), c_List_Omember( T, hAPP( hAPP(
% 0.85/1.37 c_List_Olist_OCons( T ), Z ), Y ), X ) }.
% 0.85/1.37 { ! c_List_OdropWhile( U, T, Z ) = hAPP( hAPP( c_List_Olist_OCons( U ), Y )
% 0.85/1.37 , X ), Z = hAPP( hAPP( c_List_Oappend( U ), c_List_OtakeWhile( U, T, Z )
% 0.85/1.37 ), hAPP( hAPP( c_List_Olist_OCons( U ), Y ), X ) ) }.
% 0.85/1.37 { ! c_List_OdropWhile( U, T, Z ) = hAPP( hAPP( c_List_Olist_OCons( U ), Y )
% 0.85/1.37 , X ), ! hBOOL( hAPP( T, Y ) ) }.
% 0.85/1.37 { ! Z = hAPP( hAPP( c_List_Oappend( U ), c_List_OtakeWhile( U, T, Z ) ),
% 0.85/1.37 hAPP( hAPP( c_List_Olist_OCons( U ), Y ), X ) ), hBOOL( hAPP( T, Y ) ),
% 0.85/1.37 c_List_OdropWhile( U, T, Z ) = hAPP( hAPP( c_List_Olist_OCons( U ), Y ),
% 0.85/1.37 X ) }.
% 0.85/1.37 { hAPP( hAPP( c_List_Oappend( Z ), c_List_OtakeWhile( Z, Y, X ) ),
% 0.85/1.37 c_List_OdropWhile( Z, Y, X ) ) = X }.
% 0.85/1.37 { X = c_Groups_Ozero__class_Ozero( tc_Nat_Onat ), c_List_Ohd( Z,
% 0.85/1.37 c_List_Oreplicate( Z, X, Y ) ) = Y }.
% 0.85/1.37 { X = c_Groups_Ozero__class_Ozero( tc_Nat_Onat ), c_List_Olast( Z,
% 0.85/1.37 c_List_Oreplicate( Z, X, Y ) ) = Y }.
% 0.85/1.37 { Y = c_List_Olist_ONil( X ), Y = hAPP( hAPP( c_List_Olist_OCons( X ),
% 0.85/1.37 skol8( X, Y ) ), skol26( X, Y ) ) }.
% 0.85/1.37 { ! Y = hAPP( hAPP( c_List_Olist_OCons( X ), Z ), T ), ! Y =
% 0.85/1.37 c_List_Olist_ONil( X ) }.
% 0.85/1.37 { Y = c_List_Olist_ONil( X ), Y = hAPP( hAPP( c_List_Olist_OCons( X ),
% 0.85/1.37 skol9( X, Y ) ), skol27( X, Y ) ) }.
% 0.85/1.37 { c_List_Omap__filter( Z, Y, X, c_List_Olist_ONil( Z ) ) =
% 0.85/1.37 c_List_Olist_ONil( Y ) }.
% 0.85/1.37 { hBOOL( hAPP( Y, X ) ), c_List_OtakeWhile( U, Y, hAPP( hAPP(
% 0.85/1.37 c_List_Oappend( U ), T ), hAPP( hAPP( c_List_Olist_OCons( U ), X ), Z ) )
% 0.85/1.37 ) = c_List_OtakeWhile( U, Y, T ) }.
% 0.85/1.37 { c_List_OtakeWhile( Y, X, c_List_Olist_ONil( Y ) ) = c_List_Olist_ONil( Y
% 0.85/1.37 ) }.
% 0.85/1.37 { ! c_List_Oreplicate( U, T, Z ) = c_List_Oreplicate( U, Y, X ), T = Y }.
% 0.85/1.37 { ! c_List_Oreplicate( U, T, Z ) = c_List_Oreplicate( U, Y, X ), alpha5( X
% 0.85/1.37 , Z, T ) }.
% 0.85/1.37 { ! T = Y, ! alpha5( X, Z, T ), c_List_Oreplicate( U, T, Z ) =
% 0.85/1.37 c_List_Oreplicate( U, Y, X ) }.
% 0.85/1.37 { ! alpha5( X, Y, Z ), Z = c_Groups_Ozero__class_Ozero( tc_Nat_Onat ), Y =
% 0.85/1.37 X }.
% 0.85/1.37 { ! Z = c_Groups_Ozero__class_Ozero( tc_Nat_Onat ), alpha5( X, Y, Z ) }.
% 0.85/1.37 { ! Y = X, alpha5( X, Y, Z ) }.
% 0.85/1.37 { ! c_List_Odistinct( Y, X ), c_List_Odistinct( Y, c_List_OtakeWhile( Y, Z
% 0.85/1.37 , X ) ) }.
% 0.85/1.37 { ! class_Orderings_Olinorder( X ), ! c_List_Olinorder__class_Osorted( X, Y
% 0.85/1.37 ), c_List_Olinorder__class_Osorted( X, c_List_OtakeWhile( X, Z, Y ) ) }
% 0.85/1.37 .
% 0.85/1.37 { c_List_Oreplicate( Y, c_Groups_Ozero__class_Ozero( tc_Nat_Onat ), X ) =
% 0.85/1.37 c_List_Olist_ONil( Y ) }.
% 0.85/1.37 { ! c_List_Olist_ONil( Z ) = c_List_Oreplicate( Z, Y, X ), Y =
% 0.85/1.37 c_Groups_Ozero__class_Ozero( tc_Nat_Onat ) }.
% 0.85/1.37 { ! Y = c_Groups_Ozero__class_Ozero( tc_Nat_Onat ), c_List_Olist_ONil( Z )
% 0.85/1.37 = c_List_Oreplicate( Z, Y, X ) }.
% 0.85/1.37 { ! c_List_Oreplicate( Z, Y, X ) = c_List_Olist_ONil( Z ), Y =
% 0.85/1.37 c_Groups_Ozero__class_Ozero( tc_Nat_Onat ) }.
% 0.85/1.37 { ! Y = c_Groups_Ozero__class_Ozero( tc_Nat_Onat ), c_List_Oreplicate( Z, Y
% 0.85/1.37 , X ) = c_List_Olist_ONil( Z ) }.
% 0.85/1.37 { ! hBOOL( hAPP( T, Z ) ), c_List_OtakeWhile( Y, T, hAPP( hAPP(
% 0.85/1.37 c_List_Olist_OCons( Y ), Z ), X ) ) = hAPP( hAPP( c_List_Olist_OCons( Y )
% 0.85/1.37 , Z ), c_List_OtakeWhile( Y, T, X ) ) }.
% 0.85/1.37 { hBOOL( hAPP( T, Z ) ), c_List_OtakeWhile( Y, T, hAPP( hAPP(
% 0.85/1.37 c_List_Olist_OCons( Y ), Z ), X ) ) = c_List_Olist_ONil( Y ) }.
% 0.85/1.37 { c_List_Olist_Olist__size( Y, X, c_List_Olist_ONil( Y ) ) =
% 0.85/1.37 c_Groups_Ozero__class_Ozero( tc_Nat_Onat ) }.
% 0.85/1.37 { ! class_Groups_Ozero( X ), ! c_Groups_Ozero__class_Ozero( X ) = Y, Y =
% 0.85/1.37 c_Groups_Ozero__class_Ozero( X ) }.
% 0.85/1.37 { ! class_Groups_Ozero( X ), ! Y = c_Groups_Ozero__class_Ozero( X ),
% 0.85/1.37 c_Groups_Ozero__class_Ozero( X ) = Y }.
% 0.85/1.37 { Y = c_List_Olist_ONil( X ), c_List_Ohd( X, Y ) = hAPP( c_List_Onth( X, Y
% 0.85/1.37 ), c_Groups_Ozero__class_Ozero( tc_Nat_Onat ) ) }.
% 0.85/1.37 { ! class_Orderings_Olinorder( X ), hAPP( hAPP(
% 0.85/1.37 c_List_Olinorder__class_Oinsort__key( T, X, Z ), Y ), c_List_Olist_ONil(
% 0.85/1.37 T ) ) = hAPP( hAPP( c_List_Olist_OCons( T ), Y ), c_List_Olist_ONil( T )
% 0.85/1.37 ) }.
% 0.85/1.37 { Y = c_List_Olist_ONil( X ), ! c_List_Odistinct( X, Y ), c_List_OtakeWhile
% 0.85/1.37 ( X, c_COMBB( tc_HOL_Obool, tc_HOL_Obool, X, c_fNot, hAPP( c_COMBC( X, X
% 0.85/1.37 , tc_HOL_Obool, c_fequal ), c_List_Olast( X, Y ) ) ), Y ) =
% 0.85/1.37 c_List_Obutlast( X, Y ) }.
% 0.85/1.37 { ! class_Groups_Omonoid__add( X ), hAPP(
% 0.85/1.37 c_List_Omonoid__add__class_Olistsum( X ), c_List_Olist_ONil( X ) ) =
% 0.85/1.37 c_Groups_Ozero__class_Ozero( X ) }.
% 0.85/1.37 { ! class_Orderings_Olinorder( X ), ! c_List_Olinorder__class_Osorted( X,
% 0.85/1.37 hAPP( hAPP( c_List_Olinorder__class_Oinsort__key( X, X, c_COMBI( X ) ), Z
% 0.85/1.37 ), Y ) ), c_List_Olinorder__class_Osorted( X, Y ) }.
% 0.85/1.37 { ! class_Orderings_Olinorder( X ), ! c_List_Olinorder__class_Osorted( X, Y
% 0.85/1.37 ), c_List_Olinorder__class_Osorted( X, hAPP( hAPP(
% 0.85/1.37 c_List_Olinorder__class_Oinsort__key( X, X, c_COMBI( X ) ), Z ), Y ) ) }
% 0.85/1.37 .
% 0.85/1.37 { ! class_Orderings_Olinorder( X ), hAPP( hAPP(
% 0.85/1.37 c_List_Olinorder__class_Oinsort__key( X, X, c_COMBI( X ) ), T ), hAPP(
% 0.85/1.37 hAPP( c_List_Olinorder__class_Oinsort__key( X, X, c_COMBI( X ) ), Z ), Y
% 0.85/1.37 ) ) = hAPP( hAPP( c_List_Olinorder__class_Oinsort__key( X, X, c_COMBI( X
% 0.85/1.37 ) ), Z ), hAPP( hAPP( c_List_Olinorder__class_Oinsort__key( X, X,
% 0.85/1.37 c_COMBI( X ) ), T ), Y ) ) }.
% 0.85/1.37 { ! class_Orderings_Olinorder( X ), hAPP( T, Z ) = hAPP( T, Y ), hAPP( hAPP
% 0.85/1.37 ( c_List_Olinorder__class_Oinsort__key( W, X, T ), Y ), hAPP( hAPP(
% 0.85/1.37 c_List_Olinorder__class_Oinsort__key( W, X, T ), Z ), U ) ) = hAPP( hAPP
% 0.85/1.37 ( c_List_Olinorder__class_Oinsort__key( W, X, T ), Z ), hAPP( hAPP(
% 0.85/1.37 c_List_Olinorder__class_Oinsort__key( W, X, T ), Y ), U ) ) }.
% 0.85/1.37 { c_List_Otl( Z, hAPP( hAPP( c_List_Oappend( Z ), Y ), X ) ) =
% 0.85/1.37 c_List_Olist_Olist__case( tc_List_Olist( Z ), Z, c_List_Otl( Z, X ),
% 0.85/1.37 c_COMBK( tc_fun( tc_List_Olist( Z ), tc_List_Olist( Z ) ), Z, hAPP(
% 0.85/1.37 c_COMBC( tc_List_Olist( Z ), tc_List_Olist( Z ), tc_List_Olist( Z ),
% 0.85/1.37 c_List_Oappend( Z ) ), X ) ), Y ) }.
% 0.85/1.37 { ! class_Orderings_Olinorder( X ), ! hAPP( hAPP(
% 0.85/1.37 c_List_Olinorder__class_Oinsort__key( U, X, T ), Z ), Y ) =
% 0.85/1.37 c_List_Olist_ONil( U ) }.
% 0.85/1.37 { ! class_Groups_Ocomm__monoid__add( X ), hAPP(
% 0.85/1.37 c_List_Omonoid__add__class_Olistsum( X ), c_List_Orev( X, Y ) ) = hAPP(
% 0.85/1.37 c_List_Omonoid__add__class_Olistsum( X ), Y ) }.
% 0.85/1.37 { c_List_Orotate1( Y, X ) = c_List_Olist_Olist__case( tc_List_Olist( Y ), Y
% 0.85/1.37 , c_List_Olist_ONil( Y ), c_COMBB( tc_List_Olist( Y ), tc_fun(
% 0.85/1.37 tc_List_Olist( Y ), tc_List_Olist( Y ) ), Y, c_COMBC( tc_List_Olist( Y )
% 0.85/1.37 , tc_List_Olist( Y ), tc_List_Olist( Y ), c_List_Oappend( Y ) ), hAPP(
% 0.85/1.37 c_COMBC( Y, tc_List_Olist( Y ), tc_List_Olist( Y ), c_List_Olist_OCons( Y
% 0.85/1.37 ) ), c_List_Olist_ONil( Y ) ) ), X ) }.
% 0.85/1.37 { hAPP( c_List_Onth( Z, hAPP( hAPP( c_List_Olist_OCons( Z ), Y ), X ) ),
% 0.85/1.37 c_Groups_Ozero__class_Ozero( tc_Nat_Onat ) ) = Y }.
% 0.85/1.37 { c_List_Omap__filter( U, T, Z, hAPP( hAPP( c_List_Olist_OCons( U ), Y ), X
% 0.85/1.37 ) ) = c_Option_Ooption_Ooption__case( tc_List_Olist( T ), T,
% 0.85/1.37 c_List_Omap__filter( U, T, Z, X ), hAPP( c_COMBC( T, tc_List_Olist( T ),
% 0.85/1.37 tc_List_Olist( T ), c_List_Olist_OCons( T ) ), c_List_Omap__filter( U, T
% 0.85/1.37 , Z, X ) ), hAPP( Z, Y ) ) }.
% 0.85/1.37 { hAPP( c_List_Onth( T, hAPP( hAPP( c_List_Olist_OCons( T ), Z ), Y ) ), X
% 0.85/1.37 ) = c_Nat_Onat_Onat__case( T, Z, c_List_Onth( T, Y ), X ) }.
% 0.85/1.37 { ! c_List_Olist__ex1( T, Z, hAPP( hAPP( c_List_Olist_OCons( T ), Y ), X )
% 0.85/1.37 ), alpha6( X, Y, Z, T ) }.
% 0.85/1.37 { ! c_List_Olist__ex1( T, Z, hAPP( hAPP( c_List_Olist_OCons( T ), Y ), X )
% 0.85/1.37 ), alpha17( X, Y, Z, T ) }.
% 0.85/1.37 { ! alpha6( X, Y, Z, T ), ! alpha17( X, Y, Z, T ), c_List_Olist__ex1( T, Z
% 0.85/1.37 , hAPP( hAPP( c_List_Olist_OCons( T ), Y ), X ) ) }.
% 0.85/1.37 { ! alpha17( X, Y, Z, T ), hBOOL( hAPP( Z, Y ) ), c_List_Olist__ex1( T, Z,
% 0.85/1.37 X ) }.
% 0.85/1.37 { ! hBOOL( hAPP( Z, Y ) ), alpha17( X, Y, Z, T ) }.
% 0.85/1.37 { ! c_List_Olist__ex1( T, Z, X ), alpha17( X, Y, Z, T ) }.
% 0.85/1.37 { ! alpha6( X, Y, Z, T ), ! hBOOL( hAPP( Z, Y ) ), c_List_Olist__all( T,
% 0.85/1.37 c_COMBS( T, tc_HOL_Obool, tc_HOL_Obool, c_COMBB( tc_HOL_Obool, tc_fun(
% 0.85/1.37 tc_HOL_Obool, tc_HOL_Obool ), T, c_fdisj, c_COMBB( tc_HOL_Obool,
% 0.85/1.37 tc_HOL_Obool, T, c_fNot, Z ) ), hAPP( c_fequal, Y ) ), X ) }.
% 0.85/1.37 { hBOOL( hAPP( Z, Y ) ), alpha6( X, Y, Z, T ) }.
% 0.85/1.37 { ! c_List_Olist__all( T, c_COMBS( T, tc_HOL_Obool, tc_HOL_Obool, c_COMBB(
% 0.85/1.37 tc_HOL_Obool, tc_fun( tc_HOL_Obool, tc_HOL_Obool ), T, c_fdisj, c_COMBB(
% 0.85/1.37 tc_HOL_Obool, tc_HOL_Obool, T, c_fNot, Z ) ), hAPP( c_fequal, Y ) ), X )
% 0.85/1.37 , alpha6( X, Y, Z, T ) }.
% 0.85/1.37 { c_List_Orev( Y, X ) = hAPP( c_List_Ofoldl( tc_List_Olist( Y ), Y, c_COMBC
% 0.85/1.37 ( Y, tc_List_Olist( Y ), tc_List_Olist( Y ), c_List_Olist_OCons( Y ) ),
% 0.85/1.37 c_List_Olist_ONil( Y ) ), X ) }.
% 0.85/1.37 { ! class_Orderings_Olinorder( X ), c_List_Olinorder__class_Osort__key( U,
% 0.85/1.37 X, T, hAPP( hAPP( c_List_Olist_OCons( U ), Z ), Y ) ) = hAPP( hAPP(
% 0.85/1.37 c_List_Olinorder__class_Oinsort__key( U, X, T ), Z ),
% 0.85/1.37 c_List_Olinorder__class_Osort__key( U, X, T, Y ) ) }.
% 0.85/1.37 { hAPP( c_List_Onth( T, hAPP( hAPP( c_List_Oappend( T ), Z ), hAPP( hAPP(
% 0.85/1.37 c_List_Olist_OCons( T ), Y ), X ) ) ), hAPP( c_Nat_Osize__class_Osize(
% 0.85/1.37 tc_List_Olist( T ) ), Z ) ) = Y }.
% 0.85/1.37 { ! class_Orderings_Olinorder( X ), ! c_List_Olinorder__class_Osorted( X, Y
% 0.85/1.37 ), c_List_Olinorder__class_Osorted( X,
% 0.85/1.37 c_List_Olinorder__class_Oinsort__insert__key( X, X, c_COMBI( X ), Z, Y )
% 0.85/1.37 ) }.
% 0.85/1.37 { hAPP( c_Nat_Osize__class_Osize( tc_List_Olist( Z ) ), Y ) = hAPP(
% 0.85/1.37 c_Nat_Osize__class_Osize( tc_List_Olist( Z ) ), X ), ! Y = X }.
% 0.85/1.37 { ! class_Orderings_Olinorder( X ), hAPP( c_Nat_Osize__class_Osize(
% 0.85/1.37 tc_List_Olist( T ) ), c_List_Olinorder__class_Osort__key( T, X, Z, Y ) )
% 0.85/1.37 = hAPP( c_Nat_Osize__class_Osize( tc_List_Olist( T ) ), Y ) }.
% 0.85/1.37 { hAPP( c_Nat_Osize__class_Osize( tc_List_Olist( Y ) ), c_List_Orev( Y, X )
% 0.85/1.37 ) = hAPP( c_Nat_Osize__class_Osize( tc_List_Olist( Y ) ), X ) }.
% 0.85/1.37 { hAPP( c_List_Ofoldl( W, U, T, Z ), hAPP( hAPP( c_List_Olist_OCons( U ), Y
% 0.85/1.37 ), X ) ) = hAPP( c_List_Ofoldl( W, U, T, hAPP( hAPP( T, Z ), Y ) ), X )
% 0.85/1.37 }.
% 0.85/1.37 { hAPP( c_Nat_Osize__class_Osize( tc_List_Olist( Z ) ), c_List_Oreplicate(
% 0.85/1.37 Z, Y, X ) ) = Y }.
% 0.85/1.37 { hAPP( c_List_Ofoldl( T, Z, Y, X ), c_List_Olist_ONil( Z ) ) = X }.
% 0.85/1.37 { hAPP( c_List_Ofoldl( W, U, T, Z ), hAPP( hAPP( c_List_Oappend( U ), Y ),
% 0.85/1.37 X ) ) = hAPP( c_List_Ofoldl( W, U, T, hAPP( c_List_Ofoldl( W, U, T, Z ),
% 0.85/1.37 Y ) ), X ) }.
% 0.85/1.37 { hAPP( c_Nat_Osize__class_Osize( tc_List_Olist( Y ) ), c_List_Orotate1( Y
% 0.85/1.37 , X ) ) = hAPP( c_Nat_Osize__class_Osize( tc_List_Olist( Y ) ), X ) }.
% 0.85/1.37 { ! class_Orderings_Olinorder( X ), c_List_Olinorder__class_Osort__key( X,
% 0.85/1.37 X, c_COMBI( X ), Y ) = hAPP( c_List_Ofoldl( tc_List_Olist( X ), X,
% 0.85/1.37 c_COMBC( X, tc_List_Olist( X ), tc_List_Olist( X ),
% 0.85/1.37 c_List_Olinorder__class_Oinsort__key( X, X, c_COMBI( X ) ) ),
% 0.85/1.37 c_List_Olist_ONil( X ) ), Y ) }.
% 0.85/1.37 { ! c_List_Olist__all( T, Z, hAPP( hAPP( c_List_Olist_OCons( T ), Y ), X )
% 0.85/1.37 ), hBOOL( hAPP( Z, Y ) ) }.
% 0.85/1.37 { ! c_List_Olist__all( T, Z, hAPP( hAPP( c_List_Olist_OCons( T ), Y ), X )
% 0.85/1.37 ), c_List_Olist__all( T, Z, X ) }.
% 0.85/1.37 { ! hBOOL( hAPP( Z, Y ) ), ! c_List_Olist__all( T, Z, X ),
% 0.85/1.37 c_List_Olist__all( T, Z, hAPP( hAPP( c_List_Olist_OCons( T ), Y ), X ) )
% 0.85/1.37 }.
% 0.85/1.37 { c_List_Olist__all( Y, X, c_List_Olist_ONil( Y ) ) }.
% 0.85/1.37 { ! c_List_Olist__all( T, Z, hAPP( hAPP( c_List_Oappend( T ), Y ), X ) ),
% 0.85/1.37 c_List_Olist__all( T, Z, Y ) }.
% 0.85/1.37 { ! c_List_Olist__all( T, Z, hAPP( hAPP( c_List_Oappend( T ), Y ), X ) ),
% 0.85/1.37 c_List_Olist__all( T, Z, X ) }.
% 0.85/1.37 { ! c_List_Olist__all( T, Z, Y ), ! c_List_Olist__all( T, Z, X ),
% 0.85/1.37 c_List_Olist__all( T, Z, hAPP( hAPP( c_List_Oappend( T ), Y ), X ) ) }.
% 0.85/1.37 { ! class_Orderings_Olinorder( X ), c_List_Olinorder__class_Osort__key( Z,
% 0.85/1.37 X, Y, c_List_Olist_ONil( Z ) ) = c_List_Olist_ONil( Z ) }.
% 0.85/1.37 { ! c_List_Olist__all( Z, Y, c_List_Orev( Z, X ) ), c_List_Olist__all( Z, Y
% 0.85/1.37 , X ) }.
% 0.85/1.37 { ! c_List_Olist__all( Z, Y, X ), c_List_Olist__all( Z, Y, c_List_Orev( Z,
% 0.85/1.37 X ) ) }.
% 0.85/1.37 { ! class_Orderings_Olinorder( X ), ! c_List_Odistinct( T,
% 0.85/1.37 c_List_Olinorder__class_Osort__key( T, X, Z, Y ) ), c_List_Odistinct( T,
% 0.85/1.37 Y ) }.
% 0.85/1.37 { ! class_Orderings_Olinorder( X ), ! c_List_Odistinct( T, Y ),
% 0.85/1.37 c_List_Odistinct( T, c_List_Olinorder__class_Osort__key( T, X, Z, Y ) ) }
% 0.85/1.37 .
% 0.85/1.37 { ! hAPP( c_Nat_Osize__class_Osize( tc_List_Olist( Y ) ), X ) =
% 0.85/1.37 c_Groups_Ozero__class_Ozero( tc_Nat_Onat ), X = c_List_Olist_ONil( Y ) }
% 0.85/1.37 .
% 0.85/1.37 { ! X = c_List_Olist_ONil( Y ), hAPP( c_Nat_Osize__class_Osize(
% 0.85/1.37 tc_List_Olist( Y ) ), X ) = c_Groups_Ozero__class_Ozero( tc_Nat_Onat ) }
% 0.85/1.37 .
% 0.85/1.37 { hAPP( c_Nat_Osize__class_Osize( tc_List_Olist( X ) ), c_List_Olist_ONil(
% 0.85/1.37 X ) ) = c_Groups_Ozero__class_Ozero( tc_Nat_Onat ) }.
% 0.85/1.37 { ! class_Orderings_Olinorder( X ), ! c_List_Odistinct( Z, Y ),
% 0.85/1.37 c_List_Odistinct( Z, c_List_Olinorder__class_Oinsort__insert__key( Z, X,
% 0.85/1.37 U, T, Y ) ) }.
% 0.85/1.37 { ! class_Orderings_Olinorder( X ), c_List_Olinorder__class_Osorted( X,
% 0.85/1.37 c_List_Olinorder__class_Osort__key( X, X, c_COMBI( X ), Y ) ) }.
% 0.85/1.37 { c_Nat_Onat_Onat__case( Z, Y, X, c_Groups_Ozero__class_Ozero( tc_Nat_Onat
% 0.85/1.37 ) ) = Y }.
% 0.85/1.37 { c_List_Ofoldr( U, T, Z, Y, X ) = hAPP( c_List_Ofoldl( T, U, c_COMBC( U, T
% 0.85/1.37 , T, Z ), X ), c_List_Orev( U, Y ) ) }.
% 0.85/1.37 { hAPP( c_List_Ofoldl( U, T, Z, Y ), X ) = c_List_Ofoldr( T, U, c_COMBC( U
% 0.85/1.37 , T, U, Z ), c_List_Orev( T, X ), Y ) }.
% 0.85/1.37 { ! hAPP( c_Nat_Osize__class_Osize( tc_List_Olist( T ) ), Z ) = hAPP(
% 0.85/1.37 c_Nat_Osize__class_Osize( tc_List_Olist( Y ) ), X ), ! hBOOL( hAPP( hAPP
% 0.85/1.37 ( U, c_List_Olist_ONil( T ) ), c_List_Olist_ONil( Y ) ) ), hAPP(
% 0.85/1.37 c_Nat_Osize__class_Osize( tc_List_Olist( T ) ), skol10( Y, T, U ) ) =
% 0.85/1.37 hAPP( c_Nat_Osize__class_Osize( tc_List_Olist( Y ) ), skol28( Y, T, U ) )
% 0.85/1.37 , hBOOL( hAPP( hAPP( U, Z ), X ) ) }.
% 0.85/1.37 { ! hAPP( c_Nat_Osize__class_Osize( tc_List_Olist( T ) ), Z ) = hAPP(
% 0.85/1.37 c_Nat_Osize__class_Osize( tc_List_Olist( Y ) ), X ), ! hBOOL( hAPP( hAPP
% 0.85/1.37 ( U, c_List_Olist_ONil( T ) ), c_List_Olist_ONil( Y ) ) ), hBOOL( hAPP(
% 0.85/1.37 hAPP( U, skol10( Y, T, U ) ), skol28( Y, T, U ) ) ), hBOOL( hAPP( hAPP( U
% 0.85/1.37 , Z ), X ) ) }.
% 0.85/1.37 { ! hAPP( c_Nat_Osize__class_Osize( tc_List_Olist( T ) ), Z ) = hAPP(
% 0.85/1.37 c_Nat_Osize__class_Osize( tc_List_Olist( Y ) ), X ), ! hBOOL( hAPP( hAPP
% 0.85/1.37 ( U, c_List_Olist_ONil( T ) ), c_List_Olist_ONil( Y ) ) ), ! hBOOL( hAPP
% 0.85/1.37 ( hAPP( U, hAPP( hAPP( c_List_Olist_OCons( T ), skol30( Y, T, U ) ),
% 0.85/1.37 skol10( Y, T, U ) ) ), hAPP( hAPP( c_List_Olist_OCons( Y ), skol31( Y, T
% 0.85/1.37 , U ) ), skol28( Y, T, U ) ) ) ), hBOOL( hAPP( hAPP( U, Z ), X ) ) }.
% 0.85/1.37 { ! c_List_Olist__all( Z, Y, X ), ! hBOOL( hAPP(
% 0.85/1.37 c_Orderings_Oord__class_Oless( tc_Nat_Onat, T ), hAPP(
% 0.85/1.37 c_Nat_Osize__class_Osize( tc_List_Olist( Z ) ), X ) ) ), hBOOL( hAPP( Y,
% 0.85/1.37 hAPP( c_List_Onth( Z, X ), T ) ) ) }.
% 0.85/1.37 { hBOOL( hAPP( c_Orderings_Oord__class_Oless( tc_Nat_Onat, skol11( X, T, Z
% 0.85/1.37 ) ), hAPP( c_Nat_Osize__class_Osize( tc_List_Olist( Z ) ), X ) ) ),
% 0.85/1.37 c_List_Olist__all( Z, Y, X ) }.
% 0.85/1.37 { ! hBOOL( hAPP( Y, hAPP( c_List_Onth( Z, X ), skol11( X, Y, Z ) ) ) ),
% 0.85/1.37 c_List_Olist__all( Z, Y, X ) }.
% 0.85/1.37 { c_List_OdropWhile( Z, Y, X ) = hAPP( hAPP( c_List_Odrop( Z ), hAPP(
% 0.85/1.37 c_Nat_Osize__class_Osize( tc_List_Olist( Z ) ), c_List_OtakeWhile( Z, Y,
% 0.85/1.37 X ) ) ), X ) }.
% 0.85/1.37 { ! hBOOL( hAPP( c_Orderings_Oord__class_Oless( tc_Nat_Onat, X ),
% 0.85/1.37 c_Groups_Ozero__class_Ozero( tc_Nat_Onat ) ) ) }.
% 0.85/1.37 { alpha23( X, Y, Z ), hBOOL( hAPP( c_Orderings_Oord__class_Oless(
% 0.85/1.37 tc_Nat_Onat, Y ), Z ) ), hBOOL( hAPP( hAPP( X, Y ), Z ) ) }.
% 0.85/1.37 { alpha23( X, Y, Z ), ! hBOOL( hAPP( hAPP( X, Y ), Z ) ), hBOOL( hAPP( hAPP
% 0.85/1.37 ( X, Y ), Z ) ) }.
% 0.85/1.37 { ! alpha23( X, Y, Z ), alpha25( X, Y, Z ), Z = Y }.
% 0.85/1.37 { ! alpha23( X, Y, Z ), alpha25( X, Y, Z ), ! hBOOL( hAPP( hAPP( X, Y ), Z
% 0.85/1.37 ) ) }.
% 0.85/1.37 { ! alpha25( X, Y, Z ), alpha23( X, Y, Z ) }.
% 0.85/1.37 { ! Z = Y, hBOOL( hAPP( hAPP( X, Y ), Z ) ), alpha23( X, Y, Z ) }.
% 0.85/1.37 { ! alpha25( X, Y, Z ), hBOOL( hAPP( c_Orderings_Oord__class_Oless(
% 0.85/1.37 tc_Nat_Onat, Z ), Y ) ) }.
% 0.85/1.37 { ! alpha25( X, Y, Z ), ! hBOOL( hAPP( hAPP( X, Y ), Z ) ) }.
% 0.85/1.37 { ! hBOOL( hAPP( c_Orderings_Oord__class_Oless( tc_Nat_Onat, Z ), Y ) ),
% 0.85/1.37 hBOOL( hAPP( hAPP( X, Y ), Z ) ), alpha25( X, Y, Z ) }.
% 0.85/1.37 { ! hBOOL( hAPP( c_Orderings_Oord__class_Oless( tc_Nat_Onat, Y ), X ) ), !
% 0.85/1.37 Y = X }.
% 0.85/1.37 { ! hBOOL( hAPP( c_Orderings_Oord__class_Oless( tc_Nat_Onat, Y ), X ) ), !
% 0.85/1.37 X = Y }.
% 0.85/1.37 { ! hBOOL( hAPP( c_Orderings_Oord__class_Oless( tc_Nat_Onat, X ), X ) ) }.
% 0.85/1.37 { Y = X, hBOOL( hAPP( c_Orderings_Oord__class_Oless( tc_Nat_Onat, Y ), X )
% 0.85/1.37 ), hBOOL( hAPP( c_Orderings_Oord__class_Oless( tc_Nat_Onat, X ), Y ) ) }
% 0.85/1.37 .
% 0.85/1.37 { Y = X, hBOOL( hAPP( c_Orderings_Oord__class_Oless( tc_Nat_Onat, Y ), X )
% 0.85/1.37 ), hBOOL( hAPP( c_Orderings_Oord__class_Oless( tc_Nat_Onat, X ), Y ) ) }
% 0.85/1.37 .
% 0.85/1.37 { ! hBOOL( hAPP( c_Orderings_Oord__class_Oless( tc_Nat_Onat, Y ), X ) ), !
% 0.85/1.37 Y = X }.
% 0.85/1.37 { ! hBOOL( hAPP( c_Orderings_Oord__class_Oless( tc_Nat_Onat, X ), Y ) ), !
% 0.85/1.37 Y = X }.
% 0.85/1.37 { ! hBOOL( hAPP( c_Orderings_Oord__class_Oless( tc_Nat_Onat, X ), X ) ) }.
% 0.85/1.37 { X = c_Groups_Ozero__class_Ozero( tc_Nat_Onat ), hBOOL( hAPP(
% 0.85/1.37 c_Orderings_Oord__class_Oless( tc_Nat_Onat, c_Groups_Ozero__class_Ozero(
% 0.85/1.37 tc_Nat_Onat ) ), X ) ) }.
% 0.85/1.37 { ! hBOOL( hAPP( c_Orderings_Oord__class_Oless( tc_Nat_Onat, Y ), X ) ), !
% 0.85/1.37 X = c_Groups_Ozero__class_Ozero( tc_Nat_Onat ) }.
% 0.85/1.37 { ! hBOOL( hAPP( c_Orderings_Oord__class_Oless( tc_Nat_Onat, X ),
% 0.85/1.37 c_Groups_Ozero__class_Ozero( tc_Nat_Onat ) ) ) }.
% 0.85/1.37 { X = c_Groups_Ozero__class_Ozero( tc_Nat_Onat ), hBOOL( hAPP(
% 0.85/1.37 c_Orderings_Oord__class_Oless( tc_Nat_Onat, c_Groups_Ozero__class_Ozero(
% 0.85/1.37 tc_Nat_Onat ) ), X ) ) }.
% 0.85/1.37 { ! hBOOL( hAPP( c_Orderings_Oord__class_Oless( tc_Nat_Onat,
% 0.85/1.37 c_Groups_Ozero__class_Ozero( tc_Nat_Onat ) ), X ) ), ! X =
% 0.85/1.37 c_Groups_Ozero__class_Ozero( tc_Nat_Onat ) }.
% 0.85/1.37 { ! hBOOL( hAPP( c_Orderings_Oord__class_Oless( tc_Nat_Onat, X ),
% 0.85/1.37 c_Groups_Ozero__class_Ozero( tc_Nat_Onat ) ) ) }.
% 0.85/1.37 { ! hBOOL( hAPP( c_Orderings_Oord__class_Oless( tc_Nat_Onat, Z ), hAPP(
% 0.85/1.37 c_Nat_Osize__class_Osize( tc_List_Olist( Y ) ), X ) ) ), c_List_Olast( Y
% 0.85/1.37 , hAPP( hAPP( c_List_Odrop( Y ), Z ), X ) ) = c_List_Olast( Y, X ) }.
% 0.85/1.37 { hAPP( hAPP( c_List_Odrop( Y ), c_Groups_Ozero__class_Ozero( tc_Nat_Onat )
% 0.85/1.37 ), X ) = X }.
% 0.85/1.37 { hAPP( hAPP( c_List_Odrop( Y ), X ), c_List_Olist_ONil( Y ) ) =
% 0.85/1.37 c_List_Olist_ONil( Y ) }.
% 0.85/1.37 { ! c_List_Odistinct( Y, X ), c_List_Odistinct( Y, hAPP( hAPP( c_List_Odrop
% 0.85/1.37 ( Y ), Z ), X ) ) }.
% 0.85/1.37 { ! class_Orderings_Olinorder( X ), ! c_List_Olinorder__class_Osorted( X, Y
% 0.85/1.37 ), c_List_Olinorder__class_Osorted( X, hAPP( hAPP( c_List_Odrop( X ), Z
% 0.85/1.37 ), Y ) ) }.
% 0.85/1.37 { hAPP( hAPP( c_List_Odrop( Z ), Y ), c_List_Obutlast( Z, X ) ) =
% 0.85/1.37 c_List_Obutlast( Z, hAPP( hAPP( c_List_Odrop( Z ), Y ), X ) ) }.
% 0.85/1.37 { c_List_Obutlast( Z, hAPP( hAPP( c_List_Odrop( Z ), Y ), X ) ) = hAPP(
% 0.85/1.37 hAPP( c_List_Odrop( Z ), Y ), c_List_Obutlast( Z, X ) ) }.
% 0.85/1.37 { c_List_Otl( Z, hAPP( hAPP( c_List_Odrop( Z ), Y ), X ) ) = hAPP( hAPP(
% 0.85/1.37 c_List_Odrop( Z ), Y ), c_List_Otl( Z, X ) ) }.
% 0.85/1.37 { hAPP( hAPP( c_List_Odrop( Z ), Y ), c_List_Otl( Z, X ) ) = c_List_Otl( Z
% 0.85/1.37 , hAPP( hAPP( c_List_Odrop( Z ), Y ), X ) ) }.
% 0.85/1.37 { hAPP( hAPP( c_List_Odrop( T ), Z ), hAPP( hAPP( c_List_Olist_OCons( T ),
% 0.85/1.37 Y ), X ) ) = c_Nat_Onat_Onat__case( tc_List_Olist( T ), hAPP( hAPP(
% 0.85/1.37 c_List_Olist_OCons( T ), Y ), X ), hAPP( c_COMBC( tc_Nat_Onat,
% 0.85/1.37 tc_List_Olist( T ), tc_List_Olist( T ), c_List_Odrop( T ) ), X ), Z ) }.
% 0.85/1.37 { c_List_Ofoldr( W, U, T, hAPP( hAPP( c_List_Olist_OCons( W ), Z ), Y ), X
% 0.85/1.37 ) = hAPP( hAPP( T, Z ), c_List_Ofoldr( W, U, T, Y, X ) ) }.
% 0.85/1.37 { c_List_Ofoldr( T, Z, Y, c_List_Olist_ONil( T ), X ) = X }.
% 0.85/1.37 { c_List_Ofoldr( W, U, T, hAPP( hAPP( c_List_Oappend( W ), Z ), Y ), X ) =
% 0.85/1.37 c_List_Ofoldr( W, U, T, Z, c_List_Ofoldr( W, U, T, Y, X ) ) }.
% 0.85/1.37 { Y = c_List_Olist_ONil( X ), ! hBOOL( hAPP( c_Orderings_Oord__class_Oless
% 0.85/1.37 ( tc_Nat_Onat, Z ), hAPP( c_Nat_Osize__class_Osize( tc_List_Olist( X ) )
% 0.85/1.37 , Y ) ) ), c_List_Ohd( X, hAPP( hAPP( c_List_Odrop( X ), Z ), Y ) ) =
% 0.85/1.37 hAPP( c_List_Onth( X, Y ), Z ) }.
% 0.85/1.37 { ! hAPP( hAPP( c_List_Odrop( T ), Z ), Y ) = hAPP( hAPP(
% 0.85/1.37 c_List_Olist_OCons( T ), X ), U ), hAPP( c_List_Onth( T, Y ), Z ) = X }.
% 0.85/1.37 { ! Z = Y, hAPP( c_Nat_Osize__class_Osize( tc_List_Olist( X ) ), Z ) = hAPP
% 0.85/1.37 ( c_Nat_Osize__class_Osize( tc_List_Olist( X ) ), Y ) }.
% 0.85/1.37 { ! Z = Y, alpha7( X, Y, Z ) }.
% 0.85/1.37 { ! hAPP( c_Nat_Osize__class_Osize( tc_List_Olist( X ) ), Z ) = hAPP(
% 0.85/1.37 c_Nat_Osize__class_Osize( tc_List_Olist( X ) ), Y ), ! alpha7( X, Y, Z )
% 0.85/1.37 , Z = Y }.
% 0.85/1.37 { ! alpha7( X, Y, Z ), ! hBOOL( hAPP( c_Orderings_Oord__class_Oless(
% 0.85/1.37 tc_Nat_Onat, T ), hAPP( c_Nat_Osize__class_Osize( tc_List_Olist( X ) ), Z
% 0.85/1.37 ) ) ), hAPP( c_List_Onth( X, Z ), T ) = hAPP( c_List_Onth( X, Y ), T ) }
% 0.85/1.37 .
% 0.85/1.37 { hBOOL( hAPP( c_Orderings_Oord__class_Oless( tc_Nat_Onat, skol12( X, T, Z
% 0.85/1.37 ) ), hAPP( c_Nat_Osize__class_Osize( tc_List_Olist( X ) ), Z ) ) ),
% 0.85/1.37 alpha7( X, Y, Z ) }.
% 0.85/1.37 { ! hAPP( c_List_Onth( X, Z ), skol12( X, Y, Z ) ) = hAPP( c_List_Onth( X,
% 0.85/1.37 Y ), skol12( X, Y, Z ) ), alpha7( X, Y, Z ) }.
% 0.85/1.37 { ! hBOOL( hAPP( c_Orderings_Oord__class_Oless( tc_Nat_Onat, Y ), X ) ),
% 0.85/1.37 hAPP( c_List_Onth( T, c_List_Oreplicate( T, X, Z ) ), Y ) = Z }.
% 0.85/1.37 { ! hBOOL( hAPP( c_Orderings_Oord__class_Oless( tc_Nat_Onat,
% 0.85/1.37 c_Groups_Ozero__class_Ozero( tc_Nat_Onat ) ), hAPP(
% 0.85/1.37 c_Nat_Osize__class_Osize( tc_List_Olist( Y ) ), X ) ) ), ! X =
% 0.85/1.37 c_List_Olist_ONil( Y ) }.
% 0.85/1.37 { X = c_List_Olist_ONil( Y ), hBOOL( hAPP( c_Orderings_Oord__class_Oless(
% 0.85/1.37 tc_Nat_Onat, c_Groups_Ozero__class_Ozero( tc_Nat_Onat ) ), hAPP(
% 0.85/1.37 c_Nat_Osize__class_Osize( tc_List_Olist( Y ) ), X ) ) ) }.
% 0.85/1.37 { ! c_List_Odistinct( Y, X ), ! hBOOL( hAPP( c_Orderings_Oord__class_Oless
% 0.85/1.37 ( tc_Nat_Onat, Z ), hAPP( c_Nat_Osize__class_Osize( tc_List_Olist( Y ) )
% 0.85/1.37 , X ) ) ), alpha8( X, Y, Z ) }.
% 0.85/1.37 { hBOOL( hAPP( c_Orderings_Oord__class_Oless( tc_Nat_Onat, skol13( X, Y ) )
% 0.85/1.37 , hAPP( c_Nat_Osize__class_Osize( tc_List_Olist( Y ) ), X ) ) ),
% 0.85/1.37 c_List_Odistinct( Y, X ) }.
% 0.85/1.37 { ! alpha8( X, Y, skol13( X, Y ) ), c_List_Odistinct( Y, X ) }.
% 0.85/1.37 { ! alpha8( X, Y, Z ), ! hBOOL( hAPP( c_Orderings_Oord__class_Oless(
% 0.85/1.37 tc_Nat_Onat, T ), hAPP( c_Nat_Osize__class_Osize( tc_List_Olist( Y ) ), X
% 0.85/1.37 ) ) ), alpha18( X, Y, Z, T ) }.
% 0.85/1.37 { hBOOL( hAPP( c_Orderings_Oord__class_Oless( tc_Nat_Onat, skol14( X, Y, T
% 0.85/1.37 ) ), hAPP( c_Nat_Osize__class_Osize( tc_List_Olist( Y ) ), X ) ) ),
% 0.85/1.37 alpha8( X, Y, Z ) }.
% 0.85/1.37 { ! alpha18( X, Y, Z, skol14( X, Y, Z ) ), alpha8( X, Y, Z ) }.
% 0.85/1.37 { ! alpha18( X, Y, Z, T ), Z = T, ! hAPP( c_List_Onth( Y, X ), Z ) = hAPP(
% 0.85/1.37 c_List_Onth( Y, X ), T ) }.
% 0.85/1.37 { ! Z = T, alpha18( X, Y, Z, T ) }.
% 0.85/1.37 { hAPP( c_List_Onth( Y, X ), Z ) = hAPP( c_List_Onth( Y, X ), T ), alpha18
% 0.85/1.37 ( X, Y, Z, T ) }.
% 0.85/1.37 { ! c_List_Odistinct( Y, X ), ! hBOOL( hAPP( c_Orderings_Oord__class_Oless
% 0.85/1.37 ( tc_Nat_Onat, Z ), hAPP( c_Nat_Osize__class_Osize( tc_List_Olist( Y ) )
% 0.85/1.37 , X ) ) ), ! hBOOL( hAPP( c_Orderings_Oord__class_Oless( tc_Nat_Onat, T )
% 0.85/1.37 , hAPP( c_Nat_Osize__class_Osize( tc_List_Olist( Y ) ), X ) ) ), ! hAPP(
% 0.85/1.37 c_List_Onth( Y, X ), Z ) = hAPP( c_List_Onth( Y, X ), T ), Z = T }.
% 0.85/1.37 { ! c_List_Odistinct( Y, X ), ! hBOOL( hAPP( c_Orderings_Oord__class_Oless
% 0.85/1.37 ( tc_Nat_Onat, Z ), hAPP( c_Nat_Osize__class_Osize( tc_List_Olist( Y ) )
% 0.85/1.37 , X ) ) ), ! hBOOL( hAPP( c_Orderings_Oord__class_Oless( tc_Nat_Onat, T )
% 0.85/1.37 , hAPP( c_Nat_Osize__class_Osize( tc_List_Olist( Y ) ), X ) ) ), ! Z = T
% 0.85/1.37 , hAPP( c_List_Onth( Y, X ), Z ) = hAPP( c_List_Onth( Y, X ), T ) }.
% 0.85/1.37 { ! hBOOL( hAPP( c_Orderings_Oord__class_Oless( tc_Nat_Onat, hAPP(
% 0.85/1.37 c_Nat_Osize__class_Osize( tc_List_Olist( Z ) ), c_List_OtakeWhile( Z, Y,
% 0.85/1.37 X ) ) ), hAPP( c_Nat_Osize__class_Osize( tc_List_Olist( Z ) ), X ) ) ), !
% 0.85/1.37 hBOOL( hAPP( Y, hAPP( c_List_Onth( Z, X ), hAPP(
% 0.85/1.37 c_Nat_Osize__class_Osize( tc_List_Olist( Z ) ), c_List_OtakeWhile( Z, Y,
% 0.85/1.37 X ) ) ) ) ) }.
% 0.85/1.37 { ! hBOOL( hAPP( c_Orderings_Oord__class_Oless( tc_Nat_Onat, T ), hAPP(
% 0.85/1.37 c_Nat_Osize__class_Osize( tc_List_Olist( Z ) ), c_List_OtakeWhile( Z, Y,
% 0.85/1.37 X ) ) ) ), hAPP( c_List_Onth( Z, c_List_OtakeWhile( Z, Y, X ) ), T ) =
% 0.85/1.37 hAPP( c_List_Onth( Z, X ), T ) }.
% 0.85/1.37 { ! class_Orderings_Olinorder( X ), ! c_List_Olinorder__class_Osorted( X,
% 0.85/1.37 c_List_Orev( X, Y ) ), ! Y = c_List_Olist_ONil( X ), c_List_Ofoldr( X, X
% 0.85/1.37 , c_Orderings_Oord__class_Omax( X ), Y, Z ) = Z }.
% 0.85/1.37 { ! class_Orderings_Olinorder( X ), ! c_List_Olinorder__class_Osorted( X,
% 0.85/1.37 c_List_Orev( X, Y ) ), Y = c_List_Olist_ONil( X ), c_List_Ofoldr( X, X,
% 0.85/1.37 c_Orderings_Oord__class_Omax( X ), Y, Z ) = hAPP( hAPP(
% 0.85/1.37 c_Orderings_Oord__class_Omax( X ), hAPP( c_List_Onth( X, Y ),
% 0.85/1.37 c_Groups_Ozero__class_Ozero( tc_Nat_Onat ) ) ), Z ) }.
% 0.85/1.37 { ! hBOOL( hAPP( c_Orderings_Oord__class_Oless( tc_Nat_Onat, T ), hAPP(
% 0.85/1.37 c_Nat_Osize__class_Osize( tc_List_Olist( Z ) ), c_List_OdropWhile( Z, Y,
% 0.85/1.37 X ) ) ) ), hAPP( c_List_Onth( Z, c_List_OdropWhile( Z, Y, X ) ), T ) =
% 0.85/1.37 hAPP( c_List_Onth( Z, X ), hAPP( hAPP( c_Groups_Oplus__class_Oplus(
% 0.85/1.37 tc_Nat_Onat ), T ), hAPP( c_Nat_Osize__class_Osize( tc_List_Olist( Z ) )
% 0.85/1.37 , c_List_OtakeWhile( Z, Y, X ) ) ) ) }.
% 0.85/1.37 { ! hBOOL( hAPP( c_Orderings_Oord__class_Oless( tc_Nat_Onat, Z ), hAPP(
% 0.85/1.37 c_Nat_Osize__class_Osize( tc_List_Olist( Y ) ), X ) ) ), hAPP( hAPP(
% 0.85/1.37 c_List_Olist_OCons( Y ), hAPP( c_List_Onth( Y, X ), Z ) ), hAPP( hAPP(
% 0.85/1.37 c_List_Odrop( Y ), hAPP( c_Nat_OSuc, Z ) ), X ) ) = hAPP( hAPP(
% 0.85/1.37 c_List_Odrop( Y ), Z ), X ) }.
% 0.85/1.37 { ! c_List_Olist__ex( Z, Y, X ), hBOOL( hAPP( c_Orderings_Oord__class_Oless
% 0.85/1.37 ( tc_Nat_Onat, skol15( X, T, Z ) ), hAPP( c_Nat_Osize__class_Osize(
% 0.85/1.37 tc_List_Olist( Z ) ), X ) ) ) }.
% 0.85/1.37 { ! c_List_Olist__ex( Z, Y, X ), hBOOL( hAPP( Y, hAPP( c_List_Onth( Z, X )
% 0.85/1.37 , skol15( X, Y, Z ) ) ) ) }.
% 0.85/1.37 { ! hBOOL( hAPP( c_Orderings_Oord__class_Oless( tc_Nat_Onat, T ), hAPP(
% 0.85/1.37 c_Nat_Osize__class_Osize( tc_List_Olist( Z ) ), X ) ) ), ! hBOOL( hAPP( Y
% 0.85/1.37 , hAPP( c_List_Onth( Z, X ), T ) ) ), c_List_Olist__ex( Z, Y, X ) }.
% 0.85/1.37 { ! class_Rings_Olinordered__semidom( X ), ! hBOOL( hAPP(
% 0.85/1.37 c_Orderings_Oord__class_Oless( X, c_Groups_Ozero__class_Ozero( X ) ),
% 0.85/1.37 c_Nat_Osemiring__1__class_Oof__nat( X, Y ) ) ), hBOOL( hAPP(
% 0.85/1.37 c_Orderings_Oord__class_Oless( tc_Nat_Onat, c_Groups_Ozero__class_Ozero(
% 0.85/1.37 tc_Nat_Onat ) ), Y ) ) }.
% 0.85/1.37 { ! class_Rings_Olinordered__semidom( X ), ! hBOOL( hAPP(
% 0.85/1.37 c_Orderings_Oord__class_Oless( tc_Nat_Onat, c_Groups_Ozero__class_Ozero(
% 0.85/1.37 tc_Nat_Onat ) ), Y ) ), hBOOL( hAPP( c_Orderings_Oord__class_Oless( X,
% 0.85/1.37 c_Groups_Ozero__class_Ozero( X ) ), c_Nat_Osemiring__1__class_Oof__nat( X
% 0.85/1.37 , Y ) ) ) }.
% 0.85/1.37 { ! hBOOL( hAPP( c_Orderings_Oord__class_Oless( tc_Nat_Onat, T ), hAPP(
% 0.85/1.37 c_Nat_Osize__class_Osize( tc_List_Olist( Z ) ), Y ) ) ), hAPP(
% 0.85/1.37 c_List_Onth( Z, hAPP( hAPP( c_List_Oappend( Z ), Y ), X ) ), T ) = hAPP(
% 0.85/1.37 c_List_Onth( Z, Y ), T ) }.
% 0.85/1.37 { hBOOL( hAPP( c_Orderings_Oord__class_Oless( tc_Nat_Onat, T ), hAPP(
% 0.85/1.37 c_Nat_Osize__class_Osize( tc_List_Olist( Z ) ), Y ) ) ), hAPP(
% 0.85/1.37 c_List_Onth( Z, hAPP( hAPP( c_List_Oappend( Z ), Y ), X ) ), T ) = hAPP(
% 0.85/1.37 c_List_Onth( Z, X ), hAPP( hAPP( c_Groups_Ominus__class_Ominus(
% 0.85/1.37 tc_Nat_Onat ), T ), hAPP( c_Nat_Osize__class_Osize( tc_List_Olist( Z ) )
% 0.85/1.37 , Y ) ) ) }.
% 0.85/1.37 { hBOOL( hAPP( c_Orderings_Oord__class_Oless( tc_Nat_Onat, X ), hAPP(
% 0.85/1.37 c_Nat_OSuc, X ) ) ) }.
% 0.85/1.37 { ! hBOOL( hAPP( c_Orderings_Oord__class_Oless( tc_Nat_Onat, Y ), X ) ),
% 0.85/1.37 hBOOL( hAPP( c_Orderings_Oord__class_Oless( tc_Nat_Onat, hAPP( c_Nat_OSuc
% 0.85/1.37 , Y ) ), hAPP( c_Nat_OSuc, X ) ) ) }.
% 0.85/1.37 { hBOOL( hAPP( c_Orderings_Oord__class_Oless( tc_Nat_Onat,
% 0.85/1.37 c_Groups_Ozero__class_Ozero( tc_Nat_Onat ) ), hAPP( c_Nat_OSuc, X ) ) ) }
% 0.85/1.37 .
% 0.85/1.37 { hAPP( hAPP( c_Groups_Ominus__class_Ominus( tc_Nat_Onat ), Y ), hAPP(
% 0.85/1.37 c_Nat_OSuc, X ) ) = c_Nat_Onat_Onat__case( tc_Nat_Onat,
% 0.85/1.37 c_Groups_Ozero__class_Ozero( tc_Nat_Onat ), c_COMBI( tc_Nat_Onat ), hAPP
% 0.85/1.37 ( hAPP( c_Groups_Ominus__class_Ominus( tc_Nat_Onat ), Y ), X ) ) }.
% 0.85/1.37 { hAPP( hAPP( c_Orderings_Oord__class_Omax( tc_Nat_Onat ), hAPP( c_Nat_OSuc
% 0.85/1.37 , Y ) ), X ) = c_Nat_Onat_Onat__case( tc_Nat_Onat, hAPP( c_Nat_OSuc, Y )
% 0.85/1.37 , c_COMBB( tc_Nat_Onat, tc_Nat_Onat, tc_Nat_Onat, c_Nat_OSuc, hAPP(
% 0.85/1.37 c_Orderings_Oord__class_Omax( tc_Nat_Onat ), Y ) ), X ) }.
% 0.85/1.37 { hAPP( hAPP( c_Orderings_Oord__class_Omax( tc_Nat_Onat ), Y ), hAPP(
% 0.85/1.37 c_Nat_OSuc, X ) ) = c_Nat_Onat_Onat__case( tc_Nat_Onat, hAPP( c_Nat_OSuc
% 0.85/1.37 , X ), c_COMBB( tc_Nat_Onat, tc_Nat_Onat, tc_Nat_Onat, c_Nat_OSuc, hAPP(
% 0.85/1.37 c_COMBC( tc_Nat_Onat, tc_Nat_Onat, tc_Nat_Onat,
% 0.85/1.37 c_Orderings_Oord__class_Omax( tc_Nat_Onat ) ), X ) ), Y ) }.
% 0.85/1.37 { ! hAPP( c_Nat_OSuc, Y ) = hAPP( c_Nat_OSuc, X ), Y = X }.
% 0.85/1.37 { hBOOL( hAPP( c_Orderings_Oord__class_Oless( tc_Nat_Onat, Y ), X ) ), hAPP
% 0.85/1.37 ( hAPP( c_Groups_Oplus__class_Oplus( tc_Nat_Onat ), X ), hAPP( hAPP(
% 0.85/1.37 c_Groups_Ominus__class_Ominus( tc_Nat_Onat ), Y ), X ) ) = Y }.
% 0.85/1.37 { hAPP( hAPP( c_Groups_Ominus__class_Ominus( tc_Nat_Onat ), hAPP( hAPP(
% 0.85/1.37 c_Groups_Ominus__class_Ominus( tc_Nat_Onat ), hAPP( c_Nat_OSuc, Z ) ), Y
% 0.85/1.37 ) ), hAPP( c_Nat_OSuc, X ) ) = hAPP( hAPP( c_Groups_Ominus__class_Ominus
% 0.85/1.37 ( tc_Nat_Onat ), hAPP( hAPP( c_Groups_Ominus__class_Ominus( tc_Nat_Onat )
% 0.85/1.37 , Z ), Y ) ), X ) }.
% 0.85/1.37 { hAPP( hAPP( c_Groups_Ominus__class_Ominus( tc_Nat_Onat ), hAPP( hAPP(
% 0.85/1.37 c_Groups_Oplus__class_Oplus( tc_Nat_Onat ), Z ), Y ) ), hAPP( hAPP(
% 0.85/1.37 c_Groups_Oplus__class_Oplus( tc_Nat_Onat ), X ), Y ) ) = hAPP( hAPP(
% 0.85/1.37 c_Groups_Ominus__class_Ominus( tc_Nat_Onat ), Z ), X ) }.
% 0.85/1.37 { hAPP( hAPP( c_Groups_Ominus__class_Ominus( tc_Nat_Onat ), hAPP( hAPP(
% 0.85/1.37 c_Groups_Oplus__class_Oplus( tc_Nat_Onat ), Z ), Y ) ), hAPP( hAPP(
% 0.85/1.37 c_Groups_Oplus__class_Oplus( tc_Nat_Onat ), Z ), X ) ) = hAPP( hAPP(
% 0.85/1.37 c_Groups_Ominus__class_Ominus( tc_Nat_Onat ), Y ), X ) }.
% 0.85/1.37 { ! hAPP( hAPP( c_Groups_Oplus__class_Oplus( tc_Nat_Onat ), Z ), Y ) = hAPP
% 0.85/1.37 ( hAPP( c_Groups_Oplus__class_Oplus( tc_Nat_Onat ), X ), Y ), Z = X }.
% 0.85/1.37 { ! Z = X, hAPP( hAPP( c_Groups_Oplus__class_Oplus( tc_Nat_Onat ), Z ), Y )
% 0.85/1.37 = hAPP( hAPP( c_Groups_Oplus__class_Oplus( tc_Nat_Onat ), X ), Y ) }.
% 0.85/1.37 { ! hAPP( hAPP( c_Groups_Oplus__class_Oplus( tc_Nat_Onat ), Z ), Y ) = hAPP
% 0.85/1.37 ( hAPP( c_Groups_Oplus__class_Oplus( tc_Nat_Onat ), Z ), X ), Y = X }.
% 0.85/1.37 { ! Y = X, hAPP( hAPP( c_Groups_Oplus__class_Oplus( tc_Nat_Onat ), Z ), Y )
% 0.85/1.37 = hAPP( hAPP( c_Groups_Oplus__class_Oplus( tc_Nat_Onat ), Z ), X ) }.
% 0.85/1.37 { hAPP( hAPP( c_Groups_Ominus__class_Ominus( tc_Nat_Onat ), hAPP( hAPP(
% 0.85/1.37 c_Groups_Ominus__class_Ominus( tc_Nat_Onat ), Z ), Y ) ), X ) = hAPP(
% 0.85/1.37 hAPP( c_Groups_Ominus__class_Ominus( tc_Nat_Onat ), hAPP( hAPP(
% 0.85/1.37 c_Groups_Ominus__class_Ominus( tc_Nat_Onat ), Z ), X ) ), Y ) }.
% 0.85/1.37 { hAPP( hAPP( c_Groups_Ominus__class_Ominus( tc_Nat_Onat ), hAPP( hAPP(
% 0.85/1.37 c_Groups_Ominus__class_Ominus( tc_Nat_Onat ), Z ), Y ) ), X ) = hAPP(
% 0.85/1.37 hAPP( c_Groups_Ominus__class_Ominus( tc_Nat_Onat ), Z ), hAPP( hAPP(
% 0.85/1.37 c_Groups_Oplus__class_Oplus( tc_Nat_Onat ), Y ), X ) ) }.
% 0.85/1.37 { hAPP( hAPP( c_Groups_Oplus__class_Oplus( tc_Nat_Onat ), hAPP( hAPP(
% 0.85/1.37 c_Groups_Oplus__class_Oplus( tc_Nat_Onat ), Z ), Y ) ), X ) = hAPP( hAPP
% 0.85/1.37 ( c_Groups_Oplus__class_Oplus( tc_Nat_Onat ), Z ), hAPP( hAPP(
% 0.85/1.37 c_Groups_Oplus__class_Oplus( tc_Nat_Onat ), Y ), X ) ) }.
% 0.85/1.37 { hAPP( hAPP( c_Groups_Oplus__class_Oplus( tc_Nat_Onat ), hAPP( hAPP(
% 0.85/1.37 c_Groups_Ominus__class_Ominus( tc_Nat_Onat ), Y ), X ) ), X ) = hAPP(
% 0.85/1.37 hAPP( c_Orderings_Oord__class_Omax( tc_Nat_Onat ), Y ), X ) }.
% 0.85/1.37 { hAPP( hAPP( c_Groups_Ominus__class_Ominus( tc_Nat_Onat ), hAPP( hAPP(
% 0.85/1.37 c_Groups_Oplus__class_Oplus( tc_Nat_Onat ), Y ), X ) ), Y ) = X }.
% 0.85/1.37 { hAPP( hAPP( c_Groups_Ominus__class_Ominus( tc_Nat_Onat ), hAPP( hAPP(
% 0.85/1.37 c_Groups_Oplus__class_Oplus( tc_Nat_Onat ), Y ), X ) ), X ) = Y }.
% 0.85/1.37 { hAPP( hAPP( c_Groups_Ominus__class_Ominus( tc_Nat_Onat ), hAPP(
% 0.85/1.37 c_Nat_OSuc, Y ) ), hAPP( c_Nat_OSuc, X ) ) = hAPP( hAPP(
% 0.85/1.37 c_Groups_Ominus__class_Ominus( tc_Nat_Onat ), Y ), X ) }.
% 0.85/1.37 { ! class_Nat_Osemiring__char__0( X ), ! c_Nat_Osemiring__1__class_Oof__nat
% 0.85/1.37 ( X, Z ) = c_Nat_Osemiring__1__class_Oof__nat( X, Y ), Z = Y }.
% 0.85/1.37 { ! class_Nat_Osemiring__char__0( X ), ! Z = Y,
% 0.85/1.37 c_Nat_Osemiring__1__class_Oof__nat( X, Z ) =
% 0.85/1.37 c_Nat_Osemiring__1__class_Oof__nat( X, Y ) }.
% 0.85/1.37 { ! hAPP( c_Nat_OSuc, Y ) = hAPP( c_Nat_OSuc, X ), Y = X }.
% 0.85/1.37 { ! Y = X, hAPP( c_Nat_OSuc, Y ) = hAPP( c_Nat_OSuc, X ) }.
% 0.85/1.37 { hAPP( hAPP( c_Orderings_Oord__class_Omax( tc_Nat_Onat ), hAPP( c_Nat_OSuc
% 0.85/1.37 , Y ) ), hAPP( c_Nat_OSuc, X ) ) = hAPP( c_Nat_OSuc, hAPP( hAPP(
% 0.85/1.37 c_Orderings_Oord__class_Omax( tc_Nat_Onat ), Y ), X ) ) }.
% 0.85/1.37 { hAPP( hAPP( c_Groups_Oplus__class_Oplus( tc_Nat_Onat ), hAPP( c_Nat_OSuc
% 0.85/1.37 , Y ) ), X ) = hAPP( hAPP( c_Groups_Oplus__class_Oplus( tc_Nat_Onat ), Y
% 0.85/1.37 ), hAPP( c_Nat_OSuc, X ) ) }.
% 0.85/1.37 { hAPP( hAPP( c_Groups_Oplus__class_Oplus( tc_Nat_Onat ), hAPP( c_Nat_OSuc
% 0.85/1.37 , Y ) ), X ) = hAPP( c_Nat_OSuc, hAPP( hAPP( c_Groups_Oplus__class_Oplus
% 0.85/1.37 ( tc_Nat_Onat ), Y ), X ) ) }.
% 0.85/1.37 { ! hBOOL( hAPP( c_Orderings_Oord__class_Oless( tc_Nat_Onat, Z ), hAPP(
% 0.85/1.37 hAPP( c_Groups_Ominus__class_Ominus( tc_Nat_Onat ), Y ), X ) ) ), hBOOL(
% 0.85/1.37 hAPP( c_Orderings_Oord__class_Oless( tc_Nat_Onat, hAPP( hAPP(
% 0.85/1.37 c_Groups_Oplus__class_Oplus( tc_Nat_Onat ), Z ), X ) ), Y ) ) }.
% 0.85/1.37 { ! hBOOL( hAPP( c_Orderings_Oord__class_Oless( tc_Nat_Onat, hAPP( hAPP(
% 0.85/1.37 c_Groups_Oplus__class_Oplus( tc_Nat_Onat ), Z ), X ) ), Y ) ), hBOOL(
% 0.85/1.37 hAPP( c_Orderings_Oord__class_Oless( tc_Nat_Onat, Z ), hAPP( hAPP(
% 0.85/1.37 c_Groups_Ominus__class_Ominus( tc_Nat_Onat ), Y ), X ) ) ) }.
% 0.85/1.37 { hAPP( hAPP( c_Groups_Oplus__class_Oplus( tc_Nat_Onat ), Z ), hAPP( hAPP(
% 0.85/1.37 c_Groups_Oplus__class_Oplus( tc_Nat_Onat ), Y ), X ) ) = hAPP( hAPP(
% 0.85/1.37 c_Groups_Oplus__class_Oplus( tc_Nat_Onat ), Y ), hAPP( hAPP(
% 0.85/1.37 c_Groups_Oplus__class_Oplus( tc_Nat_Onat ), Z ), X ) ) }.
% 0.85/1.37 { hAPP( hAPP( c_Groups_Oplus__class_Oplus( tc_Nat_Onat ), Y ), hAPP(
% 0.85/1.37 c_Nat_OSuc, X ) ) = hAPP( c_Nat_OSuc, hAPP( hAPP(
% 0.85/1.37 c_Groups_Oplus__class_Oplus( tc_Nat_Onat ), Y ), X ) ) }.
% 0.85/1.37 { hAPP( hAPP( c_Groups_Oplus__class_Oplus( tc_Nat_Onat ), Y ), X ) = hAPP(
% 0.85/1.37 hAPP( c_Groups_Oplus__class_Oplus( tc_Nat_Onat ), X ), Y ) }.
% 0.85/1.37 { ! hBOOL( hAPP( c_Orderings_Oord__class_Oless( tc_Nat_Onat, Y ), X ) ), X
% 0.85/1.37 = hAPP( c_Nat_OSuc, hAPP( hAPP( c_Groups_Oplus__class_Oplus( tc_Nat_Onat
% 0.85/1.37 ), Y ), skol16( X, Y ) ) ) }.
% 0.85/1.37 { ! X = hAPP( c_Nat_OSuc, hAPP( hAPP( c_Groups_Oplus__class_Oplus(
% 0.85/1.37 tc_Nat_Onat ), Y ), Z ) ), hBOOL( hAPP( c_Orderings_Oord__class_Oless(
% 0.85/1.37 tc_Nat_Onat, Y ), X ) ) }.
% 0.85/1.37 { hBOOL( hAPP( c_Orderings_Oord__class_Oless( tc_Nat_Onat, hAPP( hAPP(
% 0.85/1.37 c_Groups_Ominus__class_Ominus( tc_Nat_Onat ), Y ), X ) ), hAPP(
% 0.85/1.37 c_Nat_OSuc, Y ) ) ) }.
% 0.85/1.37 { ! class_Rings_Osemiring__1( X ), c_Nat_Osemiring__1__class_Oof__nat( X,
% 0.85/1.37 hAPP( hAPP( c_Groups_Oplus__class_Oplus( tc_Nat_Onat ), Z ), Y ) ) = hAPP
% 0.85/1.37 ( hAPP( c_Groups_Oplus__class_Oplus( X ),
% 0.85/1.37 c_Nat_Osemiring__1__class_Oof__nat( X, Z ) ),
% 0.85/1.37 c_Nat_Osemiring__1__class_Oof__nat( X, Y ) ) }.
% 0.85/1.37 { hBOOL( hAPP( c_Orderings_Oord__class_Oless( tc_Nat_Onat, Y ), hAPP(
% 0.85/1.37 c_Nat_OSuc, hAPP( hAPP( c_Groups_Oplus__class_Oplus( tc_Nat_Onat ), X ),
% 0.85/1.37 Y ) ) ) ) }.
% 0.85/1.37 { hBOOL( hAPP( c_Orderings_Oord__class_Oless( tc_Nat_Onat, Y ), hAPP(
% 0.85/1.37 c_Nat_OSuc, hAPP( hAPP( c_Groups_Oplus__class_Oplus( tc_Nat_Onat ), Y ),
% 0.85/1.37 X ) ) ) ) }.
% 0.85/1.37 { ! hAPP( c_Nat_OSuc, X ) = X }.
% 0.85/1.37 { ! X = hAPP( c_Nat_OSuc, X ) }.
% 0.85/1.37 { ! class_Groups_Oordered__ab__group__add( X ), ! hAPP( hAPP(
% 0.85/1.37 c_Groups_Ominus__class_Ominus( X ), U ), T ) = hAPP( hAPP(
% 0.85/1.37 c_Groups_Ominus__class_Ominus( X ), Z ), Y ), ! hBOOL( hAPP(
% 0.85/1.37 c_Orderings_Oord__class_Oless( X, U ), T ) ), hBOOL( hAPP(
% 0.85/1.37 c_Orderings_Oord__class_Oless( X, Z ), Y ) ) }.
% 0.85/1.37 { ! class_Groups_Oordered__ab__group__add( X ), ! hAPP( hAPP(
% 0.85/1.37 c_Groups_Ominus__class_Ominus( X ), U ), T ) = hAPP( hAPP(
% 0.85/1.37 c_Groups_Ominus__class_Ominus( X ), Z ), Y ), ! hBOOL( hAPP(
% 0.85/1.37 c_Orderings_Oord__class_Oless( X, Z ), Y ) ), hBOOL( hAPP(
% 0.85/1.37 c_Orderings_Oord__class_Oless( X, U ), T ) ) }.
% 0.85/1.37 { ! hBOOL( hAPP( c_Orderings_Oord__class_Oless( tc_Nat_Onat,
% 0.85/1.37 c_Groups_Ozero__class_Ozero( tc_Nat_Onat ) ), X ) ), hBOOL( hAPP(
% 0.85/1.37 c_Orderings_Oord__class_Oless( tc_Nat_Onat, hAPP( hAPP(
% 0.85/1.37 c_Groups_Ominus__class_Ominus( tc_Nat_Onat ), X ), hAPP( c_Nat_OSuc, Y )
% 0.85/1.37 ) ), X ) ) }.
% 0.85/1.37 { ! hBOOL( hAPP( c_Orderings_Oord__class_Oless( tc_Nat_Onat,
% 0.85/1.37 c_Groups_Ozero__class_Ozero( tc_Nat_Onat ) ), X ) ), hAPP( c_Nat_OSuc,
% 0.85/1.37 hAPP( hAPP( c_Groups_Ominus__class_Ominus( tc_Nat_Onat ), X ), hAPP(
% 0.85/1.37 c_Nat_OSuc, c_Groups_Ozero__class_Ozero( tc_Nat_Onat ) ) ) ) = X }.
% 0.85/1.37 { ! hAPP( hAPP( c_Groups_Oplus__class_Oplus( tc_Nat_Onat ), Y ), X ) = hAPP
% 0.85/1.37 ( c_Nat_OSuc, c_Groups_Ozero__class_Ozero( tc_Nat_Onat ) ), alpha9( X, Y
% 0.85/1.37 ), alpha19( X, Y ) }.
% 0.85/1.37 { ! alpha9( X, Y ), hAPP( hAPP( c_Groups_Oplus__class_Oplus( tc_Nat_Onat )
% 0.85/1.37 , Y ), X ) = hAPP( c_Nat_OSuc, c_Groups_Ozero__class_Ozero( tc_Nat_Onat )
% 0.85/1.37 ) }.
% 0.85/1.37 { ! alpha19( X, Y ), hAPP( hAPP( c_Groups_Oplus__class_Oplus( tc_Nat_Onat )
% 0.85/1.37 , Y ), X ) = hAPP( c_Nat_OSuc, c_Groups_Ozero__class_Ozero( tc_Nat_Onat )
% 0.85/1.37 ) }.
% 0.85/1.37 { ! alpha19( X, Y ), Y = c_Groups_Ozero__class_Ozero( tc_Nat_Onat ) }.
% 0.85/1.37 { ! alpha19( X, Y ), X = hAPP( c_Nat_OSuc, c_Groups_Ozero__class_Ozero(
% 0.85/1.37 tc_Nat_Onat ) ) }.
% 0.85/1.37 { ! Y = c_Groups_Ozero__class_Ozero( tc_Nat_Onat ), ! X = hAPP( c_Nat_OSuc
% 0.85/1.37 , c_Groups_Ozero__class_Ozero( tc_Nat_Onat ) ), alpha19( X, Y ) }.
% 0.85/1.37 { ! alpha9( X, Y ), Y = hAPP( c_Nat_OSuc, c_Groups_Ozero__class_Ozero(
% 0.85/1.37 tc_Nat_Onat ) ) }.
% 0.85/1.37 { ! alpha9( X, Y ), X = c_Groups_Ozero__class_Ozero( tc_Nat_Onat ) }.
% 0.85/1.37 { ! Y = hAPP( c_Nat_OSuc, c_Groups_Ozero__class_Ozero( tc_Nat_Onat ) ), ! X
% 0.85/1.37 = c_Groups_Ozero__class_Ozero( tc_Nat_Onat ), alpha9( X, Y ) }.
% 0.85/1.37 { ! hAPP( c_Nat_OSuc, c_Groups_Ozero__class_Ozero( tc_Nat_Onat ) ) = hAPP(
% 0.85/1.37 hAPP( c_Groups_Oplus__class_Oplus( tc_Nat_Onat ), Y ), X ), alpha10( X, Y
% 0.85/1.37 ), alpha20( X, Y ) }.
% 0.85/1.37 { ! alpha10( X, Y ), hAPP( c_Nat_OSuc, c_Groups_Ozero__class_Ozero(
% 0.85/1.37 tc_Nat_Onat ) ) = hAPP( hAPP( c_Groups_Oplus__class_Oplus( tc_Nat_Onat )
% 0.85/1.37 , Y ), X ) }.
% 0.85/1.37 { ! alpha20( X, Y ), hAPP( c_Nat_OSuc, c_Groups_Ozero__class_Ozero(
% 0.85/1.37 tc_Nat_Onat ) ) = hAPP( hAPP( c_Groups_Oplus__class_Oplus( tc_Nat_Onat )
% 0.85/1.37 , Y ), X ) }.
% 0.85/1.37 { ! alpha20( X, Y ), Y = c_Groups_Ozero__class_Ozero( tc_Nat_Onat ) }.
% 0.85/1.37 { ! alpha20( X, Y ), X = hAPP( c_Nat_OSuc, c_Groups_Ozero__class_Ozero(
% 0.85/1.37 tc_Nat_Onat ) ) }.
% 0.85/1.37 { ! Y = c_Groups_Ozero__class_Ozero( tc_Nat_Onat ), ! X = hAPP( c_Nat_OSuc
% 0.85/1.37 , c_Groups_Ozero__class_Ozero( tc_Nat_Onat ) ), alpha20( X, Y ) }.
% 0.85/1.37 { ! alpha10( X, Y ), Y = hAPP( c_Nat_OSuc, c_Groups_Ozero__class_Ozero(
% 0.85/1.37 tc_Nat_Onat ) ) }.
% 0.85/1.37 { ! alpha10( X, Y ), X = c_Groups_Ozero__class_Ozero( tc_Nat_Onat ) }.
% 0.85/1.37 { ! Y = hAPP( c_Nat_OSuc, c_Groups_Ozero__class_Ozero( tc_Nat_Onat ) ), ! X
% 0.85/1.37 = c_Groups_Ozero__class_Ozero( tc_Nat_Onat ), alpha10( X, Y ) }.
% 0.85/1.37 { hAPP( hAPP( c_Groups_Ominus__class_Ominus( tc_Nat_Onat ), Y ), hAPP( hAPP
% 0.85/1.37 ( c_Groups_Oplus__class_Oplus( tc_Nat_Onat ), Y ), X ) ) =
% 0.85/1.37 c_Groups_Ozero__class_Ozero( tc_Nat_Onat ) }.
% 0.85/1.37 { ! hBOOL( hAPP( Z, hAPP( hAPP( c_Groups_Ominus__class_Ominus( tc_Nat_Onat
% 0.85/1.37 ), Y ), X ) ) ), alpha11( X, Y, Z ) }.
% 0.85/1.37 { ! hBOOL( hAPP( Z, hAPP( hAPP( c_Groups_Ominus__class_Ominus( tc_Nat_Onat
% 0.85/1.37 ), Y ), X ) ) ), alpha21( X, Y, Z ) }.
% 0.85/1.37 { ! alpha11( X, Y, Z ), ! alpha21( X, Y, Z ), hBOOL( hAPP( Z, hAPP( hAPP(
% 0.85/1.37 c_Groups_Ominus__class_Ominus( tc_Nat_Onat ), Y ), X ) ) ) }.
% 0.85/1.37 { ! alpha21( X, Y, Z ), ! Y = hAPP( hAPP( c_Groups_Oplus__class_Oplus(
% 0.85/1.37 tc_Nat_Onat ), X ), T ), hBOOL( hAPP( Z, T ) ) }.
% 0.85/1.37 { ! hBOOL( hAPP( Z, skol17( T, U, Z ) ) ), alpha21( X, Y, Z ) }.
% 0.85/1.37 { Y = hAPP( hAPP( c_Groups_Oplus__class_Oplus( tc_Nat_Onat ), X ), skol17(
% 0.85/1.37 X, Y, Z ) ), alpha21( X, Y, Z ) }.
% 0.85/1.37 { ! alpha11( X, Y, Z ), ! hBOOL( hAPP( c_Orderings_Oord__class_Oless(
% 0.85/1.37 tc_Nat_Onat, Y ), X ) ), hBOOL( hAPP( Z, c_Groups_Ozero__class_Ozero(
% 0.85/1.37 tc_Nat_Onat ) ) ) }.
% 0.85/1.37 { hBOOL( hAPP( c_Orderings_Oord__class_Oless( tc_Nat_Onat, Y ), X ) ),
% 0.85/1.37 alpha11( X, Y, Z ) }.
% 0.85/1.37 { ! hBOOL( hAPP( Z, c_Groups_Ozero__class_Ozero( tc_Nat_Onat ) ) ), alpha11
% 0.85/1.37 ( X, Y, Z ) }.
% 0.85/1.37 { ! hBOOL( hAPP( Z, hAPP( hAPP( c_Groups_Ominus__class_Ominus( tc_Nat_Onat
% 0.85/1.37 ), Y ), X ) ) ), ! alpha12( X, Y, Z ) }.
% 0.85/1.37 { ! hBOOL( hAPP( Z, hAPP( hAPP( c_Groups_Ominus__class_Ominus( tc_Nat_Onat
% 0.85/1.37 ), Y ), X ) ) ), ! alpha22( X, Y, Z ) }.
% 0.85/1.37 { alpha12( X, Y, Z ), alpha22( X, Y, Z ), hBOOL( hAPP( Z, hAPP( hAPP(
% 0.85/1.37 c_Groups_Ominus__class_Ominus( tc_Nat_Onat ), Y ), X ) ) ) }.
% 0.85/1.37 { ! alpha22( X, Y, Z ), ! hBOOL( hAPP( Z, skol18( T, U, Z ) ) ) }.
% 0.85/1.37 { ! alpha22( X, Y, Z ), Y = hAPP( hAPP( c_Groups_Oplus__class_Oplus(
% 0.85/1.37 tc_Nat_Onat ), X ), skol18( X, Y, Z ) ) }.
% 0.85/1.37 { ! Y = hAPP( hAPP( c_Groups_Oplus__class_Oplus( tc_Nat_Onat ), X ), T ),
% 0.85/1.37 hBOOL( hAPP( Z, T ) ), alpha22( X, Y, Z ) }.
% 0.85/1.37 { ! alpha12( X, Y, Z ), hBOOL( hAPP( c_Orderings_Oord__class_Oless(
% 0.85/1.37 tc_Nat_Onat, Y ), X ) ) }.
% 0.85/1.37 { ! alpha12( X, Y, Z ), ! hBOOL( hAPP( Z, c_Groups_Ozero__class_Ozero(
% 0.85/1.37 tc_Nat_Onat ) ) ) }.
% 0.85/1.37 { ! hBOOL( hAPP( c_Orderings_Oord__class_Oless( tc_Nat_Onat, Y ), X ) ),
% 0.85/1.37 hBOOL( hAPP( Z, c_Groups_Ozero__class_Ozero( tc_Nat_Onat ) ) ), alpha12(
% 0.85/1.37 X, Y, Z ) }.
% 0.85/1.37 { ! class_Groups_Ogroup__add( X ), hAPP( hAPP(
% 0.85/1.37 c_Groups_Ominus__class_Ominus( X ), Y ), c_Groups_Ozero__class_Ozero( X )
% 0.85/1.37 ) = Y }.
% 0.85/1.37 { ! class_Groups_Ogroup__add( X ), hAPP( hAPP(
% 0.85/1.37 c_Groups_Ominus__class_Ominus( X ), Y ), Y ) =
% 0.85/1.37 c_Groups_Ozero__class_Ozero( X ) }.
% 0.85/1.37 { ! class_Groups_Oab__group__add( X ), ! Z = Y, hAPP( hAPP(
% 0.85/1.37 c_Groups_Ominus__class_Ominus( X ), Z ), Y ) =
% 0.85/1.37 c_Groups_Ozero__class_Ozero( X ) }.
% 0.85/1.37 { ! class_Groups_Oab__group__add( X ), ! hAPP( hAPP(
% 0.85/1.37 c_Groups_Ominus__class_Ominus( X ), Z ), Y ) =
% 0.85/1.37 c_Groups_Ozero__class_Ozero( X ), Z = Y }.
% 0.85/1.37 { ! class_Groups_Ogroup__add( X ), ! hAPP( hAPP(
% 0.85/1.37 c_Groups_Ominus__class_Ominus( X ), Z ), Y ) =
% 0.85/1.37 c_Groups_Ozero__class_Ozero( X ), Z = Y }.
% 0.85/1.37 { ! class_Groups_Ogroup__add( X ), ! Z = Y, hAPP( hAPP(
% 0.85/1.37 c_Groups_Ominus__class_Ominus( X ), Z ), Y ) =
% 0.85/1.37 c_Groups_Ozero__class_Ozero( X ) }.
% 0.85/1.37 { ! class_Groups_Oab__group__add( X ), ! hAPP( hAPP(
% 0.85/1.37 c_Groups_Ominus__class_Ominus( X ), U ), T ) = hAPP( hAPP(
% 0.85/1.37 c_Groups_Ominus__class_Ominus( X ), Z ), Y ), ! U = T, Z = Y }.
% 0.85/1.37 { ! class_Groups_Oab__group__add( X ), ! hAPP( hAPP(
% 0.85/1.37 c_Groups_Ominus__class_Ominus( X ), U ), T ) = hAPP( hAPP(
% 0.85/1.37 c_Groups_Ominus__class_Ominus( X ), Z ), Y ), ! Z = Y, U = T }.
% 0.85/1.37 { ! class_Groups_Ocancel__semigroup__add( X ), ! hAPP( hAPP(
% 0.85/1.37 c_Groups_Oplus__class_Oplus( X ), Z ), T ) = hAPP( hAPP(
% 0.85/1.37 c_Groups_Oplus__class_Oplus( X ), Y ), T ), Z = Y }.
% 0.85/1.37 { ! class_Groups_Ocancel__ab__semigroup__add( X ), ! hAPP( hAPP(
% 0.85/1.37 c_Groups_Oplus__class_Oplus( X ), T ), Z ) = hAPP( hAPP(
% 0.85/1.37 c_Groups_Oplus__class_Oplus( X ), T ), Y ), Z = Y }.
% 0.85/1.37 { ! class_Groups_Ocancel__semigroup__add( X ), ! hAPP( hAPP(
% 0.85/1.37 c_Groups_Oplus__class_Oplus( X ), T ), Z ) = hAPP( hAPP(
% 0.85/1.37 c_Groups_Oplus__class_Oplus( X ), T ), Y ), Z = Y }.
% 0.85/1.37 { ! class_Groups_Ocancel__semigroup__add( X ), ! hAPP( hAPP(
% 0.85/1.37 c_Groups_Oplus__class_Oplus( X ), T ), Z ) = hAPP( hAPP(
% 0.85/1.37 c_Groups_Oplus__class_Oplus( X ), Y ), Z ), T = Y }.
% 0.85/1.37 { ! class_Groups_Ocancel__semigroup__add( X ), ! T = Y, hAPP( hAPP(
% 0.85/1.37 c_Groups_Oplus__class_Oplus( X ), T ), Z ) = hAPP( hAPP(
% 0.85/1.37 c_Groups_Oplus__class_Oplus( X ), Y ), Z ) }.
% 0.85/1.37 { ! class_Groups_Ocancel__semigroup__add( X ), ! hAPP( hAPP(
% 0.85/1.37 c_Groups_Oplus__class_Oplus( X ), T ), Z ) = hAPP( hAPP(
% 0.85/1.37 c_Groups_Oplus__class_Oplus( X ), T ), Y ), Z = Y }.
% 0.85/1.37 { ! class_Groups_Ocancel__semigroup__add( X ), ! Z = Y, hAPP( hAPP(
% 0.85/1.37 c_Groups_Oplus__class_Oplus( X ), T ), Z ) = hAPP( hAPP(
% 0.85/1.37 c_Groups_Oplus__class_Oplus( X ), T ), Y ) }.
% 0.85/1.37 { ! class_Groups_Oordered__ab__group__add( X ), hAPP( hAPP(
% 0.85/1.37 c_Groups_Ominus__class_Ominus( X ), hAPP( hAPP(
% 0.85/1.37 c_Orderings_Oord__class_Omax( X ), T ), Z ) ), Y ) = hAPP( hAPP(
% 0.85/1.37 c_Orderings_Oord__class_Omax( X ), hAPP( hAPP(
% 0.85/1.37 c_Groups_Ominus__class_Ominus( X ), T ), Y ) ), hAPP( hAPP(
% 0.85/1.37 c_Groups_Ominus__class_Ominus( X ), Z ), Y ) ) }.
% 0.85/1.37 { ! class_Groups_Oordered__ab__semigroup__add__imp__le( X ), hAPP( hAPP(
% 0.85/1.37 c_Groups_Oplus__class_Oplus( X ), hAPP( hAPP(
% 0.85/1.37 c_Orderings_Oord__class_Omax( X ), T ), Z ) ), Y ) = hAPP( hAPP(
% 0.85/1.37 c_Orderings_Oord__class_Omax( X ), hAPP( hAPP(
% 0.85/1.37 c_Groups_Oplus__class_Oplus( X ), T ), Y ) ), hAPP( hAPP(
% 0.85/1.37 c_Groups_Oplus__class_Oplus( X ), Z ), Y ) ) }.
% 0.85/1.37 { ! class_Groups_Oab__semigroup__add( X ), hAPP( hAPP(
% 0.85/1.37 c_Groups_Oplus__class_Oplus( X ), hAPP( hAPP( c_Groups_Oplus__class_Oplus
% 0.85/1.37 ( X ), T ), Z ) ), Y ) = hAPP( hAPP( c_Groups_Oplus__class_Oplus( X ), T
% 0.85/1.37 ), hAPP( hAPP( c_Groups_Oplus__class_Oplus( X ), Z ), Y ) ) }.
% 0.85/1.37 { ! class_Groups_Ogroup__add( X ), hAPP( hAPP(
% 0.85/1.37 c_Groups_Ominus__class_Ominus( X ), hAPP( hAPP(
% 0.85/1.37 c_Groups_Oplus__class_Oplus( X ), Z ), Y ) ), Y ) = Z }.
% 0.85/1.37 { ! class_Groups_Ogroup__add( X ), hAPP( hAPP( c_Groups_Oplus__class_Oplus
% 0.85/1.37 ( X ), hAPP( hAPP( c_Groups_Ominus__class_Ominus( X ), Z ), Y ) ), Y ) =
% 0.85/1.37 Z }.
% 0.85/1.37 { hAPP( hAPP( c_Orderings_Oord__class_Omax( tc_Nat_Onat ),
% 0.85/1.37 c_Groups_Ozero__class_Ozero( tc_Nat_Onat ) ), X ) = X }.
% 0.85/1.37 { hAPP( hAPP( c_Orderings_Oord__class_Omax( tc_Nat_Onat ), X ),
% 0.85/1.37 c_Groups_Ozero__class_Ozero( tc_Nat_Onat ) ) = X }.
% 0.85/1.37 { ! class_Groups_Ocomm__monoid__add( X ), hAPP( hAPP(
% 0.85/1.37 c_Groups_Oplus__class_Oplus( X ), Y ), c_Groups_Ozero__class_Ozero( X ) )
% 0.85/1.37 = Y }.
% 0.85/1.37 { ! class_Groups_Omonoid__add( X ), hAPP( hAPP( c_Groups_Oplus__class_Oplus
% 0.85/1.37 ( X ), Y ), c_Groups_Ozero__class_Ozero( X ) ) = Y }.
% 0.85/1.37 { ! class_Groups_Olinordered__ab__group__add( X ), !
% 0.85/1.37 c_Groups_Ozero__class_Ozero( X ) = hAPP( hAPP(
% 0.85/1.37 c_Groups_Oplus__class_Oplus( X ), Y ), Y ), Y =
% 0.85/1.37 c_Groups_Ozero__class_Ozero( X ) }.
% 0.85/1.37 { ! class_Groups_Olinordered__ab__group__add( X ), ! Y =
% 0.85/1.37 c_Groups_Ozero__class_Ozero( X ), c_Groups_Ozero__class_Ozero( X ) = hAPP
% 0.85/1.37 ( hAPP( c_Groups_Oplus__class_Oplus( X ), Y ), Y ) }.
% 0.85/1.37 { ! class_Groups_Ocomm__monoid__add( X ), hAPP( hAPP(
% 0.85/1.37 c_Groups_Oplus__class_Oplus( X ), c_Groups_Ozero__class_Ozero( X ) ), Y )
% 0.85/1.37 = Y }.
% 0.85/1.37 { ! class_Groups_Omonoid__add( X ), hAPP( hAPP( c_Groups_Oplus__class_Oplus
% 0.85/1.37 ( X ), c_Groups_Ozero__class_Ozero( X ) ), Y ) = Y }.
% 0.85/1.37 { ! class_Groups_Oordered__ab__semigroup__add__imp__le( X ), ! hBOOL( hAPP
% 0.85/1.37 ( c_Orderings_Oord__class_Oless( X, hAPP( hAPP(
% 0.85/1.37 c_Groups_Oplus__class_Oplus( X ), T ), Z ) ), hAPP( hAPP(
% 0.85/1.37 c_Groups_Oplus__class_Oplus( X ), T ), Y ) ) ), hBOOL( hAPP(
% 0.85/1.37 c_Orderings_Oord__class_Oless( X, Z ), Y ) ) }.
% 0.85/1.37 { ! class_Groups_Oordered__ab__semigroup__add__imp__le( X ), ! hBOOL( hAPP
% 0.85/1.37 ( c_Orderings_Oord__class_Oless( X, hAPP( hAPP(
% 0.85/1.37 c_Groups_Oplus__class_Oplus( X ), Z ), T ) ), hAPP( hAPP(
% 0.85/1.37 c_Groups_Oplus__class_Oplus( X ), Y ), T ) ) ), hBOOL( hAPP(
% 0.85/1.37 c_Orderings_Oord__class_Oless( X, Z ), Y ) ) }.
% 0.85/1.37 { ! class_Groups_Oordered__cancel__ab__semigroup__add( X ), ! hBOOL( hAPP(
% 0.85/1.37 c_Orderings_Oord__class_Oless( X, Z ), Y ) ), ! hBOOL( hAPP(
% 0.85/1.37 c_Orderings_Oord__class_Oless( X, U ), T ) ), hBOOL( hAPP(
% 0.85/1.37 c_Orderings_Oord__class_Oless( X, hAPP( hAPP( c_Groups_Oplus__class_Oplus
% 0.85/1.37 ( X ), Z ), U ) ), hAPP( hAPP( c_Groups_Oplus__class_Oplus( X ), Y ), T )
% 0.85/1.37 ) ) }.
% 0.85/1.37 { ! class_Groups_Oordered__cancel__ab__semigroup__add( X ), ! hBOOL( hAPP(
% 0.85/1.37 c_Orderings_Oord__class_Oless( X, Z ), Y ) ), hBOOL( hAPP(
% 0.85/1.37 c_Orderings_Oord__class_Oless( X, hAPP( hAPP( c_Groups_Oplus__class_Oplus
% 0.85/1.37 ( X ), T ), Z ) ), hAPP( hAPP( c_Groups_Oplus__class_Oplus( X ), T ), Y )
% 0.85/1.37 ) ) }.
% 0.85/1.37 { ! class_Groups_Oordered__cancel__ab__semigroup__add( X ), ! hBOOL( hAPP(
% 0.85/1.37 c_Orderings_Oord__class_Oless( X, Z ), Y ) ), hBOOL( hAPP(
% 0.85/1.37 c_Orderings_Oord__class_Oless( X, hAPP( hAPP( c_Groups_Oplus__class_Oplus
% 0.85/1.37 ( X ), Z ), T ) ), hAPP( hAPP( c_Groups_Oplus__class_Oplus( X ), Y ), T )
% 0.85/1.37 ) ) }.
% 0.85/1.37 { ! class_Groups_Oordered__ab__semigroup__add__imp__le( X ), ! hBOOL( hAPP
% 0.85/1.37 ( c_Orderings_Oord__class_Oless( X, hAPP( hAPP(
% 0.85/1.37 c_Groups_Oplus__class_Oplus( X ), T ), Z ) ), hAPP( hAPP(
% 0.85/1.37 c_Groups_Oplus__class_Oplus( X ), T ), Y ) ) ), hBOOL( hAPP(
% 0.85/1.37 c_Orderings_Oord__class_Oless( X, Z ), Y ) ) }.
% 0.85/1.37 { ! class_Groups_Oordered__ab__semigroup__add__imp__le( X ), ! hBOOL( hAPP
% 0.85/1.37 ( c_Orderings_Oord__class_Oless( X, Z ), Y ) ), hBOOL( hAPP(
% 0.85/1.37 c_Orderings_Oord__class_Oless( X, hAPP( hAPP( c_Groups_Oplus__class_Oplus
% 0.85/1.37 ( X ), T ), Z ) ), hAPP( hAPP( c_Groups_Oplus__class_Oplus( X ), T ), Y )
% 0.85/1.37 ) ) }.
% 0.85/1.37 { ! class_Groups_Oordered__ab__semigroup__add__imp__le( X ), ! hBOOL( hAPP
% 0.85/1.37 ( c_Orderings_Oord__class_Oless( X, hAPP( hAPP(
% 0.85/1.37 c_Groups_Oplus__class_Oplus( X ), T ), Z ) ), hAPP( hAPP(
% 0.85/1.37 c_Groups_Oplus__class_Oplus( X ), Y ), Z ) ) ), hBOOL( hAPP(
% 0.85/1.37 c_Orderings_Oord__class_Oless( X, T ), Y ) ) }.
% 0.85/1.37 { ! class_Groups_Oordered__ab__semigroup__add__imp__le( X ), ! hBOOL( hAPP
% 0.85/1.37 ( c_Orderings_Oord__class_Oless( X, T ), Y ) ), hBOOL( hAPP(
% 0.85/1.37 c_Orderings_Oord__class_Oless( X, hAPP( hAPP( c_Groups_Oplus__class_Oplus
% 0.85/1.37 ( X ), T ), Z ) ), hAPP( hAPP( c_Groups_Oplus__class_Oplus( X ), Y ), Z )
% 0.85/1.37 ) ) }.
% 0.85/1.37 { hAPP( hAPP( c_Groups_Ominus__class_Ominus( tc_Nat_Onat ),
% 0.85/1.37 c_Groups_Ozero__class_Ozero( tc_Nat_Onat ) ), X ) =
% 0.85/1.37 c_Groups_Ozero__class_Ozero( tc_Nat_Onat ) }.
% 0.85/1.37 { hAPP( hAPP( c_Groups_Ominus__class_Ominus( tc_Nat_Onat ), X ),
% 0.85/1.37 c_Groups_Ozero__class_Ozero( tc_Nat_Onat ) ) = X }.
% 0.85/1.37 { hAPP( hAPP( c_Groups_Ominus__class_Ominus( tc_Nat_Onat ), X ), X ) =
% 0.85/1.37 c_Groups_Ozero__class_Ozero( tc_Nat_Onat ) }.
% 0.85/1.37 { ! hAPP( hAPP( c_Groups_Ominus__class_Ominus( tc_Nat_Onat ), Y ), X ) =
% 0.85/1.37 c_Groups_Ozero__class_Ozero( tc_Nat_Onat ), ! hAPP( hAPP(
% 0.85/1.37 c_Groups_Ominus__class_Ominus( tc_Nat_Onat ), X ), Y ) =
% 0.85/1.37 c_Groups_Ozero__class_Ozero( tc_Nat_Onat ), Y = X }.
% 0.85/1.37 { ! hBOOL( hAPP( c_Orderings_Oord__class_Oless( tc_Nat_Onat, Y ), X ) ),
% 0.85/1.37 hBOOL( hAPP( c_Orderings_Oord__class_Oless( tc_Nat_Onat, hAPP( hAPP(
% 0.85/1.37 c_Groups_Ominus__class_Ominus( tc_Nat_Onat ), Y ), Z ) ), X ) ) }.
% 0.85/1.37 { ! hBOOL( hAPP( c_Orderings_Oord__class_Oless( tc_Nat_Onat, Y ), X ) ), !
% 0.85/1.37 hBOOL( hAPP( c_Orderings_Oord__class_Oless( tc_Nat_Onat, Y ), Z ) ),
% 0.85/1.37 hBOOL( hAPP( c_Orderings_Oord__class_Oless( tc_Nat_Onat, hAPP( hAPP(
% 0.85/1.37 c_Groups_Ominus__class_Ominus( tc_Nat_Onat ), Z ), X ) ), hAPP( hAPP(
% 0.85/1.37 c_Groups_Ominus__class_Ominus( tc_Nat_Onat ), Z ), Y ) ) ) }.
% 0.85/1.37 { ! c_Groups_Ozero__class_Ozero( tc_Nat_Onat ) = hAPP( c_Nat_OSuc, X ) }.
% 0.85/1.37 { ! c_Groups_Ozero__class_Ozero( tc_Nat_Onat ) = hAPP( c_Nat_OSuc, X ) }.
% 0.85/1.37 { ! hAPP( c_Nat_OSuc, X ) = c_Groups_Ozero__class_Ozero( tc_Nat_Onat ) }.
% 0.85/1.37 { ! hAPP( c_Nat_OSuc, X ) = c_Groups_Ozero__class_Ozero( tc_Nat_Onat ) }.
% 0.85/1.37 { ! c_Groups_Ozero__class_Ozero( tc_Nat_Onat ) = hAPP( c_Nat_OSuc, X ) }.
% 0.85/1.37 { ! hAPP( c_Nat_OSuc, X ) = c_Groups_Ozero__class_Ozero( tc_Nat_Onat ) }.
% 0.85/1.37 { hBOOL( hAPP( c_Orderings_Oord__class_Oless( tc_Nat_Onat, Y ), X ) ),
% 0.85/1.37 hBOOL( hAPP( c_Orderings_Oord__class_Oless( tc_Nat_Onat, X ), hAPP(
% 0.85/1.37 c_Nat_OSuc, Y ) ) ) }.
% 0.85/1.37 { ! hBOOL( hAPP( c_Orderings_Oord__class_Oless( tc_Nat_Onat, X ), hAPP(
% 0.85/1.37 c_Nat_OSuc, Y ) ) ), ! hBOOL( hAPP( c_Orderings_Oord__class_Oless(
% 0.85/1.37 tc_Nat_Onat, Y ), X ) ) }.
% 0.85/1.37 { ! hBOOL( hAPP( c_Orderings_Oord__class_Oless( tc_Nat_Onat, Y ), hAPP(
% 0.85/1.37 c_Nat_OSuc, X ) ) ), hBOOL( hAPP( c_Orderings_Oord__class_Oless(
% 0.85/1.37 tc_Nat_Onat, Y ), X ) ), Y = X }.
% 0.85/1.37 { ! hBOOL( hAPP( c_Orderings_Oord__class_Oless( tc_Nat_Onat, Y ), X ) ),
% 0.85/1.37 hBOOL( hAPP( c_Orderings_Oord__class_Oless( tc_Nat_Onat, Y ), hAPP(
% 0.85/1.37 c_Nat_OSuc, X ) ) ) }.
% 0.85/1.37 { ! Y = X, hBOOL( hAPP( c_Orderings_Oord__class_Oless( tc_Nat_Onat, Y ),
% 0.85/1.37 hAPP( c_Nat_OSuc, X ) ) ) }.
% 0.85/1.37 { ! hBOOL( hAPP( c_Orderings_Oord__class_Oless( tc_Nat_Onat, hAPP(
% 0.85/1.37 c_Nat_OSuc, Y ) ), hAPP( c_Nat_OSuc, X ) ) ), hBOOL( hAPP(
% 0.85/1.37 c_Orderings_Oord__class_Oless( tc_Nat_Onat, Y ), X ) ) }.
% 0.85/1.37 { ! hBOOL( hAPP( c_Orderings_Oord__class_Oless( tc_Nat_Onat, Y ), X ) ),
% 0.85/1.37 hBOOL( hAPP( c_Orderings_Oord__class_Oless( tc_Nat_Onat, hAPP( c_Nat_OSuc
% 0.85/1.37 , Y ) ), hAPP( c_Nat_OSuc, X ) ) ) }.
% 0.85/1.37 { hBOOL( hAPP( c_Orderings_Oord__class_Oless( tc_Nat_Onat, Y ), X ) ), !
% 0.85/1.37 hBOOL( hAPP( c_Orderings_Oord__class_Oless( tc_Nat_Onat, Y ), hAPP(
% 0.85/1.37 c_Nat_OSuc, X ) ) ), Y = X }.
% 0.85/1.37 { hBOOL( hAPP( c_Orderings_Oord__class_Oless( tc_Nat_Onat, Y ), X ) ), ! Y
% 0.85/1.37 = X, hBOOL( hAPP( c_Orderings_Oord__class_Oless( tc_Nat_Onat, Y ), hAPP(
% 0.85/1.37 c_Nat_OSuc, X ) ) ) }.
% 0.85/1.37 { hBOOL( hAPP( c_Orderings_Oord__class_Oless( tc_Nat_Onat, Y ), X ) ), !
% 0.85/1.37 hBOOL( hAPP( c_Orderings_Oord__class_Oless( tc_Nat_Onat, Y ), hAPP(
% 0.85/1.37 c_Nat_OSuc, X ) ) ), X = Y }.
% 0.85/1.37 { ! hBOOL( hAPP( c_Orderings_Oord__class_Oless( tc_Nat_Onat, Y ), X ) ),
% 0.85/1.37 hBOOL( hAPP( c_Orderings_Oord__class_Oless( tc_Nat_Onat, Y ), hAPP(
% 0.85/1.37 c_Nat_OSuc, X ) ) ) }.
% 0.85/1.37 { ! hBOOL( hAPP( c_Orderings_Oord__class_Oless( tc_Nat_Onat, Y ), X ) ),
% 0.85/1.37 hAPP( c_Nat_OSuc, Y ) = X, hBOOL( hAPP( c_Orderings_Oord__class_Oless(
% 0.85/1.37 tc_Nat_Onat, hAPP( c_Nat_OSuc, Y ) ), X ) ) }.
% 0.85/1.37 { ! hBOOL( hAPP( c_Orderings_Oord__class_Oless( tc_Nat_Onat, Y ), X ) ), !
% 0.85/1.37 hBOOL( hAPP( c_Orderings_Oord__class_Oless( tc_Nat_Onat, X ), Z ) ),
% 0.85/1.37 hBOOL( hAPP( c_Orderings_Oord__class_Oless( tc_Nat_Onat, hAPP( c_Nat_OSuc
% 0.85/1.37 , Y ) ), Z ) ) }.
% 0.85/1.37 { ! hBOOL( hAPP( c_Orderings_Oord__class_Oless( tc_Nat_Onat, Y ), hAPP(
% 0.85/1.37 c_Nat_OSuc, X ) ) ), hBOOL( hAPP( c_Orderings_Oord__class_Oless(
% 0.85/1.37 tc_Nat_Onat, Y ), X ) ), Y = X }.
% 0.85/1.37 { ! hBOOL( hAPP( c_Orderings_Oord__class_Oless( tc_Nat_Onat, hAPP(
% 0.85/1.37 c_Nat_OSuc, Y ) ), X ) ), hBOOL( hAPP( c_Orderings_Oord__class_Oless(
% 0.85/1.37 tc_Nat_Onat, Y ), X ) ) }.
% 0.85/1.37 { ! hBOOL( hAPP( c_Orderings_Oord__class_Oless( tc_Nat_Onat, hAPP(
% 0.85/1.37 c_Nat_OSuc, Y ) ), hAPP( c_Nat_OSuc, X ) ) ), hBOOL( hAPP(
% 0.85/1.37 c_Orderings_Oord__class_Oless( tc_Nat_Onat, Y ), X ) ) }.
% 0.85/1.37 { hAPP( hAPP( c_Groups_Oplus__class_Oplus( tc_Nat_Onat ),
% 0.85/1.37 c_Groups_Ozero__class_Ozero( tc_Nat_Onat ) ), X ) = X }.
% 0.85/1.37 { hAPP( hAPP( c_Groups_Oplus__class_Oplus( tc_Nat_Onat ), X ),
% 0.85/1.37 c_Groups_Ozero__class_Ozero( tc_Nat_Onat ) ) = X }.
% 0.85/1.37 { ! hAPP( hAPP( c_Groups_Oplus__class_Oplus( tc_Nat_Onat ), Y ), X ) =
% 0.85/1.37 c_Groups_Ozero__class_Ozero( tc_Nat_Onat ), Y =
% 0.85/1.37 c_Groups_Ozero__class_Ozero( tc_Nat_Onat ) }.
% 0.85/1.37 { ! hAPP( hAPP( c_Groups_Oplus__class_Oplus( tc_Nat_Onat ), Y ), X ) =
% 0.85/1.37 c_Groups_Ozero__class_Ozero( tc_Nat_Onat ), X =
% 0.85/1.37 c_Groups_Ozero__class_Ozero( tc_Nat_Onat ) }.
% 0.85/1.37 { ! Y = c_Groups_Ozero__class_Ozero( tc_Nat_Onat ), ! X =
% 0.85/1.37 c_Groups_Ozero__class_Ozero( tc_Nat_Onat ), hAPP( hAPP(
% 0.85/1.37 c_Groups_Oplus__class_Oplus( tc_Nat_Onat ), Y ), X ) =
% 0.85/1.37 c_Groups_Ozero__class_Ozero( tc_Nat_Onat ) }.
% 0.85/1.37 { ! hAPP( hAPP( c_Groups_Oplus__class_Oplus( tc_Nat_Onat ), Y ), X ) = Y, X
% 0.85/1.37 = c_Groups_Ozero__class_Ozero( tc_Nat_Onat ) }.
% 0.85/1.37 { ! hBOOL( hAPP( c_Orderings_Oord__class_Oless( tc_Nat_Onat, hAPP( hAPP(
% 0.85/1.37 c_Groups_Oplus__class_Oplus( tc_Nat_Onat ), Y ), X ) ), Y ) ) }.
% 0.85/1.37 { ! hBOOL( hAPP( c_Orderings_Oord__class_Oless( tc_Nat_Onat, hAPP( hAPP(
% 0.85/1.37 c_Groups_Oplus__class_Oplus( tc_Nat_Onat ), Y ), X ) ), X ) ) }.
% 0.85/1.37 { ! hBOOL( hAPP( c_Orderings_Oord__class_Oless( tc_Nat_Onat, hAPP( hAPP(
% 0.85/1.37 c_Groups_Oplus__class_Oplus( tc_Nat_Onat ), Z ), Y ) ), hAPP( hAPP(
% 0.85/1.37 c_Groups_Oplus__class_Oplus( tc_Nat_Onat ), Z ), X ) ) ), hBOOL( hAPP(
% 0.85/1.37 c_Orderings_Oord__class_Oless( tc_Nat_Onat, Y ), X ) ) }.
% 0.85/1.37 { ! hBOOL( hAPP( c_Orderings_Oord__class_Oless( tc_Nat_Onat, Y ), X ) ),
% 0.85/1.37 hBOOL( hAPP( c_Orderings_Oord__class_Oless( tc_Nat_Onat, hAPP( hAPP(
% 0.85/1.37 c_Groups_Oplus__class_Oplus( tc_Nat_Onat ), Z ), Y ) ), hAPP( hAPP(
% 0.85/1.37 c_Groups_Oplus__class_Oplus( tc_Nat_Onat ), Z ), X ) ) ) }.
% 0.85/1.37 { ! hBOOL( hAPP( c_Orderings_Oord__class_Oless( tc_Nat_Onat, Y ), X ) ),
% 0.85/1.37 hBOOL( hAPP( c_Orderings_Oord__class_Oless( tc_Nat_Onat, Y ), hAPP( hAPP
% 0.85/1.37 ( c_Groups_Oplus__class_Oplus( tc_Nat_Onat ), X ), Z ) ) ) }.
% 0.85/1.37 { ! hBOOL( hAPP( c_Orderings_Oord__class_Oless( tc_Nat_Onat, Y ), X ) ),
% 0.85/1.37 hBOOL( hAPP( c_Orderings_Oord__class_Oless( tc_Nat_Onat, Y ), hAPP( hAPP
% 0.85/1.37 ( c_Groups_Oplus__class_Oplus( tc_Nat_Onat ), Z ), X ) ) ) }.
% 0.85/1.37 { ! hBOOL( hAPP( c_Orderings_Oord__class_Oless( tc_Nat_Onat, Y ), X ) ),
% 0.85/1.37 hBOOL( hAPP( c_Orderings_Oord__class_Oless( tc_Nat_Onat, hAPP( hAPP(
% 0.85/1.37 c_Groups_Oplus__class_Oplus( tc_Nat_Onat ), Y ), Z ) ), hAPP( hAPP(
% 0.85/1.37 c_Groups_Oplus__class_Oplus( tc_Nat_Onat ), X ), Z ) ) ) }.
% 0.85/1.37 { ! hBOOL( hAPP( c_Orderings_Oord__class_Oless( tc_Nat_Onat, Y ), X ) ), !
% 0.85/1.37 hBOOL( hAPP( c_Orderings_Oord__class_Oless( tc_Nat_Onat, T ), Z ) ),
% 0.85/1.37 hBOOL( hAPP( c_Orderings_Oord__class_Oless( tc_Nat_Onat, hAPP( hAPP(
% 0.85/1.37 c_Groups_Oplus__class_Oplus( tc_Nat_Onat ), Y ), T ) ), hAPP( hAPP(
% 0.85/1.37 c_Groups_Oplus__class_Oplus( tc_Nat_Onat ), X ), Z ) ) ) }.
% 0.85/1.37 { ! hBOOL( hAPP( c_Orderings_Oord__class_Oless( tc_Nat_Onat, Y ), X ) ), !
% 0.85/1.37 hAPP( hAPP( c_Groups_Oplus__class_Oplus( tc_Nat_Onat ), T ), X ) = hAPP(
% 0.85/1.37 hAPP( c_Groups_Oplus__class_Oplus( tc_Nat_Onat ), Y ), Z ), hBOOL( hAPP(
% 0.85/1.37 c_Orderings_Oord__class_Oless( tc_Nat_Onat, T ), Z ) ) }.
% 0.85/1.37 { ! hBOOL( hAPP( c_Orderings_Oord__class_Oless( tc_Nat_Onat, hAPP( hAPP(
% 0.85/1.37 c_Groups_Oplus__class_Oplus( tc_Nat_Onat ), Y ), Z ) ), X ) ), hBOOL(
% 0.85/1.37 hAPP( c_Orderings_Oord__class_Oless( tc_Nat_Onat, Y ), X ) ) }.
% 0.85/1.37 { ! class_Groups_Osemigroup__add( X ), hAPP( c_List_Ofoldl( X, X,
% 0.85/1.37 c_Groups_Oplus__class_Oplus( X ), hAPP( hAPP( c_Groups_Oplus__class_Oplus
% 0.85/1.37 ( X ), T ), Z ) ), Y ) = hAPP( hAPP( c_Groups_Oplus__class_Oplus( X ), T
% 0.85/1.37 ), hAPP( c_List_Ofoldl( X, X, c_Groups_Oplus__class_Oplus( X ), Z ), Y )
% 0.85/1.37 ) }.
% 0.85/1.37 { hAPP( hAPP( c_List_Odrop( T ), Z ), hAPP( hAPP( c_List_Odrop( T ), Y ), X
% 0.85/1.37 ) ) = hAPP( hAPP( c_List_Odrop( T ), hAPP( hAPP(
% 0.85/1.37 c_Groups_Oplus__class_Oplus( tc_Nat_Onat ), Z ), Y ) ), X ) }.
% 0.85/1.37 { c_Nat_Onat_Onat__case( T, Z, Y, hAPP( c_Nat_OSuc, X ) ) = hAPP( Y, X ) }
% 0.85/1.37 .
% 0.85/1.37 { hAPP( c_Nat_Osize__class_Osize( tc_List_Olist( Z ) ), hAPP( hAPP(
% 0.85/1.37 c_List_Olist_OCons( Z ), Y ), X ) ) = hAPP( hAPP(
% 0.85/1.37 c_Groups_Oplus__class_Oplus( tc_Nat_Onat ), hAPP(
% 0.85/1.37 c_Nat_Osize__class_Osize( tc_List_Olist( Z ) ), X ) ), hAPP( c_Nat_OSuc,
% 0.85/1.37 c_Groups_Ozero__class_Ozero( tc_Nat_Onat ) ) ) }.
% 0.85/1.37 { c_List_Olist_Olist__size( T, Z, hAPP( hAPP( c_List_Olist_OCons( T ), Y )
% 0.85/1.37 , X ) ) = hAPP( hAPP( c_Groups_Oplus__class_Oplus( tc_Nat_Onat ), hAPP(
% 0.85/1.37 hAPP( c_Groups_Oplus__class_Oplus( tc_Nat_Onat ), hAPP( Z, Y ) ),
% 0.85/1.37 c_List_Olist_Olist__size( T, Z, X ) ) ), hAPP( c_Nat_OSuc,
% 0.85/1.37 c_Groups_Ozero__class_Ozero( tc_Nat_Onat ) ) ) }.
% 0.85/1.37 { ! class_Groups_Oordered__ab__group__add( X ), ! hBOOL( hAPP(
% 0.85/1.37 c_Orderings_Oord__class_Oless( X, Z ), Y ) ), hBOOL( hAPP(
% 0.85/1.37 c_Orderings_Oord__class_Oless( X, hAPP( hAPP(
% 0.85/1.37 c_Groups_Ominus__class_Ominus( X ), Z ), Y ) ),
% 0.85/1.37 c_Groups_Ozero__class_Ozero( X ) ) ) }.
% 0.85/1.37 { ! class_Groups_Oordered__ab__group__add( X ), ! hBOOL( hAPP(
% 0.85/1.37 c_Orderings_Oord__class_Oless( X, hAPP( hAPP(
% 0.85/1.37 c_Groups_Ominus__class_Ominus( X ), Z ), Y ) ),
% 0.85/1.37 c_Groups_Ozero__class_Ozero( X ) ) ), hBOOL( hAPP(
% 0.85/1.37 c_Orderings_Oord__class_Oless( X, Z ), Y ) ) }.
% 0.85/1.37 { ! c_List_Olist__ex( T, Z, hAPP( hAPP( c_List_Olist_OCons( T ), Y ), X ) )
% 0.85/1.37 , hBOOL( hAPP( Z, Y ) ), c_List_Olist__ex( T, Z, X ) }.
% 0.85/1.37 { ! hBOOL( hAPP( Z, Y ) ), c_List_Olist__ex( T, Z, hAPP( hAPP(
% 0.85/1.37 c_List_Olist_OCons( T ), Y ), X ) ) }.
% 0.85/1.37 { ! c_List_Olist__ex( T, Z, X ), c_List_Olist__ex( T, Z, hAPP( hAPP(
% 0.85/1.37 c_List_Olist_OCons( T ), Y ), X ) ) }.
% 0.85/1.37 { ! c_List_Olist__ex( Y, X, c_List_Olist_ONil( Y ) ) }.
% 0.85/1.37 { ! c_List_Olist__ex( T, Z, hAPP( hAPP( c_List_Oappend( T ), Y ), X ) ),
% 0.85/1.37 c_List_Olist__ex( T, Z, Y ), c_List_Olist__ex( T, Z, X ) }.
% 0.85/1.37 { ! c_List_Olist__ex( T, Z, Y ), c_List_Olist__ex( T, Z, hAPP( hAPP(
% 0.85/1.37 c_List_Oappend( T ), Y ), X ) ) }.
% 0.85/1.37 { ! c_List_Olist__ex( T, Z, X ), c_List_Olist__ex( T, Z, hAPP( hAPP(
% 0.85/1.37 c_List_Oappend( T ), Y ), X ) ) }.
% 0.85/1.37 { ! hBOOL( hAPP( c_Orderings_Oord__class_Oless( tc_Nat_Onat, Z ), hAPP(
% 0.85/1.37 c_Nat_Osize__class_Osize( tc_List_Olist( Y ) ), X ) ) ), hAPP(
% 0.85/1.37 c_List_Onth( Y, c_List_Orev( Y, X ) ), Z ) = hAPP( c_List_Onth( Y, X ),
% 0.85/1.37 hAPP( hAPP( c_Groups_Ominus__class_Ominus( tc_Nat_Onat ), hAPP(
% 0.85/1.37 c_Nat_Osize__class_Osize( tc_List_Olist( Y ) ), X ) ), hAPP( c_Nat_OSuc,
% 0.85/1.37 Z ) ) ) }.
% 0.85/1.37 { ! class_Groups_Olinordered__ab__group__add( X ), ! hBOOL( hAPP(
% 0.85/1.37 c_Orderings_Oord__class_Oless( X, c_Groups_Ozero__class_Ozero( X ) ),
% 0.85/1.37 hAPP( hAPP( c_Groups_Oplus__class_Oplus( X ), Y ), Y ) ) ), hBOOL( hAPP(
% 0.85/1.37 c_Orderings_Oord__class_Oless( X, c_Groups_Ozero__class_Ozero( X ) ), Y )
% 0.85/1.37 ) }.
% 0.85/1.37 { ! class_Groups_Olinordered__ab__group__add( X ), ! hBOOL( hAPP(
% 0.85/1.37 c_Orderings_Oord__class_Oless( X, c_Groups_Ozero__class_Ozero( X ) ), Y )
% 0.85/1.37 ), hBOOL( hAPP( c_Orderings_Oord__class_Oless( X,
% 0.85/1.37 c_Groups_Ozero__class_Ozero( X ) ), hAPP( hAPP(
% 0.85/1.37 c_Groups_Oplus__class_Oplus( X ), Y ), Y ) ) ) }.
% 0.85/1.37 { ! class_Groups_Olinordered__ab__group__add( X ), ! hBOOL( hAPP(
% 0.85/1.37 c_Orderings_Oord__class_Oless( X, hAPP( hAPP( c_Groups_Oplus__class_Oplus
% 0.85/1.37 ( X ), Y ), Y ) ), c_Groups_Ozero__class_Ozero( X ) ) ), hBOOL( hAPP(
% 0.85/1.37 c_Orderings_Oord__class_Oless( X, Y ), c_Groups_Ozero__class_Ozero( X ) )
% 0.85/1.37 ) }.
% 0.85/1.37 { ! class_Groups_Olinordered__ab__group__add( X ), ! hBOOL( hAPP(
% 0.85/1.37 c_Orderings_Oord__class_Oless( X, Y ), c_Groups_Ozero__class_Ozero( X ) )
% 0.85/1.37 ), hBOOL( hAPP( c_Orderings_Oord__class_Oless( X, hAPP( hAPP(
% 0.85/1.37 c_Groups_Oplus__class_Oplus( X ), Y ), Y ) ), c_Groups_Ozero__class_Ozero
% 0.85/1.37 ( X ) ) ) }.
% 0.85/1.37 { ! class_Groups_Oordered__comm__monoid__add( X ), ! hBOOL( hAPP(
% 0.85/1.37 c_Orderings_Oord__class_Oless( X, c_Groups_Ozero__class_Ozero( X ) ), Y )
% 0.85/1.37 ), ! hBOOL( hAPP( c_Orderings_Oord__class_Oless( X,
% 0.85/1.37 c_Groups_Ozero__class_Ozero( X ) ), Z ) ), hBOOL( hAPP(
% 0.85/1.37 c_Orderings_Oord__class_Oless( X, c_Groups_Ozero__class_Ozero( X ) ),
% 0.85/1.37 hAPP( hAPP( c_Groups_Oplus__class_Oplus( X ), Y ), Z ) ) ) }.
% 0.85/1.37 { ! class_Groups_Oordered__comm__monoid__add( X ), ! hBOOL( hAPP(
% 0.85/1.37 c_Orderings_Oord__class_Oless( X, Y ), c_Groups_Ozero__class_Ozero( X ) )
% 0.85/1.37 ), ! hBOOL( hAPP( c_Orderings_Oord__class_Oless( X, Z ),
% 0.85/1.37 c_Groups_Ozero__class_Ozero( X ) ) ), hBOOL( hAPP(
% 0.85/1.37 c_Orderings_Oord__class_Oless( X, hAPP( hAPP( c_Groups_Oplus__class_Oplus
% 0.85/1.37 ( X ), Y ), Z ) ), c_Groups_Ozero__class_Ozero( X ) ) ) }.
% 0.85/1.37 { ! hBOOL( hAPP( c_Orderings_Oord__class_Oless( tc_Nat_Onat,
% 0.85/1.37 c_Groups_Ozero__class_Ozero( tc_Nat_Onat ) ), hAPP( hAPP(
% 0.85/1.37 c_Groups_Ominus__class_Ominus( tc_Nat_Onat ), Y ), X ) ) ), hBOOL( hAPP(
% 0.85/1.37 c_Orderings_Oord__class_Oless( tc_Nat_Onat, X ), Y ) ) }.
% 0.85/1.37 { ! hBOOL( hAPP( c_Orderings_Oord__class_Oless( tc_Nat_Onat, X ), Y ) ),
% 0.85/1.37 hBOOL( hAPP( c_Orderings_Oord__class_Oless( tc_Nat_Onat,
% 0.85/1.37 c_Groups_Ozero__class_Ozero( tc_Nat_Onat ) ), hAPP( hAPP(
% 0.85/1.37 c_Groups_Ominus__class_Ominus( tc_Nat_Onat ), Y ), X ) ) ) }.
% 0.85/1.37 { ! hBOOL( hAPP( c_Orderings_Oord__class_Oless( tc_Nat_Onat,
% 0.85/1.37 c_Groups_Ozero__class_Ozero( tc_Nat_Onat ) ), X ) ), ! hBOOL( hAPP(
% 0.85/1.37 c_Orderings_Oord__class_Oless( tc_Nat_Onat, c_Groups_Ozero__class_Ozero(
% 0.85/1.37 tc_Nat_Onat ) ), Y ) ), hBOOL( hAPP( c_Orderings_Oord__class_Oless(
% 0.85/1.37 tc_Nat_Onat, hAPP( hAPP( c_Groups_Ominus__class_Ominus( tc_Nat_Onat ), Y
% 0.85/1.37 ), X ) ), Y ) ) }.
% 0.85/1.37 { ! c_List_Olist__ex( Z, Y, c_List_Orev( Z, X ) ), c_List_Olist__ex( Z, Y,
% 0.85/1.37 X ) }.
% 0.85/1.37 { ! c_List_Olist__ex( Z, Y, X ), c_List_Olist__ex( Z, Y, c_List_Orev( Z, X
% 0.85/1.37 ) ) }.
% 0.85/1.37 { ! class_Rings_Olinordered__semidom( X ), ! hBOOL( hAPP(
% 0.85/1.37 c_Orderings_Oord__class_Oless( X, c_Nat_Osemiring__1__class_Oof__nat( X,
% 0.85/1.37 Y ) ), c_Groups_Ozero__class_Ozero( X ) ) ) }.
% 0.85/1.37 { ! hBOOL( hAPP( c_Orderings_Oord__class_Oless( tc_Nat_Onat,
% 0.85/1.37 c_Groups_Ozero__class_Ozero( tc_Nat_Onat ) ), X ) ), X = hAPP( c_Nat_OSuc
% 0.85/1.37 , skol19( X ) ) }.
% 0.85/1.37 { ! X = hAPP( c_Nat_OSuc, Y ), hBOOL( hAPP( c_Orderings_Oord__class_Oless(
% 0.85/1.37 tc_Nat_Onat, c_Groups_Ozero__class_Ozero( tc_Nat_Onat ) ), X ) ) }.
% 0.85/1.37 { ! hBOOL( hAPP( c_Orderings_Oord__class_Oless( tc_Nat_Onat, X ), hAPP(
% 0.85/1.37 c_Nat_OSuc, c_Groups_Ozero__class_Ozero( tc_Nat_Onat ) ) ) ), X =
% 0.85/1.37 c_Groups_Ozero__class_Ozero( tc_Nat_Onat ) }.
% 0.85/1.37 { ! X = c_Groups_Ozero__class_Ozero( tc_Nat_Onat ), hBOOL( hAPP(
% 0.85/1.37 c_Orderings_Oord__class_Oless( tc_Nat_Onat, X ), hAPP( c_Nat_OSuc,
% 0.85/1.37 c_Groups_Ozero__class_Ozero( tc_Nat_Onat ) ) ) ) }.
% 0.85/1.37 { ! hBOOL( hAPP( c_Orderings_Oord__class_Oless( tc_Nat_Onat, Y ), hAPP(
% 0.85/1.37 c_Nat_OSuc, X ) ) ), Y = c_Groups_Ozero__class_Ozero( tc_Nat_Onat ),
% 0.85/1.37 alpha13( X, Y ) }.
% 0.85/1.37 { ! Y = c_Groups_Ozero__class_Ozero( tc_Nat_Onat ), hBOOL( hAPP(
% 0.85/1.37 c_Orderings_Oord__class_Oless( tc_Nat_Onat, Y ), hAPP( c_Nat_OSuc, X ) )
% 0.85/1.37 ) }.
% 0.85/1.37 { ! alpha13( X, Y ), hBOOL( hAPP( c_Orderings_Oord__class_Oless(
% 0.85/1.37 tc_Nat_Onat, Y ), hAPP( c_Nat_OSuc, X ) ) ) }.
% 0.85/1.37 { ! alpha13( X, Y ), Y = hAPP( c_Nat_OSuc, skol20( Z, Y ) ) }.
% 0.85/1.37 { ! alpha13( X, Y ), hBOOL( hAPP( c_Orderings_Oord__class_Oless(
% 0.85/1.37 tc_Nat_Onat, skol20( X, Y ) ), X ) ) }.
% 0.85/1.37 { ! Y = hAPP( c_Nat_OSuc, Z ), ! hBOOL( hAPP( c_Orderings_Oord__class_Oless
% 0.85/1.37 ( tc_Nat_Onat, Z ), X ) ), alpha13( X, Y ) }.
% 0.85/1.37 { ! class_Rings_Osemiring__1( X ), c_Nat_Osemiring__1__class_Oof__nat( X,
% 0.85/1.37 c_Groups_Ozero__class_Ozero( tc_Nat_Onat ) ) =
% 0.85/1.37 c_Groups_Ozero__class_Ozero( X ) }.
% 0.85/1.37 { ! hBOOL( hAPP( c_Orderings_Oord__class_Oless( tc_Nat_Onat,
% 0.85/1.37 c_Groups_Ozero__class_Ozero( tc_Nat_Onat ) ), hAPP( hAPP(
% 0.85/1.37 c_Groups_Oplus__class_Oplus( tc_Nat_Onat ), Y ), X ) ) ), hBOOL( hAPP(
% 0.85/1.37 c_Orderings_Oord__class_Oless( tc_Nat_Onat, c_Groups_Ozero__class_Ozero(
% 0.85/1.37 tc_Nat_Onat ) ), Y ) ), hBOOL( hAPP( c_Orderings_Oord__class_Oless(
% 0.85/1.37 tc_Nat_Onat, c_Groups_Ozero__class_Ozero( tc_Nat_Onat ) ), X ) ) }.
% 0.85/1.37 { ! hBOOL( hAPP( c_Orderings_Oord__class_Oless( tc_Nat_Onat,
% 0.85/1.37 c_Groups_Ozero__class_Ozero( tc_Nat_Onat ) ), Y ) ), hBOOL( hAPP(
% 0.85/1.37 c_Orderings_Oord__class_Oless( tc_Nat_Onat, c_Groups_Ozero__class_Ozero(
% 0.85/1.37 tc_Nat_Onat ) ), hAPP( hAPP( c_Groups_Oplus__class_Oplus( tc_Nat_Onat ),
% 0.85/1.37 Y ), X ) ) ) }.
% 0.85/1.37 { ! hBOOL( hAPP( c_Orderings_Oord__class_Oless( tc_Nat_Onat,
% 0.85/1.37 c_Groups_Ozero__class_Ozero( tc_Nat_Onat ) ), X ) ), hBOOL( hAPP(
% 0.85/1.37 c_Orderings_Oord__class_Oless( tc_Nat_Onat, c_Groups_Ozero__class_Ozero(
% 0.85/1.37 tc_Nat_Onat ) ), hAPP( hAPP( c_Groups_Oplus__class_Oplus( tc_Nat_Onat ),
% 0.85/1.37 Y ), X ) ) ) }.
% 0.85/1.37 { ! class_Rings_Olinordered__semidom( X ), ! hBOOL( hAPP(
% 0.85/1.37 c_Orderings_Oord__class_Oless( X, c_Nat_Osemiring__1__class_Oof__nat( X,
% 0.85/1.37 Z ) ), c_Nat_Osemiring__1__class_Oof__nat( X, Y ) ) ), hBOOL( hAPP(
% 0.85/1.37 c_Orderings_Oord__class_Oless( tc_Nat_Onat, Z ), Y ) ) }.
% 0.85/1.37 { ! class_Rings_Olinordered__semidom( X ), ! hBOOL( hAPP(
% 0.85/1.37 c_Orderings_Oord__class_Oless( tc_Nat_Onat, Z ), Y ) ), hBOOL( hAPP(
% 0.85/1.37 c_Orderings_Oord__class_Oless( X, c_Nat_Osemiring__1__class_Oof__nat( X,
% 0.85/1.37 Z ) ), c_Nat_Osemiring__1__class_Oof__nat( X, Y ) ) ) }.
% 0.85/1.37 { ! class_Rings_Olinordered__semidom( X ), ! hBOOL( hAPP(
% 0.85/1.37 c_Orderings_Oord__class_Oless( tc_Nat_Onat, Z ), Y ) ), hBOOL( hAPP(
% 0.85/1.37 c_Orderings_Oord__class_Oless( X, c_Nat_Osemiring__1__class_Oof__nat( X,
% 0.85/1.37 Z ) ), c_Nat_Osemiring__1__class_Oof__nat( X, Y ) ) ) }.
% 0.85/1.37 { ! class_Rings_Olinordered__semidom( X ), ! hBOOL( hAPP(
% 0.85/1.37 c_Orderings_Oord__class_Oless( X, c_Nat_Osemiring__1__class_Oof__nat( X,
% 0.85/1.37 Z ) ), c_Nat_Osemiring__1__class_Oof__nat( X, Y ) ) ), hBOOL( hAPP(
% 0.85/1.37 c_Orderings_Oord__class_Oless( tc_Nat_Onat, Z ), Y ) ) }.
% 0.85/1.37 { ! class_Groups_Omonoid__add( X ), hAPP( hAPP( c_Groups_Oplus__class_Oplus
% 0.85/1.37 ( X ), Z ), hAPP( c_List_Ofoldl( X, X, c_Groups_Oplus__class_Oplus( X ),
% 0.85/1.37 c_Groups_Ozero__class_Ozero( X ) ), Y ) ) = hAPP( c_List_Ofoldl( X, X,
% 0.85/1.37 c_Groups_Oplus__class_Oplus( X ), Z ), Y ) }.
% 0.85/1.37 { hAPP( c_List_Onth( T, hAPP( hAPP( c_List_Olist_OCons( T ), Z ), Y ) ),
% 0.85/1.37 hAPP( c_Nat_OSuc, X ) ) = hAPP( c_List_Onth( T, Y ), X ) }.
% 0.85/1.37 { hAPP( c_Nat_Osize__class_Osize( tc_List_Olist( Z ) ), hAPP( hAPP(
% 0.85/1.37 c_List_Odrop( Z ), Y ), X ) ) = hAPP( hAPP( c_Groups_Ominus__class_Ominus
% 0.85/1.37 ( tc_Nat_Onat ), hAPP( c_Nat_Osize__class_Osize( tc_List_Olist( Z ) ), X
% 0.85/1.37 ) ), Y ) }.
% 0.85/1.37 { hAPP( c_Nat_Osize__class_Osize( tc_List_Olist( Z ) ), hAPP( hAPP(
% 0.85/1.37 c_List_Oappend( Z ), Y ), X ) ) = hAPP( hAPP( c_Groups_Oplus__class_Oplus
% 0.85/1.37 ( tc_Nat_Onat ), hAPP( c_Nat_Osize__class_Osize( tc_List_Olist( Z ) ), Y
% 0.85/1.37 ) ), hAPP( c_Nat_Osize__class_Osize( tc_List_Olist( Z ) ), X ) ) }.
% 0.85/1.37 { hAPP( hAPP( c_List_Odrop( T ), hAPP( c_Nat_OSuc, Z ) ), hAPP( hAPP(
% 0.85/1.37 c_List_Olist_OCons( T ), Y ), X ) ) = hAPP( hAPP( c_List_Odrop( T ), Z )
% 0.85/1.37 , X ) }.
% 0.85/1.37 { ! class_Groups_Omonoid__add( X ), hAPP(
% 0.85/1.37 c_List_Omonoid__add__class_Olistsum( X ), hAPP( hAPP( c_List_Olist_OCons
% 0.85/1.37 ( X ), Z ), Y ) ) = hAPP( hAPP( c_Groups_Oplus__class_Oplus( X ), Z ),
% 0.85/1.37 hAPP( c_List_Omonoid__add__class_Olistsum( X ), Y ) ) }.
% 0.85/1.37 { c_List_Oreplicate( Z, hAPP( c_Nat_OSuc, Y ), X ) = hAPP( hAPP(
% 0.85/1.37 c_List_Olist_OCons( Z ), X ), c_List_Oreplicate( Z, Y, X ) ) }.
% 0.85/1.37 { ! class_Groups_Omonoid__add( X ), hAPP(
% 0.85/1.37 c_List_Omonoid__add__class_Olistsum( X ), hAPP( hAPP( c_List_Oappend( X )
% 0.85/1.37 , Z ), Y ) ) = hAPP( hAPP( c_Groups_Oplus__class_Oplus( X ), hAPP(
% 0.85/1.37 c_List_Omonoid__add__class_Olistsum( X ), Z ) ), hAPP(
% 0.85/1.37 c_List_Omonoid__add__class_Olistsum( X ), Y ) ) }.
% 0.85/1.37 { ! class_Orderings_Olinorder( X ), hAPP( c_Nat_Osize__class_Osize(
% 0.85/1.37 tc_List_Olist( U ) ), hAPP( hAPP( c_List_Olinorder__class_Oinsort__key( U
% 0.85/1.37 , X, T ), Z ), Y ) ) = hAPP( c_Nat_OSuc, hAPP( c_Nat_Osize__class_Osize(
% 0.85/1.37 tc_List_Olist( U ) ), Y ) ) }.
% 0.85/1.37 { hAPP( hAPP( c_List_Odrop( T ), Z ), c_List_Oreplicate( T, Y, X ) ) =
% 0.85/1.37 c_List_Oreplicate( T, hAPP( hAPP( c_Groups_Ominus__class_Ominus(
% 0.85/1.37 tc_Nat_Onat ), Y ), Z ), X ) }.
% 0.85/1.37 { c_List_Oreplicate( T, hAPP( hAPP( c_Groups_Oplus__class_Oplus(
% 0.85/1.37 tc_Nat_Onat ), Z ), Y ), X ) = hAPP( hAPP( c_List_Oappend( T ),
% 0.85/1.37 c_List_Oreplicate( T, Z, X ) ), c_List_Oreplicate( T, Y, X ) ) }.
% 0.85/1.37 { hAPP( hAPP( c_List_Odrop( Z ), hAPP( c_Nat_OSuc, Y ) ), X ) = hAPP( hAPP
% 0.85/1.37 ( c_List_Odrop( Z ), Y ), c_List_Otl( Z, X ) ) }.
% 0.85/1.37 { ! class_Groups_Oab__semigroup__add( X ), c_List_Ofoldr( X, X,
% 0.85/1.37 c_Groups_Oplus__class_Oplus( X ), Z, Y ) = hAPP( c_List_Ofoldl( X, X,
% 0.85/1.37 c_Groups_Oplus__class_Oplus( X ), Y ), Z ) }.
% 0.85/1.37 { hAPP( c_Nat_Osize__class_Osize( tc_List_Olist( Z ) ), c_List_Osplice( Z,
% 0.85/1.37 Y, X ) ) = hAPP( hAPP( c_Groups_Oplus__class_Oplus( tc_Nat_Onat ), hAPP(
% 0.85/1.37 c_Nat_Osize__class_Osize( tc_List_Olist( Z ) ), Y ) ), hAPP(
% 0.85/1.37 c_Nat_Osize__class_Osize( tc_List_Olist( Z ) ), X ) ) }.
% 0.85/1.37 { hAPP( hAPP( c_List_Odrop( T ), Z ), hAPP( hAPP( c_List_Oappend( T ), Y )
% 0.85/1.37 , X ) ) = hAPP( hAPP( c_List_Oappend( T ), hAPP( hAPP( c_List_Odrop( T )
% 0.85/1.37 , Z ), Y ) ), hAPP( hAPP( c_List_Odrop( T ), hAPP( hAPP(
% 0.85/1.37 c_Groups_Ominus__class_Ominus( tc_Nat_Onat ), Z ), hAPP(
% 0.85/1.37 c_Nat_Osize__class_Osize( tc_List_Olist( T ) ), Y ) ) ), X ) ) }.
% 0.85/1.37 { hAPP( c_List_Onth( T, hAPP( hAPP( c_List_Oappend( T ), Z ), Y ) ), hAPP(
% 0.85/1.37 hAPP( c_Groups_Oplus__class_Oplus( tc_Nat_Onat ), hAPP(
% 0.85/1.37 c_Nat_Osize__class_Osize( tc_List_Olist( T ) ), Z ) ), X ) ) = hAPP(
% 0.85/1.37 c_List_Onth( T, Y ), X ) }.
% 0.85/1.37 { ! class_Groups_Omonoid__add( X ), c_List_Omonoid__add__class_Olistsum( X
% 0.85/1.37 ) = c_List_Ofoldl( X, X, c_Groups_Oplus__class_Oplus( X ),
% 0.85/1.37 c_Groups_Ozero__class_Ozero( X ) ) }.
% 0.85/1.37 { ! class_Groups_Omonoid__add( X ), hAPP( c_List_Ofoldl( X, X,
% 0.85/1.37 c_Groups_Oplus__class_Oplus( X ), Z ), Y ) = hAPP( hAPP(
% 0.85/1.37 c_Groups_Oplus__class_Oplus( X ), Z ), c_List_Ofoldr( X, X,
% 0.85/1.37 c_Groups_Oplus__class_Oplus( X ), Y, c_Groups_Ozero__class_Ozero( X ) ) )
% 0.85/1.37 }.
% 0.85/1.37 { ! class_Groups_Omonoid__add( X ), hAPP( c_List_Ofoldl( X, X,
% 0.85/1.37 c_Groups_Oplus__class_Oplus( X ), c_Groups_Ozero__class_Ozero( X ) ), Y )
% 0.85/1.37 = c_List_Ofoldr( X, X, c_Groups_Oplus__class_Oplus( X ), Y,
% 0.85/1.37 c_Groups_Ozero__class_Ozero( X ) ) }.
% 0.85/1.37 { ! class_Rings_Olinordered__idom( X ), ! hBOOL( hAPP(
% 0.85/1.37 c_Orderings_Oord__class_Oless( X, hAPP( hAPP( c_Groups_Oplus__class_Oplus
% 0.85/1.37 ( X ), Y ), Y ) ), c_Groups_Ozero__class_Ozero( X ) ) ), hBOOL( hAPP(
% 0.85/1.37 c_Orderings_Oord__class_Oless( X, Y ), c_Groups_Ozero__class_Ozero( X ) )
% 0.85/1.37 ) }.
% 0.85/1.37 { ! class_Rings_Olinordered__idom( X ), ! hBOOL( hAPP(
% 0.85/1.37 c_Orderings_Oord__class_Oless( X, Y ), c_Groups_Ozero__class_Ozero( X ) )
% 0.85/1.37 ), hBOOL( hAPP( c_Orderings_Oord__class_Oless( X, hAPP( hAPP(
% 0.85/1.37 c_Groups_Oplus__class_Oplus( X ), Y ), Y ) ), c_Groups_Ozero__class_Ozero
% 0.85/1.37 ( X ) ) ) }.
% 0.85/1.37 { ! class_Rings_Olinordered__semidom( X ), ! hBOOL( hAPP(
% 0.85/1.37 c_Orderings_Oord__class_Oless( X, c_Groups_Ozero__class_Ozero( X ) ), Y )
% 0.85/1.37 ), ! hBOOL( hAPP( c_Orderings_Oord__class_Oless( X, T ), Z ) ), hBOOL(
% 0.85/1.37 hAPP( c_Orderings_Oord__class_Oless( X, T ), hAPP( hAPP(
% 0.85/1.37 c_Groups_Oplus__class_Oplus( X ), Y ), Z ) ) ) }.
% 0.85/1.37 { ! hBOOL( hAPP( c_Orderings_Oord__class_Oless( tc_Nat_Onat, Z ), hAPP(
% 0.85/1.37 c_Nat_Osize__class_Osize( tc_List_Olist( Y ) ), X ) ) ), hAPP( hAPP(
% 0.85/1.37 c_List_Oappend( Y ), hAPP( hAPP( c_List_Otake( Y ), Z ), X ) ), hAPP(
% 0.85/1.37 hAPP( c_List_Olist_OCons( Y ), c_List_Ohd( Y, hAPP( hAPP( c_List_Odrop( Y
% 0.85/1.37 ), Z ), X ) ) ), c_List_Olist_ONil( Y ) ) ) = hAPP( hAPP( c_List_Otake(
% 0.85/1.37 Y ), hAPP( c_Nat_OSuc, Z ) ), X ) }.
% 0.85/1.37 { ! hBOOL( hAPP( c_Orderings_Oord__class_Oless( tc_Nat_Onat, Y ), X ) ),
% 0.85/1.37 hBOOL( hAPP( c_Orderings_Oord__class_Oless( tc_Nat_Onat, Y ), hAPP( hAPP
% 0.85/1.37 ( c_Groups_Oplus__class_Oplus( tc_Nat_Onat ), Z ), X ) ) ) }.
% 0.85/1.37 { ! hBOOL( hAPP( c_Orderings_Oord__class_Oless( tc_Int_Oint, Y ), X ) ), X
% 0.85/1.37 = hAPP( hAPP( c_Groups_Oplus__class_Oplus( tc_Int_Oint ), Y ),
% 0.85/1.37 c_Nat_Osemiring__1__class_Oof__nat( tc_Int_Oint, hAPP( c_Nat_OSuc, skol21
% 0.85/1.37 ( X, Y ) ) ) ) }.
% 0.85/1.37 { ! X = hAPP( hAPP( c_Groups_Oplus__class_Oplus( tc_Int_Oint ), Y ),
% 0.85/1.37 c_Nat_Osemiring__1__class_Oof__nat( tc_Int_Oint, hAPP( c_Nat_OSuc, Z ) )
% 0.85/1.37 ), hBOOL( hAPP( c_Orderings_Oord__class_Oless( tc_Int_Oint, Y ), X ) ) }
% 0.85/1.37 .
% 0.85/1.37 { hAPP( hAPP( c_Groups_Oplus__class_Oplus( tc_Int_Oint ),
% 0.85/1.37 c_Nat_Osemiring__1__class_Oof__nat( tc_Int_Oint, Y ) ),
% 0.85/1.37 c_Nat_Osemiring__1__class_Oof__nat( tc_Int_Oint, X ) ) =
% 0.85/1.37 c_Nat_Osemiring__1__class_Oof__nat( tc_Int_Oint, hAPP( hAPP(
% 0.85/1.37 c_Groups_Oplus__class_Oplus( tc_Nat_Onat ), Y ), X ) ) }.
% 0.85/1.37 { hAPP( hAPP( c_Groups_Oplus__class_Oplus( tc_Int_Oint ),
% 0.85/1.37 c_Nat_Osemiring__1__class_Oof__nat( tc_Int_Oint, Z ) ), hAPP( hAPP(
% 0.85/1.37 c_Groups_Oplus__class_Oplus( tc_Int_Oint ),
% 0.85/1.37 c_Nat_Osemiring__1__class_Oof__nat( tc_Int_Oint, Y ) ), X ) ) = hAPP(
% 0.85/1.37 hAPP( c_Groups_Oplus__class_Oplus( tc_Int_Oint ),
% 0.85/1.37 c_Nat_Osemiring__1__class_Oof__nat( tc_Int_Oint, hAPP( hAPP(
% 0.85/1.37 c_Groups_Oplus__class_Oplus( tc_Nat_Onat ), Z ), Y ) ) ), X ) }.
% 0.85/1.37 { hAPP( hAPP( c_List_Otake( Y ), X ), c_List_Olist_ONil( Y ) ) =
% 0.85/1.37 c_List_Olist_ONil( Y ) }.
% 0.85/1.37 { ! c_List_Odistinct( Y, X ), c_List_Odistinct( Y, hAPP( hAPP( c_List_Otake
% 0.85/1.37 ( Y ), Z ), X ) ) }.
% 0.85/1.37 { ! class_Orderings_Olinorder( X ), ! c_List_Olinorder__class_Osorted( X, Y
% 0.85/1.37 ), c_List_Olinorder__class_Osorted( X, hAPP( hAPP( c_List_Otake( X ), Z
% 0.85/1.37 ), Y ) ) }.
% 0.85/1.37 { hAPP( hAPP( c_List_Otake( Y ), c_Groups_Ozero__class_Ozero( tc_Nat_Onat )
% 0.85/1.37 ), X ) = c_List_Olist_ONil( Y ) }.
% 0.85/1.37 { ! hAPP( hAPP( c_List_Otake( Z ), Y ), X ) = c_List_Olist_ONil( Z ), Y =
% 0.85/1.37 c_Groups_Ozero__class_Ozero( tc_Nat_Onat ), X = c_List_Olist_ONil( Z ) }
% 0.85/1.37 .
% 0.85/1.37 { ! Y = c_Groups_Ozero__class_Ozero( tc_Nat_Onat ), hAPP( hAPP(
% 0.85/1.37 c_List_Otake( Z ), Y ), X ) = c_List_Olist_ONil( Z ) }.
% 0.85/1.37 { ! X = c_List_Olist_ONil( Z ), hAPP( hAPP( c_List_Otake( Z ), Y ), X ) =
% 0.85/1.37 c_List_Olist_ONil( Z ) }.
% 0.85/1.37 { hAPP( hAPP( c_List_Otake( T ), hAPP( c_Nat_OSuc, Z ) ), hAPP( hAPP(
% 0.85/1.37 c_List_Olist_OCons( T ), Y ), X ) ) = hAPP( hAPP( c_List_Olist_OCons( T )
% 0.85/1.37 , Y ), hAPP( hAPP( c_List_Otake( T ), Z ), X ) ) }.
% 0.85/1.37 { ! hBOOL( hAPP( c_Orderings_Oord__class_Oless( tc_Nat_Onat, Y ), X ) ),
% 0.85/1.37 hAPP( c_List_Onth( T, hAPP( hAPP( c_List_Otake( T ), X ), Z ) ), Y ) =
% 0.85/1.37 hAPP( c_List_Onth( T, Z ), Y ) }.
% 0.85/1.37 { hAPP( hAPP( c_List_Otake( T ), Z ), hAPP( hAPP( c_List_Odrop( T ), Y ), X
% 0.85/1.37 ) ) = hAPP( hAPP( c_List_Odrop( T ), Y ), hAPP( hAPP( c_List_Otake( T )
% 0.85/1.37 , hAPP( hAPP( c_Groups_Oplus__class_Oplus( tc_Nat_Onat ), Z ), Y ) ), X )
% 0.85/1.37 ) }.
% 0.85/1.37 { hAPP( hAPP( c_List_Odrop( T ), Z ), hAPP( hAPP( c_List_Otake( T ), Y ), X
% 0.85/1.37 ) ) = hAPP( hAPP( c_List_Otake( T ), hAPP( hAPP(
% 0.85/1.37 c_Groups_Ominus__class_Ominus( tc_Nat_Onat ), Y ), Z ) ), hAPP( hAPP(
% 0.85/1.37 c_List_Odrop( T ), Z ), X ) ) }.
% 0.85/1.37 { hAPP( hAPP( c_List_Oappend( Z ), hAPP( hAPP( c_List_Otake( Z ), Y ), X )
% 0.85/1.37 ), hAPP( hAPP( c_List_Odrop( Z ), Y ), X ) ) = X }.
% 0.85/1.37 { c_List_OtakeWhile( Z, Y, X ) = hAPP( hAPP( c_List_Otake( Z ), hAPP(
% 0.85/1.37 c_Nat_Osize__class_Osize( tc_List_Olist( Z ) ), c_List_OtakeWhile( Z, Y,
% 0.85/1.37 X ) ) ), X ) }.
% 0.85/1.37 { hAPP( hAPP( c_List_Otake( Z ), Y ), c_List_Otl( Z, X ) ) = c_List_Otl( Z
% 0.85/1.37 , hAPP( hAPP( c_List_Otake( Z ), hAPP( c_Nat_OSuc, Y ) ), X ) ) }.
% 0.85/1.37 { hAPP( hAPP( c_List_Otake( T ), Z ), hAPP( hAPP( c_List_Oappend( T ), Y )
% 0.85/1.37 , X ) ) = hAPP( hAPP( c_List_Oappend( T ), hAPP( hAPP( c_List_Otake( T )
% 0.85/1.37 , Z ), Y ) ), hAPP( hAPP( c_List_Otake( T ), hAPP( hAPP(
% 0.85/1.37 c_Groups_Ominus__class_Ominus( tc_Nat_Onat ), Z ), hAPP(
% 0.85/1.37 c_Nat_Osize__class_Osize( tc_List_Olist( T ) ), Y ) ) ), X ) ) }.
% 0.85/1.37 { ! hAPP( hAPP( c_List_Oappend( T ), Z ), Y ) = X, Z = hAPP( hAPP(
% 0.85/1.37 c_List_Otake( T ), hAPP( c_Nat_Osize__class_Osize( tc_List_Olist( T ) ),
% 0.85/1.37 Z ) ), X ) }.
% 0.85/1.37 { ! hAPP( hAPP( c_List_Oappend( T ), Z ), Y ) = X, Y = hAPP( hAPP(
% 0.85/1.37 c_List_Odrop( T ), hAPP( c_Nat_Osize__class_Osize( tc_List_Olist( T ) ),
% 0.85/1.37 Z ) ), X ) }.
% 0.85/1.37 { ! Z = hAPP( hAPP( c_List_Otake( T ), hAPP( c_Nat_Osize__class_Osize(
% 0.85/1.37 tc_List_Olist( T ) ), Z ) ), X ), ! Y = hAPP( hAPP( c_List_Odrop( T ),
% 0.85/1.37 hAPP( c_Nat_Osize__class_Osize( tc_List_Olist( T ) ), Z ) ), X ), hAPP(
% 0.85/1.37 hAPP( c_List_Oappend( T ), Z ), Y ) = X }.
% 0.85/1.37 { ! hBOOL( hAPP( c_Orderings_Oord__class_Oless( tc_Nat_Onat, Z ), hAPP(
% 0.85/1.37 c_Nat_Osize__class_Osize( tc_List_Olist( Y ) ), X ) ) ), hAPP( hAPP(
% 0.85/1.37 c_List_Otake( Y ), Z ), c_List_Obutlast( Y, X ) ) = hAPP( hAPP(
% 0.85/1.37 c_List_Otake( Y ), Z ), X ) }.
% 0.85/1.37 { ! class_Rings_Olinordered__idom( X ), Z = Y, hBOOL( hAPP(
% 0.85/1.37 c_Orderings_Oord__class_Oless( X, Z ), Y ) ), hBOOL( hAPP(
% 0.85/1.37 c_Orderings_Oord__class_Oless( X, Y ), Z ) ) }.
% 0.85/1.37 { ! c_Nat_Osemiring__1__class_Oof__nat( tc_Int_Oint, X ) =
% 0.85/1.37 c_Groups_Ozero__class_Ozero( tc_Int_Oint ), X =
% 0.85/1.37 c_Groups_Ozero__class_Ozero( tc_Nat_Onat ) }.
% 0.85/1.37 { ! X = c_Groups_Ozero__class_Ozero( tc_Nat_Onat ),
% 0.85/1.37 c_Nat_Osemiring__1__class_Oof__nat( tc_Int_Oint, X ) =
% 0.85/1.37 c_Groups_Ozero__class_Ozero( tc_Int_Oint ) }.
% 0.85/1.37 { c_Nat_Osemiring__1__class_Oof__nat( tc_Int_Oint,
% 0.85/1.37 c_Groups_Ozero__class_Ozero( tc_Nat_Onat ) ) =
% 0.85/1.37 c_Groups_Ozero__class_Ozero( tc_Int_Oint ) }.
% 0.85/1.37 { ! hBOOL( hAPP( c_Orderings_Oord__class_Oless( tc_Int_Oint,
% 0.85/1.37 c_Nat_Osemiring__1__class_Oof__nat( tc_Int_Oint, Y ) ),
% 0.85/1.37 c_Nat_Osemiring__1__class_Oof__nat( tc_Int_Oint, X ) ) ), hBOOL( hAPP(
% 0.85/1.37 c_Orderings_Oord__class_Oless( tc_Nat_Onat, Y ), X ) ) }.
% 0.85/1.37 { ! hBOOL( hAPP( c_Orderings_Oord__class_Oless( tc_Nat_Onat, Y ), X ) ),
% 0.85/1.37 hBOOL( hAPP( c_Orderings_Oord__class_Oless( tc_Int_Oint,
% 0.85/1.37 c_Nat_Osemiring__1__class_Oof__nat( tc_Int_Oint, Y ) ),
% 0.85/1.37 c_Nat_Osemiring__1__class_Oof__nat( tc_Int_Oint, X ) ) ) }.
% 0.85/1.37 { hAPP( hAPP( c_List_Otake( T ), Z ), hAPP( hAPP( c_List_Olist_OCons( T ),
% 0.85/1.37 Y ), X ) ) = c_Nat_Onat_Onat__case( tc_List_Olist( T ), c_List_Olist_ONil
% 0.85/1.37 ( T ), c_COMBB( tc_List_Olist( T ), tc_List_Olist( T ), tc_Nat_Onat, hAPP
% 0.85/1.37 ( c_List_Olist_OCons( T ), Y ), hAPP( c_COMBC( tc_Nat_Onat, tc_List_Olist
% 0.85/1.37 ( T ), tc_List_Olist( T ), c_List_Otake( T ) ), X ) ), Z ) }.
% 0.85/1.37 { c_List_Orev( Z, hAPP( hAPP( c_List_Odrop( Z ), Y ), X ) ) = hAPP( hAPP(
% 0.85/1.37 c_List_Otake( Z ), hAPP( hAPP( c_Groups_Ominus__class_Ominus( tc_Nat_Onat
% 0.85/1.37 ), hAPP( c_Nat_Osize__class_Osize( tc_List_Olist( Z ) ), X ) ), Y ) ),
% 0.85/1.37 c_List_Orev( Z, X ) ) }.
% 0.85/1.37 { c_List_Orev( Z, hAPP( hAPP( c_List_Otake( Z ), Y ), X ) ) = hAPP( hAPP(
% 0.85/1.37 c_List_Odrop( Z ), hAPP( hAPP( c_Groups_Ominus__class_Ominus( tc_Nat_Onat
% 0.85/1.37 ), hAPP( c_Nat_Osize__class_Osize( tc_List_Olist( Z ) ), X ) ), Y ) ),
% 0.85/1.37 c_List_Orev( Z, X ) ) }.
% 0.85/1.37 { Y = c_List_Olist_ONil( X ), hAPP( hAPP( c_List_Otake( X ), hAPP(
% 0.85/1.37 c_Nat_OSuc, Z ) ), Y ) = hAPP( hAPP( c_List_Olist_OCons( X ), c_List_Ohd
% 0.85/1.37 ( X, Y ) ), hAPP( hAPP( c_List_Otake( X ), Z ), c_List_Otl( X, Y ) ) ) }
% 0.85/1.37 .
% 0.85/1.37 { ! class_Groups_Olinordered__ab__group__add( X ), ! hAPP( hAPP(
% 0.85/1.37 c_Groups_Oplus__class_Oplus( X ), Y ), Y ) = c_Groups_Ozero__class_Ozero
% 0.85/1.37 ( X ), Y = c_Groups_Ozero__class_Ozero( X ) }.
% 0.85/1.37 { ! class_Groups_Olinordered__ab__group__add( X ), ! Y =
% 0.85/1.37 c_Groups_Ozero__class_Ozero( X ), hAPP( hAPP( c_Groups_Oplus__class_Oplus
% 0.85/1.37 ( X ), Y ), Y ) = c_Groups_Ozero__class_Ozero( X ) }.
% 0.85/1.37 { ! hBOOL( hAPP( c_Orderings_Oord__class_Oless( tc_Nat_Onat, Z ), hAPP(
% 0.85/1.37 c_Nat_Osize__class_Osize( tc_List_Olist( Y ) ), X ) ) ), hAPP( hAPP(
% 0.85/1.37 c_List_Otake( Y ), hAPP( c_Nat_OSuc, Z ) ), X ) = hAPP( hAPP(
% 0.85/1.37 c_List_Oappend( Y ), hAPP( hAPP( c_List_Otake( Y ), Z ), X ) ), hAPP(
% 0.85/1.37 hAPP( c_List_Olist_OCons( Y ), hAPP( c_List_Onth( Y, X ), Z ) ),
% 0.85/1.37 c_List_Olist_ONil( Y ) ) ) }.
% 0.85/1.37 { ! hBOOL( hAPP( c_Orderings_Oord__class_Oless( tc_Nat_Onat, Z ), hAPP(
% 0.85/1.37 c_Nat_Osize__class_Osize( tc_List_Olist( Y ) ), X ) ) ), X = hAPP( hAPP(
% 0.85/1.37 c_List_Oappend( Y ), hAPP( hAPP( c_List_Otake( Y ), Z ), X ) ), hAPP(
% 0.85/1.37 hAPP( c_List_Olist_OCons( Y ), hAPP( c_List_Onth( Y, X ), Z ) ), hAPP(
% 0.85/1.37 hAPP( c_List_Odrop( Y ), hAPP( c_Nat_OSuc, Z ) ), X ) ) ) }.
% 0.85/1.37 { ! hBOOL( hAPP( c_Orderings_Oord__class_Oless( tc_Int_Oint,
% 0.85/1.37 c_Groups_Ozero__class_Ozero( tc_Int_Oint ) ),
% 0.85/1.37 c_Nat_Osemiring__1__class_Oof__nat( tc_Int_Oint, X ) ) ), hBOOL( hAPP(
% 0.85/1.37 c_Orderings_Oord__class_Oless( tc_Nat_Onat, c_Groups_Ozero__class_Ozero(
% 0.85/1.37 tc_Nat_Onat ) ), X ) ) }.
% 0.85/1.37 { ! hBOOL( hAPP( c_Orderings_Oord__class_Oless( tc_Nat_Onat,
% 0.85/1.37 c_Groups_Ozero__class_Ozero( tc_Nat_Onat ) ), X ) ), hBOOL( hAPP(
% 0.85/1.37 c_Orderings_Oord__class_Oless( tc_Int_Oint, c_Groups_Ozero__class_Ozero(
% 0.85/1.37 tc_Int_Oint ) ), c_Nat_Osemiring__1__class_Oof__nat( tc_Int_Oint, X ) ) )
% 0.85/1.37 }.
% 0.85/1.37 { ! hBOOL( hAPP( c_Orderings_Oord__class_Oless( tc_Nat_Onat, Y ), X ) ),
% 0.85/1.37 hBOOL( hAPP( c_Orderings_Oord__class_Oless( tc_Nat_Onat, Y ), hAPP( hAPP
% 0.85/1.37 ( c_Groups_Oplus__class_Oplus( tc_Nat_Onat ), X ), Z ) ) ) }.
% 0.85/1.37 { ! hBOOL( hAPP( c_Orderings_Oord__class_Oless( tc_Nat_Onat, Z ), hAPP(
% 0.85/1.37 c_Nat_Osize__class_Osize( tc_List_Olist( Y ) ), X ) ) ), hAPP( hAPP(
% 0.85/1.37 c_List_Olist__update( Y, X ), Z ), T ) = hAPP( hAPP( c_List_Oappend( Y )
% 0.85/1.37 , hAPP( hAPP( c_List_Otake( Y ), Z ), X ) ), hAPP( hAPP(
% 0.85/1.37 c_List_Olist_OCons( Y ), T ), hAPP( hAPP( c_List_Odrop( Y ), hAPP(
% 0.85/1.37 c_Nat_OSuc, Z ) ), X ) ) ) }.
% 0.85/1.37 { ! class_Orderings_Olinorder( X ), ! hBOOL( hAPP(
% 0.85/1.37 c_Orderings_Oord__class_Oless( X, T ), hAPP( hAPP(
% 0.85/1.37 c_Orderings_Oord__class_Omax( X ), Z ), Y ) ) ), hBOOL( hAPP(
% 0.85/1.37 c_Orderings_Oord__class_Oless( X, T ), Z ) ), hBOOL( hAPP(
% 0.85/1.37 c_Orderings_Oord__class_Oless( X, T ), Y ) ) }.
% 0.85/1.37 { ! class_Orderings_Olinorder( X ), ! hBOOL( hAPP(
% 0.85/1.37 c_Orderings_Oord__class_Oless( X, T ), Z ) ), hBOOL( hAPP(
% 0.85/1.37 c_Orderings_Oord__class_Oless( X, T ), hAPP( hAPP(
% 0.85/1.37 c_Orderings_Oord__class_Omax( X ), Z ), Y ) ) ) }.
% 0.85/1.37 { ! class_Orderings_Olinorder( X ), ! hBOOL( hAPP(
% 0.85/1.37 c_Orderings_Oord__class_Oless( X, T ), Y ) ), hBOOL( hAPP(
% 0.85/1.37 c_Orderings_Oord__class_Oless( X, T ), hAPP( hAPP(
% 0.85/1.37 c_Orderings_Oord__class_Omax( X ), Z ), Y ) ) ) }.
% 0.85/1.37 { ! hBOOL( hAPP( c_Orderings_Oord__class_Oless( tc_Int_Oint, Y ), X ) ),
% 0.85/1.37 hBOOL( hAPP( c_Orderings_Oord__class_Oless( tc_Int_Oint, hAPP( hAPP(
% 0.85/1.37 c_Groups_Oplus__class_Oplus( tc_Int_Oint ), Y ), Z ) ), hAPP( hAPP(
% 0.85/1.37 c_Groups_Oplus__class_Oplus( tc_Int_Oint ), X ), Z ) ) ) }.
% 0.85/1.37 { hBOOL( hAPP( c_Orderings_Oord__class_Oless( tc_Int_Oint, Y ), X ) ), Y =
% 0.85/1.37 X, hBOOL( hAPP( c_Orderings_Oord__class_Oless( tc_Int_Oint, X ), Y ) ) }
% 0.85/1.37 .
% 0.85/1.37 { ! hBOOL( hAPP( c_Orderings_Oord__class_Oless( tc_Int_Oint, Y ), X ) ),
% 0.85/1.37 hBOOL( hAPP( c_Orderings_Oord__class_Oless( tc_Int_Oint, hAPP( hAPP(
% 0.85/1.37 c_Groups_Ominus__class_Ominus( tc_Int_Oint ), Y ), X ) ),
% 0.85/1.37 c_Groups_Ozero__class_Ozero( tc_Int_Oint ) ) ) }.
% 0.85/1.37 { ! hBOOL( hAPP( c_Orderings_Oord__class_Oless( tc_Int_Oint, hAPP( hAPP(
% 0.85/1.37 c_Groups_Ominus__class_Ominus( tc_Int_Oint ), Y ), X ) ),
% 0.85/1.37 c_Groups_Ozero__class_Ozero( tc_Int_Oint ) ) ), hBOOL( hAPP(
% 0.85/1.37 c_Orderings_Oord__class_Oless( tc_Int_Oint, Y ), X ) ) }.
% 0.85/1.37 { ! hBOOL( hAPP( c_Orderings_Oord__class_Oless( tc_Int_Oint,
% 0.85/1.37 c_Nat_Osemiring__1__class_Oof__nat( tc_Int_Oint, X ) ),
% 0.85/1.37 c_Groups_Ozero__class_Ozero( tc_Int_Oint ) ) ) }.
% 0.85/1.37 { ! hBOOL( hAPP( hAPP( c_HOL_Oequal__class_Oequal( tc_Int_Oint ), Y ), X )
% 0.85/1.37 ), hAPP( hAPP( c_Groups_Ominus__class_Ominus( tc_Int_Oint ), Y ), X ) =
% 0.85/1.37 c_Groups_Ozero__class_Ozero( tc_Int_Oint ) }.
% 0.85/1.37 { ! hAPP( hAPP( c_Groups_Ominus__class_Ominus( tc_Int_Oint ), Y ), X ) =
% 0.85/1.37 c_Groups_Ozero__class_Ozero( tc_Int_Oint ), hBOOL( hAPP( hAPP(
% 0.85/1.37 c_HOL_Oequal__class_Oequal( tc_Int_Oint ), Y ), X ) ) }.
% 0.85/1.37 { hAPP( hAPP( c_Groups_Oplus__class_Oplus( tc_Int_Oint ),
% 0.85/1.37 c_Groups_Ozero__class_Ozero( tc_Int_Oint ) ), X ) = X }.
% 0.85/1.37 { hAPP( hAPP( c_Groups_Oplus__class_Oplus( tc_Int_Oint ), X ),
% 0.85/1.37 c_Groups_Ozero__class_Ozero( tc_Int_Oint ) ) = X }.
% 0.85/1.37 { hAPP( hAPP( c_Groups_Oplus__class_Oplus( tc_Int_Oint ), Y ), X ) = hAPP(
% 0.85/1.37 hAPP( c_Groups_Oplus__class_Oplus( tc_Int_Oint ), X ), Y ) }.
% 0.85/1.37 { hAPP( hAPP( c_Groups_Oplus__class_Oplus( tc_Int_Oint ), Z ), hAPP( hAPP(
% 0.85/1.37 c_Groups_Oplus__class_Oplus( tc_Int_Oint ), Y ), X ) ) = hAPP( hAPP(
% 0.85/1.37 c_Groups_Oplus__class_Oplus( tc_Int_Oint ), Y ), hAPP( hAPP(
% 0.85/1.37 c_Groups_Oplus__class_Oplus( tc_Int_Oint ), Z ), X ) ) }.
% 0.85/1.37 { ! c_Nat_Osemiring__1__class_Oof__nat( tc_Int_Oint, Y ) =
% 0.85/1.37 c_Nat_Osemiring__1__class_Oof__nat( tc_Int_Oint, X ), Y = X }.
% 0.85/1.37 { ! Y = X, c_Nat_Osemiring__1__class_Oof__nat( tc_Int_Oint, Y ) =
% 0.85/1.37 c_Nat_Osemiring__1__class_Oof__nat( tc_Int_Oint, X ) }.
% 0.85/1.37 { hAPP( hAPP( c_Groups_Oplus__class_Oplus( tc_Int_Oint ), hAPP( hAPP(
% 0.85/1.37 c_Groups_Oplus__class_Oplus( tc_Int_Oint ), Z ), Y ) ), X ) = hAPP( hAPP
% 0.85/1.37 ( c_Groups_Oplus__class_Oplus( tc_Int_Oint ), Z ), hAPP( hAPP(
% 0.85/1.37 c_Groups_Oplus__class_Oplus( tc_Int_Oint ), Y ), X ) ) }.
% 0.85/1.37 { hAPP( c_Nat_Osize__class_Osize( tc_List_Olist( T ) ), hAPP( hAPP(
% 0.85/1.37 c_List_Olist__update( T, Z ), Y ), X ) ) = hAPP( c_Nat_Osize__class_Osize
% 0.85/1.37 ( tc_List_Olist( T ) ), Z ) }.
% 0.85/1.37 { ! hAPP( hAPP( c_List_Olist__update( T, Z ), Y ), X ) = c_List_Olist_ONil
% 0.85/1.37 ( T ), Z = c_List_Olist_ONil( T ) }.
% 0.85/1.37 { ! Z = c_List_Olist_ONil( T ), hAPP( hAPP( c_List_Olist__update( T, Z ), Y
% 0.85/1.37 ), X ) = c_List_Olist_ONil( T ) }.
% 0.85/1.37 { hAPP( hAPP( c_List_Olist__update( Z, c_List_Olist_ONil( Z ) ), Y ), X ) =
% 0.85/1.37 c_List_Olist_ONil( Z ) }.
% 0.85/1.37 { hAPP( hAPP( c_List_Olist__update( Z, c_List_Olist_ONil( Z ) ), Y ), X ) =
% 0.85/1.37 c_List_Olist_ONil( Z ) }.
% 0.85/1.37 { hAPP( hAPP( c_List_Olist__update( Z, Y ), X ), hAPP( c_List_Onth( Z, Y )
% 0.85/1.37 , X ) ) = Y }.
% 0.85/1.37 { Y = X, hAPP( c_List_Onth( U, hAPP( hAPP( c_List_Olist__update( U, T ), Y
% 0.85/1.37 ), Z ) ), X ) = hAPP( c_List_Onth( U, T ), X ) }.
% 0.85/1.37 { hAPP( hAPP( c_List_Olist__update( T, hAPP( hAPP( c_List_Olist_OCons( T )
% 0.85/1.37 , Z ), Y ) ), c_Groups_Ozero__class_Ozero( tc_Nat_Onat ) ), X ) = hAPP(
% 0.85/1.37 hAPP( c_List_Olist_OCons( T ), X ), Y ) }.
% 0.85/1.37 { hAPP( hAPP( c_List_Olist__update( U, hAPP( hAPP( c_List_Olist_OCons( U )
% 0.85/1.37 , T ), Z ) ), hAPP( c_Nat_OSuc, Y ) ), X ) = hAPP( hAPP(
% 0.85/1.37 c_List_Olist_OCons( U ), T ), hAPP( hAPP( c_List_Olist__update( U, Z ), Y
% 0.85/1.37 ), X ) ) }.
% 0.85/1.37 { Y = X, hAPP( hAPP( c_List_Olist__update( W, hAPP( hAPP(
% 0.85/1.37 c_List_Olist__update( W, U ), Y ), T ) ), X ), Z ) = hAPP( hAPP(
% 0.85/1.37 c_List_Olist__update( W, hAPP( hAPP( c_List_Olist__update( W, U ), X ), Z
% 0.85/1.37 ) ), Y ), T ) }.
% 0.85/1.37 { hAPP( hAPP( c_List_Olist__update( U, hAPP( hAPP( c_List_Olist__update( U
% 0.85/1.37 , T ), Z ), Y ) ), Z ), X ) = hAPP( hAPP( c_List_Olist__update( U, T ), Z
% 0.85/1.37 ), X ) }.
% 0.85/1.37 { ! class_Orderings_Opreorder( X ), ! hBOOL( hAPP(
% 0.85/1.37 c_Orderings_Oord__class_Oless( X, Y ), Y ) ) }.
% 0.85/1.37 { ! class_Orderings_Olinorder( X ), Z = Y, hBOOL( hAPP(
% 0.85/1.37 c_Orderings_Oord__class_Oless( X, Z ), Y ) ), hBOOL( hAPP(
% 0.85/1.37 c_Orderings_Oord__class_Oless( X, Y ), Z ) ) }.
% 0.85/1.37 { ! class_Orderings_Olinorder( X ), ! hBOOL( hAPP(
% 0.85/1.37 c_Orderings_Oord__class_Oless( X, Z ), Y ) ), ! Z = Y }.
% 0.85/1.37 { ! class_Orderings_Olinorder( X ), ! hBOOL( hAPP(
% 0.85/1.37 c_Orderings_Oord__class_Oless( X, Y ), Z ) ), ! Z = Y }.
% 0.85/1.37 { ! class_Orderings_Olinorder( X ), hBOOL( hAPP(
% 0.85/1.37 c_Orderings_Oord__class_Oless( X, Z ), Y ) ), hBOOL( hAPP(
% 0.85/1.37 c_Orderings_Oord__class_Oless( X, Y ), Z ) ), Z = Y }.
% 0.85/1.37 { ! class_Orderings_Olinorder( X ), ! hBOOL( hAPP(
% 0.85/1.37 c_Orderings_Oord__class_Oless( X, Y ), Z ) ), ! hBOOL( hAPP(
% 0.85/1.37 c_Orderings_Oord__class_Oless( X, Z ), Y ) ) }.
% 0.85/1.37 { ! class_Orderings_Olinorder( X ), ! Z = Y, ! hBOOL( hAPP(
% 0.85/1.37 c_Orderings_Oord__class_Oless( X, Z ), Y ) ) }.
% 0.85/1.37 { ! class_Orderings_Olinorder( X ), hBOOL( hAPP(
% 0.85/1.37 c_Orderings_Oord__class_Oless( X, Z ), Y ) ), Z = Y, hBOOL( hAPP(
% 0.85/1.37 c_Orderings_Oord__class_Oless( X, Y ), Z ) ) }.
% 0.85/1.37 { ! class_Orderings_Olinorder( X ), hBOOL( hAPP(
% 0.85/1.37 c_Orderings_Oord__class_Oless( X, Z ), Y ) ), hBOOL( hAPP(
% 0.85/1.37 c_Orderings_Oord__class_Oless( X, Y ), Z ) ), Y = Z }.
% 0.85/1.37 { ! class_Orderings_Olinorder( X ), hBOOL( hAPP(
% 0.85/1.37 c_Orderings_Oord__class_Oless( X, Z ), Y ) ), ! Y = Z, ! hBOOL( hAPP(
% 0.85/1.37 c_Orderings_Oord__class_Oless( X, Y ), Z ) ) }.
% 0.85/1.37 { ! class_Orderings_Olinorder( X ), Z = Y, hBOOL( hAPP(
% 0.85/1.37 c_Orderings_Oord__class_Oless( X, Z ), Y ) ), hBOOL( hAPP(
% 0.85/1.37 c_Orderings_Oord__class_Oless( X, Y ), Z ) ) }.
% 0.85/1.37 { ! class_Orderings_Oorder( X ), ! hBOOL( hAPP(
% 0.85/1.37 c_Orderings_Oord__class_Oless( X, Z ), Y ) ), ! Z = Y }.
% 0.85/1.37 { ! class_Orderings_Opreorder( X ), ! hBOOL( hAPP(
% 0.85/1.37 c_Orderings_Oord__class_Oless( X, Z ), Y ) ), ! hBOOL( hAPP(
% 0.85/1.37 c_Orderings_Oord__class_Oless( X, Y ), Z ) ) }.
% 0.85/1.37 { ! class_Orderings_Opreorder( X ), ! hBOOL( hAPP(
% 0.85/1.37 c_Orderings_Oord__class_Oless( X, Z ), Y ) ), ! hBOOL( hAPP(
% 0.85/1.37 c_Orderings_Oord__class_Oless( X, Y ), Z ) ) }.
% 0.85/1.37 { ! class_Orderings_Oorder( X ), ! hBOOL( hAPP(
% 0.85/1.37 c_Orderings_Oord__class_Oless( X, Z ), Y ) ), ! Z = Y }.
% 0.85/1.37 { ! class_Orderings_Oorder( X ), ! hBOOL( hAPP(
% 0.85/1.37 c_Orderings_Oord__class_Oless( X, Z ), Y ) ), ! Y = Z }.
% 0.85/1.37 { ! class_Orderings_Opreorder( X ), ! hBOOL( hAPP(
% 0.85/1.37 c_Orderings_Oord__class_Oless( X, Z ), Y ) ), ! hBOOL( hAPP(
% 0.85/1.37 c_Orderings_Oord__class_Oless( X, Y ), Z ) ) }.
% 0.85/1.37 { ! class_Orderings_Oorder( X ), ! hBOOL( hAPP(
% 0.85/1.37 c_Orderings_Oord__class_Oless( X, Z ), Y ) ), ! hBOOL( hAPP(
% 0.85/1.37 c_Orderings_Oord__class_Oless( X, Y ), Z ) ) }.
% 0.85/1.37 { ! class_Orderings_Oord( X ), ! Z = Y, ! hBOOL( hAPP(
% 0.85/1.37 c_Orderings_Oord__class_Oless( X, Y ), T ) ), hBOOL( hAPP(
% 0.85/1.37 c_Orderings_Oord__class_Oless( X, Z ), T ) ) }.
% 0.85/1.37 { ! class_Orderings_Oorder( X ), ! Z = Y, ! hBOOL( hAPP(
% 0.85/1.37 c_Orderings_Oord__class_Oless( X, T ), Y ) ), hBOOL( hAPP(
% 0.85/1.37 c_Orderings_Oord__class_Oless( X, T ), Z ) ) }.
% 0.85/1.37 { ! class_Orderings_Oord( X ), ! hBOOL( hAPP( c_Orderings_Oord__class_Oless
% 0.85/1.37 ( X, Z ), Y ) ), ! Y = T, hBOOL( hAPP( c_Orderings_Oord__class_Oless( X,
% 0.85/1.37 Z ), T ) ) }.
% 0.85/1.37 { ! class_Orderings_Oorder( X ), ! hBOOL( hAPP(
% 0.85/1.37 c_Orderings_Oord__class_Oless( X, Z ), Y ) ), ! Z = T, hBOOL( hAPP(
% 0.85/1.37 c_Orderings_Oord__class_Oless( X, T ), Y ) ) }.
% 0.85/1.37 { ! class_Orderings_Opreorder( X ), ! hBOOL( hAPP(
% 0.85/1.37 c_Orderings_Oord__class_Oless( X, Z ), Y ) ), ! hBOOL( hAPP(
% 0.85/1.37 c_Orderings_Oord__class_Oless( X, Y ), T ) ), hBOOL( hAPP(
% 0.85/1.37 c_Orderings_Oord__class_Oless( X, Z ), T ) ) }.
% 0.85/1.37 { ! class_Orderings_Oorder( X ), ! hBOOL( hAPP(
% 0.85/1.37 c_Orderings_Oord__class_Oless( X, Z ), Y ) ), ! hBOOL( hAPP(
% 0.85/1.37 c_Orderings_Oord__class_Oless( X, T ), Z ) ), hBOOL( hAPP(
% 0.85/1.37 c_Orderings_Oord__class_Oless( X, T ), Y ) ) }.
% 0.85/1.37 { ! class_Orderings_Opreorder( X ), ! hBOOL( hAPP(
% 0.85/1.37 c_Orderings_Oord__class_Oless( X, Z ), Y ) ), ! hBOOL( hAPP(
% 0.85/1.37 c_Orderings_Oord__class_Oless( X, Y ), Z ) ) }.
% 0.85/1.37 { ! class_Orderings_Olinorder( X ), hBOOL( hAPP(
% 0.85/1.37 c_Orderings_Oord__class_Oless( X, Z ), Y ) ), Z = Y, hBOOL( hAPP(
% 0.85/1.37 c_Orderings_Oord__class_Oless( X, Y ), Z ) ) }.
% 0.85/1.37 { ! hBOOL( hAPP( c_Orderings_Oord__class_Oless( tc_Nat_Onat, Y ), hAPP(
% 0.85/1.37 c_Nat_Osize__class_Osize( tc_List_Olist( tc_Nat_Onat ) ), X ) ) ), hAPP(
% 0.85/1.37 c_List_Omonoid__add__class_Olistsum( tc_Nat_Onat ), hAPP( hAPP(
% 0.85/1.37 c_List_Olist__update( tc_Nat_Onat, X ), Y ), Z ) ) = hAPP( hAPP(
% 0.85/1.37 c_Groups_Ominus__class_Ominus( tc_Nat_Onat ), hAPP( hAPP(
% 0.85/1.37 c_Groups_Oplus__class_Oplus( tc_Nat_Onat ), hAPP(
% 0.85/1.37 c_List_Omonoid__add__class_Olistsum( tc_Nat_Onat ), X ) ), Z ) ), hAPP(
% 0.85/1.37 c_List_Onth( tc_Nat_Onat, X ), Y ) ) }.
% 0.85/1.37 { ! hBOOL( hAPP( c_Orderings_Oord__class_Oless( tc_Nat_Onat, Z ), hAPP(
% 0.85/1.37 c_Nat_Osize__class_Osize( tc_List_Olist( Y ) ), X ) ) ), hAPP( hAPP(
% 0.85/1.37 c_List_Olist__update( Y, hAPP( hAPP( c_List_Oappend( Y ), X ), U ) ), Z )
% 0.85/1.37 , T ) = hAPP( hAPP( c_List_Oappend( Y ), hAPP( hAPP( c_List_Olist__update
% 0.85/1.37 ( Y, X ), Z ), T ) ), U ) }.
% 0.85/1.37 { hAPP( hAPP( c_List_Olist__update( U, hAPP( hAPP( c_List_Oappend( U ), T )
% 0.85/1.37 , hAPP( hAPP( c_List_Olist_OCons( U ), Z ), Y ) ) ), hAPP(
% 0.85/1.37 c_Nat_Osize__class_Osize( tc_List_Olist( U ) ), T ) ), X ) = hAPP( hAPP(
% 0.85/1.37 c_List_Oappend( U ), T ), hAPP( hAPP( c_List_Olist_OCons( U ), X ), Y ) )
% 0.85/1.37 }.
% 0.85/1.37 { ! hBOOL( hAPP( c_Orderings_Oord__class_Oless( tc_Nat_Onat, Z ), hAPP(
% 0.85/1.37 c_Nat_Osize__class_Osize( tc_List_Olist( Y ) ), X ) ) ), hAPP(
% 0.85/1.37 c_List_Onth( Y, hAPP( hAPP( c_List_Olist__update( Y, X ), Z ), T ) ), Z )
% 0.85/1.37 = T }.
% 0.85/1.37 { ! hBOOL( hAPP( c_Orderings_Oord__class_Oless( tc_Nat_Onat, Z ), hAPP(
% 0.85/1.37 c_Nat_Osize__class_Osize( tc_List_Olist( Y ) ), X ) ) ), ! hAPP( hAPP(
% 0.85/1.37 c_List_Olist__update( Y, X ), Z ), T ) = X, hAPP( c_List_Onth( Y, X ), Z
% 0.85/1.37 ) = T }.
% 0.85/1.37 { ! hBOOL( hAPP( c_Orderings_Oord__class_Oless( tc_Nat_Onat, Z ), hAPP(
% 0.85/1.37 c_Nat_Osize__class_Osize( tc_List_Olist( Y ) ), X ) ) ), ! hAPP(
% 0.85/1.37 c_List_Onth( Y, X ), Z ) = T, hAPP( hAPP( c_List_Olist__update( Y, X ), Z
% 0.85/1.37 ), T ) = X }.
% 0.85/1.37 { ! hBOOL( hAPP( c_Orderings_Oord__class_Oless( tc_Nat_Onat, Z ), hAPP(
% 0.85/1.37 c_Nat_Osize__class_Osize( tc_List_Olist( Y ) ), X ) ) ), ! Z = U, hAPP(
% 0.85/1.37 c_List_Onth( Y, hAPP( hAPP( c_List_Olist__update( Y, X ), Z ), T ) ), U )
% 0.85/1.37 = T }.
% 0.85/1.37 { ! hBOOL( hAPP( c_Orderings_Oord__class_Oless( tc_Nat_Onat, Z ), hAPP(
% 0.85/1.37 c_Nat_Osize__class_Osize( tc_List_Olist( Y ) ), X ) ) ), Z = U, hAPP(
% 0.85/1.37 c_List_Onth( Y, hAPP( hAPP( c_List_Olist__update( Y, X ), Z ), T ) ), U )
% 0.85/1.37 = hAPP( c_List_Onth( Y, X ), U ) }.
% 0.85/1.37 { hAPP( hAPP( c_List_Olist__update( U, hAPP( hAPP( c_List_Olist_OCons( U )
% 0.85/1.37 , T ), Z ) ), Y ), X ) = c_Nat_Onat_Onat__case( tc_List_Olist( U ), hAPP
% 0.85/1.37 ( hAPP( c_List_Olist_OCons( U ), X ), Z ), c_COMBB( tc_List_Olist( U ),
% 0.85/1.37 tc_List_Olist( U ), tc_Nat_Onat, hAPP( c_List_Olist_OCons( U ), T ), hAPP
% 0.85/1.37 ( c_COMBC( tc_Nat_Onat, U, tc_List_Olist( U ), c_List_Olist__update( U, Z
% 0.85/1.37 ) ), X ) ), Y ) }.
% 0.85/1.37 { ! hBOOL( hAPP( c_Orderings_Oord__class_Oless( tc_Nat_Onat, U ), hAPP(
% 0.85/1.37 c_Nat_Osize__class_Osize( tc_List_Olist( T ) ), Z ) ) ), hAPP( hAPP(
% 0.85/1.37 c_List_Olist__update( T, hAPP( hAPP( c_List_Oappend( T ), Z ), Y ) ), U )
% 0.85/1.37 , X ) = hAPP( hAPP( c_List_Oappend( T ), hAPP( hAPP( c_List_Olist__update
% 0.85/1.37 ( T, Z ), U ), X ) ), Y ) }.
% 0.85/1.37 { hBOOL( hAPP( c_Orderings_Oord__class_Oless( tc_Nat_Onat, U ), hAPP(
% 0.85/1.37 c_Nat_Osize__class_Osize( tc_List_Olist( T ) ), Z ) ) ), hAPP( hAPP(
% 0.85/1.37 c_List_Olist__update( T, hAPP( hAPP( c_List_Oappend( T ), Z ), Y ) ), U )
% 0.85/1.37 , X ) = hAPP( hAPP( c_List_Oappend( T ), Z ), hAPP( hAPP(
% 0.85/1.37 c_List_Olist__update( T, Y ), hAPP( hAPP( c_Groups_Ominus__class_Ominus(
% 0.85/1.37 tc_Nat_Onat ), U ), hAPP( c_Nat_Osize__class_Osize( tc_List_Olist( T ) )
% 0.85/1.37 , Z ) ) ), X ) ) }.
% 0.85/1.37 { ! class_Orderings_Olinorder( X ), ! hBOOL( hAPP(
% 0.85/1.37 c_Orderings_Oord__class_Oless( X, hAPP( hAPP(
% 0.85/1.37 c_Orderings_Oord__class_Omax( X ), T ), Z ) ), Y ) ), hBOOL( hAPP(
% 0.85/1.37 c_Orderings_Oord__class_Oless( X, T ), Y ) ) }.
% 0.85/1.37 { ! class_Orderings_Olinorder( X ), ! hBOOL( hAPP(
% 0.85/1.37 c_Orderings_Oord__class_Oless( X, hAPP( hAPP(
% 0.85/1.37 c_Orderings_Oord__class_Omax( X ), T ), Z ) ), Y ) ), hBOOL( hAPP(
% 0.85/1.37 c_Orderings_Oord__class_Oless( X, Z ), Y ) ) }.
% 0.85/1.37 { ! class_Orderings_Olinorder( X ), ! hBOOL( hAPP(
% 0.85/1.37 c_Orderings_Oord__class_Oless( X, T ), Y ) ), ! hBOOL( hAPP(
% 0.85/1.37 c_Orderings_Oord__class_Oless( X, Z ), Y ) ), hBOOL( hAPP(
% 0.85/1.37 c_Orderings_Oord__class_Oless( X, hAPP( hAPP(
% 0.85/1.37 c_Orderings_Oord__class_Omax( X ), T ), Z ) ), Y ) ) }.
% 0.85/1.37 { hAPP( hAPP( c_Groups_Oplus__class_Oplus( tc_Int_Oint ),
% 0.85/1.37 c_Nat_Osemiring__1__class_Oof__nat( tc_Int_Oint, Y ) ),
% 0.85/1.37 c_Nat_Osemiring__1__class_Oof__nat( tc_Int_Oint, X ) ) =
% 0.85/1.37 c_Nat_Osemiring__1__class_Oof__nat( tc_Int_Oint, hAPP( hAPP(
% 0.85/1.37 c_Groups_Oplus__class_Oplus( tc_Nat_Onat ), Y ), X ) ) }.
% 0.85/1.37 { ! hBOOL( hAPP( c_Orderings_Oord__class_Oless( tc_Int_Oint,
% 0.85/1.37 c_Nat_Osemiring__1__class_Oof__nat( tc_Int_Oint, Y ) ),
% 0.85/1.37 c_Nat_Osemiring__1__class_Oof__nat( tc_Int_Oint, X ) ) ), hBOOL( hAPP(
% 0.85/1.37 c_Orderings_Oord__class_Oless( tc_Nat_Onat, Y ), X ) ) }.
% 0.85/1.37 { ! hBOOL( hAPP( c_Orderings_Oord__class_Oless( tc_Nat_Onat, Y ), X ) ),
% 0.85/1.37 hBOOL( hAPP( c_Orderings_Oord__class_Oless( tc_Int_Oint,
% 0.85/1.37 c_Nat_Osemiring__1__class_Oof__nat( tc_Int_Oint, Y ) ),
% 0.85/1.37 c_Nat_Osemiring__1__class_Oof__nat( tc_Int_Oint, X ) ) ) }.
% 0.85/1.37 { hBOOL( hAPP( hAPP( c_HOL_Oequal__class_Oequal( tc_Int_Oint ), X ), X ) )
% 0.85/1.37 }.
% 0.85/1.37 { ! c_Nat_Osemiring__1__class_Oof__nat( tc_Int_Oint, Y ) =
% 0.85/1.37 c_Nat_Osemiring__1__class_Oof__nat( tc_Int_Oint, X ), Y = X }.
% 0.85/1.37 { ! Y = X, c_Nat_Osemiring__1__class_Oof__nat( tc_Int_Oint, Y ) =
% 0.85/1.37 c_Nat_Osemiring__1__class_Oof__nat( tc_Int_Oint, X ) }.
% 0.85/1.37 { c_Groups_Ozero__class_Ozero( tc_Int_Oint ) =
% 0.85/1.37 c_Nat_Osemiring__1__class_Oof__nat( tc_Int_Oint,
% 0.85/1.37 c_Groups_Ozero__class_Ozero( tc_Nat_Onat ) ) }.
% 0.85/1.37 { ! class_Orderings_Olinorder( X ), ! hBOOL( hAPP(
% 0.85/1.37 c_Orderings_Oord__class_Oless( X, Z ), Y ) ), hBOOL( hAPP(
% 0.85/1.37 c_Orderings_Oord__class_Oless( X, Z ), hAPP( hAPP(
% 0.85/1.37 c_Orderings_Oord__class_Omax( X ), Y ), T ) ) ) }.
% 0.85/1.37 { ! class_Orderings_Olinorder( X ), ! hBOOL( hAPP(
% 0.85/1.37 c_Orderings_Oord__class_Oless( X, Z ), Y ) ), hBOOL( hAPP(
% 0.85/1.37 c_Orderings_Oord__class_Oless( X, Z ), hAPP( hAPP(
% 0.85/1.37 c_Orderings_Oord__class_Omax( X ), T ), Y ) ) ) }.
% 0.85/1.37 { ! class_Groups_Ominus( X ), hAPP( hAPP( hAPP(
% 0.85/1.37 c_Groups_Ominus__class_Ominus( tc_fun( U, X ) ), T ), Z ), Y ) = hAPP(
% 0.85/1.37 hAPP( c_Groups_Ominus__class_Ominus( X ), hAPP( T, Y ) ), hAPP( Z, Y ) )
% 0.85/1.37 }.
% 0.85/1.37 { ! class_Orderings_Olinorder( X ), hAPP( hAPP(
% 0.85/1.37 c_Orderings_Oord__class_Omax( X ), Y ), Y ) = Y }.
% 0.85/1.37 { ! class_Orderings_Olinorder( X ), hAPP( hAPP(
% 0.85/1.37 c_Orderings_Oord__class_Omax( X ), Z ), Y ) = hAPP( hAPP(
% 0.85/1.37 c_Orderings_Oord__class_Omax( X ), Y ), Z ) }.
% 0.85/1.37 { ! class_Orderings_Olinorder( X ), hAPP( hAPP(
% 0.85/1.37 c_Orderings_Oord__class_Omax( X ), Z ), Y ) = hAPP( hAPP(
% 0.85/1.37 c_Orderings_Oord__class_Omax( X ), Y ), Z ) }.
% 0.85/1.37 { ! class_Orderings_Olinorder( X ), hAPP( hAPP(
% 0.85/1.37 c_Orderings_Oord__class_Omax( X ), Z ), hAPP( hAPP(
% 0.85/1.37 c_Orderings_Oord__class_Omax( X ), Z ), Y ) ) = hAPP( hAPP(
% 0.85/1.37 c_Orderings_Oord__class_Omax( X ), Z ), Y ) }.
% 0.85/1.37 { ! class_Orderings_Olinorder( X ), hAPP( hAPP(
% 0.85/1.37 c_Orderings_Oord__class_Omax( X ), Z ), hAPP( hAPP(
% 0.85/1.37 c_Orderings_Oord__class_Omax( X ), Z ), Y ) ) = hAPP( hAPP(
% 0.85/1.37 c_Orderings_Oord__class_Omax( X ), Z ), Y ) }.
% 0.85/1.37 { ! class_Orderings_Olinorder( X ), hAPP( hAPP(
% 0.85/1.37 c_Orderings_Oord__class_Omax( X ), T ), hAPP( hAPP(
% 0.85/1.37 c_Orderings_Oord__class_Omax( X ), Z ), Y ) ) = hAPP( hAPP(
% 0.85/1.37 c_Orderings_Oord__class_Omax( X ), Z ), hAPP( hAPP(
% 0.85/1.37 c_Orderings_Oord__class_Omax( X ), T ), Y ) ) }.
% 0.85/1.37 { ! class_Orderings_Olinorder( X ), hAPP( hAPP(
% 0.85/1.37 c_Orderings_Oord__class_Omax( X ), T ), hAPP( hAPP(
% 0.85/1.37 c_Orderings_Oord__class_Omax( X ), Z ), Y ) ) = hAPP( hAPP(
% 0.85/1.37 c_Orderings_Oord__class_Omax( X ), Z ), hAPP( hAPP(
% 0.85/1.37 c_Orderings_Oord__class_Omax( X ), T ), Y ) ) }.
% 0.85/1.37 { ! class_Orderings_Olinorder( X ), hAPP( hAPP(
% 0.85/1.37 c_Orderings_Oord__class_Omax( X ), hAPP( hAPP(
% 0.85/1.37 c_Orderings_Oord__class_Omax( X ), T ), Z ) ), Y ) = hAPP( hAPP(
% 0.85/1.37 c_Orderings_Oord__class_Omax( X ), T ), hAPP( hAPP(
% 0.85/1.37 c_Orderings_Oord__class_Omax( X ), Z ), Y ) ) }.
% 0.85/1.37 { ! class_Orderings_Olinorder( X ), hAPP( hAPP(
% 0.85/1.37 c_Orderings_Oord__class_Omax( X ), hAPP( hAPP(
% 0.85/1.37 c_Orderings_Oord__class_Omax( X ), T ), Z ) ), Y ) = hAPP( hAPP(
% 0.85/1.37 c_Orderings_Oord__class_Omax( X ), T ), hAPP( hAPP(
% 0.85/1.37 c_Orderings_Oord__class_Omax( X ), Z ), Y ) ) }.
% 0.85/1.37 { ! class_Groups_Ominus( X ), hAPP( hAPP( hAPP(
% 0.85/1.37 c_Groups_Ominus__class_Ominus( tc_fun( U, X ) ), T ), Z ), Y ) = hAPP(
% 0.85/1.37 hAPP( c_Groups_Ominus__class_Ominus( X ), hAPP( T, Y ) ), hAPP( Z, Y ) )
% 0.85/1.37 }.
% 0.85/1.37 { ! class_Rings_Ocomm__semiring__1( X ), hAPP( hAPP(
% 0.85/1.37 c_Groups_Oplus__class_Oplus( X ), c_Groups_Ozero__class_Ozero( X ) ), Y )
% 0.85/1.37 = Y }.
% 0.85/1.37 { ! class_Rings_Ocomm__semiring__1( X ), hAPP( hAPP(
% 0.85/1.37 c_Groups_Oplus__class_Oplus( X ), Y ), c_Groups_Ozero__class_Ozero( X ) )
% 0.85/1.37 = Y }.
% 0.85/1.37 { ! class_Rings_Ocomm__semiring__1( X ), hAPP( hAPP(
% 0.85/1.37 c_Groups_Oplus__class_Oplus( X ), hAPP( hAPP( c_Groups_Oplus__class_Oplus
% 0.85/1.37 ( X ), U ), T ) ), hAPP( hAPP( c_Groups_Oplus__class_Oplus( X ), Z ), Y )
% 0.85/1.37 ) = hAPP( hAPP( c_Groups_Oplus__class_Oplus( X ), hAPP( hAPP(
% 0.85/1.37 c_Groups_Oplus__class_Oplus( X ), U ), Z ) ), hAPP( hAPP(
% 0.85/1.37 c_Groups_Oplus__class_Oplus( X ), T ), Y ) ) }.
% 0.85/1.37 { ! class_Rings_Ocomm__semiring__1( X ), hAPP( hAPP(
% 0.85/1.37 c_Groups_Oplus__class_Oplus( X ), hAPP( hAPP( c_Groups_Oplus__class_Oplus
% 0.85/1.37 ( X ), T ), Z ) ), Y ) = hAPP( hAPP( c_Groups_Oplus__class_Oplus( X ),
% 0.85/1.37 hAPP( hAPP( c_Groups_Oplus__class_Oplus( X ), T ), Y ) ), Z ) }.
% 0.85/1.37 { ! class_Rings_Ocomm__semiring__1( X ), hAPP( hAPP(
% 0.85/1.37 c_Groups_Oplus__class_Oplus( X ), hAPP( hAPP( c_Groups_Oplus__class_Oplus
% 0.85/1.37 ( X ), T ), Z ) ), Y ) = hAPP( hAPP( c_Groups_Oplus__class_Oplus( X ), T
% 0.85/1.37 ), hAPP( hAPP( c_Groups_Oplus__class_Oplus( X ), Z ), Y ) ) }.
% 0.85/1.37 { ! class_Rings_Ocomm__semiring__1( X ), hAPP( hAPP(
% 0.85/1.37 c_Groups_Oplus__class_Oplus( X ), T ), hAPP( hAPP(
% 0.85/1.37 c_Groups_Oplus__class_Oplus( X ), Z ), Y ) ) = hAPP( hAPP(
% 0.85/1.37 c_Groups_Oplus__class_Oplus( X ), hAPP( hAPP( c_Groups_Oplus__class_Oplus
% 0.85/1.37 ( X ), T ), Z ) ), Y ) }.
% 0.85/1.37 { ! class_Rings_Ocomm__semiring__1( X ), hAPP( hAPP(
% 0.85/1.37 c_Groups_Oplus__class_Oplus( X ), T ), hAPP( hAPP(
% 0.85/1.37 c_Groups_Oplus__class_Oplus( X ), Z ), Y ) ) = hAPP( hAPP(
% 0.85/1.37 c_Groups_Oplus__class_Oplus( X ), Z ), hAPP( hAPP(
% 0.85/1.37 c_Groups_Oplus__class_Oplus( X ), T ), Y ) ) }.
% 0.85/1.37 { ! class_Rings_Ocomm__semiring__1( X ), hAPP( hAPP(
% 0.85/1.37 c_Groups_Oplus__class_Oplus( X ), Z ), Y ) = hAPP( hAPP(
% 0.85/1.37 c_Groups_Oplus__class_Oplus( X ), Y ), Z ) }.
% 0.85/1.37 { ! class_Semiring__Normalization_Ocomm__semiring__1__cancel__crossproduct
% 0.85/1.37 ( X ), ! Z = hAPP( hAPP( c_Groups_Oplus__class_Oplus( X ), Z ), Y ), Y =
% 0.85/1.37 c_Groups_Ozero__class_Ozero( X ) }.
% 0.85/1.37 { ! class_Semiring__Normalization_Ocomm__semiring__1__cancel__crossproduct
% 0.85/1.37 ( X ), ! Y = c_Groups_Ozero__class_Ozero( X ), Z = hAPP( hAPP(
% 0.85/1.37 c_Groups_Oplus__class_Oplus( X ), Z ), Y ) }.
% 0.85/1.37 { alpha24( X, Y, Z, T ), hBOOL( hAPP( c_Orderings_Oord__class_Oless(
% 0.85/1.37 tc_Nat_Onat, T ), hAPP( c_Nat_Osize__class_Osize( tc_List_Olist( Z ) ), Y
% 0.85/1.37 ) ) ), c_List_OtakeWhile( Z, X, Y ) = hAPP( hAPP( c_List_Otake( Z ), T )
% 0.85/1.37 , Y ) }.
% 0.85/1.37 { alpha24( X, Y, Z, T ), hBOOL( hAPP( X, hAPP( c_List_Onth( Z, Y ), T ) ) )
% 0.85/1.37 , c_List_OtakeWhile( Z, X, Y ) = hAPP( hAPP( c_List_Otake( Z ), T ), Y )
% 0.85/1.37 }.
% 0.85/1.37 { ! alpha24( X, Y, Z, T ), hBOOL( hAPP( c_Orderings_Oord__class_Oless(
% 0.85/1.37 tc_Nat_Onat, skol22( U, W, V0, T ) ), T ) ) }.
% 0.85/1.37 { ! alpha24( X, Y, Z, T ), hBOOL( hAPP( c_Orderings_Oord__class_Oless(
% 0.85/1.37 tc_Nat_Onat, skol22( U, Y, Z, T ) ), hAPP( c_Nat_Osize__class_Osize(
% 0.85/1.37 tc_List_Olist( Z ) ), Y ) ) ) }.
% 0.85/1.37 { ! alpha24( X, Y, Z, T ), ! hBOOL( hAPP( X, hAPP( c_List_Onth( Z, Y ),
% 0.85/1.37 skol22( X, Y, Z, T ) ) ) ) }.
% 0.85/1.37 { ! hBOOL( hAPP( c_Orderings_Oord__class_Oless( tc_Nat_Onat, U ), T ) ), !
% 0.85/1.37 hBOOL( hAPP( c_Orderings_Oord__class_Oless( tc_Nat_Onat, U ), hAPP(
% 0.85/1.37 c_Nat_Osize__class_Osize( tc_List_Olist( Z ) ), Y ) ) ), hBOOL( hAPP( X,
% 0.85/1.37 hAPP( c_List_Onth( Z, Y ), U ) ) ), alpha24( X, Y, Z, T ) }.
% 0.85/1.37 { hAPP( hAPP( c_Orderings_Oord__class_Omax( tc_Nat_Onat ), hAPP( c_Nat_OSuc
% 0.85/1.37 , hAPP( c_Nat_Osize__class_Osize( tc_List_Olist( T ) ), Z ) ) ),
% 0.85/1.37 c_List_Ofoldr( tc_List_Olist( Y ), tc_Nat_Onat, c_COMBB( tc_Nat_Onat,
% 0.85/1.37 tc_fun( tc_Nat_Onat, tc_Nat_Onat ), tc_List_Olist( Y ),
% 0.85/1.37 c_Orderings_Oord__class_Omax( tc_Nat_Onat ), c_Nat_Osize__class_Osize(
% 0.85/1.37 tc_List_Olist( Y ) ) ), X, c_Groups_Ozero__class_Ozero( tc_Nat_Onat ) ) )
% 0.85/1.37 = hAPP( c_Nat_OSuc, hAPP( hAPP( c_Orderings_Oord__class_Omax(
% 0.85/1.37 tc_Nat_Onat ), hAPP( c_Nat_Osize__class_Osize( tc_List_Olist( T ) ), Z )
% 0.85/1.37 ), c_List_Ofoldr( tc_List_Olist( Y ), tc_Nat_Onat, c_COMBB( tc_Nat_Onat
% 0.85/1.37 , tc_fun( tc_Nat_Onat, tc_Nat_Onat ), tc_List_Olist( Y ),
% 0.85/1.37 c_Orderings_Oord__class_Omax( tc_Nat_Onat ), hAPP( c_COMBC( tc_List_Olist
% 0.85/1.37 ( Y ), tc_Nat_Onat, tc_Nat_Onat, c_COMBB( tc_Nat_Onat, tc_fun(
% 0.85/1.37 tc_Nat_Onat, tc_Nat_Onat ), tc_List_Olist( Y ),
% 0.85/1.37 c_Groups_Ominus__class_Ominus( tc_Nat_Onat ), c_Nat_Osize__class_Osize(
% 0.85/1.37 tc_List_Olist( Y ) ) ) ), hAPP( c_Nat_OSuc, c_Groups_Ozero__class_Ozero(
% 0.85/1.37 tc_Nat_Onat ) ) ) ), c_List_Ofilter( tc_List_Olist( Y ), c_COMBB(
% 0.85/1.37 tc_HOL_Obool, tc_HOL_Obool, tc_List_Olist( Y ), c_fNot, hAPP( c_COMBC(
% 0.85/1.37 tc_List_Olist( Y ), tc_List_Olist( Y ), tc_HOL_Obool, c_fequal ),
% 0.85/1.37 c_List_Olist_ONil( Y ) ) ), X ), c_Groups_Ozero__class_Ozero( tc_Nat_Onat
% 0.85/1.37 ) ) ) ) }.
% 0.85/1.37 { hAPP( hAPP( c_Groups_Oplus__class_Oplus( tc_Nat_Onat ), hAPP(
% 0.85/1.37 c_Nat_Osize__class_Osize( tc_List_Olist( Z ) ), c_List_Ofilter( Z, Y, X )
% 0.85/1.37 ) ), hAPP( c_Nat_Osize__class_Osize( tc_List_Olist( Z ) ),
% 0.85/1.37 c_List_Ofilter( Z, c_COMBB( tc_HOL_Obool, tc_HOL_Obool, Z, c_fNot, Y ), X
% 0.85/1.37 ) ) ) = hAPP( c_Nat_Osize__class_Osize( tc_List_Olist( Z ) ), X ) }.
% 0.85/1.37 { c_List_Oreplicate( Z, hAPP( c_Nat_Osize__class_Osize( tc_List_Olist( Z )
% 0.85/1.37 ), c_List_Ofilter( Z, hAPP( c_fequal, Y ), X ) ), Y ) = c_List_Ofilter(
% 0.85/1.37 Z, hAPP( c_fequal, Y ), X ) }.
% 0.85/1.37 { ! class_Orderings_Olinorder( X ), hBOOL( hAPP( Z, Y ) ), c_List_Ofilter(
% 0.85/1.37 W, Z, hAPP( hAPP( c_List_Olinorder__class_Oinsort__key( W, X, U ), Y ), T
% 0.85/1.37 ) ) = c_List_Ofilter( W, Z, T ) }.
% 0.85/1.37 { ! class_Orderings_Olinorder( X ), c_List_Ofilter( U, T,
% 0.85/1.37 c_List_Olinorder__class_Osort__key( U, X, Z, Y ) ) =
% 0.85/1.37 c_List_Olinorder__class_Osort__key( U, X, Z, c_List_Ofilter( U, T, Y ) )
% 0.85/1.37 }.
% 0.85/1.37 { ! class_Orderings_Olinorder( X ), c_List_Olinorder__class_Osorted( X,
% 0.85/1.37 c_List_Ofilter( X, hAPP( c_COMBC( X, X, tc_HOL_Obool, c_fequal ), hAPP( Z
% 0.85/1.37 , Y ) ), Y ) ) }.
% 0.85/1.37 { ! hBOOL( hAPP( T, Z ) ), c_List_Ofilter( Y, T, c_List_Oreplicate( Y, X, Z
% 0.85/1.37 ) ) = c_List_Oreplicate( Y, X, Z ) }.
% 0.85/1.37 { hBOOL( hAPP( T, Z ) ), c_List_Ofilter( Y, T, c_List_Oreplicate( Y, X, Z )
% 0.85/1.37 ) = c_List_Olist_ONil( Y ) }.
% 0.85/1.37 { c_List_Ofilter( T, Z, c_List_Ofilter( T, Y, X ) ) = c_List_Ofilter( T,
% 0.85/1.37 c_COMBS( T, tc_HOL_Obool, tc_HOL_Obool, c_COMBB( tc_HOL_Obool, tc_fun(
% 0.85/1.37 tc_HOL_Obool, tc_HOL_Obool ), T, c_fconj, Y ), Z ), X ) }.
% 0.85/1.37 { c_List_Orev( Z, c_List_Ofilter( Z, Y, X ) ) = c_List_Ofilter( Z, Y,
% 0.85/1.37 c_List_Orev( Z, X ) ) }.
% 0.85/1.37 { ! c_List_Odistinct( Y, X ), c_List_Odistinct( Y, c_List_Ofilter( Y, Z, X
% 0.85/1.37 ) ) }.
% 0.85/1.37 { c_List_Ofilter( T, Z, hAPP( hAPP( c_List_Oappend( T ), Y ), X ) ) = hAPP
% 0.85/1.37 ( hAPP( c_List_Oappend( T ), c_List_Ofilter( T, Z, Y ) ), c_List_Ofilter
% 0.85/1.37 ( T, Z, X ) ) }.
% 0.85/1.37 { c_List_Ofilter( Y, X, c_List_Olist_ONil( Y ) ) = c_List_Olist_ONil( Y ) }
% 0.85/1.37 .
% 0.85/1.37 { ! hBOOL( hAPP( T, Z ) ), c_List_Ofilter( Y, T, hAPP( hAPP(
% 0.85/1.37 c_List_Olist_OCons( Y ), Z ), X ) ) = hAPP( hAPP( c_List_Olist_OCons( Y )
% 0.85/1.37 , Z ), c_List_Ofilter( Y, T, X ) ) }.
% 0.85/1.37 { hBOOL( hAPP( T, Z ) ), c_List_Ofilter( Y, T, hAPP( hAPP(
% 0.85/1.37 c_List_Olist_OCons( Y ), Z ), X ) ) = c_List_Ofilter( Y, T, X ) }.
% 0.85/1.37 { c_List_Ofoldr( tc_List_Olist( Y ), tc_Nat_Onat, c_COMBB( tc_Nat_Onat,
% 0.85/1.37 tc_fun( tc_Nat_Onat, tc_Nat_Onat ), tc_List_Olist( Y ),
% 0.85/1.37 c_Orderings_Oord__class_Omax( tc_Nat_Onat ), c_Nat_Osize__class_Osize(
% 0.85/1.37 tc_List_Olist( Y ) ) ), c_List_Otranspose( Y, X ),
% 0.85/1.37 c_Groups_Ozero__class_Ozero( tc_Nat_Onat ) ) = hAPP(
% 0.85/1.37 c_Nat_Osize__class_Osize( tc_List_Olist( tc_List_Olist( Y ) ) ),
% 0.85/1.37 c_List_Ofilter( tc_List_Olist( Y ), c_COMBB( tc_HOL_Obool, tc_HOL_Obool,
% 0.85/1.37 tc_List_Olist( Y ), c_fNot, hAPP( c_COMBC( tc_List_Olist( Y ),
% 0.85/1.37 tc_List_Olist( Y ), tc_HOL_Obool, c_fequal ), c_List_Olist_ONil( Y ) ) )
% 0.85/1.37 , X ) ) }.
% 0.85/1.37 { hAPP( c_Nat_Osize__class_Osize( tc_List_Olist( tc_List_Olist( Y ) ) ),
% 0.85/1.37 c_List_Otranspose( Y, X ) ) = c_List_Ofoldr( tc_List_Olist( Y ),
% 0.85/1.37 tc_Nat_Onat, c_COMBB( tc_Nat_Onat, tc_fun( tc_Nat_Onat, tc_Nat_Onat ),
% 0.85/1.37 tc_List_Olist( Y ), c_Orderings_Oord__class_Omax( tc_Nat_Onat ),
% 0.85/1.37 c_Nat_Osize__class_Osize( tc_List_Olist( Y ) ) ), X,
% 0.85/1.37 c_Groups_Ozero__class_Ozero( tc_Nat_Onat ) ) }.
% 0.85/1.37 { c_List_Otranspose( X, c_List_Olist_ONil( tc_List_Olist( X ) ) ) =
% 0.85/1.37 c_List_Olist_ONil( tc_List_Olist( X ) ) }.
% 0.85/1.37 { c_List_Otranspose( Y, hAPP( hAPP( c_List_Olist_OCons( tc_List_Olist( Y )
% 0.85/1.37 ), c_List_Olist_ONil( Y ) ), X ) ) = c_List_Otranspose( Y, X ) }.
% 0.85/1.37 { ! c_List_Olinorder__class_Osorted( tc_Nat_Onat, c_List_Orev( tc_Nat_Onat
% 0.85/1.37 , c_List_Omap( tc_List_Olist( Y ), tc_Nat_Onat, c_Nat_Osize__class_Osize
% 0.85/1.37 ( tc_List_Olist( Y ) ), X ) ) ), ! hBOOL( hAPP(
% 0.85/1.37 c_Orderings_Oord__class_Oless( tc_Nat_Onat, Z ), hAPP(
% 0.85/1.37 c_Nat_Osize__class_Osize( tc_List_Olist( tc_List_Olist( Y ) ) ),
% 0.85/1.37 c_List_Otranspose( Y, X ) ) ) ), ! hBOOL( hAPP(
% 0.85/1.37 c_Orderings_Oord__class_Oless( tc_Nat_Onat, T ), hAPP(
% 0.85/1.37 c_Nat_Osize__class_Osize( tc_List_Olist( tc_List_Olist( Y ) ) ),
% 0.85/1.37 c_List_Ofilter( tc_List_Olist( Y ), c_COMBB( tc_Nat_Onat, tc_HOL_Obool,
% 0.85/1.37 tc_List_Olist( Y ), c_Orderings_Oord__class_Oless( tc_Nat_Onat, Z ),
% 0.85/1.37 c_Nat_Osize__class_Osize( tc_List_Olist( Y ) ) ), X ) ) ) ), hAPP(
% 0.85/1.37 c_List_Onth( Y, hAPP( c_List_Onth( tc_List_Olist( Y ), c_List_Otranspose
% 0.85/1.37 ( Y, X ) ), Z ) ), T ) = hAPP( c_List_Onth( Y, hAPP( c_List_Onth(
% 0.85/1.37 tc_List_Olist( Y ), X ), T ) ), Z ) }.
% 0.85/1.37 { class_Enum_Oenum( tc_HOL_Obool ) }.
% 0.85/1.37 { ! class_Enum_Oenum( Y ), ! class_Enum_Oenum( X ), class_Enum_Oenum(
% 0.85/1.37 tc_fun( Y, X ) ) }.
% 0.85/1.37 { ! class_Orderings_Opreorder( X ), class_Orderings_Opreorder( tc_fun( Y, X
% 0.85/1.37 ) ) }.
% 0.85/1.37 { ! class_Orderings_Oorder( X ), class_Orderings_Oorder( tc_fun( Y, X ) ) }
% 0.85/1.37 .
% 0.85/1.37 { ! class_Orderings_Oord( X ), class_Orderings_Oord( tc_fun( Y, X ) ) }.
% 0.85/1.37 { ! class_Groups_Ominus( X ), class_Groups_Ominus( tc_fun( Y, X ) ) }.
% 0.85/1.37 { ! class_Enum_Oenum( Y ), ! class_HOL_Oequal( X ), class_HOL_Oequal(
% 0.85/1.37 tc_fun( Y, X ) ) }.
% 0.85/1.37 { class_Semiring__Normalization_Ocomm__semiring__1__cancel__crossproduct(
% 0.85/1.37 tc_Int_Oint ) }.
% 0.85/1.37 { class_Groups_Oordered__cancel__ab__semigroup__add( tc_Int_Oint ) }.
% 0.85/1.37 { class_Groups_Oordered__ab__semigroup__add__imp__le( tc_Int_Oint ) }.
% 0.85/1.37 { class_Groups_Oordered__comm__monoid__add( tc_Int_Oint ) }.
% 0.85/1.37 { class_Groups_Olinordered__ab__group__add( tc_Int_Oint ) }.
% 0.85/1.37 { class_Groups_Ocancel__ab__semigroup__add( tc_Int_Oint ) }.
% 0.85/1.37 { class_Groups_Oordered__ab__group__add( tc_Int_Oint ) }.
% 0.85/1.37 { class_Groups_Ocancel__semigroup__add( tc_Int_Oint ) }.
% 0.85/1.37 { class_Rings_Olinordered__semidom( tc_Int_Oint ) }.
% 0.85/1.37 { class_Groups_Oab__semigroup__add( tc_Int_Oint ) }.
% 0.85/1.37 { class_Groups_Ocomm__monoid__add( tc_Int_Oint ) }.
% 0.85/1.37 { class_Rings_Olinordered__idom( tc_Int_Oint ) }.
% 0.85/1.37 { class_Rings_Ocomm__semiring__1( tc_Int_Oint ) }.
% 0.85/1.37 { class_Groups_Osemigroup__add( tc_Int_Oint ) }.
% 0.85/1.37 { class_Nat_Osemiring__char__0( tc_Int_Oint ) }.
% 0.85/1.37 { class_Groups_Oab__group__add( tc_Int_Oint ) }.
% 0.85/1.37 { class_Orderings_Opreorder( tc_Int_Oint ) }.
% 0.85/1.37 { class_Orderings_Olinorder( tc_Int_Oint ) }.
% 0.85/1.37 { class_Groups_Omonoid__add( tc_Int_Oint ) }.
% 0.85/1.37 { class_Rings_Osemiring__1( tc_Int_Oint ) }.
% 0.85/1.37 { class_Groups_Ogroup__add( tc_Int_Oint ) }.
% 0.85/1.37 { class_Orderings_Oorder( tc_Int_Oint ) }.
% 0.85/1.37 { class_Orderings_Oord( tc_Int_Oint ) }.
% 0.85/1.37 { class_Groups_Ominus( tc_Int_Oint ) }.
% 0.85/1.37 { class_Groups_Ozero( tc_Int_Oint ) }.
% 0.85/1.37 { class_HOL_Oequal( tc_Int_Oint ) }.
% 0.85/1.37 { class_Semiring__Normalization_Ocomm__semiring__1__cancel__crossproduct(
% 0.85/1.37 tc_Nat_Onat ) }.
% 0.85/1.37 { class_Groups_Oordered__cancel__ab__semigroup__add( tc_Nat_Onat ) }.
% 0.85/1.37 { class_Groups_Oordered__ab__semigroup__add__imp__le( tc_Nat_Onat ) }.
% 0.85/1.37 { class_Groups_Oordered__comm__monoid__add( tc_Nat_Onat ) }.
% 0.85/1.37 { class_Groups_Ocancel__ab__semigroup__add( tc_Nat_Onat ) }.
% 0.85/1.37 { class_Groups_Ocancel__semigroup__add( tc_Nat_Onat ) }.
% 0.85/1.37 { class_Rings_Olinordered__semidom( tc_Nat_Onat ) }.
% 0.85/1.37 { class_Groups_Oab__semigroup__add( tc_Nat_Onat ) }.
% 0.85/1.37 { class_Groups_Ocomm__monoid__add( tc_Nat_Onat ) }.
% 0.85/1.37 { class_Rings_Ocomm__semiring__1( tc_Nat_Onat ) }.
% 0.85/1.37 { class_Groups_Osemigroup__add( tc_Nat_Onat ) }.
% 0.85/1.37 { class_Nat_Osemiring__char__0( tc_Nat_Onat ) }.
% 0.85/1.37 { class_Orderings_Opreorder( tc_Nat_Onat ) }.
% 0.85/1.37 { class_Orderings_Olinorder( tc_Nat_Onat ) }.
% 0.85/1.37 { class_Groups_Omonoid__add( tc_Nat_Onat ) }.
% 0.85/1.37 { class_Rings_Osemiring__1( tc_Nat_Onat ) }.
% 0.85/1.37 { class_Orderings_Oorder( tc_Nat_Onat ) }.
% 0.85/1.37 { class_Orderings_Oord( tc_Nat_Onat ) }.
% 0.85/1.37 { class_Groups_Ominus( tc_Nat_Onat ) }.
% 0.85/1.37 { class_Groups_Ozero( tc_Nat_Onat ) }.
% 0.85/1.37 { class_HOL_Oequal( tc_Nat_Onat ) }.
% 0.85/1.37 { class_Orderings_Opreorder( tc_HOL_Obool ) }.
% 0.85/1.37 { class_Orderings_Oorder( tc_HOL_Obool ) }.
% 0.85/1.37 { class_Orderings_Oord( tc_HOL_Obool ) }.
% 0.85/1.37 { class_Groups_Ominus( tc_HOL_Obool ) }.
% 0.85/1.37 { class_HOL_Oequal( tc_HOL_Obool ) }.
% 0.85/1.37 { class_HOL_Oequal( tc_List_Olist( X ) ) }.
% 0.85/1.37 { hAPP( c_COMBI( Y ), X ) = X }.
% 0.85/1.37 { hAPP( c_COMBK( T, Z, Y ), X ) = Y }.
% 0.85/1.37 { hAPP( c_COMBB( W, U, T, Z, Y ), X ) = hAPP( Z, hAPP( Y, X ) ) }.
% 0.85/1.37 { hAPP( hAPP( c_COMBC( W, U, T, Z ), Y ), X ) = hAPP( hAPP( Z, X ), Y ) }.
% 0.85/1.37 { hAPP( c_COMBS( W, U, T, Z, Y ), X ) = hAPP( hAPP( Z, X ), hAPP( Y, X ) )
% 0.85/1.37 }.
% 0.85/1.37 { ! hBOOL( hAPP( hAPP( c_fequal, Y ), X ) ), Y = X }.
% 0.85/1.37 { ! Y = X, hBOOL( hAPP( hAPP( c_fequal, Y ), X ) ) }.
% 0.85/1.37 { ! hBOOL( hAPP( c_fNot, X ) ), ! hBOOL( X ) }.
% 0.85/1.37 { hBOOL( X ), hBOOL( hAPP( c_fNot, X ) ) }.
% 0.85/1.37 { ! hBOOL( X ), ! hBOOL( Y ), hBOOL( hAPP( hAPP( c_fconj, X ), Y ) ) }.
% 0.85/1.37 { ! hBOOL( hAPP( hAPP( c_fconj, X ), Y ) ), hBOOL( X ) }.
% 0.85/1.37 { ! hBOOL( hAPP( hAPP( c_fconj, Y ), X ) ), hBOOL( X ) }.
% 0.85/1.37 { ! hBOOL( X ), hBOOL( hAPP( hAPP( c_fdisj, X ), Y ) ) }.
% 0.85/1.37 { ! hBOOL( X ), hBOOL( hAPP( hAPP( c_fdisj, Y ), X ) ) }.
% 0.85/1.37 { ! hBOOL( hAPP( hAPP( c_fdisj, Y ), X ) ), hBOOL( Y ), hBOOL( X ) }.
% 0.85/1.37 { ! v_a = v_b }.
% 0.85/1.37 { ! c_List_Odistinct( tc_Arrow__Order__Mirabelle_Oalt, hAPP( hAPP(
% 0.85/1.37 c_List_Olist_OCons( tc_Arrow__Order__Mirabelle_Oalt ), v_a ), hAPP( hAPP
% 0.85/1.37 ( c_List_Olist_OCons( tc_Arrow__Order__Mirabelle_Oalt ), v_b ), hAPP(
% 0.85/1.37 hAPP( c_List_Olist_OCons( tc_Arrow__Order__Mirabelle_Oalt ), X ),
% 0.85/1.37 c_List_Olist_ONil( tc_Arrow__Order__Mirabelle_Oalt ) ) ) ) ) }.
% 0.85/1.37
% 0.85/1.37 *** allocated 15000 integers for clauses
% 0.85/1.37 *** allocated 22500 integers for clauses
% 0.85/1.37 *** allocated 33750 integers for clauses
% 0.85/1.37 *** allocated 50625 integers for clauses
% 0.85/1.37 percentage equality = 0.452008, percentage horn = 0.889333
% 0.85/1.37 This is a problem with some equality
% 0.85/1.37
% 0.85/1.37
% 0.85/1.37
% 0.85/1.37 Options Used:
% 0.85/1.37
% 0.85/1.37 useres = 1
% 0.85/1.37 useparamod = 1
% 0.85/1.37 useeqrefl = 1
% 0.85/1.37 useeqfact = 1
% 0.85/1.37 usefactor = 1
% 0.85/1.37 usesimpsplitting = 0
% 0.85/1.37 usesimpdemod = 5
% 0.85/1.37 usesimpres = 3
% 0.85/1.37
% 0.85/1.37 resimpinuse = 1000
% 0.85/1.37 resimpclauses = 20000
% 0.85/1.37 substype = eqrewr
% 0.85/1.37 backwardsubs = 1
% 0.85/1.37 selectoldest = 5
% 0.85/1.37
% 0.85/1.37 litorderings [0] = split
% 0.85/1.37 litorderings [1] = extend the termordering, first sorting on arguments
% 0.85/1.37
% 0.85/1.37 termordering = kbo
% 0.85/1.37
% 0.85/1.37 litapriori = 0
% 0.85/1.37 termapriori = 1
% 0.85/1.37 litaposteriori = 0
% 0.85/1.37 termaposteriori = 0
% 0.85/1.37 demodaposteriori = 0
% 0.85/1.37 ordereqreflfact = 0
% 0.85/1.37
% 0.85/1.37 litselect = negord
% 0.85/1.37
% 0.85/1.37 maxweight = 15
% 0.85/1.37 maxdepth = 30000
% 0.85/1.37 maxlength = 115
% 0.85/1.37 maxnrvars = 195
% 0.85/1.37 excuselevel = 1
% 0.85/1.37 increasemaxweight = 1
% 0.85/1.37
% 0.85/1.37 maxselected = 10000000
% 0.85/1.37 maxnrclauses = 10000000
% 0.85/1.37
% 0.85/1.37 showgenerated = 0
% 0.85/1.37 showkept = 0
% 0.85/1.37 showselected = 0
% 0.85/1.37 showdeleted = 0
% 0.85/1.37 showresimp = 1
% 0.85/1.37 showstatus = 2000
% 0.85/1.37
% 0.85/1.37 prologoutput = 0
% 0.85/1.37 nrgoals = 5000000
% 0.85/1.37 totalproof = 1
% 0.85/1.37
% 0.85/1.37 Symbols occurring in the translation:
% 0.85/1.37
% 0.85/1.37 {} [0, 0] (w:1, o:2, a:1, s:1, b:0),
% 0.85/1.37 . [1, 2] (w:1, o:161, a:1, s:1, b:0),
% 0.85/1.37 ! [4, 1] (w:0, o:113, a:1, s:1, b:0),
% 0.85/1.37 = [13, 2] (w:1, o:0, a:0, s:1, b:0),
% 0.85/1.37 ==> [14, 2] (w:1, o:0, a:0, s:1, b:0),
% 0.85/1.37 hAPP [38, 2] (w:1, o:185, a:1, s:1, b:0),
% 0.85/1.37 tc_Arrow__Order__Mirabelle_Oalt [42, 0] (w:1, o:18, a:1, s:1, b:0),
% 0.85/1.37 c_List_Olist_OCons [43, 1] (w:1, o:118, a:1, s:1, b:0),
% 0.85/1.37 c_List_Olist_ONil [44, 1] (w:1, o:119, a:1, s:1, b:0),
% 0.85/1.37 c_List_Odistinct [45, 2] (w:1, o:186, a:1, s:1, b:0),
% 0.85/1.37 c_List_Osplice [57, 3] (w:1, o:220, a:1, s:1, b:0),
% 0.85/1.37 c_List_Oinsert [58, 3] (w:1, o:221, a:1, s:1, b:0),
% 0.85/1.37 c_List_Obutlast [59, 2] (w:1, o:187, a:1, s:1, b:0),
% 0.85/1.37 class_Orderings_Olinorder [60, 1] (w:1, o:121, a:1, s:1, b:0),
% 0.85/1.37 c_List_Olinorder__class_Osorted [61, 2] (w:1, o:188, a:1, s:1, b:0),
% 0.85/1.37
% 0.85/1.37 c_List_Olast [62, 2] (w:1, o:189, a:1, s:1, b:0),
% 0.85/1.37 c_List_Olist_Olist__case [68, 5] (w:1, o:264, a:1, s:1, b:0),
% 0.85/1.37 c_List_Oappend [69, 1] (w:1, o:122, a:1, s:1, b:0),
% 0.85/1.37 c_List_Olist_Olist__rec [73, 5] (w:1, o:265, a:1, s:1, b:0),
% 0.85/1.37 c_List_Onull [74, 2] (w:1, o:191, a:1, s:1, b:0),
% 0.85/1.37 tc_List_Olist [83, 1] (w:1, o:124, a:1, s:1, b:0),
% 0.85/1.37 c_HOL_Oequal__class_Oequal [84, 1] (w:1, o:128, a:1, s:1, b:0),
% 0.85/1.37 hBOOL [85, 1] (w:1, o:129, a:1, s:1, b:0),
% 0.85/1.37 c_List_Orotate1 [86, 2] (w:1, o:192, a:1, s:1, b:0),
% 0.85/1.37 c_List_Omaps [87, 4] (w:1, o:252, a:1, s:1, b:0),
% 0.85/1.37 c_List_Oreplicate [93, 3] (w:1, o:219, a:1, s:1, b:0),
% 0.85/1.37 c_List_Orev [94, 2] (w:1, o:193, a:1, s:1, b:0),
% 0.85/1.37 c_List_Ohd [95, 2] (w:1, o:194, a:1, s:1, b:0),
% 0.85/1.37 c_List_Otl [98, 2] (w:1, o:195, a:1, s:1, b:0),
% 0.85/1.37 class_HOL_Oequal [99, 1] (w:1, o:145, a:1, s:1, b:0),
% 0.85/1.37 c_fequal [100, 0] (w:1, o:69, a:1, s:1, b:0),
% 0.85/1.37 c_List_OdropWhile [101, 3] (w:1, o:222, a:1, s:1, b:0),
% 0.85/1.37 c_List_Olist__ex1 [102, 3] (w:1, o:223, a:1, s:1, b:0),
% 0.85/1.37 c_List_Omember [103, 3] (w:1, o:228, a:1, s:1, b:0),
% 0.85/1.37 c_List_OtakeWhile [104, 3] (w:1, o:229, a:1, s:1, b:0),
% 0.85/1.47 tc_Nat_Onat [105, 0] (w:1, o:70, a:1, s:1, b:0),
% 0.85/1.47 c_Groups_Ozero__class_Ozero [106, 1] (w:1, o:125, a:1, s:1, b:0),
% 0.85/1.47 c_List_Omap__filter [108, 4] (w:1, o:253, a:1, s:1, b:0),
% 0.85/1.47 c_List_Olist_Olist__size [113, 3] (w:1, o:224, a:1, s:1, b:0),
% 0.85/1.47 class_Groups_Ozero [114, 1] (w:1, o:130, a:1, s:1, b:0),
% 0.85/1.47 c_List_Onth [115, 2] (w:1, o:190, a:1, s:1, b:0),
% 0.85/1.47 c_List_Olinorder__class_Oinsort__key [116, 3] (w:1, o:225, a:1, s:1
% 0.85/1.47 , b:0),
% 0.85/1.47 tc_HOL_Obool [117, 0] (w:1, o:75, a:1, s:1, b:0),
% 0.85/1.47 c_fNot [118, 0] (w:1, o:76, a:1, s:1, b:0),
% 0.85/1.47 c_COMBC [119, 4] (w:1, o:254, a:1, s:1, b:0),
% 0.85/1.47 c_COMBB [120, 5] (w:1, o:266, a:1, s:1, b:0),
% 0.85/1.47 class_Groups_Omonoid__add [121, 1] (w:1, o:132, a:1, s:1, b:0),
% 0.85/1.47 c_List_Omonoid__add__class_Olistsum [122, 1] (w:1, o:146, a:1, s:1
% 0.85/1.47 , b:0),
% 0.85/1.47 c_COMBI [123, 1] (w:1, o:147, a:1, s:1, b:0),
% 0.85/1.47 tc_fun [124, 2] (w:1, o:209, a:1, s:1, b:0),
% 0.85/1.47 c_COMBK [125, 3] (w:1, o:230, a:1, s:1, b:0),
% 0.85/1.47 class_Groups_Ocomm__monoid__add [126, 1] (w:1, o:133, a:1, s:1, b:0)
% 0.85/1.47 ,
% 0.85/1.47 c_Option_Ooption_Ooption__case [127, 5] (w:1, o:267, a:1, s:1, b:0),
% 0.85/1.47
% 0.85/1.47 c_Nat_Onat_Onat__case [128, 4] (w:1, o:255, a:1, s:1, b:0),
% 0.85/1.47 c_fdisj [129, 0] (w:1, o:68, a:1, s:1, b:0),
% 0.85/1.47 c_COMBS [130, 5] (w:1, o:268, a:1, s:1, b:0),
% 0.85/1.47 c_List_Olist__all [131, 3] (w:1, o:226, a:1, s:1, b:0),
% 0.85/1.47 c_List_Ofoldl [132, 4] (w:1, o:256, a:1, s:1, b:0),
% 0.85/1.47 c_List_Olinorder__class_Osort__key [133, 4] (w:1, o:251, a:1, s:1, b:
% 0.85/1.47 0),
% 0.85/1.47 c_Nat_Osize__class_Osize [134, 1] (w:1, o:148, a:1, s:1, b:0),
% 0.85/1.47 c_List_Olinorder__class_Oinsort__insert__key [135, 5] (w:1, o:269, a:
% 0.85/1.47 1, s:1, b:0),
% 0.85/1.47 c_List_Ofoldr [136, 5] (w:1, o:270, a:1, s:1, b:0),
% 0.85/1.47 c_Orderings_Oord__class_Oless [138, 2] (w:1, o:211, a:1, s:1, b:0),
% 0.85/1.47 c_List_Odrop [139, 1] (w:1, o:149, a:1, s:1, b:0),
% 0.85/1.47 c_Orderings_Oord__class_Omax [147, 1] (w:1, o:150, a:1, s:1, b:0),
% 0.85/1.47 c_Groups_Oplus__class_Oplus [148, 1] (w:1, o:126, a:1, s:1, b:0),
% 0.85/1.47 c_Nat_OSuc [149, 0] (w:1, o:82, a:1, s:1, b:0),
% 0.85/1.47 c_List_Olist__ex [150, 3] (w:1, o:227, a:1, s:1, b:0),
% 0.85/1.47 class_Rings_Olinordered__semidom [151, 1] (w:1, o:151, a:1, s:1, b:0)
% 0.85/1.47 ,
% 0.85/1.47 c_Nat_Osemiring__1__class_Oof__nat [152, 2] (w:1, o:210, a:1, s:1, b:
% 0.85/1.47 0),
% 0.85/1.47 c_Groups_Ominus__class_Ominus [153, 1] (w:1, o:127, a:1, s:1, b:0),
% 0.85/1.47 class_Nat_Osemiring__char__0 [156, 1] (w:1, o:120, a:1, s:1, b:0),
% 0.85/1.47 class_Rings_Osemiring__1 [161, 1] (w:1, o:152, a:1, s:1, b:0),
% 0.85/1.47 class_Groups_Oordered__ab__group__add [165, 1] (w:1, o:134, a:1, s:1
% 0.85/1.47 , b:0),
% 0.85/1.47 class_Groups_Ogroup__add [168, 1] (w:1, o:135, a:1, s:1, b:0),
% 0.85/1.47 class_Groups_Oab__group__add [169, 1] (w:1, o:136, a:1, s:1, b:0),
% 0.85/1.47 class_Groups_Ocancel__semigroup__add [172, 1] (w:1, o:137, a:1, s:1
% 0.85/1.47 , b:0),
% 0.85/1.47 class_Groups_Ocancel__ab__semigroup__add [173, 1] (w:1, o:138, a:1
% 0.85/1.47 , s:1, b:0),
% 0.85/1.47 class_Groups_Oordered__ab__semigroup__add__imp__le [174, 1] (w:1, o:
% 0.85/1.47 139, a:1, s:1, b:0),
% 0.85/1.47 class_Groups_Oab__semigroup__add [175, 1] (w:1, o:140, a:1, s:1, b:0)
% 0.85/1.47 ,
% 0.85/1.47 class_Groups_Olinordered__ab__group__add [176, 1] (w:1, o:131, a:1
% 0.85/1.47 , s:1, b:0),
% 0.85/1.47 class_Groups_Oordered__cancel__ab__semigroup__add [178, 1] (w:1, o:
% 0.85/1.47 141, a:1, s:1, b:0),
% 0.85/1.47 class_Groups_Osemigroup__add [182, 1] (w:1, o:142, a:1, s:1, b:0),
% 0.85/1.47 class_Groups_Oordered__comm__monoid__add [184, 1] (w:1, o:143, a:1
% 0.85/1.47 , s:1, b:0),
% 0.85/1.47 class_Rings_Olinordered__idom [186, 1] (w:1, o:153, a:1, s:1, b:0),
% 0.85/1.47 c_List_Otake [187, 1] (w:1, o:154, a:1, s:1, b:0),
% 0.85/1.47 tc_Int_Oint [190, 0] (w:1, o:97, a:1, s:1, b:0),
% 0.85/1.47 c_List_Olist__update [191, 2] (w:1, o:212, a:1, s:1, b:0),
% 0.85/1.47 class_Orderings_Opreorder [198, 1] (w:1, o:157, a:1, s:1, b:0),
% 0.85/1.47 class_Orderings_Oorder [199, 1] (w:1, o:155, a:1, s:1, b:0),
% 0.85/1.47 class_Orderings_Oord [200, 1] (w:1, o:156, a:1, s:1, b:0),
% 0.85/1.47 class_Groups_Ominus [205, 1] (w:1, o:144, a:1, s:1, b:0),
% 0.85/1.47 class_Rings_Ocomm__semiring__1 [206, 1] (w:1, o:158, a:1, s:1, b:0),
% 4.50/4.90
% 4.50/4.90 class_Semiring__Normalization_Ocomm__semiring__1__cancel__crossproduct [
% 4.50/4.90 207, 1] (w:1, o:159, a:1, s:1, b:0),
% 4.50/4.90 c_List_Ofilter [209, 3] (w:1, o:231, a:1, s:1, b:0),
% 4.50/4.90 c_fconj [211, 0] (w:1, o:67, a:1, s:1, b:0),
% 4.50/4.90 c_List_Otranspose [212, 2] (w:1, o:213, a:1, s:1, b:0),
% 4.50/4.90 c_List_Omap [214, 4] (w:1, o:257, a:1, s:1, b:0),
% 4.50/4.90 class_Enum_Oenum [215, 1] (w:1, o:160, a:1, s:1, b:0),
% 4.50/4.90 v_a [222, 0] (w:1, o:111, a:1, s:1, b:0),
% 4.50/4.90 v_b [223, 0] (w:1, o:112, a:1, s:1, b:0),
% 4.50/4.90 alpha1 [224, 4] (w:1, o:258, a:1, s:1, b:1),
% 4.50/4.90 alpha2 [225, 6] (w:1, o:279, a:1, s:1, b:1),
% 4.50/4.90 alpha3 [226, 5] (w:1, o:271, a:1, s:1, b:1),
% 4.50/4.90 alpha4 [227, 5] (w:1, o:272, a:1, s:1, b:1),
% 4.50/4.90 alpha5 [228, 3] (w:1, o:232, a:1, s:1, b:1),
% 4.50/4.90 alpha6 [229, 4] (w:1, o:259, a:1, s:1, b:1),
% 4.50/4.90 alpha7 [230, 3] (w:1, o:233, a:1, s:1, b:1),
% 4.50/4.90 alpha8 [231, 3] (w:1, o:234, a:1, s:1, b:1),
% 4.50/4.90 alpha9 [232, 2] (w:1, o:214, a:1, s:1, b:1),
% 4.50/4.90 alpha10 [233, 2] (w:1, o:215, a:1, s:1, b:1),
% 4.50/4.90 alpha11 [234, 3] (w:1, o:235, a:1, s:1, b:1),
% 4.50/4.90 alpha12 [235, 3] (w:1, o:236, a:1, s:1, b:1),
% 4.50/4.90 alpha13 [236, 2] (w:1, o:216, a:1, s:1, b:1),
% 4.50/4.90 alpha14 [237, 6] (w:1, o:278, a:1, s:1, b:1),
% 4.50/4.90 alpha15 [238, 5] (w:1, o:273, a:1, s:1, b:1),
% 4.50/4.90 alpha16 [239, 5] (w:1, o:274, a:1, s:1, b:1),
% 4.50/4.90 alpha17 [240, 4] (w:1, o:260, a:1, s:1, b:1),
% 4.50/4.90 alpha18 [241, 4] (w:1, o:261, a:1, s:1, b:1),
% 4.50/4.90 alpha19 [242, 2] (w:1, o:217, a:1, s:1, b:1),
% 4.50/4.90 alpha20 [243, 2] (w:1, o:218, a:1, s:1, b:1),
% 4.50/4.90 alpha21 [244, 3] (w:1, o:237, a:1, s:1, b:1),
% 4.50/4.90 alpha22 [245, 3] (w:1, o:238, a:1, s:1, b:1),
% 4.50/4.90 alpha23 [246, 3] (w:1, o:239, a:1, s:1, b:1),
% 4.50/4.90 alpha24 [247, 4] (w:1, o:262, a:1, s:1, b:1),
% 4.50/4.90 alpha25 [248, 3] (w:1, o:240, a:1, s:1, b:1),
% 4.50/4.90 skol1 [249, 2] (w:1, o:196, a:1, s:1, b:1),
% 4.50/4.90 skol2 [250, 0] (w:1, o:15, a:1, s:1, b:1),
% 4.50/4.90 skol3 [251, 5] (w:1, o:275, a:1, s:1, b:1),
% 4.50/4.90 skol4 [252, 5] (w:1, o:276, a:1, s:1, b:1),
% 4.50/4.90 skol5 [253, 5] (w:1, o:277, a:1, s:1, b:1),
% 4.50/4.90 skol6 [254, 2] (w:1, o:197, a:1, s:1, b:1),
% 4.50/4.90 skol7 [255, 2] (w:1, o:198, a:1, s:1, b:1),
% 4.50/4.90 skol8 [256, 2] (w:1, o:199, a:1, s:1, b:1),
% 4.50/4.90 skol9 [257, 2] (w:1, o:200, a:1, s:1, b:1),
% 4.50/4.90 skol10 [258, 3] (w:1, o:241, a:1, s:1, b:1),
% 4.50/4.90 skol11 [259, 3] (w:1, o:242, a:1, s:1, b:1),
% 4.50/4.90 skol12 [260, 3] (w:1, o:243, a:1, s:1, b:1),
% 4.50/4.90 skol13 [261, 2] (w:1, o:201, a:1, s:1, b:1),
% 4.50/4.90 skol14 [262, 3] (w:1, o:244, a:1, s:1, b:1),
% 4.50/4.90 skol15 [263, 3] (w:1, o:245, a:1, s:1, b:1),
% 4.50/4.90 skol16 [264, 2] (w:1, o:202, a:1, s:1, b:1),
% 4.50/4.90 skol17 [265, 3] (w:1, o:246, a:1, s:1, b:1),
% 4.50/4.90 skol18 [266, 3] (w:1, o:247, a:1, s:1, b:1),
% 4.50/4.90 skol19 [267, 1] (w:1, o:123, a:1, s:1, b:1),
% 4.50/4.90 skol20 [268, 2] (w:1, o:203, a:1, s:1, b:1),
% 4.50/4.90 skol21 [269, 2] (w:1, o:204, a:1, s:1, b:1),
% 4.50/4.90 skol22 [270, 4] (w:1, o:263, a:1, s:1, b:1),
% 4.50/4.90 skol23 [271, 0] (w:1, o:16, a:1, s:1, b:1),
% 4.50/4.90 skol24 [272, 2] (w:1, o:205, a:1, s:1, b:1),
% 4.50/4.90 skol25 [273, 2] (w:1, o:206, a:1, s:1, b:1),
% 4.50/4.90 skol26 [274, 2] (w:1, o:207, a:1, s:1, b:1),
% 4.50/4.90 skol27 [275, 2] (w:1, o:208, a:1, s:1, b:1),
% 4.50/4.90 skol28 [276, 3] (w:1, o:248, a:1, s:1, b:1),
% 4.50/4.90 skol29 [277, 0] (w:1, o:17, a:1, s:1, b:1),
% 4.50/4.90 skol30 [278, 3] (w:1, o:249, a:1, s:1, b:1),
% 4.50/4.90 skol31 [279, 3] (w:1, o:250, a:1, s:1, b:1).
% 4.50/4.90
% 4.50/4.90
% 4.50/4.90 Starting Search:
% 4.50/4.90
% 4.50/4.90 *** allocated 75937 integers for clauses
% 4.50/4.90 *** allocated 113905 integers for clauses
% 4.50/4.90 Resimplifying inuse:
% 4.50/4.90 Done
% 4.50/4.90
% 4.50/4.90 *** allocated 170857 integers for clauses
% 4.50/4.90
% 4.50/4.90 Intermediate Status:
% 4.50/4.90 Generated: 4775
% 4.50/4.90 Kept: 2019
% 4.50/4.90 Inuse: 123
% 4.50/4.90 Deleted: 3
% 4.50/4.90 Deletedinuse: 0
% 4.50/4.90
% 4.50/4.90 Resimplifying inuse:
% 4.50/4.90 Done
% 4.50/4.90
% 4.50/4.90 *** allocated 113905 integers for termspace/termends
% 4.50/4.90 *** allocated 256285 integers for clauses
% 4.50/4.90 Resimplifying inuse:
% 4.50/4.90 Done
% 4.50/4.90
% 4.50/4.90 *** allocated 170857 integers for termspace/termends
% 4.50/4.90
% 4.50/4.90 Intermediate Status:
% 4.50/4.90 Generated: 10315
% 4.50/4.90 Kept: 4200
% 4.50/4.90 Inuse: 213
% 4.50/4.90 Deleted: 10
% 4.50/4.90 Deletedinuse: 2
% 4.50/4.90
% 4.50/4.90 Resimplifying inuse:
% 4.50/4.90 Done
% 4.50/4.90
% 4.50/4.90 *** allocated 384427 integers for clauses
% 17.33/17.71 Resimplifying inuse:
% 17.33/17.71 Done
% 17.33/17.71
% 17.33/17.71
% 17.33/17.71 Intermediate Status:
% 17.33/17.71 Generated: 19065
% 17.33/17.71 Kept: 6220
% 17.33/17.71 Inuse: 263
% 17.33/17.71 Deleted: 12
% 17.33/17.71 Deletedinuse: 2
% 17.33/17.71
% 17.33/17.71 *** allocated 256285 integers for termspace/termends
% 17.33/17.71 Resimplifying inuse:
% 17.33/17.71 Done
% 17.33/17.71
% 17.33/17.71 *** allocated 576640 integers for clauses
% 17.33/17.71 Resimplifying inuse:
% 17.33/17.71 Done
% 17.33/17.71
% 17.33/17.71
% 17.33/17.71 Intermediate Status:
% 17.33/17.71 Generated: 25265
% 17.33/17.71 Kept: 8547
% 17.33/17.71 Inuse: 295
% 17.33/17.71 Deleted: 13
% 17.33/17.71 Deletedinuse: 2
% 17.33/17.71
% 17.33/17.71 Resimplifying inuse:
% 17.33/17.71 Done
% 17.33/17.71
% 17.33/17.71 Resimplifying inuse:
% 17.33/17.71 Done
% 17.33/17.71
% 17.33/17.71 *** allocated 384427 integers for termspace/termends
% 17.33/17.71
% 17.33/17.71 Intermediate Status:
% 17.33/17.71 Generated: 29875
% 17.33/17.71 Kept: 10558
% 17.33/17.71 Inuse: 322
% 17.33/17.71 Deleted: 14
% 17.33/17.71 Deletedinuse: 3
% 17.33/17.71
% 17.33/17.71 Resimplifying inuse:
% 17.33/17.71 Done
% 17.33/17.71
% 17.33/17.71 *** allocated 864960 integers for clauses
% 17.33/17.71 Resimplifying inuse:
% 17.33/17.71 Done
% 17.33/17.71
% 17.33/17.71
% 17.33/17.71 Intermediate Status:
% 17.33/17.71 Generated: 34836
% 17.33/17.71 Kept: 12579
% 17.33/17.71 Inuse: 350
% 17.33/17.71 Deleted: 14
% 17.33/17.71 Deletedinuse: 3
% 17.33/17.71
% 17.33/17.71 Resimplifying inuse:
% 17.33/17.71 Done
% 17.33/17.71
% 17.33/17.71
% 17.33/17.71 Intermediate Status:
% 17.33/17.71 Generated: 39412
% 17.33/17.71 Kept: 14608
% 17.33/17.71 Inuse: 384
% 17.33/17.71 Deleted: 14
% 17.33/17.71 Deletedinuse: 3
% 17.33/17.71
% 17.33/17.71 Resimplifying inuse:
% 17.33/17.71 Done
% 17.33/17.71
% 17.33/17.71 Resimplifying inuse:
% 17.33/17.71 Done
% 17.33/17.71
% 17.33/17.71 *** allocated 576640 integers for termspace/termends
% 17.33/17.71
% 17.33/17.71 Intermediate Status:
% 17.33/17.71 Generated: 44627
% 17.33/17.71 Kept: 16619
% 17.33/17.71 Inuse: 406
% 17.33/17.71 Deleted: 15
% 17.33/17.71 Deletedinuse: 3
% 17.33/17.71
% 17.33/17.71 Resimplifying inuse:
% 17.33/17.71 Done
% 17.33/17.71
% 17.33/17.71 Resimplifying inuse:
% 17.33/17.71 Done
% 17.33/17.71
% 17.33/17.71 *** allocated 1297440 integers for clauses
% 17.33/17.71
% 17.33/17.71 Intermediate Status:
% 17.33/17.71 Generated: 51501
% 17.33/17.71 Kept: 18629
% 17.33/17.71 Inuse: 449
% 17.33/17.71 Deleted: 20
% 17.33/17.71 Deletedinuse: 3
% 17.33/17.71
% 17.33/17.71 Resimplifying inuse:
% 17.33/17.71 Done
% 17.33/17.71
% 17.33/17.71 Resimplifying clauses:
% 17.33/17.71 Done
% 17.33/17.71
% 17.33/17.71
% 17.33/17.71 Intermediate Status:
% 17.33/17.71 Generated: 58867
% 17.33/17.71 Kept: 21215
% 17.33/17.71 Inuse: 463
% 17.33/17.71 Deleted: 644
% 17.33/17.71 Deletedinuse: 3
% 17.33/17.71
% 17.33/17.71 Resimplifying inuse:
% 17.33/17.71 Done
% 17.33/17.71
% 17.33/17.71 Resimplifying inuse:
% 17.33/17.71 Done
% 17.33/17.71
% 17.33/17.71
% 17.33/17.71 Intermediate Status:
% 17.33/17.71 Generated: 65037
% 17.33/17.71 Kept: 23923
% 17.33/17.71 Inuse: 488
% 17.33/17.71 Deleted: 644
% 17.33/17.71 Deletedinuse: 3
% 17.33/17.71
% 17.33/17.71 Resimplifying inuse:
% 17.33/17.71 Done
% 17.33/17.71
% 17.33/17.71 *** allocated 864960 integers for termspace/termends
% 17.33/17.71 Resimplifying inuse:
% 17.33/17.71 Done
% 17.33/17.71
% 17.33/17.71
% 17.33/17.71 Intermediate Status:
% 17.33/17.71 Generated: 72093
% 17.33/17.71 Kept: 26192
% 17.33/17.71 Inuse: 523
% 17.33/17.71 Deleted: 644
% 17.33/17.71 Deletedinuse: 3
% 17.33/17.71
% 17.33/17.71 Resimplifying inuse:
% 17.33/17.71 Done
% 17.33/17.71
% 17.33/17.71 *** allocated 1946160 integers for clauses
% 17.33/17.71
% 17.33/17.71 Intermediate Status:
% 17.33/17.71 Generated: 76297
% 17.33/17.71 Kept: 28794
% 17.33/17.71 Inuse: 533
% 17.33/17.71 Deleted: 644
% 17.33/17.71 Deletedinuse: 3
% 17.33/17.71
% 17.33/17.71 Resimplifying inuse:
% 17.33/17.71 Done
% 17.33/17.71
% 17.33/17.71 Resimplifying inuse:
% 17.33/17.71 Done
% 17.33/17.71
% 17.33/17.71
% 17.33/17.71 Intermediate Status:
% 17.33/17.71 Generated: 84392
% 17.33/17.71 Kept: 30817
% 17.33/17.71 Inuse: 575
% 17.33/17.71 Deleted: 644
% 17.33/17.71 Deletedinuse: 3
% 17.33/17.71
% 17.33/17.71 Resimplifying inuse:
% 17.33/17.71 Done
% 17.33/17.71
% 17.33/17.71 Resimplifying inuse:
% 17.33/17.71 Done
% 17.33/17.71
% 17.33/17.71
% 17.33/17.71 Intermediate Status:
% 17.33/17.71 Generated: 91424
% 17.33/17.71 Kept: 33253
% 17.33/17.71 Inuse: 623
% 17.33/17.71 Deleted: 644
% 17.33/17.71 Deletedinuse: 3
% 17.33/17.71
% 17.33/17.71 Resimplifying inuse:
% 17.33/17.71 Done
% 17.33/17.71
% 17.33/17.71 Resimplifying inuse:
% 17.33/17.71 Done
% 17.33/17.71
% 17.33/17.71
% 17.33/17.71 Intermediate Status:
% 17.33/17.71 Generated: 97559
% 17.33/17.71 Kept: 35543
% 17.33/17.71 Inuse: 648
% 17.33/17.71 Deleted: 644
% 17.33/17.71 Deletedinuse: 3
% 17.33/17.71
% 17.33/17.71 Resimplifying inuse:
% 17.33/17.71 Done
% 17.33/17.71
% 17.33/17.71 Resimplifying inuse:
% 17.33/17.71 Done
% 17.33/17.71
% 17.33/17.71 *** allocated 1297440 integers for termspace/termends
% 17.33/17.71
% 17.33/17.71 Intermediate Status:
% 17.33/17.71 Generated: 103266
% 17.33/17.71 Kept: 38176
% 17.33/17.71 Inuse: 663
% 17.33/17.71 Deleted: 645
% 17.33/17.71 Deletedinuse: 4
% 17.33/17.71
% 17.33/17.71 Resimplifying inuse:
% 17.33/17.71 Done
% 17.33/17.71
% 17.33/17.71 Resimplifying inuse:
% 17.33/17.71 Done
% 17.33/17.71
% 17.33/17.71
% 17.33/17.71 Intermediate Status:
% 17.33/17.71 Generated: 114217
% 17.33/17.71 Kept: 41325
% 17.33/17.71 Inuse: 698
% 17.33/17.71 Deleted: 647
% 17.33/17.71 Deletedinuse: 6
% 17.33/17.71
% 17.33/17.71 Resimplifying inuse:
% 17.33/17.71 Done
% 17.33/17.71
% 17.33/17.71 Resimplifying clauses:
% 17.33/17.71 Done
% 17.33/17.71
% 17.33/17.71 *** allocated 2919240 integers for clauses
% 17.33/17.71
% 17.33/17.71 Intermediate Status:
% 17.33/17.71 Generated: 127642
% 17.33/17.71 Kept: 45722
% 17.33/17.71 Inuse: 713
% 17.33/17.71 Deleted: 966
% 17.33/17.71 Deletedinuse: 6
% 17.33/17.71
% 17.33/17.71 Resimplifying inuse:
% 17.33/17.71 Done
% 17.33/17.71
% 17.33/17.71 Resimplifying inuse:
% 17.33/17.71 Done
% 17.33/17.71
% 17.33/17.71
% 17.33/17.71 Intermediate Status:
% 17.33/17.71 Generated: 131926
% 17.33/17.71 Kept: 47883
% 17.33/17.71 Inuse: 753
% 17.33/17.71 Deleted: 966
% 17.33/17.71 Deletedinuse: 6
% 17.33/17.71
% 17.33/17.71 Resimplifying inuse:
% 17.33/17.71 Done
% 17.33/17.71
% 17.33/17.71 Resimplifying inuse:
% 17.33/17.71 Done
% 17.33/17.71
% 17.33/17.71
% 17.33/17.71 Intermediate Status:
% 17.33/17.71 Generated: 138941
% 17.33/17.71 Kept: 50080
% 17.33/17.71 Inuse: 783
% 17.33/17.71 Deleted: 966
% 17.33/17.71 Deletedinuse: 6
% 17.33/17.71
% 17.33/17.71 Resimplifying inuse:
% 17.33/17.71 Done
% 17.33/17.71
% 17.33/17.71
% 17.33/17.71 Intermediate Status:
% 17.33/17.71 Generated: 145554
% 17.33/17.71 Kept: 52133
% 17.33/17.71 Inuse: 818
% 17.33/17.71 Deleted: 966
% 17.33/17.71 Deletedinuse: 6
% 17.33/17.71
% 17.33/17.71 Resimplifying inuse:
% 17.33/17.71 Done
% 17.33/17.71
% 17.33/17.71 Resimplifying inuse:
% 17.33/17.71 Done
% 17.33/17.71
% 17.33/17.71 *** allocated 1946160 integers for termspace/termends
% 17.33/17.71
% 17.33/17.71 Intermediate Status:
% 17.33/17.71 Generated: 150024
% 17.33/17.71 Kept: 54521
% 17.33/17.71 Inuse: 873
% 17.33/17.71 Deleted: 966
% 17.33/17.71 Deletedinuse: 6
% 17.33/17.71
% 17.33/17.71 Resimplifying inuse:
% 17.33/17.71 Done
% 17.33/17.71
% 17.33/17.71 Resimplifying inuse:
% 17.33/17.71 Done
% 17.33/17.71
% 17.33/17.71
% 17.33/17.71 Intermediate Status:
% 17.33/17.71 Generated: 154523
% 17.33/17.71 Kept: 56785
% 45.74/46.12 Inuse: 913
% 45.74/46.12 Deleted: 966
% 45.74/46.12 Deletedinuse: 6
% 45.74/46.12
% 45.74/46.12 Resimplifying inuse:
% 45.74/46.12 Done
% 45.74/46.12
% 45.74/46.12 Resimplifying inuse:
% 45.74/46.12 Done
% 45.74/46.12
% 45.74/46.12
% 45.74/46.12 Intermediate Status:
% 45.74/46.12 Generated: 158035
% 45.74/46.12 Kept: 58846
% 45.74/46.12 Inuse: 963
% 45.74/46.12 Deleted: 966
% 45.74/46.12 Deletedinuse: 6
% 45.74/46.12
% 45.74/46.12 Resimplifying inuse:
% 45.74/46.12 Done
% 45.74/46.12
% 45.74/46.12 *** allocated 4378860 integers for clauses
% 45.74/46.12
% 45.74/46.12 Intermediate Status:
% 45.74/46.12 Generated: 161795
% 45.74/46.12 Kept: 61029
% 45.74/46.12 Inuse: 998
% 45.74/46.12 Deleted: 966
% 45.74/46.12 Deletedinuse: 6
% 45.74/46.12
% 45.74/46.12 Resimplifying inuse:
% 45.74/46.12 Done
% 45.74/46.12
% 45.74/46.12 Resimplifying clauses:
% 45.74/46.12 Done
% 45.74/46.12
% 45.74/46.12
% 45.74/46.12 Intermediate Status:
% 45.74/46.12 Generated: 166805
% 45.74/46.12 Kept: 63071
% 45.74/46.12 Inuse: 1038
% 45.74/46.12 Deleted: 1010
% 45.74/46.12 Deletedinuse: 6
% 45.74/46.12
% 45.74/46.12 Resimplifying inuse:
% 45.74/46.12 Done
% 45.74/46.12
% 45.74/46.12 Resimplifying inuse:
% 45.74/46.12 Done
% 45.74/46.12
% 45.74/46.12
% 45.74/46.12 Intermediate Status:
% 45.74/46.12 Generated: 173638
% 45.74/46.12 Kept: 65735
% 45.74/46.12 Inuse: 1048
% 45.74/46.12 Deleted: 1014
% 45.74/46.12 Deletedinuse: 10
% 45.74/46.12
% 45.74/46.12 Resimplifying inuse:
% 45.74/46.12 Done
% 45.74/46.12
% 45.74/46.12 Resimplifying inuse:
% 45.74/46.12 Done
% 45.74/46.12
% 45.74/46.12
% 45.74/46.12 Intermediate Status:
% 45.74/46.12 Generated: 181078
% 45.74/46.12 Kept: 70524
% 45.74/46.12 Inuse: 1078
% 45.74/46.12 Deleted: 1014
% 45.74/46.12 Deletedinuse: 10
% 45.74/46.12
% 45.74/46.12 Resimplifying inuse:
% 45.74/46.12 Done
% 45.74/46.12
% 45.74/46.12 Resimplifying inuse:
% 45.74/46.12 Done
% 45.74/46.12
% 45.74/46.12 *** allocated 2919240 integers for termspace/termends
% 45.74/46.12
% 45.74/46.12 Intermediate Status:
% 45.74/46.12 Generated: 189025
% 45.74/46.12 Kept: 73103
% 45.74/46.12 Inuse: 1108
% 45.74/46.12 Deleted: 1014
% 45.74/46.12 Deletedinuse: 10
% 45.74/46.12
% 45.74/46.12 Resimplifying inuse:
% 45.74/46.12 Done
% 45.74/46.12
% 45.74/46.12 Resimplifying inuse:
% 45.74/46.12 Done
% 45.74/46.12
% 45.74/46.12
% 45.74/46.12 Intermediate Status:
% 45.74/46.12 Generated: 193707
% 45.74/46.12 Kept: 75390
% 45.74/46.12 Inuse: 1123
% 45.74/46.12 Deleted: 1014
% 45.74/46.12 Deletedinuse: 10
% 45.74/46.12
% 45.74/46.12 Resimplifying inuse:
% 45.74/46.12 Done
% 45.74/46.12
% 45.74/46.12 Resimplifying inuse:
% 45.74/46.12 Done
% 45.74/46.12
% 45.74/46.12
% 45.74/46.12 Intermediate Status:
% 45.74/46.12 Generated: 197713
% 45.74/46.12 Kept: 77660
% 45.74/46.12 Inuse: 1163
% 45.74/46.12 Deleted: 1014
% 45.74/46.12 Deletedinuse: 10
% 45.74/46.12
% 45.74/46.12 Resimplifying inuse:
% 45.74/46.12 Done
% 45.74/46.12
% 45.74/46.12 Resimplifying inuse:
% 45.74/46.12 Done
% 45.74/46.12
% 45.74/46.12
% 45.74/46.12 Intermediate Status:
% 45.74/46.12 Generated: 206214
% 45.74/46.12 Kept: 80944
% 45.74/46.12 Inuse: 1183
% 45.74/46.12 Deleted: 1014
% 45.74/46.12 Deletedinuse: 10
% 45.74/46.12
% 45.74/46.12 Resimplifying inuse:
% 45.74/46.12 Done
% 45.74/46.12
% 45.74/46.12
% 45.74/46.12 Intermediate Status:
% 45.74/46.12 Generated: 213885
% 45.74/46.12 Kept: 82946
% 45.74/46.12 Inuse: 1188
% 45.74/46.12 Deleted: 1014
% 45.74/46.12 Deletedinuse: 10
% 45.74/46.12
% 45.74/46.12 Resimplifying inuse:
% 45.74/46.12 Done
% 45.74/46.12
% 45.74/46.12 Resimplifying clauses:
% 45.74/46.12 Done
% 45.74/46.12
% 45.74/46.12 Resimplifying inuse:
% 45.74/46.12 Done
% 45.74/46.12
% 45.74/46.12
% 45.74/46.12 Intermediate Status:
% 45.74/46.12 Generated: 217665
% 45.74/46.12 Kept: 84957
% 45.74/46.12 Inuse: 1208
% 45.74/46.12 Deleted: 1704
% 45.74/46.12 Deletedinuse: 10
% 45.74/46.12
% 45.74/46.12 Resimplifying inuse:
% 45.74/46.12 Done
% 45.74/46.12
% 45.74/46.12
% 45.74/46.12 Intermediate Status:
% 45.74/46.12 Generated: 222383
% 45.74/46.12 Kept: 87204
% 45.74/46.12 Inuse: 1223
% 45.74/46.12 Deleted: 1704
% 45.74/46.12 Deletedinuse: 10
% 45.74/46.12
% 45.74/46.12 Resimplifying inuse:
% 45.74/46.12 Done
% 45.74/46.12
% 45.74/46.12 *** allocated 6568290 integers for clauses
% 45.74/46.12
% 45.74/46.12 Intermediate Status:
% 45.74/46.12 Generated: 231079
% 45.74/46.12 Kept: 90089
% 45.74/46.12 Inuse: 1248
% 45.74/46.12 Deleted: 1704
% 45.74/46.12 Deletedinuse: 10
% 45.74/46.12
% 45.74/46.12 Resimplifying inuse:
% 45.74/46.12 Done
% 45.74/46.12
% 45.74/46.12 Resimplifying inuse:
% 45.74/46.12 Done
% 45.74/46.12
% 45.74/46.12
% 45.74/46.12 Intermediate Status:
% 45.74/46.12 Generated: 244380
% 45.74/46.12 Kept: 92536
% 45.74/46.12 Inuse: 1263
% 45.74/46.12 Deleted: 1704
% 45.74/46.12 Deletedinuse: 10
% 45.74/46.12
% 45.74/46.12 Resimplifying inuse:
% 45.74/46.12 Done
% 45.74/46.12
% 45.74/46.12
% 45.74/46.12 Intermediate Status:
% 45.74/46.12 Generated: 251793
% 45.74/46.12 Kept: 94737
% 45.74/46.12 Inuse: 1283
% 45.74/46.12 Deleted: 1704
% 45.74/46.12 Deletedinuse: 10
% 45.74/46.12
% 45.74/46.12 Resimplifying inuse:
% 45.74/46.12 Done
% 45.74/46.12
% 45.74/46.12 Resimplifying inuse:
% 45.74/46.12 Done
% 45.74/46.12
% 45.74/46.12
% 45.74/46.12 Intermediate Status:
% 45.74/46.12 Generated: 255775
% 45.74/46.12 Kept: 97163
% 45.74/46.12 Inuse: 1303
% 45.74/46.12 Deleted: 1705
% 45.74/46.12 Deletedinuse: 11
% 45.74/46.12
% 45.74/46.12 Resimplifying inuse:
% 45.74/46.12 Done
% 45.74/46.12
% 45.74/46.12 *** allocated 4378860 integers for termspace/termends
% 45.74/46.12 Resimplifying inuse:
% 45.74/46.12 Done
% 45.74/46.12
% 45.74/46.12
% 45.74/46.12 Intermediate Status:
% 45.74/46.12 Generated: 260343
% 45.74/46.12 Kept: 99594
% 45.74/46.12 Inuse: 1323
% 45.74/46.12 Deleted: 1705
% 45.74/46.12 Deletedinuse: 11
% 45.74/46.12
% 45.74/46.12 Resimplifying inuse:
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% 45.74/46.12
% 45.74/46.12 Resimplifying inuse:
% 45.74/46.12 Done
% 45.74/46.12
% 45.74/46.12
% 45.74/46.12 Intermediate Status:
% 45.74/46.12 Generated: 265659
% 45.74/46.12 Kept: 101940
% 45.74/46.12 Inuse: 1353
% 45.74/46.12 Deleted: 1706
% 45.74/46.12 Deletedinuse: 12
% 45.74/46.12
% 45.74/46.12 Resimplifying inuse:
% 45.74/46.12 Done
% 45.74/46.12
% 45.74/46.12
% 45.74/46.12 Intermediate Status:
% 45.74/46.12 Generated: 273233
% 45.74/46.12 Kept: 103984
% 45.74/46.12 Inuse: 1358
% 45.74/46.12 Deleted: 1706
% 45.74/46.12 Deletedinuse: 12
% 45.74/46.12
% 45.74/46.12 Resimplifying inuse:
% 45.74/46.12 Done
% 45.74/46.12
% 45.74/46.12 Resimplifying clauses:
% 45.74/46.12 Done
% 45.74/46.12
% 45.74/46.12 Resimplifying inuse:
% 45.74/46.12 Done
% 45.74/46.12
% 45.74/46.12
% 45.74/46.12 Intermediate Status:
% 45.74/46.12 Generated: 283325
% 45.74/46.12 Kept: 106742
% 45.74/46.12 Inuse: 1373
% 45.74/46.12 Deleted: 3043
% 45.74/46.12 Deletedinuse: 12
% 45.74/46.12
% 45.74/46.12 Resimplifying inuse:
% 45.74/46.12 Done
% 45.74/46.12
% 45.74/46.12 Resimplifying inuse:
% 45.74/46.12 Done
% 45.74/46.12
% 45.74/46.12
% 45.74/46.12 Intermediate Status:
% 45.74/46.12 Generated: 292391
% 45.74/46.12 Kept: 108823
% 45.74/46.12 Inuse: 1383
% 45.74/46.12 Deleted: 3043
% 45.74/46.12 Deletedinuse: 12
% 45.74/46.12
% 45.74/46.12 Resimplifying inuse:
% 45.74/46.12 Done
% 45.74/46.12
% 45.74/46.12
% 45.74/46.12 Intermediate Status:
% 45.74/46.12 Generated: 296842
% 45.74/46.12 Kept: 110923
% 45.74/46.12 Inuse: 1408
% 45.74/46.12 Deleted: 3044
% 45.74/46.12 Deletedinuse: 13
% 45.74/46.12
% 45.74/46.12 Resimplifying inuse:
% 45.74/46.12 Done
% 45.74/46.12
% 45.74/46.12
% 45.74/46.12 Intermediate Status:
% 45.74/46.12 Generated: 305094
% 45.74/46.12 Kept: 113273
% 45.74/46.12 Inuse: 1418
% 45.74/46.12 Deleted: 3044
% 45.74/46.12 Deletedinuse: 13
% 45.74/46.12
% 45.74/46.12 Resimplifying inuse:
% 98.29/98.72 Done
% 98.29/98.72
% 98.29/98.72 Resimplifying inuse:
% 98.29/98.72 Done
% 98.29/98.72
% 98.29/98.72
% 98.29/98.72 Intermediate Status:
% 98.29/98.72 Generated: 310261
% 98.29/98.72 Kept: 115630
% 98.29/98.72 Inuse: 1448
% 98.29/98.72 Deleted: 3044
% 98.29/98.72 Deletedinuse: 13
% 98.29/98.72
% 98.29/98.72 Resimplifying inuse:
% 98.29/98.72 Done
% 98.29/98.72
% 98.29/98.72 Resimplifying inuse:
% 98.29/98.72 Done
% 98.29/98.72
% 98.29/98.72
% 98.29/98.72 Intermediate Status:
% 98.29/98.72 Generated: 320800
% 98.29/98.72 Kept: 118286
% 98.29/98.72 Inuse: 1498
% 98.29/98.72 Deleted: 3045
% 98.29/98.72 Deletedinuse: 14
% 98.29/98.72
% 98.29/98.72 Resimplifying inuse:
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% 98.29/98.72
% 98.29/98.72 Resimplifying inuse:
% 98.29/98.72 Done
% 98.29/98.72
% 98.29/98.72
% 98.29/98.72 Intermediate Status:
% 98.29/98.72 Generated: 326257
% 98.29/98.72 Kept: 120352
% 98.29/98.72 Inuse: 1512
% 98.29/98.72 Deleted: 3051
% 98.29/98.72 Deletedinuse: 14
% 98.29/98.72
% 98.29/98.72
% 98.29/98.72 Intermediate Status:
% 98.29/98.72 Generated: 331184
% 98.29/98.72 Kept: 122835
% 98.29/98.72 Inuse: 1522
% 98.29/98.72 Deleted: 3051
% 98.29/98.72 Deletedinuse: 14
% 98.29/98.72
% 98.29/98.72 Resimplifying inuse:
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% 98.29/98.72
% 98.29/98.72 Resimplifying inuse:
% 98.29/98.72 Done
% 98.29/98.72
% 98.29/98.72
% 98.29/98.72 Intermediate Status:
% 98.29/98.72 Generated: 337488
% 98.29/98.72 Kept: 125897
% 98.29/98.72 Inuse: 1532
% 98.29/98.72 Deleted: 3051
% 98.29/98.72 Deletedinuse: 14
% 98.29/98.72
% 98.29/98.72 Resimplifying inuse:
% 98.29/98.72 Done
% 98.29/98.72
% 98.29/98.72 Resimplifying clauses:
% 98.29/98.72 Done
% 98.29/98.72
% 98.29/98.72 Resimplifying inuse:
% 98.29/98.72 Done
% 98.29/98.72
% 98.29/98.72
% 98.29/98.72 Intermediate Status:
% 98.29/98.72 Generated: 347279
% 98.29/98.72 Kept: 129513
% 98.29/98.72 Inuse: 1557
% 98.29/98.72 Deleted: 4013
% 98.29/98.72 Deletedinuse: 14
% 98.29/98.72
% 98.29/98.72 Resimplifying inuse:
% 98.29/98.72 Done
% 98.29/98.72
% 98.29/98.72
% 98.29/98.72 Intermediate Status:
% 98.29/98.72 Generated: 353078
% 98.29/98.72 Kept: 132010
% 98.29/98.72 Inuse: 1567
% 98.29/98.72 Deleted: 4013
% 98.29/98.72 Deletedinuse: 14
% 98.29/98.72
% 98.29/98.72 Resimplifying inuse:
% 98.29/98.72 Done
% 98.29/98.72
% 98.29/98.72 Resimplifying inuse:
% 98.29/98.72 Done
% 98.29/98.72
% 98.29/98.72 *** allocated 9852435 integers for clauses
% 98.29/98.72
% 98.29/98.72 Intermediate Status:
% 98.29/98.72 Generated: 359956
% 98.29/98.72 Kept: 134497
% 98.29/98.72 Inuse: 1592
% 98.29/98.72 Deleted: 4013
% 98.29/98.72 Deletedinuse: 14
% 98.29/98.72
% 98.29/98.72 Resimplifying inuse:
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% 98.29/98.72
% 98.29/98.72 Resimplifying inuse:
% 98.29/98.72 Done
% 98.29/98.72
% 98.29/98.72
% 98.29/98.72 Intermediate Status:
% 98.29/98.72 Generated: 365119
% 98.29/98.72 Kept: 136530
% 98.29/98.72 Inuse: 1618
% 98.29/98.72 Deleted: 4013
% 98.29/98.72 Deletedinuse: 14
% 98.29/98.72
% 98.29/98.72 Resimplifying inuse:
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% 98.29/98.72
% 98.29/98.72 Resimplifying inuse:
% 98.29/98.72 Done
% 98.29/98.72
% 98.29/98.72
% 98.29/98.72 Intermediate Status:
% 98.29/98.72 Generated: 369904
% 98.29/98.72 Kept: 138808
% 98.29/98.72 Inuse: 1642
% 98.29/98.72 Deleted: 4013
% 98.29/98.72 Deletedinuse: 14
% 98.29/98.72
% 98.29/98.72 Resimplifying inuse:
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% 98.29/98.72
% 98.29/98.72 Resimplifying inuse:
% 98.29/98.72 Done
% 98.29/98.72
% 98.29/98.72
% 98.29/98.72 Intermediate Status:
% 98.29/98.72 Generated: 374576
% 98.29/98.72 Kept: 140974
% 98.29/98.72 Inuse: 1672
% 98.29/98.72 Deleted: 4013
% 98.29/98.72 Deletedinuse: 14
% 98.29/98.72
% 98.29/98.72 Resimplifying inuse:
% 98.29/98.72 Done
% 98.29/98.72
% 98.29/98.72
% 98.29/98.72 Intermediate Status:
% 98.29/98.72 Generated: 382616
% 98.29/98.72 Kept: 144329
% 98.29/98.72 Inuse: 1682
% 98.29/98.72 Deleted: 4013
% 98.29/98.72 Deletedinuse: 14
% 98.29/98.72
% 98.29/98.72 Resimplifying inuse:
% 98.29/98.72 Done
% 98.29/98.72
% 98.29/98.72
% 98.29/98.72 Intermediate Status:
% 98.29/98.72 Generated: 389756
% 98.29/98.72 Kept: 147358
% 98.29/98.72 Inuse: 1687
% 98.29/98.72 Deleted: 4013
% 98.29/98.72 Deletedinuse: 14
% 98.29/98.72
% 98.29/98.72 Resimplifying inuse:
% 98.29/98.72 Done
% 98.29/98.72
% 98.29/98.72 Resimplifying clauses:
% 98.29/98.72 Done
% 98.29/98.72
% 98.29/98.72 *** allocated 6568290 integers for termspace/termends
% 98.29/98.72
% 98.29/98.72 Intermediate Status:
% 98.29/98.72 Generated: 400630
% 98.29/98.72 Kept: 149724
% 98.29/98.72 Inuse: 1697
% 98.29/98.72 Deleted: 4651
% 98.29/98.72 Deletedinuse: 14
% 98.29/98.72
% 98.29/98.72 Resimplifying inuse:
% 98.29/98.72 Done
% 98.29/98.72
% 98.29/98.72 Resimplifying inuse:
% 98.29/98.72 Done
% 98.29/98.72
% 98.29/98.72
% 98.29/98.72 Intermediate Status:
% 98.29/98.72 Generated: 410664
% 98.29/98.72 Kept: 151732
% 98.29/98.72 Inuse: 1704
% 98.29/98.72 Deleted: 4651
% 98.29/98.72 Deletedinuse: 14
% 98.29/98.72
% 98.29/98.72 Resimplifying inuse:
% 98.29/98.72 Done
% 98.29/98.72
% 98.29/98.72
% 98.29/98.72 Intermediate Status:
% 98.29/98.72 Generated: 420799
% 98.29/98.72 Kept: 153977
% 98.29/98.72 Inuse: 1712
% 98.29/98.72 Deleted: 4651
% 98.29/98.72 Deletedinuse: 14
% 98.29/98.72
% 98.29/98.72 Resimplifying inuse:
% 98.29/98.72 Done
% 98.29/98.72
% 98.29/98.72 Resimplifying inuse:
% 98.29/98.72 Done
% 98.29/98.72
% 98.29/98.72
% 98.29/98.72 Intermediate Status:
% 98.29/98.72 Generated: 426124
% 98.29/98.72 Kept: 156178
% 98.29/98.72 Inuse: 1737
% 98.29/98.72 Deleted: 4651
% 98.29/98.72 Deletedinuse: 14
% 98.29/98.72
% 98.29/98.72 Resimplifying inuse:
% 98.29/98.72 Done
% 98.29/98.72
% 98.29/98.72
% 98.29/98.72 Intermediate Status:
% 98.29/98.72 Generated: 432763
% 98.29/98.72 Kept: 158891
% 98.29/98.72 Inuse: 1757
% 98.29/98.72 Deleted: 4651
% 98.29/98.72 Deletedinuse: 14
% 98.29/98.72
% 98.29/98.72 Resimplifying inuse:
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% 98.29/98.72
% 98.29/98.72 Resimplifying inuse:
% 98.29/98.72 Done
% 98.29/98.72
% 98.29/98.72
% 98.29/98.72 Intermediate Status:
% 98.29/98.72 Generated: 438163
% 98.29/98.72 Kept: 161421
% 98.29/98.72 Inuse: 1782
% 98.29/98.72 Deleted: 4651
% 98.29/98.72 Deletedinuse: 14
% 98.29/98.72
% 98.29/98.72 Resimplifying inuse:
% 98.29/98.72 Done
% 98.29/98.72
% 98.29/98.72 Resimplifying inuse:
% 98.29/98.72 Done
% 98.29/98.72
% 98.29/98.72
% 98.29/98.72 Intermediate Status:
% 98.29/98.72 Generated: 443490
% 98.29/98.72 Kept: 163907
% 98.29/98.72 Inuse: 1797
% 98.29/98.72 Deleted: 4651
% 98.29/98.72 Deletedinuse: 14
% 98.29/98.72
% 98.29/98.72 Resimplifying inuse:
% 98.29/98.72 Done
% 98.29/98.72
% 98.29/98.72 Resimplifying inuse:
% 98.29/98.72 Done
% 98.29/98.72
% 98.29/98.72
% 98.29/98.72 Intermediate Status:
% 98.29/98.72 Generated: 448058
% 98.29/98.72 Kept: 166018
% 98.29/98.72 Inuse: 1817
% 98.29/98.72 Deleted: 4651
% 98.29/98.72 Deletedinuse: 14
% 98.29/98.72
% 98.29/98.72
% 98.29/98.72 Intermediate Status:
% 98.29/98.72 Generated: 458019
% 98.29/98.72 Kept: 168099
% 98.29/98.72 Inuse: 1827
% 98.29/98.72 Deleted: 4651
% 98.29/98.72 Deletedinuse: 14
% 98.29/98.72
% 98.29/98.72 Resimplifying inuse:
% 98.29/98.72 Done
% 98.29/98.72
% 98.29/98.72 Resimplifying clauses:
% 98.29/98.72 Done
% 98.29/98.72
% 98.29/98.72 Resimplifying inuse:
% 98.29/98.72 Done
% 98.29/98.72
% 98.29/98.72
% 98.29/98.72 Intermediate Status:
% 98.29/98.72 Generated: 463950
% 98.29/98.72 Kept: 170327
% 98.29/98.72 Inuse: 1842
% 98.29/98.72 Deleted: 5068
% 98.29/98.72 Deletedinuse: 15
% 98.29/98.72
% 98.29/98.72 Resimplifying inuse:
% 98.29/98.72 Done
% 98.29/98.72
% 98.29/98.72
% 98.29/98.72 Intermediate Status:
% 98.29/98.72 Generated: 474282
% 98.29/98.72 Kept: 174744
% 98.29/98.72 Inuse: 1852
% 98.29/98.72 Deleted: 5068
% 98.29/98.72 Deletedinuse: 15
% 98.29/98.72
% 98.29/98.72 Resimplifying inuse:
% 98.29/98.72 Done
% 98.29/98.72
% 98.29/98.72 Resimplifying inuse:
% 178.69/179.15 Done
% 178.69/179.15
% 178.69/179.15
% 178.69/179.15 Intermediate Status:
% 178.69/179.15 Generated: 483604
% 178.69/179.15 Kept: 178692
% 178.69/179.15 Inuse: 1872
% 178.69/179.15 Deleted: 5068
% 178.69/179.15 Deletedinuse: 15
% 178.69/179.15
% 178.69/179.15 Resimplifying inuse:
% 178.69/179.15 Done
% 178.69/179.15
% 178.69/179.15 Resimplifying inuse:
% 178.69/179.15 Done
% 178.69/179.15
% 178.69/179.15
% 178.69/179.15 Intermediate Status:
% 178.69/179.15 Generated: 489025
% 178.69/179.15 Kept: 180910
% 178.69/179.15 Inuse: 1892
% 178.69/179.15 Deleted: 5068
% 178.69/179.15 Deletedinuse: 15
% 178.69/179.15
% 178.69/179.15
% 178.69/179.15 Intermediate Status:
% 178.69/179.15 Generated: 493897
% 178.69/179.15 Kept: 183183
% 178.69/179.15 Inuse: 1897
% 178.69/179.15 Deleted: 5068
% 178.69/179.15 Deletedinuse: 15
% 178.69/179.15
% 178.69/179.15 Resimplifying inuse:
% 178.69/179.15 Done
% 178.69/179.15
% 178.69/179.15
% 178.69/179.15 Intermediate Status:
% 178.69/179.15 Generated: 498809
% 178.69/179.15 Kept: 185468
% 178.69/179.15 Inuse: 1902
% 178.69/179.15 Deleted: 5068
% 178.69/179.15 Deletedinuse: 15
% 178.69/179.15
% 178.69/179.15 Resimplifying inuse:
% 178.69/179.15 Done
% 178.69/179.15
% 178.69/179.15
% 178.69/179.15 Intermediate Status:
% 178.69/179.15 Generated: 503790
% 178.69/179.15 Kept: 187646
% 178.69/179.15 Inuse: 1907
% 178.69/179.15 Deleted: 5068
% 178.69/179.15 Deletedinuse: 15
% 178.69/179.15
% 178.69/179.15 Resimplifying inuse:
% 178.69/179.15 Done
% 178.69/179.15
% 178.69/179.15 Resimplifying clauses:
% 178.69/179.15 Done
% 178.69/179.15
% 178.69/179.15 Resimplifying inuse:
% 178.69/179.15 Done
% 178.69/179.15
% 178.69/179.15
% 178.69/179.15 Intermediate Status:
% 178.69/179.15 Generated: 509658
% 178.69/179.15 Kept: 190295
% 178.69/179.15 Inuse: 1927
% 178.69/179.15 Deleted: 5226
% 178.69/179.15 Deletedinuse: 15
% 178.69/179.15
% 178.69/179.15 Resimplifying inuse:
% 178.69/179.15 Done
% 178.69/179.15
% 178.69/179.15 Resimplifying inuse:
% 178.69/179.15 Done
% 178.69/179.15
% 178.69/179.15
% 178.69/179.15 Intermediate Status:
% 178.69/179.15 Generated: 514505
% 178.69/179.15 Kept: 192483
% 178.69/179.15 Inuse: 1942
% 178.69/179.15 Deleted: 5226
% 178.69/179.15 Deletedinuse: 15
% 178.69/179.15
% 178.69/179.15 Resimplifying inuse:
% 178.69/179.15 Done
% 178.69/179.15
% 178.69/179.15
% 178.69/179.15 Intermediate Status:
% 178.69/179.15 Generated: 520676
% 178.69/179.15 Kept: 194497
% 178.69/179.15 Inuse: 1952
% 178.69/179.15 Deleted: 5226
% 178.69/179.15 Deletedinuse: 15
% 178.69/179.15
% 178.69/179.15 Resimplifying inuse:
% 178.69/179.15 Done
% 178.69/179.15
% 178.69/179.15
% 178.69/179.15 Intermediate Status:
% 178.69/179.15 Generated: 525934
% 178.69/179.15 Kept: 196890
% 178.69/179.15 Inuse: 1967
% 178.69/179.15 Deleted: 5228
% 178.69/179.15 Deletedinuse: 17
% 178.69/179.15
% 178.69/179.15 Resimplifying inuse:
% 178.69/179.15 Done
% 178.69/179.15
% 178.69/179.15 Resimplifying inuse:
% 178.69/179.15 Done
% 178.69/179.15
% 178.69/179.15
% 178.69/179.15 Intermediate Status:
% 178.69/179.15 Generated: 534200
% 178.69/179.15 Kept: 198994
% 178.69/179.15 Inuse: 1992
% 178.69/179.15 Deleted: 5231
% 178.69/179.15 Deletedinuse: 20
% 178.69/179.15
% 178.69/179.15 Resimplifying inuse:
% 178.69/179.15 Done
% 178.69/179.15
% 178.69/179.15 Resimplifying inuse:
% 178.69/179.15 Done
% 178.69/179.15
% 178.69/179.15
% 178.69/179.15 Intermediate Status:
% 178.69/179.15 Generated: 539120
% 178.69/179.15 Kept: 201003
% 178.69/179.15 Inuse: 2012
% 178.69/179.15 Deleted: 5231
% 178.69/179.15 Deletedinuse: 20
% 178.69/179.15
% 178.69/179.15 Resimplifying inuse:
% 178.69/179.15 Done
% 178.69/179.15
% 178.69/179.15 Resimplifying inuse:
% 178.69/179.15 Done
% 178.69/179.15
% 178.69/179.15
% 178.69/179.15 Intermediate Status:
% 178.69/179.15 Generated: 545902
% 178.69/179.15 Kept: 203646
% 178.69/179.15 Inuse: 2032
% 178.69/179.15 Deleted: 5231
% 178.69/179.15 Deletedinuse: 20
% 178.69/179.15
% 178.69/179.15 Resimplifying inuse:
% 178.69/179.15 Done
% 178.69/179.15
% 178.69/179.15 Resimplifying inuse:
% 178.69/179.15 Done
% 178.69/179.15
% 178.69/179.15
% 178.69/179.15 Intermediate Status:
% 178.69/179.15 Generated: 552739
% 178.69/179.15 Kept: 206227
% 178.69/179.15 Inuse: 2047
% 178.69/179.15 Deleted: 5231
% 178.69/179.15 Deletedinuse: 20
% 178.69/179.15
% 178.69/179.15 Resimplifying inuse:
% 178.69/179.15 Done
% 178.69/179.15
% 178.69/179.15
% 178.69/179.15 Intermediate Status:
% 178.69/179.15 Generated: 560247
% 178.69/179.15 Kept: 208334
% 178.69/179.15 Inuse: 2057
% 178.69/179.15 Deleted: 5231
% 178.69/179.15 Deletedinuse: 20
% 178.69/179.15
% 178.69/179.15 Resimplifying inuse:
% 178.69/179.15 Done
% 178.69/179.15
% 178.69/179.15 Resimplifying clauses:
% 178.69/179.15 Done
% 178.69/179.15
% 178.69/179.15 *** allocated 14778652 integers for clauses
% 178.69/179.15 Resimplifying inuse:
% 178.69/179.15 Done
% 178.69/179.15
% 178.69/179.15
% 178.69/179.15 Intermediate Status:
% 178.69/179.15 Generated: 567594
% 178.69/179.15 Kept: 210501
% 178.69/179.15 Inuse: 2067
% 178.69/179.15 Deleted: 6281
% 178.69/179.15 Deletedinuse: 20
% 178.69/179.15
% 178.69/179.15 Resimplifying inuse:
% 178.69/179.15 Done
% 178.69/179.15
% 178.69/179.15 Resimplifying inuse:
% 178.69/179.15 Done
% 178.69/179.15
% 178.69/179.15
% 178.69/179.15 Intermediate Status:
% 178.69/179.15 Generated: 575134
% 178.69/179.15 Kept: 212524
% 178.69/179.15 Inuse: 2087
% 178.69/179.15 Deleted: 6282
% 178.69/179.15 Deletedinuse: 21
% 178.69/179.15
% 178.69/179.15 Resimplifying inuse:
% 178.69/179.15 Done
% 178.69/179.15
% 178.69/179.15 *** allocated 9852435 integers for termspace/termends
% 178.69/179.15
% 178.69/179.15 Intermediate Status:
% 178.69/179.15 Generated: 584839
% 178.69/179.15 Kept: 215714
% 178.69/179.15 Inuse: 2097
% 178.69/179.15 Deleted: 6283
% 178.69/179.15 Deletedinuse: 22
% 178.69/179.15
% 178.69/179.15 Resimplifying inuse:
% 178.69/179.15 Done
% 178.69/179.15
% 178.69/179.15
% 178.69/179.15 Intermediate Status:
% 178.69/179.15 Generated: 591676
% 178.69/179.15 Kept: 218170
% 178.69/179.15 Inuse: 2102
% 178.69/179.15 Deleted: 6283
% 178.69/179.15 Deletedinuse: 22
% 178.69/179.15
% 178.69/179.15 Resimplifying inuse:
% 178.69/179.15 Done
% 178.69/179.15
% 178.69/179.15 Resimplifying inuse:
% 178.69/179.15 Done
% 178.69/179.15
% 178.69/179.15
% 178.69/179.15 Intermediate Status:
% 178.69/179.15 Generated: 598447
% 178.69/179.15 Kept: 220548
% 178.69/179.15 Inuse: 2112
% 178.69/179.15 Deleted: 6283
% 178.69/179.15 Deletedinuse: 22
% 178.69/179.15
% 178.69/179.15 Resimplifying inuse:
% 178.69/179.15 Done
% 178.69/179.15
% 178.69/179.15 Resimplifying inuse:
% 178.69/179.15 Done
% 178.69/179.15
% 178.69/179.15
% 178.69/179.15 Intermediate Status:
% 178.69/179.15 Generated: 603196
% 178.69/179.15 Kept: 222945
% 178.69/179.15 Inuse: 2136
% 178.69/179.15 Deleted: 6284
% 178.69/179.15 Deletedinuse: 22
% 178.69/179.15
% 178.69/179.15 Resimplifying inuse:
% 178.69/179.15 Done
% 178.69/179.15
% 178.69/179.15 Resimplifying inuse:
% 178.69/179.15 Done
% 178.69/179.15
% 178.69/179.15
% 178.69/179.15 Intermediate Status:
% 178.69/179.15 Generated: 608473
% 178.69/179.15 Kept: 225284
% 178.69/179.15 Inuse: 2146
% 178.69/179.15 Deleted: 6284
% 178.69/179.15 Deletedinuse: 22
% 178.69/179.15
% 178.69/179.15 Resimplifying inuse:
% 178.69/179.15 Done
% 178.69/179.15
% 178.69/179.15 Resimplifying inuse:
% 178.69/179.15 Done
% 178.69/179.15
% 178.69/179.15
% 178.69/179.15 Intermediate Status:
% 178.69/179.15 Generated: 613900
% 178.69/179.15 Kept: 227384
% 178.69/179.15 Inuse: 2161
% 178.69/179.15 Deleted: 6284
% 178.69/179.15 Deletedinuse: 22
% 178.69/179.15
% 178.69/179.15 Resimplifying inuse:
% 178.69/179.15 Done
% 178.69/179.15
% 178.69/179.15 Resimplifying clauses:
% 178.69/179.15 Done
% 178.69/179.15
% 178.69/179.15 Resimplifying inuse:
% 178.69/179.15 Done
% 178.69/179.15
% 178.69/179.15
% 178.69/179.15 Intermediate Status:
% 178.69/179.15 Generated: 620956
% 178.69/179.15 Kept: 230062
% 178.69/179.15 Inuse: 2176
% 178.69/179.15 Deleted: 7025
% 178.69/179.15 Deletedinuse: 22
% 178.69/179.15
% 178.69/179.15 Resimplifying inuse:
% 178.69/179.15 Done
% 178.69/179.15
% 178.69/179.15 Resimplifying inuse:
% 178.69/179.15 Done
% 178.69/179.15
% 178.69/179.15
% 178.69/179.15 Intermediate Status:
% 178.69/179.15 Generated: 626061
% 178.69/179.15 Kept: 232075
% 178.69/179.15 Inuse: 2189
% 178.69/179.15 Deleted: 7025
% 178.69/179.15 Deletedinuse: 22
% 178.69/179.15
% 178.69/179.15 Resimplifying inuse:
% 178.69/179.15 DonCputime limit exceeded (core dumped)
%------------------------------------------------------------------------------