TSTP Solution File: SCT115+1 by Bliksem---1.12
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- Process Solution
%------------------------------------------------------------------------------
% File : Bliksem---1.12
% Problem : SCT115+1 : TPTP v8.1.0. Released v5.2.0.
% Transfm : none
% Format : tptp:raw
% Command : bliksem %s
% Computer : n021.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 21:01:21 EDT 2022
% Result : Timeout 300.08s 300.65s
% Output : None
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----No solution output by system
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : SCT115+1 : TPTP v8.1.0. Released v5.2.0.
% 0.07/0.13 % Command : bliksem %s
% 0.12/0.34 % Computer : n021.cluster.edu
% 0.12/0.34 % Model : x86_64 x86_64
% 0.12/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.34 % Memory : 8042.1875MB
% 0.12/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.34 % CPULimit : 300
% 0.12/0.34 % DateTime : Sat Jul 2 01:45:29 EDT 2022
% 0.12/0.34 % CPUTime :
% 0.87/1.43 *** allocated 10000 integers for termspace/termends
% 0.87/1.43 *** allocated 10000 integers for clauses
% 0.87/1.43 *** allocated 10000 integers for justifications
% 0.87/1.43 *** allocated 15000 integers for termspace/termends
% 0.87/1.43 Bliksem 1.12
% 0.87/1.43
% 0.87/1.43
% 0.87/1.43 Automatic Strategy Selection
% 0.87/1.43
% 0.87/1.43 *** allocated 22500 integers for termspace/termends
% 0.87/1.43 *** allocated 33750 integers for termspace/termends
% 0.87/1.43 *** allocated 50625 integers for termspace/termends
% 0.87/1.43 *** allocated 75937 integers for termspace/termends
% 0.87/1.43
% 0.87/1.43 Clauses:
% 0.87/1.43
% 0.87/1.43 { ! hAPP( Y, skol1( X, Y ) ) = hAPP( X, skol1( X, Y ) ), Y = X }.
% 0.87/1.43 { ! Y = X, alpha53( X, Y, Z, T ), ! c_member( T, Z, Y ) }.
% 0.87/1.43 { ! Y = X, alpha53( X, Y, Z, T ), ! c_member( T, Z, X ) }.
% 0.87/1.43 { ! alpha53( X, Y, Z, T ), c_member( T, Z, Y ) }.
% 0.87/1.43 { ! alpha53( X, Y, Z, T ), c_member( T, Z, X ) }.
% 0.87/1.43 { ! c_member( T, Z, Y ), ! c_member( T, Z, X ), alpha53( X, Y, Z, T ) }.
% 0.87/1.43 { ! c_member( tc_prod( tc_Arrow__Order__Mirabelle_Oalt,
% 0.87/1.43 tc_Arrow__Order__Mirabelle_Oalt ), c_Product__Type_OPair(
% 0.87/1.43 tc_Arrow__Order__Mirabelle_Oalt, tc_Arrow__Order__Mirabelle_Oalt, T, Z )
% 0.87/1.43 , c_Arrow__Order__Mirabelle_Omkbot( Y, X ) ), ! Z = X }.
% 0.87/1.43 { ! c_member( tc_prod( tc_Arrow__Order__Mirabelle_Oalt,
% 0.87/1.43 tc_Arrow__Order__Mirabelle_Oalt ), c_Product__Type_OPair(
% 0.87/1.43 tc_Arrow__Order__Mirabelle_Oalt, tc_Arrow__Order__Mirabelle_Oalt, T, Z )
% 0.87/1.43 , c_Arrow__Order__Mirabelle_Omkbot( Y, X ) ), alpha22( X, Y, Z, T ) }.
% 0.87/1.43 { Z = X, ! alpha22( X, Y, Z, T ), c_member( tc_prod(
% 0.87/1.43 tc_Arrow__Order__Mirabelle_Oalt, tc_Arrow__Order__Mirabelle_Oalt ),
% 0.87/1.43 c_Product__Type_OPair( tc_Arrow__Order__Mirabelle_Oalt,
% 0.87/1.43 tc_Arrow__Order__Mirabelle_Oalt, T, Z ), c_Arrow__Order__Mirabelle_Omkbot
% 0.87/1.43 ( Y, X ) ) }.
% 0.87/1.43 { ! alpha22( X, Y, Z, T ), alpha1( X, Z, T ) }.
% 0.87/1.43 { ! alpha22( X, Y, Z, T ), alpha34( X, Y, Z, T ) }.
% 0.87/1.43 { ! alpha1( X, Z, T ), ! alpha34( X, Y, Z, T ), alpha22( X, Y, Z, T ) }.
% 0.87/1.43 { ! alpha34( X, Y, Z, T ), T = X, c_member( tc_prod(
% 0.87/1.43 tc_Arrow__Order__Mirabelle_Oalt, tc_Arrow__Order__Mirabelle_Oalt ),
% 0.87/1.43 c_Product__Type_OPair( tc_Arrow__Order__Mirabelle_Oalt,
% 0.87/1.43 tc_Arrow__Order__Mirabelle_Oalt, T, Z ), Y ) }.
% 0.87/1.43 { ! T = X, alpha34( X, Y, Z, T ) }.
% 0.87/1.43 { ! c_member( tc_prod( tc_Arrow__Order__Mirabelle_Oalt,
% 0.87/1.43 tc_Arrow__Order__Mirabelle_Oalt ), c_Product__Type_OPair(
% 0.87/1.43 tc_Arrow__Order__Mirabelle_Oalt, tc_Arrow__Order__Mirabelle_Oalt, T, Z )
% 0.87/1.43 , Y ), alpha34( X, Y, Z, T ) }.
% 0.87/1.43 { ! alpha1( X, Y, Z ), ! Z = X, ! Z = Y }.
% 0.87/1.43 { Z = X, alpha1( X, Y, Z ) }.
% 0.87/1.43 { Z = Y, alpha1( X, Y, Z ) }.
% 0.87/1.43 { ! c_member( tc_prod( tc_Arrow__Order__Mirabelle_Oalt,
% 0.87/1.43 tc_Arrow__Order__Mirabelle_Oalt ), c_Product__Type_OPair(
% 0.87/1.43 tc_Arrow__Order__Mirabelle_Oalt, tc_Arrow__Order__Mirabelle_Oalt, T, Z )
% 0.87/1.43 , c_Arrow__Order__Mirabelle_Omktop( Y, X ) ), ! T = X }.
% 0.87/1.43 { ! c_member( tc_prod( tc_Arrow__Order__Mirabelle_Oalt,
% 0.87/1.43 tc_Arrow__Order__Mirabelle_Oalt ), c_Product__Type_OPair(
% 0.87/1.43 tc_Arrow__Order__Mirabelle_Oalt, tc_Arrow__Order__Mirabelle_Oalt, T, Z )
% 0.87/1.43 , c_Arrow__Order__Mirabelle_Omktop( Y, X ) ), alpha23( X, Y, Z, T ) }.
% 0.87/1.43 { T = X, ! alpha23( X, Y, Z, T ), c_member( tc_prod(
% 0.87/1.43 tc_Arrow__Order__Mirabelle_Oalt, tc_Arrow__Order__Mirabelle_Oalt ),
% 0.87/1.43 c_Product__Type_OPair( tc_Arrow__Order__Mirabelle_Oalt,
% 0.87/1.43 tc_Arrow__Order__Mirabelle_Oalt, T, Z ), c_Arrow__Order__Mirabelle_Omktop
% 0.87/1.43 ( Y, X ) ) }.
% 0.87/1.43 { ! alpha23( X, Y, Z, T ), alpha2( X, Z, T ) }.
% 0.87/1.43 { ! alpha23( X, Y, Z, T ), alpha35( X, Y, Z, T ) }.
% 0.87/1.43 { ! alpha2( X, Z, T ), ! alpha35( X, Y, Z, T ), alpha23( X, Y, Z, T ) }.
% 0.87/1.43 { ! alpha35( X, Y, Z, T ), Z = X, c_member( tc_prod(
% 0.87/1.43 tc_Arrow__Order__Mirabelle_Oalt, tc_Arrow__Order__Mirabelle_Oalt ),
% 0.87/1.43 c_Product__Type_OPair( tc_Arrow__Order__Mirabelle_Oalt,
% 0.87/1.43 tc_Arrow__Order__Mirabelle_Oalt, T, Z ), Y ) }.
% 0.87/1.43 { ! Z = X, alpha35( X, Y, Z, T ) }.
% 0.87/1.43 { ! c_member( tc_prod( tc_Arrow__Order__Mirabelle_Oalt,
% 0.87/1.43 tc_Arrow__Order__Mirabelle_Oalt ), c_Product__Type_OPair(
% 0.87/1.43 tc_Arrow__Order__Mirabelle_Oalt, tc_Arrow__Order__Mirabelle_Oalt, T, Z )
% 0.87/1.43 , Y ), alpha35( X, Y, Z, T ) }.
% 0.87/1.43 { ! alpha2( X, Y, Z ), ! Y = X, ! Z = Y }.
% 0.87/1.43 { Y = X, alpha2( X, Y, Z ) }.
% 0.87/1.43 { Z = Y, alpha2( X, Y, Z ) }.
% 0.87/1.43 { ! hBOOL( hAPP( hAPP( c_FunDef_Oin__rel( U, T, Z ), Y ), X ) ), c_member(
% 0.87/1.43 tc_prod( U, T ), c_Product__Type_OPair( U, T, Y, X ), Z ) }.
% 0.87/1.43 { ! c_member( tc_prod( U, T ), c_Product__Type_OPair( U, T, Y, X ), Z ),
% 0.87/1.43 hBOOL( hAPP( hAPP( c_FunDef_Oin__rel( U, T, Z ), Y ), X ) ) }.
% 0.87/1.43 { ! hBOOL( hAPP( Y, X ) ), ! c_member( tc_prod( W, W ),
% 0.87/1.43 c_Product__Type_OPair( W, W, U, T ), hAPP( Z, X ) ), c_member( tc_prod(
% 0.87/1.43 tc_prod( V0, W ), tc_prod( V0, W ) ), c_Product__Type_OPair( tc_prod( V0
% 0.87/1.43 , W ), tc_prod( V0, W ), c_Product__Type_OPair( V0, W, X, U ),
% 0.87/1.43 c_Product__Type_OPair( V0, W, X, T ) ), c_Recdef_Osame__fst( V0, W, Y, Z
% 0.87/1.43 ) ) }.
% 0.87/1.43 { ! c_Nitpick_Orefl_H( Y, X ), c_member( tc_prod( Y, Y ),
% 0.87/1.43 c_Product__Type_OPair( Y, Y, Z, Z ), X ) }.
% 0.87/1.43 { ! c_member( tc_prod( Y, Y ), c_Product__Type_OPair( Y, Y, skol2( X, Y ),
% 0.87/1.43 skol2( X, Y ) ), X ), c_Nitpick_Orefl_H( Y, X ) }.
% 0.87/1.43 { ! hBOOL( hAPP( Z, skol3( Z ) ) ), hBOOL( hAPP( Z, c_Product__Type_OPair(
% 0.87/1.43 Y, X, T, U ) ) ) }.
% 0.87/1.43 { ! hBOOL( hAPP( Z, c_Product__Type_OPair( Y, X, skol76( X, Y, Z ), skol96
% 0.87/1.43 ( X, Y, Z ) ) ) ), hBOOL( hAPP( Z, T ) ) }.
% 0.87/1.43 { ! c_Product__Type_OPair( W, U, T, Z ) = c_Product__Type_OPair( W, U, Y, X
% 0.87/1.43 ), T = Y }.
% 0.87/1.43 { ! c_Product__Type_OPair( W, U, T, Z ) = c_Product__Type_OPair( W, U, Y, X
% 0.87/1.43 ), Z = X }.
% 0.87/1.43 { ! T = Y, ! Z = X, c_Product__Type_OPair( W, U, T, Z ) =
% 0.87/1.43 c_Product__Type_OPair( W, U, Y, X ) }.
% 0.87/1.43 { ! c_Product__Type_OPair( W, U, T, Z ) = c_Product__Type_OPair( W, U, Y, X
% 0.87/1.43 ), T = Y }.
% 0.87/1.43 { ! c_Product__Type_OPair( W, U, T, Z ) = c_Product__Type_OPair( W, U, Y, X
% 0.87/1.43 ), Z = X }.
% 0.87/1.43 { ! c_member( Z, Y, X ), hBOOL( hAPP( X, Y ) ) }.
% 0.87/1.43 { ! hBOOL( hAPP( X, Y ) ), c_member( Z, Y, X ) }.
% 0.87/1.43 { ! Y = X, ! c_member( T, X, Z ), c_member( T, Y, Z ) }.
% 0.87/1.43 { ! Y = X, ! c_member( T, Y, Z ), c_member( T, X, Z ) }.
% 0.87/1.43 { ! Y = X, ! c_member( T, X, Z ), c_member( T, Y, Z ) }.
% 0.87/1.43 { ! Y = X, ! c_member( T, Z, Y ), c_member( T, Z, X ) }.
% 0.87/1.43 { ! Y = X, ! c_member( T, Z, X ), c_member( T, Z, Y ) }.
% 0.87/1.43 { c_Product__Type_Oprod_Oprod__rec( W, U, T, Z, c_Product__Type_OPair( W, U
% 0.87/1.43 , Y, X ) ) = hAPP( hAPP( Z, Y ), X ) }.
% 0.87/1.43 { ! c_member( tc_prod( tc_prod( V1, V0 ), tc_prod( V1, V0 ) ),
% 0.87/1.43 c_Product__Type_OPair( tc_prod( V1, V0 ), tc_prod( V1, V0 ),
% 0.87/1.43 c_Product__Type_OPair( V1, V0, W, U ), c_Product__Type_OPair( V1, V0, T,
% 0.87/1.43 Z ) ), c_Wellfounded_Olex__prod( V1, V0, Y, X ) ), c_member( tc_prod( V1
% 0.87/1.43 , V1 ), c_Product__Type_OPair( V1, V1, W, T ), Y ), alpha3( X, Z, T, U, W
% 0.87/1.43 , V0 ) }.
% 0.87/1.43 { ! c_member( tc_prod( V1, V1 ), c_Product__Type_OPair( V1, V1, W, T ), Y )
% 0.87/1.43 , c_member( tc_prod( tc_prod( V1, V0 ), tc_prod( V1, V0 ) ),
% 0.87/1.43 c_Product__Type_OPair( tc_prod( V1, V0 ), tc_prod( V1, V0 ),
% 0.87/1.43 c_Product__Type_OPair( V1, V0, W, U ), c_Product__Type_OPair( V1, V0, T,
% 0.87/1.43 Z ) ), c_Wellfounded_Olex__prod( V1, V0, Y, X ) ) }.
% 0.87/1.43 { ! alpha3( X, Z, T, U, W, V0 ), c_member( tc_prod( tc_prod( V1, V0 ),
% 0.87/1.43 tc_prod( V1, V0 ) ), c_Product__Type_OPair( tc_prod( V1, V0 ), tc_prod(
% 0.87/1.43 V1, V0 ), c_Product__Type_OPair( V1, V0, W, U ), c_Product__Type_OPair(
% 0.87/1.43 V1, V0, T, Z ) ), c_Wellfounded_Olex__prod( V1, V0, Y, X ) ) }.
% 0.87/1.43 { ! alpha3( X, Y, Z, T, U, W ), U = Z }.
% 0.87/1.43 { ! alpha3( X, Y, Z, T, U, W ), c_member( tc_prod( W, W ),
% 0.87/1.43 c_Product__Type_OPair( W, W, T, Y ), X ) }.
% 0.87/1.43 { ! U = Z, ! c_member( tc_prod( W, W ), c_Product__Type_OPair( W, W, T, Y )
% 0.87/1.43 , X ), alpha3( X, Y, Z, T, U, W ) }.
% 0.87/1.43 { c_Product__Type_Ointernal__split( W, U, T, Z, c_Product__Type_OPair( W, U
% 0.87/1.43 , Y, X ) ) = hAPP( hAPP( Z, Y ), X ) }.
% 0.87/1.43 { ! c_member( tc_fun( tc_prod( tc_Arrow__Order__Mirabelle_Oalt,
% 0.87/1.43 tc_Arrow__Order__Mirabelle_Oalt ), tc_HOL_Obool ), X,
% 0.87/1.43 c_Arrow__Order__Mirabelle_OLin ), ! c_member( tc_prod(
% 0.87/1.43 tc_Arrow__Order__Mirabelle_Oalt, tc_Arrow__Order__Mirabelle_Oalt ),
% 0.87/1.43 c_Product__Type_OPair( tc_Arrow__Order__Mirabelle_Oalt,
% 0.87/1.43 tc_Arrow__Order__Mirabelle_Oalt, Z, Y ), X ), ! c_member( tc_prod(
% 0.87/1.43 tc_Arrow__Order__Mirabelle_Oalt, tc_Arrow__Order__Mirabelle_Oalt ),
% 0.87/1.43 c_Product__Type_OPair( tc_Arrow__Order__Mirabelle_Oalt,
% 0.87/1.43 tc_Arrow__Order__Mirabelle_Oalt, Y, Z ), X ) }.
% 0.87/1.43 { ! c_member( tc_fun( tc_prod( tc_Arrow__Order__Mirabelle_Oalt,
% 0.87/1.43 tc_Arrow__Order__Mirabelle_Oalt ), tc_HOL_Obool ), X,
% 0.87/1.43 c_Arrow__Order__Mirabelle_OLin ), Z = Y, c_member( tc_prod(
% 0.87/1.43 tc_Arrow__Order__Mirabelle_Oalt, tc_Arrow__Order__Mirabelle_Oalt ),
% 0.87/1.43 c_Product__Type_OPair( tc_Arrow__Order__Mirabelle_Oalt,
% 0.87/1.43 tc_Arrow__Order__Mirabelle_Oalt, Z, Y ), X ), c_member( tc_prod(
% 0.87/1.43 tc_Arrow__Order__Mirabelle_Oalt, tc_Arrow__Order__Mirabelle_Oalt ),
% 0.87/1.43 c_Product__Type_OPair( tc_Arrow__Order__Mirabelle_Oalt,
% 0.87/1.43 tc_Arrow__Order__Mirabelle_Oalt, Y, Z ), X ) }.
% 0.87/1.43 { ! c_member( tc_fun( tc_prod( tc_Arrow__Order__Mirabelle_Oalt,
% 0.87/1.43 tc_Arrow__Order__Mirabelle_Oalt ), tc_HOL_Obool ), X,
% 0.87/1.43 c_Arrow__Order__Mirabelle_OLin ), Z = Y, ! c_member( tc_prod(
% 0.87/1.43 tc_Arrow__Order__Mirabelle_Oalt, tc_Arrow__Order__Mirabelle_Oalt ),
% 0.87/1.43 c_Product__Type_OPair( tc_Arrow__Order__Mirabelle_Oalt,
% 0.87/1.43 tc_Arrow__Order__Mirabelle_Oalt, Y, Z ), X ), ! c_member( tc_prod(
% 0.87/1.43 tc_Arrow__Order__Mirabelle_Oalt, tc_Arrow__Order__Mirabelle_Oalt ),
% 0.87/1.43 c_Product__Type_OPair( tc_Arrow__Order__Mirabelle_Oalt,
% 0.87/1.43 tc_Arrow__Order__Mirabelle_Oalt, Z, Y ), X ) }.
% 0.87/1.43 { ! c_Recdef_Owfrec__rel( W, U, T, Z, Y, hAPP( hAPP( Z, X ), Y ) ), hAPP(
% 0.87/1.43 hAPP( Z, X ), Y ) = hAPP( hAPP( Z, skol4( X, Y, Z, V0, V1, V2 ) ), Y ) }
% 0.87/1.43 .
% 0.87/1.43 { ! c_Recdef_Owfrec__rel( W, U, T, Z, Y, hAPP( hAPP( Z, X ), Y ) ), alpha4
% 0.87/1.43 ( Y, Z, T, U, W, skol4( X, Y, Z, T, U, W ) ) }.
% 0.87/1.43 { ! hAPP( hAPP( Z, X ), Y ) = hAPP( hAPP( Z, V0 ), Y ), ! alpha4( Y, Z, T,
% 0.87/1.43 U, W, V0 ), c_Recdef_Owfrec__rel( W, U, T, Z, Y, hAPP( hAPP( Z, X ), Y )
% 0.87/1.43 ) }.
% 0.87/1.43 { ! alpha4( X, Y, Z, T, U, W ), ! c_member( tc_prod( U, U ),
% 0.87/1.43 c_Product__Type_OPair( U, U, V0, X ), Z ), c_Recdef_Owfrec__rel( U, T, Z
% 0.87/1.43 , Y, V0, hAPP( W, V0 ) ) }.
% 0.87/1.43 { c_member( tc_prod( U, U ), c_Product__Type_OPair( U, U, skol5( X, V0, Z,
% 0.87/1.43 V1, U, V2 ), X ), Z ), alpha4( X, Y, Z, T, U, W ) }.
% 0.87/1.43 { ! c_Recdef_Owfrec__rel( U, T, Z, Y, skol5( X, Y, Z, T, U, W ), hAPP( W,
% 0.87/1.43 skol5( X, Y, Z, T, U, W ) ) ), alpha4( X, Y, Z, T, U, W ) }.
% 0.87/1.43 { ! c_member( tc_fun( tc_prod( tc_Arrow__Order__Mirabelle_Oalt,
% 0.87/1.43 tc_Arrow__Order__Mirabelle_Oalt ), tc_HOL_Obool ), X,
% 0.87/1.43 c_Arrow__Order__Mirabelle_OLin ), c_member( tc_fun( tc_prod(
% 0.87/1.43 tc_Arrow__Order__Mirabelle_Oalt, tc_Arrow__Order__Mirabelle_Oalt ),
% 0.87/1.43 tc_HOL_Obool ), c_Arrow__Order__Mirabelle_Omkbot( X, Y ),
% 0.87/1.43 c_Arrow__Order__Mirabelle_OLin ) }.
% 0.87/1.43 { ! c_member( tc_fun( tc_prod( tc_Arrow__Order__Mirabelle_Oalt,
% 0.87/1.43 tc_Arrow__Order__Mirabelle_Oalt ), tc_HOL_Obool ), X,
% 0.87/1.43 c_Arrow__Order__Mirabelle_OLin ), c_member( tc_fun( tc_prod(
% 0.87/1.43 tc_Arrow__Order__Mirabelle_Oalt, tc_Arrow__Order__Mirabelle_Oalt ),
% 0.87/1.43 tc_HOL_Obool ), c_Arrow__Order__Mirabelle_Omktop( X, Y ),
% 0.87/1.43 c_Arrow__Order__Mirabelle_OLin ) }.
% 0.87/1.43 { ! hBOOL( hAPP( U, c_Product__Type_OPair( T, Z, Y, X ) ) ), hBOOL(
% 0.87/1.43 c_Product__Type_Ocurry( T, Z, tc_HOL_Obool, U, Y, X ) ) }.
% 0.87/1.43 { ! c_member( tc_prod( T, T ), c_Product__Type_OPair( T, T, Z, Y ), X ),
% 0.87/1.43 hAPP( c_Recdef_Ocut( T, W, U, X, Y ), Z ) = hAPP( U, Z ) }.
% 0.87/1.43 { ! c_Recdef_Ocut( W, U, T, Z, Y ) = c_Recdef_Ocut( W, U, X, Z, Y ), !
% 0.87/1.43 c_member( tc_prod( W, W ), c_Product__Type_OPair( W, W, V0, Y ), Z ),
% 0.87/1.43 hAPP( T, V0 ) = hAPP( X, V0 ) }.
% 0.87/1.43 { ! hAPP( T, skol6( X, V0, V1, T, V2 ) ) = hAPP( X, skol6( X, V0, V1, T, V2
% 0.87/1.43 ) ), c_Recdef_Ocut( W, U, T, Z, Y ) = c_Recdef_Ocut( W, U, X, Z, Y ) }.
% 0.87/1.43 { c_member( tc_prod( W, W ), c_Product__Type_OPair( W, W, skol6( X, Y, Z, T
% 0.87/1.43 , W ), Y ), Z ), c_Recdef_Ocut( W, U, T, Z, Y ) = c_Recdef_Ocut( W, U, X
% 0.87/1.43 , Z, Y ) }.
% 0.87/1.43 { ! hBOOL( c_Product__Type_Ocurry( U, T, tc_HOL_Obool, Z, Y, X ) ), hBOOL(
% 0.87/1.43 hAPP( Z, c_Product__Type_OPair( U, T, Y, X ) ) ) }.
% 0.87/1.43 { ! hBOOL( c_Product__Type_Ocurry( U, T, tc_HOL_Obool, Z, Y, X ) ), hBOOL(
% 0.87/1.43 hAPP( Z, c_Product__Type_OPair( U, T, Y, X ) ) ) }.
% 0.87/1.43 { c_Product__Type_Ocurry( W, U, T, Z, Y, X ) = hAPP( Z,
% 0.87/1.43 c_Product__Type_OPair( W, U, Y, X ) ) }.
% 0.87/1.43 { ! c_member( tc_prod( Z, Z ), c_Product__Type_OPair( Z, Z, Y, X ), T ),
% 0.87/1.43 hAPP( c_Recdef_Ocut( Z, U, W, T, X ), Y ) = hAPP( W, Y ) }.
% 0.87/1.43 { Y = X, ! c_member( tc_fun( tc_prod( tc_Arrow__Order__Mirabelle_Oalt,
% 0.87/1.43 tc_Arrow__Order__Mirabelle_Oalt ), tc_HOL_Obool ), Z,
% 0.87/1.43 c_Arrow__Order__Mirabelle_OLin ), ! c_member( tc_prod(
% 0.87/1.43 tc_Arrow__Order__Mirabelle_Oalt, tc_Arrow__Order__Mirabelle_Oalt ),
% 0.87/1.43 c_Product__Type_OPair( tc_Arrow__Order__Mirabelle_Oalt,
% 0.87/1.43 tc_Arrow__Order__Mirabelle_Oalt, U, T ), c_Arrow__Order__Mirabelle_Oabove
% 0.87/1.44 ( Z, Y, X ) ), ! U = T }.
% 0.87/1.44 { Y = X, ! c_member( tc_fun( tc_prod( tc_Arrow__Order__Mirabelle_Oalt,
% 0.87/1.44 tc_Arrow__Order__Mirabelle_Oalt ), tc_HOL_Obool ), Z,
% 0.87/1.44 c_Arrow__Order__Mirabelle_OLin ), ! c_member( tc_prod(
% 0.87/1.44 tc_Arrow__Order__Mirabelle_Oalt, tc_Arrow__Order__Mirabelle_Oalt ),
% 0.87/1.44 c_Product__Type_OPair( tc_Arrow__Order__Mirabelle_Oalt,
% 0.87/1.44 tc_Arrow__Order__Mirabelle_Oalt, U, T ), c_Arrow__Order__Mirabelle_Oabove
% 0.87/1.44 ( Z, Y, X ) ), alpha36( X, Y, Z, T, U ) }.
% 0.87/1.44 { Y = X, ! c_member( tc_fun( tc_prod( tc_Arrow__Order__Mirabelle_Oalt,
% 0.87/1.44 tc_Arrow__Order__Mirabelle_Oalt ), tc_HOL_Obool ), Z,
% 0.87/1.44 c_Arrow__Order__Mirabelle_OLin ), U = T, ! alpha36( X, Y, Z, T, U ),
% 0.87/1.44 c_member( tc_prod( tc_Arrow__Order__Mirabelle_Oalt,
% 0.87/1.44 tc_Arrow__Order__Mirabelle_Oalt ), c_Product__Type_OPair(
% 0.87/1.44 tc_Arrow__Order__Mirabelle_Oalt, tc_Arrow__Order__Mirabelle_Oalt, U, T )
% 0.87/1.44 , c_Arrow__Order__Mirabelle_Oabove( Z, Y, X ) ) }.
% 0.87/1.44 { ! alpha36( X, Y, Z, T, U ), alpha43( X, Y, Z, T, U ) }.
% 0.87/1.44 { ! alpha36( X, Y, Z, T, U ), alpha46( X, Y, Z, T, U ) }.
% 0.87/1.44 { ! alpha43( X, Y, Z, T, U ), ! alpha46( X, Y, Z, T, U ), alpha36( X, Y, Z
% 0.87/1.44 , T, U ) }.
% 0.87/1.44 { ! alpha46( X, Y, Z, T, U ), U = X, alpha49( X, Y, Z, T, U ) }.
% 0.87/1.44 { ! U = X, alpha46( X, Y, Z, T, U ) }.
% 0.87/1.44 { ! alpha49( X, Y, Z, T, U ), alpha46( X, Y, Z, T, U ) }.
% 0.87/1.44 { ! alpha49( X, Y, Z, T, U ), alpha51( X, Y, Z, T, U ) }.
% 0.87/1.44 { ! alpha49( X, Y, Z, T, U ), alpha24( X, Z, T, U ) }.
% 0.87/1.44 { ! alpha51( X, Y, Z, T, U ), ! alpha24( X, Z, T, U ), alpha49( X, Y, Z, T
% 0.87/1.44 , U ) }.
% 0.87/1.44 { ! alpha51( X, Y, Z, T, U ), ! T = X, alpha5( Y, Z, U ) }.
% 0.87/1.44 { T = X, alpha51( X, Y, Z, T, U ) }.
% 0.87/1.44 { ! alpha5( Y, Z, U ), alpha51( X, Y, Z, T, U ) }.
% 0.87/1.44 { ! alpha43( X, Y, Z, T, U ), ! U = X, c_member( tc_prod(
% 0.87/1.44 tc_Arrow__Order__Mirabelle_Oalt, tc_Arrow__Order__Mirabelle_Oalt ),
% 0.87/1.44 c_Product__Type_OPair( tc_Arrow__Order__Mirabelle_Oalt,
% 0.87/1.44 tc_Arrow__Order__Mirabelle_Oalt, Y, T ), Z ) }.
% 0.87/1.44 { U = X, alpha43( X, Y, Z, T, U ) }.
% 0.87/1.44 { ! c_member( tc_prod( tc_Arrow__Order__Mirabelle_Oalt,
% 0.87/1.44 tc_Arrow__Order__Mirabelle_Oalt ), c_Product__Type_OPair(
% 0.87/1.44 tc_Arrow__Order__Mirabelle_Oalt, tc_Arrow__Order__Mirabelle_Oalt, Y, T )
% 0.87/1.44 , Z ), alpha43( X, Y, Z, T, U ) }.
% 0.87/1.44 { ! alpha24( X, Y, Z, T ), Z = X, c_member( tc_prod(
% 0.87/1.44 tc_Arrow__Order__Mirabelle_Oalt, tc_Arrow__Order__Mirabelle_Oalt ),
% 0.87/1.44 c_Product__Type_OPair( tc_Arrow__Order__Mirabelle_Oalt,
% 0.87/1.44 tc_Arrow__Order__Mirabelle_Oalt, T, Z ), Y ) }.
% 0.87/1.44 { ! Z = X, alpha24( X, Y, Z, T ) }.
% 0.87/1.44 { ! c_member( tc_prod( tc_Arrow__Order__Mirabelle_Oalt,
% 0.87/1.44 tc_Arrow__Order__Mirabelle_Oalt ), c_Product__Type_OPair(
% 0.87/1.44 tc_Arrow__Order__Mirabelle_Oalt, tc_Arrow__Order__Mirabelle_Oalt, T, Z )
% 0.87/1.44 , Y ), alpha24( X, Y, Z, T ) }.
% 0.87/1.44 { ! alpha5( X, Y, Z ), Z = X, c_member( tc_prod(
% 0.87/1.44 tc_Arrow__Order__Mirabelle_Oalt, tc_Arrow__Order__Mirabelle_Oalt ),
% 0.87/1.44 c_Product__Type_OPair( tc_Arrow__Order__Mirabelle_Oalt,
% 0.87/1.44 tc_Arrow__Order__Mirabelle_Oalt, Z, X ), Y ) }.
% 0.87/1.44 { ! Z = X, alpha5( X, Y, Z ) }.
% 0.87/1.44 { ! c_member( tc_prod( tc_Arrow__Order__Mirabelle_Oalt,
% 0.87/1.44 tc_Arrow__Order__Mirabelle_Oalt ), c_Product__Type_OPair(
% 0.87/1.44 tc_Arrow__Order__Mirabelle_Oalt, tc_Arrow__Order__Mirabelle_Oalt, Z, X )
% 0.87/1.44 , Y ), alpha5( X, Y, Z ) }.
% 0.87/1.44 { Y = X, ! c_member( tc_fun( tc_prod( tc_Arrow__Order__Mirabelle_Oalt,
% 0.87/1.44 tc_Arrow__Order__Mirabelle_Oalt ), tc_HOL_Obool ), Z,
% 0.87/1.44 c_Arrow__Order__Mirabelle_OLin ), ! c_member( tc_prod(
% 0.87/1.44 tc_Arrow__Order__Mirabelle_Oalt, tc_Arrow__Order__Mirabelle_Oalt ),
% 0.87/1.44 c_Product__Type_OPair( tc_Arrow__Order__Mirabelle_Oalt,
% 0.87/1.44 tc_Arrow__Order__Mirabelle_Oalt, U, T ), c_Arrow__Order__Mirabelle_Obelow
% 0.87/1.44 ( Z, Y, X ) ), ! U = T }.
% 0.87/1.44 { Y = X, ! c_member( tc_fun( tc_prod( tc_Arrow__Order__Mirabelle_Oalt,
% 0.87/1.44 tc_Arrow__Order__Mirabelle_Oalt ), tc_HOL_Obool ), Z,
% 0.87/1.44 c_Arrow__Order__Mirabelle_OLin ), ! c_member( tc_prod(
% 0.87/1.44 tc_Arrow__Order__Mirabelle_Oalt, tc_Arrow__Order__Mirabelle_Oalt ),
% 0.87/1.44 c_Product__Type_OPair( tc_Arrow__Order__Mirabelle_Oalt,
% 0.87/1.44 tc_Arrow__Order__Mirabelle_Oalt, U, T ), c_Arrow__Order__Mirabelle_Obelow
% 0.87/1.44 ( Z, Y, X ) ), alpha37( X, Y, Z, T, U ) }.
% 0.87/1.44 { Y = X, ! c_member( tc_fun( tc_prod( tc_Arrow__Order__Mirabelle_Oalt,
% 0.87/1.44 tc_Arrow__Order__Mirabelle_Oalt ), tc_HOL_Obool ), Z,
% 0.87/1.44 c_Arrow__Order__Mirabelle_OLin ), U = T, ! alpha37( X, Y, Z, T, U ),
% 0.87/1.44 c_member( tc_prod( tc_Arrow__Order__Mirabelle_Oalt,
% 0.87/1.44 tc_Arrow__Order__Mirabelle_Oalt ), c_Product__Type_OPair(
% 0.87/1.44 tc_Arrow__Order__Mirabelle_Oalt, tc_Arrow__Order__Mirabelle_Oalt, U, T )
% 0.87/1.44 , c_Arrow__Order__Mirabelle_Obelow( Z, Y, X ) ) }.
% 0.87/1.44 { ! alpha37( X, Y, Z, T, U ), alpha44( X, Y, Z, T, U ) }.
% 0.87/1.44 { ! alpha37( X, Y, Z, T, U ), alpha47( X, Y, Z, T, U ) }.
% 0.87/1.44 { ! alpha44( X, Y, Z, T, U ), ! alpha47( X, Y, Z, T, U ), alpha37( X, Y, Z
% 0.87/1.44 , T, U ) }.
% 0.87/1.44 { ! alpha47( X, Y, Z, T, U ), T = Y, alpha50( X, Y, Z, T, U ) }.
% 0.87/1.44 { ! T = Y, alpha47( X, Y, Z, T, U ) }.
% 0.87/1.44 { ! alpha50( X, Y, Z, T, U ), alpha47( X, Y, Z, T, U ) }.
% 0.87/1.44 { ! alpha50( X, Y, Z, T, U ), alpha52( X, Y, Z, T, U ) }.
% 0.87/1.44 { ! alpha50( X, Y, Z, T, U ), alpha25( Y, Z, T, U ) }.
% 0.87/1.44 { ! alpha52( X, Y, Z, T, U ), ! alpha25( Y, Z, T, U ), alpha50( X, Y, Z, T
% 0.87/1.44 , U ) }.
% 0.87/1.44 { ! alpha52( X, Y, Z, T, U ), ! U = Y, alpha6( X, Z, T ) }.
% 0.87/1.44 { U = Y, alpha52( X, Y, Z, T, U ) }.
% 0.87/1.44 { ! alpha6( X, Z, T ), alpha52( X, Y, Z, T, U ) }.
% 0.87/1.44 { ! alpha44( X, Y, Z, T, U ), ! T = Y, c_member( tc_prod(
% 0.87/1.44 tc_Arrow__Order__Mirabelle_Oalt, tc_Arrow__Order__Mirabelle_Oalt ),
% 0.87/1.44 c_Product__Type_OPair( tc_Arrow__Order__Mirabelle_Oalt,
% 0.87/1.44 tc_Arrow__Order__Mirabelle_Oalt, U, X ), Z ) }.
% 0.87/1.44 { T = Y, alpha44( X, Y, Z, T, U ) }.
% 0.87/1.44 { ! c_member( tc_prod( tc_Arrow__Order__Mirabelle_Oalt,
% 0.87/1.44 tc_Arrow__Order__Mirabelle_Oalt ), c_Product__Type_OPair(
% 0.87/1.44 tc_Arrow__Order__Mirabelle_Oalt, tc_Arrow__Order__Mirabelle_Oalt, U, X )
% 0.87/1.44 , Z ), alpha44( X, Y, Z, T, U ) }.
% 0.87/1.44 { ! alpha25( X, Y, Z, T ), T = X, c_member( tc_prod(
% 0.87/1.44 tc_Arrow__Order__Mirabelle_Oalt, tc_Arrow__Order__Mirabelle_Oalt ),
% 0.87/1.44 c_Product__Type_OPair( tc_Arrow__Order__Mirabelle_Oalt,
% 0.87/1.44 tc_Arrow__Order__Mirabelle_Oalt, T, Z ), Y ) }.
% 0.87/1.44 { ! T = X, alpha25( X, Y, Z, T ) }.
% 0.87/1.44 { ! c_member( tc_prod( tc_Arrow__Order__Mirabelle_Oalt,
% 0.87/1.44 tc_Arrow__Order__Mirabelle_Oalt ), c_Product__Type_OPair(
% 0.87/1.44 tc_Arrow__Order__Mirabelle_Oalt, tc_Arrow__Order__Mirabelle_Oalt, T, Z )
% 0.87/1.44 , Y ), alpha25( X, Y, Z, T ) }.
% 0.87/1.44 { ! alpha6( X, Y, Z ), Z = X, c_member( tc_prod(
% 0.87/1.44 tc_Arrow__Order__Mirabelle_Oalt, tc_Arrow__Order__Mirabelle_Oalt ),
% 0.87/1.44 c_Product__Type_OPair( tc_Arrow__Order__Mirabelle_Oalt,
% 0.87/1.44 tc_Arrow__Order__Mirabelle_Oalt, X, Z ), Y ) }.
% 0.87/1.44 { ! Z = X, alpha6( X, Y, Z ) }.
% 0.87/1.44 { ! c_member( tc_prod( tc_Arrow__Order__Mirabelle_Oalt,
% 0.87/1.44 tc_Arrow__Order__Mirabelle_Oalt ), c_Product__Type_OPair(
% 0.87/1.44 tc_Arrow__Order__Mirabelle_Oalt, tc_Arrow__Order__Mirabelle_Oalt, X, Z )
% 0.87/1.44 , Y ), alpha6( X, Y, Z ) }.
% 0.87/1.44 { ! c_Recdef_Owfrec__rel( W, U, T, Z, Y, X ), X = hAPP( hAPP( Z, skol7( X,
% 0.87/1.44 Y, Z, V0, V1, V2 ) ), Y ) }.
% 0.87/1.44 { ! c_Recdef_Owfrec__rel( W, U, T, Z, Y, X ), alpha7( Y, Z, T, U, W, skol7
% 0.87/1.44 ( X, Y, Z, T, U, W ) ) }.
% 0.87/1.44 { ! X = hAPP( hAPP( Z, V0 ), Y ), ! alpha7( Y, Z, T, U, W, V0 ),
% 0.87/1.44 c_Recdef_Owfrec__rel( W, U, T, Z, Y, X ) }.
% 0.87/1.44 { ! alpha7( X, Y, Z, T, U, W ), ! c_member( tc_prod( U, U ),
% 0.87/1.44 c_Product__Type_OPair( U, U, V0, X ), Z ), c_Recdef_Owfrec__rel( U, T, Z
% 0.87/1.44 , Y, V0, hAPP( W, V0 ) ) }.
% 0.87/1.44 { c_member( tc_prod( U, U ), c_Product__Type_OPair( U, U, skol8( X, V0, Z,
% 0.87/1.44 V1, U, V2 ), X ), Z ), alpha7( X, Y, Z, T, U, W ) }.
% 0.87/1.44 { ! c_Recdef_Owfrec__rel( U, T, Z, Y, skol8( X, Y, Z, T, U, W ), hAPP( W,
% 0.87/1.44 skol8( X, Y, Z, T, U, W ) ) ), alpha7( X, Y, Z, T, U, W ) }.
% 0.87/1.44 { c_member( tc_prod( W, W ), c_Product__Type_OPair( W, W, skol9( V0, V1, V2
% 0.87/1.44 , T, U, W ), U ), T ), c_Recdef_Owfrec__rel( W, Z, T, Y, U, hAPP( hAPP( Y
% 0.87/1.44 , X ), U ) ) }.
% 0.87/1.44 { ! c_Recdef_Owfrec__rel( W, Z, T, Y, skol9( X, Y, Z, T, U, W ), hAPP( X,
% 0.87/1.44 skol9( X, Y, Z, T, U, W ) ) ), c_Recdef_Owfrec__rel( W, Z, T, Y, U, hAPP
% 0.87/1.44 ( hAPP( Y, X ), U ) ) }.
% 0.87/1.44 { ! c_member( Z, Y, c_Wellfounded_Oacc( Z, X ) ), ! c_member( tc_prod( Z, Z
% 0.87/1.44 ), c_Product__Type_OPair( Z, Z, T, Y ), X ), c_member( Z, T,
% 0.87/1.44 c_Wellfounded_Oacc( Z, X ) ) }.
% 0.87/1.44 { ! c_member( Z, skol10( X, T, Z ), c_Wellfounded_Oacc( Z, X ) ), c_member
% 0.87/1.44 ( Z, Y, c_Wellfounded_Oacc( Z, X ) ) }.
% 0.87/1.44 { c_member( tc_prod( Z, Z ), c_Product__Type_OPair( Z, Z, skol10( X, Y, Z )
% 0.87/1.44 , Y ), X ), c_member( Z, Y, c_Wellfounded_Oacc( Z, X ) ) }.
% 0.87/1.44 { ! c_member( Z, Y, c_Wellfounded_Oacc( Z, X ) ), ! c_member( tc_prod( Z, Z
% 0.87/1.44 ), c_Product__Type_OPair( Z, Z, T, Y ), X ), c_member( Z, T,
% 0.87/1.44 c_Wellfounded_Oacc( Z, X ) ) }.
% 0.87/1.44 { c_member( tc_fun( tc_prod( tc_Arrow__Order__Mirabelle_Oalt,
% 0.87/1.44 tc_Arrow__Order__Mirabelle_Oalt ), tc_HOL_Obool ), skol11,
% 0.87/1.44 c_Arrow__Order__Mirabelle_OLin ) }.
% 0.87/1.44 { c_Nitpick_Owf__wfrec_H( U, T, Z, Y, X ) = hAPP( hAPP( Y, c_Recdef_Ocut( U
% 0.87/1.44 , T, c_Nitpick_Owf__wfrec( U, T, Z, Y ), Z, X ) ), X ) }.
% 0.87/1.44 { ! c_member( Z, Y, c_fequal( X ) ), Y = X }.
% 0.87/1.44 { ! Y = X, c_member( Z, Y, c_fequal( X ) ) }.
% 0.87/1.44 { ! c_member( Z, Y, X ), ! c_member( W, U, hAPP( T, Y ) ), c_member(
% 0.87/1.44 tc_prod( Z, W ), c_Product__Type_OPair( Z, W, Y, U ),
% 0.87/1.44 c_Product__Type_OSigma( Z, W, X, T ) ) }.
% 0.87/1.44 { ! c_member( tc_prod( W, U ), c_Product__Type_OPair( W, U, T, Z ),
% 0.87/1.44 c_Product__Type_OSigma( W, U, Y, X ) ), c_member( W, T, Y ) }.
% 0.87/1.44 { ! c_member( tc_prod( W, U ), c_Product__Type_OPair( W, U, T, Z ),
% 0.87/1.44 c_Product__Type_OSigma( W, U, Y, X ) ), c_member( U, Z, hAPP( X, T ) ) }
% 0.87/1.44 .
% 0.87/1.44 { ! c_member( tc_prod( W, T ), c_Product__Type_OPair( W, T, Z, Y ),
% 0.87/1.44 c_Product__Type_OSigma( W, T, U, X ) ), c_member( T, Y, hAPP( X, Z ) ) }
% 0.87/1.44 .
% 0.87/1.44 { ! c_member( tc_prod( Z, W ), c_Product__Type_OPair( Z, W, Y, U ),
% 0.87/1.44 c_Product__Type_OSigma( Z, W, X, T ) ), c_member( Z, Y, X ) }.
% 0.87/1.44 { ! c_member( tc_prod( W, U ), c_Product__Type_OPair( W, U, T, Z ),
% 0.87/1.44 c_Product__Type_OSigma( W, U, Y, X ) ), c_member( W, T, Y ) }.
% 0.87/1.44 { ! c_member( tc_prod( W, U ), c_Product__Type_OPair( W, U, T, Z ),
% 0.87/1.44 c_Product__Type_OSigma( W, U, Y, X ) ), c_member( U, Z, hAPP( X, T ) ) }
% 0.87/1.44 .
% 0.87/1.44 { ! c_member( W, T, Y ), ! c_member( U, Z, hAPP( X, T ) ), c_member(
% 0.87/1.44 tc_prod( W, U ), c_Product__Type_OPair( W, U, T, Z ),
% 0.87/1.44 c_Product__Type_OSigma( W, U, Y, X ) ) }.
% 0.87/1.44 { ! c_member( tc_prod( U, T ), Z, c_Product__Type_OSigma( U, T, Y, X ) ),
% 0.87/1.44 c_member( U, skol12( W, Y, V0, V1, U ), Y ) }.
% 0.87/1.44 { ! c_member( tc_prod( U, T ), Z, c_Product__Type_OSigma( U, T, Y, X ) ),
% 0.87/1.44 c_member( T, skol77( X, Y, Z, T, U ), hAPP( X, skol12( X, Y, Z, T, U ) )
% 0.87/1.44 ) }.
% 0.87/1.44 { ! c_member( tc_prod( U, T ), Z, c_Product__Type_OSigma( U, T, Y, X ) ), Z
% 0.87/1.44 = c_Product__Type_OPair( U, T, skol12( X, Y, Z, T, U ), skol77( X, Y, Z
% 0.87/1.44 , T, U ) ) }.
% 0.87/1.44 { c_member( Z, Y, c_Wellfounded_Oacc( Z, X ) ), ! c_member( Z, skol13( X, T
% 0.87/1.44 , Z ), c_Wellfounded_Oacc( Z, X ) ) }.
% 0.87/1.44 { c_member( Z, Y, c_Wellfounded_Oacc( Z, X ) ), c_member( tc_prod( Z, Z ),
% 0.87/1.44 c_Product__Type_OPair( Z, Z, skol13( X, Y, Z ), Y ), X ) }.
% 0.87/1.44 { ! c_member( Z, skol14( X, T, Z ), c_Wellfounded_Oacc( Z, X ) ), c_member
% 0.87/1.44 ( Z, Y, c_Wellfounded_Oacc( Z, X ) ) }.
% 0.87/1.44 { c_member( tc_prod( Z, Z ), c_Product__Type_OPair( Z, Z, skol14( X, Y, Z )
% 0.87/1.44 , Y ), X ), c_member( Z, Y, c_Wellfounded_Oacc( Z, X ) ) }.
% 0.87/1.44 { ! c_member( tc_prod( T, T ), c_Product__Type_OPair( T, T, Z, Y ),
% 0.87/1.44 c_Transitive__Closure_Ortrancl( T, X ) ), ! c_member( T, Y,
% 0.87/1.44 c_Wellfounded_Oacc( T, X ) ), c_member( T, Z, c_Wellfounded_Oacc( T, X )
% 0.87/1.44 ) }.
% 0.87/1.44 { ! c_member( Z, Y, c_Wellfounded_Oacc( Z, X ) ), ! c_member( tc_prod( Z, Z
% 0.87/1.44 ), c_Product__Type_OPair( Z, Z, T, Y ), c_Transitive__Closure_Ortrancl(
% 0.87/1.44 Z, X ) ), c_member( Z, T, c_Wellfounded_Oacc( Z, X ) ) }.
% 0.87/1.44 { ! c_Relation_Oirrefl( Y, X ), ! c_member( tc_prod( Y, Y ),
% 0.87/1.44 c_Product__Type_OPair( Y, Y, Z, Z ), X ) }.
% 0.87/1.44 { c_member( tc_prod( Y, Y ), c_Product__Type_OPair( Y, Y, skol15( X, Y ),
% 0.87/1.44 skol15( X, Y ) ), X ), c_Relation_Oirrefl( Y, X ) }.
% 0.87/1.44 { ! c_member( tc_fun( tc_prod( tc_Arrow__Order__Mirabelle_Oalt,
% 0.87/1.44 tc_Arrow__Order__Mirabelle_Oalt ), tc_HOL_Obool ), c_Relation_Oconverse(
% 0.87/1.44 tc_Arrow__Order__Mirabelle_Oalt, tc_Arrow__Order__Mirabelle_Oalt, X ),
% 0.87/1.44 c_Arrow__Order__Mirabelle_OLin ), c_member( tc_fun( tc_prod(
% 0.87/1.44 tc_Arrow__Order__Mirabelle_Oalt, tc_Arrow__Order__Mirabelle_Oalt ),
% 0.87/1.44 tc_HOL_Obool ), X, c_Arrow__Order__Mirabelle_OLin ) }.
% 0.87/1.44 { ! c_member( tc_fun( tc_prod( tc_Arrow__Order__Mirabelle_Oalt,
% 0.87/1.44 tc_Arrow__Order__Mirabelle_Oalt ), tc_HOL_Obool ), X,
% 0.87/1.44 c_Arrow__Order__Mirabelle_OLin ), c_member( tc_fun( tc_prod(
% 0.87/1.44 tc_Arrow__Order__Mirabelle_Oalt, tc_Arrow__Order__Mirabelle_Oalt ),
% 0.87/1.44 tc_HOL_Obool ), c_Relation_Oconverse( tc_Arrow__Order__Mirabelle_Oalt,
% 0.87/1.44 tc_Arrow__Order__Mirabelle_Oalt, X ), c_Arrow__Order__Mirabelle_OLin ) }
% 0.87/1.44 .
% 0.87/1.44 { ! c_member( tc_prod( T, Z ), c_Product__Type_OPair( T, Z, U, Y ), X ),
% 0.87/1.44 c_member( Z, Y, c_Relation_ORange( T, Z, X ) ) }.
% 0.87/1.44 { ! Y = X, ! c_member( T, Y, Z ), c_member( tc_prod( T, T ),
% 0.87/1.44 c_Product__Type_OPair( T, T, Y, X ), c_Relation_OId__on( T, Z ) ) }.
% 0.87/1.44 { ! c_member( tc_prod( T, T ), c_Product__Type_OPair( T, T, Z, Y ),
% 0.87/1.44 c_Relation_OId__on( T, X ) ), Z = Y }.
% 0.87/1.44 { ! c_member( tc_prod( T, T ), c_Product__Type_OPair( T, T, Z, Y ),
% 0.87/1.44 c_Relation_OId__on( T, X ) ), c_member( T, Z, X ) }.
% 0.87/1.44 { ! Z = Y, ! c_member( T, Z, X ), c_member( tc_prod( T, T ),
% 0.87/1.44 c_Product__Type_OPair( T, T, Z, Y ), c_Relation_OId__on( T, X ) ) }.
% 0.87/1.44 { c_Relation_Oconverse( Y, Y, c_Relation_OId__on( Y, X ) ) =
% 0.87/1.44 c_Relation_OId__on( Y, X ) }.
% 0.87/1.44 { c_Relation_Oconverse( Z, Y, c_Relation_Oconverse( Y, Z, X ) ) = X }.
% 0.87/1.44 { c_Relation_ORange( Y, Y, c_Relation_OId__on( Y, X ) ) = X }.
% 0.87/1.44 { ! c_member( tc_prod( U, T ), c_Product__Type_OPair( U, T, Z, Y ),
% 0.87/1.44 c_Relation_Oconverse( T, U, X ) ), c_member( tc_prod( T, U ),
% 0.87/1.44 c_Product__Type_OPair( T, U, Y, Z ), X ) }.
% 0.87/1.44 { ! c_member( tc_prod( T, U ), c_Product__Type_OPair( T, U, Y, Z ), X ),
% 0.87/1.44 c_member( tc_prod( U, T ), c_Product__Type_OPair( U, T, Z, Y ),
% 0.87/1.44 c_Relation_Oconverse( T, U, X ) ) }.
% 0.87/1.44 { ! c_member( tc_prod( U, T ), c_Product__Type_OPair( U, T, Z, Y ), X ),
% 0.87/1.44 c_member( tc_prod( T, U ), c_Product__Type_OPair( T, U, Y, Z ),
% 0.87/1.44 c_Relation_Oconverse( U, T, X ) ) }.
% 0.87/1.44 { ! c_member( tc_prod( U, T ), c_Product__Type_OPair( U, T, Z, Y ),
% 0.87/1.44 c_Relation_Oconverse( T, U, X ) ), c_member( tc_prod( T, U ),
% 0.87/1.44 c_Product__Type_OPair( T, U, Y, Z ), X ) }.
% 0.87/1.44 { ! c_member( T, Z, c_Relation_ORange( Y, T, X ) ), c_member( tc_prod( Y, T
% 0.87/1.44 ), c_Product__Type_OPair( Y, T, skol16( X, Y, Z, T ), Z ), X ) }.
% 0.87/1.44 { ! c_member( tc_prod( Y, T ), c_Product__Type_OPair( Y, T, U, Z ), X ),
% 0.87/1.44 c_member( T, Z, c_Relation_ORange( Y, T, X ) ) }.
% 0.87/1.44 { c_member( tc_prod( Z, Z ), c_Product__Type_OPair( Z, Z, Y, Y ),
% 0.87/1.44 c_Transitive__Closure_Ortrancl( Z, X ) ) }.
% 0.87/1.44 { ! c_member( tc_prod( Z, Z ), Y, X ), c_member( tc_prod( Z, Z ), Y,
% 0.87/1.44 c_Transitive__Closure_Ortrancl( Z, X ) ) }.
% 0.87/1.44 { ! c_member( tc_prod( T, T ), c_Product__Type_OPair( T, T, Z, Y ),
% 0.87/1.44 c_Transitive__Closure_Ortrancl( T, X ) ), c_member( tc_prod( T, T ),
% 0.87/1.44 c_Product__Type_OPair( T, T, Y, Z ), c_Transitive__Closure_Ortrancl( T,
% 0.87/1.44 c_Relation_Oconverse( T, T, X ) ) ) }.
% 0.87/1.44 { ! c_member( tc_prod( T, T ), c_Product__Type_OPair( T, T, Z, Y ),
% 0.87/1.44 c_Transitive__Closure_Ortrancl( T, c_Relation_Oconverse( T, T, X ) ) ),
% 0.87/1.44 c_member( tc_prod( T, T ), c_Product__Type_OPair( T, T, Y, Z ),
% 0.87/1.44 c_Transitive__Closure_Ortrancl( T, X ) ) }.
% 0.87/1.44 { ! c_member( tc_prod( T, T ), c_Product__Type_OPair( T, T, Z, Y ), X ), !
% 0.87/1.44 c_member( tc_prod( T, T ), c_Product__Type_OPair( T, T, Y, U ),
% 0.87/1.44 c_Transitive__Closure_Ortrancl( T, X ) ), c_member( tc_prod( T, T ),
% 0.87/1.44 c_Product__Type_OPair( T, T, Z, U ), c_Transitive__Closure_Ortrancl( T, X
% 0.87/1.44 ) ) }.
% 0.87/1.44 { ! c_member( tc_prod( T, T ), c_Product__Type_OPair( T, T, Z, Y ),
% 0.87/1.44 c_Transitive__Closure_Ortrancl( T, X ) ), ! c_member( tc_prod( T, T ),
% 0.87/1.44 c_Product__Type_OPair( T, T, Y, U ), X ), c_member( tc_prod( T, T ),
% 0.87/1.44 c_Product__Type_OPair( T, T, Z, U ), c_Transitive__Closure_Ortrancl( T, X
% 0.87/1.44 ) ) }.
% 0.87/1.44 { ! c_member( tc_prod( T, T ), c_Product__Type_OPair( T, T, Z, Y ),
% 0.87/1.44 c_Transitive__Closure_Ortrancl( T, X ) ), ! c_member( tc_prod( T, T ),
% 0.87/1.44 c_Product__Type_OPair( T, T, Y, U ), c_Transitive__Closure_Ortrancl( T, X
% 0.87/1.44 ) ), c_member( tc_prod( T, T ), c_Product__Type_OPair( T, T, Z, U ),
% 0.87/1.44 c_Transitive__Closure_Ortrancl( T, X ) ) }.
% 0.87/1.44 { c_Transitive__Closure_Ortrancl( Y, c_Relation_Oconverse( Y, Y, X ) ) =
% 0.87/1.44 c_Relation_Oconverse( Y, Y, c_Transitive__Closure_Ortrancl( Y, X ) ) }.
% 0.87/1.44 { ! c_member( tc_prod( Z, Z ), Y, c_Relation_OId__on( Z, X ) ), Y =
% 0.87/1.44 c_Product__Type_OPair( Z, Z, skol17( T, Y, Z ), skol17( T, Y, Z ) ) }.
% 0.87/1.44 { ! c_member( tc_prod( Z, Z ), Y, c_Relation_OId__on( Z, X ) ), c_member( Z
% 0.87/1.44 , skol17( X, Y, Z ), X ) }.
% 0.87/1.44 { c_Transitive__Closure_Ortrancl( Y, c_Transitive__Closure_Ortrancl( Y, X )
% 0.87/1.44 ) = c_Transitive__Closure_Ortrancl( Y, X ) }.
% 0.87/1.44 { ! c_member( T, Z, c_Relation_ORange( Y, T, X ) ), c_member( tc_prod( Y, T
% 0.87/1.44 ), c_Product__Type_OPair( Y, T, skol18( X, Y, Z, T ), Z ), X ) }.
% 0.87/1.44 { ! c_Relation_Osingle__valued( Y, Y, X ), ! c_member( tc_prod( Y, Y ),
% 0.87/1.44 c_Product__Type_OPair( Y, Y, T, Z ), c_Transitive__Closure_Ortrancl( Y, X
% 0.87/1.44 ) ), ! c_member( tc_prod( Y, Y ), c_Product__Type_OPair( Y, Y, T, U ),
% 0.87/1.44 c_Transitive__Closure_Ortrancl( Y, X ) ), c_member( tc_prod( Y, Y ),
% 0.87/1.44 c_Product__Type_OPair( Y, Y, Z, U ), c_Transitive__Closure_Ortrancl( Y, X
% 0.87/1.44 ) ), c_member( tc_prod( Y, Y ), c_Product__Type_OPair( Y, Y, U, Z ),
% 0.87/1.44 c_Transitive__Closure_Ortrancl( Y, X ) ) }.
% 0.87/1.44 { ! c_member( tc_prod( T, Z ), Y, c_Relation_Oconverse( Z, T, X ) ), Y =
% 0.87/1.44 c_Product__Type_OPair( T, Z, skol78( X, Y, Z, T ), skol19( X, Y, Z, T ) )
% 0.87/1.44 }.
% 0.87/1.44 { ! c_member( tc_prod( T, Z ), Y, c_Relation_Oconverse( Z, T, X ) ),
% 0.87/1.44 c_member( tc_prod( Z, T ), c_Product__Type_OPair( Z, T, skol19( X, Y, Z,
% 0.87/1.44 T ), skol78( X, Y, Z, T ) ), X ) }.
% 0.87/1.44 { c_member( Z, Y, c_Relation_ODomain( Z, Z, X ) ), ! c_member( tc_prod( Z,
% 0.87/1.44 Z ), c_Product__Type_OPair( Z, Z, Y, T ), c_Transitive__Closure_Ortrancl
% 0.87/1.44 ( Z, X ) ), Y = T }.
% 0.87/1.44 { c_member( Z, Y, c_Relation_ODomain( Z, Z, X ) ), ! Y = T, c_member(
% 0.87/1.44 tc_prod( Z, Z ), c_Product__Type_OPair( Z, Z, Y, T ),
% 0.87/1.44 c_Transitive__Closure_Ortrancl( Z, X ) ) }.
% 0.87/1.44 { ! c_member( tc_prod( T, Z ), c_Product__Type_OPair( T, Z, Y, U ), X ),
% 0.87/1.44 c_member( T, Y, c_Relation_ODomain( T, Z, X ) ) }.
% 0.87/1.44 { ! c_member( tc_prod( tc_prod( V0, W ), tc_prod( V0, W ) ),
% 0.87/1.44 c_Product__Type_OPair( tc_prod( V0, W ), tc_prod( V0, W ),
% 0.87/1.44 c_Product__Type_OPair( V0, W, U, T ), c_Product__Type_OPair( V0, W, Z, Y
% 0.87/1.44 ) ), c_Transitive__Closure_Ortrancl( tc_prod( V0, W ), X ) ), ! hBOOL(
% 0.87/1.44 hAPP( hAPP( V1, U ), T ) ), c_member( tc_prod( tc_prod( V0, W ), tc_prod
% 0.87/1.44 ( V0, W ) ), c_Product__Type_OPair( tc_prod( V0, W ), tc_prod( V0, W ),
% 0.87/1.44 c_Product__Type_OPair( V0, W, U, T ), c_Product__Type_OPair( V0, W,
% 0.87/1.44 skol20( X, T, U, W, V0, V1 ), skol79( X, T, U, W, V0, V1 ) ) ),
% 0.87/1.44 c_Transitive__Closure_Ortrancl( tc_prod( V0, W ), X ) ), hBOOL( hAPP(
% 0.87/1.44 hAPP( V1, Z ), Y ) ) }.
% 0.87/1.44 { ! c_member( tc_prod( tc_prod( V0, W ), tc_prod( V0, W ) ),
% 0.87/1.44 c_Product__Type_OPair( tc_prod( V0, W ), tc_prod( V0, W ),
% 0.87/1.44 c_Product__Type_OPair( V0, W, U, T ), c_Product__Type_OPair( V0, W, Z, Y
% 0.87/1.44 ) ), c_Transitive__Closure_Ortrancl( tc_prod( V0, W ), X ) ), ! hBOOL(
% 0.87/1.44 hAPP( hAPP( V1, U ), T ) ), alpha54( X, W, V0, V1, skol20( X, T, U, W, V0
% 0.87/1.44 , V1 ), skol79( X, T, U, W, V0, V1 ) ), hBOOL( hAPP( hAPP( V1, Z ), Y ) )
% 0.87/1.44 }.
% 0.87/1.44 { ! alpha54( X, Y, Z, T, U, W ), hBOOL( hAPP( hAPP( T, U ), W ) ) }.
% 0.87/1.44 { ! alpha54( X, Y, Z, T, U, W ), c_member( tc_prod( tc_prod( Z, Y ),
% 0.87/1.44 tc_prod( Z, Y ) ), c_Product__Type_OPair( tc_prod( Z, Y ), tc_prod( Z, Y
% 0.87/1.44 ), c_Product__Type_OPair( Z, Y, U, W ), c_Product__Type_OPair( Z, Y,
% 0.87/1.44 skol21( X, Y, Z, T, U, W ), skol80( X, Y, Z, T, U, W ) ) ), X ) }.
% 0.87/1.44 { ! alpha54( X, Y, Z, T, U, W ), ! hBOOL( hAPP( hAPP( T, skol21( X, Y, Z, T
% 0.87/1.44 , U, W ) ), skol80( X, Y, Z, T, U, W ) ) ) }.
% 0.87/1.44 { ! c_member( tc_prod( tc_prod( Z, Y ), tc_prod( Z, Y ) ),
% 0.87/1.44 c_Product__Type_OPair( tc_prod( Z, Y ), tc_prod( Z, Y ),
% 0.87/1.44 c_Product__Type_OPair( Z, Y, U, W ), c_Product__Type_OPair( Z, Y, V0, V1
% 0.87/1.44 ) ), X ), ! hBOOL( hAPP( hAPP( T, U ), W ) ), hBOOL( hAPP( hAPP( T, V0 )
% 0.87/1.44 , V1 ) ), alpha54( X, Y, Z, T, U, W ) }.
% 0.87/1.44 { ! c_member( tc_prod( tc_prod( V0, W ), tc_prod( V0, W ) ),
% 0.87/1.44 c_Product__Type_OPair( tc_prod( V0, W ), tc_prod( V0, W ),
% 0.87/1.44 c_Product__Type_OPair( V0, W, U, T ), c_Product__Type_OPair( V0, W, Z, Y
% 0.87/1.44 ) ), c_Transitive__Closure_Ortrancl( tc_prod( V0, W ), X ) ), ! hBOOL(
% 0.87/1.44 hAPP( hAPP( V1, Z ), Y ) ), alpha55( X, Y, Z, W, V0, skol22( X, Y, Z, W,
% 0.87/1.44 V0, V1 ), skol81( X, Y, Z, W, V0, V1 ), skol97( X, Y, Z, W, V0, V1 ),
% 0.87/1.44 skol100( X, Y, Z, W, V0, V1 ) ), hBOOL( hAPP( hAPP( V1, U ), T ) ) }.
% 0.87/1.44 { ! c_member( tc_prod( tc_prod( V0, W ), tc_prod( V0, W ) ),
% 0.87/1.44 c_Product__Type_OPair( tc_prod( V0, W ), tc_prod( V0, W ),
% 0.87/1.44 c_Product__Type_OPair( V0, W, U, T ), c_Product__Type_OPair( V0, W, Z, Y
% 0.87/1.44 ) ), c_Transitive__Closure_Ortrancl( tc_prod( V0, W ), X ) ), ! hBOOL(
% 0.87/1.44 hAPP( hAPP( V1, Z ), Y ) ), hBOOL( hAPP( hAPP( V1, skol97( X, Y, Z, W, V0
% 0.87/1.44 , V1 ) ), skol100( X, Y, Z, W, V0, V1 ) ) ), hBOOL( hAPP( hAPP( V1, U ),
% 0.87/1.44 T ) ) }.
% 0.87/1.44 { ! c_member( tc_prod( tc_prod( V0, W ), tc_prod( V0, W ) ),
% 0.87/1.44 c_Product__Type_OPair( tc_prod( V0, W ), tc_prod( V0, W ),
% 0.87/1.44 c_Product__Type_OPair( V0, W, U, T ), c_Product__Type_OPair( V0, W, Z, Y
% 0.87/1.44 ) ), c_Transitive__Closure_Ortrancl( tc_prod( V0, W ), X ) ), ! hBOOL(
% 0.87/1.44 hAPP( hAPP( V1, Z ), Y ) ), ! hBOOL( hAPP( hAPP( V1, skol22( X, Y, Z, W,
% 0.87/1.44 V0, V1 ) ), skol81( X, Y, Z, W, V0, V1 ) ) ), hBOOL( hAPP( hAPP( V1, U )
% 0.87/1.44 , T ) ) }.
% 0.87/1.44 { ! alpha55( X, Y, Z, T, U, W, V0, V1, V2 ), c_member( tc_prod( tc_prod( U
% 0.87/1.44 , T ), tc_prod( U, T ) ), c_Product__Type_OPair( tc_prod( U, T ), tc_prod
% 0.87/1.44 ( U, T ), c_Product__Type_OPair( U, T, W, V0 ), c_Product__Type_OPair( U
% 0.87/1.44 , T, V1, V2 ) ), X ) }.
% 0.87/1.44 { ! alpha55( X, Y, Z, T, U, W, V0, V1, V2 ), c_member( tc_prod( tc_prod( U
% 0.87/1.44 , T ), tc_prod( U, T ) ), c_Product__Type_OPair( tc_prod( U, T ), tc_prod
% 0.87/1.44 ( U, T ), c_Product__Type_OPair( U, T, V1, V2 ), c_Product__Type_OPair( U
% 0.87/1.44 , T, Z, Y ) ), c_Transitive__Closure_Ortrancl( tc_prod( U, T ), X ) ) }.
% 0.87/1.44 { ! c_member( tc_prod( tc_prod( U, T ), tc_prod( U, T ) ),
% 0.87/1.44 c_Product__Type_OPair( tc_prod( U, T ), tc_prod( U, T ),
% 0.87/1.44 c_Product__Type_OPair( U, T, W, V0 ), c_Product__Type_OPair( U, T, V1, V2
% 0.87/1.44 ) ), X ), ! c_member( tc_prod( tc_prod( U, T ), tc_prod( U, T ) ),
% 0.87/1.44 c_Product__Type_OPair( tc_prod( U, T ), tc_prod( U, T ),
% 0.87/1.44 c_Product__Type_OPair( U, T, V1, V2 ), c_Product__Type_OPair( U, T, Z, Y
% 0.87/1.44 ) ), c_Transitive__Closure_Ortrancl( tc_prod( U, T ), X ) ), alpha55( X
% 0.87/1.44 , Y, Z, T, U, W, V0, V1, V2 ) }.
% 0.87/1.44 { ! c_member( tc_prod( tc_prod( V0, W ), tc_prod( V0, W ) ),
% 0.87/1.44 c_Product__Type_OPair( tc_prod( V0, W ), tc_prod( V0, W ),
% 0.87/1.44 c_Product__Type_OPair( V0, W, U, T ), c_Product__Type_OPair( V0, W, Z, Y
% 0.87/1.44 ) ), c_Transitive__Closure_Ortrancl( tc_prod( V0, W ), X ) ),
% 0.87/1.44 c_Product__Type_OPair( V0, W, U, T ) = c_Product__Type_OPair( V0, W, Z, Y
% 0.87/1.44 ), c_member( tc_prod( tc_prod( V0, W ), tc_prod( V0, W ) ),
% 0.87/1.44 c_Product__Type_OPair( tc_prod( V0, W ), tc_prod( V0, W ),
% 0.87/1.44 c_Product__Type_OPair( V0, W, U, T ), c_Product__Type_OPair( V0, W,
% 0.87/1.44 skol23( X, Y, Z, T, U, W, V0 ), skol82( X, Y, Z, T, U, W, V0 ) ) ), X ) }
% 0.87/1.44 .
% 0.87/1.44 { ! c_member( tc_prod( tc_prod( V0, W ), tc_prod( V0, W ) ),
% 0.87/1.44 c_Product__Type_OPair( tc_prod( V0, W ), tc_prod( V0, W ),
% 0.87/1.44 c_Product__Type_OPair( V0, W, U, T ), c_Product__Type_OPair( V0, W, Z, Y
% 0.87/1.44 ) ), c_Transitive__Closure_Ortrancl( tc_prod( V0, W ), X ) ),
% 0.87/1.44 c_Product__Type_OPair( V0, W, U, T ) = c_Product__Type_OPair( V0, W, Z, Y
% 0.87/1.44 ), c_member( tc_prod( tc_prod( V0, W ), tc_prod( V0, W ) ),
% 0.87/1.44 c_Product__Type_OPair( tc_prod( V0, W ), tc_prod( V0, W ),
% 0.87/1.44 c_Product__Type_OPair( V0, W, skol23( X, Y, Z, T, U, W, V0 ), skol82( X,
% 0.87/1.44 Y, Z, T, U, W, V0 ) ), c_Product__Type_OPair( V0, W, Z, Y ) ),
% 0.87/1.44 c_Transitive__Closure_Ortrancl( tc_prod( V0, W ), X ) ) }.
% 0.87/1.44 { ! c_member( tc_prod( T, T ), c_Product__Type_OPair( T, T, Z, Y ),
% 0.87/1.44 c_Transitive__Closure_Ortrancl( T, X ) ), Z = Y, c_member( tc_prod( T, T
% 0.87/1.44 ), c_Product__Type_OPair( T, T, Z, skol24( X, U, Z, T ) ),
% 0.87/1.44 c_Transitive__Closure_Ortrancl( T, X ) ) }.
% 0.87/1.44 { ! c_member( tc_prod( T, T ), c_Product__Type_OPair( T, T, Z, Y ),
% 0.87/1.44 c_Transitive__Closure_Ortrancl( T, X ) ), Z = Y, c_member( tc_prod( T, T
% 0.87/1.44 ), c_Product__Type_OPair( T, T, skol24( X, Y, Z, T ), Y ), X ) }.
% 0.87/1.44 { c_Relation_ODomain( Y, Y, c_Relation_OId__on( Y, X ) ) = X }.
% 0.87/1.44 { c_Relation_Osingle__valued( Y, Y, c_Relation_OId__on( Y, X ) ) }.
% 0.87/1.44 { c_Relation_ORange( Z, Y, X ) = c_Relation_ODomain( Y, Z,
% 0.87/1.44 c_Relation_Oconverse( Z, Y, X ) ) }.
% 0.87/1.44 { c_Relation_ODomain( Z, Y, c_Relation_Oconverse( Y, Z, X ) ) =
% 0.87/1.44 c_Relation_ORange( Y, Z, X ) }.
% 0.87/1.44 { c_Relation_ORange( Z, Y, c_Relation_Oconverse( Y, Z, X ) ) =
% 0.87/1.44 c_Relation_ODomain( Y, Z, X ) }.
% 0.87/1.44 { ! c_Relation_Osingle__valued( Z, Y, X ), ! c_member( tc_prod( Z, Y ),
% 0.87/1.44 c_Product__Type_OPair( Z, Y, T, U ), X ), alpha8( X, Y, Z, T, U ) }.
% 0.87/1.44 { c_member( tc_prod( Z, Y ), c_Product__Type_OPair( Z, Y, skol25( X, Y, Z )
% 0.87/1.44 , skol83( X, Y, Z ) ), X ), c_Relation_Osingle__valued( Z, Y, X ) }.
% 0.87/1.44 { ! alpha8( X, Y, Z, skol25( X, Y, Z ), skol83( X, Y, Z ) ),
% 0.87/1.44 c_Relation_Osingle__valued( Z, Y, X ) }.
% 0.87/1.44 { ! alpha8( X, Y, Z, T, U ), ! c_member( tc_prod( Z, Y ),
% 0.87/1.44 c_Product__Type_OPair( Z, Y, T, W ), X ), U = W }.
% 0.87/1.44 { ! U = skol26( W, V0, V1, V2, U ), alpha8( X, Y, Z, T, U ) }.
% 0.87/1.44 { c_member( tc_prod( Z, Y ), c_Product__Type_OPair( Z, Y, T, skol26( X, Y,
% 0.87/1.44 Z, T, U ) ), X ), alpha8( X, Y, Z, T, U ) }.
% 0.87/1.44 { ! c_Relation_Osingle__valued( Z, Y, X ), ! c_member( tc_prod( Z, Y ),
% 0.87/1.44 c_Product__Type_OPair( Z, Y, U, T ), X ), ! c_member( tc_prod( Z, Y ),
% 0.87/1.44 c_Product__Type_OPair( Z, Y, U, W ), X ), T = W }.
% 0.87/1.44 { ! c_member( T, Z, c_Relation_ODomain( T, Y, X ) ), c_member( tc_prod( T,
% 0.87/1.44 Y ), c_Product__Type_OPair( T, Y, Z, skol27( X, Y, Z, T ) ), X ) }.
% 0.87/1.44 { ! c_member( tc_prod( T, Y ), c_Product__Type_OPair( T, Y, Z, U ), X ),
% 0.87/1.44 c_member( T, Z, c_Relation_ODomain( T, Y, X ) ) }.
% 0.87/1.44 { ! c_member( T, Z, c_Relation_ODomain( T, Y, X ) ), c_member( tc_prod( T,
% 0.87/1.44 Y ), c_Product__Type_OPair( T, Y, Z, skol28( X, Y, Z, T ) ), X ) }.
% 0.87/1.44 { c_member( tc_prod( Z, Y ), c_Product__Type_OPair( Z, Y, skol29( X, Y, Z )
% 0.87/1.44 , skol84( X, Y, Z ) ), X ), c_Relation_Osingle__valued( Z, Y, X ) }.
% 0.87/1.44 { c_member( tc_prod( Z, Y ), c_Product__Type_OPair( Z, Y, skol29( X, Y, Z )
% 0.87/1.44 , skol98( X, Y, Z ) ), X ), c_Relation_Osingle__valued( Z, Y, X ) }.
% 0.87/1.44 { ! skol84( X, Y, Z ) = skol98( X, Y, Z ), c_Relation_Osingle__valued( Z, Y
% 0.87/1.44 , X ) }.
% 0.87/1.44 { ! c_member( tc_prod( T, T ), c_Product__Type_OPair( T, T, Z, Y ),
% 0.87/1.44 c_Transitive__Closure_Ortrancl( T, X ) ), ! hBOOL( hAPP( U, Z ) ),
% 0.87/1.44 c_member( tc_prod( T, T ), c_Product__Type_OPair( T, T, Z, skol30( X, Z,
% 0.87/1.44 T, W ) ), c_Transitive__Closure_Ortrancl( T, X ) ), hBOOL( hAPP( U, Y ) )
% 0.87/1.44 }.
% 0.87/1.44 { ! c_member( tc_prod( T, T ), c_Product__Type_OPair( T, T, Z, Y ),
% 0.87/1.44 c_Transitive__Closure_Ortrancl( T, X ) ), ! hBOOL( hAPP( U, Z ) ),
% 0.87/1.44 alpha56( X, T, U, skol30( X, Z, T, U ) ), hBOOL( hAPP( U, Y ) ) }.
% 0.87/1.44 { ! alpha56( X, Y, Z, T ), ! hBOOL( hAPP( Z, skol31( U, W, Z, V0 ) ) ) }.
% 0.87/1.44 { ! alpha56( X, Y, Z, T ), hBOOL( hAPP( Z, T ) ) }.
% 0.87/1.44 { ! alpha56( X, Y, Z, T ), c_member( tc_prod( Y, Y ), c_Product__Type_OPair
% 0.87/1.44 ( Y, Y, T, skol31( X, Y, Z, T ) ), X ) }.
% 0.87/1.44 { ! c_member( tc_prod( Y, Y ), c_Product__Type_OPair( Y, Y, T, U ), X ), !
% 0.87/1.44 hBOOL( hAPP( Z, T ) ), hBOOL( hAPP( Z, U ) ), alpha56( X, Y, Z, T ) }.
% 0.87/1.44 { ! c_member( tc_prod( T, T ), c_Product__Type_OPair( T, T, Z, Y ),
% 0.87/1.44 c_Transitive__Closure_Ortrancl( T, X ) ), ! hBOOL( hAPP( U, Y ) ), hBOOL
% 0.87/1.44 ( hAPP( U, skol85( W, V0, V1, U ) ) ), hBOOL( hAPP( U, Z ) ) }.
% 0.87/1.44 { ! c_member( tc_prod( T, T ), c_Product__Type_OPair( T, T, Z, Y ),
% 0.87/1.44 c_Transitive__Closure_Ortrancl( T, X ) ), ! hBOOL( hAPP( U, Y ) ),
% 0.87/1.44 alpha57( X, Y, T, skol32( X, Y, T, U ), skol85( X, Y, T, U ) ), hBOOL(
% 0.87/1.44 hAPP( U, Z ) ) }.
% 0.87/1.44 { ! c_member( tc_prod( T, T ), c_Product__Type_OPair( T, T, Z, Y ),
% 0.87/1.44 c_Transitive__Closure_Ortrancl( T, X ) ), ! hBOOL( hAPP( U, Y ) ), !
% 0.87/1.44 hBOOL( hAPP( U, skol32( X, Y, T, U ) ) ), hBOOL( hAPP( U, Z ) ) }.
% 0.87/1.44 { ! alpha57( X, Y, Z, T, U ), c_member( tc_prod( Z, Z ),
% 0.87/1.44 c_Product__Type_OPair( Z, Z, T, U ), X ) }.
% 0.87/1.44 { ! alpha57( X, Y, Z, T, U ), c_member( tc_prod( Z, Z ),
% 0.87/1.44 c_Product__Type_OPair( Z, Z, U, Y ), c_Transitive__Closure_Ortrancl( Z, X
% 0.87/1.44 ) ) }.
% 0.87/1.44 { ! c_member( tc_prod( Z, Z ), c_Product__Type_OPair( Z, Z, T, U ), X ), !
% 0.87/1.44 c_member( tc_prod( Z, Z ), c_Product__Type_OPair( Z, Z, U, Y ),
% 0.87/1.44 c_Transitive__Closure_Ortrancl( Z, X ) ), alpha57( X, Y, Z, T, U ) }.
% 0.87/1.44 { ! c_member( tc_prod( T, T ), c_Product__Type_OPair( T, T, Z, Y ),
% 0.87/1.44 c_Transitive__Closure_Ortrancl( T, X ) ), Z = Y, c_member( tc_prod( T, T
% 0.87/1.44 ), c_Product__Type_OPair( T, T, Z, skol33( X, U, Z, T ) ), X ) }.
% 0.87/1.44 { ! c_member( tc_prod( T, T ), c_Product__Type_OPair( T, T, Z, Y ),
% 0.87/1.44 c_Transitive__Closure_Ortrancl( T, X ) ), Z = Y, c_member( tc_prod( T, T
% 0.87/1.44 ), c_Product__Type_OPair( T, T, skol33( X, Y, Z, T ), Y ),
% 0.87/1.44 c_Transitive__Closure_Ortrancl( T, X ) ) }.
% 0.87/1.44 { ! c_Relation_Ototal__on( Z, Y, X ), ! c_member( Z, T, Y ), alpha9( X, Y,
% 0.87/1.44 Z, T ) }.
% 0.87/1.44 { c_member( Z, skol34( T, Y, Z ), Y ), c_Relation_Ototal__on( Z, Y, X ) }.
% 0.87/1.44 { ! alpha9( X, Y, Z, skol34( X, Y, Z ) ), c_Relation_Ototal__on( Z, Y, X )
% 0.87/1.44 }.
% 0.87/1.44 { ! alpha9( X, Y, Z, T ), ! c_member( Z, U, Y ), alpha26( X, Z, T, U ) }.
% 0.87/1.44 { c_member( Z, skol35( U, Y, Z, W ), Y ), alpha9( X, Y, Z, T ) }.
% 0.87/1.44 { ! alpha26( X, Z, T, skol35( X, Y, Z, T ) ), alpha9( X, Y, Z, T ) }.
% 0.87/1.44 { ! alpha26( X, Y, Z, T ), Z = T, alpha38( X, Y, Z, T ) }.
% 0.87/1.44 { ! Z = T, alpha26( X, Y, Z, T ) }.
% 0.87/1.44 { ! alpha38( X, Y, Z, T ), alpha26( X, Y, Z, T ) }.
% 0.87/1.44 { ! alpha38( X, Y, Z, T ), c_member( tc_prod( Y, Y ), c_Product__Type_OPair
% 0.87/1.44 ( Y, Y, Z, T ), X ), c_member( tc_prod( Y, Y ), c_Product__Type_OPair( Y
% 0.87/1.44 , Y, T, Z ), X ) }.
% 0.87/1.44 { ! c_member( tc_prod( Y, Y ), c_Product__Type_OPair( Y, Y, Z, T ), X ),
% 0.87/1.44 alpha38( X, Y, Z, T ) }.
% 0.87/1.44 { ! c_member( tc_prod( Y, Y ), c_Product__Type_OPair( Y, Y, T, Z ), X ),
% 0.87/1.44 alpha38( X, Y, Z, T ) }.
% 0.87/1.44 { ! c_member( tc_prod( W, W ), c_Product__Type_OPair( W, W, U, T ), hAPP(
% 0.87/1.44 c_Relation_Oinv__image( Z, W, Y ), X ) ), c_member( tc_prod( Z, Z ),
% 0.87/1.44 c_Product__Type_OPair( Z, Z, hAPP( X, U ), hAPP( X, T ) ), Y ) }.
% 0.87/1.44 { ! c_member( tc_prod( Z, Z ), c_Product__Type_OPair( Z, Z, hAPP( X, U ),
% 0.87/1.44 hAPP( X, T ) ), Y ), c_member( tc_prod( W, W ), c_Product__Type_OPair( W
% 0.87/1.44 , W, U, T ), hAPP( c_Relation_Oinv__image( Z, W, Y ), X ) ) }.
% 0.87/1.44 { ! c_Relation_Orefl__on( Z, Y, X ), ! c_member( Z, T, Y ), c_member(
% 0.87/1.44 tc_prod( Z, Z ), c_Product__Type_OPair( Z, Z, T, T ), X ) }.
% 0.87/1.44 { ! c_Relation_Orefl__on( Z, Y, c_Relation_Oconverse( Z, Z, X ) ),
% 0.87/1.44 c_Relation_Orefl__on( Z, Y, X ) }.
% 0.87/1.44 { ! c_Relation_Orefl__on( Z, Y, X ), c_Relation_Orefl__on( Z, Y,
% 0.87/1.44 c_Relation_Oconverse( Z, Z, X ) ) }.
% 0.87/1.44 { c_Relation_Orefl__on( Y, X, c_Relation_OId__on( Y, X ) ) }.
% 0.87/1.44 { c_Relation_Oconverse( T, T, hAPP( c_Relation_Oinv__image( Z, T, Y ), X )
% 0.87/1.44 ) = hAPP( c_Relation_Oinv__image( Z, T, c_Relation_Oconverse( Z, Z, Y )
% 0.87/1.44 ), X ) }.
% 0.87/1.44 { ! c_Relation_Ototal__on( Z, Y, c_Relation_Oconverse( Z, Z, X ) ),
% 0.87/1.44 c_Relation_Ototal__on( Z, Y, X ) }.
% 0.87/1.44 { ! c_Relation_Ototal__on( Z, Y, X ), c_Relation_Ototal__on( Z, Y,
% 0.87/1.44 c_Relation_Oconverse( Z, Z, X ) ) }.
% 0.87/1.44 { ! c_Relation_Orefl__on( Z, Y, X ), ! c_member( tc_prod( Z, Z ),
% 0.87/1.44 c_Product__Type_OPair( Z, Z, U, T ), X ), c_member( Z, T, Y ) }.
% 0.87/1.44 { ! c_Relation_Orefl__on( Z, Y, X ), ! c_member( tc_prod( Z, Z ),
% 0.87/1.44 c_Product__Type_OPair( Z, Z, T, U ), X ), c_member( Z, T, Y ) }.
% 0.87/1.44 { ! c_member( tc_prod( T, T ), c_Product__Type_OPair( T, T, Z, Y ),
% 0.87/1.44 c_Transitive__Closure_Otrancl( T, X ) ), c_member( tc_prod( T, T ),
% 0.87/1.44 c_Product__Type_OPair( T, T, Z, Y ), c_Transitive__Closure_Ortrancl( T, X
% 0.87/1.44 ) ) }.
% 0.87/1.44 { c_member( tc_prod( Y, Y ), c_Product__Type_OPair( Y, Y, X, X ),
% 0.87/1.44 c_Relation_OId( Y ) ) }.
% 0.87/1.44 { ! c_Relation_Oantisym( Y, X ), ! c_member( tc_prod( Y, Y ),
% 0.87/1.44 c_Product__Type_OPair( Y, Y, T, Z ), X ), ! c_member( tc_prod( Y, Y ),
% 0.87/1.44 c_Product__Type_OPair( Y, Y, Z, T ), X ), T = Z }.
% 0.87/1.44 { ! c_Relation_Oantisym( Y, X ), ! c_member( tc_prod( Y, Y ),
% 0.87/1.44 c_Product__Type_OPair( Y, Y, Z, T ), X ), alpha10( X, Y, Z, T ) }.
% 0.87/1.44 { c_member( tc_prod( Y, Y ), c_Product__Type_OPair( Y, Y, skol36( X, Y ),
% 0.87/1.44 skol86( X, Y ) ), X ), c_Relation_Oantisym( Y, X ) }.
% 0.87/1.44 { ! alpha10( X, Y, skol36( X, Y ), skol86( X, Y ) ), c_Relation_Oantisym( Y
% 0.87/1.44 , X ) }.
% 0.87/1.44 { ! alpha10( X, Y, Z, T ), ! c_member( tc_prod( Y, Y ),
% 0.87/1.44 c_Product__Type_OPair( Y, Y, T, Z ), X ), Z = T }.
% 0.87/1.44 { c_member( tc_prod( Y, Y ), c_Product__Type_OPair( Y, Y, T, Z ), X ),
% 0.87/1.44 alpha10( X, Y, Z, T ) }.
% 0.87/1.44 { ! Z = T, alpha10( X, Y, Z, T ) }.
% 0.87/1.44 { ! c_member( tc_prod( T, T ), c_Product__Type_OPair( T, T, Z, Y ),
% 0.87/1.44 c_Transitive__Closure_Otrancl( T, c_Relation_Oconverse( T, T, X ) ) ),
% 0.87/1.44 c_member( tc_prod( T, T ), c_Product__Type_OPair( T, T, Z, Y ),
% 0.87/1.44 c_Relation_Oconverse( T, T, c_Transitive__Closure_Otrancl( T, X ) ) ) }.
% 0.87/1.44 { ! c_member( tc_prod( T, T ), c_Product__Type_OPair( T, T, Z, Y ),
% 0.87/1.44 c_Relation_Oconverse( T, T, c_Transitive__Closure_Otrancl( T, X ) ) ),
% 0.87/1.44 c_member( tc_prod( T, T ), c_Product__Type_OPair( T, T, Z, Y ),
% 0.87/1.44 c_Transitive__Closure_Otrancl( T, c_Relation_Oconverse( T, T, X ) ) ) }.
% 0.87/1.44 { ! c_member( tc_prod( T, T ), c_Product__Type_OPair( T, T, Z, Y ),
% 0.87/1.44 c_Transitive__Closure_Ortrancl( T, X ) ), ! c_member( tc_prod( T, T ),
% 0.87/1.44 c_Product__Type_OPair( T, T, Y, U ), c_Transitive__Closure_Otrancl( T, X
% 0.87/1.44 ) ), c_member( tc_prod( T, T ), c_Product__Type_OPair( T, T, Z, U ),
% 0.87/1.44 c_Transitive__Closure_Otrancl( T, X ) ) }.
% 0.87/1.44 { ! c_member( tc_prod( T, T ), c_Product__Type_OPair( T, T, Z, Y ),
% 0.87/1.44 c_Transitive__Closure_Otrancl( T, X ) ), ! c_member( tc_prod( T, T ),
% 0.87/1.44 c_Product__Type_OPair( T, T, Y, U ), c_Transitive__Closure_Ortrancl( T, X
% 0.87/1.44 ) ), c_member( tc_prod( T, T ), c_Product__Type_OPair( T, T, Z, U ),
% 0.87/1.44 c_Transitive__Closure_Otrancl( T, X ) ) }.
% 0.87/1.44 { ! c_member( tc_prod( T, T ), c_Product__Type_OPair( T, T, Z, Y ), X ),
% 0.87/1.44 c_member( tc_prod( T, T ), c_Product__Type_OPair( T, T, Z, Y ),
% 0.87/1.44 c_Transitive__Closure_Otrancl( T, X ) ) }.
% 0.87/1.44 { c_Relation_Oantisym( X, c_Relation_OId( X ) ) }.
% 0.87/1.44 { ! c_member( tc_prod( Z, Z ), Y, X ), c_member( tc_prod( Z, Z ), Y,
% 0.87/1.44 c_Transitive__Closure_Otrancl( Z, X ) ) }.
% 0.87/1.44 { c_Transitive__Closure_Ortrancl( Y, c_Transitive__Closure_Otrancl( Y, X )
% 0.87/1.44 ) = c_Transitive__Closure_Ortrancl( Y, X ) }.
% 0.87/1.44 { c_Transitive__Closure_Otrancl( Y, c_Transitive__Closure_Ortrancl( Y, X )
% 0.87/1.44 ) = c_Transitive__Closure_Ortrancl( Y, X ) }.
% 0.87/1.44 { c_Transitive__Closure_Otrancl( Y, c_Relation_Oconverse( Y, Y, X ) ) =
% 0.87/1.44 c_Relation_Oconverse( Y, Y, c_Transitive__Closure_Otrancl( Y, X ) ) }.
% 0.87/1.44 { c_Relation_ODomain( Y, Y, c_Transitive__Closure_Otrancl( Y, X ) ) =
% 0.87/1.44 c_Relation_ODomain( Y, Y, X ) }.
% 0.87/1.44 { c_Relation_ORange( Y, Y, c_Transitive__Closure_Otrancl( Y, X ) ) =
% 0.87/1.44 c_Relation_ORange( Y, Y, X ) }.
% 0.87/1.44 { c_Relation_Oconverse( X, X, c_Relation_OId( X ) ) = c_Relation_OId( X ) }
% 0.87/1.44 .
% 0.87/1.44 { c_Relation_Osingle__valued( X, X, c_Relation_OId( X ) ) }.
% 0.87/1.44 { ! c_Relation_Oantisym( Y, c_Relation_Oconverse( Y, Y, X ) ),
% 0.87/1.44 c_Relation_Oantisym( Y, X ) }.
% 0.87/1.44 { ! c_Relation_Oantisym( Y, X ), c_Relation_Oantisym( Y,
% 0.87/1.44 c_Relation_Oconverse( Y, Y, X ) ) }.
% 0.87/1.44 { ! c_member( tc_prod( T, T ), c_Product__Type_OPair( T, T, Z, Y ), X ), !
% 0.87/1.44 c_member( tc_prod( T, T ), c_Product__Type_OPair( T, T, Y, U ), X ),
% 0.87/1.44 c_member( tc_prod( T, T ), c_Product__Type_OPair( T, T, Z, U ),
% 0.87/1.44 c_Transitive__Closure_Otrancl( T, X ) ) }.
% 0.87/1.44 { ! c_member( tc_prod( T, T ), c_Product__Type_OPair( T, T, Z, Y ), X ), !
% 0.87/1.44 c_member( tc_prod( T, T ), c_Product__Type_OPair( T, T, Y, U ),
% 0.87/1.44 c_Transitive__Closure_Otrancl( T, X ) ), c_member( tc_prod( T, T ),
% 0.87/1.44 c_Product__Type_OPair( T, T, Z, U ), c_Transitive__Closure_Otrancl( T, X
% 0.87/1.44 ) ) }.
% 0.87/1.44 { ! c_member( tc_prod( T, T ), c_Product__Type_OPair( T, T, Z, Y ),
% 0.87/1.44 c_Transitive__Closure_Otrancl( T, X ) ), ! c_member( tc_prod( T, T ),
% 0.87/1.44 c_Product__Type_OPair( T, T, Y, U ), X ), c_member( tc_prod( T, T ),
% 0.87/1.44 c_Product__Type_OPair( T, T, Z, U ), c_Transitive__Closure_Otrancl( T, X
% 0.87/1.44 ) ) }.
% 0.87/1.44 { ! c_member( tc_prod( T, T ), c_Product__Type_OPair( T, T, Z, Y ),
% 0.87/1.44 c_Transitive__Closure_Otrancl( T, X ) ), ! c_member( tc_prod( T, T ),
% 0.87/1.44 c_Product__Type_OPair( T, T, Y, U ), c_Transitive__Closure_Otrancl( T, X
% 0.87/1.44 ) ), c_member( tc_prod( T, T ), c_Product__Type_OPair( T, T, Z, U ),
% 0.87/1.44 c_Transitive__Closure_Otrancl( T, X ) ) }.
% 0.87/1.44 { c_Relation_Oantisym( Y, c_Relation_OId__on( Y, X ) ) }.
% 0.87/1.44 { ! c_member( tc_prod( Z, Z ), c_Product__Type_OPair( Z, Z, Y, X ),
% 0.87/1.44 c_Relation_OId( Z ) ), Y = X }.
% 0.87/1.44 { ! Y = X, c_member( tc_prod( Z, Z ), c_Product__Type_OPair( Z, Z, Y, X ),
% 0.87/1.44 c_Relation_OId( Z ) ) }.
% 0.87/1.44 { ! c_member( tc_prod( T, T ), c_Product__Type_OPair( T, T, Z, Y ),
% 0.87/1.44 c_Transitive__Closure_Ortrancl( T, X ) ), Z = Y, alpha11( X, Y, Z, T ) }
% 0.87/1.44 .
% 0.87/1.44 { ! Z = Y, c_member( tc_prod( T, T ), c_Product__Type_OPair( T, T, Z, Y ),
% 0.87/1.44 c_Transitive__Closure_Ortrancl( T, X ) ) }.
% 0.87/1.44 { ! alpha11( X, Y, Z, T ), c_member( tc_prod( T, T ), c_Product__Type_OPair
% 0.87/1.44 ( T, T, Z, Y ), c_Transitive__Closure_Ortrancl( T, X ) ) }.
% 0.87/1.44 { ! alpha11( X, Y, Z, T ), ! Z = Y }.
% 0.87/1.44 { ! alpha11( X, Y, Z, T ), c_member( tc_prod( T, T ), c_Product__Type_OPair
% 0.87/1.44 ( T, T, Z, Y ), c_Transitive__Closure_Otrancl( T, X ) ) }.
% 0.87/1.44 { Z = Y, ! c_member( tc_prod( T, T ), c_Product__Type_OPair( T, T, Z, Y ),
% 0.87/1.44 c_Transitive__Closure_Otrancl( T, X ) ), alpha11( X, Y, Z, T ) }.
% 0.87/1.44 { ! c_member( tc_prod( T, T ), c_Product__Type_OPair( T, T, Z, Y ), X ), !
% 0.87/1.44 c_member( tc_prod( T, T ), c_Product__Type_OPair( T, T, Y, U ),
% 0.87/1.44 c_Transitive__Closure_Ortrancl( T, X ) ), c_member( tc_prod( T, T ),
% 0.87/1.44 c_Product__Type_OPair( T, T, Z, U ), c_Transitive__Closure_Otrancl( T, X
% 0.87/1.44 ) ) }.
% 0.87/1.44 { ! c_member( tc_prod( T, T ), c_Product__Type_OPair( T, T, Z, Y ),
% 0.87/1.44 c_Transitive__Closure_Ortrancl( T, X ) ), Z = Y, ! Z = Y }.
% 0.87/1.44 { ! c_member( tc_prod( T, T ), c_Product__Type_OPair( T, T, Z, Y ),
% 0.87/1.44 c_Transitive__Closure_Ortrancl( T, X ) ), Z = Y, c_member( tc_prod( T, T
% 0.87/1.44 ), c_Product__Type_OPair( T, T, Z, Y ), c_Transitive__Closure_Otrancl( T
% 0.87/1.44 , X ) ) }.
% 0.87/1.44 { ! c_member( tc_prod( T, T ), c_Product__Type_OPair( T, T, Z, Y ),
% 0.87/1.44 c_Transitive__Closure_Ortrancl( T, X ) ), ! c_member( tc_prod( T, T ),
% 0.87/1.44 c_Product__Type_OPair( T, T, Y, U ), X ), c_member( tc_prod( T, T ),
% 0.87/1.44 c_Product__Type_OPair( T, T, Z, U ), c_Transitive__Closure_Otrancl( T, X
% 0.87/1.44 ) ) }.
% 0.87/1.44 { ! c_member( tc_prod( T, T ), c_Product__Type_OPair( T, T, Z, Y ),
% 0.87/1.44 c_Transitive__Closure_Otrancl( T, X ) ), c_member( tc_prod( T, T ),
% 0.87/1.44 c_Product__Type_OPair( T, T, Z, skol37( X, U, Z, T ) ),
% 0.87/1.44 c_Transitive__Closure_Ortrancl( T, X ) ) }.
% 0.87/1.44 { ! c_member( tc_prod( T, T ), c_Product__Type_OPair( T, T, Z, Y ),
% 0.87/1.44 c_Transitive__Closure_Otrancl( T, X ) ), c_member( tc_prod( T, T ),
% 0.87/1.44 c_Product__Type_OPair( T, T, skol37( X, Y, Z, T ), Y ), X ) }.
% 0.87/1.44 { ! c_member( tc_prod( T, T ), c_Product__Type_OPair( T, T, Z, Y ),
% 0.87/1.44 c_Transitive__Closure_Otrancl( T, X ) ), c_member( tc_prod( T, T ),
% 0.87/1.44 c_Product__Type_OPair( T, T, Z, skol38( X, U, Z, T ) ), X ) }.
% 0.87/1.44 { ! c_member( tc_prod( T, T ), c_Product__Type_OPair( T, T, Z, Y ),
% 0.87/1.44 c_Transitive__Closure_Otrancl( T, X ) ), c_member( tc_prod( T, T ),
% 0.87/1.44 c_Product__Type_OPair( T, T, skol38( X, Y, Z, T ), Y ),
% 0.87/1.44 c_Transitive__Closure_Ortrancl( T, X ) ) }.
% 0.87/1.44 { ! c_member( tc_prod( Y, Y ), X, c_Relation_OId( Y ) ), X =
% 0.87/1.44 c_Product__Type_OPair( Y, Y, skol39( X, Y ), skol39( X, Y ) ) }.
% 0.87/1.44 { ! c_Wellfounded_Oacyclic( Y, X ), ! c_member( tc_prod( Y, Y ),
% 0.87/1.44 c_Product__Type_OPair( Y, Y, Z, Z ), c_Transitive__Closure_Otrancl( Y, X
% 0.87/1.44 ) ) }.
% 0.87/1.44 { c_member( tc_prod( Y, Y ), c_Product__Type_OPair( Y, Y, skol40( X, Y ),
% 0.87/1.44 skol40( X, Y ) ), c_Transitive__Closure_Otrancl( Y, X ) ),
% 0.87/1.44 c_Wellfounded_Oacyclic( Y, X ) }.
% 0.87/1.44 { c_member( tc_prod( Y, Y ), c_Product__Type_OPair( Y, Y, skol41( X, Y ),
% 0.87/1.44 skol87( X, Y ) ), X ), c_Relation_Oantisym( Y, X ) }.
% 0.87/1.44 { c_member( tc_prod( Y, Y ), c_Product__Type_OPair( Y, Y, skol87( X, Y ),
% 0.87/1.44 skol41( X, Y ) ), X ), c_Relation_Oantisym( Y, X ) }.
% 0.87/1.44 { ! skol41( X, Y ) = skol87( X, Y ), c_Relation_Oantisym( Y, X ) }.
% 0.87/1.44 { c_member( tc_prod( Y, Y ), c_Product__Type_OPair( Y, Y, skol42( X, Y ),
% 0.87/1.44 skol42( X, Y ) ), c_Transitive__Closure_Otrancl( Y, X ) ), ! c_member(
% 0.87/1.44 tc_prod( Y, Y ), c_Product__Type_OPair( Y, Y, T, Z ), X ), ! T = Z }.
% 0.87/1.44 { ! c_member( tc_prod( T, T ), c_Product__Type_OPair( T, T, Z, Y ),
% 0.87/1.44 c_Transitive__Closure_Otrancl( T, X ) ), c_member( tc_prod( T, T ),
% 0.87/1.44 c_Product__Type_OPair( T, T, Z, Y ), X ), c_member( tc_prod( T, T ),
% 0.87/1.44 c_Product__Type_OPair( T, T, Z, skol43( X, U, Z, T ) ), X ) }.
% 0.87/1.44 { ! c_member( tc_prod( T, T ), c_Product__Type_OPair( T, T, Z, Y ),
% 0.87/1.44 c_Transitive__Closure_Otrancl( T, X ) ), c_member( tc_prod( T, T ),
% 0.87/1.44 c_Product__Type_OPair( T, T, Z, Y ), X ), c_member( tc_prod( T, T ),
% 0.87/1.44 c_Product__Type_OPair( T, T, skol43( X, Y, Z, T ), Y ),
% 0.87/1.44 c_Transitive__Closure_Otrancl( T, X ) ) }.
% 0.87/1.44 { ! c_Wellfounded_Oacyclic( Y, c_Relation_Oconverse( Y, Y, X ) ),
% 0.87/1.44 c_Wellfounded_Oacyclic( Y, X ) }.
% 0.87/1.44 { ! c_Wellfounded_Oacyclic( Y, X ), c_Wellfounded_Oacyclic( Y,
% 0.87/1.44 c_Relation_Oconverse( Y, Y, X ) ) }.
% 0.87/1.44 { ! c_Wellfounded_Oacyclic( Y, X ), c_Relation_Oantisym( Y,
% 0.87/1.44 c_Transitive__Closure_Ortrancl( Y, X ) ) }.
% 0.87/1.44 { c_member( tc_prod( Y, Y ), c_Product__Type_OPair( Y, Y, skol44( X, Y ),
% 0.87/1.44 skol44( X, Y ) ), c_Transitive__Closure_Otrancl( Y, X ) ),
% 0.87/1.44 c_Wellfounded_Oacyclic( Y, X ) }.
% 0.87/1.44 { ! c_Wellfounded_Oacyclic( T, c_Set_Oinsert( tc_prod( T, T ),
% 0.87/1.44 c_Product__Type_OPair( T, T, Z, Y ), X ) ), c_Wellfounded_Oacyclic( T, X
% 0.87/1.44 ) }.
% 0.87/1.44 { ! c_Wellfounded_Oacyclic( T, c_Set_Oinsert( tc_prod( T, T ),
% 0.87/1.44 c_Product__Type_OPair( T, T, Z, Y ), X ) ), ! c_member( tc_prod( T, T ),
% 0.87/1.44 c_Product__Type_OPair( T, T, Y, Z ), c_Transitive__Closure_Ortrancl( T, X
% 0.87/1.44 ) ) }.
% 0.87/1.44 { ! c_Wellfounded_Oacyclic( T, X ), c_member( tc_prod( T, T ),
% 0.87/1.44 c_Product__Type_OPair( T, T, Y, Z ), c_Transitive__Closure_Ortrancl( T, X
% 0.87/1.44 ) ), c_Wellfounded_Oacyclic( T, c_Set_Oinsert( tc_prod( T, T ),
% 0.87/1.44 c_Product__Type_OPair( T, T, Z, Y ), X ) ) }.
% 0.87/1.44 { ! c_member( tc_prod( T, T ), c_Product__Type_OPair( T, T, Z, Y ),
% 0.87/1.44 c_Transitive__Closure_Otrancl( T, X ) ), c_member( tc_prod( T, T ),
% 0.87/1.44 c_Product__Type_OPair( T, T, Z, Y ), X ), c_member( tc_prod( T, T ),
% 0.87/1.44 c_Product__Type_OPair( T, T, Z, skol45( X, U, Z, T ) ),
% 0.87/1.44 c_Transitive__Closure_Otrancl( T, X ) ) }.
% 0.87/1.44 { ! c_member( tc_prod( T, T ), c_Product__Type_OPair( T, T, Z, Y ),
% 0.87/1.44 c_Transitive__Closure_Otrancl( T, X ) ), c_member( tc_prod( T, T ),
% 0.87/1.44 c_Product__Type_OPair( T, T, Z, Y ), X ), c_member( tc_prod( T, T ),
% 0.87/1.44 c_Product__Type_OPair( T, T, skol45( X, Y, Z, T ), Y ), X ) }.
% 0.87/1.44 { c_Lattices_Osemilattice__sup__class_Osup( tc_fun( tc_prod( Y, Y ),
% 0.87/1.44 tc_HOL_Obool ), c_Transitive__Closure_Otrancl( Y, X ), c_Relation_OId( Y
% 0.87/1.44 ) ) = c_Transitive__Closure_Ortrancl( Y, X ) }.
% 0.87/1.44 { c_Transitive__Closure_Otrancl( Y,
% 0.87/1.44 c_Lattices_Osemilattice__sup__class_Osup( tc_fun( tc_prod( Y, Y ),
% 0.87/1.44 tc_HOL_Obool ), X, c_Relation_OId( Y ) ) ) =
% 0.87/1.44 c_Transitive__Closure_Ortrancl( Y, X ) }.
% 0.87/1.44 { c_Relation_Oirrefl( Y, c_Groups_Ominus__class_Ominus( tc_fun( tc_prod( Y
% 0.87/1.44 , Y ), tc_HOL_Obool ), X, c_Relation_OId( Y ) ) ) }.
% 0.87/1.44 { ! hBOOL( hAPP( c_Lattices_Osemilattice__sup__class_Osup( tc_fun( T,
% 0.87/1.44 tc_HOL_Obool ), Z, Y ), X ) ), hBOOL( hAPP( Z, X ) ), hBOOL( hAPP( Y, X )
% 0.87/1.44 ) }.
% 0.87/1.44 { ! hBOOL( hAPP( Z, Y ) ), hBOOL( hAPP(
% 0.87/1.44 c_Lattices_Osemilattice__sup__class_Osup( tc_fun( T, tc_HOL_Obool ), X, Z
% 0.87/1.44 ), Y ) ) }.
% 0.87/1.44 { ! hBOOL( hAPP( X, Y ) ), hBOOL( hAPP(
% 0.87/1.44 c_Lattices_Osemilattice__sup__class_Osup( tc_fun( T, tc_HOL_Obool ), X, Z
% 0.87/1.44 ), Y ) ) }.
% 0.87/1.44 { ! c_member( T, Z, c_Set_Oinsert( T, Y, X ) ), Z = Y, c_member( T, Z, X )
% 0.87/1.44 }.
% 0.87/1.44 { ! c_member( T, Z, Y ), c_member( T, Z, c_Set_Oinsert( T, X, Y ) ) }.
% 0.87/1.44 { ! Z = X, c_member( T, Z, c_Set_Oinsert( T, X, Y ) ) }.
% 0.87/1.44 { ! c_member( T, Z, c_Lattices_Osemilattice__sup__class_Osup( tc_fun( T,
% 0.87/1.44 tc_HOL_Obool ), Y, X ) ), c_member( T, Z, Y ), c_member( T, Z, X ) }.
% 0.87/1.44 { ! c_member( T, Z, Y ), c_member( T, Z,
% 0.87/1.44 c_Lattices_Osemilattice__sup__class_Osup( tc_fun( T, tc_HOL_Obool ), X, Y
% 0.87/1.44 ) ) }.
% 0.87/1.44 { ! c_member( T, Z, X ), c_member( T, Z,
% 0.87/1.44 c_Lattices_Osemilattice__sup__class_Osup( tc_fun( T, tc_HOL_Obool ), X, Y
% 0.87/1.44 ) ) }.
% 0.87/1.44 { ! c_member( Z, Y, X ), c_member( Z, Y, T ), c_member( Z, Y,
% 0.87/1.44 c_Groups_Ominus__class_Ominus( tc_fun( Z, tc_HOL_Obool ), X, T ) ) }.
% 0.87/1.44 { ! c_member( T, Z, c_Groups_Ominus__class_Ominus( tc_fun( T, tc_HOL_Obool
% 0.87/1.44 ), Y, X ) ), c_member( T, Z, Y ) }.
% 0.87/1.44 { ! c_member( T, Z, c_Groups_Ominus__class_Ominus( tc_fun( T, tc_HOL_Obool
% 0.87/1.44 ), Y, X ) ), ! c_member( T, Z, X ) }.
% 0.87/1.44 { ! c_Relation_Orefl__on( Z, Y, X ), ! c_Relation_Orefl__on( Z, U, T ),
% 0.87/1.44 c_Relation_Orefl__on( Z, c_Lattices_Osemilattice__sup__class_Osup( tc_fun
% 0.87/1.44 ( Z, tc_HOL_Obool ), Y, U ), c_Lattices_Osemilattice__sup__class_Osup(
% 0.87/1.44 tc_fun( tc_prod( Z, Z ), tc_HOL_Obool ), X, T ) ) }.
% 0.87/1.44 { ! hBOOL( hAPP( Y, X ) ), hBOOL( hAPP(
% 0.87/1.44 c_Lattices_Osemilattice__sup__class_Osup( tc_fun( T, tc_HOL_Obool ), Y, Z
% 0.87/1.44 ), X ) ) }.
% 0.87/1.44 { ! hBOOL( hAPP( Y, X ) ), hBOOL( hAPP(
% 0.87/1.44 c_Lattices_Osemilattice__sup__class_Osup( tc_fun( T, tc_HOL_Obool ), Z, Y
% 0.87/1.44 ), X ) ) }.
% 0.87/1.44 { c_Lattices_Osemilattice__sup__class_Osup( tc_fun( Y, tc_HOL_Obool ), X, X
% 0.87/1.44 ) = X }.
% 0.87/1.44 { c_Lattices_Osemilattice__sup__class_Osup( tc_fun( Z, tc_HOL_Obool ), Y, X
% 0.87/1.44 ) = c_Lattices_Osemilattice__sup__class_Osup( tc_fun( Z, tc_HOL_Obool )
% 0.87/1.44 , X, Y ) }.
% 0.87/1.44 { c_Set_Oinsert( Z, Y, c_Set_Oinsert( Z, Y, X ) ) = c_Set_Oinsert( Z, Y, X
% 0.87/1.44 ) }.
% 0.87/1.44 { c_Lattices_Osemilattice__sup__class_Osup( tc_fun( Z, tc_HOL_Obool ), Y,
% 0.87/1.44 c_Groups_Ominus__class_Ominus( tc_fun( Z, tc_HOL_Obool ), X, Y ) ) =
% 0.87/1.44 c_Lattices_Osemilattice__sup__class_Osup( tc_fun( Z, tc_HOL_Obool ), Y, X
% 0.87/1.44 ) }.
% 0.87/1.44 { c_Lattices_Osemilattice__sup__class_Osup( tc_fun( Z, tc_HOL_Obool ), Y,
% 0.87/1.44 c_Lattices_Osemilattice__sup__class_Osup( tc_fun( Z, tc_HOL_Obool ), Y, X
% 0.87/1.44 ) ) = c_Lattices_Osemilattice__sup__class_Osup( tc_fun( Z, tc_HOL_Obool
% 0.87/1.44 ), Y, X ) }.
% 0.87/1.44 { c_Set_Oinsert( T, Z, c_Set_Oinsert( T, Y, X ) ) = c_Set_Oinsert( T, Y,
% 0.87/1.44 c_Set_Oinsert( T, Z, X ) ) }.
% 0.87/1.44 { c_Lattices_Osemilattice__sup__class_Osup( tc_fun( T, tc_HOL_Obool ), Z,
% 0.87/1.44 c_Set_Oinsert( T, Y, X ) ) = c_Set_Oinsert( T, Y,
% 0.87/1.44 c_Lattices_Osemilattice__sup__class_Osup( tc_fun( T, tc_HOL_Obool ), Z, X
% 0.87/1.44 ) ) }.
% 0.87/1.44 { c_Lattices_Osemilattice__sup__class_Osup( tc_fun( T, tc_HOL_Obool ), Z,
% 0.87/1.44 c_Lattices_Osemilattice__sup__class_Osup( tc_fun( T, tc_HOL_Obool ), Y, X
% 0.87/1.44 ) ) = c_Lattices_Osemilattice__sup__class_Osup( tc_fun( T, tc_HOL_Obool
% 0.87/1.44 ), Y, c_Lattices_Osemilattice__sup__class_Osup( tc_fun( T, tc_HOL_Obool
% 0.87/1.44 ), Z, X ) ) }.
% 0.87/1.44 { c_Groups_Ominus__class_Ominus( tc_fun( Z, tc_HOL_Obool ),
% 0.87/1.44 c_Groups_Ominus__class_Ominus( tc_fun( Z, tc_HOL_Obool ), Y, X ), X ) =
% 0.87/1.44 c_Groups_Ominus__class_Ominus( tc_fun( Z, tc_HOL_Obool ), Y, X ) }.
% 0.87/1.44 { c_Lattices_Osemilattice__sup__class_Osup( tc_fun( Z, tc_HOL_Obool ),
% 0.87/1.44 c_Groups_Ominus__class_Ominus( tc_fun( Z, tc_HOL_Obool ), Y, X ), X ) =
% 0.87/1.44 c_Lattices_Osemilattice__sup__class_Osup( tc_fun( Z, tc_HOL_Obool ), Y, X
% 0.87/1.44 ) }.
% 0.87/1.44 { c_Lattices_Osemilattice__sup__class_Osup( tc_fun( T, tc_HOL_Obool ),
% 0.87/1.44 c_Set_Oinsert( T, Z, Y ), X ) = c_Set_Oinsert( T, Z,
% 0.87/1.44 c_Lattices_Osemilattice__sup__class_Osup( tc_fun( T, tc_HOL_Obool ), Y, X
% 0.87/1.44 ) ) }.
% 0.87/1.44 { c_Lattices_Osemilattice__sup__class_Osup( tc_fun( T, tc_HOL_Obool ),
% 0.87/1.44 c_Lattices_Osemilattice__sup__class_Osup( tc_fun( T, tc_HOL_Obool ), Z, Y
% 0.87/1.44 ), X ) = c_Lattices_Osemilattice__sup__class_Osup( tc_fun( T,
% 0.87/1.44 tc_HOL_Obool ), Z, c_Lattices_Osemilattice__sup__class_Osup( tc_fun( T,
% 0.87/1.44 tc_HOL_Obool ), Y, X ) ) }.
% 0.87/1.44 { c_Groups_Ominus__class_Ominus( tc_fun( T, tc_HOL_Obool ),
% 0.87/1.44 c_Lattices_Osemilattice__sup__class_Osup( tc_fun( T, tc_HOL_Obool ), Z, Y
% 0.87/1.44 ), X ) = c_Lattices_Osemilattice__sup__class_Osup( tc_fun( T,
% 0.87/1.44 tc_HOL_Obool ), c_Groups_Ominus__class_Ominus( tc_fun( T, tc_HOL_Obool )
% 0.87/1.44 , Z, X ), c_Groups_Ominus__class_Ominus( tc_fun( T, tc_HOL_Obool ), Y, X
% 0.87/1.44 ) ) }.
% 0.87/1.44 { ! alpha39( X, Y, Z, T ), alpha12( X, Z, T ), alpha27( X, Y, T ) }.
% 0.87/1.44 { ! alpha12( X, Z, T ), alpha39( X, Y, Z, T ) }.
% 0.87/1.44 { ! alpha27( X, Y, T ), alpha39( X, Y, Z, T ) }.
% 0.87/1.44 { ! alpha39( X, Y, Z, T ), hBOOL( hAPP( X, skol46( X, U, W, V0 ) ) ) }.
% 0.87/1.44 { ! alpha39( X, Y, Z, T ), c_member( T, skol46( X, Y, Z, T ),
% 0.87/1.44 c_Lattices_Osemilattice__sup__class_Osup( tc_fun( T, tc_HOL_Obool ), Z, Y
% 0.87/1.44 ) ) }.
% 0.87/1.44 { ! c_member( T, U, c_Lattices_Osemilattice__sup__class_Osup( tc_fun( T,
% 0.87/1.44 tc_HOL_Obool ), Z, Y ) ), ! hBOOL( hAPP( X, U ) ), alpha39( X, Y, Z, T )
% 0.87/1.44 }.
% 0.87/1.44 { ! alpha27( X, Y, Z ), hBOOL( hAPP( X, skol47( X, T, U ) ) ) }.
% 0.87/1.44 { ! alpha27( X, Y, Z ), c_member( Z, skol47( X, Y, Z ), Y ) }.
% 0.87/1.44 { ! c_member( Z, T, Y ), ! hBOOL( hAPP( X, T ) ), alpha27( X, Y, Z ) }.
% 0.87/1.44 { ! alpha12( X, Y, Z ), hBOOL( hAPP( X, skol48( X, T, U ) ) ) }.
% 0.87/1.44 { ! alpha12( X, Y, Z ), c_member( Z, skol48( X, Y, Z ), Y ) }.
% 0.87/1.44 { ! c_member( Z, T, Y ), ! hBOOL( hAPP( X, T ) ), alpha12( X, Y, Z ) }.
% 0.87/1.44 { ! alpha40( X, Y, Z, T ), alpha13( X, Z, T ) }.
% 0.87/1.44 { ! alpha40( X, Y, Z, T ), alpha28( X, Y, T ) }.
% 0.87/1.44 { ! alpha13( X, Z, T ), ! alpha28( X, Y, T ), alpha40( X, Y, Z, T ) }.
% 0.87/1.44 { ! alpha40( X, Y, Z, T ), ! c_member( T, U,
% 0.87/1.44 c_Lattices_Osemilattice__sup__class_Osup( tc_fun( T, tc_HOL_Obool ), Z, Y
% 0.87/1.44 ) ), hBOOL( hAPP( X, U ) ) }.
% 0.87/1.44 { ! hBOOL( hAPP( X, skol49( X, U, W, V0 ) ) ), alpha40( X, Y, Z, T ) }.
% 0.87/1.44 { c_member( T, skol49( X, Y, Z, T ),
% 0.87/1.44 c_Lattices_Osemilattice__sup__class_Osup( tc_fun( T, tc_HOL_Obool ), Z, Y
% 0.87/1.44 ) ), alpha40( X, Y, Z, T ) }.
% 0.87/1.44 { ! alpha28( X, Y, Z ), ! c_member( Z, T, Y ), hBOOL( hAPP( X, T ) ) }.
% 0.87/1.44 { ! hBOOL( hAPP( X, skol50( X, T, U ) ) ), alpha28( X, Y, Z ) }.
% 0.87/1.44 { c_member( Z, skol50( X, Y, Z ), Y ), alpha28( X, Y, Z ) }.
% 0.87/1.44 { ! alpha13( X, Y, Z ), ! c_member( Z, T, Y ), hBOOL( hAPP( X, T ) ) }.
% 0.87/1.44 { ! hBOOL( hAPP( X, skol51( X, T, U ) ) ), alpha13( X, Y, Z ) }.
% 0.87/1.44 { c_member( Z, skol51( X, Y, Z ), Y ), alpha13( X, Y, Z ) }.
% 0.87/1.44 { ! hBOOL( hAPP( c_Set_Oinsert( T, Z, Y ), X ) ), Z = X, hBOOL( hAPP( Y, X
% 0.87/1.44 ) ) }.
% 0.87/1.44 { ! Z = X, hBOOL( hAPP( c_Set_Oinsert( T, Z, Y ), X ) ) }.
% 0.87/1.44 { ! hBOOL( hAPP( Y, X ) ), hBOOL( hAPP( c_Set_Oinsert( T, Z, Y ), X ) ) }.
% 0.87/1.44 { ! c_member( T, Z, Y ), c_Groups_Ominus__class_Ominus( tc_fun( T,
% 0.87/1.44 tc_HOL_Obool ), c_Set_Oinsert( T, Z, X ), Y ) =
% 0.87/1.44 c_Groups_Ominus__class_Ominus( tc_fun( T, tc_HOL_Obool ), X, Y ) }.
% 0.87/1.44 { c_member( T, Z, Y ), c_Groups_Ominus__class_Ominus( tc_fun( T,
% 0.87/1.44 tc_HOL_Obool ), c_Set_Oinsert( T, Z, X ), Y ) = c_Set_Oinsert( T, Z,
% 0.87/1.44 c_Groups_Ominus__class_Ominus( tc_fun( T, tc_HOL_Obool ), X, Y ) ) }.
% 0.87/1.44 { ! c_member( Z, Y, X ), c_Groups_Ominus__class_Ominus( tc_fun( Z,
% 0.87/1.44 tc_HOL_Obool ), c_Set_Oinsert( Z, Y, T ), X ) =
% 0.87/1.44 c_Groups_Ominus__class_Ominus( tc_fun( Z, tc_HOL_Obool ), T, X ) }.
% 0.87/1.44 { c_Relation_ORange( T, Z, c_Lattices_Osemilattice__sup__class_Osup( tc_fun
% 0.87/1.44 ( tc_prod( T, Z ), tc_HOL_Obool ), Y, X ) ) =
% 0.87/1.44 c_Lattices_Osemilattice__sup__class_Osup( tc_fun( Z, tc_HOL_Obool ),
% 0.87/1.44 c_Relation_ORange( T, Z, Y ), c_Relation_ORange( T, Z, X ) ) }.
% 0.87/1.44 { c_Relation_ODomain( T, Z, c_Lattices_Osemilattice__sup__class_Osup(
% 0.87/1.44 tc_fun( tc_prod( T, Z ), tc_HOL_Obool ), Y, X ) ) =
% 0.87/1.44 c_Lattices_Osemilattice__sup__class_Osup( tc_fun( T, tc_HOL_Obool ),
% 0.87/1.44 c_Relation_ODomain( T, Z, Y ), c_Relation_ODomain( T, Z, X ) ) }.
% 0.87/1.44 { c_Relation_ODomain( U, T, c_Set_Oinsert( tc_prod( U, T ),
% 0.87/1.44 c_Product__Type_OPair( U, T, Z, Y ), X ) ) = c_Set_Oinsert( U, Z,
% 0.87/1.44 c_Relation_ODomain( U, T, X ) ) }.
% 0.87/1.44 { c_Relation_ORange( U, T, c_Set_Oinsert( tc_prod( U, T ),
% 0.87/1.44 c_Product__Type_OPair( U, T, Z, Y ), X ) ) = c_Set_Oinsert( T, Y,
% 0.87/1.44 c_Relation_ORange( U, T, X ) ) }.
% 0.87/1.44 { ! c_member( T, Z, c_Groups_Ominus__class_Ominus( tc_fun( T, tc_HOL_Obool
% 0.87/1.44 ), Y, X ) ), c_member( T, Z, Y ) }.
% 0.87/1.44 { ! c_member( T, Z, c_Groups_Ominus__class_Ominus( tc_fun( T, tc_HOL_Obool
% 0.87/1.44 ), Y, X ) ), ! c_member( T, Z, X ) }.
% 0.87/1.44 { ! c_member( T, Z, Y ), c_member( T, Z, X ), c_member( T, Z,
% 0.87/1.44 c_Groups_Ominus__class_Ominus( tc_fun( T, tc_HOL_Obool ), Y, X ) ) }.
% 0.87/1.44 { ! c_member( Z, Y, c_Groups_Ominus__class_Ominus( tc_fun( Z, tc_HOL_Obool
% 0.87/1.44 ), X, T ) ), c_member( Z, Y, X ) }.
% 0.87/1.44 { ! c_member( Z, Y, c_Groups_Ominus__class_Ominus( tc_fun( Z, tc_HOL_Obool
% 0.87/1.44 ), T, X ) ), ! c_member( Z, Y, X ) }.
% 0.87/1.44 { ! c_member( T, Z, c_Lattices_Osemilattice__sup__class_Osup( tc_fun( T,
% 0.87/1.44 tc_HOL_Obool ), Y, X ) ), c_member( T, Z, Y ), c_member( T, Z, X ) }.
% 0.87/1.44 { ! c_member( T, Z, Y ), c_member( T, Z,
% 0.87/1.44 c_Lattices_Osemilattice__sup__class_Osup( tc_fun( T, tc_HOL_Obool ), Y, X
% 0.87/1.44 ) ) }.
% 0.87/1.44 { ! c_member( T, Z, X ), c_member( T, Z,
% 0.87/1.44 c_Lattices_Osemilattice__sup__class_Osup( tc_fun( T, tc_HOL_Obool ), Y, X
% 0.87/1.44 ) ) }.
% 0.87/1.44 { ! c_member( Z, Y, X ), c_member( Z, Y,
% 0.87/1.44 c_Lattices_Osemilattice__sup__class_Osup( tc_fun( Z, tc_HOL_Obool ), X, T
% 0.87/1.44 ) ) }.
% 0.87/1.44 { ! c_member( Z, Y, X ), c_member( Z, Y,
% 0.87/1.44 c_Lattices_Osemilattice__sup__class_Osup( tc_fun( Z, tc_HOL_Obool ), T, X
% 0.87/1.44 ) ) }.
% 0.87/1.44 { c_member( Z, Y, c_Set_Oinsert( Z, Y, X ) ) }.
% 0.87/1.44 { ! c_member( T, Z, c_Set_Oinsert( T, Y, X ) ), Z = Y, c_member( T, Z, X )
% 0.87/1.44 }.
% 0.87/1.44 { ! Z = Y, c_member( T, Z, c_Set_Oinsert( T, Y, X ) ) }.
% 0.87/1.44 { ! c_member( T, Z, X ), c_member( T, Z, c_Set_Oinsert( T, Y, X ) ) }.
% 0.87/1.44 { c_member( Z, Y, X ), c_member( Z, Y, T ), ! c_Set_Oinsert( Z, Y, X ) =
% 0.87/1.44 c_Set_Oinsert( Z, Y, T ), X = T }.
% 0.87/1.44 { c_member( Z, Y, X ), c_member( Z, Y, T ), ! X = T, c_Set_Oinsert( Z, Y, X
% 0.87/1.44 ) = c_Set_Oinsert( Z, Y, T ) }.
% 0.87/1.44 { ! c_member( Z, Y, X ), c_member( Z, Y, c_Set_Oinsert( Z, T, X ) ) }.
% 0.87/1.44 { ! c_member( Z, Y, X ), c_Set_Oinsert( Z, Y, X ) = X }.
% 0.87/1.44 { c_Transitive__Closure_Ortrancl( Z,
% 0.87/1.44 c_Lattices_Osemilattice__sup__class_Osup( tc_fun( tc_prod( Z, Z ),
% 0.87/1.44 tc_HOL_Obool ), c_Transitive__Closure_Ortrancl( Z, Y ),
% 0.87/1.44 c_Transitive__Closure_Ortrancl( Z, X ) ) ) =
% 0.87/1.44 c_Transitive__Closure_Ortrancl( Z,
% 0.87/1.44 c_Lattices_Osemilattice__sup__class_Osup( tc_fun( tc_prod( Z, Z ),
% 0.87/1.44 tc_HOL_Obool ), Y, X ) ) }.
% 0.87/1.44 { c_Relation_Oconverse( T, Z, c_Lattices_Osemilattice__sup__class_Osup(
% 0.87/1.44 tc_fun( tc_prod( T, Z ), tc_HOL_Obool ), Y, X ) ) =
% 0.87/1.44 c_Lattices_Osemilattice__sup__class_Osup( tc_fun( tc_prod( Z, T ),
% 0.87/1.44 tc_HOL_Obool ), c_Relation_Oconverse( T, Z, Y ), c_Relation_Oconverse( T
% 0.87/1.44 , Z, X ) ) }.
% 0.87/1.44 { ! c_member( tc_prod( T, T ), Z, c_Transitive__Closure_Ortrancl( T, Y ) )
% 0.87/1.44 , c_member( tc_prod( T, T ), Z, c_Transitive__Closure_Ortrancl( T,
% 0.87/1.44 c_Lattices_Osemilattice__sup__class_Osup( tc_fun( tc_prod( T, T ),
% 0.87/1.44 tc_HOL_Obool ), Y, X ) ) ) }.
% 0.87/1.44 { ! c_member( tc_prod( T, T ), Z, c_Transitive__Closure_Ortrancl( T, X ) )
% 0.87/1.44 , c_member( tc_prod( T, T ), Z, c_Transitive__Closure_Ortrancl( T,
% 0.87/1.44 c_Lattices_Osemilattice__sup__class_Osup( tc_fun( tc_prod( T, T ),
% 0.87/1.44 tc_HOL_Obool ), Y, X ) ) ) }.
% 0.87/1.44 { c_Transitive__Closure_Ortrancl( Y, c_Groups_Ominus__class_Ominus( tc_fun
% 0.87/1.44 ( tc_prod( Y, Y ), tc_HOL_Obool ), X, c_Relation_OId( Y ) ) ) =
% 0.87/1.44 c_Transitive__Closure_Ortrancl( Y, X ) }.
% 0.87/1.44 { c_Transitive__Closure_Ortrancl( Y,
% 0.87/1.44 c_Lattices_Osemilattice__sup__class_Osup( tc_fun( tc_prod( Y, Y ),
% 0.87/1.44 tc_HOL_Obool ), X, c_Relation_OId( Y ) ) ) =
% 0.87/1.44 c_Transitive__Closure_Ortrancl( Y, X ) }.
% 0.87/1.44 { c_Lattices_Osemilattice__sup__class_Osup( tc_fun( tc_prod( Y, Y ),
% 0.87/1.44 tc_HOL_Obool ), c_Transitive__Closure_Ortrancl( Y, X ), c_Relation_OId( Y
% 0.87/1.44 ) ) = c_Transitive__Closure_Ortrancl( Y, X ) }.
% 0.87/1.44 { ! c_Relation_Oantisym( Y, c_Lattices_Osemilattice__sup__class_Osup(
% 0.87/1.44 tc_fun( tc_prod( Y, Y ), tc_HOL_Obool ), X, c_Relation_OId( Y ) ) ),
% 0.87/1.44 c_Relation_Oantisym( Y, X ) }.
% 0.87/1.44 { ! c_Relation_Oantisym( Y, X ), c_Relation_Oantisym( Y,
% 0.87/1.44 c_Lattices_Osemilattice__sup__class_Osup( tc_fun( tc_prod( Y, Y ),
% 0.87/1.44 tc_HOL_Obool ), X, c_Relation_OId( Y ) ) ) }.
% 0.87/1.44 { ! c_Relation_Ototal__on( Z, Y, c_Groups_Ominus__class_Ominus( tc_fun(
% 0.87/1.44 tc_prod( Z, Z ), tc_HOL_Obool ), X, c_Relation_OId( Z ) ) ),
% 0.87/1.44 c_Relation_Ototal__on( Z, Y, X ) }.
% 0.87/1.44 { ! c_Relation_Ototal__on( Z, Y, X ), c_Relation_Ototal__on( Z, Y,
% 0.87/1.44 c_Groups_Ominus__class_Ominus( tc_fun( tc_prod( Z, Z ), tc_HOL_Obool ), X
% 0.87/1.44 , c_Relation_OId( Z ) ) ) }.
% 0.87/1.44 { ! class_Groups_Ominus( X ), hAPP( c_Groups_Ominus__class_Ominus( tc_fun(
% 0.87/1.44 U, X ), T, Z ), Y ) = c_Groups_Ominus__class_Ominus( X, hAPP( T, Y ),
% 0.87/1.44 hAPP( Z, Y ) ) }.
% 0.87/1.44 { ! class_Lattices_Olattice( X ), hAPP(
% 0.87/1.44 c_Lattices_Osemilattice__sup__class_Osup( tc_fun( U, X ), T, Z ), Y ) =
% 0.87/1.44 c_Lattices_Osemilattice__sup__class_Osup( X, hAPP( T, Y ), hAPP( Z, Y ) )
% 0.87/1.44 }.
% 0.87/1.44 { ! c_member( tc_prod( U, U ), c_Product__Type_OPair( U, U, T, Z ),
% 0.87/1.44 c_Transitive__Closure_Ortrancl( U,
% 0.87/1.44 c_Lattices_Osemilattice__sup__class_Osup( tc_fun( tc_prod( U, U ),
% 0.87/1.44 tc_HOL_Obool ), Y, X ) ) ), c_member( tc_prod( U, U ),
% 0.87/1.44 c_Product__Type_OPair( U, U, skol88( X, U, W, V0 ), skol52( X, W, V0, U )
% 0.87/1.44 ), X ), c_member( tc_prod( U, U ), c_Product__Type_OPair( U, U, T, Z ),
% 0.87/1.44 c_Transitive__Closure_Ortrancl( U, Y ) ) }.
% 0.87/1.44 { ! c_member( tc_prod( U, U ), c_Product__Type_OPair( U, U, T, Z ),
% 0.87/1.44 c_Transitive__Closure_Ortrancl( U,
% 0.87/1.44 c_Lattices_Osemilattice__sup__class_Osup( tc_fun( tc_prod( U, U ),
% 0.87/1.44 tc_HOL_Obool ), Y, X ) ) ), ! skol88( X, U, W, V0 ) = skol52( X, W, V0, U
% 0.87/1.44 ), c_member( tc_prod( U, U ), c_Product__Type_OPair( U, U, T, Z ),
% 0.87/1.44 c_Transitive__Closure_Ortrancl( U, Y ) ) }.
% 0.87/1.44 { ! c_member( tc_prod( U, U ), c_Product__Type_OPair( U, U, T, Z ),
% 0.87/1.44 c_Transitive__Closure_Ortrancl( U,
% 0.87/1.44 c_Lattices_Osemilattice__sup__class_Osup( tc_fun( tc_prod( U, U ),
% 0.87/1.44 tc_HOL_Obool ), Y, X ) ) ), c_member( tc_prod( U, U ),
% 0.87/1.44 c_Product__Type_OPair( U, U, skol52( X, Y, Z, U ), Z ),
% 0.87/1.44 c_Transitive__Closure_Ortrancl( U, Y ) ), c_member( tc_prod( U, U ),
% 0.87/1.44 c_Product__Type_OPair( U, U, T, Z ), c_Transitive__Closure_Ortrancl( U, Y
% 0.87/1.44 ) ) }.
% 0.87/1.44 { ! c_member( tc_prod( U, U ), c_Product__Type_OPair( U, U, T, Z ),
% 0.87/1.44 c_Transitive__Closure_Ortrancl( U,
% 0.87/1.44 c_Lattices_Osemilattice__sup__class_Osup( tc_fun( tc_prod( U, U ),
% 0.87/1.44 tc_HOL_Obool ), Y, X ) ) ), c_member( tc_prod( U, U ),
% 0.87/1.44 c_Product__Type_OPair( U, U, skol53( X, W, V0, U ), skol89( X, U, W, V0 )
% 0.87/1.44 ), X ), c_member( tc_prod( U, U ), c_Product__Type_OPair( U, U, T, Z ),
% 0.87/1.44 c_Transitive__Closure_Ortrancl( U, Y ) ) }.
% 0.87/1.44 { ! c_member( tc_prod( U, U ), c_Product__Type_OPair( U, U, T, Z ),
% 0.87/1.44 c_Transitive__Closure_Ortrancl( U,
% 0.87/1.44 c_Lattices_Osemilattice__sup__class_Osup( tc_fun( tc_prod( U, U ),
% 0.87/1.44 tc_HOL_Obool ), Y, X ) ) ), ! skol53( X, W, V0, U ) = skol89( X, U, W, V0
% 0.87/1.44 ), c_member( tc_prod( U, U ), c_Product__Type_OPair( U, U, T, Z ),
% 0.87/1.44 c_Transitive__Closure_Ortrancl( U, Y ) ) }.
% 0.87/1.44 { ! c_member( tc_prod( U, U ), c_Product__Type_OPair( U, U, T, Z ),
% 0.87/1.44 c_Transitive__Closure_Ortrancl( U,
% 0.87/1.44 c_Lattices_Osemilattice__sup__class_Osup( tc_fun( tc_prod( U, U ),
% 0.87/1.44 tc_HOL_Obool ), Y, X ) ) ), c_member( tc_prod( U, U ),
% 0.87/1.44 c_Product__Type_OPair( U, U, T, skol53( X, Y, T, U ) ),
% 0.87/1.44 c_Transitive__Closure_Ortrancl( U, Y ) ), c_member( tc_prod( U, U ),
% 0.87/1.44 c_Product__Type_OPair( U, U, T, Z ), c_Transitive__Closure_Ortrancl( U, Y
% 0.87/1.44 ) ) }.
% 0.87/1.44 { ! c_Relation_Otrans( Y, X ), ! c_Relation_Oantisym( Y, X ),
% 0.87/1.44 c_Relation_Otrans( Y, c_Groups_Ominus__class_Ominus( tc_fun( tc_prod( Y,
% 0.87/1.44 Y ), tc_HOL_Obool ), X, c_Relation_OId( Y ) ) ) }.
% 0.87/1.44 { ! c_Wellfounded_Owf( T, c_Set_Oinsert( tc_prod( T, T ),
% 0.87/1.44 c_Product__Type_OPair( T, T, Z, Y ), X ) ), c_Wellfounded_Owf( T, X ) }.
% 0.87/1.44 { ! c_Wellfounded_Owf( T, c_Set_Oinsert( tc_prod( T, T ),
% 0.87/1.44 c_Product__Type_OPair( T, T, Z, Y ), X ) ), ! c_member( tc_prod( T, T ),
% 0.87/1.44 c_Product__Type_OPair( T, T, Y, Z ), c_Transitive__Closure_Ortrancl( T, X
% 0.87/1.44 ) ) }.
% 0.87/1.44 { ! c_Wellfounded_Owf( T, X ), c_member( tc_prod( T, T ),
% 0.87/1.44 c_Product__Type_OPair( T, T, Y, Z ), c_Transitive__Closure_Ortrancl( T, X
% 0.87/1.44 ) ), c_Wellfounded_Owf( T, c_Set_Oinsert( tc_prod( T, T ),
% 0.87/1.44 c_Product__Type_OPair( T, T, Z, Y ), X ) ) }.
% 0.87/1.44 { ! c_Wellfounded_Owf( Y, X ), c_Wellfounded_Owf( T, hAPP(
% 0.87/1.44 c_Relation_Oinv__image( Y, T, X ), Z ) ) }.
% 0.87/1.44 { ! c_Wellfounded_Owf( Y, X ), ! c_Wellfounded_Owf( T, Z ),
% 0.87/1.44 c_Wellfounded_Owf( tc_prod( Y, T ), c_Wellfounded_Olex__prod( Y, T, X, Z
% 0.87/1.44 ) ) }.
% 0.87/1.44 { ! c_Relation_Otrans( Y, X ), ! c_Relation_Otrans( T, Z ),
% 0.87/1.44 c_Relation_Otrans( tc_prod( Y, T ), c_Wellfounded_Olex__prod( Y, T, X, Z
% 0.87/1.44 ) ) }.
% 0.87/1.44 { ! c_Wellfounded_Owf( Y, X ), c_Wellfounded_Owf( Y,
% 0.87/1.44 c_Transitive__Closure_Otrancl( Y, X ) ) }.
% 0.87/1.44 { ! c_Wellfounded_Owf( Y, X ), c_Wellfounded_Oacyclic( Y, X ) }.
% 0.87/1.44 { c_Relation_Otrans( Y, c_Transitive__Closure_Ortrancl( Y, X ) ) }.
% 0.87/1.44 { ! c_Relation_Otrans( Y, X ), c_Transitive__Closure_Otrancl( Y, X ) = X }
% 0.87/1.44 .
% 0.87/1.44 { c_Relation_Otrans( Y, c_Transitive__Closure_Otrancl( Y, X ) ) }.
% 0.87/1.44 { ! c_Relation_Otrans( Y, c_Relation_Oconverse( Y, Y, X ) ),
% 0.87/1.44 c_Relation_Otrans( Y, X ) }.
% 0.87/1.44 { ! c_Relation_Otrans( Y, X ), c_Relation_Otrans( Y, c_Relation_Oconverse(
% 0.87/1.44 Y, Y, X ) ) }.
% 0.87/1.44 { c_Relation_Otrans( X, c_Relation_OId( X ) ) }.
% 0.87/1.44 { c_Relation_Otrans( Y, c_Relation_OId__on( Y, X ) ) }.
% 0.87/1.44 { ! c_Relation_Otrans( Y, X ), c_Relation_Otrans( T, hAPP(
% 0.87/1.44 c_Relation_Oinv__image( Y, T, X ), Z ) ) }.
% 0.87/1.44 { ! c_Wellfounded_Owf( Y, X ), ! c_member( tc_prod( Y, Y ),
% 0.87/1.44 c_Product__Type_OPair( Y, Y, Z, Z ), X ) }.
% 0.87/1.44 { ! c_Wellfounded_Owf( Y, X ), ! c_member( tc_prod( Y, Y ),
% 0.87/1.44 c_Product__Type_OPair( Y, Y, T, Z ), X ), ! c_member( tc_prod( Y, Y ),
% 0.87/1.44 c_Product__Type_OPair( Y, Y, Z, T ), X ) }.
% 0.87/1.44 { ! c_Wellfounded_Owf( Y, X ), ! c_member( tc_prod( Y, Y ),
% 0.87/1.44 c_Product__Type_OPair( Y, Y, T, Z ), X ), ! c_member( tc_prod( Y, Y ),
% 0.87/1.44 c_Product__Type_OPair( Y, Y, Z, T ), X ) }.
% 0.87/1.44 { ! c_Wellfounded_Owf( Y, X ), ! c_member( tc_prod( Y, Y ),
% 0.87/1.44 c_Product__Type_OPair( Y, Y, Z, Z ), X ) }.
% 0.87/1.44 { ! c_Wellfounded_Owf( Y, X ), c_member( Y, Z, c_Wellfounded_Oacc( Y, X ) )
% 0.87/1.44 }.
% 0.87/1.44 { ! c_Wellfounded_Owf( Y, X ), c_member( Y, Z, c_Wellfounded_Oacc( Y, X ) )
% 0.87/1.44 }.
% 0.87/1.44 { ! c_member( Y, skol54( X, Y ), c_Wellfounded_Oacc( Y, X ) ),
% 0.87/1.44 c_Wellfounded_Owf( Y, X ) }.
% 0.87/1.44 { ! c_Wellfounded_Owf( Y, c_Relation_Oconverse( Y, Y, X ) ),
% 0.87/1.44 c_Wellfounded_Owf( Y, c_Relation_Oconverse( Y, Y,
% 0.87/1.44 c_Transitive__Closure_Otrancl( Y, X ) ) ) }.
% 0.87/1.44 { ! c_Relation_Otrans( Y, X ), ! c_member( tc_prod( Y, Y ),
% 0.87/1.44 c_Product__Type_OPair( Y, Y, T, Z ), X ), ! c_member( tc_prod( Y, Y ),
% 0.87/1.44 c_Product__Type_OPair( Y, Y, Z, U ), X ), c_member( tc_prod( Y, Y ),
% 0.87/1.44 c_Product__Type_OPair( Y, Y, T, U ), X ) }.
% 0.87/1.44 { ! c_Relation_Otrans( Y, X ), ! c_member( tc_prod( Y, Y ),
% 0.87/1.44 c_Product__Type_OPair( Y, Y, Z, T ), X ), alpha14( X, Y, Z, T ) }.
% 0.87/1.44 { c_member( tc_prod( Y, Y ), c_Product__Type_OPair( Y, Y, skol55( X, Y ),
% 0.87/1.44 skol90( X, Y ) ), X ), c_Relation_Otrans( Y, X ) }.
% 0.87/1.44 { ! alpha14( X, Y, skol55( X, Y ), skol90( X, Y ) ), c_Relation_Otrans( Y,
% 0.87/1.44 X ) }.
% 0.87/1.44 { ! alpha14( X, Y, Z, T ), ! c_member( tc_prod( Y, Y ),
% 0.87/1.44 c_Product__Type_OPair( Y, Y, T, U ), X ), c_member( tc_prod( Y, Y ),
% 0.87/1.44 c_Product__Type_OPair( Y, Y, Z, U ), X ) }.
% 0.87/1.44 { c_member( tc_prod( Y, Y ), c_Product__Type_OPair( Y, Y, T, skol56( X, Y,
% 0.87/1.44 U, T ) ), X ), alpha14( X, Y, Z, T ) }.
% 0.87/1.44 { ! c_member( tc_prod( Y, Y ), c_Product__Type_OPair( Y, Y, Z, skol56( X, Y
% 0.87/1.44 , Z, T ) ), X ), alpha14( X, Y, Z, T ) }.
% 0.87/1.44 { ! c_Relation_Otrans( Y, X ), c_Relation_Otrans( Y,
% 0.87/1.44 c_Lattices_Osemilattice__sup__class_Osup( tc_fun( tc_prod( Y, Y ),
% 0.87/1.44 tc_HOL_Obool ), X, c_Relation_OId( Y ) ) ) }.
% 0.87/1.44 { ! class_Lattices_Osemilattice__sup( X ),
% 0.87/1.44 c_Lattices_Osemilattice__sup__class_Osup( X, Y, Y ) = Y }.
% 0.87/1.44 { ! class_Lattices_Osemilattice__sup( X ),
% 0.87/1.44 c_Lattices_Osemilattice__sup__class_Osup( X, Y, Y ) = Y }.
% 0.87/1.44 { ! class_Lattices_Osemilattice__sup( X ),
% 0.87/1.44 c_Lattices_Osemilattice__sup__class_Osup( X, Z, Y ) =
% 0.87/1.44 c_Lattices_Osemilattice__sup__class_Osup( X, Y, Z ) }.
% 0.87/1.44 { ! class_Lattices_Olattice( X ), c_Lattices_Osemilattice__sup__class_Osup
% 0.87/1.44 ( X, Z, Y ) = c_Lattices_Osemilattice__sup__class_Osup( X, Y, Z ) }.
% 0.87/1.44 { ! class_Lattices_Osemilattice__sup( X ),
% 0.87/1.44 c_Lattices_Osemilattice__sup__class_Osup( X, Z, Y ) =
% 0.87/1.44 c_Lattices_Osemilattice__sup__class_Osup( X, Y, Z ) }.
% 0.87/1.44 { ! class_Lattices_Osemilattice__sup( X ),
% 0.87/1.44 c_Lattices_Osemilattice__sup__class_Osup( X, Z,
% 0.87/1.44 c_Lattices_Osemilattice__sup__class_Osup( X, Z, Y ) ) =
% 0.87/1.44 c_Lattices_Osemilattice__sup__class_Osup( X, Z, Y ) }.
% 0.87/1.44 { ! class_Lattices_Olattice( X ), c_Lattices_Osemilattice__sup__class_Osup
% 0.87/1.44 ( X, Z, c_Lattices_Osemilattice__sup__class_Osup( X, Z, Y ) ) =
% 0.87/1.44 c_Lattices_Osemilattice__sup__class_Osup( X, Z, Y ) }.
% 0.87/1.44 { ! class_Lattices_Osemilattice__sup( X ),
% 0.87/1.44 c_Lattices_Osemilattice__sup__class_Osup( X, Z,
% 0.87/1.44 c_Lattices_Osemilattice__sup__class_Osup( X, Z, Y ) ) =
% 0.87/1.44 c_Lattices_Osemilattice__sup__class_Osup( X, Z, Y ) }.
% 0.87/1.44 { ! class_Lattices_Osemilattice__sup( X ),
% 0.87/1.44 c_Lattices_Osemilattice__sup__class_Osup( X, T,
% 0.87/1.44 c_Lattices_Osemilattice__sup__class_Osup( X, Z, Y ) ) =
% 0.87/1.44 c_Lattices_Osemilattice__sup__class_Osup( X, Z,
% 0.87/1.44 c_Lattices_Osemilattice__sup__class_Osup( X, T, Y ) ) }.
% 0.87/1.44 { ! class_Lattices_Olattice( X ), c_Lattices_Osemilattice__sup__class_Osup
% 0.87/1.44 ( X, T, c_Lattices_Osemilattice__sup__class_Osup( X, Z, Y ) ) =
% 0.87/1.44 c_Lattices_Osemilattice__sup__class_Osup( X, Z,
% 0.87/1.44 c_Lattices_Osemilattice__sup__class_Osup( X, T, Y ) ) }.
% 0.87/1.44 { ! class_Lattices_Osemilattice__sup( X ),
% 0.87/1.44 c_Lattices_Osemilattice__sup__class_Osup( X, T,
% 0.87/1.44 c_Lattices_Osemilattice__sup__class_Osup( X, Z, Y ) ) =
% 0.87/1.44 c_Lattices_Osemilattice__sup__class_Osup( X, Z,
% 0.87/1.44 c_Lattices_Osemilattice__sup__class_Osup( X, T, Y ) ) }.
% 0.87/1.44 { ! class_Lattices_Osemilattice__sup( X ),
% 0.87/1.44 c_Lattices_Osemilattice__sup__class_Osup( X,
% 0.87/1.44 c_Lattices_Osemilattice__sup__class_Osup( X, T, Z ), Y ) =
% 0.87/1.44 c_Lattices_Osemilattice__sup__class_Osup( X, T,
% 0.87/1.44 c_Lattices_Osemilattice__sup__class_Osup( X, Z, Y ) ) }.
% 0.87/1.44 { ! class_Lattices_Olattice( X ), c_Lattices_Osemilattice__sup__class_Osup
% 0.87/1.44 ( X, c_Lattices_Osemilattice__sup__class_Osup( X, T, Z ), Y ) =
% 0.87/1.44 c_Lattices_Osemilattice__sup__class_Osup( X, T,
% 0.87/1.44 c_Lattices_Osemilattice__sup__class_Osup( X, Z, Y ) ) }.
% 0.87/1.44 { ! class_Lattices_Osemilattice__sup( X ),
% 0.87/1.44 c_Lattices_Osemilattice__sup__class_Osup( X,
% 0.87/1.44 c_Lattices_Osemilattice__sup__class_Osup( X, T, Z ), Y ) =
% 0.87/1.44 c_Lattices_Osemilattice__sup__class_Osup( X, T,
% 0.87/1.44 c_Lattices_Osemilattice__sup__class_Osup( X, Z, Y ) ) }.
% 0.87/1.44 { ! c_Order__Relation_Ostrict__linear__order__on( Z, Y, X ),
% 0.87/1.44 c_Relation_Otrans( Z, X ) }.
% 0.87/1.44 { ! c_Order__Relation_Ostrict__linear__order__on( Z, Y, X ), alpha15( X, Y
% 0.87/1.44 , Z ) }.
% 0.87/1.44 { ! c_Relation_Otrans( Z, X ), ! alpha15( X, Y, Z ),
% 0.87/1.44 c_Order__Relation_Ostrict__linear__order__on( Z, Y, X ) }.
% 0.87/1.44 { ! alpha15( X, Y, Z ), c_Relation_Oirrefl( Z, X ) }.
% 0.87/1.44 { ! alpha15( X, Y, Z ), c_Relation_Ototal__on( Z, Y, X ) }.
% 0.87/1.44 { ! c_Relation_Oirrefl( Z, X ), ! c_Relation_Ototal__on( Z, Y, X ), alpha15
% 0.87/1.44 ( X, Y, Z ) }.
% 0.87/1.44 { c_Wellfounded_Owf( Y, hAPP( c_Wellfounded_Omeasure( Y ), X ) ) }.
% 0.87/1.44 { ! c_Wellfounded_Owf( X, Y ), hAPP( c_Recdef_Owfrec( X, Z, Y, T ), U ) =
% 0.87/1.44 hAPP( hAPP( T, c_Recdef_Ocut( X, Z, c_Recdef_Owfrec( X, Z, Y, T ), Y, U )
% 0.87/1.44 ), U ) }.
% 0.87/1.44 { ! c_Wellfounded_Owf( Y, X ), hAPP( c_Recdef_Owfrec( Y, U, X, T ), Z ) =
% 0.87/1.44 hAPP( hAPP( T, c_Recdef_Ocut( Y, U, c_Recdef_Owfrec( Y, U, X, T ), X, Z )
% 0.87/1.44 ), Z ) }.
% 0.87/1.44 { ! U = c_Recdef_Owfrec( T, Z, Y, X ), ! c_Wellfounded_Owf( T, Y ), hAPP( U
% 0.87/1.44 , W ) = hAPP( hAPP( X, c_Recdef_Ocut( T, Z, U, Y, W ) ), W ) }.
% 0.87/1.44 { ! c_Order__Relation_Olinear__order__on( Z, Y, X ),
% 0.87/1.44 c_Order__Relation_Ostrict__linear__order__on( Z, Y,
% 0.87/1.44 c_Groups_Ominus__class_Ominus( tc_fun( tc_prod( Z, Z ), tc_HOL_Obool ), X
% 0.87/1.44 , c_Relation_OId( Z ) ) ) }.
% 0.87/1.44 { hBOOL( hAPP( Z, skol57( T, U, Z ) ) ), c_Wellfounded_Owf( tc_prod( W, Y )
% 0.87/1.44 , c_Recdef_Osame__fst( W, Y, Z, X ) ) }.
% 0.87/1.44 { ! c_Wellfounded_Owf( Y, hAPP( X, skol57( X, Y, Z ) ) ), c_Wellfounded_Owf
% 0.87/1.44 ( tc_prod( T, Y ), c_Recdef_Osame__fst( T, Y, Z, X ) ) }.
% 0.87/1.44 { ! c_Order__Relation_Opreorder__on( Z, Y, X ), c_Relation_Orefl__on( Z, Y
% 0.87/1.44 , X ) }.
% 0.87/1.44 { ! c_Order__Relation_Opreorder__on( Z, Y, X ), c_Relation_Otrans( Z, X ) }
% 0.87/1.44 .
% 0.87/1.44 { ! c_Relation_Orefl__on( Z, Y, X ), ! c_Relation_Otrans( Z, X ),
% 0.87/1.44 c_Order__Relation_Opreorder__on( Z, Y, X ) }.
% 0.87/1.44 { ! c_Wellfounded_Owf( Y, X ), ! c_member( Y, T, Z ), alpha16( X, Y, Z ) }
% 0.87/1.44 .
% 0.87/1.44 { c_member( Y, skol91( Y, Z ), skol58( Z, Y ) ), c_Wellfounded_Owf( Y, X )
% 0.87/1.44 }.
% 0.87/1.44 { ! alpha16( X, Y, skol58( X, Y ) ), c_Wellfounded_Owf( Y, X ) }.
% 0.87/1.44 { ! alpha16( X, Y, Z ), c_member( Y, skol59( T, Y, Z ), Z ) }.
% 0.87/1.44 { ! alpha16( X, Y, Z ), alpha29( X, Y, Z, skol59( X, Y, Z ) ) }.
% 0.87/1.44 { ! c_member( Y, T, Z ), ! alpha29( X, Y, Z, T ), alpha16( X, Y, Z ) }.
% 0.87/1.44 { ! alpha29( X, Y, Z, T ), ! c_member( tc_prod( Y, Y ),
% 0.87/1.44 c_Product__Type_OPair( Y, Y, U, T ), X ), ! c_member( Y, U, Z ) }.
% 0.87/1.44 { c_member( Y, skol60( U, Y, Z, W ), Z ), alpha29( X, Y, Z, T ) }.
% 0.87/1.44 { c_member( tc_prod( Y, Y ), c_Product__Type_OPair( Y, Y, skol60( X, Y, Z,
% 0.87/1.44 T ), T ), X ), alpha29( X, Y, Z, T ) }.
% 0.87/1.44 { ! c_Order__Relation_Opreorder__on( Z, Y, c_Relation_Oconverse( Z, Z, X )
% 0.87/1.44 ), c_Order__Relation_Opreorder__on( Z, Y, X ) }.
% 0.87/1.44 { ! c_Order__Relation_Opreorder__on( Z, Y, X ),
% 0.87/1.44 c_Order__Relation_Opreorder__on( Z, Y, c_Relation_Oconverse( Z, Z, X ) )
% 0.87/1.44 }.
% 0.87/1.44 { ! c_Order__Relation_Olinear__order__on( Z, Y, c_Relation_Oconverse( Z, Z
% 0.87/1.44 , X ) ), c_Order__Relation_Olinear__order__on( Z, Y, X ) }.
% 0.87/1.44 { ! c_Order__Relation_Olinear__order__on( Z, Y, X ),
% 0.87/1.44 c_Order__Relation_Olinear__order__on( Z, Y, c_Relation_Oconverse( Z, Z, X
% 0.87/1.44 ) ) }.
% 0.87/1.44 { ! c_Order__Relation_Owell__order__on( Z, Y, X ),
% 0.87/1.44 c_Order__Relation_Olinear__order__on( Z, Y, X ) }.
% 0.87/1.44 { ! c_Order__Relation_Owell__order__on( Z, Y, X ), c_Wellfounded_Owf( Z,
% 0.87/1.44 c_Groups_Ominus__class_Ominus( tc_fun( tc_prod( Z, Z ), tc_HOL_Obool ), X
% 0.87/1.44 , c_Relation_OId( Z ) ) ) }.
% 0.87/1.44 { ! c_Order__Relation_Olinear__order__on( Z, Y, X ), ! c_Wellfounded_Owf( Z
% 0.87/1.44 , c_Groups_Ominus__class_Ominus( tc_fun( tc_prod( Z, Z ), tc_HOL_Obool )
% 0.87/1.44 , X, c_Relation_OId( Z ) ) ), c_Order__Relation_Owell__order__on( Z, Y, X
% 0.87/1.44 ) }.
% 0.87/1.44 { ! c_Order__Relation_Olinear__order__on( Z, Y, X ),
% 0.87/1.44 c_Order__Relation_Opartial__order__on( Z, Y, X ) }.
% 0.87/1.44 { ! c_Order__Relation_Olinear__order__on( Z, Y, X ), c_Relation_Ototal__on
% 0.87/1.44 ( Z, Y, X ) }.
% 0.87/1.44 { ! c_Order__Relation_Opartial__order__on( Z, Y, X ), !
% 0.87/1.44 c_Relation_Ototal__on( Z, Y, X ), c_Order__Relation_Olinear__order__on( Z
% 0.87/1.44 , Y, X ) }.
% 0.87/1.44 { ! c_Order__Relation_Opartial__order__on( Z, Y, X ),
% 0.87/1.44 c_Order__Relation_Opreorder__on( Z, Y, X ) }.
% 0.87/1.44 { ! c_Order__Relation_Opartial__order__on( Z, Y, X ), c_Relation_Oantisym(
% 0.87/1.44 Z, X ) }.
% 0.87/1.44 { ! c_Order__Relation_Opreorder__on( Z, Y, X ), ! c_Relation_Oantisym( Z, X
% 0.87/1.44 ), c_Order__Relation_Opartial__order__on( Z, Y, X ) }.
% 0.87/1.44 { ! c_Wellfounded_Owf( Y, X ), c_Wellfounded_OwfP( Y, c_FunDef_Oin__rel( Y
% 0.87/1.44 , Y, X ) ) }.
% 0.87/1.44 { ! c_Order__Relation_Opartial__order__on( Z, Y, c_Relation_Oconverse( Z, Z
% 0.87/1.44 , X ) ), c_Order__Relation_Opartial__order__on( Z, Y, X ) }.
% 0.87/1.44 { ! c_Order__Relation_Opartial__order__on( Z, Y, X ),
% 0.87/1.44 c_Order__Relation_Opartial__order__on( Z, Y, c_Relation_Oconverse( Z, Z,
% 0.87/1.44 X ) ) }.
% 0.87/1.44 { ! c_member( Y, skol61( X, Y ), c_Wellfounded_Oacc( Y, X ) ),
% 0.87/1.44 c_Wellfounded_Owf( Y, X ) }.
% 0.87/1.44 { c_Relation_OField( Y, X ) = c_Lattices_Osemilattice__sup__class_Osup(
% 0.87/1.44 tc_fun( Y, tc_HOL_Obool ), c_Relation_ODomain( Y, Y, X ),
% 0.87/1.44 c_Relation_ORange( Y, Y, X ) ) }.
% 0.87/1.44 { ! c_member( tc_prod( T, T ), c_Product__Type_OPair( T, T, Z, Y ), hAPP(
% 0.87/1.44 c_Wellfounded_Omeasure( T ), X ) ), c_Orderings_Oord__class_Oless(
% 0.87/1.44 tc_Nat_Onat, hAPP( X, Z ), hAPP( X, Y ) ) }.
% 0.87/1.44 { ! c_Orderings_Oord__class_Oless( tc_Nat_Onat, hAPP( X, Z ), hAPP( X, Y )
% 0.87/1.44 ), c_member( tc_prod( T, T ), c_Product__Type_OPair( T, T, Z, Y ), hAPP
% 0.87/1.44 ( c_Wellfounded_Omeasure( T ), X ) ) }.
% 0.87/1.44 { c_member( tc_prod( Y, Y ), c_Product__Type_OPair( Y, Y, skol62( X, Y ),
% 0.87/1.44 skol92( X, Y ) ), X ), c_Relation_Otrans( Y, X ) }.
% 0.87/1.44 { c_member( tc_prod( Y, Y ), c_Product__Type_OPair( Y, Y, skol92( X, Y ),
% 0.87/1.44 skol99( X, Y ) ), X ), c_Relation_Otrans( Y, X ) }.
% 0.87/1.44 { ! c_member( tc_prod( Y, Y ), c_Product__Type_OPair( Y, Y, skol62( X, Y )
% 0.87/1.44 , skol99( X, Y ) ), X ), c_Relation_Otrans( Y, X ) }.
% 0.87/1.44 { c_Relation_OField( Y, c_Relation_Oconverse( Y, Y, X ) ) =
% 0.87/1.44 c_Relation_OField( Y, X ) }.
% 0.87/1.44 { ! class_Lattices_Osemilattice__sup( X ), ! c_Orderings_Oord__class_Oless
% 0.87/1.44 ( X, Z, Y ), c_Orderings_Oord__class_Oless( X, Z,
% 0.87/1.44 c_Lattices_Osemilattice__sup__class_Osup( X, Y, T ) ) }.
% 0.87/1.44 { ! class_Lattices_Osemilattice__sup( X ), ! c_Orderings_Oord__class_Oless
% 0.87/1.44 ( X, Z, Y ), c_Orderings_Oord__class_Oless( X, Z,
% 0.87/1.44 c_Lattices_Osemilattice__sup__class_Osup( X, T, Y ) ) }.
% 0.87/1.44 { c_Relation_OField( Z, c_Lattices_Osemilattice__sup__class_Osup( tc_fun(
% 0.87/1.44 tc_prod( Z, Z ), tc_HOL_Obool ), Y, X ) ) =
% 0.87/1.44 c_Lattices_Osemilattice__sup__class_Osup( tc_fun( Z, tc_HOL_Obool ),
% 0.87/1.44 c_Relation_OField( Z, Y ), c_Relation_OField( Z, X ) ) }.
% 0.87/1.44 { ! c_Orderings_Oord__class_Oless( tc_Nat_Onat, hAPP( Z, Y ), hAPP( Z, X )
% 0.87/1.44 ), c_member( tc_prod( U, U ), c_Product__Type_OPair( U, U, Y, X ),
% 0.87/1.44 c_Wellfounded_Omlex__prod( U, Z, T ) ) }.
% 0.87/1.44 { ! class_Groups_Oordered__ab__group__add( X ), !
% 0.87/1.44 c_Groups_Ominus__class_Ominus( X, U, T ) = c_Groups_Ominus__class_Ominus
% 0.87/1.44 ( X, Z, Y ), ! c_Orderings_Oord__class_Oless( X, U, T ),
% 0.87/1.44 c_Orderings_Oord__class_Oless( X, Z, Y ) }.
% 0.87/1.44 { ! class_Groups_Oordered__ab__group__add( X ), !
% 0.87/1.44 c_Groups_Ominus__class_Ominus( X, U, T ) = c_Groups_Ominus__class_Ominus
% 0.87/1.44 ( X, Z, Y ), ! c_Orderings_Oord__class_Oless( X, Z, Y ),
% 0.87/1.44 c_Orderings_Oord__class_Oless( X, U, T ) }.
% 0.87/1.44 { c_Relation_OField( T, c_Set_Oinsert( tc_prod( T, T ),
% 0.87/1.44 c_Product__Type_OPair( T, T, Z, Y ), X ) ) =
% 0.87/1.44 c_Lattices_Osemilattice__sup__class_Osup( tc_fun( T, tc_HOL_Obool ),
% 0.87/1.44 c_Set_Oinsert( T, Z, c_Set_Oinsert( T, Y, c_Orderings_Obot__class_Obot(
% 0.87/1.44 tc_fun( T, tc_HOL_Obool ) ) ) ), c_Relation_OField( T, X ) ) }.
% 0.87/1.44 { c_Wellfounded_Omeasure( X ) = c_Relation_Oinv__image( tc_Nat_Onat, X,
% 0.87/1.44 c_Wellfounded_Oless__than ) }.
% 0.87/1.44 { c_Wellfounded_Owf( X, c_Orderings_Obot__class_Obot( tc_fun( tc_prod( X, X
% 0.87/1.44 ), tc_HOL_Obool ) ) ) }.
% 0.87/1.44 { c_Relation_Otrans( tc_Nat_Onat, c_Wellfounded_Oless__than ) }.
% 0.87/1.44 { c_Wellfounded_Owf( tc_Nat_Onat, c_Wellfounded_Oless__than ) }.
% 0.87/1.44 { ! c_member( Y, X, c_Orderings_Obot__class_Obot( tc_fun( Y, tc_HOL_Obool )
% 0.87/1.44 ) ) }.
% 0.87/1.44 { c_Relation_OField( X, c_Orderings_Obot__class_Obot( tc_fun( tc_prod( X, X
% 0.87/1.44 ), tc_HOL_Obool ) ) ) = c_Orderings_Obot__class_Obot( tc_fun( X,
% 0.87/1.44 tc_HOL_Obool ) ) }.
% 0.87/1.44 { ! c_Orderings_Oord__class_Oless( tc_fun( Y, tc_HOL_Obool ), X,
% 0.87/1.44 c_Orderings_Obot__class_Obot( tc_fun( Y, tc_HOL_Obool ) ) ) }.
% 0.87/1.44 { ! c_Orderings_Oord__class_Oless( tc_fun( Z, tc_HOL_Obool ), Y, X ), !
% 0.87/1.44 c_member( Z, T, Y ), c_member( Z, T, X ) }.
% 0.87/1.44 { c_Order__Relation_Olinear__order__on( X, c_Orderings_Obot__class_Obot(
% 0.87/1.44 tc_fun( X, tc_HOL_Obool ) ), c_Orderings_Obot__class_Obot( tc_fun(
% 0.87/1.44 tc_prod( X, X ), tc_HOL_Obool ) ) ) }.
% 0.87/1.44 { c_Order__Relation_Opreorder__on( X, c_Orderings_Obot__class_Obot( tc_fun
% 0.87/1.44 ( X, tc_HOL_Obool ) ), c_Orderings_Obot__class_Obot( tc_fun( tc_prod( X,
% 0.87/1.44 X ), tc_HOL_Obool ) ) ) }.
% 0.87/1.44 { ! Y = c_Orderings_Obot__class_Obot( tc_fun( X, tc_HOL_Obool ) ), !
% 0.87/1.44 c_member( X, Z, Y ) }.
% 0.87/1.44 { ! c_member( Y, X, c_Orderings_Obot__class_Obot( tc_fun( Y, tc_HOL_Obool )
% 0.87/1.44 ) ) }.
% 0.87/1.44 { ! c_member( Y, Z, X ), ! X = c_Orderings_Obot__class_Obot( tc_fun( Y,
% 0.87/1.44 tc_HOL_Obool ) ) }.
% 0.87/1.44 { X = c_Orderings_Obot__class_Obot( tc_fun( Y, tc_HOL_Obool ) ), c_member(
% 0.87/1.44 Y, skol63( X, Y ), X ) }.
% 0.87/1.44 { c_member( Y, skol64( X, Y ), X ), X = c_Orderings_Obot__class_Obot(
% 0.87/1.44 tc_fun( Y, tc_HOL_Obool ) ) }.
% 0.87/1.44 { ! X = c_Orderings_Obot__class_Obot( tc_fun( Y, tc_HOL_Obool ) ), !
% 0.87/1.44 c_member( Y, Z, X ) }.
% 0.87/1.44 { ! c_Set_Oinsert( Z, Y, c_Orderings_Obot__class_Obot( tc_fun( Z,
% 0.87/1.44 tc_HOL_Obool ) ) ) = c_Set_Oinsert( Z, X, c_Orderings_Obot__class_Obot(
% 0.87/1.44 tc_fun( Z, tc_HOL_Obool ) ) ), Y = X }.
% 0.87/1.44 { ! c_Set_Oinsert( U, T, c_Set_Oinsert( U, Z, c_Orderings_Obot__class_Obot
% 0.87/1.44 ( tc_fun( U, tc_HOL_Obool ) ) ) ) = c_Set_Oinsert( U, Y, c_Set_Oinsert( U
% 0.87/1.44 , X, c_Orderings_Obot__class_Obot( tc_fun( U, tc_HOL_Obool ) ) ) ),
% 0.87/1.44 alpha17( X, Y, Z, T ), alpha30( X, Y, Z, T ) }.
% 0.87/1.44 { ! alpha17( X, Y, Z, T ), c_Set_Oinsert( U, T, c_Set_Oinsert( U, Z,
% 0.87/1.44 c_Orderings_Obot__class_Obot( tc_fun( U, tc_HOL_Obool ) ) ) ) =
% 0.87/1.44 c_Set_Oinsert( U, Y, c_Set_Oinsert( U, X, c_Orderings_Obot__class_Obot(
% 0.87/1.44 tc_fun( U, tc_HOL_Obool ) ) ) ) }.
% 0.87/1.44 { ! alpha30( X, Y, Z, T ), c_Set_Oinsert( U, T, c_Set_Oinsert( U, Z,
% 0.87/1.44 c_Orderings_Obot__class_Obot( tc_fun( U, tc_HOL_Obool ) ) ) ) =
% 0.87/1.44 c_Set_Oinsert( U, Y, c_Set_Oinsert( U, X, c_Orderings_Obot__class_Obot(
% 0.87/1.44 tc_fun( U, tc_HOL_Obool ) ) ) ) }.
% 0.87/1.44 { ! alpha30( X, Y, Z, T ), T = X }.
% 0.87/1.44 { ! alpha30( X, Y, Z, T ), Z = Y }.
% 0.87/1.44 { ! T = X, ! Z = Y, alpha30( X, Y, Z, T ) }.
% 0.87/1.44 { ! alpha17( X, Y, Z, T ), T = Y }.
% 0.87/1.44 { ! alpha17( X, Y, Z, T ), Z = X }.
% 0.87/1.44 { ! T = Y, ! Z = X, alpha17( X, Y, Z, T ) }.
% 0.87/1.44 { ! c_Set_Oinsert( Z, Y, X ) = c_Orderings_Obot__class_Obot( tc_fun( Z,
% 0.87/1.44 tc_HOL_Obool ) ) }.
% 0.87/1.44 { ! c_Orderings_Obot__class_Obot( tc_fun( Z, tc_HOL_Obool ) ) =
% 0.87/1.44 c_Set_Oinsert( Z, Y, X ) }.
% 0.87/1.44 { c_Relation_Orefl__on( X, c_Orderings_Obot__class_Obot( tc_fun( X,
% 0.87/1.44 tc_HOL_Obool ) ), c_Orderings_Obot__class_Obot( tc_fun( tc_prod( X, X ),
% 0.87/1.44 tc_HOL_Obool ) ) ) }.
% 0.87/1.44 { c_Relation_ORange( Y, X, c_Orderings_Obot__class_Obot( tc_fun( tc_prod( Y
% 0.87/1.44 , X ), tc_HOL_Obool ) ) ) = c_Orderings_Obot__class_Obot( tc_fun( X,
% 0.87/1.44 tc_HOL_Obool ) ) }.
% 0.87/1.44 { ! c_Relation_ORange( Z, Y, X ) = c_Orderings_Obot__class_Obot( tc_fun( Y
% 0.87/1.44 , tc_HOL_Obool ) ), X = c_Orderings_Obot__class_Obot( tc_fun( tc_prod( Z
% 0.87/1.44 , Y ), tc_HOL_Obool ) ) }.
% 0.87/1.44 { ! X = c_Orderings_Obot__class_Obot( tc_fun( tc_prod( Z, Y ), tc_HOL_Obool
% 0.87/1.44 ) ), c_Relation_ORange( Z, Y, X ) = c_Orderings_Obot__class_Obot( tc_fun
% 0.87/1.44 ( Y, tc_HOL_Obool ) ) }.
% 0.87/1.44 { c_Product__Type_OSigma( Z, Y, c_Orderings_Obot__class_Obot( tc_fun( Z,
% 0.87/1.44 tc_HOL_Obool ) ), X ) = c_Orderings_Obot__class_Obot( tc_fun( tc_prod( Z
% 0.87/1.44 , Y ), tc_HOL_Obool ) ) }.
% 0.87/1.44 { c_Relation_OId__on( X, c_Orderings_Obot__class_Obot( tc_fun( X,
% 0.87/1.44 tc_HOL_Obool ) ) ) = c_Orderings_Obot__class_Obot( tc_fun( tc_prod( X, X
% 0.87/1.44 ), tc_HOL_Obool ) ) }.
% 0.87/1.44 { ! c_Relation_ODomain( Z, Y, X ) = c_Orderings_Obot__class_Obot( tc_fun( Z
% 0.87/1.44 , tc_HOL_Obool ) ), X = c_Orderings_Obot__class_Obot( tc_fun( tc_prod( Z
% 0.87/1.44 , Y ), tc_HOL_Obool ) ) }.
% 0.87/1.44 { ! X = c_Orderings_Obot__class_Obot( tc_fun( tc_prod( Z, Y ), tc_HOL_Obool
% 0.87/1.44 ) ), c_Relation_ODomain( Z, Y, X ) = c_Orderings_Obot__class_Obot(
% 0.87/1.44 tc_fun( Z, tc_HOL_Obool ) ) }.
% 0.87/1.44 { c_Relation_ODomain( Y, X, c_Orderings_Obot__class_Obot( tc_fun( tc_prod(
% 0.87/1.44 Y, X ), tc_HOL_Obool ) ) ) = c_Orderings_Obot__class_Obot( tc_fun( Y,
% 0.87/1.44 tc_HOL_Obool ) ) }.
% 0.87/1.44 { c_Transitive__Closure_Otrancl( X, c_Orderings_Obot__class_Obot( tc_fun(
% 0.87/1.44 tc_prod( X, X ), tc_HOL_Obool ) ) ) = c_Orderings_Obot__class_Obot(
% 0.87/1.44 tc_fun( tc_prod( X, X ), tc_HOL_Obool ) ) }.
% 0.87/1.44 { c_Groups_Ominus__class_Ominus( tc_fun( Y, tc_HOL_Obool ), X, X ) =
% 0.87/1.44 c_Orderings_Obot__class_Obot( tc_fun( Y, tc_HOL_Obool ) ) }.
% 0.87/1.44 { c_Groups_Ominus__class_Ominus( tc_fun( Y, tc_HOL_Obool ), X,
% 0.87/1.44 c_Orderings_Obot__class_Obot( tc_fun( Y, tc_HOL_Obool ) ) ) = X }.
% 0.87/1.44 { c_Groups_Ominus__class_Ominus( tc_fun( Y, tc_HOL_Obool ),
% 0.87/1.44 c_Orderings_Obot__class_Obot( tc_fun( Y, tc_HOL_Obool ) ), X ) =
% 0.87/1.44 c_Orderings_Obot__class_Obot( tc_fun( Y, tc_HOL_Obool ) ) }.
% 0.87/1.44 { ! c_Lattices_Osemilattice__sup__class_Osup( tc_fun( Z, tc_HOL_Obool ), Y
% 0.87/1.44 , X ) = c_Orderings_Obot__class_Obot( tc_fun( Z, tc_HOL_Obool ) ), Y =
% 0.87/1.44 c_Orderings_Obot__class_Obot( tc_fun( Z, tc_HOL_Obool ) ) }.
% 0.87/1.44 { ! c_Lattices_Osemilattice__sup__class_Osup( tc_fun( Z, tc_HOL_Obool ), Y
% 0.87/1.44 , X ) = c_Orderings_Obot__class_Obot( tc_fun( Z, tc_HOL_Obool ) ), X =
% 0.87/1.44 c_Orderings_Obot__class_Obot( tc_fun( Z, tc_HOL_Obool ) ) }.
% 0.87/1.44 { ! Y = c_Orderings_Obot__class_Obot( tc_fun( Z, tc_HOL_Obool ) ), ! X =
% 0.87/1.44 c_Orderings_Obot__class_Obot( tc_fun( Z, tc_HOL_Obool ) ),
% 0.87/1.44 c_Lattices_Osemilattice__sup__class_Osup( tc_fun( Z, tc_HOL_Obool ), Y, X
% 0.87/1.44 ) = c_Orderings_Obot__class_Obot( tc_fun( Z, tc_HOL_Obool ) ) }.
% 0.87/1.44 { c_Lattices_Osemilattice__sup__class_Osup( tc_fun( Y, tc_HOL_Obool ), X,
% 0.87/1.44 c_Orderings_Obot__class_Obot( tc_fun( Y, tc_HOL_Obool ) ) ) = X }.
% 0.87/1.44 { c_Lattices_Osemilattice__sup__class_Osup( tc_fun( Y, tc_HOL_Obool ),
% 0.87/1.44 c_Orderings_Obot__class_Obot( tc_fun( Y, tc_HOL_Obool ) ), X ) = X }.
% 0.87/1.44 { c_Relation_Oantisym( X, c_Orderings_Obot__class_Obot( tc_fun( tc_prod( X
% 0.87/1.44 , X ), tc_HOL_Obool ) ) ) }.
% 0.87/1.44 { c_Order__Relation_Opartial__order__on( X, c_Orderings_Obot__class_Obot(
% 0.87/1.44 tc_fun( X, tc_HOL_Obool ) ), c_Orderings_Obot__class_Obot( tc_fun(
% 0.87/1.44 tc_prod( X, X ), tc_HOL_Obool ) ) ) }.
% 0.87/1.44 { c_Order__Relation_Owell__order__on( X, c_Orderings_Obot__class_Obot(
% 0.87/1.44 tc_fun( X, tc_HOL_Obool ) ), c_Orderings_Obot__class_Obot( tc_fun(
% 0.87/1.44 tc_prod( X, X ), tc_HOL_Obool ) ) ) }.
% 0.87/1.44 { c_Relation_Ototal__on( Y, c_Orderings_Obot__class_Obot( tc_fun( Y,
% 0.87/1.44 tc_HOL_Obool ) ), X ) }.
% 0.87/1.44 { ! class_Lattices_Obounded__lattice__bot( X ),
% 0.87/1.44 c_Lattices_Osemilattice__sup__class_Osup( X, c_Orderings_Obot__class_Obot
% 0.87/1.44 ( X ), Y ) = Y }.
% 0.87/1.44 { ! class_Lattices_Obounded__lattice__bot( X ),
% 0.87/1.44 c_Lattices_Osemilattice__sup__class_Osup( X, Y,
% 0.87/1.44 c_Orderings_Obot__class_Obot( X ) ) = Y }.
% 0.87/1.44 { ! class_Lattices_Obounded__lattice__bot( X ), !
% 0.87/1.44 c_Lattices_Osemilattice__sup__class_Osup( X, Z, Y ) =
% 0.87/1.44 c_Orderings_Obot__class_Obot( X ), Z = c_Orderings_Obot__class_Obot( X )
% 0.87/1.44 }.
% 0.87/1.44 { ! class_Lattices_Obounded__lattice__bot( X ), !
% 0.87/1.44 c_Lattices_Osemilattice__sup__class_Osup( X, Z, Y ) =
% 0.87/1.44 c_Orderings_Obot__class_Obot( X ), Y = c_Orderings_Obot__class_Obot( X )
% 0.87/1.44 }.
% 0.87/1.44 { ! class_Lattices_Obounded__lattice__bot( X ), ! Z =
% 0.87/1.44 c_Orderings_Obot__class_Obot( X ), ! Y = c_Orderings_Obot__class_Obot( X
% 0.87/1.44 ), c_Lattices_Osemilattice__sup__class_Osup( X, Z, Y ) =
% 0.87/1.44 c_Orderings_Obot__class_Obot( X ) }.
% 0.87/1.44 { ! c_member( Z, Y, c_Set_Oinsert( Z, X, c_Orderings_Obot__class_Obot(
% 0.87/1.44 tc_fun( Z, tc_HOL_Obool ) ) ) ), Y = X }.
% 0.87/1.44 { ! Y = X, c_member( Z, Y, c_Set_Oinsert( Z, X,
% 0.87/1.44 c_Orderings_Obot__class_Obot( tc_fun( Z, tc_HOL_Obool ) ) ) ) }.
% 0.87/1.44 { ! c_member( Z, Y, c_Set_Oinsert( Z, X, c_Orderings_Obot__class_Obot(
% 0.87/1.44 tc_fun( Z, tc_HOL_Obool ) ) ) ), Y = X }.
% 0.87/1.44 { c_Set_Oinsert( Z, Y, X ) = c_Lattices_Osemilattice__sup__class_Osup(
% 0.87/1.44 tc_fun( Z, tc_HOL_Obool ), c_Set_Oinsert( Z, Y,
% 0.87/1.44 c_Orderings_Obot__class_Obot( tc_fun( Z, tc_HOL_Obool ) ) ), X ) }.
% 0.87/1.44 { c_Groups_Ominus__class_Ominus( tc_fun( T, tc_HOL_Obool ), Z,
% 0.87/1.44 c_Set_Oinsert( T, Y, X ) ) = c_Groups_Ominus__class_Ominus( tc_fun( T,
% 0.87/1.44 tc_HOL_Obool ), c_Groups_Ominus__class_Ominus( tc_fun( T, tc_HOL_Obool )
% 0.87/1.44 , Z, X ), c_Set_Oinsert( T, Y, c_Orderings_Obot__class_Obot( tc_fun( T,
% 0.87/1.44 tc_HOL_Obool ) ) ) ) }.
% 0.87/1.44 { c_Groups_Ominus__class_Ominus( tc_fun( T, tc_HOL_Obool ), Z,
% 0.87/1.44 c_Set_Oinsert( T, Y, X ) ) = c_Groups_Ominus__class_Ominus( tc_fun( T,
% 0.87/1.44 tc_HOL_Obool ), c_Groups_Ominus__class_Ominus( tc_fun( T, tc_HOL_Obool )
% 0.87/1.44 , Z, c_Set_Oinsert( T, Y, c_Orderings_Obot__class_Obot( tc_fun( T,
% 0.87/1.44 tc_HOL_Obool ) ) ) ), X ) }.
% 0.87/1.44 { c_Set_Oinsert( Z, Y, c_Groups_Ominus__class_Ominus( tc_fun( Z,
% 0.87/1.44 tc_HOL_Obool ), X, c_Set_Oinsert( Z, Y, c_Orderings_Obot__class_Obot(
% 0.87/1.44 tc_fun( Z, tc_HOL_Obool ) ) ) ) ) = c_Set_Oinsert( Z, Y, X ) }.
% 0.87/1.44 { ! c_member( tc_prod( tc_Nat_Onat, tc_Nat_Onat ), c_Product__Type_OPair(
% 0.87/1.44 tc_Nat_Onat, tc_Nat_Onat, Y, X ), c_Wellfounded_Oless__than ),
% 0.87/1.44 c_Orderings_Oord__class_Oless( tc_Nat_Onat, Y, X ) }.
% 0.87/1.44 { ! c_Orderings_Oord__class_Oless( tc_Nat_Onat, Y, X ), c_member( tc_prod(
% 0.87/1.44 tc_Nat_Onat, tc_Nat_Onat ), c_Product__Type_OPair( tc_Nat_Onat,
% 0.87/1.44 tc_Nat_Onat, Y, X ), c_Wellfounded_Oless__than ) }.
% 0.87/1.44 { c_Transitive__Closure_Ortrancl( X, c_Orderings_Obot__class_Obot( tc_fun(
% 0.87/1.44 tc_prod( X, X ), tc_HOL_Obool ) ) ) = c_Relation_OId( X ) }.
% 0.87/1.44 { ! c_member( Z, Y, X ), c_Set_Oinsert( Z, Y, c_Groups_Ominus__class_Ominus
% 0.87/1.44 ( tc_fun( Z, tc_HOL_Obool ), X, c_Set_Oinsert( Z, Y,
% 0.87/1.44 c_Orderings_Obot__class_Obot( tc_fun( Z, tc_HOL_Obool ) ) ) ) ) = X }.
% 0.87/1.44 { c_member( Z, Y, X ), c_Groups_Ominus__class_Ominus( tc_fun( Z,
% 0.87/1.44 tc_HOL_Obool ), c_Set_Oinsert( Z, Y, X ), c_Set_Oinsert( Z, Y,
% 0.87/1.44 c_Orderings_Obot__class_Obot( tc_fun( Z, tc_HOL_Obool ) ) ) ) = X }.
% 0.87/1.44 { ! class_Groups_Oab__group__add( X ), ! c_Groups_Ominus__class_Ominus( X,
% 0.87/1.44 U, T ) = c_Groups_Ominus__class_Ominus( X, Z, Y ), ! U = T, Z = Y }.
% 0.87/1.44 { ! class_Groups_Oab__group__add( X ), ! c_Groups_Ominus__class_Ominus( X,
% 0.87/1.44 U, T ) = c_Groups_Ominus__class_Ominus( X, Z, Y ), ! Z = Y, U = T }.
% 0.87/1.44 { ! c_Wellfounded_Owf( Y, X ), c_Wellfounded_Owf( Y,
% 0.87/1.44 c_Wellfounded_Omlex__prod( Y, Z, X ) ) }.
% 0.87/1.44 { c_Set_Othe__elem( Y, c_Set_Oinsert( Y, X, c_Orderings_Obot__class_Obot(
% 0.87/1.44 tc_fun( Y, tc_HOL_Obool ) ) ) ) = X }.
% 0.87/1.44 { ! c_member( Z, Y, X ), ! c_Nitpick_Ofold__graph_H( Z, V0, W, U,
% 0.87/1.44 c_Groups_Ominus__class_Ominus( tc_fun( Z, tc_HOL_Obool ), X,
% 0.87/1.44 c_Set_Oinsert( Z, Y, c_Orderings_Obot__class_Obot( tc_fun( Z,
% 0.87/1.44 tc_HOL_Obool ) ) ) ), T ), c_Nitpick_Ofold__graph_H( Z, V0, W, U, X, hAPP
% 0.87/1.44 ( hAPP( W, Y ), T ) ) }.
% 0.87/1.44 { ! class_Orderings_Obot( X ), hAPP( c_Orderings_Obot__class_Obot( tc_fun(
% 0.87/1.44 Z, X ) ), Y ) = c_Orderings_Obot__class_Obot( X ) }.
% 0.87/1.44 { ! c_Relation_Orefl__on( Y, c_Relation_OField( Y, X ), X ), !
% 0.87/1.44 c_Relation_Oantisym( Y, X ), ! c_member( Y, Z, c_Relation_OField( Y, X )
% 0.87/1.44 ), ! c_member( Y, T, c_Relation_OField( Y, X ) ), ! c_Relation_OImage( Y
% 0.87/1.44 , Y, X, c_Set_Oinsert( Y, Z, c_Orderings_Obot__class_Obot( tc_fun( Y,
% 0.87/1.44 tc_HOL_Obool ) ) ) ) = c_Relation_OImage( Y, Y, X, c_Set_Oinsert( Y, T,
% 0.87/1.44 c_Orderings_Obot__class_Obot( tc_fun( Y, tc_HOL_Obool ) ) ) ), Z = T }.
% 0.87/1.44 { ! c_Relation_Orefl__on( Y, c_Relation_OField( Y, X ), X ), !
% 0.87/1.44 c_Relation_Oantisym( Y, X ), ! c_member( Y, Z, c_Relation_OField( Y, X )
% 0.87/1.44 ), ! c_member( Y, T, c_Relation_OField( Y, X ) ), ! Z = T,
% 0.87/1.44 c_Relation_OImage( Y, Y, X, c_Set_Oinsert( Y, Z,
% 0.87/1.44 c_Orderings_Obot__class_Obot( tc_fun( Y, tc_HOL_Obool ) ) ) ) =
% 0.87/1.44 c_Relation_OImage( Y, Y, X, c_Set_Oinsert( Y, T,
% 0.87/1.44 c_Orderings_Obot__class_Obot( tc_fun( Y, tc_HOL_Obool ) ) ) ) }.
% 0.87/1.44 { ! c_Orderings_Oord__class_Oless( tc_fun( Z, tc_HOL_Obool ), Y, X ), !
% 0.87/1.44 c_Orderings_Oord__class_Oless( tc_fun( Z, tc_HOL_Obool ), X, T ),
% 0.87/1.44 c_Orderings_Oord__class_Oless( tc_fun( Z, tc_HOL_Obool ), Y, T ) }.
% 0.87/1.44 { c_Relation_OImage( Z, Y, X, c_Orderings_Obot__class_Obot( tc_fun( Z,
% 0.87/1.44 tc_HOL_Obool ) ) ) = c_Orderings_Obot__class_Obot( tc_fun( Y,
% 0.87/1.44 tc_HOL_Obool ) ) }.
% 0.87/1.44 { c_Relation_OImage( Y, Y, c_Relation_OId( Y ), X ) = X }.
% 0.87/1.44 { c_Relation_OImage( U, T, Z, c_Lattices_Osemilattice__sup__class_Osup(
% 0.87/1.44 tc_fun( U, tc_HOL_Obool ), Y, X ) ) =
% 0.87/1.44 c_Lattices_Osemilattice__sup__class_Osup( tc_fun( T, tc_HOL_Obool ),
% 0.87/1.44 c_Relation_OImage( U, T, Z, Y ), c_Relation_OImage( U, T, Z, X ) ) }.
% 0.87/1.44 { c_Relation_OImage( U, T, c_Lattices_Osemilattice__sup__class_Osup( tc_fun
% 0.87/1.44 ( tc_prod( U, T ), tc_HOL_Obool ), Z, Y ), X ) =
% 0.87/1.44 c_Lattices_Osemilattice__sup__class_Osup( tc_fun( T, tc_HOL_Obool ),
% 0.87/1.44 c_Relation_OImage( U, T, Z, X ), c_Relation_OImage( U, T, Y, X ) ) }.
% 0.87/1.44 { c_Nitpick_Ofold__graph_H( T, Z, Y, X, c_Orderings_Obot__class_Obot(
% 0.87/1.44 tc_fun( T, tc_HOL_Obool ) ), X ) }.
% 0.87/1.44 { c_Nitpick_Ofold__graph_H( T, Z, Y, X, c_Orderings_Obot__class_Obot(
% 0.87/1.44 tc_fun( T, tc_HOL_Obool ) ), X ) }.
% 0.87/1.44 { ! c_member( Z, Y, X ), ! c_member( tc_prod( Z, W ), c_Product__Type_OPair
% 0.87/1.44 ( Z, W, Y, U ), T ), c_member( W, U, c_Relation_OImage( Z, W, T, X ) ) }
% 0.87/1.44 .
% 0.87/1.44 { ! c_member( U, T, c_Relation_OImage( Z, U, Y, X ) ), c_member( Z, skol65
% 0.87/1.44 ( X, W, Z, V0, V1 ), X ) }.
% 0.87/1.44 { ! c_member( U, T, c_Relation_OImage( Z, U, Y, X ) ), c_member( tc_prod( Z
% 0.87/1.44 , U ), c_Product__Type_OPair( Z, U, skol65( X, Y, Z, T, U ), T ), Y ) }.
% 0.87/1.44 { ! c_member( Z, W, X ), ! c_member( tc_prod( Z, U ), c_Product__Type_OPair
% 0.87/1.44 ( Z, U, W, T ), Y ), c_member( U, T, c_Relation_OImage( Z, U, Y, X ) ) }
% 0.87/1.44 .
% 0.87/1.44 { ! class_Orderings_Opreorder( X ), ! c_Orderings_Oord__class_Oless( X, Y,
% 0.87/1.44 Y ) }.
% 0.87/1.44 { ! class_Orderings_Olinorder( X ), Z = Y, c_Orderings_Oord__class_Oless( X
% 0.87/1.44 , Z, Y ), c_Orderings_Oord__class_Oless( X, Y, Z ) }.
% 0.87/1.44 { ! class_Orderings_Olinorder( X ), ! c_Orderings_Oord__class_Oless( X, Z,
% 0.87/1.44 Y ), ! Z = Y }.
% 0.87/1.44 { ! class_Orderings_Olinorder( X ), ! c_Orderings_Oord__class_Oless( X, Y,
% 0.87/1.44 Z ), ! Z = Y }.
% 0.87/1.44 { ! class_Orderings_Olinorder( X ), c_Orderings_Oord__class_Oless( X, Z, Y
% 0.87/1.44 ), c_Orderings_Oord__class_Oless( X, Y, Z ), Z = Y }.
% 0.87/1.44 { ! class_Orderings_Olinorder( X ), ! c_Orderings_Oord__class_Oless( X, Y,
% 0.87/1.44 Z ), ! c_Orderings_Oord__class_Oless( X, Z, Y ) }.
% 0.87/1.44 { ! class_Orderings_Olinorder( X ), ! Z = Y, !
% 0.87/1.44 c_Orderings_Oord__class_Oless( X, Z, Y ) }.
% 0.87/1.44 { ! class_Orderings_Olinorder( X ), c_Orderings_Oord__class_Oless( X, Z, Y
% 0.87/1.44 ), Z = Y, c_Orderings_Oord__class_Oless( X, Y, Z ) }.
% 0.87/1.44 { ! class_Orderings_Olinorder( X ), c_Orderings_Oord__class_Oless( X, Z, Y
% 0.87/1.44 ), c_Orderings_Oord__class_Oless( X, Y, Z ), Y = Z }.
% 0.87/1.44 { ! class_Orderings_Olinorder( X ), c_Orderings_Oord__class_Oless( X, Z, Y
% 0.87/1.44 ), ! Y = Z, ! c_Orderings_Oord__class_Oless( X, Y, Z ) }.
% 0.87/1.44 { ! class_Orderings_Olinorder( X ), Z = Y, c_Orderings_Oord__class_Oless( X
% 0.87/1.44 , Z, Y ), c_Orderings_Oord__class_Oless( X, Y, Z ) }.
% 0.87/1.44 { ! class_Orderings_Oorder( X ), ! c_Orderings_Oord__class_Oless( X, Z, Y )
% 0.87/1.44 , ! Z = Y }.
% 0.87/1.44 { ! class_Orderings_Opreorder( X ), ! c_Orderings_Oord__class_Oless( X, Z,
% 0.87/1.44 Y ), ! c_Orderings_Oord__class_Oless( X, Y, Z ) }.
% 0.87/1.44 { ! class_Orderings_Opreorder( X ), ! c_Orderings_Oord__class_Oless( X, Z,
% 0.87/1.44 Y ), ! c_Orderings_Oord__class_Oless( X, Y, Z ) }.
% 0.87/1.44 { ! class_Orderings_Oorder( X ), ! c_Orderings_Oord__class_Oless( X, Z, Y )
% 0.87/1.44 , ! Z = Y }.
% 0.87/1.44 { ! class_Orderings_Oorder( X ), ! c_Orderings_Oord__class_Oless( X, Z, Y )
% 0.87/1.44 , ! Y = Z }.
% 0.87/1.44 { ! class_Orderings_Opreorder( X ), ! c_Orderings_Oord__class_Oless( X, Z,
% 0.87/1.44 Y ), ! c_Orderings_Oord__class_Oless( X, Y, Z ) }.
% 0.87/1.44 { ! class_Orderings_Oorder( X ), ! c_Orderings_Oord__class_Oless( X, Z, Y )
% 0.87/1.44 , ! c_Orderings_Oord__class_Oless( X, Y, Z ) }.
% 0.87/1.44 { ! class_Orderings_Oord( X ), ! Z = Y, ! c_Orderings_Oord__class_Oless( X
% 0.87/1.44 , Y, T ), c_Orderings_Oord__class_Oless( X, Z, T ) }.
% 0.87/1.44 { ! class_Orderings_Oorder( X ), ! Z = Y, ! c_Orderings_Oord__class_Oless(
% 0.87/1.44 X, T, Y ), c_Orderings_Oord__class_Oless( X, T, Z ) }.
% 0.87/1.44 { ! class_Orderings_Oord( X ), ! c_Orderings_Oord__class_Oless( X, Z, Y ),
% 0.87/1.44 ! Y = T, c_Orderings_Oord__class_Oless( X, Z, T ) }.
% 0.87/1.44 { ! class_Orderings_Oorder( X ), ! c_Orderings_Oord__class_Oless( X, Z, Y )
% 0.87/1.44 , ! Z = T, c_Orderings_Oord__class_Oless( X, T, Y ) }.
% 0.87/1.44 { ! class_Orderings_Opreorder( X ), ! c_Orderings_Oord__class_Oless( X, Z,
% 0.87/1.44 Y ), ! c_Orderings_Oord__class_Oless( X, Y, T ),
% 0.87/1.44 c_Orderings_Oord__class_Oless( X, Z, T ) }.
% 0.87/1.44 { ! class_Orderings_Oorder( X ), ! c_Orderings_Oord__class_Oless( X, Z, Y )
% 0.87/1.44 , ! c_Orderings_Oord__class_Oless( X, T, Z ),
% 0.87/1.44 c_Orderings_Oord__class_Oless( X, T, Y ) }.
% 0.87/1.44 { ! class_Orderings_Opreorder( X ), ! c_Orderings_Oord__class_Oless( X, Z,
% 0.87/1.44 Y ), ! c_Orderings_Oord__class_Oless( X, Y, Z ) }.
% 0.87/1.44 { ! class_Orderings_Olinorder( X ), c_Orderings_Oord__class_Oless( X, Z, Y
% 0.87/1.44 ), Z = Y, c_Orderings_Oord__class_Oless( X, Y, Z ) }.
% 0.87/1.44 { ! c_member( U, T, c_Relation_OImage( Z, U, Y, c_Set_Oinsert( Z, X,
% 0.87/1.44 c_Orderings_Obot__class_Obot( tc_fun( Z, tc_HOL_Obool ) ) ) ) ), c_member
% 0.87/1.44 ( tc_prod( Z, U ), c_Product__Type_OPair( Z, U, X, T ), Y ) }.
% 0.87/1.44 { ! c_member( tc_prod( Z, U ), c_Product__Type_OPair( Z, U, X, T ), Y ),
% 0.87/1.44 c_member( U, T, c_Relation_OImage( Z, U, Y, c_Set_Oinsert( Z, X,
% 0.87/1.44 c_Orderings_Obot__class_Obot( tc_fun( Z, tc_HOL_Obool ) ) ) ) ) }.
% 0.87/1.44 { ! c_Order__Relation_Opartial__order__on( Y, c_Relation_OField( Y, X ), X
% 0.87/1.44 ), ! c_member( Y, Z, c_Relation_OField( Y, X ) ), ! c_member( Y, T,
% 0.87/1.44 c_Relation_OField( Y, X ) ), ! c_Relation_OImage( Y, Y, X, c_Set_Oinsert
% 0.87/1.44 ( Y, Z, c_Orderings_Obot__class_Obot( tc_fun( Y, tc_HOL_Obool ) ) ) ) =
% 0.87/1.44 c_Relation_OImage( Y, Y, X, c_Set_Oinsert( Y, T,
% 0.87/1.44 c_Orderings_Obot__class_Obot( tc_fun( Y, tc_HOL_Obool ) ) ) ), Z = T }.
% 0.87/1.44 { ! c_Order__Relation_Opartial__order__on( Y, c_Relation_OField( Y, X ), X
% 0.87/1.44 ), ! c_member( Y, Z, c_Relation_OField( Y, X ) ), ! c_member( Y, T,
% 0.87/1.44 c_Relation_OField( Y, X ) ), ! Z = T, c_Relation_OImage( Y, Y, X,
% 0.87/1.44 c_Set_Oinsert( Y, Z, c_Orderings_Obot__class_Obot( tc_fun( Y,
% 0.87/1.44 tc_HOL_Obool ) ) ) ) = c_Relation_OImage( Y, Y, X, c_Set_Oinsert( Y, T,
% 0.87/1.44 c_Orderings_Obot__class_Obot( tc_fun( Y, tc_HOL_Obool ) ) ) ) }.
% 0.87/1.44 { ! c_member( tc_prod( tc_Nat_Onat, tc_Nat_Onat ), c_Product__Type_OPair(
% 0.87/1.44 tc_Nat_Onat, tc_Nat_Onat, Y, X ), c_Transitive__Closure_Otrancl(
% 0.87/1.44 tc_Nat_Onat, c_Wellfounded_Opred__nat ) ), c_Orderings_Oord__class_Oless
% 0.87/1.44 ( tc_Nat_Onat, Y, X ) }.
% 0.87/1.44 { ! c_Orderings_Oord__class_Oless( tc_Nat_Onat, Y, X ), c_member( tc_prod(
% 0.87/1.44 tc_Nat_Onat, tc_Nat_Onat ), c_Product__Type_OPair( tc_Nat_Onat,
% 0.87/1.44 tc_Nat_Onat, Y, X ), c_Transitive__Closure_Otrancl( tc_Nat_Onat,
% 0.87/1.44 c_Wellfounded_Opred__nat ) ) }.
% 0.87/1.44 { ! c_Order__Relation_Opreorder__on( Y, c_Relation_OField( Y, X ), X ), !
% 0.87/1.44 c_member( Y, Z, c_Relation_OField( Y, X ) ), ! c_member( Y, T,
% 0.87/1.44 c_Relation_OField( Y, X ) ), ! c_Orderings_Oord__class_Oless__eq( tc_fun
% 0.87/1.44 ( Y, tc_HOL_Obool ), c_Relation_OImage( Y, Y, X, c_Set_Oinsert( Y, Z,
% 0.87/1.44 c_Orderings_Obot__class_Obot( tc_fun( Y, tc_HOL_Obool ) ) ) ),
% 0.87/1.44 c_Relation_OImage( Y, Y, X, c_Set_Oinsert( Y, T,
% 0.87/1.44 c_Orderings_Obot__class_Obot( tc_fun( Y, tc_HOL_Obool ) ) ) ) ), c_member
% 0.87/1.44 ( tc_prod( Y, Y ), c_Product__Type_OPair( Y, Y, T, Z ), X ) }.
% 0.87/1.44 { ! c_Order__Relation_Opreorder__on( Y, c_Relation_OField( Y, X ), X ), !
% 0.87/1.44 c_member( Y, Z, c_Relation_OField( Y, X ) ), ! c_member( Y, T,
% 0.87/1.44 c_Relation_OField( Y, X ) ), ! c_member( tc_prod( Y, Y ),
% 0.87/1.44 c_Product__Type_OPair( Y, Y, T, Z ), X ),
% 0.87/1.44 c_Orderings_Oord__class_Oless__eq( tc_fun( Y, tc_HOL_Obool ),
% 0.87/1.44 c_Relation_OImage( Y, Y, X, c_Set_Oinsert( Y, Z,
% 0.87/1.44 c_Orderings_Obot__class_Obot( tc_fun( Y, tc_HOL_Obool ) ) ) ),
% 0.87/1.44 c_Relation_OImage( Y, Y, X, c_Set_Oinsert( Y, T,
% 0.87/1.44 c_Orderings_Obot__class_Obot( tc_fun( Y, tc_HOL_Obool ) ) ) ) ) }.
% 0.87/1.44 { ! c_Nitpick_Ofold__graph_H( V0, W, U, T, Z, hAPP( hAPP( U, Y ), X ) ),
% 0.87/1.44 alpha18( X, Y, Z, T, U, V0 ), alpha31( X, Y, Z, T, U, W, V0 ) }.
% 0.87/1.44 { ! alpha18( X, Y, Z, T, U, V0 ), c_Nitpick_Ofold__graph_H( V0, W, U, T, Z
% 0.87/1.44 , hAPP( hAPP( U, Y ), X ) ) }.
% 0.87/1.44 { ! alpha31( X, Y, Z, T, U, W, V0 ), c_Nitpick_Ofold__graph_H( V0, W, U, T
% 0.87/1.44 , Z, hAPP( hAPP( U, Y ), X ) ) }.
% 0.87/1.44 { ! alpha31( X, Y, Z, T, U, W, V0 ), hAPP( hAPP( U, Y ), X ) = hAPP( hAPP(
% 0.87/1.44 U, skol66( X, Y, Z, T, U, W, V0 ) ), skol93( X, Y, Z, T, U, W, V0 ) ) }.
% 0.87/1.44 { ! alpha31( X, Y, Z, T, U, W, V0 ), alpha41( Z, T, U, W, V0, skol66( X, Y
% 0.87/1.44 , Z, T, U, W, V0 ), skol93( X, Y, Z, T, U, W, V0 ) ) }.
% 0.87/1.44 { ! hAPP( hAPP( U, Y ), X ) = hAPP( hAPP( U, V1 ), V2 ), ! alpha41( Z, T, U
% 0.87/1.44 , W, V0, V1, V2 ), alpha31( X, Y, Z, T, U, W, V0 ) }.
% 0.87/1.44 { ! alpha41( X, Y, Z, T, U, W, V0 ), c_member( U, W, X ) }.
% 0.87/1.44 { ! alpha41( X, Y, Z, T, U, W, V0 ), c_Nitpick_Ofold__graph_H( U, T, Z, Y,
% 0.87/1.44 c_Groups_Ominus__class_Ominus( tc_fun( U, tc_HOL_Obool ), X,
% 0.87/1.44 c_Set_Oinsert( U, W, c_Orderings_Obot__class_Obot( tc_fun( U,
% 0.87/1.44 tc_HOL_Obool ) ) ) ), V0 ) }.
% 0.87/1.44 { ! c_member( U, W, X ), ! c_Nitpick_Ofold__graph_H( U, T, Z, Y,
% 0.87/1.44 c_Groups_Ominus__class_Ominus( tc_fun( U, tc_HOL_Obool ), X,
% 0.87/1.44 c_Set_Oinsert( U, W, c_Orderings_Obot__class_Obot( tc_fun( U,
% 0.87/1.44 tc_HOL_Obool ) ) ) ), V0 ), alpha41( X, Y, Z, T, U, W, V0 ) }.
% 0.87/1.44 { ! alpha18( X, Y, Z, T, U, W ), Z = c_Orderings_Obot__class_Obot( tc_fun(
% 0.87/1.44 W, tc_HOL_Obool ) ) }.
% 0.87/1.44 { ! alpha18( X, Y, Z, T, U, W ), hAPP( hAPP( U, Y ), X ) = T }.
% 0.87/1.44 { ! Z = c_Orderings_Obot__class_Obot( tc_fun( W, tc_HOL_Obool ) ), ! hAPP(
% 0.87/1.44 hAPP( U, Y ), X ) = T, alpha18( X, Y, Z, T, U, W ) }.
% 0.87/1.44 { ! class_Orderings_Opreorder( X ), c_Orderings_Oord__class_Oless__eq( X, Y
% 0.87/1.44 , Y ) }.
% 0.87/1.44 { ! c_Orderings_Oord__class_Oless__eq( tc_fun( Z, tc_HOL_Obool ), Y, X ), !
% 0.87/1.44 c_Orderings_Oord__class_Oless__eq( tc_fun( Z, tc_HOL_Obool ), X, Y ), Y
% 0.87/1.44 = X }.
% 0.87/1.44 { ! c_Orderings_Oord__class_Oless__eq( tc_fun( Z, tc_HOL_Obool ), Y, X ), !
% 0.87/1.44 c_member( Z, T, Y ), c_member( Z, T, X ) }.
% 0.87/1.44 { c_Orderings_Oord__class_Oless__eq( tc_fun( Y, tc_HOL_Obool ),
% 0.87/1.44 c_Orderings_Obot__class_Obot( tc_fun( Y, tc_HOL_Obool ) ), X ) }.
% 0.87/1.44 { ! class_Orderings_Olinorder( X ), c_Orderings_Oord__class_Oless( X, Z, Y
% 0.87/1.44 ), c_Orderings_Oord__class_Oless__eq( X, Y, Z ) }.
% 0.87/1.44 { ! class_Orderings_Olinorder( X ), ! c_Orderings_Oord__class_Oless__eq( X
% 0.87/1.44 , Y, Z ), ! c_Orderings_Oord__class_Oless( X, Z, Y ) }.
% 0.87/1.44 { ! class_Orderings_Olinorder( X ), c_Orderings_Oord__class_Oless__eq( X, Z
% 0.87/1.44 , Y ), c_Orderings_Oord__class_Oless( X, Y, Z ) }.
% 0.87/1.44 { ! class_Orderings_Olinorder( X ), ! c_Orderings_Oord__class_Oless( X, Y,
% 0.87/1.44 Z ), ! c_Orderings_Oord__class_Oless__eq( X, Z, Y ) }.
% 0.87/1.44 { ! class_Orderings_Olinorder( X ), c_Orderings_Oord__class_Oless__eq( X, Z
% 0.87/1.44 , Y ), c_Orderings_Oord__class_Oless( X, Y, Z ) }.
% 0.87/1.44 { ! class_Orderings_Oord( X ), ! c_Orderings_Oord__class_Oless( tc_fun( T,
% 0.87/1.44 X ), Z, Y ), c_Orderings_Oord__class_Oless__eq( tc_fun( T, X ), Z, Y ) }
% 0.87/1.44 .
% 0.87/1.44 { ! class_Orderings_Oord( X ), ! c_Orderings_Oord__class_Oless( tc_fun( T,
% 0.87/1.44 X ), Z, Y ), ! c_Orderings_Oord__class_Oless__eq( tc_fun( T, X ), Y, Z )
% 0.87/1.44 }.
% 0.87/1.44 { ! class_Orderings_Oord( X ), ! c_Orderings_Oord__class_Oless__eq( tc_fun
% 0.87/1.44 ( T, X ), Z, Y ), c_Orderings_Oord__class_Oless__eq( tc_fun( T, X ), Y, Z
% 0.87/1.44 ), c_Orderings_Oord__class_Oless( tc_fun( T, X ), Z, Y ) }.
% 0.87/1.44 { ! class_Orderings_Oorder( X ), ! c_Orderings_Oord__class_Oless( X, Z, Y )
% 0.87/1.44 , c_Orderings_Oord__class_Oless__eq( X, Z, Y ) }.
% 0.87/1.44 { ! class_Orderings_Oorder( X ), ! c_Orderings_Oord__class_Oless( X, Z, Y )
% 0.87/1.44 , ! Z = Y }.
% 0.87/1.44 { ! class_Orderings_Oorder( X ), ! c_Orderings_Oord__class_Oless__eq( X, Z
% 0.87/1.44 , Y ), Z = Y, c_Orderings_Oord__class_Oless( X, Z, Y ) }.
% 0.87/1.44 { ! class_Orderings_Opreorder( X ), ! c_Orderings_Oord__class_Oless( X, Z,
% 0.87/1.44 Y ), c_Orderings_Oord__class_Oless__eq( X, Z, Y ) }.
% 0.87/1.44 { ! class_Orderings_Opreorder( X ), ! c_Orderings_Oord__class_Oless( X, Z,
% 0.87/1.44 Y ), ! c_Orderings_Oord__class_Oless__eq( X, Y, Z ) }.
% 0.87/1.44 { ! class_Orderings_Opreorder( X ), ! c_Orderings_Oord__class_Oless__eq( X
% 0.87/1.44 , Z, Y ), c_Orderings_Oord__class_Oless__eq( X, Y, Z ),
% 0.87/1.44 c_Orderings_Oord__class_Oless( X, Z, Y ) }.
% 0.87/1.44 { ! class_Orderings_Oorder( X ), ! c_Orderings_Oord__class_Oless__eq( X, Z
% 0.87/1.44 , Y ), c_Orderings_Oord__class_Oless( X, Z, Y ), Z = Y }.
% 0.87/1.44 { ! class_Orderings_Oorder( X ), ! c_Orderings_Oord__class_Oless( X, Z, Y )
% 0.87/1.44 , c_Orderings_Oord__class_Oless__eq( X, Z, Y ) }.
% 0.87/1.44 { ! class_Orderings_Oorder( X ), ! Z = Y, c_Orderings_Oord__class_Oless__eq
% 0.87/1.44 ( X, Z, Y ) }.
% 0.87/1.44 { ! class_Orderings_Olinorder( X ), c_Orderings_Oord__class_Oless( X, Z, Y
% 0.87/1.44 ), c_Orderings_Oord__class_Oless__eq( X, Y, Z ) }.
% 0.87/1.44 { ! class_Orderings_Olinorder( X ), c_Orderings_Oord__class_Oless__eq( X, Z
% 0.87/1.44 , Y ), c_Orderings_Oord__class_Oless( X, Y, Z ) }.
% 0.87/1.44 { ! class_Orderings_Olinorder( X ), c_Orderings_Oord__class_Oless( X, Z, Y
% 0.87/1.44 ), ! c_Orderings_Oord__class_Oless__eq( X, Z, Y ), Z = Y }.
% 0.87/1.44 { ! class_Orderings_Olinorder( X ), c_Orderings_Oord__class_Oless( X, Z, Y
% 0.87/1.44 ), ! Z = Y, c_Orderings_Oord__class_Oless__eq( X, Z, Y ) }.
% 0.87/1.44 { ! class_Orderings_Oorder( X ), Z = Y, ! c_Orderings_Oord__class_Oless__eq
% 0.87/1.44 ( X, Z, Y ), c_Orderings_Oord__class_Oless( X, Z, Y ) }.
% 0.87/1.44 { ! class_Orderings_Oorder( X ), Z = Y, ! c_Orderings_Oord__class_Oless__eq
% 0.87/1.44 ( X, Y, Z ), c_Orderings_Oord__class_Oless( X, Y, Z ) }.
% 0.87/1.44 { ! class_Orderings_Olinorder( X ), ! c_Orderings_Oord__class_Oless__eq( X
% 0.87/1.44 , Z, Y ), ! c_Orderings_Oord__class_Oless( X, Y, Z ) }.
% 0.87/1.44 { ! class_Orderings_Opreorder( X ), ! c_Orderings_Oord__class_Oless( X, Z,
% 0.87/1.44 Y ), c_Orderings_Oord__class_Oless__eq( X, Z, Y ) }.
% 0.87/1.44 { ! class_Orderings_Olinorder( X ), ! c_Orderings_Oord__class_Oless__eq( X
% 0.87/1.44 , Z, Y ), c_Orderings_Oord__class_Oless( X, Z, Y ), Z = Y }.
% 0.87/1.44 { ! class_Orderings_Olinorder( X ), ! c_Orderings_Oord__class_Oless__eq( X
% 0.87/1.44 , Z, Y ), ! Z = Y, ! c_Orderings_Oord__class_Oless( X, Z, Y ) }.
% 0.87/1.44 { ! class_Orderings_Oorder( X ), ! c_Orderings_Oord__class_Oless__eq( X, Z
% 0.87/1.44 , Y ), c_Orderings_Oord__class_Oless( X, Z, Y ), Z = Y }.
% 0.87/1.44 { ! class_Orderings_Oorder( X ), ! c_Orderings_Oord__class_Oless__eq( X, Z
% 0.87/1.44 , Y ), Z = Y, c_Orderings_Oord__class_Oless( X, Z, Y ) }.
% 0.87/1.44 { ! class_Orderings_Oorder( X ), ! c_Orderings_Oord__class_Oless__eq( X, Z
% 0.87/1.44 , Y ), Y = Z, c_Orderings_Oord__class_Oless( X, Z, Y ) }.
% 0.87/1.44 { ! class_Orderings_Opreorder( X ), ! c_Orderings_Oord__class_Oless( X, Z,
% 0.87/1.44 Y ), ! c_Orderings_Oord__class_Oless__eq( X, Y, T ),
% 0.87/1.44 c_Orderings_Oord__class_Oless( X, Z, T ) }.
% 0.87/1.44 { ! class_Orderings_Oorder( X ), ! c_Orderings_Oord__class_Oless( X, Z, Y )
% 0.87/1.44 , ! c_Orderings_Oord__class_Oless__eq( X, T, Z ),
% 0.87/1.44 c_Orderings_Oord__class_Oless( X, T, Y ) }.
% 0.87/1.44 { ! class_Orderings_Opreorder( X ), ! c_Orderings_Oord__class_Oless__eq( X
% 0.87/1.44 , Z, Y ), ! c_Orderings_Oord__class_Oless( X, Y, T ),
% 0.87/1.44 c_Orderings_Oord__class_Oless( X, Z, T ) }.
% 0.87/1.44 { ! class_Orderings_Oorder( X ), ! c_Orderings_Oord__class_Oless__eq( X, Z
% 0.87/1.44 , Y ), ! c_Orderings_Oord__class_Oless( X, T, Z ),
% 0.87/1.44 c_Orderings_Oord__class_Oless( X, T, Y ) }.
% 0.87/1.44 { ! c_Orderings_Oord__class_Oless__eq( tc_fun( Z, tc_HOL_Obool ), Y, X ), !
% 0.87/1.44 c_Orderings_Oord__class_Oless( tc_fun( Z, tc_HOL_Obool ), X, T ),
% 0.87/1.44 c_Orderings_Oord__class_Oless( tc_fun( Z, tc_HOL_Obool ), Y, T ) }.
% 0.87/1.44 { ! c_Orderings_Oord__class_Oless( tc_fun( Z, tc_HOL_Obool ), Y, X ), !
% 0.87/1.44 c_Orderings_Oord__class_Oless__eq( tc_fun( Z, tc_HOL_Obool ), X, T ),
% 0.87/1.44 c_Orderings_Oord__class_Oless( tc_fun( Z, tc_HOL_Obool ), Y, T ) }.
% 0.87/1.44 { ! c_Orderings_Oord__class_Oless( tc_fun( Z, tc_HOL_Obool ), Y, X ),
% 0.87/1.44 c_Orderings_Oord__class_Oless__eq( tc_fun( Z, tc_HOL_Obool ), Y, X ) }.
% 0.87/1.44 { ! c_Orderings_Oord__class_Oless__eq( tc_fun( Z, tc_HOL_Obool ), Y, X ),
% 0.87/1.44 c_Orderings_Oord__class_Oless( tc_fun( Z, tc_HOL_Obool ), Y, X ), Y = X }
% 0.87/1.44 .
% 0.87/1.44 { ! c_Orderings_Oord__class_Oless( tc_fun( Z, tc_HOL_Obool ), Y, X ),
% 0.87/1.44 c_Orderings_Oord__class_Oless__eq( tc_fun( Z, tc_HOL_Obool ), Y, X ) }.
% 0.87/1.44 { ! Y = X, c_Orderings_Oord__class_Oless__eq( tc_fun( Z, tc_HOL_Obool ), Y
% 0.87/1.44 , X ) }.
% 0.87/1.44 { ! c_Orderings_Oord__class_Oless( tc_fun( Z, tc_HOL_Obool ), Y, X ),
% 0.87/1.44 c_Orderings_Oord__class_Oless__eq( tc_fun( Z, tc_HOL_Obool ), Y, X ) }.
% 0.87/1.44 { ! c_Orderings_Oord__class_Oless( tc_fun( Z, tc_HOL_Obool ), Y, X ), ! Y =
% 0.87/1.44 X }.
% 0.87/1.44 { ! c_Orderings_Oord__class_Oless__eq( tc_fun( Z, tc_HOL_Obool ), Y, X ), Y
% 0.87/1.44 = X, c_Orderings_Oord__class_Oless( tc_fun( Z, tc_HOL_Obool ), Y, X ) }
% 0.87/1.44 .
% 0.87/1.44 { ! c_Orderings_Oord__class_Oless__eq( tc_fun( Y, tc_HOL_Obool ), X,
% 0.87/1.44 c_Orderings_Obot__class_Obot( tc_fun( Y, tc_HOL_Obool ) ) ), X =
% 0.87/1.44 c_Orderings_Obot__class_Obot( tc_fun( Y, tc_HOL_Obool ) ) }.
% 0.87/1.44 { ! X = c_Orderings_Obot__class_Obot( tc_fun( Y, tc_HOL_Obool ) ),
% 0.87/1.44 c_Orderings_Oord__class_Oless__eq( tc_fun( Y, tc_HOL_Obool ), X,
% 0.87/1.44 c_Orderings_Obot__class_Obot( tc_fun( Y, tc_HOL_Obool ) ) ) }.
% 0.87/1.44 { ! Y = c_Orderings_Obot__class_Obot( tc_fun( tc_prod( X, X ), tc_HOL_Obool
% 0.87/1.44 ) ), c_Orderings_Oord__class_Oless__eq( tc_fun( tc_prod( X, X ),
% 0.87/1.44 tc_HOL_Obool ), Y, Z ) }.
% 0.87/1.44 { ! class_Orderings_Obot( X ), c_Orderings_Oord__class_Oless__eq( X,
% 0.87/1.44 c_Orderings_Obot__class_Obot( X ), Y ) }.
% 0.87/1.44 { ! c_Wellfounded_Owf( Y, X ), ! c_Orderings_Oord__class_Oless__eq( tc_fun
% 0.87/1.44 ( tc_prod( Y, Y ), tc_HOL_Obool ), Z, X ), c_Wellfounded_Owf( Y, Z ) }.
% 0.87/1.44 { ! c_Orderings_Oord__class_Oless__eq( tc_fun( tc_prod( T, Z ),
% 0.87/1.44 tc_HOL_Obool ), Y, X ), ! c_Orderings_Oord__class_Oless__eq( tc_fun( T,
% 0.87/1.44 tc_HOL_Obool ), W, U ), c_Orderings_Oord__class_Oless__eq( tc_fun( Z,
% 0.87/1.44 tc_HOL_Obool ), c_Relation_OImage( T, Z, Y, W ), c_Relation_OImage( T, Z
% 0.87/1.44 , X, U ) ) }.
% 0.87/1.44 { ! class_Orderings_Oord( X ), ! c_Orderings_Oord__class_Oless__eq( tc_fun
% 0.87/1.44 ( T, X ), Z, Y ), c_Orderings_Oord__class_Oless__eq( X, hAPP( Z, U ),
% 0.87/1.44 hAPP( Y, U ) ) }.
% 0.87/1.44 { ! class_Orderings_Oord( X ), ! c_Orderings_Oord__class_Oless__eq( X, hAPP
% 0.87/1.44 ( Z, skol67( X, Y, Z ) ), hAPP( Y, skol67( X, Y, Z ) ) ),
% 0.87/1.44 c_Orderings_Oord__class_Oless__eq( tc_fun( T, X ), Z, Y ) }.
% 0.87/1.44 { ! class_Orderings_Olinorder( X ), c_Orderings_Oord__class_Oless__eq( X, Z
% 0.87/1.44 , Y ), c_Orderings_Oord__class_Oless__eq( X, Y, Z ) }.
% 0.87/1.44 { ! class_Orderings_Oorder( X ), ! Z = Y, c_Orderings_Oord__class_Oless__eq
% 0.87/1.44 ( X, Z, Y ) }.
% 0.87/1.44 { ! class_Orderings_Oorder( X ), ! Z = Y, c_Orderings_Oord__class_Oless__eq
% 0.87/1.44 ( X, Y, Z ) }.
% 0.87/1.44 { ! class_Orderings_Oorder( X ), ! c_Orderings_Oord__class_Oless__eq( X, Z
% 0.87/1.44 , Y ), ! c_Orderings_Oord__class_Oless__eq( X, Y, Z ), Z = Y }.
% 0.87/1.44 { ! class_Orderings_Opreorder( X ), ! Z = Y,
% 0.87/1.44 c_Orderings_Oord__class_Oless__eq( X, Z, Y ) }.
% 0.87/1.44 { ! class_Orderings_Oord( X ), ! c_Orderings_Oord__class_Oless__eq( tc_fun
% 0.87/1.44 ( T, X ), Z, Y ), c_Orderings_Oord__class_Oless__eq( X, hAPP( Z, U ),
% 0.87/1.44 hAPP( Y, U ) ) }.
% 0.87/1.44 { ! class_Orderings_Oorder( X ), ! c_Orderings_Oord__class_Oless__eq( X, Z
% 0.87/1.44 , Y ), ! c_Orderings_Oord__class_Oless__eq( X, Y, Z ), Y = Z }.
% 0.87/1.44 { ! class_Orderings_Oorder( X ), ! c_Orderings_Oord__class_Oless__eq( X, Z
% 0.87/1.44 , Y ), ! Y = Z, c_Orderings_Oord__class_Oless__eq( X, Y, Z ) }.
% 0.87/1.44 { ! class_Orderings_Oord( X ), ! Z = Y, ! c_Orderings_Oord__class_Oless__eq
% 0.87/1.44 ( X, Y, T ), c_Orderings_Oord__class_Oless__eq( X, Z, T ) }.
% 0.87/1.44 { ! class_Orderings_Oorder( X ), ! Z = Y, !
% 0.87/1.44 c_Orderings_Oord__class_Oless__eq( X, T, Y ),
% 0.87/1.44 c_Orderings_Oord__class_Oless__eq( X, T, Z ) }.
% 0.87/1.44 { ! class_Orderings_Oord( X ), ! c_Orderings_Oord__class_Oless__eq( X, Z, Y
% 0.87/1.44 ), ! Y = T, c_Orderings_Oord__class_Oless__eq( X, Z, T ) }.
% 0.87/1.44 { ! class_Orderings_Oorder( X ), ! c_Orderings_Oord__class_Oless__eq( X, Z
% 0.87/1.44 , Y ), ! Z = T, c_Orderings_Oord__class_Oless__eq( X, T, Y ) }.
% 0.87/1.44 { ! class_Orderings_Oorder( X ), ! c_Orderings_Oord__class_Oless__eq( X, Z
% 0.87/1.44 , Y ), ! c_Orderings_Oord__class_Oless__eq( X, Y, Z ), Z = Y }.
% 0.87/1.44 { ! class_Orderings_Opreorder( X ), ! c_Orderings_Oord__class_Oless__eq( X
% 0.87/1.44 , Z, Y ), ! c_Orderings_Oord__class_Oless__eq( X, Y, T ),
% 0.87/1.44 c_Orderings_Oord__class_Oless__eq( X, Z, T ) }.
% 0.87/1.44 { ! class_Orderings_Oorder( X ), ! c_Orderings_Oord__class_Oless__eq( X, Z
% 0.87/1.44 , Y ), ! c_Orderings_Oord__class_Oless__eq( X, Y, Z ), Y = Z }.
% 0.87/1.44 { ! class_Orderings_Oorder( X ), ! c_Orderings_Oord__class_Oless__eq( X, Z
% 0.87/1.44 , Y ), ! c_Orderings_Oord__class_Oless__eq( X, T, Z ),
% 0.87/1.44 c_Orderings_Oord__class_Oless__eq( X, T, Y ) }.
% 0.87/1.44 { ! class_Orderings_Oord( X ), ! c_Orderings_Oord__class_Oless__eq( tc_fun
% 0.87/1.44 ( T, X ), Z, Y ), c_Orderings_Oord__class_Oless__eq( X, hAPP( Z, U ),
% 0.87/1.44 hAPP( Y, U ) ) }.
% 0.87/1.44 { ! class_Orderings_Olinorder( X ), c_Orderings_Oord__class_Oless__eq( X, Z
% 0.87/1.44 , Y ), c_Orderings_Oord__class_Oless__eq( X, Y, Z ) }.
% 0.87/1.44 { ! c_Orderings_Oord__class_Oless__eq( tc_fun( Z, tc_HOL_Obool ), Y, X ), !
% 0.87/1.44 c_member( Z, T, Y ), c_member( Z, T, X ) }.
% 0.87/1.44 { ! c_member( Z, Y, X ), ! c_Orderings_Oord__class_Oless__eq( tc_fun( Z,
% 0.87/1.44 tc_HOL_Obool ), X, T ), c_member( Z, Y, T ) }.
% 0.87/1.44 { ! c_Orderings_Oord__class_Oless__eq( tc_fun( Z, tc_HOL_Obool ), Y, X ), !
% 0.87/1.44 c_member( Z, T, Y ), c_member( Z, T, X ) }.
% 0.87/1.44 { ! c_Orderings_Oord__class_Oless__eq( tc_fun( tc_prod( Z, Z ),
% 0.87/1.44 tc_HOL_Obool ), Y, X ), c_Orderings_Oord__class_Oless__eq( tc_fun( Z,
% 0.87/1.44 tc_HOL_Obool ), c_Relation_OField( Z, Y ), c_Relation_OField( Z, X ) ) }
% 0.87/1.44 .
% 0.87/1.44 { ! c_Orderings_Oord__class_Oless__eq( tc_fun( tc_prod( T, Z ),
% 0.87/1.44 tc_HOL_Obool ), Y, X ), ! c_Relation_Osingle__valued( T, Z, X ),
% 0.87/1.44 c_Relation_Osingle__valued( T, Z, Y ) }.
% 0.87/1.44 { ! class_Lattices_Osemilattice__sup( X ), !
% 0.87/1.44 c_Orderings_Oord__class_Oless__eq( X,
% 0.87/1.44 c_Lattices_Osemilattice__sup__class_Osup( X, T, Z ), Y ),
% 0.87/1.44 c_Orderings_Oord__class_Oless__eq( X, T, Y ) }.
% 0.87/1.44 { ! class_Lattices_Osemilattice__sup( X ), !
% 0.87/1.44 c_Orderings_Oord__class_Oless__eq( X,
% 0.87/1.44 c_Lattices_Osemilattice__sup__class_Osup( X, T, Z ), Y ),
% 0.87/1.44 c_Orderings_Oord__class_Oless__eq( X, Z, Y ) }.
% 0.87/1.44 { ! class_Lattices_Osemilattice__sup( X ), !
% 0.87/1.44 c_Orderings_Oord__class_Oless__eq( X, Z, Y ), !
% 0.87/1.44 c_Orderings_Oord__class_Oless__eq( X, U, T ),
% 0.87/1.44 c_Orderings_Oord__class_Oless__eq( X,
% 0.87/1.44 c_Lattices_Osemilattice__sup__class_Osup( X, Z, U ),
% 0.87/1.44 c_Lattices_Osemilattice__sup__class_Osup( X, Y, T ) ) }.
% 0.87/1.44 { ! class_Lattices_Osemilattice__sup( X ), !
% 0.87/1.44 c_Orderings_Oord__class_Oless__eq( X, Z, Y ), !
% 0.87/1.44 c_Orderings_Oord__class_Oless__eq( X, T, Y ),
% 0.87/1.44 c_Orderings_Oord__class_Oless__eq( X,
% 0.87/1.44 c_Lattices_Osemilattice__sup__class_Osup( X, Z, T ), Y ) }.
% 0.87/1.44 { ! class_Lattices_Osemilattice__sup( X ), !
% 0.87/1.44 c_Orderings_Oord__class_Oless__eq( X, Z, Y ), !
% 0.87/1.44 c_Orderings_Oord__class_Oless__eq( X, T, Y ),
% 0.87/1.44 c_Orderings_Oord__class_Oless__eq( X,
% 0.87/1.44 c_Lattices_Osemilattice__sup__class_Osup( X, Z, T ), Y ) }.
% 0.87/1.44 { ! class_Lattices_Osemilattice__sup( X ), !
% 0.87/1.44 c_Orderings_Oord__class_Oless__eq( X, Z, Y ),
% 0.87/1.44 c_Lattices_Osemilattice__sup__class_Osup( X, Y, Z ) = Y }.
% 0.87/1.44 { ! class_Lattices_Osemilattice__sup( X ), !
% 0.87/1.44 c_Orderings_Oord__class_Oless__eq( X, Z, Y ),
% 0.87/1.44 c_Lattices_Osemilattice__sup__class_Osup( X, Z, Y ) = Y }.
% 0.87/1.44 { ! class_Lattices_Osemilattice__sup( X ), !
% 0.87/1.44 c_Orderings_Oord__class_Oless__eq( X, Z, Y ),
% 0.87/1.44 c_Orderings_Oord__class_Oless__eq( X, Z,
% 0.87/1.44 c_Lattices_Osemilattice__sup__class_Osup( X, T, Y ) ) }.
% 0.87/1.44 { ! class_Lattices_Osemilattice__sup( X ), !
% 0.87/1.44 c_Orderings_Oord__class_Oless__eq( X, Z, Y ),
% 0.87/1.44 c_Orderings_Oord__class_Oless__eq( X, Z,
% 0.87/1.44 c_Lattices_Osemilattice__sup__class_Osup( X, Y, T ) ) }.
% 0.87/1.44 { ! class_Lattices_Osemilattice__sup( X ), !
% 0.87/1.44 c_Orderings_Oord__class_Oless__eq( X,
% 0.87/1.44 c_Lattices_Osemilattice__sup__class_Osup( X, T, Z ), Y ),
% 0.87/1.44 c_Orderings_Oord__class_Oless__eq( X, T, Y ) }.
% 0.87/1.44 { ! class_Lattices_Osemilattice__sup( X ), !
% 0.87/1.44 c_Orderings_Oord__class_Oless__eq( X,
% 0.87/1.44 c_Lattices_Osemilattice__sup__class_Osup( X, T, Z ), Y ),
% 0.87/1.44 c_Orderings_Oord__class_Oless__eq( X, Z, Y ) }.
% 0.87/1.44 { ! class_Lattices_Osemilattice__sup( X ), !
% 0.87/1.44 c_Orderings_Oord__class_Oless__eq( X, T, Y ), !
% 0.87/1.44 c_Orderings_Oord__class_Oless__eq( X, Z, Y ),
% 0.87/1.44 c_Orderings_Oord__class_Oless__eq( X,
% 0.87/1.44 c_Lattices_Osemilattice__sup__class_Osup( X, T, Z ), Y ) }.
% 0.87/1.44 { ! class_Lattices_Osemilattice__sup( X ), !
% 0.87/1.44 c_Orderings_Oord__class_Oless__eq( X, Z, Y ),
% 0.87/1.44 c_Lattices_Osemilattice__sup__class_Osup( X, Z, Y ) = Y }.
% 0.87/1.44 { ! class_Lattices_Osemilattice__sup( X ), !
% 0.87/1.44 c_Lattices_Osemilattice__sup__class_Osup( X, Z, Y ) = Y,
% 0.87/1.44 c_Orderings_Oord__class_Oless__eq( X, Z, Y ) }.
% 0.87/1.44 { ! class_Lattices_Osemilattice__sup( X ),
% 0.87/1.44 c_Orderings_Oord__class_Oless__eq( X, Z,
% 0.87/1.44 c_Lattices_Osemilattice__sup__class_Osup( X, Y, Z ) ) }.
% 0.87/1.44 { ! class_Lattices_Olattice( X ), c_Orderings_Oord__class_Oless__eq( X, Z,
% 0.87/1.44 c_Lattices_Osemilattice__sup__class_Osup( X, Y, Z ) ) }.
% 0.87/1.44 { ! class_Lattices_Osemilattice__sup( X ),
% 0.87/1.44 c_Orderings_Oord__class_Oless__eq( X, Z,
% 0.87/1.44 c_Lattices_Osemilattice__sup__class_Osup( X, Z, Y ) ) }.
% 0.87/1.44 { ! class_Lattices_Olattice( X ), c_Orderings_Oord__class_Oless__eq( X, Z,
% 0.87/1.44 c_Lattices_Osemilattice__sup__class_Osup( X, Z, Y ) ) }.
% 0.87/1.44 { ! c_Orderings_Oord__class_Oless__eq( tc_fun( Z, tc_HOL_Obool ), Y, X ),
% 0.87/1.44 c_Orderings_Oord__class_Oless__eq( tc_fun( Z, tc_HOL_Obool ),
% 0.87/1.44 c_Set_Oinsert( Z, T, Y ), c_Set_Oinsert( Z, T, X ) ) }.
% 0.87/1.44 { ! c_Orderings_Oord__class_Oless__eq( tc_fun( Z, tc_HOL_Obool ), Y, X ),
% 0.87/1.44 c_Orderings_Oord__class_Oless__eq( tc_fun( Z, tc_HOL_Obool ), Y,
% 0.87/1.44 c_Set_Oinsert( Z, T, X ) ) }.
% 0.87/1.44 { c_Orderings_Oord__class_Oless__eq( tc_fun( Z, tc_HOL_Obool ), Y,
% 0.87/1.44 c_Set_Oinsert( Z, X, Y ) ) }.
% 0.87/1.44 { ! c_Orderings_Oord__class_Oless__eq( tc_fun( Z, tc_HOL_Obool ), Y, X ), !
% 0.87/1.44 c_Orderings_Oord__class_Oless__eq( tc_fun( Z, tc_HOL_Obool ), U, T ),
% 0.87/1.44 c_Orderings_Oord__class_Oless__eq( tc_fun( Z, tc_HOL_Obool ),
% 0.87/1.44 c_Lattices_Osemilattice__sup__class_Osup( tc_fun( Z, tc_HOL_Obool ), Y, U
% 0.87/1.44 ), c_Lattices_Osemilattice__sup__class_Osup( tc_fun( Z, tc_HOL_Obool ),
% 0.87/1.44 X, T ) ) }.
% 0.87/1.44 { ! c_Orderings_Oord__class_Oless__eq( tc_fun( Z, tc_HOL_Obool ), Y, X ), !
% 0.87/1.44 c_Orderings_Oord__class_Oless__eq( tc_fun( Z, tc_HOL_Obool ), T, X ),
% 0.87/1.44 c_Orderings_Oord__class_Oless__eq( tc_fun( Z, tc_HOL_Obool ),
% 0.87/1.44 c_Lattices_Osemilattice__sup__class_Osup( tc_fun( Z, tc_HOL_Obool ), Y, T
% 0.87/1.44 ), X ) }.
% 0.87/1.44 { ! c_Orderings_Oord__class_Oless__eq( tc_fun( Z, tc_HOL_Obool ), Y, X ),
% 0.87/1.44 c_Lattices_Osemilattice__sup__class_Osup( tc_fun( Z, tc_HOL_Obool ), X, Y
% 0.87/1.44 ) = X }.
% 0.87/1.44 { ! c_Orderings_Oord__class_Oless__eq( tc_fun( Z, tc_HOL_Obool ), Y, X ),
% 0.87/1.44 c_Lattices_Osemilattice__sup__class_Osup( tc_fun( Z, tc_HOL_Obool ), Y, X
% 0.87/1.44 ) = X }.
% 0.87/1.44 { ! c_Orderings_Oord__class_Oless__eq( tc_fun( Z, tc_HOL_Obool ), Y, X ),
% 0.87/1.44 c_Lattices_Osemilattice__sup__class_Osup( tc_fun( Z, tc_HOL_Obool ), Y, X
% 0.87/1.44 ) = X }.
% 0.87/1.44 { ! c_Lattices_Osemilattice__sup__class_Osup( tc_fun( Z, tc_HOL_Obool ), Y
% 0.87/1.44 , X ) = X, c_Orderings_Oord__class_Oless__eq( tc_fun( Z, tc_HOL_Obool ),
% 0.87/1.44 Y, X ) }.
% 0.87/1.44 { c_Orderings_Oord__class_Oless__eq( tc_fun( Z, tc_HOL_Obool ), Y,
% 0.87/1.44 c_Lattices_Osemilattice__sup__class_Osup( tc_fun( Z, tc_HOL_Obool ), X, Y
% 0.87/1.44 ) ) }.
% 0.87/1.44 { c_Orderings_Oord__class_Oless__eq( tc_fun( Z, tc_HOL_Obool ), Y,
% 0.87/1.44 c_Lattices_Osemilattice__sup__class_Osup( tc_fun( Z, tc_HOL_Obool ), Y, X
% 0.87/1.44 ) ) }.
% 0.87/1.44 { ! c_Orderings_Oord__class_Oless__eq( tc_fun( Z, tc_HOL_Obool ), Y, X ), !
% 0.87/1.44 c_Orderings_Oord__class_Oless__eq( tc_fun( Z, tc_HOL_Obool ), X, T ),
% 0.87/1.44 c_Groups_Ominus__class_Ominus( tc_fun( Z, tc_HOL_Obool ), X,
% 0.87/1.44 c_Groups_Ominus__class_Ominus( tc_fun( Z, tc_HOL_Obool ), T, Y ) ) = Y }
% 0.87/1.44 .
% 0.87/1.44 { ! c_Orderings_Oord__class_Oless__eq( tc_fun( Z, tc_HOL_Obool ), Y, X ), !
% 0.87/1.44 c_Orderings_Oord__class_Oless__eq( tc_fun( Z, tc_HOL_Obool ), U, T ),
% 0.87/1.44 c_Orderings_Oord__class_Oless__eq( tc_fun( Z, tc_HOL_Obool ),
% 0.87/1.44 c_Groups_Ominus__class_Ominus( tc_fun( Z, tc_HOL_Obool ), Y, T ),
% 0.87/1.44 c_Groups_Ominus__class_Ominus( tc_fun( Z, tc_HOL_Obool ), X, U ) ) }.
% 0.87/1.44 { c_Orderings_Oord__class_Oless__eq( tc_fun( Z, tc_HOL_Obool ),
% 0.87/1.44 c_Groups_Ominus__class_Ominus( tc_fun( Z, tc_HOL_Obool ), Y, X ), Y ) }.
% 0.87/1.44 { ! c_Orderings_Oord__class_Oless__eq( tc_fun( tc_prod( Z, Z ),
% 0.87/1.44 tc_HOL_Obool ), Y, X ), c_Orderings_Oord__class_Oless__eq( tc_fun( Z,
% 0.87/1.44 tc_HOL_Obool ), c_Wellfounded_Oacc( Z, X ), c_Wellfounded_Oacc( Z, Y ) )
% 0.87/1.44 }.
% 0.87/1.44 { ! hBOOL( hAPP( Y, X ) ), ! c_Orderings_Oord__class_Oless__eq( tc_fun( T,
% 0.87/1.44 tc_HOL_Obool ), Y, Z ), hBOOL( hAPP( Z, X ) ) }.
% 0.87/1.44 { ! c_Orderings_Oord__class_Oless__eq( tc_fun( Z, tc_HOL_Obool ), Y, X ), !
% 0.87/1.44 hBOOL( hAPP( Y, T ) ), hBOOL( hAPP( X, T ) ) }.
% 0.87/1.44 { c_Orderings_Oord__class_Oless__eq( tc_fun( Y, tc_HOL_Obool ), X, X ) }.
% 0.87/1.44 { ! Z = Y, c_Orderings_Oord__class_Oless__eq( tc_fun( X, tc_HOL_Obool ), Z
% 0.87/1.44 , Y ) }.
% 0.87/1.44 { ! Z = Y, c_Orderings_Oord__class_Oless__eq( tc_fun( X, tc_HOL_Obool ), Y
% 0.87/1.44 , Z ) }.
% 0.87/1.44 { ! c_Orderings_Oord__class_Oless__eq( tc_fun( X, tc_HOL_Obool ), Z, Y ), !
% 0.87/1.44 c_Orderings_Oord__class_Oless__eq( tc_fun( X, tc_HOL_Obool ), Y, Z ), Z
% 0.87/1.44 = Y }.
% 0.87/1.44 { ! Y = X, c_Orderings_Oord__class_Oless__eq( tc_fun( Z, tc_HOL_Obool ), Y
% 0.87/1.44 , X ) }.
% 0.87/1.44 { ! Y = X, c_Orderings_Oord__class_Oless__eq( tc_fun( Z, tc_HOL_Obool ), X
% 0.87/1.44 , Y ) }.
% 0.87/1.44 { ! c_Orderings_Oord__class_Oless__eq( tc_fun( Z, tc_HOL_Obool ), Y, X ), !
% 0.87/1.44 c_Orderings_Oord__class_Oless__eq( tc_fun( Z, tc_HOL_Obool ), X, T ),
% 0.87/1.44 c_Orderings_Oord__class_Oless__eq( tc_fun( Z, tc_HOL_Obool ), Y, T ) }.
% 0.87/1.44 { ! Y = X, c_Orderings_Oord__class_Oless__eq( tc_fun( Z, tc_HOL_Obool ), Y
% 0.87/1.44 , X ) }.
% 0.87/1.44 { ! Y = X, c_Orderings_Oord__class_Oless__eq( tc_fun( Z, tc_HOL_Obool ), X
% 0.87/1.44 , Y ) }.
% 0.87/1.44 { ! c_Orderings_Oord__class_Oless__eq( tc_fun( tc_prod( T, Z ),
% 0.87/1.44 tc_HOL_Obool ), Y, X ), c_Orderings_Oord__class_Oless__eq( tc_fun( T,
% 0.87/1.44 tc_HOL_Obool ), c_Relation_ODomain( T, Z, Y ), c_Relation_ODomain( T, Z,
% 0.87/1.44 X ) ) }.
% 0.87/1.44 { ! c_Wellfounded_Oacyclic( Y, X ), ! c_Orderings_Oord__class_Oless__eq(
% 0.87/1.44 tc_fun( tc_prod( Y, Y ), tc_HOL_Obool ), Z, X ), c_Wellfounded_Oacyclic(
% 0.87/1.44 Y, Z ) }.
% 0.87/1.44 { ! c_Orderings_Oord__class_Oless__eq( tc_fun( tc_prod( Z, Z ),
% 0.87/1.44 tc_HOL_Obool ), Y, X ), ! c_Relation_Oantisym( Z, X ),
% 0.87/1.44 c_Relation_Oantisym( Z, Y ) }.
% 0.87/1.44 { ! c_Orderings_Oord__class_Oless__eq( tc_fun( tc_prod( Z, Z ),
% 0.87/1.44 tc_HOL_Obool ), Y, X ), c_Orderings_Oord__class_Oless__eq( tc_fun(
% 0.87/1.44 tc_prod( Z, Z ), tc_HOL_Obool ), c_Transitive__Closure_Ortrancl( Z, Y ),
% 0.87/1.44 c_Transitive__Closure_Ortrancl( Z, X ) ) }.
% 0.87/1.44 { ! c_Orderings_Oord__class_Oless__eq( tc_fun( tc_prod( Z, Z ),
% 0.87/1.44 tc_HOL_Obool ), Y, X ), ! c_Orderings_Oord__class_Oless__eq( tc_fun(
% 0.87/1.44 tc_prod( Z, Z ), tc_HOL_Obool ), X, c_Transitive__Closure_Ortrancl( Z, Y
% 0.87/1.44 ) ), c_Transitive__Closure_Ortrancl( Z, X ) =
% 0.87/1.44 c_Transitive__Closure_Ortrancl( Z, Y ) }.
% 0.87/1.44 { ! c_Orderings_Oord__class_Oless__eq( tc_fun( tc_prod( Z, Z ),
% 0.87/1.44 tc_HOL_Obool ), Y, c_Transitive__Closure_Ortrancl( Z, X ) ),
% 0.87/1.44 c_Orderings_Oord__class_Oless__eq( tc_fun( tc_prod( Z, Z ), tc_HOL_Obool
% 0.87/1.44 ), c_Transitive__Closure_Ortrancl( Z, Y ),
% 0.87/1.44 c_Transitive__Closure_Ortrancl( Z, X ) ) }.
% 0.87/1.44 { ! class_Groups_Oordered__ab__group__add( X ), !
% 0.87/1.44 c_Groups_Ominus__class_Ominus( X, U, T ) = c_Groups_Ominus__class_Ominus
% 0.87/1.44 ( X, Z, Y ), ! c_Orderings_Oord__class_Oless__eq( X, U, T ),
% 0.87/1.44 c_Orderings_Oord__class_Oless__eq( X, Z, Y ) }.
% 0.87/1.44 { ! class_Groups_Oordered__ab__group__add( X ), !
% 0.87/1.44 c_Groups_Ominus__class_Ominus( X, U, T ) = c_Groups_Ominus__class_Ominus
% 0.87/1.44 ( X, Z, Y ), ! c_Orderings_Oord__class_Oless__eq( X, Z, Y ),
% 0.87/1.44 c_Orderings_Oord__class_Oless__eq( X, U, T ) }.
% 0.87/1.44 { ! c_Orderings_Oord__class_Oless__eq( tc_fun( T, tc_HOL_Obool ),
% 0.87/1.44 c_Set_Oinsert( T, Z, Y ), X ), c_member( T, Z, X ) }.
% 0.87/1.44 { ! c_Orderings_Oord__class_Oless__eq( tc_fun( T, tc_HOL_Obool ),
% 0.87/1.44 c_Set_Oinsert( T, Z, Y ), X ), c_Orderings_Oord__class_Oless__eq( tc_fun
% 0.87/1.44 ( T, tc_HOL_Obool ), Y, X ) }.
% 0.87/1.44 { ! c_member( T, Z, X ), ! c_Orderings_Oord__class_Oless__eq( tc_fun( T,
% 0.87/1.44 tc_HOL_Obool ), Y, X ), c_Orderings_Oord__class_Oless__eq( tc_fun( T,
% 0.87/1.44 tc_HOL_Obool ), c_Set_Oinsert( T, Z, Y ), X ) }.
% 0.87/1.44 { c_member( Z, Y, X ), ! c_Orderings_Oord__class_Oless__eq( tc_fun( Z,
% 0.87/1.44 tc_HOL_Obool ), X, c_Set_Oinsert( Z, Y, T ) ),
% 0.87/1.44 c_Orderings_Oord__class_Oless__eq( tc_fun( Z, tc_HOL_Obool ), X, T ) }.
% 0.87/1.44 { c_member( Z, Y, X ), ! c_Orderings_Oord__class_Oless__eq( tc_fun( Z,
% 0.87/1.44 tc_HOL_Obool ), X, T ), c_Orderings_Oord__class_Oless__eq( tc_fun( Z,
% 0.87/1.44 tc_HOL_Obool ), X, c_Set_Oinsert( Z, Y, T ) ) }.
% 0.87/1.44 { ! c_Orderings_Oord__class_Oless__eq( tc_fun( Z, tc_HOL_Obool ), Y,
% 0.87/1.44 c_Set_Oinsert( Z, X, c_Orderings_Obot__class_Obot( tc_fun( Z,
% 0.87/1.44 tc_HOL_Obool ) ) ) ), Y = c_Orderings_Obot__class_Obot( tc_fun( Z,
% 0.87/1.44 tc_HOL_Obool ) ), Y = c_Set_Oinsert( Z, X, c_Orderings_Obot__class_Obot(
% 0.87/1.44 tc_fun( Z, tc_HOL_Obool ) ) ) }.
% 0.87/1.44 { ! c_Orderings_Oord__class_Oless__eq( tc_fun( T, tc_HOL_Obool ),
% 0.87/1.44 c_Groups_Ominus__class_Ominus( tc_fun( T, tc_HOL_Obool ), Z, Y ), X ),
% 0.87/1.44 c_Orderings_Oord__class_Oless__eq( tc_fun( T, tc_HOL_Obool ), Z,
% 0.87/1.44 c_Lattices_Osemilattice__sup__class_Osup( tc_fun( T, tc_HOL_Obool ), Y, X
% 0.87/1.44 ) ) }.
% 0.87/1.44 { ! c_Orderings_Oord__class_Oless__eq( tc_fun( T, tc_HOL_Obool ), Z,
% 0.87/1.44 c_Lattices_Osemilattice__sup__class_Osup( tc_fun( T, tc_HOL_Obool ), Y, X
% 0.87/1.44 ) ), c_Orderings_Oord__class_Oless__eq( tc_fun( T, tc_HOL_Obool ),
% 0.87/1.44 c_Groups_Ominus__class_Ominus( tc_fun( T, tc_HOL_Obool ), Z, Y ), X ) }.
% 0.87/1.44 { ! c_Orderings_Oord__class_Oless__eq( tc_fun( Z, tc_HOL_Obool ), Y, X ),
% 0.87/1.44 c_Lattices_Osemilattice__sup__class_Osup( tc_fun( Z, tc_HOL_Obool ), Y,
% 0.87/1.44 c_Groups_Ominus__class_Ominus( tc_fun( Z, tc_HOL_Obool ), X, Y ) ) = X }
% 0.87/1.44 .
% 0.87/1.44 { ! c_member( tc_prod( Z, Z ), Y, c_Transitive__Closure_Otrancl( Z, X ) ),
% 0.87/1.44 ! c_Orderings_Oord__class_Oless__eq( tc_fun( tc_prod( Z, Z ),
% 0.87/1.44 tc_HOL_Obool ), X, T ), c_member( tc_prod( Z, Z ), Y,
% 0.87/1.44 c_Transitive__Closure_Otrancl( Z, T ) ) }.
% 0.87/1.44 { ! c_Orderings_Oord__class_Oless__eq( tc_fun( Z, tc_HOL_Obool ),
% 0.87/1.44 c_Relation_OImage( Z, Z, Y, X ), X ), c_Relation_OImage( Z, Z,
% 0.87/1.44 c_Transitive__Closure_Ortrancl( Z, Y ), X ) = X }.
% 0.87/1.44 { c_Orderings_Oord__class_Oless__eq( tc_fun( tc_prod( Z, Z ), tc_HOL_Obool
% 0.87/1.44 ), c_Lattices_Osemilattice__sup__class_Osup( tc_fun( tc_prod( Z, Z ),
% 0.87/1.44 tc_HOL_Obool ), c_Transitive__Closure_Ortrancl( Z, Y ),
% 0.87/1.44 c_Transitive__Closure_Ortrancl( Z, X ) ), c_Transitive__Closure_Ortrancl
% 0.87/1.44 ( Z, c_Lattices_Osemilattice__sup__class_Osup( tc_fun( tc_prod( Z, Z ),
% 0.87/1.44 tc_HOL_Obool ), Y, X ) ) ) }.
% 0.87/1.44 { ! c_Wellfounded_Owf( Y, X ), ! c_Orderings_Oord__class_Oless__eq( tc_fun
% 0.87/1.44 ( Y, tc_HOL_Obool ), Z, c_Relation_OImage( Y, Y, X, Z ) ), Z =
% 0.87/1.44 c_Orderings_Obot__class_Obot( tc_fun( Y, tc_HOL_Obool ) ) }.
% 0.87/1.44 { c_Orderings_Oord__class_Oless__eq( tc_fun( T, tc_HOL_Obool ),
% 0.87/1.44 c_Groups_Ominus__class_Ominus( tc_fun( T, tc_HOL_Obool ),
% 0.87/1.44 c_Relation_ODomain( T, Z, Y ), c_Relation_ODomain( T, Z, X ) ),
% 0.87/1.44 c_Relation_ODomain( T, Z, c_Groups_Ominus__class_Ominus( tc_fun( tc_prod
% 0.87/1.44 ( T, Z ), tc_HOL_Obool ), Y, X ) ) ) }.
% 0.87/1.44 { c_Orderings_Oord__class_Oless__eq( tc_fun( T, tc_HOL_Obool ),
% 0.87/1.44 c_Groups_Ominus__class_Ominus( tc_fun( T, tc_HOL_Obool ),
% 0.87/1.44 c_Relation_ORange( Z, T, Y ), c_Relation_ORange( Z, T, X ) ),
% 0.87/1.44 c_Relation_ORange( Z, T, c_Groups_Ominus__class_Ominus( tc_fun( tc_prod(
% 0.87/1.44 Z, T ), tc_HOL_Obool ), Y, X ) ) ) }.
% 0.87/1.44 { c_Wellfounded_Oless__than = c_Transitive__Closure_Otrancl( tc_Nat_Onat,
% 0.87/1.44 c_Wellfounded_Opred__nat ) }.
% 0.87/1.44 { ! c_Orderings_Oord__class_Oless__eq( tc_fun( T, tc_HOL_Obool ), Z,
% 0.87/1.44 c_Set_Oinsert( T, Y, X ) ), alpha19( X, Y, Z, T ) }.
% 0.87/1.44 { ! c_Orderings_Oord__class_Oless__eq( tc_fun( T, tc_HOL_Obool ), Z,
% 0.87/1.44 c_Set_Oinsert( T, Y, X ) ), alpha32( X, Y, Z, T ) }.
% 0.87/1.44 { ! alpha19( X, Y, Z, T ), ! alpha32( X, Y, Z, T ),
% 0.87/1.44 c_Orderings_Oord__class_Oless__eq( tc_fun( T, tc_HOL_Obool ), Z,
% 0.87/1.44 c_Set_Oinsert( T, Y, X ) ) }.
% 0.87/1.44 { ! alpha32( X, Y, Z, T ), c_member( T, Y, Z ),
% 0.87/1.44 c_Orderings_Oord__class_Oless__eq( tc_fun( T, tc_HOL_Obool ), Z, X ) }.
% 0.87/1.44 { ! c_member( T, Y, Z ), alpha32( X, Y, Z, T ) }.
% 0.87/1.44 { ! c_Orderings_Oord__class_Oless__eq( tc_fun( T, tc_HOL_Obool ), Z, X ),
% 0.87/1.44 alpha32( X, Y, Z, T ) }.
% 0.87/1.44 { ! alpha19( X, Y, Z, T ), ! c_member( T, Y, Z ),
% 0.87/1.44 c_Orderings_Oord__class_Oless__eq( tc_fun( T, tc_HOL_Obool ),
% 0.87/1.44 c_Groups_Ominus__class_Ominus( tc_fun( T, tc_HOL_Obool ), Z,
% 0.87/1.44 c_Set_Oinsert( T, Y, c_Orderings_Obot__class_Obot( tc_fun( T,
% 0.87/1.44 tc_HOL_Obool ) ) ) ), X ) }.
% 0.87/1.44 { c_member( T, Y, Z ), alpha19( X, Y, Z, T ) }.
% 0.87/1.44 { ! c_Orderings_Oord__class_Oless__eq( tc_fun( T, tc_HOL_Obool ),
% 0.87/1.44 c_Groups_Ominus__class_Ominus( tc_fun( T, tc_HOL_Obool ), Z,
% 0.87/1.44 c_Set_Oinsert( T, Y, c_Orderings_Obot__class_Obot( tc_fun( T,
% 0.87/1.44 tc_HOL_Obool ) ) ) ), X ), alpha19( X, Y, Z, T ) }.
% 0.87/1.44 { ! c_Orderings_Oord__class_Oless__eq( tc_fun( T, tc_HOL_Obool ),
% 0.87/1.44 c_Groups_Ominus__class_Ominus( tc_fun( T, tc_HOL_Obool ), Z,
% 0.87/1.44 c_Set_Oinsert( T, Y, c_Orderings_Obot__class_Obot( tc_fun( T,
% 0.87/1.44 tc_HOL_Obool ) ) ) ), X ), ! c_member( T, Y, Z ),
% 0.87/1.44 c_Orderings_Oord__class_Oless__eq( tc_fun( T, tc_HOL_Obool ), Z,
% 0.87/1.44 c_Set_Oinsert( T, Y, X ) ) }.
% 0.87/1.44 { c_Wellfounded_Owf( tc_Nat_Onat, c_Wellfounded_Opred__nat ) }.
% 0.87/1.44 { ! c_Orderings_Oord__class_Oless( tc_fun( T, tc_HOL_Obool ), Z,
% 0.87/1.44 c_Set_Oinsert( T, Y, X ) ), alpha20( X, Y, Z, T ) }.
% 0.87/1.44 { ! c_Orderings_Oord__class_Oless( tc_fun( T, tc_HOL_Obool ), Z,
% 0.87/1.44 c_Set_Oinsert( T, Y, X ) ), alpha33( X, Y, Z, T ) }.
% 0.87/1.44 { ! alpha20( X, Y, Z, T ), ! alpha33( X, Y, Z, T ),
% 0.87/1.44 c_Orderings_Oord__class_Oless( tc_fun( T, tc_HOL_Obool ), Z,
% 0.87/1.44 c_Set_Oinsert( T, Y, X ) ) }.
% 0.87/1.44 { ! alpha33( X, Y, Z, T ), c_member( T, Y, X ), alpha42( X, Y, Z, T ) }.
% 0.87/1.44 { ! c_member( T, Y, X ), alpha33( X, Y, Z, T ) }.
% 0.87/1.44 { ! alpha42( X, Y, Z, T ), alpha33( X, Y, Z, T ) }.
% 0.87/1.44 { ! alpha42( X, Y, Z, T ), alpha45( X, Y, Z, T ) }.
% 0.87/1.44 { ! alpha42( X, Y, Z, T ), alpha48( X, Y, Z, T ) }.
% 0.87/1.44 { ! alpha45( X, Y, Z, T ), ! alpha48( X, Y, Z, T ), alpha42( X, Y, Z, T ) }
% 0.87/1.44 .
% 0.87/1.44 { ! alpha48( X, Y, Z, T ), c_member( T, Y, Z ),
% 0.87/1.44 c_Orderings_Oord__class_Oless__eq( tc_fun( T, tc_HOL_Obool ), Z, X ) }.
% 0.87/1.44 { ! c_member( T, Y, Z ), alpha48( X, Y, Z, T ) }.
% 0.87/1.44 { ! c_Orderings_Oord__class_Oless__eq( tc_fun( T, tc_HOL_Obool ), Z, X ),
% 0.87/1.44 alpha48( X, Y, Z, T ) }.
% 0.87/1.44 { ! alpha45( X, Y, Z, T ), ! c_member( T, Y, Z ),
% 0.87/1.44 c_Orderings_Oord__class_Oless( tc_fun( T, tc_HOL_Obool ),
% 0.87/1.44 c_Groups_Ominus__class_Ominus( tc_fun( T, tc_HOL_Obool ), Z,
% 0.87/1.44 c_Set_Oinsert( T, Y, c_Orderings_Obot__class_Obot( tc_fun( T,
% 0.87/1.44 tc_HOL_Obool ) ) ) ), X ) }.
% 0.87/1.44 { c_member( T, Y, Z ), alpha45( X, Y, Z, T ) }.
% 0.87/1.44 { ! c_Orderings_Oord__class_Oless( tc_fun( T, tc_HOL_Obool ),
% 0.87/1.44 c_Groups_Ominus__class_Ominus( tc_fun( T, tc_HOL_Obool ), Z,
% 0.87/1.44 c_Set_Oinsert( T, Y, c_Orderings_Obot__class_Obot( tc_fun( T,
% 0.87/1.44 tc_HOL_Obool ) ) ) ), X ), alpha45( X, Y, Z, T ) }.
% 0.87/1.44 { ! alpha20( X, Y, Z, T ), ! c_member( T, Y, X ),
% 0.87/1.44 c_Orderings_Oord__class_Oless( tc_fun( T, tc_HOL_Obool ), Z, X ) }.
% 0.87/1.44 { c_member( T, Y, X ), alpha20( X, Y, Z, T ) }.
% 0.87/1.44 { ! c_Orderings_Oord__class_Oless( tc_fun( T, tc_HOL_Obool ), Z, X ),
% 0.87/1.44 alpha20( X, Y, Z, T ) }.
% 0.87/1.44 { ! c_Order__Relation_Opreorder__on( Y, c_Relation_OField( Y, X ), X ), !
% 0.87/1.44 c_Orderings_Oord__class_Oless__eq( tc_fun( Y, tc_HOL_Obool ), Z,
% 0.87/1.44 c_Relation_OField( Y, X ) ), ! c_Orderings_Oord__class_Oless__eq( tc_fun
% 0.87/1.44 ( Y, tc_HOL_Obool ), T, c_Relation_OField( Y, X ) ), !
% 0.87/1.44 c_Orderings_Oord__class_Oless__eq( tc_fun( Y, tc_HOL_Obool ),
% 0.87/1.44 c_Relation_OImage( Y, Y, X, Z ), c_Relation_OImage( Y, Y, X, T ) ), !
% 0.87/1.44 c_member( Y, U, Z ), alpha21( X, Y, T, U ) }.
% 0.87/1.44 { ! c_Order__Relation_Opreorder__on( Y, c_Relation_OField( Y, X ), X ), !
% 0.87/1.44 c_Orderings_Oord__class_Oless__eq( tc_fun( Y, tc_HOL_Obool ), Z,
% 0.87/1.44 c_Relation_OField( Y, X ) ), ! c_Orderings_Oord__class_Oless__eq( tc_fun
% 0.87/1.44 ( Y, tc_HOL_Obool ), T, c_Relation_OField( Y, X ) ), c_member( Y, skol68
% 0.87/1.44 ( U, Y, Z, W ), Z ), c_Orderings_Oord__class_Oless__eq( tc_fun( Y,
% 0.87/1.44 tc_HOL_Obool ), c_Relation_OImage( Y, Y, X, Z ), c_Relation_OImage( Y, Y
% 0.87/1.44 , X, T ) ) }.
% 0.87/1.44 { ! c_Order__Relation_Opreorder__on( Y, c_Relation_OField( Y, X ), X ), !
% 0.87/1.44 c_Orderings_Oord__class_Oless__eq( tc_fun( Y, tc_HOL_Obool ), Z,
% 0.87/1.44 c_Relation_OField( Y, X ) ), ! c_Orderings_Oord__class_Oless__eq( tc_fun
% 0.87/1.44 ( Y, tc_HOL_Obool ), T, c_Relation_OField( Y, X ) ), ! alpha21( X, Y, T,
% 0.87/1.44 skol68( X, Y, Z, T ) ), c_Orderings_Oord__class_Oless__eq( tc_fun( Y,
% 0.87/1.44 tc_HOL_Obool ), c_Relation_OImage( Y, Y, X, Z ), c_Relation_OImage( Y, Y
% 0.87/1.44 , X, T ) ) }.
% 0.87/1.44 { ! alpha21( X, Y, Z, T ), c_member( Y, skol69( U, Y, Z, W ), Z ) }.
% 0.87/1.44 { ! alpha21( X, Y, Z, T ), c_member( tc_prod( Y, Y ), c_Product__Type_OPair
% 0.87/1.44 ( Y, Y, skol69( X, Y, Z, T ), T ), X ) }.
% 0.87/1.44 { ! c_member( Y, U, Z ), ! c_member( tc_prod( Y, Y ), c_Product__Type_OPair
% 0.87/1.44 ( Y, Y, U, T ), X ), alpha21( X, Y, Z, T ) }.
% 0.87/1.44 { ! c_member( U, T, c_Relation_OImage( Z, U, Y, X ) ), c_member( Z, skol70
% 0.87/1.44 ( X, W, Z, V0, V1 ), X ) }.
% 0.87/1.44 { ! c_member( U, T, c_Relation_OImage( Z, U, Y, X ) ), c_member( tc_prod( Z
% 0.87/1.44 , U ), c_Product__Type_OPair( Z, U, skol70( X, Y, Z, T, U ), T ), Y ) }.
% 0.87/1.44 { ! c_Orderings_Oord__class_Oless( tc_Nat_Onat, Y, X ),
% 0.87/1.44 c_Orderings_Oord__class_Oless__eq( tc_Nat_Onat, Y, X ) }.
% 0.87/1.44 { ! c_Wellfounded_OwfP( Y, X ), ! c_Orderings_Oord__class_Oless__eq( tc_fun
% 0.87/1.44 ( Y, tc_fun( Y, tc_HOL_Obool ) ), Z, X ), c_Wellfounded_OwfP( Y, Z ) }.
% 0.87/1.44 { ! c_Orderings_Oord__class_Oless__eq( tc_Nat_Onat, hAPP( Z, Y ), hAPP( Z,
% 0.87/1.44 X ) ), ! c_member( tc_prod( U, U ), c_Product__Type_OPair( U, U, Y, X ),
% 0.87/1.44 T ), c_member( tc_prod( U, U ), c_Product__Type_OPair( U, U, Y, X ),
% 0.87/1.44 c_Wellfounded_Omlex__prod( U, Z, T ) ) }.
% 0.87/1.44 { ! c_member( tc_prod( tc_Nat_Onat, tc_Nat_Onat ), c_Product__Type_OPair(
% 0.87/1.44 tc_Nat_Onat, tc_Nat_Onat, Y, X ), c_Transitive__Closure_Ortrancl(
% 0.87/1.44 tc_Nat_Onat, c_Wellfounded_Opred__nat ) ),
% 0.87/1.44 c_Orderings_Oord__class_Oless__eq( tc_Nat_Onat, Y, X ) }.
% 0.87/1.44 { ! c_Orderings_Oord__class_Oless__eq( tc_Nat_Onat, Y, X ), c_member(
% 0.87/1.44 tc_prod( tc_Nat_Onat, tc_Nat_Onat ), c_Product__Type_OPair( tc_Nat_Onat,
% 0.87/1.44 tc_Nat_Onat, Y, X ), c_Transitive__Closure_Ortrancl( tc_Nat_Onat,
% 0.87/1.44 c_Wellfounded_Opred__nat ) ) }.
% 0.87/1.44 { ! c_Lattices_Osemilattice__inf__class_Oinf( tc_fun( tc_prod( Y, Y ),
% 0.87/1.44 tc_HOL_Obool ), c_Relation_Oconverse( Y, Y, X ),
% 0.87/1.44 c_Transitive__Closure_Ortrancl( Y, X ) ) = c_Orderings_Obot__class_Obot(
% 0.87/1.44 tc_fun( tc_prod( Y, Y ), tc_HOL_Obool ) ), ! c_member( tc_prod( Y, Y ),
% 0.87/1.44 c_Product__Type_OPair( Y, Y, Z, Z ), c_Transitive__Closure_Otrancl( Y, X
% 0.87/1.44 ) ) }.
% 0.87/1.44 { ! c_Equiv__Relations_Oequiv( Z, Y, X ), !
% 0.87/1.44 c_Orderings_Oord__class_Oless__eq( tc_fun( Z, tc_HOL_Obool ),
% 0.87/1.44 c_Relation_OImage( Z, Z, X, c_Set_Oinsert( Z, U,
% 0.87/1.44 c_Orderings_Obot__class_Obot( tc_fun( Z, tc_HOL_Obool ) ) ) ),
% 0.87/1.44 c_Relation_OImage( Z, Z, X, c_Set_Oinsert( Z, T,
% 0.87/1.44 c_Orderings_Obot__class_Obot( tc_fun( Z, tc_HOL_Obool ) ) ) ) ), !
% 0.87/1.44 c_member( Z, U, Y ), c_member( tc_prod( Z, Z ), c_Product__Type_OPair( Z
% 0.87/1.44 , Z, T, U ), X ) }.
% 0.87/1.44 { ! hBOOL( hAPP( Y, X ) ), ! hBOOL( hAPP( Z, X ) ), hBOOL( hAPP(
% 0.87/1.44 c_Lattices_Osemilattice__inf__class_Oinf( tc_fun( T, tc_HOL_Obool ), Y, Z
% 0.87/1.44 ), X ) ) }.
% 0.87/1.44 { ! hBOOL( hAPP( c_Lattices_Osemilattice__inf__class_Oinf( tc_fun( T,
% 0.87/1.44 tc_HOL_Obool ), Z, Y ), X ) ), hBOOL( hAPP( Z, X ) ) }.
% 0.87/1.44 { ! hBOOL( hAPP( c_Lattices_Osemilattice__inf__class_Oinf( tc_fun( T,
% 0.87/1.44 tc_HOL_Obool ), Z, Y ), X ) ), hBOOL( hAPP( Y, X ) ) }.
% 0.87/1.44 { ! c_member( Z, Y, X ), ! c_member( Z, Y, T ), c_member( Z, Y,
% 0.87/1.44 c_Lattices_Osemilattice__inf__class_Oinf( tc_fun( Z, tc_HOL_Obool ), X, T
% 0.87/1.44 ) ) }.
% 0.87/1.44 { ! c_member( T, Z, c_Lattices_Osemilattice__inf__class_Oinf( tc_fun( T,
% 0.87/1.44 tc_HOL_Obool ), Y, X ) ), c_member( T, Z, Y ) }.
% 0.87/1.44 { ! c_member( T, Z, c_Lattices_Osemilattice__inf__class_Oinf( tc_fun( T,
% 0.87/1.44 tc_HOL_Obool ), Y, X ) ), c_member( T, Z, X ) }.
% 0.87/1.44 { c_Orderings_Oord__class_Oless__eq( tc_fun( U, tc_HOL_Obool ),
% 0.87/1.44 c_Relation_OImage( T, U, Z, c_Lattices_Osemilattice__inf__class_Oinf(
% 0.87/1.44 tc_fun( T, tc_HOL_Obool ), Y, X ) ),
% 0.87/1.44 c_Lattices_Osemilattice__inf__class_Oinf( tc_fun( U, tc_HOL_Obool ),
% 0.87/1.44 c_Relation_OImage( T, U, Z, Y ), c_Relation_OImage( T, U, Z, X ) ) ) }.
% 0.87/1.44 { ! c_Lattices_Osemilattice__sup__class_Osup( tc_fun( T, tc_HOL_Obool ),
% 0.87/1.44 c_Lattices_Osemilattice__inf__class_Oinf( tc_fun( T, tc_HOL_Obool ), Z, Y
% 0.87/1.44 ), X ) = c_Lattices_Osemilattice__inf__class_Oinf( tc_fun( T,
% 0.87/1.44 tc_HOL_Obool ), Z, c_Lattices_Osemilattice__sup__class_Osup( tc_fun( T,
% 0.87/1.44 tc_HOL_Obool ), Y, X ) ), c_Orderings_Oord__class_Oless__eq( tc_fun( T,
% 0.87/1.44 tc_HOL_Obool ), X, Z ) }.
% 0.87/1.44 { ! c_Orderings_Oord__class_Oless__eq( tc_fun( T, tc_HOL_Obool ), X, Z ),
% 0.87/1.44 c_Lattices_Osemilattice__sup__class_Osup( tc_fun( T, tc_HOL_Obool ),
% 0.87/1.44 c_Lattices_Osemilattice__inf__class_Oinf( tc_fun( T, tc_HOL_Obool ), Z, Y
% 0.87/1.44 ), X ) = c_Lattices_Osemilattice__inf__class_Oinf( tc_fun( T,
% 0.87/1.44 tc_HOL_Obool ), Z, c_Lattices_Osemilattice__sup__class_Osup( tc_fun( T,
% 0.87/1.44 tc_HOL_Obool ), Y, X ) ) }.
% 0.87/1.44 { ! class_Lattices_Olattice( X ), c_Orderings_Oord__class_Oless__eq( X,
% 0.87/1.44 c_Lattices_Osemilattice__sup__class_Osup( X,
% 0.87/1.44 c_Lattices_Osemilattice__inf__class_Oinf( X, T, Z ),
% 0.87/1.44 c_Lattices_Osemilattice__inf__class_Oinf( X, T, Y ) ),
% 0.87/1.44 c_Lattices_Osemilattice__inf__class_Oinf( X, T,
% 0.87/1.44 c_Lattices_Osemilattice__sup__class_Osup( X, Z, Y ) ) ) }.
% 0.87/1.44 { ! class_Lattices_Olattice( X ), c_Orderings_Oord__class_Oless__eq( X,
% 0.87/1.44 c_Lattices_Osemilattice__sup__class_Osup( X, T,
% 0.87/1.44 c_Lattices_Osemilattice__inf__class_Oinf( X, Z, Y ) ),
% 0.87/1.44 c_Lattices_Osemilattice__inf__class_Oinf( X,
% 0.87/1.44 c_Lattices_Osemilattice__sup__class_Osup( X, T, Z ),
% 0.87/1.44 c_Lattices_Osemilattice__sup__class_Osup( X, T, Y ) ) ) }.
% 0.87/1.44 { ! class_Lattices_Olattice( X ), c_Orderings_Oord__class_Oless__eq( X,
% 0.87/1.44 c_Lattices_Osemilattice__inf__class_Oinf( X, Z, Y ), Z ) }.
% 0.87/1.44 { ! class_Lattices_Osemilattice__inf( X ),
% 0.87/1.44 c_Orderings_Oord__class_Oless__eq( X,
% 0.87/1.44 c_Lattices_Osemilattice__inf__class_Oinf( X, Z, Y ), Z ) }.
% 0.87/1.44 { ! class_Lattices_Olattice( X ), c_Orderings_Oord__class_Oless__eq( X,
% 0.87/1.44 c_Lattices_Osemilattice__inf__class_Oinf( X, Z, Y ), Y ) }.
% 0.87/1.44 { ! class_Lattices_Osemilattice__inf( X ),
% 0.87/1.44 c_Orderings_Oord__class_Oless__eq( X,
% 0.87/1.44 c_Lattices_Osemilattice__inf__class_Oinf( X, Z, Y ), Y ) }.
% 0.87/1.44 { ! class_Lattices_Osemilattice__inf( X ), !
% 0.87/1.44 c_Orderings_Oord__class_Oless__eq( X, Z, Y ),
% 0.87/1.44 c_Lattices_Osemilattice__inf__class_Oinf( X, Z, Y ) = Z }.
% 0.87/1.44 { ! class_Lattices_Osemilattice__inf( X ), !
% 0.87/1.44 c_Lattices_Osemilattice__inf__class_Oinf( X, Z, Y ) = Z,
% 0.87/1.44 c_Orderings_Oord__class_Oless__eq( X, Z, Y ) }.
% 0.87/1.44 { ! class_Lattices_Osemilattice__inf( X ), !
% 0.87/1.44 c_Orderings_Oord__class_Oless__eq( X, T,
% 0.87/1.44 c_Lattices_Osemilattice__inf__class_Oinf( X, Z, Y ) ),
% 0.87/1.44 c_Orderings_Oord__class_Oless__eq( X, T, Z ) }.
% 0.87/1.44 { ! class_Lattices_Osemilattice__inf( X ), !
% 0.87/1.44 c_Orderings_Oord__class_Oless__eq( X, T,
% 0.87/1.44 c_Lattices_Osemilattice__inf__class_Oinf( X, Z, Y ) ),
% 0.87/1.44 c_Orderings_Oord__class_Oless__eq( X, T, Y ) }.
% 0.87/1.44 { ! class_Lattices_Osemilattice__inf( X ), !
% 0.87/1.44 c_Orderings_Oord__class_Oless__eq( X, T, Z ), !
% 0.87/1.44 c_Orderings_Oord__class_Oless__eq( X, T, Y ),
% 0.87/1.44 c_Orderings_Oord__class_Oless__eq( X, T,
% 0.87/1.44 c_Lattices_Osemilattice__inf__class_Oinf( X, Z, Y ) ) }.
% 0.87/1.44 { class_Lattices_Obounded__lattice( tc_HOL_Obool ) }.
% 0.87/1.44 { ! class_Lattices_Obounded__lattice( X ), class_Lattices_Obounded__lattice
% 0.87/1.44 ( tc_fun( Y, X ) ) }.
% 0.87/1.44 { ! class_Lattices_Obounded__lattice( X ),
% 0.87/1.44 class_Lattices_Obounded__lattice__bot( tc_fun( Y, X ) ) }.
% 0.87/1.44 { ! class_Lattices_Olattice( X ), class_Lattices_Osemilattice__sup( tc_fun
% 0.87/1.44 ( Y, X ) ) }.
% 0.87/1.44 { ! class_Lattices_Olattice( X ), class_Lattices_Osemilattice__inf( tc_fun
% 0.87/1.44 ( Y, X ) ) }.
% 0.87/1.44 { ! class_Orderings_Opreorder( X ), class_Orderings_Opreorder( tc_fun( Y, X
% 0.87/1.44 ) ) }.
% 0.87/1.44 { ! class_Lattices_Olattice( X ), class_Lattices_Olattice( tc_fun( Y, X ) )
% 0.87/1.44 }.
% 0.87/1.44 { ! class_Orderings_Oorder( X ), class_Orderings_Oorder( tc_fun( Y, X ) ) }
% 0.87/1.44 .
% 0.87/1.44 { ! class_Orderings_Oord( X ), class_Orderings_Oord( tc_fun( Y, X ) ) }.
% 0.87/1.44 { ! class_Orderings_Obot( X ), class_Orderings_Obot( tc_fun( Y, X ) ) }.
% 0.87/1.44 { ! class_Groups_Ominus( X ), class_Groups_Ominus( tc_fun( Y, X ) ) }.
% 0.87/1.44 { class_Lattices_Osemilattice__sup( tc_Nat_Onat ) }.
% 0.87/1.44 { class_Lattices_Osemilattice__inf( tc_Nat_Onat ) }.
% 0.87/1.44 { class_Orderings_Opreorder( tc_Nat_Onat ) }.
% 0.87/1.44 { class_Orderings_Olinorder( tc_Nat_Onat ) }.
% 0.87/1.44 { class_Lattices_Olattice( tc_Nat_Onat ) }.
% 0.87/1.44 { class_Orderings_Oorder( tc_Nat_Onat ) }.
% 0.87/1.44 { class_Orderings_Oord( tc_Nat_Onat ) }.
% 0.87/1.44 { class_Orderings_Obot( tc_Nat_Onat ) }.
% 0.87/1.44 { class_Groups_Ominus( tc_Nat_Onat ) }.
% 0.87/1.44 { class_Lattices_Obounded__lattice__bot( tc_HOL_Obool ) }.
% 0.87/1.44 { class_Lattices_Osemilattice__sup( tc_HOL_Obool ) }.
% 0.87/1.44 { class_Lattices_Osemilattice__inf( tc_HOL_Obool ) }.
% 0.87/1.44 { class_Orderings_Opreorder( tc_HOL_Obool ) }.
% 0.87/1.44 { class_Lattices_Olattice( tc_HOL_Obool ) }.
% 0.87/1.44 { class_Orderings_Oorder( tc_HOL_Obool ) }.
% 0.87/1.44 { class_Orderings_Oord( tc_HOL_Obool ) }.
% 0.87/1.44 { class_Orderings_Obot( tc_HOL_Obool ) }.
% 0.87/1.44 { class_Groups_Ominus( tc_HOL_Obool ) }.
% 0.87/1.44 { ! hBOOL( hAPP( c_fequal( Y ), X ) ), Y = X }.
% 0.87/1.44 { ! Y = X, hBOOL( hAPP( c_fequal( Y ), X ) ) }.
% 0.87/1.44 { ! v_x = v_y }.
% 0.87/1.44 { ! c_member( tc_prod( tc_Arrow__Order__Mirabelle_Oalt,
% 0.87/1.44 tc_Arrow__Order__Mirabelle_Oalt ), c_Product__Type_OPair(
% 0.87/1.44 tc_Arrow__Order__Mirabelle_Oalt, tc_Arrow__Order__Mirabelle_Oalt, X, Y )
% 0.87/1.44 , v_L ), ! c_member( tc_prod( tc_Arrow__Order__Mirabelle_Oalt,
% 0.87/1.44 tc_Arrow__Order__Mirabelle_Oalt ), c_Product__Type_OPair(
% 0.87/1.44 tc_Arrow__Order__Mirabelle_Oalt, tc_Arrow__Order__Mirabelle_Oalt, Y, Z )
% 0.87/1.44 , v_L ), c_member( tc_prod( tc_Arrow__Order__Mirabelle_Oalt,
% 0.87/1.44 tc_Arrow__Order__Mirabelle_Oalt ), c_Product__Type_OPair(
% 0.87/1.44 tc_Arrow__Order__Mirabelle_Oalt, tc_Arrow__Order__Mirabelle_Oalt, X, Z )
% 0.87/1.44 , v_L ) }.
% 0.87/1.44 { ! c_member( tc_prod( tc_Arrow__Order__Mirabelle_Oalt,
% 0.87/1.44 tc_Arrow__Order__Mirabelle_Oalt ), c_Product__Type_OPair(
% 0.87/1.44 tc_Arrow__Order__Mirabelle_Oalt, tc_Arrow__Order__Mirabelle_Oalt, X, X )
% 0.87/1.44 , v_L ) }.
% 0.87/1.44 { X = Y, c_member( tc_prod( tc_Arrow__Order__Mirabelle_Oalt,
% 0.87/1.44 tc_Arrow__Order__Mirabelle_Oalt ), c_Product__Type_OPair(
% 0.87/1.44 tc_Arrow__Order__Mirabelle_Oalt, tc_Arrow__Order__Mirabelle_Oalt, X, Y )
% 0.87/1.44 , v_L ), c_member( tc_prod( tc_Arrow__Order__Mirabelle_Oalt,
% 0.87/1.44 tc_Arrow__Order__Mirabelle_Oalt ), c_Product__Type_OPair(
% 0.87/1.44 tc_Arrow__Order__Mirabelle_Oalt, tc_Arrow__Order__Mirabelle_Oalt, Y, X )
% 0.87/1.44 , v_L ) }.
% 0.87/1.44 { alpha58, alpha69( skol71, skol94 ) }.
% 0.87/1.44 { alpha58, ! c_member( tc_prod( tc_Arrow__Order__Mirabelle_Oalt,
% 0.87/1.44 tc_Arrow__Order__Mirabelle_Oalt ), c_Product__Type_OPair(
% 0.87/1.44 tc_Arrow__Order__Mirabelle_Oalt, tc_Arrow__Order__Mirabelle_Oalt, skol94
% 0.87/1.44 , skol71 ), v_L ), skol94 = v_x, skol71 = v_x }.
% 0.87/1.44 { alpha58, ! skol71 = v_x, ! c_member( tc_prod(
% 0.87/1.44 tc_Arrow__Order__Mirabelle_Oalt, tc_Arrow__Order__Mirabelle_Oalt ),
% 0.87/1.44 c_Product__Type_OPair( tc_Arrow__Order__Mirabelle_Oalt,
% 0.87/1.44 tc_Arrow__Order__Mirabelle_Oalt, skol94, v_y ), v_L ), skol94 = v_x }.
% 0.87/1.44 { alpha58, ! skol94 = v_x, ! c_member( tc_prod(
% 0.87/1.44 tc_Arrow__Order__Mirabelle_Oalt, tc_Arrow__Order__Mirabelle_Oalt ),
% 0.87/1.44 c_Product__Type_OPair( tc_Arrow__Order__Mirabelle_Oalt,
% 0.87/1.44 tc_Arrow__Order__Mirabelle_Oalt, v_y, skol71 ), v_L ), skol71 = v_x }.
% 0.87/1.44 { ! alpha69( X, Y ), alpha64( X, Y ) }.
% 0.87/1.44 { ! alpha69( X, Y ), ! Y = v_x, ! X = v_y }.
% 0.87/1.44 { ! alpha64( X, Y ), Y = v_x, alpha69( X, Y ) }.
% 0.87/1.44 { ! alpha64( X, Y ), X = v_y, alpha69( X, Y ) }.
% 0.87/1.44 { ! alpha64( X, Y ), alpha61( X, Y ) }.
% 0.87/1.44 { ! alpha64( X, Y ), alpha70( X, Y ) }.
% 0.87/1.44 { ! alpha61( X, Y ), ! alpha70( X, Y ), alpha64( X, Y ) }.
% 0.87/1.44 { ! alpha70( X, Y ), ! X = v_x, ! c_member( tc_prod(
% 0.87/1.44 tc_Arrow__Order__Mirabelle_Oalt, tc_Arrow__Order__Mirabelle_Oalt ),
% 0.87/1.44 c_Product__Type_OPair( tc_Arrow__Order__Mirabelle_Oalt,
% 0.87/1.44 tc_Arrow__Order__Mirabelle_Oalt, v_y, Y ), v_L ), Y = v_x }.
% 0.87/1.44 { X = v_x, alpha70( X, Y ) }.
% 0.87/1.44 { c_member( tc_prod( tc_Arrow__Order__Mirabelle_Oalt,
% 0.87/1.44 tc_Arrow__Order__Mirabelle_Oalt ), c_Product__Type_OPair(
% 0.87/1.44 tc_Arrow__Order__Mirabelle_Oalt, tc_Arrow__Order__Mirabelle_Oalt, v_y, Y
% 0.87/1.44 ), v_L ), alpha70( X, Y ) }.
% 0.87/1.44 { ! Y = v_x, alpha70( X, Y ) }.
% 0.87/1.44 { ! alpha61( X, Y ), alpha59( X, Y ) }.
% 0.87/1.44 { ! alpha61( X, Y ), alpha65( X, Y ) }.
% 0.87/1.44 { ! alpha59( X, Y ), ! alpha65( X, Y ), alpha61( X, Y ) }.
% 0.87/1.44 { ! alpha65( X, Y ), ! Y = v_x, ! c_member( tc_prod(
% 0.87/1.44 tc_Arrow__Order__Mirabelle_Oalt, tc_Arrow__Order__Mirabelle_Oalt ),
% 0.87/1.44 c_Product__Type_OPair( tc_Arrow__Order__Mirabelle_Oalt,
% 0.87/1.44 tc_Arrow__Order__Mirabelle_Oalt, X, v_y ), v_L ), X = v_x }.
% 0.87/1.44 { Y = v_x, alpha65( X, Y ) }.
% 0.87/1.44 { c_member( tc_prod( tc_Arrow__Order__Mirabelle_Oalt,
% 0.87/1.44 tc_Arrow__Order__Mirabelle_Oalt ), c_Product__Type_OPair(
% 0.87/1.44 tc_Arrow__Order__Mirabelle_Oalt, tc_Arrow__Order__Mirabelle_Oalt, X, v_y
% 0.87/1.44 ), v_L ), alpha65( X, Y ) }.
% 0.87/1.44 { ! X = v_x, alpha65( X, Y ) }.
% 0.87/1.44 { ! alpha59( X, Y ), alpha62( X, Y ) }.
% 0.87/1.44 { ! alpha59( X, Y ), alpha66( X, Y ) }.
% 0.87/1.44 { ! alpha62( X, Y ), ! alpha66( X, Y ), alpha59( X, Y ) }.
% 0.87/1.44 { ! alpha66( X, Y ), ! c_member( tc_prod( tc_Arrow__Order__Mirabelle_Oalt,
% 0.87/1.44 tc_Arrow__Order__Mirabelle_Oalt ), c_Product__Type_OPair(
% 0.87/1.44 tc_Arrow__Order__Mirabelle_Oalt, tc_Arrow__Order__Mirabelle_Oalt, X, Y )
% 0.87/1.44 , v_L ), X = v_x, Y = v_x }.
% 0.87/1.44 { c_member( tc_prod( tc_Arrow__Order__Mirabelle_Oalt,
% 0.87/1.44 tc_Arrow__Order__Mirabelle_Oalt ), c_Product__Type_OPair(
% 0.87/1.44 tc_Arrow__Order__Mirabelle_Oalt, tc_Arrow__Order__Mirabelle_Oalt, X, Y )
% 0.87/1.44 , v_L ), alpha66( X, Y ) }.
% 0.87/1.44 { ! X = v_x, alpha66( X, Y ) }.
% 0.87/1.44 { ! Y = v_x, alpha66( X, Y ) }.
% 0.87/1.44 { ! alpha62( X, Y ), ! X = Y }.
% 0.87/1.44 { ! alpha62( X, Y ), ! X = v_x, ! Y = v_y }.
% 0.87/1.44 { X = Y, X = v_x, alpha62( X, Y ) }.
% 0.87/1.44 { X = Y, Y = v_y, alpha62( X, Y ) }.
% 0.87/1.44 { ! alpha58, alpha67( skol72, skol95 ), alpha71( skol72, skol95 ) }.
% 0.87/1.44 { ! alpha67( X, Y ), alpha58 }.
% 0.87/1.44 { ! alpha71( X, Y ), alpha58 }.
% 0.87/1.44 { ! alpha71( X, Y ), alpha74( X, Y ) }.
% 0.87/1.44 { ! alpha71( X, Y ), alpha63( Y ) }.
% 0.87/1.44 { ! alpha74( X, Y ), ! alpha63( Y ), alpha71( X, Y ) }.
% 0.87/1.44 { ! alpha74( X, Y ), X = v_x }.
% 0.87/1.44 { ! alpha74( X, Y ), c_member( tc_prod( tc_Arrow__Order__Mirabelle_Oalt,
% 0.87/1.44 tc_Arrow__Order__Mirabelle_Oalt ), c_Product__Type_OPair(
% 0.87/1.44 tc_Arrow__Order__Mirabelle_Oalt, tc_Arrow__Order__Mirabelle_Oalt, v_y, Y
% 0.87/1.44 ), v_L ) }.
% 0.87/1.44 { ! alpha74( X, Y ), ! Y = v_x }.
% 0.87/1.44 { ! X = v_x, ! c_member( tc_prod( tc_Arrow__Order__Mirabelle_Oalt,
% 0.87/1.44 tc_Arrow__Order__Mirabelle_Oalt ), c_Product__Type_OPair(
% 0.87/1.44 tc_Arrow__Order__Mirabelle_Oalt, tc_Arrow__Order__Mirabelle_Oalt, v_y, Y
% 0.87/1.44 ), v_L ), Y = v_x, alpha74( X, Y ) }.
% 0.87/1.44 { ! alpha67( X, Y ), alpha72( X, Y ), alpha75( X, Y ) }.
% 0.87/1.44 { ! alpha72( X, Y ), alpha67( X, Y ) }.
% 0.87/1.44 { ! alpha75( X, Y ), alpha67( X, Y ) }.
% 0.87/1.44 { ! alpha75( X, Y ), alpha77( X, Y ) }.
% 0.87/1.44 { ! alpha75( X, Y ), alpha60( X ) }.
% 0.87/1.44 { ! alpha77( X, Y ), ! alpha60( X ), alpha75( X, Y ) }.
% 0.87/1.44 { ! alpha77( X, Y ), Y = v_x }.
% 0.87/1.44 { ! alpha77( X, Y ), c_member( tc_prod( tc_Arrow__Order__Mirabelle_Oalt,
% 0.87/1.44 tc_Arrow__Order__Mirabelle_Oalt ), c_Product__Type_OPair(
% 0.87/1.44 tc_Arrow__Order__Mirabelle_Oalt, tc_Arrow__Order__Mirabelle_Oalt, X, v_y
% 0.87/1.44 ), v_L ) }.
% 0.87/1.44 { ! alpha77( X, Y ), ! X = v_x }.
% 0.87/1.44 { ! Y = v_x, ! c_member( tc_prod( tc_Arrow__Order__Mirabelle_Oalt,
% 0.87/1.44 tc_Arrow__Order__Mirabelle_Oalt ), c_Product__Type_OPair(
% 0.87/1.44 tc_Arrow__Order__Mirabelle_Oalt, tc_Arrow__Order__Mirabelle_Oalt, X, v_y
% 0.87/1.44 ), v_L ), X = v_x, alpha77( X, Y ) }.
% 0.87/1.44 { ! alpha72( X, Y ), alpha76( X, Y ) }.
% 0.87/1.44 { ! alpha72( X, Y ), alpha78( X, Y ) }.
% 0.87/1.44 { ! alpha76( X, Y ), ! alpha78( X, Y ), alpha72( X, Y ) }.
% 0.87/1.44 { ! alpha78( X, Y ), alpha81( X, Y, skol73( X, Y ) ), alpha80( Y, skol73( X
% 0.87/1.44 , Y ) ) }.
% 0.87/1.44 { ! alpha78( X, Y ), alpha81( X, Y, skol73( X, Y ) ), ! c_member( tc_prod(
% 0.87/1.44 tc_Arrow__Order__Mirabelle_Oalt, tc_Arrow__Order__Mirabelle_Oalt ),
% 0.87/1.44 c_Product__Type_OPair( tc_Arrow__Order__Mirabelle_Oalt,
% 0.87/1.44 tc_Arrow__Order__Mirabelle_Oalt, X, v_y ), v_L ) }.
% 0.87/1.44 { ! alpha81( X, Y, Z ), alpha78( X, Y ) }.
% 0.87/1.44 { ! alpha80( Y, Z ), c_member( tc_prod( tc_Arrow__Order__Mirabelle_Oalt,
% 0.87/1.44 tc_Arrow__Order__Mirabelle_Oalt ), c_Product__Type_OPair(
% 0.87/1.44 tc_Arrow__Order__Mirabelle_Oalt, tc_Arrow__Order__Mirabelle_Oalt, X, v_y
% 0.87/1.44 ), v_L ), alpha78( X, Y ) }.
% 0.87/1.44 { ! alpha81( X, Y, Z ), alpha79( Y, Z ) }.
% 0.87/1.44 { ! alpha81( X, Y, Z ), ! c_member( tc_prod(
% 0.87/1.44 tc_Arrow__Order__Mirabelle_Oalt, tc_Arrow__Order__Mirabelle_Oalt ),
% 0.87/1.44 c_Product__Type_OPair( tc_Arrow__Order__Mirabelle_Oalt,
% 0.87/1.44 tc_Arrow__Order__Mirabelle_Oalt, X, Z ), v_L ) }.
% 0.87/1.44 { ! alpha79( Y, Z ), c_member( tc_prod( tc_Arrow__Order__Mirabelle_Oalt,
% 0.87/1.44 tc_Arrow__Order__Mirabelle_Oalt ), c_Product__Type_OPair(
% 0.87/1.44 tc_Arrow__Order__Mirabelle_Oalt, tc_Arrow__Order__Mirabelle_Oalt, X, Z )
% 0.87/1.44 , v_L ), alpha81( X, Y, Z ) }.
% 0.87/1.44 { ! alpha80( X, Y ), Y = v_x }.
% 0.87/1.44 { ! alpha80( X, Y ), c_member( tc_prod( tc_Arrow__Order__Mirabelle_Oalt,
% 0.87/1.44 tc_Arrow__Order__Mirabelle_Oalt ), c_Product__Type_OPair(
% 0.87/1.44 tc_Arrow__Order__Mirabelle_Oalt, tc_Arrow__Order__Mirabelle_Oalt, X, v_y
% 0.87/1.44 ), v_L ) }.
% 0.87/1.44 { ! Y = v_x, ! c_member( tc_prod( tc_Arrow__Order__Mirabelle_Oalt,
% 0.87/1.44 tc_Arrow__Order__Mirabelle_Oalt ), c_Product__Type_OPair(
% 0.87/1.44 tc_Arrow__Order__Mirabelle_Oalt, tc_Arrow__Order__Mirabelle_Oalt, X, v_y
% 0.87/1.44 ), v_L ), alpha80( X, Y ) }.
% 0.87/1.44 { ! alpha79( X, Y ), c_member( tc_prod( tc_Arrow__Order__Mirabelle_Oalt,
% 0.87/1.44 tc_Arrow__Order__Mirabelle_Oalt ), c_Product__Type_OPair(
% 0.87/1.44 tc_Arrow__Order__Mirabelle_Oalt, tc_Arrow__Order__Mirabelle_Oalt, X, Y )
% 0.87/1.44 , v_L ) }.
% 0.87/1.44 { ! alpha79( X, Y ), ! Y = v_x }.
% 0.87/1.44 { ! c_member( tc_prod( tc_Arrow__Order__Mirabelle_Oalt,
% 0.87/1.44 tc_Arrow__Order__Mirabelle_Oalt ), c_Product__Type_OPair(
% 0.87/1.44 tc_Arrow__Order__Mirabelle_Oalt, tc_Arrow__Order__Mirabelle_Oalt, X, Y )
% 0.87/1.44 , v_L ), Y = v_x, alpha79( X, Y ) }.
% 0.87/1.44 { ! alpha76( X, Y ), c_member( tc_prod( tc_Arrow__Order__Mirabelle_Oalt,
% 0.87/1.44 tc_Arrow__Order__Mirabelle_Oalt ), c_Product__Type_OPair(
% 0.87/1.44 tc_Arrow__Order__Mirabelle_Oalt, tc_Arrow__Order__Mirabelle_Oalt, X, Y )
% 0.87/1.44 , v_L ) }.
% 0.87/1.44 { ! alpha76( X, Y ), ! X = v_x }.
% 0.87/1.44 { ! alpha76( X, Y ), ! Y = v_x }.
% 0.87/1.44 { ! c_member( tc_prod( tc_Arrow__Order__Mirabelle_Oalt,
% 0.87/1.44 tc_Arrow__Order__Mirabelle_Oalt ), c_Product__Type_OPair(
% 0.87/1.44 tc_Arrow__Order__Mirabelle_Oalt, tc_Arrow__Order__Mirabelle_Oalt, X, Y )
% 0.87/1.44 , v_L ), X = v_x, Y = v_x, alpha76( X, Y ) }.
% 0.87/1.44 { ! alpha63( X ), alpha68( X, skol74( X ) ), skol74( X ) = v_x }.
% 0.87/1.44 { ! alpha63( X ), alpha68( X, skol74( X ) ), c_member( tc_prod(
% 0.87/1.44 tc_Arrow__Order__Mirabelle_Oalt, tc_Arrow__Order__Mirabelle_Oalt ),
% 0.87/1.44 c_Product__Type_OPair( tc_Arrow__Order__Mirabelle_Oalt,
% 0.87/1.44 tc_Arrow__Order__Mirabelle_Oalt, X, v_y ), v_L ) }.
% 0.87/1.44 { ! alpha68( X, Y ), alpha63( X ) }.
% 0.87/1.44 { ! Y = v_x, ! c_member( tc_prod( tc_Arrow__Order__Mirabelle_Oalt,
% 0.87/1.44 tc_Arrow__Order__Mirabelle_Oalt ), c_Product__Type_OPair(
% 0.87/1.44 tc_Arrow__Order__Mirabelle_Oalt, tc_Arrow__Order__Mirabelle_Oalt, X, v_y
% 0.87/1.44 ), v_L ), alpha63( X ) }.
% 0.87/1.44 { ! alpha68( X, Y ), alpha73( X, Y ) }.
% 0.87/1.44 { ! alpha68( X, Y ), ! c_member( tc_prod( tc_Arrow__Order__Mirabelle_Oalt,
% 0.87/1.44 tc_Arrow__Order__Mirabelle_Oalt ), c_Product__Type_OPair(
% 0.87/1.44 tc_Arrow__Order__Mirabelle_Oalt, tc_Arrow__Order__Mirabelle_Oalt, v_y, Y
% 0.87/1.44 ), v_L ) }.
% 0.87/1.44 { ! alpha73( X, Y ), c_member( tc_prod( tc_Arrow__Order__Mirabelle_Oalt,
% 0.87/1.44 tc_Arrow__Order__Mirabelle_Oalt ), c_Product__Type_OPair(
% 0.87/1.44 tc_Arrow__Order__Mirabelle_Oalt, tc_Arrow__Order__Mirabelle_Oalt, v_y, Y
% 0.87/1.44 ), v_L ), alpha68( X, Y ) }.
% 0.87/1.44 { ! alpha73( X, Y ), c_member( tc_prod( tc_Arrow__Order__Mirabelle_Oalt,
% 0.87/1.44 tc_Arrow__Order__Mirabelle_Oalt ), c_Product__Type_OPair(
% 0.87/1.44 tc_Arrow__Order__Mirabelle_Oalt, tc_Arrow__Order__Mirabelle_Oalt, X, Y )
% 0.87/1.44 , v_L ) }.
% 0.87/1.44 { ! alpha73( X, Y ), ! Y = v_x }.
% 0.87/1.44 { ! alpha73( X, Y ), ! Y = v_y }.
% 0.87/1.44 { ! c_member( tc_prod( tc_Arrow__Order__Mirabelle_Oalt,
% 0.87/1.44 tc_Arrow__Order__Mirabelle_Oalt ), c_Product__Type_OPair(
% 0.87/1.44 tc_Arrow__Order__Mirabelle_Oalt, tc_Arrow__Order__Mirabelle_Oalt, X, Y )
% 0.87/1.44 , v_L ), Y = v_x, Y = v_y, alpha73( X, Y ) }.
% 0.87/1.44 { ! alpha60( X ), c_member( tc_prod( tc_Arrow__Order__Mirabelle_Oalt,
% 0.87/1.44 tc_Arrow__Order__Mirabelle_Oalt ), c_Product__Type_OPair(
% 0.87/1.44 tc_Arrow__Order__Mirabelle_Oalt, tc_Arrow__Order__Mirabelle_Oalt, v_y,
% 0.87/1.44 skol75( Y ) ), v_L ) }.
% 0.87/1.44 { ! alpha60( X ), ! skol75( Y ) = v_x }.
% 0.87/1.44 { ! alpha60( X ), ! c_member( tc_prod( tc_Arrow__Order__Mirabelle_Oalt,
% 0.87/1.44 tc_Arrow__Order__Mirabelle_Oalt ), c_Product__Type_OPair(
% 0.87/1.44 tc_Arrow__Order__Mirabelle_Oalt, tc_Arrow__Order__Mirabelle_Oalt, X,
% 0.87/1.44 skol75( X ) ), v_L ) }.
% 0.87/1.44 { ! c_member( tc_prod( tc_Arrow__Order__Mirabelle_Oalt,
% 0.87/1.44 tc_Arrow__Order__Mirabelle_Oalt ), c_Product__Type_OPair(
% 0.87/1.44 tc_Arrow__Order__Mirabelle_Oalt, tc_Arrow__Order__Mirabelle_Oalt, v_y, Y
% 0.87/1.44 ), v_L ), Y = v_x, c_member( tc_prod( tc_Arrow__Order__Mirabelle_Oalt,
% 0.87/1.44 tc_Arrow__Order__Mirabelle_Oalt ), c_Product__Type_OPair(
% 0.87/1.44 tc_Arrow__Order__Mirabelle_Oalt, tc_Arrow__Order__Mirabelle_Oalt, X, Y )
% 0.87/1.44 , v_L ), alpha60( X ) }.
% 0.87/1.44
% 0.87/1.44 *** allocated 15000 integers for clauses
% 0.87/1.44 *** allocated 22500 integers for clauses
% 0.87/1.44 *** allocated 33750 integers for clauses
% 0.87/1.44 *** allocated 50625 integers for clauses
% 0.87/1.44 percentage equality = 0.184915, percentage horn = 0.830527
% 0.87/1.44 This is a problem with some equality
% 0.87/1.44
% 0.87/1.44
% 0.87/1.44
% 0.87/1.44 Options Used:
% 0.87/1.44
% 0.87/1.44 useres = 1
% 0.87/1.44 useparamod = 1
% 0.87/1.44 useeqrefl = 1
% 0.87/1.44 useeqfact = 1
% 0.87/1.44 usefactor = 1
% 0.87/1.44 usesimpsplitting = 0
% 0.87/1.44 usesimpdemod = 5
% 0.87/1.44 usesimpres = 3
% 0.87/1.44
% 0.87/1.44 resimpinuse = 1000
% 0.87/1.44 resimpclauses = 20000
% 0.87/1.44 substype = eqrewr
% 0.87/1.44 backwardsubs = 1
% 0.87/1.44 selectoldest = 5
% 0.87/1.44
% 0.87/1.44 litorderings [0] = split
% 0.87/1.44 litorderings [1] = extend the termordering, first sorting on arguments
% 0.87/1.44
% 0.87/1.44 termordering = kbo
% 0.87/1.44
% 0.87/1.44 litapriori = 0
% 0.87/1.44 termapriori = 1
% 0.87/1.44 litaposteriori = 0
% 0.87/1.44 termaposteriori = 0
% 0.87/1.44 demodaposteriori = 0
% 0.87/1.44 ordereqreflfact = 0
% 0.87/1.44
% 0.87/1.44 litselect = negord
% 0.87/1.44
% 0.87/1.44 maxweight = 15
% 0.87/1.44 maxdepth = 30000
% 0.87/1.44 maxlength = 115
% 0.87/1.44 maxnrvars = 195
% 0.87/1.44 excuselevel = 1
% 0.87/1.44 increasemaxweight = 1
% 0.87/1.44
% 0.87/1.44 maxselected = 10000000
% 0.87/1.44 maxnrclauses = 10000000
% 0.87/1.44
% 0.87/1.44 showgenerated = 0
% 0.87/1.44 showkept = 0
% 0.87/1.44 showselected = 0
% 0.87/1.44 showdeleted = 0
% 0.87/1.44 showresimp = 1
% 0.87/1.44 showstatus = 2000
% 0.87/1.44
% 0.87/1.44 prologoutput = 0
% 0.87/1.44 nrgoals = 5000000
% 0.87/1.44 totalproof = 1
% 0.87/1.44
% 0.87/1.44 Symbols occurring in the translation:
% 0.87/1.44
% 0.87/1.44 {} [0, 0] (w:1, o:2, a:1, s:1, b:0),
% 0.87/1.44 . [1, 2] (w:1, o:130, a:1, s:1, b:0),
% 0.87/1.44 ! [4, 1] (w:0, o:102, a:1, s:1, b:0),
% 0.87/1.44 = [13, 2] (w:1, o:0, a:0, s:1, b:0),
% 0.87/1.44 ==> [14, 2] (w:1, o:0, a:0, s:1, b:0),
% 0.87/1.44 hAPP [38, 2] (w:1, o:154, a:1, s:1, b:0),
% 0.87/1.44 c_member [43, 3] (w:1, o:215, a:1, s:1, b:0),
% 0.87/1.44 tc_Arrow__Order__Mirabelle_Oalt [48, 0] (w:1, o:47, a:1, s:1, b:0),
% 0.87/1.44 tc_prod [49, 2] (w:1, o:178, a:1, s:1, b:0),
% 0.87/1.44 c_Product__Type_OPair [50, 4] (w:1, o:269, a:1, s:1, b:0),
% 0.87/1.44 c_Arrow__Order__Mirabelle_Omkbot [51, 2] (w:1, o:179, a:1, s:1, b:0)
% 0.87/1.44 ,
% 0.87/1.44 c_Arrow__Order__Mirabelle_Omktop [52, 2] (w:1, o:180, a:1, s:1, b:0)
% 0.87/1.44 ,
% 0.87/1.44 c_FunDef_Oin__rel [55, 3] (w:1, o:217, a:1, s:1, b:0),
% 0.87/1.44 hBOOL [56, 1] (w:1, o:107, a:1, s:1, b:0),
% 0.87/1.44 c_Recdef_Osame__fst [59, 4] (w:1, o:270, a:1, s:1, b:0),
% 0.87/1.44 c_Nitpick_Orefl_H [61, 2] (w:1, o:181, a:1, s:1, b:0),
% 0.87/1.44 c_Product__Type_Oprod_Oprod__rec [75, 5] (w:1, o:330, a:1, s:1, b:0)
% 0.87/1.44 ,
% 0.87/1.44 c_Wellfounded_Olex__prod [77, 4] (w:1, o:271, a:1, s:1, b:0),
% 0.87/1.44 c_Product__Type_Ointernal__split [78, 5] (w:1, o:331, a:1, s:1, b:0)
% 0.87/1.44 ,
% 0.87/1.44 tc_HOL_Obool [79, 0] (w:1, o:63, a:1, s:1, b:0),
% 0.87/1.44 tc_fun [80, 2] (w:1, o:182, a:1, s:1, b:0),
% 0.87/1.44 c_Arrow__Order__Mirabelle_OLin [81, 0] (w:1, o:64, a:1, s:1, b:0),
% 0.87/1.44 c_Recdef_Owfrec__rel [85, 6] (w:1, o:352, a:1, s:1, b:0),
% 0.87/1.44 c_Product__Type_Ocurry [88, 6] (w:1, o:353, a:1, s:1, b:0),
% 0.87/1.44 c_Recdef_Ocut [89, 5] (w:1, o:332, a:1, s:1, b:0),
% 0.87/1.44 c_Arrow__Order__Mirabelle_Oabove [93, 3] (w:1, o:218, a:1, s:1, b:0)
% 0.87/1.44 ,
% 0.87/1.44 c_Arrow__Order__Mirabelle_Obelow [94, 3] (w:1, o:219, a:1, s:1, b:0)
% 0.87/1.44 ,
% 0.87/1.44 c_Wellfounded_Oacc [95, 2] (w:1, o:183, a:1, s:1, b:0),
% 0.87/1.44 c_Nitpick_Owf__wfrec_H [97, 5] (w:1, o:333, a:1, s:1, b:0),
% 0.87/1.44 c_Nitpick_Owf__wfrec [98, 4] (w:1, o:272, a:1, s:1, b:0),
% 0.87/1.44 c_fequal [99, 1] (w:1, o:108, a:1, s:1, b:0),
% 0.87/1.44 c_Product__Type_OSigma [100, 4] (w:1, o:273, a:1, s:1, b:0),
% 0.87/1.44 c_Transitive__Closure_Ortrancl [101, 2] (w:1, o:185, a:1, s:1, b:0),
% 0.87/1.44
% 0.87/1.44 c_Relation_Oirrefl [102, 2] (w:1, o:186, a:1, s:1, b:0),
% 0.87/1.44 c_Relation_Oconverse [103, 3] (w:1, o:220, a:1, s:1, b:0),
% 0.87/1.44 c_Relation_ORange [104, 3] (w:1, o:221, a:1, s:1, b:0),
% 0.87/1.44 c_Relation_OId__on [105, 2] (w:1, o:187, a:1, s:1, b:0),
% 0.87/1.44 c_Relation_Osingle__valued [107, 3] (w:1, o:223, a:1, s:1, b:0),
% 0.87/1.44 c_Relation_ODomain [109, 3] (w:1, o:224, a:1, s:1, b:0),
% 0.87/1.44 c_Relation_Ototal__on [119, 3] (w:1, o:225, a:1, s:1, b:0),
% 0.87/1.44 c_Relation_Oinv__image [121, 3] (w:1, o:226, a:1, s:1, b:0),
% 0.87/1.44 c_Relation_Orefl__on [122, 3] (w:1, o:222, a:1, s:1, b:0),
% 0.87/1.44 c_Transitive__Closure_Otrancl [123, 2] (w:1, o:188, a:1, s:1, b:0),
% 0.87/1.44 c_Relation_OId [124, 1] (w:1, o:109, a:1, s:1, b:0),
% 0.87/1.44 c_Relation_Oantisym [125, 2] (w:1, o:189, a:1, s:1, b:0),
% 0.87/1.44 c_Wellfounded_Oacyclic [126, 2] (w:1, o:190, a:1, s:1, b:0),
% 0.87/1.44 c_Set_Oinsert [127, 3] (w:1, o:227, a:1, s:1, b:0),
% 0.87/1.44 c_Lattices_Osemilattice__sup__class_Osup [129, 3] (w:1, o:228, a:1
% 0.87/1.44 , s:1, b:0),
% 0.87/1.44 c_Groups_Ominus__class_Ominus [130, 3] (w:1, o:229, a:1, s:1, b:0),
% 0.87/1.44 class_Groups_Ominus [133, 1] (w:1, o:110, a:1, s:1, b:0),
% 0.87/1.44 class_Lattices_Olattice [134, 1] (w:1, o:111, a:1, s:1, b:0),
% 0.87/1.44 c_Relation_Otrans [136, 2] (w:1, o:191, a:1, s:1, b:0),
% 0.87/1.44 c_Wellfounded_Owf [137, 2] (w:1, o:192, a:1, s:1, b:0),
% 0.87/1.44 class_Lattices_Osemilattice__sup [142, 1] (w:1, o:112, a:1, s:1, b:0)
% 0.87/1.44 ,
% 0.87/1.44 c_Order__Relation_Ostrict__linear__order__on [147, 3] (w:1, o:230, a:
% 0.87/1.44 1, s:1, b:0),
% 0.87/1.44 c_Wellfounded_Omeasure [148, 1] (w:1, o:113, a:1, s:1, b:0),
% 0.87/1.44 c_Recdef_Owfrec [150, 4] (w:1, o:274, a:1, s:1, b:0),
% 0.87/1.44 c_Order__Relation_Olinear__order__on [152, 3] (w:1, o:231, a:1, s:1
% 0.87/1.44 , b:0),
% 0.87/1.44 c_Order__Relation_Opreorder__on [153, 3] (w:1, o:232, a:1, s:1, b:0)
% 0.87/1.44 ,
% 0.87/1.44 c_Order__Relation_Owell__order__on [155, 3] (w:1, o:233, a:1, s:1, b:
% 0.87/1.44 0),
% 0.87/1.44 c_Order__Relation_Opartial__order__on [156, 3] (w:1, o:234, a:1, s:1
% 0.87/1.44 , b:0),
% 0.87/1.44 c_Wellfounded_OwfP [157, 2] (w:1, o:193, a:1, s:1, b:0),
% 0.87/1.44 c_Relation_OField [158, 2] (w:1, o:194, a:1, s:1, b:0),
% 0.87/1.44 tc_Nat_Onat [159, 0] (w:1, o:87, a:1, s:1, b:0),
% 0.87/1.44 c_Orderings_Oord__class_Oless [160, 3] (w:1, o:235, a:1, s:1, b:0),
% 0.87/1.44 c_Wellfounded_Omlex__prod [161, 3] (w:1, o:236, a:1, s:1, b:0),
% 0.87/1.44 class_Groups_Oordered__ab__group__add [163, 1] (w:1, o:114, a:1, s:1
% 0.87/1.44 , b:0),
% 0.87/1.44 c_Orderings_Obot__class_Obot [164, 1] (w:1, o:115, a:1, s:1, b:0),
% 0.87/1.44 c_Wellfounded_Oless__than [165, 0] (w:1, o:89, a:1, s:1, b:0),
% 0.87/1.44 class_Lattices_Obounded__lattice__bot [166, 1] (w:1, o:116, a:1, s:1
% 0.87/1.44 , b:0),
% 0.87/1.44 class_Groups_Oab__group__add [167, 1] (w:1, o:117, a:1, s:1, b:0),
% 0.87/1.44 c_Set_Othe__elem [168, 2] (w:1, o:184, a:1, s:1, b:0),
% 0.87/1.44 c_Nitpick_Ofold__graph_H [169, 6] (w:1, o:354, a:1, s:1, b:0),
% 0.87/1.44 class_Orderings_Obot [170, 1] (w:1, o:118, a:1, s:1, b:0),
% 0.87/1.44 c_Relation_OImage [171, 4] (w:1, o:275, a:1, s:1, b:0),
% 0.87/1.44 class_Orderings_Opreorder [172, 1] (w:1, o:121, a:1, s:1, b:0),
% 0.87/1.44 class_Orderings_Olinorder [173, 1] (w:1, o:122, a:1, s:1, b:0),
% 0.87/1.44 class_Orderings_Oorder [174, 1] (w:1, o:119, a:1, s:1, b:0),
% 0.87/1.44 class_Orderings_Oord [175, 1] (w:1, o:120, a:1, s:1, b:0),
% 0.87/1.44 c_Wellfounded_Opred__nat [178, 0] (w:1, o:92, a:1, s:1, b:0),
% 0.87/1.44 c_Orderings_Oord__class_Oless__eq [179, 3] (w:1, o:237, a:1, s:1, b:0
% 0.87/1.44 ),
% 0.87/1.44 c_Lattices_Osemilattice__inf__class_Oinf [188, 3] (w:1, o:238, a:1
% 0.87/1.44 , s:1, b:0),
% 0.87/1.44 c_Equiv__Relations_Oequiv [189, 3] (w:1, o:216, a:1, s:1, b:0),
% 0.87/1.44 class_Lattices_Osemilattice__inf [190, 1] (w:1, o:123, a:1, s:1, b:0)
% 0.87/1.44 ,
% 0.87/1.44 class_Lattices_Obounded__lattice [191, 1] (w:1, o:124, a:1, s:1, b:0)
% 0.87/1.44 ,
% 0.87/1.44 v_x [196, 0] (w:1, o:98, a:1, s:1, b:0),
% 0.87/1.44 v_y [197, 0] (w:1, o:99, a:1, s:1, b:0),
% 0.87/1.44 v_L [198, 0] (w:1, o:100, a:1, s:1, b:0),
% 0.87/1.44 alpha1 [199, 3] (w:1, o:239, a:1, s:1, b:1),
% 0.87/1.44 alpha2 [200, 3] (w:1, o:244, a:1, s:1, b:1),
% 0.87/1.44 alpha3 [201, 6] (w:1, o:355, a:1, s:1, b:1),
% 0.87/1.44 alpha4 [202, 6] (w:1, o:356, a:1, s:1, b:1),
% 0.87/1.44 alpha5 [203, 3] (w:1, o:245, a:1, s:1, b:1),
% 0.87/1.44 alpha6 [204, 3] (w:1, o:246, a:1, s:1, b:1),
% 0.87/1.44 alpha7 [205, 6] (w:1, o:357, a:1, s:1, b:1),
% 0.87/1.44 alpha8 [206, 5] (w:1, o:334, a:1, s:1, b:1),
% 0.87/1.44 alpha9 [207, 4] (w:1, o:276, a:1, s:1, b:1),
% 0.87/1.44 alpha10 [208, 4] (w:1, o:277, a:1, s:1, b:1),
% 0.87/1.44 alpha11 [209, 4] (w:1, o:278, a:1, s:1, b:1),
% 0.87/1.44 alpha12 [210, 3] (w:1, o:240, a:1, s:1, b:1),
% 0.87/1.44 alpha13 [211, 3] (w:1, o:241, a:1, s:1, b:1),
% 0.87/1.44 alpha14 [212, 4] (w:1, o:279, a:1, s:1, b:1),
% 0.87/1.44 alpha15 [213, 3] (w:1, o:242, a:1, s:1, b:1),
% 0.87/1.44 alpha16 [214, 3] (w:1, o:243, a:1, s:1, b:1),
% 0.87/1.44 alpha17 [215, 4] (w:1, o:280, a:1, s:1, b:1),
% 0.87/1.44 alpha18 [216, 6] (w:1, o:358, a:1, s:1, b:1),
% 0.87/1.44 alpha19 [217, 4] (w:1, o:281, a:1, s:1, b:1),
% 0.87/1.44 alpha20 [218, 4] (w:1, o:282, a:1, s:1, b:1),
% 0.87/1.44 alpha21 [219, 4] (w:1, o:283, a:1, s:1, b:1),
% 0.87/1.44 alpha22 [220, 4] (w:1, o:284, a:1, s:1, b:1),
% 0.87/1.44 alpha23 [221, 4] (w:1, o:285, a:1, s:1, b:1),
% 0.87/1.44 alpha24 [222, 4] (w:1, o:286, a:1, s:1, b:1),
% 0.87/1.44 alpha25 [223, 4] (w:1, o:287, a:1, s:1, b:1),
% 0.87/1.44 alpha26 [224, 4] (w:1, o:288, a:1, s:1, b:1),
% 0.87/1.44 alpha27 [225, 3] (w:1, o:247, a:1, s:1, b:1),
% 0.87/1.44 alpha28 [226, 3] (w:1, o:248, a:1, s:1, b:1),
% 0.87/1.44 alpha29 [227, 4] (w:1, o:289, a:1, s:1, b:1),
% 0.87/1.44 alpha30 [228, 4] (w:1, o:290, a:1, s:1, b:1),
% 0.87/1.44 alpha31 [229, 7] (w:1, o:373, a:1, s:1, b:1),
% 0.87/1.44 alpha32 [230, 4] (w:1, o:291, a:1, s:1, b:1),
% 0.87/1.44 alpha33 [231, 4] (w:1, o:292, a:1, s:1, b:1),
% 0.87/1.44 alpha34 [232, 4] (w:1, o:293, a:1, s:1, b:1),
% 0.87/1.44 alpha35 [233, 4] (w:1, o:294, a:1, s:1, b:1),
% 0.87/1.44 alpha36 [234, 5] (w:1, o:335, a:1, s:1, b:1),
% 0.87/1.44 alpha37 [235, 5] (w:1, o:336, a:1, s:1, b:1),
% 0.87/1.44 alpha38 [236, 4] (w:1, o:295, a:1, s:1, b:1),
% 0.87/1.44 alpha39 [237, 4] (w:1, o:296, a:1, s:1, b:1),
% 0.87/1.44 alpha40 [238, 4] (w:1, o:297, a:1, s:1, b:1),
% 0.87/1.44 alpha41 [239, 7] (w:1, o:374, a:1, s:1, b:1),
% 0.87/1.44 alpha42 [240, 4] (w:1, o:298, a:1, s:1, b:1),
% 0.87/1.44 alpha43 [241, 5] (w:1, o:337, a:1, s:1, b:1),
% 0.87/1.44 alpha44 [242, 5] (w:1, o:338, a:1, s:1, b:1),
% 0.87/1.44 alpha45 [243, 4] (w:1, o:299, a:1, s:1, b:1),
% 0.87/1.44 alpha46 [244, 5] (w:1, o:339, a:1, s:1, b:1),
% 0.87/1.44 alpha47 [245, 5] (w:1, o:340, a:1, s:1, b:1),
% 0.87/1.44 alpha48 [246, 4] (w:1, o:300, a:1, s:1, b:1),
% 0.87/1.44 alpha49 [247, 5] (w:1, o:341, a:1, s:1, b:1),
% 0.87/1.44 alpha50 [248, 5] (w:1, o:342, a:1, s:1, b:1),
% 0.87/1.44 alpha51 [249, 5] (w:1, o:343, a:1, s:1, b:1),
% 0.87/1.44 alpha52 [250, 5] (w:1, o:344, a:1, s:1, b:1),
% 0.87/1.44 alpha53 [251, 4] (w:1, o:301, a:1, s:1, b:1),
% 0.87/1.44 alpha54 [252, 6] (w:1, o:359, a:1, s:1, b:1),
% 0.87/1.44 alpha55 [253, 9] (w:1, o:379, a:1, s:1, b:1),
% 0.87/1.44 alpha56 [254, 4] (w:1, o:302, a:1, s:1, b:1),
% 0.87/1.44 alpha57 [255, 5] (w:1, o:345, a:1, s:1, b:1),
% 0.87/1.44 alpha58 [256, 0] (w:1, o:101, a:1, s:1, b:1),
% 0.87/1.44 alpha59 [257, 2] (w:1, o:195, a:1, s:1, b:1),
% 0.87/1.44 alpha60 [258, 1] (w:1, o:125, a:1, s:1, b:1),
% 0.87/1.44 alpha61 [259, 2] (w:1, o:196, a:1, s:1, b:1),
% 0.87/1.44 alpha62 [260, 2] (w:1, o:197, a:1, s:1, b:1),
% 0.87/1.44 alpha63 [261, 1] (w:1, o:126, a:1, s:1, b:1),
% 0.87/1.44 alpha64 [262, 2] (w:1, o:198, a:1, s:1, b:1),
% 0.87/1.44 alpha65 [263, 2] (w:1, o:199, a:1, s:1, b:1),
% 0.87/1.44 alpha66 [264, 2] (w:1, o:200, a:1, s:1, b:1),
% 0.87/1.44 alpha67 [265, 2] (w:1, o:201, a:1, s:1, b:1),
% 0.87/1.44 alpha68 [266, 2] (w:1, o:202, a:1, s:1, b:1),
% 0.87/1.44 alpha69 [267, 2] (w:1, o:203, a:1, s:1, b:1),
% 0.87/1.44 alpha70 [268, 2] (w:1, o:204, a:1, s:1, b:1),
% 0.87/1.44 alpha71 [269, 2] (w:1, o:205, a:1, s:1, b:1),
% 0.87/1.44 alpha72 [270, 2] (w:1, o:206, a:1, s:1, b:1),
% 0.87/1.44 alpha73 [271, 2] (w:1, o:207, a:1, s:1, b:1),
% 0.87/1.44 alpha74 [272, 2] (w:1, o:208, a:1, s:1, b:1),
% 0.87/1.44 alpha75 [273, 2] (w:1, o:209, a:1, s:1, b:1),
% 0.87/1.44 alpha76 [274, 2] (w:1, o:210, a:1, s:1, b:1),
% 0.87/1.44 alpha77 [275, 2] (w:1, o:211, a:1, s:1, b:1),
% 0.87/1.44 alpha78 [276, 2] (w:1, o:212, a:1, s:1, b:1),
% 0.87/1.44 alpha79 [277, 2] (w:1, o:213, a:1, s:1, b:1),
% 0.87/1.44 alpha80 [278, 2] (w:1, o:214, a:1, s:1, b:1),
% 0.87/1.44 alpha81 [279, 3] (w:1, o:249, a:1, s:1, b:1),
% 0.87/1.44 skol1 [280, 2] (w:1, o:155, a:1, s:1, b:1),
% 0.87/1.44 skol2 [281, 2] (w:1, o:157, a:1, s:1, b:1),
% 0.87/1.44 skol3 [282, 1] (w:1, o:127, a:1, s:1, b:1),
% 0.87/1.44 skol4 [283, 6] (w:1, o:360, a:1, s:1, b:1),
% 0.87/1.44 skol5 [284, 6] (w:1, o:361, a:1, s:1, b:1),
% 0.87/1.44 skol6 [285, 5] (w:1, o:346, a:1, s:1, b:1),
% 0.87/1.44 skol7 [286, 6] (w:1, o:362, a:1, s:1, b:1),
% 0.87/1.44 skol8 [287, 6] (w:1, o:364, a:1, s:1, b:1),
% 0.87/1.44 skol9 [288, 6] (w:1, o:367, a:1, s:1, b:1),
% 0.87/1.44 skol10 [289, 3] (w:1, o:250, a:1, s:1, b:1),
% 0.87/1.44 skol11 [290, 0] (w:1, o:42, a:1, s:1, b:1),
% 0.87/1.44 skol12 [291, 5] (w:1, o:347, a:1, s:1, b:1),
% 0.87/1.44 skol13 [292, 3] (w:1, o:251, a:1, s:1, b:1),
% 0.87/1.44 skol14 [293, 3] (w:1, o:252, a:1, s:1, b:1),
% 0.87/1.44 skol15 [294, 2] (w:1, o:156, a:1, s:1, b:1),
% 0.87/1.44 skol16 [295, 4] (w:1, o:303, a:1, s:1, b:1),
% 0.87/1.44 skol17 [296, 3] (w:1, o:253, a:1, s:1, b:1),
% 0.87/1.44 skol18 [297, 4] (w:1, o:304, a:1, s:1, b:1),
% 6.93/7.36 skol19 [298, 4] (w:1, o:305, a:1, s:1, b:1),
% 6.93/7.36 skol20 [299, 6] (w:1, o:369, a:1, s:1, b:1),
% 6.93/7.36 skol21 [300, 6] (w:1, o:370, a:1, s:1, b:1),
% 6.93/7.36 skol22 [301, 6] (w:1, o:371, a:1, s:1, b:1),
% 6.93/7.36 skol23 [302, 7] (w:1, o:375, a:1, s:1, b:1),
% 6.93/7.36 skol24 [303, 4] (w:1, o:306, a:1, s:1, b:1),
% 6.93/7.36 skol25 [304, 3] (w:1, o:254, a:1, s:1, b:1),
% 6.93/7.36 skol26 [305, 5] (w:1, o:348, a:1, s:1, b:1),
% 6.93/7.36 skol27 [306, 4] (w:1, o:307, a:1, s:1, b:1),
% 6.93/7.36 skol28 [307, 4] (w:1, o:308, a:1, s:1, b:1),
% 6.93/7.36 skol29 [308, 3] (w:1, o:255, a:1, s:1, b:1),
% 6.93/7.36 skol30 [309, 4] (w:1, o:309, a:1, s:1, b:1),
% 6.93/7.36 skol31 [310, 4] (w:1, o:310, a:1, s:1, b:1),
% 6.93/7.36 skol32 [311, 4] (w:1, o:311, a:1, s:1, b:1),
% 6.93/7.36 skol33 [312, 4] (w:1, o:312, a:1, s:1, b:1),
% 6.93/7.36 skol34 [313, 3] (w:1, o:256, a:1, s:1, b:1),
% 6.93/7.36 skol35 [314, 4] (w:1, o:313, a:1, s:1, b:1),
% 6.93/7.36 skol36 [315, 2] (w:1, o:158, a:1, s:1, b:1),
% 6.93/7.36 skol37 [316, 4] (w:1, o:314, a:1, s:1, b:1),
% 6.93/7.36 skol38 [317, 4] (w:1, o:315, a:1, s:1, b:1),
% 6.93/7.36 skol39 [318, 2] (w:1, o:159, a:1, s:1, b:1),
% 6.93/7.36 skol40 [319, 2] (w:1, o:160, a:1, s:1, b:1),
% 6.93/7.36 skol41 [320, 2] (w:1, o:161, a:1, s:1, b:1),
% 6.93/7.36 skol42 [321, 2] (w:1, o:162, a:1, s:1, b:1),
% 6.93/7.36 skol43 [322, 4] (w:1, o:316, a:1, s:1, b:1),
% 6.93/7.36 skol44 [323, 2] (w:1, o:163, a:1, s:1, b:1),
% 6.93/7.36 skol45 [324, 4] (w:1, o:317, a:1, s:1, b:1),
% 6.93/7.36 skol46 [325, 4] (w:1, o:318, a:1, s:1, b:1),
% 6.93/7.36 skol47 [326, 3] (w:1, o:257, a:1, s:1, b:1),
% 6.93/7.36 skol48 [327, 3] (w:1, o:258, a:1, s:1, b:1),
% 6.93/7.36 skol49 [328, 4] (w:1, o:319, a:1, s:1, b:1),
% 6.93/7.36 skol50 [329, 3] (w:1, o:259, a:1, s:1, b:1),
% 6.93/7.36 skol51 [330, 3] (w:1, o:260, a:1, s:1, b:1),
% 6.93/7.36 skol52 [331, 4] (w:1, o:320, a:1, s:1, b:1),
% 6.93/7.36 skol53 [332, 4] (w:1, o:321, a:1, s:1, b:1),
% 6.93/7.36 skol54 [333, 2] (w:1, o:164, a:1, s:1, b:1),
% 6.93/7.36 skol55 [334, 2] (w:1, o:165, a:1, s:1, b:1),
% 6.93/7.36 skol56 [335, 4] (w:1, o:322, a:1, s:1, b:1),
% 6.93/7.36 skol57 [336, 3] (w:1, o:261, a:1, s:1, b:1),
% 6.93/7.37 skol58 [337, 2] (w:1, o:166, a:1, s:1, b:1),
% 6.93/7.37 skol59 [338, 3] (w:1, o:262, a:1, s:1, b:1),
% 6.93/7.37 skol60 [339, 4] (w:1, o:323, a:1, s:1, b:1),
% 6.93/7.37 skol61 [340, 2] (w:1, o:167, a:1, s:1, b:1),
% 6.93/7.37 skol62 [341, 2] (w:1, o:168, a:1, s:1, b:1),
% 6.93/7.37 skol63 [342, 2] (w:1, o:169, a:1, s:1, b:1),
% 6.93/7.37 skol64 [343, 2] (w:1, o:170, a:1, s:1, b:1),
% 6.93/7.37 skol65 [344, 5] (w:1, o:349, a:1, s:1, b:1),
% 6.93/7.37 skol66 [345, 7] (w:1, o:376, a:1, s:1, b:1),
% 6.93/7.37 skol67 [346, 3] (w:1, o:263, a:1, s:1, b:1),
% 6.93/7.37 skol68 [347, 4] (w:1, o:324, a:1, s:1, b:1),
% 6.93/7.37 skol69 [348, 4] (w:1, o:325, a:1, s:1, b:1),
% 6.93/7.37 skol70 [349, 5] (w:1, o:350, a:1, s:1, b:1),
% 6.93/7.37 skol71 [350, 0] (w:1, o:43, a:1, s:1, b:1),
% 6.93/7.37 skol72 [351, 0] (w:1, o:44, a:1, s:1, b:1),
% 6.93/7.37 skol73 [352, 2] (w:1, o:171, a:1, s:1, b:1),
% 6.93/7.37 skol74 [353, 1] (w:1, o:128, a:1, s:1, b:1),
% 6.93/7.37 skol75 [354, 1] (w:1, o:129, a:1, s:1, b:1),
% 6.93/7.37 skol76 [355, 3] (w:1, o:264, a:1, s:1, b:1),
% 6.93/7.37 skol77 [356, 5] (w:1, o:351, a:1, s:1, b:1),
% 6.93/7.37 skol78 [357, 4] (w:1, o:326, a:1, s:1, b:1),
% 6.93/7.37 skol79 [358, 6] (w:1, o:363, a:1, s:1, b:1),
% 6.93/7.37 skol80 [359, 6] (w:1, o:365, a:1, s:1, b:1),
% 6.93/7.37 skol81 [360, 6] (w:1, o:366, a:1, s:1, b:1),
% 6.93/7.37 skol82 [361, 7] (w:1, o:377, a:1, s:1, b:1),
% 6.93/7.37 skol83 [362, 3] (w:1, o:265, a:1, s:1, b:1),
% 6.93/7.37 skol84 [363, 3] (w:1, o:266, a:1, s:1, b:1),
% 6.93/7.37 skol85 [364, 4] (w:1, o:327, a:1, s:1, b:1),
% 6.93/7.37 skol86 [365, 2] (w:1, o:172, a:1, s:1, b:1),
% 6.93/7.37 skol87 [366, 2] (w:1, o:173, a:1, s:1, b:1),
% 6.93/7.37 skol88 [367, 4] (w:1, o:328, a:1, s:1, b:1),
% 6.93/7.37 skol89 [368, 4] (w:1, o:329, a:1, s:1, b:1),
% 6.93/7.37 skol90 [369, 2] (w:1, o:174, a:1, s:1, b:1),
% 6.93/7.37 skol91 [370, 2] (w:1, o:175, a:1, s:1, b:1),
% 6.93/7.37 skol92 [371, 2] (w:1, o:176, a:1, s:1, b:1),
% 6.93/7.37 skol93 [372, 7] (w:1, o:378, a:1, s:1, b:1),
% 6.93/7.37 skol94 [373, 0] (w:1, o:45, a:1, s:1, b:1),
% 6.93/7.37 skol95 [374, 0] (w:1, o:46, a:1, s:1, b:1),
% 6.93/7.37 skol96 [375, 3] (w:1, o:267, a:1, s:1, b:1),
% 6.93/7.37 skol97 [376, 6] (w:1, o:372, a:1, s:1, b:1),
% 32.69/33.05 skol98 [377, 3] (w:1, o:268, a:1, s:1, b:1),
% 32.69/33.05 skol99 [378, 2] (w:1, o:177, a:1, s:1, b:1),
% 32.69/33.05 skol100 [379, 6] (w:1, o:368, a:1, s:1, b:1).
% 32.69/33.05
% 32.69/33.05
% 32.69/33.05 Starting Search:
% 32.69/33.05
% 32.69/33.05 *** allocated 75937 integers for clauses
% 32.69/33.05 *** allocated 113905 integers for clauses
% 32.69/33.05 Resimplifying inuse:
% 32.69/33.05 Done
% 32.69/33.05
% 32.69/33.05 *** allocated 170857 integers for clauses
% 32.69/33.05
% 32.69/33.05 Intermediate Status:
% 32.69/33.05 Generated: 3171
% 32.69/33.05 Kept: 2005
% 32.69/33.05 Inuse: 106
% 32.69/33.05 Deleted: 0
% 32.69/33.05 Deletedinuse: 0
% 32.69/33.05
% 32.69/33.05 Resimplifying inuse:
% 32.69/33.05 Done
% 32.69/33.05
% 32.69/33.05 *** allocated 113905 integers for termspace/termends
% 32.69/33.05 *** allocated 256285 integers for clauses
% 32.69/33.05 Resimplifying inuse:
% 32.69/33.05 Done
% 32.69/33.05
% 32.69/33.05 *** allocated 170857 integers for termspace/termends
% 32.69/33.05
% 32.69/33.05 Intermediate Status:
% 32.69/33.05 Generated: 7679
% 32.69/33.05 Kept: 4039
% 32.69/33.05 Inuse: 211
% 32.69/33.05 Deleted: 0
% 32.69/33.05 Deletedinuse: 0
% 32.69/33.05
% 32.69/33.05 Resimplifying inuse:
% 32.69/33.05 Done
% 32.69/33.05
% 32.69/33.05 *** allocated 384427 integers for clauses
% 32.69/33.05 *** allocated 256285 integers for termspace/termends
% 32.69/33.05 Resimplifying inuse:
% 32.69/33.05 Done
% 32.69/33.05
% 32.69/33.05
% 32.69/33.05 Intermediate Status:
% 32.69/33.05 Generated: 12840
% 32.69/33.05 Kept: 6077
% 32.69/33.05 Inuse: 291
% 32.69/33.05 Deleted: 1
% 32.69/33.05 Deletedinuse: 1
% 32.69/33.05
% 32.69/33.05 Resimplifying inuse:
% 32.69/33.05 Done
% 32.69/33.05
% 32.69/33.05 Resimplifying inuse:
% 32.69/33.05 Done
% 32.69/33.05
% 32.69/33.05 *** allocated 576640 integers for clauses
% 32.69/33.05 *** allocated 384427 integers for termspace/termends
% 32.69/33.05
% 32.69/33.05 Intermediate Status:
% 32.69/33.05 Generated: 17050
% 32.69/33.05 Kept: 8153
% 32.69/33.05 Inuse: 346
% 32.69/33.05 Deleted: 1
% 32.69/33.05 Deletedinuse: 1
% 32.69/33.05
% 32.69/33.05 Resimplifying inuse:
% 32.69/33.05 Done
% 32.69/33.05
% 32.69/33.05 *** allocated 576640 integers for termspace/termends
% 32.69/33.05
% 32.69/33.05 Intermediate Status:
% 32.69/33.05 Generated: 29527
% 32.69/33.05 Kept: 10791
% 32.69/33.05 Inuse: 361
% 32.69/33.05 Deleted: 1
% 32.69/33.05 Deletedinuse: 1
% 32.69/33.05
% 32.69/33.05 Resimplifying inuse:
% 32.69/33.05 Done
% 32.69/33.05
% 32.69/33.05 Resimplifying inuse:
% 32.69/33.05 Done
% 32.69/33.05
% 32.69/33.05 *** allocated 864960 integers for clauses
% 32.69/33.05
% 32.69/33.05 Intermediate Status:
% 32.69/33.05 Generated: 33768
% 32.69/33.05 Kept: 12791
% 32.69/33.05 Inuse: 417
% 32.69/33.05 Deleted: 1
% 32.69/33.05 Deletedinuse: 1
% 32.69/33.05
% 32.69/33.05 Resimplifying inuse:
% 32.69/33.05 Done
% 32.69/33.05
% 32.69/33.05 Resimplifying inuse:
% 32.69/33.05 Done
% 32.69/33.05
% 32.69/33.05
% 32.69/33.05 Intermediate Status:
% 32.69/33.05 Generated: 38848
% 32.69/33.05 Kept: 14911
% 32.69/33.05 Inuse: 451
% 32.69/33.05 Deleted: 1
% 32.69/33.05 Deletedinuse: 1
% 32.69/33.05
% 32.69/33.05 Resimplifying inuse:
% 32.69/33.05 Done
% 32.69/33.05
% 32.69/33.05 Resimplifying inuse:
% 32.69/33.05 Done
% 32.69/33.05
% 32.69/33.05 *** allocated 864960 integers for termspace/termends
% 32.69/33.05
% 32.69/33.05 Intermediate Status:
% 32.69/33.05 Generated: 45770
% 32.69/33.05 Kept: 16975
% 32.69/33.05 Inuse: 471
% 32.69/33.05 Deleted: 1
% 32.69/33.05 Deletedinuse: 1
% 32.69/33.05
% 32.69/33.05 Resimplifying inuse:
% 32.69/33.05 Done
% 32.69/33.05
% 32.69/33.05 *** allocated 1297440 integers for clauses
% 32.69/33.05
% 32.69/33.05 Intermediate Status:
% 32.69/33.05 Generated: 62348
% 32.69/33.05 Kept: 19958
% 32.69/33.05 Inuse: 481
% 32.69/33.05 Deleted: 1
% 32.69/33.05 Deletedinuse: 1
% 32.69/33.05
% 32.69/33.05 Resimplifying inuse:
% 32.69/33.05 Done
% 32.69/33.05
% 32.69/33.05 Resimplifying clauses:
% 32.69/33.05 Done
% 32.69/33.05
% 32.69/33.05 Resimplifying inuse:
% 32.69/33.05 Done
% 32.69/33.05
% 32.69/33.05
% 32.69/33.05 Intermediate Status:
% 32.69/33.05 Generated: 67488
% 32.69/33.05 Kept: 22093
% 32.69/33.05 Inuse: 536
% 32.69/33.05 Deleted: 75
% 32.69/33.05 Deletedinuse: 1
% 32.69/33.05
% 32.69/33.05 Resimplifying inuse:
% 32.69/33.05 Done
% 32.69/33.05
% 32.69/33.05 Resimplifying inuse:
% 32.69/33.05 Done
% 32.69/33.05
% 32.69/33.05
% 32.69/33.05 Intermediate Status:
% 32.69/33.05 Generated: 73270
% 32.69/33.05 Kept: 24363
% 32.69/33.05 Inuse: 561
% 32.69/33.05 Deleted: 75
% 32.69/33.05 Deletedinuse: 1
% 32.69/33.05
% 32.69/33.05 Resimplifying inuse:
% 32.69/33.05 Done
% 32.69/33.05
% 32.69/33.05 *** allocated 1297440 integers for termspace/termends
% 32.69/33.05 Resimplifying inuse:
% 32.69/33.05 Done
% 32.69/33.05
% 32.69/33.05
% 32.69/33.05 Intermediate Status:
% 32.69/33.05 Generated: 78926
% 32.69/33.05 Kept: 26447
% 32.69/33.05 Inuse: 591
% 32.69/33.05 Deleted: 75
% 32.69/33.05 Deletedinuse: 1
% 32.69/33.05
% 32.69/33.05 Resimplifying inuse:
% 32.69/33.05 Done
% 32.69/33.05
% 32.69/33.05 Resimplifying inuse:
% 32.69/33.05 Done
% 32.69/33.05
% 32.69/33.05
% 32.69/33.05 Intermediate Status:
% 32.69/33.05 Generated: 83002
% 32.69/33.05 Kept: 28701
% 32.69/33.05 Inuse: 626
% 32.69/33.05 Deleted: 75
% 32.69/33.05 Deletedinuse: 1
% 32.69/33.05
% 32.69/33.05 Resimplifying inuse:
% 32.69/33.05 Done
% 32.69/33.05
% 32.69/33.05 *** allocated 1946160 integers for clauses
% 32.69/33.05 Resimplifying inuse:
% 32.69/33.05 Done
% 32.69/33.05
% 32.69/33.05
% 32.69/33.05 Intermediate Status:
% 32.69/33.05 Generated: 88865
% 32.69/33.05 Kept: 31650
% 32.69/33.05 Inuse: 656
% 32.69/33.05 Deleted: 75
% 32.69/33.05 Deletedinuse: 1
% 32.69/33.05
% 32.69/33.05 Resimplifying inuse:
% 32.69/33.05 Done
% 32.69/33.05
% 32.69/33.05 Resimplifying inuse:
% 32.69/33.05 Done
% 32.69/33.05
% 32.69/33.05
% 32.69/33.05 Intermediate Status:
% 32.69/33.05 Generated: 92837
% 32.69/33.05 Kept: 33720
% 32.69/33.05 Inuse: 684
% 32.69/33.05 Deleted: 78
% 32.69/33.05 Deletedinuse: 2
% 32.69/33.05
% 32.69/33.05 Resimplifying inuse:
% 32.69/33.05 Done
% 32.69/33.05
% 32.69/33.05 Resimplifying inuse:
% 32.69/33.05 Done
% 32.69/33.05
% 32.69/33.05
% 32.69/33.05 Intermediate Status:
% 32.69/33.05 Generated: 97193
% 32.69/33.05 Kept: 36018
% 32.69/33.05 Inuse: 709
% 32.69/33.05 Deleted: 78
% 32.69/33.05 Deletedinuse: 2
% 32.69/33.05
% 32.69/33.05 Resimplifying inuse:
% 32.69/33.05 Done
% 32.69/33.05
% 32.69/33.05 Resimplifying inuse:
% 32.69/33.05 Done
% 32.69/33.05
% 32.69/33.05
% 32.69/33.05 Intermediate Status:
% 32.69/33.05 Generated: 102363
% 32.69/33.05 Kept: 38222
% 32.69/33.05 Inuse: 739
% 32.69/33.05 Deleted: 78
% 32.69/33.05 Deletedinuse: 2
% 32.69/33.05
% 32.69/33.05 Resimplifying inuse:
% 32.69/33.05 Done
% 32.69/33.05
% 32.69/33.05 *** allocated 1946160 integers for termspace/termends
% 32.69/33.05 Resimplifying inuse:
% 32.69/33.05 Done
% 32.69/33.05
% 32.69/33.05 Resimplifying clauses:
% 32.69/33.05 Done
% 32.69/33.05
% 32.69/33.05
% 32.69/33.05 Intermediate Status:
% 32.69/33.05 Generated: 108815
% 32.69/33.05 Kept: 40223
% 32.69/33.05 Inuse: 761
% 32.69/33.05 Deleted: 419
% 32.69/33.05 Deletedinuse: 2
% 32.69/33.05
% 32.69/33.05 Resimplifying inuse:
% 32.69/33.05 Done
% 32.69/33.05
% 32.69/33.05 Resimplifying inuse:
% 32.69/33.05 Done
% 32.69/33.05
% 32.69/33.05
% 32.69/33.05 Intermediate Status:
% 32.69/33.05 Generated: 112638
% 109.87/110.28 Kept: 42543
% 109.87/110.28 Inuse: 796
% 109.87/110.28 Deleted: 419
% 109.87/110.28 Deletedinuse: 2
% 109.87/110.28
% 109.87/110.28 Resimplifying inuse:
% 109.87/110.28 Done
% 109.87/110.28
% 109.87/110.28 *** allocated 2919240 integers for clauses
% 109.87/110.28 Resimplifying inuse:
% 109.87/110.28 Done
% 109.87/110.28
% 109.87/110.28
% 109.87/110.28 Intermediate Status:
% 109.87/110.28 Generated: 117439
% 109.87/110.28 Kept: 44543
% 109.87/110.28 Inuse: 822
% 109.87/110.28 Deleted: 419
% 109.87/110.28 Deletedinuse: 2
% 109.87/110.28
% 109.87/110.28 Resimplifying inuse:
% 109.87/110.28 Done
% 109.87/110.28
% 109.87/110.28 Resimplifying inuse:
% 109.87/110.28 Done
% 109.87/110.28
% 109.87/110.28
% 109.87/110.28 Intermediate Status:
% 109.87/110.28 Generated: 123737
% 109.87/110.28 Kept: 46587
% 109.87/110.28 Inuse: 847
% 109.87/110.28 Deleted: 420
% 109.87/110.28 Deletedinuse: 2
% 109.87/110.28
% 109.87/110.28 Resimplifying inuse:
% 109.87/110.28 Done
% 109.87/110.28
% 109.87/110.28
% 109.87/110.28 Intermediate Status:
% 109.87/110.28 Generated: 130544
% 109.87/110.28 Kept: 49354
% 109.87/110.28 Inuse: 860
% 109.87/110.28 Deleted: 420
% 109.87/110.28 Deletedinuse: 2
% 109.87/110.28
% 109.87/110.28 Resimplifying inuse:
% 109.87/110.28 Done
% 109.87/110.28
% 109.87/110.28 Resimplifying inuse:
% 109.87/110.28 Done
% 109.87/110.28
% 109.87/110.28
% 109.87/110.28 Intermediate Status:
% 109.87/110.28 Generated: 136884
% 109.87/110.28 Kept: 52105
% 109.87/110.28 Inuse: 875
% 109.87/110.28 Deleted: 420
% 109.87/110.28 Deletedinuse: 2
% 109.87/110.28
% 109.87/110.28 Resimplifying inuse:
% 109.87/110.28 Done
% 109.87/110.28
% 109.87/110.28 Resimplifying inuse:
% 109.87/110.28 Done
% 109.87/110.28
% 109.87/110.28 *** allocated 2919240 integers for termspace/termends
% 109.87/110.28
% 109.87/110.28 Intermediate Status:
% 109.87/110.28 Generated: 142374
% 109.87/110.28 Kept: 54641
% 109.87/110.28 Inuse: 895
% 109.87/110.28 Deleted: 420
% 109.87/110.28 Deletedinuse: 2
% 109.87/110.28
% 109.87/110.28 Resimplifying inuse:
% 109.87/110.28 Done
% 109.87/110.28
% 109.87/110.28 Resimplifying inuse:
% 109.87/110.28 Done
% 109.87/110.28
% 109.87/110.28
% 109.87/110.28 Intermediate Status:
% 109.87/110.28 Generated: 147629
% 109.87/110.28 Kept: 56888
% 109.87/110.28 Inuse: 905
% 109.87/110.28 Deleted: 420
% 109.87/110.28 Deletedinuse: 2
% 109.87/110.28
% 109.87/110.28 Resimplifying inuse:
% 109.87/110.28 Done
% 109.87/110.28
% 109.87/110.28 Resimplifying inuse:
% 109.87/110.28 Done
% 109.87/110.28
% 109.87/110.28
% 109.87/110.28 Intermediate Status:
% 109.87/110.28 Generated: 151986
% 109.87/110.28 Kept: 58931
% 109.87/110.28 Inuse: 918
% 109.87/110.28 Deleted: 420
% 109.87/110.28 Deletedinuse: 2
% 109.87/110.28
% 109.87/110.28 Resimplifying inuse:
% 109.87/110.28 Done
% 109.87/110.28
% 109.87/110.28 Resimplifying clauses:
% 109.87/110.28 Done
% 109.87/110.28
% 109.87/110.28 Resimplifying inuse:
% 109.87/110.28 Done
% 109.87/110.28
% 109.87/110.28
% 109.87/110.28 Intermediate Status:
% 109.87/110.28 Generated: 159265
% 109.87/110.28 Kept: 61587
% 109.87/110.28 Inuse: 930
% 109.87/110.28 Deleted: 458
% 109.87/110.28 Deletedinuse: 2
% 109.87/110.28
% 109.87/110.28 Resimplifying inuse:
% 109.87/110.28 Done
% 109.87/110.28
% 109.87/110.28 Resimplifying inuse:
% 109.87/110.28 Done
% 109.87/110.28
% 109.87/110.28 *** allocated 4378860 integers for clauses
% 109.87/110.28
% 109.87/110.28 Intermediate Status:
% 109.87/110.28 Generated: 168794
% 109.87/110.28 Kept: 64791
% 109.87/110.28 Inuse: 940
% 109.87/110.28 Deleted: 458
% 109.87/110.28 Deletedinuse: 2
% 109.87/110.28
% 109.87/110.28 Resimplifying inuse:
% 109.87/110.28 Done
% 109.87/110.28
% 109.87/110.28
% 109.87/110.28 Intermediate Status:
% 109.87/110.28 Generated: 175395
% 109.87/110.28 Kept: 66952
% 109.87/110.28 Inuse: 945
% 109.87/110.28 Deleted: 458
% 109.87/110.28 Deletedinuse: 2
% 109.87/110.28
% 109.87/110.28 Resimplifying inuse:
% 109.87/110.28 Done
% 109.87/110.28
% 109.87/110.28 Resimplifying inuse:
% 109.87/110.28 Done
% 109.87/110.28
% 109.87/110.28
% 109.87/110.28 Intermediate Status:
% 109.87/110.28 Generated: 183348
% 109.87/110.28 Kept: 69837
% 109.87/110.28 Inuse: 984
% 109.87/110.28 Deleted: 459
% 109.87/110.28 Deletedinuse: 2
% 109.87/110.28
% 109.87/110.28 Resimplifying inuse:
% 109.87/110.28 Done
% 109.87/110.28
% 109.87/110.28 Resimplifying inuse:
% 109.87/110.28 Done
% 109.87/110.28
% 109.87/110.28 *** allocated 4378860 integers for termspace/termends
% 109.87/110.28
% 109.87/110.28 Intermediate Status:
% 109.87/110.28 Generated: 192195
% 109.87/110.28 Kept: 71910
% 109.87/110.28 Inuse: 998
% 109.87/110.28 Deleted: 460
% 109.87/110.28 Deletedinuse: 2
% 109.87/110.28
% 109.87/110.28 Resimplifying inuse:
% 109.87/110.28 Done
% 109.87/110.28
% 109.87/110.28 Resimplifying inuse:
% 109.87/110.28 Done
% 109.87/110.28
% 109.87/110.28
% 109.87/110.28 Intermediate Status:
% 109.87/110.28 Generated: 196941
% 109.87/110.28 Kept: 74558
% 109.87/110.28 Inuse: 1028
% 109.87/110.28 Deleted: 460
% 109.87/110.28 Deletedinuse: 2
% 109.87/110.28
% 109.87/110.28 Resimplifying inuse:
% 109.87/110.28 Done
% 109.87/110.28
% 109.87/110.28 Resimplifying inuse:
% 109.87/110.28 Done
% 109.87/110.28
% 109.87/110.28
% 109.87/110.28 Intermediate Status:
% 109.87/110.28 Generated: 201807
% 109.87/110.28 Kept: 77004
% 109.87/110.28 Inuse: 1054
% 109.87/110.28 Deleted: 464
% 109.87/110.28 Deletedinuse: 2
% 109.87/110.28
% 109.87/110.28 Resimplifying inuse:
% 109.87/110.28 Done
% 109.87/110.28
% 109.87/110.28 Resimplifying inuse:
% 109.87/110.28 Done
% 109.87/110.28
% 109.87/110.28
% 109.87/110.28 Intermediate Status:
% 109.87/110.28 Generated: 205446
% 109.87/110.28 Kept: 79169
% 109.87/110.28 Inuse: 1079
% 109.87/110.28 Deleted: 465
% 109.87/110.28 Deletedinuse: 3
% 109.87/110.28
% 109.87/110.28 Resimplifying inuse:
% 109.87/110.28 Done
% 109.87/110.28
% 109.87/110.28 Resimplifying inuse:
% 109.87/110.28 Done
% 109.87/110.28
% 109.87/110.28 Resimplifying clauses:
% 109.87/110.28 Done
% 109.87/110.28
% 109.87/110.28
% 109.87/110.28 Intermediate Status:
% 109.87/110.28 Generated: 216359
% 109.87/110.28 Kept: 83109
% 109.87/110.28 Inuse: 1089
% 109.87/110.28 Deleted: 585
% 109.87/110.28 Deletedinuse: 3
% 109.87/110.28
% 109.87/110.28 Resimplifying inuse:
% 109.87/110.28 Done
% 109.87/110.28
% 109.87/110.28 Resimplifying inuse:
% 109.87/110.28 Done
% 109.87/110.28
% 109.87/110.28
% 109.87/110.28 Intermediate Status:
% 109.87/110.28 Generated: 223131
% 109.87/110.28 Kept: 86182
% 109.87/110.28 Inuse: 1124
% 109.87/110.28 Deleted: 585
% 109.87/110.28 Deletedinuse: 3
% 109.87/110.28
% 109.87/110.28 Resimplifying inuse:
% 109.87/110.28 Done
% 109.87/110.28
% 109.87/110.28 Resimplifying inuse:
% 109.87/110.28 Done
% 109.87/110.28
% 109.87/110.28
% 109.87/110.28 Intermediate Status:
% 109.87/110.28 Generated: 228251
% 109.87/110.28 Kept: 88226
% 109.87/110.28 Inuse: 1152
% 109.87/110.28 Deleted: 585
% 109.87/110.28 Deletedinuse: 3
% 109.87/110.28
% 109.87/110.28 Resimplifying inuse:
% 109.87/110.28 Done
% 109.87/110.28
% 109.87/110.28 Resimplifying inuse:
% 109.87/110.28 Done
% 109.87/110.28
% 109.87/110.28
% 109.87/110.28 Intermediate Status:
% 109.87/110.28 Generated: 231424
% 109.87/110.28 Kept: 90321
% 109.87/110.28 Inuse: 1165
% 109.87/110.28 Deleted: 586
% 109.87/110.28 Deletedinuse: 4
% 109.87/110.28
% 109.87/110.28 Resimplifying inuse:
% 109.87/110.28 Done
% 109.87/110.28
% 109.87/110.28 Resimplifying inuse:
% 109.87/110.28 Done
% 109.87/110.28
% 109.87/110.28
% 109.87/110.28 Intermediate Status:
% 109.87/110.28 Generated: 235868
% 109.87/110.28 Kept: 92347
% 109.87/110.28 Inuse: 1185
% 109.87/110.28 Deleted: 586
% 109.87/110.28 Deletedinuse: 4
% 109.87/110.28
% 109.87/110.28 Resimplifying inuse:
% 109.87/110.28 Done
% 109.87/110.28
% 109.87/110.28
% 109.87/110.28 Intermediate Status:
% 109.87/110.28 Generated: 240022
% 109.87/110.28 Kept: 94355
% 109.87/110.28 Inuse: 1203
% 109.87/110.28 Deleted: 586
% 109.87/110.28 Deletedinuse: 4
% 109.87/110.28
% 109.87/110.28 Resimplifying inuse:
% 109.87/110.28 Done
% 109.87/110.28
% 109.87/110.28 *** allocated 6568290 integers for clauses
% 109.87/110.28
% 109.87/110.28 Intermediate Status:
% 109.87/110.28 Generated: 248743
% 109.87/110.28 Kept: 96613
% 109.87/110.28 Inuse: 1214
% 109.87/110.28 Deleted: 586
% 109.87/110.28 Deletedinuse: 4
% 109.87/110.28
% 109.87/110.28 Resimplifying inuse:
% 109.87/110.28 Done
% 109.87/110.28
% 109.87/110.28 Resimplifying inuse:
% 109.87/110.28 Done
% 109.87/110.28
% 109.87/110.28
% 109.87/110.28 Intermediate Status:
% 109.87/110.28 Generated: 258601
% 240.78/241.40 Kept: 100379
% 240.78/241.40 Inuse: 1234
% 240.78/241.40 Deleted: 586
% 240.78/241.40 Deletedinuse: 4
% 240.78/241.40
% 240.78/241.40 Resimplifying inuse:
% 240.78/241.40 Done
% 240.78/241.40
% 240.78/241.40 Resimplifying clauses:
% 240.78/241.40 Done
% 240.78/241.40
% 240.78/241.40 Resimplifying inuse:
% 240.78/241.40 Done
% 240.78/241.40
% 240.78/241.40
% 240.78/241.40 Intermediate Status:
% 240.78/241.40 Generated: 263783
% 240.78/241.40 Kept: 102696
% 240.78/241.40 Inuse: 1254
% 240.78/241.40 Deleted: 604
% 240.78/241.40 Deletedinuse: 4
% 240.78/241.40
% 240.78/241.40 Resimplifying inuse:
% 240.78/241.40 Done
% 240.78/241.40
% 240.78/241.40 Resimplifying inuse:
% 240.78/241.40 Done
% 240.78/241.40
% 240.78/241.40
% 240.78/241.40 Intermediate Status:
% 240.78/241.40 Generated: 269897
% 240.78/241.40 Kept: 105122
% 240.78/241.40 Inuse: 1309
% 240.78/241.40 Deleted: 605
% 240.78/241.40 Deletedinuse: 5
% 240.78/241.40
% 240.78/241.40 Resimplifying inuse:
% 240.78/241.40 Done
% 240.78/241.40
% 240.78/241.40
% 240.78/241.40 Intermediate Status:
% 240.78/241.40 Generated: 278414
% 240.78/241.40 Kept: 108554
% 240.78/241.40 Inuse: 1324
% 240.78/241.40 Deleted: 605
% 240.78/241.40 Deletedinuse: 5
% 240.78/241.40
% 240.78/241.40 Resimplifying inuse:
% 240.78/241.40 Done
% 240.78/241.40
% 240.78/241.40 *** allocated 6568290 integers for termspace/termends
% 240.78/241.40
% 240.78/241.40 Intermediate Status:
% 240.78/241.40 Generated: 284683
% 240.78/241.40 Kept: 110985
% 240.78/241.40 Inuse: 1334
% 240.78/241.40 Deleted: 605
% 240.78/241.40 Deletedinuse: 5
% 240.78/241.40
% 240.78/241.40 Resimplifying inuse:
% 240.78/241.40 Done
% 240.78/241.40
% 240.78/241.40 Resimplifying inuse:
% 240.78/241.40 Done
% 240.78/241.40
% 240.78/241.40
% 240.78/241.40 Intermediate Status:
% 240.78/241.40 Generated: 292045
% 240.78/241.40 Kept: 114218
% 240.78/241.40 Inuse: 1359
% 240.78/241.40 Deleted: 605
% 240.78/241.40 Deletedinuse: 5
% 240.78/241.40
% 240.78/241.40 Resimplifying inuse:
% 240.78/241.40 Done
% 240.78/241.40
% 240.78/241.40
% 240.78/241.40 Intermediate Status:
% 240.78/241.40 Generated: 300050
% 240.78/241.40 Kept: 117225
% 240.78/241.40 Inuse: 1369
% 240.78/241.40 Deleted: 605
% 240.78/241.40 Deletedinuse: 5
% 240.78/241.40
% 240.78/241.40 Resimplifying inuse:
% 240.78/241.40 Done
% 240.78/241.40
% 240.78/241.40 Resimplifying inuse:
% 240.78/241.40 Done
% 240.78/241.40
% 240.78/241.40
% 240.78/241.40 Intermediate Status:
% 240.78/241.40 Generated: 303918
% 240.78/241.40 Kept: 119374
% 240.78/241.40 Inuse: 1384
% 240.78/241.40 Deleted: 605
% 240.78/241.40 Deletedinuse: 5
% 240.78/241.40
% 240.78/241.40 Resimplifying inuse:
% 240.78/241.40 Done
% 240.78/241.40
% 240.78/241.40 Resimplifying inuse:
% 240.78/241.40 Done
% 240.78/241.40
% 240.78/241.40
% 240.78/241.40 Intermediate Status:
% 240.78/241.40 Generated: 307605
% 240.78/241.40 Kept: 121553
% 240.78/241.40 Inuse: 1404
% 240.78/241.40 Deleted: 605
% 240.78/241.40 Deletedinuse: 5
% 240.78/241.40
% 240.78/241.40 Resimplifying clauses:
% 240.78/241.40 Done
% 240.78/241.40
% 240.78/241.40 Resimplifying inuse:
% 240.78/241.40 Done
% 240.78/241.40
% 240.78/241.40 Resimplifying inuse:
% 240.78/241.40 Done
% 240.78/241.40
% 240.78/241.40
% 240.78/241.40 Intermediate Status:
% 240.78/241.40 Generated: 312455
% 240.78/241.40 Kept: 124000
% 240.78/241.40 Inuse: 1429
% 240.78/241.40 Deleted: 750
% 240.78/241.40 Deletedinuse: 5
% 240.78/241.40
% 240.78/241.40 Resimplifying inuse:
% 240.78/241.40 Done
% 240.78/241.40
% 240.78/241.40 Resimplifying inuse:
% 240.78/241.40 Done
% 240.78/241.40
% 240.78/241.40
% 240.78/241.40 Intermediate Status:
% 240.78/241.40 Generated: 318068
% 240.78/241.40 Kept: 126015
% 240.78/241.40 Inuse: 1454
% 240.78/241.40 Deleted: 750
% 240.78/241.40 Deletedinuse: 5
% 240.78/241.40
% 240.78/241.40 Resimplifying inuse:
% 240.78/241.40 Done
% 240.78/241.40
% 240.78/241.40 Resimplifying inuse:
% 240.78/241.40 Done
% 240.78/241.40
% 240.78/241.40
% 240.78/241.40 Intermediate Status:
% 240.78/241.40 Generated: 323084
% 240.78/241.40 Kept: 128664
% 240.78/241.40 Inuse: 1479
% 240.78/241.40 Deleted: 750
% 240.78/241.40 Deletedinuse: 5
% 240.78/241.40
% 240.78/241.40 Resimplifying inuse:
% 240.78/241.40 Done
% 240.78/241.40
% 240.78/241.40
% 240.78/241.40 Intermediate Status:
% 240.78/241.40 Generated: 327341
% 240.78/241.40 Kept: 130880
% 240.78/241.40 Inuse: 1499
% 240.78/241.40 Deleted: 750
% 240.78/241.40 Deletedinuse: 5
% 240.78/241.40
% 240.78/241.40 Resimplifying inuse:
% 240.78/241.40 Done
% 240.78/241.40
% 240.78/241.40 Resimplifying inuse:
% 240.78/241.40 Done
% 240.78/241.40
% 240.78/241.40
% 240.78/241.40 Intermediate Status:
% 240.78/241.40 Generated: 336431
% 240.78/241.40 Kept: 135094
% 240.78/241.40 Inuse: 1519
% 240.78/241.40 Deleted: 750
% 240.78/241.40 Deletedinuse: 5
% 240.78/241.40
% 240.78/241.40 Resimplifying inuse:
% 240.78/241.40 Done
% 240.78/241.40
% 240.78/241.40 Resimplifying inuse:
% 240.78/241.40 Done
% 240.78/241.40
% 240.78/241.40
% 240.78/241.40 Intermediate Status:
% 240.78/241.40 Generated: 340707
% 240.78/241.40 Kept: 137363
% 240.78/241.40 Inuse: 1544
% 240.78/241.40 Deleted: 750
% 240.78/241.40 Deletedinuse: 5
% 240.78/241.40
% 240.78/241.40 Resimplifying inuse:
% 240.78/241.40 Done
% 240.78/241.40
% 240.78/241.40 Resimplifying inuse:
% 240.78/241.40 Done
% 240.78/241.40
% 240.78/241.40
% 240.78/241.40 Intermediate Status:
% 240.78/241.40 Generated: 345252
% 240.78/241.40 Kept: 139732
% 240.78/241.40 Inuse: 1564
% 240.78/241.40 Deleted: 750
% 240.78/241.40 Deletedinuse: 5
% 240.78/241.40
% 240.78/241.40 Resimplifying inuse:
% 240.78/241.40 Done
% 240.78/241.40
% 240.78/241.40 Resimplifying inuse:
% 240.78/241.40 Done
% 240.78/241.40
% 240.78/241.40
% 240.78/241.40 Intermediate Status:
% 240.78/241.40 Generated: 350770
% 240.78/241.40 Kept: 141841
% 240.78/241.40 Inuse: 1604
% 240.78/241.40 Deleted: 750
% 240.78/241.40 Deletedinuse: 5
% 240.78/241.40
% 240.78/241.40 Resimplifying clauses:
% 240.78/241.40 Done
% 240.78/241.40
% 240.78/241.40 Resimplifying inuse:
% 240.78/241.40 Done
% 240.78/241.40
% 240.78/241.40 *** allocated 9852435 integers for clauses
% 240.78/241.40
% 240.78/241.40 Intermediate Status:
% 240.78/241.40 Generated: 355409
% 240.78/241.40 Kept: 144050
% 240.78/241.40 Inuse: 1649
% 240.78/241.40 Deleted: 802
% 240.78/241.40 Deletedinuse: 5
% 240.78/241.40
% 240.78/241.40 Resimplifying inuse:
% 240.78/241.40 Done
% 240.78/241.40
% 240.78/241.40 Resimplifying inuse:
% 240.78/241.40 Done
% 240.78/241.40
% 240.78/241.40
% 240.78/241.40 Intermediate Status:
% 240.78/241.40 Generated: 358244
% 240.78/241.40 Kept: 146147
% 240.78/241.40 Inuse: 1704
% 240.78/241.40 Deleted: 802
% 240.78/241.40 Deletedinuse: 5
% 240.78/241.40
% 240.78/241.40 Resimplifying inuse:
% 240.78/241.40 Done
% 240.78/241.40
% 240.78/241.40 Resimplifying inuse:
% 240.78/241.40 Done
% 240.78/241.40
% 240.78/241.40
% 240.78/241.40 Intermediate Status:
% 240.78/241.40 Generated: 366730
% 240.78/241.40 Kept: 150648
% 240.78/241.40 Inuse: 1744
% 240.78/241.40 Deleted: 802
% 240.78/241.40 Deletedinuse: 5
% 240.78/241.40
% 240.78/241.40 Resimplifying inuse:
% 240.78/241.40 Done
% 240.78/241.40
% 240.78/241.40 Resimplifying inuse:
% 240.78/241.40 Done
% 240.78/241.40
% 240.78/241.40
% 240.78/241.40 Intermediate Status:
% 240.78/241.40 Generated: 370956
% 240.78/241.40 Kept: 152751
% 240.78/241.40 Inuse: 1769
% 240.78/241.40 Deleted: 803
% 240.78/241.40 Deletedinuse: 6
% 240.78/241.40
% 240.78/241.40 Resimplifying inuse:
% 240.78/241.40 Done
% 240.78/241.40
% 240.78/241.40
% 240.78/241.40 Intermediate Status:
% 240.78/241.40 Generated: 383509
% 240.78/241.40 Kept: 155381
% 240.78/241.40 Inuse: 1793
% 240.78/241.40 Deleted: 804
% 240.78/241.40 Deletedinuse: 6
% 240.78/241.40
% 240.78/241.40 Resimplifying inuse:
% 240.78/241.40 Done
% 240.78/241.40
% 240.78/241.40 Resimplifying inuse:
% 240.78/241.40 Done
% 240.78/241.40
% 240.78/241.40
% 240.78/241.40 Intermediate Status:
% 240.78/241.40 Generated: 390233
% 240.78/241.40 Kept: 157416
% 240.78/241.40 Inuse: 1813
% 240.78/241.40 Deleted: 805
% 240.78/241.40 Deletedinuse: 7
% 240.78/241.40
% 240.78/241.40 Resimplifying inuse:
% 240.78/241.40 Done
% 240.78/241.40
% 240.78/241.40
% 240.78/241.40 Intermediate Status:
% 240.78/241.40 Generated: 395720
% 240.78/241.40 Kept: 159714
% 240.78/241.40 Inuse: 1828
% 240.78/241.40 Deleted: 805
% 240.78/241.40 Deletedinuse: 7
% 240.78/241.40
% 240.78/241.40 Resimplifying inuse:
% 240.78/241.40 Done
% 240.78/241.40
% 240.78/241.40 Resimplifying inuse:
% 240.78/241.40 Done
% 240.78/241.40
% 240.78/241.40
% 240.78/241.40 ICputime limit exceeded (core dumped)
%------------------------------------------------------------------------------