TSTP Solution File: SCT109+1 by Bliksem---1.12
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- Process Solution
%------------------------------------------------------------------------------
% File : Bliksem---1.12
% Problem : SCT109+1 : TPTP v8.1.0. Released v5.2.0.
% Transfm : none
% Format : tptp:raw
% Command : bliksem %s
% Computer : n003.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 21:01:18 EDT 2022
% Result : Timeout 300.05s 300.50s
% Output : None
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----No solution output by system
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.10/0.11 % Problem : SCT109+1 : TPTP v8.1.0. Released v5.2.0.
% 0.10/0.11 % Command : bliksem %s
% 0.11/0.31 % Computer : n003.cluster.edu
% 0.11/0.31 % Model : x86_64 x86_64
% 0.11/0.31 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.31 % Memory : 8042.1875MB
% 0.11/0.31 % OS : Linux 3.10.0-693.el7.x86_64
% 0.11/0.32 % CPULimit : 300
% 0.11/0.32 % DateTime : Fri Jul 1 22:46:08 EDT 2022
% 0.11/0.32 % CPUTime :
% 0.88/1.32 *** allocated 10000 integers for termspace/termends
% 0.88/1.32 *** allocated 10000 integers for clauses
% 0.88/1.32 *** allocated 10000 integers for justifications
% 0.88/1.32 *** allocated 15000 integers for termspace/termends
% 0.88/1.32 Bliksem 1.12
% 0.88/1.32
% 0.88/1.32
% 0.88/1.32 Automatic Strategy Selection
% 0.88/1.32
% 0.88/1.32 *** allocated 22500 integers for termspace/termends
% 0.88/1.32 *** allocated 33750 integers for termspace/termends
% 0.88/1.32 *** allocated 50625 integers for termspace/termends
% 0.88/1.32 *** allocated 75937 integers for termspace/termends
% 0.88/1.32
% 0.88/1.32 Clauses:
% 0.88/1.32
% 0.88/1.32 { ! hAPP( Y, skol1( X, Y ) ) = hAPP( X, skol1( X, Y ) ), Y = X }.
% 0.88/1.32 { ! c_member( tc_prod( tc_Arrow__Order__Mirabelle_Oalt,
% 0.88/1.32 tc_Arrow__Order__Mirabelle_Oalt ), c_Product__Type_OPair(
% 0.88/1.32 tc_Arrow__Order__Mirabelle_Oalt, tc_Arrow__Order__Mirabelle_Oalt, T, Z )
% 0.88/1.32 , c_Arrow__Order__Mirabelle_Omktop( Y, X ) ), ! T = X }.
% 0.88/1.32 { ! c_member( tc_prod( tc_Arrow__Order__Mirabelle_Oalt,
% 0.88/1.32 tc_Arrow__Order__Mirabelle_Oalt ), c_Product__Type_OPair(
% 0.88/1.32 tc_Arrow__Order__Mirabelle_Oalt, tc_Arrow__Order__Mirabelle_Oalt, T, Z )
% 0.88/1.32 , c_Arrow__Order__Mirabelle_Omktop( Y, X ) ), alpha20( X, Y, Z, T ) }.
% 0.88/1.32 { T = X, ! alpha20( X, Y, Z, T ), c_member( tc_prod(
% 0.88/1.32 tc_Arrow__Order__Mirabelle_Oalt, tc_Arrow__Order__Mirabelle_Oalt ),
% 0.88/1.32 c_Product__Type_OPair( tc_Arrow__Order__Mirabelle_Oalt,
% 0.88/1.32 tc_Arrow__Order__Mirabelle_Oalt, T, Z ), c_Arrow__Order__Mirabelle_Omktop
% 0.88/1.32 ( Y, X ) ) }.
% 0.88/1.32 { ! alpha20( X, Y, Z, T ), alpha1( X, Z, T ) }.
% 0.88/1.32 { ! alpha20( X, Y, Z, T ), alpha30( X, Y, Z, T ) }.
% 0.88/1.32 { ! alpha1( X, Z, T ), ! alpha30( X, Y, Z, T ), alpha20( X, Y, Z, T ) }.
% 0.88/1.32 { ! alpha30( X, Y, Z, T ), Z = X, c_member( tc_prod(
% 0.88/1.32 tc_Arrow__Order__Mirabelle_Oalt, tc_Arrow__Order__Mirabelle_Oalt ),
% 0.88/1.32 c_Product__Type_OPair( tc_Arrow__Order__Mirabelle_Oalt,
% 0.88/1.32 tc_Arrow__Order__Mirabelle_Oalt, T, Z ), Y ) }.
% 0.88/1.32 { ! Z = X, alpha30( X, Y, Z, T ) }.
% 0.88/1.32 { ! c_member( tc_prod( tc_Arrow__Order__Mirabelle_Oalt,
% 0.88/1.32 tc_Arrow__Order__Mirabelle_Oalt ), c_Product__Type_OPair(
% 0.88/1.32 tc_Arrow__Order__Mirabelle_Oalt, tc_Arrow__Order__Mirabelle_Oalt, T, Z )
% 0.88/1.32 , Y ), alpha30( X, Y, Z, T ) }.
% 0.88/1.32 { ! alpha1( X, Y, Z ), ! Y = X, ! Z = Y }.
% 0.88/1.32 { Y = X, alpha1( X, Y, Z ) }.
% 0.88/1.32 { Z = Y, alpha1( X, Y, Z ) }.
% 0.88/1.32 { ! Y = X, alpha39( X, Y, Z, T ), ! c_member( T, Z, Y ) }.
% 0.88/1.32 { ! Y = X, alpha39( X, Y, Z, T ), ! c_member( T, Z, X ) }.
% 0.88/1.32 { ! alpha39( X, Y, Z, T ), c_member( T, Z, Y ) }.
% 0.88/1.32 { ! alpha39( X, Y, Z, T ), c_member( T, Z, X ) }.
% 0.88/1.32 { ! c_member( T, Z, Y ), ! c_member( T, Z, X ), alpha39( X, Y, Z, T ) }.
% 0.88/1.32 { ! hBOOL( hAPP( hAPP( c_FunDef_Oin__rel( U, T, Z ), Y ), X ) ), c_member(
% 0.88/1.32 tc_prod( U, T ), c_Product__Type_OPair( U, T, Y, X ), Z ) }.
% 0.88/1.32 { ! c_member( tc_prod( U, T ), c_Product__Type_OPair( U, T, Y, X ), Z ),
% 0.88/1.32 hBOOL( hAPP( hAPP( c_FunDef_Oin__rel( U, T, Z ), Y ), X ) ) }.
% 0.88/1.32 { ! hBOOL( hAPP( Y, X ) ), ! c_member( tc_prod( W, W ),
% 0.88/1.32 c_Product__Type_OPair( W, W, U, T ), hAPP( Z, X ) ), c_member( tc_prod(
% 0.88/1.32 tc_prod( V0, W ), tc_prod( V0, W ) ), c_Product__Type_OPair( tc_prod( V0
% 0.88/1.32 , W ), tc_prod( V0, W ), c_Product__Type_OPair( V0, W, X, U ),
% 0.88/1.32 c_Product__Type_OPair( V0, W, X, T ) ), c_Recdef_Osame__fst( V0, W, Y, Z
% 0.88/1.32 ) ) }.
% 0.88/1.32 { ! c_Nitpick_Orefl_H( Y, X ), c_member( tc_prod( Y, Y ),
% 0.88/1.32 c_Product__Type_OPair( Y, Y, Z, Z ), X ) }.
% 0.88/1.32 { ! c_member( tc_prod( Y, Y ), c_Product__Type_OPair( Y, Y, skol2( X, Y ),
% 0.88/1.32 skol2( X, Y ) ), X ), c_Nitpick_Orefl_H( Y, X ) }.
% 0.88/1.32 { ! hBOOL( hAPP( Z, skol3( Z ) ) ), hBOOL( hAPP( Z, c_Product__Type_OPair(
% 0.88/1.32 Y, X, T, U ) ) ) }.
% 0.88/1.32 { ! hBOOL( hAPP( Z, c_Product__Type_OPair( Y, X, skol71( X, Y, Z ), skol89
% 0.88/1.32 ( X, Y, Z ) ) ) ), hBOOL( hAPP( Z, T ) ) }.
% 0.88/1.32 { ! c_Product__Type_OPair( W, U, T, Z ) = c_Product__Type_OPair( W, U, Y, X
% 0.88/1.32 ), T = Y }.
% 0.88/1.32 { ! c_Product__Type_OPair( W, U, T, Z ) = c_Product__Type_OPair( W, U, Y, X
% 0.88/1.32 ), Z = X }.
% 0.88/1.32 { ! T = Y, ! Z = X, c_Product__Type_OPair( W, U, T, Z ) =
% 0.88/1.32 c_Product__Type_OPair( W, U, Y, X ) }.
% 0.88/1.32 { ! c_Product__Type_OPair( W, U, T, Z ) = c_Product__Type_OPair( W, U, Y, X
% 0.88/1.32 ), T = Y }.
% 0.88/1.32 { ! c_Product__Type_OPair( W, U, T, Z ) = c_Product__Type_OPair( W, U, Y, X
% 0.88/1.32 ), Z = X }.
% 0.88/1.32 { ! c_member( Z, Y, X ), hBOOL( hAPP( X, Y ) ) }.
% 0.88/1.32 { ! hBOOL( hAPP( X, Y ) ), c_member( Z, Y, X ) }.
% 0.88/1.32 { ! Y = X, ! c_member( T, X, Z ), c_member( T, Y, Z ) }.
% 0.88/1.32 { ! Y = X, ! c_member( T, Y, Z ), c_member( T, X, Z ) }.
% 0.88/1.32 { ! Y = X, ! c_member( T, X, Z ), c_member( T, Y, Z ) }.
% 0.88/1.32 { ! Y = X, ! c_member( T, Z, Y ), c_member( T, Z, X ) }.
% 0.88/1.32 { ! Y = X, ! c_member( T, Z, X ), c_member( T, Z, Y ) }.
% 0.88/1.32 { c_Product__Type_Oprod_Oprod__rec( W, U, T, Z, c_Product__Type_OPair( W, U
% 0.88/1.32 , Y, X ) ) = hAPP( hAPP( Z, Y ), X ) }.
% 0.88/1.32 { ! c_member( tc_prod( tc_prod( V1, V0 ), tc_prod( V1, V0 ) ),
% 0.88/1.32 c_Product__Type_OPair( tc_prod( V1, V0 ), tc_prod( V1, V0 ),
% 0.88/1.32 c_Product__Type_OPair( V1, V0, W, U ), c_Product__Type_OPair( V1, V0, T,
% 0.88/1.32 Z ) ), c_Wellfounded_Olex__prod( V1, V0, Y, X ) ), c_member( tc_prod( V1
% 0.88/1.32 , V1 ), c_Product__Type_OPair( V1, V1, W, T ), Y ), alpha2( X, Z, T, U, W
% 0.88/1.32 , V0 ) }.
% 0.88/1.32 { ! c_member( tc_prod( V1, V1 ), c_Product__Type_OPair( V1, V1, W, T ), Y )
% 0.88/1.32 , c_member( tc_prod( tc_prod( V1, V0 ), tc_prod( V1, V0 ) ),
% 0.88/1.32 c_Product__Type_OPair( tc_prod( V1, V0 ), tc_prod( V1, V0 ),
% 0.88/1.32 c_Product__Type_OPair( V1, V0, W, U ), c_Product__Type_OPair( V1, V0, T,
% 0.88/1.32 Z ) ), c_Wellfounded_Olex__prod( V1, V0, Y, X ) ) }.
% 0.88/1.32 { ! alpha2( X, Z, T, U, W, V0 ), c_member( tc_prod( tc_prod( V1, V0 ),
% 0.88/1.32 tc_prod( V1, V0 ) ), c_Product__Type_OPair( tc_prod( V1, V0 ), tc_prod(
% 0.88/1.32 V1, V0 ), c_Product__Type_OPair( V1, V0, W, U ), c_Product__Type_OPair(
% 0.88/1.32 V1, V0, T, Z ) ), c_Wellfounded_Olex__prod( V1, V0, Y, X ) ) }.
% 0.88/1.32 { ! alpha2( X, Y, Z, T, U, W ), U = Z }.
% 0.88/1.32 { ! alpha2( X, Y, Z, T, U, W ), c_member( tc_prod( W, W ),
% 0.88/1.32 c_Product__Type_OPair( W, W, T, Y ), X ) }.
% 0.88/1.32 { ! U = Z, ! c_member( tc_prod( W, W ), c_Product__Type_OPair( W, W, T, Y )
% 0.88/1.32 , X ), alpha2( X, Y, Z, T, U, W ) }.
% 0.88/1.32 { ! c_member( tc_fun( tc_prod( tc_Arrow__Order__Mirabelle_Oalt,
% 0.88/1.32 tc_Arrow__Order__Mirabelle_Oalt ), tc_HOL_Obool ), X,
% 0.88/1.32 c_Arrow__Order__Mirabelle_OLin ), ! c_member( tc_prod(
% 0.88/1.32 tc_Arrow__Order__Mirabelle_Oalt, tc_Arrow__Order__Mirabelle_Oalt ),
% 0.88/1.32 c_Product__Type_OPair( tc_Arrow__Order__Mirabelle_Oalt,
% 0.88/1.32 tc_Arrow__Order__Mirabelle_Oalt, Z, Y ), X ), ! c_member( tc_prod(
% 0.88/1.32 tc_Arrow__Order__Mirabelle_Oalt, tc_Arrow__Order__Mirabelle_Oalt ),
% 0.88/1.32 c_Product__Type_OPair( tc_Arrow__Order__Mirabelle_Oalt,
% 0.88/1.32 tc_Arrow__Order__Mirabelle_Oalt, Y, Z ), X ) }.
% 0.88/1.32 { ! c_member( tc_fun( tc_prod( tc_Arrow__Order__Mirabelle_Oalt,
% 0.88/1.32 tc_Arrow__Order__Mirabelle_Oalt ), tc_HOL_Obool ), X,
% 0.88/1.32 c_Arrow__Order__Mirabelle_OLin ), Z = Y, c_member( tc_prod(
% 0.88/1.32 tc_Arrow__Order__Mirabelle_Oalt, tc_Arrow__Order__Mirabelle_Oalt ),
% 0.88/1.32 c_Product__Type_OPair( tc_Arrow__Order__Mirabelle_Oalt,
% 0.88/1.32 tc_Arrow__Order__Mirabelle_Oalt, Z, Y ), X ), c_member( tc_prod(
% 0.88/1.32 tc_Arrow__Order__Mirabelle_Oalt, tc_Arrow__Order__Mirabelle_Oalt ),
% 0.88/1.32 c_Product__Type_OPair( tc_Arrow__Order__Mirabelle_Oalt,
% 0.88/1.32 tc_Arrow__Order__Mirabelle_Oalt, Y, Z ), X ) }.
% 0.88/1.32 { ! c_member( tc_fun( tc_prod( tc_Arrow__Order__Mirabelle_Oalt,
% 0.88/1.32 tc_Arrow__Order__Mirabelle_Oalt ), tc_HOL_Obool ), X,
% 0.88/1.32 c_Arrow__Order__Mirabelle_OLin ), Z = Y, ! c_member( tc_prod(
% 0.88/1.32 tc_Arrow__Order__Mirabelle_Oalt, tc_Arrow__Order__Mirabelle_Oalt ),
% 0.88/1.32 c_Product__Type_OPair( tc_Arrow__Order__Mirabelle_Oalt,
% 0.88/1.32 tc_Arrow__Order__Mirabelle_Oalt, Y, Z ), X ), ! c_member( tc_prod(
% 0.88/1.32 tc_Arrow__Order__Mirabelle_Oalt, tc_Arrow__Order__Mirabelle_Oalt ),
% 0.88/1.32 c_Product__Type_OPair( tc_Arrow__Order__Mirabelle_Oalt,
% 0.88/1.32 tc_Arrow__Order__Mirabelle_Oalt, Z, Y ), X ) }.
% 0.88/1.32 { c_Product__Type_Ointernal__split( W, U, T, Z, c_Product__Type_OPair( W, U
% 0.88/1.32 , Y, X ) ) = hAPP( hAPP( Z, Y ), X ) }.
% 0.88/1.32 { ! c_Recdef_Owfrec__rel( W, U, T, Z, Y, hAPP( hAPP( Z, X ), Y ) ), hAPP(
% 0.88/1.32 hAPP( Z, X ), Y ) = hAPP( hAPP( Z, skol4( X, Y, Z, V0, V1, V2 ) ), Y ) }
% 0.88/1.32 .
% 0.88/1.32 { ! c_Recdef_Owfrec__rel( W, U, T, Z, Y, hAPP( hAPP( Z, X ), Y ) ), alpha3
% 0.88/1.32 ( Y, Z, T, U, W, skol4( X, Y, Z, T, U, W ) ) }.
% 0.88/1.32 { ! hAPP( hAPP( Z, X ), Y ) = hAPP( hAPP( Z, V0 ), Y ), ! alpha3( Y, Z, T,
% 0.88/1.32 U, W, V0 ), c_Recdef_Owfrec__rel( W, U, T, Z, Y, hAPP( hAPP( Z, X ), Y )
% 0.88/1.32 ) }.
% 0.88/1.32 { ! alpha3( X, Y, Z, T, U, W ), ! c_member( tc_prod( U, U ),
% 0.88/1.32 c_Product__Type_OPair( U, U, V0, X ), Z ), c_Recdef_Owfrec__rel( U, T, Z
% 0.88/1.32 , Y, V0, hAPP( W, V0 ) ) }.
% 0.88/1.32 { c_member( tc_prod( U, U ), c_Product__Type_OPair( U, U, skol5( X, V0, Z,
% 0.88/1.32 V1, U, V2 ), X ), Z ), alpha3( X, Y, Z, T, U, W ) }.
% 0.88/1.32 { ! c_Recdef_Owfrec__rel( U, T, Z, Y, skol5( X, Y, Z, T, U, W ), hAPP( W,
% 0.88/1.32 skol5( X, Y, Z, T, U, W ) ) ), alpha3( X, Y, Z, T, U, W ) }.
% 0.88/1.32 { ! hBOOL( hAPP( U, c_Product__Type_OPair( T, Z, Y, X ) ) ), hBOOL(
% 0.88/1.32 c_Product__Type_Ocurry( T, Z, tc_HOL_Obool, U, Y, X ) ) }.
% 0.88/1.32 { ! c_member( tc_prod( T, T ), c_Product__Type_OPair( T, T, Z, Y ), X ),
% 0.88/1.32 hAPP( c_Recdef_Ocut( T, W, U, X, Y ), Z ) = hAPP( U, Z ) }.
% 0.88/1.32 { ! c_Recdef_Ocut( W, U, T, Z, Y ) = c_Recdef_Ocut( W, U, X, Z, Y ), !
% 0.88/1.32 c_member( tc_prod( W, W ), c_Product__Type_OPair( W, W, V0, Y ), Z ),
% 0.88/1.32 hAPP( T, V0 ) = hAPP( X, V0 ) }.
% 0.88/1.32 { ! hAPP( T, skol6( X, V0, V1, T, V2 ) ) = hAPP( X, skol6( X, V0, V1, T, V2
% 0.88/1.32 ) ), c_Recdef_Ocut( W, U, T, Z, Y ) = c_Recdef_Ocut( W, U, X, Z, Y ) }.
% 0.88/1.32 { c_member( tc_prod( W, W ), c_Product__Type_OPair( W, W, skol6( X, Y, Z, T
% 0.88/1.32 , W ), Y ), Z ), c_Recdef_Ocut( W, U, T, Z, Y ) = c_Recdef_Ocut( W, U, X
% 0.88/1.32 , Z, Y ) }.
% 0.88/1.32 { ! c_member( tc_prod( Z, Z ), c_Product__Type_OPair( Z, Z, Y, X ), T ),
% 0.88/1.32 hAPP( c_Recdef_Ocut( Z, U, W, T, X ), Y ) = hAPP( W, Y ) }.
% 0.88/1.32 { ! c_member( Z, Y, c_fequal( X ) ), Y = X }.
% 0.88/1.32 { ! Y = X, c_member( Z, Y, c_fequal( X ) ) }.
% 0.88/1.32 { ! hBOOL( c_Product__Type_Ocurry( U, T, tc_HOL_Obool, Z, Y, X ) ), hBOOL(
% 0.88/1.32 hAPP( Z, c_Product__Type_OPair( U, T, Y, X ) ) ) }.
% 0.88/1.32 { ! hBOOL( c_Product__Type_Ocurry( U, T, tc_HOL_Obool, Z, Y, X ) ), hBOOL(
% 0.88/1.32 hAPP( Z, c_Product__Type_OPair( U, T, Y, X ) ) ) }.
% 0.88/1.32 { c_Product__Type_Ocurry( W, U, T, Z, Y, X ) = hAPP( Z,
% 0.88/1.32 c_Product__Type_OPair( W, U, Y, X ) ) }.
% 0.88/1.32 { ! c_Recdef_Owfrec__rel( W, U, T, Z, Y, X ), X = hAPP( hAPP( Z, skol7( X,
% 0.88/1.32 Y, Z, V0, V1, V2 ) ), Y ) }.
% 0.88/1.32 { ! c_Recdef_Owfrec__rel( W, U, T, Z, Y, X ), alpha4( Y, Z, T, U, W, skol7
% 0.88/1.32 ( X, Y, Z, T, U, W ) ) }.
% 0.88/1.32 { ! X = hAPP( hAPP( Z, V0 ), Y ), ! alpha4( Y, Z, T, U, W, V0 ),
% 0.88/1.32 c_Recdef_Owfrec__rel( W, U, T, Z, Y, X ) }.
% 0.88/1.32 { ! alpha4( X, Y, Z, T, U, W ), ! c_member( tc_prod( U, U ),
% 0.88/1.32 c_Product__Type_OPair( U, U, V0, X ), Z ), c_Recdef_Owfrec__rel( U, T, Z
% 0.88/1.32 , Y, V0, hAPP( W, V0 ) ) }.
% 0.88/1.32 { c_member( tc_prod( U, U ), c_Product__Type_OPair( U, U, skol8( X, V0, Z,
% 0.88/1.32 V1, U, V2 ), X ), Z ), alpha4( X, Y, Z, T, U, W ) }.
% 0.88/1.32 { ! c_Recdef_Owfrec__rel( U, T, Z, Y, skol8( X, Y, Z, T, U, W ), hAPP( W,
% 0.88/1.32 skol8( X, Y, Z, T, U, W ) ) ), alpha4( X, Y, Z, T, U, W ) }.
% 0.88/1.32 { c_member( tc_prod( W, W ), c_Product__Type_OPair( W, W, skol9( V0, V1, V2
% 0.88/1.32 , T, U, W ), U ), T ), c_Recdef_Owfrec__rel( W, Z, T, Y, U, hAPP( hAPP( Y
% 0.88/1.32 , X ), U ) ) }.
% 0.88/1.32 { ! c_Recdef_Owfrec__rel( W, Z, T, Y, skol9( X, Y, Z, T, U, W ), hAPP( X,
% 0.88/1.32 skol9( X, Y, Z, T, U, W ) ) ), c_Recdef_Owfrec__rel( W, Z, T, Y, U, hAPP
% 0.88/1.32 ( hAPP( Y, X ), U ) ) }.
% 0.88/1.32 { c_member( tc_fun( tc_prod( tc_Arrow__Order__Mirabelle_Oalt,
% 0.88/1.32 tc_Arrow__Order__Mirabelle_Oalt ), tc_HOL_Obool ), skol10,
% 0.88/1.32 c_Arrow__Order__Mirabelle_OLin ) }.
% 0.88/1.32 { ! c_member( Z, Y, c_Wellfounded_Oacc( Z, X ) ), ! c_member( tc_prod( Z, Z
% 0.88/1.32 ), c_Product__Type_OPair( Z, Z, T, Y ), X ), c_member( Z, T,
% 0.88/1.32 c_Wellfounded_Oacc( Z, X ) ) }.
% 0.88/1.32 { ! c_member( Z, skol11( X, T, Z ), c_Wellfounded_Oacc( Z, X ) ), c_member
% 0.88/1.32 ( Z, Y, c_Wellfounded_Oacc( Z, X ) ) }.
% 0.88/1.32 { c_member( tc_prod( Z, Z ), c_Product__Type_OPair( Z, Z, skol11( X, Y, Z )
% 0.88/1.32 , Y ), X ), c_member( Z, Y, c_Wellfounded_Oacc( Z, X ) ) }.
% 0.88/1.32 { ! c_member( Z, Y, c_Wellfounded_Oacc( Z, X ) ), ! c_member( tc_prod( Z, Z
% 0.88/1.32 ), c_Product__Type_OPair( Z, Z, T, Y ), X ), c_member( Z, T,
% 0.88/1.32 c_Wellfounded_Oacc( Z, X ) ) }.
% 0.88/1.32 { c_Nitpick_Owf__wfrec_H( U, T, Z, Y, X ) = hAPP( hAPP( Y, c_Recdef_Ocut( U
% 0.88/1.32 , T, c_Nitpick_Owf__wfrec( U, T, Z, Y ), Z, X ) ), X ) }.
% 0.88/1.32 { ! c_member( tc_fun( tc_prod( tc_Arrow__Order__Mirabelle_Oalt,
% 0.88/1.32 tc_Arrow__Order__Mirabelle_Oalt ), tc_HOL_Obool ), c_Relation_Oconverse(
% 0.88/1.32 tc_Arrow__Order__Mirabelle_Oalt, tc_Arrow__Order__Mirabelle_Oalt, X ),
% 0.88/1.32 c_Arrow__Order__Mirabelle_OLin ), c_member( tc_fun( tc_prod(
% 0.88/1.32 tc_Arrow__Order__Mirabelle_Oalt, tc_Arrow__Order__Mirabelle_Oalt ),
% 0.88/1.32 tc_HOL_Obool ), X, c_Arrow__Order__Mirabelle_OLin ) }.
% 0.88/1.32 { ! c_member( tc_fun( tc_prod( tc_Arrow__Order__Mirabelle_Oalt,
% 0.88/1.32 tc_Arrow__Order__Mirabelle_Oalt ), tc_HOL_Obool ), X,
% 0.88/1.32 c_Arrow__Order__Mirabelle_OLin ), c_member( tc_fun( tc_prod(
% 0.88/1.32 tc_Arrow__Order__Mirabelle_Oalt, tc_Arrow__Order__Mirabelle_Oalt ),
% 0.88/1.32 tc_HOL_Obool ), c_Relation_Oconverse( tc_Arrow__Order__Mirabelle_Oalt,
% 0.88/1.32 tc_Arrow__Order__Mirabelle_Oalt, X ), c_Arrow__Order__Mirabelle_OLin ) }
% 0.88/1.32 .
% 0.88/1.32 { ! c_member( Z, Y, X ), ! c_member( W, U, hAPP( T, Y ) ), c_member(
% 0.88/1.32 tc_prod( Z, W ), c_Product__Type_OPair( Z, W, Y, U ),
% 0.88/1.32 c_Product__Type_OSigma( Z, W, X, T ) ) }.
% 0.88/1.32 { ! c_Relation_Oirrefl( Y, X ), ! c_member( tc_prod( Y, Y ),
% 0.88/1.32 c_Product__Type_OPair( Y, Y, Z, Z ), X ) }.
% 0.88/1.32 { c_member( tc_prod( Y, Y ), c_Product__Type_OPair( Y, Y, skol12( X, Y ),
% 0.88/1.32 skol12( X, Y ) ), X ), c_Relation_Oirrefl( Y, X ) }.
% 0.88/1.32 { ! c_member( tc_prod( T, Z ), c_Product__Type_OPair( T, Z, U, Y ), X ),
% 0.88/1.32 c_member( Z, Y, c_Relation_ORange( T, Z, X ) ) }.
% 0.88/1.32 { c_Relation_Oconverse( Z, Y, c_Relation_Oconverse( Y, Z, X ) ) = X }.
% 0.88/1.32 { ! c_member( tc_prod( U, T ), c_Product__Type_OPair( U, T, Z, Y ),
% 0.88/1.32 c_Relation_Oconverse( T, U, X ) ), c_member( tc_prod( T, U ),
% 0.88/1.32 c_Product__Type_OPair( T, U, Y, Z ), X ) }.
% 0.88/1.32 { ! c_member( tc_prod( U, T ), c_Product__Type_OPair( U, T, Z, Y ), X ),
% 0.88/1.32 c_member( tc_prod( T, U ), c_Product__Type_OPair( T, U, Y, Z ),
% 0.88/1.32 c_Relation_Oconverse( U, T, X ) ) }.
% 0.88/1.32 { ! c_member( tc_prod( U, T ), c_Product__Type_OPair( U, T, Z, Y ),
% 0.88/1.32 c_Relation_Oconverse( T, U, X ) ), c_member( tc_prod( T, U ),
% 0.88/1.32 c_Product__Type_OPair( T, U, Y, Z ), X ) }.
% 0.88/1.32 { ! c_member( tc_prod( T, U ), c_Product__Type_OPair( T, U, Y, Z ), X ),
% 0.88/1.32 c_member( tc_prod( U, T ), c_Product__Type_OPair( U, T, Z, Y ),
% 0.88/1.32 c_Relation_Oconverse( T, U, X ) ) }.
% 0.88/1.32 { ! c_member( T, Z, c_Relation_ORange( Y, T, X ) ), c_member( tc_prod( Y, T
% 0.88/1.32 ), c_Product__Type_OPair( Y, T, skol13( X, Y, Z, T ), Z ), X ) }.
% 0.88/1.32 { ! c_member( tc_prod( Y, T ), c_Product__Type_OPair( Y, T, U, Z ), X ),
% 0.88/1.32 c_member( T, Z, c_Relation_ORange( Y, T, X ) ) }.
% 0.88/1.32 { ! c_member( tc_prod( W, U ), c_Product__Type_OPair( W, U, T, Z ),
% 0.88/1.32 c_Product__Type_OSigma( W, U, Y, X ) ), c_member( W, T, Y ) }.
% 0.88/1.32 { ! c_member( tc_prod( W, U ), c_Product__Type_OPair( W, U, T, Z ),
% 0.88/1.32 c_Product__Type_OSigma( W, U, Y, X ) ), c_member( U, Z, hAPP( X, T ) ) }
% 0.88/1.32 .
% 0.88/1.32 { ! c_member( tc_prod( W, T ), c_Product__Type_OPair( W, T, Z, Y ),
% 0.88/1.32 c_Product__Type_OSigma( W, T, U, X ) ), c_member( T, Y, hAPP( X, Z ) ) }
% 0.88/1.32 .
% 0.88/1.32 { ! c_member( tc_prod( Z, W ), c_Product__Type_OPair( Z, W, Y, U ),
% 0.88/1.32 c_Product__Type_OSigma( Z, W, X, T ) ), c_member( Z, Y, X ) }.
% 0.88/1.32 { ! c_member( tc_prod( W, U ), c_Product__Type_OPair( W, U, T, Z ),
% 0.88/1.32 c_Product__Type_OSigma( W, U, Y, X ) ), c_member( W, T, Y ) }.
% 0.88/1.32 { ! c_member( tc_prod( W, U ), c_Product__Type_OPair( W, U, T, Z ),
% 0.88/1.32 c_Product__Type_OSigma( W, U, Y, X ) ), c_member( U, Z, hAPP( X, T ) ) }
% 0.88/1.32 .
% 0.88/1.32 { ! c_member( W, T, Y ), ! c_member( U, Z, hAPP( X, T ) ), c_member(
% 0.88/1.32 tc_prod( W, U ), c_Product__Type_OPair( W, U, T, Z ),
% 0.88/1.32 c_Product__Type_OSigma( W, U, Y, X ) ) }.
% 0.88/1.32 { ! c_member( T, Z, c_Relation_ORange( Y, T, X ) ), c_member( tc_prod( Y, T
% 0.88/1.32 ), c_Product__Type_OPair( Y, T, skol14( X, Y, Z, T ), Z ), X ) }.
% 0.88/1.32 { ! c_member( tc_prod( U, T ), Z, c_Product__Type_OSigma( U, T, Y, X ) ),
% 0.88/1.32 c_member( U, skol15( W, Y, V0, V1, U ), Y ) }.
% 0.88/1.32 { ! c_member( tc_prod( U, T ), Z, c_Product__Type_OSigma( U, T, Y, X ) ),
% 0.88/1.32 c_member( T, skol72( X, Y, Z, T, U ), hAPP( X, skol15( X, Y, Z, T, U ) )
% 0.88/1.32 ) }.
% 0.88/1.32 { ! c_member( tc_prod( U, T ), Z, c_Product__Type_OSigma( U, T, Y, X ) ), Z
% 0.88/1.32 = c_Product__Type_OPair( U, T, skol15( X, Y, Z, T, U ), skol72( X, Y, Z
% 0.88/1.32 , T, U ) ) }.
% 0.88/1.32 { ! c_member( Z, skol16( X, T, Z ), c_Wellfounded_Oacc( Z, X ) ), c_member
% 0.88/1.32 ( Z, Y, c_Wellfounded_Oacc( Z, X ) ) }.
% 0.88/1.32 { c_member( tc_prod( Z, Z ), c_Product__Type_OPair( Z, Z, skol16( X, Y, Z )
% 0.88/1.32 , Y ), X ), c_member( Z, Y, c_Wellfounded_Oacc( Z, X ) ) }.
% 0.88/1.32 { c_member( Z, Y, c_Wellfounded_Oacc( Z, X ) ), ! c_member( Z, skol17( X, T
% 0.88/1.32 , Z ), c_Wellfounded_Oacc( Z, X ) ) }.
% 0.88/1.32 { c_member( Z, Y, c_Wellfounded_Oacc( Z, X ) ), c_member( tc_prod( Z, Z ),
% 0.88/1.32 c_Product__Type_OPair( Z, Z, skol17( X, Y, Z ), Y ), X ) }.
% 0.88/1.32 { ! c_member( tc_prod( T, Z ), Y, c_Relation_Oconverse( Z, T, X ) ), Y =
% 0.88/1.32 c_Product__Type_OPair( T, Z, skol73( X, Y, Z, T ), skol18( X, Y, Z, T ) )
% 0.88/1.32 }.
% 0.88/1.32 { ! c_member( tc_prod( T, Z ), Y, c_Relation_Oconverse( Z, T, X ) ),
% 0.88/1.32 c_member( tc_prod( Z, T ), c_Product__Type_OPair( Z, T, skol18( X, Y, Z,
% 0.88/1.32 T ), skol73( X, Y, Z, T ) ), X ) }.
% 0.88/1.32 { ! Y = X, ! c_member( T, Y, Z ), c_member( tc_prod( T, T ),
% 0.88/1.32 c_Product__Type_OPair( T, T, Y, X ), c_Relation_OId__on( T, Z ) ) }.
% 0.88/1.32 { ! c_member( tc_prod( T, T ), c_Product__Type_OPair( T, T, Z, Y ),
% 0.88/1.32 c_Relation_OId__on( T, X ) ), Z = Y }.
% 0.88/1.32 { ! c_member( tc_prod( T, T ), c_Product__Type_OPair( T, T, Z, Y ),
% 0.88/1.32 c_Relation_OId__on( T, X ) ), c_member( T, Z, X ) }.
% 0.88/1.32 { ! Z = Y, ! c_member( T, Z, X ), c_member( tc_prod( T, T ),
% 0.88/1.32 c_Product__Type_OPair( T, T, Z, Y ), c_Relation_OId__on( T, X ) ) }.
% 0.88/1.32 { ! c_member( tc_prod( T, Z ), c_Product__Type_OPair( T, Z, Y, U ), X ),
% 0.88/1.32 c_member( T, Y, c_Relation_ODomain( T, Z, X ) ) }.
% 0.88/1.32 { ! c_member( tc_prod( T, T ), c_Product__Type_OPair( T, T, Z, Y ),
% 0.88/1.32 c_Transitive__Closure_Ortrancl( T, X ) ), ! c_member( T, Y,
% 0.88/1.32 c_Wellfounded_Oacc( T, X ) ), c_member( T, Z, c_Wellfounded_Oacc( T, X )
% 0.88/1.32 ) }.
% 0.88/1.32 { ! c_member( Z, Y, c_Wellfounded_Oacc( Z, X ) ), ! c_member( tc_prod( Z, Z
% 0.88/1.32 ), c_Product__Type_OPair( Z, Z, T, Y ), c_Transitive__Closure_Ortrancl(
% 0.88/1.32 Z, X ) ), c_member( Z, T, c_Wellfounded_Oacc( Z, X ) ) }.
% 0.88/1.32 { c_Relation_ODomain( Y, Y, c_Relation_OId__on( Y, X ) ) = X }.
% 0.88/1.32 { c_Relation_Oconverse( Y, Y, c_Relation_OId__on( Y, X ) ) =
% 0.88/1.32 c_Relation_OId__on( Y, X ) }.
% 0.88/1.32 { c_Relation_ORange( Y, Y, c_Relation_OId__on( Y, X ) ) = X }.
% 0.88/1.32 { c_Relation_ORange( Z, Y, X ) = c_Relation_ODomain( Y, Z,
% 0.88/1.32 c_Relation_Oconverse( Z, Y, X ) ) }.
% 0.88/1.32 { c_Relation_ODomain( Z, Y, c_Relation_Oconverse( Y, Z, X ) ) =
% 0.88/1.32 c_Relation_ORange( Y, Z, X ) }.
% 0.88/1.32 { c_Relation_ORange( Z, Y, c_Relation_Oconverse( Y, Z, X ) ) =
% 0.88/1.32 c_Relation_ODomain( Y, Z, X ) }.
% 0.88/1.32 { ! c_member( T, Z, c_Relation_ODomain( T, Y, X ) ), c_member( tc_prod( T,
% 0.88/1.32 Y ), c_Product__Type_OPair( T, Y, Z, skol19( X, Y, Z, T ) ), X ) }.
% 0.88/1.32 { ! c_member( tc_prod( T, Y ), c_Product__Type_OPair( T, Y, Z, U ), X ),
% 0.88/1.32 c_member( T, Z, c_Relation_ODomain( T, Y, X ) ) }.
% 0.88/1.32 { c_member( tc_prod( Z, Z ), c_Product__Type_OPair( Z, Z, Y, Y ),
% 0.88/1.32 c_Transitive__Closure_Ortrancl( Z, X ) ) }.
% 0.88/1.32 { ! c_member( tc_prod( Z, Z ), Y, X ), c_member( tc_prod( Z, Z ), Y,
% 0.88/1.32 c_Transitive__Closure_Ortrancl( Z, X ) ) }.
% 0.88/1.32 { c_member( Z, Y, c_Relation_ODomain( Z, Z, X ) ), ! c_member( tc_prod( Z,
% 0.88/1.32 Z ), c_Product__Type_OPair( Z, Z, Y, T ), c_Transitive__Closure_Ortrancl
% 0.88/1.32 ( Z, X ) ), Y = T }.
% 0.88/1.32 { c_member( Z, Y, c_Relation_ODomain( Z, Z, X ) ), ! Y = T, c_member(
% 0.88/1.32 tc_prod( Z, Z ), c_Product__Type_OPair( Z, Z, Y, T ),
% 0.88/1.32 c_Transitive__Closure_Ortrancl( Z, X ) ) }.
% 0.88/1.32 { ! c_member( tc_prod( T, T ), c_Product__Type_OPair( T, T, Z, Y ),
% 0.88/1.32 c_Transitive__Closure_Ortrancl( T, X ) ), c_member( tc_prod( T, T ),
% 0.88/1.32 c_Product__Type_OPair( T, T, Y, Z ), c_Transitive__Closure_Ortrancl( T,
% 0.88/1.32 c_Relation_Oconverse( T, T, X ) ) ) }.
% 0.88/1.32 { ! c_member( tc_prod( T, T ), c_Product__Type_OPair( T, T, Z, Y ),
% 0.88/1.32 c_Transitive__Closure_Ortrancl( T, c_Relation_Oconverse( T, T, X ) ) ),
% 0.88/1.32 c_member( tc_prod( T, T ), c_Product__Type_OPair( T, T, Y, Z ),
% 0.88/1.32 c_Transitive__Closure_Ortrancl( T, X ) ) }.
% 0.88/1.32 { ! c_member( tc_prod( T, T ), c_Product__Type_OPair( T, T, Z, Y ), X ), !
% 0.88/1.32 c_member( tc_prod( T, T ), c_Product__Type_OPair( T, T, Y, U ),
% 0.88/1.32 c_Transitive__Closure_Ortrancl( T, X ) ), c_member( tc_prod( T, T ),
% 0.88/1.32 c_Product__Type_OPair( T, T, Z, U ), c_Transitive__Closure_Ortrancl( T, X
% 0.88/1.32 ) ) }.
% 0.88/1.32 { ! c_member( tc_prod( T, T ), c_Product__Type_OPair( T, T, Z, Y ),
% 0.88/1.32 c_Transitive__Closure_Ortrancl( T, X ) ), ! c_member( tc_prod( T, T ),
% 0.88/1.32 c_Product__Type_OPair( T, T, Y, U ), X ), c_member( tc_prod( T, T ),
% 0.88/1.32 c_Product__Type_OPair( T, T, Z, U ), c_Transitive__Closure_Ortrancl( T, X
% 0.88/1.32 ) ) }.
% 0.88/1.32 { ! c_member( tc_prod( T, T ), c_Product__Type_OPair( T, T, Z, Y ),
% 0.88/1.32 c_Transitive__Closure_Ortrancl( T, X ) ), ! c_member( tc_prod( T, T ),
% 0.88/1.32 c_Product__Type_OPair( T, T, Y, U ), c_Transitive__Closure_Ortrancl( T, X
% 0.88/1.32 ) ), c_member( tc_prod( T, T ), c_Product__Type_OPair( T, T, Z, U ),
% 0.88/1.32 c_Transitive__Closure_Ortrancl( T, X ) ) }.
% 0.88/1.32 { c_Transitive__Closure_Ortrancl( Y, c_Relation_Oconverse( Y, Y, X ) ) =
% 0.88/1.32 c_Relation_Oconverse( Y, Y, c_Transitive__Closure_Ortrancl( Y, X ) ) }.
% 0.88/1.32 { c_Transitive__Closure_Ortrancl( Y, c_Transitive__Closure_Ortrancl( Y, X )
% 0.88/1.32 ) = c_Transitive__Closure_Ortrancl( Y, X ) }.
% 0.88/1.32 { ! c_member( tc_prod( Z, Z ), Y, c_Relation_OId__on( Z, X ) ), Y =
% 0.88/1.32 c_Product__Type_OPair( Z, Z, skol20( T, Y, Z ), skol20( T, Y, Z ) ) }.
% 0.88/1.32 { ! c_member( tc_prod( Z, Z ), Y, c_Relation_OId__on( Z, X ) ), c_member( Z
% 0.88/1.32 , skol20( X, Y, Z ), X ) }.
% 0.88/1.32 { ! c_member( T, Z, c_Relation_ODomain( T, Y, X ) ), c_member( tc_prod( T,
% 0.88/1.32 Y ), c_Product__Type_OPair( T, Y, Z, skol21( X, Y, Z, T ) ), X ) }.
% 0.88/1.32 { ! c_Relation_Osingle__valued( Y, Y, X ), ! c_member( tc_prod( Y, Y ),
% 0.88/1.32 c_Product__Type_OPair( Y, Y, T, Z ), c_Transitive__Closure_Ortrancl( Y, X
% 0.88/1.32 ) ), ! c_member( tc_prod( Y, Y ), c_Product__Type_OPair( Y, Y, T, U ),
% 0.88/1.32 c_Transitive__Closure_Ortrancl( Y, X ) ), c_member( tc_prod( Y, Y ),
% 0.88/1.32 c_Product__Type_OPair( Y, Y, Z, U ), c_Transitive__Closure_Ortrancl( Y, X
% 0.88/1.32 ) ), c_member( tc_prod( Y, Y ), c_Product__Type_OPair( Y, Y, U, Z ),
% 0.88/1.32 c_Transitive__Closure_Ortrancl( Y, X ) ) }.
% 0.88/1.32 { ! c_member( tc_prod( tc_prod( V0, W ), tc_prod( V0, W ) ),
% 0.88/1.32 c_Product__Type_OPair( tc_prod( V0, W ), tc_prod( V0, W ),
% 0.88/1.32 c_Product__Type_OPair( V0, W, U, T ), c_Product__Type_OPair( V0, W, Z, Y
% 0.88/1.32 ) ), c_Transitive__Closure_Ortrancl( tc_prod( V0, W ), X ) ), ! hBOOL(
% 0.88/1.32 hAPP( hAPP( V1, U ), T ) ), c_member( tc_prod( tc_prod( V0, W ), tc_prod
% 0.88/1.32 ( V0, W ) ), c_Product__Type_OPair( tc_prod( V0, W ), tc_prod( V0, W ),
% 0.88/1.32 c_Product__Type_OPair( V0, W, U, T ), c_Product__Type_OPair( V0, W,
% 0.88/1.32 skol22( X, T, U, W, V0, V1 ), skol74( X, T, U, W, V0, V1 ) ) ),
% 0.88/1.32 c_Transitive__Closure_Ortrancl( tc_prod( V0, W ), X ) ), hBOOL( hAPP(
% 0.88/1.32 hAPP( V1, Z ), Y ) ) }.
% 0.88/1.32 { ! c_member( tc_prod( tc_prod( V0, W ), tc_prod( V0, W ) ),
% 0.88/1.32 c_Product__Type_OPair( tc_prod( V0, W ), tc_prod( V0, W ),
% 0.88/1.32 c_Product__Type_OPair( V0, W, U, T ), c_Product__Type_OPair( V0, W, Z, Y
% 0.88/1.32 ) ), c_Transitive__Closure_Ortrancl( tc_prod( V0, W ), X ) ), ! hBOOL(
% 0.88/1.32 hAPP( hAPP( V1, U ), T ) ), alpha40( X, W, V0, V1, skol22( X, T, U, W, V0
% 0.88/1.32 , V1 ), skol74( X, T, U, W, V0, V1 ) ), hBOOL( hAPP( hAPP( V1, Z ), Y ) )
% 0.88/1.32 }.
% 0.88/1.32 { ! alpha40( X, Y, Z, T, U, W ), hBOOL( hAPP( hAPP( T, U ), W ) ) }.
% 0.88/1.32 { ! alpha40( X, Y, Z, T, U, W ), c_member( tc_prod( tc_prod( Z, Y ),
% 0.88/1.32 tc_prod( Z, Y ) ), c_Product__Type_OPair( tc_prod( Z, Y ), tc_prod( Z, Y
% 0.88/1.32 ), c_Product__Type_OPair( Z, Y, U, W ), c_Product__Type_OPair( Z, Y,
% 0.88/1.32 skol23( X, Y, Z, T, U, W ), skol75( X, Y, Z, T, U, W ) ) ), X ) }.
% 0.88/1.32 { ! alpha40( X, Y, Z, T, U, W ), ! hBOOL( hAPP( hAPP( T, skol23( X, Y, Z, T
% 0.88/1.32 , U, W ) ), skol75( X, Y, Z, T, U, W ) ) ) }.
% 0.88/1.32 { ! c_member( tc_prod( tc_prod( Z, Y ), tc_prod( Z, Y ) ),
% 0.88/1.32 c_Product__Type_OPair( tc_prod( Z, Y ), tc_prod( Z, Y ),
% 0.88/1.32 c_Product__Type_OPair( Z, Y, U, W ), c_Product__Type_OPair( Z, Y, V0, V1
% 0.88/1.32 ) ), X ), ! hBOOL( hAPP( hAPP( T, U ), W ) ), hBOOL( hAPP( hAPP( T, V0 )
% 0.88/1.32 , V1 ) ), alpha40( X, Y, Z, T, U, W ) }.
% 0.88/1.32 { ! c_member( tc_prod( tc_prod( V0, W ), tc_prod( V0, W ) ),
% 0.88/1.32 c_Product__Type_OPair( tc_prod( V0, W ), tc_prod( V0, W ),
% 0.88/1.32 c_Product__Type_OPair( V0, W, U, T ), c_Product__Type_OPair( V0, W, Z, Y
% 0.88/1.32 ) ), c_Transitive__Closure_Ortrancl( tc_prod( V0, W ), X ) ), ! hBOOL(
% 0.88/1.32 hAPP( hAPP( V1, Z ), Y ) ), alpha41( X, Y, Z, W, V0, skol24( X, Y, Z, W,
% 0.88/1.32 V0, V1 ), skol76( X, Y, Z, W, V0, V1 ), skol90( X, Y, Z, W, V0, V1 ),
% 0.88/1.32 skol93( X, Y, Z, W, V0, V1 ) ), hBOOL( hAPP( hAPP( V1, U ), T ) ) }.
% 0.88/1.32 { ! c_member( tc_prod( tc_prod( V0, W ), tc_prod( V0, W ) ),
% 0.88/1.32 c_Product__Type_OPair( tc_prod( V0, W ), tc_prod( V0, W ),
% 0.88/1.32 c_Product__Type_OPair( V0, W, U, T ), c_Product__Type_OPair( V0, W, Z, Y
% 0.88/1.32 ) ), c_Transitive__Closure_Ortrancl( tc_prod( V0, W ), X ) ), ! hBOOL(
% 0.88/1.32 hAPP( hAPP( V1, Z ), Y ) ), hBOOL( hAPP( hAPP( V1, skol90( X, Y, Z, W, V0
% 0.88/1.32 , V1 ) ), skol93( X, Y, Z, W, V0, V1 ) ) ), hBOOL( hAPP( hAPP( V1, U ), T
% 0.88/1.32 ) ) }.
% 0.88/1.32 { ! c_member( tc_prod( tc_prod( V0, W ), tc_prod( V0, W ) ),
% 0.88/1.32 c_Product__Type_OPair( tc_prod( V0, W ), tc_prod( V0, W ),
% 0.88/1.32 c_Product__Type_OPair( V0, W, U, T ), c_Product__Type_OPair( V0, W, Z, Y
% 0.88/1.32 ) ), c_Transitive__Closure_Ortrancl( tc_prod( V0, W ), X ) ), ! hBOOL(
% 0.88/1.32 hAPP( hAPP( V1, Z ), Y ) ), ! hBOOL( hAPP( hAPP( V1, skol24( X, Y, Z, W,
% 0.88/1.32 V0, V1 ) ), skol76( X, Y, Z, W, V0, V1 ) ) ), hBOOL( hAPP( hAPP( V1, U )
% 0.88/1.32 , T ) ) }.
% 0.88/1.32 { ! alpha41( X, Y, Z, T, U, W, V0, V1, V2 ), c_member( tc_prod( tc_prod( U
% 0.88/1.32 , T ), tc_prod( U, T ) ), c_Product__Type_OPair( tc_prod( U, T ), tc_prod
% 0.88/1.32 ( U, T ), c_Product__Type_OPair( U, T, W, V0 ), c_Product__Type_OPair( U
% 0.88/1.32 , T, V1, V2 ) ), X ) }.
% 0.88/1.32 { ! alpha41( X, Y, Z, T, U, W, V0, V1, V2 ), c_member( tc_prod( tc_prod( U
% 0.88/1.32 , T ), tc_prod( U, T ) ), c_Product__Type_OPair( tc_prod( U, T ), tc_prod
% 0.88/1.32 ( U, T ), c_Product__Type_OPair( U, T, V1, V2 ), c_Product__Type_OPair( U
% 0.88/1.32 , T, Z, Y ) ), c_Transitive__Closure_Ortrancl( tc_prod( U, T ), X ) ) }.
% 0.88/1.32 { ! c_member( tc_prod( tc_prod( U, T ), tc_prod( U, T ) ),
% 0.88/1.32 c_Product__Type_OPair( tc_prod( U, T ), tc_prod( U, T ),
% 0.88/1.32 c_Product__Type_OPair( U, T, W, V0 ), c_Product__Type_OPair( U, T, V1, V2
% 0.88/1.32 ) ), X ), ! c_member( tc_prod( tc_prod( U, T ), tc_prod( U, T ) ),
% 0.88/1.32 c_Product__Type_OPair( tc_prod( U, T ), tc_prod( U, T ),
% 0.88/1.32 c_Product__Type_OPair( U, T, V1, V2 ), c_Product__Type_OPair( U, T, Z, Y
% 0.88/1.32 ) ), c_Transitive__Closure_Ortrancl( tc_prod( U, T ), X ) ), alpha41( X
% 0.88/1.32 , Y, Z, T, U, W, V0, V1, V2 ) }.
% 0.88/1.32 { ! c_member( tc_prod( tc_prod( V0, W ), tc_prod( V0, W ) ),
% 0.88/1.32 c_Product__Type_OPair( tc_prod( V0, W ), tc_prod( V0, W ),
% 0.88/1.32 c_Product__Type_OPair( V0, W, U, T ), c_Product__Type_OPair( V0, W, Z, Y
% 0.88/1.32 ) ), c_Transitive__Closure_Ortrancl( tc_prod( V0, W ), X ) ),
% 0.88/1.32 c_Product__Type_OPair( V0, W, U, T ) = c_Product__Type_OPair( V0, W, Z, Y
% 0.88/1.32 ), c_member( tc_prod( tc_prod( V0, W ), tc_prod( V0, W ) ),
% 0.88/1.32 c_Product__Type_OPair( tc_prod( V0, W ), tc_prod( V0, W ),
% 0.88/1.32 c_Product__Type_OPair( V0, W, U, T ), c_Product__Type_OPair( V0, W,
% 0.88/1.32 skol25( X, Y, Z, T, U, W, V0 ), skol77( X, Y, Z, T, U, W, V0 ) ) ), X ) }
% 0.88/1.32 .
% 0.88/1.32 { ! c_member( tc_prod( tc_prod( V0, W ), tc_prod( V0, W ) ),
% 0.88/1.32 c_Product__Type_OPair( tc_prod( V0, W ), tc_prod( V0, W ),
% 0.88/1.32 c_Product__Type_OPair( V0, W, U, T ), c_Product__Type_OPair( V0, W, Z, Y
% 0.88/1.32 ) ), c_Transitive__Closure_Ortrancl( tc_prod( V0, W ), X ) ),
% 0.88/1.32 c_Product__Type_OPair( V0, W, U, T ) = c_Product__Type_OPair( V0, W, Z, Y
% 0.88/1.32 ), c_member( tc_prod( tc_prod( V0, W ), tc_prod( V0, W ) ),
% 0.88/1.32 c_Product__Type_OPair( tc_prod( V0, W ), tc_prod( V0, W ),
% 0.88/1.32 c_Product__Type_OPair( V0, W, skol25( X, Y, Z, T, U, W, V0 ), skol77( X,
% 0.88/1.32 Y, Z, T, U, W, V0 ) ), c_Product__Type_OPair( V0, W, Z, Y ) ),
% 0.88/1.32 c_Transitive__Closure_Ortrancl( tc_prod( V0, W ), X ) ) }.
% 0.88/1.32 { ! c_member( tc_prod( T, T ), c_Product__Type_OPair( T, T, Z, Y ),
% 0.88/1.32 c_Transitive__Closure_Ortrancl( T, X ) ), Z = Y, c_member( tc_prod( T, T
% 0.88/1.32 ), c_Product__Type_OPair( T, T, Z, skol26( X, U, Z, T ) ),
% 0.88/1.32 c_Transitive__Closure_Ortrancl( T, X ) ) }.
% 0.88/1.32 { ! c_member( tc_prod( T, T ), c_Product__Type_OPair( T, T, Z, Y ),
% 0.88/1.32 c_Transitive__Closure_Ortrancl( T, X ) ), Z = Y, c_member( tc_prod( T, T
% 0.88/1.32 ), c_Product__Type_OPair( T, T, skol26( X, Y, Z, T ), Y ), X ) }.
% 0.88/1.32 { ! c_member( tc_prod( T, T ), c_Product__Type_OPair( T, T, Z, Y ),
% 0.88/1.32 c_Transitive__Closure_Ortrancl( T, X ) ), Z = Y, c_member( tc_prod( T, T
% 0.88/1.32 ), c_Product__Type_OPair( T, T, Z, skol27( X, U, Z, T ) ), X ) }.
% 0.88/1.32 { ! c_member( tc_prod( T, T ), c_Product__Type_OPair( T, T, Z, Y ),
% 0.88/1.32 c_Transitive__Closure_Ortrancl( T, X ) ), Z = Y, c_member( tc_prod( T, T
% 0.88/1.32 ), c_Product__Type_OPair( T, T, skol27( X, Y, Z, T ), Y ),
% 0.88/1.32 c_Transitive__Closure_Ortrancl( T, X ) ) }.
% 0.88/1.32 { c_Relation_Osingle__valued( Y, Y, c_Relation_OId__on( Y, X ) ) }.
% 0.88/1.32 { ! c_Relation_Osingle__valued( Z, Y, X ), ! c_member( tc_prod( Z, Y ),
% 0.88/1.32 c_Product__Type_OPair( Z, Y, T, U ), X ), alpha5( X, Y, Z, T, U ) }.
% 0.88/1.32 { c_member( tc_prod( Z, Y ), c_Product__Type_OPair( Z, Y, skol28( X, Y, Z )
% 0.88/1.32 , skol78( X, Y, Z ) ), X ), c_Relation_Osingle__valued( Z, Y, X ) }.
% 0.88/1.32 { ! alpha5( X, Y, Z, skol28( X, Y, Z ), skol78( X, Y, Z ) ),
% 0.88/1.32 c_Relation_Osingle__valued( Z, Y, X ) }.
% 0.88/1.32 { ! alpha5( X, Y, Z, T, U ), ! c_member( tc_prod( Z, Y ),
% 0.88/1.32 c_Product__Type_OPair( Z, Y, T, W ), X ), U = W }.
% 0.88/1.32 { ! U = skol29( W, V0, V1, V2, U ), alpha5( X, Y, Z, T, U ) }.
% 0.88/1.32 { c_member( tc_prod( Z, Y ), c_Product__Type_OPair( Z, Y, T, skol29( X, Y,
% 0.88/1.32 Z, T, U ) ), X ), alpha5( X, Y, Z, T, U ) }.
% 0.88/1.32 { ! c_Relation_Osingle__valued( Z, Y, X ), ! c_member( tc_prod( Z, Y ),
% 0.88/1.32 c_Product__Type_OPair( Z, Y, U, T ), X ), ! c_member( tc_prod( Z, Y ),
% 0.88/1.32 c_Product__Type_OPair( Z, Y, U, W ), X ), T = W }.
% 0.88/1.32 { c_member( tc_prod( Z, Y ), c_Product__Type_OPair( Z, Y, skol30( X, Y, Z )
% 0.88/1.32 , skol79( X, Y, Z ) ), X ), c_Relation_Osingle__valued( Z, Y, X ) }.
% 0.88/1.32 { c_member( tc_prod( Z, Y ), c_Product__Type_OPair( Z, Y, skol30( X, Y, Z )
% 0.88/1.32 , skol91( X, Y, Z ) ), X ), c_Relation_Osingle__valued( Z, Y, X ) }.
% 0.88/1.32 { ! skol79( X, Y, Z ) = skol91( X, Y, Z ), c_Relation_Osingle__valued( Z, Y
% 0.88/1.32 , X ) }.
% 0.88/1.32 { ! c_member( tc_prod( T, T ), c_Product__Type_OPair( T, T, Z, Y ),
% 0.88/1.32 c_Transitive__Closure_Ortrancl( T, X ) ), ! hBOOL( hAPP( U, Z ) ),
% 0.88/1.32 c_member( tc_prod( T, T ), c_Product__Type_OPair( T, T, Z, skol31( X, Z,
% 0.88/1.32 T, W ) ), c_Transitive__Closure_Ortrancl( T, X ) ), hBOOL( hAPP( U, Y ) )
% 0.88/1.32 }.
% 0.88/1.32 { ! c_member( tc_prod( T, T ), c_Product__Type_OPair( T, T, Z, Y ),
% 0.88/1.32 c_Transitive__Closure_Ortrancl( T, X ) ), ! hBOOL( hAPP( U, Z ) ),
% 0.88/1.32 alpha42( X, T, U, skol31( X, Z, T, U ) ), hBOOL( hAPP( U, Y ) ) }.
% 0.88/1.32 { ! alpha42( X, Y, Z, T ), ! hBOOL( hAPP( Z, skol32( U, W, Z, V0 ) ) ) }.
% 0.88/1.32 { ! alpha42( X, Y, Z, T ), hBOOL( hAPP( Z, T ) ) }.
% 0.88/1.32 { ! alpha42( X, Y, Z, T ), c_member( tc_prod( Y, Y ), c_Product__Type_OPair
% 0.88/1.32 ( Y, Y, T, skol32( X, Y, Z, T ) ), X ) }.
% 0.88/1.32 { ! c_member( tc_prod( Y, Y ), c_Product__Type_OPair( Y, Y, T, U ), X ), !
% 0.88/1.32 hBOOL( hAPP( Z, T ) ), hBOOL( hAPP( Z, U ) ), alpha42( X, Y, Z, T ) }.
% 0.88/1.32 { ! c_member( tc_prod( T, T ), c_Product__Type_OPair( T, T, Z, Y ),
% 0.88/1.32 c_Transitive__Closure_Ortrancl( T, X ) ), ! hBOOL( hAPP( U, Y ) ), hBOOL
% 0.88/1.32 ( hAPP( U, skol80( W, V0, V1, U ) ) ), hBOOL( hAPP( U, Z ) ) }.
% 0.88/1.32 { ! c_member( tc_prod( T, T ), c_Product__Type_OPair( T, T, Z, Y ),
% 0.88/1.32 c_Transitive__Closure_Ortrancl( T, X ) ), ! hBOOL( hAPP( U, Y ) ),
% 0.88/1.32 alpha43( X, Y, T, skol33( X, Y, T, U ), skol80( X, Y, T, U ) ), hBOOL(
% 0.88/1.32 hAPP( U, Z ) ) }.
% 0.88/1.32 { ! c_member( tc_prod( T, T ), c_Product__Type_OPair( T, T, Z, Y ),
% 0.88/1.32 c_Transitive__Closure_Ortrancl( T, X ) ), ! hBOOL( hAPP( U, Y ) ), !
% 0.88/1.32 hBOOL( hAPP( U, skol33( X, Y, T, U ) ) ), hBOOL( hAPP( U, Z ) ) }.
% 0.88/1.32 { ! alpha43( X, Y, Z, T, U ), c_member( tc_prod( Z, Z ),
% 0.88/1.32 c_Product__Type_OPair( Z, Z, T, U ), X ) }.
% 0.88/1.32 { ! alpha43( X, Y, Z, T, U ), c_member( tc_prod( Z, Z ),
% 0.88/1.32 c_Product__Type_OPair( Z, Z, U, Y ), c_Transitive__Closure_Ortrancl( Z, X
% 0.88/1.32 ) ) }.
% 0.88/1.32 { ! c_member( tc_prod( Z, Z ), c_Product__Type_OPair( Z, Z, T, U ), X ), !
% 0.88/1.32 c_member( tc_prod( Z, Z ), c_Product__Type_OPair( Z, Z, U, Y ),
% 0.88/1.32 c_Transitive__Closure_Ortrancl( Z, X ) ), alpha43( X, Y, Z, T, U ) }.
% 0.88/1.32 { ! c_Relation_Ototal__on( Z, Y, X ), ! c_member( Z, T, Y ), alpha6( X, Y,
% 0.88/1.32 Z, T ) }.
% 0.88/1.32 { c_member( Z, skol34( T, Y, Z ), Y ), c_Relation_Ototal__on( Z, Y, X ) }.
% 0.88/1.32 { ! alpha6( X, Y, Z, skol34( X, Y, Z ) ), c_Relation_Ototal__on( Z, Y, X )
% 0.88/1.32 }.
% 0.88/1.32 { ! alpha6( X, Y, Z, T ), ! c_member( Z, U, Y ), alpha21( X, Z, T, U ) }.
% 0.88/1.32 { c_member( Z, skol35( U, Y, Z, W ), Y ), alpha6( X, Y, Z, T ) }.
% 0.88/1.32 { ! alpha21( X, Z, T, skol35( X, Y, Z, T ) ), alpha6( X, Y, Z, T ) }.
% 0.88/1.32 { ! alpha21( X, Y, Z, T ), Z = T, alpha31( X, Y, Z, T ) }.
% 0.88/1.32 { ! Z = T, alpha21( X, Y, Z, T ) }.
% 0.88/1.32 { ! alpha31( X, Y, Z, T ), alpha21( X, Y, Z, T ) }.
% 0.88/1.32 { ! alpha31( X, Y, Z, T ), c_member( tc_prod( Y, Y ), c_Product__Type_OPair
% 0.88/1.32 ( Y, Y, Z, T ), X ), c_member( tc_prod( Y, Y ), c_Product__Type_OPair( Y
% 0.88/1.32 , Y, T, Z ), X ) }.
% 0.88/1.32 { ! c_member( tc_prod( Y, Y ), c_Product__Type_OPair( Y, Y, Z, T ), X ),
% 0.88/1.32 alpha31( X, Y, Z, T ) }.
% 0.88/1.32 { ! c_member( tc_prod( Y, Y ), c_Product__Type_OPair( Y, Y, T, Z ), X ),
% 0.88/1.32 alpha31( X, Y, Z, T ) }.
% 0.88/1.32 { ! c_member( tc_prod( W, W ), c_Product__Type_OPair( W, W, U, T ), hAPP(
% 0.88/1.32 c_Relation_Oinv__image( Z, W, Y ), X ) ), c_member( tc_prod( Z, Z ),
% 0.88/1.32 c_Product__Type_OPair( Z, Z, hAPP( X, U ), hAPP( X, T ) ), Y ) }.
% 0.88/1.32 { ! c_member( tc_prod( Z, Z ), c_Product__Type_OPair( Z, Z, hAPP( X, U ),
% 0.88/1.32 hAPP( X, T ) ), Y ), c_member( tc_prod( W, W ), c_Product__Type_OPair( W
% 0.88/1.32 , W, U, T ), hAPP( c_Relation_Oinv__image( Z, W, Y ), X ) ) }.
% 0.88/1.32 { ! c_Relation_Orefl__on( Z, Y, X ), ! c_member( Z, T, Y ), c_member(
% 0.88/1.32 tc_prod( Z, Z ), c_Product__Type_OPair( Z, Z, T, T ), X ) }.
% 0.88/1.32 { ! c_Relation_Orefl__on( Z, Y, X ), ! c_member( tc_prod( Z, Z ),
% 0.88/1.32 c_Product__Type_OPair( Z, Z, T, U ), X ), c_member( Z, T, Y ) }.
% 0.88/1.32 { ! c_Relation_Orefl__on( Z, Y, X ), ! c_member( tc_prod( Z, Z ),
% 0.88/1.32 c_Product__Type_OPair( Z, Z, U, T ), X ), c_member( Z, T, Y ) }.
% 0.88/1.32 { ! c_Relation_Orefl__on( Z, Y, c_Relation_Oconverse( Z, Z, X ) ),
% 0.88/1.32 c_Relation_Orefl__on( Z, Y, X ) }.
% 0.88/1.32 { ! c_Relation_Orefl__on( Z, Y, X ), c_Relation_Orefl__on( Z, Y,
% 0.88/1.32 c_Relation_Oconverse( Z, Z, X ) ) }.
% 0.88/1.32 { c_Relation_Orefl__on( Y, X, c_Relation_OId__on( Y, X ) ) }.
% 0.88/1.32 { c_Relation_Oconverse( T, T, hAPP( c_Relation_Oinv__image( Z, T, Y ), X )
% 0.88/1.32 ) = hAPP( c_Relation_Oinv__image( Z, T, c_Relation_Oconverse( Z, Z, Y )
% 0.88/1.32 ), X ) }.
% 0.88/1.32 { ! c_Relation_Ototal__on( Z, Y, c_Relation_Oconverse( Z, Z, X ) ),
% 0.88/1.32 c_Relation_Ototal__on( Z, Y, X ) }.
% 0.88/1.32 { ! c_Relation_Ototal__on( Z, Y, X ), c_Relation_Ototal__on( Z, Y,
% 0.88/1.32 c_Relation_Oconverse( Z, Z, X ) ) }.
% 0.88/1.32 { ! c_member( tc_prod( T, T ), c_Product__Type_OPair( T, T, Z, Y ),
% 0.88/1.32 c_Transitive__Closure_Otrancl( T, X ) ), c_member( tc_prod( T, T ),
% 0.88/1.32 c_Product__Type_OPair( T, T, Z, Y ), c_Transitive__Closure_Ortrancl( T, X
% 0.88/1.32 ) ) }.
% 0.88/1.32 { c_member( tc_prod( Y, Y ), c_Product__Type_OPair( Y, Y, X, X ),
% 0.88/1.32 c_Relation_OId( Y ) ) }.
% 0.88/1.32 { ! c_Relation_Oantisym( Y, X ), ! c_member( tc_prod( Y, Y ),
% 0.88/1.32 c_Product__Type_OPair( Y, Y, T, Z ), X ), ! c_member( tc_prod( Y, Y ),
% 0.88/1.32 c_Product__Type_OPair( Y, Y, Z, T ), X ), T = Z }.
% 0.88/1.32 { ! c_Relation_Oantisym( Y, X ), ! c_member( tc_prod( Y, Y ),
% 0.88/1.32 c_Product__Type_OPair( Y, Y, Z, T ), X ), alpha7( X, Y, Z, T ) }.
% 0.88/1.32 { c_member( tc_prod( Y, Y ), c_Product__Type_OPair( Y, Y, skol36( X, Y ),
% 0.88/1.32 skol81( X, Y ) ), X ), c_Relation_Oantisym( Y, X ) }.
% 0.88/1.32 { ! alpha7( X, Y, skol36( X, Y ), skol81( X, Y ) ), c_Relation_Oantisym( Y
% 0.88/1.32 , X ) }.
% 0.88/1.32 { ! alpha7( X, Y, Z, T ), ! c_member( tc_prod( Y, Y ),
% 0.88/1.32 c_Product__Type_OPair( Y, Y, T, Z ), X ), Z = T }.
% 0.88/1.32 { c_member( tc_prod( Y, Y ), c_Product__Type_OPair( Y, Y, T, Z ), X ),
% 0.88/1.32 alpha7( X, Y, Z, T ) }.
% 0.88/1.32 { ! Z = T, alpha7( X, Y, Z, T ) }.
% 0.88/1.32 { ! c_member( tc_prod( T, T ), c_Product__Type_OPair( T, T, Z, Y ),
% 0.88/1.32 c_Transitive__Closure_Otrancl( T, c_Relation_Oconverse( T, T, X ) ) ),
% 0.88/1.32 c_member( tc_prod( T, T ), c_Product__Type_OPair( T, T, Z, Y ),
% 0.88/1.32 c_Relation_Oconverse( T, T, c_Transitive__Closure_Otrancl( T, X ) ) ) }.
% 0.88/1.32 { ! c_member( tc_prod( T, T ), c_Product__Type_OPair( T, T, Z, Y ),
% 0.88/1.32 c_Relation_Oconverse( T, T, c_Transitive__Closure_Otrancl( T, X ) ) ),
% 0.88/1.32 c_member( tc_prod( T, T ), c_Product__Type_OPair( T, T, Z, Y ),
% 0.88/1.32 c_Transitive__Closure_Otrancl( T, c_Relation_Oconverse( T, T, X ) ) ) }.
% 0.88/1.32 { ! c_member( tc_prod( T, T ), c_Product__Type_OPair( T, T, Z, Y ),
% 0.88/1.32 c_Transitive__Closure_Ortrancl( T, X ) ), ! c_member( tc_prod( T, T ),
% 0.88/1.32 c_Product__Type_OPair( T, T, Y, U ), c_Transitive__Closure_Otrancl( T, X
% 0.88/1.32 ) ), c_member( tc_prod( T, T ), c_Product__Type_OPair( T, T, Z, U ),
% 0.88/1.32 c_Transitive__Closure_Otrancl( T, X ) ) }.
% 0.88/1.32 { ! c_member( tc_prod( T, T ), c_Product__Type_OPair( T, T, Z, Y ),
% 0.88/1.32 c_Transitive__Closure_Otrancl( T, X ) ), ! c_member( tc_prod( T, T ),
% 0.88/1.32 c_Product__Type_OPair( T, T, Y, U ), c_Transitive__Closure_Ortrancl( T, X
% 0.88/1.32 ) ), c_member( tc_prod( T, T ), c_Product__Type_OPair( T, T, Z, U ),
% 0.88/1.32 c_Transitive__Closure_Otrancl( T, X ) ) }.
% 0.88/1.32 { ! c_member( tc_prod( T, T ), c_Product__Type_OPair( T, T, Z, Y ), X ),
% 0.88/1.32 c_member( tc_prod( T, T ), c_Product__Type_OPair( T, T, Z, Y ),
% 0.88/1.32 c_Transitive__Closure_Otrancl( T, X ) ) }.
% 0.88/1.32 { c_Relation_Oantisym( X, c_Relation_OId( X ) ) }.
% 0.88/1.32 { ! c_member( tc_prod( Z, Z ), Y, X ), c_member( tc_prod( Z, Z ), Y,
% 0.88/1.32 c_Transitive__Closure_Otrancl( Z, X ) ) }.
% 0.88/1.32 { c_Transitive__Closure_Ortrancl( Y, c_Transitive__Closure_Otrancl( Y, X )
% 0.88/1.32 ) = c_Transitive__Closure_Ortrancl( Y, X ) }.
% 0.88/1.32 { c_Transitive__Closure_Otrancl( Y, c_Transitive__Closure_Ortrancl( Y, X )
% 0.88/1.32 ) = c_Transitive__Closure_Ortrancl( Y, X ) }.
% 0.88/1.32 { c_Transitive__Closure_Otrancl( Y, c_Relation_Oconverse( Y, Y, X ) ) =
% 0.88/1.32 c_Relation_Oconverse( Y, Y, c_Transitive__Closure_Otrancl( Y, X ) ) }.
% 0.88/1.32 { c_Relation_ODomain( Y, Y, c_Transitive__Closure_Otrancl( Y, X ) ) =
% 0.88/1.32 c_Relation_ODomain( Y, Y, X ) }.
% 0.88/1.32 { c_Relation_ORange( Y, Y, c_Transitive__Closure_Otrancl( Y, X ) ) =
% 0.88/1.32 c_Relation_ORange( Y, Y, X ) }.
% 0.88/1.32 { c_Relation_Oconverse( X, X, c_Relation_OId( X ) ) = c_Relation_OId( X ) }
% 0.88/1.32 .
% 0.88/1.32 { c_Relation_Osingle__valued( X, X, c_Relation_OId( X ) ) }.
% 0.88/1.32 { ! c_Relation_Oantisym( Y, c_Relation_Oconverse( Y, Y, X ) ),
% 0.88/1.32 c_Relation_Oantisym( Y, X ) }.
% 0.88/1.32 { ! c_Relation_Oantisym( Y, X ), c_Relation_Oantisym( Y,
% 0.88/1.32 c_Relation_Oconverse( Y, Y, X ) ) }.
% 0.88/1.32 { ! c_member( tc_prod( T, T ), c_Product__Type_OPair( T, T, Z, Y ), X ), !
% 0.88/1.32 c_member( tc_prod( T, T ), c_Product__Type_OPair( T, T, Y, U ), X ),
% 0.88/1.32 c_member( tc_prod( T, T ), c_Product__Type_OPair( T, T, Z, U ),
% 0.88/1.32 c_Transitive__Closure_Otrancl( T, X ) ) }.
% 0.88/1.32 { ! c_member( tc_prod( T, T ), c_Product__Type_OPair( T, T, Z, Y ), X ), !
% 0.88/1.32 c_member( tc_prod( T, T ), c_Product__Type_OPair( T, T, Y, U ),
% 0.88/1.32 c_Transitive__Closure_Otrancl( T, X ) ), c_member( tc_prod( T, T ),
% 0.88/1.32 c_Product__Type_OPair( T, T, Z, U ), c_Transitive__Closure_Otrancl( T, X
% 0.88/1.32 ) ) }.
% 0.88/1.32 { ! c_member( tc_prod( T, T ), c_Product__Type_OPair( T, T, Z, Y ),
% 0.88/1.32 c_Transitive__Closure_Otrancl( T, X ) ), ! c_member( tc_prod( T, T ),
% 0.88/1.32 c_Product__Type_OPair( T, T, Y, U ), X ), c_member( tc_prod( T, T ),
% 0.88/1.32 c_Product__Type_OPair( T, T, Z, U ), c_Transitive__Closure_Otrancl( T, X
% 0.88/1.32 ) ) }.
% 0.88/1.32 { ! c_member( tc_prod( T, T ), c_Product__Type_OPair( T, T, Z, Y ),
% 0.88/1.32 c_Transitive__Closure_Otrancl( T, X ) ), ! c_member( tc_prod( T, T ),
% 0.88/1.32 c_Product__Type_OPair( T, T, Y, U ), c_Transitive__Closure_Otrancl( T, X
% 0.88/1.32 ) ), c_member( tc_prod( T, T ), c_Product__Type_OPair( T, T, Z, U ),
% 0.88/1.32 c_Transitive__Closure_Otrancl( T, X ) ) }.
% 0.88/1.32 { c_Relation_Oantisym( Y, c_Relation_OId__on( Y, X ) ) }.
% 0.88/1.32 { ! c_member( tc_prod( Z, Z ), c_Product__Type_OPair( Z, Z, Y, X ),
% 0.88/1.32 c_Relation_OId( Z ) ), Y = X }.
% 0.88/1.32 { ! Y = X, c_member( tc_prod( Z, Z ), c_Product__Type_OPair( Z, Z, Y, X ),
% 0.88/1.32 c_Relation_OId( Z ) ) }.
% 0.88/1.32 { ! c_member( tc_prod( T, T ), c_Product__Type_OPair( T, T, Z, Y ),
% 0.88/1.32 c_Transitive__Closure_Ortrancl( T, X ) ), Z = Y, alpha8( X, Y, Z, T ) }.
% 0.88/1.32 { ! Z = Y, c_member( tc_prod( T, T ), c_Product__Type_OPair( T, T, Z, Y ),
% 0.88/1.32 c_Transitive__Closure_Ortrancl( T, X ) ) }.
% 0.88/1.32 { ! alpha8( X, Y, Z, T ), c_member( tc_prod( T, T ), c_Product__Type_OPair
% 0.88/1.32 ( T, T, Z, Y ), c_Transitive__Closure_Ortrancl( T, X ) ) }.
% 0.88/1.32 { ! alpha8( X, Y, Z, T ), ! Z = Y }.
% 0.88/1.32 { ! alpha8( X, Y, Z, T ), c_member( tc_prod( T, T ), c_Product__Type_OPair
% 0.88/1.32 ( T, T, Z, Y ), c_Transitive__Closure_Otrancl( T, X ) ) }.
% 0.88/1.32 { Z = Y, ! c_member( tc_prod( T, T ), c_Product__Type_OPair( T, T, Z, Y ),
% 0.88/1.32 c_Transitive__Closure_Otrancl( T, X ) ), alpha8( X, Y, Z, T ) }.
% 0.88/1.32 { ! c_member( tc_prod( T, T ), c_Product__Type_OPair( T, T, Z, Y ), X ), !
% 0.88/1.32 c_member( tc_prod( T, T ), c_Product__Type_OPair( T, T, Y, U ),
% 0.88/1.32 c_Transitive__Closure_Ortrancl( T, X ) ), c_member( tc_prod( T, T ),
% 0.88/1.32 c_Product__Type_OPair( T, T, Z, U ), c_Transitive__Closure_Otrancl( T, X
% 0.88/1.32 ) ) }.
% 0.88/1.32 { ! c_member( tc_prod( T, T ), c_Product__Type_OPair( T, T, Z, Y ),
% 0.88/1.32 c_Transitive__Closure_Ortrancl( T, X ) ), Z = Y, ! Z = Y }.
% 0.88/1.32 { ! c_member( tc_prod( T, T ), c_Product__Type_OPair( T, T, Z, Y ),
% 0.88/1.32 c_Transitive__Closure_Ortrancl( T, X ) ), Z = Y, c_member( tc_prod( T, T
% 0.88/1.32 ), c_Product__Type_OPair( T, T, Z, Y ), c_Transitive__Closure_Otrancl( T
% 0.88/1.32 , X ) ) }.
% 0.88/1.32 { ! c_member( tc_prod( T, T ), c_Product__Type_OPair( T, T, Z, Y ),
% 0.88/1.32 c_Transitive__Closure_Ortrancl( T, X ) ), ! c_member( tc_prod( T, T ),
% 0.88/1.32 c_Product__Type_OPair( T, T, Y, U ), X ), c_member( tc_prod( T, T ),
% 0.88/1.32 c_Product__Type_OPair( T, T, Z, U ), c_Transitive__Closure_Otrancl( T, X
% 0.88/1.32 ) ) }.
% 0.88/1.32 { ! c_member( tc_prod( T, T ), c_Product__Type_OPair( T, T, Z, Y ),
% 0.88/1.32 c_Transitive__Closure_Otrancl( T, X ) ), c_member( tc_prod( T, T ),
% 0.88/1.32 c_Product__Type_OPair( T, T, Z, skol37( X, U, Z, T ) ),
% 0.88/1.32 c_Transitive__Closure_Ortrancl( T, X ) ) }.
% 0.88/1.32 { ! c_member( tc_prod( T, T ), c_Product__Type_OPair( T, T, Z, Y ),
% 0.88/1.32 c_Transitive__Closure_Otrancl( T, X ) ), c_member( tc_prod( T, T ),
% 0.88/1.32 c_Product__Type_OPair( T, T, skol37( X, Y, Z, T ), Y ), X ) }.
% 0.88/1.32 { ! c_member( tc_prod( T, T ), c_Product__Type_OPair( T, T, Z, Y ),
% 0.88/1.32 c_Transitive__Closure_Otrancl( T, X ) ), c_member( tc_prod( T, T ),
% 0.88/1.32 c_Product__Type_OPair( T, T, Z, skol38( X, U, Z, T ) ), X ) }.
% 0.88/1.32 { ! c_member( tc_prod( T, T ), c_Product__Type_OPair( T, T, Z, Y ),
% 0.88/1.32 c_Transitive__Closure_Otrancl( T, X ) ), c_member( tc_prod( T, T ),
% 0.88/1.32 c_Product__Type_OPair( T, T, skol38( X, Y, Z, T ), Y ),
% 0.88/1.32 c_Transitive__Closure_Ortrancl( T, X ) ) }.
% 0.88/1.32 { ! c_member( tc_prod( Y, Y ), X, c_Relation_OId( Y ) ), X =
% 0.88/1.32 c_Product__Type_OPair( Y, Y, skol39( X, Y ), skol39( X, Y ) ) }.
% 0.88/1.32 { ! c_Wellfounded_Oacyclic( Y, X ), ! c_member( tc_prod( Y, Y ),
% 0.88/1.32 c_Product__Type_OPair( Y, Y, Z, Z ), c_Transitive__Closure_Otrancl( Y, X
% 0.88/1.32 ) ) }.
% 0.88/1.32 { c_member( tc_prod( Y, Y ), c_Product__Type_OPair( Y, Y, skol40( X, Y ),
% 0.88/1.32 skol40( X, Y ) ), c_Transitive__Closure_Otrancl( Y, X ) ),
% 0.88/1.32 c_Wellfounded_Oacyclic( Y, X ) }.
% 0.88/1.32 { c_member( tc_prod( Y, Y ), c_Product__Type_OPair( Y, Y, skol41( X, Y ),
% 0.88/1.32 skol82( X, Y ) ), X ), c_Relation_Oantisym( Y, X ) }.
% 0.88/1.32 { c_member( tc_prod( Y, Y ), c_Product__Type_OPair( Y, Y, skol82( X, Y ),
% 0.88/1.32 skol41( X, Y ) ), X ), c_Relation_Oantisym( Y, X ) }.
% 0.88/1.32 { ! skol41( X, Y ) = skol82( X, Y ), c_Relation_Oantisym( Y, X ) }.
% 0.88/1.32 { c_member( tc_prod( Y, Y ), c_Product__Type_OPair( Y, Y, skol42( X, Y ),
% 0.88/1.32 skol42( X, Y ) ), c_Transitive__Closure_Otrancl( Y, X ) ), ! c_member(
% 0.88/1.32 tc_prod( Y, Y ), c_Product__Type_OPair( Y, Y, T, Z ), X ), ! T = Z }.
% 0.88/1.32 { ! c_member( tc_prod( T, T ), c_Product__Type_OPair( T, T, Z, Y ),
% 0.88/1.32 c_Transitive__Closure_Otrancl( T, X ) ), c_member( tc_prod( T, T ),
% 0.88/1.32 c_Product__Type_OPair( T, T, Z, Y ), X ), c_member( tc_prod( T, T ),
% 0.88/1.32 c_Product__Type_OPair( T, T, Z, skol43( X, U, Z, T ) ), X ) }.
% 0.88/1.32 { ! c_member( tc_prod( T, T ), c_Product__Type_OPair( T, T, Z, Y ),
% 0.88/1.32 c_Transitive__Closure_Otrancl( T, X ) ), c_member( tc_prod( T, T ),
% 0.88/1.32 c_Product__Type_OPair( T, T, Z, Y ), X ), c_member( tc_prod( T, T ),
% 0.88/1.32 c_Product__Type_OPair( T, T, skol43( X, Y, Z, T ), Y ),
% 0.88/1.32 c_Transitive__Closure_Otrancl( T, X ) ) }.
% 0.88/1.32 { ! c_Wellfounded_Oacyclic( Y, c_Relation_Oconverse( Y, Y, X ) ),
% 0.88/1.32 c_Wellfounded_Oacyclic( Y, X ) }.
% 0.88/1.32 { ! c_Wellfounded_Oacyclic( Y, X ), c_Wellfounded_Oacyclic( Y,
% 0.88/1.32 c_Relation_Oconverse( Y, Y, X ) ) }.
% 0.88/1.32 { ! c_Wellfounded_Oacyclic( Y, X ), c_Relation_Oantisym( Y,
% 0.88/1.32 c_Transitive__Closure_Ortrancl( Y, X ) ) }.
% 0.88/1.32 { c_member( tc_prod( Y, Y ), c_Product__Type_OPair( Y, Y, skol44( X, Y ),
% 0.88/1.32 skol44( X, Y ) ), c_Transitive__Closure_Otrancl( Y, X ) ),
% 0.88/1.32 c_Wellfounded_Oacyclic( Y, X ) }.
% 0.88/1.32 { ! c_Wellfounded_Oacyclic( T, c_Set_Oinsert( tc_prod( T, T ),
% 0.88/1.32 c_Product__Type_OPair( T, T, Z, Y ), X ) ), c_Wellfounded_Oacyclic( T, X
% 0.88/1.32 ) }.
% 0.88/1.32 { ! c_Wellfounded_Oacyclic( T, c_Set_Oinsert( tc_prod( T, T ),
% 0.88/1.32 c_Product__Type_OPair( T, T, Z, Y ), X ) ), ! c_member( tc_prod( T, T ),
% 0.88/1.32 c_Product__Type_OPair( T, T, Y, Z ), c_Transitive__Closure_Ortrancl( T, X
% 0.88/1.32 ) ) }.
% 0.88/1.32 { ! c_Wellfounded_Oacyclic( T, X ), c_member( tc_prod( T, T ),
% 0.88/1.32 c_Product__Type_OPair( T, T, Y, Z ), c_Transitive__Closure_Ortrancl( T, X
% 0.88/1.32 ) ), c_Wellfounded_Oacyclic( T, c_Set_Oinsert( tc_prod( T, T ),
% 0.88/1.32 c_Product__Type_OPair( T, T, Z, Y ), X ) ) }.
% 0.88/1.32 { ! c_member( tc_prod( T, T ), c_Product__Type_OPair( T, T, Z, Y ),
% 0.88/1.32 c_Transitive__Closure_Otrancl( T, X ) ), c_member( tc_prod( T, T ),
% 0.88/1.32 c_Product__Type_OPair( T, T, Z, Y ), X ), c_member( tc_prod( T, T ),
% 0.88/1.32 c_Product__Type_OPair( T, T, Z, skol45( X, U, Z, T ) ),
% 0.88/1.32 c_Transitive__Closure_Otrancl( T, X ) ) }.
% 0.88/1.32 { ! c_member( tc_prod( T, T ), c_Product__Type_OPair( T, T, Z, Y ),
% 0.88/1.32 c_Transitive__Closure_Otrancl( T, X ) ), c_member( tc_prod( T, T ),
% 0.88/1.32 c_Product__Type_OPair( T, T, Z, Y ), X ), c_member( tc_prod( T, T ),
% 0.88/1.32 c_Product__Type_OPair( T, T, skol45( X, Y, Z, T ), Y ), X ) }.
% 0.88/1.32 { c_Lattices_Osemilattice__sup__class_Osup( tc_fun( tc_prod( Y, Y ),
% 0.88/1.32 tc_HOL_Obool ), c_Transitive__Closure_Otrancl( Y, X ), c_Relation_OId( Y
% 0.88/1.32 ) ) = c_Transitive__Closure_Ortrancl( Y, X ) }.
% 0.88/1.32 { c_Transitive__Closure_Otrancl( Y,
% 0.88/1.32 c_Lattices_Osemilattice__sup__class_Osup( tc_fun( tc_prod( Y, Y ),
% 0.88/1.32 tc_HOL_Obool ), X, c_Relation_OId( Y ) ) ) =
% 0.88/1.32 c_Transitive__Closure_Ortrancl( Y, X ) }.
% 0.88/1.32 { c_Relation_Oirrefl( Y, c_Groups_Ominus__class_Ominus( tc_fun( tc_prod( Y
% 0.88/1.32 , Y ), tc_HOL_Obool ), X, c_Relation_OId( Y ) ) ) }.
% 0.88/1.32 { ! hBOOL( hAPP( c_Lattices_Osemilattice__sup__class_Osup( tc_fun( T,
% 0.88/1.32 tc_HOL_Obool ), Z, Y ), X ) ), hBOOL( hAPP( Z, X ) ), hBOOL( hAPP( Y, X )
% 0.88/1.32 ) }.
% 0.88/1.32 { ! hBOOL( hAPP( Z, Y ) ), hBOOL( hAPP(
% 0.88/1.32 c_Lattices_Osemilattice__sup__class_Osup( tc_fun( T, tc_HOL_Obool ), X, Z
% 0.88/1.32 ), Y ) ) }.
% 0.88/1.32 { ! hBOOL( hAPP( X, Y ) ), hBOOL( hAPP(
% 0.88/1.32 c_Lattices_Osemilattice__sup__class_Osup( tc_fun( T, tc_HOL_Obool ), X, Z
% 0.88/1.32 ), Y ) ) }.
% 0.88/1.32 { ! c_member( T, Z, c_Set_Oinsert( T, Y, X ) ), Z = Y, c_member( T, Z, X )
% 0.88/1.32 }.
% 0.88/1.32 { ! c_member( T, Z, Y ), c_member( T, Z, c_Set_Oinsert( T, X, Y ) ) }.
% 0.88/1.32 { ! Z = X, c_member( T, Z, c_Set_Oinsert( T, X, Y ) ) }.
% 0.88/1.32 { ! c_member( T, Z, c_Lattices_Osemilattice__sup__class_Osup( tc_fun( T,
% 0.88/1.32 tc_HOL_Obool ), Y, X ) ), c_member( T, Z, Y ), c_member( T, Z, X ) }.
% 0.88/1.32 { ! c_member( T, Z, Y ), c_member( T, Z,
% 0.88/1.32 c_Lattices_Osemilattice__sup__class_Osup( tc_fun( T, tc_HOL_Obool ), X, Y
% 0.88/1.32 ) ) }.
% 0.88/1.32 { ! c_member( T, Z, X ), c_member( T, Z,
% 0.88/1.32 c_Lattices_Osemilattice__sup__class_Osup( tc_fun( T, tc_HOL_Obool ), X, Y
% 0.88/1.32 ) ) }.
% 0.88/1.32 { ! c_member( Z, Y, X ), c_member( Z, Y, T ), c_member( Z, Y,
% 0.88/1.32 c_Groups_Ominus__class_Ominus( tc_fun( Z, tc_HOL_Obool ), X, T ) ) }.
% 0.88/1.32 { ! c_member( T, Z, c_Groups_Ominus__class_Ominus( tc_fun( T, tc_HOL_Obool
% 0.88/1.32 ), Y, X ) ), c_member( T, Z, Y ) }.
% 0.88/1.32 { ! c_member( T, Z, c_Groups_Ominus__class_Ominus( tc_fun( T, tc_HOL_Obool
% 0.88/1.32 ), Y, X ) ), ! c_member( T, Z, X ) }.
% 0.88/1.32 { ! c_Relation_Orefl__on( Z, Y, X ), ! c_Relation_Orefl__on( Z, U, T ),
% 0.88/1.32 c_Relation_Orefl__on( Z, c_Lattices_Osemilattice__sup__class_Osup( tc_fun
% 0.88/1.32 ( Z, tc_HOL_Obool ), Y, U ), c_Lattices_Osemilattice__sup__class_Osup(
% 0.88/1.32 tc_fun( tc_prod( Z, Z ), tc_HOL_Obool ), X, T ) ) }.
% 0.88/1.32 { c_Lattices_Osemilattice__sup__class_Osup( tc_fun( Y, tc_HOL_Obool ), X, X
% 0.88/1.32 ) = X }.
% 0.88/1.32 { c_Lattices_Osemilattice__sup__class_Osup( tc_fun( Z, tc_HOL_Obool ), Y, X
% 0.88/1.32 ) = c_Lattices_Osemilattice__sup__class_Osup( tc_fun( Z, tc_HOL_Obool )
% 0.88/1.32 , X, Y ) }.
% 0.88/1.32 { c_Set_Oinsert( Z, Y, c_Set_Oinsert( Z, Y, X ) ) = c_Set_Oinsert( Z, Y, X
% 0.88/1.32 ) }.
% 0.88/1.32 { c_Lattices_Osemilattice__sup__class_Osup( tc_fun( Z, tc_HOL_Obool ), Y,
% 0.88/1.32 c_Groups_Ominus__class_Ominus( tc_fun( Z, tc_HOL_Obool ), X, Y ) ) =
% 0.88/1.32 c_Lattices_Osemilattice__sup__class_Osup( tc_fun( Z, tc_HOL_Obool ), Y, X
% 0.88/1.32 ) }.
% 0.88/1.32 { c_Lattices_Osemilattice__sup__class_Osup( tc_fun( Z, tc_HOL_Obool ), Y,
% 0.88/1.32 c_Lattices_Osemilattice__sup__class_Osup( tc_fun( Z, tc_HOL_Obool ), Y, X
% 0.88/1.32 ) ) = c_Lattices_Osemilattice__sup__class_Osup( tc_fun( Z, tc_HOL_Obool
% 0.88/1.32 ), Y, X ) }.
% 0.88/1.32 { c_Set_Oinsert( T, Z, c_Set_Oinsert( T, Y, X ) ) = c_Set_Oinsert( T, Y,
% 0.88/1.32 c_Set_Oinsert( T, Z, X ) ) }.
% 0.88/1.32 { c_Lattices_Osemilattice__sup__class_Osup( tc_fun( T, tc_HOL_Obool ), Z,
% 0.88/1.32 c_Set_Oinsert( T, Y, X ) ) = c_Set_Oinsert( T, Y,
% 0.88/1.32 c_Lattices_Osemilattice__sup__class_Osup( tc_fun( T, tc_HOL_Obool ), Z, X
% 0.88/1.32 ) ) }.
% 0.88/1.32 { c_Lattices_Osemilattice__sup__class_Osup( tc_fun( T, tc_HOL_Obool ), Z,
% 0.88/1.32 c_Lattices_Osemilattice__sup__class_Osup( tc_fun( T, tc_HOL_Obool ), Y, X
% 0.88/1.32 ) ) = c_Lattices_Osemilattice__sup__class_Osup( tc_fun( T, tc_HOL_Obool
% 0.88/1.32 ), Y, c_Lattices_Osemilattice__sup__class_Osup( tc_fun( T, tc_HOL_Obool
% 0.88/1.32 ), Z, X ) ) }.
% 0.88/1.32 { c_Groups_Ominus__class_Ominus( tc_fun( Z, tc_HOL_Obool ),
% 0.88/1.32 c_Groups_Ominus__class_Ominus( tc_fun( Z, tc_HOL_Obool ), Y, X ), X ) =
% 0.88/1.32 c_Groups_Ominus__class_Ominus( tc_fun( Z, tc_HOL_Obool ), Y, X ) }.
% 0.88/1.32 { c_Lattices_Osemilattice__sup__class_Osup( tc_fun( Z, tc_HOL_Obool ),
% 0.88/1.32 c_Groups_Ominus__class_Ominus( tc_fun( Z, tc_HOL_Obool ), Y, X ), X ) =
% 0.88/1.32 c_Lattices_Osemilattice__sup__class_Osup( tc_fun( Z, tc_HOL_Obool ), Y, X
% 0.88/1.32 ) }.
% 0.88/1.32 { c_Lattices_Osemilattice__sup__class_Osup( tc_fun( T, tc_HOL_Obool ),
% 0.88/1.32 c_Set_Oinsert( T, Z, Y ), X ) = c_Set_Oinsert( T, Z,
% 0.88/1.32 c_Lattices_Osemilattice__sup__class_Osup( tc_fun( T, tc_HOL_Obool ), Y, X
% 0.88/1.32 ) ) }.
% 0.88/1.32 { c_Lattices_Osemilattice__sup__class_Osup( tc_fun( T, tc_HOL_Obool ),
% 0.88/1.32 c_Lattices_Osemilattice__sup__class_Osup( tc_fun( T, tc_HOL_Obool ), Z, Y
% 0.88/1.32 ), X ) = c_Lattices_Osemilattice__sup__class_Osup( tc_fun( T,
% 0.88/1.32 tc_HOL_Obool ), Z, c_Lattices_Osemilattice__sup__class_Osup( tc_fun( T,
% 0.88/1.32 tc_HOL_Obool ), Y, X ) ) }.
% 0.88/1.32 { c_Groups_Ominus__class_Ominus( tc_fun( T, tc_HOL_Obool ),
% 0.88/1.32 c_Lattices_Osemilattice__sup__class_Osup( tc_fun( T, tc_HOL_Obool ), Z, Y
% 0.88/1.32 ), X ) = c_Lattices_Osemilattice__sup__class_Osup( tc_fun( T,
% 0.88/1.32 tc_HOL_Obool ), c_Groups_Ominus__class_Ominus( tc_fun( T, tc_HOL_Obool )
% 0.88/1.32 , Z, X ), c_Groups_Ominus__class_Ominus( tc_fun( T, tc_HOL_Obool ), Y, X
% 0.88/1.32 ) ) }.
% 0.88/1.32 { ! alpha32( X, Y, Z, T ), alpha9( X, Z, T ), alpha22( X, Y, T ) }.
% 0.88/1.32 { ! alpha9( X, Z, T ), alpha32( X, Y, Z, T ) }.
% 0.88/1.32 { ! alpha22( X, Y, T ), alpha32( X, Y, Z, T ) }.
% 0.88/1.32 { ! alpha32( X, Y, Z, T ), hBOOL( hAPP( X, skol46( X, U, W, V0 ) ) ) }.
% 0.88/1.32 { ! alpha32( X, Y, Z, T ), c_member( T, skol46( X, Y, Z, T ),
% 0.88/1.32 c_Lattices_Osemilattice__sup__class_Osup( tc_fun( T, tc_HOL_Obool ), Z, Y
% 0.88/1.32 ) ) }.
% 0.88/1.32 { ! c_member( T, U, c_Lattices_Osemilattice__sup__class_Osup( tc_fun( T,
% 0.88/1.32 tc_HOL_Obool ), Z, Y ) ), ! hBOOL( hAPP( X, U ) ), alpha32( X, Y, Z, T )
% 0.88/1.32 }.
% 0.88/1.32 { ! alpha22( X, Y, Z ), hBOOL( hAPP( X, skol47( X, T, U ) ) ) }.
% 0.88/1.32 { ! alpha22( X, Y, Z ), c_member( Z, skol47( X, Y, Z ), Y ) }.
% 0.88/1.32 { ! c_member( Z, T, Y ), ! hBOOL( hAPP( X, T ) ), alpha22( X, Y, Z ) }.
% 0.88/1.32 { ! alpha9( X, Y, Z ), hBOOL( hAPP( X, skol48( X, T, U ) ) ) }.
% 0.88/1.32 { ! alpha9( X, Y, Z ), c_member( Z, skol48( X, Y, Z ), Y ) }.
% 0.88/1.32 { ! c_member( Z, T, Y ), ! hBOOL( hAPP( X, T ) ), alpha9( X, Y, Z ) }.
% 0.88/1.32 { ! alpha33( X, Y, Z, T ), alpha10( X, Z, T ) }.
% 0.88/1.32 { ! alpha33( X, Y, Z, T ), alpha23( X, Y, T ) }.
% 0.88/1.32 { ! alpha10( X, Z, T ), ! alpha23( X, Y, T ), alpha33( X, Y, Z, T ) }.
% 0.88/1.32 { ! alpha33( X, Y, Z, T ), ! c_member( T, U,
% 0.88/1.32 c_Lattices_Osemilattice__sup__class_Osup( tc_fun( T, tc_HOL_Obool ), Z, Y
% 0.88/1.32 ) ), hBOOL( hAPP( X, U ) ) }.
% 0.88/1.32 { ! hBOOL( hAPP( X, skol49( X, U, W, V0 ) ) ), alpha33( X, Y, Z, T ) }.
% 0.88/1.32 { c_member( T, skol49( X, Y, Z, T ),
% 0.88/1.32 c_Lattices_Osemilattice__sup__class_Osup( tc_fun( T, tc_HOL_Obool ), Z, Y
% 0.88/1.32 ) ), alpha33( X, Y, Z, T ) }.
% 0.88/1.32 { ! alpha23( X, Y, Z ), ! c_member( Z, T, Y ), hBOOL( hAPP( X, T ) ) }.
% 0.88/1.32 { ! hBOOL( hAPP( X, skol50( X, T, U ) ) ), alpha23( X, Y, Z ) }.
% 0.88/1.32 { c_member( Z, skol50( X, Y, Z ), Y ), alpha23( X, Y, Z ) }.
% 0.88/1.32 { ! alpha10( X, Y, Z ), ! c_member( Z, T, Y ), hBOOL( hAPP( X, T ) ) }.
% 0.88/1.32 { ! hBOOL( hAPP( X, skol51( X, T, U ) ) ), alpha10( X, Y, Z ) }.
% 0.88/1.32 { c_member( Z, skol51( X, Y, Z ), Y ), alpha10( X, Y, Z ) }.
% 0.88/1.32 { ! hBOOL( hAPP( c_Set_Oinsert( T, Z, Y ), X ) ), Z = X, hBOOL( hAPP( Y, X
% 0.88/1.32 ) ) }.
% 0.88/1.32 { ! Z = X, hBOOL( hAPP( c_Set_Oinsert( T, Z, Y ), X ) ) }.
% 0.88/1.32 { ! hBOOL( hAPP( Y, X ) ), hBOOL( hAPP( c_Set_Oinsert( T, Z, Y ), X ) ) }.
% 0.88/1.32 { ! c_member( T, Z, Y ), c_Groups_Ominus__class_Ominus( tc_fun( T,
% 0.88/1.32 tc_HOL_Obool ), c_Set_Oinsert( T, Z, X ), Y ) =
% 0.88/1.32 c_Groups_Ominus__class_Ominus( tc_fun( T, tc_HOL_Obool ), X, Y ) }.
% 0.88/1.32 { c_member( T, Z, Y ), c_Groups_Ominus__class_Ominus( tc_fun( T,
% 0.88/1.32 tc_HOL_Obool ), c_Set_Oinsert( T, Z, X ), Y ) = c_Set_Oinsert( T, Z,
% 0.88/1.32 c_Groups_Ominus__class_Ominus( tc_fun( T, tc_HOL_Obool ), X, Y ) ) }.
% 0.88/1.32 { ! c_member( Z, Y, X ), c_Groups_Ominus__class_Ominus( tc_fun( Z,
% 0.88/1.32 tc_HOL_Obool ), c_Set_Oinsert( Z, Y, T ), X ) =
% 0.88/1.32 c_Groups_Ominus__class_Ominus( tc_fun( Z, tc_HOL_Obool ), T, X ) }.
% 0.88/1.32 { ! hBOOL( hAPP( Y, X ) ), hBOOL( hAPP(
% 0.88/1.32 c_Lattices_Osemilattice__sup__class_Osup( tc_fun( T, tc_HOL_Obool ), Y, Z
% 0.88/1.32 ), X ) ) }.
% 0.88/1.32 { ! hBOOL( hAPP( Y, X ) ), hBOOL( hAPP(
% 0.88/1.32 c_Lattices_Osemilattice__sup__class_Osup( tc_fun( T, tc_HOL_Obool ), Z, Y
% 0.88/1.32 ), X ) ) }.
% 0.88/1.32 { c_Relation_ORange( T, Z, c_Lattices_Osemilattice__sup__class_Osup( tc_fun
% 0.88/1.32 ( tc_prod( T, Z ), tc_HOL_Obool ), Y, X ) ) =
% 0.88/1.32 c_Lattices_Osemilattice__sup__class_Osup( tc_fun( Z, tc_HOL_Obool ),
% 0.88/1.32 c_Relation_ORange( T, Z, Y ), c_Relation_ORange( T, Z, X ) ) }.
% 0.88/1.32 { c_Relation_ODomain( T, Z, c_Lattices_Osemilattice__sup__class_Osup(
% 0.88/1.32 tc_fun( tc_prod( T, Z ), tc_HOL_Obool ), Y, X ) ) =
% 0.88/1.32 c_Lattices_Osemilattice__sup__class_Osup( tc_fun( T, tc_HOL_Obool ),
% 0.88/1.32 c_Relation_ODomain( T, Z, Y ), c_Relation_ODomain( T, Z, X ) ) }.
% 0.88/1.32 { c_Relation_ODomain( U, T, c_Set_Oinsert( tc_prod( U, T ),
% 0.88/1.32 c_Product__Type_OPair( U, T, Z, Y ), X ) ) = c_Set_Oinsert( U, Z,
% 0.88/1.32 c_Relation_ODomain( U, T, X ) ) }.
% 0.88/1.32 { c_Relation_ORange( U, T, c_Set_Oinsert( tc_prod( U, T ),
% 0.88/1.32 c_Product__Type_OPair( U, T, Z, Y ), X ) ) = c_Set_Oinsert( T, Y,
% 0.88/1.32 c_Relation_ORange( U, T, X ) ) }.
% 0.88/1.32 { ! c_member( T, Z, c_Groups_Ominus__class_Ominus( tc_fun( T, tc_HOL_Obool
% 0.88/1.32 ), Y, X ) ), c_member( T, Z, Y ) }.
% 0.88/1.32 { ! c_member( T, Z, c_Groups_Ominus__class_Ominus( tc_fun( T, tc_HOL_Obool
% 0.88/1.32 ), Y, X ) ), ! c_member( T, Z, X ) }.
% 0.88/1.32 { ! c_member( T, Z, Y ), c_member( T, Z, X ), c_member( T, Z,
% 0.88/1.32 c_Groups_Ominus__class_Ominus( tc_fun( T, tc_HOL_Obool ), Y, X ) ) }.
% 0.88/1.32 { ! c_member( Z, Y, c_Groups_Ominus__class_Ominus( tc_fun( Z, tc_HOL_Obool
% 0.88/1.32 ), X, T ) ), c_member( Z, Y, X ) }.
% 0.88/1.32 { ! c_member( Z, Y, c_Groups_Ominus__class_Ominus( tc_fun( Z, tc_HOL_Obool
% 0.88/1.32 ), T, X ) ), ! c_member( Z, Y, X ) }.
% 0.88/1.32 { ! c_member( T, Z, c_Lattices_Osemilattice__sup__class_Osup( tc_fun( T,
% 0.88/1.32 tc_HOL_Obool ), Y, X ) ), c_member( T, Z, Y ), c_member( T, Z, X ) }.
% 0.88/1.32 { ! c_member( T, Z, Y ), c_member( T, Z,
% 0.88/1.32 c_Lattices_Osemilattice__sup__class_Osup( tc_fun( T, tc_HOL_Obool ), Y, X
% 0.88/1.32 ) ) }.
% 0.88/1.32 { ! c_member( T, Z, X ), c_member( T, Z,
% 0.88/1.32 c_Lattices_Osemilattice__sup__class_Osup( tc_fun( T, tc_HOL_Obool ), Y, X
% 0.88/1.32 ) ) }.
% 0.88/1.32 { ! c_member( Z, Y, X ), c_member( Z, Y,
% 0.88/1.32 c_Lattices_Osemilattice__sup__class_Osup( tc_fun( Z, tc_HOL_Obool ), X, T
% 0.88/1.32 ) ) }.
% 0.88/1.32 { ! c_member( Z, Y, X ), c_member( Z, Y,
% 0.88/1.32 c_Lattices_Osemilattice__sup__class_Osup( tc_fun( Z, tc_HOL_Obool ), T, X
% 0.88/1.32 ) ) }.
% 0.88/1.32 { c_member( Z, Y, c_Set_Oinsert( Z, Y, X ) ) }.
% 0.88/1.32 { ! c_member( T, Z, c_Set_Oinsert( T, Y, X ) ), Z = Y, c_member( T, Z, X )
% 0.88/1.32 }.
% 0.88/1.32 { ! Z = Y, c_member( T, Z, c_Set_Oinsert( T, Y, X ) ) }.
% 0.88/1.32 { ! c_member( T, Z, X ), c_member( T, Z, c_Set_Oinsert( T, Y, X ) ) }.
% 0.88/1.32 { c_member( Z, Y, X ), c_member( Z, Y, T ), ! c_Set_Oinsert( Z, Y, X ) =
% 0.88/1.32 c_Set_Oinsert( Z, Y, T ), X = T }.
% 0.88/1.32 { c_member( Z, Y, X ), c_member( Z, Y, T ), ! X = T, c_Set_Oinsert( Z, Y, X
% 0.88/1.32 ) = c_Set_Oinsert( Z, Y, T ) }.
% 0.88/1.32 { ! c_member( Z, Y, X ), c_member( Z, Y, c_Set_Oinsert( Z, T, X ) ) }.
% 0.88/1.32 { ! c_member( Z, Y, X ), c_Set_Oinsert( Z, Y, X ) = X }.
% 0.88/1.32 { c_Transitive__Closure_Ortrancl( Z,
% 0.88/1.32 c_Lattices_Osemilattice__sup__class_Osup( tc_fun( tc_prod( Z, Z ),
% 0.88/1.32 tc_HOL_Obool ), c_Transitive__Closure_Ortrancl( Z, Y ),
% 0.88/1.32 c_Transitive__Closure_Ortrancl( Z, X ) ) ) =
% 0.88/1.32 c_Transitive__Closure_Ortrancl( Z,
% 0.88/1.32 c_Lattices_Osemilattice__sup__class_Osup( tc_fun( tc_prod( Z, Z ),
% 0.88/1.32 tc_HOL_Obool ), Y, X ) ) }.
% 0.88/1.32 { c_Relation_Oconverse( T, Z, c_Lattices_Osemilattice__sup__class_Osup(
% 0.88/1.32 tc_fun( tc_prod( T, Z ), tc_HOL_Obool ), Y, X ) ) =
% 0.88/1.32 c_Lattices_Osemilattice__sup__class_Osup( tc_fun( tc_prod( Z, T ),
% 0.88/1.32 tc_HOL_Obool ), c_Relation_Oconverse( T, Z, Y ), c_Relation_Oconverse( T
% 0.88/1.32 , Z, X ) ) }.
% 0.88/1.32 { ! c_member( tc_prod( T, T ), Z, c_Transitive__Closure_Ortrancl( T, Y ) )
% 0.88/1.32 , c_member( tc_prod( T, T ), Z, c_Transitive__Closure_Ortrancl( T,
% 0.88/1.32 c_Lattices_Osemilattice__sup__class_Osup( tc_fun( tc_prod( T, T ),
% 0.88/1.32 tc_HOL_Obool ), Y, X ) ) ) }.
% 0.88/1.32 { ! c_member( tc_prod( T, T ), Z, c_Transitive__Closure_Ortrancl( T, X ) )
% 0.88/1.32 , c_member( tc_prod( T, T ), Z, c_Transitive__Closure_Ortrancl( T,
% 0.88/1.32 c_Lattices_Osemilattice__sup__class_Osup( tc_fun( tc_prod( T, T ),
% 0.88/1.32 tc_HOL_Obool ), Y, X ) ) ) }.
% 0.88/1.32 { c_Transitive__Closure_Ortrancl( Y, c_Groups_Ominus__class_Ominus( tc_fun
% 0.88/1.32 ( tc_prod( Y, Y ), tc_HOL_Obool ), X, c_Relation_OId( Y ) ) ) =
% 0.88/1.32 c_Transitive__Closure_Ortrancl( Y, X ) }.
% 0.88/1.32 { c_Transitive__Closure_Ortrancl( Y,
% 0.88/1.32 c_Lattices_Osemilattice__sup__class_Osup( tc_fun( tc_prod( Y, Y ),
% 0.88/1.32 tc_HOL_Obool ), X, c_Relation_OId( Y ) ) ) =
% 0.88/1.32 c_Transitive__Closure_Ortrancl( Y, X ) }.
% 0.88/1.32 { c_Lattices_Osemilattice__sup__class_Osup( tc_fun( tc_prod( Y, Y ),
% 0.88/1.32 tc_HOL_Obool ), c_Transitive__Closure_Ortrancl( Y, X ), c_Relation_OId( Y
% 0.88/1.32 ) ) = c_Transitive__Closure_Ortrancl( Y, X ) }.
% 0.88/1.32 { ! c_Relation_Oantisym( Y, c_Lattices_Osemilattice__sup__class_Osup(
% 0.88/1.32 tc_fun( tc_prod( Y, Y ), tc_HOL_Obool ), X, c_Relation_OId( Y ) ) ),
% 0.88/1.32 c_Relation_Oantisym( Y, X ) }.
% 0.88/1.32 { ! c_Relation_Oantisym( Y, X ), c_Relation_Oantisym( Y,
% 0.88/1.32 c_Lattices_Osemilattice__sup__class_Osup( tc_fun( tc_prod( Y, Y ),
% 0.88/1.32 tc_HOL_Obool ), X, c_Relation_OId( Y ) ) ) }.
% 0.88/1.32 { ! c_Relation_Ototal__on( Z, Y, c_Groups_Ominus__class_Ominus( tc_fun(
% 0.88/1.32 tc_prod( Z, Z ), tc_HOL_Obool ), X, c_Relation_OId( Z ) ) ),
% 0.88/1.32 c_Relation_Ototal__on( Z, Y, X ) }.
% 0.88/1.32 { ! c_Relation_Ototal__on( Z, Y, X ), c_Relation_Ototal__on( Z, Y,
% 0.88/1.32 c_Groups_Ominus__class_Ominus( tc_fun( tc_prod( Z, Z ), tc_HOL_Obool ), X
% 0.88/1.32 , c_Relation_OId( Z ) ) ) }.
% 0.88/1.32 { ! class_Groups_Ominus( X ), hAPP( c_Groups_Ominus__class_Ominus( tc_fun(
% 0.88/1.32 U, X ), T, Z ), Y ) = c_Groups_Ominus__class_Ominus( X, hAPP( T, Y ),
% 0.88/1.32 hAPP( Z, Y ) ) }.
% 0.88/1.32 { ! class_Lattices_Olattice( X ), hAPP(
% 0.88/1.32 c_Lattices_Osemilattice__sup__class_Osup( tc_fun( U, X ), T, Z ), Y ) =
% 0.88/1.32 c_Lattices_Osemilattice__sup__class_Osup( X, hAPP( T, Y ), hAPP( Z, Y ) )
% 0.88/1.32 }.
% 0.88/1.32 { ! c_member( tc_prod( U, U ), c_Product__Type_OPair( U, U, T, Z ),
% 0.88/1.32 c_Transitive__Closure_Ortrancl( U,
% 0.88/1.32 c_Lattices_Osemilattice__sup__class_Osup( tc_fun( tc_prod( U, U ),
% 0.88/1.32 tc_HOL_Obool ), Y, X ) ) ), c_member( tc_prod( U, U ),
% 0.88/1.32 c_Product__Type_OPair( U, U, skol83( X, U, W, V0 ), skol52( X, W, V0, U )
% 0.88/1.32 ), X ), c_member( tc_prod( U, U ), c_Product__Type_OPair( U, U, T, Z ),
% 0.88/1.32 c_Transitive__Closure_Ortrancl( U, Y ) ) }.
% 0.88/1.32 { ! c_member( tc_prod( U, U ), c_Product__Type_OPair( U, U, T, Z ),
% 0.88/1.32 c_Transitive__Closure_Ortrancl( U,
% 0.88/1.32 c_Lattices_Osemilattice__sup__class_Osup( tc_fun( tc_prod( U, U ),
% 0.88/1.32 tc_HOL_Obool ), Y, X ) ) ), ! skol83( X, U, W, V0 ) = skol52( X, W, V0, U
% 0.88/1.32 ), c_member( tc_prod( U, U ), c_Product__Type_OPair( U, U, T, Z ),
% 0.88/1.32 c_Transitive__Closure_Ortrancl( U, Y ) ) }.
% 0.88/1.32 { ! c_member( tc_prod( U, U ), c_Product__Type_OPair( U, U, T, Z ),
% 0.88/1.32 c_Transitive__Closure_Ortrancl( U,
% 0.88/1.32 c_Lattices_Osemilattice__sup__class_Osup( tc_fun( tc_prod( U, U ),
% 0.88/1.32 tc_HOL_Obool ), Y, X ) ) ), c_member( tc_prod( U, U ),
% 0.88/1.32 c_Product__Type_OPair( U, U, skol52( X, Y, Z, U ), Z ),
% 0.88/1.32 c_Transitive__Closure_Ortrancl( U, Y ) ), c_member( tc_prod( U, U ),
% 0.88/1.32 c_Product__Type_OPair( U, U, T, Z ), c_Transitive__Closure_Ortrancl( U, Y
% 0.88/1.32 ) ) }.
% 0.88/1.32 { ! c_member( tc_prod( U, U ), c_Product__Type_OPair( U, U, T, Z ),
% 0.88/1.32 c_Transitive__Closure_Ortrancl( U,
% 0.88/1.32 c_Lattices_Osemilattice__sup__class_Osup( tc_fun( tc_prod( U, U ),
% 0.88/1.32 tc_HOL_Obool ), Y, X ) ) ), c_member( tc_prod( U, U ),
% 0.88/1.32 c_Product__Type_OPair( U, U, skol53( X, W, V0, U ), skol84( X, U, W, V0 )
% 0.88/1.32 ), X ), c_member( tc_prod( U, U ), c_Product__Type_OPair( U, U, T, Z ),
% 0.88/1.32 c_Transitive__Closure_Ortrancl( U, Y ) ) }.
% 0.88/1.32 { ! c_member( tc_prod( U, U ), c_Product__Type_OPair( U, U, T, Z ),
% 0.88/1.32 c_Transitive__Closure_Ortrancl( U,
% 0.88/1.32 c_Lattices_Osemilattice__sup__class_Osup( tc_fun( tc_prod( U, U ),
% 0.88/1.32 tc_HOL_Obool ), Y, X ) ) ), ! skol53( X, W, V0, U ) = skol84( X, U, W, V0
% 0.88/1.32 ), c_member( tc_prod( U, U ), c_Product__Type_OPair( U, U, T, Z ),
% 0.88/1.32 c_Transitive__Closure_Ortrancl( U, Y ) ) }.
% 0.88/1.32 { ! c_member( tc_prod( U, U ), c_Product__Type_OPair( U, U, T, Z ),
% 0.88/1.32 c_Transitive__Closure_Ortrancl( U,
% 0.88/1.32 c_Lattices_Osemilattice__sup__class_Osup( tc_fun( tc_prod( U, U ),
% 0.88/1.32 tc_HOL_Obool ), Y, X ) ) ), c_member( tc_prod( U, U ),
% 0.88/1.32 c_Product__Type_OPair( U, U, T, skol53( X, Y, T, U ) ),
% 0.88/1.32 c_Transitive__Closure_Ortrancl( U, Y ) ), c_member( tc_prod( U, U ),
% 0.88/1.32 c_Product__Type_OPair( U, U, T, Z ), c_Transitive__Closure_Ortrancl( U, Y
% 0.88/1.32 ) ) }.
% 0.88/1.32 { ! c_Relation_Otrans( Y, X ), ! c_Relation_Oantisym( Y, X ),
% 0.88/1.32 c_Relation_Otrans( Y, c_Groups_Ominus__class_Ominus( tc_fun( tc_prod( Y,
% 0.88/1.32 Y ), tc_HOL_Obool ), X, c_Relation_OId( Y ) ) ) }.
% 0.88/1.32 { ! c_Wellfounded_Owf( T, c_Set_Oinsert( tc_prod( T, T ),
% 0.88/1.32 c_Product__Type_OPair( T, T, Z, Y ), X ) ), c_Wellfounded_Owf( T, X ) }.
% 0.88/1.32 { ! c_Wellfounded_Owf( T, c_Set_Oinsert( tc_prod( T, T ),
% 0.88/1.32 c_Product__Type_OPair( T, T, Z, Y ), X ) ), ! c_member( tc_prod( T, T ),
% 0.88/1.32 c_Product__Type_OPair( T, T, Y, Z ), c_Transitive__Closure_Ortrancl( T, X
% 0.88/1.32 ) ) }.
% 0.88/1.32 { ! c_Wellfounded_Owf( T, X ), c_member( tc_prod( T, T ),
% 0.88/1.32 c_Product__Type_OPair( T, T, Y, Z ), c_Transitive__Closure_Ortrancl( T, X
% 0.88/1.32 ) ), c_Wellfounded_Owf( T, c_Set_Oinsert( tc_prod( T, T ),
% 0.88/1.32 c_Product__Type_OPair( T, T, Z, Y ), X ) ) }.
% 0.88/1.32 { ! c_Wellfounded_Owf( Y, X ), c_Wellfounded_Owf( T, hAPP(
% 0.88/1.32 c_Relation_Oinv__image( Y, T, X ), Z ) ) }.
% 0.88/1.32 { ! c_Wellfounded_Owf( Y, X ), ! c_Wellfounded_Owf( T, Z ),
% 0.88/1.32 c_Wellfounded_Owf( tc_prod( Y, T ), c_Wellfounded_Olex__prod( Y, T, X, Z
% 0.88/1.32 ) ) }.
% 0.88/1.32 { ! c_Relation_Otrans( Y, X ), ! c_Relation_Otrans( T, Z ),
% 0.88/1.32 c_Relation_Otrans( tc_prod( Y, T ), c_Wellfounded_Olex__prod( Y, T, X, Z
% 0.88/1.32 ) ) }.
% 0.88/1.32 { ! c_Wellfounded_Owf( Y, X ), c_Wellfounded_Owf( Y,
% 0.88/1.32 c_Transitive__Closure_Otrancl( Y, X ) ) }.
% 0.88/1.32 { ! c_Wellfounded_Owf( Y, X ), c_Wellfounded_Oacyclic( Y, X ) }.
% 0.88/1.32 { c_Relation_Otrans( Y, c_Transitive__Closure_Ortrancl( Y, X ) ) }.
% 0.88/1.32 { ! c_Relation_Otrans( Y, X ), c_Transitive__Closure_Otrancl( Y, X ) = X }
% 0.88/1.32 .
% 0.88/1.32 { c_Relation_Otrans( Y, c_Transitive__Closure_Otrancl( Y, X ) ) }.
% 0.88/1.32 { ! c_Relation_Otrans( Y, c_Relation_Oconverse( Y, Y, X ) ),
% 0.88/1.32 c_Relation_Otrans( Y, X ) }.
% 0.88/1.32 { ! c_Relation_Otrans( Y, X ), c_Relation_Otrans( Y, c_Relation_Oconverse(
% 0.88/1.32 Y, Y, X ) ) }.
% 0.88/1.32 { c_Relation_Otrans( X, c_Relation_OId( X ) ) }.
% 0.88/1.32 { c_Relation_Otrans( Y, c_Relation_OId__on( Y, X ) ) }.
% 0.88/1.32 { ! c_Relation_Otrans( Y, X ), c_Relation_Otrans( T, hAPP(
% 0.88/1.32 c_Relation_Oinv__image( Y, T, X ), Z ) ) }.
% 0.88/1.32 { ! c_Wellfounded_Owf( Y, X ), ! c_member( tc_prod( Y, Y ),
% 0.88/1.32 c_Product__Type_OPair( Y, Y, Z, Z ), X ) }.
% 0.88/1.32 { ! c_Wellfounded_Owf( Y, X ), ! c_member( tc_prod( Y, Y ),
% 0.88/1.32 c_Product__Type_OPair( Y, Y, T, Z ), X ), ! c_member( tc_prod( Y, Y ),
% 0.88/1.32 c_Product__Type_OPair( Y, Y, Z, T ), X ) }.
% 0.88/1.32 { ! c_Wellfounded_Owf( Y, X ), ! c_member( tc_prod( Y, Y ),
% 0.88/1.32 c_Product__Type_OPair( Y, Y, T, Z ), X ), ! c_member( tc_prod( Y, Y ),
% 0.88/1.32 c_Product__Type_OPair( Y, Y, Z, T ), X ) }.
% 0.88/1.32 { ! c_Wellfounded_Owf( Y, X ), ! c_member( tc_prod( Y, Y ),
% 0.88/1.32 c_Product__Type_OPair( Y, Y, Z, Z ), X ) }.
% 0.88/1.32 { ! c_Wellfounded_Owf( Y, X ), c_member( Y, Z, c_Wellfounded_Oacc( Y, X ) )
% 0.88/1.32 }.
% 0.88/1.32 { ! c_Wellfounded_Owf( Y, X ), c_member( Y, Z, c_Wellfounded_Oacc( Y, X ) )
% 0.88/1.32 }.
% 0.88/1.32 { ! c_member( Y, skol54( X, Y ), c_Wellfounded_Oacc( Y, X ) ),
% 0.88/1.32 c_Wellfounded_Owf( Y, X ) }.
% 0.88/1.32 { ! c_Wellfounded_Owf( Y, c_Relation_Oconverse( Y, Y, X ) ),
% 0.88/1.32 c_Wellfounded_Owf( Y, c_Relation_Oconverse( Y, Y,
% 0.88/1.32 c_Transitive__Closure_Otrancl( Y, X ) ) ) }.
% 0.88/1.32 { ! c_Relation_Otrans( Y, X ), ! c_member( tc_prod( Y, Y ),
% 0.88/1.32 c_Product__Type_OPair( Y, Y, T, Z ), X ), ! c_member( tc_prod( Y, Y ),
% 0.88/1.32 c_Product__Type_OPair( Y, Y, Z, U ), X ), c_member( tc_prod( Y, Y ),
% 0.88/1.32 c_Product__Type_OPair( Y, Y, T, U ), X ) }.
% 0.88/1.32 { ! c_Relation_Otrans( Y, X ), ! c_member( tc_prod( Y, Y ),
% 0.88/1.32 c_Product__Type_OPair( Y, Y, Z, T ), X ), alpha11( X, Y, Z, T ) }.
% 0.88/1.32 { c_member( tc_prod( Y, Y ), c_Product__Type_OPair( Y, Y, skol55( X, Y ),
% 0.88/1.32 skol85( X, Y ) ), X ), c_Relation_Otrans( Y, X ) }.
% 0.88/1.32 { ! alpha11( X, Y, skol55( X, Y ), skol85( X, Y ) ), c_Relation_Otrans( Y,
% 0.88/1.32 X ) }.
% 0.88/1.32 { ! alpha11( X, Y, Z, T ), ! c_member( tc_prod( Y, Y ),
% 0.88/1.32 c_Product__Type_OPair( Y, Y, T, U ), X ), c_member( tc_prod( Y, Y ),
% 0.88/1.32 c_Product__Type_OPair( Y, Y, Z, U ), X ) }.
% 0.88/1.32 { c_member( tc_prod( Y, Y ), c_Product__Type_OPair( Y, Y, T, skol56( X, Y,
% 0.88/1.32 U, T ) ), X ), alpha11( X, Y, Z, T ) }.
% 0.88/1.32 { ! c_member( tc_prod( Y, Y ), c_Product__Type_OPair( Y, Y, Z, skol56( X, Y
% 0.88/1.32 , Z, T ) ), X ), alpha11( X, Y, Z, T ) }.
% 0.88/1.32 { ! c_Relation_Otrans( Y, X ), c_Relation_Otrans( Y,
% 0.88/1.32 c_Lattices_Osemilattice__sup__class_Osup( tc_fun( tc_prod( Y, Y ),
% 0.88/1.32 tc_HOL_Obool ), X, c_Relation_OId( Y ) ) ) }.
% 0.88/1.32 { ! class_Lattices_Osemilattice__sup( X ),
% 0.88/1.32 c_Lattices_Osemilattice__sup__class_Osup( X, Y, Y ) = Y }.
% 0.88/1.32 { ! class_Lattices_Osemilattice__sup( X ),
% 0.88/1.32 c_Lattices_Osemilattice__sup__class_Osup( X, Y, Y ) = Y }.
% 0.88/1.32 { ! class_Lattices_Osemilattice__sup( X ),
% 0.88/1.32 c_Lattices_Osemilattice__sup__class_Osup( X, Z, Y ) =
% 0.88/1.32 c_Lattices_Osemilattice__sup__class_Osup( X, Y, Z ) }.
% 0.88/1.32 { ! class_Lattices_Olattice( X ), c_Lattices_Osemilattice__sup__class_Osup
% 0.88/1.32 ( X, Z, Y ) = c_Lattices_Osemilattice__sup__class_Osup( X, Y, Z ) }.
% 0.88/1.32 { ! class_Lattices_Osemilattice__sup( X ),
% 0.88/1.32 c_Lattices_Osemilattice__sup__class_Osup( X, Z, Y ) =
% 0.88/1.32 c_Lattices_Osemilattice__sup__class_Osup( X, Y, Z ) }.
% 0.88/1.32 { ! class_Lattices_Osemilattice__sup( X ),
% 0.88/1.32 c_Lattices_Osemilattice__sup__class_Osup( X, Z,
% 0.88/1.32 c_Lattices_Osemilattice__sup__class_Osup( X, Z, Y ) ) =
% 0.88/1.32 c_Lattices_Osemilattice__sup__class_Osup( X, Z, Y ) }.
% 0.88/1.32 { ! class_Lattices_Olattice( X ), c_Lattices_Osemilattice__sup__class_Osup
% 0.88/1.32 ( X, Z, c_Lattices_Osemilattice__sup__class_Osup( X, Z, Y ) ) =
% 0.88/1.32 c_Lattices_Osemilattice__sup__class_Osup( X, Z, Y ) }.
% 0.88/1.32 { ! class_Lattices_Osemilattice__sup( X ),
% 0.88/1.32 c_Lattices_Osemilattice__sup__class_Osup( X, Z,
% 0.88/1.32 c_Lattices_Osemilattice__sup__class_Osup( X, Z, Y ) ) =
% 0.88/1.32 c_Lattices_Osemilattice__sup__class_Osup( X, Z, Y ) }.
% 0.88/1.32 { ! class_Lattices_Osemilattice__sup( X ),
% 0.88/1.32 c_Lattices_Osemilattice__sup__class_Osup( X, T,
% 0.88/1.32 c_Lattices_Osemilattice__sup__class_Osup( X, Z, Y ) ) =
% 0.88/1.32 c_Lattices_Osemilattice__sup__class_Osup( X, Z,
% 0.88/1.32 c_Lattices_Osemilattice__sup__class_Osup( X, T, Y ) ) }.
% 0.88/1.32 { ! class_Lattices_Olattice( X ), c_Lattices_Osemilattice__sup__class_Osup
% 0.88/1.32 ( X, T, c_Lattices_Osemilattice__sup__class_Osup( X, Z, Y ) ) =
% 0.88/1.32 c_Lattices_Osemilattice__sup__class_Osup( X, Z,
% 0.88/1.32 c_Lattices_Osemilattice__sup__class_Osup( X, T, Y ) ) }.
% 0.88/1.32 { ! class_Lattices_Osemilattice__sup( X ),
% 0.88/1.32 c_Lattices_Osemilattice__sup__class_Osup( X, T,
% 0.88/1.32 c_Lattices_Osemilattice__sup__class_Osup( X, Z, Y ) ) =
% 0.88/1.32 c_Lattices_Osemilattice__sup__class_Osup( X, Z,
% 0.88/1.32 c_Lattices_Osemilattice__sup__class_Osup( X, T, Y ) ) }.
% 0.88/1.32 { ! class_Lattices_Osemilattice__sup( X ),
% 0.88/1.32 c_Lattices_Osemilattice__sup__class_Osup( X,
% 0.88/1.32 c_Lattices_Osemilattice__sup__class_Osup( X, T, Z ), Y ) =
% 0.88/1.32 c_Lattices_Osemilattice__sup__class_Osup( X, T,
% 0.88/1.32 c_Lattices_Osemilattice__sup__class_Osup( X, Z, Y ) ) }.
% 0.88/1.32 { ! class_Lattices_Olattice( X ), c_Lattices_Osemilattice__sup__class_Osup
% 0.88/1.32 ( X, c_Lattices_Osemilattice__sup__class_Osup( X, T, Z ), Y ) =
% 0.88/1.32 c_Lattices_Osemilattice__sup__class_Osup( X, T,
% 0.88/1.32 c_Lattices_Osemilattice__sup__class_Osup( X, Z, Y ) ) }.
% 0.88/1.32 { ! class_Lattices_Osemilattice__sup( X ),
% 0.88/1.32 c_Lattices_Osemilattice__sup__class_Osup( X,
% 0.88/1.32 c_Lattices_Osemilattice__sup__class_Osup( X, T, Z ), Y ) =
% 0.88/1.32 c_Lattices_Osemilattice__sup__class_Osup( X, T,
% 0.88/1.32 c_Lattices_Osemilattice__sup__class_Osup( X, Z, Y ) ) }.
% 0.88/1.32 { ! c_Order__Relation_Ostrict__linear__order__on( Z, Y, X ),
% 0.88/1.32 c_Relation_Otrans( Z, X ) }.
% 0.88/1.32 { ! c_Order__Relation_Ostrict__linear__order__on( Z, Y, X ), alpha12( X, Y
% 0.88/1.32 , Z ) }.
% 0.88/1.32 { ! c_Relation_Otrans( Z, X ), ! alpha12( X, Y, Z ),
% 0.88/1.32 c_Order__Relation_Ostrict__linear__order__on( Z, Y, X ) }.
% 0.88/1.32 { ! alpha12( X, Y, Z ), c_Relation_Oirrefl( Z, X ) }.
% 0.88/1.32 { ! alpha12( X, Y, Z ), c_Relation_Ototal__on( Z, Y, X ) }.
% 0.88/1.32 { ! c_Relation_Oirrefl( Z, X ), ! c_Relation_Ototal__on( Z, Y, X ), alpha12
% 0.88/1.32 ( X, Y, Z ) }.
% 0.88/1.32 { c_Wellfounded_Owf( Y, hAPP( c_Wellfounded_Omeasure( Y ), X ) ) }.
% 0.88/1.32 { ! U = c_Recdef_Owfrec( T, Z, Y, X ), ! c_Wellfounded_Owf( T, Y ), hAPP( U
% 0.88/1.32 , W ) = hAPP( hAPP( X, c_Recdef_Ocut( T, Z, U, Y, W ) ), W ) }.
% 0.88/1.32 { ! c_Wellfounded_Owf( Y, X ), hAPP( c_Recdef_Owfrec( Y, U, X, T ), Z ) =
% 0.88/1.32 hAPP( hAPP( T, c_Recdef_Ocut( Y, U, c_Recdef_Owfrec( Y, U, X, T ), X, Z )
% 0.88/1.32 ), Z ) }.
% 0.88/1.32 { ! c_Wellfounded_Owf( X, Y ), hAPP( c_Recdef_Owfrec( X, Z, Y, T ), U ) =
% 0.88/1.32 hAPP( hAPP( T, c_Recdef_Ocut( X, Z, c_Recdef_Owfrec( X, Z, Y, T ), Y, U )
% 0.88/1.32 ), U ) }.
% 0.88/1.32 { ! c_Order__Relation_Olinear__order__on( Z, Y, X ),
% 0.88/1.32 c_Order__Relation_Ostrict__linear__order__on( Z, Y,
% 0.88/1.32 c_Groups_Ominus__class_Ominus( tc_fun( tc_prod( Z, Z ), tc_HOL_Obool ), X
% 0.88/1.32 , c_Relation_OId( Z ) ) ) }.
% 0.88/1.32 { hBOOL( hAPP( Z, skol57( T, U, Z ) ) ), c_Wellfounded_Owf( tc_prod( W, Y )
% 0.88/1.32 , c_Recdef_Osame__fst( W, Y, Z, X ) ) }.
% 0.88/1.32 { ! c_Wellfounded_Owf( Y, hAPP( X, skol57( X, Y, Z ) ) ), c_Wellfounded_Owf
% 0.88/1.32 ( tc_prod( T, Y ), c_Recdef_Osame__fst( T, Y, Z, X ) ) }.
% 0.88/1.32 { ! c_Order__Relation_Opreorder__on( Z, Y, X ), c_Relation_Orefl__on( Z, Y
% 0.88/1.32 , X ) }.
% 0.88/1.32 { ! c_Order__Relation_Opreorder__on( Z, Y, X ), c_Relation_Otrans( Z, X ) }
% 0.88/1.32 .
% 0.88/1.32 { ! c_Relation_Orefl__on( Z, Y, X ), ! c_Relation_Otrans( Z, X ),
% 0.88/1.32 c_Order__Relation_Opreorder__on( Z, Y, X ) }.
% 0.88/1.32 { ! c_Wellfounded_Owf( Y, X ), ! c_member( Y, T, Z ), alpha13( X, Y, Z ) }
% 0.88/1.32 .
% 0.88/1.32 { c_member( Y, skol86( Y, Z ), skol58( Z, Y ) ), c_Wellfounded_Owf( Y, X )
% 0.88/1.32 }.
% 0.88/1.32 { ! alpha13( X, Y, skol58( X, Y ) ), c_Wellfounded_Owf( Y, X ) }.
% 0.88/1.32 { ! alpha13( X, Y, Z ), c_member( Y, skol59( T, Y, Z ), Z ) }.
% 0.88/1.32 { ! alpha13( X, Y, Z ), alpha24( X, Y, Z, skol59( X, Y, Z ) ) }.
% 0.88/1.32 { ! c_member( Y, T, Z ), ! alpha24( X, Y, Z, T ), alpha13( X, Y, Z ) }.
% 0.88/1.32 { ! alpha24( X, Y, Z, T ), ! c_member( tc_prod( Y, Y ),
% 0.88/1.32 c_Product__Type_OPair( Y, Y, U, T ), X ), ! c_member( Y, U, Z ) }.
% 0.88/1.32 { c_member( Y, skol60( U, Y, Z, W ), Z ), alpha24( X, Y, Z, T ) }.
% 0.88/1.32 { c_member( tc_prod( Y, Y ), c_Product__Type_OPair( Y, Y, skol60( X, Y, Z,
% 0.88/1.32 T ), T ), X ), alpha24( X, Y, Z, T ) }.
% 0.88/1.32 { ! c_Order__Relation_Opreorder__on( Z, Y, c_Relation_Oconverse( Z, Z, X )
% 0.88/1.32 ), c_Order__Relation_Opreorder__on( Z, Y, X ) }.
% 0.88/1.32 { ! c_Order__Relation_Opreorder__on( Z, Y, X ),
% 0.88/1.32 c_Order__Relation_Opreorder__on( Z, Y, c_Relation_Oconverse( Z, Z, X ) )
% 0.88/1.32 }.
% 0.88/1.32 { ! c_Order__Relation_Olinear__order__on( Z, Y, c_Relation_Oconverse( Z, Z
% 0.88/1.32 , X ) ), c_Order__Relation_Olinear__order__on( Z, Y, X ) }.
% 0.88/1.32 { ! c_Order__Relation_Olinear__order__on( Z, Y, X ),
% 0.88/1.32 c_Order__Relation_Olinear__order__on( Z, Y, c_Relation_Oconverse( Z, Z, X
% 0.88/1.32 ) ) }.
% 0.88/1.32 { ! c_Order__Relation_Owell__order__on( Z, Y, X ),
% 0.88/1.32 c_Order__Relation_Olinear__order__on( Z, Y, X ) }.
% 0.88/1.32 { ! c_Order__Relation_Owell__order__on( Z, Y, X ), c_Wellfounded_Owf( Z,
% 0.88/1.32 c_Groups_Ominus__class_Ominus( tc_fun( tc_prod( Z, Z ), tc_HOL_Obool ), X
% 0.88/1.32 , c_Relation_OId( Z ) ) ) }.
% 0.88/1.32 { ! c_Order__Relation_Olinear__order__on( Z, Y, X ), ! c_Wellfounded_Owf( Z
% 0.88/1.32 , c_Groups_Ominus__class_Ominus( tc_fun( tc_prod( Z, Z ), tc_HOL_Obool )
% 0.88/1.32 , X, c_Relation_OId( Z ) ) ), c_Order__Relation_Owell__order__on( Z, Y, X
% 0.88/1.32 ) }.
% 0.88/1.32 { ! c_Order__Relation_Olinear__order__on( Z, Y, X ),
% 0.88/1.32 c_Order__Relation_Opartial__order__on( Z, Y, X ) }.
% 0.88/1.32 { ! c_Order__Relation_Olinear__order__on( Z, Y, X ), c_Relation_Ototal__on
% 0.88/1.32 ( Z, Y, X ) }.
% 0.88/1.32 { ! c_Order__Relation_Opartial__order__on( Z, Y, X ), !
% 0.88/1.32 c_Relation_Ototal__on( Z, Y, X ), c_Order__Relation_Olinear__order__on( Z
% 0.88/1.32 , Y, X ) }.
% 0.88/1.32 { ! c_Order__Relation_Opartial__order__on( Z, Y, X ),
% 0.88/1.32 c_Order__Relation_Opreorder__on( Z, Y, X ) }.
% 0.88/1.32 { ! c_Order__Relation_Opartial__order__on( Z, Y, X ), c_Relation_Oantisym(
% 0.88/1.32 Z, X ) }.
% 0.88/1.32 { ! c_Order__Relation_Opreorder__on( Z, Y, X ), ! c_Relation_Oantisym( Z, X
% 0.88/1.32 ), c_Order__Relation_Opartial__order__on( Z, Y, X ) }.
% 0.88/1.32 { ! c_Wellfounded_Owf( Y, X ), c_Wellfounded_OwfP( Y, c_FunDef_Oin__rel( Y
% 0.88/1.32 , Y, X ) ) }.
% 0.88/1.32 { ! c_Order__Relation_Opartial__order__on( Z, Y, c_Relation_Oconverse( Z, Z
% 0.88/1.32 , X ) ), c_Order__Relation_Opartial__order__on( Z, Y, X ) }.
% 0.88/1.32 { ! c_Order__Relation_Opartial__order__on( Z, Y, X ),
% 0.88/1.32 c_Order__Relation_Opartial__order__on( Z, Y, c_Relation_Oconverse( Z, Z,
% 0.88/1.32 X ) ) }.
% 0.88/1.32 { ! c_member( Y, skol61( X, Y ), c_Wellfounded_Oacc( Y, X ) ),
% 0.88/1.32 c_Wellfounded_Owf( Y, X ) }.
% 0.88/1.32 { c_Relation_OField( Y, X ) = c_Lattices_Osemilattice__sup__class_Osup(
% 0.88/1.32 tc_fun( Y, tc_HOL_Obool ), c_Relation_ODomain( Y, Y, X ),
% 0.88/1.32 c_Relation_ORange( Y, Y, X ) ) }.
% 0.88/1.32 { ! c_member( tc_prod( T, T ), c_Product__Type_OPair( T, T, Z, Y ), hAPP(
% 0.88/1.32 c_Wellfounded_Omeasure( T ), X ) ), c_Orderings_Oord__class_Oless(
% 0.88/1.32 tc_Nat_Onat, hAPP( X, Z ), hAPP( X, Y ) ) }.
% 0.88/1.32 { ! c_Orderings_Oord__class_Oless( tc_Nat_Onat, hAPP( X, Z ), hAPP( X, Y )
% 0.88/1.32 ), c_member( tc_prod( T, T ), c_Product__Type_OPair( T, T, Z, Y ), hAPP
% 0.88/1.32 ( c_Wellfounded_Omeasure( T ), X ) ) }.
% 0.88/1.32 { c_member( tc_prod( Y, Y ), c_Product__Type_OPair( Y, Y, skol62( X, Y ),
% 0.88/1.32 skol87( X, Y ) ), X ), c_Relation_Otrans( Y, X ) }.
% 0.88/1.32 { c_member( tc_prod( Y, Y ), c_Product__Type_OPair( Y, Y, skol87( X, Y ),
% 0.88/1.32 skol92( X, Y ) ), X ), c_Relation_Otrans( Y, X ) }.
% 0.88/1.32 { ! c_member( tc_prod( Y, Y ), c_Product__Type_OPair( Y, Y, skol62( X, Y )
% 0.88/1.32 , skol92( X, Y ) ), X ), c_Relation_Otrans( Y, X ) }.
% 0.88/1.32 { ! class_Lattices_Osemilattice__sup( X ), ! c_Orderings_Oord__class_Oless
% 0.88/1.32 ( X, Z, Y ), c_Orderings_Oord__class_Oless( X, Z,
% 0.88/1.32 c_Lattices_Osemilattice__sup__class_Osup( X, Y, T ) ) }.
% 0.88/1.32 { ! class_Lattices_Osemilattice__sup( X ), ! c_Orderings_Oord__class_Oless
% 0.88/1.32 ( X, Z, Y ), c_Orderings_Oord__class_Oless( X, Z,
% 0.88/1.32 c_Lattices_Osemilattice__sup__class_Osup( X, T, Y ) ) }.
% 0.88/1.32 { c_Relation_OField( Y, c_Relation_Oconverse( Y, Y, X ) ) =
% 0.88/1.32 c_Relation_OField( Y, X ) }.
% 0.88/1.32 { c_Relation_OField( Z, c_Lattices_Osemilattice__sup__class_Osup( tc_fun(
% 0.88/1.32 tc_prod( Z, Z ), tc_HOL_Obool ), Y, X ) ) =
% 0.88/1.32 c_Lattices_Osemilattice__sup__class_Osup( tc_fun( Z, tc_HOL_Obool ),
% 0.88/1.32 c_Relation_OField( Z, Y ), c_Relation_OField( Z, X ) ) }.
% 0.88/1.32 { ! c_Orderings_Oord__class_Oless( tc_Nat_Onat, hAPP( Z, Y ), hAPP( Z, X )
% 0.88/1.32 ), c_member( tc_prod( U, U ), c_Product__Type_OPair( U, U, Y, X ),
% 0.88/1.32 c_Wellfounded_Omlex__prod( U, Z, T ) ) }.
% 0.88/1.32 { ! class_Groups_Oordered__ab__group__add( X ), !
% 0.88/1.32 c_Groups_Ominus__class_Ominus( X, U, T ) = c_Groups_Ominus__class_Ominus
% 0.88/1.32 ( X, Z, Y ), ! c_Orderings_Oord__class_Oless( X, U, T ),
% 0.88/1.32 c_Orderings_Oord__class_Oless( X, Z, Y ) }.
% 0.88/1.32 { ! class_Groups_Oordered__ab__group__add( X ), !
% 0.88/1.32 c_Groups_Ominus__class_Ominus( X, U, T ) = c_Groups_Ominus__class_Ominus
% 0.88/1.32 ( X, Z, Y ), ! c_Orderings_Oord__class_Oless( X, Z, Y ),
% 0.88/1.32 c_Orderings_Oord__class_Oless( X, U, T ) }.
% 0.88/1.32 { c_Relation_OField( T, c_Set_Oinsert( tc_prod( T, T ),
% 0.88/1.32 c_Product__Type_OPair( T, T, Z, Y ), X ) ) =
% 0.88/1.32 c_Lattices_Osemilattice__sup__class_Osup( tc_fun( T, tc_HOL_Obool ),
% 0.88/1.32 c_Set_Oinsert( T, Z, c_Set_Oinsert( T, Y, c_Orderings_Obot__class_Obot(
% 0.88/1.32 tc_fun( T, tc_HOL_Obool ) ) ) ), c_Relation_OField( T, X ) ) }.
% 0.88/1.32 { c_Wellfounded_Omeasure( X ) = c_Relation_Oinv__image( tc_Nat_Onat, X,
% 0.88/1.32 c_Wellfounded_Oless__than ) }.
% 0.88/1.32 { c_Wellfounded_Owf( X, c_Orderings_Obot__class_Obot( tc_fun( tc_prod( X, X
% 0.88/1.32 ), tc_HOL_Obool ) ) ) }.
% 0.88/1.32 { c_Relation_Otrans( tc_Nat_Onat, c_Wellfounded_Oless__than ) }.
% 0.88/1.32 { c_Wellfounded_Owf( tc_Nat_Onat, c_Wellfounded_Oless__than ) }.
% 0.88/1.32 { ! c_member( Y, X, c_Orderings_Obot__class_Obot( tc_fun( Y, tc_HOL_Obool )
% 0.88/1.32 ) ) }.
% 0.88/1.32 { ! c_Orderings_Oord__class_Oless( tc_fun( Y, tc_HOL_Obool ), X,
% 0.88/1.32 c_Orderings_Obot__class_Obot( tc_fun( Y, tc_HOL_Obool ) ) ) }.
% 0.88/1.32 { c_Relation_OField( X, c_Orderings_Obot__class_Obot( tc_fun( tc_prod( X, X
% 0.88/1.32 ), tc_HOL_Obool ) ) ) = c_Orderings_Obot__class_Obot( tc_fun( X,
% 0.88/1.32 tc_HOL_Obool ) ) }.
% 0.88/1.32 { ! c_Orderings_Oord__class_Oless( tc_fun( Z, tc_HOL_Obool ), Y, X ), !
% 0.88/1.32 c_member( Z, T, Y ), c_member( Z, T, X ) }.
% 0.88/1.32 { c_Order__Relation_Olinear__order__on( X, c_Orderings_Obot__class_Obot(
% 0.88/1.32 tc_fun( X, tc_HOL_Obool ) ), c_Orderings_Obot__class_Obot( tc_fun(
% 0.88/1.32 tc_prod( X, X ), tc_HOL_Obool ) ) ) }.
% 0.88/1.32 { c_Order__Relation_Opreorder__on( X, c_Orderings_Obot__class_Obot( tc_fun
% 0.88/1.32 ( X, tc_HOL_Obool ) ), c_Orderings_Obot__class_Obot( tc_fun( tc_prod( X,
% 0.88/1.32 X ), tc_HOL_Obool ) ) ) }.
% 0.88/1.32 { ! Y = c_Orderings_Obot__class_Obot( tc_fun( X, tc_HOL_Obool ) ), !
% 0.88/1.32 c_member( X, Z, Y ) }.
% 0.88/1.32 { ! c_member( Y, X, c_Orderings_Obot__class_Obot( tc_fun( Y, tc_HOL_Obool )
% 0.88/1.32 ) ) }.
% 0.88/1.32 { ! c_member( Y, Z, X ), ! X = c_Orderings_Obot__class_Obot( tc_fun( Y,
% 0.88/1.32 tc_HOL_Obool ) ) }.
% 0.88/1.32 { X = c_Orderings_Obot__class_Obot( tc_fun( Y, tc_HOL_Obool ) ), c_member(
% 0.88/1.32 Y, skol63( X, Y ), X ) }.
% 0.88/1.32 { c_member( Y, skol64( X, Y ), X ), X = c_Orderings_Obot__class_Obot(
% 0.88/1.32 tc_fun( Y, tc_HOL_Obool ) ) }.
% 0.88/1.32 { ! X = c_Orderings_Obot__class_Obot( tc_fun( Y, tc_HOL_Obool ) ), !
% 0.88/1.32 c_member( Y, Z, X ) }.
% 0.88/1.32 { c_Relation_Orefl__on( X, c_Orderings_Obot__class_Obot( tc_fun( X,
% 0.88/1.32 tc_HOL_Obool ) ), c_Orderings_Obot__class_Obot( tc_fun( tc_prod( X, X ),
% 0.88/1.32 tc_HOL_Obool ) ) ) }.
% 0.88/1.32 { ! c_Relation_ODomain( Z, Y, X ) = c_Orderings_Obot__class_Obot( tc_fun( Z
% 0.88/1.32 , tc_HOL_Obool ) ), X = c_Orderings_Obot__class_Obot( tc_fun( tc_prod( Z
% 0.88/1.32 , Y ), tc_HOL_Obool ) ) }.
% 0.88/1.32 { ! X = c_Orderings_Obot__class_Obot( tc_fun( tc_prod( Z, Y ), tc_HOL_Obool
% 0.88/1.32 ) ), c_Relation_ODomain( Z, Y, X ) = c_Orderings_Obot__class_Obot(
% 0.88/1.32 tc_fun( Z, tc_HOL_Obool ) ) }.
% 0.88/1.32 { c_Relation_ODomain( Y, X, c_Orderings_Obot__class_Obot( tc_fun( tc_prod(
% 0.88/1.32 Y, X ), tc_HOL_Obool ) ) ) = c_Orderings_Obot__class_Obot( tc_fun( Y,
% 0.88/1.32 tc_HOL_Obool ) ) }.
% 0.88/1.32 { c_Relation_ORange( Y, X, c_Orderings_Obot__class_Obot( tc_fun( tc_prod( Y
% 0.88/1.32 , X ), tc_HOL_Obool ) ) ) = c_Orderings_Obot__class_Obot( tc_fun( X,
% 0.88/1.32 tc_HOL_Obool ) ) }.
% 0.88/1.32 { ! c_Relation_ORange( Z, Y, X ) = c_Orderings_Obot__class_Obot( tc_fun( Y
% 0.88/1.32 , tc_HOL_Obool ) ), X = c_Orderings_Obot__class_Obot( tc_fun( tc_prod( Z
% 0.88/1.32 , Y ), tc_HOL_Obool ) ) }.
% 0.88/1.32 { ! X = c_Orderings_Obot__class_Obot( tc_fun( tc_prod( Z, Y ), tc_HOL_Obool
% 0.88/1.32 ) ), c_Relation_ORange( Z, Y, X ) = c_Orderings_Obot__class_Obot( tc_fun
% 0.88/1.32 ( Y, tc_HOL_Obool ) ) }.
% 0.88/1.32 { c_Product__Type_OSigma( Z, Y, c_Orderings_Obot__class_Obot( tc_fun( Z,
% 0.88/1.32 tc_HOL_Obool ) ), X ) = c_Orderings_Obot__class_Obot( tc_fun( tc_prod( Z
% 0.88/1.32 , Y ), tc_HOL_Obool ) ) }.
% 0.88/1.32 { c_Relation_OId__on( X, c_Orderings_Obot__class_Obot( tc_fun( X,
% 0.88/1.32 tc_HOL_Obool ) ) ) = c_Orderings_Obot__class_Obot( tc_fun( tc_prod( X, X
% 0.88/1.32 ), tc_HOL_Obool ) ) }.
% 0.88/1.32 { c_Transitive__Closure_Otrancl( X, c_Orderings_Obot__class_Obot( tc_fun(
% 0.88/1.32 tc_prod( X, X ), tc_HOL_Obool ) ) ) = c_Orderings_Obot__class_Obot(
% 0.88/1.32 tc_fun( tc_prod( X, X ), tc_HOL_Obool ) ) }.
% 0.88/1.32 { c_Groups_Ominus__class_Ominus( tc_fun( Y, tc_HOL_Obool ), X, X ) =
% 0.88/1.32 c_Orderings_Obot__class_Obot( tc_fun( Y, tc_HOL_Obool ) ) }.
% 0.88/1.32 { c_Groups_Ominus__class_Ominus( tc_fun( Y, tc_HOL_Obool ), X,
% 0.88/1.32 c_Orderings_Obot__class_Obot( tc_fun( Y, tc_HOL_Obool ) ) ) = X }.
% 0.88/1.32 { c_Groups_Ominus__class_Ominus( tc_fun( Y, tc_HOL_Obool ),
% 0.88/1.32 c_Orderings_Obot__class_Obot( tc_fun( Y, tc_HOL_Obool ) ), X ) =
% 0.88/1.32 c_Orderings_Obot__class_Obot( tc_fun( Y, tc_HOL_Obool ) ) }.
% 0.88/1.32 { ! c_Lattices_Osemilattice__sup__class_Osup( tc_fun( Z, tc_HOL_Obool ), Y
% 0.88/1.32 , X ) = c_Orderings_Obot__class_Obot( tc_fun( Z, tc_HOL_Obool ) ), Y =
% 0.88/1.32 c_Orderings_Obot__class_Obot( tc_fun( Z, tc_HOL_Obool ) ) }.
% 0.88/1.32 { ! c_Lattices_Osemilattice__sup__class_Osup( tc_fun( Z, tc_HOL_Obool ), Y
% 0.88/1.32 , X ) = c_Orderings_Obot__class_Obot( tc_fun( Z, tc_HOL_Obool ) ), X =
% 0.88/1.32 c_Orderings_Obot__class_Obot( tc_fun( Z, tc_HOL_Obool ) ) }.
% 0.88/1.32 { ! Y = c_Orderings_Obot__class_Obot( tc_fun( Z, tc_HOL_Obool ) ), ! X =
% 0.88/1.32 c_Orderings_Obot__class_Obot( tc_fun( Z, tc_HOL_Obool ) ),
% 0.88/1.32 c_Lattices_Osemilattice__sup__class_Osup( tc_fun( Z, tc_HOL_Obool ), Y, X
% 0.88/1.32 ) = c_Orderings_Obot__class_Obot( tc_fun( Z, tc_HOL_Obool ) ) }.
% 0.88/1.32 { c_Lattices_Osemilattice__sup__class_Osup( tc_fun( Y, tc_HOL_Obool ), X,
% 0.88/1.32 c_Orderings_Obot__class_Obot( tc_fun( Y, tc_HOL_Obool ) ) ) = X }.
% 0.88/1.32 { c_Lattices_Osemilattice__sup__class_Osup( tc_fun( Y, tc_HOL_Obool ),
% 0.88/1.32 c_Orderings_Obot__class_Obot( tc_fun( Y, tc_HOL_Obool ) ), X ) = X }.
% 0.88/1.32 { ! c_Set_Oinsert( Z, Y, c_Orderings_Obot__class_Obot( tc_fun( Z,
% 0.88/1.32 tc_HOL_Obool ) ) ) = c_Set_Oinsert( Z, X, c_Orderings_Obot__class_Obot(
% 0.88/1.32 tc_fun( Z, tc_HOL_Obool ) ) ), Y = X }.
% 0.88/1.32 { ! c_Set_Oinsert( U, T, c_Set_Oinsert( U, Z, c_Orderings_Obot__class_Obot
% 0.88/1.32 ( tc_fun( U, tc_HOL_Obool ) ) ) ) = c_Set_Oinsert( U, Y, c_Set_Oinsert( U
% 0.88/1.32 , X, c_Orderings_Obot__class_Obot( tc_fun( U, tc_HOL_Obool ) ) ) ),
% 0.88/1.32 alpha14( X, Y, Z, T ), alpha25( X, Y, Z, T ) }.
% 0.88/1.32 { ! alpha14( X, Y, Z, T ), c_Set_Oinsert( U, T, c_Set_Oinsert( U, Z,
% 0.88/1.32 c_Orderings_Obot__class_Obot( tc_fun( U, tc_HOL_Obool ) ) ) ) =
% 0.88/1.32 c_Set_Oinsert( U, Y, c_Set_Oinsert( U, X, c_Orderings_Obot__class_Obot(
% 0.88/1.32 tc_fun( U, tc_HOL_Obool ) ) ) ) }.
% 0.88/1.32 { ! alpha25( X, Y, Z, T ), c_Set_Oinsert( U, T, c_Set_Oinsert( U, Z,
% 0.88/1.32 c_Orderings_Obot__class_Obot( tc_fun( U, tc_HOL_Obool ) ) ) ) =
% 0.88/1.32 c_Set_Oinsert( U, Y, c_Set_Oinsert( U, X, c_Orderings_Obot__class_Obot(
% 0.88/1.32 tc_fun( U, tc_HOL_Obool ) ) ) ) }.
% 0.88/1.32 { ! alpha25( X, Y, Z, T ), T = X }.
% 0.88/1.32 { ! alpha25( X, Y, Z, T ), Z = Y }.
% 0.88/1.32 { ! T = X, ! Z = Y, alpha25( X, Y, Z, T ) }.
% 0.88/1.32 { ! alpha14( X, Y, Z, T ), T = Y }.
% 0.88/1.32 { ! alpha14( X, Y, Z, T ), Z = X }.
% 0.88/1.32 { ! T = Y, ! Z = X, alpha14( X, Y, Z, T ) }.
% 0.88/1.32 { ! c_Set_Oinsert( Z, Y, X ) = c_Orderings_Obot__class_Obot( tc_fun( Z,
% 0.88/1.32 tc_HOL_Obool ) ) }.
% 0.88/1.32 { ! c_Orderings_Obot__class_Obot( tc_fun( Z, tc_HOL_Obool ) ) =
% 0.88/1.32 c_Set_Oinsert( Z, Y, X ) }.
% 0.88/1.32 { c_Relation_Oantisym( X, c_Orderings_Obot__class_Obot( tc_fun( tc_prod( X
% 0.88/1.32 , X ), tc_HOL_Obool ) ) ) }.
% 0.88/1.32 { c_Order__Relation_Opartial__order__on( X, c_Orderings_Obot__class_Obot(
% 0.88/1.32 tc_fun( X, tc_HOL_Obool ) ), c_Orderings_Obot__class_Obot( tc_fun(
% 0.88/1.32 tc_prod( X, X ), tc_HOL_Obool ) ) ) }.
% 0.88/1.32 { c_Order__Relation_Owell__order__on( X, c_Orderings_Obot__class_Obot(
% 0.88/1.32 tc_fun( X, tc_HOL_Obool ) ), c_Orderings_Obot__class_Obot( tc_fun(
% 0.88/1.32 tc_prod( X, X ), tc_HOL_Obool ) ) ) }.
% 0.88/1.32 { c_Relation_Ototal__on( Y, c_Orderings_Obot__class_Obot( tc_fun( Y,
% 0.88/1.32 tc_HOL_Obool ) ), X ) }.
% 0.88/1.32 { ! class_Lattices_Obounded__lattice__bot( X ),
% 0.88/1.32 c_Lattices_Osemilattice__sup__class_Osup( X, c_Orderings_Obot__class_Obot
% 0.88/1.32 ( X ), Y ) = Y }.
% 0.88/1.32 { ! class_Lattices_Obounded__lattice__bot( X ),
% 0.88/1.32 c_Lattices_Osemilattice__sup__class_Osup( X, Y,
% 0.88/1.32 c_Orderings_Obot__class_Obot( X ) ) = Y }.
% 0.88/1.32 { ! class_Lattices_Obounded__lattice__bot( X ), !
% 0.88/1.32 c_Lattices_Osemilattice__sup__class_Osup( X, Z, Y ) =
% 0.88/1.32 c_Orderings_Obot__class_Obot( X ), Z = c_Orderings_Obot__class_Obot( X )
% 0.88/1.32 }.
% 0.88/1.32 { ! class_Lattices_Obounded__lattice__bot( X ), !
% 0.88/1.32 c_Lattices_Osemilattice__sup__class_Osup( X, Z, Y ) =
% 0.88/1.32 c_Orderings_Obot__class_Obot( X ), Y = c_Orderings_Obot__class_Obot( X )
% 0.88/1.32 }.
% 0.88/1.32 { ! class_Lattices_Obounded__lattice__bot( X ), ! Z =
% 0.88/1.32 c_Orderings_Obot__class_Obot( X ), ! Y = c_Orderings_Obot__class_Obot( X
% 0.88/1.32 ), c_Lattices_Osemilattice__sup__class_Osup( X, Z, Y ) =
% 0.88/1.32 c_Orderings_Obot__class_Obot( X ) }.
% 0.88/1.32 { ! c_member( Z, Y, c_Set_Oinsert( Z, X, c_Orderings_Obot__class_Obot(
% 0.88/1.32 tc_fun( Z, tc_HOL_Obool ) ) ) ), Y = X }.
% 0.88/1.32 { ! Y = X, c_member( Z, Y, c_Set_Oinsert( Z, X,
% 0.88/1.32 c_Orderings_Obot__class_Obot( tc_fun( Z, tc_HOL_Obool ) ) ) ) }.
% 0.88/1.32 { ! c_member( Z, Y, c_Set_Oinsert( Z, X, c_Orderings_Obot__class_Obot(
% 0.88/1.32 tc_fun( Z, tc_HOL_Obool ) ) ) ), Y = X }.
% 0.88/1.32 { c_Set_Oinsert( Z, Y, X ) = c_Lattices_Osemilattice__sup__class_Osup(
% 0.88/1.32 tc_fun( Z, tc_HOL_Obool ), c_Set_Oinsert( Z, Y,
% 0.88/1.32 c_Orderings_Obot__class_Obot( tc_fun( Z, tc_HOL_Obool ) ) ), X ) }.
% 0.88/1.32 { c_Groups_Ominus__class_Ominus( tc_fun( T, tc_HOL_Obool ), Z,
% 0.88/1.32 c_Set_Oinsert( T, Y, X ) ) = c_Groups_Ominus__class_Ominus( tc_fun( T,
% 0.88/1.32 tc_HOL_Obool ), c_Groups_Ominus__class_Ominus( tc_fun( T, tc_HOL_Obool )
% 0.88/1.32 , Z, X ), c_Set_Oinsert( T, Y, c_Orderings_Obot__class_Obot( tc_fun( T,
% 0.88/1.32 tc_HOL_Obool ) ) ) ) }.
% 0.88/1.32 { c_Groups_Ominus__class_Ominus( tc_fun( T, tc_HOL_Obool ), Z,
% 0.88/1.32 c_Set_Oinsert( T, Y, X ) ) = c_Groups_Ominus__class_Ominus( tc_fun( T,
% 0.88/1.32 tc_HOL_Obool ), c_Groups_Ominus__class_Ominus( tc_fun( T, tc_HOL_Obool )
% 0.88/1.32 , Z, c_Set_Oinsert( T, Y, c_Orderings_Obot__class_Obot( tc_fun( T,
% 0.88/1.32 tc_HOL_Obool ) ) ) ), X ) }.
% 0.88/1.32 { c_Set_Oinsert( Z, Y, c_Groups_Ominus__class_Ominus( tc_fun( Z,
% 0.88/1.32 tc_HOL_Obool ), X, c_Set_Oinsert( Z, Y, c_Orderings_Obot__class_Obot(
% 0.88/1.32 tc_fun( Z, tc_HOL_Obool ) ) ) ) ) = c_Set_Oinsert( Z, Y, X ) }.
% 0.88/1.32 { ! c_member( tc_prod( tc_Nat_Onat, tc_Nat_Onat ), c_Product__Type_OPair(
% 0.88/1.32 tc_Nat_Onat, tc_Nat_Onat, Y, X ), c_Wellfounded_Oless__than ),
% 0.88/1.32 c_Orderings_Oord__class_Oless( tc_Nat_Onat, Y, X ) }.
% 0.88/1.32 { ! c_Orderings_Oord__class_Oless( tc_Nat_Onat, Y, X ), c_member( tc_prod(
% 0.88/1.32 tc_Nat_Onat, tc_Nat_Onat ), c_Product__Type_OPair( tc_Nat_Onat,
% 0.88/1.32 tc_Nat_Onat, Y, X ), c_Wellfounded_Oless__than ) }.
% 0.88/1.32 { c_Transitive__Closure_Ortrancl( X, c_Orderings_Obot__class_Obot( tc_fun(
% 0.88/1.32 tc_prod( X, X ), tc_HOL_Obool ) ) ) = c_Relation_OId( X ) }.
% 0.88/1.32 { ! c_member( Z, Y, X ), c_Set_Oinsert( Z, Y, c_Groups_Ominus__class_Ominus
% 0.88/1.32 ( tc_fun( Z, tc_HOL_Obool ), X, c_Set_Oinsert( Z, Y,
% 0.88/1.32 c_Orderings_Obot__class_Obot( tc_fun( Z, tc_HOL_Obool ) ) ) ) ) = X }.
% 0.88/1.32 { c_member( Z, Y, X ), c_Groups_Ominus__class_Ominus( tc_fun( Z,
% 0.88/1.32 tc_HOL_Obool ), c_Set_Oinsert( Z, Y, X ), c_Set_Oinsert( Z, Y,
% 0.88/1.32 c_Orderings_Obot__class_Obot( tc_fun( Z, tc_HOL_Obool ) ) ) ) = X }.
% 0.88/1.32 { ! class_Groups_Oab__group__add( X ), ! c_Groups_Ominus__class_Ominus( X,
% 0.88/1.32 U, T ) = c_Groups_Ominus__class_Ominus( X, Z, Y ), ! U = T, Z = Y }.
% 0.88/1.32 { ! class_Groups_Oab__group__add( X ), ! c_Groups_Ominus__class_Ominus( X,
% 0.88/1.32 U, T ) = c_Groups_Ominus__class_Ominus( X, Z, Y ), ! Z = Y, U = T }.
% 0.88/1.32 { ! c_Wellfounded_Owf( Y, X ), c_Wellfounded_Owf( Y,
% 0.88/1.32 c_Wellfounded_Omlex__prod( Y, Z, X ) ) }.
% 0.88/1.32 { c_Set_Othe__elem( Y, c_Set_Oinsert( Y, X, c_Orderings_Obot__class_Obot(
% 0.88/1.32 tc_fun( Y, tc_HOL_Obool ) ) ) ) = X }.
% 0.88/1.32 { ! c_member( Z, Y, X ), ! c_Nitpick_Ofold__graph_H( Z, V0, W, U,
% 0.88/1.32 c_Groups_Ominus__class_Ominus( tc_fun( Z, tc_HOL_Obool ), X,
% 0.88/1.32 c_Set_Oinsert( Z, Y, c_Orderings_Obot__class_Obot( tc_fun( Z,
% 0.88/1.32 tc_HOL_Obool ) ) ) ), T ), c_Nitpick_Ofold__graph_H( Z, V0, W, U, X, hAPP
% 0.88/1.32 ( hAPP( W, Y ), T ) ) }.
% 0.88/1.32 { ! class_Orderings_Obot( X ), hAPP( c_Orderings_Obot__class_Obot( tc_fun(
% 0.88/1.32 Z, X ) ), Y ) = c_Orderings_Obot__class_Obot( X ) }.
% 0.88/1.32 { ! c_Relation_Orefl__on( Y, c_Relation_OField( Y, X ), X ), !
% 0.88/1.32 c_Relation_Oantisym( Y, X ), ! c_member( Y, Z, c_Relation_OField( Y, X )
% 0.88/1.32 ), ! c_member( Y, T, c_Relation_OField( Y, X ) ), ! c_Relation_OImage( Y
% 0.88/1.32 , Y, X, c_Set_Oinsert( Y, Z, c_Orderings_Obot__class_Obot( tc_fun( Y,
% 0.88/1.32 tc_HOL_Obool ) ) ) ) = c_Relation_OImage( Y, Y, X, c_Set_Oinsert( Y, T,
% 0.88/1.32 c_Orderings_Obot__class_Obot( tc_fun( Y, tc_HOL_Obool ) ) ) ), Z = T }.
% 0.88/1.32 { ! c_Relation_Orefl__on( Y, c_Relation_OField( Y, X ), X ), !
% 0.88/1.32 c_Relation_Oantisym( Y, X ), ! c_member( Y, Z, c_Relation_OField( Y, X )
% 0.88/1.32 ), ! c_member( Y, T, c_Relation_OField( Y, X ) ), ! Z = T,
% 0.88/1.32 c_Relation_OImage( Y, Y, X, c_Set_Oinsert( Y, Z,
% 0.88/1.32 c_Orderings_Obot__class_Obot( tc_fun( Y, tc_HOL_Obool ) ) ) ) =
% 0.88/1.32 c_Relation_OImage( Y, Y, X, c_Set_Oinsert( Y, T,
% 0.88/1.32 c_Orderings_Obot__class_Obot( tc_fun( Y, tc_HOL_Obool ) ) ) ) }.
% 0.88/1.32 { ! c_Orderings_Oord__class_Oless( tc_fun( Z, tc_HOL_Obool ), Y, X ), !
% 0.88/1.32 c_Orderings_Oord__class_Oless( tc_fun( Z, tc_HOL_Obool ), X, T ),
% 0.88/1.32 c_Orderings_Oord__class_Oless( tc_fun( Z, tc_HOL_Obool ), Y, T ) }.
% 0.88/1.32 { c_Relation_OImage( Z, Y, X, c_Orderings_Obot__class_Obot( tc_fun( Z,
% 0.88/1.32 tc_HOL_Obool ) ) ) = c_Orderings_Obot__class_Obot( tc_fun( Y,
% 0.88/1.32 tc_HOL_Obool ) ) }.
% 0.88/1.32 { c_Relation_OImage( Y, Y, c_Relation_OId( Y ), X ) = X }.
% 0.88/1.32 { c_Relation_OImage( U, T, Z, c_Lattices_Osemilattice__sup__class_Osup(
% 0.88/1.32 tc_fun( U, tc_HOL_Obool ), Y, X ) ) =
% 0.88/1.32 c_Lattices_Osemilattice__sup__class_Osup( tc_fun( T, tc_HOL_Obool ),
% 0.88/1.32 c_Relation_OImage( U, T, Z, Y ), c_Relation_OImage( U, T, Z, X ) ) }.
% 0.88/1.32 { c_Relation_OImage( U, T, c_Lattices_Osemilattice__sup__class_Osup( tc_fun
% 0.88/1.32 ( tc_prod( U, T ), tc_HOL_Obool ), Z, Y ), X ) =
% 0.88/1.32 c_Lattices_Osemilattice__sup__class_Osup( tc_fun( T, tc_HOL_Obool ),
% 0.88/1.32 c_Relation_OImage( U, T, Z, X ), c_Relation_OImage( U, T, Y, X ) ) }.
% 0.88/1.32 { c_Nitpick_Ofold__graph_H( T, Z, Y, X, c_Orderings_Obot__class_Obot(
% 0.88/1.32 tc_fun( T, tc_HOL_Obool ) ), X ) }.
% 0.88/1.32 { c_Nitpick_Ofold__graph_H( T, Z, Y, X, c_Orderings_Obot__class_Obot(
% 0.88/1.32 tc_fun( T, tc_HOL_Obool ) ), X ) }.
% 0.88/1.32 { ! c_member( Z, Y, X ), ! c_member( tc_prod( Z, W ), c_Product__Type_OPair
% 0.88/1.32 ( Z, W, Y, U ), T ), c_member( W, U, c_Relation_OImage( Z, W, T, X ) ) }
% 0.88/1.32 .
% 0.88/1.32 { ! c_member( U, T, c_Relation_OImage( Z, U, Y, X ) ), c_member( Z, skol65
% 0.88/1.32 ( X, W, Z, V0, V1 ), X ) }.
% 0.88/1.32 { ! c_member( U, T, c_Relation_OImage( Z, U, Y, X ) ), c_member( tc_prod( Z
% 0.88/1.32 , U ), c_Product__Type_OPair( Z, U, skol65( X, Y, Z, T, U ), T ), Y ) }.
% 0.88/1.32 { ! c_member( Z, W, X ), ! c_member( tc_prod( Z, U ), c_Product__Type_OPair
% 0.88/1.32 ( Z, U, W, T ), Y ), c_member( U, T, c_Relation_OImage( Z, U, Y, X ) ) }
% 0.88/1.32 .
% 0.88/1.32 { ! class_Orderings_Opreorder( X ), ! c_Orderings_Oord__class_Oless( X, Y,
% 0.88/1.32 Y ) }.
% 0.88/1.32 { ! class_Orderings_Olinorder( X ), Z = Y, c_Orderings_Oord__class_Oless( X
% 0.88/1.32 , Z, Y ), c_Orderings_Oord__class_Oless( X, Y, Z ) }.
% 0.88/1.32 { ! class_Orderings_Olinorder( X ), ! c_Orderings_Oord__class_Oless( X, Z,
% 0.88/1.32 Y ), ! Z = Y }.
% 0.88/1.32 { ! class_Orderings_Olinorder( X ), ! c_Orderings_Oord__class_Oless( X, Y,
% 0.88/1.32 Z ), ! Z = Y }.
% 0.88/1.32 { ! class_Orderings_Olinorder( X ), c_Orderings_Oord__class_Oless( X, Z, Y
% 0.88/1.32 ), c_Orderings_Oord__class_Oless( X, Y, Z ), Z = Y }.
% 0.88/1.32 { ! class_Orderings_Olinorder( X ), ! c_Orderings_Oord__class_Oless( X, Y,
% 0.88/1.32 Z ), ! c_Orderings_Oord__class_Oless( X, Z, Y ) }.
% 0.88/1.32 { ! class_Orderings_Olinorder( X ), ! Z = Y, !
% 0.88/1.32 c_Orderings_Oord__class_Oless( X, Z, Y ) }.
% 0.88/1.32 { ! class_Orderings_Olinorder( X ), c_Orderings_Oord__class_Oless( X, Z, Y
% 0.88/1.32 ), Z = Y, c_Orderings_Oord__class_Oless( X, Y, Z ) }.
% 0.88/1.32 { ! class_Orderings_Olinorder( X ), c_Orderings_Oord__class_Oless( X, Z, Y
% 0.88/1.32 ), c_Orderings_Oord__class_Oless( X, Y, Z ), Y = Z }.
% 0.88/1.32 { ! class_Orderings_Olinorder( X ), c_Orderings_Oord__class_Oless( X, Z, Y
% 0.88/1.32 ), ! Y = Z, ! c_Orderings_Oord__class_Oless( X, Y, Z ) }.
% 0.88/1.32 { ! class_Orderings_Olinorder( X ), Z = Y, c_Orderings_Oord__class_Oless( X
% 0.88/1.32 , Z, Y ), c_Orderings_Oord__class_Oless( X, Y, Z ) }.
% 0.88/1.32 { ! class_Orderings_Oorder( X ), ! c_Orderings_Oord__class_Oless( X, Z, Y )
% 0.88/1.32 , ! Z = Y }.
% 0.88/1.32 { ! class_Orderings_Opreorder( X ), ! c_Orderings_Oord__class_Oless( X, Z,
% 0.88/1.32 Y ), ! c_Orderings_Oord__class_Oless( X, Y, Z ) }.
% 0.88/1.32 { ! class_Orderings_Opreorder( X ), ! c_Orderings_Oord__class_Oless( X, Z,
% 0.88/1.32 Y ), ! c_Orderings_Oord__class_Oless( X, Y, Z ) }.
% 0.88/1.32 { ! class_Orderings_Oorder( X ), ! c_Orderings_Oord__class_Oless( X, Z, Y )
% 0.88/1.32 , ! Z = Y }.
% 0.88/1.32 { ! class_Orderings_Oorder( X ), ! c_Orderings_Oord__class_Oless( X, Z, Y )
% 0.88/1.32 , ! Y = Z }.
% 0.88/1.32 { ! class_Orderings_Opreorder( X ), ! c_Orderings_Oord__class_Oless( X, Z,
% 0.88/1.32 Y ), ! c_Orderings_Oord__class_Oless( X, Y, Z ) }.
% 0.88/1.32 { ! class_Orderings_Oorder( X ), ! c_Orderings_Oord__class_Oless( X, Z, Y )
% 0.88/1.32 , ! c_Orderings_Oord__class_Oless( X, Y, Z ) }.
% 0.88/1.32 { ! class_Orderings_Oord( X ), ! Z = Y, ! c_Orderings_Oord__class_Oless( X
% 0.88/1.32 , Y, T ), c_Orderings_Oord__class_Oless( X, Z, T ) }.
% 0.88/1.32 { ! class_Orderings_Oorder( X ), ! Z = Y, ! c_Orderings_Oord__class_Oless(
% 0.88/1.32 X, T, Y ), c_Orderings_Oord__class_Oless( X, T, Z ) }.
% 0.88/1.32 { ! class_Orderings_Oord( X ), ! c_Orderings_Oord__class_Oless( X, Z, Y ),
% 0.88/1.32 ! Y = T, c_Orderings_Oord__class_Oless( X, Z, T ) }.
% 0.88/1.32 { ! class_Orderings_Oorder( X ), ! c_Orderings_Oord__class_Oless( X, Z, Y )
% 0.88/1.32 , ! Z = T, c_Orderings_Oord__class_Oless( X, T, Y ) }.
% 0.88/1.32 { ! class_Orderings_Opreorder( X ), ! c_Orderings_Oord__class_Oless( X, Z,
% 0.88/1.32 Y ), ! c_Orderings_Oord__class_Oless( X, Y, T ),
% 0.88/1.32 c_Orderings_Oord__class_Oless( X, Z, T ) }.
% 0.88/1.32 { ! class_Orderings_Oorder( X ), ! c_Orderings_Oord__class_Oless( X, Z, Y )
% 0.88/1.32 , ! c_Orderings_Oord__class_Oless( X, T, Z ),
% 0.88/1.32 c_Orderings_Oord__class_Oless( X, T, Y ) }.
% 0.88/1.32 { ! class_Orderings_Opreorder( X ), ! c_Orderings_Oord__class_Oless( X, Z,
% 0.88/1.32 Y ), ! c_Orderings_Oord__class_Oless( X, Y, Z ) }.
% 0.88/1.32 { ! class_Orderings_Olinorder( X ), c_Orderings_Oord__class_Oless( X, Z, Y
% 0.88/1.32 ), Z = Y, c_Orderings_Oord__class_Oless( X, Y, Z ) }.
% 0.88/1.32 { ! c_member( U, T, c_Relation_OImage( Z, U, Y, c_Set_Oinsert( Z, X,
% 0.88/1.32 c_Orderings_Obot__class_Obot( tc_fun( Z, tc_HOL_Obool ) ) ) ) ), c_member
% 0.88/1.32 ( tc_prod( Z, U ), c_Product__Type_OPair( Z, U, X, T ), Y ) }.
% 0.88/1.32 { ! c_member( tc_prod( Z, U ), c_Product__Type_OPair( Z, U, X, T ), Y ),
% 0.88/1.32 c_member( U, T, c_Relation_OImage( Z, U, Y, c_Set_Oinsert( Z, X,
% 0.88/1.32 c_Orderings_Obot__class_Obot( tc_fun( Z, tc_HOL_Obool ) ) ) ) ) }.
% 0.88/1.32 { ! c_Order__Relation_Opartial__order__on( Y, c_Relation_OField( Y, X ), X
% 0.88/1.32 ), ! c_member( Y, Z, c_Relation_OField( Y, X ) ), ! c_member( Y, T,
% 0.88/1.32 c_Relation_OField( Y, X ) ), ! c_Relation_OImage( Y, Y, X, c_Set_Oinsert
% 0.88/1.32 ( Y, Z, c_Orderings_Obot__class_Obot( tc_fun( Y, tc_HOL_Obool ) ) ) ) =
% 0.88/1.32 c_Relation_OImage( Y, Y, X, c_Set_Oinsert( Y, T,
% 0.88/1.32 c_Orderings_Obot__class_Obot( tc_fun( Y, tc_HOL_Obool ) ) ) ), Z = T }.
% 0.88/1.32 { ! c_Order__Relation_Opartial__order__on( Y, c_Relation_OField( Y, X ), X
% 0.88/1.32 ), ! c_member( Y, Z, c_Relation_OField( Y, X ) ), ! c_member( Y, T,
% 0.88/1.32 c_Relation_OField( Y, X ) ), ! Z = T, c_Relation_OImage( Y, Y, X,
% 0.88/1.32 c_Set_Oinsert( Y, Z, c_Orderings_Obot__class_Obot( tc_fun( Y,
% 0.88/1.32 tc_HOL_Obool ) ) ) ) = c_Relation_OImage( Y, Y, X, c_Set_Oinsert( Y, T,
% 0.88/1.32 c_Orderings_Obot__class_Obot( tc_fun( Y, tc_HOL_Obool ) ) ) ) }.
% 0.88/1.32 { ! c_member( tc_prod( tc_Nat_Onat, tc_Nat_Onat ), c_Product__Type_OPair(
% 0.88/1.32 tc_Nat_Onat, tc_Nat_Onat, Y, X ), c_Transitive__Closure_Otrancl(
% 0.88/1.32 tc_Nat_Onat, c_Wellfounded_Opred__nat ) ), c_Orderings_Oord__class_Oless
% 0.88/1.32 ( tc_Nat_Onat, Y, X ) }.
% 0.88/1.32 { ! c_Orderings_Oord__class_Oless( tc_Nat_Onat, Y, X ), c_member( tc_prod(
% 0.88/1.32 tc_Nat_Onat, tc_Nat_Onat ), c_Product__Type_OPair( tc_Nat_Onat,
% 0.88/1.32 tc_Nat_Onat, Y, X ), c_Transitive__Closure_Otrancl( tc_Nat_Onat,
% 0.88/1.32 c_Wellfounded_Opred__nat ) ) }.
% 0.88/1.32 { ! c_Order__Relation_Opreorder__on( Y, c_Relation_OField( Y, X ), X ), !
% 0.88/1.32 c_member( Y, Z, c_Relation_OField( Y, X ) ), ! c_member( Y, T,
% 0.88/1.32 c_Relation_OField( Y, X ) ), ! c_Orderings_Oord__class_Oless__eq( tc_fun
% 0.88/1.32 ( Y, tc_HOL_Obool ), c_Relation_OImage( Y, Y, X, c_Set_Oinsert( Y, Z,
% 0.88/1.32 c_Orderings_Obot__class_Obot( tc_fun( Y, tc_HOL_Obool ) ) ) ),
% 0.88/1.32 c_Relation_OImage( Y, Y, X, c_Set_Oinsert( Y, T,
% 0.88/1.32 c_Orderings_Obot__class_Obot( tc_fun( Y, tc_HOL_Obool ) ) ) ) ), c_member
% 0.88/1.32 ( tc_prod( Y, Y ), c_Product__Type_OPair( Y, Y, T, Z ), X ) }.
% 0.88/1.32 { ! c_Order__Relation_Opreorder__on( Y, c_Relation_OField( Y, X ), X ), !
% 0.88/1.32 c_member( Y, Z, c_Relation_OField( Y, X ) ), ! c_member( Y, T,
% 0.88/1.32 c_Relation_OField( Y, X ) ), ! c_member( tc_prod( Y, Y ),
% 0.88/1.32 c_Product__Type_OPair( Y, Y, T, Z ), X ),
% 0.88/1.32 c_Orderings_Oord__class_Oless__eq( tc_fun( Y, tc_HOL_Obool ),
% 0.88/1.32 c_Relation_OImage( Y, Y, X, c_Set_Oinsert( Y, Z,
% 0.88/1.32 c_Orderings_Obot__class_Obot( tc_fun( Y, tc_HOL_Obool ) ) ) ),
% 0.88/1.32 c_Relation_OImage( Y, Y, X, c_Set_Oinsert( Y, T,
% 0.88/1.32 c_Orderings_Obot__class_Obot( tc_fun( Y, tc_HOL_Obool ) ) ) ) ) }.
% 0.88/1.32 { ! c_Nitpick_Ofold__graph_H( V0, W, U, T, Z, hAPP( hAPP( U, Y ), X ) ),
% 0.88/1.32 alpha15( X, Y, Z, T, U, V0 ), alpha26( X, Y, Z, T, U, W, V0 ) }.
% 0.88/1.32 { ! alpha15( X, Y, Z, T, U, V0 ), c_Nitpick_Ofold__graph_H( V0, W, U, T, Z
% 0.88/1.32 , hAPP( hAPP( U, Y ), X ) ) }.
% 0.88/1.32 { ! alpha26( X, Y, Z, T, U, W, V0 ), c_Nitpick_Ofold__graph_H( V0, W, U, T
% 0.88/1.32 , Z, hAPP( hAPP( U, Y ), X ) ) }.
% 0.88/1.32 { ! alpha26( X, Y, Z, T, U, W, V0 ), hAPP( hAPP( U, Y ), X ) = hAPP( hAPP(
% 0.88/1.32 U, skol66( X, Y, Z, T, U, W, V0 ) ), skol88( X, Y, Z, T, U, W, V0 ) ) }.
% 0.88/1.32 { ! alpha26( X, Y, Z, T, U, W, V0 ), alpha34( Z, T, U, W, V0, skol66( X, Y
% 0.88/1.32 , Z, T, U, W, V0 ), skol88( X, Y, Z, T, U, W, V0 ) ) }.
% 0.88/1.32 { ! hAPP( hAPP( U, Y ), X ) = hAPP( hAPP( U, V1 ), V2 ), ! alpha34( Z, T, U
% 0.88/1.32 , W, V0, V1, V2 ), alpha26( X, Y, Z, T, U, W, V0 ) }.
% 0.88/1.32 { ! alpha34( X, Y, Z, T, U, W, V0 ), c_member( U, W, X ) }.
% 0.88/1.32 { ! alpha34( X, Y, Z, T, U, W, V0 ), c_Nitpick_Ofold__graph_H( U, T, Z, Y,
% 0.88/1.32 c_Groups_Ominus__class_Ominus( tc_fun( U, tc_HOL_Obool ), X,
% 0.88/1.32 c_Set_Oinsert( U, W, c_Orderings_Obot__class_Obot( tc_fun( U,
% 0.88/1.32 tc_HOL_Obool ) ) ) ), V0 ) }.
% 0.88/1.32 { ! c_member( U, W, X ), ! c_Nitpick_Ofold__graph_H( U, T, Z, Y,
% 0.88/1.32 c_Groups_Ominus__class_Ominus( tc_fun( U, tc_HOL_Obool ), X,
% 0.88/1.32 c_Set_Oinsert( U, W, c_Orderings_Obot__class_Obot( tc_fun( U,
% 0.88/1.32 tc_HOL_Obool ) ) ) ), V0 ), alpha34( X, Y, Z, T, U, W, V0 ) }.
% 0.88/1.32 { ! alpha15( X, Y, Z, T, U, W ), Z = c_Orderings_Obot__class_Obot( tc_fun(
% 0.88/1.32 W, tc_HOL_Obool ) ) }.
% 0.88/1.32 { ! alpha15( X, Y, Z, T, U, W ), hAPP( hAPP( U, Y ), X ) = T }.
% 0.88/1.32 { ! Z = c_Orderings_Obot__class_Obot( tc_fun( W, tc_HOL_Obool ) ), ! hAPP(
% 0.88/1.32 hAPP( U, Y ), X ) = T, alpha15( X, Y, Z, T, U, W ) }.
% 0.88/1.32 { ! class_Orderings_Opreorder( X ), c_Orderings_Oord__class_Oless__eq( X, Y
% 0.88/1.32 , Y ) }.
% 0.88/1.32 { ! c_Orderings_Oord__class_Oless__eq( tc_fun( Z, tc_HOL_Obool ), Y, X ), !
% 0.88/1.32 c_Orderings_Oord__class_Oless__eq( tc_fun( Z, tc_HOL_Obool ), X, Y ), Y
% 0.88/1.32 = X }.
% 0.88/1.32 { ! c_Orderings_Oord__class_Oless__eq( tc_fun( Z, tc_HOL_Obool ), Y, X ), !
% 0.88/1.32 c_member( Z, T, Y ), c_member( Z, T, X ) }.
% 0.88/1.32 { c_Orderings_Oord__class_Oless__eq( tc_fun( Y, tc_HOL_Obool ),
% 0.88/1.32 c_Orderings_Obot__class_Obot( tc_fun( Y, tc_HOL_Obool ) ), X ) }.
% 0.88/1.32 { ! class_Orderings_Olinorder( X ), c_Orderings_Oord__class_Oless( X, Z, Y
% 0.88/1.32 ), c_Orderings_Oord__class_Oless__eq( X, Y, Z ) }.
% 0.88/1.32 { ! class_Orderings_Olinorder( X ), ! c_Orderings_Oord__class_Oless__eq( X
% 0.88/1.32 , Y, Z ), ! c_Orderings_Oord__class_Oless( X, Z, Y ) }.
% 0.88/1.32 { ! class_Orderings_Olinorder( X ), c_Orderings_Oord__class_Oless__eq( X, Z
% 0.88/1.32 , Y ), c_Orderings_Oord__class_Oless( X, Y, Z ) }.
% 0.88/1.32 { ! class_Orderings_Olinorder( X ), ! c_Orderings_Oord__class_Oless( X, Y,
% 0.88/1.32 Z ), ! c_Orderings_Oord__class_Oless__eq( X, Z, Y ) }.
% 0.88/1.32 { ! class_Orderings_Olinorder( X ), c_Orderings_Oord__class_Oless__eq( X, Z
% 0.88/1.32 , Y ), c_Orderings_Oord__class_Oless( X, Y, Z ) }.
% 0.88/1.32 { ! class_Orderings_Oord( X ), ! c_Orderings_Oord__class_Oless( tc_fun( T,
% 0.88/1.32 X ), Z, Y ), c_Orderings_Oord__class_Oless__eq( tc_fun( T, X ), Z, Y ) }
% 0.88/1.32 .
% 0.88/1.32 { ! class_Orderings_Oord( X ), ! c_Orderings_Oord__class_Oless( tc_fun( T,
% 0.88/1.32 X ), Z, Y ), ! c_Orderings_Oord__class_Oless__eq( tc_fun( T, X ), Y, Z )
% 0.88/1.32 }.
% 0.88/1.32 { ! class_Orderings_Oord( X ), ! c_Orderings_Oord__class_Oless__eq( tc_fun
% 0.88/1.32 ( T, X ), Z, Y ), c_Orderings_Oord__class_Oless__eq( tc_fun( T, X ), Y, Z
% 0.88/1.32 ), c_Orderings_Oord__class_Oless( tc_fun( T, X ), Z, Y ) }.
% 0.88/1.32 { ! class_Orderings_Oorder( X ), ! c_Orderings_Oord__class_Oless( X, Z, Y )
% 0.88/1.32 , c_Orderings_Oord__class_Oless__eq( X, Z, Y ) }.
% 0.88/1.32 { ! class_Orderings_Oorder( X ), ! c_Orderings_Oord__class_Oless( X, Z, Y )
% 0.88/1.32 , ! Z = Y }.
% 0.88/1.32 { ! class_Orderings_Oorder( X ), ! c_Orderings_Oord__class_Oless__eq( X, Z
% 0.88/1.32 , Y ), Z = Y, c_Orderings_Oord__class_Oless( X, Z, Y ) }.
% 0.88/1.32 { ! class_Orderings_Opreorder( X ), ! c_Orderings_Oord__class_Oless( X, Z,
% 0.88/1.32 Y ), c_Orderings_Oord__class_Oless__eq( X, Z, Y ) }.
% 0.88/1.32 { ! class_Orderings_Opreorder( X ), ! c_Orderings_Oord__class_Oless( X, Z,
% 0.88/1.32 Y ), ! c_Orderings_Oord__class_Oless__eq( X, Y, Z ) }.
% 0.88/1.32 { ! class_Orderings_Opreorder( X ), ! c_Orderings_Oord__class_Oless__eq( X
% 0.88/1.32 , Z, Y ), c_Orderings_Oord__class_Oless__eq( X, Y, Z ),
% 0.88/1.32 c_Orderings_Oord__class_Oless( X, Z, Y ) }.
% 0.88/1.32 { ! class_Orderings_Oorder( X ), ! c_Orderings_Oord__class_Oless__eq( X, Z
% 0.88/1.32 , Y ), c_Orderings_Oord__class_Oless( X, Z, Y ), Z = Y }.
% 0.88/1.32 { ! class_Orderings_Oorder( X ), ! c_Orderings_Oord__class_Oless( X, Z, Y )
% 0.88/1.32 , c_Orderings_Oord__class_Oless__eq( X, Z, Y ) }.
% 0.88/1.32 { ! class_Orderings_Oorder( X ), ! Z = Y, c_Orderings_Oord__class_Oless__eq
% 0.88/1.32 ( X, Z, Y ) }.
% 0.88/1.32 { ! class_Orderings_Olinorder( X ), c_Orderings_Oord__class_Oless( X, Z, Y
% 0.88/1.32 ), c_Orderings_Oord__class_Oless__eq( X, Y, Z ) }.
% 0.88/1.32 { ! class_Orderings_Olinorder( X ), c_Orderings_Oord__class_Oless__eq( X, Z
% 0.88/1.32 , Y ), c_Orderings_Oord__class_Oless( X, Y, Z ) }.
% 0.88/1.32 { ! class_Orderings_Olinorder( X ), c_Orderings_Oord__class_Oless( X, Z, Y
% 0.88/1.32 ), ! c_Orderings_Oord__class_Oless__eq( X, Z, Y ), Z = Y }.
% 0.88/1.32 { ! class_Orderings_Olinorder( X ), c_Orderings_Oord__class_Oless( X, Z, Y
% 0.88/1.32 ), ! Z = Y, c_Orderings_Oord__class_Oless__eq( X, Z, Y ) }.
% 0.88/1.32 { ! class_Orderings_Oorder( X ), Z = Y, ! c_Orderings_Oord__class_Oless__eq
% 0.88/1.32 ( X, Z, Y ), c_Orderings_Oord__class_Oless( X, Z, Y ) }.
% 0.88/1.32 { ! class_Orderings_Oorder( X ), Z = Y, ! c_Orderings_Oord__class_Oless__eq
% 0.88/1.32 ( X, Y, Z ), c_Orderings_Oord__class_Oless( X, Y, Z ) }.
% 0.88/1.32 { ! class_Orderings_Olinorder( X ), ! c_Orderings_Oord__class_Oless__eq( X
% 0.88/1.32 , Z, Y ), ! c_Orderings_Oord__class_Oless( X, Y, Z ) }.
% 0.88/1.32 { ! class_Orderings_Opreorder( X ), ! c_Orderings_Oord__class_Oless( X, Z,
% 0.88/1.32 Y ), c_Orderings_Oord__class_Oless__eq( X, Z, Y ) }.
% 0.88/1.32 { ! class_Orderings_Olinorder( X ), ! c_Orderings_Oord__class_Oless__eq( X
% 0.88/1.32 , Z, Y ), c_Orderings_Oord__class_Oless( X, Z, Y ), Z = Y }.
% 0.88/1.32 { ! class_Orderings_Olinorder( X ), ! c_Orderings_Oord__class_Oless__eq( X
% 0.88/1.32 , Z, Y ), ! Z = Y, ! c_Orderings_Oord__class_Oless( X, Z, Y ) }.
% 0.88/1.32 { ! class_Orderings_Oorder( X ), ! c_Orderings_Oord__class_Oless__eq( X, Z
% 0.88/1.32 , Y ), c_Orderings_Oord__class_Oless( X, Z, Y ), Z = Y }.
% 0.88/1.32 { ! class_Orderings_Oorder( X ), ! c_Orderings_Oord__class_Oless__eq( X, Z
% 0.88/1.32 , Y ), Z = Y, c_Orderings_Oord__class_Oless( X, Z, Y ) }.
% 0.88/1.32 { ! class_Orderings_Oorder( X ), ! c_Orderings_Oord__class_Oless__eq( X, Z
% 0.88/1.32 , Y ), Y = Z, c_Orderings_Oord__class_Oless( X, Z, Y ) }.
% 0.88/1.32 { ! class_Orderings_Opreorder( X ), ! c_Orderings_Oord__class_Oless( X, Z,
% 0.88/1.32 Y ), ! c_Orderings_Oord__class_Oless__eq( X, Y, T ),
% 0.88/1.32 c_Orderings_Oord__class_Oless( X, Z, T ) }.
% 0.88/1.32 { ! class_Orderings_Oorder( X ), ! c_Orderings_Oord__class_Oless( X, Z, Y )
% 0.88/1.32 , ! c_Orderings_Oord__class_Oless__eq( X, T, Z ),
% 0.88/1.32 c_Orderings_Oord__class_Oless( X, T, Y ) }.
% 0.88/1.32 { ! class_Orderings_Opreorder( X ), ! c_Orderings_Oord__class_Oless__eq( X
% 0.88/1.32 , Z, Y ), ! c_Orderings_Oord__class_Oless( X, Y, T ),
% 0.88/1.32 c_Orderings_Oord__class_Oless( X, Z, T ) }.
% 0.88/1.32 { ! class_Orderings_Oorder( X ), ! c_Orderings_Oord__class_Oless__eq( X, Z
% 0.88/1.32 , Y ), ! c_Orderings_Oord__class_Oless( X, T, Z ),
% 0.88/1.32 c_Orderings_Oord__class_Oless( X, T, Y ) }.
% 0.88/1.32 { ! c_Orderings_Oord__class_Oless__eq( tc_fun( Z, tc_HOL_Obool ), Y, X ), !
% 0.88/1.32 c_Orderings_Oord__class_Oless( tc_fun( Z, tc_HOL_Obool ), X, T ),
% 0.88/1.32 c_Orderings_Oord__class_Oless( tc_fun( Z, tc_HOL_Obool ), Y, T ) }.
% 0.88/1.32 { ! c_Orderings_Oord__class_Oless( tc_fun( Z, tc_HOL_Obool ), Y, X ), !
% 0.88/1.32 c_Orderings_Oord__class_Oless__eq( tc_fun( Z, tc_HOL_Obool ), X, T ),
% 0.88/1.32 c_Orderings_Oord__class_Oless( tc_fun( Z, tc_HOL_Obool ), Y, T ) }.
% 0.88/1.32 { ! c_Orderings_Oord__class_Oless( tc_fun( Z, tc_HOL_Obool ), Y, X ),
% 0.88/1.32 c_Orderings_Oord__class_Oless__eq( tc_fun( Z, tc_HOL_Obool ), Y, X ) }.
% 0.88/1.32 { ! c_Orderings_Oord__class_Oless__eq( tc_fun( Z, tc_HOL_Obool ), Y, X ),
% 0.88/1.32 c_Orderings_Oord__class_Oless( tc_fun( Z, tc_HOL_Obool ), Y, X ), Y = X }
% 0.88/1.32 .
% 0.88/1.32 { ! c_Orderings_Oord__class_Oless( tc_fun( Z, tc_HOL_Obool ), Y, X ),
% 0.88/1.32 c_Orderings_Oord__class_Oless__eq( tc_fun( Z, tc_HOL_Obool ), Y, X ) }.
% 0.88/1.32 { ! Y = X, c_Orderings_Oord__class_Oless__eq( tc_fun( Z, tc_HOL_Obool ), Y
% 0.88/1.32 , X ) }.
% 0.88/1.32 { ! c_Orderings_Oord__class_Oless( tc_fun( Z, tc_HOL_Obool ), Y, X ),
% 0.88/1.32 c_Orderings_Oord__class_Oless__eq( tc_fun( Z, tc_HOL_Obool ), Y, X ) }.
% 0.88/1.32 { ! c_Orderings_Oord__class_Oless( tc_fun( Z, tc_HOL_Obool ), Y, X ), ! Y =
% 0.88/1.32 X }.
% 0.88/1.32 { ! c_Orderings_Oord__class_Oless__eq( tc_fun( Z, tc_HOL_Obool ), Y, X ), Y
% 0.88/1.32 = X, c_Orderings_Oord__class_Oless( tc_fun( Z, tc_HOL_Obool ), Y, X ) }
% 0.88/1.32 .
% 0.88/1.32 { ! c_Orderings_Oord__class_Oless__eq( tc_fun( Y, tc_HOL_Obool ), X,
% 0.88/1.32 c_Orderings_Obot__class_Obot( tc_fun( Y, tc_HOL_Obool ) ) ), X =
% 0.88/1.32 c_Orderings_Obot__class_Obot( tc_fun( Y, tc_HOL_Obool ) ) }.
% 0.88/1.32 { ! X = c_Orderings_Obot__class_Obot( tc_fun( Y, tc_HOL_Obool ) ),
% 0.88/1.32 c_Orderings_Oord__class_Oless__eq( tc_fun( Y, tc_HOL_Obool ), X,
% 0.88/1.32 c_Orderings_Obot__class_Obot( tc_fun( Y, tc_HOL_Obool ) ) ) }.
% 0.88/1.32 { ! Y = c_Orderings_Obot__class_Obot( tc_fun( tc_prod( X, X ), tc_HOL_Obool
% 0.88/1.32 ) ), c_Orderings_Oord__class_Oless__eq( tc_fun( tc_prod( X, X ),
% 0.88/1.32 tc_HOL_Obool ), Y, Z ) }.
% 0.88/1.32 { ! class_Orderings_Obot( X ), c_Orderings_Oord__class_Oless__eq( X,
% 0.88/1.32 c_Orderings_Obot__class_Obot( X ), Y ) }.
% 0.88/1.32 { ! c_Wellfounded_Owf( Y, X ), ! c_Orderings_Oord__class_Oless__eq( tc_fun
% 0.88/1.32 ( tc_prod( Y, Y ), tc_HOL_Obool ), Z, X ), c_Wellfounded_Owf( Y, Z ) }.
% 0.88/1.32 { ! class_Orderings_Oord( X ), ! c_Orderings_Oord__class_Oless__eq( tc_fun
% 0.88/1.32 ( T, X ), Z, Y ), c_Orderings_Oord__class_Oless__eq( X, hAPP( Z, U ),
% 0.88/1.32 hAPP( Y, U ) ) }.
% 0.88/1.32 { ! class_Orderings_Oord( X ), ! c_Orderings_Oord__class_Oless__eq( X, hAPP
% 0.88/1.32 ( Z, skol67( X, Y, Z ) ), hAPP( Y, skol67( X, Y, Z ) ) ),
% 0.88/1.32 c_Orderings_Oord__class_Oless__eq( tc_fun( T, X ), Z, Y ) }.
% 0.88/1.32 { ! class_Orderings_Olinorder( X ), c_Orderings_Oord__class_Oless__eq( X, Z
% 0.88/1.32 , Y ), c_Orderings_Oord__class_Oless__eq( X, Y, Z ) }.
% 0.88/1.32 { ! class_Orderings_Oorder( X ), ! Z = Y, c_Orderings_Oord__class_Oless__eq
% 0.88/1.32 ( X, Z, Y ) }.
% 0.88/1.32 { ! class_Orderings_Oorder( X ), ! Z = Y, c_Orderings_Oord__class_Oless__eq
% 0.88/1.32 ( X, Y, Z ) }.
% 0.88/1.32 { ! class_Orderings_Oorder( X ), ! c_Orderings_Oord__class_Oless__eq( X, Z
% 0.88/1.32 , Y ), ! c_Orderings_Oord__class_Oless__eq( X, Y, Z ), Z = Y }.
% 0.88/1.32 { ! class_Orderings_Opreorder( X ), ! Z = Y,
% 0.88/1.32 c_Orderings_Oord__class_Oless__eq( X, Z, Y ) }.
% 0.88/1.32 { ! class_Orderings_Oord( X ), ! c_Orderings_Oord__class_Oless__eq( tc_fun
% 0.88/1.32 ( T, X ), Z, Y ), c_Orderings_Oord__class_Oless__eq( X, hAPP( Z, U ),
% 0.88/1.32 hAPP( Y, U ) ) }.
% 0.88/1.32 { ! class_Orderings_Oorder( X ), ! c_Orderings_Oord__class_Oless__eq( X, Z
% 0.88/1.32 , Y ), ! c_Orderings_Oord__class_Oless__eq( X, Y, Z ), Y = Z }.
% 0.88/1.32 { ! class_Orderings_Oorder( X ), ! c_Orderings_Oord__class_Oless__eq( X, Z
% 0.88/1.32 , Y ), ! Y = Z, c_Orderings_Oord__class_Oless__eq( X, Y, Z ) }.
% 0.88/1.32 { ! class_Orderings_Oord( X ), ! Z = Y, ! c_Orderings_Oord__class_Oless__eq
% 0.88/1.32 ( X, Y, T ), c_Orderings_Oord__class_Oless__eq( X, Z, T ) }.
% 0.88/1.32 { ! class_Orderings_Oorder( X ), ! Z = Y, !
% 0.88/1.32 c_Orderings_Oord__class_Oless__eq( X, T, Y ),
% 0.88/1.32 c_Orderings_Oord__class_Oless__eq( X, T, Z ) }.
% 0.88/1.32 { ! class_Orderings_Oord( X ), ! c_Orderings_Oord__class_Oless__eq( X, Z, Y
% 0.88/1.32 ), ! Y = T, c_Orderings_Oord__class_Oless__eq( X, Z, T ) }.
% 0.88/1.32 { ! class_Orderings_Oorder( X ), ! c_Orderings_Oord__class_Oless__eq( X, Z
% 0.88/1.32 , Y ), ! Z = T, c_Orderings_Oord__class_Oless__eq( X, T, Y ) }.
% 0.88/1.32 { ! class_Orderings_Oorder( X ), ! c_Orderings_Oord__class_Oless__eq( X, Z
% 0.88/1.32 , Y ), ! c_Orderings_Oord__class_Oless__eq( X, Y, Z ), Z = Y }.
% 0.88/1.32 { ! class_Orderings_Opreorder( X ), ! c_Orderings_Oord__class_Oless__eq( X
% 0.88/1.32 , Z, Y ), ! c_Orderings_Oord__class_Oless__eq( X, Y, T ),
% 0.88/1.32 c_Orderings_Oord__class_Oless__eq( X, Z, T ) }.
% 0.88/1.32 { ! class_Orderings_Oorder( X ), ! c_Orderings_Oord__class_Oless__eq( X, Z
% 0.88/1.32 , Y ), ! c_Orderings_Oord__class_Oless__eq( X, Y, Z ), Y = Z }.
% 0.88/1.32 { ! class_Orderings_Oorder( X ), ! c_Orderings_Oord__class_Oless__eq( X, Z
% 0.88/1.32 , Y ), ! c_Orderings_Oord__class_Oless__eq( X, T, Z ),
% 0.88/1.32 c_Orderings_Oord__class_Oless__eq( X, T, Y ) }.
% 0.88/1.32 { ! class_Orderings_Oord( X ), ! c_Orderings_Oord__class_Oless__eq( tc_fun
% 0.88/1.32 ( T, X ), Z, Y ), c_Orderings_Oord__class_Oless__eq( X, hAPP( Z, U ),
% 0.88/1.32 hAPP( Y, U ) ) }.
% 0.88/1.32 { ! class_Orderings_Olinorder( X ), c_Orderings_Oord__class_Oless__eq( X, Z
% 0.88/1.32 , Y ), c_Orderings_Oord__class_Oless__eq( X, Y, Z ) }.
% 0.88/1.32 { ! c_Orderings_Oord__class_Oless__eq( tc_fun( tc_prod( T, Z ),
% 0.88/1.32 tc_HOL_Obool ), Y, X ), ! c_Orderings_Oord__class_Oless__eq( tc_fun( T,
% 0.88/1.32 tc_HOL_Obool ), W, U ), c_Orderings_Oord__class_Oless__eq( tc_fun( Z,
% 0.88/1.32 tc_HOL_Obool ), c_Relation_OImage( T, Z, Y, W ), c_Relation_OImage( T, Z
% 0.88/1.32 , X, U ) ) }.
% 0.88/1.32 { ! c_Orderings_Oord__class_Oless__eq( tc_fun( Z, tc_HOL_Obool ), Y, X ), !
% 0.88/1.32 c_member( Z, T, Y ), c_member( Z, T, X ) }.
% 0.88/1.32 { ! c_member( Z, Y, X ), ! c_Orderings_Oord__class_Oless__eq( tc_fun( Z,
% 0.88/1.32 tc_HOL_Obool ), X, T ), c_member( Z, Y, T ) }.
% 0.88/1.32 { ! c_Orderings_Oord__class_Oless__eq( tc_fun( Z, tc_HOL_Obool ), Y, X ), !
% 0.88/1.32 c_member( Z, T, Y ), c_member( Z, T, X ) }.
% 0.88/1.32 { ! c_Orderings_Oord__class_Oless__eq( tc_fun( tc_prod( Z, Z ),
% 0.88/1.32 tc_HOL_Obool ), Y, X ), c_Orderings_Oord__class_Oless__eq( tc_fun( Z,
% 0.88/1.32 tc_HOL_Obool ), c_Relation_OField( Z, Y ), c_Relation_OField( Z, X ) ) }
% 0.88/1.32 .
% 0.88/1.32 { ! c_Orderings_Oord__class_Oless__eq( tc_fun( tc_prod( Z, Z ),
% 0.88/1.32 tc_HOL_Obool ), Y, X ), ! c_Relation_Oantisym( Z, X ),
% 0.88/1.32 c_Relation_Oantisym( Z, Y ) }.
% 0.88/1.32 { ! c_Wellfounded_Oacyclic( Y, X ), ! c_Orderings_Oord__class_Oless__eq(
% 0.88/1.32 tc_fun( tc_prod( Y, Y ), tc_HOL_Obool ), Z, X ), c_Wellfounded_Oacyclic(
% 0.88/1.32 Y, Z ) }.
% 0.88/1.32 { ! class_Lattices_Osemilattice__sup( X ), !
% 0.88/1.32 c_Orderings_Oord__class_Oless__eq( X,
% 0.88/1.32 c_Lattices_Osemilattice__sup__class_Osup( X, T, Z ), Y ),
% 0.88/1.32 c_Orderings_Oord__class_Oless__eq( X, T, Y ) }.
% 0.88/1.32 { ! class_Lattices_Osemilattice__sup( X ), !
% 0.88/1.32 c_Orderings_Oord__class_Oless__eq( X,
% 0.88/1.32 c_Lattices_Osemilattice__sup__class_Osup( X, T, Z ), Y ),
% 0.88/1.32 c_Orderings_Oord__class_Oless__eq( X, Z, Y ) }.
% 0.88/1.32 { ! class_Lattices_Osemilattice__sup( X ), !
% 0.88/1.32 c_Orderings_Oord__class_Oless__eq( X, Z, Y ), !
% 0.88/1.32 c_Orderings_Oord__class_Oless__eq( X, U, T ),
% 0.88/1.32 c_Orderings_Oord__class_Oless__eq( X,
% 0.88/1.32 c_Lattices_Osemilattice__sup__class_Osup( X, Z, U ),
% 0.88/1.32 c_Lattices_Osemilattice__sup__class_Osup( X, Y, T ) ) }.
% 0.88/1.32 { ! class_Lattices_Osemilattice__sup( X ), !
% 0.88/1.32 c_Orderings_Oord__class_Oless__eq( X, Z, Y ), !
% 0.88/1.32 c_Orderings_Oord__class_Oless__eq( X, T, Y ),
% 0.88/1.32 c_Orderings_Oord__class_Oless__eq( X,
% 0.88/1.32 c_Lattices_Osemilattice__sup__class_Osup( X, Z, T ), Y ) }.
% 0.88/1.32 { ! class_Lattices_Osemilattice__sup( X ), !
% 0.88/1.32 c_Orderings_Oord__class_Oless__eq( X, Z, Y ), !
% 0.88/1.32 c_Orderings_Oord__class_Oless__eq( X, T, Y ),
% 0.88/1.32 c_Orderings_Oord__class_Oless__eq( X,
% 0.88/1.32 c_Lattices_Osemilattice__sup__class_Osup( X, Z, T ), Y ) }.
% 0.88/1.32 { ! class_Lattices_Osemilattice__sup( X ), !
% 0.88/1.32 c_Orderings_Oord__class_Oless__eq( X, Z, Y ),
% 0.88/1.32 c_Lattices_Osemilattice__sup__class_Osup( X, Y, Z ) = Y }.
% 0.88/1.32 { ! class_Lattices_Osemilattice__sup( X ), !
% 0.88/1.32 c_Orderings_Oord__class_Oless__eq( X, Z, Y ),
% 0.88/1.32 c_Lattices_Osemilattice__sup__class_Osup( X, Z, Y ) = Y }.
% 0.88/1.32 { ! class_Lattices_Osemilattice__sup( X ), !
% 0.88/1.32 c_Orderings_Oord__class_Oless__eq( X, Z, Y ),
% 0.88/1.32 c_Orderings_Oord__class_Oless__eq( X, Z,
% 0.88/1.32 c_Lattices_Osemilattice__sup__class_Osup( X, T, Y ) ) }.
% 0.88/1.32 { ! class_Lattices_Osemilattice__sup( X ), !
% 0.88/1.32 c_Orderings_Oord__class_Oless__eq( X, Z, Y ),
% 0.88/1.32 c_Orderings_Oord__class_Oless__eq( X, Z,
% 0.88/1.32 c_Lattices_Osemilattice__sup__class_Osup( X, Y, T ) ) }.
% 0.88/1.32 { ! class_Lattices_Osemilattice__sup( X ), !
% 0.88/1.32 c_Orderings_Oord__class_Oless__eq( X,
% 0.88/1.32 c_Lattices_Osemilattice__sup__class_Osup( X, T, Z ), Y ),
% 0.88/1.32 c_Orderings_Oord__class_Oless__eq( X, T, Y ) }.
% 0.88/1.32 { ! class_Lattices_Osemilattice__sup( X ), !
% 0.88/1.32 c_Orderings_Oord__class_Oless__eq( X,
% 0.88/1.32 c_Lattices_Osemilattice__sup__class_Osup( X, T, Z ), Y ),
% 0.88/1.32 c_Orderings_Oord__class_Oless__eq( X, Z, Y ) }.
% 0.88/1.32 { ! class_Lattices_Osemilattice__sup( X ), !
% 0.88/1.32 c_Orderings_Oord__class_Oless__eq( X, T, Y ), !
% 0.88/1.32 c_Orderings_Oord__class_Oless__eq( X, Z, Y ),
% 0.88/1.32 c_Orderings_Oord__class_Oless__eq( X,
% 0.88/1.32 c_Lattices_Osemilattice__sup__class_Osup( X, T, Z ), Y ) }.
% 0.88/1.32 { ! class_Lattices_Osemilattice__sup( X ), !
% 0.88/1.32 c_Orderings_Oord__class_Oless__eq( X, Z, Y ),
% 0.88/1.32 c_Lattices_Osemilattice__sup__class_Osup( X, Z, Y ) = Y }.
% 0.88/1.32 { ! class_Lattices_Osemilattice__sup( X ), !
% 0.88/1.32 c_Lattices_Osemilattice__sup__class_Osup( X, Z, Y ) = Y,
% 0.88/1.32 c_Orderings_Oord__class_Oless__eq( X, Z, Y ) }.
% 0.88/1.32 { ! class_Lattices_Osemilattice__sup( X ),
% 0.88/1.32 c_Orderings_Oord__class_Oless__eq( X, Z,
% 0.88/1.32 c_Lattices_Osemilattice__sup__class_Osup( X, Y, Z ) ) }.
% 0.88/1.32 { ! class_Lattices_Olattice( X ), c_Orderings_Oord__class_Oless__eq( X, Z,
% 0.88/1.32 c_Lattices_Osemilattice__sup__class_Osup( X, Y, Z ) ) }.
% 0.88/1.32 { ! class_Lattices_Osemilattice__sup( X ),
% 0.88/1.32 c_Orderings_Oord__class_Oless__eq( X, Z,
% 0.88/1.32 c_Lattices_Osemilattice__sup__class_Osup( X, Z, Y ) ) }.
% 0.88/1.32 { ! class_Lattices_Olattice( X ), c_Orderings_Oord__class_Oless__eq( X, Z,
% 0.88/1.32 c_Lattices_Osemilattice__sup__class_Osup( X, Z, Y ) ) }.
% 0.88/1.32 { ! c_Orderings_Oord__class_Oless__eq( tc_fun( Z, tc_HOL_Obool ), Y, X ),
% 0.88/1.32 c_Orderings_Oord__class_Oless__eq( tc_fun( Z, tc_HOL_Obool ),
% 0.88/1.32 c_Set_Oinsert( Z, T, Y ), c_Set_Oinsert( Z, T, X ) ) }.
% 0.88/1.32 { ! c_Orderings_Oord__class_Oless__eq( tc_fun( Z, tc_HOL_Obool ), Y, X ),
% 0.88/1.32 c_Orderings_Oord__class_Oless__eq( tc_fun( Z, tc_HOL_Obool ), Y,
% 0.88/1.32 c_Set_Oinsert( Z, T, X ) ) }.
% 0.88/1.32 { c_Orderings_Oord__class_Oless__eq( tc_fun( Z, tc_HOL_Obool ), Y,
% 0.88/1.32 c_Set_Oinsert( Z, X, Y ) ) }.
% 0.88/1.32 { ! c_Orderings_Oord__class_Oless__eq( tc_fun( Z, tc_HOL_Obool ), Y, X ), !
% 0.88/1.32 c_Orderings_Oord__class_Oless__eq( tc_fun( Z, tc_HOL_Obool ), U, T ),
% 0.88/1.32 c_Orderings_Oord__class_Oless__eq( tc_fun( Z, tc_HOL_Obool ),
% 0.88/1.32 c_Lattices_Osemilattice__sup__class_Osup( tc_fun( Z, tc_HOL_Obool ), Y, U
% 0.88/1.32 ), c_Lattices_Osemilattice__sup__class_Osup( tc_fun( Z, tc_HOL_Obool ),
% 0.88/1.32 X, T ) ) }.
% 0.88/1.32 { ! c_Orderings_Oord__class_Oless__eq( tc_fun( Z, tc_HOL_Obool ), Y, X ), !
% 0.88/1.32 c_Orderings_Oord__class_Oless__eq( tc_fun( Z, tc_HOL_Obool ), T, X ),
% 0.88/1.32 c_Orderings_Oord__class_Oless__eq( tc_fun( Z, tc_HOL_Obool ),
% 0.88/1.32 c_Lattices_Osemilattice__sup__class_Osup( tc_fun( Z, tc_HOL_Obool ), Y, T
% 0.88/1.32 ), X ) }.
% 0.88/1.32 { ! c_Orderings_Oord__class_Oless__eq( tc_fun( Z, tc_HOL_Obool ), Y, X ),
% 0.88/1.32 c_Lattices_Osemilattice__sup__class_Osup( tc_fun( Z, tc_HOL_Obool ), X, Y
% 0.88/1.32 ) = X }.
% 0.88/1.32 { ! c_Orderings_Oord__class_Oless__eq( tc_fun( Z, tc_HOL_Obool ), Y, X ),
% 0.88/1.32 c_Lattices_Osemilattice__sup__class_Osup( tc_fun( Z, tc_HOL_Obool ), Y, X
% 0.88/1.32 ) = X }.
% 0.88/1.32 { ! c_Orderings_Oord__class_Oless__eq( tc_fun( Z, tc_HOL_Obool ), Y, X ),
% 0.88/1.32 c_Lattices_Osemilattice__sup__class_Osup( tc_fun( Z, tc_HOL_Obool ), Y, X
% 0.88/1.32 ) = X }.
% 0.88/1.32 { ! c_Lattices_Osemilattice__sup__class_Osup( tc_fun( Z, tc_HOL_Obool ), Y
% 0.88/1.32 , X ) = X, c_Orderings_Oord__class_Oless__eq( tc_fun( Z, tc_HOL_Obool ),
% 0.88/1.32 Y, X ) }.
% 0.88/1.32 { c_Orderings_Oord__class_Oless__eq( tc_fun( Z, tc_HOL_Obool ), Y,
% 0.88/1.32 c_Lattices_Osemilattice__sup__class_Osup( tc_fun( Z, tc_HOL_Obool ), X, Y
% 0.88/1.32 ) ) }.
% 0.88/1.32 { c_Orderings_Oord__class_Oless__eq( tc_fun( Z, tc_HOL_Obool ), Y,
% 0.88/1.32 c_Lattices_Osemilattice__sup__class_Osup( tc_fun( Z, tc_HOL_Obool ), Y, X
% 0.88/1.32 ) ) }.
% 0.88/1.32 { ! c_Orderings_Oord__class_Oless__eq( tc_fun( tc_prod( T, Z ),
% 0.88/1.32 tc_HOL_Obool ), Y, X ), c_Orderings_Oord__class_Oless__eq( tc_fun( T,
% 0.88/1.32 tc_HOL_Obool ), c_Relation_ODomain( T, Z, Y ), c_Relation_ODomain( T, Z,
% 0.88/1.32 X ) ) }.
% 0.88/1.32 { ! c_Orderings_Oord__class_Oless__eq( tc_fun( tc_prod( Z, Z ),
% 0.88/1.32 tc_HOL_Obool ), Y, X ), c_Orderings_Oord__class_Oless__eq( tc_fun( Z,
% 0.88/1.32 tc_HOL_Obool ), c_Wellfounded_Oacc( Z, X ), c_Wellfounded_Oacc( Z, Y ) )
% 0.88/1.32 }.
% 0.88/1.32 { c_Orderings_Oord__class_Oless__eq( tc_fun( Y, tc_HOL_Obool ), X, X ) }.
% 0.88/1.32 { ! Z = Y, c_Orderings_Oord__class_Oless__eq( tc_fun( X, tc_HOL_Obool ), Z
% 0.88/1.32 , Y ) }.
% 0.88/1.32 { ! Z = Y, c_Orderings_Oord__class_Oless__eq( tc_fun( X, tc_HOL_Obool ), Y
% 0.88/1.32 , Z ) }.
% 0.88/1.32 { ! c_Orderings_Oord__class_Oless__eq( tc_fun( X, tc_HOL_Obool ), Z, Y ), !
% 0.88/1.32 c_Orderings_Oord__class_Oless__eq( tc_fun( X, tc_HOL_Obool ), Y, Z ), Z
% 0.88/1.32 = Y }.
% 0.88/1.32 { ! Y = X, c_Orderings_Oord__class_Oless__eq( tc_fun( Z, tc_HOL_Obool ), Y
% 0.88/1.32 , X ) }.
% 0.88/1.32 { ! Y = X, c_Orderings_Oord__class_Oless__eq( tc_fun( Z, tc_HOL_Obool ), X
% 0.88/1.32 , Y ) }.
% 0.88/1.32 { ! c_Orderings_Oord__class_Oless__eq( tc_fun( Z, tc_HOL_Obool ), Y, X ), !
% 0.88/1.32 c_Orderings_Oord__class_Oless__eq( tc_fun( Z, tc_HOL_Obool ), X, T ),
% 0.88/1.32 c_Orderings_Oord__class_Oless__eq( tc_fun( Z, tc_HOL_Obool ), Y, T ) }.
% 0.88/1.32 { ! Y = X, c_Orderings_Oord__class_Oless__eq( tc_fun( Z, tc_HOL_Obool ), Y
% 0.88/1.32 , X ) }.
% 0.88/1.32 { ! Y = X, c_Orderings_Oord__class_Oless__eq( tc_fun( Z, tc_HOL_Obool ), X
% 0.88/1.32 , Y ) }.
% 0.88/1.32 { ! hBOOL( hAPP( Y, X ) ), ! c_Orderings_Oord__class_Oless__eq( tc_fun( T,
% 0.88/1.32 tc_HOL_Obool ), Y, Z ), hBOOL( hAPP( Z, X ) ) }.
% 0.88/1.32 { ! c_Orderings_Oord__class_Oless__eq( tc_fun( Z, tc_HOL_Obool ), Y, X ), !
% 0.88/1.32 hBOOL( hAPP( Y, T ) ), hBOOL( hAPP( X, T ) ) }.
% 0.88/1.32 { ! c_Orderings_Oord__class_Oless__eq( tc_fun( tc_prod( Z, Z ),
% 0.88/1.32 tc_HOL_Obool ), Y, X ), c_Orderings_Oord__class_Oless__eq( tc_fun(
% 0.88/1.32 tc_prod( Z, Z ), tc_HOL_Obool ), c_Transitive__Closure_Ortrancl( Z, Y ),
% 0.88/1.32 c_Transitive__Closure_Ortrancl( Z, X ) ) }.
% 0.88/1.32 { ! c_Orderings_Oord__class_Oless__eq( tc_fun( tc_prod( Z, Z ),
% 0.88/1.32 tc_HOL_Obool ), Y, X ), ! c_Orderings_Oord__class_Oless__eq( tc_fun(
% 0.88/1.32 tc_prod( Z, Z ), tc_HOL_Obool ), X, c_Transitive__Closure_Ortrancl( Z, Y
% 0.88/1.32 ) ), c_Transitive__Closure_Ortrancl( Z, X ) =
% 0.88/1.32 c_Transitive__Closure_Ortrancl( Z, Y ) }.
% 0.88/1.32 { ! c_Orderings_Oord__class_Oless__eq( tc_fun( tc_prod( Z, Z ),
% 0.88/1.32 tc_HOL_Obool ), Y, c_Transitive__Closure_Ortrancl( Z, X ) ),
% 0.88/1.32 c_Orderings_Oord__class_Oless__eq( tc_fun( tc_prod( Z, Z ), tc_HOL_Obool
% 0.88/1.32 ), c_Transitive__Closure_Ortrancl( Z, Y ),
% 0.88/1.32 c_Transitive__Closure_Ortrancl( Z, X ) ) }.
% 0.88/1.32 { ! c_Orderings_Oord__class_Oless__eq( tc_fun( Z, tc_HOL_Obool ), Y, X ), !
% 0.88/1.32 c_Orderings_Oord__class_Oless__eq( tc_fun( Z, tc_HOL_Obool ), X, T ),
% 0.88/1.32 c_Groups_Ominus__class_Ominus( tc_fun( Z, tc_HOL_Obool ), X,
% 0.88/1.32 c_Groups_Ominus__class_Ominus( tc_fun( Z, tc_HOL_Obool ), T, Y ) ) = Y }
% 0.88/1.32 .
% 0.88/1.32 { ! c_Orderings_Oord__class_Oless__eq( tc_fun( Z, tc_HOL_Obool ), Y, X ), !
% 0.88/1.32 c_Orderings_Oord__class_Oless__eq( tc_fun( Z, tc_HOL_Obool ), U, T ),
% 0.88/1.32 c_Orderings_Oord__class_Oless__eq( tc_fun( Z, tc_HOL_Obool ),
% 0.88/1.32 c_Groups_Ominus__class_Ominus( tc_fun( Z, tc_HOL_Obool ), Y, T ),
% 0.88/1.32 c_Groups_Ominus__class_Ominus( tc_fun( Z, tc_HOL_Obool ), X, U ) ) }.
% 0.88/1.32 { c_Orderings_Oord__class_Oless__eq( tc_fun( Z, tc_HOL_Obool ),
% 0.88/1.32 c_Groups_Ominus__class_Ominus( tc_fun( Z, tc_HOL_Obool ), Y, X ), Y ) }.
% 0.88/1.32 { ! c_Orderings_Oord__class_Oless__eq( tc_fun( tc_prod( T, Z ),
% 0.88/1.32 tc_HOL_Obool ), Y, X ), ! c_Relation_Osingle__valued( T, Z, X ),
% 0.88/1.32 c_Relation_Osingle__valued( T, Z, Y ) }.
% 0.88/1.32 { ! class_Groups_Oordered__ab__group__add( X ), !
% 0.88/1.32 c_Groups_Ominus__class_Ominus( X, U, T ) = c_Groups_Ominus__class_Ominus
% 0.88/1.32 ( X, Z, Y ), ! c_Orderings_Oord__class_Oless__eq( X, U, T ),
% 0.88/1.32 c_Orderings_Oord__class_Oless__eq( X, Z, Y ) }.
% 0.88/1.32 { ! class_Groups_Oordered__ab__group__add( X ), !
% 0.88/1.32 c_Groups_Ominus__class_Ominus( X, U, T ) = c_Groups_Ominus__class_Ominus
% 0.88/1.32 ( X, Z, Y ), ! c_Orderings_Oord__class_Oless__eq( X, Z, Y ),
% 0.88/1.32 c_Orderings_Oord__class_Oless__eq( X, U, T ) }.
% 0.88/1.32 { ! c_Orderings_Oord__class_Oless__eq( tc_fun( T, tc_HOL_Obool ),
% 0.88/1.32 c_Set_Oinsert( T, Z, Y ), X ), c_member( T, Z, X ) }.
% 0.88/1.32 { ! c_Orderings_Oord__class_Oless__eq( tc_fun( T, tc_HOL_Obool ),
% 0.88/1.32 c_Set_Oinsert( T, Z, Y ), X ), c_Orderings_Oord__class_Oless__eq( tc_fun
% 0.88/1.32 ( T, tc_HOL_Obool ), Y, X ) }.
% 0.88/1.32 { ! c_member( T, Z, X ), ! c_Orderings_Oord__class_Oless__eq( tc_fun( T,
% 0.88/1.32 tc_HOL_Obool ), Y, X ), c_Orderings_Oord__class_Oless__eq( tc_fun( T,
% 0.88/1.32 tc_HOL_Obool ), c_Set_Oinsert( T, Z, Y ), X ) }.
% 0.88/1.32 { c_member( Z, Y, X ), ! c_Orderings_Oord__class_Oless__eq( tc_fun( Z,
% 0.88/1.32 tc_HOL_Obool ), X, c_Set_Oinsert( Z, Y, T ) ),
% 0.88/1.32 c_Orderings_Oord__class_Oless__eq( tc_fun( Z, tc_HOL_Obool ), X, T ) }.
% 0.88/1.32 { c_member( Z, Y, X ), ! c_Orderings_Oord__class_Oless__eq( tc_fun( Z,
% 0.88/1.32 tc_HOL_Obool ), X, T ), c_Orderings_Oord__class_Oless__eq( tc_fun( Z,
% 0.88/1.32 tc_HOL_Obool ), X, c_Set_Oinsert( Z, Y, T ) ) }.
% 0.88/1.32 { ! c_Orderings_Oord__class_Oless__eq( tc_fun( Z, tc_HOL_Obool ), Y,
% 0.88/1.32 c_Set_Oinsert( Z, X, c_Orderings_Obot__class_Obot( tc_fun( Z,
% 0.88/1.32 tc_HOL_Obool ) ) ) ), Y = c_Orderings_Obot__class_Obot( tc_fun( Z,
% 0.88/1.32 tc_HOL_Obool ) ), Y = c_Set_Oinsert( Z, X, c_Orderings_Obot__class_Obot(
% 0.88/1.32 tc_fun( Z, tc_HOL_Obool ) ) ) }.
% 0.88/1.32 { ! c_Orderings_Oord__class_Oless__eq( tc_fun( T, tc_HOL_Obool ),
% 0.88/1.32 c_Groups_Ominus__class_Ominus( tc_fun( T, tc_HOL_Obool ), Z, Y ), X ),
% 0.88/1.32 c_Orderings_Oord__class_Oless__eq( tc_fun( T, tc_HOL_Obool ), Z,
% 0.88/1.32 c_Lattices_Osemilattice__sup__class_Osup( tc_fun( T, tc_HOL_Obool ), Y, X
% 0.88/1.32 ) ) }.
% 0.88/1.32 { ! c_Orderings_Oord__class_Oless__eq( tc_fun( T, tc_HOL_Obool ), Z,
% 0.88/1.32 c_Lattices_Osemilattice__sup__class_Osup( tc_fun( T, tc_HOL_Obool ), Y, X
% 0.88/1.32 ) ), c_Orderings_Oord__class_Oless__eq( tc_fun( T, tc_HOL_Obool ),
% 0.88/1.32 c_Groups_Ominus__class_Ominus( tc_fun( T, tc_HOL_Obool ), Z, Y ), X ) }.
% 0.88/1.32 { ! c_Orderings_Oord__class_Oless__eq( tc_fun( Z, tc_HOL_Obool ), Y, X ),
% 0.88/1.32 c_Lattices_Osemilattice__sup__class_Osup( tc_fun( Z, tc_HOL_Obool ), Y,
% 0.88/1.32 c_Groups_Ominus__class_Ominus( tc_fun( Z, tc_HOL_Obool ), X, Y ) ) = X }
% 0.88/1.32 .
% 0.88/1.32 { ! c_member( tc_prod( Z, Z ), Y, c_Transitive__Closure_Otrancl( Z, X ) ),
% 0.88/1.32 ! c_Orderings_Oord__class_Oless__eq( tc_fun( tc_prod( Z, Z ),
% 0.88/1.32 tc_HOL_Obool ), X, T ), c_member( tc_prod( Z, Z ), Y,
% 0.88/1.32 c_Transitive__Closure_Otrancl( Z, T ) ) }.
% 0.88/1.32 { ! c_Orderings_Oord__class_Oless__eq( tc_fun( Z, tc_HOL_Obool ),
% 0.88/1.32 c_Relation_OImage( Z, Z, Y, X ), X ), c_Relation_OImage( Z, Z,
% 0.88/1.32 c_Transitive__Closure_Ortrancl( Z, Y ), X ) = X }.
% 0.88/1.32 { c_Orderings_Oord__class_Oless__eq( tc_fun( tc_prod( Z, Z ), tc_HOL_Obool
% 0.88/1.32 ), c_Lattices_Osemilattice__sup__class_Osup( tc_fun( tc_prod( Z, Z ),
% 0.88/1.32 tc_HOL_Obool ), c_Transitive__Closure_Ortrancl( Z, Y ),
% 0.88/1.32 c_Transitive__Closure_Ortrancl( Z, X ) ), c_Transitive__Closure_Ortrancl
% 0.88/1.32 ( Z, c_Lattices_Osemilattice__sup__class_Osup( tc_fun( tc_prod( Z, Z ),
% 0.88/1.32 tc_HOL_Obool ), Y, X ) ) ) }.
% 0.88/1.32 { ! c_Wellfounded_Owf( Y, X ), ! c_Orderings_Oord__class_Oless__eq( tc_fun
% 0.88/1.32 ( Y, tc_HOL_Obool ), Z, c_Relation_OImage( Y, Y, X, Z ) ), Z =
% 0.88/1.32 c_Orderings_Obot__class_Obot( tc_fun( Y, tc_HOL_Obool ) ) }.
% 0.88/1.32 { c_Orderings_Oord__class_Oless__eq( tc_fun( T, tc_HOL_Obool ),
% 0.88/1.32 c_Groups_Ominus__class_Ominus( tc_fun( T, tc_HOL_Obool ),
% 0.88/1.32 c_Relation_ODomain( T, Z, Y ), c_Relation_ODomain( T, Z, X ) ),
% 0.88/1.32 c_Relation_ODomain( T, Z, c_Groups_Ominus__class_Ominus( tc_fun( tc_prod
% 0.88/1.32 ( T, Z ), tc_HOL_Obool ), Y, X ) ) ) }.
% 0.88/1.32 { c_Orderings_Oord__class_Oless__eq( tc_fun( T, tc_HOL_Obool ),
% 0.88/1.32 c_Groups_Ominus__class_Ominus( tc_fun( T, tc_HOL_Obool ),
% 0.88/1.32 c_Relation_ORange( Z, T, Y ), c_Relation_ORange( Z, T, X ) ),
% 0.88/1.32 c_Relation_ORange( Z, T, c_Groups_Ominus__class_Ominus( tc_fun( tc_prod(
% 0.88/1.32 Z, T ), tc_HOL_Obool ), Y, X ) ) ) }.
% 0.88/1.32 { c_Wellfounded_Oless__than = c_Transitive__Closure_Otrancl( tc_Nat_Onat,
% 0.88/1.32 c_Wellfounded_Opred__nat ) }.
% 0.88/1.32 { ! c_Orderings_Oord__class_Oless__eq( tc_fun( T, tc_HOL_Obool ), Z,
% 0.88/1.32 c_Set_Oinsert( T, Y, X ) ), alpha16( X, Y, Z, T ) }.
% 0.88/1.32 { ! c_Orderings_Oord__class_Oless__eq( tc_fun( T, tc_HOL_Obool ), Z,
% 0.88/1.32 c_Set_Oinsert( T, Y, X ) ), alpha27( X, Y, Z, T ) }.
% 0.88/1.32 { ! alpha16( X, Y, Z, T ), ! alpha27( X, Y, Z, T ),
% 0.88/1.32 c_Orderings_Oord__class_Oless__eq( tc_fun( T, tc_HOL_Obool ), Z,
% 0.88/1.32 c_Set_Oinsert( T, Y, X ) ) }.
% 0.88/1.32 { ! alpha27( X, Y, Z, T ), c_member( T, Y, Z ),
% 0.88/1.32 c_Orderings_Oord__class_Oless__eq( tc_fun( T, tc_HOL_Obool ), Z, X ) }.
% 0.88/1.32 { ! c_member( T, Y, Z ), alpha27( X, Y, Z, T ) }.
% 0.88/1.32 { ! c_Orderings_Oord__class_Oless__eq( tc_fun( T, tc_HOL_Obool ), Z, X ),
% 0.88/1.32 alpha27( X, Y, Z, T ) }.
% 0.88/1.32 { ! alpha16( X, Y, Z, T ), ! c_member( T, Y, Z ),
% 0.88/1.32 c_Orderings_Oord__class_Oless__eq( tc_fun( T, tc_HOL_Obool ),
% 0.88/1.32 c_Groups_Ominus__class_Ominus( tc_fun( T, tc_HOL_Obool ), Z,
% 0.88/1.32 c_Set_Oinsert( T, Y, c_Orderings_Obot__class_Obot( tc_fun( T,
% 0.88/1.32 tc_HOL_Obool ) ) ) ), X ) }.
% 0.88/1.32 { c_member( T, Y, Z ), alpha16( X, Y, Z, T ) }.
% 0.88/1.32 { ! c_Orderings_Oord__class_Oless__eq( tc_fun( T, tc_HOL_Obool ),
% 0.88/1.32 c_Groups_Ominus__class_Ominus( tc_fun( T, tc_HOL_Obool ), Z,
% 0.88/1.32 c_Set_Oinsert( T, Y, c_Orderings_Obot__class_Obot( tc_fun( T,
% 0.88/1.32 tc_HOL_Obool ) ) ) ), X ), alpha16( X, Y, Z, T ) }.
% 0.88/1.32 { ! c_Orderings_Oord__class_Oless__eq( tc_fun( T, tc_HOL_Obool ),
% 0.88/1.32 c_Groups_Ominus__class_Ominus( tc_fun( T, tc_HOL_Obool ), Z,
% 0.88/1.32 c_Set_Oinsert( T, Y, c_Orderings_Obot__class_Obot( tc_fun( T,
% 0.88/1.32 tc_HOL_Obool ) ) ) ), X ), ! c_member( T, Y, Z ),
% 0.88/1.32 c_Orderings_Oord__class_Oless__eq( tc_fun( T, tc_HOL_Obool ), Z,
% 0.88/1.32 c_Set_Oinsert( T, Y, X ) ) }.
% 0.88/1.32 { c_Wellfounded_Owf( tc_Nat_Onat, c_Wellfounded_Opred__nat ) }.
% 0.88/1.32 { ! c_Orderings_Oord__class_Oless( tc_fun( T, tc_HOL_Obool ), Z,
% 0.88/1.32 c_Set_Oinsert( T, Y, X ) ), alpha17( X, Y, Z, T ) }.
% 0.88/1.32 { ! c_Orderings_Oord__class_Oless( tc_fun( T, tc_HOL_Obool ), Z,
% 0.88/1.32 c_Set_Oinsert( T, Y, X ) ), alpha28( X, Y, Z, T ) }.
% 0.88/1.32 { ! alpha17( X, Y, Z, T ), ! alpha28( X, Y, Z, T ),
% 0.88/1.32 c_Orderings_Oord__class_Oless( tc_fun( T, tc_HOL_Obool ), Z,
% 0.88/1.32 c_Set_Oinsert( T, Y, X ) ) }.
% 0.88/1.32 { ! alpha28( X, Y, Z, T ), c_member( T, Y, X ), alpha35( X, Y, Z, T ) }.
% 0.88/1.32 { ! c_member( T, Y, X ), alpha28( X, Y, Z, T ) }.
% 0.88/1.32 { ! alpha35( X, Y, Z, T ), alpha28( X, Y, Z, T ) }.
% 0.88/1.32 { ! alpha35( X, Y, Z, T ), alpha37( X, Y, Z, T ) }.
% 0.88/1.32 { ! alpha35( X, Y, Z, T ), alpha38( X, Y, Z, T ) }.
% 0.88/1.32 { ! alpha37( X, Y, Z, T ), ! alpha38( X, Y, Z, T ), alpha35( X, Y, Z, T ) }
% 0.88/1.32 .
% 0.88/1.32 { ! alpha38( X, Y, Z, T ), c_member( T, Y, Z ),
% 0.88/1.32 c_Orderings_Oord__class_Oless__eq( tc_fun( T, tc_HOL_Obool ), Z, X ) }.
% 0.88/1.32 { ! c_member( T, Y, Z ), alpha38( X, Y, Z, T ) }.
% 0.88/1.32 { ! c_Orderings_Oord__class_Oless__eq( tc_fun( T, tc_HOL_Obool ), Z, X ),
% 0.88/1.32 alpha38( X, Y, Z, T ) }.
% 0.88/1.32 { ! alpha37( X, Y, Z, T ), ! c_member( T, Y, Z ),
% 0.88/1.32 c_Orderings_Oord__class_Oless( tc_fun( T, tc_HOL_Obool ),
% 0.88/1.32 c_Groups_Ominus__class_Ominus( tc_fun( T, tc_HOL_Obool ), Z,
% 0.88/1.32 c_Set_Oinsert( T, Y, c_Orderings_Obot__class_Obot( tc_fun( T,
% 0.88/1.32 tc_HOL_Obool ) ) ) ), X ) }.
% 0.88/1.32 { c_member( T, Y, Z ), alpha37( X, Y, Z, T ) }.
% 0.88/1.32 { ! c_Orderings_Oord__class_Oless( tc_fun( T, tc_HOL_Obool ),
% 0.88/1.32 c_Groups_Ominus__class_Ominus( tc_fun( T, tc_HOL_Obool ), Z,
% 0.88/1.32 c_Set_Oinsert( T, Y, c_Orderings_Obot__class_Obot( tc_fun( T,
% 0.88/1.32 tc_HOL_Obool ) ) ) ), X ), alpha37( X, Y, Z, T ) }.
% 0.88/1.32 { ! alpha17( X, Y, Z, T ), ! c_member( T, Y, X ),
% 0.88/1.32 c_Orderings_Oord__class_Oless( tc_fun( T, tc_HOL_Obool ), Z, X ) }.
% 0.88/1.32 { c_member( T, Y, X ), alpha17( X, Y, Z, T ) }.
% 0.88/1.32 { ! c_Orderings_Oord__class_Oless( tc_fun( T, tc_HOL_Obool ), Z, X ),
% 0.88/1.32 alpha17( X, Y, Z, T ) }.
% 0.88/1.32 { ! c_Order__Relation_Opreorder__on( Y, c_Relation_OField( Y, X ), X ), !
% 0.88/1.32 c_Orderings_Oord__class_Oless__eq( tc_fun( Y, tc_HOL_Obool ), Z,
% 0.88/1.32 c_Relation_OField( Y, X ) ), ! c_Orderings_Oord__class_Oless__eq( tc_fun
% 0.88/1.32 ( Y, tc_HOL_Obool ), T, c_Relation_OField( Y, X ) ), !
% 0.88/1.32 c_Orderings_Oord__class_Oless__eq( tc_fun( Y, tc_HOL_Obool ),
% 0.88/1.32 c_Relation_OImage( Y, Y, X, Z ), c_Relation_OImage( Y, Y, X, T ) ), !
% 0.88/1.32 c_member( Y, U, Z ), alpha18( X, Y, T, U ) }.
% 0.88/1.32 { ! c_Order__Relation_Opreorder__on( Y, c_Relation_OField( Y, X ), X ), !
% 0.88/1.32 c_Orderings_Oord__class_Oless__eq( tc_fun( Y, tc_HOL_Obool ), Z,
% 0.88/1.32 c_Relation_OField( Y, X ) ), ! c_Orderings_Oord__class_Oless__eq( tc_fun
% 0.88/1.32 ( Y, tc_HOL_Obool ), T, c_Relation_OField( Y, X ) ), c_member( Y, skol68
% 0.88/1.32 ( U, Y, Z, W ), Z ), c_Orderings_Oord__class_Oless__eq( tc_fun( Y,
% 0.88/1.32 tc_HOL_Obool ), c_Relation_OImage( Y, Y, X, Z ), c_Relation_OImage( Y, Y
% 0.88/1.32 , X, T ) ) }.
% 0.88/1.32 { ! c_Order__Relation_Opreorder__on( Y, c_Relation_OField( Y, X ), X ), !
% 0.88/1.32 c_Orderings_Oord__class_Oless__eq( tc_fun( Y, tc_HOL_Obool ), Z,
% 0.88/1.32 c_Relation_OField( Y, X ) ), ! c_Orderings_Oord__class_Oless__eq( tc_fun
% 0.88/1.32 ( Y, tc_HOL_Obool ), T, c_Relation_OField( Y, X ) ), ! alpha18( X, Y, T,
% 0.88/1.32 skol68( X, Y, Z, T ) ), c_Orderings_Oord__class_Oless__eq( tc_fun( Y,
% 0.88/1.32 tc_HOL_Obool ), c_Relation_OImage( Y, Y, X, Z ), c_Relation_OImage( Y, Y
% 0.88/1.32 , X, T ) ) }.
% 0.88/1.32 { ! alpha18( X, Y, Z, T ), c_member( Y, skol69( U, Y, Z, W ), Z ) }.
% 0.88/1.32 { ! alpha18( X, Y, Z, T ), c_member( tc_prod( Y, Y ), c_Product__Type_OPair
% 0.88/1.32 ( Y, Y, skol69( X, Y, Z, T ), T ), X ) }.
% 0.88/1.32 { ! c_member( Y, U, Z ), ! c_member( tc_prod( Y, Y ), c_Product__Type_OPair
% 0.88/1.32 ( Y, Y, U, T ), X ), alpha18( X, Y, Z, T ) }.
% 0.88/1.32 { ! c_member( U, T, c_Relation_OImage( Z, U, Y, X ) ), c_member( Z, skol70
% 0.88/1.32 ( X, W, Z, V0, V1 ), X ) }.
% 0.88/1.32 { ! c_member( U, T, c_Relation_OImage( Z, U, Y, X ) ), c_member( tc_prod( Z
% 0.88/1.32 , U ), c_Product__Type_OPair( Z, U, skol70( X, Y, Z, T, U ), T ), Y ) }.
% 0.88/1.32 { ! c_Lattices_Osemilattice__inf__class_Oinf( tc_fun( tc_prod( Y, Y ),
% 0.88/1.32 tc_HOL_Obool ), c_Relation_Oconverse( Y, Y, X ),
% 0.88/1.32 c_Transitive__Closure_Ortrancl( Y, X ) ) = c_Orderings_Obot__class_Obot(
% 0.88/1.32 tc_fun( tc_prod( Y, Y ), tc_HOL_Obool ) ), ! c_member( tc_prod( Y, Y ),
% 0.88/1.32 c_Product__Type_OPair( Y, Y, Z, Z ), c_Transitive__Closure_Otrancl( Y, X
% 0.88/1.32 ) ) }.
% 0.88/1.32 { ! hBOOL( hAPP( c_Lattices_Osemilattice__inf__class_Oinf( tc_fun( T,
% 0.88/1.32 tc_HOL_Obool ), Z, Y ), X ) ), hBOOL( hAPP( Z, X ) ) }.
% 0.88/1.32 { ! hBOOL( hAPP( c_Lattices_Osemilattice__inf__class_Oinf( tc_fun( T,
% 0.88/1.32 tc_HOL_Obool ), Z, Y ), X ) ), hBOOL( hAPP( Y, X ) ) }.
% 0.88/1.32 { ! hBOOL( hAPP( Y, X ) ), ! hBOOL( hAPP( Z, X ) ), hBOOL( hAPP(
% 0.88/1.32 c_Lattices_Osemilattice__inf__class_Oinf( tc_fun( T, tc_HOL_Obool ), Y, Z
% 0.88/1.32 ), X ) ) }.
% 0.88/1.32 { ! c_member( T, Z, c_Lattices_Osemilattice__inf__class_Oinf( tc_fun( T,
% 0.88/1.32 tc_HOL_Obool ), Y, X ) ), c_member( T, Z, Y ) }.
% 0.88/1.32 { ! c_member( T, Z, c_Lattices_Osemilattice__inf__class_Oinf( tc_fun( T,
% 0.88/1.32 tc_HOL_Obool ), Y, X ) ), c_member( T, Z, X ) }.
% 0.88/1.32 { ! c_member( Z, Y, X ), ! c_member( Z, Y, T ), c_member( Z, Y,
% 0.88/1.32 c_Lattices_Osemilattice__inf__class_Oinf( tc_fun( Z, tc_HOL_Obool ), X, T
% 0.88/1.32 ) ) }.
% 0.88/1.32 { ! c_Orderings_Oord__class_Oless( tc_Nat_Onat, Y, X ),
% 0.88/1.32 c_Orderings_Oord__class_Oless__eq( tc_Nat_Onat, Y, X ) }.
% 0.88/1.32 { c_Orderings_Oord__class_Oless__eq( tc_fun( U, tc_HOL_Obool ),
% 0.88/1.32 c_Relation_OImage( T, U, Z, c_Lattices_Osemilattice__inf__class_Oinf(
% 0.88/1.32 tc_fun( T, tc_HOL_Obool ), Y, X ) ),
% 0.88/1.32 c_Lattices_Osemilattice__inf__class_Oinf( tc_fun( U, tc_HOL_Obool ),
% 0.88/1.32 c_Relation_OImage( T, U, Z, Y ), c_Relation_OImage( T, U, Z, X ) ) ) }.
% 0.88/1.32 { ! c_Lattices_Osemilattice__sup__class_Osup( tc_fun( T, tc_HOL_Obool ),
% 0.88/1.32 c_Lattices_Osemilattice__inf__class_Oinf( tc_fun( T, tc_HOL_Obool ), Z, Y
% 0.88/1.32 ), X ) = c_Lattices_Osemilattice__inf__class_Oinf( tc_fun( T,
% 0.88/1.32 tc_HOL_Obool ), Z, c_Lattices_Osemilattice__sup__class_Osup( tc_fun( T,
% 0.88/1.32 tc_HOL_Obool ), Y, X ) ), c_Orderings_Oord__class_Oless__eq( tc_fun( T,
% 0.88/1.32 tc_HOL_Obool ), X, Z ) }.
% 0.88/1.32 { ! c_Orderings_Oord__class_Oless__eq( tc_fun( T, tc_HOL_Obool ), X, Z ),
% 0.88/1.32 c_Lattices_Osemilattice__sup__class_Osup( tc_fun( T, tc_HOL_Obool ),
% 0.88/1.32 c_Lattices_Osemilattice__inf__class_Oinf( tc_fun( T, tc_HOL_Obool ), Z, Y
% 0.88/1.32 ), X ) = c_Lattices_Osemilattice__inf__class_Oinf( tc_fun( T,
% 0.88/1.32 tc_HOL_Obool ), Z, c_Lattices_Osemilattice__sup__class_Osup( tc_fun( T,
% 0.88/1.32 tc_HOL_Obool ), Y, X ) ) }.
% 0.88/1.32 { ! class_Lattices_Olattice( X ), c_Orderings_Oord__class_Oless__eq( X,
% 0.88/1.32 c_Lattices_Osemilattice__sup__class_Osup( X,
% 0.88/1.32 c_Lattices_Osemilattice__inf__class_Oinf( X, T, Z ),
% 0.88/1.32 c_Lattices_Osemilattice__inf__class_Oinf( X, T, Y ) ),
% 0.88/1.32 c_Lattices_Osemilattice__inf__class_Oinf( X, T,
% 0.88/1.32 c_Lattices_Osemilattice__sup__class_Osup( X, Z, Y ) ) ) }.
% 0.88/1.32 { ! class_Lattices_Olattice( X ), c_Orderings_Oord__class_Oless__eq( X,
% 0.88/1.32 c_Lattices_Osemilattice__sup__class_Osup( X, T,
% 0.88/1.32 c_Lattices_Osemilattice__inf__class_Oinf( X, Z, Y ) ),
% 0.88/1.32 c_Lattices_Osemilattice__inf__class_Oinf( X,
% 0.88/1.32 c_Lattices_Osemilattice__sup__class_Osup( X, T, Z ),
% 0.88/1.32 c_Lattices_Osemilattice__sup__class_Osup( X, T, Y ) ) ) }.
% 0.88/1.32 { ! class_Lattices_Olattice( X ), c_Orderings_Oord__class_Oless__eq( X,
% 0.88/1.32 c_Lattices_Osemilattice__inf__class_Oinf( X, Z, Y ), Z ) }.
% 0.88/1.32 { ! class_Lattices_Osemilattice__inf( X ),
% 0.88/1.32 c_Orderings_Oord__class_Oless__eq( X,
% 0.88/1.32 c_Lattices_Osemilattice__inf__class_Oinf( X, Z, Y ), Z ) }.
% 0.88/1.32 { ! class_Lattices_Olattice( X ), c_Orderings_Oord__class_Oless__eq( X,
% 0.88/1.32 c_Lattices_Osemilattice__inf__class_Oinf( X, Z, Y ), Y ) }.
% 0.88/1.32 { ! class_Lattices_Osemilattice__inf( X ),
% 0.88/1.32 c_Orderings_Oord__class_Oless__eq( X,
% 0.88/1.32 c_Lattices_Osemilattice__inf__class_Oinf( X, Z, Y ), Y ) }.
% 0.88/1.32 { ! class_Lattices_Osemilattice__inf( X ), !
% 0.88/1.32 c_Orderings_Oord__class_Oless__eq( X, Z, Y ),
% 0.88/1.32 c_Lattices_Osemilattice__inf__class_Oinf( X, Z, Y ) = Z }.
% 0.88/1.32 { ! class_Lattices_Osemilattice__inf( X ), !
% 0.88/1.32 c_Lattices_Osemilattice__inf__class_Oinf( X, Z, Y ) = Z,
% 0.88/1.32 c_Orderings_Oord__class_Oless__eq( X, Z, Y ) }.
% 0.88/1.32 { ! class_Lattices_Osemilattice__inf( X ), !
% 0.88/1.32 c_Orderings_Oord__class_Oless__eq( X, T,
% 0.88/1.32 c_Lattices_Osemilattice__inf__class_Oinf( X, Z, Y ) ),
% 0.88/1.32 c_Orderings_Oord__class_Oless__eq( X, T, Z ) }.
% 0.88/1.32 { ! class_Lattices_Osemilattice__inf( X ), !
% 0.88/1.32 c_Orderings_Oord__class_Oless__eq( X, T,
% 0.88/1.32 c_Lattices_Osemilattice__inf__class_Oinf( X, Z, Y ) ),
% 0.88/1.32 c_Orderings_Oord__class_Oless__eq( X, T, Y ) }.
% 0.88/1.32 { ! class_Lattices_Osemilattice__inf( X ), !
% 0.88/1.32 c_Orderings_Oord__class_Oless__eq( X, T, Z ), !
% 0.88/1.32 c_Orderings_Oord__class_Oless__eq( X, T, Y ),
% 0.88/1.32 c_Orderings_Oord__class_Oless__eq( X, T,
% 0.88/1.32 c_Lattices_Osemilattice__inf__class_Oinf( X, Z, Y ) ) }.
% 0.88/1.32 { ! class_Lattices_Osemilattice__inf( X ), !
% 0.88/1.32 c_Orderings_Oord__class_Oless__eq( X, Z, Y ),
% 0.88/1.32 c_Orderings_Oord__class_Oless__eq( X,
% 0.88/1.32 c_Lattices_Osemilattice__inf__class_Oinf( X, Z, T ), Y ) }.
% 0.88/1.32 { ! class_Lattices_Osemilattice__inf( X ), !
% 0.88/1.32 c_Orderings_Oord__class_Oless__eq( X, Z, Y ),
% 0.88/1.32 c_Orderings_Oord__class_Oless__eq( X,
% 0.88/1.32 c_Lattices_Osemilattice__inf__class_Oinf( X, T, Z ), Y ) }.
% 0.88/1.32 { ! class_Lattices_Osemilattice__inf( X ), !
% 0.88/1.32 c_Orderings_Oord__class_Oless__eq( X, Z, Y ),
% 0.88/1.32 c_Lattices_Osemilattice__inf__class_Oinf( X, Z, Y ) = Z }.
% 0.88/1.32 { ! class_Lattices_Osemilattice__inf( X ), !
% 0.88/1.32 c_Orderings_Oord__class_Oless__eq( X, Z, Y ),
% 0.88/1.32 c_Lattices_Osemilattice__inf__class_Oinf( X, Y, Z ) = Z }.
% 0.88/1.32 { ! class_Lattices_Osemilattice__inf( X ), !
% 0.88/1.32 c_Orderings_Oord__class_Oless__eq( X, Z, Y ), !
% 0.88/1.32 c_Orderings_Oord__class_Oless__eq( X, Z, T ),
% 0.88/1.32 c_Orderings_Oord__class_Oless__eq( X, Z,
% 0.88/1.32 c_Lattices_Osemilattice__inf__class_Oinf( X, Y, T ) ) }.
% 0.88/1.32 { ! class_Lattices_Osemilattice__inf( X ), !
% 0.88/1.32 c_Orderings_Oord__class_Oless__eq( X, Z, Y ), !
% 0.88/1.32 c_Orderings_Oord__class_Oless__eq( X, Z, T ),
% 0.88/1.32 c_Orderings_Oord__class_Oless__eq( X, Z,
% 0.88/1.32 c_Lattices_Osemilattice__inf__class_Oinf( X, Y, T ) ) }.
% 0.88/1.32 { ! class_Lattices_Osemilattice__inf( X ), !
% 0.88/1.32 c_Orderings_Oord__class_Oless__eq( X, Z, Y ), !
% 0.88/1.32 c_Orderings_Oord__class_Oless__eq( X, U, T ),
% 0.88/1.32 c_Orderings_Oord__class_Oless__eq( X,
% 0.88/1.32 c_Lattices_Osemilattice__inf__class_Oinf( X, Z, U ),
% 0.88/1.32 c_Lattices_Osemilattice__inf__class_Oinf( X, Y, T ) ) }.
% 0.88/1.33 { ! class_Lattices_Osemilattice__inf( X ), !
% 0.88/1.33 c_Orderings_Oord__class_Oless__eq( X, T,
% 0.88/1.33 c_Lattices_Osemilattice__inf__class_Oinf( X, Z, Y ) ),
% 0.88/1.33 c_Orderings_Oord__class_Oless__eq( X, T, Z ) }.
% 0.88/1.33 { ! class_Lattices_Osemilattice__inf( X ), !
% 0.88/1.33 c_Orderings_Oord__class_Oless__eq( X, T,
% 0.88/1.33 c_Lattices_Osemilattice__inf__class_Oinf( X, Z, Y ) ),
% 0.88/1.33 c_Orderings_Oord__class_Oless__eq( X, T, Y ) }.
% 0.88/1.33 { c_Orderings_Oord__class_Oless__eq( tc_fun( T, tc_HOL_Obool ),
% 0.88/1.33 c_Relation_ORange( Z, T, c_Lattices_Osemilattice__inf__class_Oinf( tc_fun
% 0.88/1.33 ( tc_prod( Z, T ), tc_HOL_Obool ), Y, X ) ),
% 0.88/1.33 c_Lattices_Osemilattice__inf__class_Oinf( tc_fun( T, tc_HOL_Obool ),
% 0.88/1.33 c_Relation_ORange( Z, T, Y ), c_Relation_ORange( Z, T, X ) ) ) }.
% 0.88/1.33 { class_Lattices_Obounded__lattice( tc_HOL_Obool ) }.
% 0.88/1.33 { ! class_Lattices_Obounded__lattice( X ), class_Lattices_Obounded__lattice
% 0.88/1.33 ( tc_fun( Y, X ) ) }.
% 0.88/1.33 { ! class_Lattices_Obounded__lattice( X ),
% 0.88/1.33 class_Lattices_Obounded__lattice__bot( tc_fun( Y, X ) ) }.
% 0.88/1.33 { ! class_Lattices_Olattice( X ), class_Lattices_Osemilattice__sup( tc_fun
% 0.88/1.33 ( Y, X ) ) }.
% 0.88/1.33 { ! class_Lattices_Olattice( X ), class_Lattices_Osemilattice__inf( tc_fun
% 0.88/1.33 ( Y, X ) ) }.
% 0.88/1.33 { ! class_Orderings_Opreorder( X ), class_Orderings_Opreorder( tc_fun( Y, X
% 0.88/1.33 ) ) }.
% 0.88/1.33 { ! class_Lattices_Olattice( X ), class_Lattices_Olattice( tc_fun( Y, X ) )
% 0.88/1.33 }.
% 0.88/1.33 { ! class_Orderings_Oorder( X ), class_Orderings_Oorder( tc_fun( Y, X ) ) }
% 0.88/1.33 .
% 0.88/1.33 { ! class_Orderings_Oord( X ), class_Orderings_Oord( tc_fun( Y, X ) ) }.
% 0.88/1.33 { ! class_Orderings_Obot( X ), class_Orderings_Obot( tc_fun( Y, X ) ) }.
% 0.88/1.33 { ! class_Groups_Ominus( X ), class_Groups_Ominus( tc_fun( Y, X ) ) }.
% 0.88/1.33 { class_Lattices_Osemilattice__sup( tc_Nat_Onat ) }.
% 0.88/1.33 { class_Lattices_Osemilattice__inf( tc_Nat_Onat ) }.
% 0.88/1.33 { class_Orderings_Opreorder( tc_Nat_Onat ) }.
% 0.88/1.33 { class_Orderings_Olinorder( tc_Nat_Onat ) }.
% 0.88/1.33 { class_Lattices_Olattice( tc_Nat_Onat ) }.
% 0.88/1.33 { class_Orderings_Oorder( tc_Nat_Onat ) }.
% 0.88/1.33 { class_Orderings_Oord( tc_Nat_Onat ) }.
% 0.88/1.33 { class_Orderings_Obot( tc_Nat_Onat ) }.
% 0.88/1.33 { class_Groups_Ominus( tc_Nat_Onat ) }.
% 0.88/1.33 { class_Lattices_Obounded__lattice__bot( tc_HOL_Obool ) }.
% 0.88/1.33 { class_Lattices_Osemilattice__sup( tc_HOL_Obool ) }.
% 0.88/1.33 { class_Lattices_Osemilattice__inf( tc_HOL_Obool ) }.
% 0.88/1.33 { class_Orderings_Opreorder( tc_HOL_Obool ) }.
% 0.88/1.33 { class_Lattices_Olattice( tc_HOL_Obool ) }.
% 0.88/1.33 { class_Orderings_Oorder( tc_HOL_Obool ) }.
% 0.88/1.33 { class_Orderings_Oord( tc_HOL_Obool ) }.
% 0.88/1.33 { class_Orderings_Obot( tc_HOL_Obool ) }.
% 0.88/1.33 { class_Groups_Ominus( tc_HOL_Obool ) }.
% 0.88/1.33 { ! hBOOL( hAPP( c_fequal( Y ), X ) ), Y = X }.
% 0.88/1.33 { ! Y = X, hBOOL( hAPP( c_fequal( Y ), X ) ) }.
% 0.88/1.33 { alpha44, ! v_y = v_z }.
% 0.88/1.33 { alpha44, alpha19 }.
% 0.88/1.33 { alpha44, ! c_member( tc_prod( tc_Arrow__Order__Mirabelle_Oalt,
% 0.88/1.33 tc_Arrow__Order__Mirabelle_Oalt ), c_Product__Type_OPair(
% 0.88/1.33 tc_Arrow__Order__Mirabelle_Oalt, tc_Arrow__Order__Mirabelle_Oalt, v_x,
% 0.88/1.33 v_y ), c_Arrow__Order__Mirabelle_Omkbot( v_L, v_z ) ) }.
% 0.88/1.33 { ! alpha44, c_member( tc_prod( tc_Arrow__Order__Mirabelle_Oalt,
% 0.88/1.33 tc_Arrow__Order__Mirabelle_Oalt ), c_Product__Type_OPair(
% 0.88/1.33 tc_Arrow__Order__Mirabelle_Oalt, tc_Arrow__Order__Mirabelle_Oalt, v_x,
% 0.88/1.33 v_y ), c_Arrow__Order__Mirabelle_Omkbot( v_L, v_z ) ) }.
% 0.88/1.33 { ! alpha44, v_y = v_z, ! alpha19 }.
% 0.88/1.33 { ! c_member( tc_prod( tc_Arrow__Order__Mirabelle_Oalt,
% 0.88/1.33 tc_Arrow__Order__Mirabelle_Oalt ), c_Product__Type_OPair(
% 0.88/1.33 tc_Arrow__Order__Mirabelle_Oalt, tc_Arrow__Order__Mirabelle_Oalt, v_x,
% 0.88/1.33 v_y ), c_Arrow__Order__Mirabelle_Omkbot( v_L, v_z ) ), ! v_y = v_z,
% 0.88/1.33 alpha44 }.
% 0.88/1.33 { ! c_member( tc_prod( tc_Arrow__Order__Mirabelle_Oalt,
% 0.88/1.33 tc_Arrow__Order__Mirabelle_Oalt ), c_Product__Type_OPair(
% 0.88/1.33 tc_Arrow__Order__Mirabelle_Oalt, tc_Arrow__Order__Mirabelle_Oalt, v_x,
% 0.88/1.33 v_y ), c_Arrow__Order__Mirabelle_Omkbot( v_L, v_z ) ), alpha19, alpha44 }
% 0.88/1.33 .
% 0.88/1.33 { ! alpha19, alpha29 }.
% 0.88/1.33 { ! alpha19, alpha36 }.
% 0.88/1.33 { ! alpha29, ! alpha36, alpha19 }.
% 0.88/1.33 { ! alpha36, v_x = v_z, c_member( tc_prod( tc_Arrow__Order__Mirabelle_Oalt
% 0.88/1.33 , tc_Arrow__Order__Mirabelle_Oalt ), c_Product__Type_OPair(
% 0.88/1.33 tc_Arrow__Order__Mirabelle_Oalt, tc_Arrow__Order__Mirabelle_Oalt, v_x,
% 0.88/1.33 v_y ), v_L ) }.
% 0.88/1.33 { ! v_x = v_z, alpha36 }.
% 0.88/1.33 { ! c_member( tc_prod( tc_Arrow__Order__Mirabelle_Oalt,
% 0.88/1.33 tc_Arrow__Order__Mirabelle_Oalt ), c_Product__Type_OPair(
% 0.88/1.33 tc_Arrow__Order__Mirabelle_Oalt, tc_Arrow__Order__Mirabelle_Oalt, v_x,
% 0.88/1.33 v_y ), v_L ), alpha36 }.
% 0.88/1.33 { ! alpha29, ! v_x = v_z, ! v_x = v_y }.
% 0.88/1.33 { v_x = v_z, alpha29 }.
% 0.88/1.33 { v_x = v_y, alpha29 }.
% 0.88/1.33
% 0.88/1.33 *** allocated 15000 integers for clauses
% 0.88/1.33 *** allocated 22500 integers for clauses
% 0.88/1.33 *** allocated 33750 integers for clauses
% 0.88/1.33 *** allocated 50625 integers for clauses
% 0.88/1.33 percentage equality = 0.174015, percentage horn = 0.856192
% 0.88/1.33 This is a problem with some equality
% 0.88/1.33
% 0.88/1.33
% 0.88/1.33
% 0.88/1.33 Options Used:
% 0.88/1.33
% 0.88/1.33 useres = 1
% 0.88/1.33 useparamod = 1
% 0.88/1.33 useeqrefl = 1
% 0.88/1.33 useeqfact = 1
% 0.88/1.33 usefactor = 1
% 0.88/1.33 usesimpsplitting = 0
% 0.88/1.33 usesimpdemod = 5
% 0.88/1.33 usesimpres = 3
% 0.88/1.33
% 0.88/1.33 resimpinuse = 1000
% 0.88/1.33 resimpclauses = 20000
% 0.88/1.33 substype = eqrewr
% 0.88/1.33 backwardsubs = 1
% 0.88/1.33 selectoldest = 5
% 0.88/1.33
% 0.88/1.33 litorderings [0] = split
% 0.88/1.33 litorderings [1] = extend the termordering, first sorting on arguments
% 0.88/1.33
% 0.88/1.33 termordering = kbo
% 0.88/1.33
% 0.88/1.33 litapriori = 0
% 0.88/1.33 termapriori = 1
% 0.88/1.33 litaposteriori = 0
% 0.88/1.33 termaposteriori = 0
% 0.88/1.33 demodaposteriori = 0
% 0.88/1.33 ordereqreflfact = 0
% 0.88/1.33
% 0.88/1.33 litselect = negord
% 0.88/1.33
% 0.88/1.33 maxweight = 15
% 0.88/1.33 maxdepth = 30000
% 0.88/1.33 maxlength = 115
% 0.88/1.33 maxnrvars = 195
% 0.88/1.33 excuselevel = 1
% 0.88/1.33 increasemaxweight = 1
% 0.88/1.33
% 0.88/1.33 maxselected = 10000000
% 0.88/1.33 maxnrclauses = 10000000
% 0.88/1.33
% 0.88/1.33 showgenerated = 0
% 0.88/1.33 showkept = 0
% 0.88/1.33 showselected = 0
% 0.88/1.33 showdeleted = 0
% 0.88/1.33 showresimp = 1
% 0.88/1.33 showstatus = 2000
% 0.88/1.33
% 0.88/1.33 prologoutput = 0
% 0.88/1.33 nrgoals = 5000000
% 0.88/1.33 totalproof = 1
% 0.88/1.33
% 0.88/1.33 Symbols occurring in the translation:
% 0.88/1.33
% 0.88/1.33 {} [0, 0] (w:1, o:2, a:1, s:1, b:0),
% 0.88/1.33 . [1, 2] (w:1, o:125, a:1, s:1, b:0),
% 0.88/1.33 ! [4, 1] (w:0, o:101, a:1, s:1, b:0),
% 0.88/1.33 = [13, 2] (w:1, o:0, a:0, s:1, b:0),
% 0.88/1.33 ==> [14, 2] (w:1, o:0, a:0, s:1, b:0),
% 0.88/1.33 hAPP [38, 2] (w:1, o:149, a:1, s:1, b:0),
% 0.88/1.33 tc_Arrow__Order__Mirabelle_Oalt [43, 0] (w:1, o:22, a:1, s:1, b:0),
% 0.88/1.33 tc_prod [44, 2] (w:1, o:172, a:1, s:1, b:0),
% 0.88/1.33 c_Product__Type_OPair [45, 4] (w:1, o:236, a:1, s:1, b:0),
% 0.88/1.33 c_Arrow__Order__Mirabelle_Omktop [46, 2] (w:1, o:173, a:1, s:1, b:0)
% 0.88/1.33 ,
% 0.88/1.33 c_member [47, 3] (w:1, o:189, a:1, s:1, b:0),
% 0.88/1.33 c_FunDef_Oin__rel [54, 3] (w:1, o:190, a:1, s:1, b:0),
% 0.88/1.33 hBOOL [55, 1] (w:1, o:106, a:1, s:1, b:0),
% 0.88/1.33 c_Recdef_Osame__fst [58, 4] (w:1, o:237, a:1, s:1, b:0),
% 0.88/1.33 c_Nitpick_Orefl_H [60, 2] (w:1, o:174, a:1, s:1, b:0),
% 0.88/1.33 c_Product__Type_Oprod_Oprod__rec [74, 5] (w:1, o:293, a:1, s:1, b:0)
% 0.88/1.33 ,
% 0.88/1.33 c_Wellfounded_Olex__prod [76, 4] (w:1, o:238, a:1, s:1, b:0),
% 0.88/1.33 tc_HOL_Obool [77, 0] (w:1, o:59, a:1, s:1, b:0),
% 0.88/1.33 tc_fun [78, 2] (w:1, o:175, a:1, s:1, b:0),
% 0.88/1.33 c_Arrow__Order__Mirabelle_OLin [79, 0] (w:1, o:60, a:1, s:1, b:0),
% 0.88/1.33 c_Product__Type_Ointernal__split [80, 5] (w:1, o:294, a:1, s:1, b:0)
% 0.88/1.33 ,
% 0.88/1.33 c_Recdef_Owfrec__rel [84, 6] (w:1, o:305, a:1, s:1, b:0),
% 0.88/1.33 c_Product__Type_Ocurry [87, 6] (w:1, o:306, a:1, s:1, b:0),
% 0.88/1.33 c_Recdef_Ocut [88, 5] (w:1, o:295, a:1, s:1, b:0),
% 0.88/1.33 c_fequal [92, 1] (w:1, o:107, a:1, s:1, b:0),
% 0.88/1.33 c_Wellfounded_Oacc [94, 2] (w:1, o:176, a:1, s:1, b:0),
% 0.88/1.33 c_Nitpick_Owf__wfrec_H [95, 5] (w:1, o:296, a:1, s:1, b:0),
% 0.88/1.33 c_Nitpick_Owf__wfrec [96, 4] (w:1, o:239, a:1, s:1, b:0),
% 0.88/1.33 c_Relation_Oconverse [97, 3] (w:1, o:191, a:1, s:1, b:0),
% 0.88/1.33 c_Product__Type_OSigma [98, 4] (w:1, o:240, a:1, s:1, b:0),
% 0.88/1.33 c_Relation_Oirrefl [99, 2] (w:1, o:177, a:1, s:1, b:0),
% 0.88/1.33 c_Relation_ORange [100, 3] (w:1, o:192, a:1, s:1, b:0),
% 0.88/1.33 c_Relation_OId__on [102, 2] (w:1, o:178, a:1, s:1, b:0),
% 0.88/1.33 c_Relation_ODomain [103, 3] (w:1, o:193, a:1, s:1, b:0),
% 0.88/1.33 c_Transitive__Closure_Ortrancl [104, 2] (w:1, o:180, a:1, s:1, b:0),
% 0.88/1.33
% 0.88/1.33 c_Relation_Osingle__valued [106, 3] (w:1, o:195, a:1, s:1, b:0),
% 0.88/1.33 c_Relation_Ototal__on [115, 3] (w:1, o:196, a:1, s:1, b:0),
% 0.88/1.33 c_Relation_Oinv__image [117, 3] (w:1, o:197, a:1, s:1, b:0),
% 0.88/1.33 c_Relation_Orefl__on [118, 3] (w:1, o:194, a:1, s:1, b:0),
% 0.88/1.33 c_Transitive__Closure_Otrancl [119, 2] (w:1, o:181, a:1, s:1, b:0),
% 0.88/1.33 c_Relation_OId [120, 1] (w:1, o:108, a:1, s:1, b:0),
% 0.88/1.33 c_Relation_Oantisym [121, 2] (w:1, o:182, a:1, s:1, b:0),
% 0.88/1.33 c_Wellfounded_Oacyclic [122, 2] (w:1, o:183, a:1, s:1, b:0),
% 0.88/1.33 c_Set_Oinsert [123, 3] (w:1, o:198, a:1, s:1, b:0),
% 0.88/1.33 c_Lattices_Osemilattice__sup__class_Osup [125, 3] (w:1, o:199, a:1
% 0.88/1.33 , s:1, b:0),
% 0.88/1.33 c_Groups_Ominus__class_Ominus [126, 3] (w:1, o:200, a:1, s:1, b:0),
% 0.88/1.33 class_Groups_Ominus [129, 1] (w:1, o:109, a:1, s:1, b:0),
% 0.88/1.33 class_Lattices_Olattice [130, 1] (w:1, o:110, a:1, s:1, b:0),
% 0.88/1.33 c_Relation_Otrans [132, 2] (w:1, o:184, a:1, s:1, b:0),
% 0.88/1.33 c_Wellfounded_Owf [133, 2] (w:1, o:185, a:1, s:1, b:0),
% 0.88/1.33 class_Lattices_Osemilattice__sup [138, 1] (w:1, o:111, a:1, s:1, b:0)
% 0.88/1.33 ,
% 0.88/1.33 c_Order__Relation_Ostrict__linear__order__on [143, 3] (w:1, o:201, a:
% 0.88/1.33 1, s:1, b:0),
% 0.88/1.33 c_Wellfounded_Omeasure [144, 1] (w:1, o:112, a:1, s:1, b:0),
% 0.88/1.33 c_Recdef_Owfrec [146, 4] (w:1, o:241, a:1, s:1, b:0),
% 0.88/1.33 c_Order__Relation_Olinear__order__on [148, 3] (w:1, o:202, a:1, s:1
% 0.88/1.33 , b:0),
% 0.88/1.33 c_Order__Relation_Opreorder__on [149, 3] (w:1, o:203, a:1, s:1, b:0)
% 0.88/1.33 ,
% 0.88/1.33 c_Order__Relation_Owell__order__on [151, 3] (w:1, o:204, a:1, s:1, b:
% 0.88/1.33 0),
% 0.88/1.33 c_Order__Relation_Opartial__order__on [152, 3] (w:1, o:205, a:1, s:1
% 0.88/1.33 , b:0),
% 0.88/1.33 c_Wellfounded_OwfP [153, 2] (w:1, o:186, a:1, s:1, b:0),
% 0.88/1.33 c_Relation_OField [154, 2] (w:1, o:187, a:1, s:1, b:0),
% 0.88/1.33 tc_Nat_Onat [155, 0] (w:1, o:82, a:1, s:1, b:0),
% 0.88/1.33 c_Orderings_Oord__class_Oless [156, 3] (w:1, o:206, a:1, s:1, b:0),
% 0.88/1.33 c_Wellfounded_Omlex__prod [157, 3] (w:1, o:207, a:1, s:1, b:0),
% 0.88/1.33 class_Groups_Oordered__ab__group__add [159, 1] (w:1, o:113, a:1, s:1
% 0.88/1.33 , b:0),
% 0.88/1.33 c_Orderings_Obot__class_Obot [160, 1] (w:1, o:114, a:1, s:1, b:0),
% 0.88/1.33 c_Wellfounded_Oless__than [161, 0] (w:1, o:84, a:1, s:1, b:0),
% 0.88/1.33 class_Lattices_Obounded__lattice__bot [162, 1] (w:1, o:115, a:1, s:1
% 0.88/1.33 , b:0),
% 0.88/1.33 class_Groups_Oab__group__add [163, 1] (w:1, o:116, a:1, s:1, b:0),
% 0.88/1.33 c_Set_Othe__elem [164, 2] (w:1, o:179, a:1, s:1, b:0),
% 0.88/1.33 c_Nitpick_Ofold__graph_H [165, 6] (w:1, o:307, a:1, s:1, b:0),
% 0.88/1.33 class_Orderings_Obot [166, 1] (w:1, o:117, a:1, s:1, b:0),
% 0.88/1.33 c_Relation_OImage [167, 4] (w:1, o:242, a:1, s:1, b:0),
% 0.88/1.33 class_Orderings_Opreorder [168, 1] (w:1, o:120, a:1, s:1, b:0),
% 0.88/1.33 class_Orderings_Olinorder [169, 1] (w:1, o:121, a:1, s:1, b:0),
% 0.88/1.33 class_Orderings_Oorder [170, 1] (w:1, o:118, a:1, s:1, b:0),
% 0.88/1.33 class_Orderings_Oord [171, 1] (w:1, o:119, a:1, s:1, b:0),
% 0.88/1.33 c_Wellfounded_Opred__nat [174, 0] (w:1, o:87, a:1, s:1, b:0),
% 0.88/1.33 c_Orderings_Oord__class_Oless__eq [175, 3] (w:1, o:208, a:1, s:1, b:0
% 0.88/1.33 ),
% 0.88/1.33 c_Lattices_Osemilattice__inf__class_Oinf [184, 3] (w:1, o:209, a:1
% 0.88/1.33 , s:1, b:0),
% 0.88/1.33 class_Lattices_Osemilattice__inf [185, 1] (w:1, o:122, a:1, s:1, b:0)
% 0.88/1.33 ,
% 0.88/1.33 class_Lattices_Obounded__lattice [186, 1] (w:1, o:123, a:1, s:1, b:0)
% 0.88/1.33 ,
% 0.88/1.33 v_x [191, 0] (w:1, o:93, a:1, s:1, b:0),
% 0.88/1.33 v_y [192, 0] (w:1, o:94, a:1, s:1, b:0),
% 0.88/1.33 v_L [193, 0] (w:1, o:95, a:1, s:1, b:0),
% 0.88/1.33 v_z [194, 0] (w:1, o:96, a:1, s:1, b:0),
% 0.88/1.33 c_Arrow__Order__Mirabelle_Omkbot [195, 2] (w:1, o:188, a:1, s:1, b:0)
% 0.88/1.33 ,
% 0.88/1.33 alpha1 [196, 3] (w:1, o:210, a:1, s:1, b:1),
% 0.88/1.33 alpha2 [197, 6] (w:1, o:309, a:1, s:1, b:1),
% 0.88/1.33 alpha3 [198, 6] (w:1, o:310, a:1, s:1, b:1),
% 0.88/1.33 alpha4 [199, 6] (w:1, o:311, a:1, s:1, b:1),
% 0.88/1.33 alpha5 [200, 5] (w:1, o:298, a:1, s:1, b:1),
% 0.88/1.33 alpha6 [201, 4] (w:1, o:243, a:1, s:1, b:1),
% 0.88/1.33 alpha7 [202, 4] (w:1, o:244, a:1, s:1, b:1),
% 0.88/1.33 alpha8 [203, 4] (w:1, o:245, a:1, s:1, b:1),
% 0.88/1.33 alpha9 [204, 3] (w:1, o:211, a:1, s:1, b:1),
% 0.88/1.33 alpha10 [205, 3] (w:1, o:212, a:1, s:1, b:1),
% 0.88/1.33 alpha11 [206, 4] (w:1, o:246, a:1, s:1, b:1),
% 0.88/1.33 alpha12 [207, 3] (w:1, o:213, a:1, s:1, b:1),
% 0.88/1.33 alpha13 [208, 3] (w:1, o:214, a:1, s:1, b:1),
% 0.88/1.33 alpha14 [209, 4] (w:1, o:247, a:1, s:1, b:1),
% 0.88/1.33 alpha15 [210, 6] (w:1, o:308, a:1, s:1, b:1),
% 0.88/1.33 alpha16 [211, 4] (w:1, o:248, a:1, s:1, b:1),
% 0.88/1.33 alpha17 [212, 4] (w:1, o:249, a:1, s:1, b:1),
% 0.88/1.33 alpha18 [213, 4] (w:1, o:250, a:1, s:1, b:1),
% 0.88/1.33 alpha19 [214, 0] (w:1, o:97, a:1, s:1, b:1),
% 0.88/1.33 alpha20 [215, 4] (w:1, o:251, a:1, s:1, b:1),
% 0.88/1.33 alpha21 [216, 4] (w:1, o:252, a:1, s:1, b:1),
% 0.88/1.33 alpha22 [217, 3] (w:1, o:215, a:1, s:1, b:1),
% 0.88/1.33 alpha23 [218, 3] (w:1, o:216, a:1, s:1, b:1),
% 0.88/1.33 alpha24 [219, 4] (w:1, o:253, a:1, s:1, b:1),
% 0.88/1.33 alpha25 [220, 4] (w:1, o:254, a:1, s:1, b:1),
% 0.88/1.33 alpha26 [221, 7] (w:1, o:326, a:1, s:1, b:1),
% 0.88/1.33 alpha27 [222, 4] (w:1, o:255, a:1, s:1, b:1),
% 0.88/1.33 alpha28 [223, 4] (w:1, o:256, a:1, s:1, b:1),
% 0.88/1.33 alpha29 [224, 0] (w:1, o:98, a:1, s:1, b:1),
% 0.88/1.33 alpha30 [225, 4] (w:1, o:257, a:1, s:1, b:1),
% 0.88/1.33 alpha31 [226, 4] (w:1, o:258, a:1, s:1, b:1),
% 0.88/1.33 alpha32 [227, 4] (w:1, o:259, a:1, s:1, b:1),
% 0.88/1.33 alpha33 [228, 4] (w:1, o:260, a:1, s:1, b:1),
% 0.88/1.33 alpha34 [229, 7] (w:1, o:327, a:1, s:1, b:1),
% 0.88/1.33 alpha35 [230, 4] (w:1, o:261, a:1, s:1, b:1),
% 0.88/1.33 alpha36 [231, 0] (w:1, o:99, a:1, s:1, b:1),
% 0.88/1.33 alpha37 [232, 4] (w:1, o:262, a:1, s:1, b:1),
% 0.88/1.33 alpha38 [233, 4] (w:1, o:263, a:1, s:1, b:1),
% 0.88/1.33 alpha39 [234, 4] (w:1, o:264, a:1, s:1, b:1),
% 0.88/1.33 alpha40 [235, 6] (w:1, o:312, a:1, s:1, b:1),
% 0.88/1.33 alpha41 [236, 9] (w:1, o:332, a:1, s:1, b:1),
% 0.88/1.33 alpha42 [237, 4] (w:1, o:265, a:1, s:1, b:1),
% 0.88/1.33 alpha43 [238, 5] (w:1, o:297, a:1, s:1, b:1),
% 0.88/1.33 alpha44 [239, 0] (w:1, o:100, a:1, s:1, b:1),
% 0.88/1.33 skol1 [240, 2] (w:1, o:150, a:1, s:1, b:1),
% 0.88/1.33 skol2 [241, 2] (w:1, o:152, a:1, s:1, b:1),
% 0.88/1.33 skol3 [242, 1] (w:1, o:124, a:1, s:1, b:1),
% 0.88/1.33 skol4 [243, 6] (w:1, o:313, a:1, s:1, b:1),
% 0.88/1.33 skol5 [244, 6] (w:1, o:314, a:1, s:1, b:1),
% 0.88/1.33 skol6 [245, 5] (w:1, o:299, a:1, s:1, b:1),
% 0.88/1.33 skol7 [246, 6] (w:1, o:315, a:1, s:1, b:1),
% 0.88/1.33 skol8 [247, 6] (w:1, o:319, a:1, s:1, b:1),
% 0.88/1.33 skol9 [248, 6] (w:1, o:320, a:1, s:1, b:1),
% 0.88/1.33 skol10 [249, 0] (w:1, o:21, a:1, s:1, b:1),
% 0.88/1.33 skol11 [250, 3] (w:1, o:217, a:1, s:1, b:1),
% 0.88/1.33 skol12 [251, 2] (w:1, o:151, a:1, s:1, b:1),
% 7.83/8.25 skol13 [252, 4] (w:1, o:266, a:1, s:1, b:1),
% 7.83/8.25 skol14 [253, 4] (w:1, o:267, a:1, s:1, b:1),
% 7.83/8.25 skol15 [254, 5] (w:1, o:300, a:1, s:1, b:1),
% 7.83/8.25 skol16 [255, 3] (w:1, o:218, a:1, s:1, b:1),
% 7.83/8.25 skol17 [256, 3] (w:1, o:219, a:1, s:1, b:1),
% 7.83/8.25 skol18 [257, 4] (w:1, o:268, a:1, s:1, b:1),
% 7.83/8.25 skol19 [258, 4] (w:1, o:269, a:1, s:1, b:1),
% 7.83/8.25 skol20 [259, 3] (w:1, o:220, a:1, s:1, b:1),
% 7.83/8.25 skol21 [260, 4] (w:1, o:270, a:1, s:1, b:1),
% 7.83/8.25 skol22 [261, 6] (w:1, o:321, a:1, s:1, b:1),
% 7.83/8.25 skol23 [262, 6] (w:1, o:322, a:1, s:1, b:1),
% 7.83/8.25 skol24 [263, 6] (w:1, o:323, a:1, s:1, b:1),
% 7.83/8.25 skol25 [264, 7] (w:1, o:328, a:1, s:1, b:1),
% 7.83/8.25 skol26 [265, 4] (w:1, o:271, a:1, s:1, b:1),
% 7.83/8.25 skol27 [266, 4] (w:1, o:272, a:1, s:1, b:1),
% 7.83/8.25 skol28 [267, 3] (w:1, o:221, a:1, s:1, b:1),
% 7.83/8.25 skol29 [268, 5] (w:1, o:301, a:1, s:1, b:1),
% 7.83/8.25 skol30 [269, 3] (w:1, o:222, a:1, s:1, b:1),
% 7.83/8.25 skol31 [270, 4] (w:1, o:273, a:1, s:1, b:1),
% 7.83/8.25 skol32 [271, 4] (w:1, o:274, a:1, s:1, b:1),
% 7.83/8.25 skol33 [272, 4] (w:1, o:275, a:1, s:1, b:1),
% 7.83/8.25 skol34 [273, 3] (w:1, o:223, a:1, s:1, b:1),
% 7.83/8.25 skol35 [274, 4] (w:1, o:276, a:1, s:1, b:1),
% 7.83/8.25 skol36 [275, 2] (w:1, o:153, a:1, s:1, b:1),
% 7.83/8.25 skol37 [276, 4] (w:1, o:277, a:1, s:1, b:1),
% 7.83/8.25 skol38 [277, 4] (w:1, o:278, a:1, s:1, b:1),
% 7.83/8.25 skol39 [278, 2] (w:1, o:154, a:1, s:1, b:1),
% 7.83/8.25 skol40 [279, 2] (w:1, o:155, a:1, s:1, b:1),
% 7.83/8.25 skol41 [280, 2] (w:1, o:156, a:1, s:1, b:1),
% 7.83/8.25 skol42 [281, 2] (w:1, o:157, a:1, s:1, b:1),
% 7.83/8.25 skol43 [282, 4] (w:1, o:279, a:1, s:1, b:1),
% 7.83/8.25 skol44 [283, 2] (w:1, o:158, a:1, s:1, b:1),
% 7.83/8.25 skol45 [284, 4] (w:1, o:280, a:1, s:1, b:1),
% 7.83/8.25 skol46 [285, 4] (w:1, o:281, a:1, s:1, b:1),
% 7.83/8.25 skol47 [286, 3] (w:1, o:224, a:1, s:1, b:1),
% 7.83/8.25 skol48 [287, 3] (w:1, o:225, a:1, s:1, b:1),
% 7.83/8.25 skol49 [288, 4] (w:1, o:282, a:1, s:1, b:1),
% 7.83/8.25 skol50 [289, 3] (w:1, o:226, a:1, s:1, b:1),
% 7.83/8.25 skol51 [290, 3] (w:1, o:227, a:1, s:1, b:1),
% 7.83/8.25 skol52 [291, 4] (w:1, o:283, a:1, s:1, b:1),
% 7.83/8.25 skol53 [292, 4] (w:1, o:284, a:1, s:1, b:1),
% 7.83/8.25 skol54 [293, 2] (w:1, o:159, a:1, s:1, b:1),
% 7.83/8.25 skol55 [294, 2] (w:1, o:160, a:1, s:1, b:1),
% 7.83/8.25 skol56 [295, 4] (w:1, o:285, a:1, s:1, b:1),
% 7.83/8.25 skol57 [296, 3] (w:1, o:228, a:1, s:1, b:1),
% 7.83/8.25 skol58 [297, 2] (w:1, o:161, a:1, s:1, b:1),
% 7.83/8.25 skol59 [298, 3] (w:1, o:229, a:1, s:1, b:1),
% 7.83/8.25 skol60 [299, 4] (w:1, o:286, a:1, s:1, b:1),
% 7.83/8.25 skol61 [300, 2] (w:1, o:162, a:1, s:1, b:1),
% 7.83/8.25 skol62 [301, 2] (w:1, o:163, a:1, s:1, b:1),
% 7.83/8.25 skol63 [302, 2] (w:1, o:164, a:1, s:1, b:1),
% 7.83/8.25 skol64 [303, 2] (w:1, o:165, a:1, s:1, b:1),
% 7.83/8.25 skol65 [304, 5] (w:1, o:302, a:1, s:1, b:1),
% 7.83/8.25 skol66 [305, 7] (w:1, o:329, a:1, s:1, b:1),
% 7.83/8.25 skol67 [306, 3] (w:1, o:230, a:1, s:1, b:1),
% 7.83/8.25 skol68 [307, 4] (w:1, o:287, a:1, s:1, b:1),
% 7.83/8.25 skol69 [308, 4] (w:1, o:288, a:1, s:1, b:1),
% 7.83/8.25 skol70 [309, 5] (w:1, o:303, a:1, s:1, b:1),
% 7.83/8.25 skol71 [310, 3] (w:1, o:231, a:1, s:1, b:1),
% 7.83/8.25 skol72 [311, 5] (w:1, o:304, a:1, s:1, b:1),
% 7.83/8.25 skol73 [312, 4] (w:1, o:289, a:1, s:1, b:1),
% 7.83/8.25 skol74 [313, 6] (w:1, o:316, a:1, s:1, b:1),
% 7.83/8.25 skol75 [314, 6] (w:1, o:317, a:1, s:1, b:1),
% 7.83/8.25 skol76 [315, 6] (w:1, o:318, a:1, s:1, b:1),
% 7.83/8.25 skol77 [316, 7] (w:1, o:330, a:1, s:1, b:1),
% 7.83/8.25 skol78 [317, 3] (w:1, o:232, a:1, s:1, b:1),
% 7.83/8.25 skol79 [318, 3] (w:1, o:233, a:1, s:1, b:1),
% 7.83/8.25 skol80 [319, 4] (w:1, o:290, a:1, s:1, b:1),
% 7.83/8.25 skol81 [320, 2] (w:1, o:166, a:1, s:1, b:1),
% 7.83/8.25 skol82 [321, 2] (w:1, o:167, a:1, s:1, b:1),
% 7.83/8.25 skol83 [322, 4] (w:1, o:291, a:1, s:1, b:1),
% 7.83/8.25 skol84 [323, 4] (w:1, o:292, a:1, s:1, b:1),
% 7.83/8.25 skol85 [324, 2] (w:1, o:168, a:1, s:1, b:1),
% 7.83/8.25 skol86 [325, 2] (w:1, o:169, a:1, s:1, b:1),
% 7.83/8.25 skol87 [326, 2] (w:1, o:170, a:1, s:1, b:1),
% 7.83/8.25 skol88 [327, 7] (w:1, o:331, a:1, s:1, b:1),
% 7.83/8.25 skol89 [328, 3] (w:1, o:234, a:1, s:1, b:1),
% 7.83/8.25 skol90 [329, 6] (w:1, o:324, a:1, s:1, b:1),
% 32.66/33.04 skol91 [330, 3] (w:1, o:235, a:1, s:1, b:1),
% 32.66/33.04 skol92 [331, 2] (w:1, o:171, a:1, s:1, b:1),
% 32.66/33.04 skol93 [332, 6] (w:1, o:325, a:1, s:1, b:1).
% 32.66/33.04
% 32.66/33.04
% 32.66/33.04 Starting Search:
% 32.66/33.04
% 32.66/33.04 *** allocated 75937 integers for clauses
% 32.66/33.04 *** allocated 113905 integers for clauses
% 32.66/33.04 Resimplifying inuse:
% 32.66/33.04 Done
% 32.66/33.04
% 32.66/33.04 *** allocated 170857 integers for clauses
% 32.66/33.04 *** allocated 113905 integers for termspace/termends
% 32.66/33.04
% 32.66/33.04 Intermediate Status:
% 32.66/33.04 Generated: 3321
% 32.66/33.04 Kept: 2014
% 32.66/33.04 Inuse: 126
% 32.66/33.04 Deleted: 0
% 32.66/33.04 Deletedinuse: 0
% 32.66/33.04
% 32.66/33.04 Resimplifying inuse:
% 32.66/33.04 Done
% 32.66/33.04
% 32.66/33.04 *** allocated 256285 integers for clauses
% 32.66/33.04 Resimplifying inuse:
% 32.66/33.04 Done
% 32.66/33.04
% 32.66/33.04 *** allocated 170857 integers for termspace/termends
% 32.66/33.04
% 32.66/33.04 Intermediate Status:
% 32.66/33.04 Generated: 9083
% 32.66/33.04 Kept: 4014
% 32.66/33.04 Inuse: 227
% 32.66/33.04 Deleted: 2
% 32.66/33.04 Deletedinuse: 1
% 32.66/33.04
% 32.66/33.04 Resimplifying inuse:
% 32.66/33.04 Done
% 32.66/33.04
% 32.66/33.04 *** allocated 384427 integers for clauses
% 32.66/33.04 *** allocated 256285 integers for termspace/termends
% 32.66/33.04 Resimplifying inuse:
% 32.66/33.04 Done
% 32.66/33.04
% 32.66/33.04
% 32.66/33.04 Intermediate Status:
% 32.66/33.04 Generated: 13218
% 32.66/33.04 Kept: 6019
% 32.66/33.04 Inuse: 274
% 32.66/33.04 Deleted: 2
% 32.66/33.04 Deletedinuse: 1
% 32.66/33.04
% 32.66/33.04 Resimplifying inuse:
% 32.66/33.04 Done
% 32.66/33.04
% 32.66/33.04 *** allocated 576640 integers for clauses
% 32.66/33.04 Resimplifying inuse:
% 32.66/33.04 Done
% 32.66/33.04
% 32.66/33.04
% 32.66/33.04 Intermediate Status:
% 32.66/33.04 Generated: 17741
% 32.66/33.04 Kept: 8091
% 32.66/33.04 Inuse: 345
% 32.66/33.04 Deleted: 2
% 32.66/33.04 Deletedinuse: 1
% 32.66/33.04
% 32.66/33.04 Resimplifying inuse:
% 32.66/33.04 Done
% 32.66/33.04
% 32.66/33.04 *** allocated 384427 integers for termspace/termends
% 32.66/33.04 Resimplifying inuse:
% 32.66/33.04 Done
% 32.66/33.04
% 32.66/33.04
% 32.66/33.04 Intermediate Status:
% 32.66/33.04 Generated: 22726
% 32.66/33.04 Kept: 10124
% 32.66/33.04 Inuse: 415
% 32.66/33.04 Deleted: 3
% 32.66/33.04 Deletedinuse: 2
% 32.66/33.04
% 32.66/33.04 Resimplifying inuse:
% 32.66/33.04 Done
% 32.66/33.04
% 32.66/33.04 *** allocated 864960 integers for clauses
% 32.66/33.04 Resimplifying inuse:
% 32.66/33.04 Done
% 32.66/33.04
% 32.66/33.04
% 32.66/33.04 Intermediate Status:
% 32.66/33.04 Generated: 27778
% 32.66/33.04 Kept: 12465
% 32.66/33.04 Inuse: 470
% 32.66/33.04 Deleted: 3
% 32.66/33.04 Deletedinuse: 2
% 32.66/33.04
% 32.66/33.04 Resimplifying inuse:
% 32.66/33.04 Done
% 32.66/33.04
% 32.66/33.04 *** allocated 576640 integers for termspace/termends
% 32.66/33.04 Resimplifying inuse:
% 32.66/33.04 Done
% 32.66/33.04
% 32.66/33.04
% 32.66/33.04 Intermediate Status:
% 32.66/33.04 Generated: 35569
% 32.66/33.04 Kept: 15078
% 32.66/33.04 Inuse: 530
% 32.66/33.04 Deleted: 4
% 32.66/33.04 Deletedinuse: 3
% 32.66/33.04
% 32.66/33.04 Resimplifying inuse:
% 32.66/33.04 Done
% 32.66/33.04
% 32.66/33.04 *** allocated 1297440 integers for clauses
% 32.66/33.04 Resimplifying inuse:
% 32.66/33.04 Done
% 32.66/33.04
% 32.66/33.04
% 32.66/33.04 Intermediate Status:
% 32.66/33.04 Generated: 41228
% 32.66/33.04 Kept: 17088
% 32.66/33.04 Inuse: 587
% 32.66/33.04 Deleted: 6
% 32.66/33.04 Deletedinuse: 3
% 32.66/33.04
% 32.66/33.04 Resimplifying inuse:
% 32.66/33.04 Done
% 32.66/33.04
% 32.66/33.04 *** allocated 864960 integers for termspace/termends
% 32.66/33.04 Resimplifying inuse:
% 32.66/33.04 Done
% 32.66/33.04
% 32.66/33.04
% 32.66/33.04 Intermediate Status:
% 32.66/33.04 Generated: 46256
% 32.66/33.04 Kept: 19103
% 32.66/33.04 Inuse: 619
% 32.66/33.04 Deleted: 6
% 32.66/33.04 Deletedinuse: 3
% 32.66/33.04
% 32.66/33.04 Resimplifying inuse:
% 32.66/33.04 Done
% 32.66/33.04
% 32.66/33.04 Resimplifying clauses:
% 32.66/33.04 Done
% 32.66/33.04
% 32.66/33.04 Resimplifying inuse:
% 32.66/33.04 Done
% 32.66/33.04
% 32.66/33.04
% 32.66/33.04 Intermediate Status:
% 32.66/33.04 Generated: 51107
% 32.66/33.04 Kept: 21114
% 32.66/33.04 Inuse: 644
% 32.66/33.04 Deleted: 238
% 32.66/33.04 Deletedinuse: 3
% 32.66/33.04
% 32.66/33.04 Resimplifying inuse:
% 32.66/33.04 Done
% 32.66/33.04
% 32.66/33.04 *** allocated 1297440 integers for termspace/termends
% 32.66/33.04 Resimplifying inuse:
% 32.66/33.04 Done
% 32.66/33.04
% 32.66/33.04 *** allocated 1946160 integers for clauses
% 32.66/33.04
% 32.66/33.04 Intermediate Status:
% 32.66/33.04 Generated: 59304
% 32.66/33.04 Kept: 24193
% 32.66/33.04 Inuse: 663
% 32.66/33.04 Deleted: 238
% 32.66/33.04 Deletedinuse: 3
% 32.66/33.04
% 32.66/33.04 Resimplifying inuse:
% 32.66/33.04 Done
% 32.66/33.04
% 32.66/33.04 Resimplifying inuse:
% 32.66/33.04 Done
% 32.66/33.04
% 32.66/33.04
% 32.66/33.04 Intermediate Status:
% 32.66/33.04 Generated: 67621
% 32.66/33.04 Kept: 26930
% 32.66/33.04 Inuse: 673
% 32.66/33.04 Deleted: 238
% 32.66/33.04 Deletedinuse: 3
% 32.66/33.04
% 32.66/33.04 Resimplifying inuse:
% 32.66/33.04 Done
% 32.66/33.04
% 32.66/33.04 Resimplifying inuse:
% 32.66/33.04 Done
% 32.66/33.04
% 32.66/33.04
% 32.66/33.04 Intermediate Status:
% 32.66/33.04 Generated: 77182
% 32.66/33.04 Kept: 30138
% 32.66/33.04 Inuse: 698
% 32.66/33.04 Deleted: 238
% 32.66/33.04 Deletedinuse: 3
% 32.66/33.04
% 32.66/33.04 Resimplifying inuse:
% 32.66/33.04 Done
% 32.66/33.04
% 32.66/33.04 *** allocated 1946160 integers for termspace/termends
% 32.66/33.04 Resimplifying inuse:
% 32.66/33.04 Done
% 32.66/33.04
% 32.66/33.04
% 32.66/33.04 Intermediate Status:
% 32.66/33.04 Generated: 84673
% 32.66/33.04 Kept: 32163
% 32.66/33.04 Inuse: 733
% 32.66/33.04 Deleted: 238
% 32.66/33.04 Deletedinuse: 3
% 32.66/33.04
% 32.66/33.04 Resimplifying inuse:
% 32.66/33.04 Done
% 32.66/33.04
% 32.66/33.04 Resimplifying inuse:
% 32.66/33.04 Done
% 32.66/33.04
% 32.66/33.04
% 32.66/33.04 Intermediate Status:
% 32.66/33.04 Generated: 89111
% 32.66/33.04 Kept: 34257
% 32.66/33.04 Inuse: 773
% 32.66/33.04 Deleted: 238
% 32.66/33.04 Deletedinuse: 3
% 32.66/33.04
% 32.66/33.04 Resimplifying inuse:
% 32.66/33.04 Done
% 32.66/33.04
% 32.66/33.04 Resimplifying inuse:
% 32.66/33.04 Done
% 32.66/33.04
% 32.66/33.04
% 32.66/33.04 Intermediate Status:
% 32.66/33.04 Generated: 94837
% 32.66/33.04 Kept: 36265
% 32.66/33.04 Inuse: 805
% 32.66/33.04 Deleted: 239
% 32.66/33.04 Deletedinuse: 4
% 32.66/33.04
% 32.66/33.04 *** allocated 2919240 integers for clauses
% 32.66/33.04 Resimplifying inuse:
% 32.66/33.04 Done
% 32.66/33.04
% 32.66/33.04
% 32.66/33.04 Intermediate Status:
% 32.66/33.04 Generated: 100445
% 32.66/33.04 Kept: 38453
% 32.66/33.04 Inuse: 838
% 32.66/33.04 Deleted: 239
% 32.66/33.04 Deletedinuse: 4
% 32.66/33.04
% 32.66/33.04 Resimplifying inuse:
% 32.66/33.04 Done
% 32.66/33.04
% 32.66/33.04 Resimplifying clauses:
% 32.66/33.04 Done
% 32.66/33.04
% 32.66/33.04 Resimplifying inuse:
% 32.66/33.04 Done
% 32.66/33.04
% 32.66/33.04
% 32.66/33.04 Intermediate Status:
% 32.66/33.04 Generated: 105052
% 32.66/33.04 Kept: 40631
% 32.66/33.04 Inuse: 868
% 32.66/33.04 Deleted: 308
% 32.66/33.04 Deletedinuse: 5
% 32.66/33.04
% 32.66/33.04 Resimplifying inuse:
% 32.66/33.04 Done
% 32.66/33.04
% 32.66/33.04 Resimplifying inuse:
% 92.42/92.83 Done
% 92.42/92.83
% 92.42/92.83
% 92.42/92.83 Intermediate Status:
% 92.42/92.83 Generated: 110639
% 92.42/92.83 Kept: 42633
% 92.42/92.83 Inuse: 907
% 92.42/92.83 Deleted: 308
% 92.42/92.83 Deletedinuse: 5
% 92.42/92.83
% 92.42/92.83 Resimplifying inuse:
% 92.42/92.83 Done
% 92.42/92.83
% 92.42/92.83
% 92.42/92.83 Intermediate Status:
% 92.42/92.83 Generated: 122721
% 92.42/92.83 Kept: 45803
% 92.42/92.83 Inuse: 933
% 92.42/92.83 Deleted: 308
% 92.42/92.83 Deletedinuse: 5
% 92.42/92.83
% 92.42/92.83 Resimplifying inuse:
% 92.42/92.83 Done
% 92.42/92.83
% 92.42/92.83 Resimplifying inuse:
% 92.42/92.83 Done
% 92.42/92.83
% 92.42/92.83
% 92.42/92.83 Intermediate Status:
% 92.42/92.83 Generated: 128722
% 92.42/92.83 Kept: 47806
% 92.42/92.83 Inuse: 959
% 92.42/92.83 Deleted: 308
% 92.42/92.83 Deletedinuse: 5
% 92.42/92.83
% 92.42/92.83 Resimplifying inuse:
% 92.42/92.83 Done
% 92.42/92.83
% 92.42/92.83 *** allocated 2919240 integers for termspace/termends
% 92.42/92.83
% 92.42/92.83 Intermediate Status:
% 92.42/92.83 Generated: 133834
% 92.42/92.83 Kept: 51287
% 92.42/92.83 Inuse: 966
% 92.42/92.83 Deleted: 311
% 92.42/92.83 Deletedinuse: 8
% 92.42/92.83
% 92.42/92.83 Resimplifying inuse:
% 92.42/92.83 Done
% 92.42/92.83
% 92.42/92.83 Resimplifying inuse:
% 92.42/92.83 Done
% 92.42/92.83
% 92.42/92.83
% 92.42/92.83 Intermediate Status:
% 92.42/92.83 Generated: 142728
% 92.42/92.83 Kept: 54508
% 92.42/92.83 Inuse: 1023
% 92.42/92.83 Deleted: 348
% 92.42/92.83 Deletedinuse: 45
% 92.42/92.83
% 92.42/92.83 Resimplifying inuse:
% 92.42/92.83 Done
% 92.42/92.83
% 92.42/92.83
% 92.42/92.83 Intermediate Status:
% 92.42/92.83 Generated: 147148
% 92.42/92.83 Kept: 57781
% 92.42/92.83 Inuse: 1027
% 92.42/92.83 Deleted: 349
% 92.42/92.83 Deletedinuse: 46
% 92.42/92.83
% 92.42/92.83 Resimplifying inuse:
% 92.42/92.83 Done
% 92.42/92.83
% 92.42/92.83 *** allocated 4378860 integers for clauses
% 92.42/92.83 Resimplifying inuse:
% 92.42/92.83 Done
% 92.42/92.83
% 92.42/92.83
% 92.42/92.83 Intermediate Status:
% 92.42/92.83 Generated: 153122
% 92.42/92.83 Kept: 59786
% 92.42/92.83 Inuse: 1048
% 92.42/92.83 Deleted: 350
% 92.42/92.83 Deletedinuse: 47
% 92.42/92.83
% 92.42/92.83 Resimplifying inuse:
% 92.42/92.83 Done
% 92.42/92.83
% 92.42/92.83 Resimplifying clauses:
% 92.42/92.83 Done
% 92.42/92.83
% 92.42/92.83
% 92.42/92.83 Intermediate Status:
% 92.42/92.83 Generated: 158874
% 92.42/92.83 Kept: 61788
% 92.42/92.83 Inuse: 1063
% 92.42/92.83 Deleted: 1288
% 92.42/92.83 Deletedinuse: 50
% 92.42/92.83
% 92.42/92.83 Resimplifying inuse:
% 92.42/92.83 Done
% 92.42/92.83
% 92.42/92.83
% 92.42/92.83 Intermediate Status:
% 92.42/92.83 Generated: 165662
% 92.42/92.83 Kept: 64119
% 92.42/92.83 Inuse: 1078
% 92.42/92.83 Deleted: 1288
% 92.42/92.83 Deletedinuse: 50
% 92.42/92.83
% 92.42/92.83 Resimplifying inuse:
% 92.42/92.83 Done
% 92.42/92.83
% 92.42/92.83 Resimplifying inuse:
% 92.42/92.83 Done
% 92.42/92.83
% 92.42/92.83
% 92.42/92.83 Intermediate Status:
% 92.42/92.83 Generated: 169686
% 92.42/92.83 Kept: 66225
% 92.42/92.83 Inuse: 1113
% 92.42/92.83 Deleted: 1288
% 92.42/92.83 Deletedinuse: 50
% 92.42/92.83
% 92.42/92.83 Resimplifying inuse:
% 92.42/92.83 Done
% 92.42/92.83
% 92.42/92.83 Resimplifying inuse:
% 92.42/92.83 Done
% 92.42/92.83
% 92.42/92.83
% 92.42/92.83 Intermediate Status:
% 92.42/92.83 Generated: 175257
% 92.42/92.83 Kept: 68398
% 92.42/92.83 Inuse: 1158
% 92.42/92.83 Deleted: 1291
% 92.42/92.83 Deletedinuse: 53
% 92.42/92.83
% 92.42/92.83 Resimplifying inuse:
% 92.42/92.83 Done
% 92.42/92.83
% 92.42/92.83 Resimplifying inuse:
% 92.42/92.83 Done
% 92.42/92.83
% 92.42/92.83
% 92.42/92.83 Intermediate Status:
% 92.42/92.83 Generated: 184383
% 92.42/92.83 Kept: 73614
% 92.42/92.83 Inuse: 1182
% 92.42/92.83 Deleted: 1291
% 92.42/92.83 Deletedinuse: 53
% 92.42/92.83
% 92.42/92.83 Resimplifying inuse:
% 92.42/92.83 Done
% 92.42/92.83
% 92.42/92.83 Resimplifying inuse:
% 92.42/92.84 Done
% 92.42/92.84
% 92.42/92.84 *** allocated 4378860 integers for termspace/termends
% 92.42/92.84
% 92.42/92.84 Intermediate Status:
% 92.42/92.84 Generated: 188361
% 92.42/92.84 Kept: 75807
% 92.42/92.84 Inuse: 1213
% 92.42/92.84 Deleted: 1291
% 92.42/92.84 Deletedinuse: 53
% 92.42/92.84
% 92.42/92.84 Resimplifying inuse:
% 92.42/92.84 Done
% 92.42/92.84
% 92.42/92.84
% 92.42/92.84 Intermediate Status:
% 92.42/92.84 Generated: 194226
% 92.42/92.84 Kept: 77876
% 92.42/92.84 Inuse: 1223
% 92.42/92.84 Deleted: 1292
% 92.42/92.84 Deletedinuse: 54
% 92.42/92.84
% 92.42/92.84 Resimplifying inuse:
% 92.42/92.84 Done
% 92.42/92.84
% 92.42/92.84
% 92.42/92.84 Intermediate Status:
% 92.42/92.84 Generated: 203201
% 92.42/92.84 Kept: 83512
% 92.42/92.84 Inuse: 1252
% 92.42/92.84 Deleted: 1295
% 92.42/92.84 Deletedinuse: 57
% 92.42/92.84
% 92.42/92.84 Resimplifying inuse:
% 92.42/92.84 Done
% 92.42/92.84
% 92.42/92.84 Resimplifying clauses:
% 92.42/92.84 Done
% 92.42/92.84
% 92.42/92.84 Resimplifying inuse:
% 92.42/92.84 Done
% 92.42/92.84
% 92.42/92.84
% 92.42/92.84 Intermediate Status:
% 92.42/92.84 Generated: 207993
% 92.42/92.84 Kept: 85640
% 92.42/92.84 Inuse: 1308
% 92.42/92.84 Deleted: 1420
% 92.42/92.84 Deletedinuse: 60
% 92.42/92.84
% 92.42/92.84 Resimplifying inuse:
% 92.42/92.84 Done
% 92.42/92.84
% 92.42/92.84 Resimplifying inuse:
% 92.42/92.84 Done
% 92.42/92.84
% 92.42/92.84
% 92.42/92.84 Intermediate Status:
% 92.42/92.84 Generated: 211787
% 92.42/92.84 Kept: 87727
% 92.42/92.84 Inuse: 1371
% 92.42/92.84 Deleted: 1422
% 92.42/92.84 Deletedinuse: 60
% 92.42/92.84
% 92.42/92.84 Resimplifying inuse:
% 92.42/92.84 Done
% 92.42/92.84
% 92.42/92.84 Resimplifying inuse:
% 92.42/92.84 Done
% 92.42/92.84
% 92.42/92.84
% 92.42/92.84 Intermediate Status:
% 92.42/92.84 Generated: 215905
% 92.42/92.84 Kept: 89779
% 92.42/92.84 Inuse: 1425
% 92.42/92.84 Deleted: 1431
% 92.42/92.84 Deletedinuse: 68
% 92.42/92.84
% 92.42/92.84 Resimplifying inuse:
% 92.42/92.84 Done
% 92.42/92.84
% 92.42/92.84 *** allocated 6568290 integers for clauses
% 92.42/92.84
% 92.42/92.84 Intermediate Status:
% 92.42/92.84 Generated: 221724
% 92.42/92.84 Kept: 91974
% 92.42/92.84 Inuse: 1435
% 92.42/92.84 Deleted: 1434
% 92.42/92.84 Deletedinuse: 71
% 92.42/92.84
% 92.42/92.84 Resimplifying inuse:
% 92.42/92.84 Done
% 92.42/92.84
% 92.42/92.84 Resimplifying inuse:
% 92.42/92.84 Done
% 92.42/92.84
% 92.42/92.84
% 92.42/92.84 Intermediate Status:
% 92.42/92.84 Generated: 226606
% 92.42/92.84 Kept: 93986
% 92.42/92.84 Inuse: 1475
% 92.42/92.84 Deleted: 1435
% 92.42/92.84 Deletedinuse: 72
% 92.42/92.84
% 92.42/92.84 Resimplifying inuse:
% 92.42/92.84 Done
% 92.42/92.84
% 92.42/92.84
% 92.42/92.84 Intermediate Status:
% 92.42/92.84 Generated: 238440
% 92.42/92.84 Kept: 96187
% 92.42/92.84 Inuse: 1500
% 92.42/92.84 Deleted: 1435
% 92.42/92.84 Deletedinuse: 72
% 92.42/92.84
% 92.42/92.84 Resimplifying inuse:
% 92.42/92.84 Done
% 92.42/92.84
% 92.42/92.84 Resimplifying inuse:
% 92.42/92.84 Done
% 92.42/92.84
% 92.42/92.84
% 92.42/92.84 Intermediate Status:
% 92.42/92.84 Generated: 243845
% 92.42/92.84 Kept: 98366
% 92.42/92.84 Inuse: 1530
% 92.42/92.84 Deleted: 1438
% 92.42/92.84 Deletedinuse: 75
% 92.42/92.84
% 92.42/92.84 Resimplifying inuse:
% 92.42/92.84 Done
% 92.42/92.84
% 92.42/92.84 Resimplifying inuse:
% 92.42/92.84 Done
% 92.42/92.84
% 92.42/92.84
% 92.42/92.84 Intermediate Status:
% 92.42/92.84 Generated: 250356
% 92.42/92.84 Kept: 100847
% 92.42/92.84 Inuse: 1560
% 92.42/92.84 Deleted: 1438
% 92.42/92.84 Deletedinuse: 75
% 92.42/92.84
% 92.42/92.84 Resimplifying inuse:
% 92.42/92.84 Done
% 92.42/92.84
% 92.42/92.84 Resimplifying inuse:
% 92.42/92.84 Done
% 92.42/92.84
% 92.42/92.84
% 92.42/92.84 Intermediate Status:
% 92.42/92.84 Generated: 257459
% 92.42/92.84 Kept: 103365
% 92.42/92.84 Inuse: 1580
% 92.42/92.84 Deleted: 1438
% 92.42/92.84 Deletedinuse: 75
% 178.18/178.68
% 178.18/178.68 Resimplifying inuse:
% 178.18/178.68 Done
% 178.18/178.68
% 178.18/178.68 Resimplifying clauses:
% 178.18/178.68 Done
% 178.18/178.68
% 178.18/178.68 Resimplifying inuse:
% 178.18/178.68 Done
% 178.18/178.68
% 178.18/178.68
% 178.18/178.68 Intermediate Status:
% 178.18/178.68 Generated: 262690
% 178.18/178.68 Kept: 105458
% 178.18/178.68 Inuse: 1605
% 178.18/178.68 Deleted: 1751
% 178.18/178.68 Deletedinuse: 75
% 178.18/178.68
% 178.18/178.68 Resimplifying inuse:
% 178.18/178.68 Done
% 178.18/178.68
% 178.18/178.68 Resimplifying inuse:
% 178.18/178.68 Done
% 178.18/178.68
% 178.18/178.68
% 178.18/178.68 Intermediate Status:
% 178.18/178.68 Generated: 269748
% 178.18/178.68 Kept: 107473
% 178.18/178.68 Inuse: 1645
% 178.18/178.68 Deleted: 1751
% 178.18/178.68 Deletedinuse: 75
% 178.18/178.68
% 178.18/178.68 Resimplifying inuse:
% 178.18/178.68 Done
% 178.18/178.68
% 178.18/178.68 Resimplifying inuse:
% 178.18/178.68 Done
% 178.18/178.68
% 178.18/178.68
% 178.18/178.68 Intermediate Status:
% 178.18/178.68 Generated: 274920
% 178.18/178.68 Kept: 109707
% 178.18/178.68 Inuse: 1690
% 178.18/178.68 Deleted: 1759
% 178.18/178.68 Deletedinuse: 83
% 178.18/178.68
% 178.18/178.68 Resimplifying inuse:
% 178.18/178.68 Done
% 178.18/178.68
% 178.18/178.68 Resimplifying inuse:
% 178.18/178.68 Done
% 178.18/178.68
% 178.18/178.68
% 178.18/178.68 Intermediate Status:
% 178.18/178.68 Generated: 281086
% 178.18/178.68 Kept: 111771
% 178.18/178.68 Inuse: 1737
% 178.18/178.68 Deleted: 1770
% 178.18/178.68 Deletedinuse: 86
% 178.18/178.68
% 178.18/178.68 Resimplifying inuse:
% 178.18/178.68 Done
% 178.18/178.68
% 178.18/178.68 Resimplifying inuse:
% 178.18/178.68 Done
% 178.18/178.68
% 178.18/178.68
% 178.18/178.68 Intermediate Status:
% 178.18/178.68 Generated: 285608
% 178.18/178.68 Kept: 113837
% 178.18/178.68 Inuse: 1764
% 178.18/178.68 Deleted: 1780
% 178.18/178.68 Deletedinuse: 87
% 178.18/178.68
% 178.18/178.68 Resimplifying inuse:
% 178.18/178.68 Done
% 178.18/178.68
% 178.18/178.68 Resimplifying inuse:
% 178.18/178.68 Done
% 178.18/178.68
% 178.18/178.68
% 178.18/178.68 Intermediate Status:
% 178.18/178.68 Generated: 289573
% 178.18/178.68 Kept: 115906
% 178.18/178.68 Inuse: 1822
% 178.18/178.68 Deleted: 1785
% 178.18/178.68 Deletedinuse: 91
% 178.18/178.68
% 178.18/178.68 Resimplifying inuse:
% 178.18/178.68 Done
% 178.18/178.68
% 178.18/178.68 Resimplifying inuse:
% 178.18/178.68 Done
% 178.18/178.68
% 178.18/178.68
% 178.18/178.68 Intermediate Status:
% 178.18/178.68 Generated: 296188
% 178.18/178.68 Kept: 117972
% 178.18/178.68 Inuse: 1862
% 178.18/178.68 Deleted: 1786
% 178.18/178.68 Deletedinuse: 92
% 178.18/178.68
% 178.18/178.68 *** allocated 6568290 integers for termspace/termends
% 178.18/178.68 Resimplifying inuse:
% 178.18/178.68 Done
% 178.18/178.68
% 178.18/178.68 Resimplifying inuse:
% 178.18/178.68 Done
% 178.18/178.68
% 178.18/178.68
% 178.18/178.68 Intermediate Status:
% 178.18/178.68 Generated: 301608
% 178.18/178.68 Kept: 119989
% 178.18/178.68 Inuse: 1878
% 178.18/178.68 Deleted: 1787
% 178.18/178.68 Deletedinuse: 93
% 178.18/178.68
% 178.18/178.68 Resimplifying inuse:
% 178.18/178.68 Done
% 178.18/178.68
% 178.18/178.68 Resimplifying inuse:
% 178.18/178.68 Done
% 178.18/178.68
% 178.18/178.68
% 178.18/178.68 Intermediate Status:
% 178.18/178.68 Generated: 307588
% 178.18/178.68 Kept: 122215
% 178.18/178.68 Inuse: 1912
% 178.18/178.68 Deleted: 1790
% 178.18/178.68 Deletedinuse: 96
% 178.18/178.68
% 178.18/178.68 Resimplifying inuse:
% 178.18/178.68 Done
% 178.18/178.68
% 178.18/178.68 Resimplifying inuse:
% 178.18/178.68 Done
% 178.18/178.68
% 178.18/178.68 Resimplifying clauses:
% 178.18/178.68 Done
% 178.18/178.68
% 178.18/178.68
% 178.18/178.68 Intermediate Status:
% 178.18/178.68 Generated: 312551
% 178.18/178.68 Kept: 124230
% 178.18/178.68 Inuse: 1946
% 178.18/178.68 Deleted: 2529
% 178.18/178.68 Deletedinuse: 97
% 178.18/178.68
% 178.18/178.68 Resimplifying inuse:
% 178.18/178.68 Done
% 178.18/178.68
% 178.18/178.68
% 178.18/178.68 Intermediate Status:
% 178.18/178.68 Generated: 317555
% 178.18/178.68 Kept: 126263
% 178.18/178.68 Inuse: 1956
% 178.18/178.68 Deleted: 2535
% 178.18/178.68 Deletedinuse: 103
% 178.18/178.68
% 178.18/178.68 Resimplifying inuse:
% 178.18/178.68 Done
% 178.18/178.68
% 178.18/178.68
% 178.18/178.68 Intermediate Status:
% 178.18/178.68 Generated: 322597
% 178.18/178.68 Kept: 128266
% 178.18/178.68 Inuse: 1966
% 178.18/178.68 Deleted: 2537
% 178.18/178.68 Deletedinuse: 105
% 178.18/178.68
% 178.18/178.68 Resimplifying inuse:
% 178.18/178.68 Done
% 178.18/178.68
% 178.18/178.68
% 178.18/178.68 Intermediate Status:
% 178.18/178.68 Generated: 328611
% 178.18/178.68 Kept: 130423
% 178.18/178.68 Inuse: 1977
% 178.18/178.68 Deleted: 2538
% 178.18/178.68 Deletedinuse: 106
% 178.18/178.68
% 178.18/178.68 Resimplifying inuse:
% 178.18/178.68 Done
% 178.18/178.68
% 178.18/178.68
% 178.18/178.68 Intermediate Status:
% 178.18/178.68 Generated: 334673
% 178.18/178.68 Kept: 132436
% 178.18/178.68 Inuse: 1987
% 178.18/178.68 Deleted: 2538
% 178.18/178.68 Deletedinuse: 106
% 178.18/178.68
% 178.18/178.68 Resimplifying inuse:
% 178.18/178.68 Done
% 178.18/178.68
% 178.18/178.68 Resimplifying inuse:
% 178.18/178.68 Done
% 178.18/178.68
% 178.18/178.68 *** allocated 9852435 integers for clauses
% 178.18/178.68
% 178.18/178.68 Intermediate Status:
% 178.18/178.68 Generated: 343594
% 178.18/178.68 Kept: 135227
% 178.18/178.68 Inuse: 2022
% 178.18/178.68 Deleted: 2538
% 178.18/178.68 Deletedinuse: 106
% 178.18/178.68
% 178.18/178.68 Resimplifying inuse:
% 178.18/178.68 Done
% 178.18/178.68
% 178.18/178.68 Resimplifying inuse:
% 178.18/178.68 Done
% 178.18/178.68
% 178.18/178.68
% 178.18/178.68 Intermediate Status:
% 178.18/178.68 Generated: 350663
% 178.18/178.68 Kept: 137228
% 178.18/178.68 Inuse: 2042
% 178.18/178.68 Deleted: 2538
% 178.18/178.68 Deletedinuse: 106
% 178.18/178.68
% 178.18/178.68 Resimplifying inuse:
% 178.18/178.68 Done
% 178.18/178.68
% 178.18/178.68
% 178.18/178.68 Intermediate Status:
% 178.18/178.68 Generated: 362035
% 178.18/178.68 Kept: 139456
% 178.18/178.68 Inuse: 2057
% 178.18/178.68 Deleted: 2539
% 178.18/178.68 Deletedinuse: 107
% 178.18/178.68
% 178.18/178.68 Resimplifying inuse:
% 178.18/178.68 Done
% 178.18/178.68
% 178.18/178.68 Resimplifying inuse:
% 178.18/178.68 Done
% 178.18/178.68
% 178.18/178.68
% 178.18/178.68 Intermediate Status:
% 178.18/178.68 Generated: 367918
% 178.18/178.68 Kept: 141482
% 178.18/178.68 Inuse: 2098
% 178.18/178.68 Deleted: 2541
% 178.18/178.68 Deletedinuse: 109
% 178.18/178.68
% 178.18/178.68 Resimplifying inuse:
% 178.18/178.68 Done
% 178.18/178.68
% 178.18/178.68
% 178.18/178.68 Intermediate Status:
% 178.18/178.68 Generated: 375818
% 178.18/178.68 Kept: 144539
% 178.18/178.68 Inuse: 2107
% 178.18/178.68 Deleted: 2541
% 178.18/178.68 Deletedinuse: 109
% 178.18/178.68
% 178.18/178.68 Resimplifying inuse:
% 178.18/178.68 Done
% 178.18/178.68
% 178.18/178.68 Resimplifying clauses:
% 178.18/178.68 Done
% 178.18/178.68
% 178.18/178.68 Resimplifying inuse:
% 178.18/178.68 Done
% 178.18/178.68
% 178.18/178.68
% 178.18/178.68 Intermediate Status:
% 178.18/178.68 Generated: 381599
% 178.18/178.68 Kept: 146591
% 178.18/178.68 Inuse: 2137
% 178.18/178.68 Deleted: 3222
% 178.18/178.68 Deletedinuse: 112
% 178.18/178.68
% 178.18/178.68 Resimplifying inuse:
% 178.18/178.68 Done
% 178.18/178.68
% 178.18/178.68
% 178.18/178.68 Intermediate Status:
% 178.18/178.68 Generated: 397681
% 178.18/178.68 Kept: 150229
% 178.18/178.68 Inuse: 2146
% 178.18/178.68 Deleted: 3223
% 178.18/178.68 Deletedinuse: 113
% 178.18/178.68
% 178.18/178.68 Resimplifying inuse:
% 178.18/178.68 Done
% 178.18/178.68
% 178.18/178.68 Resimplifying inuse:
% 178.18/178.68 Done
% 178.18/178.68
% 178.18/178.68
% 178.18/178.68 Intermediate Status:
% 178.18/178.68 Generated: 404730
% 178.18/178.68 Kept: 152315
% 178.18/178.68 Inuse: 2166
% 178.18/178.68 Deleted: 3224
% 178.18/178.68 Deletedinuse: 114
% 178.18/178.68
% 178.18/178.68 Resimplifying inuse:
% 178.18/178.68 Done
% 178.18/178.68
% 178.18/178.68 Resimplifying inuse:
% 178.18/178.68 Done
% 178.18/178.68
% 178.18/178.68
% 178.18/178.68 Intermediate Status:
% 178.18/178.68 Generated: 418230
% 178.18/178.68 Kept: 154317
% 178.18/178.68 Inuse: 2172
% 178.18/178.68 Deleted: 3225
% 178.18/178.68 Deletedinuse: 115
% 178.18/178.68
% 178.18/178.68 Resimplifying inuse:
% 178.18/178.68 Done
% 178.18/178.68
% 178.18/178.68
% 178.18/178.68 Intermediate Status:
% 178.18/178.68 Generated: 426897
% 178.18/178.68 Kept: Cputime limit exceeded (core dumped)
%------------------------------------------------------------------------------