TSTP Solution File: SCT105+1 by Bliksem---1.12
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : Bliksem---1.12
% Problem : SCT105+1 : TPTP v8.1.0. Released v5.2.0.
% Transfm : none
% Format : tptp:raw
% Command : bliksem %s
% Computer : n029.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 21:01:17 EDT 2022
% Result : Timeout 300.10s 300.53s
% Output : None
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----No solution output by system
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : SCT105+1 : TPTP v8.1.0. Released v5.2.0.
% 0.07/0.13 % Command : bliksem %s
% 0.13/0.34 % Computer : n029.cluster.edu
% 0.13/0.34 % Model : x86_64 x86_64
% 0.13/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.34 % Memory : 8042.1875MB
% 0.13/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.34 % CPULimit : 300
% 0.13/0.34 % DateTime : Sat Jul 2 02:25:54 EDT 2022
% 0.13/0.34 % CPUTime :
% 0.84/1.27 *** allocated 10000 integers for termspace/termends
% 0.84/1.27 *** allocated 10000 integers for clauses
% 0.84/1.27 *** allocated 10000 integers for justifications
% 0.84/1.27 *** allocated 15000 integers for termspace/termends
% 0.84/1.27 Bliksem 1.12
% 0.84/1.27
% 0.84/1.27
% 0.84/1.27 Automatic Strategy Selection
% 0.84/1.27
% 0.84/1.27 *** allocated 22500 integers for termspace/termends
% 0.84/1.27 *** allocated 33750 integers for termspace/termends
% 0.84/1.27 *** allocated 50625 integers for termspace/termends
% 0.84/1.27 *** allocated 75937 integers for termspace/termends
% 0.84/1.27
% 0.84/1.27 Clauses:
% 0.84/1.27
% 0.84/1.27 { ! hAPP( Y, skol1( X, Y ) ) = hAPP( X, skol1( X, Y ) ), Y = X }.
% 0.84/1.27 { ! c_Relation_Otrans( Y, X ), ! c_member( tc_prod( Y, Y ),
% 0.84/1.27 c_Product__Type_OPair( Y, Y, Z, T ), X ), alpha1( X, Y, Z, T ) }.
% 0.84/1.27 { c_member( tc_prod( Y, Y ), c_Product__Type_OPair( Y, Y, skol2( X, Y ),
% 0.84/1.27 skol72( X, Y ) ), X ), c_Relation_Otrans( Y, X ) }.
% 0.84/1.27 { ! alpha1( X, Y, skol2( X, Y ), skol72( X, Y ) ), c_Relation_Otrans( Y, X
% 0.84/1.27 ) }.
% 0.84/1.27 { ! alpha1( X, Y, Z, T ), ! c_member( tc_prod( Y, Y ),
% 0.84/1.27 c_Product__Type_OPair( Y, Y, T, U ), X ), c_member( tc_prod( Y, Y ),
% 0.84/1.27 c_Product__Type_OPair( Y, Y, Z, U ), X ) }.
% 0.84/1.27 { c_member( tc_prod( Y, Y ), c_Product__Type_OPair( Y, Y, T, skol3( X, Y, U
% 0.84/1.27 , T ) ), X ), alpha1( X, Y, Z, T ) }.
% 0.84/1.27 { ! c_member( tc_prod( Y, Y ), c_Product__Type_OPair( Y, Y, Z, skol3( X, Y
% 0.84/1.27 , Z, T ) ), X ), alpha1( X, Y, Z, T ) }.
% 0.84/1.27 { ! c_Relation_Otrans( Y, X ), ! c_member( tc_prod( Y, Y ),
% 0.84/1.27 c_Product__Type_OPair( Y, Y, T, Z ), X ), ! c_member( tc_prod( Y, Y ),
% 0.84/1.27 c_Product__Type_OPair( Y, Y, Z, U ), X ), c_member( tc_prod( Y, Y ),
% 0.84/1.27 c_Product__Type_OPair( Y, Y, T, U ), X ) }.
% 0.84/1.27 { ! Y = X, alpha40( X, Y, Z, T ), ! c_member( T, Z, Y ) }.
% 0.84/1.27 { ! Y = X, alpha40( X, Y, Z, T ), ! c_member( T, Z, X ) }.
% 0.84/1.27 { ! alpha40( X, Y, Z, T ), c_member( T, Z, Y ) }.
% 0.84/1.27 { ! alpha40( X, Y, Z, T ), c_member( T, Z, X ) }.
% 0.84/1.27 { ! c_member( T, Z, Y ), ! c_member( T, Z, X ), alpha40( X, Y, Z, T ) }.
% 0.84/1.27 { ! hBOOL( hAPP( hAPP( c_FunDef_Oin__rel( U, T, Z ), Y ), X ) ), c_member(
% 0.84/1.27 tc_prod( U, T ), c_Product__Type_OPair( U, T, Y, X ), Z ) }.
% 0.84/1.27 { ! c_member( tc_prod( U, T ), c_Product__Type_OPair( U, T, Y, X ), Z ),
% 0.84/1.27 hBOOL( hAPP( hAPP( c_FunDef_Oin__rel( U, T, Z ), Y ), X ) ) }.
% 0.84/1.27 { ! hBOOL( hAPP( Y, X ) ), ! c_member( tc_prod( W, W ),
% 0.84/1.27 c_Product__Type_OPair( W, W, U, T ), hAPP( Z, X ) ), c_member( tc_prod(
% 0.84/1.27 tc_prod( V0, W ), tc_prod( V0, W ) ), c_Product__Type_OPair( tc_prod( V0
% 0.84/1.27 , W ), tc_prod( V0, W ), c_Product__Type_OPair( V0, W, X, U ),
% 0.84/1.27 c_Product__Type_OPair( V0, W, X, T ) ), c_Recdef_Osame__fst( V0, W, Y, Z
% 0.84/1.27 ) ) }.
% 0.84/1.27 { ! c_Nitpick_Orefl_H( Y, X ), c_member( tc_prod( Y, Y ),
% 0.84/1.27 c_Product__Type_OPair( Y, Y, Z, Z ), X ) }.
% 0.84/1.27 { ! c_member( tc_prod( Y, Y ), c_Product__Type_OPair( Y, Y, skol4( X, Y ),
% 0.84/1.27 skol4( X, Y ) ), X ), c_Nitpick_Orefl_H( Y, X ) }.
% 0.84/1.27 { ! c_member( tc_fun( tc_prod( tc_Arrow__Order__Mirabelle_Oalt,
% 0.84/1.27 tc_Arrow__Order__Mirabelle_Oalt ), tc_HOL_Obool ), X,
% 0.84/1.27 c_Arrow__Order__Mirabelle_OLin ), Z = Y, c_member( tc_prod(
% 0.84/1.27 tc_Arrow__Order__Mirabelle_Oalt, tc_Arrow__Order__Mirabelle_Oalt ),
% 0.84/1.27 c_Product__Type_OPair( tc_Arrow__Order__Mirabelle_Oalt,
% 0.84/1.27 tc_Arrow__Order__Mirabelle_Oalt, Z, Y ), X ), c_member( tc_prod(
% 0.84/1.27 tc_Arrow__Order__Mirabelle_Oalt, tc_Arrow__Order__Mirabelle_Oalt ),
% 0.84/1.27 c_Product__Type_OPair( tc_Arrow__Order__Mirabelle_Oalt,
% 0.84/1.27 tc_Arrow__Order__Mirabelle_Oalt, Y, Z ), X ) }.
% 0.84/1.27 { ! c_member( tc_fun( tc_prod( tc_Arrow__Order__Mirabelle_Oalt,
% 0.84/1.27 tc_Arrow__Order__Mirabelle_Oalt ), tc_HOL_Obool ), X,
% 0.84/1.27 c_Arrow__Order__Mirabelle_OLin ), Z = Y, ! c_member( tc_prod(
% 0.84/1.27 tc_Arrow__Order__Mirabelle_Oalt, tc_Arrow__Order__Mirabelle_Oalt ),
% 0.84/1.27 c_Product__Type_OPair( tc_Arrow__Order__Mirabelle_Oalt,
% 0.84/1.27 tc_Arrow__Order__Mirabelle_Oalt, Y, Z ), X ), ! c_member( tc_prod(
% 0.84/1.27 tc_Arrow__Order__Mirabelle_Oalt, tc_Arrow__Order__Mirabelle_Oalt ),
% 0.84/1.27 c_Product__Type_OPair( tc_Arrow__Order__Mirabelle_Oalt,
% 0.84/1.27 tc_Arrow__Order__Mirabelle_Oalt, Z, Y ), X ) }.
% 0.84/1.27 { ! hBOOL( hAPP( Z, skol5( Z ) ) ), hBOOL( hAPP( Z, c_Product__Type_OPair(
% 0.84/1.27 Y, X, T, U ) ) ) }.
% 0.84/1.27 { ! hBOOL( hAPP( Z, c_Product__Type_OPair( Y, X, skol73( X, Y, Z ), skol90
% 0.84/1.27 ( X, Y, Z ) ) ) ), hBOOL( hAPP( Z, T ) ) }.
% 0.84/1.27 { ! c_Product__Type_OPair( W, U, T, Z ) = c_Product__Type_OPair( W, U, Y, X
% 0.84/1.27 ), T = Y }.
% 0.84/1.27 { ! c_Product__Type_OPair( W, U, T, Z ) = c_Product__Type_OPair( W, U, Y, X
% 0.84/1.27 ), Z = X }.
% 0.84/1.27 { ! T = Y, ! Z = X, c_Product__Type_OPair( W, U, T, Z ) =
% 0.84/1.27 c_Product__Type_OPair( W, U, Y, X ) }.
% 0.84/1.27 { ! c_Product__Type_OPair( W, U, T, Z ) = c_Product__Type_OPair( W, U, Y, X
% 0.84/1.27 ), T = Y }.
% 0.84/1.27 { ! c_Product__Type_OPair( W, U, T, Z ) = c_Product__Type_OPair( W, U, Y, X
% 0.84/1.27 ), Z = X }.
% 0.84/1.27 { ! c_member( Z, Y, X ), hBOOL( hAPP( X, Y ) ) }.
% 0.84/1.27 { ! hBOOL( hAPP( X, Y ) ), c_member( Z, Y, X ) }.
% 0.84/1.27 { ! Y = X, ! c_member( T, X, Z ), c_member( T, Y, Z ) }.
% 0.84/1.27 { ! Y = X, ! c_member( T, Y, Z ), c_member( T, X, Z ) }.
% 0.84/1.27 { ! Y = X, ! c_member( T, X, Z ), c_member( T, Y, Z ) }.
% 0.84/1.27 { ! Y = X, ! c_member( T, Z, Y ), c_member( T, Z, X ) }.
% 0.84/1.27 { ! Y = X, ! c_member( T, Z, X ), c_member( T, Z, Y ) }.
% 0.84/1.27 { c_Product__Type_Oprod_Oprod__rec( W, U, T, Z, c_Product__Type_OPair( W, U
% 0.84/1.27 , Y, X ) ) = hAPP( hAPP( Z, Y ), X ) }.
% 0.84/1.27 { ! c_Relation_Oirrefl( Y, X ), ! c_member( tc_prod( Y, Y ),
% 0.84/1.27 c_Product__Type_OPair( Y, Y, Z, Z ), X ) }.
% 0.84/1.27 { c_member( tc_prod( Y, Y ), c_Product__Type_OPair( Y, Y, skol6( X, Y ),
% 0.84/1.27 skol6( X, Y ) ), X ), c_Relation_Oirrefl( Y, X ) }.
% 0.84/1.27 { ! c_member( tc_prod( tc_prod( V1, V0 ), tc_prod( V1, V0 ) ),
% 0.84/1.27 c_Product__Type_OPair( tc_prod( V1, V0 ), tc_prod( V1, V0 ),
% 0.84/1.27 c_Product__Type_OPair( V1, V0, W, U ), c_Product__Type_OPair( V1, V0, T,
% 0.84/1.27 Z ) ), c_Wellfounded_Olex__prod( V1, V0, Y, X ) ), c_member( tc_prod( V1
% 0.84/1.27 , V1 ), c_Product__Type_OPair( V1, V1, W, T ), Y ), alpha2( X, Z, T, U, W
% 0.84/1.27 , V0 ) }.
% 0.84/1.27 { ! c_member( tc_prod( V1, V1 ), c_Product__Type_OPair( V1, V1, W, T ), Y )
% 0.84/1.27 , c_member( tc_prod( tc_prod( V1, V0 ), tc_prod( V1, V0 ) ),
% 0.84/1.27 c_Product__Type_OPair( tc_prod( V1, V0 ), tc_prod( V1, V0 ),
% 0.84/1.27 c_Product__Type_OPair( V1, V0, W, U ), c_Product__Type_OPair( V1, V0, T,
% 0.84/1.27 Z ) ), c_Wellfounded_Olex__prod( V1, V0, Y, X ) ) }.
% 0.84/1.27 { ! alpha2( X, Z, T, U, W, V0 ), c_member( tc_prod( tc_prod( V1, V0 ),
% 0.84/1.27 tc_prod( V1, V0 ) ), c_Product__Type_OPair( tc_prod( V1, V0 ), tc_prod(
% 0.84/1.27 V1, V0 ), c_Product__Type_OPair( V1, V0, W, U ), c_Product__Type_OPair(
% 0.84/1.27 V1, V0, T, Z ) ), c_Wellfounded_Olex__prod( V1, V0, Y, X ) ) }.
% 0.84/1.27 { ! alpha2( X, Y, Z, T, U, W ), U = Z }.
% 0.84/1.27 { ! alpha2( X, Y, Z, T, U, W ), c_member( tc_prod( W, W ),
% 0.84/1.27 c_Product__Type_OPair( W, W, T, Y ), X ) }.
% 0.84/1.27 { ! U = Z, ! c_member( tc_prod( W, W ), c_Product__Type_OPair( W, W, T, Y )
% 0.84/1.27 , X ), alpha2( X, Y, Z, T, U, W ) }.
% 0.84/1.27 { c_Product__Type_Ointernal__split( W, U, T, Z, c_Product__Type_OPair( W, U
% 0.84/1.27 , Y, X ) ) = hAPP( hAPP( Z, Y ), X ) }.
% 0.84/1.27 { ! c_member( tc_prod( T, Z ), c_Product__Type_OPair( T, Z, U, Y ), X ),
% 0.84/1.27 c_member( Z, Y, c_Relation_ORange( T, Z, X ) ) }.
% 0.84/1.27 { ! c_member( tc_prod( T, T ), c_Product__Type_OPair( T, T, Z, Y ),
% 0.84/1.27 c_Relation_OId__on( T, X ) ), Z = Y }.
% 0.84/1.27 { ! c_member( tc_prod( T, T ), c_Product__Type_OPair( T, T, Z, Y ),
% 0.84/1.27 c_Relation_OId__on( T, X ) ), c_member( T, Z, X ) }.
% 0.84/1.27 { ! Z = Y, ! c_member( T, Z, X ), c_member( tc_prod( T, T ),
% 0.84/1.27 c_Product__Type_OPair( T, T, Z, Y ), c_Relation_OId__on( T, X ) ) }.
% 0.84/1.27 { ! Y = X, ! c_member( T, Y, Z ), c_member( tc_prod( T, T ),
% 0.84/1.27 c_Product__Type_OPair( T, T, Y, X ), c_Relation_OId__on( T, Z ) ) }.
% 0.84/1.27 { ! c_member( tc_prod( T, Z ), c_Product__Type_OPair( T, Z, Y, U ), X ),
% 0.84/1.27 c_member( T, Y, c_Relation_ODomain( T, Z, X ) ) }.
% 0.84/1.27 { c_member( tc_prod( Y, Y ), c_Product__Type_OPair( Y, Y, skol7( X, Y ),
% 0.84/1.27 skol74( X, Y ) ), X ), c_Relation_Otrans( Y, X ) }.
% 0.84/1.27 { c_member( tc_prod( Y, Y ), c_Product__Type_OPair( Y, Y, skol74( X, Y ),
% 0.84/1.27 skol91( X, Y ) ), X ), c_Relation_Otrans( Y, X ) }.
% 0.84/1.27 { ! c_member( tc_prod( Y, Y ), c_Product__Type_OPair( Y, Y, skol7( X, Y ),
% 0.84/1.27 skol91( X, Y ) ), X ), c_Relation_Otrans( Y, X ) }.
% 0.84/1.27 { ! c_Relation_Ototal__on( Z, Y, X ), ! c_member( Z, T, Y ), alpha3( X, Y,
% 0.84/1.27 Z, T ) }.
% 0.84/1.27 { c_member( Z, skol8( T, Y, Z ), Y ), c_Relation_Ototal__on( Z, Y, X ) }.
% 0.84/1.27 { ! alpha3( X, Y, Z, skol8( X, Y, Z ) ), c_Relation_Ototal__on( Z, Y, X ) }
% 0.84/1.27 .
% 0.84/1.27 { ! alpha3( X, Y, Z, T ), ! c_member( Z, U, Y ), alpha19( X, Z, T, U ) }.
% 0.84/1.27 { c_member( Z, skol9( U, Y, Z, W ), Y ), alpha3( X, Y, Z, T ) }.
% 0.84/1.27 { ! alpha19( X, Z, T, skol9( X, Y, Z, T ) ), alpha3( X, Y, Z, T ) }.
% 0.84/1.27 { ! alpha19( X, Y, Z, T ), Z = T, alpha29( X, Y, Z, T ) }.
% 0.84/1.27 { ! Z = T, alpha19( X, Y, Z, T ) }.
% 0.84/1.27 { ! alpha29( X, Y, Z, T ), alpha19( X, Y, Z, T ) }.
% 0.84/1.27 { ! alpha29( X, Y, Z, T ), c_member( tc_prod( Y, Y ), c_Product__Type_OPair
% 0.84/1.27 ( Y, Y, Z, T ), X ), c_member( tc_prod( Y, Y ), c_Product__Type_OPair( Y
% 0.84/1.27 , Y, T, Z ), X ) }.
% 0.84/1.27 { ! c_member( tc_prod( Y, Y ), c_Product__Type_OPair( Y, Y, Z, T ), X ),
% 0.84/1.27 alpha29( X, Y, Z, T ) }.
% 0.84/1.27 { ! c_member( tc_prod( Y, Y ), c_Product__Type_OPair( Y, Y, T, Z ), X ),
% 0.84/1.27 alpha29( X, Y, Z, T ) }.
% 0.84/1.27 { ! c_member( tc_prod( W, W ), c_Product__Type_OPair( W, W, U, T ), hAPP(
% 0.84/1.27 c_Relation_Oinv__image( Z, W, Y ), X ) ), c_member( tc_prod( Z, Z ),
% 0.84/1.27 c_Product__Type_OPair( Z, Z, hAPP( X, U ), hAPP( X, T ) ), Y ) }.
% 0.84/1.27 { ! c_member( tc_prod( Z, Z ), c_Product__Type_OPair( Z, Z, hAPP( X, U ),
% 0.84/1.27 hAPP( X, T ) ), Y ), c_member( tc_prod( W, W ), c_Product__Type_OPair( W
% 0.84/1.27 , W, U, T ), hAPP( c_Relation_Oinv__image( Z, W, Y ), X ) ) }.
% 0.84/1.27 { ! c_Relation_Otrans( Y, X ), ! c_Relation_Otrans( T, Z ),
% 0.84/1.27 c_Relation_Otrans( tc_prod( Y, T ), c_Wellfounded_Olex__prod( Y, T, X, Z
% 0.84/1.27 ) ) }.
% 0.84/1.27 { c_Relation_ORange( Y, Y, c_Relation_OId__on( Y, X ) ) = X }.
% 0.84/1.27 { c_Relation_ODomain( Y, Y, c_Relation_OId__on( Y, X ) ) = X }.
% 0.84/1.27 { c_Relation_Otrans( Y, c_Relation_OId__on( Y, X ) ) }.
% 0.84/1.27 { ! c_Relation_Otrans( Y, X ), c_Relation_Otrans( T, hAPP(
% 0.84/1.27 c_Relation_Oinv__image( Y, T, X ), Z ) ) }.
% 0.84/1.27 { ! c_member( T, Z, c_Relation_ODomain( T, Y, X ) ), c_member( tc_prod( T,
% 0.84/1.27 Y ), c_Product__Type_OPair( T, Y, Z, skol10( X, Y, Z, T ) ), X ) }.
% 0.84/1.27 { ! c_member( tc_prod( T, Y ), c_Product__Type_OPair( T, Y, Z, U ), X ),
% 0.84/1.27 c_member( T, Z, c_Relation_ODomain( T, Y, X ) ) }.
% 0.84/1.27 { ! c_member( T, Z, c_Relation_ORange( Y, T, X ) ), c_member( tc_prod( Y, T
% 0.84/1.27 ), c_Product__Type_OPair( Y, T, skol11( X, Y, Z, T ), Z ), X ) }.
% 0.84/1.27 { ! c_member( tc_prod( Y, T ), c_Product__Type_OPair( Y, T, U, Z ), X ),
% 0.84/1.27 c_member( T, Z, c_Relation_ORange( Y, T, X ) ) }.
% 0.84/1.27 { ! c_Order__Relation_Ostrict__linear__order__on( Z, Y, X ),
% 0.84/1.27 c_Relation_Otrans( Z, X ) }.
% 0.84/1.27 { ! c_Order__Relation_Ostrict__linear__order__on( Z, Y, X ), alpha4( X, Y,
% 0.84/1.27 Z ) }.
% 0.84/1.27 { ! c_Relation_Otrans( Z, X ), ! alpha4( X, Y, Z ),
% 0.84/1.27 c_Order__Relation_Ostrict__linear__order__on( Z, Y, X ) }.
% 0.84/1.27 { ! alpha4( X, Y, Z ), c_Relation_Oirrefl( Z, X ) }.
% 0.84/1.27 { ! alpha4( X, Y, Z ), c_Relation_Ototal__on( Z, Y, X ) }.
% 0.84/1.27 { ! c_Relation_Oirrefl( Z, X ), ! c_Relation_Ototal__on( Z, Y, X ), alpha4
% 0.84/1.27 ( X, Y, Z ) }.
% 0.84/1.27 { ! c_member( tc_prod( Z, Z ), Y, c_Relation_OId__on( Z, X ) ), Y =
% 0.84/1.27 c_Product__Type_OPair( Z, Z, skol12( T, Y, Z ), skol12( T, Y, Z ) ) }.
% 0.84/1.27 { ! c_member( tc_prod( Z, Z ), Y, c_Relation_OId__on( Z, X ) ), c_member( Z
% 0.84/1.27 , skol12( X, Y, Z ), X ) }.
% 0.84/1.27 { ! c_member( T, Z, c_Relation_ORange( Y, T, X ) ), c_member( tc_prod( Y, T
% 0.84/1.27 ), c_Product__Type_OPair( Y, T, skol13( X, Y, Z, T ), Z ), X ) }.
% 0.84/1.27 { ! c_member( T, Z, c_Relation_ODomain( T, Y, X ) ), c_member( tc_prod( T,
% 0.84/1.27 Y ), c_Product__Type_OPair( T, Y, Z, skol14( X, Y, Z, T ) ), X ) }.
% 0.84/1.27 { ! c_member( Z, Y, c_Wellfounded_Oacc( Z, X ) ), ! c_member( tc_prod( Z, Z
% 0.84/1.27 ), c_Product__Type_OPair( Z, Z, T, Y ), X ), c_member( Z, T,
% 0.84/1.27 c_Wellfounded_Oacc( Z, X ) ) }.
% 0.84/1.27 { ! c_member( Z, skol15( X, T, Z ), c_Wellfounded_Oacc( Z, X ) ), c_member
% 0.84/1.27 ( Z, Y, c_Wellfounded_Oacc( Z, X ) ) }.
% 0.84/1.27 { c_member( tc_prod( Z, Z ), c_Product__Type_OPair( Z, Z, skol15( X, Y, Z )
% 0.84/1.27 , Y ), X ), c_member( Z, Y, c_Wellfounded_Oacc( Z, X ) ) }.
% 0.84/1.27 { ! c_member( Z, Y, c_Wellfounded_Oacc( Z, X ) ), ! c_member( tc_prod( Z, Z
% 0.84/1.27 ), c_Product__Type_OPair( Z, Z, T, Y ), X ), c_member( Z, T,
% 0.84/1.27 c_Wellfounded_Oacc( Z, X ) ) }.
% 0.84/1.27 { ! c_Relation_Orefl__on( Z, Y, X ), ! c_member( Z, T, Y ), c_member(
% 0.84/1.27 tc_prod( Z, Z ), c_Product__Type_OPair( Z, Z, T, T ), X ) }.
% 0.84/1.27 { ! c_Relation_Orefl__on( Z, Y, X ), ! c_member( tc_prod( Z, Z ),
% 0.84/1.27 c_Product__Type_OPair( Z, Z, T, U ), X ), c_member( Z, T, Y ) }.
% 0.84/1.27 { ! c_Relation_Orefl__on( Z, Y, X ), ! c_member( tc_prod( Z, Z ),
% 0.84/1.27 c_Product__Type_OPair( Z, Z, U, T ), X ), c_member( Z, T, Y ) }.
% 0.84/1.27 { ! c_Recdef_Owfrec__rel( W, U, T, Z, Y, hAPP( hAPP( Z, X ), Y ) ), hAPP(
% 0.84/1.27 hAPP( Z, X ), Y ) = hAPP( hAPP( Z, skol16( X, Y, Z, V0, V1, V2 ) ), Y ) }
% 0.84/1.27 .
% 0.84/1.27 { ! c_Recdef_Owfrec__rel( W, U, T, Z, Y, hAPP( hAPP( Z, X ), Y ) ), alpha5
% 0.84/1.27 ( Y, Z, T, U, W, skol16( X, Y, Z, T, U, W ) ) }.
% 0.84/1.27 { ! hAPP( hAPP( Z, X ), Y ) = hAPP( hAPP( Z, V0 ), Y ), ! alpha5( Y, Z, T,
% 0.84/1.27 U, W, V0 ), c_Recdef_Owfrec__rel( W, U, T, Z, Y, hAPP( hAPP( Z, X ), Y )
% 0.84/1.27 ) }.
% 0.84/1.27 { ! alpha5( X, Y, Z, T, U, W ), ! c_member( tc_prod( U, U ),
% 0.84/1.27 c_Product__Type_OPair( U, U, V0, X ), Z ), c_Recdef_Owfrec__rel( U, T, Z
% 0.84/1.27 , Y, V0, hAPP( W, V0 ) ) }.
% 0.84/1.27 { c_member( tc_prod( U, U ), c_Product__Type_OPair( U, U, skol17( X, V0, Z
% 0.84/1.27 , V1, U, V2 ), X ), Z ), alpha5( X, Y, Z, T, U, W ) }.
% 0.84/1.27 { ! c_Recdef_Owfrec__rel( U, T, Z, Y, skol17( X, Y, Z, T, U, W ), hAPP( W,
% 0.84/1.27 skol17( X, Y, Z, T, U, W ) ) ), alpha5( X, Y, Z, T, U, W ) }.
% 0.84/1.27 { c_Relation_Orefl__on( Y, X, c_Relation_OId__on( Y, X ) ) }.
% 0.84/1.27 { ! c_Order__Relation_Opreorder__on( Z, Y, X ), c_Relation_Orefl__on( Z, Y
% 0.84/1.27 , X ) }.
% 0.84/1.27 { ! c_Order__Relation_Opreorder__on( Z, Y, X ), c_Relation_Otrans( Z, X ) }
% 0.84/1.27 .
% 0.84/1.27 { ! c_Relation_Orefl__on( Z, Y, X ), ! c_Relation_Otrans( Z, X ),
% 0.84/1.27 c_Order__Relation_Opreorder__on( Z, Y, X ) }.
% 0.84/1.27 { c_member( Z, Y, c_Wellfounded_Oacc( Z, X ) ), ! c_member( Z, skol18( X, T
% 0.84/1.27 , Z ), c_Wellfounded_Oacc( Z, X ) ) }.
% 0.84/1.27 { c_member( Z, Y, c_Wellfounded_Oacc( Z, X ) ), c_member( tc_prod( Z, Z ),
% 0.84/1.27 c_Product__Type_OPair( Z, Z, skol18( X, Y, Z ), Y ), X ) }.
% 0.84/1.27 { ! c_member( Z, skol19( X, T, Z ), c_Wellfounded_Oacc( Z, X ) ), c_member
% 0.84/1.27 ( Z, Y, c_Wellfounded_Oacc( Z, X ) ) }.
% 0.84/1.27 { c_member( tc_prod( Z, Z ), c_Product__Type_OPair( Z, Z, skol19( X, Y, Z )
% 0.84/1.27 , Y ), X ), c_member( Z, Y, c_Wellfounded_Oacc( Z, X ) ) }.
% 0.84/1.27 { c_member( tc_prod( W, W ), c_Product__Type_OPair( W, W, skol20( V0, V1,
% 0.84/1.27 V2, T, U, W ), U ), T ), c_Recdef_Owfrec__rel( W, Z, T, Y, U, hAPP( hAPP
% 0.84/1.27 ( Y, X ), U ) ) }.
% 0.84/1.27 { ! c_Recdef_Owfrec__rel( W, Z, T, Y, skol20( X, Y, Z, T, U, W ), hAPP( X,
% 0.84/1.27 skol20( X, Y, Z, T, U, W ) ) ), c_Recdef_Owfrec__rel( W, Z, T, Y, U, hAPP
% 0.84/1.27 ( hAPP( Y, X ), U ) ) }.
% 0.84/1.27 { ! c_Recdef_Owfrec__rel( W, U, T, Z, Y, X ), X = hAPP( hAPP( Z, skol21( X
% 0.84/1.27 , Y, Z, V0, V1, V2 ) ), Y ) }.
% 0.84/1.27 { ! c_Recdef_Owfrec__rel( W, U, T, Z, Y, X ), alpha6( Y, Z, T, U, W, skol21
% 0.84/1.27 ( X, Y, Z, T, U, W ) ) }.
% 0.84/1.27 { ! X = hAPP( hAPP( Z, V0 ), Y ), ! alpha6( Y, Z, T, U, W, V0 ),
% 0.84/1.27 c_Recdef_Owfrec__rel( W, U, T, Z, Y, X ) }.
% 0.84/1.27 { ! alpha6( X, Y, Z, T, U, W ), ! c_member( tc_prod( U, U ),
% 0.84/1.27 c_Product__Type_OPair( U, U, V0, X ), Z ), c_Recdef_Owfrec__rel( U, T, Z
% 0.84/1.27 , Y, V0, hAPP( W, V0 ) ) }.
% 0.84/1.27 { c_member( tc_prod( U, U ), c_Product__Type_OPair( U, U, skol22( X, V0, Z
% 0.84/1.27 , V1, U, V2 ), X ), Z ), alpha6( X, Y, Z, T, U, W ) }.
% 0.84/1.27 { ! c_Recdef_Owfrec__rel( U, T, Z, Y, skol22( X, Y, Z, T, U, W ), hAPP( W,
% 0.84/1.27 skol22( X, Y, Z, T, U, W ) ) ), alpha6( X, Y, Z, T, U, W ) }.
% 0.84/1.27 { ! c_member( tc_prod( T, T ), c_Product__Type_OPair( T, T, Z, Y ),
% 0.84/1.27 c_Transitive__Closure_Ortrancl( T, X ) ), ! c_member( T, Y,
% 0.84/1.27 c_Wellfounded_Oacc( T, X ) ), c_member( T, Z, c_Wellfounded_Oacc( T, X )
% 0.84/1.27 ) }.
% 0.84/1.27 { ! c_member( Z, Y, c_Wellfounded_Oacc( Z, X ) ), ! c_member( tc_prod( Z, Z
% 0.84/1.27 ), c_Product__Type_OPair( Z, Z, T, Y ), c_Transitive__Closure_Ortrancl(
% 0.84/1.27 Z, X ) ), c_member( Z, T, c_Wellfounded_Oacc( Z, X ) ) }.
% 0.84/1.27 { ! hBOOL( hAPP( U, c_Product__Type_OPair( T, Z, Y, X ) ) ), hBOOL(
% 0.84/1.27 c_Product__Type_Ocurry( T, Z, tc_HOL_Obool, U, Y, X ) ) }.
% 0.84/1.27 { ! c_Relation_Osingle__valued( Z, Y, X ), ! c_member( tc_prod( Z, Y ),
% 0.84/1.27 c_Product__Type_OPair( Z, Y, U, T ), X ), ! c_member( tc_prod( Z, Y ),
% 0.84/1.27 c_Product__Type_OPair( Z, Y, U, W ), X ), T = W }.
% 0.84/1.27 { ! c_Relation_Osingle__valued( Z, Y, X ), ! c_member( tc_prod( Z, Y ),
% 0.84/1.27 c_Product__Type_OPair( Z, Y, T, U ), X ), alpha7( X, Y, Z, T, U ) }.
% 0.84/1.27 { c_member( tc_prod( Z, Y ), c_Product__Type_OPair( Z, Y, skol23( X, Y, Z )
% 0.84/1.27 , skol75( X, Y, Z ) ), X ), c_Relation_Osingle__valued( Z, Y, X ) }.
% 0.84/1.27 { ! alpha7( X, Y, Z, skol23( X, Y, Z ), skol75( X, Y, Z ) ),
% 0.84/1.27 c_Relation_Osingle__valued( Z, Y, X ) }.
% 0.84/1.27 { ! alpha7( X, Y, Z, T, U ), ! c_member( tc_prod( Z, Y ),
% 0.84/1.27 c_Product__Type_OPair( Z, Y, T, W ), X ), U = W }.
% 0.84/1.27 { ! U = skol24( W, V0, V1, V2, U ), alpha7( X, Y, Z, T, U ) }.
% 0.84/1.27 { c_member( tc_prod( Z, Y ), c_Product__Type_OPair( Z, Y, T, skol24( X, Y,
% 0.84/1.27 Z, T, U ) ), X ), alpha7( X, Y, Z, T, U ) }.
% 0.84/1.27 { ! hBOOL( c_Product__Type_Ocurry( U, T, tc_HOL_Obool, Z, Y, X ) ), hBOOL(
% 0.84/1.27 hAPP( Z, c_Product__Type_OPair( U, T, Y, X ) ) ) }.
% 0.84/1.27 { ! hBOOL( c_Product__Type_Ocurry( U, T, tc_HOL_Obool, Z, Y, X ) ), hBOOL(
% 0.84/1.27 hAPP( Z, c_Product__Type_OPair( U, T, Y, X ) ) ) }.
% 0.84/1.27 { c_Relation_Osingle__valued( Y, Y, c_Relation_OId__on( Y, X ) ) }.
% 0.84/1.27 { c_Product__Type_Ocurry( W, U, T, Z, Y, X ) = hAPP( Z,
% 0.84/1.27 c_Product__Type_OPair( W, U, Y, X ) ) }.
% 0.84/1.27 { c_member( tc_prod( Z, Z ), c_Product__Type_OPair( Z, Z, Y, Y ),
% 0.84/1.27 c_Transitive__Closure_Ortrancl( Z, X ) ) }.
% 0.84/1.27 { ! c_member( tc_prod( Z, Z ), Y, X ), c_member( tc_prod( Z, Z ), Y,
% 0.84/1.27 c_Transitive__Closure_Ortrancl( Z, X ) ) }.
% 0.84/1.27 { c_member( Z, Y, c_Relation_ODomain( Z, Z, X ) ), ! c_member( tc_prod( Z,
% 0.84/1.27 Z ), c_Product__Type_OPair( Z, Z, Y, T ), c_Transitive__Closure_Ortrancl
% 0.84/1.27 ( Z, X ) ), Y = T }.
% 0.84/1.27 { c_member( Z, Y, c_Relation_ODomain( Z, Z, X ) ), ! Y = T, c_member(
% 0.84/1.27 tc_prod( Z, Z ), c_Product__Type_OPair( Z, Z, Y, T ),
% 0.84/1.27 c_Transitive__Closure_Ortrancl( Z, X ) ) }.
% 0.84/1.27 { ! c_Relation_Osingle__valued( Y, Y, X ), ! c_member( tc_prod( Y, Y ),
% 0.84/1.27 c_Product__Type_OPair( Y, Y, T, Z ), c_Transitive__Closure_Ortrancl( Y, X
% 0.84/1.27 ) ), ! c_member( tc_prod( Y, Y ), c_Product__Type_OPair( Y, Y, T, U ),
% 0.84/1.27 c_Transitive__Closure_Ortrancl( Y, X ) ), c_member( tc_prod( Y, Y ),
% 0.84/1.27 c_Product__Type_OPair( Y, Y, Z, U ), c_Transitive__Closure_Ortrancl( Y, X
% 0.84/1.27 ) ), c_member( tc_prod( Y, Y ), c_Product__Type_OPair( Y, Y, U, Z ),
% 0.84/1.27 c_Transitive__Closure_Ortrancl( Y, X ) ) }.
% 0.84/1.27 { ! c_member( tc_prod( T, T ), c_Product__Type_OPair( T, T, Z, Y ), X ), !
% 0.84/1.27 c_member( tc_prod( T, T ), c_Product__Type_OPair( T, T, Y, U ),
% 0.84/1.27 c_Transitive__Closure_Ortrancl( T, X ) ), c_member( tc_prod( T, T ),
% 0.84/1.27 c_Product__Type_OPair( T, T, Z, U ), c_Transitive__Closure_Ortrancl( T, X
% 0.84/1.27 ) ) }.
% 0.84/1.27 { ! c_member( tc_prod( T, T ), c_Product__Type_OPair( T, T, Z, Y ),
% 0.84/1.27 c_Transitive__Closure_Ortrancl( T, X ) ), ! c_member( tc_prod( T, T ),
% 0.84/1.27 c_Product__Type_OPair( T, T, Y, U ), X ), c_member( tc_prod( T, T ),
% 0.84/1.27 c_Product__Type_OPair( T, T, Z, U ), c_Transitive__Closure_Ortrancl( T, X
% 0.84/1.27 ) ) }.
% 0.84/1.27 { ! c_member( tc_prod( T, T ), c_Product__Type_OPair( T, T, Z, Y ),
% 0.84/1.27 c_Transitive__Closure_Ortrancl( T, X ) ), ! c_member( tc_prod( T, T ),
% 0.84/1.27 c_Product__Type_OPair( T, T, Y, U ), c_Transitive__Closure_Ortrancl( T, X
% 0.84/1.27 ) ), c_member( tc_prod( T, T ), c_Product__Type_OPair( T, T, Z, U ),
% 0.84/1.27 c_Transitive__Closure_Ortrancl( T, X ) ) }.
% 0.84/1.27 { c_Relation_Otrans( Y, c_Transitive__Closure_Ortrancl( Y, X ) ) }.
% 0.84/1.27 { c_member( tc_prod( Z, Y ), c_Product__Type_OPair( Z, Y, skol25( X, Y, Z )
% 0.84/1.27 , skol76( X, Y, Z ) ), X ), c_Relation_Osingle__valued( Z, Y, X ) }.
% 0.84/1.27 { c_member( tc_prod( Z, Y ), c_Product__Type_OPair( Z, Y, skol25( X, Y, Z )
% 0.84/1.27 , skol92( X, Y, Z ) ), X ), c_Relation_Osingle__valued( Z, Y, X ) }.
% 0.84/1.27 { ! skol76( X, Y, Z ) = skol92( X, Y, Z ), c_Relation_Osingle__valued( Z, Y
% 0.84/1.27 , X ) }.
% 0.84/1.27 { c_Transitive__Closure_Ortrancl( Y, c_Transitive__Closure_Ortrancl( Y, X )
% 0.84/1.27 ) = c_Transitive__Closure_Ortrancl( Y, X ) }.
% 0.84/1.27 { ! c_member( tc_prod( tc_prod( V0, W ), tc_prod( V0, W ) ),
% 0.84/1.27 c_Product__Type_OPair( tc_prod( V0, W ), tc_prod( V0, W ),
% 0.84/1.27 c_Product__Type_OPair( V0, W, U, T ), c_Product__Type_OPair( V0, W, Z, Y
% 0.84/1.27 ) ), c_Transitive__Closure_Ortrancl( tc_prod( V0, W ), X ) ), ! hBOOL(
% 0.84/1.27 hAPP( hAPP( V1, U ), T ) ), c_member( tc_prod( tc_prod( V0, W ), tc_prod
% 0.84/1.27 ( V0, W ) ), c_Product__Type_OPair( tc_prod( V0, W ), tc_prod( V0, W ),
% 0.84/1.27 c_Product__Type_OPair( V0, W, U, T ), c_Product__Type_OPair( V0, W,
% 0.84/1.27 skol26( X, T, U, W, V0, V1 ), skol77( X, T, U, W, V0, V1 ) ) ),
% 0.84/1.27 c_Transitive__Closure_Ortrancl( tc_prod( V0, W ), X ) ), hBOOL( hAPP(
% 0.84/1.27 hAPP( V1, Z ), Y ) ) }.
% 0.84/1.27 { ! c_member( tc_prod( tc_prod( V0, W ), tc_prod( V0, W ) ),
% 0.84/1.27 c_Product__Type_OPair( tc_prod( V0, W ), tc_prod( V0, W ),
% 0.84/1.27 c_Product__Type_OPair( V0, W, U, T ), c_Product__Type_OPair( V0, W, Z, Y
% 0.84/1.27 ) ), c_Transitive__Closure_Ortrancl( tc_prod( V0, W ), X ) ), ! hBOOL(
% 0.84/1.27 hAPP( hAPP( V1, U ), T ) ), alpha41( X, W, V0, V1, skol26( X, T, U, W, V0
% 0.84/1.27 , V1 ), skol77( X, T, U, W, V0, V1 ) ), hBOOL( hAPP( hAPP( V1, Z ), Y ) )
% 0.84/1.27 }.
% 0.84/1.27 { ! alpha41( X, Y, Z, T, U, W ), hBOOL( hAPP( hAPP( T, U ), W ) ) }.
% 0.84/1.27 { ! alpha41( X, Y, Z, T, U, W ), c_member( tc_prod( tc_prod( Z, Y ),
% 0.84/1.27 tc_prod( Z, Y ) ), c_Product__Type_OPair( tc_prod( Z, Y ), tc_prod( Z, Y
% 0.84/1.27 ), c_Product__Type_OPair( Z, Y, U, W ), c_Product__Type_OPair( Z, Y,
% 0.84/1.27 skol27( X, Y, Z, T, U, W ), skol78( X, Y, Z, T, U, W ) ) ), X ) }.
% 0.84/1.27 { ! alpha41( X, Y, Z, T, U, W ), ! hBOOL( hAPP( hAPP( T, skol27( X, Y, Z, T
% 0.84/1.27 , U, W ) ), skol78( X, Y, Z, T, U, W ) ) ) }.
% 0.84/1.27 { ! c_member( tc_prod( tc_prod( Z, Y ), tc_prod( Z, Y ) ),
% 0.84/1.27 c_Product__Type_OPair( tc_prod( Z, Y ), tc_prod( Z, Y ),
% 0.84/1.27 c_Product__Type_OPair( Z, Y, U, W ), c_Product__Type_OPair( Z, Y, V0, V1
% 0.84/1.27 ) ), X ), ! hBOOL( hAPP( hAPP( T, U ), W ) ), hBOOL( hAPP( hAPP( T, V0 )
% 0.84/1.27 , V1 ) ), alpha41( X, Y, Z, T, U, W ) }.
% 0.84/1.27 { ! c_member( tc_prod( tc_prod( V0, W ), tc_prod( V0, W ) ),
% 0.84/1.27 c_Product__Type_OPair( tc_prod( V0, W ), tc_prod( V0, W ),
% 0.84/1.27 c_Product__Type_OPair( V0, W, U, T ), c_Product__Type_OPair( V0, W, Z, Y
% 0.84/1.27 ) ), c_Transitive__Closure_Ortrancl( tc_prod( V0, W ), X ) ), ! hBOOL(
% 0.84/1.27 hAPP( hAPP( V1, Z ), Y ) ), alpha42( X, Y, Z, W, V0, skol28( X, Y, Z, W,
% 0.84/1.27 V0, V1 ), skol79( X, Y, Z, W, V0, V1 ), skol93( X, Y, Z, W, V0, V1 ),
% 0.84/1.27 skol94( X, Y, Z, W, V0, V1 ) ), hBOOL( hAPP( hAPP( V1, U ), T ) ) }.
% 0.84/1.27 { ! c_member( tc_prod( tc_prod( V0, W ), tc_prod( V0, W ) ),
% 0.84/1.27 c_Product__Type_OPair( tc_prod( V0, W ), tc_prod( V0, W ),
% 0.84/1.27 c_Product__Type_OPair( V0, W, U, T ), c_Product__Type_OPair( V0, W, Z, Y
% 0.84/1.27 ) ), c_Transitive__Closure_Ortrancl( tc_prod( V0, W ), X ) ), ! hBOOL(
% 0.84/1.27 hAPP( hAPP( V1, Z ), Y ) ), hBOOL( hAPP( hAPP( V1, skol93( X, Y, Z, W, V0
% 0.84/1.27 , V1 ) ), skol94( X, Y, Z, W, V0, V1 ) ) ), hBOOL( hAPP( hAPP( V1, U ), T
% 0.84/1.27 ) ) }.
% 0.84/1.27 { ! c_member( tc_prod( tc_prod( V0, W ), tc_prod( V0, W ) ),
% 0.84/1.27 c_Product__Type_OPair( tc_prod( V0, W ), tc_prod( V0, W ),
% 0.84/1.27 c_Product__Type_OPair( V0, W, U, T ), c_Product__Type_OPair( V0, W, Z, Y
% 0.84/1.27 ) ), c_Transitive__Closure_Ortrancl( tc_prod( V0, W ), X ) ), ! hBOOL(
% 0.84/1.27 hAPP( hAPP( V1, Z ), Y ) ), ! hBOOL( hAPP( hAPP( V1, skol28( X, Y, Z, W,
% 0.84/1.27 V0, V1 ) ), skol79( X, Y, Z, W, V0, V1 ) ) ), hBOOL( hAPP( hAPP( V1, U )
% 0.84/1.27 , T ) ) }.
% 0.84/1.27 { ! alpha42( X, Y, Z, T, U, W, V0, V1, V2 ), c_member( tc_prod( tc_prod( U
% 0.84/1.27 , T ), tc_prod( U, T ) ), c_Product__Type_OPair( tc_prod( U, T ), tc_prod
% 0.84/1.27 ( U, T ), c_Product__Type_OPair( U, T, W, V0 ), c_Product__Type_OPair( U
% 0.84/1.27 , T, V1, V2 ) ), X ) }.
% 0.84/1.27 { ! alpha42( X, Y, Z, T, U, W, V0, V1, V2 ), c_member( tc_prod( tc_prod( U
% 0.84/1.27 , T ), tc_prod( U, T ) ), c_Product__Type_OPair( tc_prod( U, T ), tc_prod
% 0.84/1.27 ( U, T ), c_Product__Type_OPair( U, T, V1, V2 ), c_Product__Type_OPair( U
% 0.84/1.27 , T, Z, Y ) ), c_Transitive__Closure_Ortrancl( tc_prod( U, T ), X ) ) }.
% 0.84/1.27 { ! c_member( tc_prod( tc_prod( U, T ), tc_prod( U, T ) ),
% 0.84/1.27 c_Product__Type_OPair( tc_prod( U, T ), tc_prod( U, T ),
% 0.84/1.27 c_Product__Type_OPair( U, T, W, V0 ), c_Product__Type_OPair( U, T, V1, V2
% 0.84/1.27 ) ), X ), ! c_member( tc_prod( tc_prod( U, T ), tc_prod( U, T ) ),
% 0.84/1.27 c_Product__Type_OPair( tc_prod( U, T ), tc_prod( U, T ),
% 0.84/1.27 c_Product__Type_OPair( U, T, V1, V2 ), c_Product__Type_OPair( U, T, Z, Y
% 0.84/1.27 ) ), c_Transitive__Closure_Ortrancl( tc_prod( U, T ), X ) ), alpha42( X
% 0.84/1.27 , Y, Z, T, U, W, V0, V1, V2 ) }.
% 0.84/1.27 { ! c_member( tc_prod( tc_prod( V0, W ), tc_prod( V0, W ) ),
% 0.84/1.27 c_Product__Type_OPair( tc_prod( V0, W ), tc_prod( V0, W ),
% 0.84/1.27 c_Product__Type_OPair( V0, W, U, T ), c_Product__Type_OPair( V0, W, Z, Y
% 0.84/1.27 ) ), c_Transitive__Closure_Ortrancl( tc_prod( V0, W ), X ) ),
% 0.84/1.27 c_Product__Type_OPair( V0, W, U, T ) = c_Product__Type_OPair( V0, W, Z, Y
% 0.84/1.27 ), c_member( tc_prod( tc_prod( V0, W ), tc_prod( V0, W ) ),
% 0.84/1.27 c_Product__Type_OPair( tc_prod( V0, W ), tc_prod( V0, W ),
% 0.84/1.27 c_Product__Type_OPair( V0, W, U, T ), c_Product__Type_OPair( V0, W,
% 0.84/1.27 skol29( X, Y, Z, T, U, W, V0 ), skol80( X, Y, Z, T, U, W, V0 ) ) ), X ) }
% 0.84/1.27 .
% 0.84/1.27 { ! c_member( tc_prod( tc_prod( V0, W ), tc_prod( V0, W ) ),
% 0.84/1.27 c_Product__Type_OPair( tc_prod( V0, W ), tc_prod( V0, W ),
% 0.84/1.27 c_Product__Type_OPair( V0, W, U, T ), c_Product__Type_OPair( V0, W, Z, Y
% 0.84/1.27 ) ), c_Transitive__Closure_Ortrancl( tc_prod( V0, W ), X ) ),
% 0.84/1.27 c_Product__Type_OPair( V0, W, U, T ) = c_Product__Type_OPair( V0, W, Z, Y
% 0.84/1.27 ), c_member( tc_prod( tc_prod( V0, W ), tc_prod( V0, W ) ),
% 0.84/1.27 c_Product__Type_OPair( tc_prod( V0, W ), tc_prod( V0, W ),
% 0.84/1.27 c_Product__Type_OPair( V0, W, skol29( X, Y, Z, T, U, W, V0 ), skol80( X,
% 0.84/1.27 Y, Z, T, U, W, V0 ) ), c_Product__Type_OPair( V0, W, Z, Y ) ),
% 0.84/1.27 c_Transitive__Closure_Ortrancl( tc_prod( V0, W ), X ) ) }.
% 0.84/1.27 { ! c_member( tc_prod( T, T ), c_Product__Type_OPair( T, T, Z, Y ),
% 0.84/1.27 c_Transitive__Closure_Ortrancl( T, X ) ), Z = Y, c_member( tc_prod( T, T
% 0.84/1.27 ), c_Product__Type_OPair( T, T, Z, skol30( X, U, Z, T ) ),
% 0.84/1.27 c_Transitive__Closure_Ortrancl( T, X ) ) }.
% 0.84/1.27 { ! c_member( tc_prod( T, T ), c_Product__Type_OPair( T, T, Z, Y ),
% 0.84/1.27 c_Transitive__Closure_Ortrancl( T, X ) ), Z = Y, c_member( tc_prod( T, T
% 0.84/1.27 ), c_Product__Type_OPair( T, T, skol30( X, Y, Z, T ), Y ), X ) }.
% 0.84/1.27 { ! c_member( tc_prod( T, T ), c_Product__Type_OPair( T, T, Z, Y ),
% 0.84/1.27 c_Transitive__Closure_Ortrancl( T, X ) ), Z = Y, c_member( tc_prod( T, T
% 0.84/1.27 ), c_Product__Type_OPair( T, T, Z, skol31( X, U, Z, T ) ), X ) }.
% 0.84/1.27 { ! c_member( tc_prod( T, T ), c_Product__Type_OPair( T, T, Z, Y ),
% 0.84/1.27 c_Transitive__Closure_Ortrancl( T, X ) ), Z = Y, c_member( tc_prod( T, T
% 0.84/1.27 ), c_Product__Type_OPair( T, T, skol31( X, Y, Z, T ), Y ),
% 0.84/1.27 c_Transitive__Closure_Ortrancl( T, X ) ) }.
% 0.84/1.27 { ! c_member( tc_prod( T, T ), c_Product__Type_OPair( T, T, Z, Y ),
% 0.84/1.27 c_Transitive__Closure_Ortrancl( T, X ) ), ! hBOOL( hAPP( U, Y ) ), hBOOL
% 0.84/1.27 ( hAPP( U, skol81( W, V0, V1, U ) ) ), hBOOL( hAPP( U, Z ) ) }.
% 0.84/1.27 { ! c_member( tc_prod( T, T ), c_Product__Type_OPair( T, T, Z, Y ),
% 0.84/1.27 c_Transitive__Closure_Ortrancl( T, X ) ), ! hBOOL( hAPP( U, Y ) ),
% 0.84/1.27 alpha43( X, Y, T, skol32( X, Y, T, U ), skol81( X, Y, T, U ) ), hBOOL(
% 0.84/1.27 hAPP( U, Z ) ) }.
% 0.84/1.27 { ! c_member( tc_prod( T, T ), c_Product__Type_OPair( T, T, Z, Y ),
% 0.84/1.27 c_Transitive__Closure_Ortrancl( T, X ) ), ! hBOOL( hAPP( U, Y ) ), !
% 0.84/1.27 hBOOL( hAPP( U, skol32( X, Y, T, U ) ) ), hBOOL( hAPP( U, Z ) ) }.
% 0.84/1.27 { ! alpha43( X, Y, Z, T, U ), c_member( tc_prod( Z, Z ),
% 0.84/1.27 c_Product__Type_OPair( Z, Z, T, U ), X ) }.
% 0.84/1.27 { ! alpha43( X, Y, Z, T, U ), c_member( tc_prod( Z, Z ),
% 0.84/1.27 c_Product__Type_OPair( Z, Z, U, Y ), c_Transitive__Closure_Ortrancl( Z, X
% 0.84/1.27 ) ) }.
% 0.84/1.27 { ! c_member( tc_prod( Z, Z ), c_Product__Type_OPair( Z, Z, T, U ), X ), !
% 0.84/1.27 c_member( tc_prod( Z, Z ), c_Product__Type_OPair( Z, Z, U, Y ),
% 0.84/1.27 c_Transitive__Closure_Ortrancl( Z, X ) ), alpha43( X, Y, Z, T, U ) }.
% 0.84/1.27 { ! c_member( tc_prod( T, T ), c_Product__Type_OPair( T, T, Z, Y ),
% 0.84/1.27 c_Transitive__Closure_Ortrancl( T, X ) ), ! hBOOL( hAPP( U, Z ) ),
% 0.84/1.27 c_member( tc_prod( T, T ), c_Product__Type_OPair( T, T, Z, skol33( X, Z,
% 0.84/1.27 T, W ) ), c_Transitive__Closure_Ortrancl( T, X ) ), hBOOL( hAPP( U, Y ) )
% 0.84/1.27 }.
% 0.84/1.27 { ! c_member( tc_prod( T, T ), c_Product__Type_OPair( T, T, Z, Y ),
% 0.84/1.27 c_Transitive__Closure_Ortrancl( T, X ) ), ! hBOOL( hAPP( U, Z ) ),
% 0.84/1.27 alpha44( X, T, U, skol33( X, Z, T, U ) ), hBOOL( hAPP( U, Y ) ) }.
% 0.84/1.27 { ! alpha44( X, Y, Z, T ), ! hBOOL( hAPP( Z, skol34( U, W, Z, V0 ) ) ) }.
% 0.84/1.27 { ! alpha44( X, Y, Z, T ), hBOOL( hAPP( Z, T ) ) }.
% 0.84/1.27 { ! alpha44( X, Y, Z, T ), c_member( tc_prod( Y, Y ), c_Product__Type_OPair
% 0.84/1.27 ( Y, Y, T, skol34( X, Y, Z, T ) ), X ) }.
% 0.84/1.27 { ! c_member( tc_prod( Y, Y ), c_Product__Type_OPair( Y, Y, T, U ), X ), !
% 0.84/1.27 hBOOL( hAPP( Z, T ) ), hBOOL( hAPP( Z, U ) ), alpha44( X, Y, Z, T ) }.
% 0.84/1.27 { ! c_member( tc_prod( T, T ), c_Product__Type_OPair( T, T, Z, Y ),
% 0.84/1.27 c_Transitive__Closure_Otrancl( T, X ) ), c_member( tc_prod( T, T ),
% 0.84/1.27 c_Product__Type_OPair( T, T, Z, Y ), c_Transitive__Closure_Ortrancl( T, X
% 0.84/1.27 ) ) }.
% 0.84/1.27 { ! c_member( tc_prod( T, T ), c_Product__Type_OPair( T, T, Z, Y ), X ),
% 0.84/1.27 hAPP( c_Recdef_Ocut( T, W, U, X, Y ), Z ) = hAPP( U, Z ) }.
% 0.84/1.27 { ! c_member( tc_prod( T, T ), c_Product__Type_OPair( T, T, Z, Y ), X ),
% 0.84/1.27 c_member( tc_prod( T, T ), c_Product__Type_OPair( T, T, Z, Y ),
% 0.84/1.27 c_Transitive__Closure_Otrancl( T, X ) ) }.
% 0.84/1.27 { ! c_member( tc_prod( Z, Z ), Y, X ), c_member( tc_prod( Z, Z ), Y,
% 0.84/1.27 c_Transitive__Closure_Otrancl( Z, X ) ) }.
% 0.84/1.27 { c_Transitive__Closure_Ortrancl( Y, c_Transitive__Closure_Otrancl( Y, X )
% 0.84/1.27 ) = c_Transitive__Closure_Ortrancl( Y, X ) }.
% 0.84/1.27 { c_Transitive__Closure_Otrancl( Y, c_Transitive__Closure_Ortrancl( Y, X )
% 0.84/1.27 ) = c_Transitive__Closure_Ortrancl( Y, X ) }.
% 0.84/1.27 { c_Relation_ODomain( Y, Y, c_Transitive__Closure_Otrancl( Y, X ) ) =
% 0.84/1.27 c_Relation_ODomain( Y, Y, X ) }.
% 0.84/1.27 { c_Relation_Otrans( Y, c_Transitive__Closure_Otrancl( Y, X ) ) }.
% 0.84/1.27 { ! c_Relation_Otrans( Y, X ), c_Transitive__Closure_Otrancl( Y, X ) = X }
% 0.84/1.27 .
% 0.84/1.27 { c_Relation_ORange( Y, Y, c_Transitive__Closure_Otrancl( Y, X ) ) =
% 0.84/1.27 c_Relation_ORange( Y, Y, X ) }.
% 0.84/1.27 { ! c_member( tc_prod( T, T ), c_Product__Type_OPair( T, T, Z, Y ), X ), !
% 0.84/1.27 c_member( tc_prod( T, T ), c_Product__Type_OPair( T, T, Y, U ), X ),
% 0.84/1.27 c_member( tc_prod( T, T ), c_Product__Type_OPair( T, T, Z, U ),
% 0.84/1.27 c_Transitive__Closure_Otrancl( T, X ) ) }.
% 0.84/1.27 { ! c_member( tc_prod( T, T ), c_Product__Type_OPair( T, T, Z, Y ), X ), !
% 0.84/1.27 c_member( tc_prod( T, T ), c_Product__Type_OPair( T, T, Y, U ),
% 0.84/1.27 c_Transitive__Closure_Otrancl( T, X ) ), c_member( tc_prod( T, T ),
% 0.84/1.27 c_Product__Type_OPair( T, T, Z, U ), c_Transitive__Closure_Otrancl( T, X
% 0.84/1.27 ) ) }.
% 0.84/1.27 { ! c_member( tc_prod( T, T ), c_Product__Type_OPair( T, T, Z, Y ),
% 0.84/1.27 c_Transitive__Closure_Otrancl( T, X ) ), ! c_member( tc_prod( T, T ),
% 0.84/1.27 c_Product__Type_OPair( T, T, Y, U ), X ), c_member( tc_prod( T, T ),
% 0.84/1.27 c_Product__Type_OPair( T, T, Z, U ), c_Transitive__Closure_Otrancl( T, X
% 0.84/1.27 ) ) }.
% 0.84/1.27 { ! c_member( tc_prod( T, T ), c_Product__Type_OPair( T, T, Z, Y ),
% 0.84/1.27 c_Transitive__Closure_Otrancl( T, X ) ), ! c_member( tc_prod( T, T ),
% 0.84/1.27 c_Product__Type_OPair( T, T, Y, U ), c_Transitive__Closure_Otrancl( T, X
% 0.84/1.27 ) ), c_member( tc_prod( T, T ), c_Product__Type_OPair( T, T, Z, U ),
% 0.84/1.27 c_Transitive__Closure_Otrancl( T, X ) ) }.
% 0.84/1.27 { ! c_member( tc_prod( T, T ), c_Product__Type_OPair( T, T, Z, Y ),
% 0.84/1.27 c_Transitive__Closure_Ortrancl( T, X ) ), Z = Y, alpha8( X, Y, Z, T ) }.
% 0.84/1.27 { ! Z = Y, c_member( tc_prod( T, T ), c_Product__Type_OPair( T, T, Z, Y ),
% 0.84/1.27 c_Transitive__Closure_Ortrancl( T, X ) ) }.
% 0.84/1.27 { ! alpha8( X, Y, Z, T ), c_member( tc_prod( T, T ), c_Product__Type_OPair
% 0.84/1.27 ( T, T, Z, Y ), c_Transitive__Closure_Ortrancl( T, X ) ) }.
% 0.84/1.27 { ! alpha8( X, Y, Z, T ), ! Z = Y }.
% 0.84/1.27 { ! alpha8( X, Y, Z, T ), c_member( tc_prod( T, T ), c_Product__Type_OPair
% 0.84/1.27 ( T, T, Z, Y ), c_Transitive__Closure_Otrancl( T, X ) ) }.
% 0.84/1.27 { Z = Y, ! c_member( tc_prod( T, T ), c_Product__Type_OPair( T, T, Z, Y ),
% 0.84/1.27 c_Transitive__Closure_Otrancl( T, X ) ), alpha8( X, Y, Z, T ) }.
% 0.84/1.27 { ! c_member( tc_prod( T, T ), c_Product__Type_OPair( T, T, Z, Y ), X ), !
% 0.84/1.27 c_member( tc_prod( T, T ), c_Product__Type_OPair( T, T, Y, U ),
% 0.84/1.27 c_Transitive__Closure_Ortrancl( T, X ) ), c_member( tc_prod( T, T ),
% 0.84/1.27 c_Product__Type_OPair( T, T, Z, U ), c_Transitive__Closure_Otrancl( T, X
% 0.84/1.27 ) ) }.
% 0.84/1.27 { ! c_member( tc_prod( T, T ), c_Product__Type_OPair( T, T, Z, Y ),
% 0.84/1.27 c_Transitive__Closure_Ortrancl( T, X ) ), Z = Y, ! Z = Y }.
% 0.84/1.27 { ! c_member( tc_prod( T, T ), c_Product__Type_OPair( T, T, Z, Y ),
% 0.84/1.27 c_Transitive__Closure_Ortrancl( T, X ) ), Z = Y, c_member( tc_prod( T, T
% 0.84/1.27 ), c_Product__Type_OPair( T, T, Z, Y ), c_Transitive__Closure_Otrancl( T
% 0.84/1.27 , X ) ) }.
% 0.84/1.27 { ! c_member( tc_prod( T, T ), c_Product__Type_OPair( T, T, Z, Y ),
% 0.84/1.27 c_Transitive__Closure_Ortrancl( T, X ) ), ! c_member( tc_prod( T, T ),
% 0.84/1.27 c_Product__Type_OPair( T, T, Y, U ), X ), c_member( tc_prod( T, T ),
% 0.84/1.27 c_Product__Type_OPair( T, T, Z, U ), c_Transitive__Closure_Otrancl( T, X
% 0.84/1.27 ) ) }.
% 0.84/1.27 { ! c_member( tc_prod( T, T ), c_Product__Type_OPair( T, T, Z, Y ),
% 0.84/1.27 c_Transitive__Closure_Otrancl( T, X ) ), ! c_member( tc_prod( T, T ),
% 0.84/1.27 c_Product__Type_OPair( T, T, Y, U ), c_Transitive__Closure_Ortrancl( T, X
% 0.84/1.27 ) ), c_member( tc_prod( T, T ), c_Product__Type_OPair( T, T, Z, U ),
% 0.84/1.27 c_Transitive__Closure_Otrancl( T, X ) ) }.
% 0.84/1.27 { ! c_member( tc_prod( T, T ), c_Product__Type_OPair( T, T, Z, Y ),
% 0.84/1.27 c_Transitive__Closure_Ortrancl( T, X ) ), ! c_member( tc_prod( T, T ),
% 0.84/1.27 c_Product__Type_OPair( T, T, Y, U ), c_Transitive__Closure_Otrancl( T, X
% 0.84/1.27 ) ), c_member( tc_prod( T, T ), c_Product__Type_OPair( T, T, Z, U ),
% 0.84/1.27 c_Transitive__Closure_Otrancl( T, X ) ) }.
% 0.84/1.27 { ! c_member( tc_prod( Z, Z ), c_Product__Type_OPair( Z, Z, Y, X ), T ),
% 0.84/1.27 hAPP( c_Recdef_Ocut( Z, U, W, T, X ), Y ) = hAPP( W, Y ) }.
% 0.84/1.27 { ! c_Recdef_Ocut( W, U, T, Z, Y ) = c_Recdef_Ocut( W, U, X, Z, Y ), !
% 0.84/1.27 c_member( tc_prod( W, W ), c_Product__Type_OPair( W, W, V0, Y ), Z ),
% 0.84/1.27 hAPP( T, V0 ) = hAPP( X, V0 ) }.
% 0.84/1.27 { ! hAPP( T, skol35( X, V0, V1, T, V2 ) ) = hAPP( X, skol35( X, V0, V1, T,
% 0.84/1.27 V2 ) ), c_Recdef_Ocut( W, U, T, Z, Y ) = c_Recdef_Ocut( W, U, X, Z, Y ) }
% 0.84/1.27 .
% 0.84/1.27 { c_member( tc_prod( W, W ), c_Product__Type_OPair( W, W, skol35( X, Y, Z,
% 0.84/1.27 T, W ), Y ), Z ), c_Recdef_Ocut( W, U, T, Z, Y ) = c_Recdef_Ocut( W, U, X
% 0.84/1.27 , Z, Y ) }.
% 0.84/1.27 { ! c_member( tc_prod( T, T ), c_Product__Type_OPair( T, T, Z, Y ),
% 0.84/1.27 c_Transitive__Closure_Otrancl( T, X ) ), c_member( tc_prod( T, T ),
% 0.84/1.27 c_Product__Type_OPair( T, T, Z, skol36( X, U, Z, T ) ),
% 0.84/1.27 c_Transitive__Closure_Ortrancl( T, X ) ) }.
% 0.84/1.27 { ! c_member( tc_prod( T, T ), c_Product__Type_OPair( T, T, Z, Y ),
% 0.84/1.27 c_Transitive__Closure_Otrancl( T, X ) ), c_member( tc_prod( T, T ),
% 0.84/1.27 c_Product__Type_OPair( T, T, skol36( X, Y, Z, T ), Y ), X ) }.
% 0.84/1.27 { ! c_member( tc_prod( T, T ), c_Product__Type_OPair( T, T, Z, Y ),
% 0.84/1.27 c_Transitive__Closure_Otrancl( T, X ) ), c_member( tc_prod( T, T ),
% 0.84/1.27 c_Product__Type_OPair( T, T, Z, skol37( X, U, Z, T ) ), X ) }.
% 0.84/1.27 { ! c_member( tc_prod( T, T ), c_Product__Type_OPair( T, T, Z, Y ),
% 0.84/1.27 c_Transitive__Closure_Otrancl( T, X ) ), c_member( tc_prod( T, T ),
% 0.84/1.27 c_Product__Type_OPair( T, T, skol37( X, Y, Z, T ), Y ),
% 0.84/1.27 c_Transitive__Closure_Ortrancl( T, X ) ) }.
% 0.84/1.27 { ! c_Wellfounded_Oacyclic( Y, X ), ! c_member( tc_prod( Y, Y ),
% 0.84/1.27 c_Product__Type_OPair( Y, Y, Z, Z ), c_Transitive__Closure_Otrancl( Y, X
% 0.84/1.27 ) ) }.
% 0.84/1.27 { c_member( tc_prod( Y, Y ), c_Product__Type_OPair( Y, Y, skol38( X, Y ),
% 0.84/1.27 skol38( X, Y ) ), c_Transitive__Closure_Otrancl( Y, X ) ),
% 0.84/1.27 c_Wellfounded_Oacyclic( Y, X ) }.
% 0.84/1.27 { c_member( tc_prod( Y, Y ), c_Product__Type_OPair( Y, Y, skol39( X, Y ),
% 0.84/1.27 skol39( X, Y ) ), c_Transitive__Closure_Otrancl( Y, X ) ), ! c_member(
% 0.84/1.27 tc_prod( Y, Y ), c_Product__Type_OPair( Y, Y, T, Z ), X ), ! T = Z }.
% 0.84/1.27 { ! c_member( tc_prod( T, T ), c_Product__Type_OPair( T, T, Z, Y ),
% 0.84/1.27 c_Transitive__Closure_Otrancl( T, X ) ), c_member( tc_prod( T, T ),
% 0.84/1.27 c_Product__Type_OPair( T, T, Z, Y ), X ), c_member( tc_prod( T, T ),
% 0.84/1.27 c_Product__Type_OPair( T, T, Z, skol40( X, U, Z, T ) ), X ) }.
% 0.84/1.27 { ! c_member( tc_prod( T, T ), c_Product__Type_OPair( T, T, Z, Y ),
% 0.84/1.27 c_Transitive__Closure_Otrancl( T, X ) ), c_member( tc_prod( T, T ),
% 0.84/1.27 c_Product__Type_OPair( T, T, Z, Y ), X ), c_member( tc_prod( T, T ),
% 0.84/1.27 c_Product__Type_OPair( T, T, skol40( X, Y, Z, T ), Y ),
% 0.84/1.27 c_Transitive__Closure_Otrancl( T, X ) ) }.
% 0.84/1.27 { ! c_member( tc_prod( T, T ), c_Product__Type_OPair( T, T, Z, Y ),
% 0.84/1.27 c_Transitive__Closure_Otrancl( T, X ) ), c_member( tc_prod( T, T ),
% 0.84/1.27 c_Product__Type_OPair( T, T, Z, Y ), X ), c_member( tc_prod( T, T ),
% 0.84/1.27 c_Product__Type_OPair( T, T, Z, skol41( X, U, Z, T ) ),
% 0.84/1.27 c_Transitive__Closure_Otrancl( T, X ) ) }.
% 0.84/1.27 { ! c_member( tc_prod( T, T ), c_Product__Type_OPair( T, T, Z, Y ),
% 0.84/1.27 c_Transitive__Closure_Otrancl( T, X ) ), c_member( tc_prod( T, T ),
% 0.84/1.27 c_Product__Type_OPair( T, T, Z, Y ), X ), c_member( tc_prod( T, T ),
% 0.84/1.27 c_Product__Type_OPair( T, T, skol41( X, Y, Z, T ), Y ), X ) }.
% 0.84/1.27 { c_Nitpick_Owf__wfrec_H( U, T, Z, Y, X ) = hAPP( hAPP( Y, c_Recdef_Ocut( U
% 0.84/1.27 , T, c_Nitpick_Owf__wfrec( U, T, Z, Y ), Z, X ) ), X ) }.
% 0.84/1.27 { c_member( tc_prod( Y, Y ), c_Product__Type_OPair( Y, Y, X, X ),
% 0.84/1.27 c_Relation_OId( Y ) ) }.
% 0.84/1.27 { c_Relation_Otrans( X, c_Relation_OId( X ) ) }.
% 0.84/1.27 { c_Relation_Osingle__valued( X, X, c_Relation_OId( X ) ) }.
% 0.84/1.27 { ! c_member( tc_prod( Z, Z ), c_Product__Type_OPair( Z, Z, Y, X ),
% 0.84/1.27 c_Relation_OId( Z ) ), Y = X }.
% 0.84/1.27 { ! Y = X, c_member( tc_prod( Z, Z ), c_Product__Type_OPair( Z, Z, Y, X ),
% 0.84/1.27 c_Relation_OId( Z ) ) }.
% 0.84/1.27 { c_member( tc_prod( Y, Y ), c_Product__Type_OPair( Y, Y, skol42( X, Y ),
% 0.84/1.27 skol42( X, Y ) ), c_Transitive__Closure_Otrancl( Y, X ) ),
% 0.84/1.27 c_Wellfounded_Oacyclic( Y, X ) }.
% 0.84/1.27 { ! c_member( tc_prod( Y, Y ), X, c_Relation_OId( Y ) ), X =
% 0.84/1.27 c_Product__Type_OPair( Y, Y, skol43( X, Y ), skol43( X, Y ) ) }.
% 0.84/1.27 { ! c_Wellfounded_Oacyclic( T, c_Set_Oinsert( tc_prod( T, T ),
% 0.84/1.27 c_Product__Type_OPair( T, T, Z, Y ), X ) ), c_Wellfounded_Oacyclic( T, X
% 0.84/1.27 ) }.
% 0.84/1.27 { ! c_Wellfounded_Oacyclic( T, c_Set_Oinsert( tc_prod( T, T ),
% 0.84/1.27 c_Product__Type_OPair( T, T, Z, Y ), X ) ), ! c_member( tc_prod( T, T ),
% 0.84/1.27 c_Product__Type_OPair( T, T, Y, Z ), c_Transitive__Closure_Ortrancl( T, X
% 0.84/1.27 ) ) }.
% 0.84/1.27 { ! c_Wellfounded_Oacyclic( T, X ), c_member( tc_prod( T, T ),
% 0.84/1.27 c_Product__Type_OPair( T, T, Y, Z ), c_Transitive__Closure_Ortrancl( T, X
% 0.84/1.27 ) ), c_Wellfounded_Oacyclic( T, c_Set_Oinsert( tc_prod( T, T ),
% 0.84/1.27 c_Product__Type_OPair( T, T, Z, Y ), X ) ) }.
% 0.84/1.27 { ! c_Wellfounded_Oacyclic( Y, X ), c_Relation_Oantisym( Y,
% 0.84/1.27 c_Transitive__Closure_Ortrancl( Y, X ) ) }.
% 0.84/1.27 { c_Transitive__Closure_Otrancl( Y,
% 0.84/1.27 c_Lattices_Osemilattice__sup__class_Osup( tc_fun( tc_prod( Y, Y ),
% 0.84/1.27 tc_HOL_Obool ), X, c_Relation_OId( Y ) ) ) =
% 0.84/1.27 c_Transitive__Closure_Ortrancl( Y, X ) }.
% 0.84/1.27 { c_Lattices_Osemilattice__sup__class_Osup( tc_fun( tc_prod( Y, Y ),
% 0.84/1.27 tc_HOL_Obool ), c_Transitive__Closure_Otrancl( Y, X ), c_Relation_OId( Y
% 0.84/1.27 ) ) = c_Transitive__Closure_Ortrancl( Y, X ) }.
% 0.84/1.27 { ! c_Relation_Oantisym( Y, X ), ! c_member( tc_prod( Y, Y ),
% 0.84/1.27 c_Product__Type_OPair( Y, Y, T, Z ), X ), ! c_member( tc_prod( Y, Y ),
% 0.84/1.27 c_Product__Type_OPair( Y, Y, Z, T ), X ), T = Z }.
% 0.84/1.27 { ! c_member( T, Z, c_Set_Oinsert( T, Y, X ) ), Z = Y, c_member( T, Z, X )
% 0.84/1.27 }.
% 0.84/1.27 { ! c_member( T, Z, Y ), c_member( T, Z, c_Set_Oinsert( T, X, Y ) ) }.
% 0.84/1.27 { ! Z = X, c_member( T, Z, c_Set_Oinsert( T, X, Y ) ) }.
% 0.84/1.27 { ! c_member( T, Z, c_Lattices_Osemilattice__sup__class_Osup( tc_fun( T,
% 0.84/1.27 tc_HOL_Obool ), Y, X ) ), c_member( T, Z, Y ), c_member( T, Z, X ) }.
% 0.84/1.27 { ! c_member( T, Z, Y ), c_member( T, Z,
% 0.84/1.27 c_Lattices_Osemilattice__sup__class_Osup( tc_fun( T, tc_HOL_Obool ), X, Y
% 0.84/1.27 ) ) }.
% 0.84/1.27 { ! c_member( T, Z, X ), c_member( T, Z,
% 0.84/1.27 c_Lattices_Osemilattice__sup__class_Osup( tc_fun( T, tc_HOL_Obool ), X, Y
% 0.84/1.27 ) ) }.
% 0.84/1.27 { ! c_Relation_Oantisym( Y, c_Lattices_Osemilattice__sup__class_Osup(
% 0.84/1.27 tc_fun( tc_prod( Y, Y ), tc_HOL_Obool ), X, c_Relation_OId( Y ) ) ),
% 0.84/1.27 c_Relation_Oantisym( Y, X ) }.
% 0.84/1.27 { ! c_Relation_Oantisym( Y, X ), c_Relation_Oantisym( Y,
% 0.84/1.27 c_Lattices_Osemilattice__sup__class_Osup( tc_fun( tc_prod( Y, Y ),
% 0.84/1.27 tc_HOL_Obool ), X, c_Relation_OId( Y ) ) ) }.
% 0.84/1.27 { c_Lattices_Osemilattice__sup__class_Osup( tc_fun( Y, tc_HOL_Obool ), X, X
% 0.84/1.27 ) = X }.
% 0.84/1.27 { c_Lattices_Osemilattice__sup__class_Osup( tc_fun( Z, tc_HOL_Obool ), Y, X
% 0.84/1.27 ) = c_Lattices_Osemilattice__sup__class_Osup( tc_fun( Z, tc_HOL_Obool )
% 0.84/1.27 , X, Y ) }.
% 0.84/1.27 { c_Set_Oinsert( Z, Y, c_Set_Oinsert( Z, Y, X ) ) = c_Set_Oinsert( Z, Y, X
% 0.84/1.27 ) }.
% 0.84/1.27 { c_Lattices_Osemilattice__sup__class_Osup( tc_fun( Z, tc_HOL_Obool ), Y,
% 0.84/1.27 c_Lattices_Osemilattice__sup__class_Osup( tc_fun( Z, tc_HOL_Obool ), Y, X
% 0.84/1.27 ) ) = c_Lattices_Osemilattice__sup__class_Osup( tc_fun( Z, tc_HOL_Obool
% 0.84/1.27 ), Y, X ) }.
% 0.84/1.27 { c_Set_Oinsert( T, Z, c_Set_Oinsert( T, Y, X ) ) = c_Set_Oinsert( T, Y,
% 0.84/1.27 c_Set_Oinsert( T, Z, X ) ) }.
% 0.84/1.27 { c_Lattices_Osemilattice__sup__class_Osup( tc_fun( T, tc_HOL_Obool ), Z,
% 0.84/1.27 c_Set_Oinsert( T, Y, X ) ) = c_Set_Oinsert( T, Y,
% 0.84/1.27 c_Lattices_Osemilattice__sup__class_Osup( tc_fun( T, tc_HOL_Obool ), Z, X
% 0.84/1.27 ) ) }.
% 0.84/1.27 { c_Lattices_Osemilattice__sup__class_Osup( tc_fun( T, tc_HOL_Obool ), Z,
% 0.84/1.27 c_Lattices_Osemilattice__sup__class_Osup( tc_fun( T, tc_HOL_Obool ), Y, X
% 0.84/1.27 ) ) = c_Lattices_Osemilattice__sup__class_Osup( tc_fun( T, tc_HOL_Obool
% 0.84/1.27 ), Y, c_Lattices_Osemilattice__sup__class_Osup( tc_fun( T, tc_HOL_Obool
% 0.84/1.27 ), Z, X ) ) }.
% 0.84/1.27 { c_Lattices_Osemilattice__sup__class_Osup( tc_fun( T, tc_HOL_Obool ),
% 0.84/1.27 c_Set_Oinsert( T, Z, Y ), X ) = c_Set_Oinsert( T, Z,
% 0.84/1.27 c_Lattices_Osemilattice__sup__class_Osup( tc_fun( T, tc_HOL_Obool ), Y, X
% 0.84/1.27 ) ) }.
% 0.84/1.27 { c_Lattices_Osemilattice__sup__class_Osup( tc_fun( T, tc_HOL_Obool ),
% 0.84/1.27 c_Lattices_Osemilattice__sup__class_Osup( tc_fun( T, tc_HOL_Obool ), Z, Y
% 0.84/1.27 ), X ) = c_Lattices_Osemilattice__sup__class_Osup( tc_fun( T,
% 0.84/1.27 tc_HOL_Obool ), Z, c_Lattices_Osemilattice__sup__class_Osup( tc_fun( T,
% 0.84/1.27 tc_HOL_Obool ), Y, X ) ) }.
% 0.84/1.27 { ! alpha30( X, Y, Z, T ), alpha9( X, Z, T ), alpha20( X, Y, T ) }.
% 0.84/1.27 { ! alpha9( X, Z, T ), alpha30( X, Y, Z, T ) }.
% 0.84/1.27 { ! alpha20( X, Y, T ), alpha30( X, Y, Z, T ) }.
% 0.84/1.27 { ! alpha30( X, Y, Z, T ), hBOOL( hAPP( X, skol44( X, U, W, V0 ) ) ) }.
% 0.84/1.27 { ! alpha30( X, Y, Z, T ), c_member( T, skol44( X, Y, Z, T ),
% 0.84/1.27 c_Lattices_Osemilattice__sup__class_Osup( tc_fun( T, tc_HOL_Obool ), Z, Y
% 0.84/1.27 ) ) }.
% 0.84/1.27 { ! c_member( T, U, c_Lattices_Osemilattice__sup__class_Osup( tc_fun( T,
% 0.84/1.27 tc_HOL_Obool ), Z, Y ) ), ! hBOOL( hAPP( X, U ) ), alpha30( X, Y, Z, T )
% 0.84/1.27 }.
% 0.84/1.27 { ! alpha20( X, Y, Z ), hBOOL( hAPP( X, skol45( X, T, U ) ) ) }.
% 0.84/1.27 { ! alpha20( X, Y, Z ), c_member( Z, skol45( X, Y, Z ), Y ) }.
% 0.84/1.27 { ! c_member( Z, T, Y ), ! hBOOL( hAPP( X, T ) ), alpha20( X, Y, Z ) }.
% 0.84/1.27 { ! alpha9( X, Y, Z ), hBOOL( hAPP( X, skol46( X, T, U ) ) ) }.
% 0.84/1.27 { ! alpha9( X, Y, Z ), c_member( Z, skol46( X, Y, Z ), Y ) }.
% 0.84/1.27 { ! c_member( Z, T, Y ), ! hBOOL( hAPP( X, T ) ), alpha9( X, Y, Z ) }.
% 0.84/1.27 { ! alpha31( X, Y, Z, T ), alpha10( X, Z, T ) }.
% 0.84/1.27 { ! alpha31( X, Y, Z, T ), alpha21( X, Y, T ) }.
% 0.84/1.27 { ! alpha10( X, Z, T ), ! alpha21( X, Y, T ), alpha31( X, Y, Z, T ) }.
% 0.84/1.27 { ! alpha31( X, Y, Z, T ), ! c_member( T, U,
% 0.84/1.27 c_Lattices_Osemilattice__sup__class_Osup( tc_fun( T, tc_HOL_Obool ), Z, Y
% 0.84/1.27 ) ), hBOOL( hAPP( X, U ) ) }.
% 0.84/1.27 { ! hBOOL( hAPP( X, skol47( X, U, W, V0 ) ) ), alpha31( X, Y, Z, T ) }.
% 0.84/1.27 { c_member( T, skol47( X, Y, Z, T ),
% 0.84/1.27 c_Lattices_Osemilattice__sup__class_Osup( tc_fun( T, tc_HOL_Obool ), Z, Y
% 0.84/1.27 ) ), alpha31( X, Y, Z, T ) }.
% 0.84/1.27 { ! alpha21( X, Y, Z ), ! c_member( Z, T, Y ), hBOOL( hAPP( X, T ) ) }.
% 0.84/1.27 { ! hBOOL( hAPP( X, skol48( X, T, U ) ) ), alpha21( X, Y, Z ) }.
% 0.84/1.27 { c_member( Z, skol48( X, Y, Z ), Y ), alpha21( X, Y, Z ) }.
% 0.84/1.27 { ! alpha10( X, Y, Z ), ! c_member( Z, T, Y ), hBOOL( hAPP( X, T ) ) }.
% 0.84/1.27 { ! hBOOL( hAPP( X, skol49( X, T, U ) ) ), alpha10( X, Y, Z ) }.
% 0.84/1.27 { c_member( Z, skol49( X, Y, Z ), Y ), alpha10( X, Y, Z ) }.
% 0.84/1.27 { ! hBOOL( hAPP( c_Set_Oinsert( T, Z, Y ), X ) ), Z = X, hBOOL( hAPP( Y, X
% 0.84/1.27 ) ) }.
% 0.84/1.27 { ! Z = X, hBOOL( hAPP( c_Set_Oinsert( T, Z, Y ), X ) ) }.
% 0.84/1.27 { ! hBOOL( hAPP( Y, X ) ), hBOOL( hAPP( c_Set_Oinsert( T, Z, Y ), X ) ) }.
% 0.84/1.27 { ! c_Relation_Orefl__on( Z, Y, X ), ! c_Relation_Orefl__on( Z, U, T ),
% 0.84/1.27 c_Relation_Orefl__on( Z, c_Lattices_Osemilattice__sup__class_Osup( tc_fun
% 0.84/1.27 ( Z, tc_HOL_Obool ), Y, U ), c_Lattices_Osemilattice__sup__class_Osup(
% 0.84/1.27 tc_fun( tc_prod( Z, Z ), tc_HOL_Obool ), X, T ) ) }.
% 0.84/1.27 { c_Relation_ORange( T, Z, c_Lattices_Osemilattice__sup__class_Osup( tc_fun
% 0.84/1.27 ( tc_prod( T, Z ), tc_HOL_Obool ), Y, X ) ) =
% 0.84/1.27 c_Lattices_Osemilattice__sup__class_Osup( tc_fun( Z, tc_HOL_Obool ),
% 0.84/1.27 c_Relation_ORange( T, Z, Y ), c_Relation_ORange( T, Z, X ) ) }.
% 0.84/1.27 { c_Relation_ODomain( T, Z, c_Lattices_Osemilattice__sup__class_Osup(
% 0.84/1.27 tc_fun( tc_prod( T, Z ), tc_HOL_Obool ), Y, X ) ) =
% 0.84/1.27 c_Lattices_Osemilattice__sup__class_Osup( tc_fun( T, tc_HOL_Obool ),
% 0.84/1.27 c_Relation_ODomain( T, Z, Y ), c_Relation_ODomain( T, Z, X ) ) }.
% 0.84/1.27 { c_Relation_ODomain( U, T, c_Set_Oinsert( tc_prod( U, T ),
% 0.84/1.27 c_Product__Type_OPair( U, T, Z, Y ), X ) ) = c_Set_Oinsert( U, Z,
% 0.84/1.27 c_Relation_ODomain( U, T, X ) ) }.
% 0.84/1.27 { c_Relation_ORange( U, T, c_Set_Oinsert( tc_prod( U, T ),
% 0.84/1.27 c_Product__Type_OPair( U, T, Z, Y ), X ) ) = c_Set_Oinsert( T, Y,
% 0.84/1.27 c_Relation_ORange( U, T, X ) ) }.
% 0.84/1.27 { ! c_member( T, Z, c_Lattices_Osemilattice__sup__class_Osup( tc_fun( T,
% 0.84/1.27 tc_HOL_Obool ), Y, X ) ), c_member( T, Z, Y ), c_member( T, Z, X ) }.
% 0.84/1.27 { ! c_member( T, Z, Y ), c_member( T, Z,
% 0.84/1.27 c_Lattices_Osemilattice__sup__class_Osup( tc_fun( T, tc_HOL_Obool ), Y, X
% 0.84/1.27 ) ) }.
% 0.84/1.27 { ! c_member( T, Z, X ), c_member( T, Z,
% 0.84/1.27 c_Lattices_Osemilattice__sup__class_Osup( tc_fun( T, tc_HOL_Obool ), Y, X
% 0.84/1.27 ) ) }.
% 0.84/1.27 { ! c_member( Z, Y, X ), c_member( Z, Y,
% 0.84/1.27 c_Lattices_Osemilattice__sup__class_Osup( tc_fun( Z, tc_HOL_Obool ), X, T
% 0.84/1.27 ) ) }.
% 0.84/1.27 { ! c_member( Z, Y, X ), c_member( Z, Y,
% 0.84/1.27 c_Lattices_Osemilattice__sup__class_Osup( tc_fun( Z, tc_HOL_Obool ), T, X
% 0.84/1.27 ) ) }.
% 0.84/1.27 { c_member( Z, Y, c_Set_Oinsert( Z, Y, X ) ) }.
% 0.84/1.27 { ! c_member( T, Z, c_Set_Oinsert( T, Y, X ) ), Z = Y, c_member( T, Z, X )
% 0.84/1.27 }.
% 0.84/1.27 { ! Z = Y, c_member( T, Z, c_Set_Oinsert( T, Y, X ) ) }.
% 0.84/1.27 { ! c_member( T, Z, X ), c_member( T, Z, c_Set_Oinsert( T, Y, X ) ) }.
% 0.84/1.27 { c_member( Z, Y, X ), c_member( Z, Y, T ), ! c_Set_Oinsert( Z, Y, X ) =
% 0.84/1.27 c_Set_Oinsert( Z, Y, T ), X = T }.
% 0.84/1.27 { c_member( Z, Y, X ), c_member( Z, Y, T ), ! X = T, c_Set_Oinsert( Z, Y, X
% 0.84/1.27 ) = c_Set_Oinsert( Z, Y, T ) }.
% 0.84/1.27 { ! c_member( Z, Y, X ), c_member( Z, Y, c_Set_Oinsert( Z, T, X ) ) }.
% 0.84/1.27 { ! c_member( Z, Y, X ), c_Set_Oinsert( Z, Y, X ) = X }.
% 0.84/1.27 { c_Transitive__Closure_Ortrancl( Z,
% 0.84/1.27 c_Lattices_Osemilattice__sup__class_Osup( tc_fun( tc_prod( Z, Z ),
% 0.84/1.27 tc_HOL_Obool ), c_Transitive__Closure_Ortrancl( Z, Y ),
% 0.84/1.27 c_Transitive__Closure_Ortrancl( Z, X ) ) ) =
% 0.84/1.27 c_Transitive__Closure_Ortrancl( Z,
% 0.84/1.27 c_Lattices_Osemilattice__sup__class_Osup( tc_fun( tc_prod( Z, Z ),
% 0.84/1.27 tc_HOL_Obool ), Y, X ) ) }.
% 0.84/1.27 { c_Relation_Oantisym( X, c_Relation_OId( X ) ) }.
% 0.84/1.27 { ! c_member( tc_prod( T, T ), Z, c_Transitive__Closure_Ortrancl( T, Y ) )
% 0.84/1.27 , c_member( tc_prod( T, T ), Z, c_Transitive__Closure_Ortrancl( T,
% 0.84/1.27 c_Lattices_Osemilattice__sup__class_Osup( tc_fun( tc_prod( T, T ),
% 0.84/1.27 tc_HOL_Obool ), Y, X ) ) ) }.
% 0.84/1.27 { ! c_member( tc_prod( T, T ), Z, c_Transitive__Closure_Ortrancl( T, X ) )
% 0.84/1.27 , c_member( tc_prod( T, T ), Z, c_Transitive__Closure_Ortrancl( T,
% 0.84/1.27 c_Lattices_Osemilattice__sup__class_Osup( tc_fun( tc_prod( T, T ),
% 0.84/1.27 tc_HOL_Obool ), Y, X ) ) ) }.
% 0.84/1.27 { c_Relation_Oantisym( Y, c_Relation_OId__on( Y, X ) ) }.
% 0.84/1.27 { c_Transitive__Closure_Ortrancl( Y,
% 0.84/1.27 c_Lattices_Osemilattice__sup__class_Osup( tc_fun( tc_prod( Y, Y ),
% 0.84/1.27 tc_HOL_Obool ), X, c_Relation_OId( Y ) ) ) =
% 0.84/1.27 c_Transitive__Closure_Ortrancl( Y, X ) }.
% 0.84/1.27 { c_Lattices_Osemilattice__sup__class_Osup( tc_fun( tc_prod( Y, Y ),
% 0.84/1.27 tc_HOL_Obool ), c_Transitive__Closure_Ortrancl( Y, X ), c_Relation_OId( Y
% 0.84/1.27 ) ) = c_Transitive__Closure_Ortrancl( Y, X ) }.
% 0.84/1.27 { ! c_Relation_Otrans( Y, X ), c_Relation_Otrans( Y,
% 0.84/1.27 c_Lattices_Osemilattice__sup__class_Osup( tc_fun( tc_prod( Y, Y ),
% 0.84/1.27 tc_HOL_Obool ), X, c_Relation_OId( Y ) ) ) }.
% 0.84/1.27 { ! c_Relation_Oantisym( Y, X ), ! c_member( tc_prod( Y, Y ),
% 0.84/1.27 c_Product__Type_OPair( Y, Y, Z, T ), X ), alpha11( X, Y, Z, T ) }.
% 0.84/1.27 { c_member( tc_prod( Y, Y ), c_Product__Type_OPair( Y, Y, skol50( X, Y ),
% 0.84/1.27 skol82( X, Y ) ), X ), c_Relation_Oantisym( Y, X ) }.
% 0.84/1.27 { ! alpha11( X, Y, skol50( X, Y ), skol82( X, Y ) ), c_Relation_Oantisym( Y
% 0.84/1.27 , X ) }.
% 0.84/1.27 { ! alpha11( X, Y, Z, T ), ! c_member( tc_prod( Y, Y ),
% 0.84/1.27 c_Product__Type_OPair( Y, Y, T, Z ), X ), Z = T }.
% 0.84/1.27 { c_member( tc_prod( Y, Y ), c_Product__Type_OPair( Y, Y, T, Z ), X ),
% 0.84/1.27 alpha11( X, Y, Z, T ) }.
% 0.84/1.27 { ! Z = T, alpha11( X, Y, Z, T ) }.
% 0.84/1.27 { ! hBOOL( hAPP( Z, Y ) ), hBOOL( hAPP(
% 0.84/1.27 c_Lattices_Osemilattice__sup__class_Osup( tc_fun( T, tc_HOL_Obool ), X, Z
% 0.84/1.27 ), Y ) ) }.
% 0.84/1.27 { ! hBOOL( hAPP( X, Y ) ), hBOOL( hAPP(
% 0.84/1.27 c_Lattices_Osemilattice__sup__class_Osup( tc_fun( T, tc_HOL_Obool ), X, Z
% 0.84/1.27 ), Y ) ) }.
% 0.84/1.27 { ! hBOOL( hAPP( c_Lattices_Osemilattice__sup__class_Osup( tc_fun( T,
% 0.84/1.27 tc_HOL_Obool ), Z, Y ), X ) ), hBOOL( hAPP( Z, X ) ), hBOOL( hAPP( Y, X )
% 0.84/1.27 ) }.
% 0.84/1.27 { ! class_Lattices_Olattice( X ), hAPP(
% 0.84/1.27 c_Lattices_Osemilattice__sup__class_Osup( tc_fun( U, X ), T, Z ), Y ) =
% 0.84/1.27 c_Lattices_Osemilattice__sup__class_Osup( X, hAPP( T, Y ), hAPP( Z, Y ) )
% 0.84/1.27 }.
% 0.84/1.27 { ! c_Order__Relation_Opartial__order__on( Z, Y, X ),
% 0.84/1.27 c_Order__Relation_Opreorder__on( Z, Y, X ) }.
% 0.84/1.27 { ! c_Order__Relation_Opartial__order__on( Z, Y, X ), c_Relation_Oantisym(
% 0.84/1.27 Z, X ) }.
% 0.84/1.27 { ! c_Order__Relation_Opreorder__on( Z, Y, X ), ! c_Relation_Oantisym( Z, X
% 0.84/1.27 ), c_Order__Relation_Opartial__order__on( Z, Y, X ) }.
% 0.84/1.27 { ! c_member( tc_prod( U, U ), c_Product__Type_OPair( U, U, T, Z ),
% 0.84/1.27 c_Transitive__Closure_Ortrancl( U,
% 0.84/1.27 c_Lattices_Osemilattice__sup__class_Osup( tc_fun( tc_prod( U, U ),
% 0.84/1.27 tc_HOL_Obool ), Y, X ) ) ), c_member( tc_prod( U, U ),
% 0.84/1.27 c_Product__Type_OPair( U, U, skol83( X, U, W, V0 ), skol51( X, W, V0, U )
% 0.84/1.27 ), X ), c_member( tc_prod( U, U ), c_Product__Type_OPair( U, U, T, Z ),
% 0.84/1.27 c_Transitive__Closure_Ortrancl( U, Y ) ) }.
% 0.84/1.27 { ! c_member( tc_prod( U, U ), c_Product__Type_OPair( U, U, T, Z ),
% 0.84/1.27 c_Transitive__Closure_Ortrancl( U,
% 0.84/1.27 c_Lattices_Osemilattice__sup__class_Osup( tc_fun( tc_prod( U, U ),
% 0.84/1.27 tc_HOL_Obool ), Y, X ) ) ), ! skol83( X, U, W, V0 ) = skol51( X, W, V0, U
% 0.84/1.27 ), c_member( tc_prod( U, U ), c_Product__Type_OPair( U, U, T, Z ),
% 0.84/1.27 c_Transitive__Closure_Ortrancl( U, Y ) ) }.
% 0.84/1.27 { ! c_member( tc_prod( U, U ), c_Product__Type_OPair( U, U, T, Z ),
% 0.84/1.27 c_Transitive__Closure_Ortrancl( U,
% 0.84/1.27 c_Lattices_Osemilattice__sup__class_Osup( tc_fun( tc_prod( U, U ),
% 0.84/1.27 tc_HOL_Obool ), Y, X ) ) ), c_member( tc_prod( U, U ),
% 0.84/1.27 c_Product__Type_OPair( U, U, skol51( X, Y, Z, U ), Z ),
% 0.84/1.27 c_Transitive__Closure_Ortrancl( U, Y ) ), c_member( tc_prod( U, U ),
% 0.84/1.27 c_Product__Type_OPair( U, U, T, Z ), c_Transitive__Closure_Ortrancl( U, Y
% 0.84/1.27 ) ) }.
% 0.84/1.27 { ! c_member( tc_prod( U, U ), c_Product__Type_OPair( U, U, T, Z ),
% 0.84/1.27 c_Transitive__Closure_Ortrancl( U,
% 0.84/1.27 c_Lattices_Osemilattice__sup__class_Osup( tc_fun( tc_prod( U, U ),
% 0.84/1.27 tc_HOL_Obool ), Y, X ) ) ), c_member( tc_prod( U, U ),
% 0.84/1.27 c_Product__Type_OPair( U, U, skol52( X, W, V0, U ), skol84( X, U, W, V0 )
% 0.84/1.27 ), X ), c_member( tc_prod( U, U ), c_Product__Type_OPair( U, U, T, Z ),
% 0.84/1.27 c_Transitive__Closure_Ortrancl( U, Y ) ) }.
% 0.84/1.27 { ! c_member( tc_prod( U, U ), c_Product__Type_OPair( U, U, T, Z ),
% 0.84/1.27 c_Transitive__Closure_Ortrancl( U,
% 0.84/1.27 c_Lattices_Osemilattice__sup__class_Osup( tc_fun( tc_prod( U, U ),
% 0.84/1.27 tc_HOL_Obool ), Y, X ) ) ), ! skol52( X, W, V0, U ) = skol84( X, U, W, V0
% 0.84/1.27 ), c_member( tc_prod( U, U ), c_Product__Type_OPair( U, U, T, Z ),
% 0.84/1.27 c_Transitive__Closure_Ortrancl( U, Y ) ) }.
% 0.84/1.27 { ! c_member( tc_prod( U, U ), c_Product__Type_OPair( U, U, T, Z ),
% 0.84/1.27 c_Transitive__Closure_Ortrancl( U,
% 0.84/1.27 c_Lattices_Osemilattice__sup__class_Osup( tc_fun( tc_prod( U, U ),
% 0.84/1.27 tc_HOL_Obool ), Y, X ) ) ), c_member( tc_prod( U, U ),
% 0.84/1.27 c_Product__Type_OPair( U, U, T, skol52( X, Y, T, U ) ),
% 0.84/1.27 c_Transitive__Closure_Ortrancl( U, Y ) ), c_member( tc_prod( U, U ),
% 0.84/1.27 c_Product__Type_OPair( U, U, T, Z ), c_Transitive__Closure_Ortrancl( U, Y
% 0.84/1.27 ) ) }.
% 0.84/1.27 { ! c_Wellfounded_Owf( T, c_Set_Oinsert( tc_prod( T, T ),
% 0.84/1.27 c_Product__Type_OPair( T, T, Z, Y ), X ) ), c_Wellfounded_Owf( T, X ) }.
% 0.84/1.27 { ! c_Wellfounded_Owf( T, c_Set_Oinsert( tc_prod( T, T ),
% 0.84/1.27 c_Product__Type_OPair( T, T, Z, Y ), X ) ), ! c_member( tc_prod( T, T ),
% 0.84/1.27 c_Product__Type_OPair( T, T, Y, Z ), c_Transitive__Closure_Ortrancl( T, X
% 0.84/1.27 ) ) }.
% 0.84/1.27 { ! c_Wellfounded_Owf( T, X ), c_member( tc_prod( T, T ),
% 0.84/1.27 c_Product__Type_OPair( T, T, Y, Z ), c_Transitive__Closure_Ortrancl( T, X
% 0.84/1.27 ) ), c_Wellfounded_Owf( T, c_Set_Oinsert( tc_prod( T, T ),
% 0.84/1.27 c_Product__Type_OPair( T, T, Z, Y ), X ) ) }.
% 0.84/1.27 { ! c_Wellfounded_Owf( Y, X ), c_Wellfounded_Owf( T, hAPP(
% 0.84/1.27 c_Relation_Oinv__image( Y, T, X ), Z ) ) }.
% 0.84/1.27 { ! c_Wellfounded_Owf( Y, X ), ! c_Wellfounded_Owf( T, Z ),
% 0.84/1.27 c_Wellfounded_Owf( tc_prod( Y, T ), c_Wellfounded_Olex__prod( Y, T, X, Z
% 0.84/1.27 ) ) }.
% 0.84/1.27 { ! c_Wellfounded_Owf( Y, X ), c_Wellfounded_Owf( Y,
% 0.84/1.27 c_Transitive__Closure_Otrancl( Y, X ) ) }.
% 0.84/1.27 { ! c_Wellfounded_Owf( Y, X ), c_Wellfounded_Oacyclic( Y, X ) }.
% 0.84/1.27 { ! c_Wellfounded_Owf( Y, X ), ! c_member( tc_prod( Y, Y ),
% 0.84/1.27 c_Product__Type_OPair( Y, Y, Z, Z ), X ) }.
% 0.84/1.27 { ! c_Wellfounded_Owf( Y, X ), ! c_member( tc_prod( Y, Y ),
% 0.84/1.27 c_Product__Type_OPair( Y, Y, T, Z ), X ), ! c_member( tc_prod( Y, Y ),
% 0.84/1.27 c_Product__Type_OPair( Y, Y, Z, T ), X ) }.
% 0.84/1.27 { ! c_Wellfounded_Owf( Y, X ), ! c_member( tc_prod( Y, Y ),
% 0.84/1.27 c_Product__Type_OPair( Y, Y, T, Z ), X ), ! c_member( tc_prod( Y, Y ),
% 0.84/1.27 c_Product__Type_OPair( Y, Y, Z, T ), X ) }.
% 0.84/1.27 { ! c_Wellfounded_Owf( Y, X ), ! c_member( tc_prod( Y, Y ),
% 0.84/1.27 c_Product__Type_OPair( Y, Y, Z, Z ), X ) }.
% 0.84/1.27 { ! c_Wellfounded_Owf( Y, X ), c_member( Y, Z, c_Wellfounded_Oacc( Y, X ) )
% 0.84/1.27 }.
% 0.84/1.27 { ! c_Wellfounded_Owf( Y, X ), c_member( Y, Z, c_Wellfounded_Oacc( Y, X ) )
% 0.84/1.27 }.
% 0.84/1.27 { ! c_member( Y, skol53( X, Y ), c_Wellfounded_Oacc( Y, X ) ),
% 0.84/1.27 c_Wellfounded_Owf( Y, X ) }.
% 0.84/1.27 { ! c_member( Z, Y, c_fequal( X ) ), Y = X }.
% 0.84/1.27 { ! Y = X, c_member( Z, Y, c_fequal( X ) ) }.
% 0.84/1.27 { ! class_Lattices_Osemilattice__sup( X ),
% 0.84/1.27 c_Lattices_Osemilattice__sup__class_Osup( X, Y, Y ) = Y }.
% 0.84/1.27 { ! class_Lattices_Osemilattice__sup( X ),
% 0.84/1.27 c_Lattices_Osemilattice__sup__class_Osup( X, Y, Y ) = Y }.
% 0.84/1.27 { ! class_Lattices_Osemilattice__sup( X ),
% 0.84/1.27 c_Lattices_Osemilattice__sup__class_Osup( X, Z, Y ) =
% 0.84/1.27 c_Lattices_Osemilattice__sup__class_Osup( X, Y, Z ) }.
% 0.84/1.27 { ! class_Lattices_Olattice( X ), c_Lattices_Osemilattice__sup__class_Osup
% 0.84/1.27 ( X, Z, Y ) = c_Lattices_Osemilattice__sup__class_Osup( X, Y, Z ) }.
% 0.84/1.27 { ! class_Lattices_Osemilattice__sup( X ),
% 0.84/1.27 c_Lattices_Osemilattice__sup__class_Osup( X, Z, Y ) =
% 0.84/1.27 c_Lattices_Osemilattice__sup__class_Osup( X, Y, Z ) }.
% 0.84/1.27 { ! class_Lattices_Osemilattice__sup( X ),
% 0.84/1.27 c_Lattices_Osemilattice__sup__class_Osup( X, Z,
% 0.84/1.27 c_Lattices_Osemilattice__sup__class_Osup( X, Z, Y ) ) =
% 0.84/1.27 c_Lattices_Osemilattice__sup__class_Osup( X, Z, Y ) }.
% 0.84/1.27 { ! class_Lattices_Olattice( X ), c_Lattices_Osemilattice__sup__class_Osup
% 0.84/1.27 ( X, Z, c_Lattices_Osemilattice__sup__class_Osup( X, Z, Y ) ) =
% 0.84/1.27 c_Lattices_Osemilattice__sup__class_Osup( X, Z, Y ) }.
% 0.84/1.27 { ! class_Lattices_Osemilattice__sup( X ),
% 0.84/1.27 c_Lattices_Osemilattice__sup__class_Osup( X, Z,
% 0.84/1.27 c_Lattices_Osemilattice__sup__class_Osup( X, Z, Y ) ) =
% 0.84/1.27 c_Lattices_Osemilattice__sup__class_Osup( X, Z, Y ) }.
% 0.84/1.27 { ! class_Lattices_Osemilattice__sup( X ),
% 0.84/1.27 c_Lattices_Osemilattice__sup__class_Osup( X, T,
% 0.84/1.27 c_Lattices_Osemilattice__sup__class_Osup( X, Z, Y ) ) =
% 0.84/1.27 c_Lattices_Osemilattice__sup__class_Osup( X, Z,
% 0.84/1.27 c_Lattices_Osemilattice__sup__class_Osup( X, T, Y ) ) }.
% 0.84/1.27 { ! class_Lattices_Olattice( X ), c_Lattices_Osemilattice__sup__class_Osup
% 0.84/1.27 ( X, T, c_Lattices_Osemilattice__sup__class_Osup( X, Z, Y ) ) =
% 0.84/1.27 c_Lattices_Osemilattice__sup__class_Osup( X, Z,
% 0.84/1.27 c_Lattices_Osemilattice__sup__class_Osup( X, T, Y ) ) }.
% 0.84/1.27 { ! class_Lattices_Osemilattice__sup( X ),
% 0.84/1.27 c_Lattices_Osemilattice__sup__class_Osup( X, T,
% 0.84/1.27 c_Lattices_Osemilattice__sup__class_Osup( X, Z, Y ) ) =
% 0.84/1.27 c_Lattices_Osemilattice__sup__class_Osup( X, Z,
% 0.84/1.27 c_Lattices_Osemilattice__sup__class_Osup( X, T, Y ) ) }.
% 0.84/1.27 { ! class_Lattices_Osemilattice__sup( X ),
% 0.84/1.27 c_Lattices_Osemilattice__sup__class_Osup( X,
% 0.84/1.27 c_Lattices_Osemilattice__sup__class_Osup( X, T, Z ), Y ) =
% 0.84/1.27 c_Lattices_Osemilattice__sup__class_Osup( X, T,
% 0.84/1.27 c_Lattices_Osemilattice__sup__class_Osup( X, Z, Y ) ) }.
% 0.84/1.27 { ! class_Lattices_Olattice( X ), c_Lattices_Osemilattice__sup__class_Osup
% 0.84/1.27 ( X, c_Lattices_Osemilattice__sup__class_Osup( X, T, Z ), Y ) =
% 0.84/1.27 c_Lattices_Osemilattice__sup__class_Osup( X, T,
% 0.84/1.27 c_Lattices_Osemilattice__sup__class_Osup( X, Z, Y ) ) }.
% 0.84/1.27 { ! class_Lattices_Osemilattice__sup( X ),
% 0.84/1.27 c_Lattices_Osemilattice__sup__class_Osup( X,
% 0.84/1.27 c_Lattices_Osemilattice__sup__class_Osup( X, T, Z ), Y ) =
% 0.84/1.27 c_Lattices_Osemilattice__sup__class_Osup( X, T,
% 0.84/1.27 c_Lattices_Osemilattice__sup__class_Osup( X, Z, Y ) ) }.
% 0.84/1.27 { ! hBOOL( hAPP( Y, X ) ), hBOOL( hAPP(
% 0.84/1.27 c_Lattices_Osemilattice__sup__class_Osup( tc_fun( T, tc_HOL_Obool ), Y, Z
% 0.84/1.27 ), X ) ) }.
% 0.84/1.27 { ! hBOOL( hAPP( Y, X ) ), hBOOL( hAPP(
% 0.84/1.27 c_Lattices_Osemilattice__sup__class_Osup( tc_fun( T, tc_HOL_Obool ), Z, Y
% 0.84/1.27 ), X ) ) }.
% 0.84/1.27 { c_Wellfounded_Owf( Y, hAPP( c_Wellfounded_Omeasure( Y ), X ) ) }.
% 0.84/1.27 { ! c_Order__Relation_Olinear__order__on( Z, Y, X ),
% 0.84/1.27 c_Order__Relation_Opartial__order__on( Z, Y, X ) }.
% 0.84/1.27 { ! c_Order__Relation_Olinear__order__on( Z, Y, X ), c_Relation_Ototal__on
% 0.84/1.27 ( Z, Y, X ) }.
% 0.84/1.27 { ! c_Order__Relation_Opartial__order__on( Z, Y, X ), !
% 0.84/1.27 c_Relation_Ototal__on( Z, Y, X ), c_Order__Relation_Olinear__order__on( Z
% 0.84/1.27 , Y, X ) }.
% 0.84/1.27 { ! U = c_Recdef_Owfrec( T, Z, Y, X ), ! c_Wellfounded_Owf( T, Y ), hAPP( U
% 0.84/1.27 , W ) = hAPP( hAPP( X, c_Recdef_Ocut( T, Z, U, Y, W ) ), W ) }.
% 0.84/1.27 { ! c_Wellfounded_Owf( Y, X ), hAPP( c_Recdef_Owfrec( Y, U, X, T ), Z ) =
% 0.84/1.27 hAPP( hAPP( T, c_Recdef_Ocut( Y, U, c_Recdef_Owfrec( Y, U, X, T ), X, Z )
% 0.84/1.27 ), Z ) }.
% 0.84/1.27 { ! c_Wellfounded_Owf( X, Y ), hAPP( c_Recdef_Owfrec( X, Z, Y, T ), U ) =
% 0.84/1.27 hAPP( hAPP( T, c_Recdef_Ocut( X, Z, c_Recdef_Owfrec( X, Z, Y, T ), Y, U )
% 0.84/1.27 ), U ) }.
% 0.84/1.27 { ! c_Wellfounded_Owf( Y, X ), ! c_member( Y, T, Z ), alpha12( X, Y, Z ) }
% 0.84/1.27 .
% 0.84/1.27 { c_member( Y, skol85( Y, Z ), skol54( Z, Y ) ), c_Wellfounded_Owf( Y, X )
% 0.84/1.27 }.
% 0.84/1.27 { ! alpha12( X, Y, skol54( X, Y ) ), c_Wellfounded_Owf( Y, X ) }.
% 0.84/1.27 { ! alpha12( X, Y, Z ), c_member( Y, skol55( T, Y, Z ), Z ) }.
% 0.84/1.27 { ! alpha12( X, Y, Z ), alpha22( X, Y, Z, skol55( X, Y, Z ) ) }.
% 0.84/1.27 { ! c_member( Y, T, Z ), ! alpha22( X, Y, Z, T ), alpha12( X, Y, Z ) }.
% 0.84/1.27 { ! alpha22( X, Y, Z, T ), ! c_member( tc_prod( Y, Y ),
% 0.84/1.27 c_Product__Type_OPair( Y, Y, U, T ), X ), ! c_member( Y, U, Z ) }.
% 0.84/1.27 { c_member( Y, skol56( U, Y, Z, W ), Z ), alpha22( X, Y, Z, T ) }.
% 0.84/1.27 { c_member( tc_prod( Y, Y ), c_Product__Type_OPair( Y, Y, skol56( X, Y, Z,
% 0.84/1.27 T ), T ), X ), alpha22( X, Y, Z, T ) }.
% 0.84/1.27 { hBOOL( hAPP( Z, skol57( T, U, Z ) ) ), c_Wellfounded_Owf( tc_prod( W, Y )
% 0.84/1.27 , c_Recdef_Osame__fst( W, Y, Z, X ) ) }.
% 0.84/1.27 { ! c_Wellfounded_Owf( Y, hAPP( X, skol57( X, Y, Z ) ) ), c_Wellfounded_Owf
% 0.84/1.27 ( tc_prod( T, Y ), c_Recdef_Osame__fst( T, Y, Z, X ) ) }.
% 0.84/1.27 { ! c_Wellfounded_Owf( Y, X ), c_Wellfounded_OwfP( Y, c_FunDef_Oin__rel( Y
% 0.84/1.27 , Y, X ) ) }.
% 0.84/1.27 { ! c_Order__Relation_Olinear__order__on( Z, Y, X ),
% 0.84/1.27 c_Order__Relation_Ostrict__linear__order__on( Z, Y,
% 0.84/1.27 c_Groups_Ominus__class_Ominus( tc_fun( tc_prod( Z, Z ), tc_HOL_Obool ), X
% 0.84/1.27 , c_Relation_OId( Z ) ) ) }.
% 0.84/1.27 { c_member( tc_prod( Y, Y ), c_Product__Type_OPair( Y, Y, skol58( X, Y ),
% 0.84/1.27 skol86( X, Y ) ), X ), c_Relation_Oantisym( Y, X ) }.
% 0.84/1.27 { c_member( tc_prod( Y, Y ), c_Product__Type_OPair( Y, Y, skol86( X, Y ),
% 0.84/1.27 skol58( X, Y ) ), X ), c_Relation_Oantisym( Y, X ) }.
% 0.84/1.27 { ! skol58( X, Y ) = skol86( X, Y ), c_Relation_Oantisym( Y, X ) }.
% 0.84/1.27 { ! c_member( Y, skol59( X, Y ), c_Wellfounded_Oacc( Y, X ) ),
% 0.84/1.27 c_Wellfounded_Owf( Y, X ) }.
% 0.84/1.27 { ! c_member( T, Z, c_Groups_Ominus__class_Ominus( tc_fun( T, tc_HOL_Obool
% 0.84/1.27 ), Y, X ) ), c_member( T, Z, Y ) }.
% 0.84/1.27 { ! c_member( T, Z, c_Groups_Ominus__class_Ominus( tc_fun( T, tc_HOL_Obool
% 0.84/1.27 ), Y, X ) ), ! c_member( T, Z, X ) }.
% 0.84/1.27 { ! c_member( Z, Y, X ), c_member( Z, Y, T ), c_member( Z, Y,
% 0.84/1.27 c_Groups_Ominus__class_Ominus( tc_fun( Z, tc_HOL_Obool ), X, T ) ) }.
% 0.84/1.27 { ! c_member( T, Z, c_Groups_Ominus__class_Ominus( tc_fun( T, tc_HOL_Obool
% 0.84/1.27 ), Y, X ) ), c_member( T, Z, Y ) }.
% 0.84/1.27 { ! c_member( T, Z, c_Groups_Ominus__class_Ominus( tc_fun( T, tc_HOL_Obool
% 0.84/1.27 ), Y, X ) ), ! c_member( T, Z, X ) }.
% 0.84/1.27 { ! c_member( T, Z, Y ), c_member( T, Z, X ), c_member( T, Z,
% 0.84/1.27 c_Groups_Ominus__class_Ominus( tc_fun( T, tc_HOL_Obool ), Y, X ) ) }.
% 0.84/1.27 { ! c_member( Z, Y, c_Groups_Ominus__class_Ominus( tc_fun( Z, tc_HOL_Obool
% 0.84/1.27 ), X, T ) ), c_member( Z, Y, X ) }.
% 0.84/1.27 { ! c_member( Z, Y, c_Groups_Ominus__class_Ominus( tc_fun( Z, tc_HOL_Obool
% 0.84/1.27 ), T, X ) ), ! c_member( Z, Y, X ) }.
% 0.84/1.27 { c_Lattices_Osemilattice__sup__class_Osup( tc_fun( Z, tc_HOL_Obool ), Y,
% 0.84/1.27 c_Groups_Ominus__class_Ominus( tc_fun( Z, tc_HOL_Obool ), X, Y ) ) =
% 0.84/1.27 c_Lattices_Osemilattice__sup__class_Osup( tc_fun( Z, tc_HOL_Obool ), Y, X
% 0.84/1.27 ) }.
% 0.84/1.27 { c_Lattices_Osemilattice__sup__class_Osup( tc_fun( Z, tc_HOL_Obool ),
% 0.84/1.27 c_Groups_Ominus__class_Ominus( tc_fun( Z, tc_HOL_Obool ), Y, X ), X ) =
% 0.84/1.27 c_Lattices_Osemilattice__sup__class_Osup( tc_fun( Z, tc_HOL_Obool ), Y, X
% 0.84/1.27 ) }.
% 0.84/1.27 { c_Groups_Ominus__class_Ominus( tc_fun( T, tc_HOL_Obool ),
% 0.84/1.27 c_Lattices_Osemilattice__sup__class_Osup( tc_fun( T, tc_HOL_Obool ), Z, Y
% 0.84/1.27 ), X ) = c_Lattices_Osemilattice__sup__class_Osup( tc_fun( T,
% 0.84/1.27 tc_HOL_Obool ), c_Groups_Ominus__class_Ominus( tc_fun( T, tc_HOL_Obool )
% 0.84/1.27 , Z, X ), c_Groups_Ominus__class_Ominus( tc_fun( T, tc_HOL_Obool ), Y, X
% 0.84/1.27 ) ) }.
% 0.84/1.27 { c_Groups_Ominus__class_Ominus( tc_fun( Z, tc_HOL_Obool ),
% 0.84/1.27 c_Groups_Ominus__class_Ominus( tc_fun( Z, tc_HOL_Obool ), Y, X ), X ) =
% 0.84/1.27 c_Groups_Ominus__class_Ominus( tc_fun( Z, tc_HOL_Obool ), Y, X ) }.
% 0.84/1.27 { ! class_Groups_Ominus( X ), hAPP( c_Groups_Ominus__class_Ominus( tc_fun(
% 0.84/1.27 U, X ), T, Z ), Y ) = c_Groups_Ominus__class_Ominus( X, hAPP( T, Y ),
% 0.84/1.27 hAPP( Z, Y ) ) }.
% 0.84/1.27 { ! c_member( Z, Y, X ), c_Groups_Ominus__class_Ominus( tc_fun( Z,
% 0.84/1.27 tc_HOL_Obool ), c_Set_Oinsert( Z, Y, T ), X ) =
% 0.84/1.27 c_Groups_Ominus__class_Ominus( tc_fun( Z, tc_HOL_Obool ), T, X ) }.
% 0.84/1.27 { ! c_member( T, Z, Y ), c_Groups_Ominus__class_Ominus( tc_fun( T,
% 0.84/1.27 tc_HOL_Obool ), c_Set_Oinsert( T, Z, X ), Y ) =
% 0.84/1.27 c_Groups_Ominus__class_Ominus( tc_fun( T, tc_HOL_Obool ), X, Y ) }.
% 0.84/1.27 { c_member( T, Z, Y ), c_Groups_Ominus__class_Ominus( tc_fun( T,
% 0.84/1.27 tc_HOL_Obool ), c_Set_Oinsert( T, Z, X ), Y ) = c_Set_Oinsert( T, Z,
% 0.84/1.27 c_Groups_Ominus__class_Ominus( tc_fun( T, tc_HOL_Obool ), X, Y ) ) }.
% 0.84/1.27 { c_Transitive__Closure_Ortrancl( Y, c_Groups_Ominus__class_Ominus( tc_fun
% 0.84/1.27 ( tc_prod( Y, Y ), tc_HOL_Obool ), X, c_Relation_OId( Y ) ) ) =
% 0.84/1.27 c_Transitive__Closure_Ortrancl( Y, X ) }.
% 0.84/1.27 { ! c_Relation_Ototal__on( Z, Y, c_Groups_Ominus__class_Ominus( tc_fun(
% 0.84/1.27 tc_prod( Z, Z ), tc_HOL_Obool ), X, c_Relation_OId( Z ) ) ),
% 0.84/1.27 c_Relation_Ototal__on( Z, Y, X ) }.
% 0.84/1.27 { ! c_Relation_Ototal__on( Z, Y, X ), c_Relation_Ototal__on( Z, Y,
% 0.84/1.27 c_Groups_Ominus__class_Ominus( tc_fun( tc_prod( Z, Z ), tc_HOL_Obool ), X
% 0.84/1.27 , c_Relation_OId( Z ) ) ) }.
% 0.84/1.27 { c_Relation_Oirrefl( Y, c_Groups_Ominus__class_Ominus( tc_fun( tc_prod( Y
% 0.84/1.27 , Y ), tc_HOL_Obool ), X, c_Relation_OId( Y ) ) ) }.
% 0.84/1.27 { ! c_Relation_Otrans( Y, X ), ! c_Relation_Oantisym( Y, X ),
% 0.84/1.27 c_Relation_Otrans( Y, c_Groups_Ominus__class_Ominus( tc_fun( tc_prod( Y,
% 0.84/1.27 Y ), tc_HOL_Obool ), X, c_Relation_OId( Y ) ) ) }.
% 0.84/1.27 { ! c_Order__Relation_Owell__order__on( Z, Y, X ),
% 0.84/1.27 c_Order__Relation_Olinear__order__on( Z, Y, X ) }.
% 0.84/1.27 { ! c_Order__Relation_Owell__order__on( Z, Y, X ), c_Wellfounded_Owf( Z,
% 0.84/1.27 c_Groups_Ominus__class_Ominus( tc_fun( tc_prod( Z, Z ), tc_HOL_Obool ), X
% 0.84/1.27 , c_Relation_OId( Z ) ) ) }.
% 0.84/1.27 { ! c_Order__Relation_Olinear__order__on( Z, Y, X ), ! c_Wellfounded_Owf( Z
% 0.84/1.27 , c_Groups_Ominus__class_Ominus( tc_fun( tc_prod( Z, Z ), tc_HOL_Obool )
% 0.84/1.27 , X, c_Relation_OId( Z ) ) ), c_Order__Relation_Owell__order__on( Z, Y, X
% 0.84/1.27 ) }.
% 0.84/1.27 { c_Relation_OField( Y, X ) = c_Lattices_Osemilattice__sup__class_Osup(
% 0.84/1.27 tc_fun( Y, tc_HOL_Obool ), c_Relation_ODomain( Y, Y, X ),
% 0.84/1.27 c_Relation_ORange( Y, Y, X ) ) }.
% 0.84/1.27 { ! c_member( tc_prod( T, T ), c_Product__Type_OPair( T, T, Z, Y ), hAPP(
% 0.84/1.27 c_Wellfounded_Omeasure( T ), X ) ), c_Orderings_Oord__class_Oless(
% 0.84/1.27 tc_Nat_Onat, hAPP( X, Z ), hAPP( X, Y ) ) }.
% 0.84/1.27 { ! c_Orderings_Oord__class_Oless( tc_Nat_Onat, hAPP( X, Z ), hAPP( X, Y )
% 0.84/1.27 ), c_member( tc_prod( T, T ), c_Product__Type_OPair( T, T, Z, Y ), hAPP
% 0.84/1.27 ( c_Wellfounded_Omeasure( T ), X ) ) }.
% 0.84/1.27 { c_Wellfounded_Omeasure( X ) = c_Relation_Oinv__image( tc_Nat_Onat, X,
% 0.84/1.27 c_Wellfounded_Oless__than ) }.
% 0.84/1.27 { c_Orderings_Oord__class_Oless__eq( tc_fun( T, tc_HOL_Obool ),
% 0.84/1.27 c_Groups_Ominus__class_Ominus( tc_fun( T, tc_HOL_Obool ),
% 0.84/1.27 c_Relation_ORange( Z, T, Y ), c_Relation_ORange( Z, T, X ) ),
% 0.84/1.27 c_Relation_ORange( Z, T, c_Groups_Ominus__class_Ominus( tc_fun( tc_prod(
% 0.84/1.27 Z, T ), tc_HOL_Obool ), Y, X ) ) ) }.
% 0.84/1.27 { ! c_Orderings_Oord__class_Oless__eq( tc_fun( Z, tc_HOL_Obool ), Y, X ), !
% 0.84/1.27 c_Orderings_Oord__class_Oless__eq( tc_fun( Z, tc_HOL_Obool ), X, Y ), Y
% 0.84/1.27 = X }.
% 0.84/1.27 { c_Relation_Otrans( tc_Nat_Onat, c_Wellfounded_Oless__than ) }.
% 0.84/1.27 { c_Wellfounded_Owf( tc_Nat_Onat, c_Wellfounded_Oless__than ) }.
% 0.84/1.27 { ! c_Orderings_Oord__class_Oless__eq( tc_fun( Z, tc_HOL_Obool ), Y, X ), !
% 0.84/1.27 c_member( Z, T, Y ), c_member( Z, T, X ) }.
% 0.84/1.27 { ! c_Orderings_Oord__class_Oless__eq( tc_fun( Z, tc_HOL_Obool ), Y, X ), !
% 0.84/1.27 c_Orderings_Oord__class_Oless__eq( tc_fun( Z, tc_HOL_Obool ), U, T ),
% 0.84/1.27 c_Orderings_Oord__class_Oless__eq( tc_fun( Z, tc_HOL_Obool ),
% 0.84/1.27 c_Lattices_Osemilattice__sup__class_Osup( tc_fun( Z, tc_HOL_Obool ), Y, U
% 0.84/1.28 ), c_Lattices_Osemilattice__sup__class_Osup( tc_fun( Z, tc_HOL_Obool ),
% 0.84/1.28 X, T ) ) }.
% 0.84/1.28 { ! c_Orderings_Oord__class_Oless__eq( tc_fun( Z, tc_HOL_Obool ), Y, X ), !
% 0.84/1.28 c_Orderings_Oord__class_Oless__eq( tc_fun( Z, tc_HOL_Obool ), T, X ),
% 0.84/1.28 c_Orderings_Oord__class_Oless__eq( tc_fun( Z, tc_HOL_Obool ),
% 0.84/1.28 c_Lattices_Osemilattice__sup__class_Osup( tc_fun( Z, tc_HOL_Obool ), Y, T
% 0.84/1.28 ), X ) }.
% 0.84/1.28 { ! c_Orderings_Oord__class_Oless__eq( tc_fun( Z, tc_HOL_Obool ), Y, X ),
% 0.84/1.28 c_Lattices_Osemilattice__sup__class_Osup( tc_fun( Z, tc_HOL_Obool ), X, Y
% 0.84/1.28 ) = X }.
% 0.84/1.28 { ! c_Orderings_Oord__class_Oless__eq( tc_fun( Z, tc_HOL_Obool ), Y, X ),
% 0.84/1.28 c_Lattices_Osemilattice__sup__class_Osup( tc_fun( Z, tc_HOL_Obool ), Y, X
% 0.84/1.28 ) = X }.
% 0.84/1.28 { ! c_Orderings_Oord__class_Oless__eq( tc_fun( Z, tc_HOL_Obool ), Y, X ),
% 0.84/1.28 c_Lattices_Osemilattice__sup__class_Osup( tc_fun( Z, tc_HOL_Obool ), Y, X
% 0.84/1.28 ) = X }.
% 0.84/1.28 { ! c_Lattices_Osemilattice__sup__class_Osup( tc_fun( Z, tc_HOL_Obool ), Y
% 0.84/1.28 , X ) = X, c_Orderings_Oord__class_Oless__eq( tc_fun( Z, tc_HOL_Obool ),
% 0.84/1.28 Y, X ) }.
% 0.84/1.28 { c_Orderings_Oord__class_Oless__eq( tc_fun( Z, tc_HOL_Obool ), Y,
% 0.84/1.28 c_Lattices_Osemilattice__sup__class_Osup( tc_fun( Z, tc_HOL_Obool ), X, Y
% 0.84/1.28 ) ) }.
% 0.84/1.28 { c_Orderings_Oord__class_Oless__eq( tc_fun( Z, tc_HOL_Obool ), Y,
% 0.84/1.28 c_Lattices_Osemilattice__sup__class_Osup( tc_fun( Z, tc_HOL_Obool ), Y, X
% 0.84/1.28 ) ) }.
% 0.84/1.28 { ! hBOOL( hAPP( Y, X ) ), ! c_Orderings_Oord__class_Oless__eq( tc_fun( T,
% 0.84/1.28 tc_HOL_Obool ), Y, Z ), hBOOL( hAPP( Z, X ) ) }.
% 0.84/1.28 { ! c_Orderings_Oord__class_Oless__eq( tc_fun( Z, tc_HOL_Obool ), Y, X ), !
% 0.84/1.28 hBOOL( hAPP( Y, T ) ), hBOOL( hAPP( X, T ) ) }.
% 0.84/1.28 { ! c_Orderings_Oord__class_Oless__eq( tc_fun( tc_prod( T, Z ),
% 0.84/1.28 tc_HOL_Obool ), Y, X ), c_Orderings_Oord__class_Oless__eq( tc_fun( T,
% 0.84/1.28 tc_HOL_Obool ), c_Relation_ODomain( T, Z, Y ), c_Relation_ODomain( T, Z,
% 0.84/1.28 X ) ) }.
% 0.84/1.28 { ! c_Orderings_Oord__class_Oless__eq( tc_fun( tc_prod( Z, Z ),
% 0.84/1.28 tc_HOL_Obool ), Y, X ), c_Orderings_Oord__class_Oless__eq( tc_fun( Z,
% 0.84/1.28 tc_HOL_Obool ), c_Wellfounded_Oacc( Z, X ), c_Wellfounded_Oacc( Z, Y ) )
% 0.84/1.28 }.
% 0.84/1.28 { c_Orderings_Oord__class_Oless__eq( tc_fun( Y, tc_HOL_Obool ), X, X ) }.
% 0.84/1.28 { ! Z = Y, c_Orderings_Oord__class_Oless__eq( tc_fun( X, tc_HOL_Obool ), Z
% 0.84/1.28 , Y ) }.
% 0.84/1.28 { ! Z = Y, c_Orderings_Oord__class_Oless__eq( tc_fun( X, tc_HOL_Obool ), Y
% 0.84/1.28 , Z ) }.
% 0.84/1.28 { ! c_Orderings_Oord__class_Oless__eq( tc_fun( X, tc_HOL_Obool ), Z, Y ), !
% 0.84/1.28 c_Orderings_Oord__class_Oless__eq( tc_fun( X, tc_HOL_Obool ), Y, Z ), Z
% 0.84/1.28 = Y }.
% 0.84/1.28 { ! Y = X, c_Orderings_Oord__class_Oless__eq( tc_fun( Z, tc_HOL_Obool ), Y
% 0.84/1.28 , X ) }.
% 0.84/1.28 { ! Y = X, c_Orderings_Oord__class_Oless__eq( tc_fun( Z, tc_HOL_Obool ), X
% 0.84/1.28 , Y ) }.
% 0.84/1.28 { ! c_Orderings_Oord__class_Oless__eq( tc_fun( tc_prod( Z, Z ),
% 0.84/1.28 tc_HOL_Obool ), Y, X ), c_Orderings_Oord__class_Oless__eq( tc_fun( Z,
% 0.84/1.28 tc_HOL_Obool ), c_Relation_OField( Z, Y ), c_Relation_OField( Z, X ) ) }
% 0.84/1.28 .
% 0.84/1.28 { ! c_Orderings_Oord__class_Oless__eq( tc_fun( Z, tc_HOL_Obool ), Y, X ), !
% 0.84/1.28 c_Orderings_Oord__class_Oless__eq( tc_fun( Z, tc_HOL_Obool ), X, T ),
% 0.84/1.28 c_Orderings_Oord__class_Oless__eq( tc_fun( Z, tc_HOL_Obool ), Y, T ) }.
% 0.84/1.28 { ! Y = X, c_Orderings_Oord__class_Oless__eq( tc_fun( Z, tc_HOL_Obool ), Y
% 0.84/1.28 , X ) }.
% 0.84/1.28 { ! Y = X, c_Orderings_Oord__class_Oless__eq( tc_fun( Z, tc_HOL_Obool ), X
% 0.84/1.28 , Y ) }.
% 0.84/1.28 { ! c_member( tc_prod( tc_Nat_Onat, tc_Nat_Onat ), c_Product__Type_OPair(
% 0.84/1.28 tc_Nat_Onat, tc_Nat_Onat, Y, X ), c_Wellfounded_Oless__than ),
% 0.84/1.28 c_Orderings_Oord__class_Oless( tc_Nat_Onat, Y, X ) }.
% 0.84/1.28 { ! c_Orderings_Oord__class_Oless( tc_Nat_Onat, Y, X ), c_member( tc_prod(
% 0.84/1.28 tc_Nat_Onat, tc_Nat_Onat ), c_Product__Type_OPair( tc_Nat_Onat,
% 0.84/1.28 tc_Nat_Onat, Y, X ), c_Wellfounded_Oless__than ) }.
% 0.84/1.28 { ! c_Orderings_Oord__class_Oless__eq( tc_fun( Z, tc_HOL_Obool ), Y, X ),
% 0.84/1.28 c_Orderings_Oord__class_Oless__eq( tc_fun( Z, tc_HOL_Obool ),
% 0.84/1.28 c_Set_Oinsert( Z, T, Y ), c_Set_Oinsert( Z, T, X ) ) }.
% 0.84/1.28 { ! c_Orderings_Oord__class_Oless__eq( tc_fun( Z, tc_HOL_Obool ), Y, X ),
% 0.84/1.28 c_Orderings_Oord__class_Oless__eq( tc_fun( Z, tc_HOL_Obool ), Y,
% 0.84/1.28 c_Set_Oinsert( Z, T, X ) ) }.
% 0.84/1.28 { c_Orderings_Oord__class_Oless__eq( tc_fun( Z, tc_HOL_Obool ), Y,
% 0.84/1.28 c_Set_Oinsert( Z, X, Y ) ) }.
% 0.84/1.28 { ! class_Lattices_Osemilattice__sup( X ), !
% 0.84/1.28 c_Orderings_Oord__class_Oless__eq( X,
% 0.84/1.28 c_Lattices_Osemilattice__sup__class_Osup( X, T, Z ), Y ),
% 0.84/1.28 c_Orderings_Oord__class_Oless__eq( X, T, Y ) }.
% 0.84/1.28 { ! class_Lattices_Osemilattice__sup( X ), !
% 0.84/1.28 c_Orderings_Oord__class_Oless__eq( X,
% 0.84/1.28 c_Lattices_Osemilattice__sup__class_Osup( X, T, Z ), Y ),
% 0.84/1.28 c_Orderings_Oord__class_Oless__eq( X, Z, Y ) }.
% 0.84/1.28 { ! class_Lattices_Osemilattice__sup( X ), !
% 0.84/1.28 c_Orderings_Oord__class_Oless__eq( X, Z, Y ), !
% 0.84/1.28 c_Orderings_Oord__class_Oless__eq( X, U, T ),
% 0.84/1.28 c_Orderings_Oord__class_Oless__eq( X,
% 0.84/1.28 c_Lattices_Osemilattice__sup__class_Osup( X, Z, U ),
% 0.84/1.28 c_Lattices_Osemilattice__sup__class_Osup( X, Y, T ) ) }.
% 0.84/1.28 { ! class_Lattices_Osemilattice__sup( X ), !
% 0.84/1.28 c_Orderings_Oord__class_Oless__eq( X, Z, Y ), !
% 0.84/1.28 c_Orderings_Oord__class_Oless__eq( X, T, Y ),
% 0.84/1.28 c_Orderings_Oord__class_Oless__eq( X,
% 0.84/1.28 c_Lattices_Osemilattice__sup__class_Osup( X, Z, T ), Y ) }.
% 0.84/1.28 { ! class_Lattices_Osemilattice__sup( X ), !
% 0.84/1.28 c_Orderings_Oord__class_Oless__eq( X, Z, Y ), !
% 0.84/1.28 c_Orderings_Oord__class_Oless__eq( X, T, Y ),
% 0.84/1.28 c_Orderings_Oord__class_Oless__eq( X,
% 0.84/1.28 c_Lattices_Osemilattice__sup__class_Osup( X, Z, T ), Y ) }.
% 0.84/1.28 { ! class_Lattices_Osemilattice__sup( X ), !
% 0.84/1.28 c_Orderings_Oord__class_Oless__eq( X, Z, Y ),
% 0.84/1.28 c_Lattices_Osemilattice__sup__class_Osup( X, Y, Z ) = Y }.
% 0.84/1.28 { ! class_Lattices_Osemilattice__sup( X ), !
% 0.84/1.28 c_Orderings_Oord__class_Oless__eq( X, Z, Y ),
% 0.84/1.28 c_Lattices_Osemilattice__sup__class_Osup( X, Z, Y ) = Y }.
% 0.84/1.28 { ! class_Lattices_Osemilattice__sup( X ), !
% 0.84/1.28 c_Orderings_Oord__class_Oless__eq( X, Z, Y ),
% 0.84/1.28 c_Orderings_Oord__class_Oless__eq( X, Z,
% 0.84/1.28 c_Lattices_Osemilattice__sup__class_Osup( X, T, Y ) ) }.
% 0.84/1.28 { ! class_Lattices_Osemilattice__sup( X ), !
% 0.84/1.28 c_Orderings_Oord__class_Oless__eq( X, Z, Y ),
% 0.84/1.28 c_Orderings_Oord__class_Oless__eq( X, Z,
% 0.84/1.28 c_Lattices_Osemilattice__sup__class_Osup( X, Y, T ) ) }.
% 0.84/1.28 { ! class_Lattices_Osemilattice__sup( X ), !
% 0.84/1.28 c_Orderings_Oord__class_Oless__eq( X,
% 0.84/1.28 c_Lattices_Osemilattice__sup__class_Osup( X, T, Z ), Y ),
% 0.84/1.28 c_Orderings_Oord__class_Oless__eq( X, T, Y ) }.
% 0.84/1.28 { ! class_Lattices_Osemilattice__sup( X ), !
% 0.84/1.28 c_Orderings_Oord__class_Oless__eq( X,
% 0.84/1.28 c_Lattices_Osemilattice__sup__class_Osup( X, T, Z ), Y ),
% 0.84/1.28 c_Orderings_Oord__class_Oless__eq( X, Z, Y ) }.
% 0.84/1.28 { ! class_Lattices_Osemilattice__sup( X ), !
% 0.84/1.28 c_Orderings_Oord__class_Oless__eq( X, T, Y ), !
% 0.84/1.28 c_Orderings_Oord__class_Oless__eq( X, Z, Y ),
% 0.84/1.28 c_Orderings_Oord__class_Oless__eq( X,
% 0.84/1.28 c_Lattices_Osemilattice__sup__class_Osup( X, T, Z ), Y ) }.
% 0.84/1.28 { ! class_Lattices_Osemilattice__sup( X ), !
% 0.84/1.28 c_Orderings_Oord__class_Oless__eq( X, Z, Y ),
% 0.84/1.28 c_Lattices_Osemilattice__sup__class_Osup( X, Z, Y ) = Y }.
% 0.84/1.28 { ! class_Lattices_Osemilattice__sup( X ), !
% 0.84/1.28 c_Lattices_Osemilattice__sup__class_Osup( X, Z, Y ) = Y,
% 0.84/1.28 c_Orderings_Oord__class_Oless__eq( X, Z, Y ) }.
% 0.84/1.28 { ! class_Lattices_Osemilattice__sup( X ),
% 0.84/1.28 c_Orderings_Oord__class_Oless__eq( X, Z,
% 0.84/1.28 c_Lattices_Osemilattice__sup__class_Osup( X, Y, Z ) ) }.
% 0.84/1.28 { ! class_Lattices_Olattice( X ), c_Orderings_Oord__class_Oless__eq( X, Z,
% 0.84/1.28 c_Lattices_Osemilattice__sup__class_Osup( X, Y, Z ) ) }.
% 0.84/1.28 { ! class_Lattices_Osemilattice__sup( X ),
% 0.84/1.28 c_Orderings_Oord__class_Oless__eq( X, Z,
% 0.84/1.28 c_Lattices_Osemilattice__sup__class_Osup( X, Z, Y ) ) }.
% 0.84/1.28 { ! class_Lattices_Olattice( X ), c_Orderings_Oord__class_Oless__eq( X, Z,
% 0.84/1.28 c_Lattices_Osemilattice__sup__class_Osup( X, Z, Y ) ) }.
% 0.84/1.28 { ! class_Lattices_Osemilattice__sup( X ), ! c_Orderings_Oord__class_Oless
% 0.84/1.28 ( X, Z, Y ), c_Orderings_Oord__class_Oless( X, Z,
% 0.84/1.28 c_Lattices_Osemilattice__sup__class_Osup( X, T, Y ) ) }.
% 0.84/1.28 { ! class_Lattices_Osemilattice__sup( X ), ! c_Orderings_Oord__class_Oless
% 0.84/1.28 ( X, Z, Y ), c_Orderings_Oord__class_Oless( X, Z,
% 0.84/1.28 c_Lattices_Osemilattice__sup__class_Osup( X, Y, T ) ) }.
% 0.84/1.28 { ! c_Orderings_Oord__class_Oless__eq( tc_fun( Z, tc_HOL_Obool ), Y, X ), !
% 0.84/1.28 c_member( Z, T, Y ), c_member( Z, T, X ) }.
% 0.84/1.28 { ! c_member( Z, Y, X ), ! c_Orderings_Oord__class_Oless__eq( tc_fun( Z,
% 0.84/1.28 tc_HOL_Obool ), X, T ), c_member( Z, Y, T ) }.
% 0.84/1.28 { ! c_Orderings_Oord__class_Oless__eq( tc_fun( Z, tc_HOL_Obool ), Y, X ), !
% 0.84/1.28 c_member( Z, T, Y ), c_member( Z, T, X ) }.
% 0.84/1.28 { c_Orderings_Oord__class_Oless__eq( tc_fun( Z, tc_HOL_Obool ),
% 0.84/1.28 c_Groups_Ominus__class_Ominus( tc_fun( Z, tc_HOL_Obool ), Y, X ), Y ) }.
% 0.84/1.28 { ! c_Orderings_Oord__class_Oless__eq( tc_fun( Z, tc_HOL_Obool ), Y, X ), !
% 0.84/1.28 c_Orderings_Oord__class_Oless__eq( tc_fun( Z, tc_HOL_Obool ), U, T ),
% 0.84/1.28 c_Orderings_Oord__class_Oless__eq( tc_fun( Z, tc_HOL_Obool ),
% 0.84/1.28 c_Groups_Ominus__class_Ominus( tc_fun( Z, tc_HOL_Obool ), Y, T ),
% 0.84/1.28 c_Groups_Ominus__class_Ominus( tc_fun( Z, tc_HOL_Obool ), X, U ) ) }.
% 0.84/1.28 { ! c_Orderings_Oord__class_Oless__eq( tc_fun( Z, tc_HOL_Obool ), Y, X ), !
% 0.84/1.28 c_Orderings_Oord__class_Oless__eq( tc_fun( Z, tc_HOL_Obool ), X, T ),
% 0.84/1.28 c_Groups_Ominus__class_Ominus( tc_fun( Z, tc_HOL_Obool ), X,
% 0.84/1.28 c_Groups_Ominus__class_Ominus( tc_fun( Z, tc_HOL_Obool ), T, Y ) ) = Y }
% 0.84/1.28 .
% 0.84/1.28 { ! c_Orderings_Oord__class_Oless__eq( tc_fun( tc_prod( Z, Z ),
% 0.84/1.28 tc_HOL_Obool ), Y, c_Transitive__Closure_Ortrancl( Z, X ) ),
% 0.84/1.28 c_Orderings_Oord__class_Oless__eq( tc_fun( tc_prod( Z, Z ), tc_HOL_Obool
% 0.84/1.28 ), c_Transitive__Closure_Ortrancl( Z, Y ),
% 0.84/1.28 c_Transitive__Closure_Ortrancl( Z, X ) ) }.
% 0.84/1.28 { ! c_Orderings_Oord__class_Oless__eq( tc_fun( tc_prod( Z, Z ),
% 0.84/1.28 tc_HOL_Obool ), Y, X ), ! c_Orderings_Oord__class_Oless__eq( tc_fun(
% 0.84/1.28 tc_prod( Z, Z ), tc_HOL_Obool ), X, c_Transitive__Closure_Ortrancl( Z, Y
% 0.84/1.28 ) ), c_Transitive__Closure_Ortrancl( Z, X ) =
% 0.84/1.28 c_Transitive__Closure_Ortrancl( Z, Y ) }.
% 0.84/1.28 { ! c_Orderings_Oord__class_Oless__eq( tc_fun( tc_prod( Z, Z ),
% 0.84/1.28 tc_HOL_Obool ), Y, X ), c_Orderings_Oord__class_Oless__eq( tc_fun(
% 0.84/1.28 tc_prod( Z, Z ), tc_HOL_Obool ), c_Transitive__Closure_Ortrancl( Z, Y ),
% 0.84/1.28 c_Transitive__Closure_Ortrancl( Z, X ) ) }.
% 0.84/1.28 { ! c_Wellfounded_Owf( Y, X ), ! c_Orderings_Oord__class_Oless__eq( tc_fun
% 0.84/1.28 ( tc_prod( Y, Y ), tc_HOL_Obool ), Z, X ), c_Wellfounded_Owf( Y, Z ) }.
% 0.84/1.28 { ! c_Orderings_Oord__class_Oless__eq( tc_fun( tc_prod( Z, Z ),
% 0.84/1.28 tc_HOL_Obool ), Y, X ), ! c_Relation_Oantisym( Z, X ),
% 0.84/1.28 c_Relation_Oantisym( Z, Y ) }.
% 0.84/1.28 { ! c_Wellfounded_Oacyclic( Y, X ), ! c_Orderings_Oord__class_Oless__eq(
% 0.84/1.28 tc_fun( tc_prod( Y, Y ), tc_HOL_Obool ), Z, X ), c_Wellfounded_Oacyclic(
% 0.84/1.28 Y, Z ) }.
% 0.84/1.28 { ! c_Orderings_Oord__class_Oless__eq( tc_fun( tc_prod( T, Z ),
% 0.84/1.28 tc_HOL_Obool ), Y, X ), ! c_Relation_Osingle__valued( T, Z, X ),
% 0.84/1.28 c_Relation_Osingle__valued( T, Z, Y ) }.
% 0.84/1.28 { ! c_Orderings_Oord__class_Oless__eq( tc_fun( T, tc_HOL_Obool ),
% 0.84/1.28 c_Set_Oinsert( T, Z, Y ), X ), c_member( T, Z, X ) }.
% 0.84/1.28 { ! c_Orderings_Oord__class_Oless__eq( tc_fun( T, tc_HOL_Obool ),
% 0.84/1.28 c_Set_Oinsert( T, Z, Y ), X ), c_Orderings_Oord__class_Oless__eq( tc_fun
% 0.84/1.28 ( T, tc_HOL_Obool ), Y, X ) }.
% 0.84/1.28 { ! c_member( T, Z, X ), ! c_Orderings_Oord__class_Oless__eq( tc_fun( T,
% 0.84/1.28 tc_HOL_Obool ), Y, X ), c_Orderings_Oord__class_Oless__eq( tc_fun( T,
% 0.84/1.28 tc_HOL_Obool ), c_Set_Oinsert( T, Z, Y ), X ) }.
% 0.84/1.28 { c_member( Z, Y, X ), ! c_Orderings_Oord__class_Oless__eq( tc_fun( Z,
% 0.84/1.28 tc_HOL_Obool ), X, c_Set_Oinsert( Z, Y, T ) ),
% 0.84/1.28 c_Orderings_Oord__class_Oless__eq( tc_fun( Z, tc_HOL_Obool ), X, T ) }.
% 0.84/1.28 { c_member( Z, Y, X ), ! c_Orderings_Oord__class_Oless__eq( tc_fun( Z,
% 0.84/1.28 tc_HOL_Obool ), X, T ), c_Orderings_Oord__class_Oless__eq( tc_fun( Z,
% 0.84/1.28 tc_HOL_Obool ), X, c_Set_Oinsert( Z, Y, T ) ) }.
% 0.84/1.28 { ! c_Orderings_Oord__class_Oless__eq( tc_fun( T, tc_HOL_Obool ),
% 0.84/1.28 c_Groups_Ominus__class_Ominus( tc_fun( T, tc_HOL_Obool ), Z, Y ), X ),
% 0.84/1.28 c_Orderings_Oord__class_Oless__eq( tc_fun( T, tc_HOL_Obool ), Z,
% 0.84/1.28 c_Lattices_Osemilattice__sup__class_Osup( tc_fun( T, tc_HOL_Obool ), Y, X
% 0.84/1.28 ) ) }.
% 0.84/1.28 { ! c_Orderings_Oord__class_Oless__eq( tc_fun( T, tc_HOL_Obool ), Z,
% 0.84/1.28 c_Lattices_Osemilattice__sup__class_Osup( tc_fun( T, tc_HOL_Obool ), Y, X
% 0.84/1.28 ) ), c_Orderings_Oord__class_Oless__eq( tc_fun( T, tc_HOL_Obool ),
% 0.84/1.28 c_Groups_Ominus__class_Ominus( tc_fun( T, tc_HOL_Obool ), Z, Y ), X ) }.
% 0.84/1.28 { ! c_Orderings_Oord__class_Oless__eq( tc_fun( Z, tc_HOL_Obool ), Y, X ),
% 0.84/1.28 c_Lattices_Osemilattice__sup__class_Osup( tc_fun( Z, tc_HOL_Obool ), Y,
% 0.84/1.28 c_Groups_Ominus__class_Ominus( tc_fun( Z, tc_HOL_Obool ), X, Y ) ) = X }
% 0.84/1.28 .
% 0.84/1.28 { ! c_member( tc_prod( Z, Z ), Y, c_Transitive__Closure_Otrancl( Z, X ) ),
% 0.84/1.28 ! c_Orderings_Oord__class_Oless__eq( tc_fun( tc_prod( Z, Z ),
% 0.84/1.28 tc_HOL_Obool ), X, T ), c_member( tc_prod( Z, Z ), Y,
% 0.84/1.28 c_Transitive__Closure_Otrancl( Z, T ) ) }.
% 0.84/1.28 { c_Orderings_Oord__class_Oless__eq( tc_fun( tc_prod( Z, Z ), tc_HOL_Obool
% 0.84/1.28 ), c_Lattices_Osemilattice__sup__class_Osup( tc_fun( tc_prod( Z, Z ),
% 0.84/1.28 tc_HOL_Obool ), c_Transitive__Closure_Ortrancl( Z, Y ),
% 0.84/1.28 c_Transitive__Closure_Ortrancl( Z, X ) ), c_Transitive__Closure_Ortrancl
% 0.84/1.28 ( Z, c_Lattices_Osemilattice__sup__class_Osup( tc_fun( tc_prod( Z, Z ),
% 0.84/1.28 tc_HOL_Obool ), Y, X ) ) ) }.
% 0.84/1.28 { c_Relation_OField( Z, c_Lattices_Osemilattice__sup__class_Osup( tc_fun(
% 0.84/1.28 tc_prod( Z, Z ), tc_HOL_Obool ), Y, X ) ) =
% 0.84/1.28 c_Lattices_Osemilattice__sup__class_Osup( tc_fun( Z, tc_HOL_Obool ),
% 0.84/1.28 c_Relation_OField( Z, Y ), c_Relation_OField( Z, X ) ) }.
% 0.84/1.28 { c_Orderings_Oord__class_Oless__eq( tc_fun( T, tc_HOL_Obool ),
% 0.84/1.28 c_Groups_Ominus__class_Ominus( tc_fun( T, tc_HOL_Obool ),
% 0.84/1.28 c_Relation_ODomain( T, Z, Y ), c_Relation_ODomain( T, Z, X ) ),
% 0.84/1.28 c_Relation_ODomain( T, Z, c_Groups_Ominus__class_Ominus( tc_fun( tc_prod
% 0.84/1.28 ( T, Z ), tc_HOL_Obool ), Y, X ) ) ) }.
% 0.84/1.28 { ! class_Orderings_Opreorder( X ), c_Orderings_Oord__class_Oless__eq( X, Y
% 0.84/1.28 , Y ) }.
% 0.84/1.28 { ! c_Orderings_Oord__class_Oless( tc_Nat_Onat, hAPP( Z, Y ), hAPP( Z, X )
% 0.84/1.28 ), c_member( tc_prod( U, U ), c_Product__Type_OPair( U, U, Y, X ),
% 0.84/1.28 c_Wellfounded_Omlex__prod( U, Z, T ) ) }.
% 0.84/1.28 { ! class_Orderings_Oord( X ), ! c_Orderings_Oord__class_Oless__eq( tc_fun
% 0.84/1.28 ( T, X ), Z, Y ), c_Orderings_Oord__class_Oless__eq( X, hAPP( Z, U ),
% 0.84/1.28 hAPP( Y, U ) ) }.
% 0.84/1.28 { ! class_Orderings_Oord( X ), ! c_Orderings_Oord__class_Oless__eq( tc_fun
% 0.84/1.28 ( T, X ), Z, Y ), c_Orderings_Oord__class_Oless__eq( X, hAPP( Z, U ),
% 0.84/1.28 hAPP( Y, U ) ) }.
% 0.84/1.28 { ! c_Orderings_Oord__class_Oless( tc_fun( Z, tc_HOL_Obool ), Y, X ),
% 0.84/1.28 c_Orderings_Oord__class_Oless__eq( tc_fun( Z, tc_HOL_Obool ), Y, X ) }.
% 0.84/1.28 { ! c_Orderings_Oord__class_Oless( tc_fun( Z, tc_HOL_Obool ), Y, X ), ! Y =
% 0.84/1.28 X }.
% 0.84/1.28 { ! c_Orderings_Oord__class_Oless__eq( tc_fun( Z, tc_HOL_Obool ), Y, X ), Y
% 0.84/1.28 = X, c_Orderings_Oord__class_Oless( tc_fun( Z, tc_HOL_Obool ), Y, X ) }
% 0.84/1.28 .
% 0.84/1.28 { ! c_Orderings_Oord__class_Oless__eq( tc_fun( Z, tc_HOL_Obool ), Y, X ),
% 0.84/1.28 c_Orderings_Oord__class_Oless( tc_fun( Z, tc_HOL_Obool ), Y, X ), Y = X }
% 0.84/1.28 .
% 0.84/1.28 { ! c_Orderings_Oord__class_Oless( tc_fun( Z, tc_HOL_Obool ), Y, X ),
% 0.84/1.28 c_Orderings_Oord__class_Oless__eq( tc_fun( Z, tc_HOL_Obool ), Y, X ) }.
% 0.84/1.28 { ! Y = X, c_Orderings_Oord__class_Oless__eq( tc_fun( Z, tc_HOL_Obool ), Y
% 0.84/1.28 , X ) }.
% 0.84/1.28 { ! c_Orderings_Oord__class_Oless( tc_fun( Z, tc_HOL_Obool ), Y, X ),
% 0.84/1.28 c_Orderings_Oord__class_Oless__eq( tc_fun( Z, tc_HOL_Obool ), Y, X ) }.
% 0.84/1.28 { ! c_Orderings_Oord__class_Oless( tc_Nat_Onat, Y, X ),
% 0.84/1.28 c_Orderings_Oord__class_Oless__eq( tc_Nat_Onat, Y, X ) }.
% 0.84/1.28 { ! c_Orderings_Oord__class_Oless( tc_fun( Z, tc_HOL_Obool ), Y, X ), !
% 0.84/1.28 c_Orderings_Oord__class_Oless__eq( tc_fun( Z, tc_HOL_Obool ), X, T ),
% 0.84/1.28 c_Orderings_Oord__class_Oless( tc_fun( Z, tc_HOL_Obool ), Y, T ) }.
% 0.84/1.28 { ! c_Orderings_Oord__class_Oless__eq( tc_fun( Z, tc_HOL_Obool ), Y, X ), !
% 0.84/1.28 c_Orderings_Oord__class_Oless( tc_fun( Z, tc_HOL_Obool ), X, T ),
% 0.84/1.28 c_Orderings_Oord__class_Oless( tc_fun( Z, tc_HOL_Obool ), Y, T ) }.
% 0.84/1.28 { ! class_Orderings_Oord( X ), ! c_Orderings_Oord__class_Oless( tc_fun( T,
% 0.84/1.28 X ), Z, Y ), c_Orderings_Oord__class_Oless__eq( tc_fun( T, X ), Z, Y ) }
% 0.84/1.28 .
% 0.84/1.28 { ! class_Orderings_Oord( X ), ! c_Orderings_Oord__class_Oless( tc_fun( T,
% 0.84/1.28 X ), Z, Y ), ! c_Orderings_Oord__class_Oless__eq( tc_fun( T, X ), Y, Z )
% 0.84/1.28 }.
% 0.84/1.28 { ! class_Orderings_Oord( X ), ! c_Orderings_Oord__class_Oless__eq( tc_fun
% 0.84/1.28 ( T, X ), Z, Y ), c_Orderings_Oord__class_Oless__eq( tc_fun( T, X ), Y, Z
% 0.84/1.28 ), c_Orderings_Oord__class_Oless( tc_fun( T, X ), Z, Y ) }.
% 0.84/1.28 { ! c_Orderings_Oord__class_Oless( tc_fun( Z, tc_HOL_Obool ), Y, X ), !
% 0.84/1.28 c_member( Z, T, Y ), c_member( Z, T, X ) }.
% 0.84/1.28 { ! c_Wellfounded_OwfP( Y, X ), ! c_Orderings_Oord__class_Oless__eq( tc_fun
% 0.84/1.28 ( Y, tc_fun( Y, tc_HOL_Obool ) ), Z, X ), c_Wellfounded_OwfP( Y, Z ) }.
% 0.84/1.28 { ! c_Orderings_Oord__class_Oless__eq( tc_Nat_Onat, hAPP( Z, Y ), hAPP( Z,
% 0.84/1.28 X ) ), ! c_member( tc_prod( U, U ), c_Product__Type_OPair( U, U, Y, X ),
% 0.84/1.28 T ), c_member( tc_prod( U, U ), c_Product__Type_OPair( U, U, Y, X ),
% 0.84/1.28 c_Wellfounded_Omlex__prod( U, Z, T ) ) }.
% 0.84/1.28 { ! class_Orderings_Olinorder( X ), c_Orderings_Oord__class_Oless__eq( X, Z
% 0.84/1.28 , Y ), c_Orderings_Oord__class_Oless__eq( X, Y, Z ) }.
% 0.84/1.28 { ! class_Orderings_Oorder( X ), ! Z = Y, c_Orderings_Oord__class_Oless__eq
% 0.84/1.28 ( X, Z, Y ) }.
% 0.84/1.28 { ! class_Orderings_Oorder( X ), ! Z = Y, c_Orderings_Oord__class_Oless__eq
% 0.84/1.28 ( X, Y, Z ) }.
% 0.84/1.28 { ! class_Orderings_Oorder( X ), ! c_Orderings_Oord__class_Oless__eq( X, Z
% 0.84/1.28 , Y ), ! c_Orderings_Oord__class_Oless__eq( X, Y, Z ), Z = Y }.
% 0.84/1.28 { ! class_Orderings_Opreorder( X ), ! Z = Y,
% 0.84/1.28 c_Orderings_Oord__class_Oless__eq( X, Z, Y ) }.
% 0.84/1.28 { ! class_Orderings_Oorder( X ), ! c_Orderings_Oord__class_Oless__eq( X, Z
% 0.84/1.28 , Y ), ! c_Orderings_Oord__class_Oless__eq( X, Y, Z ), Y = Z }.
% 0.84/1.28 { ! class_Orderings_Oorder( X ), ! c_Orderings_Oord__class_Oless__eq( X, Z
% 0.84/1.28 , Y ), ! Y = Z, c_Orderings_Oord__class_Oless__eq( X, Y, Z ) }.
% 0.84/1.28 { ! class_Orderings_Oord( X ), ! Z = Y, ! c_Orderings_Oord__class_Oless__eq
% 0.84/1.28 ( X, Y, T ), c_Orderings_Oord__class_Oless__eq( X, Z, T ) }.
% 0.84/1.28 { ! class_Orderings_Oorder( X ), ! Z = Y, !
% 0.84/1.28 c_Orderings_Oord__class_Oless__eq( X, T, Y ),
% 0.84/1.28 c_Orderings_Oord__class_Oless__eq( X, T, Z ) }.
% 0.84/1.28 { ! class_Orderings_Oord( X ), ! c_Orderings_Oord__class_Oless__eq( X, Z, Y
% 0.84/1.28 ), ! Y = T, c_Orderings_Oord__class_Oless__eq( X, Z, T ) }.
% 0.84/1.28 { ! class_Orderings_Oorder( X ), ! c_Orderings_Oord__class_Oless__eq( X, Z
% 0.84/1.28 , Y ), ! Z = T, c_Orderings_Oord__class_Oless__eq( X, T, Y ) }.
% 0.84/1.28 { ! class_Orderings_Oorder( X ), ! c_Orderings_Oord__class_Oless__eq( X, Z
% 0.84/1.28 , Y ), ! c_Orderings_Oord__class_Oless__eq( X, Y, Z ), Z = Y }.
% 0.84/1.28 { ! class_Orderings_Opreorder( X ), ! c_Orderings_Oord__class_Oless__eq( X
% 0.84/1.28 , Z, Y ), ! c_Orderings_Oord__class_Oless__eq( X, Y, T ),
% 0.84/1.28 c_Orderings_Oord__class_Oless__eq( X, Z, T ) }.
% 0.84/1.28 { ! class_Orderings_Oorder( X ), ! c_Orderings_Oord__class_Oless__eq( X, Z
% 0.84/1.28 , Y ), ! c_Orderings_Oord__class_Oless__eq( X, Y, Z ), Y = Z }.
% 0.84/1.28 { ! class_Orderings_Oorder( X ), ! c_Orderings_Oord__class_Oless__eq( X, Z
% 0.84/1.28 , Y ), ! c_Orderings_Oord__class_Oless__eq( X, T, Z ),
% 0.84/1.28 c_Orderings_Oord__class_Oless__eq( X, T, Y ) }.
% 0.84/1.28 { ! class_Orderings_Olinorder( X ), c_Orderings_Oord__class_Oless__eq( X, Z
% 0.84/1.28 , Y ), c_Orderings_Oord__class_Oless__eq( X, Y, Z ) }.
% 0.84/1.28 { ! class_Orderings_Opreorder( X ), ! c_Orderings_Oord__class_Oless( X, Y,
% 0.84/1.28 Y ) }.
% 0.84/1.28 { ! class_Orderings_Olinorder( X ), Z = Y, c_Orderings_Oord__class_Oless( X
% 0.84/1.28 , Z, Y ), c_Orderings_Oord__class_Oless( X, Y, Z ) }.
% 0.84/1.28 { ! class_Orderings_Olinorder( X ), ! c_Orderings_Oord__class_Oless( X, Z,
% 0.84/1.28 Y ), ! Z = Y }.
% 0.84/1.28 { ! class_Orderings_Olinorder( X ), ! c_Orderings_Oord__class_Oless( X, Y,
% 0.84/1.28 Z ), ! Z = Y }.
% 0.84/1.28 { ! class_Orderings_Olinorder( X ), c_Orderings_Oord__class_Oless( X, Z, Y
% 0.84/1.28 ), c_Orderings_Oord__class_Oless( X, Y, Z ), Z = Y }.
% 0.84/1.28 { ! class_Orderings_Olinorder( X ), ! c_Orderings_Oord__class_Oless( X, Y,
% 0.84/1.28 Z ), ! c_Orderings_Oord__class_Oless( X, Z, Y ) }.
% 0.84/1.28 { ! class_Orderings_Olinorder( X ), ! Z = Y, !
% 0.84/1.28 c_Orderings_Oord__class_Oless( X, Z, Y ) }.
% 0.84/1.28 { ! class_Orderings_Olinorder( X ), c_Orderings_Oord__class_Oless( X, Z, Y
% 0.84/1.28 ), Z = Y, c_Orderings_Oord__class_Oless( X, Y, Z ) }.
% 0.84/1.28 { ! class_Orderings_Olinorder( X ), c_Orderings_Oord__class_Oless( X, Z, Y
% 0.84/1.28 ), c_Orderings_Oord__class_Oless( X, Y, Z ), Y = Z }.
% 0.84/1.28 { ! class_Orderings_Olinorder( X ), c_Orderings_Oord__class_Oless( X, Z, Y
% 0.84/1.28 ), ! Y = Z, ! c_Orderings_Oord__class_Oless( X, Y, Z ) }.
% 0.84/1.28 { ! class_Orderings_Olinorder( X ), Z = Y, c_Orderings_Oord__class_Oless( X
% 0.84/1.28 , Z, Y ), c_Orderings_Oord__class_Oless( X, Y, Z ) }.
% 0.84/1.28 { ! class_Orderings_Oorder( X ), ! c_Orderings_Oord__class_Oless( X, Z, Y )
% 0.84/1.28 , ! Z = Y }.
% 0.84/1.28 { ! class_Orderings_Opreorder( X ), ! c_Orderings_Oord__class_Oless( X, Z,
% 0.84/1.28 Y ), ! c_Orderings_Oord__class_Oless( X, Y, Z ) }.
% 0.84/1.28 { ! class_Orderings_Opreorder( X ), ! c_Orderings_Oord__class_Oless( X, Z,
% 0.84/1.28 Y ), ! c_Orderings_Oord__class_Oless( X, Y, Z ) }.
% 0.84/1.28 { ! class_Orderings_Oorder( X ), ! c_Orderings_Oord__class_Oless( X, Z, Y )
% 0.84/1.28 , ! Z = Y }.
% 0.84/1.28 { ! class_Orderings_Oorder( X ), ! c_Orderings_Oord__class_Oless( X, Z, Y )
% 0.84/1.28 , ! Y = Z }.
% 0.84/1.28 { ! class_Orderings_Opreorder( X ), ! c_Orderings_Oord__class_Oless( X, Z,
% 0.84/1.28 Y ), ! c_Orderings_Oord__class_Oless( X, Y, Z ) }.
% 0.84/1.28 { ! class_Orderings_Oorder( X ), ! c_Orderings_Oord__class_Oless( X, Z, Y )
% 0.84/1.28 , ! c_Orderings_Oord__class_Oless( X, Y, Z ) }.
% 0.84/1.28 { ! class_Orderings_Oord( X ), ! Z = Y, ! c_Orderings_Oord__class_Oless( X
% 0.84/1.28 , Y, T ), c_Orderings_Oord__class_Oless( X, Z, T ) }.
% 0.84/1.28 { ! class_Orderings_Oorder( X ), ! Z = Y, ! c_Orderings_Oord__class_Oless(
% 0.84/1.28 X, T, Y ), c_Orderings_Oord__class_Oless( X, T, Z ) }.
% 0.84/1.28 { ! class_Orderings_Oord( X ), ! c_Orderings_Oord__class_Oless( X, Z, Y ),
% 0.84/1.28 ! Y = T, c_Orderings_Oord__class_Oless( X, Z, T ) }.
% 0.84/1.28 { ! class_Orderings_Oorder( X ), ! c_Orderings_Oord__class_Oless( X, Z, Y )
% 0.84/1.28 , ! Z = T, c_Orderings_Oord__class_Oless( X, T, Y ) }.
% 0.84/1.28 { ! class_Orderings_Opreorder( X ), ! c_Orderings_Oord__class_Oless( X, Z,
% 0.84/1.28 Y ), ! c_Orderings_Oord__class_Oless( X, Y, T ),
% 0.84/1.28 c_Orderings_Oord__class_Oless( X, Z, T ) }.
% 0.84/1.28 { ! class_Orderings_Oorder( X ), ! c_Orderings_Oord__class_Oless( X, Z, Y )
% 0.84/1.28 , ! c_Orderings_Oord__class_Oless( X, T, Z ),
% 0.84/1.28 c_Orderings_Oord__class_Oless( X, T, Y ) }.
% 0.84/1.28 { ! class_Orderings_Opreorder( X ), ! c_Orderings_Oord__class_Oless( X, Z,
% 0.84/1.28 Y ), ! c_Orderings_Oord__class_Oless( X, Y, Z ) }.
% 0.84/1.28 { ! class_Orderings_Olinorder( X ), c_Orderings_Oord__class_Oless( X, Z, Y
% 0.84/1.28 ), Z = Y, c_Orderings_Oord__class_Oless( X, Y, Z ) }.
% 0.84/1.28 { ! c_Wellfounded_Owf( Y, X ), c_Wellfounded_Owf( Y,
% 0.84/1.28 c_Wellfounded_Omlex__prod( Y, Z, X ) ) }.
% 0.84/1.28 { ! class_Orderings_Olinorder( X ), c_Orderings_Oord__class_Oless( X, Z, Y
% 0.84/1.28 ), c_Orderings_Oord__class_Oless__eq( X, Y, Z ) }.
% 0.84/1.28 { ! class_Orderings_Olinorder( X ), ! c_Orderings_Oord__class_Oless__eq( X
% 0.84/1.28 , Y, Z ), ! c_Orderings_Oord__class_Oless( X, Z, Y ) }.
% 0.84/1.28 { ! class_Orderings_Olinorder( X ), c_Orderings_Oord__class_Oless__eq( X, Z
% 0.84/1.28 , Y ), c_Orderings_Oord__class_Oless( X, Y, Z ) }.
% 0.84/1.28 { ! class_Orderings_Olinorder( X ), ! c_Orderings_Oord__class_Oless( X, Y,
% 0.84/1.28 Z ), ! c_Orderings_Oord__class_Oless__eq( X, Z, Y ) }.
% 0.84/1.28 { ! class_Orderings_Olinorder( X ), c_Orderings_Oord__class_Oless__eq( X, Z
% 0.84/1.28 , Y ), c_Orderings_Oord__class_Oless( X, Y, Z ) }.
% 0.84/1.28 { ! class_Orderings_Oorder( X ), ! c_Orderings_Oord__class_Oless( X, Z, Y )
% 0.84/1.28 , c_Orderings_Oord__class_Oless__eq( X, Z, Y ) }.
% 0.84/1.28 { ! class_Orderings_Oorder( X ), ! c_Orderings_Oord__class_Oless( X, Z, Y )
% 0.84/1.28 , ! Z = Y }.
% 0.84/1.28 { ! class_Orderings_Oorder( X ), ! c_Orderings_Oord__class_Oless__eq( X, Z
% 0.84/1.28 , Y ), Z = Y, c_Orderings_Oord__class_Oless( X, Z, Y ) }.
% 0.84/1.28 { ! class_Orderings_Opreorder( X ), ! c_Orderings_Oord__class_Oless( X, Z,
% 0.84/1.28 Y ), c_Orderings_Oord__class_Oless__eq( X, Z, Y ) }.
% 0.84/1.28 { ! class_Orderings_Opreorder( X ), ! c_Orderings_Oord__class_Oless( X, Z,
% 0.84/1.28 Y ), ! c_Orderings_Oord__class_Oless__eq( X, Y, Z ) }.
% 0.84/1.28 { ! class_Orderings_Opreorder( X ), ! c_Orderings_Oord__class_Oless__eq( X
% 0.84/1.28 , Z, Y ), c_Orderings_Oord__class_Oless__eq( X, Y, Z ),
% 0.84/1.28 c_Orderings_Oord__class_Oless( X, Z, Y ) }.
% 0.84/1.28 { ! class_Orderings_Oorder( X ), ! c_Orderings_Oord__class_Oless__eq( X, Z
% 0.84/1.28 , Y ), c_Orderings_Oord__class_Oless( X, Z, Y ), Z = Y }.
% 0.84/1.28 { ! class_Orderings_Oorder( X ), ! c_Orderings_Oord__class_Oless( X, Z, Y )
% 0.84/1.28 , c_Orderings_Oord__class_Oless__eq( X, Z, Y ) }.
% 0.84/1.28 { ! class_Orderings_Oorder( X ), ! Z = Y, c_Orderings_Oord__class_Oless__eq
% 0.84/1.28 ( X, Z, Y ) }.
% 0.84/1.28 { ! class_Orderings_Olinorder( X ), c_Orderings_Oord__class_Oless( X, Z, Y
% 0.84/1.28 ), c_Orderings_Oord__class_Oless__eq( X, Y, Z ) }.
% 0.84/1.28 { ! class_Orderings_Olinorder( X ), c_Orderings_Oord__class_Oless__eq( X, Z
% 0.84/1.28 , Y ), c_Orderings_Oord__class_Oless( X, Y, Z ) }.
% 0.84/1.28 { ! class_Orderings_Olinorder( X ), c_Orderings_Oord__class_Oless( X, Z, Y
% 0.84/1.28 ), ! c_Orderings_Oord__class_Oless__eq( X, Z, Y ), Z = Y }.
% 0.84/1.28 { ! class_Orderings_Olinorder( X ), c_Orderings_Oord__class_Oless( X, Z, Y
% 0.84/1.28 ), ! Z = Y, c_Orderings_Oord__class_Oless__eq( X, Z, Y ) }.
% 0.84/1.28 { ! class_Orderings_Oorder( X ), Z = Y, ! c_Orderings_Oord__class_Oless__eq
% 0.84/1.28 ( X, Z, Y ), c_Orderings_Oord__class_Oless( X, Z, Y ) }.
% 0.84/1.28 { ! class_Orderings_Oorder( X ), Z = Y, ! c_Orderings_Oord__class_Oless__eq
% 0.84/1.28 ( X, Y, Z ), c_Orderings_Oord__class_Oless( X, Y, Z ) }.
% 0.84/1.28 { ! class_Orderings_Olinorder( X ), ! c_Orderings_Oord__class_Oless__eq( X
% 0.84/1.28 , Z, Y ), ! c_Orderings_Oord__class_Oless( X, Y, Z ) }.
% 0.84/1.28 { ! class_Orderings_Opreorder( X ), ! c_Orderings_Oord__class_Oless( X, Z,
% 0.84/1.28 Y ), c_Orderings_Oord__class_Oless__eq( X, Z, Y ) }.
% 0.84/1.28 { ! class_Orderings_Olinorder( X ), ! c_Orderings_Oord__class_Oless__eq( X
% 0.84/1.28 , Z, Y ), c_Orderings_Oord__class_Oless( X, Z, Y ), Z = Y }.
% 0.84/1.28 { ! class_Orderings_Olinorder( X ), ! c_Orderings_Oord__class_Oless__eq( X
% 0.84/1.28 , Z, Y ), ! Z = Y, ! c_Orderings_Oord__class_Oless( X, Z, Y ) }.
% 0.84/1.28 { ! class_Orderings_Oorder( X ), ! c_Orderings_Oord__class_Oless__eq( X, Z
% 0.84/1.28 , Y ), c_Orderings_Oord__class_Oless( X, Z, Y ), Z = Y }.
% 0.84/1.28 { ! class_Orderings_Oorder( X ), ! c_Orderings_Oord__class_Oless__eq( X, Z
% 0.84/1.28 , Y ), Z = Y, c_Orderings_Oord__class_Oless( X, Z, Y ) }.
% 0.84/1.28 { ! class_Orderings_Oorder( X ), ! c_Orderings_Oord__class_Oless__eq( X, Z
% 0.84/1.28 , Y ), Y = Z, c_Orderings_Oord__class_Oless( X, Z, Y ) }.
% 0.84/1.28 { ! class_Orderings_Opreorder( X ), ! c_Orderings_Oord__class_Oless( X, Z,
% 0.84/1.28 Y ), ! c_Orderings_Oord__class_Oless__eq( X, Y, T ),
% 0.84/1.28 c_Orderings_Oord__class_Oless( X, Z, T ) }.
% 0.84/1.28 { ! class_Orderings_Oorder( X ), ! c_Orderings_Oord__class_Oless( X, Z, Y )
% 0.84/1.28 , ! c_Orderings_Oord__class_Oless__eq( X, T, Z ),
% 0.84/1.28 c_Orderings_Oord__class_Oless( X, T, Y ) }.
% 0.84/1.28 { ! class_Orderings_Opreorder( X ), ! c_Orderings_Oord__class_Oless__eq( X
% 0.84/1.28 , Z, Y ), ! c_Orderings_Oord__class_Oless( X, Y, T ),
% 0.84/1.28 c_Orderings_Oord__class_Oless( X, Z, T ) }.
% 0.84/1.28 { ! class_Orderings_Oorder( X ), ! c_Orderings_Oord__class_Oless__eq( X, Z
% 0.84/1.28 , Y ), ! c_Orderings_Oord__class_Oless( X, T, Z ),
% 0.84/1.28 c_Orderings_Oord__class_Oless( X, T, Y ) }.
% 0.84/1.28 { ! class_Orderings_Oord( X ), ! c_Orderings_Oord__class_Oless__eq( tc_fun
% 0.84/1.28 ( T, X ), Z, Y ), c_Orderings_Oord__class_Oless__eq( X, hAPP( Z, U ),
% 0.84/1.28 hAPP( Y, U ) ) }.
% 0.84/1.28 { ! class_Orderings_Oord( X ), ! c_Orderings_Oord__class_Oless__eq( X, hAPP
% 0.84/1.28 ( Z, skol60( X, Y, Z ) ), hAPP( Y, skol60( X, Y, Z ) ) ),
% 0.84/1.28 c_Orderings_Oord__class_Oless__eq( tc_fun( T, X ), Z, Y ) }.
% 0.84/1.28 { ! c_member( tc_prod( tc_Nat_Onat, tc_Nat_Onat ), c_Product__Type_OPair(
% 0.84/1.28 tc_Nat_Onat, tc_Nat_Onat, Y, X ), c_Transitive__Closure_Otrancl(
% 0.84/1.28 tc_Nat_Onat, c_Wellfounded_Opred__nat ) ), c_Orderings_Oord__class_Oless
% 0.84/1.28 ( tc_Nat_Onat, Y, X ) }.
% 0.84/1.28 { ! c_Orderings_Oord__class_Oless( tc_Nat_Onat, Y, X ), c_member( tc_prod(
% 0.84/1.28 tc_Nat_Onat, tc_Nat_Onat ), c_Product__Type_OPair( tc_Nat_Onat,
% 0.84/1.28 tc_Nat_Onat, Y, X ), c_Transitive__Closure_Otrancl( tc_Nat_Onat,
% 0.84/1.28 c_Wellfounded_Opred__nat ) ) }.
% 0.84/1.28 { ! c_member( tc_prod( tc_Nat_Onat, tc_Nat_Onat ), c_Product__Type_OPair(
% 0.84/1.28 tc_Nat_Onat, tc_Nat_Onat, Y, X ), c_Transitive__Closure_Ortrancl(
% 0.84/1.28 tc_Nat_Onat, c_Wellfounded_Opred__nat ) ),
% 0.84/1.28 c_Orderings_Oord__class_Oless__eq( tc_Nat_Onat, Y, X ) }.
% 0.84/1.28 { ! c_Orderings_Oord__class_Oless__eq( tc_Nat_Onat, Y, X ), c_member(
% 0.84/1.28 tc_prod( tc_Nat_Onat, tc_Nat_Onat ), c_Product__Type_OPair( tc_Nat_Onat,
% 0.84/1.28 tc_Nat_Onat, Y, X ), c_Transitive__Closure_Ortrancl( tc_Nat_Onat,
% 0.84/1.28 c_Wellfounded_Opred__nat ) ) }.
% 0.84/1.28 { ! class_Groups_Oordered__ab__group__add( X ), !
% 0.84/1.28 c_Groups_Ominus__class_Ominus( X, U, T ) = c_Groups_Ominus__class_Ominus
% 0.84/1.28 ( X, Z, Y ), ! c_Orderings_Oord__class_Oless( X, U, T ),
% 0.84/1.28 c_Orderings_Oord__class_Oless( X, Z, Y ) }.
% 0.84/1.28 { ! class_Groups_Oordered__ab__group__add( X ), !
% 0.84/1.28 c_Groups_Ominus__class_Ominus( X, U, T ) = c_Groups_Ominus__class_Ominus
% 0.84/1.28 ( X, Z, Y ), ! c_Orderings_Oord__class_Oless( X, Z, Y ),
% 0.84/1.28 c_Orderings_Oord__class_Oless( X, U, T ) }.
% 0.84/1.28 { ! c_Orderings_Oord__class_Oless__eq( tc_fun( T, tc_fun( Z, tc_HOL_Obool )
% 0.84/1.28 ), Y, X ), ! hBOOL( hAPP( hAPP( Y, W ), U ) ), hBOOL( hAPP( hAPP( X, W )
% 0.84/1.28 , U ) ) }.
% 0.84/1.28 { ! hBOOL( hAPP( hAPP( Z, Y ), X ) ), ! c_Orderings_Oord__class_Oless__eq(
% 0.84/1.28 tc_fun( W, tc_fun( U, tc_HOL_Obool ) ), Z, T ), hBOOL( hAPP( hAPP( T, Y )
% 0.84/1.28 , X ) ) }.
% 0.84/1.28 { ! c_Orderings_Oord__class_Oless( tc_fun( Z, tc_HOL_Obool ), Y, X ), !
% 0.84/1.28 c_Orderings_Oord__class_Oless( tc_fun( Z, tc_HOL_Obool ), X, T ),
% 0.84/1.28 c_Orderings_Oord__class_Oless( tc_fun( Z, tc_HOL_Obool ), Y, T ) }.
% 0.84/1.28 { ! class_Groups_Oab__group__add( X ), ! c_Groups_Ominus__class_Ominus( X,
% 0.84/1.28 U, T ) = c_Groups_Ominus__class_Ominus( X, Z, Y ), ! U = T, Z = Y }.
% 0.84/1.28 { ! class_Groups_Oab__group__add( X ), ! c_Groups_Ominus__class_Ominus( X,
% 0.84/1.28 U, T ) = c_Groups_Ominus__class_Ominus( X, Z, Y ), ! Z = Y, U = T }.
% 0.84/1.28 { c_Wellfounded_Oless__than = c_Transitive__Closure_Otrancl( tc_Nat_Onat,
% 0.84/1.28 c_Wellfounded_Opred__nat ) }.
% 0.84/1.28 { c_Wellfounded_Owf( tc_Nat_Onat, c_Wellfounded_Opred__nat ) }.
% 0.84/1.28 { ! class_Groups_Oordered__ab__group__add( X ), !
% 0.84/1.28 c_Groups_Ominus__class_Ominus( X, U, T ) = c_Groups_Ominus__class_Ominus
% 0.84/1.28 ( X, Z, Y ), ! c_Orderings_Oord__class_Oless__eq( X, U, T ),
% 0.84/1.28 c_Orderings_Oord__class_Oless__eq( X, Z, Y ) }.
% 0.84/1.28 { ! class_Groups_Oordered__ab__group__add( X ), !
% 0.84/1.28 c_Groups_Ominus__class_Ominus( X, U, T ) = c_Groups_Ominus__class_Ominus
% 0.84/1.28 ( X, Z, Y ), ! c_Orderings_Oord__class_Oless__eq( X, Z, Y ),
% 0.84/1.28 c_Orderings_Oord__class_Oless__eq( X, U, T ) }.
% 0.84/1.28 { ! c_Orderings_Oord__class_Oless( tc_Nat_Onat, Y, X ),
% 0.84/1.28 c_Orderings_Oord__class_Oless__eq( tc_Nat_Onat, Y, X ) }.
% 0.84/1.28 { ! c_Orderings_Oord__class_Oless( tc_Nat_Onat, Y, X ), ! Y = X }.
% 0.84/1.28 { ! c_Orderings_Oord__class_Oless__eq( tc_Nat_Onat, Y, X ), Y = X,
% 0.84/1.28 c_Orderings_Oord__class_Oless( tc_Nat_Onat, Y, X ) }.
% 0.84/1.28 { ! c_Orderings_Oord__class_Oless__eq( tc_Nat_Onat, Y, X ),
% 0.84/1.28 c_Orderings_Oord__class_Oless( tc_Nat_Onat, Y, X ), Y = X }.
% 0.84/1.28 { ! c_Orderings_Oord__class_Oless( tc_Nat_Onat, Y, X ),
% 0.84/1.28 c_Orderings_Oord__class_Oless__eq( tc_Nat_Onat, Y, X ) }.
% 0.84/1.28 { ! Y = X, c_Orderings_Oord__class_Oless__eq( tc_Nat_Onat, Y, X ) }.
% 0.84/1.28 { ! c_Orderings_Oord__class_Oless( tc_Nat_Onat, X, X ) }.
% 0.84/1.28 { Y = X, c_Orderings_Oord__class_Oless( tc_Nat_Onat, Y, X ),
% 0.84/1.28 c_Orderings_Oord__class_Oless( tc_Nat_Onat, X, Y ) }.
% 0.84/1.28 { ! c_Orderings_Oord__class_Oless( tc_Nat_Onat, Y, X ), ! Y = X }.
% 0.84/1.28 { ! c_Orderings_Oord__class_Oless( tc_Nat_Onat, X, Y ), ! Y = X }.
% 0.84/1.28 { Y = X, c_Orderings_Oord__class_Oless( tc_Nat_Onat, Y, X ),
% 0.84/1.28 c_Orderings_Oord__class_Oless( tc_Nat_Onat, X, Y ) }.
% 0.84/1.28 { ! c_Orderings_Oord__class_Oless( tc_Nat_Onat, X, X ) }.
% 0.84/1.28 { ! c_Orderings_Oord__class_Oless( tc_Nat_Onat, Y, X ), ! X = Y }.
% 0.84/1.28 { ! c_Orderings_Oord__class_Oless( tc_Nat_Onat, Y, X ), ! Y = X }.
% 0.84/1.28 { alpha45( X, Y, Z ), c_Orderings_Oord__class_Oless( tc_Nat_Onat, Y, Z ),
% 0.84/1.28 hBOOL( hAPP( hAPP( X, Y ), Z ) ) }.
% 0.84/1.28 { alpha45( X, Y, Z ), ! hBOOL( hAPP( hAPP( X, Y ), Z ) ), hBOOL( hAPP( hAPP
% 0.84/1.28 ( X, Y ), Z ) ) }.
% 0.84/1.28 { ! alpha45( X, Y, Z ), alpha47( X, Y, Z ), Z = Y }.
% 0.84/1.28 { ! alpha45( X, Y, Z ), alpha47( X, Y, Z ), ! hBOOL( hAPP( hAPP( X, Y ), Z
% 0.84/1.28 ) ) }.
% 0.84/1.28 { ! alpha47( X, Y, Z ), alpha45( X, Y, Z ) }.
% 0.84/1.28 { ! Z = Y, hBOOL( hAPP( hAPP( X, Y ), Z ) ), alpha45( X, Y, Z ) }.
% 0.84/1.28 { ! alpha47( X, Y, Z ), c_Orderings_Oord__class_Oless( tc_Nat_Onat, Z, Y )
% 0.84/1.28 }.
% 0.84/1.28 { ! alpha47( X, Y, Z ), ! hBOOL( hAPP( hAPP( X, Y ), Z ) ) }.
% 0.84/1.28 { ! c_Orderings_Oord__class_Oless( tc_Nat_Onat, Z, Y ), hBOOL( hAPP( hAPP(
% 0.84/1.28 X, Y ), Z ) ), alpha47( X, Y, Z ) }.
% 0.84/1.28 { ! c_Orderings_Oord__class_Oless( tc_Nat_Onat, Y, X ), !
% 0.84/1.28 c_Orderings_Oord__class_Oless( tc_Nat_Onat, Y, Z ),
% 0.84/1.28 c_Orderings_Oord__class_Oless( tc_Nat_Onat, c_Groups_Ominus__class_Ominus
% 0.84/1.28 ( tc_Nat_Onat, Z, X ), c_Groups_Ominus__class_Ominus( tc_Nat_Onat, Z, Y )
% 0.84/1.28 ) }.
% 0.84/1.28 { ! c_Orderings_Oord__class_Oless( tc_Nat_Onat, Y, X ),
% 0.84/1.28 c_Orderings_Oord__class_Oless( tc_Nat_Onat, c_Groups_Ominus__class_Ominus
% 0.84/1.28 ( tc_Nat_Onat, Y, Z ), X ) }.
% 0.84/1.28 { c_Orderings_Oord__class_Oless__eq( tc_Nat_Onat, X, X ) }.
% 0.84/1.28 { c_Orderings_Oord__class_Oless__eq( tc_Nat_Onat, Y, X ),
% 0.84/1.28 c_Orderings_Oord__class_Oless__eq( tc_Nat_Onat, X, Y ) }.
% 0.84/1.28 { ! Y = X, c_Orderings_Oord__class_Oless__eq( tc_Nat_Onat, Y, X ) }.
% 0.84/1.28 { ! c_Orderings_Oord__class_Oless__eq( tc_Nat_Onat, Y, X ), !
% 0.84/1.28 c_Orderings_Oord__class_Oless__eq( tc_Nat_Onat, X, Z ),
% 0.84/1.28 c_Orderings_Oord__class_Oless__eq( tc_Nat_Onat, Y, Z ) }.
% 0.84/1.28 { ! c_Orderings_Oord__class_Oless__eq( tc_Nat_Onat, Y, X ), !
% 0.84/1.28 c_Orderings_Oord__class_Oless__eq( tc_Nat_Onat, X, Y ), Y = X }.
% 0.84/1.28 { ! c_Orderings_Oord__class_Oless__eq( tc_Nat_Onat, Y, X ), !
% 0.84/1.28 c_Orderings_Oord__class_Oless__eq( tc_Nat_Onat, Y, Z ), !
% 0.84/1.28 c_Orderings_Oord__class_Oless__eq( tc_Nat_Onat,
% 0.84/1.28 c_Groups_Ominus__class_Ominus( tc_Nat_Onat, X, Y ),
% 0.84/1.28 c_Groups_Ominus__class_Ominus( tc_Nat_Onat, Z, Y ) ),
% 0.84/1.28 c_Orderings_Oord__class_Oless__eq( tc_Nat_Onat, X, Z ) }.
% 0.84/1.28 { ! c_Orderings_Oord__class_Oless__eq( tc_Nat_Onat, Y, X ), !
% 0.84/1.28 c_Orderings_Oord__class_Oless__eq( tc_Nat_Onat, Y, Z ), !
% 0.84/1.28 c_Orderings_Oord__class_Oless__eq( tc_Nat_Onat, X, Z ),
% 0.84/1.28 c_Orderings_Oord__class_Oless__eq( tc_Nat_Onat,
% 0.84/1.28 c_Groups_Ominus__class_Ominus( tc_Nat_Onat, X, Y ),
% 0.84/1.28 c_Groups_Ominus__class_Ominus( tc_Nat_Onat, Z, Y ) ) }.
% 0.84/1.28 { ! c_Orderings_Oord__class_Oless__eq( tc_Nat_Onat, Y, X ), !
% 0.84/1.28 c_Orderings_Oord__class_Oless__eq( tc_Nat_Onat, Y, Z ),
% 0.84/1.28 c_Groups_Ominus__class_Ominus( tc_Nat_Onat, c_Groups_Ominus__class_Ominus
% 0.84/1.28 ( tc_Nat_Onat, X, Y ), c_Groups_Ominus__class_Ominus( tc_Nat_Onat, Z, Y )
% 0.84/1.28 ) = c_Groups_Ominus__class_Ominus( tc_Nat_Onat, X, Z ) }.
% 0.84/1.28 { ! c_Orderings_Oord__class_Oless__eq( tc_Nat_Onat, Y, X ), !
% 0.84/1.28 c_Orderings_Oord__class_Oless__eq( tc_Nat_Onat, Y, Z ), !
% 0.84/1.28 c_Groups_Ominus__class_Ominus( tc_Nat_Onat, X, Y ) =
% 0.84/1.28 c_Groups_Ominus__class_Ominus( tc_Nat_Onat, Z, Y ), X = Z }.
% 0.84/1.28 { ! c_Orderings_Oord__class_Oless__eq( tc_Nat_Onat, Y, X ), !
% 0.84/1.28 c_Orderings_Oord__class_Oless__eq( tc_Nat_Onat, Y, Z ), ! X = Z,
% 0.84/1.28 c_Groups_Ominus__class_Ominus( tc_Nat_Onat, X, Y ) =
% 0.84/1.28 c_Groups_Ominus__class_Ominus( tc_Nat_Onat, Z, Y ) }.
% 0.84/1.28 { ! c_Orderings_Oord__class_Oless__eq( tc_Nat_Onat, Y, X ),
% 0.84/1.28 c_Groups_Ominus__class_Ominus( tc_Nat_Onat, X,
% 0.84/1.28 c_Groups_Ominus__class_Ominus( tc_Nat_Onat, X, Y ) ) = Y }.
% 0.84/1.28 { ! c_Orderings_Oord__class_Oless__eq( tc_Nat_Onat, Y, X ),
% 0.84/1.28 c_Orderings_Oord__class_Oless__eq( tc_Nat_Onat,
% 0.84/1.28 c_Groups_Ominus__class_Ominus( tc_Nat_Onat, Y, Z ),
% 0.84/1.28 c_Groups_Ominus__class_Ominus( tc_Nat_Onat, X, Z ) ) }.
% 0.84/1.28 { ! c_Orderings_Oord__class_Oless__eq( tc_Nat_Onat, Y, X ),
% 0.84/1.28 c_Orderings_Oord__class_Oless__eq( tc_Nat_Onat,
% 0.84/1.28 c_Groups_Ominus__class_Ominus( tc_Nat_Onat, Z, X ),
% 0.84/1.28 c_Groups_Ominus__class_Ominus( tc_Nat_Onat, Z, Y ) ) }.
% 0.84/1.28 { c_Orderings_Oord__class_Oless__eq( tc_Nat_Onat,
% 0.84/1.28 c_Groups_Ominus__class_Ominus( tc_Nat_Onat, Y, X ), Y ) }.
% 0.84/1.28 { ! c_Orderings_Oord__class_Oless( tc_Nat_Onat, Y, X ), !
% 0.84/1.28 c_Orderings_Oord__class_Oless__eq( tc_Nat_Onat, Z, Y ),
% 0.84/1.28 c_Orderings_Oord__class_Oless( tc_Nat_Onat, c_Groups_Ominus__class_Ominus
% 0.84/1.28 ( tc_Nat_Onat, Y, Z ), c_Groups_Ominus__class_Ominus( tc_Nat_Onat, X, Z )
% 0.84/1.28 ) }.
% 0.84/1.28 { ! c_Orderings_Oord__class_Oless__eq( tc_Nat_Onat, Y, X ), !
% 0.84/1.28 c_Orderings_Oord__class_Oless__eq( tc_Nat_Onat, Y, Z ), !
% 0.84/1.28 c_Orderings_Oord__class_Oless( tc_Nat_Onat, c_Groups_Ominus__class_Ominus
% 0.84/1.28 ( tc_Nat_Onat, X, Y ), c_Groups_Ominus__class_Ominus( tc_Nat_Onat, Z, Y )
% 0.84/1.28 ), c_Orderings_Oord__class_Oless( tc_Nat_Onat, X, Z ) }.
% 0.84/1.28 { ! c_Orderings_Oord__class_Oless__eq( tc_Nat_Onat, Y, X ), !
% 0.84/1.28 c_Orderings_Oord__class_Oless__eq( tc_Nat_Onat, Y, Z ), !
% 0.84/1.28 c_Orderings_Oord__class_Oless( tc_Nat_Onat, X, Z ),
% 0.84/1.28 c_Orderings_Oord__class_Oless( tc_Nat_Onat, c_Groups_Ominus__class_Ominus
% 0.84/1.28 ( tc_Nat_Onat, X, Y ), c_Groups_Ominus__class_Ominus( tc_Nat_Onat, Z, Y )
% 0.84/1.28 ) }.
% 0.84/1.28 { ! c_Orderings_Oord__class_Oless( tc_Nat_Onat, Y, X ),
% 0.84/1.28 c_Orderings_Oord__class_Oless__eq( tc_Nat_Onat, Y, X ) }.
% 0.84/1.28 { ! Y = X, c_Orderings_Oord__class_Oless__eq( tc_Nat_Onat, Y, X ) }.
% 0.84/1.28 { ! c_Orderings_Oord__class_Oless__eq( tc_Nat_Onat, Y, X ), Y = X,
% 0.84/1.28 c_Orderings_Oord__class_Oless( tc_Nat_Onat, Y, X ) }.
% 0.84/1.28 { ! c_Orderings_Oord__class_Oless( tc_Nat_Onat, Y, X ),
% 0.84/1.28 c_Orderings_Oord__class_Oless__eq( tc_Nat_Onat, Y, X ) }.
% 0.84/1.28 { ! c_Orderings_Oord__class_Oless__eq( tc_Nat_Onat, Y, X ), !
% 0.84/1.28 c_Orderings_Oord__class_Oless( tc_Nat_Onat, T, Z ), c_member( tc_prod(
% 0.84/1.28 tc_prod( tc_Nat_Onat, tc_Nat_Onat ), tc_prod( tc_Nat_Onat, tc_Nat_Onat )
% 0.84/1.28 ), c_Product__Type_OPair( tc_prod( tc_Nat_Onat, tc_Nat_Onat ), tc_prod(
% 0.84/1.28 tc_Nat_Onat, tc_Nat_Onat ), c_Product__Type_OPair( tc_Nat_Onat,
% 0.84/1.28 tc_Nat_Onat, Y, T ), c_Product__Type_OPair( tc_Nat_Onat, tc_Nat_Onat, X,
% 0.84/1.28 Z ) ), c_FunDef_Opair__less ) }.
% 0.84/1.28 { c_Relation_OField( T, c_Set_Oinsert( tc_prod( T, T ),
% 0.84/1.28 c_Product__Type_OPair( T, T, Z, Y ), X ) ) =
% 0.84/1.28 c_Lattices_Osemilattice__sup__class_Osup( tc_fun( T, tc_HOL_Obool ),
% 0.84/1.28 c_Set_Oinsert( T, Z, c_Set_Oinsert( T, Y, c_Orderings_Obot__class_Obot(
% 0.84/1.28 tc_fun( T, tc_HOL_Obool ) ) ) ), c_Relation_OField( T, X ) ) }.
% 0.84/1.28 { c_Wellfounded_Owf( X, c_Orderings_Obot__class_Obot( tc_fun( tc_prod( X, X
% 0.84/1.28 ), tc_HOL_Obool ) ) ) }.
% 0.84/1.28 { ! c_member( Y, X, c_Orderings_Obot__class_Obot( tc_fun( Y, tc_HOL_Obool )
% 0.84/1.28 ) ) }.
% 0.84/1.28 { c_Orderings_Oord__class_Oless__eq( tc_fun( Y, tc_HOL_Obool ),
% 0.84/1.28 c_Orderings_Obot__class_Obot( tc_fun( Y, tc_HOL_Obool ) ), X ) }.
% 0.84/1.28 { c_Groups_Ominus__class_Ominus( tc_Nat_Onat, c_Groups_Ominus__class_Ominus
% 0.84/1.28 ( tc_Nat_Onat, Z, Y ), X ) = c_Groups_Ominus__class_Ominus( tc_Nat_Onat,
% 0.84/1.28 c_Groups_Ominus__class_Ominus( tc_Nat_Onat, Z, X ), Y ) }.
% 0.84/1.28 { c_Set_Oinsert( Z, Y, X ) = c_Lattices_Osemilattice__sup__class_Osup(
% 0.84/1.28 tc_fun( Z, tc_HOL_Obool ), c_Set_Oinsert( Z, Y,
% 0.84/1.28 c_Orderings_Obot__class_Obot( tc_fun( Z, tc_HOL_Obool ) ) ), X ) }.
% 0.84/1.28 { c_Set_Oinsert( Z, Y, c_Groups_Ominus__class_Ominus( tc_fun( Z,
% 0.84/1.28 tc_HOL_Obool ), X, c_Set_Oinsert( Z, Y, c_Orderings_Obot__class_Obot(
% 0.84/1.28 tc_fun( Z, tc_HOL_Obool ) ) ) ) ) = c_Set_Oinsert( Z, Y, X ) }.
% 0.84/1.28 { c_Groups_Ominus__class_Ominus( tc_fun( T, tc_HOL_Obool ), Z,
% 0.84/1.28 c_Set_Oinsert( T, Y, X ) ) = c_Groups_Ominus__class_Ominus( tc_fun( T,
% 0.84/1.28 tc_HOL_Obool ), c_Groups_Ominus__class_Ominus( tc_fun( T, tc_HOL_Obool )
% 0.84/1.28 , Z, c_Set_Oinsert( T, Y, c_Orderings_Obot__class_Obot( tc_fun( T,
% 0.84/1.28 tc_HOL_Obool ) ) ) ), X ) }.
% 0.84/1.28 { c_Groups_Ominus__class_Ominus( tc_fun( T, tc_HOL_Obool ), Z,
% 0.84/1.28 c_Set_Oinsert( T, Y, X ) ) = c_Groups_Ominus__class_Ominus( tc_fun( T,
% 0.84/1.28 tc_HOL_Obool ), c_Groups_Ominus__class_Ominus( tc_fun( T, tc_HOL_Obool )
% 0.84/1.28 , Z, X ), c_Set_Oinsert( T, Y, c_Orderings_Obot__class_Obot( tc_fun( T,
% 0.84/1.28 tc_HOL_Obool ) ) ) ) }.
% 0.84/1.28 { c_Wellfounded_Owf( tc_prod( tc_Nat_Onat, tc_Nat_Onat ),
% 0.84/1.28 c_FunDef_Opair__less ) }.
% 0.84/1.28 { c_member( Y, skol61( X, Y ), X ), X = c_Orderings_Obot__class_Obot(
% 0.84/1.28 tc_fun( Y, tc_HOL_Obool ) ) }.
% 0.84/1.28 { ! X = c_Orderings_Obot__class_Obot( tc_fun( Y, tc_HOL_Obool ) ), !
% 0.84/1.28 c_member( Y, Z, X ) }.
% 0.84/1.28 { ! c_member( Y, Z, X ), ! X = c_Orderings_Obot__class_Obot( tc_fun( Y,
% 0.84/1.28 tc_HOL_Obool ) ) }.
% 0.84/1.28 { X = c_Orderings_Obot__class_Obot( tc_fun( Y, tc_HOL_Obool ) ), c_member(
% 0.84/1.28 Y, skol62( X, Y ), X ) }.
% 0.84/1.28 { ! c_member( Y, X, c_Orderings_Obot__class_Obot( tc_fun( Y, tc_HOL_Obool )
% 0.84/1.28 ) ) }.
% 0.84/1.28 { ! Y = c_Orderings_Obot__class_Obot( tc_fun( X, tc_HOL_Obool ) ), !
% 0.84/1.28 c_member( X, Z, Y ) }.
% 0.84/1.28 { ! class_Orderings_Obot( X ), hAPP( c_Orderings_Obot__class_Obot( tc_fun(
% 0.84/1.28 Z, X ) ), Y ) = c_Orderings_Obot__class_Obot( X ) }.
% 0.84/1.28 { c_Relation_Oantisym( X, c_Orderings_Obot__class_Obot( tc_fun( tc_prod( X
% 0.84/1.28 , X ), tc_HOL_Obool ) ) ) }.
% 0.84/1.28 { c_Relation_Ototal__on( Y, c_Orderings_Obot__class_Obot( tc_fun( Y,
% 0.84/1.28 tc_HOL_Obool ) ), X ) }.
% 0.84/1.28 { ! class_Lattices_Obounded__lattice__bot( X ), !
% 0.84/1.28 c_Lattices_Osemilattice__sup__class_Osup( X, Z, Y ) =
% 0.84/1.28 c_Orderings_Obot__class_Obot( X ), Z = c_Orderings_Obot__class_Obot( X )
% 0.84/1.28 }.
% 0.84/1.28 { ! class_Lattices_Obounded__lattice__bot( X ), !
% 0.84/1.28 c_Lattices_Osemilattice__sup__class_Osup( X, Z, Y ) =
% 0.84/1.28 c_Orderings_Obot__class_Obot( X ), Y = c_Orderings_Obot__class_Obot( X )
% 0.84/1.28 }.
% 0.84/1.28 { ! class_Lattices_Obounded__lattice__bot( X ), ! Z =
% 0.84/1.28 c_Orderings_Obot__class_Obot( X ), ! Y = c_Orderings_Obot__class_Obot( X
% 0.84/1.28 ), c_Lattices_Osemilattice__sup__class_Osup( X, Z, Y ) =
% 0.84/1.28 c_Orderings_Obot__class_Obot( X ) }.
% 0.84/1.28 { ! class_Lattices_Obounded__lattice__bot( X ),
% 0.84/1.28 c_Lattices_Osemilattice__sup__class_Osup( X, Y,
% 0.84/1.28 c_Orderings_Obot__class_Obot( X ) ) = Y }.
% 0.84/1.28 { ! class_Lattices_Obounded__lattice__bot( X ),
% 0.84/1.28 c_Lattices_Osemilattice__sup__class_Osup( X, c_Orderings_Obot__class_Obot
% 0.84/1.28 ( X ), Y ) = Y }.
% 0.84/1.28 { c_Order__Relation_Opartial__order__on( X, c_Orderings_Obot__class_Obot(
% 0.84/1.28 tc_fun( X, tc_HOL_Obool ) ), c_Orderings_Obot__class_Obot( tc_fun(
% 0.84/1.28 tc_prod( X, X ), tc_HOL_Obool ) ) ) }.
% 0.84/1.28 { c_Relation_OId__on( X, c_Orderings_Obot__class_Obot( tc_fun( X,
% 0.84/1.28 tc_HOL_Obool ) ) ) = c_Orderings_Obot__class_Obot( tc_fun( tc_prod( X, X
% 0.84/1.28 ), tc_HOL_Obool ) ) }.
% 0.84/1.28 { c_Order__Relation_Opreorder__on( X, c_Orderings_Obot__class_Obot( tc_fun
% 0.84/1.28 ( X, tc_HOL_Obool ) ), c_Orderings_Obot__class_Obot( tc_fun( tc_prod( X,
% 0.84/1.28 X ), tc_HOL_Obool ) ) ) }.
% 0.84/1.28 { ! c_Relation_ODomain( Z, Y, X ) = c_Orderings_Obot__class_Obot( tc_fun( Z
% 0.84/1.28 , tc_HOL_Obool ) ), X = c_Orderings_Obot__class_Obot( tc_fun( tc_prod( Z
% 0.84/1.28 , Y ), tc_HOL_Obool ) ) }.
% 0.84/1.28 { ! X = c_Orderings_Obot__class_Obot( tc_fun( tc_prod( Z, Y ), tc_HOL_Obool
% 0.84/1.28 ) ), c_Relation_ODomain( Z, Y, X ) = c_Orderings_Obot__class_Obot(
% 0.84/1.28 tc_fun( Z, tc_HOL_Obool ) ) }.
% 0.84/1.28 { c_Relation_ODomain( Y, X, c_Orderings_Obot__class_Obot( tc_fun( tc_prod(
% 0.84/1.28 Y, X ), tc_HOL_Obool ) ) ) = c_Orderings_Obot__class_Obot( tc_fun( Y,
% 0.84/1.28 tc_HOL_Obool ) ) }.
% 0.84/1.28 { ! c_Relation_ORange( Z, Y, X ) = c_Orderings_Obot__class_Obot( tc_fun( Y
% 0.84/1.28 , tc_HOL_Obool ) ), X = c_Orderings_Obot__class_Obot( tc_fun( tc_prod( Z
% 0.84/1.28 , Y ), tc_HOL_Obool ) ) }.
% 0.84/1.28 { ! X = c_Orderings_Obot__class_Obot( tc_fun( tc_prod( Z, Y ), tc_HOL_Obool
% 0.84/1.28 ) ), c_Relation_ORange( Z, Y, X ) = c_Orderings_Obot__class_Obot( tc_fun
% 0.84/1.28 ( Y, tc_HOL_Obool ) ) }.
% 0.84/1.28 { c_Relation_ORange( Y, X, c_Orderings_Obot__class_Obot( tc_fun( tc_prod( Y
% 0.84/1.28 , X ), tc_HOL_Obool ) ) ) = c_Orderings_Obot__class_Obot( tc_fun( X,
% 0.84/1.28 tc_HOL_Obool ) ) }.
% 0.84/1.28 { c_Relation_Orefl__on( X, c_Orderings_Obot__class_Obot( tc_fun( X,
% 0.84/1.28 tc_HOL_Obool ) ), c_Orderings_Obot__class_Obot( tc_fun( tc_prod( X, X ),
% 0.84/1.28 tc_HOL_Obool ) ) ) }.
% 0.84/1.28 { c_Order__Relation_Olinear__order__on( X, c_Orderings_Obot__class_Obot(
% 0.84/1.28 tc_fun( X, tc_HOL_Obool ) ), c_Orderings_Obot__class_Obot( tc_fun(
% 0.84/1.28 tc_prod( X, X ), tc_HOL_Obool ) ) ) }.
% 0.84/1.28 { c_Groups_Ominus__class_Ominus( tc_fun( Y, tc_HOL_Obool ), X, X ) =
% 0.84/1.28 c_Orderings_Obot__class_Obot( tc_fun( Y, tc_HOL_Obool ) ) }.
% 0.84/1.28 { c_Groups_Ominus__class_Ominus( tc_fun( Y, tc_HOL_Obool ), X,
% 0.84/1.28 c_Orderings_Obot__class_Obot( tc_fun( Y, tc_HOL_Obool ) ) ) = X }.
% 0.84/1.28 { c_Groups_Ominus__class_Ominus( tc_fun( Y, tc_HOL_Obool ),
% 0.84/1.28 c_Orderings_Obot__class_Obot( tc_fun( Y, tc_HOL_Obool ) ), X ) =
% 0.84/1.28 c_Orderings_Obot__class_Obot( tc_fun( Y, tc_HOL_Obool ) ) }.
% 0.84/1.28 { ! c_Lattices_Osemilattice__sup__class_Osup( tc_fun( Z, tc_HOL_Obool ), Y
% 0.84/1.28 , X ) = c_Orderings_Obot__class_Obot( tc_fun( Z, tc_HOL_Obool ) ), Y =
% 0.84/1.28 c_Orderings_Obot__class_Obot( tc_fun( Z, tc_HOL_Obool ) ) }.
% 0.84/1.28 { ! c_Lattices_Osemilattice__sup__class_Osup( tc_fun( Z, tc_HOL_Obool ), Y
% 0.84/1.28 , X ) = c_Orderings_Obot__class_Obot( tc_fun( Z, tc_HOL_Obool ) ), X =
% 0.84/1.28 c_Orderings_Obot__class_Obot( tc_fun( Z, tc_HOL_Obool ) ) }.
% 0.84/1.28 { ! Y = c_Orderings_Obot__class_Obot( tc_fun( Z, tc_HOL_Obool ) ), ! X =
% 0.84/1.28 c_Orderings_Obot__class_Obot( tc_fun( Z, tc_HOL_Obool ) ),
% 0.84/1.28 c_Lattices_Osemilattice__sup__class_Osup( tc_fun( Z, tc_HOL_Obool ), Y, X
% 0.84/1.28 ) = c_Orderings_Obot__class_Obot( tc_fun( Z, tc_HOL_Obool ) ) }.
% 0.84/1.28 { c_Lattices_Osemilattice__sup__class_Osup( tc_fun( Y, tc_HOL_Obool ), X,
% 0.84/1.28 c_Orderings_Obot__class_Obot( tc_fun( Y, tc_HOL_Obool ) ) ) = X }.
% 0.84/1.28 { c_Lattices_Osemilattice__sup__class_Osup( tc_fun( Y, tc_HOL_Obool ),
% 0.84/1.28 c_Orderings_Obot__class_Obot( tc_fun( Y, tc_HOL_Obool ) ), X ) = X }.
% 0.84/1.28 { ! c_Set_Oinsert( Z, Y, c_Orderings_Obot__class_Obot( tc_fun( Z,
% 0.84/1.28 tc_HOL_Obool ) ) ) = c_Set_Oinsert( Z, X, c_Orderings_Obot__class_Obot(
% 0.84/1.28 tc_fun( Z, tc_HOL_Obool ) ) ), Y = X }.
% 0.84/1.28 { ! c_Set_Oinsert( U, T, c_Set_Oinsert( U, Z, c_Orderings_Obot__class_Obot
% 0.84/1.28 ( tc_fun( U, tc_HOL_Obool ) ) ) ) = c_Set_Oinsert( U, Y, c_Set_Oinsert( U
% 0.84/1.28 , X, c_Orderings_Obot__class_Obot( tc_fun( U, tc_HOL_Obool ) ) ) ),
% 0.84/1.28 alpha13( X, Y, Z, T ), alpha23( X, Y, Z, T ) }.
% 0.84/1.28 { ! alpha13( X, Y, Z, T ), c_Set_Oinsert( U, T, c_Set_Oinsert( U, Z,
% 0.84/1.28 c_Orderings_Obot__class_Obot( tc_fun( U, tc_HOL_Obool ) ) ) ) =
% 0.84/1.28 c_Set_Oinsert( U, Y, c_Set_Oinsert( U, X, c_Orderings_Obot__class_Obot(
% 0.84/1.28 tc_fun( U, tc_HOL_Obool ) ) ) ) }.
% 0.84/1.28 { ! alpha23( X, Y, Z, T ), c_Set_Oinsert( U, T, c_Set_Oinsert( U, Z,
% 0.84/1.28 c_Orderings_Obot__class_Obot( tc_fun( U, tc_HOL_Obool ) ) ) ) =
% 0.84/1.28 c_Set_Oinsert( U, Y, c_Set_Oinsert( U, X, c_Orderings_Obot__class_Obot(
% 0.84/1.28 tc_fun( U, tc_HOL_Obool ) ) ) ) }.
% 0.84/1.28 { ! alpha23( X, Y, Z, T ), T = X }.
% 0.84/1.28 { ! alpha23( X, Y, Z, T ), Z = Y }.
% 0.84/1.28 { ! T = X, ! Z = Y, alpha23( X, Y, Z, T ) }.
% 0.84/1.28 { ! alpha13( X, Y, Z, T ), T = Y }.
% 0.84/1.28 { ! alpha13( X, Y, Z, T ), Z = X }.
% 0.84/1.28 { ! T = Y, ! Z = X, alpha13( X, Y, Z, T ) }.
% 0.84/1.28 { ! c_Set_Oinsert( Z, Y, X ) = c_Orderings_Obot__class_Obot( tc_fun( Z,
% 0.84/1.28 tc_HOL_Obool ) ) }.
% 0.84/1.28 { ! c_Orderings_Obot__class_Obot( tc_fun( Z, tc_HOL_Obool ) ) =
% 0.84/1.28 c_Set_Oinsert( Z, Y, X ) }.
% 0.84/1.28 { c_Relation_OField( X, c_Orderings_Obot__class_Obot( tc_fun( tc_prod( X, X
% 0.84/1.28 ), tc_HOL_Obool ) ) ) = c_Orderings_Obot__class_Obot( tc_fun( X,
% 0.84/1.28 tc_HOL_Obool ) ) }.
% 0.84/1.28 { c_Order__Relation_Owell__order__on( X, c_Orderings_Obot__class_Obot(
% 0.84/1.28 tc_fun( X, tc_HOL_Obool ) ), c_Orderings_Obot__class_Obot( tc_fun(
% 0.84/1.28 tc_prod( X, X ), tc_HOL_Obool ) ) ) }.
% 0.84/1.28 { ! c_Orderings_Oord__class_Oless__eq( tc_fun( Z, tc_HOL_Obool ), Y,
% 0.84/1.28 c_Set_Oinsert( Z, X, c_Orderings_Obot__class_Obot( tc_fun( Z,
% 0.84/1.28 tc_HOL_Obool ) ) ) ), Y = c_Orderings_Obot__class_Obot( tc_fun( Z,
% 0.84/1.28 tc_HOL_Obool ) ), Y = c_Set_Oinsert( Z, X, c_Orderings_Obot__class_Obot(
% 0.84/1.28 tc_fun( Z, tc_HOL_Obool ) ) ) }.
% 0.84/1.28 { ! c_member( Z, Y, c_Set_Oinsert( Z, X, c_Orderings_Obot__class_Obot(
% 0.84/1.28 tc_fun( Z, tc_HOL_Obool ) ) ) ), Y = X }.
% 0.84/1.28 { ! c_member( Z, Y, c_Set_Oinsert( Z, X, c_Orderings_Obot__class_Obot(
% 0.84/1.28 tc_fun( Z, tc_HOL_Obool ) ) ) ), Y = X }.
% 0.84/1.28 { ! Y = X, c_member( Z, Y, c_Set_Oinsert( Z, X,
% 0.84/1.28 c_Orderings_Obot__class_Obot( tc_fun( Z, tc_HOL_Obool ) ) ) ) }.
% 0.84/1.28 { c_Transitive__Closure_Otrancl( X, c_Orderings_Obot__class_Obot( tc_fun(
% 0.84/1.28 tc_prod( X, X ), tc_HOL_Obool ) ) ) = c_Orderings_Obot__class_Obot(
% 0.84/1.28 tc_fun( tc_prod( X, X ), tc_HOL_Obool ) ) }.
% 0.84/1.28 { ! class_Orderings_Obot( X ), c_Orderings_Oord__class_Oless__eq( X,
% 0.84/1.28 c_Orderings_Obot__class_Obot( X ), Y ) }.
% 0.84/1.28 { ! Y = c_Orderings_Obot__class_Obot( tc_fun( tc_prod( X, X ), tc_HOL_Obool
% 0.84/1.28 ) ), c_Orderings_Oord__class_Oless__eq( tc_fun( tc_prod( X, X ),
% 0.84/1.28 tc_HOL_Obool ), Y, Z ) }.
% 0.84/1.28 { ! c_Orderings_Oord__class_Oless__eq( tc_fun( Y, tc_HOL_Obool ), X,
% 0.84/1.28 c_Orderings_Obot__class_Obot( tc_fun( Y, tc_HOL_Obool ) ) ), X =
% 0.84/1.28 c_Orderings_Obot__class_Obot( tc_fun( Y, tc_HOL_Obool ) ) }.
% 0.84/1.28 { ! X = c_Orderings_Obot__class_Obot( tc_fun( Y, tc_HOL_Obool ) ),
% 0.84/1.28 c_Orderings_Oord__class_Oless__eq( tc_fun( Y, tc_HOL_Obool ), X,
% 0.84/1.28 c_Orderings_Obot__class_Obot( tc_fun( Y, tc_HOL_Obool ) ) ) }.
% 0.84/1.28 { ! c_Orderings_Oord__class_Oless( tc_fun( Y, tc_HOL_Obool ), X,
% 0.84/1.28 c_Orderings_Obot__class_Obot( tc_fun( Y, tc_HOL_Obool ) ) ) }.
% 0.84/1.28 { c_Transitive__Closure_Ortrancl( X, c_Orderings_Obot__class_Obot( tc_fun(
% 0.84/1.28 tc_prod( X, X ), tc_HOL_Obool ) ) ) = c_Relation_OId( X ) }.
% 0.84/1.28 { c_FunDef_Opair__less = c_Wellfounded_Olex__prod( tc_Nat_Onat, tc_Nat_Onat
% 0.84/1.28 , c_Wellfounded_Oless__than, c_Wellfounded_Oless__than ) }.
% 0.84/1.28 { ! c_member( Z, Y, X ), c_Set_Oinsert( Z, Y, c_Groups_Ominus__class_Ominus
% 0.84/1.28 ( tc_fun( Z, tc_HOL_Obool ), X, c_Set_Oinsert( Z, Y,
% 0.84/1.28 c_Orderings_Obot__class_Obot( tc_fun( Z, tc_HOL_Obool ) ) ) ) ) = X }.
% 0.84/1.28 { c_member( Z, Y, X ), c_Groups_Ominus__class_Ominus( tc_fun( Z,
% 0.84/1.28 tc_HOL_Obool ), c_Set_Oinsert( Z, Y, X ), c_Set_Oinsert( Z, Y,
% 0.84/1.28 c_Orderings_Obot__class_Obot( tc_fun( Z, tc_HOL_Obool ) ) ) ) = X }.
% 0.84/1.28 { ! c_Orderings_Oord__class_Oless__eq( tc_fun( T, tc_HOL_Obool ), Z,
% 0.84/1.28 c_Set_Oinsert( T, Y, X ) ), alpha14( X, Y, Z, T ) }.
% 0.84/1.28 { ! c_Orderings_Oord__class_Oless__eq( tc_fun( T, tc_HOL_Obool ), Z,
% 0.84/1.28 c_Set_Oinsert( T, Y, X ) ), alpha24( X, Y, Z, T ) }.
% 0.84/1.28 { ! alpha14( X, Y, Z, T ), ! alpha24( X, Y, Z, T ),
% 0.84/1.28 c_Orderings_Oord__class_Oless__eq( tc_fun( T, tc_HOL_Obool ), Z,
% 0.84/1.28 c_Set_Oinsert( T, Y, X ) ) }.
% 0.84/1.28 { ! alpha24( X, Y, Z, T ), c_member( T, Y, Z ),
% 0.84/1.28 c_Orderings_Oord__class_Oless__eq( tc_fun( T, tc_HOL_Obool ), Z, X ) }.
% 0.84/1.28 { ! c_member( T, Y, Z ), alpha24( X, Y, Z, T ) }.
% 0.84/1.28 { ! c_Orderings_Oord__class_Oless__eq( tc_fun( T, tc_HOL_Obool ), Z, X ),
% 0.84/1.28 alpha24( X, Y, Z, T ) }.
% 0.84/1.28 { ! alpha14( X, Y, Z, T ), ! c_member( T, Y, Z ),
% 0.84/1.28 c_Orderings_Oord__class_Oless__eq( tc_fun( T, tc_HOL_Obool ),
% 0.84/1.28 c_Groups_Ominus__class_Ominus( tc_fun( T, tc_HOL_Obool ), Z,
% 0.84/1.28 c_Set_Oinsert( T, Y, c_Orderings_Obot__class_Obot( tc_fun( T,
% 0.84/1.28 tc_HOL_Obool ) ) ) ), X ) }.
% 0.84/1.28 { c_member( T, Y, Z ), alpha14( X, Y, Z, T ) }.
% 0.84/1.28 { ! c_Orderings_Oord__class_Oless__eq( tc_fun( T, tc_HOL_Obool ),
% 0.84/1.28 c_Groups_Ominus__class_Ominus( tc_fun( T, tc_HOL_Obool ), Z,
% 0.84/1.28 c_Set_Oinsert( T, Y, c_Orderings_Obot__class_Obot( tc_fun( T,
% 0.84/1.28 tc_HOL_Obool ) ) ) ), X ), alpha14( X, Y, Z, T ) }.
% 0.84/1.28 { ! c_Orderings_Oord__class_Oless__eq( tc_fun( T, tc_HOL_Obool ),
% 0.84/1.28 c_Groups_Ominus__class_Ominus( tc_fun( T, tc_HOL_Obool ), Z,
% 0.84/1.28 c_Set_Oinsert( T, Y, c_Orderings_Obot__class_Obot( tc_fun( T,
% 0.84/1.28 tc_HOL_Obool ) ) ) ), X ), ! c_member( T, Y, Z ),
% 0.84/1.28 c_Orderings_Oord__class_Oless__eq( tc_fun( T, tc_HOL_Obool ), Z,
% 0.84/1.28 c_Set_Oinsert( T, Y, X ) ) }.
% 0.84/1.28 { ! c_Orderings_Oord__class_Oless( tc_Nat_Onat, Y, X ), c_member( tc_prod(
% 0.84/1.28 tc_prod( tc_Nat_Onat, tc_Nat_Onat ), tc_prod( tc_Nat_Onat, tc_Nat_Onat )
% 0.84/1.28 ), c_Product__Type_OPair( tc_prod( tc_Nat_Onat, tc_Nat_Onat ), tc_prod(
% 0.84/1.28 tc_Nat_Onat, tc_Nat_Onat ), c_Product__Type_OPair( tc_Nat_Onat,
% 0.84/1.28 tc_Nat_Onat, Y, T ), c_Product__Type_OPair( tc_Nat_Onat, tc_Nat_Onat, X,
% 0.84/1.28 Z ) ), c_FunDef_Opair__less ) }.
% 0.84/1.28 { ! c_Orderings_Oord__class_Oless( tc_fun( T, tc_HOL_Obool ), Z,
% 0.84/1.28 c_Set_Oinsert( T, Y, X ) ), alpha15( X, Y, Z, T ) }.
% 0.84/1.28 { ! c_Orderings_Oord__class_Oless( tc_fun( T, tc_HOL_Obool ), Z,
% 0.84/1.28 c_Set_Oinsert( T, Y, X ) ), alpha25( X, Y, Z, T ) }.
% 0.84/1.28 { ! alpha15( X, Y, Z, T ), ! alpha25( X, Y, Z, T ),
% 0.84/1.28 c_Orderings_Oord__class_Oless( tc_fun( T, tc_HOL_Obool ), Z,
% 0.84/1.28 c_Set_Oinsert( T, Y, X ) ) }.
% 0.84/1.28 { ! alpha25( X, Y, Z, T ), c_member( T, Y, X ), alpha32( X, Y, Z, T ) }.
% 0.84/1.28 { ! c_member( T, Y, X ), alpha25( X, Y, Z, T ) }.
% 0.84/1.28 { ! alpha32( X, Y, Z, T ), alpha25( X, Y, Z, T ) }.
% 0.84/1.28 { ! alpha32( X, Y, Z, T ), alpha36( X, Y, Z, T ) }.
% 0.84/1.28 { ! alpha32( X, Y, Z, T ), alpha39( X, Y, Z, T ) }.
% 0.84/1.28 { ! alpha36( X, Y, Z, T ), ! alpha39( X, Y, Z, T ), alpha32( X, Y, Z, T ) }
% 0.84/1.28 .
% 0.84/1.28 { ! alpha39( X, Y, Z, T ), c_member( T, Y, Z ),
% 0.84/1.28 c_Orderings_Oord__class_Oless__eq( tc_fun( T, tc_HOL_Obool ), Z, X ) }.
% 0.84/1.28 { ! c_member( T, Y, Z ), alpha39( X, Y, Z, T ) }.
% 0.84/1.28 { ! c_Orderings_Oord__class_Oless__eq( tc_fun( T, tc_HOL_Obool ), Z, X ),
% 0.84/1.28 alpha39( X, Y, Z, T ) }.
% 0.84/1.28 { ! alpha36( X, Y, Z, T ), ! c_member( T, Y, Z ),
% 0.84/1.28 c_Orderings_Oord__class_Oless( tc_fun( T, tc_HOL_Obool ),
% 0.84/1.28 c_Groups_Ominus__class_Ominus( tc_fun( T, tc_HOL_Obool ), Z,
% 0.84/1.28 c_Set_Oinsert( T, Y, c_Orderings_Obot__class_Obot( tc_fun( T,
% 0.84/1.28 tc_HOL_Obool ) ) ) ), X ) }.
% 0.84/1.28 { c_member( T, Y, Z ), alpha36( X, Y, Z, T ) }.
% 0.84/1.28 { ! c_Orderings_Oord__class_Oless( tc_fun( T, tc_HOL_Obool ),
% 0.84/1.28 c_Groups_Ominus__class_Ominus( tc_fun( T, tc_HOL_Obool ), Z,
% 0.84/1.28 c_Set_Oinsert( T, Y, c_Orderings_Obot__class_Obot( tc_fun( T,
% 0.84/1.28 tc_HOL_Obool ) ) ) ), X ), alpha36( X, Y, Z, T ) }.
% 0.84/1.28 { ! alpha15( X, Y, Z, T ), ! c_member( T, Y, X ),
% 0.84/1.28 c_Orderings_Oord__class_Oless( tc_fun( T, tc_HOL_Obool ), Z, X ) }.
% 0.84/1.28 { c_member( T, Y, X ), alpha15( X, Y, Z, T ) }.
% 0.84/1.28 { ! c_Orderings_Oord__class_Oless( tc_fun( T, tc_HOL_Obool ), Z, X ),
% 0.84/1.28 alpha15( X, Y, Z, T ) }.
% 0.84/1.28 { ! c_member( tc_prod( tc_Nat_Onat, tc_Nat_Onat ), Y, X ), ! c_member(
% 0.84/1.28 tc_prod( tc_prod( tc_Nat_Onat, tc_Nat_Onat ), tc_prod( tc_Nat_Onat,
% 0.84/1.28 tc_Nat_Onat ) ), c_Product__Type_OPair( tc_prod( tc_Nat_Onat, tc_Nat_Onat
% 0.84/1.28 ), tc_prod( tc_Nat_Onat, tc_Nat_Onat ), Z, Y ), c_FunDef_Opair__less ),
% 0.84/1.28 ! c_member( tc_prod( tc_fun( tc_prod( tc_Nat_Onat, tc_Nat_Onat ),
% 0.84/1.28 tc_HOL_Obool ), tc_fun( tc_prod( tc_Nat_Onat, tc_Nat_Onat ), tc_HOL_Obool
% 0.84/1.28 ) ), c_Product__Type_OPair( tc_fun( tc_prod( tc_Nat_Onat, tc_Nat_Onat )
% 0.84/1.28 , tc_HOL_Obool ), tc_fun( tc_prod( tc_Nat_Onat, tc_Nat_Onat ),
% 0.84/1.28 tc_HOL_Obool ), T, X ), c_FunDef_Omax__strict ), c_member( tc_prod(
% 0.84/1.28 tc_fun( tc_prod( tc_Nat_Onat, tc_Nat_Onat ), tc_HOL_Obool ), tc_fun(
% 0.84/1.28 tc_prod( tc_Nat_Onat, tc_Nat_Onat ), tc_HOL_Obool ) ),
% 0.84/1.28 c_Product__Type_OPair( tc_fun( tc_prod( tc_Nat_Onat, tc_Nat_Onat ),
% 0.84/1.28 tc_HOL_Obool ), tc_fun( tc_prod( tc_Nat_Onat, tc_Nat_Onat ), tc_HOL_Obool
% 0.84/1.28 ), c_Set_Oinsert( tc_prod( tc_Nat_Onat, tc_Nat_Onat ), Z, T ), X ),
% 0.84/1.28 c_FunDef_Omax__strict ) }.
% 0.84/1.28 { ! c_member( tc_prod( tc_Nat_Onat, tc_Nat_Onat ), Y, X ), ! c_member(
% 0.84/1.28 tc_prod( tc_prod( tc_Nat_Onat, tc_Nat_Onat ), tc_prod( tc_Nat_Onat,
% 0.84/1.28 tc_Nat_Onat ) ), c_Product__Type_OPair( tc_prod( tc_Nat_Onat, tc_Nat_Onat
% 0.84/1.28 ), tc_prod( tc_Nat_Onat, tc_Nat_Onat ), Y, Z ), c_FunDef_Opair__less ),
% 0.84/1.28 ! c_member( tc_prod( tc_fun( tc_prod( tc_Nat_Onat, tc_Nat_Onat ),
% 0.84/1.28 tc_HOL_Obool ), tc_fun( tc_prod( tc_Nat_Onat, tc_Nat_Onat ), tc_HOL_Obool
% 0.84/1.28 ) ), c_Product__Type_OPair( tc_fun( tc_prod( tc_Nat_Onat, tc_Nat_Onat )
% 0.84/1.28 , tc_HOL_Obool ), tc_fun( tc_prod( tc_Nat_Onat, tc_Nat_Onat ),
% 0.84/1.28 tc_HOL_Obool ), X, T ), c_FunDef_Omin__strict ), c_member( tc_prod(
% 0.84/1.28 tc_fun( tc_prod( tc_Nat_Onat, tc_Nat_Onat ), tc_HOL_Obool ), tc_fun(
% 0.84/1.28 tc_prod( tc_Nat_Onat, tc_Nat_Onat ), tc_HOL_Obool ) ),
% 0.84/1.28 c_Product__Type_OPair( tc_fun( tc_prod( tc_Nat_Onat, tc_Nat_Onat ),
% 0.84/1.28 tc_HOL_Obool ), tc_fun( tc_prod( tc_Nat_Onat, tc_Nat_Onat ), tc_HOL_Obool
% 0.84/1.28 ), X, c_Set_Oinsert( tc_prod( tc_Nat_Onat, tc_Nat_Onat ), Z, T ) ),
% 0.84/1.28 c_FunDef_Omin__strict ) }.
% 0.84/1.28 { X = c_Orderings_Obot__class_Obot( tc_fun( tc_prod( tc_Nat_Onat,
% 0.84/1.28 tc_Nat_Onat ), tc_HOL_Obool ) ), c_member( tc_prod( tc_fun( tc_prod(
% 0.84/1.28 tc_Nat_Onat, tc_Nat_Onat ), tc_HOL_Obool ), tc_fun( tc_prod( tc_Nat_Onat
% 0.84/1.28 , tc_Nat_Onat ), tc_HOL_Obool ) ), c_Product__Type_OPair( tc_fun( tc_prod
% 0.84/1.28 ( tc_Nat_Onat, tc_Nat_Onat ), tc_HOL_Obool ), tc_fun( tc_prod(
% 0.84/1.28 tc_Nat_Onat, tc_Nat_Onat ), tc_HOL_Obool ), X,
% 0.84/1.28 c_Orderings_Obot__class_Obot( tc_fun( tc_prod( tc_Nat_Onat, tc_Nat_Onat )
% 0.84/1.28 , tc_HOL_Obool ) ) ), c_FunDef_Omin__strict ) }.
% 0.84/1.28 { ! c_Orderings_Oord__class_Oless__eq( tc_Nat_Onat, Y, X ), !
% 0.84/1.28 c_Orderings_Oord__class_Oless__eq( tc_Nat_Onat, T, Z ), c_member( tc_prod
% 0.84/1.28 ( tc_prod( tc_Nat_Onat, tc_Nat_Onat ), tc_prod( tc_Nat_Onat, tc_Nat_Onat
% 0.84/1.28 ) ), c_Product__Type_OPair( tc_prod( tc_Nat_Onat, tc_Nat_Onat ), tc_prod
% 0.84/1.28 ( tc_Nat_Onat, tc_Nat_Onat ), c_Product__Type_OPair( tc_Nat_Onat,
% 0.84/1.28 tc_Nat_Onat, Y, T ), c_Product__Type_OPair( tc_Nat_Onat, tc_Nat_Onat, X,
% 0.84/1.28 Z ) ), c_FunDef_Opair__leq ) }.
% 0.84/1.28 { ! c_Orderings_Oord__class_Oless( tc_Nat_Onat, Y, X ), c_member( tc_prod(
% 0.84/1.28 tc_prod( tc_Nat_Onat, tc_Nat_Onat ), tc_prod( tc_Nat_Onat, tc_Nat_Onat )
% 0.84/1.28 ), c_Product__Type_OPair( tc_prod( tc_Nat_Onat, tc_Nat_Onat ), tc_prod(
% 0.84/1.28 tc_Nat_Onat, tc_Nat_Onat ), c_Product__Type_OPair( tc_Nat_Onat,
% 0.84/1.28 tc_Nat_Onat, Y, T ), c_Product__Type_OPair( tc_Nat_Onat, tc_Nat_Onat, X,
% 0.84/1.28 Z ) ), c_FunDef_Opair__leq ) }.
% 0.84/1.28 { c_FunDef_Opair__leq = c_Lattices_Osemilattice__sup__class_Osup( tc_fun(
% 0.84/1.28 tc_prod( tc_prod( tc_Nat_Onat, tc_Nat_Onat ), tc_prod( tc_Nat_Onat,
% 0.84/1.28 tc_Nat_Onat ) ), tc_HOL_Obool ), c_FunDef_Opair__less, c_Relation_OId(
% 0.84/1.28 tc_prod( tc_Nat_Onat, tc_Nat_Onat ) ) ) }.
% 0.84/1.28 { ! c_member( tc_prod( tc_Nat_Onat, tc_Nat_Onat ), Y, X ), ! c_member(
% 0.84/1.28 tc_prod( tc_prod( tc_Nat_Onat, tc_Nat_Onat ), tc_prod( tc_Nat_Onat,
% 0.84/1.28 tc_Nat_Onat ) ), c_Product__Type_OPair( tc_prod( tc_Nat_Onat, tc_Nat_Onat
% 0.84/1.28 ), tc_prod( tc_Nat_Onat, tc_Nat_Onat ), Z, Y ), c_FunDef_Opair__leq ), !
% 0.84/1.28 c_member( tc_prod( tc_fun( tc_prod( tc_Nat_Onat, tc_Nat_Onat ),
% 0.84/1.28 tc_HOL_Obool ), tc_fun( tc_prod( tc_Nat_Onat, tc_Nat_Onat ), tc_HOL_Obool
% 0.84/1.28 ) ), c_Product__Type_OPair( tc_fun( tc_prod( tc_Nat_Onat, tc_Nat_Onat )
% 0.84/1.28 , tc_HOL_Obool ), tc_fun( tc_prod( tc_Nat_Onat, tc_Nat_Onat ),
% 0.84/1.28 tc_HOL_Obool ), T, X ), c_FunDef_Omax__weak ), c_member( tc_prod( tc_fun
% 0.84/1.28 ( tc_prod( tc_Nat_Onat, tc_Nat_Onat ), tc_HOL_Obool ), tc_fun( tc_prod(
% 0.84/1.28 tc_Nat_Onat, tc_Nat_Onat ), tc_HOL_Obool ) ), c_Product__Type_OPair(
% 0.84/1.28 tc_fun( tc_prod( tc_Nat_Onat, tc_Nat_Onat ), tc_HOL_Obool ), tc_fun(
% 0.84/1.28 tc_prod( tc_Nat_Onat, tc_Nat_Onat ), tc_HOL_Obool ), c_Set_Oinsert(
% 0.84/1.28 tc_prod( tc_Nat_Onat, tc_Nat_Onat ), Z, T ), X ), c_FunDef_Omax__weak ) }
% 0.84/1.28 .
% 0.84/1.28 { ! c_member( tc_prod( tc_Nat_Onat, tc_Nat_Onat ), Y, X ), ! c_member(
% 0.84/1.28 tc_prod( tc_prod( tc_Nat_Onat, tc_Nat_Onat ), tc_prod( tc_Nat_Onat,
% 0.84/1.28 tc_Nat_Onat ) ), c_Product__Type_OPair( tc_prod( tc_Nat_Onat, tc_Nat_Onat
% 0.84/1.28 ), tc_prod( tc_Nat_Onat, tc_Nat_Onat ), Y, Z ), c_FunDef_Opair__leq ), !
% 0.84/1.28 c_member( tc_prod( tc_fun( tc_prod( tc_Nat_Onat, tc_Nat_Onat ),
% 0.84/1.28 tc_HOL_Obool ), tc_fun( tc_prod( tc_Nat_Onat, tc_Nat_Onat ), tc_HOL_Obool
% 0.84/1.28 ) ), c_Product__Type_OPair( tc_fun( tc_prod( tc_Nat_Onat, tc_Nat_Onat )
% 0.84/1.28 , tc_HOL_Obool ), tc_fun( tc_prod( tc_Nat_Onat, tc_Nat_Onat ),
% 0.84/1.28 tc_HOL_Obool ), X, T ), c_FunDef_Omin__weak ), c_member( tc_prod( tc_fun
% 0.84/1.28 ( tc_prod( tc_Nat_Onat, tc_Nat_Onat ), tc_HOL_Obool ), tc_fun( tc_prod(
% 0.84/1.28 tc_Nat_Onat, tc_Nat_Onat ), tc_HOL_Obool ) ), c_Product__Type_OPair(
% 0.84/1.28 tc_fun( tc_prod( tc_Nat_Onat, tc_Nat_Onat ), tc_HOL_Obool ), tc_fun(
% 0.84/1.28 tc_prod( tc_Nat_Onat, tc_Nat_Onat ), tc_HOL_Obool ), X, c_Set_Oinsert(
% 0.84/1.28 tc_prod( tc_Nat_Onat, tc_Nat_Onat ), Z, T ) ), c_FunDef_Omin__weak ) }.
% 0.84/1.28 { c_member( tc_prod( tc_fun( tc_prod( tc_Nat_Onat, tc_Nat_Onat ),
% 0.84/1.28 tc_HOL_Obool ), tc_fun( tc_prod( tc_Nat_Onat, tc_Nat_Onat ), tc_HOL_Obool
% 0.84/1.28 ) ), c_Product__Type_OPair( tc_fun( tc_prod( tc_Nat_Onat, tc_Nat_Onat )
% 0.84/1.28 , tc_HOL_Obool ), tc_fun( tc_prod( tc_Nat_Onat, tc_Nat_Onat ),
% 0.84/1.28 tc_HOL_Obool ), X, c_Orderings_Obot__class_Obot( tc_fun( tc_prod(
% 0.84/1.28 tc_Nat_Onat, tc_Nat_Onat ), tc_HOL_Obool ) ) ), c_FunDef_Omin__weak ) }.
% 0.84/1.28 { c_FunDef_Omin__weak = c_Lattices_Osemilattice__sup__class_Osup( tc_fun(
% 0.84/1.28 tc_prod( tc_fun( tc_prod( tc_Nat_Onat, tc_Nat_Onat ), tc_HOL_Obool ),
% 0.84/1.28 tc_fun( tc_prod( tc_Nat_Onat, tc_Nat_Onat ), tc_HOL_Obool ) ),
% 0.84/1.28 tc_HOL_Obool ), c_Wellfounded_Omin__ext( tc_prod( tc_Nat_Onat,
% 0.84/1.28 tc_Nat_Onat ), c_FunDef_Opair__leq ), c_Set_Oinsert( tc_prod( tc_fun(
% 0.84/1.28 tc_prod( tc_Nat_Onat, tc_Nat_Onat ), tc_HOL_Obool ), tc_fun( tc_prod(
% 0.84/1.28 tc_Nat_Onat, tc_Nat_Onat ), tc_HOL_Obool ) ), c_Product__Type_OPair(
% 0.84/1.28 tc_fun( tc_prod( tc_Nat_Onat, tc_Nat_Onat ), tc_HOL_Obool ), tc_fun(
% 0.84/1.28 tc_prod( tc_Nat_Onat, tc_Nat_Onat ), tc_HOL_Obool ),
% 0.84/1.28 c_Orderings_Obot__class_Obot( tc_fun( tc_prod( tc_Nat_Onat, tc_Nat_Onat )
% 0.84/1.28 , tc_HOL_Obool ) ), c_Orderings_Obot__class_Obot( tc_fun( tc_prod(
% 0.84/1.28 tc_Nat_Onat, tc_Nat_Onat ), tc_HOL_Obool ) ) ),
% 0.84/1.28 c_Orderings_Obot__class_Obot( tc_fun( tc_prod( tc_fun( tc_prod(
% 0.84/1.28 tc_Nat_Onat, tc_Nat_Onat ), tc_HOL_Obool ), tc_fun( tc_prod( tc_Nat_Onat
% 0.84/1.28 , tc_Nat_Onat ), tc_HOL_Obool ) ), tc_HOL_Obool ) ) ) ) }.
% 0.84/1.28 { c_FunDef_Omax__weak = c_Lattices_Osemilattice__sup__class_Osup( tc_fun(
% 0.84/1.28 tc_prod( tc_fun( tc_prod( tc_Nat_Onat, tc_Nat_Onat ), tc_HOL_Obool ),
% 0.84/1.28 tc_fun( tc_prod( tc_Nat_Onat, tc_Nat_Onat ), tc_HOL_Obool ) ),
% 0.84/1.28 tc_HOL_Obool ), c_Wellfounded_Omax__ext( tc_prod( tc_Nat_Onat,
% 0.84/1.28 tc_Nat_Onat ), c_FunDef_Opair__leq ), c_Set_Oinsert( tc_prod( tc_fun(
% 0.84/1.28 tc_prod( tc_Nat_Onat, tc_Nat_Onat ), tc_HOL_Obool ), tc_fun( tc_prod(
% 0.84/1.28 tc_Nat_Onat, tc_Nat_Onat ), tc_HOL_Obool ) ), c_Product__Type_OPair(
% 0.84/1.28 tc_fun( tc_prod( tc_Nat_Onat, tc_Nat_Onat ), tc_HOL_Obool ), tc_fun(
% 0.84/1.28 tc_prod( tc_Nat_Onat, tc_Nat_Onat ), tc_HOL_Obool ),
% 0.84/1.28 c_Orderings_Obot__class_Obot( tc_fun( tc_prod( tc_Nat_Onat, tc_Nat_Onat )
% 0.84/1.28 , tc_HOL_Obool ) ), c_Orderings_Obot__class_Obot( tc_fun( tc_prod(
% 0.84/1.28 tc_Nat_Onat, tc_Nat_Onat ), tc_HOL_Obool ) ) ),
% 0.84/1.28 c_Orderings_Obot__class_Obot( tc_fun( tc_prod( tc_fun( tc_prod(
% 0.84/1.28 tc_Nat_Onat, tc_Nat_Onat ), tc_HOL_Obool ), tc_fun( tc_prod( tc_Nat_Onat
% 0.84/1.28 , tc_Nat_Onat ), tc_HOL_Obool ) ), tc_HOL_Obool ) ) ) ) }.
% 0.84/1.28 { ! c_Wellfounded_Owf( Y, X ), c_Wellfounded_Owf( tc_fun( Y, tc_HOL_Obool )
% 0.84/1.28 , c_Wellfounded_Omax__ext( Y, X ) ) }.
% 0.84/1.28 { ! c_Wellfounded_Owf( Y, X ), c_Wellfounded_Owf( tc_fun( Y, tc_HOL_Obool )
% 0.84/1.28 , c_Wellfounded_Omin__ext( Y, X ) ) }.
% 0.84/1.28 { c_FunDef_Omax__strict = c_Wellfounded_Omax__ext( tc_prod( tc_Nat_Onat,
% 0.84/1.28 tc_Nat_Onat ), c_FunDef_Opair__less ) }.
% 0.84/1.28 { ! c_member( tc_prod( tc_fun( T, tc_HOL_Obool ), tc_fun( T, tc_HOL_Obool )
% 0.84/1.28 ), c_Product__Type_OPair( tc_fun( T, tc_HOL_Obool ), tc_fun( T,
% 0.84/1.28 tc_HOL_Obool ), Z, Y ), c_Wellfounded_Omax__ext( T, X ) ), ! c_member(
% 0.84/1.28 tc_prod( tc_fun( T, tc_HOL_Obool ), tc_fun( T, tc_HOL_Obool ) ),
% 0.84/1.28 c_Product__Type_OPair( tc_fun( T, tc_HOL_Obool ), tc_fun( T, tc_HOL_Obool
% 0.84/1.28 ), W, U ), c_Wellfounded_Omax__ext( T, X ) ), c_member( tc_prod( tc_fun
% 0.84/1.28 ( T, tc_HOL_Obool ), tc_fun( T, tc_HOL_Obool ) ), c_Product__Type_OPair(
% 0.84/1.28 tc_fun( T, tc_HOL_Obool ), tc_fun( T, tc_HOL_Obool ),
% 0.84/1.28 c_Lattices_Osemilattice__sup__class_Osup( tc_fun( T, tc_HOL_Obool ), Z, W
% 0.84/1.28 ), c_Lattices_Osemilattice__sup__class_Osup( tc_fun( T, tc_HOL_Obool ),
% 0.84/1.28 Y, U ) ), c_Wellfounded_Omax__ext( T, X ) ) }.
% 0.84/1.28 { c_FunDef_Omin__strict = c_Wellfounded_Omin__ext( tc_prod( tc_Nat_Onat,
% 0.84/1.28 tc_Nat_Onat ), c_FunDef_Opair__less ) }.
% 0.84/1.28 { c_Set_Othe__elem( Y, c_Set_Oinsert( Y, X, c_Orderings_Obot__class_Obot(
% 0.84/1.28 tc_fun( Y, tc_HOL_Obool ) ) ) ) = X }.
% 0.84/1.28 { ! c_member( Z, Y, X ), ! c_Nitpick_Ofold__graph_H( Z, V0, W, U,
% 0.84/1.28 c_Groups_Ominus__class_Ominus( tc_fun( Z, tc_HOL_Obool ), X,
% 0.84/1.28 c_Set_Oinsert( Z, Y, c_Orderings_Obot__class_Obot( tc_fun( Z,
% 0.84/1.28 tc_HOL_Obool ) ) ) ), T ), c_Nitpick_Ofold__graph_H( Z, V0, W, U, X, hAPP
% 0.84/1.28 ( hAPP( W, Y ), T ) ) }.
% 0.84/1.28 { c_Nitpick_Ofold__graph_H( T, Z, Y, X, c_Orderings_Obot__class_Obot(
% 0.84/1.28 tc_fun( T, tc_HOL_Obool ) ), X ) }.
% 0.84/1.28 { c_Nitpick_Ofold__graph_H( T, Z, Y, X, c_Orderings_Obot__class_Obot(
% 0.84/1.28 tc_fun( T, tc_HOL_Obool ) ), X ) }.
% 0.84/1.28 { ! c_Order__Relation_Opreorder__on( Y, c_Relation_OField( Y, X ), X ), !
% 0.84/1.28 c_member( Y, Z, c_Relation_OField( Y, X ) ), ! c_member( Y, T,
% 0.84/1.28 c_Relation_OField( Y, X ) ), ! c_Orderings_Oord__class_Oless__eq( tc_fun
% 0.84/1.28 ( Y, tc_HOL_Obool ), c_Relation_OImage( Y, Y, X, c_Set_Oinsert( Y, Z,
% 0.84/1.28 c_Orderings_Obot__class_Obot( tc_fun( Y, tc_HOL_Obool ) ) ) ),
% 0.84/1.28 c_Relation_OImage( Y, Y, X, c_Set_Oinsert( Y, T,
% 0.84/1.28 c_Orderings_Obot__class_Obot( tc_fun( Y, tc_HOL_Obool ) ) ) ) ), c_member
% 0.84/1.28 ( tc_prod( Y, Y ), c_Product__Type_OPair( Y, Y, T, Z ), X ) }.
% 0.84/1.28 { ! c_Order__Relation_Opreorder__on( Y, c_Relation_OField( Y, X ), X ), !
% 0.84/1.28 c_member( Y, Z, c_Relation_OField( Y, X ) ), ! c_member( Y, T,
% 0.84/1.28 c_Relation_OField( Y, X ) ), ! c_member( tc_prod( Y, Y ),
% 0.84/1.28 c_Product__Type_OPair( Y, Y, T, Z ), X ),
% 0.84/1.28 c_Orderings_Oord__class_Oless__eq( tc_fun( Y, tc_HOL_Obool ),
% 0.84/1.28 c_Relation_OImage( Y, Y, X, c_Set_Oinsert( Y, Z,
% 0.84/1.28 c_Orderings_Obot__class_Obot( tc_fun( Y, tc_HOL_Obool ) ) ) ),
% 0.84/1.28 c_Relation_OImage( Y, Y, X, c_Set_Oinsert( Y, T,
% 0.84/1.28 c_Orderings_Obot__class_Obot( tc_fun( Y, tc_HOL_Obool ) ) ) ) ) }.
% 0.84/1.28 { c_FunDef_Oreduction__pair( tc_fun( tc_prod( tc_Nat_Onat, tc_Nat_Onat ),
% 0.84/1.28 tc_HOL_Obool ), c_Product__Type_OPair( tc_fun( tc_prod( tc_fun( tc_prod(
% 0.84/1.28 tc_Nat_Onat, tc_Nat_Onat ), tc_HOL_Obool ), tc_fun( tc_prod( tc_Nat_Onat
% 0.84/1.28 , tc_Nat_Onat ), tc_HOL_Obool ) ), tc_HOL_Obool ), tc_fun( tc_prod(
% 0.84/1.28 tc_fun( tc_prod( tc_Nat_Onat, tc_Nat_Onat ), tc_HOL_Obool ), tc_fun(
% 0.84/1.28 tc_prod( tc_Nat_Onat, tc_Nat_Onat ), tc_HOL_Obool ) ), tc_HOL_Obool ),
% 0.84/1.28 c_FunDef_Omax__strict, c_FunDef_Omax__weak ) ) }.
% 0.84/1.28 { ! c_Wellfounded_Owf( Y, X ), ! c_Orderings_Oord__class_Oless__eq( tc_fun
% 0.84/1.28 ( Y, tc_HOL_Obool ), Z, c_Relation_OImage( Y, Y, X, Z ) ), Z =
% 0.84/1.28 c_Orderings_Obot__class_Obot( tc_fun( Y, tc_HOL_Obool ) ) }.
% 0.84/1.28 { ! c_member( U, T, c_Relation_OImage( Z, U, Y, X ) ), c_member( Z, skol63
% 0.84/1.28 ( X, W, Z, V0, V1 ), X ) }.
% 0.84/1.28 { ! c_member( U, T, c_Relation_OImage( Z, U, Y, X ) ), c_member( tc_prod( Z
% 0.84/1.28 , U ), c_Product__Type_OPair( Z, U, skol63( X, Y, Z, T, U ), T ), Y ) }.
% 0.84/1.28 { ! c_member( Z, W, X ), ! c_member( tc_prod( Z, U ), c_Product__Type_OPair
% 0.84/1.28 ( Z, U, W, T ), Y ), c_member( U, T, c_Relation_OImage( Z, U, Y, X ) ) }
% 0.84/1.28 .
% 0.84/1.28 { ! c_member( Z, Y, X ), ! c_member( tc_prod( Z, W ), c_Product__Type_OPair
% 0.84/1.28 ( Z, W, Y, U ), T ), c_member( W, U, c_Relation_OImage( Z, W, T, X ) ) }
% 0.84/1.28 .
% 0.84/1.28 { c_Relation_OImage( Y, Y, c_Relation_OId( Y ), X ) = X }.
% 0.84/1.28 { ! c_Orderings_Oord__class_Oless__eq( tc_fun( tc_prod( T, Z ),
% 0.84/1.28 tc_HOL_Obool ), Y, X ), ! c_Orderings_Oord__class_Oless__eq( tc_fun( T,
% 0.84/1.28 tc_HOL_Obool ), W, U ), c_Orderings_Oord__class_Oless__eq( tc_fun( Z,
% 0.84/1.28 tc_HOL_Obool ), c_Relation_OImage( T, Z, Y, W ), c_Relation_OImage( T, Z
% 0.84/1.28 , X, U ) ) }.
% 0.84/1.28 { ! c_Orderings_Oord__class_Oless__eq( tc_fun( Z, tc_HOL_Obool ),
% 0.84/1.28 c_Relation_OImage( Z, Z, Y, X ), X ), c_Relation_OImage( Z, Z,
% 0.84/1.28 c_Transitive__Closure_Ortrancl( Z, Y ), X ) = X }.
% 0.84/1.28 { c_Relation_OImage( Z, Y, X, c_Orderings_Obot__class_Obot( tc_fun( Z,
% 0.84/1.28 tc_HOL_Obool ) ) ) = c_Orderings_Obot__class_Obot( tc_fun( Y,
% 0.84/1.28 tc_HOL_Obool ) ) }.
% 0.84/1.28 { c_Relation_OImage( U, T, Z, c_Lattices_Osemilattice__sup__class_Osup(
% 0.84/1.28 tc_fun( U, tc_HOL_Obool ), Y, X ) ) =
% 0.84/1.28 c_Lattices_Osemilattice__sup__class_Osup( tc_fun( T, tc_HOL_Obool ),
% 0.84/1.28 c_Relation_OImage( U, T, Z, Y ), c_Relation_OImage( U, T, Z, X ) ) }.
% 0.84/1.28 { c_Relation_OImage( U, T, c_Lattices_Osemilattice__sup__class_Osup( tc_fun
% 0.84/1.28 ( tc_prod( U, T ), tc_HOL_Obool ), Z, Y ), X ) =
% 0.84/1.28 c_Lattices_Osemilattice__sup__class_Osup( tc_fun( T, tc_HOL_Obool ),
% 0.84/1.28 c_Relation_OImage( U, T, Z, X ), c_Relation_OImage( U, T, Y, X ) ) }.
% 0.84/1.28 { ! c_member( U, T, c_Relation_OImage( Z, U, Y, c_Set_Oinsert( Z, X,
% 0.84/1.28 c_Orderings_Obot__class_Obot( tc_fun( Z, tc_HOL_Obool ) ) ) ) ), c_member
% 0.84/1.28 ( tc_prod( Z, U ), c_Product__Type_OPair( Z, U, X, T ), Y ) }.
% 0.84/1.28 { ! c_member( tc_prod( Z, U ), c_Product__Type_OPair( Z, U, X, T ), Y ),
% 0.84/1.28 c_member( U, T, c_Relation_OImage( Z, U, Y, c_Set_Oinsert( Z, X,
% 0.84/1.28 c_Orderings_Obot__class_Obot( tc_fun( Z, tc_HOL_Obool ) ) ) ) ) }.
% 0.84/1.28 { ! c_Order__Relation_Opartial__order__on( Y, c_Relation_OField( Y, X ), X
% 0.84/1.28 ), ! c_member( Y, Z, c_Relation_OField( Y, X ) ), ! c_member( Y, T,
% 0.84/1.28 c_Relation_OField( Y, X ) ), ! c_Relation_OImage( Y, Y, X, c_Set_Oinsert
% 0.84/1.28 ( Y, Z, c_Orderings_Obot__class_Obot( tc_fun( Y, tc_HOL_Obool ) ) ) ) =
% 0.84/1.28 c_Relation_OImage( Y, Y, X, c_Set_Oinsert( Y, T,
% 0.84/1.28 c_Orderings_Obot__class_Obot( tc_fun( Y, tc_HOL_Obool ) ) ) ), Z = T }.
% 0.84/1.28 { ! c_Order__Relation_Opartial__order__on( Y, c_Relation_OField( Y, X ), X
% 0.84/1.28 ), ! c_member( Y, Z, c_Relation_OField( Y, X ) ), ! c_member( Y, T,
% 0.84/1.28 c_Relation_OField( Y, X ) ), ! Z = T, c_Relation_OImage( Y, Y, X,
% 0.84/1.28 c_Set_Oinsert( Y, Z, c_Orderings_Obot__class_Obot( tc_fun( Y,
% 0.84/1.28 tc_HOL_Obool ) ) ) ) = c_Relation_OImage( Y, Y, X, c_Set_Oinsert( Y, T,
% 0.84/1.28 c_Orderings_Obot__class_Obot( tc_fun( Y, tc_HOL_Obool ) ) ) ) }.
% 0.84/1.28 { ! c_Relation_Orefl__on( Y, c_Relation_OField( Y, X ), X ), !
% 0.84/1.28 c_Relation_Oantisym( Y, X ), ! c_member( Y, Z, c_Relation_OField( Y, X )
% 0.84/1.28 ), ! c_member( Y, T, c_Relation_OField( Y, X ) ), ! c_Relation_OImage( Y
% 0.84/1.28 , Y, X, c_Set_Oinsert( Y, Z, c_Orderings_Obot__class_Obot( tc_fun( Y,
% 0.84/1.28 tc_HOL_Obool ) ) ) ) = c_Relation_OImage( Y, Y, X, c_Set_Oinsert( Y, T,
% 0.84/1.28 c_Orderings_Obot__class_Obot( tc_fun( Y, tc_HOL_Obool ) ) ) ), Z = T }.
% 0.84/1.28 { ! c_Relation_Orefl__on( Y, c_Relation_OField( Y, X ), X ), !
% 0.84/1.28 c_Relation_Oantisym( Y, X ), ! c_member( Y, Z, c_Relation_OField( Y, X )
% 0.84/1.28 ), ! c_member( Y, T, c_Relation_OField( Y, X ) ), ! Z = T,
% 0.84/1.28 c_Relation_OImage( Y, Y, X, c_Set_Oinsert( Y, Z,
% 0.84/1.28 c_Orderings_Obot__class_Obot( tc_fun( Y, tc_HOL_Obool ) ) ) ) =
% 0.84/1.28 c_Relation_OImage( Y, Y, X, c_Set_Oinsert( Y, T,
% 0.84/1.28 c_Orderings_Obot__class_Obot( tc_fun( Y, tc_HOL_Obool ) ) ) ) }.
% 0.84/1.28 { c_FunDef_Oreduction__pair( tc_fun( tc_prod( tc_Nat_Onat, tc_Nat_Onat ),
% 0.84/1.28 tc_HOL_Obool ), c_Product__Type_OPair( tc_fun( tc_prod( tc_fun( tc_prod(
% 0.84/1.28 tc_Nat_Onat, tc_Nat_Onat ), tc_HOL_Obool ), tc_fun( tc_prod( tc_Nat_Onat
% 0.84/1.28 , tc_Nat_Onat ), tc_HOL_Obool ) ), tc_HOL_Obool ), tc_fun( tc_prod(
% 0.84/1.28 tc_fun( tc_prod( tc_Nat_Onat, tc_Nat_Onat ), tc_HOL_Obool ), tc_fun(
% 0.84/1.28 tc_prod( tc_Nat_Onat, tc_Nat_Onat ), tc_HOL_Obool ) ), tc_HOL_Obool ),
% 0.84/1.28 c_FunDef_Omin__strict, c_FunDef_Omin__weak ) ) }.
% 0.84/1.28 { ! c_Order__Relation_Opreorder__on( Y, c_Relation_OField( Y, X ), X ), !
% 0.84/1.28 c_Orderings_Oord__class_Oless__eq( tc_fun( Y, tc_HOL_Obool ), Z,
% 0.84/1.28 c_Relation_OField( Y, X ) ), ! c_Orderings_Oord__class_Oless__eq( tc_fun
% 0.84/1.28 ( Y, tc_HOL_Obool ), T, c_Relation_OField( Y, X ) ), !
% 0.84/1.28 c_Orderings_Oord__class_Oless__eq( tc_fun( Y, tc_HOL_Obool ),
% 0.84/1.28 c_Relation_OImage( Y, Y, X, Z ), c_Relation_OImage( Y, Y, X, T ) ), !
% 0.84/1.28 c_member( Y, U, Z ), alpha16( X, Y, T, U ) }.
% 0.84/1.28 { ! c_Order__Relation_Opreorder__on( Y, c_Relation_OField( Y, X ), X ), !
% 0.84/1.28 c_Orderings_Oord__class_Oless__eq( tc_fun( Y, tc_HOL_Obool ), Z,
% 0.84/1.28 c_Relation_OField( Y, X ) ), ! c_Orderings_Oord__class_Oless__eq( tc_fun
% 0.84/1.28 ( Y, tc_HOL_Obool ), T, c_Relation_OField( Y, X ) ), c_member( Y, skol64
% 0.84/1.28 ( U, Y, Z, W ), Z ), c_Orderings_Oord__class_Oless__eq( tc_fun( Y,
% 0.84/1.28 tc_HOL_Obool ), c_Relation_OImage( Y, Y, X, Z ), c_Relation_OImage( Y, Y
% 0.84/1.28 , X, T ) ) }.
% 0.84/1.28 { ! c_Order__Relation_Opreorder__on( Y, c_Relation_OField( Y, X ), X ), !
% 0.84/1.28 c_Orderings_Oord__class_Oless__eq( tc_fun( Y, tc_HOL_Obool ), Z,
% 0.84/1.28 c_Relation_OField( Y, X ) ), ! c_Orderings_Oord__class_Oless__eq( tc_fun
% 0.84/1.28 ( Y, tc_HOL_Obool ), T, c_Relation_OField( Y, X ) ), ! alpha16( X, Y, T,
% 0.84/1.28 skol64( X, Y, Z, T ) ), c_Orderings_Oord__class_Oless__eq( tc_fun( Y,
% 0.84/1.28 tc_HOL_Obool ), c_Relation_OImage( Y, Y, X, Z ), c_Relation_OImage( Y, Y
% 0.84/1.28 , X, T ) ) }.
% 0.84/1.28 { ! alpha16( X, Y, Z, T ), c_member( Y, skol65( U, Y, Z, W ), Z ) }.
% 0.84/1.28 { ! alpha16( X, Y, Z, T ), c_member( tc_prod( Y, Y ), c_Product__Type_OPair
% 0.84/1.28 ( Y, Y, skol65( X, Y, Z, T ), T ), X ) }.
% 0.84/1.28 { ! c_member( Y, U, Z ), ! c_member( tc_prod( Y, Y ), c_Product__Type_OPair
% 0.84/1.28 ( Y, Y, U, T ), X ), alpha16( X, Y, Z, T ) }.
% 0.84/1.28 { ! c_Nitpick_Ofold__graph_H( V0, W, U, T, Z, hAPP( hAPP( U, Y ), X ) ),
% 0.84/1.28 alpha17( X, Y, Z, T, U, V0 ), alpha26( X, Y, Z, T, U, W, V0 ) }.
% 0.84/1.28 { ! alpha17( X, Y, Z, T, U, V0 ), c_Nitpick_Ofold__graph_H( V0, W, U, T, Z
% 0.84/1.28 , hAPP( hAPP( U, Y ), X ) ) }.
% 0.84/1.28 { ! alpha26( X, Y, Z, T, U, W, V0 ), c_Nitpick_Ofold__graph_H( V0, W, U, T
% 0.84/1.28 , Z, hAPP( hAPP( U, Y ), X ) ) }.
% 0.84/1.28 { ! alpha26( X, Y, Z, T, U, W, V0 ), hAPP( hAPP( U, Y ), X ) = hAPP( hAPP(
% 0.84/1.28 U, skol66( X, Y, Z, T, U, W, V0 ) ), skol87( X, Y, Z, T, U, W, V0 ) ) }.
% 0.84/1.28 { ! alpha26( X, Y, Z, T, U, W, V0 ), alpha33( Z, T, U, W, V0, skol66( X, Y
% 0.84/1.28 , Z, T, U, W, V0 ), skol87( X, Y, Z, T, U, W, V0 ) ) }.
% 0.84/1.28 { ! hAPP( hAPP( U, Y ), X ) = hAPP( hAPP( U, V1 ), V2 ), ! alpha33( Z, T, U
% 0.84/1.28 , W, V0, V1, V2 ), alpha26( X, Y, Z, T, U, W, V0 ) }.
% 0.84/1.28 { ! alpha33( X, Y, Z, T, U, W, V0 ), c_member( U, W, X ) }.
% 0.84/1.28 { ! alpha33( X, Y, Z, T, U, W, V0 ), c_Nitpick_Ofold__graph_H( U, T, Z, Y,
% 0.84/1.28 c_Groups_Ominus__class_Ominus( tc_fun( U, tc_HOL_Obool ), X,
% 0.84/1.28 c_Set_Oinsert( U, W, c_Orderings_Obot__class_Obot( tc_fun( U,
% 0.84/1.28 tc_HOL_Obool ) ) ) ), V0 ) }.
% 0.84/1.28 { ! c_member( U, W, X ), ! c_Nitpick_Ofold__graph_H( U, T, Z, Y,
% 0.84/1.28 c_Groups_Ominus__class_Ominus( tc_fun( U, tc_HOL_Obool ), X,
% 0.84/1.28 c_Set_Oinsert( U, W, c_Orderings_Obot__class_Obot( tc_fun( U,
% 0.84/1.28 tc_HOL_Obool ) ) ) ), V0 ), alpha33( X, Y, Z, T, U, W, V0 ) }.
% 0.84/1.28 { ! alpha17( X, Y, Z, T, U, W ), Z = c_Orderings_Obot__class_Obot( tc_fun(
% 0.84/1.28 W, tc_HOL_Obool ) ) }.
% 0.84/1.28 { ! alpha17( X, Y, Z, T, U, W ), hAPP( hAPP( U, Y ), X ) = T }.
% 0.84/1.28 { ! Z = c_Orderings_Obot__class_Obot( tc_fun( W, tc_HOL_Obool ) ), ! hAPP(
% 0.84/1.28 hAPP( U, Y ), X ) = T, alpha17( X, Y, Z, T, U, W ) }.
% 0.84/1.28 { ! c_FunDef_Oreduction__pair( Y, X ), c_FunDef_Oreduction__pair( T,
% 0.84/1.28 c_FunDef_Orp__inv__image( Y, T, X, Z ) ) }.
% 0.84/1.28 { ! c_member( U, T, c_Relation_OImage( Z, U, Y, X ) ), c_member( Z, skol67
% 0.84/1.28 ( X, W, Z, V0, V1 ), X ) }.
% 0.84/1.28 { ! c_member( U, T, c_Relation_OImage( Z, U, Y, X ) ), c_member( tc_prod( Z
% 0.84/1.28 , U ), c_Product__Type_OPair( Z, U, skol67( X, Y, Z, T, U ), T ), Y ) }.
% 0.84/1.28 { ! c_Wellfounded_Owf( Y, X ), ! c_Orderings_Oord__class_Oless__eq( tc_fun
% 0.84/1.28 ( tc_prod( Y, Y ), tc_HOL_Obool ), c_Relation_Orel__comp( Y, Y, Y, X, Z )
% 0.84/1.28 , X ), c_FunDef_Oreduction__pair( Y, c_Product__Type_OPair( tc_fun(
% 0.84/1.28 tc_prod( Y, Y ), tc_HOL_Obool ), tc_fun( tc_prod( Y, Y ), tc_HOL_Obool )
% 0.84/1.28 , X, Z ) ) }.
% 0.84/1.28 { ! c_Equiv__Relations_Oequiv( Z, Y, X ), !
% 0.84/1.28 c_Orderings_Oord__class_Oless__eq( tc_fun( Z, tc_HOL_Obool ),
% 0.84/1.28 c_Relation_OImage( Z, Z, X, c_Set_Oinsert( Z, U,
% 0.84/1.28 c_Orderings_Obot__class_Obot( tc_fun( Z, tc_HOL_Obool ) ) ) ),
% 0.84/1.28 c_Relation_OImage( Z, Z, X, c_Set_Oinsert( Z, T,
% 0.84/1.28 c_Orderings_Obot__class_Obot( tc_fun( Z, tc_HOL_Obool ) ) ) ) ), !
% 0.84/1.28 c_member( Z, U, Y ), c_member( tc_prod( Z, Z ), c_Product__Type_OPair( Z
% 0.84/1.28 , Z, T, U ), X ) }.
% 0.84/1.28 { ! c_member( tc_prod( U, T ), c_Product__Type_OPair( U, T, Z, Y ), X ), !
% 0.84/1.28 c_member( tc_prod( T, V1 ), c_Product__Type_OPair( T, V1, Y, V0 ), W ),
% 0.84/1.28 c_member( tc_prod( U, V1 ), c_Product__Type_OPair( U, V1, Z, V0 ),
% 0.84/1.28 c_Relation_Orel__comp( U, T, V1, X, W ) ) }.
% 0.84/1.28 { c_Transitive__Closure_Ortrancl( Y, X ) =
% 0.84/1.28 c_Lattices_Osemilattice__sup__class_Osup( tc_fun( tc_prod( Y, Y ),
% 0.84/1.28 tc_HOL_Obool ), c_Relation_OId( Y ), c_Relation_Orel__comp( Y, Y, Y,
% 0.84/1.28 c_Transitive__Closure_Ortrancl( Y, X ), X ) ) }.
% 0.84/1.28 { ! c_Equiv__Relations_Oequiv( Z, Y, X ), ! c_member( Z, T, Y ), c_member(
% 0.84/1.28 Z, T, c_Relation_OImage( Z, Z, X, c_Set_Oinsert( Z, T,
% 0.84/1.28 c_Orderings_Obot__class_Obot( tc_fun( Z, tc_HOL_Obool ) ) ) ) ) }.
% 0.84/1.28 { ! c_Relation_Orel__comp( Z, Z, Z, Y, X ) = c_Orderings_Obot__class_Obot(
% 0.84/1.28 tc_fun( tc_prod( Z, Z ), tc_HOL_Obool ) ), ! c_Relation_Orel__comp( Z, Z
% 0.84/1.28 , Z, Y, T ) = c_Orderings_Obot__class_Obot( tc_fun( tc_prod( Z, Z ),
% 0.84/1.28 tc_HOL_Obool ) ), c_Relation_Orel__comp( Z, Z, Z, Y,
% 0.84/1.28 c_Lattices_Osemilattice__sup__class_Osup( tc_fun( tc_prod( Z, Z ),
% 0.84/1.28 tc_HOL_Obool ), X, T ) ) = c_Orderings_Obot__class_Obot( tc_fun( tc_prod
% 0.84/1.28 ( Z, Z ), tc_HOL_Obool ) ) }.
% 0.84/1.28 { class_Lattices_Obounded__lattice( tc_HOL_Obool ) }.
% 0.84/1.28 { ! class_Lattices_Obounded__lattice( X ), class_Lattices_Obounded__lattice
% 0.84/1.28 ( tc_fun( Y, X ) ) }.
% 0.84/1.28 { ! class_Lattices_Obounded__lattice( X ),
% 0.84/1.28 class_Lattices_Obounded__lattice__bot( tc_fun( Y, X ) ) }.
% 0.84/1.28 { ! class_Lattices_Olattice( X ), class_Lattices_Osemilattice__sup( tc_fun
% 0.84/1.28 ( Y, X ) ) }.
% 0.84/1.28 { ! class_Orderings_Opreorder( X ), class_Orderings_Opreorder( tc_fun( Y, X
% 0.84/1.28 ) ) }.
% 0.84/1.28 { ! class_Lattices_Olattice( X ), class_Lattices_Olattice( tc_fun( Y, X ) )
% 0.84/1.28 }.
% 0.84/1.28 { ! class_Orderings_Oorder( X ), class_Orderings_Oorder( tc_fun( Y, X ) ) }
% 0.84/1.28 .
% 0.84/1.28 { ! class_Orderings_Oord( X ), class_Orderings_Oord( tc_fun( Y, X ) ) }.
% 0.84/1.28 { ! class_Orderings_Obot( X ), class_Orderings_Obot( tc_fun( Y, X ) ) }.
% 0.84/1.28 { ! class_Groups_Ominus( X ), class_Groups_Ominus( tc_fun( Y, X ) ) }.
% 0.84/1.28 { class_Lattices_Osemilattice__sup( tc_Nat_Onat ) }.
% 0.84/1.28 { class_Orderings_Opreorder( tc_Nat_Onat ) }.
% 0.84/1.28 { class_Orderings_Olinorder( tc_Nat_Onat ) }.
% 0.84/1.28 { class_Lattices_Olattice( tc_Nat_Onat ) }.
% 0.84/1.28 { class_Orderings_Oorder( tc_Nat_Onat ) }.
% 0.84/1.28 { class_Orderings_Oord( tc_Nat_Onat ) }.
% 0.84/1.28 { class_Orderings_Obot( tc_Nat_Onat ) }.
% 0.84/1.28 { class_Groups_Ominus( tc_Nat_Onat ) }.
% 0.84/1.28 { class_Lattices_Obounded__lattice__bot( tc_HOL_Obool ) }.
% 0.84/1.28 { class_Lattices_Osemilattice__sup( tc_HOL_Obool ) }.
% 0.84/1.28 { class_Orderings_Opreorder( tc_HOL_Obool ) }.
% 0.84/1.28 { class_Lattices_Olattice( tc_HOL_Obool ) }.
% 0.84/1.28 { class_Orderings_Oorder( tc_HOL_Obool ) }.
% 0.84/1.28 { class_Orderings_Oord( tc_HOL_Obool ) }.
% 0.84/1.28 { class_Orderings_Obot( tc_HOL_Obool ) }.
% 0.84/1.28 { class_Groups_Ominus( tc_HOL_Obool ) }.
% 0.84/1.28 { ! hBOOL( hAPP( c_fequal( Y ), X ) ), Y = X }.
% 0.84/1.28 { ! Y = X, hBOOL( hAPP( c_fequal( Y ), X ) ) }.
% 0.84/1.28 { alpha46, c_Relation_Otrans( tc_Arrow__Order__Mirabelle_Oalt, v_L ) }.
% 0.84/1.28 { alpha46, alpha27 }.
% 0.84/1.28 { alpha46, ! alpha18 }.
% 0.84/1.28 { ! alpha46, alpha18 }.
% 0.84/1.28 { ! alpha46, ! c_Relation_Otrans( tc_Arrow__Order__Mirabelle_Oalt, v_L ), !
% 0.84/1.28 alpha27 }.
% 0.84/1.28 { ! alpha18, c_Relation_Otrans( tc_Arrow__Order__Mirabelle_Oalt, v_L ),
% 0.84/1.28 alpha46 }.
% 0.84/1.28 { ! alpha18, alpha27, alpha46 }.
% 0.84/1.28 { ! alpha27, ! c_member( tc_prod( tc_Arrow__Order__Mirabelle_Oalt,
% 0.84/1.28 tc_Arrow__Order__Mirabelle_Oalt ), c_Product__Type_OPair(
% 0.84/1.28 tc_Arrow__Order__Mirabelle_Oalt, tc_Arrow__Order__Mirabelle_Oalt, X, X )
% 0.84/1.28 , v_L ) }.
% 0.84/1.28 { ! alpha27, alpha34 }.
% 0.84/1.28 { c_member( tc_prod( tc_Arrow__Order__Mirabelle_Oalt,
% 0.84/1.28 tc_Arrow__Order__Mirabelle_Oalt ), c_Product__Type_OPair(
% 0.84/1.28 tc_Arrow__Order__Mirabelle_Oalt, tc_Arrow__Order__Mirabelle_Oalt, skol68
% 0.84/1.28 , skol68 ), v_L ), ! alpha34, alpha27 }.
% 0.84/1.28 { ! alpha34, X = Y, alpha37( X, Y ) }.
% 0.84/1.28 { ! skol69 = skol88, alpha34 }.
% 0.84/1.28 { ! alpha37( skol69, skol88 ), alpha34 }.
% 0.84/1.28 { ! alpha37( X, Y ), c_member( tc_prod( tc_Arrow__Order__Mirabelle_Oalt,
% 0.84/1.28 tc_Arrow__Order__Mirabelle_Oalt ), c_Product__Type_OPair(
% 0.84/1.28 tc_Arrow__Order__Mirabelle_Oalt, tc_Arrow__Order__Mirabelle_Oalt, X, Y )
% 0.84/1.28 , v_L ), c_member( tc_prod( tc_Arrow__Order__Mirabelle_Oalt,
% 0.84/1.28 tc_Arrow__Order__Mirabelle_Oalt ), c_Product__Type_OPair(
% 0.84/1.28 tc_Arrow__Order__Mirabelle_Oalt, tc_Arrow__Order__Mirabelle_Oalt, Y, X )
% 0.84/1.28 , v_L ) }.
% 0.84/1.28 { ! c_member( tc_prod( tc_Arrow__Order__Mirabelle_Oalt,
% 0.84/1.28 tc_Arrow__Order__Mirabelle_Oalt ), c_Product__Type_OPair(
% 0.84/1.28 tc_Arrow__Order__Mirabelle_Oalt, tc_Arrow__Order__Mirabelle_Oalt, X, Y )
% 0.84/1.28 , v_L ), alpha37( X, Y ) }.
% 0.84/1.28 { ! c_member( tc_prod( tc_Arrow__Order__Mirabelle_Oalt,
% 0.84/1.28 tc_Arrow__Order__Mirabelle_Oalt ), c_Product__Type_OPair(
% 0.84/1.28 tc_Arrow__Order__Mirabelle_Oalt, tc_Arrow__Order__Mirabelle_Oalt, Y, X )
% 0.84/1.28 , v_L ), alpha37( X, Y ) }.
% 0.84/1.28 { ! alpha18, c_Relation_Otrans( tc_Arrow__Order__Mirabelle_Oalt, v_L ) }.
% 0.84/1.28 { ! alpha18, alpha28 }.
% 0.84/1.28 { ! c_Relation_Otrans( tc_Arrow__Order__Mirabelle_Oalt, v_L ), ! alpha28,
% 0.84/1.28 alpha18 }.
% 0.84/1.28 { ! alpha28, ! c_member( tc_prod( tc_Arrow__Order__Mirabelle_Oalt,
% 0.84/1.28 tc_Arrow__Order__Mirabelle_Oalt ), c_Product__Type_OPair(
% 0.84/1.28 tc_Arrow__Order__Mirabelle_Oalt, tc_Arrow__Order__Mirabelle_Oalt, X, X )
% 0.84/1.28 , v_L ) }.
% 0.84/1.28 { ! alpha28, alpha35 }.
% 0.84/1.28 { c_member( tc_prod( tc_Arrow__Order__Mirabelle_Oalt,
% 0.84/1.28 tc_Arrow__Order__Mirabelle_Oalt ), c_Product__Type_OPair(
% 0.84/1.28 tc_Arrow__Order__Mirabelle_Oalt, tc_Arrow__Order__Mirabelle_Oalt, skol70
% 0.84/1.28 , skol70 ), v_L ), ! alpha35, alpha28 }.
% 0.84/1.28 { ! alpha35, X = Y, alpha38( X, Y ) }.
% 0.84/1.28 { ! skol71 = skol89, alpha35 }.
% 0.84/1.28 { ! alpha38( skol71, skol89 ), alpha35 }.
% 0.84/1.28 { ! alpha38( X, Y ), c_member( tc_prod( tc_Arrow__Order__Mirabelle_Oalt,
% 0.84/1.28 tc_Arrow__Order__Mirabelle_Oalt ), c_Product__Type_OPair(
% 0.84/1.28 tc_Arrow__Order__Mirabelle_Oalt, tc_Arrow__Order__Mirabelle_Oalt, Y, X )
% 0.84/1.28 , v_L ), c_member( tc_prod( tc_Arrow__Order__Mirabelle_Oalt,
% 0.84/1.28 tc_Arrow__Order__Mirabelle_Oalt ), c_Product__Type_OPair(
% 0.84/1.28 tc_Arrow__Order__Mirabelle_Oalt, tc_Arrow__Order__Mirabelle_Oalt, X, Y )
% 0.84/1.28 , v_L ) }.
% 0.84/1.28 { ! c_member( tc_prod( tc_Arrow__Order__Mirabelle_Oalt,
% 0.84/1.28 tc_Arrow__Order__Mirabelle_Oalt ), c_Product__Type_OPair(
% 0.84/1.28 tc_Arrow__Order__Mirabelle_Oalt, tc_Arrow__Order__Mirabelle_Oalt, Y, X )
% 0.84/1.28 , v_L ), alpha38( X, Y ) }.
% 0.84/1.28 { ! c_member( tc_prod( tc_Arrow__Order__Mirabelle_Oalt,
% 0.84/1.28 tc_Arrow__Order__Mirabelle_Oalt ), c_Product__Type_OPair(
% 0.84/1.28 tc_Arrow__Order__Mirabelle_Oalt, tc_Arrow__Order__Mirabelle_Oalt, X, Y )
% 0.84/1.28 , v_L ), alpha38( X, Y ) }.
% 0.84/1.28
% 0.84/1.28 *** allocated 15000 integers for clauses
% 0.84/1.28 *** allocated 22500 integers for clauses
% 0.84/1.28 *** allocated 33750 integers for clauses
% 0.84/1.28 *** allocated 50625 integers for clauses
% 0.84/1.28 percentage equality = 0.169778, percentage horn = 0.843666
% 0.84/1.28 This is a problem with some equality
% 0.84/1.28
% 0.84/1.28
% 0.84/1.28
% 0.84/1.28 Options Used:
% 0.84/1.28
% 0.84/1.28 useres = 1
% 0.84/1.28 useparamod = 1
% 0.84/1.28 useeqrefl = 1
% 0.84/1.28 useeqfact = 1
% 0.84/1.28 usefactor = 1
% 0.84/1.28 usesimpsplitting = 0
% 0.84/1.28 usesimpdemod = 5
% 0.84/1.28 usesimpres = 3
% 0.84/1.28
% 0.84/1.28 resimpinuse = 1000
% 0.84/1.28 resimpclauses = 20000
% 0.84/1.28 substype = eqrewr
% 0.84/1.28 backwardsubs = 1
% 0.84/1.28 selectoldest = 5
% 0.84/1.28
% 0.84/1.28 litorderings [0] = split
% 0.84/1.28 litorderings [1] = extend the termordering, first sorting on arguments
% 0.84/1.28
% 0.84/1.28 termordering = kbo
% 0.84/1.28
% 0.84/1.28 litapriori = 0
% 0.84/1.28 termapriori = 1
% 0.84/1.28 litaposteriori = 0
% 0.84/1.28 termaposteriori = 0
% 0.84/1.28 demodaposteriori = 0
% 0.84/1.28 ordereqreflfact = 0
% 0.84/1.28
% 0.84/1.28 litselect = negord
% 0.84/1.28
% 0.84/1.28 maxweight = 15
% 0.84/1.28 maxdepth = 30000
% 0.84/1.28 maxlength = 115
% 0.84/1.28 maxnrvars = 195
% 0.84/1.28 excuselevel = 1
% 0.84/1.28 increasemaxweight = 1
% 0.84/1.28
% 0.84/1.28 maxselected = 10000000
% 0.84/1.28 maxnrclauses = 10000000
% 0.84/1.28
% 0.84/1.28 showgenerated = 0
% 0.84/1.28 showkept = 0
% 0.84/1.28 showselected = 0
% 0.84/1.28 showdeleted = 0
% 0.84/1.28 showresimp = 1
% 0.84/1.28 showstatus = 2000
% 0.84/1.28
% 0.84/1.28 prologoutput = 0
% 0.84/1.28 nrgoals = 5000000
% 0.84/1.28 totalproof = 1
% 0.84/1.28
% 0.84/1.28 Symbols occurring in the translation:
% 0.84/1.28
% 0.84/1.28 {} [0, 0] (w:1, o:2, a:1, s:1, b:0),
% 0.84/1.28 . [1, 2] (w:1, o:145, a:1, s:1, b:0),
% 0.84/1.28 ! [4, 1] (w:0, o:122, a:1, s:1, b:0),
% 0.84/1.28 = [13, 2] (w:1, o:0, a:0, s:1, b:0),
% 0.84/1.28 ==> [14, 2] (w:1, o:0, a:0, s:1, b:0),
% 0.84/1.28 hAPP [38, 2] (w:1, o:169, a:1, s:1, b:0),
% 0.84/1.28 c_Relation_Otrans [41, 2] (w:1, o:170, a:1, s:1, b:0),
% 0.84/1.28 tc_prod [43, 2] (w:1, o:193, a:1, s:1, b:0),
% 0.84/1.28 c_Product__Type_OPair [44, 4] (w:1, o:259, a:1, s:1, b:0),
% 0.84/1.28 c_member [45, 3] (w:1, o:212, a:1, s:1, b:0),
% 0.84/1.28 c_FunDef_Oin__rel [56, 3] (w:1, o:214, a:1, s:1, b:0),
% 0.84/1.28 hBOOL [57, 1] (w:1, o:127, a:1, s:1, b:0),
% 0.84/1.28 c_Recdef_Osame__fst [60, 4] (w:1, o:260, a:1, s:1, b:0),
% 0.84/1.28 c_Nitpick_Orefl_H [61, 2] (w:1, o:194, a:1, s:1, b:0),
% 0.84/1.28 tc_Arrow__Order__Mirabelle_Oalt [63, 0] (w:1, o:54, a:1, s:1, b:0),
% 0.84/1.28 tc_HOL_Obool [64, 0] (w:1, o:55, a:1, s:1, b:0),
% 0.84/1.28 tc_fun [65, 2] (w:1, o:195, a:1, s:1, b:0),
% 0.84/1.28 c_Arrow__Order__Mirabelle_OLin [66, 0] (w:1, o:56, a:1, s:1, b:0),
% 0.84/1.28 c_Product__Type_Oprod_Oprod__rec [78, 5] (w:1, o:312, a:1, s:1, b:0)
% 0.84/1.28 ,
% 0.84/1.28 c_Relation_Oirrefl [79, 2] (w:1, o:196, a:1, s:1, b:0),
% 0.84/1.28 c_Wellfounded_Olex__prod [81, 4] (w:1, o:261, a:1, s:1, b:0),
% 0.84/1.28 c_Product__Type_Ointernal__split [82, 5] (w:1, o:313, a:1, s:1, b:0)
% 0.84/1.28 ,
% 0.84/1.28 c_Relation_ORange [83, 3] (w:1, o:215, a:1, s:1, b:0),
% 0.84/1.28 c_Relation_OId__on [84, 2] (w:1, o:197, a:1, s:1, b:0),
% 0.84/1.28 c_Relation_ODomain [85, 3] (w:1, o:216, a:1, s:1, b:0),
% 0.84/1.28 c_Relation_Ototal__on [86, 3] (w:1, o:218, a:1, s:1, b:0),
% 0.84/1.28 c_Relation_Oinv__image [88, 3] (w:1, o:219, a:1, s:1, b:0),
% 0.84/1.28 c_Order__Relation_Ostrict__linear__order__on [91, 3] (w:1, o:220, a:1
% 0.84/1.28 , s:1, b:0),
% 0.84/1.28 c_Wellfounded_Oacc [92, 2] (w:1, o:198, a:1, s:1, b:0),
% 0.84/1.28 c_Relation_Orefl__on [93, 3] (w:1, o:221, a:1, s:1, b:0),
% 0.84/1.28 c_Recdef_Owfrec__rel [97, 6] (w:1, o:323, a:1, s:1, b:0),
% 0.84/1.28 c_Order__Relation_Opreorder__on [99, 3] (w:1, o:222, a:1, s:1, b:0),
% 0.84/1.28
% 0.84/1.28 c_Transitive__Closure_Ortrancl [100, 2] (w:1, o:200, a:1, s:1, b:0),
% 0.84/1.28
% 0.84/1.28 c_Product__Type_Ocurry [101, 6] (w:1, o:324, a:1, s:1, b:0),
% 0.84/1.28 c_Relation_Osingle__valued [103, 3] (w:1, o:217, a:1, s:1, b:0),
% 0.84/1.28 c_Transitive__Closure_Otrancl [115, 2] (w:1, o:201, a:1, s:1, b:0),
% 0.84/1.28 c_Recdef_Ocut [116, 5] (w:1, o:314, a:1, s:1, b:0),
% 0.84/1.28 c_Wellfounded_Oacyclic [119, 2] (w:1, o:202, a:1, s:1, b:0),
% 0.84/1.28 c_Nitpick_Owf__wfrec_H [121, 5] (w:1, o:315, a:1, s:1, b:0),
% 0.84/1.28 c_Nitpick_Owf__wfrec [122, 4] (w:1, o:262, a:1, s:1, b:0),
% 0.84/1.28 c_Relation_OId [123, 1] (w:1, o:128, a:1, s:1, b:0),
% 0.84/1.28 c_Set_Oinsert [124, 3] (w:1, o:223, a:1, s:1, b:0),
% 0.84/1.28 c_Relation_Oantisym [125, 2] (w:1, o:203, a:1, s:1, b:0),
% 0.84/1.28 c_Lattices_Osemilattice__sup__class_Osup [126, 3] (w:1, o:224, a:1
% 0.84/1.28 , s:1, b:0),
% 0.84/1.28 class_Lattices_Olattice [129, 1] (w:1, o:129, a:1, s:1, b:0),
% 0.84/1.28 c_Order__Relation_Opartial__order__on [130, 3] (w:1, o:225, a:1, s:1
% 0.84/1.28 , b:0),
% 0.84/1.28 c_Wellfounded_Owf [132, 2] (w:1, o:204, a:1, s:1, b:0),
% 0.84/1.28 c_fequal [135, 1] (w:1, o:130, a:1, s:1, b:0),
% 0.84/1.28 class_Lattices_Osemilattice__sup [136, 1] (w:1, o:131, a:1, s:1, b:0)
% 0.84/1.28 ,
% 0.84/1.28 c_Wellfounded_Omeasure [141, 1] (w:1, o:132, a:1, s:1, b:0),
% 0.84/1.28 c_Order__Relation_Olinear__order__on [142, 3] (w:1, o:226, a:1, s:1
% 0.84/1.28 , b:0),
% 0.84/1.28 c_Recdef_Owfrec [144, 4] (w:1, o:263, a:1, s:1, b:0),
% 0.84/1.28 c_Wellfounded_OwfP [147, 2] (w:1, o:205, a:1, s:1, b:0),
% 0.84/1.28 c_Groups_Ominus__class_Ominus [148, 3] (w:1, o:227, a:1, s:1, b:0),
% 0.84/1.28 class_Groups_Ominus [149, 1] (w:1, o:133, a:1, s:1, b:0),
% 0.84/1.28 c_Order__Relation_Owell__order__on [150, 3] (w:1, o:228, a:1, s:1, b:
% 0.84/1.28 0),
% 0.84/1.28 c_Relation_OField [151, 2] (w:1, o:206, a:1, s:1, b:0),
% 0.84/1.28 tc_Nat_Onat [152, 0] (w:1, o:85, a:1, s:1, b:0),
% 0.84/1.28 c_Orderings_Oord__class_Oless [153, 3] (w:1, o:229, a:1, s:1, b:0),
% 0.84/1.28 c_Wellfounded_Oless__than [154, 0] (w:1, o:86, a:1, s:1, b:0),
% 0.84/1.28 c_Orderings_Oord__class_Oless__eq [155, 3] (w:1, o:230, a:1, s:1, b:0
% 0.84/1.28 ),
% 0.84/1.28 class_Orderings_Opreorder [158, 1] (w:1, o:136, a:1, s:1, b:0),
% 0.84/1.28 c_Wellfounded_Omlex__prod [159, 3] (w:1, o:231, a:1, s:1, b:0),
% 0.84/1.28 class_Orderings_Oord [160, 1] (w:1, o:134, a:1, s:1, b:0),
% 0.84/1.28 class_Orderings_Olinorder [161, 1] (w:1, o:137, a:1, s:1, b:0),
% 0.84/1.28 class_Orderings_Oorder [162, 1] (w:1, o:135, a:1, s:1, b:0),
% 0.84/1.28 c_Wellfounded_Opred__nat [165, 0] (w:1, o:95, a:1, s:1, b:0),
% 0.84/1.28 class_Groups_Oordered__ab__group__add [167, 1] (w:1, o:138, a:1, s:1
% 0.84/1.28 , b:0),
% 0.84/1.28 class_Groups_Oab__group__add [168, 1] (w:1, o:139, a:1, s:1, b:0),
% 0.84/1.28 c_FunDef_Opair__less [179, 0] (w:1, o:103, a:1, s:1, b:0),
% 0.84/1.28 c_Orderings_Obot__class_Obot [180, 1] (w:1, o:140, a:1, s:1, b:0),
% 0.84/1.28 class_Orderings_Obot [181, 1] (w:1, o:141, a:1, s:1, b:0),
% 0.84/1.28 class_Lattices_Obounded__lattice__bot [182, 1] (w:1, o:142, a:1, s:1
% 0.84/1.28 , b:0),
% 0.84/1.28 c_FunDef_Omax__strict [185, 0] (w:1, o:107, a:1, s:1, b:0),
% 0.84/1.28 c_FunDef_Omin__strict [188, 0] (w:1, o:109, a:1, s:1, b:0),
% 0.84/1.28 c_FunDef_Opair__leq [189, 0] (w:1, o:110, a:1, s:1, b:0),
% 0.84/1.28 c_FunDef_Omax__weak [190, 0] (w:1, o:111, a:1, s:1, b:0),
% 0.84/1.28 c_FunDef_Omin__weak [191, 0] (w:1, o:112, a:1, s:1, b:0),
% 0.84/1.28 c_Wellfounded_Omin__ext [192, 2] (w:1, o:207, a:1, s:1, b:0),
% 0.84/1.28 c_Wellfounded_Omax__ext [193, 2] (w:1, o:208, a:1, s:1, b:0),
% 0.84/1.28 c_Set_Othe__elem [194, 2] (w:1, o:199, a:1, s:1, b:0),
% 0.84/1.28 c_Nitpick_Ofold__graph_H [195, 6] (w:1, o:325, a:1, s:1, b:0),
% 0.84/1.28 c_Relation_OImage [196, 4] (w:1, o:264, a:1, s:1, b:0),
% 0.84/1.28 c_FunDef_Oreduction__pair [197, 2] (w:1, o:209, a:1, s:1, b:0),
% 0.84/1.28 c_FunDef_Orp__inv__image [203, 4] (w:1, o:265, a:1, s:1, b:0),
% 0.84/1.28 c_Relation_Orel__comp [204, 5] (w:1, o:316, a:1, s:1, b:0),
% 0.84/1.28 c_Equiv__Relations_Oequiv [205, 3] (w:1, o:213, a:1, s:1, b:0),
% 0.84/1.28 class_Lattices_Obounded__lattice [206, 1] (w:1, o:143, a:1, s:1, b:0)
% 0.84/1.28 ,
% 0.84/1.28 v_L [209, 0] (w:1, o:115, a:1, s:1, b:0),
% 0.84/1.28 alpha1 [210, 4] (w:1, o:266, a:1, s:1, b:1),
% 0.84/1.28 alpha2 [211, 6] (w:1, o:327, a:1, s:1, b:1),
% 0.84/1.28 alpha3 [212, 4] (w:1, o:272, a:1, s:1, b:1),
% 0.84/1.28 alpha4 [213, 3] (w:1, o:232, a:1, s:1, b:1),
% 0.84/1.28 alpha5 [214, 6] (w:1, o:329, a:1, s:1, b:1),
% 0.84/1.28 alpha6 [215, 6] (w:1, o:330, a:1, s:1, b:1),
% 0.84/1.28 alpha7 [216, 5] (w:1, o:317, a:1, s:1, b:1),
% 0.84/1.28 alpha8 [217, 4] (w:1, o:273, a:1, s:1, b:1),
% 0.84/1.28 alpha9 [218, 3] (w:1, o:233, a:1, s:1, b:1),
% 0.84/1.28 alpha10 [219, 3] (w:1, o:234, a:1, s:1, b:1),
% 0.84/1.28 alpha11 [220, 4] (w:1, o:274, a:1, s:1, b:1),
% 0.84/1.28 alpha12 [221, 3] (w:1, o:235, a:1, s:1, b:1),
% 0.84/1.28 alpha13 [222, 4] (w:1, o:275, a:1, s:1, b:1),
% 0.84/1.28 alpha14 [223, 4] (w:1, o:276, a:1, s:1, b:1),
% 0.84/1.28 alpha15 [224, 4] (w:1, o:277, a:1, s:1, b:1),
% 0.84/1.28 alpha16 [225, 4] (w:1, o:278, a:1, s:1, b:1),
% 1.47/1.82 alpha17 [226, 6] (w:1, o:326, a:1, s:1, b:1),
% 1.47/1.82 alpha18 [227, 0] (w:1, o:116, a:1, s:1, b:1),
% 1.47/1.82 alpha19 [228, 4] (w:1, o:279, a:1, s:1, b:1),
% 1.47/1.82 alpha20 [229, 3] (w:1, o:236, a:1, s:1, b:1),
% 1.47/1.82 alpha21 [230, 3] (w:1, o:237, a:1, s:1, b:1),
% 1.47/1.82 alpha22 [231, 4] (w:1, o:267, a:1, s:1, b:1),
% 1.47/1.82 alpha23 [232, 4] (w:1, o:268, a:1, s:1, b:1),
% 1.47/1.82 alpha24 [233, 4] (w:1, o:269, a:1, s:1, b:1),
% 1.47/1.82 alpha25 [234, 4] (w:1, o:270, a:1, s:1, b:1),
% 1.47/1.82 alpha26 [235, 7] (w:1, o:344, a:1, s:1, b:1),
% 1.47/1.82 alpha27 [236, 0] (w:1, o:117, a:1, s:1, b:1),
% 1.47/1.82 alpha28 [237, 0] (w:1, o:118, a:1, s:1, b:1),
% 1.47/1.82 alpha29 [238, 4] (w:1, o:271, a:1, s:1, b:1),
% 1.47/1.82 alpha30 [239, 4] (w:1, o:280, a:1, s:1, b:1),
% 1.47/1.82 alpha31 [240, 4] (w:1, o:281, a:1, s:1, b:1),
% 1.47/1.82 alpha32 [241, 4] (w:1, o:282, a:1, s:1, b:1),
% 1.47/1.82 alpha33 [242, 7] (w:1, o:345, a:1, s:1, b:1),
% 1.47/1.82 alpha34 [243, 0] (w:1, o:119, a:1, s:1, b:1),
% 1.47/1.82 alpha35 [244, 0] (w:1, o:120, a:1, s:1, b:1),
% 1.47/1.82 alpha36 [245, 4] (w:1, o:283, a:1, s:1, b:1),
% 1.47/1.82 alpha37 [246, 2] (w:1, o:210, a:1, s:1, b:1),
% 1.47/1.82 alpha38 [247, 2] (w:1, o:211, a:1, s:1, b:1),
% 1.47/1.82 alpha39 [248, 4] (w:1, o:284, a:1, s:1, b:1),
% 1.47/1.82 alpha40 [249, 4] (w:1, o:285, a:1, s:1, b:1),
% 1.47/1.82 alpha41 [250, 6] (w:1, o:328, a:1, s:1, b:1),
% 1.47/1.82 alpha42 [251, 9] (w:1, o:350, a:1, s:1, b:1),
% 1.47/1.82 alpha43 [252, 5] (w:1, o:318, a:1, s:1, b:1),
% 1.47/1.82 alpha44 [253, 4] (w:1, o:286, a:1, s:1, b:1),
% 1.47/1.82 alpha45 [254, 3] (w:1, o:238, a:1, s:1, b:1),
% 1.47/1.82 alpha46 [255, 0] (w:1, o:121, a:1, s:1, b:1),
% 1.47/1.82 alpha47 [256, 3] (w:1, o:239, a:1, s:1, b:1),
% 1.47/1.82 skol1 [257, 2] (w:1, o:171, a:1, s:1, b:1),
% 1.47/1.82 skol2 [258, 2] (w:1, o:172, a:1, s:1, b:1),
% 1.47/1.82 skol3 [259, 4] (w:1, o:287, a:1, s:1, b:1),
% 1.47/1.82 skol4 [260, 2] (w:1, o:175, a:1, s:1, b:1),
% 1.47/1.82 skol5 [261, 1] (w:1, o:144, a:1, s:1, b:1),
% 1.47/1.82 skol6 [262, 2] (w:1, o:181, a:1, s:1, b:1),
% 1.47/1.82 skol7 [263, 2] (w:1, o:184, a:1, s:1, b:1),
% 1.47/1.82 skol8 [264, 3] (w:1, o:243, a:1, s:1, b:1),
% 1.47/1.82 skol9 [265, 4] (w:1, o:291, a:1, s:1, b:1),
% 1.47/1.82 skol10 [266, 4] (w:1, o:292, a:1, s:1, b:1),
% 1.47/1.82 skol11 [267, 4] (w:1, o:293, a:1, s:1, b:1),
% 1.47/1.82 skol12 [268, 3] (w:1, o:244, a:1, s:1, b:1),
% 1.47/1.82 skol13 [269, 4] (w:1, o:294, a:1, s:1, b:1),
% 1.47/1.82 skol14 [270, 4] (w:1, o:295, a:1, s:1, b:1),
% 1.47/1.82 skol15 [271, 3] (w:1, o:245, a:1, s:1, b:1),
% 1.47/1.82 skol16 [272, 6] (w:1, o:331, a:1, s:1, b:1),
% 1.47/1.82 skol17 [273, 6] (w:1, o:332, a:1, s:1, b:1),
% 1.47/1.82 skol18 [274, 3] (w:1, o:246, a:1, s:1, b:1),
% 1.47/1.82 skol19 [275, 3] (w:1, o:247, a:1, s:1, b:1),
% 1.47/1.82 skol20 [276, 6] (w:1, o:333, a:1, s:1, b:1),
% 1.47/1.82 skol21 [277, 6] (w:1, o:334, a:1, s:1, b:1),
% 1.47/1.82 skol22 [278, 6] (w:1, o:335, a:1, s:1, b:1),
% 1.47/1.82 skol23 [279, 3] (w:1, o:248, a:1, s:1, b:1),
% 1.47/1.82 skol24 [280, 5] (w:1, o:319, a:1, s:1, b:1),
% 1.47/1.82 skol25 [281, 3] (w:1, o:249, a:1, s:1, b:1),
% 1.47/1.82 skol26 [282, 6] (w:1, o:336, a:1, s:1, b:1),
% 1.47/1.82 skol27 [283, 6] (w:1, o:337, a:1, s:1, b:1),
% 1.47/1.82 skol28 [284, 6] (w:1, o:338, a:1, s:1, b:1),
% 1.47/1.82 skol29 [285, 7] (w:1, o:346, a:1, s:1, b:1),
% 1.47/1.82 skol30 [286, 4] (w:1, o:296, a:1, s:1, b:1),
% 1.47/1.82 skol31 [287, 4] (w:1, o:297, a:1, s:1, b:1),
% 1.47/1.82 skol32 [288, 4] (w:1, o:298, a:1, s:1, b:1),
% 1.47/1.82 skol33 [289, 4] (w:1, o:299, a:1, s:1, b:1),
% 1.47/1.82 skol34 [290, 4] (w:1, o:300, a:1, s:1, b:1),
% 1.47/1.82 skol35 [291, 5] (w:1, o:320, a:1, s:1, b:1),
% 1.47/1.82 skol36 [292, 4] (w:1, o:301, a:1, s:1, b:1),
% 1.47/1.82 skol37 [293, 4] (w:1, o:302, a:1, s:1, b:1),
% 1.47/1.82 skol38 [294, 2] (w:1, o:173, a:1, s:1, b:1),
% 1.47/1.82 skol39 [295, 2] (w:1, o:174, a:1, s:1, b:1),
% 1.47/1.82 skol40 [296, 4] (w:1, o:303, a:1, s:1, b:1),
% 1.47/1.82 skol41 [297, 4] (w:1, o:304, a:1, s:1, b:1),
% 1.47/1.82 skol42 [298, 2] (w:1, o:185, a:1, s:1, b:1),
% 1.47/1.82 skol43 [299, 2] (w:1, o:186, a:1, s:1, b:1),
% 1.47/1.82 skol44 [300, 4] (w:1, o:305, a:1, s:1, b:1),
% 1.47/1.82 skol45 [301, 3] (w:1, o:250, a:1, s:1, b:1),
% 1.47/1.82 skol46 [302, 3] (w:1, o:251, a:1, s:1, b:1),
% 1.47/1.82 skol47 [303, 4] (w:1, o:306, a:1, s:1, b:1),
% 1.47/1.82 skol48 [304, 3] (w:1, o:252, a:1, s:1, b:1),
% 21.46/21.81 skol49 [305, 3] (w:1, o:253, a:1, s:1, b:1),
% 21.46/21.81 skol50 [306, 2] (w:1, o:176, a:1, s:1, b:1),
% 21.46/21.81 skol51 [307, 4] (w:1, o:307, a:1, s:1, b:1),
% 21.46/21.81 skol52 [308, 4] (w:1, o:308, a:1, s:1, b:1),
% 21.46/21.81 skol53 [309, 2] (w:1, o:177, a:1, s:1, b:1),
% 21.46/21.81 skol54 [310, 2] (w:1, o:178, a:1, s:1, b:1),
% 21.46/21.81 skol55 [311, 3] (w:1, o:254, a:1, s:1, b:1),
% 21.46/21.81 skol56 [312, 4] (w:1, o:309, a:1, s:1, b:1),
% 21.46/21.81 skol57 [313, 3] (w:1, o:255, a:1, s:1, b:1),
% 21.46/21.81 skol58 [314, 2] (w:1, o:179, a:1, s:1, b:1),
% 21.46/21.81 skol59 [315, 2] (w:1, o:180, a:1, s:1, b:1),
% 21.46/21.81 skol60 [316, 3] (w:1, o:256, a:1, s:1, b:1),
% 21.46/21.81 skol61 [317, 2] (w:1, o:182, a:1, s:1, b:1),
% 21.46/21.81 skol62 [318, 2] (w:1, o:183, a:1, s:1, b:1),
% 21.46/21.81 skol63 [319, 5] (w:1, o:321, a:1, s:1, b:1),
% 21.46/21.81 skol64 [320, 4] (w:1, o:310, a:1, s:1, b:1),
% 21.46/21.81 skol65 [321, 4] (w:1, o:311, a:1, s:1, b:1),
% 21.46/21.81 skol66 [322, 7] (w:1, o:347, a:1, s:1, b:1),
% 21.46/21.81 skol67 [323, 5] (w:1, o:322, a:1, s:1, b:1),
% 21.46/21.81 skol68 [324, 0] (w:1, o:48, a:1, s:1, b:1),
% 21.46/21.81 skol69 [325, 0] (w:1, o:49, a:1, s:1, b:1),
% 21.46/21.81 skol70 [326, 0] (w:1, o:50, a:1, s:1, b:1),
% 21.46/21.81 skol71 [327, 0] (w:1, o:51, a:1, s:1, b:1),
% 21.46/21.81 skol72 [328, 2] (w:1, o:187, a:1, s:1, b:1),
% 21.46/21.81 skol73 [329, 3] (w:1, o:240, a:1, s:1, b:1),
% 21.46/21.81 skol74 [330, 2] (w:1, o:188, a:1, s:1, b:1),
% 21.46/21.81 skol75 [331, 3] (w:1, o:241, a:1, s:1, b:1),
% 21.46/21.81 skol76 [332, 3] (w:1, o:242, a:1, s:1, b:1),
% 21.46/21.81 skol77 [333, 6] (w:1, o:339, a:1, s:1, b:1),
% 21.46/21.81 skol78 [334, 6] (w:1, o:340, a:1, s:1, b:1),
% 21.46/21.81 skol79 [335, 6] (w:1, o:341, a:1, s:1, b:1),
% 21.46/21.81 skol80 [336, 7] (w:1, o:348, a:1, s:1, b:1),
% 21.46/21.81 skol81 [337, 4] (w:1, o:288, a:1, s:1, b:1),
% 21.46/21.81 skol82 [338, 2] (w:1, o:189, a:1, s:1, b:1),
% 21.46/21.81 skol83 [339, 4] (w:1, o:289, a:1, s:1, b:1),
% 21.46/21.81 skol84 [340, 4] (w:1, o:290, a:1, s:1, b:1),
% 21.46/21.81 skol85 [341, 2] (w:1, o:190, a:1, s:1, b:1),
% 21.46/21.81 skol86 [342, 2] (w:1, o:191, a:1, s:1, b:1),
% 21.46/21.81 skol87 [343, 7] (w:1, o:349, a:1, s:1, b:1),
% 21.46/21.81 skol88 [344, 0] (w:1, o:52, a:1, s:1, b:1),
% 21.46/21.81 skol89 [345, 0] (w:1, o:53, a:1, s:1, b:1),
% 21.46/21.81 skol90 [346, 3] (w:1, o:257, a:1, s:1, b:1),
% 21.46/21.81 skol91 [347, 2] (w:1, o:192, a:1, s:1, b:1),
% 21.46/21.81 skol92 [348, 3] (w:1, o:258, a:1, s:1, b:1),
% 21.46/21.81 skol93 [349, 6] (w:1, o:342, a:1, s:1, b:1),
% 21.46/21.81 skol94 [350, 6] (w:1, o:343, a:1, s:1, b:1).
% 21.46/21.81
% 21.46/21.81
% 21.46/21.81 Starting Search:
% 21.46/21.81
% 21.46/21.81 *** allocated 75937 integers for clauses
% 21.46/21.81 *** allocated 113905 integers for clauses
% 21.46/21.81 Resimplifying inuse:
% 21.46/21.81 Done
% 21.46/21.81
% 21.46/21.81 *** allocated 170857 integers for clauses
% 21.46/21.81 *** allocated 113905 integers for termspace/termends
% 21.46/21.81
% 21.46/21.81 Intermediate Status:
% 21.46/21.81 Generated: 5251
% 21.46/21.81 Kept: 2020
% 21.46/21.81 Inuse: 136
% 21.46/21.81 Deleted: 6
% 21.46/21.81 Deletedinuse: 1
% 21.46/21.81
% 21.46/21.81 Resimplifying inuse:
% 21.46/21.81 Done
% 21.46/21.81
% 21.46/21.81 *** allocated 256285 integers for clauses
% 21.46/21.81 *** allocated 170857 integers for termspace/termends
% 21.46/21.81 Resimplifying inuse:
% 21.46/21.81 Done
% 21.46/21.81
% 21.46/21.81
% 21.46/21.81 Intermediate Status:
% 21.46/21.81 Generated: 9557
% 21.46/21.81 Kept: 4089
% 21.46/21.81 Inuse: 201
% 21.46/21.81 Deleted: 7
% 21.46/21.81 Deletedinuse: 2
% 21.46/21.81
% 21.46/21.81 *** allocated 384427 integers for clauses
% 21.46/21.81 Resimplifying inuse:
% 21.46/21.81 Done
% 21.46/21.81
% 21.46/21.81 *** allocated 256285 integers for termspace/termends
% 21.46/21.81 Resimplifying inuse:
% 21.46/21.81 Done
% 21.46/21.81
% 21.46/21.81
% 21.46/21.81 Intermediate Status:
% 21.46/21.81 Generated: 13550
% 21.46/21.81 Kept: 6175
% 21.46/21.81 Inuse: 331
% 21.46/21.81 Deleted: 7
% 21.46/21.81 Deletedinuse: 2
% 21.46/21.81
% 21.46/21.81 *** allocated 576640 integers for clauses
% 21.46/21.81 Resimplifying inuse:
% 21.46/21.81 Done
% 21.46/21.81
% 21.46/21.81 *** allocated 384427 integers for termspace/termends
% 21.46/21.81 Resimplifying inuse:
% 21.46/21.81 Done
% 21.46/21.81
% 21.46/21.81
% 21.46/21.81 Intermediate Status:
% 21.46/21.81 Generated: 18163
% 21.46/21.81 Kept: 8266
% 21.46/21.81 Inuse: 433
% 21.46/21.81 Deleted: 8
% 21.46/21.81 Deletedinuse: 2
% 21.46/21.81
% 21.46/21.81 Resimplifying inuse:
% 21.46/21.81 Done
% 21.46/21.81
% 21.46/21.81 Resimplifying inuse:
% 21.46/21.81 Done
% 21.46/21.81
% 21.46/21.81
% 21.46/21.81 Intermediate Status:
% 21.46/21.81 Generated: 22655
% 21.46/21.81 Kept: 10277
% 21.46/21.81 Inuse: 450
% 21.46/21.81 Deleted: 8
% 21.46/21.81 Deletedinuse: 2
% 21.46/21.81
% 21.46/21.81 *** allocated 864960 integers for clauses
% 21.46/21.81 Resimplifying inuse:
% 21.46/21.81 Done
% 21.46/21.81
% 21.46/21.81 Resimplifying inuse:
% 21.46/21.81 Done
% 21.46/21.81
% 21.46/21.81
% 21.46/21.81 Intermediate Status:
% 21.46/21.81 Generated: 29164
% 21.46/21.81 Kept: 12279
% 21.46/21.81 Inuse: 520
% 21.46/21.81 Deleted: 8
% 21.46/21.81 Deletedinuse: 2
% 21.46/21.81
% 21.46/21.81 *** allocated 576640 integers for termspace/termends
% 21.46/21.81 Resimplifying inuse:
% 21.46/21.81 Done
% 21.46/21.81
% 21.46/21.81
% 21.46/21.81 Intermediate Status:
% 21.46/21.81 Generated: 35335
% 21.46/21.81 Kept: 14863
% 21.46/21.81 Inuse: 570
% 21.46/21.81 Deleted: 8
% 71.88/72.28 Deletedinuse: 2
% 71.88/72.28
% 71.88/72.28 Resimplifying inuse:
% 71.88/72.28 Done
% 71.88/72.28
% 71.88/72.28 Resimplifying inuse:
% 71.88/72.28 Done
% 71.88/72.28
% 71.88/72.28 *** allocated 1297440 integers for clauses
% 71.88/72.28
% 71.88/72.28 Intermediate Status:
% 71.88/72.28 Generated: 42653
% 71.88/72.28 Kept: 16992
% 71.88/72.28 Inuse: 624
% 71.88/72.28 Deleted: 9
% 71.88/72.28 Deletedinuse: 2
% 71.88/72.28
% 71.88/72.28 Resimplifying inuse:
% 71.88/72.28 Done
% 71.88/72.28
% 71.88/72.28 *** allocated 864960 integers for termspace/termends
% 71.88/72.28 Resimplifying inuse:
% 71.88/72.28 Done
% 71.88/72.28
% 71.88/72.28
% 71.88/72.28 Intermediate Status:
% 71.88/72.28 Generated: 48681
% 71.88/72.28 Kept: 19045
% 71.88/72.28 Inuse: 664
% 71.88/72.28 Deleted: 9
% 71.88/72.28 Deletedinuse: 2
% 71.88/72.28
% 71.88/72.28 Resimplifying inuse:
% 71.88/72.28 Done
% 71.88/72.28
% 71.88/72.28 Resimplifying inuse:
% 71.88/72.28 Done
% 71.88/72.28
% 71.88/72.28 Resimplifying clauses:
% 71.88/72.28 Done
% 71.88/72.28
% 71.88/72.28 *** allocated 1297440 integers for termspace/termends
% 71.88/72.28
% 71.88/72.28 Intermediate Status:
% 71.88/72.28 Generated: 56578
% 71.88/72.28 Kept: 21986
% 71.88/72.28 Inuse: 689
% 71.88/72.28 Deleted: 82
% 71.88/72.28 Deletedinuse: 2
% 71.88/72.28
% 71.88/72.28 Resimplifying inuse:
% 71.88/72.28 Done
% 71.88/72.28
% 71.88/72.28 Resimplifying inuse:
% 71.88/72.28 Done
% 71.88/72.28
% 71.88/72.28 *** allocated 1946160 integers for clauses
% 71.88/72.28
% 71.88/72.28 Intermediate Status:
% 71.88/72.28 Generated: 62247
% 71.88/72.28 Kept: 24555
% 71.88/72.28 Inuse: 699
% 71.88/72.28 Deleted: 82
% 71.88/72.28 Deletedinuse: 2
% 71.88/72.28
% 71.88/72.28 Resimplifying inuse:
% 71.88/72.28 Done
% 71.88/72.28
% 71.88/72.28 Resimplifying inuse:
% 71.88/72.28 Done
% 71.88/72.28
% 71.88/72.28
% 71.88/72.28 Intermediate Status:
% 71.88/72.28 Generated: 69875
% 71.88/72.28 Kept: 26664
% 71.88/72.28 Inuse: 705
% 71.88/72.28 Deleted: 82
% 71.88/72.28 Deletedinuse: 2
% 71.88/72.28
% 71.88/72.28 Resimplifying inuse:
% 71.88/72.28 Done
% 71.88/72.28
% 71.88/72.28 Resimplifying inuse:
% 71.88/72.28 Done
% 71.88/72.28
% 71.88/72.28
% 71.88/72.28 Intermediate Status:
% 71.88/72.28 Generated: 76751
% 71.88/72.28 Kept: 28760
% 71.88/72.28 Inuse: 724
% 71.88/72.28 Deleted: 83
% 71.88/72.28 Deletedinuse: 3
% 71.88/72.28
% 71.88/72.28 Resimplifying inuse:
% 71.88/72.28 Done
% 71.88/72.28
% 71.88/72.28 *** allocated 1946160 integers for termspace/termends
% 71.88/72.28 Resimplifying inuse:
% 71.88/72.28 Done
% 71.88/72.28
% 71.88/72.28
% 71.88/72.28 Intermediate Status:
% 71.88/72.28 Generated: 83009
% 71.88/72.28 Kept: 30874
% 71.88/72.28 Inuse: 764
% 71.88/72.28 Deleted: 83
% 71.88/72.28 Deletedinuse: 3
% 71.88/72.28
% 71.88/72.28 Resimplifying inuse:
% 71.88/72.28 Done
% 71.88/72.28
% 71.88/72.28 Resimplifying inuse:
% 71.88/72.28 Done
% 71.88/72.28
% 71.88/72.28
% 71.88/72.28 Intermediate Status:
% 71.88/72.28 Generated: 92321
% 71.88/72.28 Kept: 33013
% 71.88/72.28 Inuse: 819
% 71.88/72.28 Deleted: 84
% 71.88/72.28 Deletedinuse: 4
% 71.88/72.28
% 71.88/72.28 Resimplifying inuse:
% 71.88/72.28 Done
% 71.88/72.28
% 71.88/72.28
% 71.88/72.28 Intermediate Status:
% 71.88/72.28 Generated: 98588
% 71.88/72.28 Kept: 35018
% 71.88/72.28 Inuse: 839
% 71.88/72.28 Deleted: 84
% 71.88/72.28 Deletedinuse: 4
% 71.88/72.28
% 71.88/72.28 Resimplifying inuse:
% 71.88/72.28 Done
% 71.88/72.28
% 71.88/72.28
% 71.88/72.28 Intermediate Status:
% 71.88/72.28 Generated: 108277
% 71.88/72.28 Kept: 38471
% 71.88/72.28 Inuse: 864
% 71.88/72.28 Deleted: 84
% 71.88/72.28 Deletedinuse: 4
% 71.88/72.28
% 71.88/72.28 Resimplifying inuse:
% 71.88/72.28 Done
% 71.88/72.28
% 71.88/72.28 *** allocated 2919240 integers for clauses
% 71.88/72.28 Resimplifying inuse:
% 71.88/72.28 Done
% 71.88/72.28
% 71.88/72.28 Resimplifying clauses:
% 71.88/72.28 Done
% 71.88/72.28
% 71.88/72.28
% 71.88/72.28 Intermediate Status:
% 71.88/72.28 Generated: 115410
% 71.88/72.28 Kept: 40627
% 71.88/72.28 Inuse: 889
% 71.88/72.28 Deleted: 147
% 71.88/72.28 Deletedinuse: 4
% 71.88/72.28
% 71.88/72.28 Resimplifying inuse:
% 71.88/72.28 Done
% 71.88/72.28
% 71.88/72.28 Resimplifying inuse:
% 71.88/72.28 Done
% 71.88/72.28
% 71.88/72.28
% 71.88/72.28 Intermediate Status:
% 71.88/72.28 Generated: 120154
% 71.88/72.28 Kept: 42687
% 71.88/72.28 Inuse: 912
% 71.88/72.28 Deleted: 147
% 71.88/72.28 Deletedinuse: 4
% 71.88/72.28
% 71.88/72.28 Resimplifying inuse:
% 71.88/72.28 Done
% 71.88/72.28
% 71.88/72.28 Resimplifying inuse:
% 71.88/72.28 Done
% 71.88/72.28
% 71.88/72.28
% 71.88/72.28 Intermediate Status:
% 71.88/72.28 Generated: 126541
% 71.88/72.28 Kept: 45007
% 71.88/72.28 Inuse: 939
% 71.88/72.28 Deleted: 147
% 71.88/72.28 Deletedinuse: 4
% 71.88/72.28
% 71.88/72.28 Resimplifying inuse:
% 71.88/72.28 Done
% 71.88/72.28
% 71.88/72.28 *** allocated 2919240 integers for termspace/termends
% 71.88/72.28
% 71.88/72.28 Intermediate Status:
% 71.88/72.28 Generated: 133587
% 71.88/72.28 Kept: 48045
% 71.88/72.28 Inuse: 964
% 71.88/72.28 Deleted: 147
% 71.88/72.28 Deletedinuse: 4
% 71.88/72.28
% 71.88/72.28 Resimplifying inuse:
% 71.88/72.28 Done
% 71.88/72.28
% 71.88/72.28 Resimplifying inuse:
% 71.88/72.28 Done
% 71.88/72.28
% 71.88/72.28
% 71.88/72.28 Intermediate Status:
% 71.88/72.28 Generated: 138677
% 71.88/72.28 Kept: 50098
% 71.88/72.28 Inuse: 995
% 71.88/72.28 Deleted: 147
% 71.88/72.28 Deletedinuse: 4
% 71.88/72.28
% 71.88/72.28 Resimplifying inuse:
% 71.88/72.28 Done
% 71.88/72.28
% 71.88/72.28 Resimplifying inuse:
% 71.88/72.28 Done
% 71.88/72.28
% 71.88/72.28
% 71.88/72.28 Intermediate Status:
% 71.88/72.28 Generated: 151232
% 71.88/72.28 Kept: 53468
% 71.88/72.28 Inuse: 1019
% 71.88/72.28 Deleted: 147
% 71.88/72.28 Deletedinuse: 4
% 71.88/72.28
% 71.88/72.28 Resimplifying inuse:
% 71.88/72.28 Done
% 71.88/72.28
% 71.88/72.28 Resimplifying inuse:
% 71.88/72.28 Done
% 71.88/72.28
% 71.88/72.28
% 71.88/72.28 Intermediate Status:
% 71.88/72.28 Generated: 159364
% 71.88/72.28 Kept: 55523
% 71.88/72.28 Inuse: 1059
% 71.88/72.28 Deleted: 147
% 71.88/72.28 Deletedinuse: 4
% 71.88/72.28
% 71.88/72.28 Resimplifying inuse:
% 71.88/72.28 Done
% 71.88/72.28
% 71.88/72.28 Resimplifying inuse:
% 71.88/72.28 Done
% 71.88/72.28
% 71.88/72.28
% 71.88/72.28 Intermediate Status:
% 71.88/72.28 Generated: 170957
% 71.88/72.28 Kept: 57634
% 71.88/72.28 Inuse: 1134
% 71.88/72.28 Deleted: 147
% 71.88/72.28 Deletedinuse: 4
% 71.88/72.28
% 71.88/72.28 Resimplifying inuse:
% 71.88/72.28 Done
% 71.88/72.28
% 71.88/72.28 Resimplifying inuse:
% 71.88/72.28 Done
% 71.88/72.28
% 71.88/72.28
% 71.88/72.28 Intermediate Status:
% 71.88/72.28 Generated: 176541
% 71.88/72.28 Kept: 59808
% 71.88/72.28 Inuse: 1169
% 71.88/72.28 Deleted: 147
% 71.88/72.28 Deletedinuse: 4
% 71.88/72.28
% 71.88/72.28 Resimplifying inuse:
% 71.88/72.28 Done
% 71.88/72.28
% 71.88/72.28 *** allocated 4378860 integers for clauses
% 71.88/72.28 Resimplifying clauses:
% 71.88/72.28 Done
% 71.88/72.28
% 71.88/72.28 Resimplifying inuse:
% 71.88/72.28 Done
% 71.88/72.28
% 71.88/72.28
% 71.88/72.28 Intermediate Status:
% 71.88/72.28 Generated: 189582
% 71.88/72.28 Kept: 63646
% 71.88/72.28 Inuse: 1214
% 71.88/72.28 Deleted: 187
% 71.88/72.28 Deletedinuse: 4
% 71.88/72.28
% 71.88/72.28 Resimplifying inuse:
% 71.88/72.28 Done
% 71.88/72.28
% 71.88/72.28 Resimplifying inuse:
% 71.88/72.28 Done
% 71.88/72.28
% 71.88/72.28
% 71.88/72.28 Intermediate Status:
% 71.88/72.28 Generated: 199006
% 71.88/72.28 Kept: 65712
% 71.88/72.28 Inuse: 1252
% 71.88/72.28 Deleted: 188
% 71.88/72.28 Deletedinuse: 5
% 71.88/72.28
% 71.88/72.28 Resimplifying inuse:
% 71.88/72.28 Done
% 71.88/72.28
% 71.88/72.28 Resimplifying inuse:
% 71.88/72.28 Done
% 71.88/72.28
% 71.88/72.28
% 71.88/72.28 Intermediate Status:
% 71.88/72.28 Generated: 207823
% 71.88/72.28 Kept: 67840
% 71.88/72.28 Inuse: 1261
% 156.33/156.77 Deleted: 189
% 156.33/156.77 Deletedinuse: 5
% 156.33/156.77
% 156.33/156.77 Resimplifying inuse:
% 156.33/156.77 Done
% 156.33/156.77
% 156.33/156.77 Resimplifying inuse:
% 156.33/156.77 Done
% 156.33/156.77
% 156.33/156.77
% 156.33/156.77 Intermediate Status:
% 156.33/156.77 Generated: 218365
% 156.33/156.77 Kept: 70003
% 156.33/156.77 Inuse: 1293
% 156.33/156.77 Deleted: 190
% 156.33/156.77 Deletedinuse: 6
% 156.33/156.77
% 156.33/156.77
% 156.33/156.77 Intermediate Status:
% 156.33/156.77 Generated: 227741
% 156.33/156.77 Kept: 72645
% 156.33/156.77 Inuse: 1313
% 156.33/156.77 Deleted: 190
% 156.33/156.77 Deletedinuse: 6
% 156.33/156.77
% 156.33/156.77 Resimplifying inuse:
% 156.33/156.77 Done
% 156.33/156.77
% 156.33/156.77 Resimplifying inuse:
% 156.33/156.77 Done
% 156.33/156.77
% 156.33/156.77
% 156.33/156.77 Intermediate Status:
% 156.33/156.77 Generated: 235803
% 156.33/156.77 Kept: 74685
% 156.33/156.77 Inuse: 1333
% 156.33/156.77 Deleted: 190
% 156.33/156.77 Deletedinuse: 6
% 156.33/156.77
% 156.33/156.77 Resimplifying inuse:
% 156.33/156.77 Done
% 156.33/156.77
% 156.33/156.77 *** allocated 4378860 integers for termspace/termends
% 156.33/156.77 Resimplifying inuse:
% 156.33/156.77 Done
% 156.33/156.77
% 156.33/156.77
% 156.33/156.77 Intermediate Status:
% 156.33/156.77 Generated: 243659
% 156.33/156.77 Kept: 76791
% 156.33/156.77 Inuse: 1358
% 156.33/156.77 Deleted: 190
% 156.33/156.77 Deletedinuse: 6
% 156.33/156.77
% 156.33/156.77 Resimplifying inuse:
% 156.33/156.77 Done
% 156.33/156.77
% 156.33/156.77 Resimplifying inuse:
% 156.33/156.77 Done
% 156.33/156.77
% 156.33/156.77
% 156.33/156.77 Intermediate Status:
% 156.33/156.77 Generated: 253118
% 156.33/156.77 Kept: 79352
% 156.33/156.77 Inuse: 1373
% 156.33/156.77 Deleted: 190
% 156.33/156.77 Deletedinuse: 6
% 156.33/156.77
% 156.33/156.77 Resimplifying inuse:
% 156.33/156.77 Done
% 156.33/156.77
% 156.33/156.77 Resimplifying clauses:
% 156.33/156.77 Done
% 156.33/156.77
% 156.33/156.77 Resimplifying inuse:
% 156.33/156.77 Done
% 156.33/156.77
% 156.33/156.77
% 156.33/156.77 Intermediate Status:
% 156.33/156.77 Generated: 263399
% 156.33/156.77 Kept: 81544
% 156.33/156.77 Inuse: 1398
% 156.33/156.77 Deleted: 368
% 156.33/156.77 Deletedinuse: 6
% 156.33/156.77
% 156.33/156.77 Resimplifying inuse:
% 156.33/156.77 Done
% 156.33/156.77
% 156.33/156.77 Resimplifying inuse:
% 156.33/156.77 Done
% 156.33/156.77
% 156.33/156.77
% 156.33/156.77 Intermediate Status:
% 156.33/156.77 Generated: 268913
% 156.33/156.77 Kept: 83547
% 156.33/156.77 Inuse: 1422
% 156.33/156.77 Deleted: 369
% 156.33/156.77 Deletedinuse: 7
% 156.33/156.77
% 156.33/156.77 Resimplifying inuse:
% 156.33/156.77 Done
% 156.33/156.77
% 156.33/156.77
% 156.33/156.77 Intermediate Status:
% 156.33/156.77 Generated: 276735
% 156.33/156.77 Kept: 88210
% 156.33/156.77 Inuse: 1438
% 156.33/156.77 Deleted: 369
% 156.33/156.77 Deletedinuse: 7
% 156.33/156.77
% 156.33/156.77 Resimplifying inuse:
% 156.33/156.77 Done
% 156.33/156.77
% 156.33/156.77 Resimplifying inuse:
% 156.33/156.77 Done
% 156.33/156.77
% 156.33/156.77
% 156.33/156.77 Intermediate Status:
% 156.33/156.77 Generated: 284808
% 156.33/156.77 Kept: 90390
% 156.33/156.77 Inuse: 1493
% 156.33/156.77 Deleted: 369
% 156.33/156.77 Deletedinuse: 7
% 156.33/156.77
% 156.33/156.77 Resimplifying inuse:
% 156.33/156.77 Done
% 156.33/156.77
% 156.33/156.77 Resimplifying inuse:
% 156.33/156.77 Done
% 156.33/156.77
% 156.33/156.77
% 156.33/156.77 Intermediate Status:
% 156.33/156.77 Generated: 291542
% 156.33/156.77 Kept: 92428
% 156.33/156.77 Inuse: 1521
% 156.33/156.77 Deleted: 370
% 156.33/156.77 Deletedinuse: 8
% 156.33/156.77
% 156.33/156.77 Resimplifying inuse:
% 156.33/156.77 Done
% 156.33/156.77
% 156.33/156.77 *** allocated 6568290 integers for clauses
% 156.33/156.77 Resimplifying inuse:
% 156.33/156.77 Done
% 156.33/156.77
% 156.33/156.77
% 156.33/156.77 Intermediate Status:
% 156.33/156.77 Generated: 295993
% 156.33/156.77 Kept: 94493
% 156.33/156.77 Inuse: 1539
% 156.33/156.77 Deleted: 371
% 156.33/156.77 Deletedinuse: 9
% 156.33/156.77
% 156.33/156.77 Resimplifying inuse:
% 156.33/156.77 Done
% 156.33/156.77
% 156.33/156.77 Resimplifying inuse:
% 156.33/156.77 Done
% 156.33/156.77
% 156.33/156.77
% 156.33/156.77 Intermediate Status:
% 156.33/156.77 Generated: 301535
% 156.33/156.77 Kept: 96752
% 156.33/156.77 Inuse: 1568
% 156.33/156.77 Deleted: 371
% 156.33/156.77 Deletedinuse: 9
% 156.33/156.77
% 156.33/156.77 Resimplifying inuse:
% 156.33/156.77 Done
% 156.33/156.77
% 156.33/156.77 Resimplifying inuse:
% 156.33/156.77 Done
% 156.33/156.77
% 156.33/156.77
% 156.33/156.77 Intermediate Status:
% 156.33/156.77 Generated: 306946
% 156.33/156.77 Kept: 98847
% 156.33/156.77 Inuse: 1598
% 156.33/156.77 Deleted: 371
% 156.33/156.77 Deletedinuse: 9
% 156.33/156.77
% 156.33/156.77 Resimplifying inuse:
% 156.33/156.77 Done
% 156.33/156.77
% 156.33/156.77 Resimplifying inuse:
% 156.33/156.77 Done
% 156.33/156.77
% 156.33/156.77 Resimplifying clauses:
% 156.33/156.77 Done
% 156.33/156.77
% 156.33/156.77
% 156.33/156.77 Intermediate Status:
% 156.33/156.77 Generated: 313385
% 156.33/156.77 Kept: 101135
% 156.33/156.77 Inuse: 1623
% 156.33/156.77 Deleted: 873
% 156.33/156.77 Deletedinuse: 10
% 156.33/156.77
% 156.33/156.77 Resimplifying inuse:
% 156.33/156.77 Done
% 156.33/156.77
% 156.33/156.77 Resimplifying inuse:
% 156.33/156.77 Done
% 156.33/156.77
% 156.33/156.77
% 156.33/156.77 Intermediate Status:
% 156.33/156.77 Generated: 318715
% 156.33/156.77 Kept: 103291
% 156.33/156.77 Inuse: 1653
% 156.33/156.77 Deleted: 873
% 156.33/156.77 Deletedinuse: 10
% 156.33/156.77
% 156.33/156.77 Resimplifying inuse:
% 156.33/156.77 Done
% 156.33/156.77
% 156.33/156.77 Resimplifying inuse:
% 156.33/156.77 Done
% 156.33/156.77
% 156.33/156.77
% 156.33/156.77 Intermediate Status:
% 156.33/156.77 Generated: 324514
% 156.33/156.77 Kept: 105372
% 156.33/156.77 Inuse: 1684
% 156.33/156.77 Deleted: 873
% 156.33/156.77 Deletedinuse: 10
% 156.33/156.77
% 156.33/156.77 Resimplifying inuse:
% 156.33/156.77 Done
% 156.33/156.77
% 156.33/156.77
% 156.33/156.77 Intermediate Status:
% 156.33/156.77 Generated: 335122
% 156.33/156.77 Kept: 107968
% 156.33/156.77 Inuse: 1693
% 156.33/156.77 Deleted: 873
% 156.33/156.77 Deletedinuse: 10
% 156.33/156.77
% 156.33/156.77 Resimplifying inuse:
% 156.33/156.77 Done
% 156.33/156.77
% 156.33/156.77 Resimplifying inuse:
% 156.33/156.77 Done
% 156.33/156.77
% 156.33/156.77
% 156.33/156.77 Intermediate Status:
% 156.33/156.77 Generated: 344059
% 156.33/156.77 Kept: 110078
% 156.33/156.77 Inuse: 1723
% 156.33/156.77 Deleted: 873
% 156.33/156.77 Deletedinuse: 10
% 156.33/156.77
% 156.33/156.77 Resimplifying inuse:
% 156.33/156.77 Done
% 156.33/156.77
% 156.33/156.77 Resimplifying inuse:
% 156.33/156.77 Done
% 156.33/156.77
% 156.33/156.77
% 156.33/156.77 Intermediate Status:
% 156.33/156.77 Generated: 351608
% 156.33/156.77 Kept: 112242
% 156.33/156.77 Inuse: 1753
% 156.33/156.77 Deleted: 874
% 156.33/156.77 Deletedinuse: 11
% 156.33/156.77
% 156.33/156.77 Resimplifying inuse:
% 156.33/156.77 Done
% 156.33/156.77
% 156.33/156.77 Resimplifying inuse:
% 156.33/156.77 Done
% 156.33/156.77
% 156.33/156.77
% 156.33/156.77 Intermediate Status:
% 156.33/156.77 Generated: 360976
% 156.33/156.77 Kept: 114384
% 156.33/156.77 Inuse: 1788
% 156.33/156.77 Deleted: 874
% 156.33/156.77 Deletedinuse: 11
% 156.33/156.77
% 156.33/156.77 Resimplifying inuse:
% 156.33/156.77 Done
% 156.33/156.77
% 156.33/156.77 Resimplifying inuse:
% 156.33/156.77 Done
% 156.33/156.77
% 156.33/156.77
% 156.33/156.77 Intermediate Status:
% 156.33/156.77 Generated: 369387
% 156.33/156.77 Kept: 116432
% 156.33/156.77 Inuse: 1828
% 156.33/156.77 Deleted: 874
% 156.33/156.77 Deletedinuse: 11
% 156.33/156.77
% 156.33/156.77 Resimplifying inuse:
% 156.33/156.77 Done
% 156.33/156.77
% 156.33/156.77 Resimplifying inuse:
% 156.33/156.77 Done
% 156.33/156.77
% 156.33/156.77
% 156.33/156.77 Intermediate Status:
% 156.33/156.77 Generated: 381125
% 156.33/156.77 Kept: 118613
% 156.33/156.77 Inuse: 1878
% 156.33/156.77 Deleted: 875
% 156.33/156.77 Deletedinuse: 12
% 156.33/156.77
% 156.33/156.77 Resimplifying inuse:
% 156.33/156.77 Done
% 156.33/156.77
% 156.33/156.77 Resimplifying inuse:
% 156.33/156.77 Done
% 156.33/156.77
% 156.33/156.77
% 156.33/156.77 Intermediate Status:
% 156.33/156.77 Generated: 386632
% 156.33/156.77 Kept: 120664
% 156.33/156.77 Inuse: 1894
% 156.33/156.77 Deleted: 875
% 156.33/156.77 Deletedinuse: 12
% 156.33/156.77
% 156.33/156.77 Resimplifying clauses:
% 156.33/156.77 Done
% 156.33/156.77
% 156.33/156.77 Resimplifying inuse:
% 300.10/300.53 Cputime limit exceeded (core dumped)
%------------------------------------------------------------------------------