TSTP Solution File: SWW190+1 by Bliksem---1.12
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- Process Solution
%------------------------------------------------------------------------------
% File : Bliksem---1.12
% Problem : SWW190+1 : TPTP v8.1.0. Released v5.2.0.
% Transfm : none
% Format : tptp:raw
% Command : bliksem %s
% Computer : n021.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8042.1875MB
% OS : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit : 0s
% DateTime : Wed Jul 20 23:21:08 EDT 2022
% Result : Timeout 300.07s 300.49s
% Output : None
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----No solution output by system
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.13 % Problem : SWW190+1 : TPTP v8.1.0. Released v5.2.0.
% 0.13/0.13 % Command : bliksem %s
% 0.13/0.35 % Computer : n021.cluster.edu
% 0.13/0.35 % Model : x86_64 x86_64
% 0.13/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.35 % Memory : 8042.1875MB
% 0.13/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.35 % CPULimit : 300
% 0.13/0.35 % DateTime : Sun Jun 5 03:07:04 EDT 2022
% 0.13/0.35 % CPUTime :
% 0.93/1.55 *** allocated 10000 integers for termspace/termends
% 0.93/1.55 *** allocated 10000 integers for clauses
% 0.93/1.55 *** allocated 10000 integers for justifications
% 0.93/1.55 *** allocated 15000 integers for termspace/termends
% 0.93/1.55 *** allocated 22500 integers for termspace/termends
% 0.93/1.55 *** allocated 33750 integers for termspace/termends
% 0.93/1.55 Bliksem 1.12
% 0.93/1.55
% 0.93/1.55
% 0.93/1.55 Automatic Strategy Selection
% 0.93/1.55
% 0.93/1.55 *** allocated 50625 integers for termspace/termends
% 0.93/1.55 *** allocated 75937 integers for termspace/termends
% 0.93/1.55 *** allocated 113905 integers for termspace/termends
% 0.93/1.55
% 0.93/1.55 Clauses:
% 0.93/1.55
% 0.93/1.55 { ! hAPP( Y, skol1( X, Y ) ) = hAPP( X, skol1( X, Y ) ), Y = X }.
% 0.93/1.55 { hBOOL( hAPP( v_P, v_x____ ) ) }.
% 0.93/1.55 { hBOOL( hAPP( v_P, skol2 ) ) }.
% 0.93/1.55 { ! hBOOL( hAPP( v_P, X ) ), c_Orderings_Oord__class_Oless(
% 0.93/1.55 tc_RealDef_Oreal, X, skol3 ) }.
% 0.93/1.55 { hBOOL( hAPP( c_Orderings_Otop__class_Otop( tc_fun( Y, tc_HOL_Obool ) ), X
% 0.93/1.55 ) ) }.
% 0.93/1.55 { ! class_Orderings_Otop( X ), hAPP( c_Orderings_Otop__class_Otop( tc_fun(
% 0.93/1.55 Z, X ) ), Y ) = c_Orderings_Otop__class_Otop( X ) }.
% 0.93/1.55 { ! hBOOL( hAPP( v_P, X ) ), c_Orderings_Oord__class_Oless(
% 0.93/1.55 tc_RealDef_Oreal, X, v_Y____ ) }.
% 0.93/1.55 { ! class_Orderings_Oord( X ), c_Lubs_Oubs( X, Z, Y ) = c_Set_OCollect( X,
% 0.93/1.55 c_Lubs_OisUb( X, Z, Y ) ) }.
% 0.93/1.55 { c_Set_OCollect( Y, X ) = X }.
% 0.93/1.55 { c_member( tc_RealDef_Oreal, skol4, c_Set_OCollect( tc_RealDef_Oreal, v_P
% 0.93/1.55 ) ) }.
% 0.93/1.55 { ! class_Complete__Lattice_Ocomplete__lattice( X ),
% 0.93/1.55 c_Complete__Lattice_OSup__class_OSup( X, c_Orderings_Otop__class_Otop(
% 0.93/1.55 tc_fun( X, tc_HOL_Obool ) ) ) = c_Orderings_Otop__class_Otop( X ) }.
% 0.93/1.55 { ! class_Orderings_Oord( X ), ! hBOOL( hAPP( c_Lubs_OisUb( X, T, Z ), Y )
% 0.93/1.55 ), ! c_Lubs_Osetge( X, Y, c_Set_OCollect( X, c_Lubs_OisUb( X, T, Z ) ) )
% 0.93/1.55 , c_Lubs_OisLub( X, T, Z, Y ) }.
% 0.93/1.55 { ! class_Orderings_Oord( X ), ! hBOOL( hAPP( c_Lubs_OisUb( X, T, Z ), Y )
% 0.93/1.55 ), c_Lubs_Osetle( X, Z, Y ) }.
% 0.93/1.55 { ! class_Orderings_Oord( X ), ! c_Lubs_OisLub( X, T, Z, Y ), hBOOL( hAPP(
% 0.93/1.55 c_Lubs_OisUb( X, T, Z ), Y ) ) }.
% 0.93/1.55 { c_Limits_Owithin( Y, X, c_Orderings_Otop__class_Otop( tc_fun( Y,
% 0.93/1.55 tc_HOL_Obool ) ) ) = X }.
% 0.93/1.55 { ! c_member( tc_fun( Z, tc_HOL_Obool ), Y, X ), ! c_member( Z, T, Y ),
% 0.93/1.55 c_member( Z, T, c_Complete__Lattice_OSup__class_OSup( tc_fun( Z,
% 0.93/1.55 tc_HOL_Obool ), X ) ) }.
% 0.93/1.55 { ! Y = X, alpha35( X, Y, Z, T ), ! c_member( T, Z, Y ) }.
% 0.93/1.55 { ! Y = X, alpha35( X, Y, Z, T ), ! c_member( T, Z, X ) }.
% 0.93/1.55 { ! alpha35( X, Y, Z, T ), c_member( T, Z, Y ) }.
% 0.93/1.55 { ! alpha35( X, Y, Z, T ), c_member( T, Z, X ) }.
% 0.93/1.55 { ! c_member( T, Z, Y ), ! c_member( T, Z, X ), alpha35( X, Y, Z, T ) }.
% 0.93/1.55 { c_member( Y, X, c_Orderings_Otop__class_Otop( tc_fun( Y, tc_HOL_Obool ) )
% 0.93/1.55 ) }.
% 0.93/1.55 { ! class_Orderings_Opreorder( X ), ! c_Orderings_Oord__class_Oless( X, Y,
% 0.93/1.55 Y ) }.
% 0.93/1.55 { ! class_Orderings_Olinorder( X ), Z = Y, c_Orderings_Oord__class_Oless( X
% 0.93/1.55 , Z, Y ), c_Orderings_Oord__class_Oless( X, Y, Z ) }.
% 0.93/1.55 { ! class_Orderings_Olinorder( X ), ! c_Orderings_Oord__class_Oless( X, Z,
% 0.93/1.55 Y ), ! Z = Y }.
% 0.93/1.55 { ! class_Orderings_Olinorder( X ), ! c_Orderings_Oord__class_Oless( X, Y,
% 0.93/1.55 Z ), ! Z = Y }.
% 0.93/1.55 { ! class_Orderings_Olinorder( X ), c_Orderings_Oord__class_Oless( X, Z, Y
% 0.93/1.55 ), c_Orderings_Oord__class_Oless( X, Y, Z ), Z = Y }.
% 0.93/1.55 { ! class_Orderings_Olinorder( X ), ! c_Orderings_Oord__class_Oless( X, Y,
% 0.93/1.55 Z ), ! c_Orderings_Oord__class_Oless( X, Z, Y ) }.
% 0.93/1.55 { ! class_Orderings_Olinorder( X ), ! Z = Y, !
% 0.93/1.55 c_Orderings_Oord__class_Oless( X, Z, Y ) }.
% 0.93/1.55 { ! c_member( Z, Y, X ), hBOOL( hAPP( X, Y ) ) }.
% 0.93/1.55 { ! hBOOL( hAPP( X, Y ) ), c_member( Z, Y, X ) }.
% 0.93/1.55 { ! class_Orderings_Olinorder( X ), c_Orderings_Oord__class_Oless( X, Z, Y
% 0.93/1.55 ), Z = Y, c_Orderings_Oord__class_Oless( X, Y, Z ) }.
% 0.93/1.55 { ! c_member( Z, Y, c_fequal( X ) ), Y = X }.
% 0.93/1.55 { ! Y = X, c_member( Z, Y, c_fequal( X ) ) }.
% 0.93/1.55 { ! class_Complete__Lattice_Ocomplete__lattice( X ), !
% 0.93/1.55 class_Orderings_Olinorder( X ), ! c_Orderings_Oord__class_Oless( X, Z,
% 0.93/1.55 c_Complete__Lattice_OSup__class_OSup( X, Y ) ), c_member( X, skol5( X, Y
% 0.93/1.55 , T ), Y ) }.
% 0.93/1.55 { ! class_Complete__Lattice_Ocomplete__lattice( X ), !
% 0.93/1.55 class_Orderings_Olinorder( X ), ! c_Orderings_Oord__class_Oless( X, Z,
% 0.93/1.55 c_Complete__Lattice_OSup__class_OSup( X, Y ) ),
% 0.93/1.55 c_Orderings_Oord__class_Oless( X, Z, skol5( X, Y, Z ) ) }.
% 0.93/1.55 { ! class_Complete__Lattice_Ocomplete__lattice( X ), !
% 0.93/1.55 class_Orderings_Olinorder( X ), ! c_member( X, T, Y ), !
% 0.93/1.55 c_Orderings_Oord__class_Oless( X, Z, T ), c_Orderings_Oord__class_Oless(
% 0.93/1.55 X, Z, c_Complete__Lattice_OSup__class_OSup( X, Y ) ) }.
% 0.93/1.55 { ! class_Orderings_Olinorder( X ), c_Orderings_Oord__class_Oless( X, Z, Y
% 0.93/1.55 ), c_Orderings_Oord__class_Oless( X, Y, Z ), Y = Z }.
% 0.93/1.55 { ! class_Orderings_Olinorder( X ), c_Orderings_Oord__class_Oless( X, Z, Y
% 0.93/1.55 ), ! Y = Z, ! c_Orderings_Oord__class_Oless( X, Y, Z ) }.
% 0.93/1.55 { ! class_Orderings_Olinorder( X ), Z = Y, c_Orderings_Oord__class_Oless( X
% 0.93/1.55 , Z, Y ), c_Orderings_Oord__class_Oless( X, Y, Z ) }.
% 0.93/1.55 { ! class_Orderings_Oorder( X ), ! c_Orderings_Oord__class_Oless( X, Z, Y )
% 0.93/1.55 , ! Z = Y }.
% 0.93/1.55 { ! class_Orderings_Opreorder( X ), ! c_Orderings_Oord__class_Oless( X, Z,
% 0.93/1.55 Y ), ! c_Orderings_Oord__class_Oless( X, Y, Z ) }.
% 0.93/1.55 { ! class_Orderings_Opreorder( X ), ! c_Orderings_Oord__class_Oless( X, Z,
% 0.93/1.55 Y ), ! c_Orderings_Oord__class_Oless( X, Y, Z ) }.
% 0.93/1.55 { ! class_Orderings_Oorder( X ), ! c_Orderings_Oord__class_Oless( X, Z, Y )
% 0.93/1.55 , ! Z = Y }.
% 0.93/1.55 { ! class_Orderings_Oorder( X ), ! c_Orderings_Oord__class_Oless( X, Z, Y )
% 0.93/1.55 , ! Y = Z }.
% 0.93/1.55 { ! Y = X, ! c_member( T, Z, Y ), c_member( T, Z, X ) }.
% 0.93/1.55 { ! Y = X, ! c_member( T, Z, X ), c_member( T, Z, Y ) }.
% 0.93/1.55 { ! Y = X, ! c_member( T, Y, Z ), c_member( T, X, Z ) }.
% 0.93/1.55 { ! Y = X, ! c_member( T, X, Z ), c_member( T, Y, Z ) }.
% 0.93/1.55 { ! class_Orderings_Opreorder( X ), ! c_Orderings_Oord__class_Oless( X, Z,
% 0.93/1.55 Y ), ! c_Orderings_Oord__class_Oless( X, Y, Z ) }.
% 0.93/1.55 { ! class_Orderings_Oorder( X ), ! c_Orderings_Oord__class_Oless( X, Z, Y )
% 0.93/1.55 , ! c_Orderings_Oord__class_Oless( X, Y, Z ) }.
% 0.93/1.55 { ! Y = X, ! c_member( T, X, Z ), c_member( T, Y, Z ) }.
% 0.93/1.55 { ! class_Orderings_Oord( X ), ! Z = Y, ! c_Orderings_Oord__class_Oless( X
% 0.93/1.55 , Y, T ), c_Orderings_Oord__class_Oless( X, Z, T ) }.
% 0.93/1.55 { ! class_Orderings_Oorder( X ), ! Z = Y, ! c_Orderings_Oord__class_Oless(
% 0.93/1.55 X, T, Y ), c_Orderings_Oord__class_Oless( X, T, Z ) }.
% 0.93/1.55 { ! class_Orderings_Oord( X ), ! c_Orderings_Oord__class_Oless( X, Z, Y ),
% 0.93/1.55 ! Y = T, c_Orderings_Oord__class_Oless( X, Z, T ) }.
% 0.93/1.55 { ! class_Orderings_Oorder( X ), ! c_Orderings_Oord__class_Oless( X, Z, Y )
% 0.93/1.55 , ! Z = T, c_Orderings_Oord__class_Oless( X, T, Y ) }.
% 0.93/1.55 { ! class_Orderings_Opreorder( X ), ! c_Orderings_Oord__class_Oless( X, Z,
% 0.93/1.55 Y ), ! c_Orderings_Oord__class_Oless( X, Y, T ),
% 0.93/1.55 c_Orderings_Oord__class_Oless( X, Z, T ) }.
% 0.93/1.55 { ! class_Orderings_Oorder( X ), ! c_Orderings_Oord__class_Oless( X, Z, Y )
% 0.93/1.55 , ! c_Orderings_Oord__class_Oless( X, T, Z ),
% 0.93/1.55 c_Orderings_Oord__class_Oless( X, T, Y ) }.
% 0.93/1.55 { ! class_Orderings_Opreorder( X ), ! c_Orderings_Oord__class_Oless( X, Z,
% 0.93/1.55 Y ), ! c_Orderings_Oord__class_Oless( X, Y, Z ) }.
% 0.93/1.55 { ! class_Orderings_Oord( X ), ! c_Lubs_OisLub( X, T, Z, Y ), c_Lubs_Osetle
% 0.93/1.55 ( X, Z, Y ) }.
% 0.93/1.55 { ! class_Orderings_Oord( X ), ! c_Lubs_OisLub( X, Z, T, Y ), c_member( X,
% 0.93/1.55 Y, Z ) }.
% 0.93/1.55 { ! class_Orderings_Oord( X ), ! c_Lubs_OisLub( X, T, Z, Y ), c_Lubs_Osetge
% 0.93/1.55 ( X, Y, c_Lubs_Oubs( X, T, Z ) ) }.
% 0.93/1.55 { ! class_Orderings_Olinorder( X ), c_Orderings_Oord__class_Oless( X, Z, Y
% 0.93/1.55 ), Z = Y, c_Orderings_Oord__class_Oless( X, Y, Z ) }.
% 0.93/1.55 { ! class_Orderings_Oord( X ), ! c_Lubs_Osetle( X, Z, Y ), ! c_member( X, Y
% 0.93/1.55 , T ), hBOOL( hAPP( c_Lubs_OisUb( X, T, Z ), Y ) ) }.
% 0.93/1.55 { ! class_Orderings_Oord( X ), ! hBOOL( hAPP( c_Lubs_OisUb( X, T, Z ), Y )
% 0.93/1.55 ), c_Lubs_Osetle( X, Z, Y ) }.
% 0.93/1.55 { ! class_Orderings_Oord( X ), ! hBOOL( hAPP( c_Lubs_OisUb( X, T, Z ), Y )
% 0.93/1.55 ), c_member( X, Y, T ) }.
% 0.93/1.55 { ! class_Orderings_Oord( X ), ! c_Lubs_Osetle( X, Z, Y ), ! c_member( X, Y
% 0.93/1.55 , T ), hBOOL( hAPP( c_Lubs_OisUb( X, T, Z ), Y ) ) }.
% 0.93/1.55 { c_Complete__Lattice_OSup__class_OSup( tc_fun( X, tc_HOL_Obool ),
% 0.93/1.55 c_Orderings_Otop__class_Otop( tc_fun( tc_fun( X, tc_HOL_Obool ),
% 0.93/1.55 tc_HOL_Obool ) ) ) = c_Orderings_Otop__class_Otop( tc_fun( X,
% 0.93/1.55 tc_HOL_Obool ) ) }.
% 0.93/1.55 { ! class_Orderings_Oord( X ), ! hBOOL( hAPP( c_Lubs_OisUb( X, Z, T ), Y )
% 0.93/1.55 ), c_member( X, Y, Z ) }.
% 0.93/1.55 { c_member( Y, X, c_Orderings_Otop__class_Otop( tc_fun( Y, tc_HOL_Obool ) )
% 0.93/1.55 ) }.
% 0.93/1.55 { ! class_Orderings_Oord( X ), ! c_Lubs_OisLub( X, T, Z, Y ),
% 0.93/1.55 c_Lubs_OleastP( X, c_Lubs_OisUb( X, T, Z ), Y ) }.
% 0.93/1.55 { ! class_Orderings_Oord( X ), ! c_Lubs_OleastP( X, c_Lubs_OisUb( X, T, Z )
% 0.93/1.55 , Y ), c_Lubs_OisLub( X, T, Z, Y ) }.
% 0.93/1.55 { ! class_Orderings_Oord( X ), ! c_Lubs_OisLub( X, T, Z, Y ),
% 0.93/1.55 c_Lubs_OleastP( X, c_Lubs_OisUb( X, T, Z ), Y ) }.
% 0.93/1.55 { ! class_Orderings_Oord( X ), ! c_Lubs_OleastP( X, c_Lubs_OisUb( X, T, Z )
% 0.93/1.55 , Y ), c_Lubs_OisLub( X, T, Z, Y ) }.
% 0.93/1.55 { ! class_Orderings_Oord( X ), ! c_Lubs_OleastP( X, Z, Y ), c_Lubs_Osetge(
% 0.93/1.55 X, Y, c_Set_OCollect( X, Z ) ) }.
% 0.93/1.55 { ! class_Orderings_Oord( X ), ! c_Lubs_OleastP( X, Z, Y ), hBOOL( hAPP( Z
% 0.93/1.55 , Y ) ) }.
% 0.93/1.55 { ! class_Orderings_Oord( X ), ! c_Lubs_OleastP( X, Z, Y ), c_Lubs_Osetge(
% 0.93/1.55 X, Y, c_Set_OCollect( X, Z ) ) }.
% 0.93/1.55 { ! class_Orderings_Oord( X ), ! hBOOL( hAPP( Z, Y ) ), ! c_Lubs_Osetge( X
% 0.93/1.55 , Y, c_Set_OCollect( X, Z ) ), c_Lubs_OleastP( X, Z, Y ) }.
% 0.93/1.55 { ! c_member( tc_RealDef_Oreal, Y, X ), ! hBOOL( hAPP( c_Lubs_OisUb(
% 0.93/1.55 tc_RealDef_Oreal, c_Orderings_Otop__class_Otop( tc_fun( tc_RealDef_Oreal
% 0.93/1.55 , tc_HOL_Obool ) ), X ), Z ) ), c_Lubs_OisLub( tc_RealDef_Oreal,
% 0.93/1.55 c_Orderings_Otop__class_Otop( tc_fun( tc_RealDef_Oreal, tc_HOL_Obool ) )
% 0.93/1.55 , X, skol6( X ) ) }.
% 0.93/1.55 { ! c_member( tc_RealDef_Oreal, Y, X ), ! hBOOL( hAPP( c_Lubs_OisUb(
% 0.93/1.55 tc_RealDef_Oreal, c_Orderings_Otop__class_Otop( tc_fun( tc_RealDef_Oreal
% 0.93/1.55 , tc_HOL_Obool ) ), X ), Z ) ), c_Lubs_OisLub( tc_RealDef_Oreal,
% 0.93/1.55 c_Orderings_Otop__class_Otop( tc_fun( tc_RealDef_Oreal, tc_HOL_Obool ) )
% 0.93/1.55 , X, skol7( X ) ) }.
% 0.93/1.55 { ! class_Rings_Olinordered__idom( X ), Z = Y,
% 0.93/1.55 c_Orderings_Oord__class_Oless( X, Z, Y ), c_Orderings_Oord__class_Oless(
% 0.93/1.55 X, Y, Z ) }.
% 0.93/1.55 { hBOOL( hAPP( v_P, skol8 ) ) }.
% 0.93/1.55 { ! hBOOL( hAPP( v_P, X ) ), c_Orderings_Oord__class_Oless(
% 0.93/1.55 tc_RealDef_Oreal, X, skol64 ) }.
% 0.93/1.55 { ! class_Orderings_Oord( X ), ! c_Lubs_OisLub( X, T, Z, Y ), ! hBOOL( hAPP
% 0.93/1.55 ( c_Lubs_OisUb( X, T, Z ), U ) ), c_Orderings_Oord__class_Oless__eq( X, Y
% 0.93/1.55 , U ) }.
% 0.93/1.55 { c_member( X, skol9( X ), c_Orderings_Otop__class_Otop( tc_fun( X,
% 0.93/1.55 tc_HOL_Obool ) ) ) }.
% 0.93/1.55 { ! class_Orderings_Opreorder( X ), c_Orderings_Oord__class_Oless__eq( X, Y
% 0.93/1.55 , Y ) }.
% 0.93/1.55 { ! c_Orderings_Oord__class_Oless__eq( tc_fun( Z, tc_HOL_Obool ), Y, X ), !
% 0.93/1.55 c_member( Z, T, Y ), c_member( Z, T, X ) }.
% 0.93/1.55 { ! class_Orderings_Oord( X ), ! c_Orderings_Oord__class_Oless__eq( tc_fun
% 0.93/1.55 ( T, X ), Z, Y ), c_Orderings_Oord__class_Oless__eq( X, hAPP( Z, U ),
% 0.93/1.55 hAPP( Y, U ) ) }.
% 0.93/1.55 { ! class_Orderings_Oord( X ), ! c_Orderings_Oord__class_Oless__eq( X, hAPP
% 0.93/1.55 ( Z, skol10( X, Y, Z ) ), hAPP( Y, skol10( X, Y, Z ) ) ),
% 0.93/1.55 c_Orderings_Oord__class_Oless__eq( tc_fun( T, X ), Z, Y ) }.
% 0.93/1.55 { ! class_Orderings_Olinorder( X ), c_Orderings_Oord__class_Oless__eq( X, Z
% 0.93/1.55 , Y ), c_Orderings_Oord__class_Oless__eq( X, Y, Z ) }.
% 0.93/1.55 { ! class_Orderings_Oorder( X ), ! Z = Y, c_Orderings_Oord__class_Oless__eq
% 0.93/1.55 ( X, Z, Y ) }.
% 0.93/1.55 { ! class_Orderings_Oorder( X ), ! Z = Y, c_Orderings_Oord__class_Oless__eq
% 0.93/1.55 ( X, Y, Z ) }.
% 0.93/1.55 { ! class_Orderings_Oorder( X ), ! c_Orderings_Oord__class_Oless__eq( X, Z
% 0.93/1.55 , Y ), ! c_Orderings_Oord__class_Oless__eq( X, Y, Z ), Z = Y }.
% 0.93/1.55 { ! class_Orderings_Opreorder( X ), ! Z = Y,
% 0.93/1.55 c_Orderings_Oord__class_Oless__eq( X, Z, Y ) }.
% 0.93/1.55 { ! c_member( tc_fun( Z, tc_HOL_Obool ), Y, X ),
% 0.93/1.55 c_Orderings_Oord__class_Oless__eq( tc_fun( Z, tc_HOL_Obool ), Y,
% 0.93/1.55 c_Complete__Lattice_OSup__class_OSup( tc_fun( Z, tc_HOL_Obool ), X ) ) }
% 0.93/1.55 .
% 0.93/1.55 { ! c_Orderings_Oord__class_Oless__eq( tc_fun( tc_fun( Z, tc_HOL_Obool ),
% 0.93/1.55 tc_HOL_Obool ), Y, X ), c_Orderings_Oord__class_Oless__eq( tc_fun( Z,
% 0.93/1.55 tc_HOL_Obool ), c_Complete__Lattice_OSup__class_OSup( tc_fun( Z,
% 0.93/1.55 tc_HOL_Obool ), Y ), c_Complete__Lattice_OSup__class_OSup( tc_fun( Z,
% 0.93/1.55 tc_HOL_Obool ), X ) ) }.
% 0.93/1.55 { ! class_Orderings_Oord( X ), ! c_Orderings_Oord__class_Oless__eq( tc_fun
% 0.93/1.55 ( T, X ), Z, Y ), c_Orderings_Oord__class_Oless__eq( X, hAPP( Z, U ),
% 0.93/1.55 hAPP( Y, U ) ) }.
% 0.93/1.55 { ! class_Orderings_Oorder( X ), ! c_Orderings_Oord__class_Oless__eq( X, Z
% 0.93/1.55 , Y ), ! c_Orderings_Oord__class_Oless__eq( X, Y, Z ), Y = Z }.
% 0.93/1.55 { ! class_Orderings_Oorder( X ), ! c_Orderings_Oord__class_Oless__eq( X, Z
% 0.93/1.55 , Y ), ! Y = Z, c_Orderings_Oord__class_Oless__eq( X, Y, Z ) }.
% 0.93/1.55 { ! class_Orderings_Oord( X ), ! Z = Y, ! c_Orderings_Oord__class_Oless__eq
% 0.93/1.55 ( X, Y, T ), c_Orderings_Oord__class_Oless__eq( X, Z, T ) }.
% 0.93/1.55 { ! class_Orderings_Oorder( X ), ! Z = Y, !
% 0.93/1.55 c_Orderings_Oord__class_Oless__eq( X, T, Y ),
% 0.93/1.55 c_Orderings_Oord__class_Oless__eq( X, T, Z ) }.
% 0.93/1.55 { ! class_Orderings_Oord( X ), ! c_Orderings_Oord__class_Oless__eq( X, Z, Y
% 0.93/1.55 ), ! Y = T, c_Orderings_Oord__class_Oless__eq( X, Z, T ) }.
% 0.93/1.55 { ! class_Orderings_Oorder( X ), ! c_Orderings_Oord__class_Oless__eq( X, Z
% 0.93/1.55 , Y ), ! Z = T, c_Orderings_Oord__class_Oless__eq( X, T, Y ) }.
% 0.93/1.55 { ! class_Orderings_Oorder( X ), ! c_Orderings_Oord__class_Oless__eq( X, Z
% 0.93/1.55 , Y ), ! c_Orderings_Oord__class_Oless__eq( X, Y, Z ), Z = Y }.
% 0.93/1.55 { ! class_Orderings_Opreorder( X ), ! c_Orderings_Oord__class_Oless__eq( X
% 0.93/1.55 , Z, Y ), ! c_Orderings_Oord__class_Oless__eq( X, Y, T ),
% 0.93/1.55 c_Orderings_Oord__class_Oless__eq( X, Z, T ) }.
% 0.93/1.55 { ! class_Orderings_Oorder( X ), ! c_Orderings_Oord__class_Oless__eq( X, Z
% 0.93/1.55 , Y ), ! c_Orderings_Oord__class_Oless__eq( X, Y, Z ), Y = Z }.
% 0.93/1.55 { ! class_Orderings_Oorder( X ), ! c_Orderings_Oord__class_Oless__eq( X, Z
% 0.93/1.55 , Y ), ! c_Orderings_Oord__class_Oless__eq( X, T, Z ),
% 0.93/1.55 c_Orderings_Oord__class_Oless__eq( X, T, Y ) }.
% 0.93/1.55 { ! class_Orderings_Oord( X ), ! c_Orderings_Oord__class_Oless__eq( tc_fun
% 0.93/1.55 ( T, X ), Z, Y ), c_Orderings_Oord__class_Oless__eq( X, hAPP( Z, U ),
% 0.93/1.55 hAPP( Y, U ) ) }.
% 0.93/1.55 { ! c_Lubs_OisLub( tc_RealDef_Oreal, Z, Y, X ), ! c_Lubs_OisLub(
% 0.93/1.55 tc_RealDef_Oreal, Z, Y, T ), X = T }.
% 0.93/1.55 { ! class_Orderings_Olinorder( X ), c_Orderings_Oord__class_Oless__eq( X, Z
% 0.93/1.55 , Y ), c_Orderings_Oord__class_Oless__eq( X, Y, Z ) }.
% 0.93/1.55 { ! class_Orderings_Oord( X ), ! c_Lubs_OleastP( X, Z, Y ), hBOOL( hAPP( Z
% 0.93/1.55 , Y ) ) }.
% 0.93/1.55 { ! c_Orderings_Oord__class_Oless( tc_fun( Z, tc_HOL_Obool ), Y, X ), !
% 0.93/1.55 c_member( Z, T, Y ), c_member( Z, T, X ) }.
% 0.93/1.55 { ! class_Orderings_Oorder( X ), ! c_Orderings_Oord__class_Oless__eq( X, Z
% 0.93/1.55 , Y ), ! c_Orderings_Oord__class_Oless( X, T, Z ),
% 0.93/1.55 c_Orderings_Oord__class_Oless( X, T, Y ) }.
% 0.93/1.55 { ! class_Orderings_Opreorder( X ), ! c_Orderings_Oord__class_Oless__eq( X
% 0.93/1.55 , Z, Y ), ! c_Orderings_Oord__class_Oless( X, Y, T ),
% 0.93/1.55 c_Orderings_Oord__class_Oless( X, Z, T ) }.
% 0.93/1.55 { ! class_Orderings_Oorder( X ), ! c_Orderings_Oord__class_Oless( X, Z, Y )
% 0.93/1.55 , ! c_Orderings_Oord__class_Oless__eq( X, T, Z ),
% 0.93/1.55 c_Orderings_Oord__class_Oless( X, T, Y ) }.
% 0.93/1.55 { ! class_Orderings_Opreorder( X ), ! c_Orderings_Oord__class_Oless( X, Z,
% 0.93/1.55 Y ), ! c_Orderings_Oord__class_Oless__eq( X, Y, T ),
% 0.93/1.55 c_Orderings_Oord__class_Oless( X, Z, T ) }.
% 0.93/1.55 { ! class_Orderings_Oorder( X ), ! c_Orderings_Oord__class_Oless__eq( X, Z
% 0.93/1.55 , Y ), Y = Z, c_Orderings_Oord__class_Oless( X, Z, Y ) }.
% 0.93/1.55 { ! class_Orderings_Oorder( X ), ! c_Orderings_Oord__class_Oless__eq( X, Z
% 0.93/1.55 , Y ), Z = Y, c_Orderings_Oord__class_Oless( X, Z, Y ) }.
% 0.93/1.55 { ! class_Orderings_Oorder( X ), ! c_Orderings_Oord__class_Oless__eq( X, Z
% 0.93/1.55 , Y ), c_Orderings_Oord__class_Oless( X, Z, Y ), Z = Y }.
% 0.93/1.55 { ! class_Orderings_Olinorder( X ), ! c_Orderings_Oord__class_Oless__eq( X
% 0.93/1.55 , Z, Y ), c_Orderings_Oord__class_Oless( X, Z, Y ), Z = Y }.
% 0.93/1.55 { ! class_Orderings_Olinorder( X ), ! c_Orderings_Oord__class_Oless__eq( X
% 0.93/1.55 , Z, Y ), ! Z = Y, ! c_Orderings_Oord__class_Oless( X, Z, Y ) }.
% 0.93/1.55 { ! class_Orderings_Opreorder( X ), ! c_Orderings_Oord__class_Oless( X, Z,
% 0.93/1.55 Y ), c_Orderings_Oord__class_Oless__eq( X, Z, Y ) }.
% 0.93/1.55 { ! class_Orderings_Olinorder( X ), ! c_Orderings_Oord__class_Oless__eq( X
% 0.93/1.55 , Z, Y ), ! c_Orderings_Oord__class_Oless( X, Y, Z ) }.
% 0.93/1.55 { ! class_Orderings_Oorder( X ), Z = Y, ! c_Orderings_Oord__class_Oless__eq
% 0.93/1.55 ( X, Y, Z ), c_Orderings_Oord__class_Oless( X, Y, Z ) }.
% 0.93/1.55 { ! class_Orderings_Oorder( X ), Z = Y, ! c_Orderings_Oord__class_Oless__eq
% 0.93/1.55 ( X, Z, Y ), c_Orderings_Oord__class_Oless( X, Z, Y ) }.
% 0.93/1.55 { ! class_Orderings_Olinorder( X ), c_Orderings_Oord__class_Oless( X, Z, Y
% 0.93/1.55 ), ! c_Orderings_Oord__class_Oless__eq( X, Z, Y ), Z = Y }.
% 0.93/1.55 { ! class_Orderings_Olinorder( X ), c_Orderings_Oord__class_Oless( X, Z, Y
% 0.93/1.55 ), ! Z = Y, c_Orderings_Oord__class_Oless__eq( X, Z, Y ) }.
% 0.93/1.55 { ! class_Orderings_Olinorder( X ), c_Orderings_Oord__class_Oless__eq( X, Z
% 0.93/1.55 , Y ), c_Orderings_Oord__class_Oless( X, Y, Z ) }.
% 0.93/1.55 { ! class_Orderings_Olinorder( X ), c_Orderings_Oord__class_Oless( X, Z, Y
% 0.93/1.55 ), c_Orderings_Oord__class_Oless__eq( X, Y, Z ) }.
% 0.93/1.55 { ! class_Orderings_Oorder( X ), ! c_Orderings_Oord__class_Oless__eq( X, Z
% 0.93/1.55 , Y ), c_Orderings_Oord__class_Oless( X, Z, Y ), Z = Y }.
% 0.93/1.55 { ! class_Orderings_Oorder( X ), ! c_Orderings_Oord__class_Oless( X, Z, Y )
% 0.93/1.55 , c_Orderings_Oord__class_Oless__eq( X, Z, Y ) }.
% 0.93/1.55 { ! class_Orderings_Oorder( X ), ! Z = Y, c_Orderings_Oord__class_Oless__eq
% 0.93/1.55 ( X, Z, Y ) }.
% 0.93/1.55 { ! class_Orderings_Opreorder( X ), ! c_Orderings_Oord__class_Oless( X, Z,
% 0.93/1.55 Y ), c_Orderings_Oord__class_Oless__eq( X, Z, Y ) }.
% 0.93/1.55 { ! class_Orderings_Opreorder( X ), ! c_Orderings_Oord__class_Oless( X, Z,
% 0.93/1.55 Y ), ! c_Orderings_Oord__class_Oless__eq( X, Y, Z ) }.
% 0.93/1.55 { ! class_Orderings_Opreorder( X ), ! c_Orderings_Oord__class_Oless__eq( X
% 0.93/1.55 , Z, Y ), c_Orderings_Oord__class_Oless__eq( X, Y, Z ),
% 0.93/1.55 c_Orderings_Oord__class_Oless( X, Z, Y ) }.
% 0.93/1.55 { ! class_Orderings_Oorder( X ), ! c_Orderings_Oord__class_Oless( X, Z, Y )
% 0.93/1.55 , c_Orderings_Oord__class_Oless__eq( X, Z, Y ) }.
% 0.93/1.55 { ! class_Orderings_Oorder( X ), ! c_Orderings_Oord__class_Oless( X, Z, Y )
% 0.93/1.55 , ! Z = Y }.
% 0.93/1.55 { ! class_Orderings_Oorder( X ), ! c_Orderings_Oord__class_Oless__eq( X, Z
% 0.93/1.55 , Y ), Z = Y, c_Orderings_Oord__class_Oless( X, Z, Y ) }.
% 0.93/1.55 { ! class_Orderings_Olinorder( X ), c_Orderings_Oord__class_Oless__eq( X, Z
% 0.93/1.55 , Y ), c_Orderings_Oord__class_Oless( X, Y, Z ) }.
% 0.93/1.55 { ! class_Orderings_Olinorder( X ), c_Orderings_Oord__class_Oless__eq( X, Z
% 0.93/1.55 , Y ), c_Orderings_Oord__class_Oless( X, Y, Z ) }.
% 0.93/1.55 { ! class_Orderings_Olinorder( X ), ! c_Orderings_Oord__class_Oless( X, Y,
% 0.93/1.55 Z ), ! c_Orderings_Oord__class_Oless__eq( X, Z, Y ) }.
% 0.93/1.55 { ! class_Orderings_Olinorder( X ), c_Orderings_Oord__class_Oless( X, Z, Y
% 0.93/1.55 ), c_Orderings_Oord__class_Oless__eq( X, Y, Z ) }.
% 0.93/1.55 { ! class_Orderings_Olinorder( X ), ! c_Orderings_Oord__class_Oless__eq( X
% 0.93/1.55 , Y, Z ), ! c_Orderings_Oord__class_Oless( X, Z, Y ) }.
% 0.93/1.55 { ! c_Orderings_Oord__class_Oless__eq( tc_fun( Z, tc_HOL_Obool ), Y, X ), !
% 0.93/1.55 c_member( Z, T, Y ), c_member( Z, T, X ) }.
% 0.93/1.55 { ! c_member( Z, Y, X ), ! c_Orderings_Oord__class_Oless__eq( tc_fun( Z,
% 0.93/1.55 tc_HOL_Obool ), X, T ), c_member( Z, Y, T ) }.
% 0.93/1.55 { ! c_Orderings_Oord__class_Oless__eq( tc_fun( Z, tc_HOL_Obool ), Y, X ), !
% 0.93/1.55 c_member( Z, T, Y ), c_member( Z, T, X ) }.
% 0.93/1.55 { ! class_Orderings_Otop( X ), c_Orderings_Oord__class_Oless__eq( X, Y,
% 0.93/1.55 c_Orderings_Otop__class_Otop( X ) ) }.
% 0.93/1.55 { c_Orderings_Oord__class_Oless__eq( tc_fun( Y, tc_HOL_Obool ), X,
% 0.93/1.55 c_Orderings_Otop__class_Otop( tc_fun( Y, tc_HOL_Obool ) ) ) }.
% 0.93/1.55 { ! class_Complete__Lattice_Ocomplete__lattice( X ), !
% 0.93/1.55 c_Orderings_Oord__class_Oless__eq( X,
% 0.93/1.55 c_Complete__Lattice_OSup__class_OSup( X, Z ), Y ), ! c_member( X, T, Z )
% 0.93/1.55 , c_Orderings_Oord__class_Oless__eq( X, T, Y ) }.
% 0.93/1.55 { ! class_Complete__Lattice_Ocomplete__lattice( X ), c_member( X, skol11( X
% 0.93/1.55 , T, Z ), Z ), c_Orderings_Oord__class_Oless__eq( X,
% 0.93/1.55 c_Complete__Lattice_OSup__class_OSup( X, Z ), Y ) }.
% 0.93/1.55 { ! class_Complete__Lattice_Ocomplete__lattice( X ), !
% 0.93/1.55 c_Orderings_Oord__class_Oless__eq( X, skol11( X, Y, Z ), Y ),
% 0.93/1.55 c_Orderings_Oord__class_Oless__eq( X,
% 0.93/1.55 c_Complete__Lattice_OSup__class_OSup( X, Z ), Y ) }.
% 0.93/1.55 { ! class_Orderings_Oord( X ), ! c_Lubs_OleastP( X, Z, Y ), ! c_member( X,
% 0.93/1.55 T, c_Set_OCollect( X, Z ) ), c_Orderings_Oord__class_Oless__eq( X, Y, T )
% 0.93/1.55 }.
% 0.93/1.55 { ! class_Orderings_Oord( X ), ! c_Lubs_Osetle( X, Z, Y ), ! c_member( X, T
% 0.93/1.55 , Z ), c_Orderings_Oord__class_Oless__eq( X, T, Y ) }.
% 0.93/1.55 { ! class_Orderings_Oord( X ), c_member( X, skol12( X, T, Z ), Z ),
% 0.93/1.55 c_Lubs_Osetle( X, Z, Y ) }.
% 0.93/1.55 { ! class_Orderings_Oord( X ), ! c_Orderings_Oord__class_Oless__eq( X,
% 0.93/1.55 skol12( X, Y, Z ), Y ), c_Lubs_Osetle( X, Z, Y ) }.
% 0.93/1.55 { ! class_Orderings_Oord( X ), ! c_Lubs_Osetge( X, Z, Y ), ! c_member( X, T
% 0.93/1.55 , Y ), c_Orderings_Oord__class_Oless__eq( X, Z, T ) }.
% 0.93/1.55 { ! class_Orderings_Oord( X ), c_member( X, skol13( X, Y, T ), Y ),
% 0.93/1.55 c_Lubs_Osetge( X, Z, Y ) }.
% 0.93/1.55 { ! class_Orderings_Oord( X ), ! c_Orderings_Oord__class_Oless__eq( X, Z,
% 0.93/1.55 skol13( X, Y, Z ) ), c_Lubs_Osetge( X, Z, Y ) }.
% 0.93/1.55 { ! class_Complete__Lattice_Ocomplete__lattice( X ), ! c_member( X, Z, Y )
% 0.93/1.55 , c_Orderings_Oord__class_Oless__eq( X, Z,
% 0.93/1.55 c_Complete__Lattice_OSup__class_OSup( X, Y ) ) }.
% 0.93/1.55 { ! class_Orderings_Oord( X ), ! c_Lubs_OisLub( X, T, Z, Y ), ! c_member( X
% 0.93/1.55 , U, Z ), c_Orderings_Oord__class_Oless__eq( X, U, Y ) }.
% 0.93/1.55 { ! class_Orderings_Oord( X ), ! hBOOL( hAPP( c_Lubs_OisUb( X, T, Z ), Y )
% 0.93/1.55 ), ! c_member( X, U, Z ), c_Orderings_Oord__class_Oless__eq( X, U, Y ) }
% 0.93/1.55 .
% 0.93/1.55 { ! class_Orderings_Oord( X ), ! c_Lubs_Osetle( X, Z, Y ), ! c_member( X, T
% 0.93/1.55 , Z ), c_Orderings_Oord__class_Oless__eq( X, T, Y ) }.
% 0.93/1.55 { ! class_Orderings_Oord( X ), ! c_Lubs_Osetge( X, Z, Y ), ! c_member( X, T
% 0.93/1.55 , Y ), c_Orderings_Oord__class_Oless__eq( X, Z, T ) }.
% 0.93/1.55 { ! c_member( Z, Y, c_Complete__Lattice_OSup__class_OSup( tc_fun( Z,
% 0.93/1.55 tc_HOL_Obool ), X ) ), c_member( Z, Y, skol14( T, Y, Z ) ) }.
% 0.93/1.55 { ! c_member( Z, Y, c_Complete__Lattice_OSup__class_OSup( tc_fun( Z,
% 0.93/1.55 tc_HOL_Obool ), X ) ), c_member( tc_fun( Z, tc_HOL_Obool ), skol14( X, Y
% 0.93/1.55 , Z ), X ) }.
% 0.93/1.55 { ! class_Complete__Lattice_Ocomplete__lattice( X ), c_member( X, skol15( X
% 0.93/1.55 , T, Z ), Z ), c_Orderings_Oord__class_Oless__eq( X,
% 0.93/1.55 c_Complete__Lattice_OSup__class_OSup( X, Z ), Y ) }.
% 0.93/1.55 { ! class_Complete__Lattice_Ocomplete__lattice( X ), !
% 0.93/1.55 c_Orderings_Oord__class_Oless__eq( X, skol15( X, Y, Z ), Y ),
% 0.93/1.55 c_Orderings_Oord__class_Oless__eq( X,
% 0.93/1.55 c_Complete__Lattice_OSup__class_OSup( X, Z ), Y ) }.
% 0.93/1.55 { ! class_Orderings_Oord( X ), c_member( X, skol16( X, T, Z ), Z ), hBOOL(
% 0.93/1.55 hAPP( c_Lubs_OisUb( X, c_Orderings_Otop__class_Otop( tc_fun( X,
% 0.93/1.55 tc_HOL_Obool ) ), Z ), Y ) ) }.
% 0.93/1.55 { ! class_Orderings_Oord( X ), ! c_Orderings_Oord__class_Oless__eq( X,
% 0.93/1.55 skol16( X, Y, Z ), Y ), hBOOL( hAPP( c_Lubs_OisUb( X,
% 0.93/1.55 c_Orderings_Otop__class_Otop( tc_fun( X, tc_HOL_Obool ) ), Z ), Y ) ) }.
% 0.93/1.55 { ! c_Orderings_Oord__class_Oless__eq( tc_RealDef_Oreal, Y, X ),
% 0.93/1.55 c_Orderings_Oord__class_Oless( tc_RealDef_Oreal, Y, X ), Y = X }.
% 0.93/1.55 { ! c_Orderings_Oord__class_Oless( tc_RealDef_Oreal, Y, X ),
% 0.93/1.55 c_Orderings_Oord__class_Oless__eq( tc_RealDef_Oreal, Y, X ) }.
% 0.93/1.55 { ! Y = X, c_Orderings_Oord__class_Oless__eq( tc_RealDef_Oreal, Y, X ) }.
% 0.93/1.55 { ! c_Orderings_Oord__class_Oless( tc_RealDef_Oreal, Y, X ),
% 0.93/1.55 c_Orderings_Oord__class_Oless__eq( tc_RealDef_Oreal, Y, X ) }.
% 0.93/1.55 { ! c_Orderings_Oord__class_Oless( tc_RealDef_Oreal, Y, X ), ! Y = X }.
% 0.93/1.55 { ! c_Orderings_Oord__class_Oless__eq( tc_RealDef_Oreal, Y, X ), Y = X,
% 0.93/1.55 c_Orderings_Oord__class_Oless( tc_RealDef_Oreal, Y, X ) }.
% 0.93/1.55 { c_Set_OPow( X, c_Orderings_Otop__class_Otop( tc_fun( X, tc_HOL_Obool ) )
% 0.93/1.55 ) = c_Orderings_Otop__class_Otop( tc_fun( tc_fun( X, tc_HOL_Obool ),
% 0.93/1.55 tc_HOL_Obool ) ) }.
% 0.93/1.55 { ! class_Orderings_Oord( X ), c_member( X, skol17( X, T, Z ), Z ),
% 0.93/1.55 c_Lubs_Osetle( X, Z, Y ) }.
% 0.93/1.55 { ! class_Orderings_Oord( X ), ! c_Orderings_Oord__class_Oless__eq( X,
% 0.93/1.55 skol17( X, Y, Z ), Y ), c_Lubs_Osetle( X, Z, Y ) }.
% 0.93/1.55 { ! class_Orderings_Oord( X ), c_member( X, skol18( X, T, Z ), Z ),
% 0.93/1.55 c_Lubs_Osetge( X, Y, Z ) }.
% 0.93/1.55 { ! class_Orderings_Oord( X ), ! c_Orderings_Oord__class_Oless__eq( X, Y,
% 0.93/1.55 skol18( X, Y, Z ) ), c_Lubs_Osetge( X, Y, Z ) }.
% 0.93/1.55 { ! class_Complete__Lattice_Ocomplete__lattice( X ), ! c_member( X, Z, Y )
% 0.93/1.55 , c_Orderings_Oord__class_Oless__eq( X,
% 0.93/1.55 c_Complete__Lattice_OInf__class_OInf( X, Y ), Z ) }.
% 0.93/1.55 { c_member( tc_fun( Z, tc_HOL_Obool ), skol19( T, Y, Z ), Y ),
% 0.93/1.55 c_Orderings_Oord__class_Oless__eq( tc_fun( Z, tc_HOL_Obool ),
% 0.93/1.55 c_Complete__Lattice_OSup__class_OSup( tc_fun( Z, tc_HOL_Obool ), Y ), X )
% 0.93/1.55 }.
% 0.93/1.55 { ! c_Orderings_Oord__class_Oless__eq( tc_fun( Z, tc_HOL_Obool ), skol19( X
% 0.93/1.55 , Y, Z ), X ), c_Orderings_Oord__class_Oless__eq( tc_fun( Z, tc_HOL_Obool
% 0.93/1.55 ), c_Complete__Lattice_OSup__class_OSup( tc_fun( Z, tc_HOL_Obool ), Y )
% 0.93/1.55 , X ) }.
% 0.93/1.55 { ! c_Orderings_Oord__class_Oless__eq( tc_fun( Z, tc_HOL_Obool ), Y, X ), !
% 0.93/1.55 c_Orderings_Oord__class_Oless__eq( tc_fun( Z, tc_HOL_Obool ), X, Y ), Y
% 0.93/1.55 = X }.
% 0.93/1.55 { ! c_member( Z, Y, c_Complete__Lattice_OInf__class_OInf( tc_fun( Z,
% 0.93/1.55 tc_HOL_Obool ), X ) ), ! c_member( tc_fun( Z, tc_HOL_Obool ), T, X ),
% 0.93/1.55 c_member( Z, Y, T ) }.
% 0.93/1.55 { ! c_member( Z, Y, c_Complete__Lattice_OInf__class_OInf( tc_fun( Z,
% 0.93/1.55 tc_HOL_Obool ), X ) ), ! c_member( tc_fun( Z, tc_HOL_Obool ), T, X ),
% 0.93/1.55 c_member( Z, Y, T ) }.
% 0.93/1.55 { ! c_Orderings_Oord__class_Oless__eq( tc_fun( Z, tc_HOL_Obool ), Y, X ),
% 0.93/1.55 c_member( tc_fun( Z, tc_HOL_Obool ), Y, c_Set_OPow( Z, X ) ) }.
% 0.93/1.55 { c_Orderings_Oord__class_Oless__eq( tc_fun( Y, tc_HOL_Obool ), X, X ) }.
% 0.93/1.55 { ! c_Orderings_Oord__class_Oless( tc_fun( Z, tc_HOL_Obool ), Y, X ),
% 0.93/1.55 c_Orderings_Oord__class_Oless__eq( tc_fun( Z, tc_HOL_Obool ), Y, X ) }.
% 0.93/1.55 { ! c_Orderings_Oord__class_Oless( tc_fun( Z, tc_HOL_Obool ), Y, X ), ! Y =
% 0.93/1.55 X }.
% 0.93/1.55 { ! c_Orderings_Oord__class_Oless__eq( tc_fun( Z, tc_HOL_Obool ), Y, X ), Y
% 0.93/1.55 = X, c_Orderings_Oord__class_Oless( tc_fun( Z, tc_HOL_Obool ), Y, X ) }
% 0.93/1.55 .
% 0.93/1.55 { ! class_Orderings_Oord( X ), ! c_Orderings_Oord__class_Oless( tc_fun( T,
% 0.93/1.55 X ), Z, Y ), c_Orderings_Oord__class_Oless__eq( tc_fun( T, X ), Z, Y ) }
% 0.93/1.55 .
% 0.93/1.55 { ! class_Orderings_Oord( X ), ! c_Orderings_Oord__class_Oless( tc_fun( T,
% 0.93/1.55 X ), Z, Y ), ! c_Orderings_Oord__class_Oless__eq( tc_fun( T, X ), Y, Z )
% 0.93/1.55 }.
% 0.93/1.55 { ! class_Orderings_Oord( X ), ! c_Orderings_Oord__class_Oless__eq( tc_fun
% 0.93/1.55 ( T, X ), Z, Y ), c_Orderings_Oord__class_Oless__eq( tc_fun( T, X ), Y, Z
% 0.93/1.55 ), c_Orderings_Oord__class_Oless( tc_fun( T, X ), Z, Y ) }.
% 0.93/1.55 { ! Z = Y, c_Orderings_Oord__class_Oless__eq( tc_fun( X, tc_HOL_Obool ), Z
% 0.93/1.55 , Y ) }.
% 0.93/1.55 { ! Z = Y, c_Orderings_Oord__class_Oless__eq( tc_fun( X, tc_HOL_Obool ), Y
% 0.93/1.55 , Z ) }.
% 0.93/1.55 { ! c_Orderings_Oord__class_Oless__eq( tc_fun( X, tc_HOL_Obool ), Z, Y ), !
% 0.93/1.55 c_Orderings_Oord__class_Oless__eq( tc_fun( X, tc_HOL_Obool ), Y, Z ), Z
% 0.93/1.55 = Y }.
% 0.93/1.55 { ! c_Orderings_Oord__class_Oless__eq( tc_fun( Z, tc_HOL_Obool ), Y, X ),
% 0.93/1.55 c_Orderings_Oord__class_Oless( tc_fun( Z, tc_HOL_Obool ), Y, X ), Y = X }
% 0.93/1.55 .
% 0.93/1.55 { ! c_Orderings_Oord__class_Oless( tc_fun( Z, tc_HOL_Obool ), Y, X ),
% 0.93/1.55 c_Orderings_Oord__class_Oless__eq( tc_fun( Z, tc_HOL_Obool ), Y, X ) }.
% 0.93/1.55 { ! Y = X, c_Orderings_Oord__class_Oless__eq( tc_fun( Z, tc_HOL_Obool ), Y
% 0.93/1.55 , X ) }.
% 0.93/1.55 { ! hBOOL( hAPP( Y, X ) ), ! c_Orderings_Oord__class_Oless__eq( tc_fun( T,
% 0.93/1.55 tc_HOL_Obool ), Y, Z ), hBOOL( hAPP( Z, X ) ) }.
% 0.93/1.55 { ! Y = X, c_Orderings_Oord__class_Oless__eq( tc_fun( Z, tc_HOL_Obool ), Y
% 0.93/1.55 , X ) }.
% 0.93/1.55 { ! Y = X, c_Orderings_Oord__class_Oless__eq( tc_fun( Z, tc_HOL_Obool ), X
% 0.93/1.55 , Y ) }.
% 0.93/1.55 { ! c_Orderings_Oord__class_Oless( tc_fun( Z, tc_HOL_Obool ), Y, X ),
% 0.93/1.55 c_Orderings_Oord__class_Oless__eq( tc_fun( Z, tc_HOL_Obool ), Y, X ) }.
% 0.93/1.55 { ! c_Orderings_Oord__class_Oless__eq( tc_fun( Z, tc_HOL_Obool ), Y, X ),
% 0.93/1.55 c_Orderings_Oord__class_Oless__eq( tc_fun( tc_fun( Z, tc_HOL_Obool ),
% 0.93/1.55 tc_HOL_Obool ), c_Set_OPow( Z, Y ), c_Set_OPow( Z, X ) ) }.
% 0.93/1.55 { ! c_Orderings_Oord__class_Oless__eq( tc_fun( tc_fun( Z, tc_HOL_Obool ),
% 0.93/1.55 tc_HOL_Obool ), Y, X ), c_Orderings_Oord__class_Oless__eq( tc_fun( Z,
% 0.93/1.55 tc_HOL_Obool ), c_Complete__Lattice_OInf__class_OInf( tc_fun( Z,
% 0.93/1.55 tc_HOL_Obool ), X ), c_Complete__Lattice_OInf__class_OInf( tc_fun( Z,
% 0.93/1.55 tc_HOL_Obool ), Y ) ) }.
% 0.93/1.55 { ! c_Orderings_Oord__class_Oless__eq( tc_fun( Z, tc_HOL_Obool ), Y, X ), !
% 0.93/1.55 hBOOL( hAPP( Y, T ) ), hBOOL( hAPP( X, T ) ) }.
% 0.93/1.55 { ! c_Orderings_Oord__class_Oless( tc_fun( Z, tc_HOL_Obool ), Y, X ), !
% 0.93/1.55 c_Orderings_Oord__class_Oless( tc_fun( Z, tc_HOL_Obool ), X, T ),
% 0.93/1.55 c_Orderings_Oord__class_Oless( tc_fun( Z, tc_HOL_Obool ), Y, T ) }.
% 0.93/1.55 { ! c_Orderings_Oord__class_Oless( tc_fun( Z, tc_HOL_Obool ), Y, X ), !
% 0.93/1.55 c_Orderings_Oord__class_Oless__eq( tc_fun( Z, tc_HOL_Obool ), X, T ),
% 0.93/1.55 c_Orderings_Oord__class_Oless( tc_fun( Z, tc_HOL_Obool ), Y, T ) }.
% 0.93/1.55 { ! c_Orderings_Oord__class_Oless__eq( tc_fun( Z, tc_HOL_Obool ), Y, X ), !
% 0.93/1.55 c_Orderings_Oord__class_Oless( tc_fun( Z, tc_HOL_Obool ), X, T ),
% 0.93/1.55 c_Orderings_Oord__class_Oless( tc_fun( Z, tc_HOL_Obool ), Y, T ) }.
% 0.93/1.55 { ! c_Orderings_Oord__class_Oless__eq( tc_fun( Z, tc_HOL_Obool ), Y, X ), !
% 0.93/1.55 c_Orderings_Oord__class_Oless__eq( tc_fun( Z, tc_HOL_Obool ), X, T ),
% 0.93/1.55 c_Orderings_Oord__class_Oless__eq( tc_fun( Z, tc_HOL_Obool ), Y, T ) }.
% 0.93/1.55 { ! Y = X, c_Orderings_Oord__class_Oless__eq( tc_fun( Z, tc_HOL_Obool ), Y
% 0.93/1.55 , X ) }.
% 0.93/1.55 { ! Y = X, c_Orderings_Oord__class_Oless__eq( tc_fun( Z, tc_HOL_Obool ), X
% 0.93/1.55 , Y ) }.
% 0.93/1.55 { ! c_Orderings_Oord__class_Oless__eq( tc_RealDef_Oreal, Y, X ), !
% 0.93/1.55 c_Orderings_Oord__class_Oless__eq( tc_RealDef_Oreal, X, Y ), Y = X }.
% 0.93/1.55 { ! c_Orderings_Oord__class_Oless__eq( tc_RealDef_Oreal, Y, X ), !
% 0.93/1.55 c_Orderings_Oord__class_Oless__eq( tc_RealDef_Oreal, X, Z ),
% 0.93/1.55 c_Orderings_Oord__class_Oless__eq( tc_RealDef_Oreal, Y, Z ) }.
% 0.93/1.55 { c_Orderings_Oord__class_Oless__eq( tc_RealDef_Oreal, Y, X ),
% 0.93/1.55 c_Orderings_Oord__class_Oless__eq( tc_RealDef_Oreal, X, Y ) }.
% 0.93/1.55 { c_Orderings_Oord__class_Oless__eq( tc_RealDef_Oreal, X, X ) }.
% 0.93/1.55 { ! c_member( tc_fun( Z, tc_HOL_Obool ), Y, X ),
% 0.93/1.55 c_Orderings_Oord__class_Oless__eq( tc_fun( Z, tc_HOL_Obool ),
% 0.93/1.55 c_Complete__Lattice_OInf__class_OInf( tc_fun( Z, tc_HOL_Obool ), X ), Y )
% 0.93/1.55 }.
% 0.93/1.55 { ! c_member( tc_fun( Z, tc_HOL_Obool ), Y, c_Set_OPow( Z, X ) ),
% 0.93/1.55 c_Orderings_Oord__class_Oless__eq( tc_fun( Z, tc_HOL_Obool ), Y, X ) }.
% 0.93/1.55 { ! c_member( tc_fun( Z, tc_HOL_Obool ), Y, c_Set_OPow( Z, X ) ),
% 0.93/1.55 c_Orderings_Oord__class_Oless__eq( tc_fun( Z, tc_HOL_Obool ), Y, X ) }.
% 0.93/1.55 { ! c_Orderings_Oord__class_Oless__eq( tc_fun( Z, tc_HOL_Obool ), Y, X ),
% 0.93/1.55 c_member( tc_fun( Z, tc_HOL_Obool ), Y, c_Set_OPow( Z, X ) ) }.
% 0.93/1.55 { c_member( tc_fun( Y, tc_HOL_Obool ), X, c_Set_OPow( Y, X ) ) }.
% 0.93/1.55 { c_Complete__Lattice_OSup__class_OSup( tc_fun( Y, tc_HOL_Obool ),
% 0.93/1.55 c_Set_OPow( Y, X ) ) = X }.
% 0.93/1.55 { c_Orderings_Oord__class_Oless__eq( tc_fun( tc_fun( Y, tc_HOL_Obool ),
% 0.93/1.55 tc_HOL_Obool ), X, c_Set_OPow( Y, c_Complete__Lattice_OSup__class_OSup(
% 0.93/1.55 tc_fun( Y, tc_HOL_Obool ), X ) ) ) }.
% 0.93/1.55 { ! class_Complete__Lattice_Ocomplete__lattice( X ), !
% 0.93/1.55 c_Orderings_Oord__class_Oless__eq( X, Z,
% 0.93/1.55 c_Complete__Lattice_OInf__class_OInf( X, Y ) ), ! c_member( X, T, Y ),
% 0.93/1.55 c_Orderings_Oord__class_Oless__eq( X, Z, T ) }.
% 0.93/1.55 { ! class_Complete__Lattice_Ocomplete__lattice( X ), c_member( X, skol20( X
% 0.93/1.55 , Y, T ), Y ), c_Orderings_Oord__class_Oless__eq( X, Z,
% 0.93/1.55 c_Complete__Lattice_OInf__class_OInf( X, Y ) ) }.
% 0.93/1.55 { ! class_Complete__Lattice_Ocomplete__lattice( X ), !
% 0.93/1.55 c_Orderings_Oord__class_Oless__eq( X, Z, skol20( X, Y, Z ) ),
% 0.93/1.55 c_Orderings_Oord__class_Oless__eq( X, Z,
% 0.93/1.55 c_Complete__Lattice_OInf__class_OInf( X, Y ) ) }.
% 0.93/1.55 { ! class_Complete__Lattice_Ocomplete__lattice( X ), !
% 0.93/1.55 class_Orderings_Olinorder( X ), ! c_Orderings_Oord__class_Oless( X,
% 0.93/1.55 c_Complete__Lattice_OInf__class_OInf( X, Z ), Y ), c_member( X, skol21( X
% 0.93/1.55 , T, Z ), Z ) }.
% 0.93/1.55 { ! class_Complete__Lattice_Ocomplete__lattice( X ), !
% 0.93/1.55 class_Orderings_Olinorder( X ), ! c_Orderings_Oord__class_Oless( X,
% 0.93/1.55 c_Complete__Lattice_OInf__class_OInf( X, Z ), Y ),
% 0.93/1.55 c_Orderings_Oord__class_Oless( X, skol21( X, Y, Z ), Y ) }.
% 0.93/1.55 { ! class_Complete__Lattice_Ocomplete__lattice( X ), !
% 0.93/1.55 class_Orderings_Olinorder( X ), ! c_member( X, T, Z ), !
% 0.93/1.55 c_Orderings_Oord__class_Oless( X, T, Y ), c_Orderings_Oord__class_Oless(
% 0.93/1.55 X, c_Complete__Lattice_OInf__class_OInf( X, Z ), Y ) }.
% 0.93/1.55 { ! c_Orderings_Oord__class_Oless__eq( tc_fun( Z, tc_HOL_Obool ), Y, X ),
% 0.93/1.55 c_Orderings_Oord__class_Oless__eq( tc_fun( tc_fun( Z, tc_HOL_Obool ),
% 0.93/1.55 tc_HOL_Obool ), c_Predicate_OPowp( Z, Y ), c_Predicate_OPowp( Z, X ) ) }
% 0.93/1.55 .
% 0.93/1.55 { ! class_Complete__Lattice_Ocomplete__lattice( X ), c_member( X, skol22( X
% 0.93/1.55 , T, Z ), Z ), c_Orderings_Oord__class_Oless__eq( X, Y,
% 0.93/1.55 c_Complete__Lattice_OInf__class_OInf( X, Z ) ) }.
% 0.93/1.55 { ! class_Complete__Lattice_Ocomplete__lattice( X ), !
% 0.93/1.55 c_Orderings_Oord__class_Oless__eq( X, Y, skol22( X, Y, Z ) ),
% 0.93/1.55 c_Orderings_Oord__class_Oless__eq( X, Y,
% 0.93/1.55 c_Complete__Lattice_OInf__class_OInf( X, Z ) ) }.
% 0.93/1.55 { ! class_Orderings_Oorder( X ), ! c_SEQ_Odecseq( X, Y ), !
% 0.93/1.55 c_Orderings_Oord__class_Oless__eq( tc_Nat_Onat, Z, T ),
% 0.93/1.55 c_Orderings_Oord__class_Oless__eq( X, hAPP( Y, T ), hAPP( Y, Z ) ) }.
% 0.93/1.55 { ! class_Orderings_Oorder( X ), c_Orderings_Oord__class_Oless__eq(
% 0.93/1.55 tc_Nat_Onat, skol23( X, Y ), skol65( X, Y ) ), c_SEQ_Odecseq( X, Y ) }.
% 0.93/1.55 { ! class_Orderings_Oorder( X ), ! c_Orderings_Oord__class_Oless__eq( X,
% 0.93/1.55 hAPP( Y, skol65( X, Y ) ), hAPP( Y, skol23( X, Y ) ) ), c_SEQ_Odecseq( X
% 0.93/1.55 , Y ) }.
% 0.93/1.55 { c_member( tc_fun( Z, tc_HOL_Obool ), skol24( T, Y, Z ), Y ), c_member( Z
% 0.93/1.55 , X, c_Complete__Lattice_OInf__class_OInf( tc_fun( Z, tc_HOL_Obool ), Y )
% 0.93/1.55 ) }.
% 0.93/1.55 { ! c_member( Z, X, skol24( X, Y, Z ) ), c_member( Z, X,
% 0.93/1.55 c_Complete__Lattice_OInf__class_OInf( tc_fun( Z, tc_HOL_Obool ), Y ) ) }
% 0.93/1.55 .
% 0.93/1.55 { c_member( Z, skol25( T, Y, Z ), Y ), c_Orderings_Oord__class_Oless__eq(
% 0.93/1.55 tc_fun( Z, tc_HOL_Obool ), Y, X ) }.
% 0.93/1.55 { ! c_member( Z, skol25( X, Y, Z ), X ), c_Orderings_Oord__class_Oless__eq
% 0.93/1.55 ( tc_fun( Z, tc_HOL_Obool ), Y, X ) }.
% 0.93/1.55 { ! class_Complete__Lattice_Ocomplete__lattice( X ),
% 0.93/1.55 c_Complete__Lattice_OInf__class_OInf( X, c_Orderings_Otop__class_Otop(
% 0.93/1.55 tc_fun( X, tc_HOL_Obool ) ) ) = c_Orderings_Obot__class_Obot( X ) }.
% 0.93/1.55 { ! class_Orderings_Oorder( X ), ! c_SEQ_Oincseq( X, Y ), !
% 0.93/1.55 c_Orderings_Oord__class_Oless__eq( tc_Nat_Onat, Z, T ),
% 0.93/1.55 c_Orderings_Oord__class_Oless__eq( X, hAPP( Y, Z ), hAPP( Y, T ) ) }.
% 0.93/1.55 { ! class_Orderings_Oorder( X ), c_Orderings_Oord__class_Oless__eq(
% 0.93/1.55 tc_Nat_Onat, skol26( X, Y ), skol66( X, Y ) ), c_SEQ_Oincseq( X, Y ) }.
% 0.93/1.55 { ! class_Orderings_Oorder( X ), ! c_Orderings_Oord__class_Oless__eq( X,
% 0.93/1.55 hAPP( Y, skol26( X, Y ) ), hAPP( Y, skol66( X, Y ) ) ), c_SEQ_Oincseq( X
% 0.93/1.55 , Y ) }.
% 0.93/1.55 { ! class_Complete__Lattice_Ocomplete__lattice( X ), !
% 0.93/1.55 c_Orderings_Oord__class_Oless__eq( tc_fun( T, tc_HOL_Obool ), Z, Y ),
% 0.93/1.55 c_Orderings_Oord__class_Oless__eq( X,
% 0.93/1.55 c_Complete__Lattice_Ocomplete__lattice__class_OSUPR( T, X, Z, U ),
% 0.93/1.55 c_Complete__Lattice_Ocomplete__lattice__class_OSUPR( T, X, Y, U ) ) }.
% 0.93/1.55 { ! class_Complete__Lattice_Ocomplete__lattice( X ), !
% 0.93/1.55 c_Orderings_Oord__class_Oless__eq( tc_fun( T, tc_HOL_Obool ), Z, Y ),
% 0.93/1.55 c_Orderings_Oord__class_Oless__eq( X,
% 0.93/1.55 c_Complete__Lattice_Ocomplete__lattice__class_OINFI( T, X, Y, U ),
% 0.93/1.55 c_Complete__Lattice_Ocomplete__lattice__class_OINFI( T, X, Z, U ) ) }.
% 0.93/1.55 { ! c_member( Y, X, c_Orderings_Obot__class_Obot( tc_fun( Y, tc_HOL_Obool )
% 0.93/1.55 ) ) }.
% 0.93/1.55 { c_Orderings_Oord__class_Oless__eq( tc_fun( Y, tc_HOL_Obool ),
% 0.93/1.55 c_Orderings_Obot__class_Obot( tc_fun( Y, tc_HOL_Obool ) ), X ) }.
% 0.93/1.55 { c_Complete__Lattice_OSup__class_OSup( tc_fun( X, tc_HOL_Obool ),
% 0.93/1.55 c_Orderings_Obot__class_Obot( tc_fun( tc_fun( X, tc_HOL_Obool ),
% 0.93/1.55 tc_HOL_Obool ) ) ) = c_Orderings_Obot__class_Obot( tc_fun( X,
% 0.93/1.55 tc_HOL_Obool ) ) }.
% 0.93/1.55 { ! class_Orderings_Obot( X ), hAPP( c_Orderings_Obot__class_Obot( tc_fun(
% 0.93/1.55 Z, X ) ), Y ) = c_Orderings_Obot__class_Obot( X ) }.
% 0.93/1.55 { ! class_Complete__Lattice_Ocomplete__lattice( X ),
% 0.93/1.55 c_Complete__Lattice_OSup__class_OSup( X, c_Orderings_Obot__class_Obot(
% 0.93/1.55 tc_fun( X, tc_HOL_Obool ) ) ) = c_Orderings_Obot__class_Obot( X ) }.
% 0.93/1.55 { ! Y = c_Orderings_Obot__class_Obot( tc_fun( X, tc_HOL_Obool ) ), !
% 0.93/1.55 c_member( X, Z, Y ) }.
% 0.93/1.55 { ! c_member( Y, X, c_Orderings_Obot__class_Obot( tc_fun( Y, tc_HOL_Obool )
% 0.93/1.55 ) ) }.
% 0.93/1.55 { ! c_member( Y, Z, X ), ! X = c_Orderings_Obot__class_Obot( tc_fun( Y,
% 0.93/1.55 tc_HOL_Obool ) ) }.
% 0.93/1.55 { X = c_Orderings_Obot__class_Obot( tc_fun( Y, tc_HOL_Obool ) ), c_member(
% 0.93/1.55 Y, skol27( X, Y ), X ) }.
% 0.93/1.55 { c_member( Y, skol28( X, Y ), X ), X = c_Orderings_Obot__class_Obot(
% 0.93/1.55 tc_fun( Y, tc_HOL_Obool ) ) }.
% 0.93/1.55 { ! X = c_Orderings_Obot__class_Obot( tc_fun( Y, tc_HOL_Obool ) ), !
% 0.93/1.55 c_member( Y, Z, X ) }.
% 0.93/1.55 { ! c_Orderings_Obot__class_Obot( tc_fun( Y, tc_HOL_Obool ) ) =
% 0.93/1.55 c_Set_OCollect( Y, X ), ! hBOOL( hAPP( X, Z ) ) }.
% 0.93/1.55 { hBOOL( hAPP( X, skol29( X ) ) ), c_Orderings_Obot__class_Obot( tc_fun( Y
% 0.93/1.55 , tc_HOL_Obool ) ) = c_Set_OCollect( Y, X ) }.
% 0.93/1.55 { ! c_Set_OCollect( Y, X ) = c_Orderings_Obot__class_Obot( tc_fun( Y,
% 0.93/1.55 tc_HOL_Obool ) ), ! hBOOL( hAPP( X, Z ) ) }.
% 0.93/1.55 { hBOOL( hAPP( X, skol30( X ) ) ), c_Set_OCollect( Y, X ) =
% 0.93/1.55 c_Orderings_Obot__class_Obot( tc_fun( Y, tc_HOL_Obool ) ) }.
% 0.93/1.55 { ! c_Orderings_Otop__class_Otop( tc_fun( X, tc_HOL_Obool ) ) =
% 0.93/1.55 c_Orderings_Obot__class_Obot( tc_fun( X, tc_HOL_Obool ) ) }.
% 0.93/1.55 { ! c_Orderings_Oord__class_Oless__eq( tc_fun( Y, tc_HOL_Obool ), X,
% 0.93/1.55 c_Orderings_Obot__class_Obot( tc_fun( Y, tc_HOL_Obool ) ) ), X =
% 0.93/1.55 c_Orderings_Obot__class_Obot( tc_fun( Y, tc_HOL_Obool ) ) }.
% 0.93/1.55 { ! X = c_Orderings_Obot__class_Obot( tc_fun( Y, tc_HOL_Obool ) ),
% 0.93/1.55 c_Orderings_Oord__class_Oless__eq( tc_fun( Y, tc_HOL_Obool ), X,
% 0.93/1.55 c_Orderings_Obot__class_Obot( tc_fun( Y, tc_HOL_Obool ) ) ) }.
% 0.93/1.55 { c_Complete__Lattice_OInf__class_OInf( tc_fun( X, tc_HOL_Obool ),
% 0.93/1.55 c_Orderings_Obot__class_Obot( tc_fun( tc_fun( X, tc_HOL_Obool ),
% 0.93/1.55 tc_HOL_Obool ) ) ) = c_Orderings_Otop__class_Otop( tc_fun( X,
% 0.93/1.55 tc_HOL_Obool ) ) }.
% 0.93/1.55 { ! c_Set_OPow( Y, X ) = c_Orderings_Obot__class_Obot( tc_fun( tc_fun( Y,
% 0.93/1.55 tc_HOL_Obool ), tc_HOL_Obool ) ) }.
% 0.93/1.55 { ! c_Orderings_Oord__class_Oless( tc_fun( Y, tc_HOL_Obool ), X,
% 0.93/1.55 c_Orderings_Obot__class_Obot( tc_fun( Y, tc_HOL_Obool ) ) ) }.
% 0.93/1.55 { ! class_Orderings_Obot( X ), c_Orderings_Oord__class_Oless__eq( X,
% 0.93/1.55 c_Orderings_Obot__class_Obot( X ), Y ) }.
% 0.93/1.55 { c_Complete__Lattice_OInf__class_OInf( tc_fun( X, tc_HOL_Obool ),
% 0.93/1.55 c_Orderings_Otop__class_Otop( tc_fun( tc_fun( X, tc_HOL_Obool ),
% 0.93/1.55 tc_HOL_Obool ) ) ) = c_Orderings_Obot__class_Obot( tc_fun( X,
% 0.93/1.55 tc_HOL_Obool ) ) }.
% 0.93/1.55 { ! class_Complete__Lattice_Ocomplete__lattice( X ),
% 0.93/1.55 c_Complete__Lattice_OInf__class_OInf( X, c_Orderings_Obot__class_Obot(
% 0.93/1.55 tc_fun( X, tc_HOL_Obool ) ) ) = c_Orderings_Otop__class_Otop( X ) }.
% 0.93/1.55 { c_member( tc_fun( Y, tc_HOL_Obool ), c_Orderings_Obot__class_Obot( tc_fun
% 0.93/1.55 ( Y, tc_HOL_Obool ) ), c_Set_OPow( Y, X ) ) }.
% 0.93/1.55 { c_member( tc_fun( Z, tc_HOL_Obool ), skol31( T, Y, Z ), Y ), Y =
% 0.93/1.55 c_Orderings_Obot__class_Obot( tc_fun( tc_fun( Z, tc_HOL_Obool ),
% 0.93/1.55 tc_HOL_Obool ) ), c_Orderings_Oord__class_Oless__eq( tc_fun( Z,
% 0.93/1.55 tc_HOL_Obool ), c_Complete__Lattice_OInf__class_OInf( tc_fun( Z,
% 0.93/1.55 tc_HOL_Obool ), Y ), X ) }.
% 0.93/1.55 { ! c_Orderings_Oord__class_Oless__eq( tc_fun( Z, tc_HOL_Obool ), skol31( X
% 0.93/1.55 , Y, Z ), X ), Y = c_Orderings_Obot__class_Obot( tc_fun( tc_fun( Z,
% 0.93/1.55 tc_HOL_Obool ), tc_HOL_Obool ) ), c_Orderings_Oord__class_Oless__eq(
% 0.93/1.55 tc_fun( Z, tc_HOL_Obool ), c_Complete__Lattice_OInf__class_OInf( tc_fun(
% 0.93/1.55 Z, tc_HOL_Obool ), Y ), X ) }.
% 0.93/1.55 { c_member( tc_fun( Z, tc_HOL_Obool ), skol32( T, Y, Z ), Y ),
% 0.93/1.55 c_Orderings_Oord__class_Oless__eq( tc_fun( Z, tc_HOL_Obool ), X,
% 0.93/1.55 c_Complete__Lattice_OInf__class_OInf( tc_fun( Z, tc_HOL_Obool ), Y ) ) }
% 0.93/1.55 .
% 0.93/1.55 { ! c_Orderings_Oord__class_Oless__eq( tc_fun( Z, tc_HOL_Obool ), X, skol32
% 0.93/1.55 ( X, Y, Z ) ), c_Orderings_Oord__class_Oless__eq( tc_fun( Z, tc_HOL_Obool
% 0.93/1.55 ), X, c_Complete__Lattice_OInf__class_OInf( tc_fun( Z, tc_HOL_Obool ), Y
% 0.93/1.55 ) ) }.
% 0.93/1.55 { ! class_Orderings_Oorder( X ), ! c_SEQ_Omonoseq( X, Y ), alpha1( X, Y ),
% 0.93/1.55 alpha16( X, Y ) }.
% 0.93/1.55 { ! class_Orderings_Oorder( X ), ! alpha1( X, Y ), c_SEQ_Omonoseq( X, Y ) }
% 0.93/1.55 .
% 0.93/1.55 { ! class_Orderings_Oorder( X ), ! alpha16( X, Y ), c_SEQ_Omonoseq( X, Y )
% 0.93/1.55 }.
% 0.93/1.55 { ! alpha16( X, Y ), ! c_Orderings_Oord__class_Oless__eq( tc_Nat_Onat, Z, T
% 0.93/1.55 ), c_Orderings_Oord__class_Oless__eq( X, hAPP( Y, T ), hAPP( Y, Z ) ) }
% 0.93/1.55 .
% 0.93/1.55 { c_Orderings_Oord__class_Oless__eq( tc_Nat_Onat, skol33( X, Y ), skol67( X
% 0.93/1.55 , Y ) ), alpha16( X, Y ) }.
% 0.93/1.55 { ! c_Orderings_Oord__class_Oless__eq( X, hAPP( Y, skol67( X, Y ) ), hAPP(
% 0.93/1.55 Y, skol33( X, Y ) ) ), alpha16( X, Y ) }.
% 0.93/1.55 { ! alpha1( X, Y ), ! c_Orderings_Oord__class_Oless__eq( tc_Nat_Onat, Z, T
% 0.93/1.55 ), c_Orderings_Oord__class_Oless__eq( X, hAPP( Y, Z ), hAPP( Y, T ) ) }
% 0.93/1.55 .
% 0.93/1.55 { c_Orderings_Oord__class_Oless__eq( tc_Nat_Onat, skol34( X, Y ), skol68( X
% 0.93/1.55 , Y ) ), alpha1( X, Y ) }.
% 0.93/1.55 { ! c_Orderings_Oord__class_Oless__eq( X, hAPP( Y, skol34( X, Y ) ), hAPP(
% 0.93/1.55 Y, skol68( X, Y ) ) ), alpha1( X, Y ) }.
% 0.93/1.55 { ! c_Orderings_Oord__class_Oless( tc_Nat_Onat, Y, X ),
% 0.93/1.55 c_Orderings_Oord__class_Oless__eq( tc_Nat_Onat, Y, X ) }.
% 0.93/1.55 { ! c_Orderings_Oord__class_Oless( tc_Nat_Onat, Y, X ), ! Y = X }.
% 0.93/1.55 { ! c_Orderings_Oord__class_Oless__eq( tc_Nat_Onat, Y, X ), Y = X,
% 0.93/1.55 c_Orderings_Oord__class_Oless( tc_Nat_Onat, Y, X ) }.
% 0.93/1.55 { ! c_Orderings_Oord__class_Oless__eq( tc_Nat_Onat, Y, X ),
% 0.93/1.55 c_Orderings_Oord__class_Oless( tc_Nat_Onat, Y, X ), Y = X }.
% 0.93/1.55 { ! c_Orderings_Oord__class_Oless( tc_Nat_Onat, Y, X ),
% 0.93/1.55 c_Orderings_Oord__class_Oless__eq( tc_Nat_Onat, Y, X ) }.
% 0.93/1.55 { ! Y = X, c_Orderings_Oord__class_Oless__eq( tc_Nat_Onat, Y, X ) }.
% 0.93/1.55 { ! c_Orderings_Oord__class_Oless( tc_Nat_Onat, Y, X ),
% 0.93/1.55 c_Orderings_Oord__class_Oless__eq( tc_Nat_Onat, Y, X ) }.
% 0.93/1.55 { ! c_Orderings_Oord__class_Oless( tc_Nat_Onat, Y, X ),
% 0.93/1.55 c_Orderings_Oord__class_Oless__eq( tc_Nat_Onat, Y, X ) }.
% 0.93/1.55 { ! c_Orderings_Oord__class_Oless__eq( tc_Nat_Onat, Y, X ), Y = X,
% 0.93/1.55 c_Orderings_Oord__class_Oless( tc_Nat_Onat, Y, X ) }.
% 0.93/1.55 { ! c_Orderings_Oord__class_Oless( tc_Nat_Onat, X, X ) }.
% 0.93/1.55 { Y = X, c_Orderings_Oord__class_Oless( tc_Nat_Onat, Y, X ),
% 0.93/1.55 c_Orderings_Oord__class_Oless( tc_Nat_Onat, X, Y ) }.
% 0.93/1.55 { ! c_Orderings_Oord__class_Oless( tc_Nat_Onat, Y, X ), ! Y = X }.
% 0.93/1.55 { ! c_Orderings_Oord__class_Oless( tc_Nat_Onat, X, Y ), ! Y = X }.
% 0.93/1.55 { Y = X, c_Orderings_Oord__class_Oless( tc_Nat_Onat, Y, X ),
% 0.93/1.55 c_Orderings_Oord__class_Oless( tc_Nat_Onat, X, Y ) }.
% 0.93/1.55 { ! c_Orderings_Oord__class_Oless( tc_Nat_Onat, X, X ) }.
% 0.93/1.55 { ! c_Orderings_Oord__class_Oless( tc_Nat_Onat, Y, X ), ! X = Y }.
% 0.93/1.55 { ! c_Orderings_Oord__class_Oless( tc_Nat_Onat, Y, X ), ! Y = X }.
% 0.93/1.55 { alpha36( X, Y, Z ), c_Orderings_Oord__class_Oless( tc_Nat_Onat, Y, Z ),
% 0.93/1.55 hBOOL( hAPP( hAPP( X, Y ), Z ) ) }.
% 0.93/1.55 { alpha36( X, Y, Z ), ! hBOOL( hAPP( hAPP( X, Y ), Z ) ), hBOOL( hAPP( hAPP
% 0.93/1.55 ( X, Y ), Z ) ) }.
% 0.93/1.55 { ! alpha36( X, Y, Z ), alpha38( X, Y, Z ), Z = Y }.
% 0.93/1.55 { ! alpha36( X, Y, Z ), alpha38( X, Y, Z ), ! hBOOL( hAPP( hAPP( X, Y ), Z
% 0.93/1.55 ) ) }.
% 0.93/1.55 { ! alpha38( X, Y, Z ), alpha36( X, Y, Z ) }.
% 0.93/1.55 { ! Z = Y, hBOOL( hAPP( hAPP( X, Y ), Z ) ), alpha36( X, Y, Z ) }.
% 0.93/1.55 { ! alpha38( X, Y, Z ), c_Orderings_Oord__class_Oless( tc_Nat_Onat, Z, Y )
% 0.93/1.55 }.
% 0.93/1.55 { ! alpha38( X, Y, Z ), ! hBOOL( hAPP( hAPP( X, Y ), Z ) ) }.
% 0.93/1.55 { ! c_Orderings_Oord__class_Oless( tc_Nat_Onat, Z, Y ), hBOOL( hAPP( hAPP(
% 0.93/1.55 X, Y ), Z ) ), alpha38( X, Y, Z ) }.
% 0.93/1.55 { ! class_Orderings_Oorder( X ), ! c_SEQ_Oincseq( X, Y ), c_SEQ_Omonoseq( X
% 0.93/1.55 , Y ) }.
% 0.93/1.55 { ! class_Orderings_Oorder( X ), ! c_SEQ_Odecseq( X, Y ), c_SEQ_Omonoseq( X
% 0.93/1.55 , Y ) }.
% 0.93/1.55 { c_Orderings_Oord__class_Oless__eq( tc_Nat_Onat, X, X ) }.
% 0.93/1.55 { c_Orderings_Oord__class_Oless__eq( tc_Nat_Onat, Y, X ),
% 0.93/1.55 c_Orderings_Oord__class_Oless__eq( tc_Nat_Onat, X, Y ) }.
% 0.93/1.55 { ! Y = X, c_Orderings_Oord__class_Oless__eq( tc_Nat_Onat, Y, X ) }.
% 0.93/1.55 { ! c_Orderings_Oord__class_Oless__eq( tc_Nat_Onat, Y, X ), !
% 0.93/1.55 c_Orderings_Oord__class_Oless__eq( tc_Nat_Onat, X, Z ),
% 0.93/1.55 c_Orderings_Oord__class_Oless__eq( tc_Nat_Onat, Y, Z ) }.
% 0.93/1.55 { ! c_Orderings_Oord__class_Oless__eq( tc_Nat_Onat, Y, X ), !
% 0.93/1.55 c_Orderings_Oord__class_Oless__eq( tc_Nat_Onat, X, Y ), Y = X }.
% 0.93/1.55 { ! c_Orderings_Oord__class_Oless( tc_Nat_Onat, Y, X ),
% 0.93/1.55 c_Orderings_Oord__class_Oless__eq( tc_Nat_Onat, Y, X ) }.
% 0.93/1.55 { ! Y = X, c_Orderings_Oord__class_Oless__eq( tc_Nat_Onat, Y, X ) }.
% 0.93/1.55 { ! class_Orderings_Oorder( X ), c_Orderings_Oord__class_Oless__eq(
% 0.93/1.55 tc_Nat_Onat, skol35( X, Y ), skol69( X, Y ) ), c_SEQ_Omonoseq( X, Y ) }.
% 0.93/1.55 { ! class_Orderings_Oorder( X ), ! c_Orderings_Oord__class_Oless__eq( X,
% 0.93/1.55 hAPP( Y, skol35( X, Y ) ), hAPP( Y, skol69( X, Y ) ) ), c_SEQ_Omonoseq( X
% 0.93/1.55 , Y ) }.
% 0.93/1.55 { ! class_Orderings_Oorder( X ), c_Orderings_Oord__class_Oless__eq(
% 0.93/1.55 tc_Nat_Onat, skol36( X, Y ), skol70( X, Y ) ), c_SEQ_Omonoseq( X, Y ) }.
% 0.93/1.55 { ! class_Orderings_Oorder( X ), ! c_Orderings_Oord__class_Oless__eq( X,
% 0.93/1.55 hAPP( Y, skol70( X, Y ) ), hAPP( Y, skol36( X, Y ) ) ), c_SEQ_Omonoseq( X
% 0.93/1.55 , Y ) }.
% 0.93/1.55 { c_Set_OPow( X, c_Orderings_Obot__class_Obot( tc_fun( X, tc_HOL_Obool ) )
% 0.93/1.55 ) = c_Set_Oinsert( tc_fun( X, tc_HOL_Obool ),
% 0.93/1.55 c_Orderings_Obot__class_Obot( tc_fun( X, tc_HOL_Obool ) ),
% 0.93/1.55 c_Orderings_Obot__class_Obot( tc_fun( tc_fun( X, tc_HOL_Obool ),
% 0.93/1.55 tc_HOL_Obool ) ) ) }.
% 0.93/1.55 { ! c_Orderings_Oord__class_Oless__eq( tc_RealDef_Oreal, Y, X ),
% 0.93/1.55 c_Orderings_Oord__class_Oless__eq( tc_Nat_Onat, c_RComplete_Onatceiling(
% 0.93/1.55 Y ), c_RComplete_Onatceiling( X ) ) }.
% 0.93/1.55 { hBOOL( hAPP( Y, skol37( Z, Y ) ) ), c_Orderings_Oord__class_Oless__eq(
% 0.93/1.55 tc_fun( T, tc_HOL_Obool ), c_Set_OCollect( T, Y ), c_Set_OCollect( T, X )
% 0.93/1.55 ) }.
% 0.93/1.55 { ! hBOOL( hAPP( X, skol37( X, Y ) ) ), c_Orderings_Oord__class_Oless__eq(
% 0.93/1.55 tc_fun( Z, tc_HOL_Obool ), c_Set_OCollect( Z, Y ), c_Set_OCollect( Z, X )
% 0.93/1.55 ) }.
% 0.93/1.55 { c_Orderings_Oord__class_Oless( tc_Nat_Onat, skol38( X ), skol71( X ) ), !
% 0.93/1.55 c_Orderings_Oord__class_Oless__eq( tc_Nat_Onat, Z, Y ),
% 0.93/1.55 c_Orderings_Oord__class_Oless__eq( tc_Nat_Onat, hAPP( X, Z ), hAPP( X, Y
% 0.93/1.55 ) ) }.
% 0.93/1.55 { ! c_Orderings_Oord__class_Oless( tc_Nat_Onat, hAPP( X, skol38( X ) ),
% 0.93/1.55 hAPP( X, skol71( X ) ) ), ! c_Orderings_Oord__class_Oless__eq(
% 0.93/1.55 tc_Nat_Onat, Z, Y ), c_Orderings_Oord__class_Oless__eq( tc_Nat_Onat, hAPP
% 0.93/1.55 ( X, Z ), hAPP( X, Y ) ) }.
% 0.93/1.55 { ! c_member( Y, skol39( X, Y ), X ), c_Orderings_Otop__class_Otop( tc_fun
% 0.93/1.55 ( Y, tc_HOL_Obool ) ) = X }.
% 0.93/1.55 { ! c_member( T, Z, Y ), c_member( T, Z, c_Set_Oinsert( T, X, Y ) ) }.
% 0.93/1.55 { ! Z = X, c_member( T, Z, c_Set_Oinsert( T, X, Y ) ) }.
% 0.93/1.55 { ! c_member( T, Z, c_Set_Oinsert( T, Y, X ) ), Z = Y, c_member( T, Z, X )
% 0.93/1.55 }.
% 0.93/1.55 { c_Set_Oinsert( Z, Y, c_Set_Oinsert( Z, Y, X ) ) = c_Set_Oinsert( Z, Y, X
% 0.93/1.55 ) }.
% 0.93/1.55 { c_Set_Oinsert( T, Z, c_Set_Oinsert( T, Y, X ) ) = c_Set_Oinsert( T, Y,
% 0.93/1.55 c_Set_Oinsert( T, Z, X ) ) }.
% 0.93/1.55 { ! hBOOL( hAPP( c_Set_Oinsert( T, Z, Y ), X ) ), Z = X, hBOOL( hAPP( Y, X
% 0.93/1.55 ) ) }.
% 0.93/1.55 { ! Z = X, hBOOL( hAPP( c_Set_Oinsert( T, Z, Y ), X ) ) }.
% 0.93/1.55 { ! hBOOL( hAPP( Y, X ) ), hBOOL( hAPP( c_Set_Oinsert( T, Z, Y ), X ) ) }.
% 0.93/1.55 { ! c_member( Z, Y, X ), c_Set_Oinsert( Z, Y, X ) = X }.
% 0.93/1.55 { ! c_member( Z, Y, X ), c_member( Z, Y, c_Set_Oinsert( Z, T, X ) ) }.
% 0.93/1.55 { c_member( Z, Y, X ), c_member( Z, Y, T ), ! c_Set_Oinsert( Z, Y, X ) =
% 0.93/1.55 c_Set_Oinsert( Z, Y, T ), X = T }.
% 0.93/1.55 { c_member( Z, Y, X ), c_member( Z, Y, T ), ! X = T, c_Set_Oinsert( Z, Y, X
% 0.93/1.55 ) = c_Set_Oinsert( Z, Y, T ) }.
% 0.93/1.55 { ! c_member( T, Z, c_Set_Oinsert( T, Y, X ) ), Z = Y, c_member( T, Z, X )
% 0.93/1.55 }.
% 0.93/1.55 { ! Z = Y, c_member( T, Z, c_Set_Oinsert( T, Y, X ) ) }.
% 0.93/1.55 { ! c_member( T, Z, X ), c_member( T, Z, c_Set_Oinsert( T, Y, X ) ) }.
% 0.93/1.55 { c_member( Z, Y, c_Set_Oinsert( Z, Y, X ) ) }.
% 0.93/1.55 { ! c_Set_Oinsert( Z, Y, c_Orderings_Obot__class_Obot( tc_fun( Z,
% 0.93/1.55 tc_HOL_Obool ) ) ) = c_Set_Oinsert( Z, X, c_Orderings_Obot__class_Obot(
% 0.93/1.55 tc_fun( Z, tc_HOL_Obool ) ) ), Y = X }.
% 0.93/1.55 { ! c_Set_Oinsert( U, T, c_Set_Oinsert( U, Z, c_Orderings_Obot__class_Obot
% 0.93/1.55 ( tc_fun( U, tc_HOL_Obool ) ) ) ) = c_Set_Oinsert( U, Y, c_Set_Oinsert( U
% 0.93/1.55 , X, c_Orderings_Obot__class_Obot( tc_fun( U, tc_HOL_Obool ) ) ) ),
% 0.93/1.55 alpha2( X, Y, Z, T ), alpha17( X, Y, Z, T ) }.
% 0.93/1.55 { ! alpha2( X, Y, Z, T ), c_Set_Oinsert( U, T, c_Set_Oinsert( U, Z,
% 0.93/1.55 c_Orderings_Obot__class_Obot( tc_fun( U, tc_HOL_Obool ) ) ) ) =
% 0.93/1.55 c_Set_Oinsert( U, Y, c_Set_Oinsert( U, X, c_Orderings_Obot__class_Obot(
% 0.93/1.55 tc_fun( U, tc_HOL_Obool ) ) ) ) }.
% 0.93/1.55 { ! alpha17( X, Y, Z, T ), c_Set_Oinsert( U, T, c_Set_Oinsert( U, Z,
% 0.93/1.55 c_Orderings_Obot__class_Obot( tc_fun( U, tc_HOL_Obool ) ) ) ) =
% 0.93/1.55 c_Set_Oinsert( U, Y, c_Set_Oinsert( U, X, c_Orderings_Obot__class_Obot(
% 0.93/1.55 tc_fun( U, tc_HOL_Obool ) ) ) ) }.
% 0.93/1.55 { ! alpha17( X, Y, Z, T ), T = X }.
% 0.93/1.55 { ! alpha17( X, Y, Z, T ), Z = Y }.
% 0.93/1.55 { ! T = X, ! Z = Y, alpha17( X, Y, Z, T ) }.
% 0.93/1.55 { ! alpha2( X, Y, Z, T ), T = Y }.
% 0.93/1.55 { ! alpha2( X, Y, Z, T ), Z = X }.
% 0.93/1.55 { ! T = Y, ! Z = X, alpha2( X, Y, Z, T ) }.
% 0.93/1.55 { ! c_Set_Oinsert( Z, Y, X ) = c_Orderings_Obot__class_Obot( tc_fun( Z,
% 0.93/1.55 tc_HOL_Obool ) ) }.
% 0.93/1.55 { ! c_Orderings_Obot__class_Obot( tc_fun( Z, tc_HOL_Obool ) ) =
% 0.93/1.55 c_Set_Oinsert( Z, Y, X ) }.
% 0.93/1.55 { ! c_Orderings_Oord__class_Oless__eq( tc_fun( Z, tc_HOL_Obool ), Y, X ),
% 0.93/1.55 c_Orderings_Oord__class_Oless__eq( tc_fun( Z, tc_HOL_Obool ),
% 0.93/1.55 c_Set_Oinsert( Z, T, Y ), c_Set_Oinsert( Z, T, X ) ) }.
% 0.93/1.55 { ! c_Orderings_Oord__class_Oless__eq( tc_fun( Z, tc_HOL_Obool ), Y, X ),
% 0.93/1.55 c_Orderings_Oord__class_Oless__eq( tc_fun( Z, tc_HOL_Obool ), Y,
% 0.93/1.55 c_Set_Oinsert( Z, T, X ) ) }.
% 0.93/1.55 { c_Orderings_Oord__class_Oless__eq( tc_fun( Z, tc_HOL_Obool ), Y,
% 0.93/1.55 c_Set_Oinsert( Z, X, Y ) ) }.
% 0.93/1.55 { ! c_member( Z, Y, c_Set_Oinsert( Z, X, c_Orderings_Obot__class_Obot(
% 0.93/1.55 tc_fun( Z, tc_HOL_Obool ) ) ) ), Y = X }.
% 0.93/1.55 { ! Y = X, c_member( Z, Y, c_Set_Oinsert( Z, X,
% 0.93/1.55 c_Orderings_Obot__class_Obot( tc_fun( Z, tc_HOL_Obool ) ) ) ) }.
% 0.93/1.55 { ! c_member( Z, Y, c_Set_Oinsert( Z, X, c_Orderings_Obot__class_Obot(
% 0.93/1.55 tc_fun( Z, tc_HOL_Obool ) ) ) ), Y = X }.
% 0.93/1.55 { c_member( Z, Y, X ), ! c_Orderings_Oord__class_Oless__eq( tc_fun( Z,
% 0.93/1.55 tc_HOL_Obool ), X, c_Set_Oinsert( Z, Y, T ) ),
% 0.93/1.55 c_Orderings_Oord__class_Oless__eq( tc_fun( Z, tc_HOL_Obool ), X, T ) }.
% 0.93/1.55 { c_member( Z, Y, X ), ! c_Orderings_Oord__class_Oless__eq( tc_fun( Z,
% 0.93/1.55 tc_HOL_Obool ), X, T ), c_Orderings_Oord__class_Oless__eq( tc_fun( Z,
% 0.93/1.55 tc_HOL_Obool ), X, c_Set_Oinsert( Z, Y, T ) ) }.
% 0.93/1.55 { ! c_Orderings_Oord__class_Oless__eq( tc_fun( T, tc_HOL_Obool ),
% 0.93/1.55 c_Set_Oinsert( T, Z, Y ), X ), c_member( T, Z, X ) }.
% 0.93/1.55 { ! c_Orderings_Oord__class_Oless__eq( tc_fun( T, tc_HOL_Obool ),
% 0.93/1.55 c_Set_Oinsert( T, Z, Y ), X ), c_Orderings_Oord__class_Oless__eq( tc_fun
% 0.93/1.55 ( T, tc_HOL_Obool ), Y, X ) }.
% 0.93/1.55 { ! c_member( T, Z, X ), ! c_Orderings_Oord__class_Oless__eq( tc_fun( T,
% 0.93/1.55 tc_HOL_Obool ), Y, X ), c_Orderings_Oord__class_Oless__eq( tc_fun( T,
% 0.93/1.55 tc_HOL_Obool ), c_Set_Oinsert( T, Z, Y ), X ) }.
% 0.93/1.55 { ! c_Orderings_Oord__class_Oless__eq( tc_fun( Z, tc_HOL_Obool ), Y,
% 0.93/1.55 c_Set_Oinsert( Z, X, c_Orderings_Obot__class_Obot( tc_fun( Z,
% 0.93/1.55 tc_HOL_Obool ) ) ) ), Y = c_Orderings_Obot__class_Obot( tc_fun( Z,
% 0.93/1.55 tc_HOL_Obool ) ), Y = c_Set_Oinsert( Z, X, c_Orderings_Obot__class_Obot(
% 0.93/1.55 tc_fun( Z, tc_HOL_Obool ) ) ) }.
% 0.93/1.55 { ! class_Complete__Lattice_Ocomplete__lattice( X ),
% 0.93/1.55 c_Complete__Lattice_OSup__class_OSup( X, c_Set_Oinsert( X, Y,
% 0.93/1.55 c_Orderings_Obot__class_Obot( tc_fun( X, tc_HOL_Obool ) ) ) ) = Y }.
% 0.93/1.55 { ! class_Complete__Lattice_Ocomplete__lattice( X ),
% 0.93/1.55 c_Complete__Lattice_OInf__class_OInf( X, c_Set_Oinsert( X, Y,
% 0.93/1.55 c_Orderings_Obot__class_Obot( tc_fun( X, tc_HOL_Obool ) ) ) ) = Y }.
% 0.93/1.55 { c_Set_Othe__elem( Y, c_Set_Oinsert( Y, X, c_Orderings_Obot__class_Obot(
% 0.93/1.55 tc_fun( Y, tc_HOL_Obool ) ) ) ) = X }.
% 0.93/1.55 { ! c_Orderings_Oord__class_Oless( tc_fun( T, tc_HOL_Obool ), Z,
% 0.93/1.55 c_Set_Oinsert( T, Y, X ) ), alpha3( X, Y, Z, T ) }.
% 0.93/1.55 { ! c_Orderings_Oord__class_Oless( tc_fun( T, tc_HOL_Obool ), Z,
% 0.93/1.55 c_Set_Oinsert( T, Y, X ) ), alpha18( X, Y, Z, T ) }.
% 0.93/1.55 { ! alpha3( X, Y, Z, T ), ! alpha18( X, Y, Z, T ),
% 0.93/1.55 c_Orderings_Oord__class_Oless( tc_fun( T, tc_HOL_Obool ), Z,
% 0.93/1.55 c_Set_Oinsert( T, Y, X ) ) }.
% 0.93/1.55 { ! alpha18( X, Y, Z, T ), c_member( T, Y, X ), alpha29( X, Y, Z, T ) }.
% 0.93/1.55 { ! c_member( T, Y, X ), alpha18( X, Y, Z, T ) }.
% 0.93/1.55 { ! alpha29( X, Y, Z, T ), alpha18( X, Y, Z, T ) }.
% 0.93/1.55 { ! alpha29( X, Y, Z, T ), alpha33( X, Y, Z, T ) }.
% 0.93/1.55 { ! alpha29( X, Y, Z, T ), alpha34( X, Y, Z, T ) }.
% 0.93/1.55 { ! alpha33( X, Y, Z, T ), ! alpha34( X, Y, Z, T ), alpha29( X, Y, Z, T ) }
% 0.93/1.55 .
% 0.93/1.55 { ! alpha34( X, Y, Z, T ), c_member( T, Y, Z ),
% 0.93/1.55 c_Orderings_Oord__class_Oless__eq( tc_fun( T, tc_HOL_Obool ), Z, X ) }.
% 0.93/1.55 { ! c_member( T, Y, Z ), alpha34( X, Y, Z, T ) }.
% 0.93/1.55 { ! c_Orderings_Oord__class_Oless__eq( tc_fun( T, tc_HOL_Obool ), Z, X ),
% 0.93/1.55 alpha34( X, Y, Z, T ) }.
% 0.93/1.55 { ! alpha33( X, Y, Z, T ), ! c_member( T, Y, Z ),
% 0.93/1.55 c_Orderings_Oord__class_Oless( tc_fun( T, tc_HOL_Obool ),
% 0.93/1.55 c_Groups_Ominus__class_Ominus( tc_fun( T, tc_HOL_Obool ), Z,
% 0.93/1.55 c_Set_Oinsert( T, Y, c_Orderings_Obot__class_Obot( tc_fun( T,
% 0.93/1.55 tc_HOL_Obool ) ) ) ), X ) }.
% 0.93/1.55 { c_member( T, Y, Z ), alpha33( X, Y, Z, T ) }.
% 0.93/1.55 { ! c_Orderings_Oord__class_Oless( tc_fun( T, tc_HOL_Obool ),
% 0.93/1.55 c_Groups_Ominus__class_Ominus( tc_fun( T, tc_HOL_Obool ), Z,
% 0.93/1.55 c_Set_Oinsert( T, Y, c_Orderings_Obot__class_Obot( tc_fun( T,
% 0.93/1.55 tc_HOL_Obool ) ) ) ), X ), alpha33( X, Y, Z, T ) }.
% 0.93/1.55 { ! alpha3( X, Y, Z, T ), ! c_member( T, Y, X ),
% 0.93/1.55 c_Orderings_Oord__class_Oless( tc_fun( T, tc_HOL_Obool ), Z, X ) }.
% 0.93/1.55 { c_member( T, Y, X ), alpha3( X, Y, Z, T ) }.
% 0.93/1.55 { ! c_Orderings_Oord__class_Oless( tc_fun( T, tc_HOL_Obool ), Z, X ),
% 0.93/1.55 alpha3( X, Y, Z, T ) }.
% 0.93/1.55 { ! c_Orderings_Oord__class_Oless__eq( tc_fun( T, tc_HOL_Obool ), Z,
% 0.93/1.55 c_Set_Oinsert( T, Y, X ) ), alpha4( X, Y, Z, T ) }.
% 0.93/1.55 { ! c_Orderings_Oord__class_Oless__eq( tc_fun( T, tc_HOL_Obool ), Z,
% 0.93/1.55 c_Set_Oinsert( T, Y, X ) ), alpha19( X, Y, Z, T ) }.
% 0.93/1.55 { ! alpha4( X, Y, Z, T ), ! alpha19( X, Y, Z, T ),
% 0.93/1.55 c_Orderings_Oord__class_Oless__eq( tc_fun( T, tc_HOL_Obool ), Z,
% 0.93/1.55 c_Set_Oinsert( T, Y, X ) ) }.
% 0.93/1.55 { ! alpha19( X, Y, Z, T ), c_member( T, Y, Z ),
% 0.93/1.55 c_Orderings_Oord__class_Oless__eq( tc_fun( T, tc_HOL_Obool ), Z, X ) }.
% 0.93/1.55 { ! c_member( T, Y, Z ), alpha19( X, Y, Z, T ) }.
% 0.93/1.55 { ! c_Orderings_Oord__class_Oless__eq( tc_fun( T, tc_HOL_Obool ), Z, X ),
% 0.93/1.55 alpha19( X, Y, Z, T ) }.
% 0.93/1.55 { ! alpha4( X, Y, Z, T ), ! c_member( T, Y, Z ),
% 0.93/1.55 c_Orderings_Oord__class_Oless__eq( tc_fun( T, tc_HOL_Obool ),
% 0.93/1.55 c_Groups_Ominus__class_Ominus( tc_fun( T, tc_HOL_Obool ), Z,
% 0.93/1.55 c_Set_Oinsert( T, Y, c_Orderings_Obot__class_Obot( tc_fun( T,
% 0.93/1.55 tc_HOL_Obool ) ) ) ), X ) }.
% 0.93/1.55 { c_member( T, Y, Z ), alpha4( X, Y, Z, T ) }.
% 0.93/1.55 { ! c_Orderings_Oord__class_Oless__eq( tc_fun( T, tc_HOL_Obool ),
% 0.93/1.55 c_Groups_Ominus__class_Ominus( tc_fun( T, tc_HOL_Obool ), Z,
% 0.93/1.55 c_Set_Oinsert( T, Y, c_Orderings_Obot__class_Obot( tc_fun( T,
% 0.93/1.55 tc_HOL_Obool ) ) ) ), X ), alpha4( X, Y, Z, T ) }.
% 0.93/1.55 { ! c_Orderings_Oord__class_Oless__eq( tc_fun( T, tc_HOL_Obool ),
% 0.93/1.55 c_Groups_Ominus__class_Ominus( tc_fun( T, tc_HOL_Obool ), Z,
% 0.93/1.55 c_Set_Oinsert( T, Y, c_Orderings_Obot__class_Obot( tc_fun( T,
% 0.93/1.55 tc_HOL_Obool ) ) ) ), X ), ! c_member( T, Y, Z ),
% 0.93/1.55 c_Orderings_Oord__class_Oless__eq( tc_fun( T, tc_HOL_Obool ), Z,
% 0.93/1.55 c_Set_Oinsert( T, Y, X ) ) }.
% 0.93/1.55 { c_Lattices_Osemilattice__inf__class_Oinf( tc_fun( Z, tc_HOL_Obool ), Y, X
% 0.93/1.55 ) = c_Complete__Lattice_OInf__class_OInf( tc_fun( Z, tc_HOL_Obool ),
% 0.93/1.55 c_Set_Oinsert( tc_fun( Z, tc_HOL_Obool ), Y, c_Set_Oinsert( tc_fun( Z,
% 0.93/1.55 tc_HOL_Obool ), X, c_Orderings_Obot__class_Obot( tc_fun( tc_fun( Z,
% 0.93/1.55 tc_HOL_Obool ), tc_HOL_Obool ) ) ) ) ) }.
% 0.93/1.55 { c_Lattices_Osemilattice__sup__class_Osup( tc_fun( Z, tc_HOL_Obool ), Y, X
% 0.93/1.55 ) = c_Complete__Lattice_OSup__class_OSup( tc_fun( Z, tc_HOL_Obool ),
% 0.93/1.55 c_Set_Oinsert( tc_fun( Z, tc_HOL_Obool ), Y, c_Set_Oinsert( tc_fun( Z,
% 0.93/1.55 tc_HOL_Obool ), X, c_Orderings_Obot__class_Obot( tc_fun( tc_fun( Z,
% 0.93/1.55 tc_HOL_Obool ), tc_HOL_Obool ) ) ) ) ) }.
% 0.93/1.55 { ! c_Orderings_Oord__class_Oless__eq( tc_RealDef_Oreal, Y, c_RealDef_Oreal
% 0.93/1.55 ( tc_Nat_Onat, X ) ), c_Orderings_Oord__class_Oless__eq( tc_Nat_Onat,
% 0.93/1.55 c_RComplete_Onatceiling( Y ), X ) }.
% 0.93/1.55 { ! hBOOL( hAPP( Z, Y ) ), hBOOL( hAPP(
% 0.93/1.55 c_Lattices_Osemilattice__sup__class_Osup( tc_fun( T, tc_HOL_Obool ), X, Z
% 0.93/1.55 ), Y ) ) }.
% 0.93/1.55 { ! hBOOL( hAPP( X, Y ) ), hBOOL( hAPP(
% 0.93/1.55 c_Lattices_Osemilattice__sup__class_Osup( tc_fun( T, tc_HOL_Obool ), X, Z
% 0.93/1.55 ), Y ) ) }.
% 0.93/1.55 { ! hBOOL( hAPP( c_Lattices_Osemilattice__sup__class_Osup( tc_fun( T,
% 0.93/1.55 tc_HOL_Obool ), Z, Y ), X ) ), hBOOL( hAPP( Z, X ) ), hBOOL( hAPP( Y, X )
% 0.93/1.55 ) }.
% 0.93/1.55 { ! hBOOL( hAPP( c_Lattices_Osemilattice__inf__class_Oinf( tc_fun( T,
% 0.93/1.55 tc_HOL_Obool ), Z, Y ), X ) ), hBOOL( hAPP( Z, X ) ) }.
% 0.93/1.55 { ! hBOOL( hAPP( c_Lattices_Osemilattice__inf__class_Oinf( tc_fun( T,
% 0.93/1.55 tc_HOL_Obool ), Z, Y ), X ) ), hBOOL( hAPP( Y, X ) ) }.
% 0.93/1.55 { ! hBOOL( hAPP( Y, X ) ), ! hBOOL( hAPP( Z, X ) ), hBOOL( hAPP(
% 0.93/1.55 c_Lattices_Osemilattice__inf__class_Oinf( tc_fun( T, tc_HOL_Obool ), Y, Z
% 0.93/1.55 ), X ) ) }.
% 0.93/1.55 { ! c_member( T, Z, c_Lattices_Osemilattice__sup__class_Osup( tc_fun( T,
% 0.93/1.55 tc_HOL_Obool ), Y, X ) ), c_member( T, Z, Y ), c_member( T, Z, X ) }.
% 0.93/1.55 { ! c_member( T, Z, Y ), c_member( T, Z,
% 0.93/1.55 c_Lattices_Osemilattice__sup__class_Osup( tc_fun( T, tc_HOL_Obool ), X, Y
% 0.93/1.55 ) ) }.
% 0.93/1.55 { ! c_member( T, Z, X ), c_member( T, Z,
% 0.93/1.55 c_Lattices_Osemilattice__sup__class_Osup( tc_fun( T, tc_HOL_Obool ), X, Y
% 0.93/1.55 ) ) }.
% 0.93/1.55 { ! c_member( Z, Y, X ), ! c_member( Z, Y, T ), c_member( Z, Y,
% 0.93/1.55 c_Lattices_Osemilattice__inf__class_Oinf( tc_fun( Z, tc_HOL_Obool ), X, T
% 0.93/1.55 ) ) }.
% 0.93/1.55 { ! c_member( T, Z, c_Lattices_Osemilattice__inf__class_Oinf( tc_fun( T,
% 0.93/1.55 tc_HOL_Obool ), Y, X ) ), c_member( T, Z, Y ) }.
% 0.93/1.55 { ! c_member( T, Z, c_Lattices_Osemilattice__inf__class_Oinf( tc_fun( T,
% 0.93/1.55 tc_HOL_Obool ), Y, X ) ), c_member( T, Z, X ) }.
% 0.93/1.55 { ! c_member( Z, Y, X ), c_member( Z, Y, T ), c_member( Z, Y,
% 0.93/1.55 c_Groups_Ominus__class_Ominus( tc_fun( Z, tc_HOL_Obool ), X, T ) ) }.
% 0.93/1.55 { ! c_member( T, Z, c_Groups_Ominus__class_Ominus( tc_fun( T, tc_HOL_Obool
% 0.93/1.55 ), Y, X ) ), c_member( T, Z, Y ) }.
% 0.93/1.55 { ! c_member( T, Z, c_Groups_Ominus__class_Ominus( tc_fun( T, tc_HOL_Obool
% 0.93/1.55 ), Y, X ) ), ! c_member( T, Z, X ) }.
% 0.93/1.55 { ! c_Orderings_Oord__class_Oless__eq( tc_fun( T, tc_HOL_Obool ),
% 0.93/1.55 c_Groups_Ominus__class_Ominus( tc_fun( T, tc_HOL_Obool ), Z, Y ), X ),
% 0.93/1.55 c_Orderings_Oord__class_Oless__eq( tc_fun( T, tc_HOL_Obool ), Z,
% 0.93/1.55 c_Lattices_Osemilattice__sup__class_Osup( tc_fun( T, tc_HOL_Obool ), Y, X
% 0.93/1.55 ) ) }.
% 0.93/1.55 { ! c_Orderings_Oord__class_Oless__eq( tc_fun( T, tc_HOL_Obool ), Z,
% 0.93/1.55 c_Lattices_Osemilattice__sup__class_Osup( tc_fun( T, tc_HOL_Obool ), Y, X
% 0.93/1.55 ) ), c_Orderings_Oord__class_Oless__eq( tc_fun( T, tc_HOL_Obool ),
% 0.93/1.55 c_Groups_Ominus__class_Ominus( tc_fun( T, tc_HOL_Obool ), Z, Y ), X ) }.
% 0.93/1.55 { ! c_Lattices_Osemilattice__sup__class_Osup( tc_fun( T, tc_HOL_Obool ),
% 0.93/1.55 c_Lattices_Osemilattice__inf__class_Oinf( tc_fun( T, tc_HOL_Obool ), Z, Y
% 0.93/1.55 ), X ) = c_Lattices_Osemilattice__inf__class_Oinf( tc_fun( T,
% 0.93/1.55 tc_HOL_Obool ), Z, c_Lattices_Osemilattice__sup__class_Osup( tc_fun( T,
% 0.93/1.55 tc_HOL_Obool ), Y, X ) ), c_Orderings_Oord__class_Oless__eq( tc_fun( T,
% 0.93/1.55 tc_HOL_Obool ), X, Z ) }.
% 0.93/1.55 { ! c_Orderings_Oord__class_Oless__eq( tc_fun( T, tc_HOL_Obool ), X, Z ),
% 0.93/1.55 c_Lattices_Osemilattice__sup__class_Osup( tc_fun( T, tc_HOL_Obool ),
% 0.93/1.55 c_Lattices_Osemilattice__inf__class_Oinf( tc_fun( T, tc_HOL_Obool ), Z, Y
% 0.93/1.55 ), X ) = c_Lattices_Osemilattice__inf__class_Oinf( tc_fun( T,
% 0.93/1.55 tc_HOL_Obool ), Z, c_Lattices_Osemilattice__sup__class_Osup( tc_fun( T,
% 0.93/1.55 tc_HOL_Obool ), Y, X ) ) }.
% 0.93/1.55 { ! c_Orderings_Oord__class_Oless__eq( tc_fun( Z, tc_HOL_Obool ), Y, X ),
% 0.93/1.55 c_Lattices_Osemilattice__sup__class_Osup( tc_fun( Z, tc_HOL_Obool ), Y,
% 0.93/1.55 c_Groups_Ominus__class_Ominus( tc_fun( Z, tc_HOL_Obool ), X, Y ) ) = X }
% 0.93/1.55 .
% 0.93/1.55 { c_Complete__Lattice_OInf__class_OInf( tc_fun( Z, tc_HOL_Obool ),
% 0.93/1.55 c_Lattices_Osemilattice__sup__class_Osup( tc_fun( tc_fun( Z, tc_HOL_Obool
% 0.93/1.55 ), tc_HOL_Obool ), Y, X ) ) = c_Lattices_Osemilattice__inf__class_Oinf(
% 0.93/1.55 tc_fun( Z, tc_HOL_Obool ), c_Complete__Lattice_OInf__class_OInf( tc_fun(
% 0.93/1.55 Z, tc_HOL_Obool ), Y ), c_Complete__Lattice_OInf__class_OInf( tc_fun( Z,
% 0.93/1.55 tc_HOL_Obool ), X ) ) }.
% 0.93/1.55 { ! hBOOL( hAPP( c_Lattices_Osemilattice__inf__class_Oinf( tc_fun( T,
% 0.93/1.55 tc_HOL_Obool ), Z, Y ), X ) ), hBOOL( hAPP( Y, X ) ) }.
% 0.93/1.55 { ! hBOOL( hAPP( c_Lattices_Osemilattice__inf__class_Oinf( tc_fun( T,
% 0.93/1.55 tc_HOL_Obool ), Y, Z ), X ) ), hBOOL( hAPP( Y, X ) ) }.
% 0.93/1.55 { ! hBOOL( hAPP( Y, X ) ), hBOOL( hAPP(
% 0.93/1.55 c_Lattices_Osemilattice__sup__class_Osup( tc_fun( T, tc_HOL_Obool ), Z, Y
% 0.93/1.55 ), X ) ) }.
% 0.93/1.55 { ! hBOOL( hAPP( Y, X ) ), hBOOL( hAPP(
% 0.93/1.55 c_Lattices_Osemilattice__sup__class_Osup( tc_fun( T, tc_HOL_Obool ), Y, Z
% 0.93/1.55 ), X ) ) }.
% 0.93/1.55 { c_Lattices_Osemilattice__sup__class_Osup( tc_fun( T, tc_HOL_Obool ),
% 0.93/1.55 c_Lattices_Osemilattice__sup__class_Osup( tc_fun( T, tc_HOL_Obool ),
% 0.93/1.55 c_Lattices_Osemilattice__inf__class_Oinf( tc_fun( T, tc_HOL_Obool ), Z, Y
% 0.93/1.55 ), c_Lattices_Osemilattice__inf__class_Oinf( tc_fun( T, tc_HOL_Obool ),
% 0.93/1.55 Y, X ) ), c_Lattices_Osemilattice__inf__class_Oinf( tc_fun( T,
% 0.93/1.55 tc_HOL_Obool ), X, Z ) ) = c_Lattices_Osemilattice__inf__class_Oinf(
% 0.93/1.55 tc_fun( T, tc_HOL_Obool ), c_Lattices_Osemilattice__inf__class_Oinf(
% 0.93/1.55 tc_fun( T, tc_HOL_Obool ), c_Lattices_Osemilattice__sup__class_Osup(
% 0.93/1.55 tc_fun( T, tc_HOL_Obool ), Z, Y ),
% 0.93/1.55 c_Lattices_Osemilattice__sup__class_Osup( tc_fun( T, tc_HOL_Obool ), Y, X
% 0.93/1.55 ) ), c_Lattices_Osemilattice__sup__class_Osup( tc_fun( T, tc_HOL_Obool )
% 0.93/1.55 , X, Z ) ) }.
% 0.93/1.55 { c_Groups_Ominus__class_Ominus( tc_fun( T, tc_HOL_Obool ),
% 0.93/1.55 c_Lattices_Osemilattice__inf__class_Oinf( tc_fun( T, tc_HOL_Obool ), Z, Y
% 0.93/1.55 ), c_Lattices_Osemilattice__inf__class_Oinf( tc_fun( T, tc_HOL_Obool ),
% 0.93/1.55 X, Y ) ) = c_Groups_Ominus__class_Ominus( tc_fun( T, tc_HOL_Obool ),
% 0.93/1.55 c_Lattices_Osemilattice__inf__class_Oinf( tc_fun( T, tc_HOL_Obool ), Z, Y
% 0.93/1.55 ), X ) }.
% 0.93/1.55 { c_Lattices_Osemilattice__sup__class_Osup( tc_fun( Z, tc_HOL_Obool ),
% 0.93/1.55 c_Groups_Ominus__class_Ominus( tc_fun( Z, tc_HOL_Obool ), Y, X ),
% 0.93/1.55 c_Lattices_Osemilattice__inf__class_Oinf( tc_fun( Z, tc_HOL_Obool ), Y, X
% 0.93/1.55 ) ) = Y }.
% 0.93/1.55 { ! alpha30( X, Y, Z, T ), alpha5( X, Z, T ) }.
% 0.93/1.55 { ! alpha30( X, Y, Z, T ), alpha20( X, Y, T ) }.
% 0.93/1.55 { ! alpha5( X, Z, T ), ! alpha20( X, Y, T ), alpha30( X, Y, Z, T ) }.
% 0.93/1.55 { ! alpha30( X, Y, Z, T ), ! c_member( T, U,
% 0.93/1.55 c_Lattices_Osemilattice__sup__class_Osup( tc_fun( T, tc_HOL_Obool ), Z, Y
% 0.93/1.55 ) ), hBOOL( hAPP( X, U ) ) }.
% 0.93/1.55 { ! hBOOL( hAPP( X, skol40( X, U, W, V0 ) ) ), alpha30( X, Y, Z, T ) }.
% 0.93/1.55 { c_member( T, skol40( X, Y, Z, T ),
% 0.93/1.55 c_Lattices_Osemilattice__sup__class_Osup( tc_fun( T, tc_HOL_Obool ), Z, Y
% 0.93/1.55 ) ), alpha30( X, Y, Z, T ) }.
% 0.93/1.55 { ! alpha20( X, Y, Z ), ! c_member( Z, T, Y ), hBOOL( hAPP( X, T ) ) }.
% 0.93/1.55 { ! hBOOL( hAPP( X, skol41( X, T, U ) ) ), alpha20( X, Y, Z ) }.
% 0.93/1.55 { c_member( Z, skol41( X, Y, Z ), Y ), alpha20( X, Y, Z ) }.
% 0.93/1.55 { ! alpha5( X, Y, Z ), ! c_member( Z, T, Y ), hBOOL( hAPP( X, T ) ) }.
% 0.93/1.55 { ! hBOOL( hAPP( X, skol42( X, T, U ) ) ), alpha5( X, Y, Z ) }.
% 0.93/1.55 { c_member( Z, skol42( X, Y, Z ), Y ), alpha5( X, Y, Z ) }.
% 0.93/1.55 { ! alpha31( X, Y, Z, T ), alpha6( X, Z, T ), alpha21( X, Y, T ) }.
% 0.93/1.55 { ! alpha6( X, Z, T ), alpha31( X, Y, Z, T ) }.
% 0.93/1.55 { ! alpha21( X, Y, T ), alpha31( X, Y, Z, T ) }.
% 0.93/1.55 { ! alpha31( X, Y, Z, T ), hBOOL( hAPP( X, skol43( X, U, W, V0 ) ) ) }.
% 0.93/1.55 { ! alpha31( X, Y, Z, T ), c_member( T, skol43( X, Y, Z, T ),
% 0.93/1.55 c_Lattices_Osemilattice__sup__class_Osup( tc_fun( T, tc_HOL_Obool ), Z, Y
% 0.93/1.55 ) ) }.
% 0.93/1.55 { ! c_member( T, U, c_Lattices_Osemilattice__sup__class_Osup( tc_fun( T,
% 0.93/1.55 tc_HOL_Obool ), Z, Y ) ), ! hBOOL( hAPP( X, U ) ), alpha31( X, Y, Z, T )
% 0.93/1.55 }.
% 0.93/1.55 { ! alpha21( X, Y, Z ), hBOOL( hAPP( X, skol44( X, T, U ) ) ) }.
% 0.93/1.55 { ! alpha21( X, Y, Z ), c_member( Z, skol44( X, Y, Z ), Y ) }.
% 0.93/1.55 { ! c_member( Z, T, Y ), ! hBOOL( hAPP( X, T ) ), alpha21( X, Y, Z ) }.
% 0.93/1.55 { ! alpha6( X, Y, Z ), hBOOL( hAPP( X, skol45( X, T, U ) ) ) }.
% 0.93/1.55 { ! alpha6( X, Y, Z ), c_member( Z, skol45( X, Y, Z ), Y ) }.
% 0.93/1.55 { ! c_member( Z, T, Y ), ! hBOOL( hAPP( X, T ) ), alpha6( X, Y, Z ) }.
% 0.93/1.55 { c_Lattices_Osemilattice__sup__class_Osup( tc_fun( T, tc_HOL_Obool ),
% 0.93/1.55 c_Lattices_Osemilattice__inf__class_Oinf( tc_fun( T, tc_HOL_Obool ), Z, Y
% 0.93/1.55 ), X ) = c_Lattices_Osemilattice__inf__class_Oinf( tc_fun( T,
% 0.93/1.55 tc_HOL_Obool ), c_Lattices_Osemilattice__sup__class_Osup( tc_fun( T,
% 0.93/1.55 tc_HOL_Obool ), Z, X ), c_Lattices_Osemilattice__sup__class_Osup( tc_fun
% 0.93/1.55 ( T, tc_HOL_Obool ), Y, X ) ) }.
% 0.93/1.55 { c_Lattices_Osemilattice__inf__class_Oinf( tc_fun( T, tc_HOL_Obool ),
% 0.93/1.55 c_Lattices_Osemilattice__sup__class_Osup( tc_fun( T, tc_HOL_Obool ), Z, Y
% 0.93/1.55 ), X ) = c_Lattices_Osemilattice__sup__class_Osup( tc_fun( T,
% 0.93/1.55 tc_HOL_Obool ), c_Lattices_Osemilattice__inf__class_Oinf( tc_fun( T,
% 0.93/1.55 tc_HOL_Obool ), Z, X ), c_Lattices_Osemilattice__inf__class_Oinf( tc_fun
% 0.93/1.55 ( T, tc_HOL_Obool ), Y, X ) ) }.
% 0.93/1.55 { c_Lattices_Osemilattice__inf__class_Oinf( tc_fun( T, tc_HOL_Obool ),
% 0.93/1.55 c_Groups_Ominus__class_Ominus( tc_fun( T, tc_HOL_Obool ), Z, Y ), X ) =
% 0.93/1.55 c_Groups_Ominus__class_Ominus( tc_fun( T, tc_HOL_Obool ),
% 0.93/1.55 c_Lattices_Osemilattice__inf__class_Oinf( tc_fun( T, tc_HOL_Obool ), Z, X
% 0.93/1.55 ), c_Lattices_Osemilattice__inf__class_Oinf( tc_fun( T, tc_HOL_Obool ),
% 0.93/1.55 Y, X ) ) }.
% 0.93/1.55 { c_Groups_Ominus__class_Ominus( tc_fun( T, tc_HOL_Obool ),
% 0.93/1.55 c_Lattices_Osemilattice__sup__class_Osup( tc_fun( T, tc_HOL_Obool ), Z, Y
% 0.93/1.55 ), X ) = c_Lattices_Osemilattice__sup__class_Osup( tc_fun( T,
% 0.93/1.55 tc_HOL_Obool ), c_Groups_Ominus__class_Ominus( tc_fun( T, tc_HOL_Obool )
% 0.93/1.55 , Z, X ), c_Groups_Ominus__class_Ominus( tc_fun( T, tc_HOL_Obool ), Y, X
% 0.93/1.55 ) ) }.
% 0.93/1.55 { c_Lattices_Osemilattice__sup__class_Osup( tc_fun( T, tc_HOL_Obool ),
% 0.93/1.55 c_Lattices_Osemilattice__sup__class_Osup( tc_fun( T, tc_HOL_Obool ), Z, Y
% 0.93/1.55 ), X ) = c_Lattices_Osemilattice__sup__class_Osup( tc_fun( T,
% 0.93/1.55 tc_HOL_Obool ), Z, c_Lattices_Osemilattice__sup__class_Osup( tc_fun( T,
% 0.93/1.55 tc_HOL_Obool ), Y, X ) ) }.
% 0.93/1.55 { c_Lattices_Osemilattice__inf__class_Oinf( tc_fun( T, tc_HOL_Obool ),
% 0.93/1.55 c_Lattices_Osemilattice__inf__class_Oinf( tc_fun( T, tc_HOL_Obool ), Z, Y
% 0.93/1.55 ), X ) = c_Lattices_Osemilattice__inf__class_Oinf( tc_fun( T,
% 0.93/1.55 tc_HOL_Obool ), Z, c_Lattices_Osemilattice__inf__class_Oinf( tc_fun( T,
% 0.93/1.55 tc_HOL_Obool ), Y, X ) ) }.
% 0.93/1.55 { c_Groups_Ominus__class_Ominus( tc_fun( T, tc_HOL_Obool ),
% 0.93/1.55 c_Lattices_Osemilattice__inf__class_Oinf( tc_fun( T, tc_HOL_Obool ), Z, Y
% 0.93/1.55 ), X ) = c_Lattices_Osemilattice__inf__class_Oinf( tc_fun( T,
% 0.93/1.55 tc_HOL_Obool ), Z, c_Groups_Ominus__class_Ominus( tc_fun( T, tc_HOL_Obool
% 0.93/1.55 ), Y, X ) ) }.
% 0.93/1.55 { c_Lattices_Osemilattice__sup__class_Osup( tc_fun( Z, tc_HOL_Obool ),
% 0.93/1.55 c_Groups_Ominus__class_Ominus( tc_fun( Z, tc_HOL_Obool ), Y, X ), X ) =
% 0.93/1.55 c_Lattices_Osemilattice__sup__class_Osup( tc_fun( Z, tc_HOL_Obool ), Y, X
% 0.93/1.55 ) }.
% 0.93/1.55 { c_Groups_Ominus__class_Ominus( tc_fun( Z, tc_HOL_Obool ),
% 0.93/1.55 c_Groups_Ominus__class_Ominus( tc_fun( Z, tc_HOL_Obool ), Y, X ), X ) =
% 0.93/1.55 c_Groups_Ominus__class_Ominus( tc_fun( Z, tc_HOL_Obool ), Y, X ) }.
% 0.93/1.55 { c_Lattices_Osemilattice__sup__class_Osup( tc_fun( T, tc_HOL_Obool ), Z,
% 0.93/1.55 c_Lattices_Osemilattice__inf__class_Oinf( tc_fun( T, tc_HOL_Obool ), Y, X
% 0.93/1.55 ) ) = c_Lattices_Osemilattice__inf__class_Oinf( tc_fun( T, tc_HOL_Obool
% 0.93/1.55 ), c_Lattices_Osemilattice__sup__class_Osup( tc_fun( T, tc_HOL_Obool ),
% 0.93/1.55 Z, Y ), c_Lattices_Osemilattice__sup__class_Osup( tc_fun( T, tc_HOL_Obool
% 0.93/1.55 ), Z, X ) ) }.
% 0.93/1.55 { c_Lattices_Osemilattice__inf__class_Oinf( tc_fun( T, tc_HOL_Obool ), Z,
% 0.93/1.55 c_Groups_Ominus__class_Ominus( tc_fun( T, tc_HOL_Obool ), Y, X ) ) =
% 0.93/1.55 c_Groups_Ominus__class_Ominus( tc_fun( T, tc_HOL_Obool ),
% 0.93/1.55 c_Lattices_Osemilattice__inf__class_Oinf( tc_fun( T, tc_HOL_Obool ), Z, Y
% 0.93/1.55 ), c_Lattices_Osemilattice__inf__class_Oinf( tc_fun( T, tc_HOL_Obool ),
% 0.93/1.55 Z, X ) ) }.
% 0.93/1.55 { c_Lattices_Osemilattice__inf__class_Oinf( tc_fun( T, tc_HOL_Obool ), Z,
% 0.93/1.55 c_Lattices_Osemilattice__sup__class_Osup( tc_fun( T, tc_HOL_Obool ), Y, X
% 0.93/1.55 ) ) = c_Lattices_Osemilattice__sup__class_Osup( tc_fun( T, tc_HOL_Obool
% 0.93/1.55 ), c_Lattices_Osemilattice__inf__class_Oinf( tc_fun( T, tc_HOL_Obool ),
% 0.93/1.55 Z, Y ), c_Lattices_Osemilattice__inf__class_Oinf( tc_fun( T, tc_HOL_Obool
% 0.93/1.55 ), Z, X ) ) }.
% 0.93/1.55 { c_Groups_Ominus__class_Ominus( tc_fun( T, tc_HOL_Obool ), Z,
% 0.93/1.55 c_Lattices_Osemilattice__sup__class_Osup( tc_fun( T, tc_HOL_Obool ), Y, X
% 0.93/1.55 ) ) = c_Lattices_Osemilattice__inf__class_Oinf( tc_fun( T, tc_HOL_Obool
% 0.93/1.55 ), c_Groups_Ominus__class_Ominus( tc_fun( T, tc_HOL_Obool ), Z, Y ),
% 0.93/1.55 c_Groups_Ominus__class_Ominus( tc_fun( T, tc_HOL_Obool ), Z, X ) ) }.
% 0.93/1.55 { c_Groups_Ominus__class_Ominus( tc_fun( T, tc_HOL_Obool ), Z,
% 0.93/1.55 c_Lattices_Osemilattice__inf__class_Oinf( tc_fun( T, tc_HOL_Obool ), Y, X
% 0.93/1.55 ) ) = c_Lattices_Osemilattice__sup__class_Osup( tc_fun( T, tc_HOL_Obool
% 0.93/1.55 ), c_Groups_Ominus__class_Ominus( tc_fun( T, tc_HOL_Obool ), Z, Y ),
% 0.93/1.55 c_Groups_Ominus__class_Ominus( tc_fun( T, tc_HOL_Obool ), Z, X ) ) }.
% 0.93/1.55 { c_Lattices_Osemilattice__sup__class_Osup( tc_fun( T, tc_HOL_Obool ), Z,
% 0.93/1.55 c_Lattices_Osemilattice__sup__class_Osup( tc_fun( T, tc_HOL_Obool ), Y, X
% 0.93/1.55 ) ) = c_Lattices_Osemilattice__sup__class_Osup( tc_fun( T, tc_HOL_Obool
% 0.93/1.55 ), Y, c_Lattices_Osemilattice__sup__class_Osup( tc_fun( T, tc_HOL_Obool
% 0.93/1.55 ), Z, X ) ) }.
% 0.93/1.55 { c_Lattices_Osemilattice__inf__class_Oinf( tc_fun( T, tc_HOL_Obool ), Z,
% 0.93/1.55 c_Lattices_Osemilattice__inf__class_Oinf( tc_fun( T, tc_HOL_Obool ), Y, X
% 0.93/1.55 ) ) = c_Lattices_Osemilattice__inf__class_Oinf( tc_fun( T, tc_HOL_Obool
% 0.93/1.55 ), Y, c_Lattices_Osemilattice__inf__class_Oinf( tc_fun( T, tc_HOL_Obool
% 0.93/1.55 ), Z, X ) ) }.
% 0.93/1.55 { c_Lattices_Osemilattice__sup__class_Osup( tc_fun( Z, tc_HOL_Obool ), Y,
% 0.93/1.55 c_Lattices_Osemilattice__sup__class_Osup( tc_fun( Z, tc_HOL_Obool ), Y, X
% 0.93/1.55 ) ) = c_Lattices_Osemilattice__sup__class_Osup( tc_fun( Z, tc_HOL_Obool
% 0.93/1.55 ), Y, X ) }.
% 0.93/1.55 { c_Lattices_Osemilattice__sup__class_Osup( tc_fun( Z, tc_HOL_Obool ), Y,
% 0.93/1.55 c_Groups_Ominus__class_Ominus( tc_fun( Z, tc_HOL_Obool ), X, Y ) ) =
% 0.93/1.55 c_Lattices_Osemilattice__sup__class_Osup( tc_fun( Z, tc_HOL_Obool ), Y, X
% 0.93/1.55 ) }.
% 0.93/1.55 { c_Lattices_Osemilattice__inf__class_Oinf( tc_fun( Z, tc_HOL_Obool ), Y,
% 0.93/1.55 c_Lattices_Osemilattice__inf__class_Oinf( tc_fun( Z, tc_HOL_Obool ), Y, X
% 0.93/1.55 ) ) = c_Lattices_Osemilattice__inf__class_Oinf( tc_fun( Z, tc_HOL_Obool
% 0.93/1.55 ), Y, X ) }.
% 0.93/1.55 { c_Lattices_Osemilattice__sup__class_Osup( tc_fun( Z, tc_HOL_Obool ), Y, X
% 0.93/1.55 ) = c_Lattices_Osemilattice__sup__class_Osup( tc_fun( Z, tc_HOL_Obool )
% 0.93/1.55 , X, Y ) }.
% 0.93/1.55 { c_Lattices_Osemilattice__inf__class_Oinf( tc_fun( Z, tc_HOL_Obool ), Y, X
% 0.93/1.55 ) = c_Lattices_Osemilattice__inf__class_Oinf( tc_fun( Z, tc_HOL_Obool )
% 0.93/1.55 , X, Y ) }.
% 0.93/1.55 { c_Lattices_Osemilattice__sup__class_Osup( tc_fun( Y, tc_HOL_Obool ), X, X
% 0.93/1.55 ) = X }.
% 0.93/1.55 { c_Lattices_Osemilattice__inf__class_Oinf( tc_fun( Y, tc_HOL_Obool ), X, X
% 0.93/1.55 ) = X }.
% 0.93/1.55 { c_Complete__Lattice_OSup__class_OSup( tc_fun( Z, tc_HOL_Obool ),
% 0.93/1.55 c_Lattices_Osemilattice__sup__class_Osup( tc_fun( tc_fun( Z, tc_HOL_Obool
% 0.93/1.55 ), tc_HOL_Obool ), Y, X ) ) = c_Lattices_Osemilattice__sup__class_Osup(
% 0.93/1.55 tc_fun( Z, tc_HOL_Obool ), c_Complete__Lattice_OSup__class_OSup( tc_fun(
% 0.93/1.55 Z, tc_HOL_Obool ), Y ), c_Complete__Lattice_OSup__class_OSup( tc_fun( Z,
% 0.93/1.55 tc_HOL_Obool ), X ) ) }.
% 0.93/1.55 { c_Set_OPow( Z, c_Lattices_Osemilattice__inf__class_Oinf( tc_fun( Z,
% 0.93/1.55 tc_HOL_Obool ), Y, X ) ) = c_Lattices_Osemilattice__inf__class_Oinf(
% 0.93/1.55 tc_fun( tc_fun( Z, tc_HOL_Obool ), tc_HOL_Obool ), c_Set_OPow( Z, Y ),
% 0.93/1.55 c_Set_OPow( Z, X ) ) }.
% 0.93/1.55 { ! c_RealDef_Oreal( tc_Nat_Onat, Y ) = c_RealDef_Oreal( tc_Nat_Onat, X ),
% 0.93/1.55 Y = X }.
% 0.93/1.55 { ! Y = X, c_RealDef_Oreal( tc_Nat_Onat, Y ) = c_RealDef_Oreal( tc_Nat_Onat
% 0.93/1.55 , X ) }.
% 0.93/1.55 { ! c_Lattices_Osemilattice__inf__class_Oinf( tc_fun( Z, tc_HOL_Obool ), Y
% 0.93/1.55 , X ) = c_Orderings_Obot__class_Obot( tc_fun( Z, tc_HOL_Obool ) ),
% 0.93/1.55 c_Groups_Ominus__class_Ominus( tc_fun( Z, tc_HOL_Obool ), Y, X ) = Y }.
% 0.93/1.55 { c_Lattices_Osemilattice__inf__class_Oinf( tc_fun( Z, tc_HOL_Obool ), Y,
% 0.93/1.55 c_Groups_Ominus__class_Ominus( tc_fun( Z, tc_HOL_Obool ), X, Y ) ) =
% 0.93/1.55 c_Orderings_Obot__class_Obot( tc_fun( Z, tc_HOL_Obool ) ) }.
% 0.93/1.55 { c_Orderings_Oord__class_Oless__eq( tc_fun( Z, tc_HOL_Obool ),
% 0.93/1.55 c_Complete__Lattice_OSup__class_OSup( tc_fun( Z, tc_HOL_Obool ),
% 0.93/1.55 c_Lattices_Osemilattice__inf__class_Oinf( tc_fun( tc_fun( Z, tc_HOL_Obool
% 0.93/1.55 ), tc_HOL_Obool ), Y, X ) ), c_Lattices_Osemilattice__inf__class_Oinf(
% 0.93/1.55 tc_fun( Z, tc_HOL_Obool ), c_Complete__Lattice_OSup__class_OSup( tc_fun(
% 0.93/1.55 Z, tc_HOL_Obool ), Y ), c_Complete__Lattice_OSup__class_OSup( tc_fun( Z,
% 0.93/1.55 tc_HOL_Obool ), X ) ) ) }.
% 0.93/1.55 { c_Orderings_Oord__class_Oless__eq( tc_fun( Z, tc_HOL_Obool ),
% 0.93/1.55 c_Lattices_Osemilattice__sup__class_Osup( tc_fun( Z, tc_HOL_Obool ),
% 0.93/1.55 c_Complete__Lattice_OInf__class_OInf( tc_fun( Z, tc_HOL_Obool ), Y ),
% 0.93/1.55 c_Complete__Lattice_OInf__class_OInf( tc_fun( Z, tc_HOL_Obool ), X ) ),
% 0.93/1.55 c_Complete__Lattice_OInf__class_OInf( tc_fun( Z, tc_HOL_Obool ),
% 0.93/1.55 c_Lattices_Osemilattice__inf__class_Oinf( tc_fun( tc_fun( Z, tc_HOL_Obool
% 0.93/1.55 ), tc_HOL_Obool ), Y, X ) ) ) }.
% 0.93/1.55 { ! c_member( T, Z, c_Lattices_Osemilattice__sup__class_Osup( tc_fun( T,
% 0.93/1.55 tc_HOL_Obool ), Y, X ) ), c_member( T, Z, Y ), c_member( T, Z, X ) }.
% 0.93/1.55 { ! c_member( T, Z, Y ), c_member( T, Z,
% 0.93/1.55 c_Lattices_Osemilattice__sup__class_Osup( tc_fun( T, tc_HOL_Obool ), Y, X
% 0.93/1.55 ) ) }.
% 0.93/1.55 { ! c_member( T, Z, X ), c_member( T, Z,
% 0.93/1.55 c_Lattices_Osemilattice__sup__class_Osup( tc_fun( T, tc_HOL_Obool ), Y, X
% 0.93/1.55 ) ) }.
% 0.93/1.55 { ! c_member( Z, Y, X ), c_member( Z, Y,
% 0.93/1.55 c_Lattices_Osemilattice__sup__class_Osup( tc_fun( Z, tc_HOL_Obool ), X, T
% 0.93/1.55 ) ) }.
% 0.93/1.55 { ! c_member( Z, Y, X ), c_member( Z, Y,
% 0.93/1.55 c_Lattices_Osemilattice__sup__class_Osup( tc_fun( Z, tc_HOL_Obool ), T, X
% 0.93/1.55 ) ) }.
% 0.93/1.55 { ! c_member( T, Z, c_Lattices_Osemilattice__inf__class_Oinf( tc_fun( T,
% 0.93/1.55 tc_HOL_Obool ), Y, X ) ), c_member( T, Z, Y ) }.
% 0.93/1.55 { ! c_member( T, Z, c_Lattices_Osemilattice__inf__class_Oinf( tc_fun( T,
% 0.93/1.55 tc_HOL_Obool ), Y, X ) ), c_member( T, Z, X ) }.
% 0.93/1.55 { ! c_member( T, Z, Y ), ! c_member( T, Z, X ), c_member( T, Z,
% 0.93/1.55 c_Lattices_Osemilattice__inf__class_Oinf( tc_fun( T, tc_HOL_Obool ), Y, X
% 0.93/1.55 ) ) }.
% 0.93/1.55 { ! c_member( Z, Y, c_Lattices_Osemilattice__inf__class_Oinf( tc_fun( Z,
% 0.93/1.55 tc_HOL_Obool ), X, T ) ), c_member( Z, Y, X ) }.
% 0.93/1.55 { ! c_member( Z, Y, c_Lattices_Osemilattice__inf__class_Oinf( tc_fun( Z,
% 0.93/1.55 tc_HOL_Obool ), T, X ) ), c_member( Z, Y, X ) }.
% 0.93/1.55 { ! c_member( T, Z, c_Groups_Ominus__class_Ominus( tc_fun( T, tc_HOL_Obool
% 0.93/1.55 ), Y, X ) ), c_member( T, Z, Y ) }.
% 0.93/1.55 { ! c_member( T, Z, c_Groups_Ominus__class_Ominus( tc_fun( T, tc_HOL_Obool
% 0.93/1.55 ), Y, X ) ), ! c_member( T, Z, X ) }.
% 0.93/1.55 { ! c_member( T, Z, Y ), c_member( T, Z, X ), c_member( T, Z,
% 0.93/1.55 c_Groups_Ominus__class_Ominus( tc_fun( T, tc_HOL_Obool ), Y, X ) ) }.
% 0.93/1.55 { ! c_member( Z, Y, c_Groups_Ominus__class_Ominus( tc_fun( Z, tc_HOL_Obool
% 0.93/1.55 ), X, T ) ), c_member( Z, Y, X ) }.
% 0.93/1.55 { ! c_member( Z, Y, c_Groups_Ominus__class_Ominus( tc_fun( Z, tc_HOL_Obool
% 0.93/1.55 ), T, X ) ), ! c_member( Z, Y, X ) }.
% 0.93/1.55 { c_Lattices_Osemilattice__sup__class_Osup( tc_fun( Y, tc_HOL_Obool ),
% 0.93/1.55 c_Orderings_Obot__class_Obot( tc_fun( Y, tc_HOL_Obool ) ), X ) = X }.
% 0.93/1.55 { c_Lattices_Osemilattice__sup__class_Osup( tc_fun( Y, tc_HOL_Obool ), X,
% 0.93/1.55 c_Orderings_Obot__class_Obot( tc_fun( Y, tc_HOL_Obool ) ) ) = X }.
% 0.93/1.55 { ! c_Lattices_Osemilattice__sup__class_Osup( tc_fun( Z, tc_HOL_Obool ), Y
% 0.93/1.55 , X ) = c_Orderings_Obot__class_Obot( tc_fun( Z, tc_HOL_Obool ) ), Y =
% 0.93/1.55 c_Orderings_Obot__class_Obot( tc_fun( Z, tc_HOL_Obool ) ) }.
% 0.93/1.55 { ! c_Lattices_Osemilattice__sup__class_Osup( tc_fun( Z, tc_HOL_Obool ), Y
% 0.93/1.55 , X ) = c_Orderings_Obot__class_Obot( tc_fun( Z, tc_HOL_Obool ) ), X =
% 0.93/1.55 c_Orderings_Obot__class_Obot( tc_fun( Z, tc_HOL_Obool ) ) }.
% 0.93/1.55 { ! Y = c_Orderings_Obot__class_Obot( tc_fun( Z, tc_HOL_Obool ) ), ! X =
% 0.93/1.55 c_Orderings_Obot__class_Obot( tc_fun( Z, tc_HOL_Obool ) ),
% 0.93/1.55 c_Lattices_Osemilattice__sup__class_Osup( tc_fun( Z, tc_HOL_Obool ), Y, X
% 0.93/1.55 ) = c_Orderings_Obot__class_Obot( tc_fun( Z, tc_HOL_Obool ) ) }.
% 0.93/1.55 { c_Lattices_Osemilattice__inf__class_Oinf( tc_fun( Y, tc_HOL_Obool ),
% 0.93/1.55 c_Orderings_Obot__class_Obot( tc_fun( Y, tc_HOL_Obool ) ), X ) =
% 0.93/1.55 c_Orderings_Obot__class_Obot( tc_fun( Y, tc_HOL_Obool ) ) }.
% 0.93/1.55 { c_Lattices_Osemilattice__inf__class_Oinf( tc_fun( Y, tc_HOL_Obool ), X,
% 0.93/1.55 c_Orderings_Obot__class_Obot( tc_fun( Y, tc_HOL_Obool ) ) ) =
% 0.93/1.55 c_Orderings_Obot__class_Obot( tc_fun( Y, tc_HOL_Obool ) ) }.
% 0.93/1.55 { ! c_Lattices_Osemilattice__inf__class_Oinf( tc_fun( Z, tc_HOL_Obool ), Y
% 0.93/1.55 , X ) = c_Orderings_Obot__class_Obot( tc_fun( Z, tc_HOL_Obool ) ), !
% 0.93/1.55 c_member( Z, T, Y ), alpha7( X, Z, T ) }.
% 0.93/1.55 { c_member( Z, skol46( T, Y, Z ), Y ),
% 0.93/1.55 c_Lattices_Osemilattice__inf__class_Oinf( tc_fun( Z, tc_HOL_Obool ), Y, X
% 0.93/1.55 ) = c_Orderings_Obot__class_Obot( tc_fun( Z, tc_HOL_Obool ) ) }.
% 0.93/1.55 { ! alpha7( X, Z, skol46( X, Y, Z ) ),
% 0.93/1.55 c_Lattices_Osemilattice__inf__class_Oinf( tc_fun( Z, tc_HOL_Obool ), Y, X
% 0.93/1.55 ) = c_Orderings_Obot__class_Obot( tc_fun( Z, tc_HOL_Obool ) ) }.
% 0.93/1.55 { ! alpha7( X, Y, Z ), ! c_member( Y, T, X ), ! Z = T }.
% 0.93/1.55 { Z = skol47( T, U, Z ), alpha7( X, Y, Z ) }.
% 0.93/1.55 { c_member( Y, skol47( X, Y, Z ), X ), alpha7( X, Y, Z ) }.
% 0.93/1.55 { c_Groups_Ominus__class_Ominus( tc_fun( Y, tc_HOL_Obool ),
% 0.93/1.55 c_Orderings_Obot__class_Obot( tc_fun( Y, tc_HOL_Obool ) ), X ) =
% 0.93/1.55 c_Orderings_Obot__class_Obot( tc_fun( Y, tc_HOL_Obool ) ) }.
% 0.93/1.55 { c_Groups_Ominus__class_Ominus( tc_fun( Y, tc_HOL_Obool ), X,
% 0.93/1.55 c_Orderings_Obot__class_Obot( tc_fun( Y, tc_HOL_Obool ) ) ) = X }.
% 0.93/1.55 { c_Groups_Ominus__class_Ominus( tc_fun( Y, tc_HOL_Obool ), X, X ) =
% 0.93/1.55 c_Orderings_Obot__class_Obot( tc_fun( Y, tc_HOL_Obool ) ) }.
% 0.93/1.55 { c_Lattices_Osemilattice__sup__class_Osup( tc_fun( T, tc_HOL_Obool ),
% 0.93/1.55 c_Set_Oinsert( T, Z, Y ), X ) = c_Set_Oinsert( T, Z,
% 0.93/1.55 c_Lattices_Osemilattice__sup__class_Osup( tc_fun( T, tc_HOL_Obool ), Y, X
% 0.93/1.55 ) ) }.
% 0.93/1.55 { c_Lattices_Osemilattice__sup__class_Osup( tc_fun( T, tc_HOL_Obool ), Z,
% 0.93/1.55 c_Set_Oinsert( T, Y, X ) ) = c_Set_Oinsert( T, Y,
% 0.93/1.55 c_Lattices_Osemilattice__sup__class_Osup( tc_fun( T, tc_HOL_Obool ), Z, X
% 0.93/1.55 ) ) }.
% 0.93/1.55 { c_Lattices_Osemilattice__inf__class_Oinf( tc_fun( T, tc_HOL_Obool ),
% 0.93/1.55 c_Set_Oinsert( T, Z, Y ), c_Set_Oinsert( T, Z, X ) ) = c_Set_Oinsert( T,
% 0.93/1.55 Z, c_Lattices_Osemilattice__inf__class_Oinf( tc_fun( T, tc_HOL_Obool ), Y
% 0.93/1.55 , X ) ) }.
% 0.93/1.55 { c_Lattices_Osemilattice__sup__class_Osup( tc_fun( Y, tc_HOL_Obool ), X,
% 0.93/1.55 c_Orderings_Otop__class_Otop( tc_fun( Y, tc_HOL_Obool ) ) ) =
% 0.93/1.55 c_Orderings_Otop__class_Otop( tc_fun( Y, tc_HOL_Obool ) ) }.
% 0.93/1.55 { c_Lattices_Osemilattice__sup__class_Osup( tc_fun( Y, tc_HOL_Obool ),
% 0.93/1.55 c_Orderings_Otop__class_Otop( tc_fun( Y, tc_HOL_Obool ) ), X ) =
% 0.93/1.55 c_Orderings_Otop__class_Otop( tc_fun( Y, tc_HOL_Obool ) ) }.
% 0.93/1.55 { c_Orderings_Oord__class_Oless__eq( tc_fun( Z, tc_HOL_Obool ), Y,
% 0.93/1.55 c_Lattices_Osemilattice__sup__class_Osup( tc_fun( Z, tc_HOL_Obool ), Y, X
% 0.93/1.55 ) ) }.
% 0.93/1.55 { c_Orderings_Oord__class_Oless__eq( tc_fun( Z, tc_HOL_Obool ), Y,
% 0.93/1.55 c_Lattices_Osemilattice__sup__class_Osup( tc_fun( Z, tc_HOL_Obool ), X, Y
% 0.93/1.55 ) ) }.
% 0.93/1.55 { ! c_Orderings_Oord__class_Oless__eq( tc_fun( Z, tc_HOL_Obool ), Y, X ),
% 0.93/1.55 c_Lattices_Osemilattice__sup__class_Osup( tc_fun( Z, tc_HOL_Obool ), Y, X
% 0.93/1.55 ) = X }.
% 0.93/1.55 { ! c_Lattices_Osemilattice__sup__class_Osup( tc_fun( Z, tc_HOL_Obool ), Y
% 0.93/1.55 , X ) = X, c_Orderings_Oord__class_Oless__eq( tc_fun( Z, tc_HOL_Obool ),
% 0.93/1.55 Y, X ) }.
% 0.93/1.55 { ! c_Orderings_Oord__class_Oless__eq( tc_fun( Z, tc_HOL_Obool ), Y, X ),
% 0.93/1.55 c_Lattices_Osemilattice__sup__class_Osup( tc_fun( Z, tc_HOL_Obool ), Y, X
% 0.93/1.55 ) = X }.
% 0.93/1.55 { ! c_Orderings_Oord__class_Oless__eq( tc_fun( Z, tc_HOL_Obool ), Y, X ),
% 0.93/1.55 c_Lattices_Osemilattice__sup__class_Osup( tc_fun( Z, tc_HOL_Obool ), X, Y
% 0.93/1.55 ) = X }.
% 0.93/1.55 { ! c_Orderings_Oord__class_Oless__eq( tc_fun( Z, tc_HOL_Obool ), Y, X ), !
% 0.93/1.55 c_Orderings_Oord__class_Oless__eq( tc_fun( Z, tc_HOL_Obool ), T, X ),
% 0.93/1.55 c_Orderings_Oord__class_Oless__eq( tc_fun( Z, tc_HOL_Obool ),
% 0.93/1.55 c_Lattices_Osemilattice__sup__class_Osup( tc_fun( Z, tc_HOL_Obool ), Y, T
% 0.93/1.55 ), X ) }.
% 0.93/1.55 { ! c_Orderings_Oord__class_Oless__eq( tc_fun( Z, tc_HOL_Obool ), Y, X ), !
% 0.93/1.55 c_Orderings_Oord__class_Oless__eq( tc_fun( Z, tc_HOL_Obool ), U, T ),
% 0.93/1.55 c_Orderings_Oord__class_Oless__eq( tc_fun( Z, tc_HOL_Obool ),
% 0.93/1.55 c_Lattices_Osemilattice__sup__class_Osup( tc_fun( Z, tc_HOL_Obool ), Y, U
% 0.93/1.55 ), c_Lattices_Osemilattice__sup__class_Osup( tc_fun( Z, tc_HOL_Obool ),
% 0.93/1.55 X, T ) ) }.
% 0.93/1.55 { c_Lattices_Osemilattice__inf__class_Oinf( tc_fun( Y, tc_HOL_Obool ), X,
% 0.93/1.55 c_Orderings_Otop__class_Otop( tc_fun( Y, tc_HOL_Obool ) ) ) = X }.
% 0.93/1.55 { c_Lattices_Osemilattice__inf__class_Oinf( tc_fun( Y, tc_HOL_Obool ),
% 0.93/1.55 c_Orderings_Otop__class_Otop( tc_fun( Y, tc_HOL_Obool ) ), X ) = X }.
% 0.93/1.55 { c_Orderings_Oord__class_Oless__eq( tc_fun( Z, tc_HOL_Obool ),
% 0.93/1.55 c_Lattices_Osemilattice__inf__class_Oinf( tc_fun( Z, tc_HOL_Obool ), Y, X
% 0.93/1.55 ), Y ) }.
% 0.93/1.55 { c_Orderings_Oord__class_Oless__eq( tc_fun( Z, tc_HOL_Obool ),
% 0.93/1.55 c_Lattices_Osemilattice__inf__class_Oinf( tc_fun( Z, tc_HOL_Obool ), Y, X
% 0.93/1.55 ), X ) }.
% 0.93/1.55 { ! c_Orderings_Oord__class_Oless__eq( tc_fun( Z, tc_HOL_Obool ), Y, X ),
% 0.93/1.55 c_Lattices_Osemilattice__inf__class_Oinf( tc_fun( Z, tc_HOL_Obool ), Y, X
% 0.93/1.55 ) = Y }.
% 0.93/1.55 { ! c_Orderings_Oord__class_Oless__eq( tc_fun( Z, tc_HOL_Obool ), Y, X ),
% 0.93/1.55 c_Lattices_Osemilattice__inf__class_Oinf( tc_fun( Z, tc_HOL_Obool ), X, Y
% 0.93/1.55 ) = Y }.
% 0.93/1.55 { ! c_Orderings_Oord__class_Oless__eq( tc_fun( Z, tc_HOL_Obool ), Y, X ), !
% 0.93/1.55 c_Orderings_Oord__class_Oless__eq( tc_fun( Z, tc_HOL_Obool ), Y, T ),
% 0.93/1.55 c_Orderings_Oord__class_Oless__eq( tc_fun( Z, tc_HOL_Obool ), Y,
% 0.93/1.55 c_Lattices_Osemilattice__inf__class_Oinf( tc_fun( Z, tc_HOL_Obool ), X, T
% 0.93/1.55 ) ) }.
% 0.93/1.55 { ! c_Orderings_Oord__class_Oless__eq( tc_fun( Z, tc_HOL_Obool ), Y, X ), !
% 0.93/1.55 c_Orderings_Oord__class_Oless__eq( tc_fun( Z, tc_HOL_Obool ), U, T ),
% 0.93/1.55 c_Orderings_Oord__class_Oless__eq( tc_fun( Z, tc_HOL_Obool ),
% 0.93/1.55 c_Lattices_Osemilattice__inf__class_Oinf( tc_fun( Z, tc_HOL_Obool ), Y, U
% 0.93/1.55 ), c_Lattices_Osemilattice__inf__class_Oinf( tc_fun( Z, tc_HOL_Obool ),
% 0.93/1.55 X, T ) ) }.
% 0.93/1.55 { c_Orderings_Oord__class_Oless__eq( tc_fun( Z, tc_HOL_Obool ),
% 0.93/1.55 c_Groups_Ominus__class_Ominus( tc_fun( Z, tc_HOL_Obool ), Y, X ), Y ) }.
% 0.93/1.55 { ! c_Orderings_Oord__class_Oless__eq( tc_fun( Z, tc_HOL_Obool ), Y, X ), !
% 0.93/1.55 c_Orderings_Oord__class_Oless__eq( tc_fun( Z, tc_HOL_Obool ), U, T ),
% 0.93/1.55 c_Orderings_Oord__class_Oless__eq( tc_fun( Z, tc_HOL_Obool ),
% 0.93/1.55 c_Groups_Ominus__class_Ominus( tc_fun( Z, tc_HOL_Obool ), Y, T ),
% 0.93/1.55 c_Groups_Ominus__class_Ominus( tc_fun( Z, tc_HOL_Obool ), X, U ) ) }.
% 0.93/1.55 { ! c_Orderings_Oord__class_Oless__eq( tc_fun( Z, tc_HOL_Obool ), Y, X ), !
% 0.93/1.55 c_Orderings_Oord__class_Oless__eq( tc_fun( Z, tc_HOL_Obool ), X, T ),
% 0.93/1.55 c_Groups_Ominus__class_Ominus( tc_fun( Z, tc_HOL_Obool ), X,
% 0.93/1.55 c_Groups_Ominus__class_Ominus( tc_fun( Z, tc_HOL_Obool ), T, Y ) ) = Y }
% 0.93/1.55 .
% 0.93/1.55 { c_Orderings_Oord__class_Oless__eq( tc_fun( tc_fun( Z, tc_HOL_Obool ),
% 0.93/1.55 tc_HOL_Obool ), c_Lattices_Osemilattice__sup__class_Osup( tc_fun( tc_fun
% 0.93/1.55 ( Z, tc_HOL_Obool ), tc_HOL_Obool ), c_Set_OPow( Z, Y ), c_Set_OPow( Z, X
% 0.93/1.55 ) ), c_Set_OPow( Z, c_Lattices_Osemilattice__sup__class_Osup( tc_fun( Z
% 0.93/1.55 , tc_HOL_Obool ), Y, X ) ) ) }.
% 0.93/1.55 { c_RComplete_Onatceiling( c_RealDef_Oreal( tc_Nat_Onat, X ) ) = X }.
% 0.93/1.55 { ! c_Orderings_Oord__class_Oless( tc_RealDef_Oreal, c_RealDef_Oreal(
% 0.93/1.55 tc_Nat_Onat, Y ), c_RealDef_Oreal( tc_Nat_Onat, X ) ),
% 0.93/1.55 c_Orderings_Oord__class_Oless( tc_Nat_Onat, Y, X ) }.
% 0.93/1.55 { ! c_Orderings_Oord__class_Oless( tc_Nat_Onat, Y, X ),
% 0.93/1.55 c_Orderings_Oord__class_Oless( tc_RealDef_Oreal, c_RealDef_Oreal(
% 0.93/1.55 tc_Nat_Onat, Y ), c_RealDef_Oreal( tc_Nat_Onat, X ) ) }.
% 0.93/1.55 { ! c_Orderings_Oord__class_Oless__eq( tc_RealDef_Oreal, c_RealDef_Oreal(
% 0.93/1.55 tc_Nat_Onat, Y ), c_RealDef_Oreal( tc_Nat_Onat, X ) ),
% 0.93/1.55 c_Orderings_Oord__class_Oless__eq( tc_Nat_Onat, Y, X ) }.
% 0.93/1.55 { ! c_Orderings_Oord__class_Oless__eq( tc_Nat_Onat, Y, X ),
% 0.93/1.55 c_Orderings_Oord__class_Oless__eq( tc_RealDef_Oreal, c_RealDef_Oreal(
% 0.93/1.55 tc_Nat_Onat, Y ), c_RealDef_Oreal( tc_Nat_Onat, X ) ) }.
% 0.93/1.55 { ! c_member( Z, Y, X ), c_Lattices_Osemilattice__inf__class_Oinf( tc_fun(
% 0.93/1.55 Z, tc_HOL_Obool ), c_Set_Oinsert( Z, Y, T ), X ) = c_Set_Oinsert( Z, Y,
% 0.93/1.55 c_Lattices_Osemilattice__inf__class_Oinf( tc_fun( Z, tc_HOL_Obool ), T, X
% 0.93/1.55 ) ) }.
% 0.93/1.55 { ! c_member( Z, Y, X ), c_Lattices_Osemilattice__inf__class_Oinf( tc_fun(
% 0.93/1.55 Z, tc_HOL_Obool ), X, c_Set_Oinsert( Z, Y, T ) ) = c_Set_Oinsert( Z, Y,
% 0.93/1.55 c_Lattices_Osemilattice__inf__class_Oinf( tc_fun( Z, tc_HOL_Obool ), X, T
% 0.93/1.55 ) ) }.
% 0.93/1.55 { c_member( Z, Y, X ), c_Lattices_Osemilattice__inf__class_Oinf( tc_fun( Z
% 0.93/1.55 , tc_HOL_Obool ), c_Set_Oinsert( Z, Y, T ), X ) =
% 0.93/1.55 c_Lattices_Osemilattice__inf__class_Oinf( tc_fun( Z, tc_HOL_Obool ), T, X
% 0.93/1.55 ) }.
% 0.93/1.55 { c_member( Z, Y, X ), c_Lattices_Osemilattice__inf__class_Oinf( tc_fun( Z
% 0.93/1.55 , tc_HOL_Obool ), X, c_Set_Oinsert( Z, Y, T ) ) =
% 0.93/1.55 c_Lattices_Osemilattice__inf__class_Oinf( tc_fun( Z, tc_HOL_Obool ), X, T
% 0.93/1.56 ) }.
% 0.93/1.56 { ! c_member( T, Z, Y ), c_Lattices_Osemilattice__inf__class_Oinf( tc_fun(
% 0.93/1.56 T, tc_HOL_Obool ), c_Set_Oinsert( T, Z, X ), Y ) = c_Set_Oinsert( T, Z,
% 0.93/1.56 c_Lattices_Osemilattice__inf__class_Oinf( tc_fun( T, tc_HOL_Obool ), X, Y
% 0.93/1.56 ) ) }.
% 0.93/1.56 { c_member( T, Z, Y ), c_Lattices_Osemilattice__inf__class_Oinf( tc_fun( T
% 0.93/1.56 , tc_HOL_Obool ), c_Set_Oinsert( T, Z, X ), Y ) =
% 0.93/1.56 c_Lattices_Osemilattice__inf__class_Oinf( tc_fun( T, tc_HOL_Obool ), X, Y
% 0.93/1.56 ) }.
% 0.93/1.56 { ! c_member( T, Z, Y ), c_Lattices_Osemilattice__inf__class_Oinf( tc_fun(
% 0.93/1.56 T, tc_HOL_Obool ), Y, c_Set_Oinsert( T, Z, X ) ) = c_Set_Oinsert( T, Z,
% 0.93/1.56 c_Lattices_Osemilattice__inf__class_Oinf( tc_fun( T, tc_HOL_Obool ), Y, X
% 0.93/1.56 ) ) }.
% 0.93/1.56 { c_member( T, Z, Y ), c_Lattices_Osemilattice__inf__class_Oinf( tc_fun( T
% 0.93/1.56 , tc_HOL_Obool ), Y, c_Set_Oinsert( T, Z, X ) ) =
% 0.93/1.56 c_Lattices_Osemilattice__inf__class_Oinf( tc_fun( T, tc_HOL_Obool ), Y, X
% 0.93/1.56 ) }.
% 0.93/1.56 { ! c_member( Z, Y, X ), c_Groups_Ominus__class_Ominus( tc_fun( Z,
% 0.93/1.56 tc_HOL_Obool ), c_Set_Oinsert( Z, Y, T ), X ) =
% 0.93/1.56 c_Groups_Ominus__class_Ominus( tc_fun( Z, tc_HOL_Obool ), T, X ) }.
% 0.93/1.56 { ! c_member( T, Z, Y ), c_Groups_Ominus__class_Ominus( tc_fun( T,
% 0.93/1.56 tc_HOL_Obool ), c_Set_Oinsert( T, Z, X ), Y ) =
% 0.93/1.56 c_Groups_Ominus__class_Ominus( tc_fun( T, tc_HOL_Obool ), X, Y ) }.
% 0.93/1.56 { c_member( T, Z, Y ), c_Groups_Ominus__class_Ominus( tc_fun( T,
% 0.93/1.56 tc_HOL_Obool ), c_Set_Oinsert( T, Z, X ), Y ) = c_Set_Oinsert( T, Z,
% 0.93/1.56 c_Groups_Ominus__class_Ominus( tc_fun( T, tc_HOL_Obool ), X, Y ) ) }.
% 0.93/1.56 { ! class_Complete__Lattice_Ocomplete__lattice( X ),
% 0.93/1.56 c_Complete__Lattice_OSup__class_OSup( X, c_Set_Oinsert( X, Z, Y ) ) =
% 0.93/1.56 c_Lattices_Osemilattice__sup__class_Osup( X, Z,
% 0.93/1.56 c_Complete__Lattice_OSup__class_OSup( X, Y ) ) }.
% 0.93/1.56 { c_Set_Oinsert( Z, Y, X ) = c_Lattices_Osemilattice__sup__class_Osup(
% 0.93/1.56 tc_fun( Z, tc_HOL_Obool ), c_Set_Oinsert( Z, Y,
% 0.93/1.56 c_Orderings_Obot__class_Obot( tc_fun( Z, tc_HOL_Obool ) ) ), X ) }.
% 0.93/1.56 { c_Set_Oinsert( Z, Y, c_Groups_Ominus__class_Ominus( tc_fun( Z,
% 0.93/1.56 tc_HOL_Obool ), X, c_Set_Oinsert( Z, Y, c_Orderings_Obot__class_Obot(
% 0.93/1.56 tc_fun( Z, tc_HOL_Obool ) ) ) ) ) = c_Set_Oinsert( Z, Y, X ) }.
% 0.93/1.56 { c_Groups_Ominus__class_Ominus( tc_fun( T, tc_HOL_Obool ), Z,
% 0.93/1.56 c_Set_Oinsert( T, Y, X ) ) = c_Groups_Ominus__class_Ominus( tc_fun( T,
% 0.93/1.56 tc_HOL_Obool ), c_Groups_Ominus__class_Ominus( tc_fun( T, tc_HOL_Obool )
% 0.93/1.56 , Z, c_Set_Oinsert( T, Y, c_Orderings_Obot__class_Obot( tc_fun( T,
% 0.93/1.56 tc_HOL_Obool ) ) ) ), X ) }.
% 0.93/1.56 { c_Groups_Ominus__class_Ominus( tc_fun( T, tc_HOL_Obool ), Z,
% 0.93/1.56 c_Set_Oinsert( T, Y, X ) ) = c_Groups_Ominus__class_Ominus( tc_fun( T,
% 0.93/1.56 tc_HOL_Obool ), c_Groups_Ominus__class_Ominus( tc_fun( T, tc_HOL_Obool )
% 0.93/1.56 , Z, X ), c_Set_Oinsert( T, Y, c_Orderings_Obot__class_Obot( tc_fun( T,
% 0.93/1.56 tc_HOL_Obool ) ) ) ) }.
% 0.93/1.56 { ! class_Complete__Lattice_Ocomplete__lattice( X ),
% 0.93/1.56 c_Complete__Lattice_OInf__class_OInf( X, c_Set_Oinsert( X, Z, Y ) ) =
% 0.93/1.56 c_Lattices_Osemilattice__inf__class_Oinf( X, Z,
% 0.93/1.56 c_Complete__Lattice_OInf__class_OInf( X, Y ) ) }.
% 0.93/1.56 { c_Groups_Ominus__class_Ominus( tc_fun( Y, tc_HOL_Obool ), X,
% 0.93/1.56 c_Orderings_Otop__class_Otop( tc_fun( Y, tc_HOL_Obool ) ) ) =
% 0.93/1.56 c_Orderings_Obot__class_Obot( tc_fun( Y, tc_HOL_Obool ) ) }.
% 0.93/1.56 { ! c_Lattices_Osemilattice__inf__class_Oinf( tc_fun( Z, tc_HOL_Obool ),
% 0.93/1.56 c_Complete__Lattice_OSup__class_OSup( tc_fun( Z, tc_HOL_Obool ), Y ), X )
% 0.93/1.56 = c_Orderings_Obot__class_Obot( tc_fun( Z, tc_HOL_Obool ) ), ! c_member
% 0.93/1.56 ( tc_fun( Z, tc_HOL_Obool ), T, Y ),
% 0.93/1.56 c_Lattices_Osemilattice__inf__class_Oinf( tc_fun( Z, tc_HOL_Obool ), T, X
% 0.93/1.56 ) = c_Orderings_Obot__class_Obot( tc_fun( Z, tc_HOL_Obool ) ) }.
% 0.93/1.56 { c_member( tc_fun( Z, tc_HOL_Obool ), skol48( T, Y, Z ), Y ),
% 0.93/1.56 c_Lattices_Osemilattice__inf__class_Oinf( tc_fun( Z, tc_HOL_Obool ),
% 0.93/1.56 c_Complete__Lattice_OSup__class_OSup( tc_fun( Z, tc_HOL_Obool ), Y ), X )
% 0.93/1.56 = c_Orderings_Obot__class_Obot( tc_fun( Z, tc_HOL_Obool ) ) }.
% 0.93/1.56 { ! c_Lattices_Osemilattice__inf__class_Oinf( tc_fun( Z, tc_HOL_Obool ),
% 0.93/1.56 skol48( X, Y, Z ), X ) = c_Orderings_Obot__class_Obot( tc_fun( Z,
% 0.93/1.56 tc_HOL_Obool ) ), c_Lattices_Osemilattice__inf__class_Oinf( tc_fun( Z,
% 0.93/1.56 tc_HOL_Obool ), c_Complete__Lattice_OSup__class_OSup( tc_fun( Z,
% 0.93/1.56 tc_HOL_Obool ), Y ), X ) = c_Orderings_Obot__class_Obot( tc_fun( Z,
% 0.93/1.56 tc_HOL_Obool ) ) }.
% 0.93/1.56 { c_Orderings_Oord__class_Oless__eq( tc_RealDef_Oreal, X, c_RealDef_Oreal(
% 0.93/1.56 tc_Nat_Onat, c_RComplete_Onatceiling( X ) ) ) }.
% 0.93/1.56 { c_Complete__Lattice_OSup__class_OSup( tc_fun( Z, tc_HOL_Obool ),
% 0.93/1.56 c_Set_Oinsert( tc_fun( Z, tc_HOL_Obool ), Y, X ) ) =
% 0.93/1.56 c_Lattices_Osemilattice__sup__class_Osup( tc_fun( Z, tc_HOL_Obool ), Y,
% 0.93/1.56 c_Complete__Lattice_OSup__class_OSup( tc_fun( Z, tc_HOL_Obool ), X ) ) }
% 0.93/1.56 .
% 0.93/1.56 { c_Complete__Lattice_OInf__class_OInf( tc_fun( Z, tc_HOL_Obool ),
% 0.93/1.56 c_Set_Oinsert( tc_fun( Z, tc_HOL_Obool ), Y, X ) ) =
% 0.93/1.56 c_Lattices_Osemilattice__inf__class_Oinf( tc_fun( Z, tc_HOL_Obool ), Y,
% 0.93/1.56 c_Complete__Lattice_OInf__class_OInf( tc_fun( Z, tc_HOL_Obool ), X ) ) }
% 0.93/1.56 .
% 0.93/1.56 { ! class_Complete__Lattice_Ocomplete__lattice( X ),
% 0.93/1.56 c_Complete__Lattice_OSup__class_OSup( X, c_Set_Oinsert( X, Z,
% 0.93/1.56 c_Set_Oinsert( X, Y, c_Orderings_Obot__class_Obot( tc_fun( X,
% 0.93/1.56 tc_HOL_Obool ) ) ) ) ) = c_Lattices_Osemilattice__sup__class_Osup( X, Z,
% 0.93/1.56 Y ) }.
% 0.93/1.56 { ! class_Complete__Lattice_Ocomplete__lattice( X ),
% 0.93/1.56 c_Complete__Lattice_OInf__class_OInf( X, c_Set_Oinsert( X, Z,
% 0.93/1.56 c_Set_Oinsert( X, Y, c_Orderings_Obot__class_Obot( tc_fun( X,
% 0.93/1.56 tc_HOL_Obool ) ) ) ) ) = c_Lattices_Osemilattice__inf__class_Oinf( X, Z,
% 0.93/1.56 Y ) }.
% 0.93/1.56 { ! c_member( Z, Y, X ), c_Set_Oinsert( Z, Y, c_Groups_Ominus__class_Ominus
% 0.93/1.56 ( tc_fun( Z, tc_HOL_Obool ), X, c_Set_Oinsert( Z, Y,
% 0.93/1.56 c_Orderings_Obot__class_Obot( tc_fun( Z, tc_HOL_Obool ) ) ) ) ) = X }.
% 0.93/1.56 { c_member( Z, Y, X ), c_Groups_Ominus__class_Ominus( tc_fun( Z,
% 0.93/1.56 tc_HOL_Obool ), c_Set_Oinsert( Z, Y, X ), c_Set_Oinsert( Z, Y,
% 0.93/1.56 c_Orderings_Obot__class_Obot( tc_fun( Z, tc_HOL_Obool ) ) ) ) = X }.
% 0.93/1.56 { ! class_Lattices_Olattice( X ), c_Orderings_Oord__class_Oless__eq( X,
% 0.93/1.56 c_Lattices_Osemilattice__sup__class_Osup( X,
% 0.93/1.56 c_Lattices_Osemilattice__inf__class_Oinf( X, T, Z ),
% 0.93/1.56 c_Lattices_Osemilattice__inf__class_Oinf( X, T, Y ) ),
% 0.93/1.56 c_Lattices_Osemilattice__inf__class_Oinf( X, T,
% 0.93/1.56 c_Lattices_Osemilattice__sup__class_Osup( X, Z, Y ) ) ) }.
% 0.93/1.56 { ! class_Lattices_Olattice( X ), c_Orderings_Oord__class_Oless__eq( X,
% 0.93/1.56 c_Lattices_Osemilattice__sup__class_Osup( X, T,
% 0.93/1.56 c_Lattices_Osemilattice__inf__class_Oinf( X, Z, Y ) ),
% 0.93/1.56 c_Lattices_Osemilattice__inf__class_Oinf( X,
% 0.93/1.56 c_Lattices_Osemilattice__sup__class_Osup( X, T, Z ),
% 0.93/1.56 c_Lattices_Osemilattice__sup__class_Osup( X, T, Y ) ) ) }.
% 0.93/1.56 { ! class_Lattices_Olattice( X ), hAPP(
% 0.93/1.56 c_Lattices_Osemilattice__inf__class_Oinf( tc_fun( U, X ), T, Z ), Y ) =
% 0.93/1.56 c_Lattices_Osemilattice__inf__class_Oinf( X, hAPP( T, Y ), hAPP( Z, Y ) )
% 0.93/1.56 }.
% 0.93/1.56 { ! class_Lattices_Olattice( X ), hAPP(
% 0.93/1.56 c_Lattices_Osemilattice__sup__class_Osup( tc_fun( U, X ), T, Z ), Y ) =
% 0.93/1.56 c_Lattices_Osemilattice__sup__class_Osup( X, hAPP( T, Y ), hAPP( Z, Y ) )
% 0.93/1.56 }.
% 0.93/1.56 { ! class_Lattices_Obounded__lattice__top( X ),
% 0.93/1.56 c_Lattices_Osemilattice__inf__class_Oinf( X, c_Orderings_Otop__class_Otop
% 0.93/1.56 ( X ), Y ) = Y }.
% 0.93/1.56 { ! class_Lattices_Obounded__lattice__top( X ),
% 0.93/1.56 c_Lattices_Osemilattice__inf__class_Oinf( X, Y,
% 0.93/1.56 c_Orderings_Otop__class_Otop( X ) ) = Y }.
% 0.93/1.56 { ! class_Lattices_Obounded__lattice__top( X ), !
% 0.93/1.56 c_Lattices_Osemilattice__inf__class_Oinf( X, Z, Y ) =
% 0.93/1.56 c_Orderings_Otop__class_Otop( X ), Z = c_Orderings_Otop__class_Otop( X )
% 0.93/1.56 }.
% 0.93/1.56 { ! class_Lattices_Obounded__lattice__top( X ), !
% 0.93/1.56 c_Lattices_Osemilattice__inf__class_Oinf( X, Z, Y ) =
% 0.93/1.56 c_Orderings_Otop__class_Otop( X ), Y = c_Orderings_Otop__class_Otop( X )
% 0.93/1.56 }.
% 0.93/1.56 { ! class_Lattices_Obounded__lattice__top( X ), ! Z =
% 0.93/1.56 c_Orderings_Otop__class_Otop( X ), ! Y = c_Orderings_Otop__class_Otop( X
% 0.93/1.56 ), c_Lattices_Osemilattice__inf__class_Oinf( X, Z, Y ) =
% 0.93/1.56 c_Orderings_Otop__class_Otop( X ) }.
% 0.93/1.56 { ! class_Lattices_Osemilattice__sup( X ),
% 0.93/1.56 c_Lattices_Osemilattice__sup__class_Osup( X,
% 0.93/1.56 c_Lattices_Osemilattice__sup__class_Osup( X, T, Z ), Y ) =
% 0.93/1.56 c_Lattices_Osemilattice__sup__class_Osup( X, T,
% 0.93/1.56 c_Lattices_Osemilattice__sup__class_Osup( X, Z, Y ) ) }.
% 0.93/1.56 { ! class_Lattices_Olattice( X ), c_Lattices_Osemilattice__sup__class_Osup
% 0.93/1.56 ( X, c_Lattices_Osemilattice__sup__class_Osup( X, T, Z ), Y ) =
% 0.93/1.56 c_Lattices_Osemilattice__sup__class_Osup( X, T,
% 0.93/1.56 c_Lattices_Osemilattice__sup__class_Osup( X, Z, Y ) ) }.
% 0.93/1.56 { ! class_Lattices_Osemilattice__sup( X ),
% 0.93/1.56 c_Lattices_Osemilattice__sup__class_Osup( X,
% 0.93/1.56 c_Lattices_Osemilattice__sup__class_Osup( X, T, Z ), Y ) =
% 0.93/1.56 c_Lattices_Osemilattice__sup__class_Osup( X, T,
% 0.93/1.56 c_Lattices_Osemilattice__sup__class_Osup( X, Z, Y ) ) }.
% 0.93/1.56 { ! class_Lattices_Osemilattice__sup( X ),
% 0.93/1.56 c_Lattices_Osemilattice__sup__class_Osup( X, T,
% 0.93/1.56 c_Lattices_Osemilattice__sup__class_Osup( X, Z, Y ) ) =
% 0.93/1.56 c_Lattices_Osemilattice__sup__class_Osup( X, Z,
% 0.93/1.56 c_Lattices_Osemilattice__sup__class_Osup( X, T, Y ) ) }.
% 0.93/1.56 { ! class_Lattices_Olattice( X ), c_Lattices_Osemilattice__sup__class_Osup
% 0.93/1.56 ( X, T, c_Lattices_Osemilattice__sup__class_Osup( X, Z, Y ) ) =
% 0.93/1.56 c_Lattices_Osemilattice__sup__class_Osup( X, Z,
% 0.93/1.56 c_Lattices_Osemilattice__sup__class_Osup( X, T, Y ) ) }.
% 0.93/1.56 { ! class_Lattices_Osemilattice__sup( X ),
% 0.93/1.56 c_Lattices_Osemilattice__sup__class_Osup( X, T,
% 0.93/1.56 c_Lattices_Osemilattice__sup__class_Osup( X, Z, Y ) ) =
% 0.93/1.56 c_Lattices_Osemilattice__sup__class_Osup( X, Z,
% 0.93/1.56 c_Lattices_Osemilattice__sup__class_Osup( X, T, Y ) ) }.
% 0.93/1.56 { ! class_Lattices_Osemilattice__sup( X ),
% 0.93/1.56 c_Lattices_Osemilattice__sup__class_Osup( X, Z,
% 0.93/1.56 c_Lattices_Osemilattice__sup__class_Osup( X, Z, Y ) ) =
% 0.93/1.56 c_Lattices_Osemilattice__sup__class_Osup( X, Z, Y ) }.
% 0.93/1.56 { ! class_Lattices_Olattice( X ), c_Lattices_Osemilattice__sup__class_Osup
% 0.93/1.56 ( X, Z, c_Lattices_Osemilattice__sup__class_Osup( X, Z, Y ) ) =
% 0.93/1.56 c_Lattices_Osemilattice__sup__class_Osup( X, Z, Y ) }.
% 0.93/1.56 { ! class_Lattices_Osemilattice__sup( X ),
% 0.93/1.56 c_Lattices_Osemilattice__sup__class_Osup( X, Z,
% 0.93/1.56 c_Lattices_Osemilattice__sup__class_Osup( X, Z, Y ) ) =
% 0.93/1.56 c_Lattices_Osemilattice__sup__class_Osup( X, Z, Y ) }.
% 0.93/1.56 { ! class_Lattices_Osemilattice__sup( X ),
% 0.93/1.56 c_Lattices_Osemilattice__sup__class_Osup( X, Z, Y ) =
% 0.93/1.56 c_Lattices_Osemilattice__sup__class_Osup( X, Y, Z ) }.
% 0.93/1.56 { ! class_Lattices_Olattice( X ), c_Lattices_Osemilattice__sup__class_Osup
% 0.93/1.56 ( X, Z, Y ) = c_Lattices_Osemilattice__sup__class_Osup( X, Y, Z ) }.
% 0.93/1.56 { ! class_Lattices_Osemilattice__sup( X ),
% 0.93/1.56 c_Lattices_Osemilattice__sup__class_Osup( X, Z, Y ) =
% 0.93/1.56 c_Lattices_Osemilattice__sup__class_Osup( X, Y, Z ) }.
% 0.93/1.56 { ! class_Lattices_Osemilattice__sup( X ),
% 0.93/1.56 c_Lattices_Osemilattice__sup__class_Osup( X, Y, Y ) = Y }.
% 0.93/1.56 { ! class_Lattices_Osemilattice__sup( X ),
% 0.93/1.56 c_Lattices_Osemilattice__sup__class_Osup( X, Y, Y ) = Y }.
% 0.93/1.56 { ! class_Lattices_Osemilattice__inf( X ),
% 0.93/1.56 c_Lattices_Osemilattice__inf__class_Oinf( X,
% 0.93/1.56 c_Lattices_Osemilattice__inf__class_Oinf( X, T, Z ), Y ) =
% 0.93/1.56 c_Lattices_Osemilattice__inf__class_Oinf( X, T,
% 0.93/1.56 c_Lattices_Osemilattice__inf__class_Oinf( X, Z, Y ) ) }.
% 0.93/1.56 { ! class_Lattices_Olattice( X ), c_Lattices_Osemilattice__inf__class_Oinf
% 0.93/1.56 ( X, c_Lattices_Osemilattice__inf__class_Oinf( X, T, Z ), Y ) =
% 0.93/1.56 c_Lattices_Osemilattice__inf__class_Oinf( X, T,
% 0.93/1.56 c_Lattices_Osemilattice__inf__class_Oinf( X, Z, Y ) ) }.
% 0.93/1.56 { ! class_Lattices_Osemilattice__inf( X ),
% 0.93/1.56 c_Lattices_Osemilattice__inf__class_Oinf( X,
% 0.93/1.56 c_Lattices_Osemilattice__inf__class_Oinf( X, T, Z ), Y ) =
% 0.93/1.56 c_Lattices_Osemilattice__inf__class_Oinf( X, T,
% 0.93/1.56 c_Lattices_Osemilattice__inf__class_Oinf( X, Z, Y ) ) }.
% 0.93/1.56 { ! class_Lattices_Osemilattice__inf( X ),
% 0.93/1.56 c_Lattices_Osemilattice__inf__class_Oinf( X, T,
% 0.93/1.56 c_Lattices_Osemilattice__inf__class_Oinf( X, Z, Y ) ) =
% 0.93/1.56 c_Lattices_Osemilattice__inf__class_Oinf( X, Z,
% 0.93/1.56 c_Lattices_Osemilattice__inf__class_Oinf( X, T, Y ) ) }.
% 0.93/1.56 { ! class_Lattices_Olattice( X ), c_Lattices_Osemilattice__inf__class_Oinf
% 0.93/1.56 ( X, T, c_Lattices_Osemilattice__inf__class_Oinf( X, Z, Y ) ) =
% 0.93/1.56 c_Lattices_Osemilattice__inf__class_Oinf( X, Z,
% 0.93/1.56 c_Lattices_Osemilattice__inf__class_Oinf( X, T, Y ) ) }.
% 0.93/1.56 { ! class_Lattices_Osemilattice__inf( X ),
% 0.93/1.56 c_Lattices_Osemilattice__inf__class_Oinf( X, T,
% 0.93/1.56 c_Lattices_Osemilattice__inf__class_Oinf( X, Z, Y ) ) =
% 0.93/1.56 c_Lattices_Osemilattice__inf__class_Oinf( X, Z,
% 0.93/1.56 c_Lattices_Osemilattice__inf__class_Oinf( X, T, Y ) ) }.
% 0.93/1.56 { ! class_Lattices_Osemilattice__inf( X ),
% 0.93/1.56 c_Lattices_Osemilattice__inf__class_Oinf( X, Z,
% 0.93/1.56 c_Lattices_Osemilattice__inf__class_Oinf( X, Z, Y ) ) =
% 0.93/1.56 c_Lattices_Osemilattice__inf__class_Oinf( X, Z, Y ) }.
% 0.93/1.56 { ! class_Lattices_Olattice( X ), c_Lattices_Osemilattice__inf__class_Oinf
% 0.93/1.56 ( X, Z, c_Lattices_Osemilattice__inf__class_Oinf( X, Z, Y ) ) =
% 0.93/1.56 c_Lattices_Osemilattice__inf__class_Oinf( X, Z, Y ) }.
% 0.93/1.56 { ! class_Lattices_Osemilattice__inf( X ),
% 0.93/1.56 c_Lattices_Osemilattice__inf__class_Oinf( X, Z,
% 0.93/1.56 c_Lattices_Osemilattice__inf__class_Oinf( X, Z, Y ) ) =
% 0.93/1.56 c_Lattices_Osemilattice__inf__class_Oinf( X, Z, Y ) }.
% 0.93/1.56 { ! class_Lattices_Osemilattice__inf( X ),
% 0.93/1.56 c_Lattices_Osemilattice__inf__class_Oinf( X, Z, Y ) =
% 0.93/1.56 c_Lattices_Osemilattice__inf__class_Oinf( X, Y, Z ) }.
% 0.93/1.56 { ! class_Lattices_Olattice( X ), c_Lattices_Osemilattice__inf__class_Oinf
% 0.93/1.56 ( X, Z, Y ) = c_Lattices_Osemilattice__inf__class_Oinf( X, Y, Z ) }.
% 0.93/1.56 { ! class_Lattices_Osemilattice__inf( X ),
% 0.93/1.56 c_Lattices_Osemilattice__inf__class_Oinf( X, Z, Y ) =
% 0.93/1.56 c_Lattices_Osemilattice__inf__class_Oinf( X, Y, Z ) }.
% 0.93/1.56 { ! class_Lattices_Osemilattice__inf( X ),
% 0.93/1.56 c_Lattices_Osemilattice__inf__class_Oinf( X, Y, Y ) = Y }.
% 0.93/1.56 { ! class_Lattices_Osemilattice__inf( X ),
% 0.93/1.56 c_Lattices_Osemilattice__inf__class_Oinf( X, Y, Y ) = Y }.
% 0.93/1.56 { ! class_Lattices_Osemilattice__sup( X ), !
% 0.93/1.56 c_Orderings_Oord__class_Oless__eq( X,
% 0.93/1.56 c_Lattices_Osemilattice__sup__class_Osup( X, T, Z ), Y ),
% 0.93/1.56 c_Orderings_Oord__class_Oless__eq( X, T, Y ) }.
% 0.93/1.56 { ! class_Lattices_Osemilattice__sup( X ), !
% 0.93/1.56 c_Orderings_Oord__class_Oless__eq( X,
% 0.93/1.56 c_Lattices_Osemilattice__sup__class_Osup( X, T, Z ), Y ),
% 0.93/1.56 c_Orderings_Oord__class_Oless__eq( X, Z, Y ) }.
% 0.93/1.56 { ! class_Lattices_Osemilattice__sup( X ), !
% 0.93/1.56 c_Orderings_Oord__class_Oless__eq( X, Z, Y ), !
% 0.93/1.56 c_Orderings_Oord__class_Oless__eq( X, U, T ),
% 0.93/1.56 c_Orderings_Oord__class_Oless__eq( X,
% 0.93/1.56 c_Lattices_Osemilattice__sup__class_Osup( X, Z, U ),
% 0.93/1.56 c_Lattices_Osemilattice__sup__class_Osup( X, Y, T ) ) }.
% 0.93/1.56 { ! class_Lattices_Osemilattice__sup( X ), !
% 0.93/1.56 c_Orderings_Oord__class_Oless__eq( X, Z, Y ), !
% 0.93/1.56 c_Orderings_Oord__class_Oless__eq( X, T, Y ),
% 0.93/1.56 c_Orderings_Oord__class_Oless__eq( X,
% 0.93/1.56 c_Lattices_Osemilattice__sup__class_Osup( X, Z, T ), Y ) }.
% 0.93/1.56 { ! class_Lattices_Osemilattice__sup( X ), !
% 0.93/1.56 c_Orderings_Oord__class_Oless__eq( X, Z, Y ), !
% 0.93/1.56 c_Orderings_Oord__class_Oless__eq( X, T, Y ),
% 0.93/1.56 c_Orderings_Oord__class_Oless__eq( X,
% 0.93/1.56 c_Lattices_Osemilattice__sup__class_Osup( X, Z, T ), Y ) }.
% 0.93/1.56 { ! class_Lattices_Osemilattice__sup( X ), !
% 0.93/1.56 c_Orderings_Oord__class_Oless__eq( X, Z, Y ),
% 0.93/1.56 c_Lattices_Osemilattice__sup__class_Osup( X, Y, Z ) = Y }.
% 0.93/1.56 { ! class_Lattices_Osemilattice__sup( X ), !
% 0.93/1.56 c_Orderings_Oord__class_Oless__eq( X, Z, Y ),
% 0.93/1.56 c_Lattices_Osemilattice__sup__class_Osup( X, Z, Y ) = Y }.
% 0.93/1.56 { ! class_Lattices_Osemilattice__sup( X ), !
% 0.93/1.56 c_Orderings_Oord__class_Oless__eq( X, Z, Y ),
% 0.93/1.56 c_Orderings_Oord__class_Oless__eq( X, Z,
% 0.93/1.56 c_Lattices_Osemilattice__sup__class_Osup( X, T, Y ) ) }.
% 0.93/1.56 { ! class_Lattices_Osemilattice__sup( X ), !
% 0.93/1.56 c_Orderings_Oord__class_Oless__eq( X, Z, Y ),
% 0.93/1.56 c_Orderings_Oord__class_Oless__eq( X, Z,
% 0.93/1.56 c_Lattices_Osemilattice__sup__class_Osup( X, Y, T ) ) }.
% 0.93/1.56 { ! class_Lattices_Osemilattice__sup( X ), !
% 0.93/1.56 c_Orderings_Oord__class_Oless__eq( X,
% 0.93/1.56 c_Lattices_Osemilattice__sup__class_Osup( X, T, Z ), Y ),
% 0.93/1.56 c_Orderings_Oord__class_Oless__eq( X, T, Y ) }.
% 0.93/1.56 { ! class_Lattices_Osemilattice__sup( X ), !
% 0.93/1.56 c_Orderings_Oord__class_Oless__eq( X,
% 0.93/1.56 c_Lattices_Osemilattice__sup__class_Osup( X, T, Z ), Y ),
% 0.93/1.56 c_Orderings_Oord__class_Oless__eq( X, Z, Y ) }.
% 0.93/1.56 { ! class_Lattices_Osemilattice__sup( X ), !
% 0.93/1.56 c_Orderings_Oord__class_Oless__eq( X, T, Y ), !
% 0.93/1.56 c_Orderings_Oord__class_Oless__eq( X, Z, Y ),
% 0.93/1.56 c_Orderings_Oord__class_Oless__eq( X,
% 0.93/1.56 c_Lattices_Osemilattice__sup__class_Osup( X, T, Z ), Y ) }.
% 0.93/1.56 { ! class_Lattices_Osemilattice__sup( X ), !
% 0.93/1.56 c_Orderings_Oord__class_Oless__eq( X, Z, Y ),
% 0.93/1.56 c_Lattices_Osemilattice__sup__class_Osup( X, Z, Y ) = Y }.
% 0.93/1.56 { ! class_Lattices_Osemilattice__sup( X ), !
% 0.93/1.56 c_Lattices_Osemilattice__sup__class_Osup( X, Z, Y ) = Y,
% 0.93/1.56 c_Orderings_Oord__class_Oless__eq( X, Z, Y ) }.
% 0.93/1.56 { ! class_Lattices_Osemilattice__sup( X ),
% 0.93/1.56 c_Orderings_Oord__class_Oless__eq( X, Z,
% 0.93/1.56 c_Lattices_Osemilattice__sup__class_Osup( X, Y, Z ) ) }.
% 0.93/1.56 { ! class_Lattices_Olattice( X ), c_Orderings_Oord__class_Oless__eq( X, Z,
% 0.93/1.56 c_Lattices_Osemilattice__sup__class_Osup( X, Y, Z ) ) }.
% 0.93/1.56 { ! class_Lattices_Osemilattice__sup( X ),
% 0.93/1.56 c_Orderings_Oord__class_Oless__eq( X, Z,
% 0.93/1.56 c_Lattices_Osemilattice__sup__class_Osup( X, Z, Y ) ) }.
% 0.93/1.56 { ! class_Lattices_Olattice( X ), c_Orderings_Oord__class_Oless__eq( X, Z,
% 0.93/1.56 c_Lattices_Osemilattice__sup__class_Osup( X, Z, Y ) ) }.
% 0.93/1.56 { ! class_Lattices_Osemilattice__inf( X ), !
% 0.93/1.56 c_Orderings_Oord__class_Oless__eq( X, T,
% 0.93/1.56 c_Lattices_Osemilattice__inf__class_Oinf( X, Z, Y ) ),
% 0.93/1.56 c_Orderings_Oord__class_Oless__eq( X, T, Z ) }.
% 0.93/1.56 { ! class_Lattices_Osemilattice__inf( X ), !
% 0.93/1.56 c_Orderings_Oord__class_Oless__eq( X, T,
% 0.93/1.56 c_Lattices_Osemilattice__inf__class_Oinf( X, Z, Y ) ),
% 0.93/1.56 c_Orderings_Oord__class_Oless__eq( X, T, Y ) }.
% 0.93/1.56 { ! class_Lattices_Osemilattice__inf( X ), !
% 0.93/1.56 c_Orderings_Oord__class_Oless__eq( X, Z, Y ), !
% 0.93/1.56 c_Orderings_Oord__class_Oless__eq( X, U, T ),
% 0.93/1.56 c_Orderings_Oord__class_Oless__eq( X,
% 0.93/1.56 c_Lattices_Osemilattice__inf__class_Oinf( X, Z, U ),
% 0.93/1.56 c_Lattices_Osemilattice__inf__class_Oinf( X, Y, T ) ) }.
% 0.93/1.56 { ! class_Lattices_Osemilattice__inf( X ), !
% 0.93/1.56 c_Orderings_Oord__class_Oless__eq( X, Z, Y ), !
% 0.93/1.56 c_Orderings_Oord__class_Oless__eq( X, Z, T ),
% 0.93/1.56 c_Orderings_Oord__class_Oless__eq( X, Z,
% 0.93/1.56 c_Lattices_Osemilattice__inf__class_Oinf( X, Y, T ) ) }.
% 0.93/1.56 { ! class_Lattices_Osemilattice__inf( X ), !
% 0.93/1.56 c_Orderings_Oord__class_Oless__eq( X, Z, Y ), !
% 0.93/1.56 c_Orderings_Oord__class_Oless__eq( X, Z, T ),
% 0.93/1.56 c_Orderings_Oord__class_Oless__eq( X, Z,
% 0.93/1.56 c_Lattices_Osemilattice__inf__class_Oinf( X, Y, T ) ) }.
% 0.93/1.56 { ! class_Lattices_Osemilattice__inf( X ), !
% 0.93/1.56 c_Orderings_Oord__class_Oless__eq( X, Z, Y ),
% 0.93/1.56 c_Lattices_Osemilattice__inf__class_Oinf( X, Y, Z ) = Z }.
% 0.93/1.56 { ! class_Lattices_Osemilattice__inf( X ), !
% 0.93/1.56 c_Orderings_Oord__class_Oless__eq( X, Z, Y ),
% 0.93/1.56 c_Lattices_Osemilattice__inf__class_Oinf( X, Z, Y ) = Z }.
% 0.93/1.56 { ! class_Lattices_Osemilattice__inf( X ), !
% 0.93/1.56 c_Orderings_Oord__class_Oless__eq( X, Z, Y ),
% 0.93/1.56 c_Orderings_Oord__class_Oless__eq( X,
% 0.93/1.56 c_Lattices_Osemilattice__inf__class_Oinf( X, T, Z ), Y ) }.
% 0.93/1.56 { ! class_Lattices_Osemilattice__inf( X ), !
% 0.93/1.56 c_Orderings_Oord__class_Oless__eq( X, Z, Y ),
% 0.93/1.56 c_Orderings_Oord__class_Oless__eq( X,
% 0.93/1.56 c_Lattices_Osemilattice__inf__class_Oinf( X, Z, T ), Y ) }.
% 0.93/1.56 { ! class_Lattices_Osemilattice__inf( X ), !
% 0.93/1.56 c_Orderings_Oord__class_Oless__eq( X, T,
% 0.93/1.56 c_Lattices_Osemilattice__inf__class_Oinf( X, Z, Y ) ),
% 0.93/1.56 c_Orderings_Oord__class_Oless__eq( X, T, Z ) }.
% 0.93/1.56 { ! class_Lattices_Osemilattice__inf( X ), !
% 0.93/1.56 c_Orderings_Oord__class_Oless__eq( X, T,
% 0.93/1.56 c_Lattices_Osemilattice__inf__class_Oinf( X, Z, Y ) ),
% 0.93/1.56 c_Orderings_Oord__class_Oless__eq( X, T, Y ) }.
% 0.93/1.56 { ! class_Lattices_Osemilattice__inf( X ), !
% 0.93/1.56 c_Orderings_Oord__class_Oless__eq( X, T, Z ), !
% 0.93/1.56 c_Orderings_Oord__class_Oless__eq( X, T, Y ),
% 0.93/1.56 c_Orderings_Oord__class_Oless__eq( X, T,
% 0.93/1.56 c_Lattices_Osemilattice__inf__class_Oinf( X, Z, Y ) ) }.
% 0.93/1.56 { ! class_Lattices_Osemilattice__inf( X ), !
% 0.93/1.56 c_Orderings_Oord__class_Oless__eq( X, Z, Y ),
% 0.93/1.56 c_Lattices_Osemilattice__inf__class_Oinf( X, Z, Y ) = Z }.
% 0.93/1.56 { ! class_Lattices_Osemilattice__inf( X ), !
% 0.93/1.56 c_Lattices_Osemilattice__inf__class_Oinf( X, Z, Y ) = Z,
% 0.93/1.56 c_Orderings_Oord__class_Oless__eq( X, Z, Y ) }.
% 0.93/1.56 { ! class_Lattices_Osemilattice__inf( X ),
% 0.93/1.56 c_Orderings_Oord__class_Oless__eq( X,
% 0.93/1.56 c_Lattices_Osemilattice__inf__class_Oinf( X, Z, Y ), Y ) }.
% 0.93/1.56 { ! class_Lattices_Olattice( X ), c_Orderings_Oord__class_Oless__eq( X,
% 0.93/1.56 c_Lattices_Osemilattice__inf__class_Oinf( X, Z, Y ), Y ) }.
% 0.93/1.56 { ! class_Lattices_Osemilattice__inf( X ),
% 0.93/1.56 c_Orderings_Oord__class_Oless__eq( X,
% 0.93/1.56 c_Lattices_Osemilattice__inf__class_Oinf( X, Z, Y ), Z ) }.
% 0.93/1.56 { ! class_Lattices_Olattice( X ), c_Orderings_Oord__class_Oless__eq( X,
% 0.93/1.56 c_Lattices_Osemilattice__inf__class_Oinf( X, Z, Y ), Z ) }.
% 0.93/1.56 { ! class_Lattices_Osemilattice__sup( X ), ! c_Orderings_Oord__class_Oless
% 0.93/1.56 ( X, Z, Y ), c_Orderings_Oord__class_Oless( X, Z,
% 0.93/1.56 c_Lattices_Osemilattice__sup__class_Osup( X, Y, T ) ) }.
% 0.93/1.56 { ! class_Lattices_Osemilattice__sup( X ), ! c_Orderings_Oord__class_Oless
% 0.93/1.56 ( X, Z, Y ), c_Orderings_Oord__class_Oless( X, Z,
% 0.93/1.56 c_Lattices_Osemilattice__sup__class_Osup( X, T, Y ) ) }.
% 0.93/1.56 { ! class_Lattices_Osemilattice__inf( X ), ! c_Orderings_Oord__class_Oless
% 0.93/1.56 ( X, Z, Y ), c_Orderings_Oord__class_Oless( X,
% 0.93/1.56 c_Lattices_Osemilattice__inf__class_Oinf( X, Z, T ), Y ) }.
% 0.93/1.56 { ! class_Lattices_Osemilattice__inf( X ), ! c_Orderings_Oord__class_Oless
% 0.93/1.56 ( X, Z, Y ), c_Orderings_Oord__class_Oless( X,
% 0.93/1.56 c_Lattices_Osemilattice__inf__class_Oinf( X, T, Z ), Y ) }.
% 0.93/1.56 { ! class_Lattices_Obounded__lattice__bot( X ), !
% 0.93/1.56 c_Lattices_Osemilattice__sup__class_Osup( X, Z, Y ) =
% 0.93/1.56 c_Orderings_Obot__class_Obot( X ), Z = c_Orderings_Obot__class_Obot( X )
% 0.93/1.56 }.
% 0.93/1.56 { ! class_Lattices_Obounded__lattice__bot( X ), !
% 0.93/1.56 c_Lattices_Osemilattice__sup__class_Osup( X, Z, Y ) =
% 0.93/1.56 c_Orderings_Obot__class_Obot( X ), Y = c_Orderings_Obot__class_Obot( X )
% 0.93/1.56 }.
% 0.93/1.56 { ! class_Lattices_Obounded__lattice__bot( X ), ! Z =
% 0.93/1.56 c_Orderings_Obot__class_Obot( X ), ! Y = c_Orderings_Obot__class_Obot( X
% 0.93/1.56 ), c_Lattices_Osemilattice__sup__class_Osup( X, Z, Y ) =
% 0.93/1.56 c_Orderings_Obot__class_Obot( X ) }.
% 0.93/1.56 { ! class_Lattices_Obounded__lattice__bot( X ),
% 0.93/1.56 c_Lattices_Osemilattice__sup__class_Osup( X, Y,
% 0.93/1.56 c_Orderings_Obot__class_Obot( X ) ) = Y }.
% 0.93/1.56 { ! class_Lattices_Obounded__lattice__bot( X ),
% 0.93/1.56 c_Lattices_Osemilattice__sup__class_Osup( X, c_Orderings_Obot__class_Obot
% 0.93/1.56 ( X ), Y ) = Y }.
% 0.93/1.56 { ! class_Lattices_Obounded__lattice__bot( X ),
% 0.93/1.56 c_Lattices_Osemilattice__inf__class_Oinf( X, Y,
% 0.93/1.56 c_Orderings_Obot__class_Obot( X ) ) = c_Orderings_Obot__class_Obot( X ) }
% 0.93/1.56 .
% 0.93/1.56 { ! class_Lattices_Obounded__lattice__bot( X ),
% 0.93/1.56 c_Lattices_Osemilattice__inf__class_Oinf( X, c_Orderings_Obot__class_Obot
% 0.93/1.56 ( X ), Y ) = c_Orderings_Obot__class_Obot( X ) }.
% 0.93/1.56 { ! class_Lattices_Odistrib__lattice( X ),
% 0.93/1.56 c_Lattices_Osemilattice__sup__class_Osup( X,
% 0.93/1.56 c_Lattices_Osemilattice__inf__class_Oinf( X, T, Z ), Y ) =
% 0.93/1.56 c_Lattices_Osemilattice__inf__class_Oinf( X,
% 0.93/1.56 c_Lattices_Osemilattice__sup__class_Osup( X, T, Y ),
% 0.93/1.56 c_Lattices_Osemilattice__sup__class_Osup( X, Z, Y ) ) }.
% 0.93/1.56 { ! class_Lattices_Odistrib__lattice( X ),
% 0.93/1.56 c_Lattices_Osemilattice__inf__class_Oinf( X,
% 0.93/1.56 c_Lattices_Osemilattice__sup__class_Osup( X, T, Z ), Y ) =
% 0.93/1.56 c_Lattices_Osemilattice__sup__class_Osup( X,
% 0.93/1.56 c_Lattices_Osemilattice__inf__class_Oinf( X, T, Y ),
% 0.93/1.56 c_Lattices_Osemilattice__inf__class_Oinf( X, Z, Y ) ) }.
% 0.93/1.56 { ! class_Lattices_Odistrib__lattice( X ),
% 0.93/1.56 c_Lattices_Osemilattice__sup__class_Osup( X, T,
% 0.93/1.56 c_Lattices_Osemilattice__inf__class_Oinf( X, Z, Y ) ) =
% 0.93/1.56 c_Lattices_Osemilattice__inf__class_Oinf( X,
% 0.93/1.56 c_Lattices_Osemilattice__sup__class_Osup( X, T, Z ),
% 0.93/1.56 c_Lattices_Osemilattice__sup__class_Osup( X, T, Y ) ) }.
% 0.93/1.56 { ! class_Lattices_Odistrib__lattice( X ),
% 0.93/1.56 c_Lattices_Osemilattice__inf__class_Oinf( X, T,
% 0.93/1.56 c_Lattices_Osemilattice__sup__class_Osup( X, Z, Y ) ) =
% 0.93/1.56 c_Lattices_Osemilattice__sup__class_Osup( X,
% 0.93/1.56 c_Lattices_Osemilattice__inf__class_Oinf( X, T, Z ),
% 0.93/1.56 c_Lattices_Osemilattice__inf__class_Oinf( X, T, Y ) ) }.
% 0.93/1.56 { ! class_Lattices_Olattice( X ), c_Lattices_Osemilattice__sup__class_Osup
% 0.93/1.56 ( X, Z, c_Lattices_Osemilattice__inf__class_Oinf( X, Z, Y ) ) = Z }.
% 0.93/1.56 { ! class_Lattices_Olattice( X ), c_Lattices_Osemilattice__inf__class_Oinf
% 0.93/1.56 ( X, Z, c_Lattices_Osemilattice__sup__class_Osup( X, Z, Y ) ) = Z }.
% 0.93/1.56 { ! class_Lattices_Obounded__lattice__top( X ),
% 0.93/1.56 c_Lattices_Osemilattice__sup__class_Osup( X, Y,
% 0.93/1.56 c_Orderings_Otop__class_Otop( X ) ) = c_Orderings_Otop__class_Otop( X ) }
% 0.93/1.56 .
% 0.93/1.56 { ! class_Lattices_Obounded__lattice__top( X ),
% 0.93/1.56 c_Lattices_Osemilattice__sup__class_Osup( X, c_Orderings_Otop__class_Otop
% 0.93/1.56 ( X ), Y ) = c_Orderings_Otop__class_Otop( X ) }.
% 0.93/1.56 { ! class_Groups_Ominus( X ), hAPP( c_Groups_Ominus__class_Ominus( tc_fun(
% 0.93/1.56 U, X ), T, Z ), Y ) = c_Groups_Ominus__class_Ominus( X, hAPP( T, Y ),
% 0.93/1.56 hAPP( Z, Y ) ) }.
% 0.93/1.56 { ! class_Groups_Oordered__ab__group__add( X ), !
% 0.93/1.56 c_Groups_Ominus__class_Ominus( X, U, T ) = c_Groups_Ominus__class_Ominus
% 0.93/1.56 ( X, Z, Y ), ! c_Orderings_Oord__class_Oless( X, U, T ),
% 0.93/1.56 c_Orderings_Oord__class_Oless( X, Z, Y ) }.
% 0.93/1.56 { ! class_Groups_Oordered__ab__group__add( X ), !
% 0.93/1.56 c_Groups_Ominus__class_Ominus( X, U, T ) = c_Groups_Ominus__class_Ominus
% 0.93/1.56 ( X, Z, Y ), ! c_Orderings_Oord__class_Oless( X, Z, Y ),
% 0.93/1.56 c_Orderings_Oord__class_Oless( X, U, T ) }.
% 0.93/1.56 { ! class_Groups_Oordered__ab__group__add( X ), !
% 0.93/1.56 c_Groups_Ominus__class_Ominus( X, U, T ) = c_Groups_Ominus__class_Ominus
% 0.93/1.56 ( X, Z, Y ), ! c_Orderings_Oord__class_Oless__eq( X, U, T ),
% 0.93/1.56 c_Orderings_Oord__class_Oless__eq( X, Z, Y ) }.
% 0.93/1.56 { ! class_Groups_Oordered__ab__group__add( X ), !
% 0.93/1.56 c_Groups_Ominus__class_Ominus( X, U, T ) = c_Groups_Ominus__class_Ominus
% 0.93/1.56 ( X, Z, Y ), ! c_Orderings_Oord__class_Oless__eq( X, Z, Y ),
% 0.93/1.56 c_Orderings_Oord__class_Oless__eq( X, U, T ) }.
% 0.93/1.56 { ! c_Orderings_Oord__class_Oless__eq( tc_fun( Z, tc_HOL_Obool ), Y, X ),
% 0.93/1.56 hBOOL( hAPP( U, skol49( W, V0, V1, U ) ) ),
% 0.93/1.56 c_Orderings_Oord__class_Oless__eq( tc_fun( Z, tc_HOL_Obool ),
% 0.93/1.56 c_Lattices_Osemilattice__inf__class_Oinf( tc_fun( Z, tc_HOL_Obool ), Y,
% 0.93/1.56 c_Set_OCollect( Z, U ) ), c_Lattices_Osemilattice__inf__class_Oinf(
% 0.93/1.56 tc_fun( Z, tc_HOL_Obool ), X, c_Set_OCollect( Z, T ) ) ) }.
% 0.93/1.56 { ! c_Orderings_Oord__class_Oless__eq( tc_fun( Z, tc_HOL_Obool ), Y, X ), !
% 0.93/1.56 hBOOL( hAPP( T, skol49( W, V0, T, U ) ) ),
% 0.93/1.56 c_Orderings_Oord__class_Oless__eq( tc_fun( Z, tc_HOL_Obool ),
% 0.93/1.56 c_Lattices_Osemilattice__inf__class_Oinf( tc_fun( Z, tc_HOL_Obool ), Y,
% 0.93/1.56 c_Set_OCollect( Z, U ) ), c_Lattices_Osemilattice__inf__class_Oinf(
% 0.93/1.56 tc_fun( Z, tc_HOL_Obool ), X, c_Set_OCollect( Z, T ) ) ) }.
% 0.93/1.56 { ! c_Orderings_Oord__class_Oless__eq( tc_fun( Z, tc_HOL_Obool ), Y, X ),
% 0.93/1.56 c_member( Z, skol49( Y, Z, T, U ), Y ), c_Orderings_Oord__class_Oless__eq
% 0.93/1.56 ( tc_fun( Z, tc_HOL_Obool ), c_Lattices_Osemilattice__inf__class_Oinf(
% 0.93/1.56 tc_fun( Z, tc_HOL_Obool ), Y, c_Set_OCollect( Z, U ) ),
% 0.93/1.56 c_Lattices_Osemilattice__inf__class_Oinf( tc_fun( Z, tc_HOL_Obool ), X,
% 0.93/1.56 c_Set_OCollect( Z, T ) ) ) }.
% 0.93/1.56 { ! c_member( Z, Y, X ), ! c_Nitpick_Ofold__graph_H( Z, V0, W, U,
% 0.93/1.56 c_Groups_Ominus__class_Ominus( tc_fun( Z, tc_HOL_Obool ), X,
% 0.93/1.56 c_Set_Oinsert( Z, Y, c_Orderings_Obot__class_Obot( tc_fun( Z,
% 0.93/1.56 tc_HOL_Obool ) ) ) ), T ), c_Nitpick_Ofold__graph_H( Z, V0, W, U, X, hAPP
% 0.93/1.56 ( hAPP( W, Y ), T ) ) }.
% 0.93/1.56 { ! c_Orderings_Oord__class_Oless__eq( tc_RealDef_Oreal,
% 0.93/1.56 c_Groups_Ozero__class_Ozero( tc_RealDef_Oreal ), X ), !
% 0.93/1.56 c_Orderings_Oord__class_Oless__eq( tc_Nat_Onat, c_RComplete_Onatceiling(
% 0.93/1.56 X ), Y ), c_Orderings_Oord__class_Oless__eq( tc_RealDef_Oreal, X,
% 0.93/1.56 c_RealDef_Oreal( tc_Nat_Onat, Y ) ) }.
% 0.93/1.56 { ! c_Orderings_Oord__class_Oless__eq( tc_RealDef_Oreal,
% 0.93/1.56 c_Groups_Ozero__class_Ozero( tc_RealDef_Oreal ), X ), !
% 0.93/1.56 c_Orderings_Oord__class_Oless__eq( tc_RealDef_Oreal, X, c_RealDef_Oreal(
% 0.93/1.56 tc_Nat_Onat, Y ) ), c_Orderings_Oord__class_Oless__eq( tc_Nat_Onat,
% 0.93/1.56 c_RComplete_Onatceiling( X ), Y ) }.
% 0.93/1.56 { c_Orderings_Oord__class_Oless__eq( tc_RealDef_Oreal,
% 0.93/1.56 c_Groups_Ozero__class_Ozero( tc_RealDef_Oreal ), c_RealDef_Oreal(
% 0.93/1.56 tc_Nat_Onat, X ) ) }.
% 0.93/1.56 { ! c_Orderings_Oord__class_Oless__eq( tc_Nat_Onat, Y, X ), c_RealDef_Oreal
% 0.93/1.56 ( tc_Nat_Onat, c_Groups_Ominus__class_Ominus( tc_Nat_Onat, X, Y ) ) =
% 0.93/1.56 c_Groups_Ominus__class_Ominus( tc_RealDef_Oreal, c_RealDef_Oreal(
% 0.93/1.56 tc_Nat_Onat, X ), c_RealDef_Oreal( tc_Nat_Onat, Y ) ) }.
% 0.93/1.56 { c_Nitpick_Ofold__graph_H( T, Z, Y, X, c_Orderings_Obot__class_Obot(
% 0.93/1.56 tc_fun( T, tc_HOL_Obool ) ), X ) }.
% 0.93/1.56 { c_Nitpick_Ofold__graph_H( T, Z, Y, X, c_Orderings_Obot__class_Obot(
% 0.93/1.56 tc_fun( T, tc_HOL_Obool ) ), X ) }.
% 0.93/1.56 { ! c_Orderings_Oord__class_Oless( tc_Nat_Onat, Y, X ), !
% 0.93/1.56 c_Orderings_Oord__class_Oless( tc_Nat_Onat, Y, Z ),
% 0.93/1.56 c_Orderings_Oord__class_Oless( tc_Nat_Onat, c_Groups_Ominus__class_Ominus
% 0.93/1.56 ( tc_Nat_Onat, Z, X ), c_Groups_Ominus__class_Ominus( tc_Nat_Onat, Z, Y )
% 0.93/1.56 ) }.
% 0.93/1.56 { ! c_Orderings_Oord__class_Oless( tc_Nat_Onat, Y, X ),
% 0.93/1.56 c_Orderings_Oord__class_Oless( tc_Nat_Onat, c_Groups_Ominus__class_Ominus
% 0.93/1.56 ( tc_Nat_Onat, Y, Z ), X ) }.
% 0.93/1.56 { c_Orderings_Oord__class_Oless__eq( tc_Nat_Onat,
% 0.93/1.56 c_Groups_Ominus__class_Ominus( tc_Nat_Onat, Y, X ), Y ) }.
% 0.93/1.56 { ! c_Orderings_Oord__class_Oless__eq( tc_Nat_Onat, Y, X ),
% 0.93/1.56 c_Orderings_Oord__class_Oless__eq( tc_Nat_Onat,
% 0.93/1.56 c_Groups_Ominus__class_Ominus( tc_Nat_Onat, Z, X ),
% 0.93/1.56 c_Groups_Ominus__class_Ominus( tc_Nat_Onat, Z, Y ) ) }.
% 0.93/1.56 { ! c_Orderings_Oord__class_Oless__eq( tc_Nat_Onat, Y, X ),
% 0.93/1.56 c_Orderings_Oord__class_Oless__eq( tc_Nat_Onat,
% 0.93/1.56 c_Groups_Ominus__class_Ominus( tc_Nat_Onat, Y, Z ),
% 0.93/1.56 c_Groups_Ominus__class_Ominus( tc_Nat_Onat, X, Z ) ) }.
% 0.93/1.56 { ! c_Orderings_Oord__class_Oless__eq( tc_Nat_Onat, Y, X ),
% 0.93/1.56 c_Groups_Ominus__class_Ominus( tc_Nat_Onat, X,
% 0.93/1.56 c_Groups_Ominus__class_Ominus( tc_Nat_Onat, X, Y ) ) = Y }.
% 0.93/1.56 { ! c_Orderings_Oord__class_Oless__eq( tc_Nat_Onat, Y, X ), !
% 0.93/1.56 c_Orderings_Oord__class_Oless__eq( tc_Nat_Onat, Y, Z ), !
% 0.93/1.56 c_Groups_Ominus__class_Ominus( tc_Nat_Onat, X, Y ) =
% 0.93/1.56 c_Groups_Ominus__class_Ominus( tc_Nat_Onat, Z, Y ), X = Z }.
% 0.93/1.56 { ! c_Orderings_Oord__class_Oless__eq( tc_Nat_Onat, Y, X ), !
% 0.93/1.56 c_Orderings_Oord__class_Oless__eq( tc_Nat_Onat, Y, Z ), ! X = Z,
% 0.93/1.56 c_Groups_Ominus__class_Ominus( tc_Nat_Onat, X, Y ) =
% 0.93/1.56 c_Groups_Ominus__class_Ominus( tc_Nat_Onat, Z, Y ) }.
% 0.93/1.56 { ! c_Orderings_Oord__class_Oless__eq( tc_Nat_Onat, Y, X ), !
% 0.93/1.56 c_Orderings_Oord__class_Oless__eq( tc_Nat_Onat, Y, Z ),
% 0.93/1.56 c_Groups_Ominus__class_Ominus( tc_Nat_Onat, c_Groups_Ominus__class_Ominus
% 0.93/1.56 ( tc_Nat_Onat, X, Y ), c_Groups_Ominus__class_Ominus( tc_Nat_Onat, Z, Y )
% 0.93/1.56 ) = c_Groups_Ominus__class_Ominus( tc_Nat_Onat, X, Z ) }.
% 0.93/1.56 { ! c_Orderings_Oord__class_Oless__eq( tc_Nat_Onat, Y, X ), !
% 0.93/1.56 c_Orderings_Oord__class_Oless__eq( tc_Nat_Onat, Y, Z ), !
% 0.93/1.56 c_Orderings_Oord__class_Oless__eq( tc_Nat_Onat,
% 0.93/1.56 c_Groups_Ominus__class_Ominus( tc_Nat_Onat, X, Y ),
% 0.93/1.56 c_Groups_Ominus__class_Ominus( tc_Nat_Onat, Z, Y ) ),
% 0.93/1.56 c_Orderings_Oord__class_Oless__eq( tc_Nat_Onat, X, Z ) }.
% 0.93/1.56 { ! c_Orderings_Oord__class_Oless__eq( tc_Nat_Onat, Y, X ), !
% 0.93/1.56 c_Orderings_Oord__class_Oless__eq( tc_Nat_Onat, Y, Z ), !
% 0.93/1.56 c_Orderings_Oord__class_Oless__eq( tc_Nat_Onat, X, Z ),
% 0.93/1.56 c_Orderings_Oord__class_Oless__eq( tc_Nat_Onat,
% 0.93/1.56 c_Groups_Ominus__class_Ominus( tc_Nat_Onat, X, Y ),
% 0.93/1.56 c_Groups_Ominus__class_Ominus( tc_Nat_Onat, Z, Y ) ) }.
% 0.93/1.56 { ! class_Groups_Ozero( X ), ! c_Groups_Ozero__class_Ozero( X ) = Y, Y =
% 0.93/1.56 c_Groups_Ozero__class_Ozero( X ) }.
% 0.93/1.56 { ! class_Groups_Ozero( X ), ! Y = c_Groups_Ozero__class_Ozero( X ),
% 0.93/1.56 c_Groups_Ozero__class_Ozero( X ) = Y }.
% 0.93/1.56 { ! class_Groups_Ogroup__add( X ), ! c_Groups_Ominus__class_Ominus( X, Z, Y
% 0.93/1.56 ) = c_Groups_Ozero__class_Ozero( X ), Z = Y }.
% 0.93/1.56 { ! class_Groups_Ogroup__add( X ), ! Z = Y, c_Groups_Ominus__class_Ominus(
% 0.93/1.56 X, Z, Y ) = c_Groups_Ozero__class_Ozero( X ) }.
% 0.93/1.56 { ! class_Groups_Oab__group__add( X ), ! Z = Y,
% 0.93/1.56 c_Groups_Ominus__class_Ominus( X, Z, Y ) = c_Groups_Ozero__class_Ozero( X
% 0.93/1.56 ) }.
% 0.93/1.56 { ! class_Groups_Oab__group__add( X ), ! c_Groups_Ominus__class_Ominus( X,
% 0.93/1.56 Z, Y ) = c_Groups_Ozero__class_Ozero( X ), Z = Y }.
% 0.93/1.56 { ! class_Groups_Ogroup__add( X ), c_Groups_Ominus__class_Ominus( X, Y, Y )
% 0.93/1.56 = c_Groups_Ozero__class_Ozero( X ) }.
% 0.93/1.56 { ! class_Groups_Ogroup__add( X ), c_Groups_Ominus__class_Ominus( X, Y,
% 0.93/1.56 c_Groups_Ozero__class_Ozero( X ) ) = Y }.
% 0.93/1.56 { ! c_Orderings_Oord__class_Oless__eq( tc_RealDef_Oreal, Y, X ),
% 0.93/1.56 c_Orderings_Oord__class_Oless__eq( tc_RealDef_Oreal,
% 0.93/1.56 c_Groups_Ominus__class_Ominus( tc_RealDef_Oreal, Y, X ),
% 0.93/1.56 c_Groups_Ozero__class_Ozero( tc_RealDef_Oreal ) ) }.
% 0.93/1.56 { ! c_Orderings_Oord__class_Oless__eq( tc_RealDef_Oreal,
% 0.93/1.56 c_Groups_Ominus__class_Ominus( tc_RealDef_Oreal, Y, X ),
% 0.93/1.56 c_Groups_Ozero__class_Ozero( tc_RealDef_Oreal ) ),
% 0.93/1.56 c_Orderings_Oord__class_Oless__eq( tc_RealDef_Oreal, Y, X ) }.
% 0.93/1.56 { ! class_Groups_Oordered__ab__group__add( X ), !
% 0.93/1.56 c_Orderings_Oord__class_Oless__eq( X, Z, Y ),
% 0.93/1.56 c_Orderings_Oord__class_Oless__eq( X, c_Groups_Ominus__class_Ominus( X, Z
% 0.93/1.56 , Y ), c_Groups_Ozero__class_Ozero( X ) ) }.
% 0.93/1.56 { ! class_Groups_Oordered__ab__group__add( X ), !
% 0.93/1.56 c_Orderings_Oord__class_Oless__eq( X, c_Groups_Ominus__class_Ominus( X, Z
% 0.93/1.56 , Y ), c_Groups_Ozero__class_Ozero( X ) ),
% 0.93/1.56 c_Orderings_Oord__class_Oless__eq( X, Z, Y ) }.
% 0.93/1.56 { ! class_Groups_Oordered__ab__group__add( X ), !
% 0.93/1.56 c_Orderings_Oord__class_Oless( X, Z, Y ), c_Orderings_Oord__class_Oless(
% 0.93/1.56 X, c_Groups_Ominus__class_Ominus( X, Z, Y ), c_Groups_Ozero__class_Ozero
% 0.93/1.56 ( X ) ) }.
% 0.93/1.56 { ! class_Groups_Oordered__ab__group__add( X ), !
% 0.93/1.56 c_Orderings_Oord__class_Oless( X, c_Groups_Ominus__class_Ominus( X, Z, Y
% 0.93/1.56 ), c_Groups_Ozero__class_Ozero( X ) ), c_Orderings_Oord__class_Oless( X
% 0.93/1.56 , Z, Y ) }.
% 0.93/1.56 { ! c_Orderings_Oord__class_Oless__eq( tc_RealDef_Oreal, c_RealDef_Oreal(
% 0.93/1.56 tc_Nat_Onat, Y ), X ), c_RComplete_Onatceiling(
% 0.93/1.56 c_Groups_Ominus__class_Ominus( tc_RealDef_Oreal, X, c_RealDef_Oreal(
% 0.93/1.56 tc_Nat_Onat, Y ) ) ) = c_Groups_Ominus__class_Ominus( tc_Nat_Onat,
% 0.93/1.56 c_RComplete_Onatceiling( X ), Y ) }.
% 0.93/1.56 { ! c_Orderings_Oord__class_Oless( tc_Nat_Onat, Y, X ), !
% 0.93/1.56 c_Orderings_Oord__class_Oless__eq( tc_Nat_Onat, Z, Y ),
% 0.93/1.56 c_Orderings_Oord__class_Oless( tc_Nat_Onat, c_Groups_Ominus__class_Ominus
% 0.93/1.56 ( tc_Nat_Onat, Y, Z ), c_Groups_Ominus__class_Ominus( tc_Nat_Onat, X, Z )
% 0.93/1.56 ) }.
% 0.93/1.56 { ! c_Orderings_Oord__class_Oless__eq( tc_Nat_Onat, Y, X ), !
% 0.93/1.56 c_Orderings_Oord__class_Oless__eq( tc_Nat_Onat, Y, Z ), !
% 0.93/1.56 c_Orderings_Oord__class_Oless( tc_Nat_Onat, c_Groups_Ominus__class_Ominus
% 0.93/1.56 ( tc_Nat_Onat, X, Y ), c_Groups_Ominus__class_Ominus( tc_Nat_Onat, Z, Y )
% 0.93/1.56 ), c_Orderings_Oord__class_Oless( tc_Nat_Onat, X, Z ) }.
% 0.93/1.56 { ! c_Orderings_Oord__class_Oless__eq( tc_Nat_Onat, Y, X ), !
% 0.93/1.56 c_Orderings_Oord__class_Oless__eq( tc_Nat_Onat, Y, Z ), !
% 0.93/1.56 c_Orderings_Oord__class_Oless( tc_Nat_Onat, X, Z ),
% 0.93/1.56 c_Orderings_Oord__class_Oless( tc_Nat_Onat, c_Groups_Ominus__class_Ominus
% 0.93/1.56 ( tc_Nat_Onat, X, Y ), c_Groups_Ominus__class_Ominus( tc_Nat_Onat, Z, Y )
% 0.93/1.56 ) }.
% 0.93/1.56 { ! c_Orderings_Oord__class_Oless( tc_RealDef_Oreal, c_RealDef_Oreal(
% 0.93/1.56 tc_Nat_Onat, X ), c_Groups_Ozero__class_Ozero( tc_RealDef_Oreal ) ) }.
% 0.93/1.56 { ! class_Groups_Oab__group__add( X ), ! c_Groups_Ominus__class_Ominus( X,
% 0.93/1.56 U, T ) = c_Groups_Ominus__class_Ominus( X, Z, Y ), ! U = T, Z = Y }.
% 0.93/1.56 { ! class_Groups_Oab__group__add( X ), ! c_Groups_Ominus__class_Ominus( X,
% 0.93/1.56 U, T ) = c_Groups_Ominus__class_Ominus( X, Z, Y ), ! Z = Y, U = T }.
% 0.93/1.56 { ! c_Nitpick_Ofold__graph_H( V0, W, U, T, Z, hAPP( hAPP( U, Y ), X ) ),
% 0.93/1.56 alpha8( X, Y, Z, T, U, V0 ), alpha22( X, Y, Z, T, U, W, V0 ) }.
% 0.93/1.56 { ! alpha8( X, Y, Z, T, U, V0 ), c_Nitpick_Ofold__graph_H( V0, W, U, T, Z,
% 0.93/1.56 hAPP( hAPP( U, Y ), X ) ) }.
% 0.93/1.56 { ! alpha22( X, Y, Z, T, U, W, V0 ), c_Nitpick_Ofold__graph_H( V0, W, U, T
% 0.93/1.56 , Z, hAPP( hAPP( U, Y ), X ) ) }.
% 0.93/1.56 { ! alpha22( X, Y, Z, T, U, W, V0 ), hAPP( hAPP( U, Y ), X ) = hAPP( hAPP(
% 0.93/1.56 U, skol50( X, Y, Z, T, U, W, V0 ) ), skol72( X, Y, Z, T, U, W, V0 ) ) }.
% 0.93/1.56 { ! alpha22( X, Y, Z, T, U, W, V0 ), alpha32( Z, T, U, W, V0, skol50( X, Y
% 0.93/1.56 , Z, T, U, W, V0 ), skol72( X, Y, Z, T, U, W, V0 ) ) }.
% 0.93/1.56 { ! hAPP( hAPP( U, Y ), X ) = hAPP( hAPP( U, V1 ), V2 ), ! alpha32( Z, T, U
% 0.93/1.56 , W, V0, V1, V2 ), alpha22( X, Y, Z, T, U, W, V0 ) }.
% 0.93/1.56 { ! alpha32( X, Y, Z, T, U, W, V0 ), c_member( U, W, X ) }.
% 0.93/1.56 { ! alpha32( X, Y, Z, T, U, W, V0 ), c_Nitpick_Ofold__graph_H( U, T, Z, Y,
% 0.93/1.56 c_Groups_Ominus__class_Ominus( tc_fun( U, tc_HOL_Obool ), X,
% 0.93/1.56 c_Set_Oinsert( U, W, c_Orderings_Obot__class_Obot( tc_fun( U,
% 0.93/1.56 tc_HOL_Obool ) ) ) ), V0 ) }.
% 0.93/1.56 { ! c_member( U, W, X ), ! c_Nitpick_Ofold__graph_H( U, T, Z, Y,
% 0.93/1.56 c_Groups_Ominus__class_Ominus( tc_fun( U, tc_HOL_Obool ), X,
% 0.93/1.56 c_Set_Oinsert( U, W, c_Orderings_Obot__class_Obot( tc_fun( U,
% 0.93/1.56 tc_HOL_Obool ) ) ) ), V0 ), alpha32( X, Y, Z, T, U, W, V0 ) }.
% 0.93/1.56 { ! alpha8( X, Y, Z, T, U, W ), Z = c_Orderings_Obot__class_Obot( tc_fun( W
% 0.93/1.56 , tc_HOL_Obool ) ) }.
% 0.93/1.56 { ! alpha8( X, Y, Z, T, U, W ), hAPP( hAPP( U, Y ), X ) = T }.
% 0.93/1.56 { ! Z = c_Orderings_Obot__class_Obot( tc_fun( W, tc_HOL_Obool ) ), ! hAPP(
% 0.93/1.56 hAPP( U, Y ), X ) = T, alpha8( X, Y, Z, T, U, W ) }.
% 0.93/1.56 { ! c_Orderings_Oord__class_Oless__eq( tc_RealDef_Oreal,
% 0.93/1.56 c_Groups_Ozero__class_Ozero( tc_RealDef_Oreal ), X ), !
% 0.93/1.56 c_Orderings_Oord__class_Oless( tc_RealDef_Oreal, X, c_RealDef_Oreal(
% 0.93/1.56 tc_Nat_Onat, Y ) ), c_Orderings_Oord__class_Oless( tc_Nat_Onat,
% 0.93/1.56 c_RComplete_Onatfloor( X ), Y ) }.
% 0.93/1.56 { ! c_Orderings_Oord__class_Oless__eq( tc_RealDef_Oreal,
% 0.93/1.56 c_Groups_Ozero__class_Ozero( tc_RealDef_Oreal ), X ), !
% 0.93/1.56 c_Orderings_Oord__class_Oless__eq( tc_Nat_Onat, Y, c_RComplete_Onatfloor
% 0.93/1.56 ( X ) ), c_Orderings_Oord__class_Oless__eq( tc_RealDef_Oreal,
% 0.93/1.56 c_RealDef_Oreal( tc_Nat_Onat, Y ), X ) }.
% 0.93/1.56 { ! c_Orderings_Oord__class_Oless__eq( tc_RealDef_Oreal,
% 0.93/1.56 c_Groups_Ozero__class_Ozero( tc_RealDef_Oreal ), X ), !
% 0.93/1.56 c_Orderings_Oord__class_Oless__eq( tc_RealDef_Oreal, c_RealDef_Oreal(
% 0.93/1.56 tc_Nat_Onat, Y ), X ), c_Orderings_Oord__class_Oless__eq( tc_Nat_Onat, Y
% 0.93/1.56 , c_RComplete_Onatfloor( X ) ) }.
% 0.93/1.56 { c_member( tc_fun( Z, tc_HOL_Obool ), Y, X ), c_member( tc_fun( Z,
% 0.93/1.56 tc_HOL_Obool ), skol51( X, Y, Z ), c_Set_Oinsert( tc_fun( Z, tc_HOL_Obool
% 0.93/1.56 ), Y, X ) ), c_Lattices_Osemilattice__inf__class_Oinf( tc_fun( Z,
% 0.93/1.56 tc_HOL_Obool ), Y, c_Complete__Lattice_OSup__class_OSup( tc_fun( Z,
% 0.93/1.56 tc_HOL_Obool ), X ) ) = c_Orderings_Obot__class_Obot( tc_fun( Z,
% 0.93/1.56 tc_HOL_Obool ) ) }.
% 0.93/1.56 { c_member( tc_fun( Z, tc_HOL_Obool ), Y, X ), alpha37( X, Y, Z, skol51( X
% 0.93/1.56 , Y, Z ) ), c_Lattices_Osemilattice__inf__class_Oinf( tc_fun( Z,
% 0.93/1.56 tc_HOL_Obool ), Y, c_Complete__Lattice_OSup__class_OSup( tc_fun( Z,
% 0.93/1.56 tc_HOL_Obool ), X ) ) = c_Orderings_Obot__class_Obot( tc_fun( Z,
% 0.93/1.56 tc_HOL_Obool ) ) }.
% 0.93/1.56 { ! alpha37( X, Y, Z, T ), ! T = skol52( U, W, V0, T ) }.
% 0.93/1.56 { ! alpha37( X, Y, Z, T ), ! c_Lattices_Osemilattice__inf__class_Oinf(
% 0.93/1.56 tc_fun( Z, tc_HOL_Obool ), T, skol52( U, W, Z, T ) ) =
% 0.93/1.56 c_Orderings_Obot__class_Obot( tc_fun( Z, tc_HOL_Obool ) ) }.
% 0.93/1.56 { ! alpha37( X, Y, Z, T ), c_member( tc_fun( Z, tc_HOL_Obool ), skol52( X,
% 0.93/1.56 Y, Z, T ), c_Set_Oinsert( tc_fun( Z, tc_HOL_Obool ), Y, X ) ) }.
% 0.93/1.56 { ! c_member( tc_fun( Z, tc_HOL_Obool ), U, c_Set_Oinsert( tc_fun( Z,
% 0.93/1.56 tc_HOL_Obool ), Y, X ) ), T = U, c_Lattices_Osemilattice__inf__class_Oinf
% 0.93/1.56 ( tc_fun( Z, tc_HOL_Obool ), T, U ) = c_Orderings_Obot__class_Obot(
% 0.93/1.56 tc_fun( Z, tc_HOL_Obool ) ), alpha37( X, Y, Z, T ) }.
% 0.93/1.56 { ! c_Orderings_Oord__class_Oless( tc_Nat_Onat, X,
% 0.93/1.56 c_Groups_Ozero__class_Ozero( tc_Nat_Onat ) ) }.
% 0.93/1.56 { c_Orderings_Oord__class_Oless__eq( tc_Nat_Onat,
% 0.93/1.56 c_Groups_Ozero__class_Ozero( tc_Nat_Onat ), X ) }.
% 0.93/1.56 { ! c_Orderings_Oord__class_Oless__eq( tc_RealDef_Oreal, X,
% 0.93/1.56 c_Groups_Ozero__class_Ozero( tc_RealDef_Oreal ) ), c_RComplete_Onatfloor
% 0.93/1.56 ( X ) = c_Groups_Ozero__class_Ozero( tc_Nat_Onat ) }.
% 0.93/1.56 { c_Orderings_Oord__class_Oless__eq( tc_Nat_Onat,
% 0.93/1.56 c_Groups_Ozero__class_Ozero( tc_Nat_Onat ), c_RComplete_Onatfloor( X ) )
% 0.93/1.56 }.
% 0.93/1.56 { c_RComplete_Onatfloor( c_Groups_Ozero__class_Ozero( tc_RealDef_Oreal ) )
% 0.93/1.56 = c_Groups_Ozero__class_Ozero( tc_Nat_Onat ) }.
% 0.93/1.56 { ! c_Orderings_Oord__class_Oless( tc_Nat_Onat, c_Groups_Ozero__class_Ozero
% 0.93/1.56 ( tc_Nat_Onat ), c_Groups_Ominus__class_Ominus( tc_Nat_Onat, Y, X ) ),
% 0.93/1.56 c_Orderings_Oord__class_Oless( tc_Nat_Onat, X, Y ) }.
% 0.93/1.56 { ! c_Orderings_Oord__class_Oless( tc_Nat_Onat, X, Y ),
% 0.93/1.56 c_Orderings_Oord__class_Oless( tc_Nat_Onat, c_Groups_Ozero__class_Ozero(
% 0.93/1.56 tc_Nat_Onat ), c_Groups_Ominus__class_Ominus( tc_Nat_Onat, Y, X ) ) }.
% 0.93/1.56 { ! c_Orderings_Oord__class_Oless( tc_Nat_Onat, c_Groups_Ozero__class_Ozero
% 0.93/1.56 ( tc_Nat_Onat ), X ), ! c_Orderings_Oord__class_Oless( tc_Nat_Onat,
% 0.93/1.56 c_Groups_Ozero__class_Ozero( tc_Nat_Onat ), Y ),
% 0.93/1.56 c_Orderings_Oord__class_Oless( tc_Nat_Onat, c_Groups_Ominus__class_Ominus
% 0.93/1.56 ( tc_Nat_Onat, Y, X ), Y ) }.
% 0.93/1.56 { ! c_Orderings_Oord__class_Oless__eq( tc_Nat_Onat, Y, X ),
% 0.93/1.56 c_Groups_Ominus__class_Ominus( tc_Nat_Onat, Y, X ) =
% 0.93/1.56 c_Groups_Ozero__class_Ozero( tc_Nat_Onat ) }.
% 0.93/1.56 { ! c_Groups_Ominus__class_Ominus( tc_Nat_Onat, Y, X ) =
% 0.93/1.56 c_Groups_Ozero__class_Ozero( tc_Nat_Onat ),
% 0.93/1.56 c_Orderings_Oord__class_Oless__eq( tc_Nat_Onat, Y, X ) }.
% 0.93/1.56 { ! c_Orderings_Oord__class_Oless__eq( tc_Nat_Onat, Y, X ),
% 0.93/1.56 c_Groups_Ominus__class_Ominus( tc_Nat_Onat, Y, X ) =
% 0.93/1.56 c_Groups_Ozero__class_Ozero( tc_Nat_Onat ) }.
% 0.93/1.56 { c_Groups_Ominus__class_Ominus( tc_Nat_Onat, c_Groups_Ozero__class_Ozero(
% 0.93/1.56 tc_Nat_Onat ), X ) = c_Groups_Ozero__class_Ozero( tc_Nat_Onat ) }.
% 0.93/1.56 { c_Groups_Ominus__class_Ominus( tc_Nat_Onat, X,
% 0.93/1.56 c_Groups_Ozero__class_Ozero( tc_Nat_Onat ) ) = X }.
% 0.93/1.56 { c_Groups_Ominus__class_Ominus( tc_Nat_Onat, X, X ) =
% 0.93/1.56 c_Groups_Ozero__class_Ozero( tc_Nat_Onat ) }.
% 0.93/1.56 { c_Groups_Ominus__class_Ominus( tc_Nat_Onat, c_Groups_Ominus__class_Ominus
% 0.93/1.56 ( tc_Nat_Onat, Z, Y ), X ) = c_Groups_Ominus__class_Ominus( tc_Nat_Onat,
% 0.93/1.56 c_Groups_Ominus__class_Ominus( tc_Nat_Onat, Z, X ), Y ) }.
% 0.93/1.56 { ! c_Groups_Ominus__class_Ominus( tc_Nat_Onat, Y, X ) =
% 0.93/1.56 c_Groups_Ozero__class_Ozero( tc_Nat_Onat ), !
% 0.93/1.56 c_Groups_Ominus__class_Ominus( tc_Nat_Onat, X, Y ) =
% 0.93/1.56 c_Groups_Ozero__class_Ozero( tc_Nat_Onat ), Y = X }.
% 0.93/1.56 { ! c_Orderings_Oord__class_Oless( tc_Nat_Onat, X,
% 0.93/1.56 c_Groups_Ozero__class_Ozero( tc_Nat_Onat ) ) }.
% 0.93/1.56 { X = c_Groups_Ozero__class_Ozero( tc_Nat_Onat ),
% 0.93/1.56 c_Orderings_Oord__class_Oless( tc_Nat_Onat, c_Groups_Ozero__class_Ozero(
% 0.93/1.56 tc_Nat_Onat ), X ) }.
% 0.93/1.56 { ! c_Orderings_Oord__class_Oless( tc_Nat_Onat, c_Groups_Ozero__class_Ozero
% 0.93/1.56 ( tc_Nat_Onat ), X ), ! X = c_Groups_Ozero__class_Ozero( tc_Nat_Onat ) }
% 0.93/1.56 .
% 0.93/1.56 { ! c_Orderings_Oord__class_Oless( tc_Nat_Onat, X,
% 0.93/1.56 c_Groups_Ozero__class_Ozero( tc_Nat_Onat ) ) }.
% 0.93/1.56 { ! c_Orderings_Oord__class_Oless( tc_Nat_Onat, Y, X ), ! X =
% 0.93/1.56 c_Groups_Ozero__class_Ozero( tc_Nat_Onat ) }.
% 0.93/1.56 { X = c_Groups_Ozero__class_Ozero( tc_Nat_Onat ),
% 0.93/1.56 c_Orderings_Oord__class_Oless( tc_Nat_Onat, c_Groups_Ozero__class_Ozero(
% 0.93/1.56 tc_Nat_Onat ), X ) }.
% 0.93/1.56 { ! c_Orderings_Oord__class_Oless__eq( tc_Nat_Onat, X,
% 0.93/1.56 c_Groups_Ozero__class_Ozero( tc_Nat_Onat ) ), X =
% 0.93/1.56 c_Groups_Ozero__class_Ozero( tc_Nat_Onat ) }.
% 0.93/1.56 { ! X = c_Groups_Ozero__class_Ozero( tc_Nat_Onat ),
% 0.93/1.56 c_Orderings_Oord__class_Oless__eq( tc_Nat_Onat, X,
% 0.93/1.56 c_Groups_Ozero__class_Ozero( tc_Nat_Onat ) ) }.
% 0.93/1.56 { c_Orderings_Oord__class_Oless__eq( tc_Nat_Onat,
% 0.93/1.56 c_Groups_Ozero__class_Ozero( tc_Nat_Onat ), X ) }.
% 0.93/1.56 { c_RComplete_Onatfloor( c_RealDef_Oreal( tc_Nat_Onat, X ) ) = X }.
% 0.93/1.56 { ! c_RealDef_Oreal( tc_Nat_Onat, X ) = c_Groups_Ozero__class_Ozero(
% 0.93/1.56 tc_RealDef_Oreal ), X = c_Groups_Ozero__class_Ozero( tc_Nat_Onat ) }.
% 0.93/1.56 { ! X = c_Groups_Ozero__class_Ozero( tc_Nat_Onat ), c_RealDef_Oreal(
% 0.93/1.56 tc_Nat_Onat, X ) = c_Groups_Ozero__class_Ozero( tc_RealDef_Oreal ) }.
% 0.93/1.56 { c_RealDef_Oreal( tc_Nat_Onat, c_Groups_Ozero__class_Ozero( tc_Nat_Onat )
% 0.93/1.56 ) = c_Groups_Ozero__class_Ozero( tc_RealDef_Oreal ) }.
% 0.93/1.56 { ! c_Orderings_Oord__class_Oless__eq( tc_RealDef_Oreal, Y, X ),
% 0.93/1.56 c_Orderings_Oord__class_Oless__eq( tc_Nat_Onat, c_RComplete_Onatfloor( Y
% 0.93/1.56 ), c_RComplete_Onatfloor( X ) ) }.
% 0.93/1.56 { c_RComplete_Onatceiling( c_Groups_Ozero__class_Ozero( tc_RealDef_Oreal )
% 0.93/1.56 ) = c_Groups_Ozero__class_Ozero( tc_Nat_Onat ) }.
% 0.93/1.56 { ! c_Orderings_Oord__class_Oless__eq( tc_RealDef_Oreal, c_RealDef_Oreal(
% 0.93/1.56 tc_Nat_Onat, Y ), X ), c_RComplete_Onatfloor(
% 0.93/1.56 c_Groups_Ominus__class_Ominus( tc_RealDef_Oreal, X, c_RealDef_Oreal(
% 0.93/1.56 tc_Nat_Onat, Y ) ) ) = c_Groups_Ominus__class_Ominus( tc_Nat_Onat,
% 0.93/1.56 c_RComplete_Onatfloor( X ), Y ) }.
% 0.93/1.56 { c_Orderings_Oord__class_Oless__eq( tc_Nat_Onat,
% 0.93/1.56 c_Groups_Ozero__class_Ozero( tc_Nat_Onat ), c_RComplete_Onatceiling( X )
% 0.93/1.56 ) }.
% 0.93/1.56 { ! c_Orderings_Oord__class_Oless__eq( tc_RealDef_Oreal, c_RealDef_Oreal(
% 0.93/1.56 tc_Nat_Onat, X ), c_Groups_Ozero__class_Ozero( tc_RealDef_Oreal ) ), X =
% 0.93/1.56 c_Groups_Ozero__class_Ozero( tc_Nat_Onat ) }.
% 0.93/1.56 { ! X = c_Groups_Ozero__class_Ozero( tc_Nat_Onat ),
% 0.93/1.56 c_Orderings_Oord__class_Oless__eq( tc_RealDef_Oreal, c_RealDef_Oreal(
% 0.93/1.56 tc_Nat_Onat, X ), c_Groups_Ozero__class_Ozero( tc_RealDef_Oreal ) ) }.
% 0.93/1.56 { ! c_Orderings_Oord__class_Oless__eq( tc_RealDef_Oreal, X,
% 0.93/1.56 c_Groups_Ozero__class_Ozero( tc_RealDef_Oreal ) ),
% 0.93/1.56 c_RComplete_Onatceiling( X ) = c_Groups_Ozero__class_Ozero( tc_Nat_Onat )
% 0.93/1.56 }.
% 0.93/1.56 { ! c_Orderings_Oord__class_Oless__eq( tc_RealDef_Oreal,
% 0.93/1.56 c_Groups_Ozero__class_Ozero( tc_RealDef_Oreal ), X ),
% 0.93/1.56 c_Orderings_Oord__class_Oless__eq( tc_RealDef_Oreal, c_RealDef_Oreal(
% 0.93/1.56 tc_Nat_Onat, c_RComplete_Onatfloor( X ) ), X ) }.
% 0.93/1.56 { ! c_Orderings_Oord__class_Oless__eq( tc_RealDef_Oreal, c_RealDef_Oreal(
% 0.93/1.56 tc_Nat_Onat, Y ), X ), c_Orderings_Oord__class_Oless__eq( tc_Nat_Onat, Y
% 0.93/1.56 , c_RComplete_Onatfloor( X ) ) }.
% 0.93/1.56 { ! c_Orderings_Oord__class_Oless( tc_RealDef_Oreal,
% 0.93/1.56 c_Groups_Ozero__class_Ozero( tc_RealDef_Oreal ), c_RealDef_Oreal(
% 0.93/1.56 tc_Nat_Onat, X ) ), c_Orderings_Oord__class_Oless( tc_Nat_Onat,
% 0.93/1.56 c_Groups_Ozero__class_Ozero( tc_Nat_Onat ), X ) }.
% 0.93/1.56 { ! c_Orderings_Oord__class_Oless( tc_Nat_Onat, c_Groups_Ozero__class_Ozero
% 0.93/1.56 ( tc_Nat_Onat ), X ), c_Orderings_Oord__class_Oless( tc_RealDef_Oreal,
% 0.93/1.56 c_Groups_Ozero__class_Ozero( tc_RealDef_Oreal ), c_RealDef_Oreal(
% 0.93/1.56 tc_Nat_Onat, X ) ) }.
% 0.93/1.56 { ! c_Finite__Set_Ofold__graph( V0, W, U, T, c_Groups_Ominus__class_Ominus
% 0.93/1.56 ( tc_fun( V0, tc_HOL_Obool ), Z, c_Set_Oinsert( V0, Y,
% 0.93/1.56 c_Orderings_Obot__class_Obot( tc_fun( V0, tc_HOL_Obool ) ) ) ), X ), !
% 0.93/1.56 c_member( V0, Y, Z ), c_Finite__Set_Ofold__graph( V0, W, U, T, Z, hAPP(
% 0.93/1.56 hAPP( U, Y ), X ) ) }.
% 0.93/1.56 { c_Orderings_Oord__class_Oless( tc_RealDef_Oreal,
% 0.93/1.56 c_Groups_Ominus__class_Ominus( tc_RealDef_Oreal, X,
% 0.93/1.56 c_Groups_Oone__class_Oone( tc_RealDef_Oreal ) ), c_RealDef_Oreal(
% 0.93/1.56 tc_Nat_Onat, c_RComplete_Onatfloor( X ) ) ) }.
% 0.93/1.56 { c_member( tc_RealDef_Oreal, c_RealDef_Oreal( tc_Nat_Onat, X ),
% 0.93/1.56 c_Nat_Osemiring__1__class_ONats( tc_RealDef_Oreal ) ) }.
% 0.93/1.56 { ! class_GCD_Ogcd( X ), c_GCD_Ogcd__class_OGcd( X,
% 0.93/1.56 c_Orderings_Obot__class_Obot( tc_fun( X, tc_HOL_Obool ) ) ) =
% 0.93/1.56 c_Groups_Ozero__class_Ozero( X ) }.
% 0.93/1.56 { ! class_Rings_Ozero__neq__one( X ), ! c_Groups_Ozero__class_Ozero( X ) =
% 0.93/1.56 c_Groups_Oone__class_Oone( X ) }.
% 0.93/1.56 { ! class_Rings_Ozero__neq__one( X ), ! c_Groups_Oone__class_Oone( X ) =
% 0.93/1.56 c_Groups_Ozero__class_Ozero( X ) }.
% 0.93/1.56 { ! c_Groups_Ozero__class_Ozero( tc_RealDef_Oreal ) =
% 0.93/1.56 c_Groups_Oone__class_Oone( tc_RealDef_Oreal ) }.
% 0.93/1.56 { c_Orderings_Obot__class_Obot( tc_Nat_Onat ) = c_Groups_Ozero__class_Ozero
% 0.93/1.56 ( tc_Nat_Onat ) }.
% 0.93/1.56 { ! c_Finite__Set_Ofold__graph( U, T, Z, Y, c_Orderings_Obot__class_Obot(
% 0.93/1.56 tc_fun( U, tc_HOL_Obool ) ), X ), X = Y }.
% 0.93/1.56 { c_Finite__Set_Ofold__graph( T, Z, Y, X, c_Orderings_Obot__class_Obot(
% 0.93/1.56 tc_fun( T, tc_HOL_Obool ) ), X ) }.
% 0.93/1.56 { c_Finite__Set_Ofold__graph( T, Z, Y, X, c_Orderings_Obot__class_Obot(
% 0.93/1.56 tc_fun( T, tc_HOL_Obool ) ), X ) }.
% 0.93/1.56 { ! class_Rings_Osemiring__1( X ), c_member( X, c_Groups_Oone__class_Oone(
% 0.93/1.56 X ), c_Nat_Osemiring__1__class_ONats( X ) ) }.
% 0.93/1.56 { ! class_Groups_Oone( X ), ! c_Groups_Oone__class_Oone( X ) = Y, Y =
% 0.93/1.56 c_Groups_Oone__class_Oone( X ) }.
% 0.93/1.56 { ! class_Groups_Oone( X ), ! Y = c_Groups_Oone__class_Oone( X ),
% 0.93/1.56 c_Groups_Oone__class_Oone( X ) = Y }.
% 0.93/1.56 { ! class_Rings_Olinordered__semidom( X ), !
% 0.93/1.56 c_Orderings_Oord__class_Oless__eq( X, c_Groups_Oone__class_Oone( X ),
% 0.93/1.56 c_Groups_Ozero__class_Ozero( X ) ) }.
% 0.93/1.56 { ! class_Rings_Olinordered__semidom( X ),
% 0.93/1.56 c_Orderings_Oord__class_Oless__eq( X, c_Groups_Ozero__class_Ozero( X ),
% 0.93/1.56 c_Groups_Oone__class_Oone( X ) ) }.
% 0.93/1.56 { ! class_Rings_Olinordered__semidom( X ), ! c_Orderings_Oord__class_Oless
% 0.93/1.56 ( X, c_Groups_Oone__class_Oone( X ), c_Groups_Ozero__class_Ozero( X ) ) }
% 0.93/1.56 .
% 0.93/1.56 { ! class_Rings_Olinordered__semidom( X ), c_Orderings_Oord__class_Oless( X
% 0.93/1.56 , c_Groups_Ozero__class_Ozero( X ), c_Groups_Oone__class_Oone( X ) ) }.
% 0.93/1.56 { c_member( Z, Y, X ), ! c_Finite__Set_Ofold__graph( Z, V0, W, U, X, T ),
% 0.93/1.56 c_Finite__Set_Ofold__graph( Z, V0, W, U, c_Set_Oinsert( Z, Y, X ), hAPP(
% 0.93/1.56 hAPP( W, Y ), T ) ) }.
% 0.93/1.56 { ! class_Rings_Osemiring__1( X ), c_member( X, c_Groups_Ozero__class_Ozero
% 0.93/1.56 ( X ), c_Nat_Osemiring__1__class_ONats( X ) ) }.
% 0.93/1.56 { ! class_GCD_Ogcd( X ), c_GCD_Ogcd__class_OLcm( X,
% 0.93/1.56 c_Orderings_Obot__class_Obot( tc_fun( X, tc_HOL_Obool ) ) ) =
% 0.93/1.56 c_Groups_Oone__class_Oone( X ) }.
% 0.93/1.56 { ! c_Finite__Set_Ofold__graph( U, U, T, Z, Y, X ), c_member( U, Z, Y ),
% 0.93/1.56 c_Finite__Set_Ofold1Set( U, T, c_Set_Oinsert( U, Z, Y ), X ) }.
% 0.93/1.56 { ! c_Orderings_Oord__class_Oless__eq( tc_RealDef_Oreal, c_RealDef_Oreal(
% 0.93/1.56 tc_Nat_Onat, Y ), X ), ! c_Orderings_Oord__class_Oless( tc_RealDef_Oreal
% 0.93/1.56 , X, c_Groups_Oplus__class_Oplus( tc_RealDef_Oreal, c_RealDef_Oreal(
% 0.93/1.56 tc_Nat_Onat, Y ), c_Groups_Oone__class_Oone( tc_RealDef_Oreal ) ) ),
% 0.93/1.56 c_RComplete_Onatfloor( X ) = Y }.
% 0.93/1.56 { ! class_Groups_Oab__semigroup__mult( X ), ! c_Finite__Set_Ofold__graph( X
% 0.93/1.56 , X, c_Groups_Otimes__class_Otimes( X ), T, Z, Y ), ! c_member( X, U, Z )
% 0.93/1.56 , c_member( X, T, Z ), c_Finite__Set_Ofold__graph( X, X,
% 0.93/1.56 c_Groups_Otimes__class_Otimes( X ), U, c_Set_Oinsert( X, T,
% 0.93/1.56 c_Groups_Ominus__class_Ominus( tc_fun( X, tc_HOL_Obool ), Z,
% 0.93/1.56 c_Set_Oinsert( X, U, c_Orderings_Obot__class_Obot( tc_fun( X,
% 0.93/1.56 tc_HOL_Obool ) ) ) ) ), Y ) }.
% 0.93/1.56 { ! class_Rings_Olinordered__semiring__1( X ), !
% 0.93/1.56 c_Orderings_Oord__class_Oless__eq( X, Z, Y ), !
% 0.93/1.56 c_Orderings_Oord__class_Oless__eq( X, T, Y ), !
% 0.93/1.56 c_Orderings_Oord__class_Oless__eq( X, c_Groups_Ozero__class_Ozero( X ), U
% 0.93/1.56 ), ! c_Orderings_Oord__class_Oless__eq( X, c_Groups_Ozero__class_Ozero(
% 0.93/1.56 X ), W ), ! c_Groups_Oplus__class_Oplus( X, U, W ) =
% 0.93/1.56 c_Groups_Oone__class_Oone( X ), c_Orderings_Oord__class_Oless__eq( X,
% 0.93/1.56 c_Groups_Oplus__class_Oplus( X, hAPP( hAPP( c_Groups_Otimes__class_Otimes
% 0.93/1.56 ( X ), U ), Z ), hAPP( hAPP( c_Groups_Otimes__class_Otimes( X ), W ), T )
% 0.93/1.56 ), Y ) }.
% 0.93/1.56 { ! class_Rings_Ono__zero__divisors( X ), ! hAPP( hAPP(
% 0.93/1.56 c_Groups_Otimes__class_Otimes( X ), Z ), Y ) =
% 0.93/1.56 c_Groups_Ozero__class_Ozero( X ), Z = c_Groups_Ozero__class_Ozero( X ), Y
% 0.93/1.56 = c_Groups_Ozero__class_Ozero( X ) }.
% 0.93/1.56 { ! class_Rings_Ono__zero__divisors( X ), Y = c_Groups_Ozero__class_Ozero(
% 0.93/1.56 X ), Z = c_Groups_Ozero__class_Ozero( X ), ! hAPP( hAPP(
% 0.93/1.56 c_Groups_Otimes__class_Otimes( X ), Y ), Z ) =
% 0.93/1.56 c_Groups_Ozero__class_Ozero( X ) }.
% 0.93/1.56 { ! class_Rings_Oring__no__zero__divisors( X ), ! hAPP( hAPP(
% 0.93/1.56 c_Groups_Otimes__class_Otimes( X ), Z ), Y ) =
% 0.93/1.56 c_Groups_Ozero__class_Ozero( X ), Z = c_Groups_Ozero__class_Ozero( X ), Y
% 0.93/1.56 = c_Groups_Ozero__class_Ozero( X ) }.
% 0.93/1.56 { ! class_Rings_Oring__no__zero__divisors( X ), ! Z =
% 0.93/1.56 c_Groups_Ozero__class_Ozero( X ), hAPP( hAPP(
% 0.93/1.56 c_Groups_Otimes__class_Otimes( X ), Z ), Y ) =
% 0.93/1.56 c_Groups_Ozero__class_Ozero( X ) }.
% 0.93/1.56 { ! class_Rings_Oring__no__zero__divisors( X ), ! Y =
% 0.93/1.56 c_Groups_Ozero__class_Ozero( X ), hAPP( hAPP(
% 0.93/1.56 c_Groups_Otimes__class_Otimes( X ), Z ), Y ) =
% 0.93/1.56 c_Groups_Ozero__class_Ozero( X ) }.
% 0.93/1.56 { ! class_Rings_Omult__zero( X ), hAPP( hAPP( c_Groups_Otimes__class_Otimes
% 0.93/1.56 ( X ), Y ), c_Groups_Ozero__class_Ozero( X ) ) =
% 0.93/1.56 c_Groups_Ozero__class_Ozero( X ) }.
% 0.93/1.56 { ! class_Rings_Omult__zero( X ), hAPP( hAPP( c_Groups_Otimes__class_Otimes
% 0.93/1.56 ( X ), c_Groups_Ozero__class_Ozero( X ) ), Y ) =
% 0.93/1.56 c_Groups_Ozero__class_Ozero( X ) }.
% 0.93/1.56 { ! class_Groups_Omonoid__add( X ), c_Groups_Oplus__class_Oplus( X,
% 0.93/1.56 c_Groups_Ozero__class_Ozero( X ), Y ) = Y }.
% 0.93/1.56 { ! class_Groups_Ocomm__monoid__add( X ), c_Groups_Oplus__class_Oplus( X,
% 0.93/1.56 c_Groups_Ozero__class_Ozero( X ), Y ) = Y }.
% 0.93/1.56 { ! class_Groups_Olinordered__ab__group__add( X ), !
% 0.93/1.56 c_Groups_Ozero__class_Ozero( X ) = c_Groups_Oplus__class_Oplus( X, Y, Y )
% 0.93/1.56 , Y = c_Groups_Ozero__class_Ozero( X ) }.
% 0.93/1.56 { ! class_Groups_Olinordered__ab__group__add( X ), ! Y =
% 0.93/1.56 c_Groups_Ozero__class_Ozero( X ), c_Groups_Ozero__class_Ozero( X ) =
% 0.93/1.56 c_Groups_Oplus__class_Oplus( X, Y, Y ) }.
% 0.93/1.56 { ! class_Groups_Omonoid__add( X ), c_Groups_Oplus__class_Oplus( X, Y,
% 0.93/1.56 c_Groups_Ozero__class_Ozero( X ) ) = Y }.
% 0.93/1.56 { ! class_Groups_Ocomm__monoid__add( X ), c_Groups_Oplus__class_Oplus( X, Y
% 0.93/1.56 , c_Groups_Ozero__class_Ozero( X ) ) = Y }.
% 0.93/1.56 { X = c_Groups_Ozero__class_Ozero( tc_RealDef_Oreal ), ! hAPP( hAPP(
% 0.93/1.56 c_Groups_Otimes__class_Otimes( tc_RealDef_Oreal ), X ), Z ) = hAPP( hAPP
% 0.93/1.56 ( c_Groups_Otimes__class_Otimes( tc_RealDef_Oreal ), X ), Y ), Z = Y }.
% 0.93/1.56 { X = c_Groups_Ozero__class_Ozero( tc_RealDef_Oreal ), ! Z = Y, hAPP( hAPP
% 0.93/1.56 ( c_Groups_Otimes__class_Otimes( tc_RealDef_Oreal ), X ), Z ) = hAPP(
% 0.93/1.56 hAPP( c_Groups_Otimes__class_Otimes( tc_RealDef_Oreal ), X ), Y ) }.
% 0.93/1.56 { X = c_Groups_Ozero__class_Ozero( tc_RealDef_Oreal ), ! hAPP( hAPP(
% 0.93/1.56 c_Groups_Otimes__class_Otimes( tc_RealDef_Oreal ), Z ), X ) = hAPP( hAPP
% 0.93/1.56 ( c_Groups_Otimes__class_Otimes( tc_RealDef_Oreal ), Y ), X ), Z = Y }.
% 0.93/1.56 { X = c_Groups_Ozero__class_Ozero( tc_RealDef_Oreal ), ! Z = Y, hAPP( hAPP
% 0.93/1.56 ( c_Groups_Otimes__class_Otimes( tc_RealDef_Oreal ), Z ), X ) = hAPP(
% 0.93/1.56 hAPP( c_Groups_Otimes__class_Otimes( tc_RealDef_Oreal ), Y ), X ) }.
% 0.93/1.56 { ! c_Groups_Oplus__class_Oplus( tc_RealDef_Oreal, hAPP( hAPP(
% 0.93/1.56 c_Groups_Otimes__class_Otimes( tc_RealDef_Oreal ), Y ), Y ), hAPP( hAPP(
% 0.93/1.56 c_Groups_Otimes__class_Otimes( tc_RealDef_Oreal ), X ), X ) ) =
% 0.93/1.56 c_Groups_Ozero__class_Ozero( tc_RealDef_Oreal ), Y =
% 0.93/1.56 c_Groups_Ozero__class_Ozero( tc_RealDef_Oreal ) }.
% 0.93/1.56 { ! c_Groups_Oplus__class_Oplus( tc_RealDef_Oreal, hAPP( hAPP(
% 0.93/1.56 c_Groups_Otimes__class_Otimes( tc_RealDef_Oreal ), Y ), Y ), hAPP( hAPP(
% 0.93/1.56 c_Groups_Otimes__class_Otimes( tc_RealDef_Oreal ), X ), X ) ) =
% 0.93/1.56 c_Groups_Ozero__class_Ozero( tc_RealDef_Oreal ), X =
% 0.93/1.56 c_Groups_Ozero__class_Ozero( tc_RealDef_Oreal ) }.
% 0.93/1.56 { ! Y = c_Groups_Ozero__class_Ozero( tc_RealDef_Oreal ), ! X =
% 0.93/1.56 c_Groups_Ozero__class_Ozero( tc_RealDef_Oreal ),
% 0.93/1.56 c_Groups_Oplus__class_Oplus( tc_RealDef_Oreal, hAPP( hAPP(
% 0.93/1.56 c_Groups_Otimes__class_Otimes( tc_RealDef_Oreal ), Y ), Y ), hAPP( hAPP(
% 0.93/1.56 c_Groups_Otimes__class_Otimes( tc_RealDef_Oreal ), X ), X ) ) =
% 0.93/1.56 c_Groups_Ozero__class_Ozero( tc_RealDef_Oreal ) }.
% 0.93/1.56 { ! Y = hAPP( hAPP( c_Groups_Otimes__class_Otimes( tc_Nat_Onat ), Y ), X )
% 0.93/1.56 , X = c_Groups_Oone__class_Oone( tc_Nat_Onat ), Y =
% 0.93/1.56 c_Groups_Ozero__class_Ozero( tc_Nat_Onat ) }.
% 0.93/1.56 { ! hAPP( hAPP( c_Groups_Otimes__class_Otimes( tc_Nat_Onat ), Z ), Y ) =
% 0.93/1.56 hAPP( hAPP( c_Groups_Otimes__class_Otimes( tc_Nat_Onat ), X ), Y ), Z = X
% 0.93/1.56 , Y = c_Groups_Ozero__class_Ozero( tc_Nat_Onat ) }.
% 0.93/1.56 { ! Z = X, hAPP( hAPP( c_Groups_Otimes__class_Otimes( tc_Nat_Onat ), Z ), Y
% 0.93/1.56 ) = hAPP( hAPP( c_Groups_Otimes__class_Otimes( tc_Nat_Onat ), X ), Y ) }
% 0.93/1.56 .
% 0.93/1.56 { ! Y = c_Groups_Ozero__class_Ozero( tc_Nat_Onat ), hAPP( hAPP(
% 0.93/1.56 c_Groups_Otimes__class_Otimes( tc_Nat_Onat ), Z ), Y ) = hAPP( hAPP(
% 0.93/1.56 c_Groups_Otimes__class_Otimes( tc_Nat_Onat ), X ), Y ) }.
% 0.93/1.56 { ! hAPP( hAPP( c_Groups_Otimes__class_Otimes( tc_Nat_Onat ), Z ), Y ) =
% 0.93/1.56 hAPP( hAPP( c_Groups_Otimes__class_Otimes( tc_Nat_Onat ), Z ), X ), Y = X
% 0.93/1.56 , Z = c_Groups_Ozero__class_Ozero( tc_Nat_Onat ) }.
% 0.93/1.56 { ! Y = X, hAPP( hAPP( c_Groups_Otimes__class_Otimes( tc_Nat_Onat ), Z ), Y
% 0.93/1.56 ) = hAPP( hAPP( c_Groups_Otimes__class_Otimes( tc_Nat_Onat ), Z ), X ) }
% 0.93/1.56 .
% 0.93/1.56 { ! Z = c_Groups_Ozero__class_Ozero( tc_Nat_Onat ), hAPP( hAPP(
% 0.93/1.56 c_Groups_Otimes__class_Otimes( tc_Nat_Onat ), Z ), Y ) = hAPP( hAPP(
% 0.93/1.56 c_Groups_Otimes__class_Otimes( tc_Nat_Onat ), Z ), X ) }.
% 0.93/1.56 { ! hAPP( hAPP( c_Groups_Otimes__class_Otimes( tc_Nat_Onat ), Y ), X ) =
% 0.93/1.56 c_Groups_Ozero__class_Ozero( tc_Nat_Onat ), Y =
% 0.93/1.56 c_Groups_Ozero__class_Ozero( tc_Nat_Onat ), X =
% 0.93/1.56 c_Groups_Ozero__class_Ozero( tc_Nat_Onat ) }.
% 0.93/1.56 { ! Y = c_Groups_Ozero__class_Ozero( tc_Nat_Onat ), hAPP( hAPP(
% 0.93/1.56 c_Groups_Otimes__class_Otimes( tc_Nat_Onat ), Y ), X ) =
% 0.93/1.56 c_Groups_Ozero__class_Ozero( tc_Nat_Onat ) }.
% 0.93/1.56 { ! X = c_Groups_Ozero__class_Ozero( tc_Nat_Onat ), hAPP( hAPP(
% 0.93/1.56 c_Groups_Otimes__class_Otimes( tc_Nat_Onat ), Y ), X ) =
% 0.93/1.56 c_Groups_Ozero__class_Ozero( tc_Nat_Onat ) }.
% 0.93/1.56 { hAPP( hAPP( c_Groups_Otimes__class_Otimes( tc_Nat_Onat ), X ),
% 0.93/1.56 c_Groups_Ozero__class_Ozero( tc_Nat_Onat ) ) =
% 0.93/1.56 c_Groups_Ozero__class_Ozero( tc_Nat_Onat ) }.
% 0.93/1.56 { hAPP( hAPP( c_Groups_Otimes__class_Otimes( tc_Nat_Onat ),
% 0.93/1.56 c_Groups_Ozero__class_Ozero( tc_Nat_Onat ) ), X ) =
% 0.93/1.56 c_Groups_Ozero__class_Ozero( tc_Nat_Onat ) }.
% 0.93/1.56 { ! class_Rings_Oring__1( X ), c_Groups_Ominus__class_Ominus( X, hAPP( hAPP
% 0.93/1.56 ( c_Groups_Otimes__class_Otimes( X ), Y ), Y ), c_Groups_Oone__class_Oone
% 0.93/1.56 ( X ) ) = hAPP( hAPP( c_Groups_Otimes__class_Otimes( X ),
% 0.93/1.56 c_Groups_Oplus__class_Oplus( X, Y, c_Groups_Oone__class_Oone( X ) ) ),
% 0.93/1.56 c_Groups_Ominus__class_Ominus( X, Y, c_Groups_Oone__class_Oone( X ) ) ) }
% 0.93/1.56 .
% 0.93/1.56 { hAPP( hAPP( c_Groups_Otimes__class_Otimes( tc_RealDef_Oreal ),
% 0.93/1.56 c_Groups_Oone__class_Oone( tc_RealDef_Oreal ) ), X ) = X }.
% 0.93/1.56 { ! class_Groups_Ocomm__monoid__mult( X ), hAPP( hAPP(
% 0.93/1.56 c_Groups_Otimes__class_Otimes( X ), Y ), c_Groups_Oone__class_Oone( X ) )
% 0.93/1.56 = Y }.
% 0.93/1.56 { ! class_Groups_Omonoid__mult( X ), hAPP( hAPP(
% 0.93/1.56 c_Groups_Otimes__class_Otimes( X ), Y ), c_Groups_Oone__class_Oone( X ) )
% 0.93/1.56 = Y }.
% 0.93/1.56 { ! class_Groups_Ocomm__monoid__mult( X ), hAPP( hAPP(
% 0.93/1.56 c_Groups_Otimes__class_Otimes( X ), c_Groups_Oone__class_Oone( X ) ), Y )
% 0.93/1.56 = Y }.
% 0.93/1.56 { ! class_Groups_Omonoid__mult( X ), hAPP( hAPP(
% 0.93/1.56 c_Groups_Otimes__class_Otimes( X ), c_Groups_Oone__class_Oone( X ) ), Y )
% 0.93/1.56 = Y }.
% 0.93/1.56 { ! class_Groups_Oordered__ab__semigroup__add__imp__le( X ), !
% 0.93/1.56 c_Orderings_Oord__class_Oless__eq( X, c_Groups_Oplus__class_Oplus( X, T,
% 0.93/1.56 Z ), c_Groups_Oplus__class_Oplus( X, Y, Z ) ),
% 0.93/1.56 c_Orderings_Oord__class_Oless__eq( X, T, Y ) }.
% 0.93/1.56 { ! class_Groups_Oordered__ab__semigroup__add__imp__le( X ), !
% 0.93/1.56 c_Orderings_Oord__class_Oless__eq( X, T, Y ),
% 0.93/1.56 c_Orderings_Oord__class_Oless__eq( X, c_Groups_Oplus__class_Oplus( X, T,
% 0.93/1.56 Z ), c_Groups_Oplus__class_Oplus( X, Y, Z ) ) }.
% 0.93/1.56 { ! class_Groups_Oordered__ab__semigroup__add__imp__le( X ), !
% 0.93/1.56 c_Orderings_Oord__class_Oless__eq( X, c_Groups_Oplus__class_Oplus( X, T,
% 0.93/1.56 Z ), c_Groups_Oplus__class_Oplus( X, T, Y ) ),
% 0.93/1.56 c_Orderings_Oord__class_Oless__eq( X, Z, Y ) }.
% 0.93/1.56 { ! class_Groups_Oordered__ab__semigroup__add__imp__le( X ), !
% 0.93/1.56 c_Orderings_Oord__class_Oless__eq( X, Z, Y ),
% 0.93/1.56 c_Orderings_Oord__class_Oless__eq( X, c_Groups_Oplus__class_Oplus( X, T,
% 0.93/1.56 Z ), c_Groups_Oplus__class_Oplus( X, T, Y ) ) }.
% 0.93/1.56 { ! class_Groups_Oordered__ab__semigroup__add( X ), !
% 0.93/1.56 c_Orderings_Oord__class_Oless__eq( X, Z, Y ),
% 0.93/1.56 c_Orderings_Oord__class_Oless__eq( X, c_Groups_Oplus__class_Oplus( X, Z,
% 0.93/1.56 T ), c_Groups_Oplus__class_Oplus( X, Y, T ) ) }.
% 0.93/1.56 { ! class_Groups_Oordered__ab__semigroup__add( X ), !
% 0.93/1.56 c_Orderings_Oord__class_Oless__eq( X, Z, Y ),
% 0.93/1.56 c_Orderings_Oord__class_Oless__eq( X, c_Groups_Oplus__class_Oplus( X, T,
% 0.93/1.56 Z ), c_Groups_Oplus__class_Oplus( X, T, Y ) ) }.
% 0.93/1.56 { ! class_Groups_Oordered__ab__semigroup__add( X ), !
% 0.93/1.56 c_Orderings_Oord__class_Oless__eq( X, Z, Y ), !
% 0.93/1.56 c_Orderings_Oord__class_Oless__eq( X, U, T ),
% 0.93/1.56 c_Orderings_Oord__class_Oless__eq( X, c_Groups_Oplus__class_Oplus( X, Z,
% 0.93/1.56 U ), c_Groups_Oplus__class_Oplus( X, Y, T ) ) }.
% 0.93/1.56 { ! class_Groups_Oordered__ab__semigroup__add__imp__le( X ), !
% 0.93/1.56 c_Orderings_Oord__class_Oless__eq( X, c_Groups_Oplus__class_Oplus( X, Z,
% 0.93/1.56 T ), c_Groups_Oplus__class_Oplus( X, Y, T ) ),
% 0.93/1.56 c_Orderings_Oord__class_Oless__eq( X, Z, Y ) }.
% 0.93/1.56 { ! class_Groups_Oordered__ab__semigroup__add__imp__le( X ), !
% 0.93/1.56 c_Orderings_Oord__class_Oless__eq( X, c_Groups_Oplus__class_Oplus( X, T,
% 0.93/1.56 Z ), c_Groups_Oplus__class_Oplus( X, T, Y ) ),
% 0.93/1.56 c_Orderings_Oord__class_Oless__eq( X, Z, Y ) }.
% 0.93/1.56 { ! class_Groups_Oab__semigroup__add( X ), c_Groups_Oplus__class_Oplus( X,
% 0.93/1.56 c_Groups_Oplus__class_Oplus( X, T, Z ), Y ) = c_Groups_Oplus__class_Oplus
% 0.93/1.56 ( X, T, c_Groups_Oplus__class_Oplus( X, Z, Y ) ) }.
% 0.93/1.56 { ! class_Groups_Oab__semigroup__mult( X ), hAPP( hAPP(
% 0.93/1.56 c_Groups_Otimes__class_Otimes( X ), hAPP( hAPP(
% 0.93/1.56 c_Groups_Otimes__class_Otimes( X ), T ), Z ) ), Y ) = hAPP( hAPP(
% 0.93/1.56 c_Groups_Otimes__class_Otimes( X ), T ), hAPP( hAPP(
% 0.93/1.56 c_Groups_Otimes__class_Otimes( X ), Z ), Y ) ) }.
% 0.93/1.56 { ! class_Groups_Ocancel__semigroup__add( X ), !
% 0.93/1.56 c_Groups_Oplus__class_Oplus( X, T, Z ) = c_Groups_Oplus__class_Oplus( X,
% 0.93/1.56 T, Y ), Z = Y }.
% 0.93/1.56 { ! class_Groups_Ocancel__semigroup__add( X ), ! Z = Y,
% 0.93/1.56 c_Groups_Oplus__class_Oplus( X, T, Z ) = c_Groups_Oplus__class_Oplus( X,
% 0.93/1.56 T, Y ) }.
% 0.93/1.56 { ! class_Groups_Ocancel__semigroup__add( X ), !
% 0.93/1.56 c_Groups_Oplus__class_Oplus( X, T, Z ) = c_Groups_Oplus__class_Oplus( X,
% 0.93/1.56 Y, Z ), T = Y }.
% 0.93/1.56 { ! class_Groups_Ocancel__semigroup__add( X ), ! T = Y,
% 0.93/1.56 c_Groups_Oplus__class_Oplus( X, T, Z ) = c_Groups_Oplus__class_Oplus( X,
% 0.93/1.56 Y, Z ) }.
% 0.93/1.56 { ! class_Groups_Ocancel__semigroup__add( X ), !
% 0.93/1.56 c_Groups_Oplus__class_Oplus( X, T, Z ) = c_Groups_Oplus__class_Oplus( X,
% 0.93/1.56 T, Y ), Z = Y }.
% 0.93/1.56 { ! class_Groups_Ocancel__ab__semigroup__add( X ), !
% 0.93/1.56 c_Groups_Oplus__class_Oplus( X, T, Z ) = c_Groups_Oplus__class_Oplus( X,
% 0.93/1.56 T, Y ), Z = Y }.
% 0.93/1.56 { ! class_Groups_Ocancel__semigroup__add( X ), !
% 0.93/1.56 c_Groups_Oplus__class_Oplus( X, Z, T ) = c_Groups_Oplus__class_Oplus( X,
% 0.93/1.56 Y, T ), Z = Y }.
% 0.93/1.56 { ! class_Groups_Oordered__ab__semigroup__add__imp__le( X ), !
% 0.93/1.56 c_Orderings_Oord__class_Oless( X, c_Groups_Oplus__class_Oplus( X, T, Z )
% 0.93/1.56 , c_Groups_Oplus__class_Oplus( X, T, Y ) ), c_Orderings_Oord__class_Oless
% 0.93/1.56 ( X, Z, Y ) }.
% 0.93/1.56 { ! class_Groups_Oordered__ab__semigroup__add__imp__le( X ), !
% 0.93/1.56 c_Orderings_Oord__class_Oless( X, c_Groups_Oplus__class_Oplus( X, Z, T )
% 0.93/1.56 , c_Groups_Oplus__class_Oplus( X, Y, T ) ), c_Orderings_Oord__class_Oless
% 0.93/1.56 ( X, Z, Y ) }.
% 0.93/1.56 { ! class_Groups_Oordered__cancel__ab__semigroup__add( X ), !
% 0.93/1.56 c_Orderings_Oord__class_Oless( X, Z, Y ), ! c_Orderings_Oord__class_Oless
% 0.93/1.56 ( X, U, T ), c_Orderings_Oord__class_Oless( X,
% 0.93/1.56 c_Groups_Oplus__class_Oplus( X, Z, U ), c_Groups_Oplus__class_Oplus( X, Y
% 0.93/1.56 , T ) ) }.
% 0.93/1.56 { ! class_Groups_Oordered__cancel__ab__semigroup__add( X ), !
% 0.93/1.56 c_Orderings_Oord__class_Oless( X, Z, Y ), c_Orderings_Oord__class_Oless(
% 0.93/1.56 X, c_Groups_Oplus__class_Oplus( X, T, Z ), c_Groups_Oplus__class_Oplus( X
% 0.93/1.56 , T, Y ) ) }.
% 0.93/1.56 { ! class_Groups_Oordered__cancel__ab__semigroup__add( X ), !
% 0.93/1.56 c_Orderings_Oord__class_Oless( X, Z, Y ), c_Orderings_Oord__class_Oless(
% 0.93/1.56 X, c_Groups_Oplus__class_Oplus( X, Z, T ), c_Groups_Oplus__class_Oplus( X
% 0.93/1.56 , Y, T ) ) }.
% 0.93/1.56 { ! class_Groups_Oordered__ab__semigroup__add__imp__le( X ), !
% 0.93/1.56 c_Orderings_Oord__class_Oless( X, c_Groups_Oplus__class_Oplus( X, T, Z )
% 0.93/1.56 , c_Groups_Oplus__class_Oplus( X, T, Y ) ), c_Orderings_Oord__class_Oless
% 0.93/1.56 ( X, Z, Y ) }.
% 0.93/1.56 { ! class_Groups_Oordered__ab__semigroup__add__imp__le( X ), !
% 0.93/1.56 c_Orderings_Oord__class_Oless( X, Z, Y ), c_Orderings_Oord__class_Oless(
% 0.93/1.56 X, c_Groups_Oplus__class_Oplus( X, T, Z ), c_Groups_Oplus__class_Oplus( X
% 0.93/1.56 , T, Y ) ) }.
% 0.93/1.56 { ! class_Groups_Oordered__ab__semigroup__add__imp__le( X ), !
% 0.93/1.56 c_Orderings_Oord__class_Oless( X, c_Groups_Oplus__class_Oplus( X, T, Z )
% 0.93/1.56 , c_Groups_Oplus__class_Oplus( X, Y, Z ) ), c_Orderings_Oord__class_Oless
% 0.93/1.56 ( X, T, Y ) }.
% 0.93/1.56 { ! class_Groups_Oordered__ab__semigroup__add__imp__le( X ), !
% 0.93/1.56 c_Orderings_Oord__class_Oless( X, T, Y ), c_Orderings_Oord__class_Oless(
% 0.93/1.56 X, c_Groups_Oplus__class_Oplus( X, T, Z ), c_Groups_Oplus__class_Oplus( X
% 0.93/1.56 , Y, Z ) ) }.
% 0.93/1.56 { ! c_Orderings_Oord__class_Oless__eq( tc_Nat_Onat, Y, X ), !
% 0.93/1.56 c_Orderings_Oord__class_Oless__eq( tc_Nat_Onat, T, Z ),
% 0.93/1.56 c_Orderings_Oord__class_Oless__eq( tc_Nat_Onat, hAPP( hAPP(
% 0.93/1.56 c_Groups_Otimes__class_Otimes( tc_Nat_Onat ), Y ), T ), hAPP( hAPP(
% 0.93/1.56 c_Groups_Otimes__class_Otimes( tc_Nat_Onat ), X ), Z ) ) }.
% 0.93/1.56 { ! c_Orderings_Oord__class_Oless__eq( tc_Nat_Onat, Y, X ),
% 0.93/1.56 c_Orderings_Oord__class_Oless__eq( tc_Nat_Onat, hAPP( hAPP(
% 0.93/1.56 c_Groups_Otimes__class_Otimes( tc_Nat_Onat ), Z ), Y ), hAPP( hAPP(
% 0.93/1.56 c_Groups_Otimes__class_Otimes( tc_Nat_Onat ), Z ), X ) ) }.
% 0.93/1.56 { ! c_Orderings_Oord__class_Oless__eq( tc_Nat_Onat, Y, X ),
% 0.93/1.56 c_Orderings_Oord__class_Oless__eq( tc_Nat_Onat, hAPP( hAPP(
% 0.93/1.56 c_Groups_Otimes__class_Otimes( tc_Nat_Onat ), Y ), Z ), hAPP( hAPP(
% 0.93/1.56 c_Groups_Otimes__class_Otimes( tc_Nat_Onat ), X ), Z ) ) }.
% 0.93/1.56 { c_Orderings_Oord__class_Oless__eq( tc_Nat_Onat, X, hAPP( hAPP(
% 0.93/1.56 c_Groups_Otimes__class_Otimes( tc_Nat_Onat ), X ), hAPP( hAPP(
% 0.93/1.56 c_Groups_Otimes__class_Otimes( tc_Nat_Onat ), X ), X ) ) ) }.
% 0.93/1.56 { c_Orderings_Oord__class_Oless__eq( tc_Nat_Onat, X, hAPP( hAPP(
% 0.93/1.56 c_Groups_Otimes__class_Otimes( tc_Nat_Onat ), X ), X ) ) }.
% 0.93/1.56 { c_RealDef_Oreal( tc_Nat_Onat, hAPP( hAPP( c_Groups_Otimes__class_Otimes(
% 0.93/1.56 tc_Nat_Onat ), Y ), X ) ) = hAPP( hAPP( c_Groups_Otimes__class_Otimes(
% 0.93/1.56 tc_RealDef_Oreal ), c_RealDef_Oreal( tc_Nat_Onat, Y ) ), c_RealDef_Oreal
% 0.93/1.56 ( tc_Nat_Onat, X ) ) }.
% 0.93/1.56 { hAPP( hAPP( c_Groups_Otimes__class_Otimes( tc_RealDef_Oreal ),
% 0.93/1.56 c_Groups_Oplus__class_Oplus( tc_RealDef_Oreal, Z, Y ) ), X ) =
% 0.93/1.56 c_Groups_Oplus__class_Oplus( tc_RealDef_Oreal, hAPP( hAPP(
% 0.93/1.56 c_Groups_Otimes__class_Otimes( tc_RealDef_Oreal ), Z ), X ), hAPP( hAPP(
% 0.93/1.56 c_Groups_Otimes__class_Otimes( tc_RealDef_Oreal ), Y ), X ) ) }.
% 0.93/1.56 { ! class_Rings_Ocomm__semiring( X ), hAPP( hAPP(
% 0.93/1.56 c_Groups_Otimes__class_Otimes( X ), c_Groups_Oplus__class_Oplus( X, T, Z
% 0.93/1.56 ) ), Y ) = c_Groups_Oplus__class_Oplus( X, hAPP( hAPP(
% 0.93/1.56 c_Groups_Otimes__class_Otimes( X ), T ), Y ), hAPP( hAPP(
% 0.93/1.56 c_Groups_Otimes__class_Otimes( X ), Z ), Y ) ) }.
% 0.93/1.56 { ! class_Rings_Osemiring( X ), c_Groups_Oplus__class_Oplus( X, hAPP( hAPP
% 0.93/1.56 ( c_Groups_Otimes__class_Otimes( X ), U ), T ),
% 0.93/1.56 c_Groups_Oplus__class_Oplus( X, hAPP( hAPP( c_Groups_Otimes__class_Otimes
% 0.93/1.56 ( X ), Z ), T ), Y ) ) = c_Groups_Oplus__class_Oplus( X, hAPP( hAPP(
% 0.93/1.56 c_Groups_Otimes__class_Otimes( X ), c_Groups_Oplus__class_Oplus( X, U, Z
% 0.93/1.56 ) ), T ), Y ) }.
% 0.93/1.56 { ! c_Orderings_Oord__class_Oless__eq( tc_RealDef_Oreal, Y, X ),
% 0.93/1.56 c_Orderings_Oord__class_Oless__eq( tc_RealDef_Oreal,
% 0.93/1.56 c_Groups_Oplus__class_Oplus( tc_RealDef_Oreal, Z, Y ),
% 0.93/1.56 c_Groups_Oplus__class_Oplus( tc_RealDef_Oreal, Z, X ) ) }.
% 0.93/1.56 { ! class_Lattices_Oab__semigroup__idem__mult( X ), hAPP( hAPP(
% 0.93/1.56 c_Groups_Otimes__class_Otimes( X ), Y ), Y ) = Y }.
% 0.93/1.56 { ! class_Lattices_Oab__semigroup__idem__mult( X ), hAPP( hAPP(
% 0.93/1.56 c_Groups_Otimes__class_Otimes( X ), Y ), Y ) = Y }.
% 0.93/1.56 { ! class_Lattices_Oab__semigroup__idem__mult( X ), hAPP( hAPP(
% 0.93/1.56 c_Groups_Otimes__class_Otimes( X ), Z ), hAPP( hAPP(
% 0.93/1.56 c_Groups_Otimes__class_Otimes( X ), Z ), Y ) ) = hAPP( hAPP(
% 0.93/1.56 c_Groups_Otimes__class_Otimes( X ), Z ), Y ) }.
% 0.93/1.56 { ! class_Rings_Oring( X ), ! c_Groups_Oplus__class_Oplus( X, hAPP( hAPP(
% 0.93/1.56 c_Groups_Otimes__class_Otimes( X ), W ), U ), T ) =
% 0.93/1.56 c_Groups_Oplus__class_Oplus( X, hAPP( hAPP( c_Groups_Otimes__class_Otimes
% 0.93/1.56 ( X ), Z ), U ), Y ), c_Groups_Oplus__class_Oplus( X, hAPP( hAPP(
% 0.93/1.56 c_Groups_Otimes__class_Otimes( X ), c_Groups_Ominus__class_Ominus( X, W,
% 0.93/1.56 Z ) ), U ), T ) = Y }.
% 0.93/1.56 { ! class_Rings_Oring( X ), ! c_Groups_Oplus__class_Oplus( X, hAPP( hAPP(
% 0.93/1.56 c_Groups_Otimes__class_Otimes( X ), c_Groups_Ominus__class_Ominus( X, W,
% 0.93/1.56 Z ) ), U ), T ) = Y, c_Groups_Oplus__class_Oplus( X, hAPP( hAPP(
% 0.93/1.56 c_Groups_Otimes__class_Otimes( X ), W ), U ), T ) =
% 0.93/1.56 c_Groups_Oplus__class_Oplus( X, hAPP( hAPP( c_Groups_Otimes__class_Otimes
% 0.93/1.56 ( X ), Z ), U ), Y ) }.
% 0.93/1.56 { ! class_Rings_Oring( X ), ! c_Groups_Oplus__class_Oplus( X, hAPP( hAPP(
% 0.93/1.56 c_Groups_Otimes__class_Otimes( X ), W ), U ), T ) =
% 0.93/1.56 c_Groups_Oplus__class_Oplus( X, hAPP( hAPP( c_Groups_Otimes__class_Otimes
% 0.93/1.56 ( X ), Z ), U ), Y ), T = c_Groups_Oplus__class_Oplus( X, hAPP( hAPP(
% 0.93/1.56 c_Groups_Otimes__class_Otimes( X ), c_Groups_Ominus__class_Ominus( X, Z,
% 0.93/1.56 W ) ), U ), Y ) }.
% 0.93/1.56 { ! class_Rings_Oring( X ), ! T = c_Groups_Oplus__class_Oplus( X, hAPP(
% 0.93/1.56 hAPP( c_Groups_Otimes__class_Otimes( X ), c_Groups_Ominus__class_Ominus(
% 0.93/1.56 X, Z, W ) ), U ), Y ), c_Groups_Oplus__class_Oplus( X, hAPP( hAPP(
% 0.93/1.56 c_Groups_Otimes__class_Otimes( X ), W ), U ), T ) =
% 0.93/1.56 c_Groups_Oplus__class_Oplus( X, hAPP( hAPP( c_Groups_Otimes__class_Otimes
% 0.93/1.56 ( X ), Z ), U ), Y ) }.
% 0.93/1.56 { ! class_Groups_Ogroup__add( X ), c_Groups_Oplus__class_Oplus( X,
% 0.93/1.56 c_Groups_Ominus__class_Ominus( X, Z, Y ), Y ) = Z }.
% 0.93/1.56 { ! class_Groups_Ogroup__add( X ), c_Groups_Ominus__class_Ominus( X,
% 0.93/1.56 c_Groups_Oplus__class_Oplus( X, Z, Y ), Y ) = Z }.
% 0.93/1.56 { ! class_Rings_Oring( X ), c_Groups_Ominus__class_Ominus( X, hAPP( hAPP(
% 0.93/1.56 c_Groups_Otimes__class_Otimes( X ), U ), T ), hAPP( hAPP(
% 0.93/1.56 c_Groups_Otimes__class_Otimes( X ), Z ), Y ) ) =
% 0.93/1.56 c_Groups_Oplus__class_Oplus( X, hAPP( hAPP( c_Groups_Otimes__class_Otimes
% 0.93/1.56 ( X ), U ), c_Groups_Ominus__class_Ominus( X, T, Y ) ), hAPP( hAPP(
% 0.93/1.56 c_Groups_Otimes__class_Otimes( X ), c_Groups_Ominus__class_Ominus( X, U,
% 0.93/1.56 Z ) ), Y ) ) }.
% 0.93/1.56 { hAPP( hAPP( c_Groups_Otimes__class_Otimes( tc_Nat_Onat ),
% 0.93/1.56 c_Groups_Ominus__class_Ominus( tc_Nat_Onat, Z, Y ) ), X ) =
% 0.93/1.56 c_Groups_Ominus__class_Ominus( tc_Nat_Onat, hAPP( hAPP(
% 0.93/1.56 c_Groups_Otimes__class_Otimes( tc_Nat_Onat ), Z ), X ), hAPP( hAPP(
% 0.93/1.56 c_Groups_Otimes__class_Otimes( tc_Nat_Onat ), Y ), X ) ) }.
% 0.93/1.56 { hAPP( hAPP( c_Groups_Otimes__class_Otimes( tc_Nat_Onat ), Z ),
% 0.93/1.56 c_Groups_Ominus__class_Ominus( tc_Nat_Onat, Y, X ) ) =
% 0.93/1.56 c_Groups_Ominus__class_Ominus( tc_Nat_Onat, hAPP( hAPP(
% 0.93/1.56 c_Groups_Otimes__class_Otimes( tc_Nat_Onat ), Z ), Y ), hAPP( hAPP(
% 0.93/1.56 c_Groups_Otimes__class_Otimes( tc_Nat_Onat ), Z ), X ) ) }.
% 0.93/1.56 { ! class_Groups_Oab__group__add( X ), c_Groups_Ominus__class_Ominus( X,
% 0.93/1.56 c_Groups_Oplus__class_Oplus( X, U, T ), c_Groups_Oplus__class_Oplus( X, Z
% 0.93/1.56 , Y ) ) = c_Groups_Oplus__class_Oplus( X, c_Groups_Ominus__class_Ominus(
% 0.93/1.56 X, U, Z ), c_Groups_Ominus__class_Ominus( X, T, Y ) ) }.
% 0.93/1.56 { ! class_Rings_Oordered__ring( X ), ! c_Orderings_Oord__class_Oless( X,
% 0.93/1.56 c_Groups_Oplus__class_Oplus( X, hAPP( hAPP( c_Groups_Otimes__class_Otimes
% 0.93/1.56 ( X ), W ), U ), T ), c_Groups_Oplus__class_Oplus( X, hAPP( hAPP(
% 0.93/1.56 c_Groups_Otimes__class_Otimes( X ), Z ), U ), Y ) ),
% 0.93/1.56 c_Orderings_Oord__class_Oless( X, c_Groups_Oplus__class_Oplus( X, hAPP(
% 0.93/1.56 hAPP( c_Groups_Otimes__class_Otimes( X ), c_Groups_Ominus__class_Ominus(
% 0.93/1.56 X, W, Z ) ), U ), T ), Y ) }.
% 0.93/1.56 { ! class_Rings_Oordered__ring( X ), ! c_Orderings_Oord__class_Oless( X,
% 0.93/1.56 c_Groups_Oplus__class_Oplus( X, hAPP( hAPP( c_Groups_Otimes__class_Otimes
% 0.93/1.56 ( X ), c_Groups_Ominus__class_Ominus( X, W, Z ) ), U ), T ), Y ),
% 0.93/1.56 c_Orderings_Oord__class_Oless( X, c_Groups_Oplus__class_Oplus( X, hAPP(
% 0.93/1.56 hAPP( c_Groups_Otimes__class_Otimes( X ), W ), U ), T ),
% 0.93/1.56 c_Groups_Oplus__class_Oplus( X, hAPP( hAPP( c_Groups_Otimes__class_Otimes
% 0.93/1.56 ( X ), Z ), U ), Y ) ) }.
% 0.93/1.56 { ! class_Rings_Oordered__ring( X ), ! c_Orderings_Oord__class_Oless( X,
% 0.93/1.56 c_Groups_Oplus__class_Oplus( X, hAPP( hAPP( c_Groups_Otimes__class_Otimes
% 0.93/1.56 ( X ), W ), U ), T ), c_Groups_Oplus__class_Oplus( X, hAPP( hAPP(
% 0.93/1.56 c_Groups_Otimes__class_Otimes( X ), Z ), U ), Y ) ),
% 0.93/1.56 c_Orderings_Oord__class_Oless( X, T, c_Groups_Oplus__class_Oplus( X, hAPP
% 0.93/1.56 ( hAPP( c_Groups_Otimes__class_Otimes( X ), c_Groups_Ominus__class_Ominus
% 0.93/1.56 ( X, Z, W ) ), U ), Y ) ) }.
% 0.93/1.56 { ! class_Rings_Oordered__ring( X ), ! c_Orderings_Oord__class_Oless( X, T
% 0.93/1.56 , c_Groups_Oplus__class_Oplus( X, hAPP( hAPP(
% 0.93/1.56 c_Groups_Otimes__class_Otimes( X ), c_Groups_Ominus__class_Ominus( X, Z,
% 0.93/1.56 W ) ), U ), Y ) ), c_Orderings_Oord__class_Oless( X,
% 0.93/1.56 c_Groups_Oplus__class_Oplus( X, hAPP( hAPP( c_Groups_Otimes__class_Otimes
% 0.93/1.56 ( X ), W ), U ), T ), c_Groups_Oplus__class_Oplus( X, hAPP( hAPP(
% 0.93/1.56 c_Groups_Otimes__class_Otimes( X ), Z ), U ), Y ) ) }.
% 0.93/1.56 { ! class_Rings_Oordered__ring( X ), ! c_Orderings_Oord__class_Oless__eq( X
% 0.93/1.56 , c_Groups_Oplus__class_Oplus( X, hAPP( hAPP(
% 0.93/1.56 c_Groups_Otimes__class_Otimes( X ), W ), U ), T ),
% 0.93/1.56 c_Groups_Oplus__class_Oplus( X, hAPP( hAPP( c_Groups_Otimes__class_Otimes
% 0.93/1.56 ( X ), Z ), U ), Y ) ), c_Orderings_Oord__class_Oless__eq( X,
% 0.93/1.56 c_Groups_Oplus__class_Oplus( X, hAPP( hAPP( c_Groups_Otimes__class_Otimes
% 0.93/1.56 ( X ), c_Groups_Ominus__class_Ominus( X, W, Z ) ), U ), T ), Y ) }.
% 0.93/1.56 { ! class_Rings_Oordered__ring( X ), ! c_Orderings_Oord__class_Oless__eq( X
% 0.93/1.56 , c_Groups_Oplus__class_Oplus( X, hAPP( hAPP(
% 0.93/1.56 c_Groups_Otimes__class_Otimes( X ), c_Groups_Ominus__class_Ominus( X, W,
% 0.93/1.56 Z ) ), U ), T ), Y ), c_Orderings_Oord__class_Oless__eq( X,
% 0.93/1.56 c_Groups_Oplus__class_Oplus( X, hAPP( hAPP( c_Groups_Otimes__class_Otimes
% 0.93/1.56 ( X ), W ), U ), T ), c_Groups_Oplus__class_Oplus( X, hAPP( hAPP(
% 0.93/1.56 c_Groups_Otimes__class_Otimes( X ), Z ), U ), Y ) ) }.
% 0.93/1.56 { ! class_Rings_Oordered__ring( X ), ! c_Orderings_Oord__class_Oless__eq( X
% 0.93/1.56 , c_Groups_Oplus__class_Oplus( X, hAPP( hAPP(
% 0.93/1.56 c_Groups_Otimes__class_Otimes( X ), W ), U ), T ),
% 0.93/1.56 c_Groups_Oplus__class_Oplus( X, hAPP( hAPP( c_Groups_Otimes__class_Otimes
% 0.93/1.56 ( X ), Z ), U ), Y ) ), c_Orderings_Oord__class_Oless__eq( X, T,
% 0.93/1.56 c_Groups_Oplus__class_Oplus( X, hAPP( hAPP( c_Groups_Otimes__class_Otimes
% 0.93/1.56 ( X ), c_Groups_Ominus__class_Ominus( X, Z, W ) ), U ), Y ) ) }.
% 0.93/1.56 { ! class_Rings_Oordered__ring( X ), ! c_Orderings_Oord__class_Oless__eq( X
% 0.93/1.56 , T, c_Groups_Oplus__class_Oplus( X, hAPP( hAPP(
% 0.93/1.56 c_Groups_Otimes__class_Otimes( X ), c_Groups_Ominus__class_Ominus( X, Z,
% 0.93/1.56 W ) ), U ), Y ) ), c_Orderings_Oord__class_Oless__eq( X,
% 0.93/1.56 c_Groups_Oplus__class_Oplus( X, hAPP( hAPP( c_Groups_Otimes__class_Otimes
% 0.93/1.56 ( X ), W ), U ), T ), c_Groups_Oplus__class_Oplus( X, hAPP( hAPP(
% 0.93/1.56 c_Groups_Otimes__class_Otimes( X ), Z ), U ), Y ) ) }.
% 0.93/1.56 { ! class_Rings_Olinordered__semiring__1__strict( X ), !
% 0.93/1.56 c_Orderings_Oord__class_Oless( X, Z, Y ), ! c_Orderings_Oord__class_Oless
% 0.93/1.56 ( X, T, Y ), ! c_Orderings_Oord__class_Oless__eq( X,
% 0.93/1.56 c_Groups_Ozero__class_Ozero( X ), U ), !
% 0.93/1.56 c_Orderings_Oord__class_Oless__eq( X, c_Groups_Ozero__class_Ozero( X ), W
% 0.93/1.56 ), ! c_Groups_Oplus__class_Oplus( X, U, W ) = c_Groups_Oone__class_Oone
% 0.93/1.56 ( X ), c_Orderings_Oord__class_Oless( X, c_Groups_Oplus__class_Oplus( X,
% 0.93/1.56 hAPP( hAPP( c_Groups_Otimes__class_Otimes( X ), U ), Z ), hAPP( hAPP(
% 0.93/1.56 c_Groups_Otimes__class_Otimes( X ), W ), T ) ), Y ) }.
% 0.93/1.56 { ! class_Groups_Olinordered__ab__group__add( X ), !
% 0.93/1.56 c_Orderings_Oord__class_Oless__eq( X, c_Groups_Ozero__class_Ozero( X ),
% 0.93/1.56 c_Groups_Oplus__class_Oplus( X, Y, Y ) ),
% 0.93/1.56 c_Orderings_Oord__class_Oless__eq( X, c_Groups_Ozero__class_Ozero( X ), Y
% 0.93/1.56 ) }.
% 0.93/1.56 { ! class_Groups_Olinordered__ab__group__add( X ), !
% 0.93/1.56 c_Orderings_Oord__class_Oless__eq( X, c_Groups_Ozero__class_Ozero( X ), Y
% 0.93/1.56 ), c_Orderings_Oord__class_Oless__eq( X, c_Groups_Ozero__class_Ozero( X
% 0.93/1.56 ), c_Groups_Oplus__class_Oplus( X, Y, Y ) ) }.
% 0.93/1.56 { ! class_Groups_Olinordered__ab__group__add( X ), !
% 0.93/1.56 c_Orderings_Oord__class_Oless__eq( X, c_Groups_Oplus__class_Oplus( X, Y,
% 0.93/1.56 Y ), c_Groups_Ozero__class_Ozero( X ) ),
% 0.93/1.56 c_Orderings_Oord__class_Oless__eq( X, Y, c_Groups_Ozero__class_Ozero( X )
% 0.93/1.56 ) }.
% 0.93/1.56 { ! class_Groups_Olinordered__ab__group__add( X ), !
% 0.93/1.56 c_Orderings_Oord__class_Oless__eq( X, Y, c_Groups_Ozero__class_Ozero( X )
% 0.93/1.56 ), c_Orderings_Oord__class_Oless__eq( X, c_Groups_Oplus__class_Oplus( X
% 0.93/1.56 , Y, Y ), c_Groups_Ozero__class_Ozero( X ) ) }.
% 0.93/1.56 { ! class_Groups_Oordered__comm__monoid__add( X ), !
% 0.93/1.56 c_Orderings_Oord__class_Oless__eq( X, c_Groups_Ozero__class_Ozero( X ), Y
% 0.93/1.56 ), ! c_Orderings_Oord__class_Oless__eq( X, c_Groups_Ozero__class_Ozero(
% 0.93/1.56 X ), Z ), c_Orderings_Oord__class_Oless__eq( X,
% 0.93/1.56 c_Groups_Ozero__class_Ozero( X ), c_Groups_Oplus__class_Oplus( X, Y, Z )
% 0.93/1.56 ) }.
% 0.93/1.56 { ! class_Groups_Oordered__comm__monoid__add( X ), !
% 0.93/1.56 c_Orderings_Oord__class_Oless__eq( X, c_Groups_Ozero__class_Ozero( X ), Y
% 0.93/1.56 ), ! c_Orderings_Oord__class_Oless__eq( X, c_Groups_Ozero__class_Ozero(
% 0.93/1.56 X ), Z ), ! c_Groups_Oplus__class_Oplus( X, Y, Z ) =
% 0.93/1.56 c_Groups_Ozero__class_Ozero( X ), Y = c_Groups_Ozero__class_Ozero( X ) }
% 0.93/1.56 .
% 0.93/1.56 { ! class_Groups_Oordered__comm__monoid__add( X ), !
% 0.93/1.56 c_Orderings_Oord__class_Oless__eq( X, c_Groups_Ozero__class_Ozero( X ), Y
% 0.93/1.56 ), ! c_Orderings_Oord__class_Oless__eq( X, c_Groups_Ozero__class_Ozero(
% 0.93/1.56 X ), Z ), ! c_Groups_Oplus__class_Oplus( X, Y, Z ) =
% 0.93/1.56 c_Groups_Ozero__class_Ozero( X ), Z = c_Groups_Ozero__class_Ozero( X ) }
% 0.93/1.56 .
% 0.93/1.56 { ! class_Groups_Oordered__comm__monoid__add( X ), !
% 0.93/1.56 c_Orderings_Oord__class_Oless__eq( X, c_Groups_Ozero__class_Ozero( X ), Y
% 0.93/1.56 ), ! c_Orderings_Oord__class_Oless__eq( X, c_Groups_Ozero__class_Ozero(
% 0.93/1.56 X ), Z ), ! Y = c_Groups_Ozero__class_Ozero( X ), ! Z =
% 0.93/1.56 c_Groups_Ozero__class_Ozero( X ), c_Groups_Oplus__class_Oplus( X, Y, Z )
% 0.93/1.56 = c_Groups_Ozero__class_Ozero( X ) }.
% 0.93/1.56 { ! class_Groups_Oordered__comm__monoid__add( X ), !
% 0.93/1.56 c_Orderings_Oord__class_Oless__eq( X, c_Groups_Ozero__class_Ozero( X ), Y
% 0.93/1.56 ), ! c_Orderings_Oord__class_Oless__eq( X, T, Z ),
% 0.93/1.56 c_Orderings_Oord__class_Oless__eq( X, T, c_Groups_Oplus__class_Oplus( X,
% 0.93/1.56 Y, Z ) ) }.
% 0.93/1.56 { ! class_Groups_Oordered__comm__monoid__add( X ), !
% 0.93/1.56 c_Orderings_Oord__class_Oless__eq( X, c_Groups_Ozero__class_Ozero( X ), Y
% 0.93/1.56 ), ! c_Orderings_Oord__class_Oless__eq( X, T, Z ),
% 0.93/1.56 c_Orderings_Oord__class_Oless__eq( X, T, c_Groups_Oplus__class_Oplus( X,
% 0.93/1.56 Z, Y ) ) }.
% 0.93/1.56 { ! class_Groups_Oordered__comm__monoid__add( X ), !
% 0.93/1.56 c_Orderings_Oord__class_Oless__eq( X, Y, c_Groups_Ozero__class_Ozero( X )
% 0.93/1.56 ), ! c_Orderings_Oord__class_Oless__eq( X, Z,
% 0.93/1.56 c_Groups_Ozero__class_Ozero( X ) ), c_Orderings_Oord__class_Oless__eq( X
% 0.93/1.56 , c_Groups_Oplus__class_Oplus( X, Y, Z ), c_Groups_Ozero__class_Ozero( X
% 0.93/1.56 ) ) }.
% 0.93/1.56 { ! class_Groups_Olinordered__ab__group__add( X ), !
% 0.93/1.56 c_Orderings_Oord__class_Oless( X, c_Groups_Ozero__class_Ozero( X ),
% 0.93/1.56 c_Groups_Oplus__class_Oplus( X, Y, Y ) ), c_Orderings_Oord__class_Oless(
% 0.93/1.56 X, c_Groups_Ozero__class_Ozero( X ), Y ) }.
% 0.93/1.56 { ! class_Groups_Olinordered__ab__group__add( X ), !
% 0.93/1.56 c_Orderings_Oord__class_Oless( X, c_Groups_Ozero__class_Ozero( X ), Y ),
% 0.93/1.56 c_Orderings_Oord__class_Oless( X, c_Groups_Ozero__class_Ozero( X ),
% 0.93/1.56 c_Groups_Oplus__class_Oplus( X, Y, Y ) ) }.
% 0.93/1.56 { ! class_Groups_Olinordered__ab__group__add( X ), !
% 0.93/1.56 c_Orderings_Oord__class_Oless( X, c_Groups_Oplus__class_Oplus( X, Y, Y )
% 0.93/1.56 , c_Groups_Ozero__class_Ozero( X ) ), c_Orderings_Oord__class_Oless( X, Y
% 0.93/1.56 , c_Groups_Ozero__class_Ozero( X ) ) }.
% 0.93/1.56 { ! class_Groups_Olinordered__ab__group__add( X ), !
% 0.93/1.56 c_Orderings_Oord__class_Oless( X, Y, c_Groups_Ozero__class_Ozero( X ) ),
% 0.93/1.56 c_Orderings_Oord__class_Oless( X, c_Groups_Oplus__class_Oplus( X, Y, Y )
% 0.93/1.56 , c_Groups_Ozero__class_Ozero( X ) ) }.
% 0.93/1.56 { ! class_Groups_Oordered__comm__monoid__add( X ), !
% 0.93/1.56 c_Orderings_Oord__class_Oless( X, c_Groups_Ozero__class_Ozero( X ), Y ),
% 0.93/1.56 ! c_Orderings_Oord__class_Oless( X, c_Groups_Ozero__class_Ozero( X ), Z )
% 0.93/1.56 , c_Orderings_Oord__class_Oless( X, c_Groups_Ozero__class_Ozero( X ),
% 0.93/1.56 c_Groups_Oplus__class_Oplus( X, Y, Z ) ) }.
% 0.93/1.56 { ! class_Rings_Olinordered__semidom( X ), ! c_Orderings_Oord__class_Oless
% 0.93/1.56 ( X, c_Groups_Ozero__class_Ozero( X ), Y ), !
% 0.93/1.56 c_Orderings_Oord__class_Oless( X, T, Z ), c_Orderings_Oord__class_Oless(
% 0.93/1.56 X, T, c_Groups_Oplus__class_Oplus( X, Y, Z ) ) }.
% 0.93/1.56 { ! class_Groups_Oordered__comm__monoid__add( X ), !
% 0.93/1.56 c_Orderings_Oord__class_Oless( X, Y, c_Groups_Ozero__class_Ozero( X ) ),
% 0.93/1.56 ! c_Orderings_Oord__class_Oless( X, Z, c_Groups_Ozero__class_Ozero( X ) )
% 0.93/1.56 , c_Orderings_Oord__class_Oless( X, c_Groups_Oplus__class_Oplus( X, Y, Z
% 0.93/1.56 ), c_Groups_Ozero__class_Ozero( X ) ) }.
% 0.93/1.56 { ! class_Groups_Oordered__cancel__ab__semigroup__add( X ), !
% 0.93/1.56 c_Orderings_Oord__class_Oless( X, Z, Y ), !
% 0.93/1.56 c_Orderings_Oord__class_Oless__eq( X, U, T ),
% 0.93/1.56 c_Orderings_Oord__class_Oless( X, c_Groups_Oplus__class_Oplus( X, Z, U )
% 0.93/1.56 , c_Groups_Oplus__class_Oplus( X, Y, T ) ) }.
% 0.93/1.56 { ! class_Groups_Oordered__cancel__ab__semigroup__add( X ), !
% 0.93/1.56 c_Orderings_Oord__class_Oless__eq( X, Z, Y ), !
% 0.93/1.56 c_Orderings_Oord__class_Oless( X, U, T ), c_Orderings_Oord__class_Oless(
% 0.93/1.56 X, c_Groups_Oplus__class_Oplus( X, Z, U ), c_Groups_Oplus__class_Oplus( X
% 0.93/1.56 , Y, T ) ) }.
% 0.93/1.56 { ! class_Rings_Olinordered__semidom( X ), c_Orderings_Oord__class_Oless( X
% 0.93/1.56 , Y, c_Groups_Oplus__class_Oplus( X, Y, c_Groups_Oone__class_Oone( X ) )
% 0.93/1.56 ) }.
% 0.93/1.56 { ! class_Rings_Oordered__cancel__semiring( X ), !
% 0.93/1.56 c_Orderings_Oord__class_Oless__eq( X, c_Groups_Ozero__class_Ozero( X ), Z
% 0.93/1.56 ), ! c_Orderings_Oord__class_Oless__eq( X, Y,
% 0.93/1.56 c_Groups_Ozero__class_Ozero( X ) ), c_Orderings_Oord__class_Oless__eq( X
% 0.93/1.56 , hAPP( hAPP( c_Groups_Otimes__class_Otimes( X ), Z ), Y ),
% 0.93/1.56 c_Groups_Ozero__class_Ozero( X ) ) }.
% 0.93/1.56 { ! class_Rings_Oordered__cancel__semiring( X ), !
% 0.93/1.56 c_Orderings_Oord__class_Oless__eq( X, Z, c_Groups_Ozero__class_Ozero( X )
% 0.93/1.56 ), ! c_Orderings_Oord__class_Oless__eq( X, c_Groups_Ozero__class_Ozero(
% 0.93/1.56 X ), Y ), c_Orderings_Oord__class_Oless__eq( X, hAPP( hAPP(
% 0.93/1.56 c_Groups_Otimes__class_Otimes( X ), Z ), Y ), c_Groups_Ozero__class_Ozero
% 0.93/1.56 ( X ) ) }.
% 0.93/1.56 { ! class_Rings_Oordered__ring( X ), ! c_Orderings_Oord__class_Oless__eq( X
% 0.93/1.56 , c_Groups_Ozero__class_Ozero( X ), Z ), !
% 0.93/1.56 c_Orderings_Oord__class_Oless__eq( X, c_Groups_Ozero__class_Ozero( X ), Y
% 0.93/1.56 ), c_Orderings_Oord__class_Oless__eq( X, c_Groups_Ozero__class_Ozero( X
% 0.93/1.56 ), hAPP( hAPP( c_Groups_Otimes__class_Otimes( X ), Z ), Y ) ) }.
% 0.93/1.56 { ! class_Rings_Oordered__ring( X ), ! c_Orderings_Oord__class_Oless__eq( X
% 0.93/1.56 , Z, c_Groups_Ozero__class_Ozero( X ) ), !
% 0.93/1.56 c_Orderings_Oord__class_Oless__eq( X, Y, c_Groups_Ozero__class_Ozero( X )
% 0.93/1.56 ), c_Orderings_Oord__class_Oless__eq( X, c_Groups_Ozero__class_Ozero( X
% 0.93/1.56 ), hAPP( hAPP( c_Groups_Otimes__class_Otimes( X ), Z ), Y ) ) }.
% 0.93/1.56 { ! class_Rings_Oordered__semiring( X ), !
% 0.93/1.56 c_Orderings_Oord__class_Oless__eq( X, Z, Y ), !
% 0.93/1.56 c_Orderings_Oord__class_Oless__eq( X, U, T ), !
% 0.93/1.56 c_Orderings_Oord__class_Oless__eq( X, c_Groups_Ozero__class_Ozero( X ), Y
% 0.93/1.56 ), ! c_Orderings_Oord__class_Oless__eq( X, c_Groups_Ozero__class_Ozero(
% 0.93/1.56 X ), U ), c_Orderings_Oord__class_Oless__eq( X, hAPP( hAPP(
% 0.93/1.56 c_Groups_Otimes__class_Otimes( X ), Z ), U ), hAPP( hAPP(
% 0.93/1.56 c_Groups_Otimes__class_Otimes( X ), Y ), T ) ) }.
% 0.93/1.56 { ! class_Rings_Oordered__semiring( X ), !
% 0.93/1.56 c_Orderings_Oord__class_Oless__eq( X, Z, Y ), !
% 0.93/1.56 c_Orderings_Oord__class_Oless__eq( X, U, T ), !
% 0.93/1.56 c_Orderings_Oord__class_Oless__eq( X, c_Groups_Ozero__class_Ozero( X ), Z
% 0.93/1.56 ), ! c_Orderings_Oord__class_Oless__eq( X, c_Groups_Ozero__class_Ozero(
% 0.93/1.56 X ), U ), c_Orderings_Oord__class_Oless__eq( X, hAPP( hAPP(
% 0.93/1.56 c_Groups_Otimes__class_Otimes( X ), Z ), U ), hAPP( hAPP(
% 0.93/1.56 c_Groups_Otimes__class_Otimes( X ), Y ), T ) ) }.
% 0.93/1.56 { ! class_Rings_Oordered__ring( X ), ! c_Orderings_Oord__class_Oless__eq( X
% 0.93/1.56 , Z, Y ), ! c_Orderings_Oord__class_Oless__eq( X, T,
% 0.93/1.56 c_Groups_Ozero__class_Ozero( X ) ), c_Orderings_Oord__class_Oless__eq( X
% 0.93/1.56 , hAPP( hAPP( c_Groups_Otimes__class_Otimes( X ), T ), Y ), hAPP( hAPP(
% 0.93/1.56 c_Groups_Otimes__class_Otimes( X ), T ), Z ) ) }.
% 0.93/1.56 { ! class_Rings_Oordered__ring( X ), ! c_Orderings_Oord__class_Oless__eq( X
% 0.93/1.56 , Z, Y ), ! c_Orderings_Oord__class_Oless__eq( X, T,
% 0.93/1.56 c_Groups_Ozero__class_Ozero( X ) ), c_Orderings_Oord__class_Oless__eq( X
% 0.93/1.56 , hAPP( hAPP( c_Groups_Otimes__class_Otimes( X ), Y ), T ), hAPP( hAPP(
% 0.93/1.56 c_Groups_Otimes__class_Otimes( X ), Z ), T ) ) }.
% 0.93/1.56 { ! class_Rings_Oordered__comm__semiring( X ), !
% 0.93/1.56 c_Orderings_Oord__class_Oless__eq( X, Z, Y ), !
% 0.93/1.56 c_Orderings_Oord__class_Oless__eq( X, c_Groups_Ozero__class_Ozero( X ), T
% 0.93/1.56 ), c_Orderings_Oord__class_Oless__eq( X, hAPP( hAPP(
% 0.93/1.56 c_Groups_Otimes__class_Otimes( X ), T ), Z ), hAPP( hAPP(
% 0.93/1.56 c_Groups_Otimes__class_Otimes( X ), T ), Y ) ) }.
% 0.93/1.56 { ! class_Rings_Oordered__semiring( X ), !
% 0.93/1.56 c_Orderings_Oord__class_Oless__eq( X, Z, Y ), !
% 0.93/1.56 c_Orderings_Oord__class_Oless__eq( X, c_Groups_Ozero__class_Ozero( X ), T
% 0.93/1.56 ), c_Orderings_Oord__class_Oless__eq( X, hAPP( hAPP(
% 0.93/1.56 c_Groups_Otimes__class_Otimes( X ), T ), Z ), hAPP( hAPP(
% 0.93/1.56 c_Groups_Otimes__class_Otimes( X ), T ), Y ) ) }.
% 0.93/1.56 { ! class_Rings_Oordered__semiring( X ), !
% 0.93/1.56 c_Orderings_Oord__class_Oless__eq( X, Z, Y ), !
% 0.93/1.56 c_Orderings_Oord__class_Oless__eq( X, c_Groups_Ozero__class_Ozero( X ), T
% 0.93/1.56 ), c_Orderings_Oord__class_Oless__eq( X, hAPP( hAPP(
% 0.93/1.56 c_Groups_Otimes__class_Otimes( X ), Z ), T ), hAPP( hAPP(
% 0.93/1.56 c_Groups_Otimes__class_Otimes( X ), Y ), T ) ) }.
% 0.93/1.56 { ! class_Rings_Oordered__ring( X ), ! c_Orderings_Oord__class_Oless__eq( X
% 0.93/1.56 , Y, c_Groups_Ozero__class_Ozero( X ) ), !
% 0.93/1.56 c_Orderings_Oord__class_Oless__eq( X, Z, c_Groups_Ozero__class_Ozero( X )
% 0.93/1.56 ), c_Orderings_Oord__class_Oless__eq( X, c_Groups_Ozero__class_Ozero( X
% 0.93/1.56 ), hAPP( hAPP( c_Groups_Otimes__class_Otimes( X ), Y ), Z ) ) }.
% 0.93/1.56 { ! class_Rings_Oordered__cancel__semiring( X ), !
% 0.93/1.56 c_Orderings_Oord__class_Oless__eq( X, Y, c_Groups_Ozero__class_Ozero( X )
% 0.93/1.56 ), ! c_Orderings_Oord__class_Oless__eq( X, c_Groups_Ozero__class_Ozero(
% 0.93/1.56 X ), Z ), c_Orderings_Oord__class_Oless__eq( X, hAPP( hAPP(
% 0.93/1.56 c_Groups_Otimes__class_Otimes( X ), Y ), Z ), c_Groups_Ozero__class_Ozero
% 0.93/1.56 ( X ) ) }.
% 0.93/1.56 { ! class_Rings_Oordered__cancel__semiring( X ), !
% 0.93/1.56 c_Orderings_Oord__class_Oless__eq( X, c_Groups_Ozero__class_Ozero( X ), Y
% 0.93/1.56 ), ! c_Orderings_Oord__class_Oless__eq( X, Z,
% 0.93/1.56 c_Groups_Ozero__class_Ozero( X ) ), c_Orderings_Oord__class_Oless__eq( X
% 0.93/1.56 , hAPP( hAPP( c_Groups_Otimes__class_Otimes( X ), Z ), Y ),
% 0.93/1.56 c_Groups_Ozero__class_Ozero( X ) ) }.
% 0.93/1.56 { ! class_Rings_Oordered__cancel__semiring( X ), !
% 0.93/1.56 c_Orderings_Oord__class_Oless__eq( X, c_Groups_Ozero__class_Ozero( X ), Y
% 0.93/1.56 ), ! c_Orderings_Oord__class_Oless__eq( X, Z,
% 0.93/1.56 c_Groups_Ozero__class_Ozero( X ) ), c_Orderings_Oord__class_Oless__eq( X
% 0.93/1.56 , hAPP( hAPP( c_Groups_Otimes__class_Otimes( X ), Y ), Z ),
% 0.93/1.56 c_Groups_Ozero__class_Ozero( X ) ) }.
% 0.93/1.56 { ! class_Rings_Oordered__cancel__semiring( X ), !
% 0.93/1.56 c_Orderings_Oord__class_Oless__eq( X, c_Groups_Ozero__class_Ozero( X ), Y
% 0.93/1.56 ), ! c_Orderings_Oord__class_Oless__eq( X, c_Groups_Ozero__class_Ozero(
% 0.93/1.56 X ), Z ), c_Orderings_Oord__class_Oless__eq( X,
% 0.93/1.56 c_Groups_Ozero__class_Ozero( X ), hAPP( hAPP(
% 0.93/1.56 c_Groups_Otimes__class_Otimes( X ), Y ), Z ) ) }.
% 0.93/1.56 { ! class_Rings_Olinordered__ring__strict( X ), !
% 0.93/1.56 c_Orderings_Oord__class_Oless__eq( X, hAPP( hAPP(
% 0.93/1.56 c_Groups_Otimes__class_Otimes( X ), Z ), Y ), c_Groups_Ozero__class_Ozero
% 0.93/1.56 ( X ) ), alpha9( X, Y, Z ), alpha23( X, Y, Z ) }.
% 0.93/1.56 { ! class_Rings_Olinordered__ring__strict( X ), ! alpha9( X, Y, Z ),
% 0.93/1.56 c_Orderings_Oord__class_Oless__eq( X, hAPP( hAPP(
% 0.93/1.56 c_Groups_Otimes__class_Otimes( X ), Z ), Y ), c_Groups_Ozero__class_Ozero
% 0.93/1.56 ( X ) ) }.
% 0.93/1.56 { ! class_Rings_Olinordered__ring__strict( X ), ! alpha23( X, Y, Z ),
% 0.93/1.56 c_Orderings_Oord__class_Oless__eq( X, hAPP( hAPP(
% 0.93/1.56 c_Groups_Otimes__class_Otimes( X ), Z ), Y ), c_Groups_Ozero__class_Ozero
% 0.93/1.56 ( X ) ) }.
% 0.93/1.56 { ! alpha23( X, Y, Z ), c_Orderings_Oord__class_Oless__eq( X, Z,
% 0.93/1.56 c_Groups_Ozero__class_Ozero( X ) ) }.
% 0.93/1.56 { ! alpha23( X, Y, Z ), c_Orderings_Oord__class_Oless__eq( X,
% 0.93/1.56 c_Groups_Ozero__class_Ozero( X ), Y ) }.
% 0.93/1.56 { ! c_Orderings_Oord__class_Oless__eq( X, Z, c_Groups_Ozero__class_Ozero( X
% 0.93/1.56 ) ), ! c_Orderings_Oord__class_Oless__eq( X, c_Groups_Ozero__class_Ozero
% 0.93/1.56 ( X ), Y ), alpha23( X, Y, Z ) }.
% 0.93/1.56 { ! alpha9( X, Y, Z ), c_Orderings_Oord__class_Oless__eq( X,
% 0.93/1.56 c_Groups_Ozero__class_Ozero( X ), Z ) }.
% 0.93/1.56 { ! alpha9( X, Y, Z ), c_Orderings_Oord__class_Oless__eq( X, Y,
% 0.93/1.56 c_Groups_Ozero__class_Ozero( X ) ) }.
% 0.93/1.56 { ! c_Orderings_Oord__class_Oless__eq( X, c_Groups_Ozero__class_Ozero( X )
% 0.93/1.56 , Z ), ! c_Orderings_Oord__class_Oless__eq( X, Y,
% 0.93/1.56 c_Groups_Ozero__class_Ozero( X ) ), alpha9( X, Y, Z ) }.
% 0.93/1.56 { ! class_Rings_Olinordered__ring__strict( X ), !
% 0.93/1.56 c_Orderings_Oord__class_Oless__eq( X, c_Groups_Ozero__class_Ozero( X ),
% 0.93/1.56 hAPP( hAPP( c_Groups_Otimes__class_Otimes( X ), Z ), Y ) ), alpha10( X, Y
% 0.93/1.56 , Z ), alpha24( X, Y, Z ) }.
% 0.93/1.56 { ! class_Rings_Olinordered__ring__strict( X ), ! alpha10( X, Y, Z ),
% 0.93/1.56 c_Orderings_Oord__class_Oless__eq( X, c_Groups_Ozero__class_Ozero( X ),
% 0.93/1.56 hAPP( hAPP( c_Groups_Otimes__class_Otimes( X ), Z ), Y ) ) }.
% 0.93/1.56 { ! class_Rings_Olinordered__ring__strict( X ), ! alpha24( X, Y, Z ),
% 0.93/1.56 c_Orderings_Oord__class_Oless__eq( X, c_Groups_Ozero__class_Ozero( X ),
% 0.93/1.56 hAPP( hAPP( c_Groups_Otimes__class_Otimes( X ), Z ), Y ) ) }.
% 0.93/1.56 { ! alpha24( X, Y, Z ), c_Orderings_Oord__class_Oless__eq( X, Z,
% 0.93/1.56 c_Groups_Ozero__class_Ozero( X ) ) }.
% 0.93/1.56 { ! alpha24( X, Y, Z ), c_Orderings_Oord__class_Oless__eq( X, Y,
% 0.93/1.56 c_Groups_Ozero__class_Ozero( X ) ) }.
% 0.93/1.56 { ! c_Orderings_Oord__class_Oless__eq( X, Z, c_Groups_Ozero__class_Ozero( X
% 0.93/1.56 ) ), ! c_Orderings_Oord__class_Oless__eq( X, Y,
% 0.93/1.56 c_Groups_Ozero__class_Ozero( X ) ), alpha24( X, Y, Z ) }.
% 0.93/1.56 { ! alpha10( X, Y, Z ), c_Orderings_Oord__class_Oless__eq( X,
% 0.93/1.56 c_Groups_Ozero__class_Ozero( X ), Z ) }.
% 0.93/1.56 { ! alpha10( X, Y, Z ), c_Orderings_Oord__class_Oless__eq( X,
% 0.93/1.56 c_Groups_Ozero__class_Ozero( X ), Y ) }.
% 0.93/1.56 { ! c_Orderings_Oord__class_Oless__eq( X, c_Groups_Ozero__class_Ozero( X )
% 0.93/1.56 , Z ), ! c_Orderings_Oord__class_Oless__eq( X,
% 0.93/1.56 c_Groups_Ozero__class_Ozero( X ), Y ), alpha10( X, Y, Z ) }.
% 0.93/1.56 { ! class_Rings_Olinordered__ring( X ), c_Orderings_Oord__class_Oless__eq(
% 0.93/1.56 X, c_Groups_Ozero__class_Ozero( X ), hAPP( hAPP(
% 0.93/1.56 c_Groups_Otimes__class_Otimes( X ), Y ), Y ) ) }.
% 0.93/1.56 { ! class_Rings_Olinordered__ring__strict( X ), !
% 0.93/1.56 c_Orderings_Oord__class_Oless( X, Z, Y ), ! c_Orderings_Oord__class_Oless
% 0.93/1.56 ( X, T, c_Groups_Ozero__class_Ozero( X ) ), c_Orderings_Oord__class_Oless
% 0.93/1.56 ( X, hAPP( hAPP( c_Groups_Otimes__class_Otimes( X ), T ), Y ), hAPP( hAPP
% 0.93/1.56 ( c_Groups_Otimes__class_Otimes( X ), T ), Z ) ) }.
% 0.93/1.56 { ! class_Rings_Olinordered__ring__strict( X ), !
% 0.93/1.56 c_Orderings_Oord__class_Oless( X, Z, Y ), ! c_Orderings_Oord__class_Oless
% 0.93/1.56 ( X, T, c_Groups_Ozero__class_Ozero( X ) ), c_Orderings_Oord__class_Oless
% 0.93/1.56 ( X, hAPP( hAPP( c_Groups_Otimes__class_Otimes( X ), Y ), T ), hAPP( hAPP
% 0.93/1.56 ( c_Groups_Otimes__class_Otimes( X ), Z ), T ) ) }.
% 0.93/1.56 { ! class_Rings_Olinordered__comm__semiring__strict( X ), !
% 0.93/1.56 c_Orderings_Oord__class_Oless( X, Z, Y ), ! c_Orderings_Oord__class_Oless
% 0.93/1.56 ( X, c_Groups_Ozero__class_Ozero( X ), T ), c_Orderings_Oord__class_Oless
% 0.93/1.56 ( X, hAPP( hAPP( c_Groups_Otimes__class_Otimes( X ), T ), Z ), hAPP( hAPP
% 0.93/1.56 ( c_Groups_Otimes__class_Otimes( X ), T ), Y ) ) }.
% 0.93/1.56 { ! class_Rings_Olinordered__semiring__strict( X ), !
% 0.93/1.56 c_Orderings_Oord__class_Oless( X, Z, Y ), ! c_Orderings_Oord__class_Oless
% 0.93/1.56 ( X, c_Groups_Ozero__class_Ozero( X ), T ), c_Orderings_Oord__class_Oless
% 0.93/1.56 ( X, hAPP( hAPP( c_Groups_Otimes__class_Otimes( X ), T ), Z ), hAPP( hAPP
% 0.93/1.56 ( c_Groups_Otimes__class_Otimes( X ), T ), Y ) ) }.
% 0.93/1.56 { ! class_Rings_Olinordered__semiring__strict( X ), !
% 0.93/1.56 c_Orderings_Oord__class_Oless( X, Z, Y ), ! c_Orderings_Oord__class_Oless
% 0.93/1.56 ( X, c_Groups_Ozero__class_Ozero( X ), T ), c_Orderings_Oord__class_Oless
% 0.93/1.56 ( X, hAPP( hAPP( c_Groups_Otimes__class_Otimes( X ), Z ), T ), hAPP( hAPP
% 0.93/1.56 ( c_Groups_Otimes__class_Otimes( X ), Y ), T ) ) }.
% 0.93/1.56 { ! class_Rings_Olinordered__ring__strict( X ), !
% 0.93/1.56 c_Orderings_Oord__class_Oless( X, Y, c_Groups_Ozero__class_Ozero( X ) ),
% 0.93/1.56 ! c_Orderings_Oord__class_Oless( X, Z, c_Groups_Ozero__class_Ozero( X ) )
% 0.93/1.56 , c_Orderings_Oord__class_Oless( X, c_Groups_Ozero__class_Ozero( X ),
% 0.93/1.56 hAPP( hAPP( c_Groups_Otimes__class_Otimes( X ), Y ), Z ) ) }.
% 0.93/1.56 { ! class_Rings_Olinordered__semiring__strict( X ), !
% 0.93/1.56 c_Orderings_Oord__class_Oless( X, Y, c_Groups_Ozero__class_Ozero( X ) ),
% 0.93/1.56 ! c_Orderings_Oord__class_Oless( X, c_Groups_Ozero__class_Ozero( X ), Z )
% 0.93/1.56 , c_Orderings_Oord__class_Oless( X, hAPP( hAPP(
% 0.93/1.56 c_Groups_Otimes__class_Otimes( X ), Y ), Z ), c_Groups_Ozero__class_Ozero
% 0.93/1.56 ( X ) ) }.
% 0.93/1.56 { ! class_Rings_Olinordered__ring__strict( X ), !
% 0.93/1.56 c_Orderings_Oord__class_Oless( X, Y, c_Groups_Ozero__class_Ozero( X ) ),
% 0.93/1.56 ! c_Orderings_Oord__class_Oless( X, hAPP( hAPP(
% 0.93/1.56 c_Groups_Otimes__class_Otimes( X ), Y ), T ), hAPP( hAPP(
% 0.93/1.56 c_Groups_Otimes__class_Otimes( X ), Y ), Z ) ),
% 0.93/1.56 c_Orderings_Oord__class_Oless( X, Z, T ) }.
% 0.93/1.56 { ! class_Rings_Olinordered__ring__strict( X ), !
% 0.93/1.56 c_Orderings_Oord__class_Oless( X, Y, c_Groups_Ozero__class_Ozero( X ) ),
% 0.93/1.56 ! c_Orderings_Oord__class_Oless( X, Z, T ), c_Orderings_Oord__class_Oless
% 0.93/1.56 ( X, hAPP( hAPP( c_Groups_Otimes__class_Otimes( X ), Y ), T ), hAPP( hAPP
% 0.93/1.56 ( c_Groups_Otimes__class_Otimes( X ), Y ), Z ) ) }.
% 0.93/1.56 { ! class_Rings_Olinordered__semiring__strict( X ), !
% 0.93/1.56 c_Orderings_Oord__class_Oless( X, c_Groups_Ozero__class_Ozero( X ), hAPP
% 0.93/1.56 ( hAPP( c_Groups_Otimes__class_Otimes( X ), Z ), Y ) ), !
% 0.93/1.56 c_Orderings_Oord__class_Oless( X, c_Groups_Ozero__class_Ozero( X ), Y ),
% 0.93/1.56 c_Orderings_Oord__class_Oless( X, c_Groups_Ozero__class_Ozero( X ), Z ) }
% 0.93/1.56 .
% 0.93/1.56 { ! class_Rings_Olinordered__semiring__strict( X ), !
% 0.93/1.56 c_Orderings_Oord__class_Oless( X, c_Groups_Ozero__class_Ozero( X ), hAPP
% 0.93/1.56 ( hAPP( c_Groups_Otimes__class_Otimes( X ), Z ), Y ) ), !
% 0.93/1.56 c_Orderings_Oord__class_Oless( X, c_Groups_Ozero__class_Ozero( X ), Z ),
% 0.93/1.56 c_Orderings_Oord__class_Oless( X, c_Groups_Ozero__class_Ozero( X ), Y ) }
% 0.93/1.56 .
% 0.93/1.56 { ! class_Rings_Olinordered__semiring__strict( X ), !
% 0.93/1.56 c_Orderings_Oord__class_Oless( X, c_Groups_Ozero__class_Ozero( X ), Y ),
% 0.93/1.56 ! c_Orderings_Oord__class_Oless( X, Z, c_Groups_Ozero__class_Ozero( X ) )
% 0.93/1.56 , c_Orderings_Oord__class_Oless( X, hAPP( hAPP(
% 0.93/1.56 c_Groups_Otimes__class_Otimes( X ), Z ), Y ), c_Groups_Ozero__class_Ozero
% 0.93/1.56 ( X ) ) }.
% 0.93/1.56 { ! class_Rings_Olinordered__semiring__strict( X ), !
% 0.93/1.56 c_Orderings_Oord__class_Oless( X, c_Groups_Ozero__class_Ozero( X ), Y ),
% 0.93/1.56 ! c_Orderings_Oord__class_Oless( X, Z, c_Groups_Ozero__class_Ozero( X ) )
% 0.93/1.56 , c_Orderings_Oord__class_Oless( X, hAPP( hAPP(
% 0.93/1.56 c_Groups_Otimes__class_Otimes( X ), Y ), Z ), c_Groups_Ozero__class_Ozero
% 0.93/1.56 ( X ) ) }.
% 0.93/1.56 { ! class_Rings_Olinordered__semiring__strict( X ), !
% 0.93/1.56 c_Orderings_Oord__class_Oless( X, c_Groups_Ozero__class_Ozero( X ), Y ),
% 0.93/1.56 ! c_Orderings_Oord__class_Oless( X, c_Groups_Ozero__class_Ozero( X ), Z )
% 0.93/1.56 , c_Orderings_Oord__class_Oless( X, c_Groups_Ozero__class_Ozero( X ),
% 0.93/1.56 hAPP( hAPP( c_Groups_Otimes__class_Otimes( X ), Y ), Z ) ) }.
% 0.93/1.56 { ! class_Rings_Olinordered__ring__strict( X ), !
% 0.93/1.56 c_Orderings_Oord__class_Oless( X, c_Groups_Ozero__class_Ozero( X ), Y ),
% 0.93/1.56 ! c_Orderings_Oord__class_Oless( X, hAPP( hAPP(
% 0.93/1.56 c_Groups_Otimes__class_Otimes( X ), Y ), T ), hAPP( hAPP(
% 0.93/1.56 c_Groups_Otimes__class_Otimes( X ), Y ), Z ) ),
% 0.93/1.56 c_Orderings_Oord__class_Oless( X, T, Z ) }.
% 0.93/1.56 { ! class_Rings_Olinordered__ring__strict( X ), !
% 0.93/1.56 c_Orderings_Oord__class_Oless( X, c_Groups_Ozero__class_Ozero( X ), Y ),
% 0.93/1.56 ! c_Orderings_Oord__class_Oless( X, T, Z ), c_Orderings_Oord__class_Oless
% 0.93/1.56 ( X, hAPP( hAPP( c_Groups_Otimes__class_Otimes( X ), Y ), T ), hAPP( hAPP
% 0.93/1.56 ( c_Groups_Otimes__class_Otimes( X ), Y ), Z ) ) }.
% 0.93/1.56 { ! class_Rings_Olinordered__ring__strict( X ), !
% 0.93/1.56 c_Orderings_Oord__class_Oless( X, hAPP( hAPP(
% 0.93/1.56 c_Groups_Otimes__class_Otimes( X ), T ), Z ), hAPP( hAPP(
% 0.93/1.56 c_Groups_Otimes__class_Otimes( X ), T ), Y ) ), alpha11( X, Y, Z, T ),
% 0.93/1.56 alpha25( X, Y, Z, T ) }.
% 0.93/1.56 { ! class_Rings_Olinordered__ring__strict( X ), ! alpha11( X, Y, Z, T ),
% 0.93/1.56 c_Orderings_Oord__class_Oless( X, hAPP( hAPP(
% 0.93/1.56 c_Groups_Otimes__class_Otimes( X ), T ), Z ), hAPP( hAPP(
% 0.93/1.56 c_Groups_Otimes__class_Otimes( X ), T ), Y ) ) }.
% 0.93/1.56 { ! class_Rings_Olinordered__ring__strict( X ), ! alpha25( X, Y, Z, T ),
% 0.93/1.56 c_Orderings_Oord__class_Oless( X, hAPP( hAPP(
% 0.93/1.56 c_Groups_Otimes__class_Otimes( X ), T ), Z ), hAPP( hAPP(
% 0.93/1.56 c_Groups_Otimes__class_Otimes( X ), T ), Y ) ) }.
% 0.93/1.56 { ! alpha25( X, Y, Z, T ), c_Orderings_Oord__class_Oless( X, T,
% 0.93/1.56 c_Groups_Ozero__class_Ozero( X ) ) }.
% 0.93/1.56 { ! alpha25( X, Y, Z, T ), c_Orderings_Oord__class_Oless( X, Y, Z ) }.
% 0.93/1.56 { ! c_Orderings_Oord__class_Oless( X, T, c_Groups_Ozero__class_Ozero( X ) )
% 0.93/1.56 , ! c_Orderings_Oord__class_Oless( X, Y, Z ), alpha25( X, Y, Z, T ) }.
% 0.93/1.56 { ! alpha11( X, Y, Z, T ), c_Orderings_Oord__class_Oless( X,
% 0.93/1.56 c_Groups_Ozero__class_Ozero( X ), T ) }.
% 0.93/1.56 { ! alpha11( X, Y, Z, T ), c_Orderings_Oord__class_Oless( X, Z, Y ) }.
% 0.93/1.56 { ! c_Orderings_Oord__class_Oless( X, c_Groups_Ozero__class_Ozero( X ), T )
% 0.93/1.56 , ! c_Orderings_Oord__class_Oless( X, Z, Y ), alpha11( X, Y, Z, T ) }.
% 0.93/1.56 { ! class_Rings_Olinordered__ring__strict( X ), !
% 0.93/1.56 c_Orderings_Oord__class_Oless( X, hAPP( hAPP(
% 0.93/1.56 c_Groups_Otimes__class_Otimes( X ), T ), Z ), hAPP( hAPP(
% 0.93/1.56 c_Groups_Otimes__class_Otimes( X ), Y ), Z ) ), alpha12( X, Y, Z, T ),
% 0.93/1.56 alpha26( X, Y, Z, T ) }.
% 0.93/1.56 { ! class_Rings_Olinordered__ring__strict( X ), ! alpha12( X, Y, Z, T ),
% 0.93/1.56 c_Orderings_Oord__class_Oless( X, hAPP( hAPP(
% 0.93/1.56 c_Groups_Otimes__class_Otimes( X ), T ), Z ), hAPP( hAPP(
% 0.93/1.56 c_Groups_Otimes__class_Otimes( X ), Y ), Z ) ) }.
% 0.93/1.56 { ! class_Rings_Olinordered__ring__strict( X ), ! alpha26( X, Y, Z, T ),
% 0.93/1.56 c_Orderings_Oord__class_Oless( X, hAPP( hAPP(
% 0.93/1.56 c_Groups_Otimes__class_Otimes( X ), T ), Z ), hAPP( hAPP(
% 0.93/1.56 c_Groups_Otimes__class_Otimes( X ), Y ), Z ) ) }.
% 0.93/1.56 { ! alpha26( X, Y, Z, T ), c_Orderings_Oord__class_Oless( X, Z,
% 0.93/1.56 c_Groups_Ozero__class_Ozero( X ) ) }.
% 0.93/1.56 { ! alpha26( X, Y, Z, T ), c_Orderings_Oord__class_Oless( X, Y, T ) }.
% 0.93/1.56 { ! c_Orderings_Oord__class_Oless( X, Z, c_Groups_Ozero__class_Ozero( X ) )
% 0.93/1.56 , ! c_Orderings_Oord__class_Oless( X, Y, T ), alpha26( X, Y, Z, T ) }.
% 0.93/1.56 { ! alpha12( X, Y, Z, T ), c_Orderings_Oord__class_Oless( X,
% 0.93/1.56 c_Groups_Ozero__class_Ozero( X ), Z ) }.
% 0.93/1.56 { ! alpha12( X, Y, Z, T ), c_Orderings_Oord__class_Oless( X, T, Y ) }.
% 0.93/1.56 { ! c_Orderings_Oord__class_Oless( X, c_Groups_Ozero__class_Ozero( X ), Z )
% 0.93/1.56 , ! c_Orderings_Oord__class_Oless( X, T, Y ), alpha12( X, Y, Z, T ) }.
% 0.93/1.56 { ! class_Rings_Olinordered__ring( X ), ! c_Orderings_Oord__class_Oless( X
% 0.93/1.56 , hAPP( hAPP( c_Groups_Otimes__class_Otimes( X ), Y ), Y ),
% 0.93/1.56 c_Groups_Ozero__class_Ozero( X ) ) }.
% 0.93/1.56 { ! c_Orderings_Oord__class_Oless__eq( tc_RealDef_Oreal,
% 0.93/1.56 c_Groups_Ozero__class_Ozero( tc_RealDef_Oreal ), X ), !
% 0.93/1.56 c_Orderings_Oord__class_Oless__eq( tc_RealDef_Oreal,
% 0.93/1.56 c_Groups_Ozero__class_Ozero( tc_RealDef_Oreal ), Y ),
% 0.93/1.56 c_Orderings_Oord__class_Oless__eq( tc_Nat_Onat, hAPP( hAPP(
% 0.93/1.56 c_Groups_Otimes__class_Otimes( tc_Nat_Onat ), c_RComplete_Onatfloor( X )
% 0.93/1.56 ), c_RComplete_Onatfloor( Y ) ), c_RComplete_Onatfloor( hAPP( hAPP(
% 0.93/1.56 c_Groups_Otimes__class_Otimes( tc_RealDef_Oreal ), X ), Y ) ) ) }.
% 0.93/1.56 { ! class_Rings_Olinordered__semidom( X ), ! c_Orderings_Oord__class_Oless
% 0.93/1.56 ( X, c_Groups_Oone__class_Oone( X ), Y ), ! c_Orderings_Oord__class_Oless
% 0.93/1.56 ( X, c_Groups_Oone__class_Oone( X ), Z ), c_Orderings_Oord__class_Oless(
% 0.93/1.56 X, c_Groups_Oone__class_Oone( X ), hAPP( hAPP(
% 0.93/1.56 c_Groups_Otimes__class_Otimes( X ), Y ), Z ) ) }.
% 0.93/1.56 { ! c_Finite__Set_Ofold1Set( Y, T, X, Z ), ! X =
% 0.93/1.56 c_Orderings_Obot__class_Obot( tc_fun( Y, tc_HOL_Obool ) ) }.
% 0.93/1.56 { ! c_Finite__Set_Ofold1Set( Z, Y, c_Orderings_Obot__class_Obot( tc_fun( Z
% 0.93/1.56 , tc_HOL_Obool ) ), X ) }.
% 0.93/1.56 { ! c_Orderings_Oord__class_Oless( tc_Nat_Onat, c_Groups_Ozero__class_Ozero
% 0.93/1.56 ( tc_Nat_Onat ), hAPP( hAPP( c_Groups_Otimes__class_Otimes( tc_Nat_Onat )
% 0.93/1.56 , Y ), X ) ), c_Orderings_Oord__class_Oless( tc_Nat_Onat,
% 0.93/1.56 c_Groups_Ozero__class_Ozero( tc_Nat_Onat ), Y ) }.
% 0.93/1.56 { ! c_Orderings_Oord__class_Oless( tc_Nat_Onat, c_Groups_Ozero__class_Ozero
% 0.93/1.56 ( tc_Nat_Onat ), hAPP( hAPP( c_Groups_Otimes__class_Otimes( tc_Nat_Onat )
% 0.93/1.56 , Y ), X ) ), c_Orderings_Oord__class_Oless( tc_Nat_Onat,
% 0.93/1.56 c_Groups_Ozero__class_Ozero( tc_Nat_Onat ), X ) }.
% 0.93/1.56 { ! c_Orderings_Oord__class_Oless( tc_Nat_Onat, c_Groups_Ozero__class_Ozero
% 0.93/1.56 ( tc_Nat_Onat ), Y ), ! c_Orderings_Oord__class_Oless( tc_Nat_Onat,
% 0.93/1.56 c_Groups_Ozero__class_Ozero( tc_Nat_Onat ), X ),
% 0.93/1.56 c_Orderings_Oord__class_Oless( tc_Nat_Onat, c_Groups_Ozero__class_Ozero(
% 0.93/1.56 tc_Nat_Onat ), hAPP( hAPP( c_Groups_Otimes__class_Otimes( tc_Nat_Onat ),
% 0.93/1.56 Y ), X ) ) }.
% 0.93/1.56 { ! c_Orderings_Oord__class_Oless( tc_Nat_Onat, hAPP( hAPP(
% 0.93/1.56 c_Groups_Otimes__class_Otimes( tc_Nat_Onat ), Z ), Y ), hAPP( hAPP(
% 0.93/1.56 c_Groups_Otimes__class_Otimes( tc_Nat_Onat ), Z ), X ) ),
% 0.93/1.56 c_Orderings_Oord__class_Oless( tc_Nat_Onat, c_Groups_Ozero__class_Ozero(
% 0.93/1.56 tc_Nat_Onat ), Z ) }.
% 0.93/1.56 { ! c_Orderings_Oord__class_Oless( tc_Nat_Onat, hAPP( hAPP(
% 0.93/1.56 c_Groups_Otimes__class_Otimes( tc_Nat_Onat ), Z ), Y ), hAPP( hAPP(
% 0.93/1.56 c_Groups_Otimes__class_Otimes( tc_Nat_Onat ), Z ), X ) ),
% 0.93/1.56 c_Orderings_Oord__class_Oless( tc_Nat_Onat, Y, X ) }.
% 0.93/1.56 { ! c_Orderings_Oord__class_Oless( tc_Nat_Onat, c_Groups_Ozero__class_Ozero
% 0.93/1.56 ( tc_Nat_Onat ), Z ), ! c_Orderings_Oord__class_Oless( tc_Nat_Onat, Y, X
% 0.93/1.56 ), c_Orderings_Oord__class_Oless( tc_Nat_Onat, hAPP( hAPP(
% 0.93/1.56 c_Groups_Otimes__class_Otimes( tc_Nat_Onat ), Z ), Y ), hAPP( hAPP(
% 0.93/1.56 c_Groups_Otimes__class_Otimes( tc_Nat_Onat ), Z ), X ) ) }.
% 0.93/1.56 { ! c_Orderings_Oord__class_Oless( tc_Nat_Onat, hAPP( hAPP(
% 0.93/1.56 c_Groups_Otimes__class_Otimes( tc_Nat_Onat ), Z ), Y ), hAPP( hAPP(
% 0.93/1.56 c_Groups_Otimes__class_Otimes( tc_Nat_Onat ), X ), Y ) ),
% 0.93/1.56 c_Orderings_Oord__class_Oless( tc_Nat_Onat, c_Groups_Ozero__class_Ozero(
% 0.93/1.56 tc_Nat_Onat ), Y ) }.
% 0.93/1.56 { ! c_Orderings_Oord__class_Oless( tc_Nat_Onat, hAPP( hAPP(
% 0.93/1.56 c_Groups_Otimes__class_Otimes( tc_Nat_Onat ), Z ), Y ), hAPP( hAPP(
% 0.93/1.56 c_Groups_Otimes__class_Otimes( tc_Nat_Onat ), X ), Y ) ),
% 0.93/1.56 c_Orderings_Oord__class_Oless( tc_Nat_Onat, Z, X ) }.
% 0.93/1.56 { ! c_Orderings_Oord__class_Oless( tc_Nat_Onat, c_Groups_Ozero__class_Ozero
% 0.93/1.56 ( tc_Nat_Onat ), Y ), ! c_Orderings_Oord__class_Oless( tc_Nat_Onat, Z, X
% 0.93/1.56 ), c_Orderings_Oord__class_Oless( tc_Nat_Onat, hAPP( hAPP(
% 0.93/1.56 c_Groups_Otimes__class_Otimes( tc_Nat_Onat ), Z ), Y ), hAPP( hAPP(
% 0.93/1.56 c_Groups_Otimes__class_Otimes( tc_Nat_Onat ), X ), Y ) ) }.
% 0.93/1.56 { ! c_Orderings_Oord__class_Oless( tc_Nat_Onat, Y, X ), !
% 0.93/1.56 c_Orderings_Oord__class_Oless( tc_Nat_Onat, c_Groups_Ozero__class_Ozero(
% 0.93/1.56 tc_Nat_Onat ), Z ), c_Orderings_Oord__class_Oless( tc_Nat_Onat, hAPP(
% 0.93/1.56 hAPP( c_Groups_Otimes__class_Otimes( tc_Nat_Onat ), Y ), Z ), hAPP( hAPP
% 0.93/1.56 ( c_Groups_Otimes__class_Otimes( tc_Nat_Onat ), X ), Z ) ) }.
% 0.93/1.56 { ! c_Orderings_Oord__class_Oless( tc_Nat_Onat, Y, X ), !
% 0.93/1.56 c_Orderings_Oord__class_Oless( tc_Nat_Onat, c_Groups_Ozero__class_Ozero(
% 0.93/1.56 tc_Nat_Onat ), Z ), c_Orderings_Oord__class_Oless( tc_Nat_Onat, hAPP(
% 0.93/1.56 hAPP( c_Groups_Otimes__class_Otimes( tc_Nat_Onat ), Z ), Y ), hAPP( hAPP
% 0.93/1.56 ( c_Groups_Otimes__class_Otimes( tc_Nat_Onat ), Z ), X ) ) }.
% 0.93/1.56 { ! c_Orderings_Oord__class_Oless( tc_RealDef_Oreal,
% 0.93/1.56 c_Groups_Ozero__class_Ozero( tc_RealDef_Oreal ), X ), !
% 0.93/1.56 c_Orderings_Oord__class_Oless( tc_RealDef_Oreal, hAPP( hAPP(
% 0.93/1.56 c_Groups_Otimes__class_Otimes( tc_RealDef_Oreal ), Z ), X ), hAPP( hAPP(
% 0.93/1.56 c_Groups_Otimes__class_Otimes( tc_RealDef_Oreal ), Y ), X ) ),
% 0.93/1.56 c_Orderings_Oord__class_Oless( tc_RealDef_Oreal, Z, Y ) }.
% 0.93/1.56 { ! c_Orderings_Oord__class_Oless( tc_RealDef_Oreal,
% 0.93/1.56 c_Groups_Ozero__class_Ozero( tc_RealDef_Oreal ), X ), !
% 0.93/1.56 c_Orderings_Oord__class_Oless( tc_RealDef_Oreal, Z, Y ),
% 0.93/1.56 c_Orderings_Oord__class_Oless( tc_RealDef_Oreal, hAPP( hAPP(
% 0.93/1.56 c_Groups_Otimes__class_Otimes( tc_RealDef_Oreal ), Z ), X ), hAPP( hAPP(
% 0.93/1.56 c_Groups_Otimes__class_Otimes( tc_RealDef_Oreal ), Y ), X ) ) }.
% 0.93/1.56 { ! c_Orderings_Oord__class_Oless( tc_RealDef_Oreal,
% 0.93/1.56 c_Groups_Ozero__class_Ozero( tc_RealDef_Oreal ), X ), !
% 0.93/1.56 c_Orderings_Oord__class_Oless( tc_RealDef_Oreal,
% 0.93/1.56 c_Groups_Ozero__class_Ozero( tc_RealDef_Oreal ), Y ),
% 0.93/1.56 c_Orderings_Oord__class_Oless( tc_RealDef_Oreal,
% 0.93/1.56 c_Groups_Ozero__class_Ozero( tc_RealDef_Oreal ), hAPP( hAPP(
% 0.93/1.56 c_Groups_Otimes__class_Otimes( tc_RealDef_Oreal ), X ), Y ) ) }.
% 0.93/1.56 { ! c_Orderings_Oord__class_Oless( tc_RealDef_Oreal,
% 0.93/1.56 c_Groups_Ozero__class_Ozero( tc_RealDef_Oreal ), X ), !
% 0.93/1.56 c_Orderings_Oord__class_Oless( tc_RealDef_Oreal, Z, Y ),
% 0.93/1.56 c_Orderings_Oord__class_Oless( tc_RealDef_Oreal, hAPP( hAPP(
% 0.93/1.56 c_Groups_Otimes__class_Otimes( tc_RealDef_Oreal ), X ), Z ), hAPP( hAPP(
% 0.93/1.56 c_Groups_Otimes__class_Otimes( tc_RealDef_Oreal ), X ), Y ) ) }.
% 0.93/1.56 { c_RealDef_Oreal( tc_Nat_Onat, c_Groups_Oone__class_Oone( tc_Nat_Onat ) )
% 0.93/1.56 = c_Groups_Oone__class_Oone( tc_RealDef_Oreal ) }.
% 0.93/1.56 { ! class_Rings_Osemiring__1( X ), ! c_member( X, Y,
% 0.93/1.56 c_Nat_Osemiring__1__class_ONats( X ) ), ! c_member( X, Z,
% 0.93/1.56 c_Nat_Osemiring__1__class_ONats( X ) ), c_member( X,
% 0.93/1.56 c_Groups_Oplus__class_Oplus( X, Y, Z ), c_Nat_Osemiring__1__class_ONats(
% 0.93/1.56 X ) ) }.
% 0.93/1.56 { ! class_Rings_Osemiring__1( X ), ! c_member( X, Y,
% 0.93/1.56 c_Nat_Osemiring__1__class_ONats( X ) ), ! c_member( X, Z,
% 0.93/1.56 c_Nat_Osemiring__1__class_ONats( X ) ), c_member( X, hAPP( hAPP(
% 0.93/1.56 c_Groups_Otimes__class_Otimes( X ), Y ), Z ),
% 0.93/1.56 c_Nat_Osemiring__1__class_ONats( X ) ) }.
% 0.93/1.56 { c_RComplete_Onatfloor( c_Groups_Oone__class_Oone( tc_RealDef_Oreal ) ) =
% 0.93/1.56 c_Groups_Oone__class_Oone( tc_Nat_Onat ) }.
% 0.93/1.56 { c_RComplete_Onatceiling( c_Groups_Oone__class_Oone( tc_RealDef_Oreal ) )
% 0.93/1.56 = c_Groups_Oone__class_Oone( tc_Nat_Onat ) }.
% 0.93/1.56 { ! class_Groups_Oordered__comm__monoid__add( X ), !
% 0.93/1.56 c_Orderings_Oord__class_Oless( X, c_Groups_Ozero__class_Ozero( X ), Y ),
% 0.93/1.56 ! c_Orderings_Oord__class_Oless__eq( X, c_Groups_Ozero__class_Ozero( X )
% 0.93/1.56 , Z ), c_Orderings_Oord__class_Oless( X, c_Groups_Ozero__class_Ozero( X )
% 0.93/1.56 , c_Groups_Oplus__class_Oplus( X, Y, Z ) ) }.
% 0.93/1.56 { ! class_Groups_Oordered__comm__monoid__add( X ), !
% 0.93/1.56 c_Orderings_Oord__class_Oless__eq( X, c_Groups_Ozero__class_Ozero( X ), Y
% 0.93/1.56 ), ! c_Orderings_Oord__class_Oless( X, c_Groups_Ozero__class_Ozero( X )
% 0.93/1.56 , Z ), c_Orderings_Oord__class_Oless( X, c_Groups_Ozero__class_Ozero( X )
% 0.93/1.56 , c_Groups_Oplus__class_Oplus( X, Y, Z ) ) }.
% 0.93/1.56 { ! class_Groups_Oordered__comm__monoid__add( X ), !
% 0.93/1.56 c_Orderings_Oord__class_Oless( X, c_Groups_Ozero__class_Ozero( X ), Y ),
% 0.93/1.56 ! c_Orderings_Oord__class_Oless__eq( X, T, Z ),
% 0.93/1.56 c_Orderings_Oord__class_Oless( X, T, c_Groups_Oplus__class_Oplus( X, Y, Z
% 0.93/1.56 ) ) }.
% 0.93/1.56 { ! class_Groups_Oordered__comm__monoid__add( X ), !
% 0.93/1.56 c_Orderings_Oord__class_Oless__eq( X, c_Groups_Ozero__class_Ozero( X ), Y
% 0.93/1.56 ), ! c_Orderings_Oord__class_Oless( X, T, Z ),
% 0.93/1.56 c_Orderings_Oord__class_Oless( X, T, c_Groups_Oplus__class_Oplus( X, Y, Z
% 0.93/1.56 ) ) }.
% 0.93/1.56 { ! class_Groups_Oordered__comm__monoid__add( X ), !
% 0.93/1.56 c_Orderings_Oord__class_Oless( X, Y, c_Groups_Ozero__class_Ozero( X ) ),
% 0.93/1.56 ! c_Orderings_Oord__class_Oless__eq( X, Z, c_Groups_Ozero__class_Ozero( X
% 0.93/1.56 ) ), c_Orderings_Oord__class_Oless( X, c_Groups_Oplus__class_Oplus( X, Y
% 0.93/1.56 , Z ), c_Groups_Ozero__class_Ozero( X ) ) }.
% 0.93/1.56 { ! class_Groups_Oordered__comm__monoid__add( X ), !
% 0.93/1.56 c_Orderings_Oord__class_Oless__eq( X, Y, c_Groups_Ozero__class_Ozero( X )
% 0.93/1.56 ), ! c_Orderings_Oord__class_Oless( X, Z, c_Groups_Ozero__class_Ozero( X
% 0.93/1.56 ) ), c_Orderings_Oord__class_Oless( X, c_Groups_Oplus__class_Oplus( X, Y
% 0.93/1.56 , Z ), c_Groups_Ozero__class_Ozero( X ) ) }.
% 0.93/1.56 { ! class_Rings_Olinordered__semidom( X ), c_Orderings_Oord__class_Oless( X
% 0.93/1.56 , c_Groups_Ozero__class_Ozero( X ), c_Groups_Oplus__class_Oplus( X,
% 0.93/1.56 c_Groups_Oone__class_Oone( X ), c_Groups_Oone__class_Oone( X ) ) ) }.
% 0.93/1.56 { ! class_Rings_Olinordered__semiring__strict( X ), !
% 0.93/1.56 c_Orderings_Oord__class_Oless__eq( X, hAPP( hAPP(
% 0.93/1.56 c_Groups_Otimes__class_Otimes( X ), T ), Z ), hAPP( hAPP(
% 0.93/1.56 c_Groups_Otimes__class_Otimes( X ), T ), Y ) ), !
% 0.93/1.56 c_Orderings_Oord__class_Oless( X, c_Groups_Ozero__class_Ozero( X ), T ),
% 0.93/1.56 c_Orderings_Oord__class_Oless__eq( X, Z, Y ) }.
% 0.93/1.56 { ! class_Rings_Olinordered__semiring__strict( X ), !
% 0.93/1.56 c_Orderings_Oord__class_Oless__eq( X, hAPP( hAPP(
% 0.93/1.56 c_Groups_Otimes__class_Otimes( X ), T ), Z ), hAPP( hAPP(
% 0.93/1.56 c_Groups_Otimes__class_Otimes( X ), Y ), Z ) ), !
% 0.93/1.56 c_Orderings_Oord__class_Oless( X, c_Groups_Ozero__class_Ozero( X ), Z ),
% 0.93/1.56 c_Orderings_Oord__class_Oless__eq( X, T, Y ) }.
% 0.93/1.56 { ! class_Rings_Olinordered__semiring__strict( X ), !
% 0.93/1.56 c_Orderings_Oord__class_Oless( X, hAPP( hAPP(
% 0.93/1.56 c_Groups_Otimes__class_Otimes( X ), T ), Z ), hAPP( hAPP(
% 0.93/1.56 c_Groups_Otimes__class_Otimes( X ), T ), Y ) ), !
% 0.93/1.56 c_Orderings_Oord__class_Oless__eq( X, c_Groups_Ozero__class_Ozero( X ), T
% 0.93/1.56 ), c_Orderings_Oord__class_Oless( X, Z, Y ) }.
% 0.93/1.56 { ! class_Rings_Olinordered__semiring( X ), ! c_Orderings_Oord__class_Oless
% 0.93/1.56 ( X, hAPP( hAPP( c_Groups_Otimes__class_Otimes( X ), T ), Z ), hAPP( hAPP
% 0.93/1.56 ( c_Groups_Otimes__class_Otimes( X ), T ), Y ) ), !
% 0.93/1.56 c_Orderings_Oord__class_Oless__eq( X, c_Groups_Ozero__class_Ozero( X ), T
% 0.93/1.56 ), c_Orderings_Oord__class_Oless( X, Z, Y ) }.
% 0.93/1.56 { ! class_Rings_Olinordered__semiring__strict( X ), !
% 0.93/1.56 c_Orderings_Oord__class_Oless( X, hAPP( hAPP(
% 0.93/1.56 c_Groups_Otimes__class_Otimes( X ), T ), Z ), hAPP( hAPP(
% 0.93/1.56 c_Groups_Otimes__class_Otimes( X ), Y ), Z ) ), !
% 0.93/1.56 c_Orderings_Oord__class_Oless__eq( X, c_Groups_Ozero__class_Ozero( X ), Z
% 0.93/1.56 ), c_Orderings_Oord__class_Oless( X, T, Y ) }.
% 0.93/1.56 { ! class_Rings_Olinordered__semiring( X ), ! c_Orderings_Oord__class_Oless
% 0.93/1.56 ( X, hAPP( hAPP( c_Groups_Otimes__class_Otimes( X ), T ), Z ), hAPP( hAPP
% 0.93/1.56 ( c_Groups_Otimes__class_Otimes( X ), Y ), Z ) ), !
% 0.93/1.56 c_Orderings_Oord__class_Oless__eq( X, c_Groups_Ozero__class_Ozero( X ), Z
% 0.93/1.56 ), c_Orderings_Oord__class_Oless( X, T, Y ) }.
% 0.93/1.56 { ! class_Rings_Olinordered__semiring__strict( X ), !
% 0.93/1.56 c_Orderings_Oord__class_Oless__eq( X, Z, Y ), !
% 0.93/1.56 c_Orderings_Oord__class_Oless( X, U, T ), ! c_Orderings_Oord__class_Oless
% 0.93/1.56 ( X, c_Groups_Ozero__class_Ozero( X ), Z ), !
% 0.93/1.56 c_Orderings_Oord__class_Oless__eq( X, c_Groups_Ozero__class_Ozero( X ), U
% 0.93/1.56 ), c_Orderings_Oord__class_Oless( X, hAPP( hAPP(
% 0.93/1.56 c_Groups_Otimes__class_Otimes( X ), Z ), U ), hAPP( hAPP(
% 0.93/1.56 c_Groups_Otimes__class_Otimes( X ), Y ), T ) ) }.
% 0.93/1.56 { ! class_Rings_Olinordered__semiring__strict( X ), !
% 0.93/1.56 c_Orderings_Oord__class_Oless( X, Z, Y ), !
% 0.93/1.56 c_Orderings_Oord__class_Oless__eq( X, U, T ), !
% 0.93/1.56 c_Orderings_Oord__class_Oless__eq( X, c_Groups_Ozero__class_Ozero( X ), Z
% 0.93/1.56 ), ! c_Orderings_Oord__class_Oless( X, c_Groups_Ozero__class_Ozero( X )
% 0.93/1.56 , U ), c_Orderings_Oord__class_Oless( X, hAPP( hAPP(
% 0.93/1.56 c_Groups_Otimes__class_Otimes( X ), Z ), U ), hAPP( hAPP(
% 0.93/1.56 c_Groups_Otimes__class_Otimes( X ), Y ), T ) ) }.
% 0.93/1.56 { ! class_Rings_Olinordered__semiring__strict( X ), !
% 0.93/1.56 c_Orderings_Oord__class_Oless( X, Z, Y ), ! c_Orderings_Oord__class_Oless
% 0.93/1.56 ( X, U, T ), ! c_Orderings_Oord__class_Oless__eq( X,
% 0.93/1.56 c_Groups_Ozero__class_Ozero( X ), Z ), !
% 0.93/1.56 c_Orderings_Oord__class_Oless__eq( X, c_Groups_Ozero__class_Ozero( X ), U
% 0.93/1.56 ), c_Orderings_Oord__class_Oless( X, hAPP( hAPP(
% 0.93/1.56 c_Groups_Otimes__class_Otimes( X ), Z ), U ), hAPP( hAPP(
% 0.93/1.56 c_Groups_Otimes__class_Otimes( X ), Y ), T ) ) }.
% 0.93/1.56 { ! class_Rings_Olinordered__semiring__strict( X ), !
% 0.93/1.56 c_Orderings_Oord__class_Oless( X, Z, Y ), ! c_Orderings_Oord__class_Oless
% 0.93/1.56 ( X, U, T ), ! c_Orderings_Oord__class_Oless( X,
% 0.93/1.56 c_Groups_Ozero__class_Ozero( X ), Y ), !
% 0.93/1.56 c_Orderings_Oord__class_Oless__eq( X, c_Groups_Ozero__class_Ozero( X ), U
% 0.93/1.56 ), c_Orderings_Oord__class_Oless( X, hAPP( hAPP(
% 0.93/1.56 c_Groups_Otimes__class_Otimes( X ), Z ), U ), hAPP( hAPP(
% 0.93/1.56 c_Groups_Otimes__class_Otimes( X ), Y ), T ) ) }.
% 0.93/1.56 { ! class_Rings_Olinordered__ring__strict( X ), !
% 0.93/1.56 c_Orderings_Oord__class_Oless( X, Y, c_Groups_Ozero__class_Ozero( X ) ),
% 0.93/1.56 ! c_Orderings_Oord__class_Oless__eq( X, hAPP( hAPP(
% 0.93/1.56 c_Groups_Otimes__class_Otimes( X ), Y ), T ), hAPP( hAPP(
% 0.93/1.56 c_Groups_Otimes__class_Otimes( X ), Y ), Z ) ),
% 0.93/1.56 c_Orderings_Oord__class_Oless__eq( X, Z, T ) }.
% 0.93/1.56 { ! class_Rings_Olinordered__ring__strict( X ), !
% 0.93/1.56 c_Orderings_Oord__class_Oless( X, Y, c_Groups_Ozero__class_Ozero( X ) ),
% 0.93/1.56 ! c_Orderings_Oord__class_Oless__eq( X, Z, T ),
% 0.93/1.56 c_Orderings_Oord__class_Oless__eq( X, hAPP( hAPP(
% 0.93/1.56 c_Groups_Otimes__class_Otimes( X ), Y ), T ), hAPP( hAPP(
% 0.93/1.56 c_Groups_Otimes__class_Otimes( X ), Y ), Z ) ) }.
% 0.93/1.56 { ! class_Rings_Olinordered__ring__strict( X ), !
% 0.93/1.56 c_Orderings_Oord__class_Oless( X, c_Groups_Ozero__class_Ozero( X ), Y ),
% 0.93/1.56 ! c_Orderings_Oord__class_Oless__eq( X, hAPP( hAPP(
% 0.93/1.56 c_Groups_Otimes__class_Otimes( X ), Y ), T ), hAPP( hAPP(
% 0.93/1.56 c_Groups_Otimes__class_Otimes( X ), Y ), Z ) ),
% 0.93/1.56 c_Orderings_Oord__class_Oless__eq( X, T, Z ) }.
% 0.93/1.56 { ! class_Rings_Olinordered__ring__strict( X ), !
% 0.93/1.56 c_Orderings_Oord__class_Oless( X, c_Groups_Ozero__class_Ozero( X ), Y ),
% 0.93/1.56 ! c_Orderings_Oord__class_Oless__eq( X, T, Z ),
% 0.93/1.56 c_Orderings_Oord__class_Oless__eq( X, hAPP( hAPP(
% 0.93/1.56 c_Groups_Otimes__class_Otimes( X ), Y ), T ), hAPP( hAPP(
% 0.93/1.56 c_Groups_Otimes__class_Otimes( X ), Y ), Z ) ) }.
% 0.93/1.56 { ! class_Rings_Olinordered__idom( X ), ! c_Orderings_Oord__class_Oless__eq
% 0.93/1.56 ( X, c_Groups_Ozero__class_Ozero( X ), Y ), !
% 0.93/1.56 c_Orderings_Oord__class_Oless__eq( X, c_Groups_Ozero__class_Ozero( X ), Z
% 0.93/1.56 ), ! c_Orderings_Oord__class_Oless__eq( X, Z, c_Groups_Oone__class_Oone
% 0.93/1.56 ( X ) ), c_Orderings_Oord__class_Oless__eq( X, hAPP( hAPP(
% 0.93/1.56 c_Groups_Otimes__class_Otimes( X ), Y ), Z ), Y ) }.
% 0.93/1.56 { ! class_Rings_Olinordered__idom( X ), ! c_Orderings_Oord__class_Oless__eq
% 0.93/1.56 ( X, c_Groups_Ozero__class_Ozero( X ), Y ), !
% 0.93/1.56 c_Orderings_Oord__class_Oless__eq( X, c_Groups_Ozero__class_Ozero( X ), Z
% 0.93/1.56 ), ! c_Orderings_Oord__class_Oless__eq( X, Z, c_Groups_Oone__class_Oone
% 0.93/1.56 ( X ) ), c_Orderings_Oord__class_Oless__eq( X, hAPP( hAPP(
% 0.93/1.56 c_Groups_Otimes__class_Otimes( X ), Z ), Y ), Y ) }.
% 0.93/1.56 { ! c_Orderings_Oord__class_Oless( tc_RealDef_Oreal,
% 0.93/1.56 c_Groups_Ozero__class_Ozero( tc_RealDef_Oreal ), X ), !
% 0.93/1.56 c_Orderings_Oord__class_Oless__eq( tc_RealDef_Oreal, hAPP( hAPP(
% 0.93/1.56 c_Groups_Otimes__class_Otimes( tc_RealDef_Oreal ), Z ), X ), hAPP( hAPP(
% 0.93/1.56 c_Groups_Otimes__class_Otimes( tc_RealDef_Oreal ), Y ), X ) ),
% 0.93/1.56 c_Orderings_Oord__class_Oless__eq( tc_RealDef_Oreal, Z, Y ) }.
% 0.93/1.56 { ! c_Orderings_Oord__class_Oless( tc_RealDef_Oreal,
% 0.93/1.56 c_Groups_Ozero__class_Ozero( tc_RealDef_Oreal ), X ), !
% 0.93/1.56 c_Orderings_Oord__class_Oless__eq( tc_RealDef_Oreal, Z, Y ),
% 0.93/1.56 c_Orderings_Oord__class_Oless__eq( tc_RealDef_Oreal, hAPP( hAPP(
% 0.93/1.56 c_Groups_Otimes__class_Otimes( tc_RealDef_Oreal ), Z ), X ), hAPP( hAPP(
% 0.93/1.56 c_Groups_Otimes__class_Otimes( tc_RealDef_Oreal ), Y ), X ) ) }.
% 0.93/1.56 { ! c_Orderings_Oord__class_Oless( tc_RealDef_Oreal,
% 0.93/1.56 c_Groups_Ozero__class_Ozero( tc_RealDef_Oreal ), X ), !
% 0.93/1.56 c_Orderings_Oord__class_Oless__eq( tc_RealDef_Oreal, hAPP( hAPP(
% 0.93/1.56 c_Groups_Otimes__class_Otimes( tc_RealDef_Oreal ), X ), Z ), hAPP( hAPP(
% 0.93/1.56 c_Groups_Otimes__class_Otimes( tc_RealDef_Oreal ), X ), Y ) ),
% 0.93/1.56 c_Orderings_Oord__class_Oless__eq( tc_RealDef_Oreal, Z, Y ) }.
% 0.93/1.56 { ! c_Orderings_Oord__class_Oless( tc_RealDef_Oreal,
% 0.93/1.56 c_Groups_Ozero__class_Ozero( tc_RealDef_Oreal ), X ), !
% 0.93/1.56 c_Orderings_Oord__class_Oless__eq( tc_RealDef_Oreal, Z, Y ),
% 0.93/1.56 c_Orderings_Oord__class_Oless__eq( tc_RealDef_Oreal, hAPP( hAPP(
% 0.93/1.56 c_Groups_Otimes__class_Otimes( tc_RealDef_Oreal ), X ), Z ), hAPP( hAPP(
% 0.93/1.56 c_Groups_Otimes__class_Otimes( tc_RealDef_Oreal ), X ), Y ) ) }.
% 0.93/1.56 { ! c_Orderings_Oord__class_Oless__eq( tc_Nat_Onat, hAPP( hAPP(
% 0.93/1.56 c_Groups_Otimes__class_Otimes( tc_Nat_Onat ), Z ), Y ), hAPP( hAPP(
% 0.93/1.56 c_Groups_Otimes__class_Otimes( tc_Nat_Onat ), X ), Y ) ), !
% 0.93/1.56 c_Orderings_Oord__class_Oless( tc_Nat_Onat, c_Groups_Ozero__class_Ozero(
% 0.93/1.56 tc_Nat_Onat ), Y ), c_Orderings_Oord__class_Oless__eq( tc_Nat_Onat, Z, X
% 0.93/1.56 ) }.
% 0.93/1.56 { c_Orderings_Oord__class_Oless( tc_Nat_Onat, c_Groups_Ozero__class_Ozero(
% 0.93/1.56 tc_Nat_Onat ), Y ), c_Orderings_Oord__class_Oless__eq( tc_Nat_Onat, hAPP
% 0.93/1.56 ( hAPP( c_Groups_Otimes__class_Otimes( tc_Nat_Onat ), Z ), Y ), hAPP(
% 0.93/1.56 hAPP( c_Groups_Otimes__class_Otimes( tc_Nat_Onat ), X ), Y ) ) }.
% 0.93/1.56 { ! c_Orderings_Oord__class_Oless__eq( tc_Nat_Onat, Z, X ),
% 0.93/1.56 c_Orderings_Oord__class_Oless__eq( tc_Nat_Onat, hAPP( hAPP(
% 0.93/1.56 c_Groups_Otimes__class_Otimes( tc_Nat_Onat ), Z ), Y ), hAPP( hAPP(
% 0.93/1.56 c_Groups_Otimes__class_Otimes( tc_Nat_Onat ), X ), Y ) ) }.
% 0.93/1.56 { ! c_Orderings_Oord__class_Oless__eq( tc_Nat_Onat, hAPP( hAPP(
% 0.93/1.56 c_Groups_Otimes__class_Otimes( tc_Nat_Onat ), Z ), Y ), hAPP( hAPP(
% 0.93/1.56 c_Groups_Otimes__class_Otimes( tc_Nat_Onat ), Z ), X ) ), !
% 0.93/1.56 c_Orderings_Oord__class_Oless( tc_Nat_Onat, c_Groups_Ozero__class_Ozero(
% 0.93/1.56 tc_Nat_Onat ), Z ), c_Orderings_Oord__class_Oless__eq( tc_Nat_Onat, Y, X
% 0.93/1.56 ) }.
% 0.93/1.56 { c_Orderings_Oord__class_Oless( tc_Nat_Onat, c_Groups_Ozero__class_Ozero(
% 0.93/1.56 tc_Nat_Onat ), Z ), c_Orderings_Oord__class_Oless__eq( tc_Nat_Onat, hAPP
% 0.93/1.56 ( hAPP( c_Groups_Otimes__class_Otimes( tc_Nat_Onat ), Z ), Y ), hAPP(
% 0.93/1.56 hAPP( c_Groups_Otimes__class_Otimes( tc_Nat_Onat ), Z ), X ) ) }.
% 0.93/1.56 { ! c_Orderings_Oord__class_Oless__eq( tc_Nat_Onat, Y, X ),
% 0.93/1.56 c_Orderings_Oord__class_Oless__eq( tc_Nat_Onat, hAPP( hAPP(
% 0.93/1.56 c_Groups_Otimes__class_Otimes( tc_Nat_Onat ), Z ), Y ), hAPP( hAPP(
% 0.93/1.56 c_Groups_Otimes__class_Otimes( tc_Nat_Onat ), Z ), X ) ) }.
% 0.93/1.56 { ! class_Groups_Oab__semigroup__mult( X ), ! c_Finite__Set_Ofold__graph( X
% 0.93/1.56 , X, c_Groups_Otimes__class_Otimes( X ), T, Z, Y ), c_member( X, T, Z ),
% 0.93/1.56 c_Finite__Set_Ofold__graph( X, X, c_Groups_Otimes__class_Otimes( X ), U,
% 0.93/1.56 c_Set_Oinsert( X, T, Z ), hAPP( hAPP( c_Groups_Otimes__class_Otimes( X )
% 0.93/1.56 , U ), Y ) ) }.
% 0.93/1.56 { ! c_Finite__Set_Ofold1Set( T, Z, c_Set_Oinsert( T, Y,
% 0.93/1.56 c_Orderings_Obot__class_Obot( tc_fun( T, tc_HOL_Obool ) ) ), X ), Y = X }
% 0.93/1.56 .
% 0.93/1.56 { ! Y = X, c_Finite__Set_Ofold1Set( T, Z, c_Set_Oinsert( T, Y,
% 0.93/1.56 c_Orderings_Obot__class_Obot( tc_fun( T, tc_HOL_Obool ) ) ), X ) }.
% 0.93/1.56 { ! c_Orderings_Oord__class_Oless( tc_Nat_Onat, Y, X ),
% 0.93/1.56 c_Orderings_Oord__class_Oless__eq( tc_RealDef_Oreal,
% 0.93/1.56 c_Groups_Oplus__class_Oplus( tc_RealDef_Oreal, c_RealDef_Oreal(
% 0.93/1.56 tc_Nat_Onat, Y ), c_Groups_Oone__class_Oone( tc_RealDef_Oreal ) ),
% 0.93/1.56 c_RealDef_Oreal( tc_Nat_Onat, X ) ) }.
% 0.93/1.56 { ! c_Orderings_Oord__class_Oless__eq( tc_RealDef_Oreal,
% 0.93/1.56 c_Groups_Oplus__class_Oplus( tc_RealDef_Oreal, c_RealDef_Oreal(
% 0.93/1.56 tc_Nat_Onat, Y ), c_Groups_Oone__class_Oone( tc_RealDef_Oreal ) ),
% 0.93/1.56 c_RealDef_Oreal( tc_Nat_Onat, X ) ), c_Orderings_Oord__class_Oless(
% 0.93/1.56 tc_Nat_Onat, Y, X ) }.
% 0.93/1.56 { ! c_Orderings_Oord__class_Oless__eq( tc_Nat_Onat, Y, X ),
% 0.93/1.56 c_Orderings_Oord__class_Oless( tc_RealDef_Oreal, c_RealDef_Oreal(
% 0.93/1.56 tc_Nat_Onat, Y ), c_Groups_Oplus__class_Oplus( tc_RealDef_Oreal,
% 0.93/1.56 c_RealDef_Oreal( tc_Nat_Onat, X ), c_Groups_Oone__class_Oone(
% 0.93/1.56 tc_RealDef_Oreal ) ) ) }.
% 0.93/1.56 { ! c_Orderings_Oord__class_Oless( tc_RealDef_Oreal, c_RealDef_Oreal(
% 0.93/1.56 tc_Nat_Onat, Y ), c_Groups_Oplus__class_Oplus( tc_RealDef_Oreal,
% 0.93/1.56 c_RealDef_Oreal( tc_Nat_Onat, X ), c_Groups_Oone__class_Oone(
% 0.93/1.56 tc_RealDef_Oreal ) ) ), c_Orderings_Oord__class_Oless__eq( tc_Nat_Onat, Y
% 0.93/1.56 , X ) }.
% 0.93/1.56 { c_Orderings_Oord__class_Oless( tc_RealDef_Oreal, X,
% 0.93/1.56 c_Groups_Oplus__class_Oplus( tc_RealDef_Oreal, c_RealDef_Oreal(
% 0.93/1.56 tc_Nat_Onat, c_RComplete_Onatfloor( X ) ), c_Groups_Oone__class_Oone(
% 0.93/1.56 tc_RealDef_Oreal ) ) ) }.
% 0.93/1.56 { ! c_Orderings_Oord__class_Oless__eq( tc_Nat_Onat,
% 0.93/1.56 c_Groups_Oone__class_Oone( tc_Nat_Onat ), c_RComplete_Onatfloor( X ) ),
% 0.93/1.56 c_Orderings_Oord__class_Oless__eq( tc_RealDef_Oreal,
% 0.93/1.56 c_Groups_Oone__class_Oone( tc_RealDef_Oreal ), X ) }.
% 0.93/1.56 { ! c_Orderings_Oord__class_Oless__eq( tc_RealDef_Oreal,
% 0.93/1.56 c_Groups_Oone__class_Oone( tc_RealDef_Oreal ), X ),
% 0.93/1.56 c_Orderings_Oord__class_Oless__eq( tc_Nat_Onat, c_Groups_Oone__class_Oone
% 0.93/1.56 ( tc_Nat_Onat ), c_RComplete_Onatfloor( X ) ) }.
% 0.93/1.56 { ! c_Orderings_Oord__class_Oless__eq( tc_Nat_Onat, c_RComplete_Onatceiling
% 0.93/1.56 ( X ), c_Groups_Oone__class_Oone( tc_Nat_Onat ) ),
% 0.93/1.56 c_Orderings_Oord__class_Oless__eq( tc_RealDef_Oreal, X,
% 0.93/1.56 c_Groups_Oone__class_Oone( tc_RealDef_Oreal ) ) }.
% 0.93/1.56 { ! c_Orderings_Oord__class_Oless__eq( tc_RealDef_Oreal, X,
% 0.93/1.56 c_Groups_Oone__class_Oone( tc_RealDef_Oreal ) ),
% 0.93/1.56 c_Orderings_Oord__class_Oless__eq( tc_Nat_Onat, c_RComplete_Onatceiling(
% 0.93/1.56 X ), c_Groups_Oone__class_Oone( tc_Nat_Onat ) ) }.
% 0.93/1.56 { ! class_Rings_Olinordered__ring__strict( X ), !
% 0.93/1.56 c_Orderings_Oord__class_Oless( X, c_Groups_Ozero__class_Ozero( X ),
% 0.93/1.56 c_Groups_Oplus__class_Oplus( X, hAPP( hAPP( c_Groups_Otimes__class_Otimes
% 0.93/1.56 ( X ), Z ), Z ), hAPP( hAPP( c_Groups_Otimes__class_Otimes( X ), Y ), Y )
% 0.93/1.56 ) ), ! Z = c_Groups_Ozero__class_Ozero( X ), ! Y =
% 0.93/1.56 c_Groups_Ozero__class_Ozero( X ) }.
% 0.93/1.56 { ! class_Rings_Olinordered__ring__strict( X ), Z =
% 0.93/1.56 c_Groups_Ozero__class_Ozero( X ), c_Orderings_Oord__class_Oless( X,
% 0.93/1.56 c_Groups_Ozero__class_Ozero( X ), c_Groups_Oplus__class_Oplus( X, hAPP(
% 0.93/1.56 hAPP( c_Groups_Otimes__class_Otimes( X ), Z ), Z ), hAPP( hAPP(
% 0.93/1.56 c_Groups_Otimes__class_Otimes( X ), Y ), Y ) ) ) }.
% 0.93/1.56 { ! class_Rings_Olinordered__ring__strict( X ), Y =
% 0.93/1.56 c_Groups_Ozero__class_Ozero( X ), c_Orderings_Oord__class_Oless( X,
% 0.93/1.56 c_Groups_Ozero__class_Ozero( X ), c_Groups_Oplus__class_Oplus( X, hAPP(
% 0.93/1.56 hAPP( c_Groups_Otimes__class_Otimes( X ), Z ), Z ), hAPP( hAPP(
% 0.93/1.56 c_Groups_Otimes__class_Otimes( X ), Y ), Y ) ) ) }.
% 0.93/1.56 { ! class_Rings_Olinordered__ring( X ), ! c_Orderings_Oord__class_Oless( X
% 0.93/1.56 , c_Groups_Oplus__class_Oplus( X, hAPP( hAPP(
% 0.93/1.56 c_Groups_Otimes__class_Otimes( X ), Z ), Z ), hAPP( hAPP(
% 0.93/1.56 c_Groups_Otimes__class_Otimes( X ), Y ), Y ) ),
% 0.93/1.56 c_Groups_Ozero__class_Ozero( X ) ) }.
% 0.93/1.56 { ! class_Rings_Olinordered__ring__strict( X ), !
% 0.93/1.56 c_Orderings_Oord__class_Oless__eq( X, c_Groups_Oplus__class_Oplus( X,
% 0.93/1.56 hAPP( hAPP( c_Groups_Otimes__class_Otimes( X ), Z ), Z ), hAPP( hAPP(
% 0.93/1.56 c_Groups_Otimes__class_Otimes( X ), Y ), Y ) ),
% 0.93/1.56 c_Groups_Ozero__class_Ozero( X ) ), Z = c_Groups_Ozero__class_Ozero( X )
% 0.93/1.56 }.
% 0.93/1.56 { ! class_Rings_Olinordered__ring__strict( X ), !
% 0.93/1.56 c_Orderings_Oord__class_Oless__eq( X, c_Groups_Oplus__class_Oplus( X,
% 0.93/1.56 hAPP( hAPP( c_Groups_Otimes__class_Otimes( X ), Z ), Z ), hAPP( hAPP(
% 0.93/1.56 c_Groups_Otimes__class_Otimes( X ), Y ), Y ) ),
% 0.93/1.56 c_Groups_Ozero__class_Ozero( X ) ), Y = c_Groups_Ozero__class_Ozero( X )
% 0.93/1.56 }.
% 0.93/1.56 { ! class_Rings_Olinordered__ring__strict( X ), ! Z =
% 0.93/1.56 c_Groups_Ozero__class_Ozero( X ), ! Y = c_Groups_Ozero__class_Ozero( X )
% 0.93/1.56 , c_Orderings_Oord__class_Oless__eq( X, c_Groups_Oplus__class_Oplus( X,
% 0.93/1.56 hAPP( hAPP( c_Groups_Otimes__class_Otimes( X ), Z ), Z ), hAPP( hAPP(
% 0.93/1.56 c_Groups_Otimes__class_Otimes( X ), Y ), Y ) ),
% 0.93/1.56 c_Groups_Ozero__class_Ozero( X ) ) }.
% 0.93/1.56 { ! c_Groups_Oplus__class_Oplus( tc_Nat_Onat, Y, X ) = Y, X =
% 0.93/1.56 c_Groups_Ozero__class_Ozero( tc_Nat_Onat ) }.
% 0.93/1.56 { ! c_Groups_Oplus__class_Oplus( tc_Nat_Onat, Y, X ) =
% 0.93/1.56 c_Groups_Ozero__class_Ozero( tc_Nat_Onat ), Y =
% 0.93/1.56 c_Groups_Ozero__class_Ozero( tc_Nat_Onat ) }.
% 0.93/1.56 { ! c_Groups_Oplus__class_Oplus( tc_Nat_Onat, Y, X ) =
% 0.93/1.56 c_Groups_Ozero__class_Ozero( tc_Nat_Onat ), X =
% 0.93/1.56 c_Groups_Ozero__class_Ozero( tc_Nat_Onat ) }.
% 0.93/1.56 { ! Y = c_Groups_Ozero__class_Ozero( tc_Nat_Onat ), ! X =
% 0.93/1.56 c_Groups_Ozero__class_Ozero( tc_Nat_Onat ), c_Groups_Oplus__class_Oplus(
% 0.93/1.56 tc_Nat_Onat, Y, X ) = c_Groups_Ozero__class_Ozero( tc_Nat_Onat ) }.
% 0.93/1.56 { c_Groups_Oplus__class_Oplus( tc_Nat_Onat, X, c_Groups_Ozero__class_Ozero
% 0.93/1.56 ( tc_Nat_Onat ) ) = X }.
% 0.93/1.56 { c_Groups_Oplus__class_Oplus( tc_Nat_Onat, c_Groups_Ozero__class_Ozero(
% 0.93/1.56 tc_Nat_Onat ), X ) = X }.
% 0.93/1.56 { ! Y = c_Groups_Ozero__class_Ozero( tc_Nat_Onat ), hAPP( hAPP(
% 0.93/1.56 c_Groups_Otimes__class_Otimes( tc_Nat_Onat ), Y ), X ) =
% 0.93/1.56 c_Groups_Ozero__class_Ozero( tc_Nat_Onat ) }.
% 0.93/1.56 { Y = c_Groups_Ozero__class_Ozero( tc_Nat_Onat ), hAPP( hAPP(
% 0.93/1.56 c_Groups_Otimes__class_Otimes( tc_Nat_Onat ), Y ), X ) =
% 0.93/1.56 c_Groups_Oplus__class_Oplus( tc_Nat_Onat, X, hAPP( hAPP(
% 0.93/1.56 c_Groups_Otimes__class_Otimes( tc_Nat_Onat ),
% 0.93/1.56 c_Groups_Ominus__class_Ominus( tc_Nat_Onat, Y, c_Groups_Oone__class_Oone
% 0.93/1.56 ( tc_Nat_Onat ) ) ), X ) ) }.
% 0.93/1.56 { ! hAPP( hAPP( c_Groups_Otimes__class_Otimes( tc_Nat_Onat ), Y ), X ) =
% 0.93/1.56 c_Groups_Oone__class_Oone( tc_Nat_Onat ), Y = c_Groups_Oone__class_Oone(
% 0.93/1.56 tc_Nat_Onat ) }.
% 0.93/1.56 { ! hAPP( hAPP( c_Groups_Otimes__class_Otimes( tc_Nat_Onat ), Y ), X ) =
% 0.93/1.56 c_Groups_Oone__class_Oone( tc_Nat_Onat ), X = c_Groups_Oone__class_Oone(
% 0.93/1.56 tc_Nat_Onat ) }.
% 0.93/1.56 { ! Y = c_Groups_Oone__class_Oone( tc_Nat_Onat ), ! X =
% 0.93/1.56 c_Groups_Oone__class_Oone( tc_Nat_Onat ), hAPP( hAPP(
% 0.93/1.56 c_Groups_Otimes__class_Otimes( tc_Nat_Onat ), Y ), X ) =
% 0.93/1.56 c_Groups_Oone__class_Oone( tc_Nat_Onat ) }.
% 0.93/1.56 { hAPP( hAPP( c_Groups_Otimes__class_Otimes( tc_Nat_Onat ), X ),
% 0.93/1.56 c_Groups_Oone__class_Oone( tc_Nat_Onat ) ) = X }.
% 0.93/1.56 { ! c_Groups_Oone__class_Oone( tc_Nat_Onat ) = hAPP( hAPP(
% 0.93/1.56 c_Groups_Otimes__class_Otimes( tc_Nat_Onat ), Y ), X ), Y =
% 0.93/1.56 c_Groups_Oone__class_Oone( tc_Nat_Onat ) }.
% 0.93/1.56 { ! c_Groups_Oone__class_Oone( tc_Nat_Onat ) = hAPP( hAPP(
% 0.93/1.56 c_Groups_Otimes__class_Otimes( tc_Nat_Onat ), Y ), X ), X =
% 0.93/1.56 c_Groups_Oone__class_Oone( tc_Nat_Onat ) }.
% 0.93/1.56 { ! Y = c_Groups_Oone__class_Oone( tc_Nat_Onat ), ! X =
% 0.93/1.56 c_Groups_Oone__class_Oone( tc_Nat_Onat ), c_Groups_Oone__class_Oone(
% 0.93/1.56 tc_Nat_Onat ) = hAPP( hAPP( c_Groups_Otimes__class_Otimes( tc_Nat_Onat )
% 0.93/1.56 , Y ), X ) }.
% 0.93/1.56 { hAPP( hAPP( c_Groups_Otimes__class_Otimes( tc_Nat_Onat ),
% 0.93/1.56 c_Groups_Oone__class_Oone( tc_Nat_Onat ) ), X ) = X }.
% 0.93/1.56 { ! c_Orderings_Oord__class_Oless( tc_Nat_Onat, c_Groups_Oplus__class_Oplus
% 0.93/1.56 ( tc_Nat_Onat, Y, X ), Y ) }.
% 0.93/1.56 { ! c_Orderings_Oord__class_Oless( tc_Nat_Onat, c_Groups_Oplus__class_Oplus
% 0.93/1.56 ( tc_Nat_Onat, Y, X ), X ) }.
% 0.93/1.56 { ! c_Orderings_Oord__class_Oless( tc_Nat_Onat, c_Groups_Oplus__class_Oplus
% 0.93/1.56 ( tc_Nat_Onat, Z, Y ), c_Groups_Oplus__class_Oplus( tc_Nat_Onat, Z, X ) )
% 0.93/1.56 , c_Orderings_Oord__class_Oless( tc_Nat_Onat, Y, X ) }.
% 0.93/1.56 { ! c_Orderings_Oord__class_Oless( tc_Nat_Onat, Y, X ),
% 0.93/1.56 c_Orderings_Oord__class_Oless( tc_Nat_Onat, c_Groups_Oplus__class_Oplus(
% 0.93/1.56 tc_Nat_Onat, Z, Y ), c_Groups_Oplus__class_Oplus( tc_Nat_Onat, Z, X ) ) }
% 0.93/1.56 .
% 0.93/1.56 { ! c_Orderings_Oord__class_Oless( tc_Nat_Onat, Y, X ),
% 0.93/1.56 c_Orderings_Oord__class_Oless( tc_Nat_Onat, Y,
% 0.93/1.56 c_Groups_Oplus__class_Oplus( tc_Nat_Onat, X, Z ) ) }.
% 0.93/1.56 { ! c_Orderings_Oord__class_Oless( tc_Nat_Onat, Y, X ),
% 0.93/1.56 c_Orderings_Oord__class_Oless( tc_Nat_Onat, Y,
% 0.93/1.56 c_Groups_Oplus__class_Oplus( tc_Nat_Onat, Z, X ) ) }.
% 0.93/1.56 { ! c_Orderings_Oord__class_Oless( tc_Nat_Onat, Y, X ),
% 0.93/1.56 c_Orderings_Oord__class_Oless( tc_Nat_Onat, Y,
% 0.93/1.56 c_Groups_Oplus__class_Oplus( tc_Nat_Onat, X, Z ) ) }.
% 0.93/1.56 { ! c_Orderings_Oord__class_Oless( tc_Nat_Onat, Y, X ),
% 0.93/1.56 c_Orderings_Oord__class_Oless( tc_Nat_Onat, Y,
% 0.93/1.56 c_Groups_Oplus__class_Oplus( tc_Nat_Onat, Z, X ) ) }.
% 0.93/1.56 { ! c_Orderings_Oord__class_Oless( tc_Nat_Onat, Y, X ),
% 0.93/1.56 c_Orderings_Oord__class_Oless( tc_Nat_Onat, c_Groups_Oplus__class_Oplus(
% 0.93/1.56 tc_Nat_Onat, Y, Z ), c_Groups_Oplus__class_Oplus( tc_Nat_Onat, X, Z ) ) }
% 0.93/1.56 .
% 0.93/1.56 { ! c_Orderings_Oord__class_Oless( tc_Nat_Onat, Y, X ), !
% 0.93/1.56 c_Orderings_Oord__class_Oless( tc_Nat_Onat, T, Z ),
% 0.93/1.56 c_Orderings_Oord__class_Oless( tc_Nat_Onat, c_Groups_Oplus__class_Oplus(
% 0.93/1.56 tc_Nat_Onat, Y, T ), c_Groups_Oplus__class_Oplus( tc_Nat_Onat, X, Z ) ) }
% 0.93/1.56 .
% 0.93/1.56 { ! c_Orderings_Oord__class_Oless( tc_Nat_Onat, Y, X ), !
% 0.93/1.56 c_Groups_Oplus__class_Oplus( tc_Nat_Onat, T, X ) =
% 0.93/1.56 c_Groups_Oplus__class_Oplus( tc_Nat_Onat, Y, Z ),
% 0.93/1.56 c_Orderings_Oord__class_Oless( tc_Nat_Onat, T, Z ) }.
% 0.93/1.56 { ! c_Orderings_Oord__class_Oless( tc_Nat_Onat, c_Groups_Oplus__class_Oplus
% 0.93/1.56 ( tc_Nat_Onat, Y, Z ), X ), c_Orderings_Oord__class_Oless( tc_Nat_Onat, Y
% 0.93/1.56 , X ) }.
% 0.93/1.56 { ! c_Orderings_Oord__class_Oless__eq( tc_Nat_Onat,
% 0.93/1.56 c_Groups_Oplus__class_Oplus( tc_Nat_Onat, Z, Y ), X ),
% 0.93/1.56 c_Orderings_Oord__class_Oless__eq( tc_Nat_Onat, Z, X ) }.
% 0.93/1.56 { ! c_Orderings_Oord__class_Oless__eq( tc_Nat_Onat,
% 0.93/1.56 c_Groups_Oplus__class_Oplus( tc_Nat_Onat, Z, Y ), X ),
% 0.93/1.56 c_Orderings_Oord__class_Oless__eq( tc_Nat_Onat, Y, X ) }.
% 0.93/1.56 { ! c_Orderings_Oord__class_Oless__eq( tc_Nat_Onat,
% 0.93/1.56 c_Groups_Oplus__class_Oplus( tc_Nat_Onat, Y, Z ), X ),
% 0.93/1.56 c_Orderings_Oord__class_Oless__eq( tc_Nat_Onat, Y, X ) }.
% 0.93/1.56 { ! c_Orderings_Oord__class_Oless__eq( tc_Nat_Onat,
% 0.93/1.56 c_Groups_Oplus__class_Oplus( tc_Nat_Onat, Z, Y ), X ),
% 0.93/1.56 c_Orderings_Oord__class_Oless__eq( tc_Nat_Onat, Y, X ) }.
% 0.93/1.56 { ! c_Orderings_Oord__class_Oless__eq( tc_Nat_Onat, Y, X ), !
% 0.93/1.56 c_Orderings_Oord__class_Oless__eq( tc_Nat_Onat, T, Z ),
% 0.93/1.56 c_Orderings_Oord__class_Oless__eq( tc_Nat_Onat,
% 0.93/1.56 c_Groups_Oplus__class_Oplus( tc_Nat_Onat, Y, T ),
% 0.93/1.56 c_Groups_Oplus__class_Oplus( tc_Nat_Onat, X, Z ) ) }.
% 0.93/1.56 { ! c_Orderings_Oord__class_Oless__eq( tc_Nat_Onat, Y, X ),
% 0.93/1.56 c_Orderings_Oord__class_Oless__eq( tc_Nat_Onat,
% 0.93/1.56 c_Groups_Oplus__class_Oplus( tc_Nat_Onat, Y, Z ),
% 0.93/1.56 c_Groups_Oplus__class_Oplus( tc_Nat_Onat, X, Z ) ) }.
% 0.93/1.56 { ! c_Orderings_Oord__class_Oless__eq( tc_Nat_Onat, Y, X ),
% 0.93/1.56 c_Orderings_Oord__class_Oless__eq( tc_Nat_Onat, Y,
% 0.93/1.56 c_Groups_Oplus__class_Oplus( tc_Nat_Onat, Z, X ) ) }.
% 0.93/1.56 { ! c_Orderings_Oord__class_Oless__eq( tc_Nat_Onat, Y, X ),
% 0.93/1.56 c_Orderings_Oord__class_Oless__eq( tc_Nat_Onat, Y,
% 0.93/1.56 c_Groups_Oplus__class_Oplus( tc_Nat_Onat, X, Z ) ) }.
% 0.93/1.56 { ! c_Orderings_Oord__class_Oless__eq( tc_Nat_Onat, Y, X ),
% 0.93/1.56 c_Orderings_Oord__class_Oless__eq( tc_Nat_Onat, Y,
% 0.93/1.56 c_Groups_Oplus__class_Oplus( tc_Nat_Onat, Z, X ) ) }.
% 0.93/1.56 { ! c_Orderings_Oord__class_Oless__eq( tc_Nat_Onat, Y, X ),
% 0.93/1.56 c_Orderings_Oord__class_Oless__eq( tc_Nat_Onat, Y,
% 0.93/1.56 c_Groups_Oplus__class_Oplus( tc_Nat_Onat, X, Z ) ) }.
% 0.93/1.56 { ! c_Orderings_Oord__class_Oless__eq( tc_Nat_Onat,
% 0.93/1.56 c_Groups_Oplus__class_Oplus( tc_Nat_Onat, Z, Y ),
% 0.93/1.56 c_Groups_Oplus__class_Oplus( tc_Nat_Onat, Z, X ) ),
% 0.93/1.56 c_Orderings_Oord__class_Oless__eq( tc_Nat_Onat, Y, X ) }.
% 0.93/1.56 { ! c_Orderings_Oord__class_Oless__eq( tc_Nat_Onat, Y, X ),
% 0.93/1.56 c_Orderings_Oord__class_Oless__eq( tc_Nat_Onat,
% 0.93/1.56 c_Groups_Oplus__class_Oplus( tc_Nat_Onat, Z, Y ),
% 0.93/1.56 c_Groups_Oplus__class_Oplus( tc_Nat_Onat, Z, X ) ) }.
% 0.93/1.56 { ! c_Orderings_Oord__class_Oless__eq( tc_Nat_Onat, Y, X ), X =
% 0.93/1.56 c_Groups_Oplus__class_Oplus( tc_Nat_Onat, Y, skol53( X, Y ) ) }.
% 0.93/1.56 { ! X = c_Groups_Oplus__class_Oplus( tc_Nat_Onat, Y, Z ),
% 0.93/1.56 c_Orderings_Oord__class_Oless__eq( tc_Nat_Onat, Y, X ) }.
% 0.93/1.56 { c_Orderings_Oord__class_Oless__eq( tc_Nat_Onat, Y,
% 0.93/1.56 c_Groups_Oplus__class_Oplus( tc_Nat_Onat, Y, X ) ) }.
% 0.93/1.56 { c_Orderings_Oord__class_Oless__eq( tc_Nat_Onat, Y,
% 0.93/1.56 c_Groups_Oplus__class_Oplus( tc_Nat_Onat, X, Y ) ) }.
% 0.93/1.56 { hAPP( hAPP( c_Groups_Otimes__class_Otimes( tc_Nat_Onat ), Y ), X ) = hAPP
% 0.93/1.56 ( hAPP( c_Groups_Otimes__class_Otimes( tc_Nat_Onat ), X ), Y ) }.
% 0.93/1.56 { hAPP( hAPP( c_Groups_Otimes__class_Otimes( tc_Nat_Onat ), Z ),
% 0.93/1.56 c_Groups_Oplus__class_Oplus( tc_Nat_Onat, Y, X ) ) =
% 0.93/1.56 c_Groups_Oplus__class_Oplus( tc_Nat_Onat, hAPP( hAPP(
% 0.93/1.56 c_Groups_Otimes__class_Otimes( tc_Nat_Onat ), Z ), Y ), hAPP( hAPP(
% 0.93/1.56 c_Groups_Otimes__class_Otimes( tc_Nat_Onat ), Z ), X ) ) }.
% 0.93/1.56 { hAPP( hAPP( c_Groups_Otimes__class_Otimes( tc_Nat_Onat ), hAPP( hAPP(
% 0.93/1.56 c_Groups_Otimes__class_Otimes( tc_Nat_Onat ), Z ), Y ) ), X ) = hAPP(
% 0.93/1.56 hAPP( c_Groups_Otimes__class_Otimes( tc_Nat_Onat ), Z ), hAPP( hAPP(
% 0.93/1.56 c_Groups_Otimes__class_Otimes( tc_Nat_Onat ), Y ), X ) ) }.
% 0.93/1.56 { hAPP( hAPP( c_Groups_Otimes__class_Otimes( tc_Nat_Onat ),
% 0.93/1.56 c_Groups_Oplus__class_Oplus( tc_Nat_Onat, Z, Y ) ), X ) =
% 0.93/1.56 c_Groups_Oplus__class_Oplus( tc_Nat_Onat, hAPP( hAPP(
% 0.93/1.56 c_Groups_Otimes__class_Otimes( tc_Nat_Onat ), Z ), X ), hAPP( hAPP(
% 0.93/1.56 c_Groups_Otimes__class_Otimes( tc_Nat_Onat ), Y ), X ) ) }.
% 0.93/1.56 { hAPP( hAPP( c_Groups_Otimes__class_Otimes( tc_RealDef_Oreal ), Y ), X ) =
% 0.93/1.56 hAPP( hAPP( c_Groups_Otimes__class_Otimes( tc_RealDef_Oreal ), X ), Y )
% 0.93/1.56 }.
% 0.93/1.56 { hAPP( hAPP( c_Groups_Otimes__class_Otimes( tc_RealDef_Oreal ), hAPP( hAPP
% 0.93/1.56 ( c_Groups_Otimes__class_Otimes( tc_RealDef_Oreal ), Z ), Y ) ), X ) =
% 0.93/1.56 hAPP( hAPP( c_Groups_Otimes__class_Otimes( tc_RealDef_Oreal ), Z ), hAPP
% 0.93/1.56 ( hAPP( c_Groups_Otimes__class_Otimes( tc_RealDef_Oreal ), Y ), X ) ) }.
% 0.93/1.56 { c_Groups_Ominus__class_Ominus( tc_Nat_Onat, c_Groups_Oplus__class_Oplus(
% 0.93/1.56 tc_Nat_Onat, Z, Y ), c_Groups_Oplus__class_Oplus( tc_Nat_Onat, X, Y ) ) =
% 0.93/1.56 c_Groups_Ominus__class_Ominus( tc_Nat_Onat, Z, X ) }.
% 0.93/1.56 { c_Groups_Ominus__class_Ominus( tc_Nat_Onat, c_Groups_Oplus__class_Oplus(
% 0.93/1.56 tc_Nat_Onat, Z, Y ), c_Groups_Oplus__class_Oplus( tc_Nat_Onat, Z, X ) ) =
% 0.93/1.56 c_Groups_Ominus__class_Ominus( tc_Nat_Onat, Y, X ) }.
% 0.93/1.56 { c_Groups_Ominus__class_Ominus( tc_Nat_Onat, c_Groups_Ominus__class_Ominus
% 0.93/1.56 ( tc_Nat_Onat, Z, Y ), X ) = c_Groups_Ominus__class_Ominus( tc_Nat_Onat,
% 0.93/1.56 Z, c_Groups_Oplus__class_Oplus( tc_Nat_Onat, Y, X ) ) }.
% 0.93/1.56 { c_Groups_Ominus__class_Ominus( tc_Nat_Onat, c_Groups_Oplus__class_Oplus(
% 0.93/1.56 tc_Nat_Onat, Y, X ), Y ) = X }.
% 0.93/1.56 { c_Groups_Ominus__class_Ominus( tc_Nat_Onat, c_Groups_Oplus__class_Oplus(
% 0.93/1.56 tc_Nat_Onat, Y, X ), X ) = Y }.
% 0.93/1.56 { ! c_Orderings_Oord__class_Oless( tc_Nat_Onat, c_Groups_Ozero__class_Ozero
% 0.93/1.56 ( tc_Nat_Onat ), c_Groups_Oplus__class_Oplus( tc_Nat_Onat, Y, X ) ),
% 0.93/1.56 c_Orderings_Oord__class_Oless( tc_Nat_Onat, c_Groups_Ozero__class_Ozero(
% 0.93/1.56 tc_Nat_Onat ), Y ), c_Orderings_Oord__class_Oless( tc_Nat_Onat,
% 0.93/1.56 c_Groups_Ozero__class_Ozero( tc_Nat_Onat ), X ) }.
% 0.93/1.56 { ! c_Orderings_Oord__class_Oless( tc_Nat_Onat, c_Groups_Ozero__class_Ozero
% 0.93/1.56 ( tc_Nat_Onat ), Y ), c_Orderings_Oord__class_Oless( tc_Nat_Onat,
% 0.93/1.56 c_Groups_Ozero__class_Ozero( tc_Nat_Onat ), c_Groups_Oplus__class_Oplus(
% 0.93/1.56 tc_Nat_Onat, Y, X ) ) }.
% 0.93/1.56 { ! c_Orderings_Oord__class_Oless( tc_Nat_Onat, c_Groups_Ozero__class_Ozero
% 0.93/1.56 ( tc_Nat_Onat ), X ), c_Orderings_Oord__class_Oless( tc_Nat_Onat,
% 0.93/1.56 c_Groups_Ozero__class_Ozero( tc_Nat_Onat ), c_Groups_Oplus__class_Oplus(
% 0.93/1.56 tc_Nat_Onat, Y, X ) ) }.
% 0.93/1.56 { c_Groups_Ominus__class_Ominus( tc_Nat_Onat, Y,
% 0.93/1.56 c_Groups_Oplus__class_Oplus( tc_Nat_Onat, Y, X ) ) =
% 0.93/1.56 c_Groups_Ozero__class_Ozero( tc_Nat_Onat ) }.
% 0.93/1.56 { c_Orderings_Oord__class_Oless( tc_Nat_Onat, Y, X ),
% 0.93/1.56 c_Groups_Oplus__class_Oplus( tc_Nat_Onat, X,
% 0.93/1.56 c_Groups_Ominus__class_Ominus( tc_Nat_Onat, Y, X ) ) = Y }.
% 0.93/1.56 { ! c_Orderings_Oord__class_Oless( tc_Nat_Onat, Z,
% 0.93/1.56 c_Groups_Ominus__class_Ominus( tc_Nat_Onat, Y, X ) ),
% 0.93/1.56 c_Orderings_Oord__class_Oless( tc_Nat_Onat, c_Groups_Oplus__class_Oplus(
% 0.93/1.56 tc_Nat_Onat, Z, X ), Y ) }.
% 0.93/1.56 { ! c_Orderings_Oord__class_Oless( tc_Nat_Onat, c_Groups_Oplus__class_Oplus
% 0.93/1.56 ( tc_Nat_Onat, Z, X ), Y ), c_Orderings_Oord__class_Oless( tc_Nat_Onat, Z
% 0.93/1.56 , c_Groups_Ominus__class_Ominus( tc_Nat_Onat, Y, X ) ) }.
% 0.93/1.56 { ! c_Orderings_Oord__class_Oless__eq( tc_Nat_Onat, Y, X ),
% 0.93/1.56 c_Groups_Ominus__class_Ominus( tc_Nat_Onat, Z,
% 0.93/1.56 c_Groups_Ominus__class_Ominus( tc_Nat_Onat, X, Y ) ) =
% 0.93/1.56 c_Groups_Ominus__class_Ominus( tc_Nat_Onat, c_Groups_Oplus__class_Oplus(
% 0.93/1.56 tc_Nat_Onat, Z, Y ), X ) }.
% 0.93/1.56 { ! c_Orderings_Oord__class_Oless__eq( tc_Nat_Onat,
% 0.93/1.56 c_Groups_Ominus__class_Ominus( tc_Nat_Onat, Z, Y ), X ),
% 0.93/1.56 c_Orderings_Oord__class_Oless__eq( tc_Nat_Onat, Z,
% 0.93/1.56 c_Groups_Oplus__class_Oplus( tc_Nat_Onat, X, Y ) ) }.
% 0.93/1.56 { ! c_Orderings_Oord__class_Oless__eq( tc_Nat_Onat, Z,
% 0.93/1.56 c_Groups_Oplus__class_Oplus( tc_Nat_Onat, X, Y ) ),
% 0.93/1.56 c_Orderings_Oord__class_Oless__eq( tc_Nat_Onat,
% 0.93/1.56 c_Groups_Ominus__class_Ominus( tc_Nat_Onat, Z, Y ), X ) }.
% 0.93/1.56 { ! c_Orderings_Oord__class_Oless__eq( tc_Nat_Onat, Y, X ),
% 0.93/1.56 c_Orderings_Oord__class_Oless__eq( tc_Nat_Onat, Z,
% 0.93/1.56 c_Groups_Ominus__class_Ominus( tc_Nat_Onat, c_Groups_Oplus__class_Oplus(
% 0.93/1.56 tc_Nat_Onat, X, Z ), Y ) ) }.
% 0.93/1.56 { ! c_Orderings_Oord__class_Oless__eq( tc_Nat_Onat, Y, X ),
% 0.93/1.56 c_Groups_Oplus__class_Oplus( tc_Nat_Onat, Y,
% 0.93/1.56 c_Groups_Ominus__class_Ominus( tc_Nat_Onat, X, Y ) ) = X }.
% 0.93/1.56 { ! c_Orderings_Oord__class_Oless__eq( tc_Nat_Onat, Y, X ),
% 0.93/1.56 c_Groups_Oplus__class_Oplus( tc_Nat_Onat, Z,
% 0.93/1.56 c_Groups_Ominus__class_Ominus( tc_Nat_Onat, X, Y ) ) =
% 0.93/1.56 c_Groups_Ominus__class_Ominus( tc_Nat_Onat, c_Groups_Oplus__class_Oplus(
% 0.93/1.56 tc_Nat_Onat, Z, X ), Y ) }.
% 0.93/1.56 { ! c_Orderings_Oord__class_Oless__eq( tc_Nat_Onat, Y, X ), !
% 0.93/1.56 c_Orderings_Oord__class_Oless__eq( tc_Nat_Onat, Z,
% 0.93/1.56 c_Groups_Ominus__class_Ominus( tc_Nat_Onat, X, Y ) ),
% 0.93/1.56 c_Orderings_Oord__class_Oless__eq( tc_Nat_Onat,
% 0.93/1.56 c_Groups_Oplus__class_Oplus( tc_Nat_Onat, Z, Y ), X ) }.
% 0.93/1.56 { ! c_Orderings_Oord__class_Oless__eq( tc_Nat_Onat, Y, X ), !
% 0.93/1.56 c_Orderings_Oord__class_Oless__eq( tc_Nat_Onat,
% 0.93/1.56 c_Groups_Oplus__class_Oplus( tc_Nat_Onat, Z, Y ), X ),
% 0.93/1.56 c_Orderings_Oord__class_Oless__eq( tc_Nat_Onat, Z,
% 0.93/1.56 c_Groups_Ominus__class_Ominus( tc_Nat_Onat, X, Y ) ) }.
% 0.93/1.56 { ! c_Orderings_Oord__class_Oless__eq( tc_Nat_Onat, Y, X ),
% 0.93/1.56 c_Groups_Oplus__class_Oplus( tc_Nat_Onat, c_Groups_Ominus__class_Ominus(
% 0.93/1.56 tc_Nat_Onat, X, Y ), Y ) = X }.
% 0.93/1.56 { ! c_Orderings_Oord__class_Oless__eq( tc_Nat_Onat, Y, X ), !
% 0.93/1.56 c_Groups_Ominus__class_Ominus( tc_Nat_Onat, X, Y ) = Z, X =
% 0.93/1.56 c_Groups_Oplus__class_Oplus( tc_Nat_Onat, Z, Y ) }.
% 0.93/1.56 { ! c_Orderings_Oord__class_Oless__eq( tc_Nat_Onat, Y, X ), ! X =
% 0.93/1.56 c_Groups_Oplus__class_Oplus( tc_Nat_Onat, Z, Y ),
% 0.93/1.56 c_Groups_Ominus__class_Ominus( tc_Nat_Onat, X, Y ) = Z }.
% 0.93/1.56 { ! c_Orderings_Oord__class_Oless__eq( tc_Nat_Onat, Y, X ),
% 0.93/1.56 c_Groups_Ominus__class_Ominus( tc_Nat_Onat, c_Groups_Oplus__class_Oplus(
% 0.93/1.56 tc_Nat_Onat, Z, X ), Y ) = c_Groups_Oplus__class_Oplus( tc_Nat_Onat, Z,
% 0.93/1.56 c_Groups_Ominus__class_Ominus( tc_Nat_Onat, X, Y ) ) }.
% 0.93/1.56 { ! c_Orderings_Oord__class_Oless__eq( tc_Nat_Onat, Y, X ),
% 0.93/1.56 c_Groups_Oplus__class_Oplus( tc_Nat_Onat, c_Groups_Ominus__class_Ominus(
% 0.93/1.56 tc_Nat_Onat, X, Y ), Z ) = c_Groups_Ominus__class_Ominus( tc_Nat_Onat,
% 0.93/1.56 c_Groups_Oplus__class_Oplus( tc_Nat_Onat, X, Z ), Y ) }.
% 0.93/1.56 { ! c_Orderings_Oord__class_Oless__eq( tc_Nat_Onat, Y, X ),
% 0.93/1.56 c_Groups_Ominus__class_Ominus( tc_Nat_Onat, c_Groups_Oplus__class_Oplus(
% 0.93/1.56 tc_Nat_Onat, X, Z ), Y ) = c_Groups_Oplus__class_Oplus( tc_Nat_Onat,
% 0.93/1.56 c_Groups_Ominus__class_Ominus( tc_Nat_Onat, X, Y ), Z ) }.
% 0.93/1.56 { c_RealDef_Oreal( tc_Nat_Onat, c_Groups_Oplus__class_Oplus( tc_Nat_Onat, Y
% 0.93/1.56 , X ) ) = c_Groups_Oplus__class_Oplus( tc_RealDef_Oreal, c_RealDef_Oreal
% 0.93/1.56 ( tc_Nat_Onat, Y ), c_RealDef_Oreal( tc_Nat_Onat, X ) ) }.
% 0.93/1.56 { ! hBOOL( hAPP( Z, c_Groups_Ominus__class_Ominus( tc_Nat_Onat, Y, X ) ) )
% 0.93/1.56 , alpha13( X, Y, Z ) }.
% 0.93/1.56 { ! hBOOL( hAPP( Z, c_Groups_Ominus__class_Ominus( tc_Nat_Onat, Y, X ) ) )
% 0.93/1.56 , alpha27( X, Y, Z ) }.
% 0.93/1.56 { ! alpha13( X, Y, Z ), ! alpha27( X, Y, Z ), hBOOL( hAPP( Z,
% 0.93/1.56 c_Groups_Ominus__class_Ominus( tc_Nat_Onat, Y, X ) ) ) }.
% 0.93/1.56 { ! alpha27( X, Y, Z ), ! Y = c_Groups_Oplus__class_Oplus( tc_Nat_Onat, X,
% 0.93/1.56 T ), hBOOL( hAPP( Z, T ) ) }.
% 0.93/1.56 { ! hBOOL( hAPP( Z, skol54( T, U, Z ) ) ), alpha27( X, Y, Z ) }.
% 0.93/1.56 { Y = c_Groups_Oplus__class_Oplus( tc_Nat_Onat, X, skol54( X, Y, Z ) ),
% 0.93/1.56 alpha27( X, Y, Z ) }.
% 0.93/1.56 { ! alpha13( X, Y, Z ), ! c_Orderings_Oord__class_Oless( tc_Nat_Onat, Y, X
% 0.93/1.56 ), hBOOL( hAPP( Z, c_Groups_Ozero__class_Ozero( tc_Nat_Onat ) ) ) }.
% 0.93/1.56 { c_Orderings_Oord__class_Oless( tc_Nat_Onat, Y, X ), alpha13( X, Y, Z ) }
% 0.93/1.56 .
% 0.93/1.56 { ! hBOOL( hAPP( Z, c_Groups_Ozero__class_Ozero( tc_Nat_Onat ) ) ), alpha13
% 0.93/1.56 ( X, Y, Z ) }.
% 0.93/1.56 { ! hBOOL( hAPP( Z, c_Groups_Ominus__class_Ominus( tc_Nat_Onat, Y, X ) ) )
% 0.93/1.56 , ! alpha14( X, Y, Z ) }.
% 0.93/1.56 { ! hBOOL( hAPP( Z, c_Groups_Ominus__class_Ominus( tc_Nat_Onat, Y, X ) ) )
% 0.93/1.56 , ! alpha28( X, Y, Z ) }.
% 0.93/1.56 { alpha14( X, Y, Z ), alpha28( X, Y, Z ), hBOOL( hAPP( Z,
% 0.93/1.56 c_Groups_Ominus__class_Ominus( tc_Nat_Onat, Y, X ) ) ) }.
% 0.93/1.56 { ! alpha28( X, Y, Z ), ! hBOOL( hAPP( Z, skol55( T, U, Z ) ) ) }.
% 0.93/1.56 { ! alpha28( X, Y, Z ), Y = c_Groups_Oplus__class_Oplus( tc_Nat_Onat, X,
% 0.93/1.56 skol55( X, Y, Z ) ) }.
% 0.93/1.56 { ! Y = c_Groups_Oplus__class_Oplus( tc_Nat_Onat, X, T ), hBOOL( hAPP( Z, T
% 0.93/1.56 ) ), alpha28( X, Y, Z ) }.
% 0.93/1.56 { ! alpha14( X, Y, Z ), c_Orderings_Oord__class_Oless( tc_Nat_Onat, Y, X )
% 0.93/1.56 }.
% 0.93/1.56 { ! alpha14( X, Y, Z ), ! hBOOL( hAPP( Z, c_Groups_Ozero__class_Ozero(
% 0.93/1.56 tc_Nat_Onat ) ) ) }.
% 0.93/1.56 { ! c_Orderings_Oord__class_Oless( tc_Nat_Onat, Y, X ), hBOOL( hAPP( Z,
% 0.93/1.56 c_Groups_Ozero__class_Ozero( tc_Nat_Onat ) ) ), alpha14( X, Y, Z ) }.
% 0.93/1.56 { ! c_Orderings_Oord__class_Oless__eq( tc_Nat_Onat,
% 0.93/1.56 c_Groups_Oplus__class_Oplus( tc_Nat_Onat, c_RComplete_Onatfloor( Y ),
% 0.93/1.56 c_Groups_Oone__class_Oone( tc_Nat_Onat ) ), X ),
% 0.93/1.56 c_Orderings_Oord__class_Oless( tc_RealDef_Oreal, Y, c_RealDef_Oreal(
% 0.93/1.56 tc_Nat_Onat, X ) ) }.
% 0.93/1.56 { ! c_Orderings_Oord__class_Oless__eq( tc_RealDef_Oreal,
% 0.93/1.56 c_Groups_Ozero__class_Ozero( tc_RealDef_Oreal ), X ),
% 0.93/1.56 c_RComplete_Onatfloor( c_Groups_Oplus__class_Oplus( tc_RealDef_Oreal, X,
% 0.93/1.56 c_Groups_Oone__class_Oone( tc_RealDef_Oreal ) ) ) =
% 0.93/1.56 c_Groups_Oplus__class_Oplus( tc_Nat_Onat, c_RComplete_Onatfloor( X ),
% 0.93/1.56 c_Groups_Oone__class_Oone( tc_Nat_Onat ) ) }.
% 0.93/1.56 { ! c_Orderings_Oord__class_Oless__eq( tc_RealDef_Oreal,
% 0.93/1.56 c_Groups_Ozero__class_Ozero( tc_RealDef_Oreal ), X ),
% 0.93/1.56 c_RComplete_Onatfloor( c_Groups_Oplus__class_Oplus( tc_RealDef_Oreal, X,
% 0.93/1.56 c_RealDef_Oreal( tc_Nat_Onat, Y ) ) ) = c_Groups_Oplus__class_Oplus(
% 0.93/1.56 tc_Nat_Onat, c_RComplete_Onatfloor( X ), Y ) }.
% 0.93/1.56 { ! c_Orderings_Oord__class_Oless__eq( tc_RealDef_Oreal,
% 0.93/1.56 c_Groups_Ozero__class_Ozero( tc_RealDef_Oreal ), X ),
% 0.93/1.56 c_RComplete_Onatceiling( c_Groups_Oplus__class_Oplus( tc_RealDef_Oreal, X
% 0.93/1.56 , c_Groups_Oone__class_Oone( tc_RealDef_Oreal ) ) ) =
% 0.93/1.56 c_Groups_Oplus__class_Oplus( tc_Nat_Onat, c_RComplete_Onatceiling( X ),
% 0.93/1.56 c_Groups_Oone__class_Oone( tc_Nat_Onat ) ) }.
% 0.93/1.56 { ! c_Orderings_Oord__class_Oless__eq( tc_RealDef_Oreal,
% 0.93/1.56 c_Groups_Ozero__class_Ozero( tc_RealDef_Oreal ), X ),
% 0.93/1.56 c_RComplete_Onatceiling( c_Groups_Oplus__class_Oplus( tc_RealDef_Oreal, X
% 0.93/1.56 , c_RealDef_Oreal( tc_Nat_Onat, Y ) ) ) = c_Groups_Oplus__class_Oplus(
% 0.93/1.56 tc_Nat_Onat, c_RComplete_Onatceiling( X ), Y ) }.
% 0.93/1.56 { ! c_Orderings_Oord__class_Oless( tc_RealDef_Oreal, c_RealDef_Oreal(
% 0.93/1.56 tc_Nat_Onat, Y ), X ), ! c_Orderings_Oord__class_Oless__eq(
% 0.93/1.56 tc_RealDef_Oreal, X, c_Groups_Oplus__class_Oplus( tc_RealDef_Oreal,
% 0.93/1.56 c_RealDef_Oreal( tc_Nat_Onat, Y ), c_Groups_Oone__class_Oone(
% 0.93/1.56 tc_RealDef_Oreal ) ) ), c_RComplete_Onatceiling( X ) =
% 0.93/1.56 c_Groups_Oplus__class_Oplus( tc_Nat_Onat, Y, c_Groups_Oone__class_Oone(
% 0.93/1.56 tc_Nat_Onat ) ) }.
% 0.93/1.56 { ! class_Rings_Olinordered__ring__strict( X ), !
% 0.93/1.56 c_Groups_Oplus__class_Oplus( X, hAPP( hAPP( c_Groups_Otimes__class_Otimes
% 0.93/1.56 ( X ), Z ), Z ), hAPP( hAPP( c_Groups_Otimes__class_Otimes( X ), Y ), Y )
% 0.93/1.56 ) = c_Groups_Ozero__class_Ozero( X ), Z = c_Groups_Ozero__class_Ozero( X
% 0.93/1.56 ) }.
% 0.93/1.56 { ! class_Rings_Olinordered__ring__strict( X ), !
% 0.93/1.56 c_Groups_Oplus__class_Oplus( X, hAPP( hAPP( c_Groups_Otimes__class_Otimes
% 0.93/1.56 ( X ), Z ), Z ), hAPP( hAPP( c_Groups_Otimes__class_Otimes( X ), Y ), Y )
% 0.93/1.56 ) = c_Groups_Ozero__class_Ozero( X ), Y = c_Groups_Ozero__class_Ozero( X
% 0.93/1.56 ) }.
% 0.93/1.56 { ! class_Rings_Olinordered__ring__strict( X ), ! Z =
% 0.93/1.56 c_Groups_Ozero__class_Ozero( X ), ! Y = c_Groups_Ozero__class_Ozero( X )
% 0.93/1.56 , c_Groups_Oplus__class_Oplus( X, hAPP( hAPP(
% 0.93/1.56 c_Groups_Otimes__class_Otimes( X ), Z ), Z ), hAPP( hAPP(
% 0.93/1.56 c_Groups_Otimes__class_Otimes( X ), Y ), Y ) ) =
% 0.93/1.56 c_Groups_Ozero__class_Ozero( X ) }.
% 0.93/1.56 { ! class_Rings_Olinordered__ring( X ), c_Orderings_Oord__class_Oless__eq(
% 0.93/1.56 X, c_Groups_Ozero__class_Ozero( X ), c_Groups_Oplus__class_Oplus( X, hAPP
% 0.93/1.56 ( hAPP( c_Groups_Otimes__class_Otimes( X ), Z ), Z ), hAPP( hAPP(
% 0.93/1.56 c_Groups_Otimes__class_Otimes( X ), Y ), Y ) ) ) }.
% 0.93/1.56 { ! c_Orderings_Oord__class_Oless__eq( tc_Nat_Onat, Y, X ), !
% 0.93/1.56 c_Orderings_Oord__class_Oless( tc_Nat_Onat, c_Groups_Oplus__class_Oplus(
% 0.93/1.56 tc_Nat_Onat, hAPP( hAPP( c_Groups_Otimes__class_Otimes( tc_Nat_Onat ), Y
% 0.93/1.56 ), U ), T ), c_Groups_Oplus__class_Oplus( tc_Nat_Onat, hAPP( hAPP(
% 0.93/1.56 c_Groups_Otimes__class_Otimes( tc_Nat_Onat ), X ), U ), Z ) ),
% 0.93/1.56 c_Orderings_Oord__class_Oless( tc_Nat_Onat, T,
% 0.93/1.56 c_Groups_Oplus__class_Oplus( tc_Nat_Onat, hAPP( hAPP(
% 0.93/1.56 c_Groups_Otimes__class_Otimes( tc_Nat_Onat ),
% 0.93/1.56 c_Groups_Ominus__class_Ominus( tc_Nat_Onat, X, Y ) ), U ), Z ) ) }.
% 0.93/1.56 { ! c_Orderings_Oord__class_Oless__eq( tc_Nat_Onat, Y, X ), !
% 0.93/1.56 c_Orderings_Oord__class_Oless( tc_Nat_Onat, T,
% 0.93/1.56 c_Groups_Oplus__class_Oplus( tc_Nat_Onat, hAPP( hAPP(
% 0.93/1.56 c_Groups_Otimes__class_Otimes( tc_Nat_Onat ),
% 0.93/1.56 c_Groups_Ominus__class_Ominus( tc_Nat_Onat, X, Y ) ), U ), Z ) ),
% 0.93/1.56 c_Orderings_Oord__class_Oless( tc_Nat_Onat, c_Groups_Oplus__class_Oplus(
% 0.93/1.56 tc_Nat_Onat, hAPP( hAPP( c_Groups_Otimes__class_Otimes( tc_Nat_Onat ), Y
% 0.93/1.56 ), U ), T ), c_Groups_Oplus__class_Oplus( tc_Nat_Onat, hAPP( hAPP(
% 0.93/1.56 c_Groups_Otimes__class_Otimes( tc_Nat_Onat ), X ), U ), Z ) ) }.
% 0.93/1.56 { ! c_Orderings_Oord__class_Oless__eq( tc_Nat_Onat, Y, X ), !
% 0.93/1.56 c_Orderings_Oord__class_Oless( tc_Nat_Onat, c_Groups_Oplus__class_Oplus(
% 0.93/1.56 tc_Nat_Onat, hAPP( hAPP( c_Groups_Otimes__class_Otimes( tc_Nat_Onat ), X
% 0.93/1.56 ), U ), T ), c_Groups_Oplus__class_Oplus( tc_Nat_Onat, hAPP( hAPP(
% 0.93/1.56 c_Groups_Otimes__class_Otimes( tc_Nat_Onat ), Y ), U ), Z ) ),
% 0.93/1.56 c_Orderings_Oord__class_Oless( tc_Nat_Onat, c_Groups_Oplus__class_Oplus(
% 0.93/1.56 tc_Nat_Onat, hAPP( hAPP( c_Groups_Otimes__class_Otimes( tc_Nat_Onat ),
% 0.93/1.56 c_Groups_Ominus__class_Ominus( tc_Nat_Onat, X, Y ) ), U ), T ), Z ) }.
% 0.93/1.56 { ! c_Orderings_Oord__class_Oless__eq( tc_Nat_Onat, Y, X ), !
% 0.93/1.56 c_Orderings_Oord__class_Oless( tc_Nat_Onat, c_Groups_Oplus__class_Oplus(
% 0.93/1.56 tc_Nat_Onat, hAPP( hAPP( c_Groups_Otimes__class_Otimes( tc_Nat_Onat ),
% 0.93/1.56 c_Groups_Ominus__class_Ominus( tc_Nat_Onat, X, Y ) ), U ), T ), Z ),
% 0.93/1.56 c_Orderings_Oord__class_Oless( tc_Nat_Onat, c_Groups_Oplus__class_Oplus(
% 0.93/1.56 tc_Nat_Onat, hAPP( hAPP( c_Groups_Otimes__class_Otimes( tc_Nat_Onat ), X
% 0.93/1.56 ), U ), T ), c_Groups_Oplus__class_Oplus( tc_Nat_Onat, hAPP( hAPP(
% 0.93/1.56 c_Groups_Otimes__class_Otimes( tc_Nat_Onat ), Y ), U ), Z ) ) }.
% 0.93/1.56 { c_Groups_Oplus__class_Oplus( tc_Nat_Onat, Y, X ) =
% 0.93/1.56 c_Groups_Oplus__class_Oplus( tc_Nat_Onat, X, Y ) }.
% 0.93/1.56 { c_Groups_Oplus__class_Oplus( tc_Nat_Onat, Z, c_Groups_Oplus__class_Oplus
% 0.93/1.56 ( tc_Nat_Onat, Y, X ) ) = c_Groups_Oplus__class_Oplus( tc_Nat_Onat, Y,
% 0.93/1.56 c_Groups_Oplus__class_Oplus( tc_Nat_Onat, Z, X ) ) }.
% 0.93/1.56 { c_Groups_Oplus__class_Oplus( tc_Nat_Onat, c_Groups_Oplus__class_Oplus(
% 0.93/1.56 tc_Nat_Onat, Z, Y ), X ) = c_Groups_Oplus__class_Oplus( tc_Nat_Onat, Z,
% 0.93/1.56 c_Groups_Oplus__class_Oplus( tc_Nat_Onat, Y, X ) ) }.
% 0.93/1.56 { ! c_Groups_Oplus__class_Oplus( tc_Nat_Onat, Z, Y ) =
% 0.93/1.56 c_Groups_Oplus__class_Oplus( tc_Nat_Onat, Z, X ), Y = X }.
% 0.93/1.56 { ! Y = X, c_Groups_Oplus__class_Oplus( tc_Nat_Onat, Z, Y ) =
% 0.93/1.56 c_Groups_Oplus__class_Oplus( tc_Nat_Onat, Z, X ) }.
% 0.93/1.56 { ! c_Groups_Oplus__class_Oplus( tc_Nat_Onat, Z, Y ) =
% 0.93/1.56 c_Groups_Oplus__class_Oplus( tc_Nat_Onat, X, Y ), Z = X }.
% 0.93/1.56 { ! Z = X, c_Groups_Oplus__class_Oplus( tc_Nat_Onat, Z, Y ) =
% 0.93/1.56 c_Groups_Oplus__class_Oplus( tc_Nat_Onat, X, Y ) }.
% 0.93/1.56 { c_Groups_Oplus__class_Oplus( tc_Nat_Onat, hAPP( hAPP(
% 0.93/1.56 c_Groups_Otimes__class_Otimes( tc_Nat_Onat ), T ), Z ),
% 0.93/1.56 c_Groups_Oplus__class_Oplus( tc_Nat_Onat, hAPP( hAPP(
% 0.93/1.56 c_Groups_Otimes__class_Otimes( tc_Nat_Onat ), Y ), Z ), X ) ) =
% 0.93/1.56 c_Groups_Oplus__class_Oplus( tc_Nat_Onat, hAPP( hAPP(
% 0.93/1.56 c_Groups_Otimes__class_Otimes( tc_Nat_Onat ), c_Groups_Oplus__class_Oplus
% 0.93/1.56 ( tc_Nat_Onat, T, Y ) ), Z ), X ) }.
% 0.93/1.56 { ! hAPP( hAPP( c_Groups_Otimes__class_Otimes( tc_Nat_Onat ), Z ), Y ) =
% 0.93/1.56 hAPP( hAPP( c_Groups_Otimes__class_Otimes( tc_Nat_Onat ), Z ), X ), Z =
% 0.93/1.56 c_Groups_Ozero__class_Ozero( tc_Nat_Onat ), Y = X }.
% 0.93/1.56 { ! Z = c_Groups_Ozero__class_Ozero( tc_Nat_Onat ), hAPP( hAPP(
% 0.93/1.56 c_Groups_Otimes__class_Otimes( tc_Nat_Onat ), Z ), Y ) = hAPP( hAPP(
% 0.93/1.56 c_Groups_Otimes__class_Otimes( tc_Nat_Onat ), Z ), X ) }.
% 0.93/1.56 { ! Y = X, hAPP( hAPP( c_Groups_Otimes__class_Otimes( tc_Nat_Onat ), Z ), Y
% 0.93/1.56 ) = hAPP( hAPP( c_Groups_Otimes__class_Otimes( tc_Nat_Onat ), Z ), X ) }
% 0.93/1.56 .
% 0.93/1.56 { ! c_Orderings_Oord__class_Oless( tc_Nat_Onat, c_Groups_Ozero__class_Ozero
% 0.93/1.56 ( tc_Nat_Onat ), X ), ! c_Orderings_Oord__class_Oless( tc_Nat_Onat, hAPP
% 0.93/1.56 ( hAPP( c_Groups_Otimes__class_Otimes( tc_Nat_Onat ), X ), Z ), hAPP(
% 0.93/1.56 hAPP( c_Groups_Otimes__class_Otimes( tc_Nat_Onat ), X ), Y ) ),
% 0.93/1.56 c_Orderings_Oord__class_Oless( tc_Nat_Onat, Z, Y ) }.
% 0.93/1.56 { ! c_Orderings_Oord__class_Oless( tc_Nat_Onat, c_Groups_Ozero__class_Ozero
% 0.93/1.56 ( tc_Nat_Onat ), X ), ! c_Orderings_Oord__class_Oless( tc_Nat_Onat, Z, Y
% 0.93/1.56 ), c_Orderings_Oord__class_Oless( tc_Nat_Onat, hAPP( hAPP(
% 0.93/1.56 c_Groups_Otimes__class_Otimes( tc_Nat_Onat ), X ), Z ), hAPP( hAPP(
% 0.93/1.56 c_Groups_Otimes__class_Otimes( tc_Nat_Onat ), X ), Y ) ) }.
% 0.93/1.56 { ! c_Orderings_Oord__class_Oless( tc_Nat_Onat, c_Groups_Ozero__class_Ozero
% 0.93/1.56 ( tc_Nat_Onat ), X ), ! hAPP( hAPP( c_Groups_Otimes__class_Otimes(
% 0.93/1.56 tc_Nat_Onat ), X ), Z ) = hAPP( hAPP( c_Groups_Otimes__class_Otimes(
% 0.93/1.56 tc_Nat_Onat ), X ), Y ), Z = Y }.
% 0.93/1.56 { ! c_Orderings_Oord__class_Oless( tc_Nat_Onat, c_Groups_Ozero__class_Ozero
% 0.93/1.56 ( tc_Nat_Onat ), X ), ! Z = Y, hAPP( hAPP( c_Groups_Otimes__class_Otimes
% 0.93/1.56 ( tc_Nat_Onat ), X ), Z ) = hAPP( hAPP( c_Groups_Otimes__class_Otimes(
% 0.93/1.56 tc_Nat_Onat ), X ), Y ) }.
% 0.93/1.56 { ! c_Orderings_Oord__class_Oless__eq( tc_Nat_Onat, Y, X ), !
% 0.93/1.56 c_Groups_Oplus__class_Oplus( tc_Nat_Onat, hAPP( hAPP(
% 0.93/1.56 c_Groups_Otimes__class_Otimes( tc_Nat_Onat ), Y ), U ), T ) =
% 0.93/1.56 c_Groups_Oplus__class_Oplus( tc_Nat_Onat, hAPP( hAPP(
% 0.93/1.56 c_Groups_Otimes__class_Otimes( tc_Nat_Onat ), X ), U ), Z ), T =
% 0.93/1.56 c_Groups_Oplus__class_Oplus( tc_Nat_Onat, hAPP( hAPP(
% 0.93/1.56 c_Groups_Otimes__class_Otimes( tc_Nat_Onat ),
% 0.93/1.56 c_Groups_Ominus__class_Ominus( tc_Nat_Onat, X, Y ) ), U ), Z ) }.
% 0.93/1.56 { ! c_Orderings_Oord__class_Oless__eq( tc_Nat_Onat, Y, X ), ! T =
% 0.93/1.56 c_Groups_Oplus__class_Oplus( tc_Nat_Onat, hAPP( hAPP(
% 0.93/1.56 c_Groups_Otimes__class_Otimes( tc_Nat_Onat ),
% 0.93/1.56 c_Groups_Ominus__class_Ominus( tc_Nat_Onat, X, Y ) ), U ), Z ),
% 0.93/1.56 c_Groups_Oplus__class_Oplus( tc_Nat_Onat, hAPP( hAPP(
% 0.93/1.56 c_Groups_Otimes__class_Otimes( tc_Nat_Onat ), Y ), U ), T ) =
% 0.93/1.56 c_Groups_Oplus__class_Oplus( tc_Nat_Onat, hAPP( hAPP(
% 0.93/1.56 c_Groups_Otimes__class_Otimes( tc_Nat_Onat ), X ), U ), Z ) }.
% 0.93/1.56 { ! c_Orderings_Oord__class_Oless__eq( tc_Nat_Onat, Y, X ),
% 0.93/1.56 c_Groups_Ominus__class_Ominus( tc_Nat_Onat, c_Groups_Oplus__class_Oplus(
% 0.93/1.56 tc_Nat_Onat, hAPP( hAPP( c_Groups_Otimes__class_Otimes( tc_Nat_Onat ), Y
% 0.93/1.56 ), U ), T ), c_Groups_Oplus__class_Oplus( tc_Nat_Onat, hAPP( hAPP(
% 0.93/1.56 c_Groups_Otimes__class_Otimes( tc_Nat_Onat ), X ), U ), Z ) ) =
% 0.93/1.56 c_Groups_Ominus__class_Ominus( tc_Nat_Onat, T,
% 0.93/1.56 c_Groups_Oplus__class_Oplus( tc_Nat_Onat, hAPP( hAPP(
% 0.93/1.56 c_Groups_Otimes__class_Otimes( tc_Nat_Onat ),
% 0.93/1.56 c_Groups_Ominus__class_Ominus( tc_Nat_Onat, X, Y ) ), U ), Z ) ) }.
% 0.93/1.56 { ! c_Orderings_Oord__class_Oless__eq( tc_Nat_Onat, Y, X ), !
% 0.93/1.56 c_Orderings_Oord__class_Oless__eq( tc_Nat_Onat,
% 0.93/1.56 c_Groups_Oplus__class_Oplus( tc_Nat_Onat, hAPP( hAPP(
% 0.93/1.56 c_Groups_Otimes__class_Otimes( tc_Nat_Onat ), Y ), U ), T ),
% 0.93/1.56 c_Groups_Oplus__class_Oplus( tc_Nat_Onat, hAPP( hAPP(
% 0.93/1.56 c_Groups_Otimes__class_Otimes( tc_Nat_Onat ), X ), U ), Z ) ),
% 0.93/1.56 c_Orderings_Oord__class_Oless__eq( tc_Nat_Onat, T,
% 0.93/1.56 c_Groups_Oplus__class_Oplus( tc_Nat_Onat, hAPP( hAPP(
% 0.93/1.56 c_Groups_Otimes__class_Otimes( tc_Nat_Onat ),
% 0.93/1.56 c_Groups_Ominus__class_Ominus( tc_Nat_Onat, X, Y ) ), U ), Z ) ) }.
% 0.93/1.56 { ! c_Orderings_Oord__class_Oless__eq( tc_Nat_Onat, Y, X ), !
% 0.93/1.56 c_Orderings_Oord__class_Oless__eq( tc_Nat_Onat, T,
% 0.93/1.56 c_Groups_Oplus__class_Oplus( tc_Nat_Onat, hAPP( hAPP(
% 0.93/1.56 c_Groups_Otimes__class_Otimes( tc_Nat_Onat ),
% 0.93/1.56 c_Groups_Ominus__class_Ominus( tc_Nat_Onat, X, Y ) ), U ), Z ) ),
% 0.93/1.56 c_Orderings_Oord__class_Oless__eq( tc_Nat_Onat,
% 0.93/1.56 c_Groups_Oplus__class_Oplus( tc_Nat_Onat, hAPP( hAPP(
% 0.93/1.56 c_Groups_Otimes__class_Otimes( tc_Nat_Onat ), Y ), U ), T ),
% 0.93/1.56 c_Groups_Oplus__class_Oplus( tc_Nat_Onat, hAPP( hAPP(
% 0.93/1.56 c_Groups_Otimes__class_Otimes( tc_Nat_Onat ), X ), U ), Z ) ) }.
% 0.93/1.56 { ! c_Orderings_Oord__class_Oless__eq( tc_Nat_Onat, Y, X ), !
% 0.93/1.56 c_Groups_Oplus__class_Oplus( tc_Nat_Onat, hAPP( hAPP(
% 0.93/1.56 c_Groups_Otimes__class_Otimes( tc_Nat_Onat ), X ), U ), T ) =
% 0.93/1.56 c_Groups_Oplus__class_Oplus( tc_Nat_Onat, hAPP( hAPP(
% 0.93/1.56 c_Groups_Otimes__class_Otimes( tc_Nat_Onat ), Y ), U ), Z ),
% 0.93/1.56 c_Groups_Oplus__class_Oplus( tc_Nat_Onat, hAPP( hAPP(
% 0.93/1.56 c_Groups_Otimes__class_Otimes( tc_Nat_Onat ),
% 0.93/1.56 c_Groups_Ominus__class_Ominus( tc_Nat_Onat, X, Y ) ), U ), T ) = Z }.
% 0.93/1.56 { ! c_Orderings_Oord__class_Oless__eq( tc_Nat_Onat, Y, X ), !
% 0.93/1.56 c_Groups_Oplus__class_Oplus( tc_Nat_Onat, hAPP( hAPP(
% 0.93/1.56 c_Groups_Otimes__class_Otimes( tc_Nat_Onat ),
% 0.93/1.56 c_Groups_Ominus__class_Ominus( tc_Nat_Onat, X, Y ) ), U ), T ) = Z,
% 0.93/1.56 c_Groups_Oplus__class_Oplus( tc_Nat_Onat, hAPP( hAPP(
% 0.93/1.56 c_Groups_Otimes__class_Otimes( tc_Nat_Onat ), X ), U ), T ) =
% 0.93/1.56 c_Groups_Oplus__class_Oplus( tc_Nat_Onat, hAPP( hAPP(
% 0.93/1.56 c_Groups_Otimes__class_Otimes( tc_Nat_Onat ), Y ), U ), Z ) }.
% 0.93/1.56 { ! c_Orderings_Oord__class_Oless__eq( tc_Nat_Onat, Y, X ),
% 0.93/1.56 c_Groups_Ominus__class_Ominus( tc_Nat_Onat, c_Groups_Oplus__class_Oplus(
% 0.93/1.56 tc_Nat_Onat, hAPP( hAPP( c_Groups_Otimes__class_Otimes( tc_Nat_Onat ), X
% 0.93/1.56 ), U ), T ), c_Groups_Oplus__class_Oplus( tc_Nat_Onat, hAPP( hAPP(
% 0.93/1.56 c_Groups_Otimes__class_Otimes( tc_Nat_Onat ), Y ), U ), Z ) ) =
% 0.93/1.56 c_Groups_Ominus__class_Ominus( tc_Nat_Onat, c_Groups_Oplus__class_Oplus(
% 0.93/1.56 tc_Nat_Onat, hAPP( hAPP( c_Groups_Otimes__class_Otimes( tc_Nat_Onat ),
% 0.93/1.56 c_Groups_Ominus__class_Ominus( tc_Nat_Onat, X, Y ) ), U ), T ), Z ) }.
% 0.93/1.56 { ! c_Orderings_Oord__class_Oless__eq( tc_Nat_Onat, Y, X ), !
% 0.93/1.56 c_Orderings_Oord__class_Oless__eq( tc_Nat_Onat,
% 0.93/1.56 c_Groups_Oplus__class_Oplus( tc_Nat_Onat, hAPP( hAPP(
% 0.93/1.56 c_Groups_Otimes__class_Otimes( tc_Nat_Onat ), X ), U ), T ),
% 0.93/1.56 c_Groups_Oplus__class_Oplus( tc_Nat_Onat, hAPP( hAPP(
% 0.93/1.56 c_Groups_Otimes__class_Otimes( tc_Nat_Onat ), Y ), U ), Z ) ),
% 0.93/1.56 c_Orderings_Oord__class_Oless__eq( tc_Nat_Onat,
% 0.93/1.56 c_Groups_Oplus__class_Oplus( tc_Nat_Onat, hAPP( hAPP(
% 0.93/1.56 c_Groups_Otimes__class_Otimes( tc_Nat_Onat ),
% 0.93/1.56 c_Groups_Ominus__class_Ominus( tc_Nat_Onat, X, Y ) ), U ), T ), Z ) }.
% 0.93/1.56 { ! c_Orderings_Oord__class_Oless__eq( tc_Nat_Onat, Y, X ), !
% 0.93/1.56 c_Orderings_Oord__class_Oless__eq( tc_Nat_Onat,
% 0.93/1.56 c_Groups_Oplus__class_Oplus( tc_Nat_Onat, hAPP( hAPP(
% 0.93/1.56 c_Groups_Otimes__class_Otimes( tc_Nat_Onat ),
% 0.93/1.56 c_Groups_Ominus__class_Ominus( tc_Nat_Onat, X, Y ) ), U ), T ), Z ),
% 0.93/1.56 c_Orderings_Oord__class_Oless__eq( tc_Nat_Onat,
% 0.93/1.56 c_Groups_Oplus__class_Oplus( tc_Nat_Onat, hAPP( hAPP(
% 0.93/1.56 c_Groups_Otimes__class_Otimes( tc_Nat_Onat ), X ), U ), T ),
% 0.93/1.56 c_Groups_Oplus__class_Oplus( tc_Nat_Onat, hAPP( hAPP(
% 0.93/1.56 c_Groups_Otimes__class_Otimes( tc_Nat_Onat ), Y ), U ), Z ) ) }.
% 0.93/1.56 { ! c_Orderings_Oord__class_Oless( tc_Nat_Onat, c_Groups_Ozero__class_Ozero
% 0.93/1.56 ( tc_Nat_Onat ), X ), ! c_Orderings_Oord__class_Oless__eq( tc_Nat_Onat,
% 0.93/1.56 hAPP( hAPP( c_Groups_Otimes__class_Otimes( tc_Nat_Onat ), X ), Z ), hAPP
% 0.93/1.56 ( hAPP( c_Groups_Otimes__class_Otimes( tc_Nat_Onat ), X ), Y ) ),
% 0.93/1.56 c_Orderings_Oord__class_Oless__eq( tc_Nat_Onat, Z, Y ) }.
% 0.93/1.56 { ! c_Orderings_Oord__class_Oless( tc_Nat_Onat, c_Groups_Ozero__class_Ozero
% 0.93/1.56 ( tc_Nat_Onat ), X ), ! c_Orderings_Oord__class_Oless__eq( tc_Nat_Onat, Z
% 0.93/1.56 , Y ), c_Orderings_Oord__class_Oless__eq( tc_Nat_Onat, hAPP( hAPP(
% 0.93/1.56 c_Groups_Otimes__class_Otimes( tc_Nat_Onat ), X ), Z ), hAPP( hAPP(
% 0.93/1.56 c_Groups_Otimes__class_Otimes( tc_Nat_Onat ), X ), Y ) ) }.
% 0.93/1.56 { c_Orderings_Oord__class_Oless( tc_RealDef_Oreal,
% 0.93/1.56 c_Groups_Ozero__class_Ozero( tc_RealDef_Oreal ), hAPP( hAPP(
% 0.93/1.56 c_Groups_Otimes__class_Otimes( tc_RealDef_Oreal ), X ), X ) ), X =
% 0.93/1.56 c_Groups_Ozero__class_Ozero( tc_RealDef_Oreal ) }.
% 0.93/1.56 { ! X = c_Groups_Ozero__class_Ozero( tc_RealDef_Oreal ), !
% 0.93/1.56 c_Orderings_Oord__class_Oless( tc_RealDef_Oreal,
% 0.93/1.56 c_Groups_Ozero__class_Ozero( tc_RealDef_Oreal ), hAPP( hAPP(
% 0.93/1.56 c_Groups_Otimes__class_Otimes( tc_RealDef_Oreal ), X ), X ) ) }.
% 0.93/1.56 { ! class_Rings_Ocomm__semiring__1( X ), c_Groups_Oplus__class_Oplus( X, Y
% 0.93/1.56 , Y ) = hAPP( hAPP( c_Groups_Otimes__class_Otimes( X ),
% 0.93/1.56 c_Groups_Oplus__class_Oplus( X, c_Groups_Oone__class_Oone( X ),
% 0.93/1.56 c_Groups_Oone__class_Oone( X ) ) ), Y ) }.
% 0.93/1.56 { ! class_Rings_Ocomm__semiring__1( X ), hAPP( hAPP(
% 0.93/1.56 c_Groups_Otimes__class_Otimes( X ), Z ), Y ) = hAPP( hAPP(
% 0.93/1.56 c_Groups_Otimes__class_Otimes( X ), Y ), Z ) }.
% 0.93/1.56 { ! class_Rings_Ocomm__semiring__1( X ), hAPP( hAPP(
% 0.93/1.56 c_Groups_Otimes__class_Otimes( X ), T ), hAPP( hAPP(
% 0.93/1.56 c_Groups_Otimes__class_Otimes( X ), Z ), Y ) ) = hAPP( hAPP(
% 0.93/1.56 c_Groups_Otimes__class_Otimes( X ), Z ), hAPP( hAPP(
% 0.93/1.56 c_Groups_Otimes__class_Otimes( X ), T ), Y ) ) }.
% 0.93/1.56 { ! class_Rings_Ocomm__semiring__1( X ), hAPP( hAPP(
% 0.93/1.56 c_Groups_Otimes__class_Otimes( X ), T ), hAPP( hAPP(
% 0.93/1.56 c_Groups_Otimes__class_Otimes( X ), Z ), Y ) ) = hAPP( hAPP(
% 0.93/1.56 c_Groups_Otimes__class_Otimes( X ), hAPP( hAPP(
% 0.93/1.56 c_Groups_Otimes__class_Otimes( X ), T ), Z ) ), Y ) }.
% 0.93/1.56 { ! class_Rings_Ocomm__semiring__1( X ), hAPP( hAPP(
% 0.93/1.56 c_Groups_Otimes__class_Otimes( X ), hAPP( hAPP(
% 0.93/1.56 c_Groups_Otimes__class_Otimes( X ), T ), Z ) ), Y ) = hAPP( hAPP(
% 0.93/1.56 c_Groups_Otimes__class_Otimes( X ), T ), hAPP( hAPP(
% 0.93/1.56 c_Groups_Otimes__class_Otimes( X ), Z ), Y ) ) }.
% 0.93/1.56 { ! class_Rings_Ocomm__semiring__1( X ), hAPP( hAPP(
% 0.93/1.56 c_Groups_Otimes__class_Otimes( X ), hAPP( hAPP(
% 0.93/1.56 c_Groups_Otimes__class_Otimes( X ), T ), Z ) ), Y ) = hAPP( hAPP(
% 0.93/1.56 c_Groups_Otimes__class_Otimes( X ), hAPP( hAPP(
% 0.93/1.56 c_Groups_Otimes__class_Otimes( X ), T ), Y ) ), Z ) }.
% 0.93/1.56 { ! class_Rings_Ocomm__semiring__1( X ), hAPP( hAPP(
% 0.93/1.56 c_Groups_Otimes__class_Otimes( X ), hAPP( hAPP(
% 0.93/1.56 c_Groups_Otimes__class_Otimes( X ), U ), T ) ), hAPP( hAPP(
% 0.93/1.56 c_Groups_Otimes__class_Otimes( X ), Z ), Y ) ) = hAPP( hAPP(
% 0.93/1.56 c_Groups_Otimes__class_Otimes( X ), U ), hAPP( hAPP(
% 0.93/1.56 c_Groups_Otimes__class_Otimes( X ), T ), hAPP( hAPP(
% 0.93/1.56 c_Groups_Otimes__class_Otimes( X ), Z ), Y ) ) ) }.
% 0.93/1.56 { ! class_Rings_Ocomm__semiring__1( X ), hAPP( hAPP(
% 0.93/1.56 c_Groups_Otimes__class_Otimes( X ), hAPP( hAPP(
% 0.93/1.56 c_Groups_Otimes__class_Otimes( X ), U ), T ) ), hAPP( hAPP(
% 0.93/1.56 c_Groups_Otimes__class_Otimes( X ), Z ), Y ) ) = hAPP( hAPP(
% 0.93/1.56 c_Groups_Otimes__class_Otimes( X ), Z ), hAPP( hAPP(
% 0.93/1.56 c_Groups_Otimes__class_Otimes( X ), hAPP( hAPP(
% 0.93/1.56 c_Groups_Otimes__class_Otimes( X ), U ), T ) ), Y ) ) }.
% 0.93/1.56 { ! class_Rings_Ocomm__semiring__1( X ), hAPP( hAPP(
% 0.93/1.56 c_Groups_Otimes__class_Otimes( X ), hAPP( hAPP(
% 0.93/1.56 c_Groups_Otimes__class_Otimes( X ), U ), T ) ), hAPP( hAPP(
% 0.93/1.56 c_Groups_Otimes__class_Otimes( X ), Z ), Y ) ) = hAPP( hAPP(
% 0.93/1.56 c_Groups_Otimes__class_Otimes( X ), hAPP( hAPP(
% 0.93/1.56 c_Groups_Otimes__class_Otimes( X ), U ), Z ) ), hAPP( hAPP(
% 0.93/1.56 c_Groups_Otimes__class_Otimes( X ), T ), Y ) ) }.
% 0.93/1.56 { ! class_Rings_Ocomm__semiring__1( X ), c_Groups_Oplus__class_Oplus( X, Z
% 0.93/1.56 , Y ) = c_Groups_Oplus__class_Oplus( X, Y, Z ) }.
% 0.93/1.56 { ! class_Rings_Ocomm__semiring__1( X ), c_Groups_Oplus__class_Oplus( X, T
% 0.93/1.56 , c_Groups_Oplus__class_Oplus( X, Z, Y ) ) = c_Groups_Oplus__class_Oplus
% 0.93/1.56 ( X, Z, c_Groups_Oplus__class_Oplus( X, T, Y ) ) }.
% 0.93/1.56 { ! class_Rings_Ocomm__semiring__1( X ), c_Groups_Oplus__class_Oplus( X, T
% 0.93/1.56 , c_Groups_Oplus__class_Oplus( X, Z, Y ) ) = c_Groups_Oplus__class_Oplus
% 0.93/1.56 ( X, c_Groups_Oplus__class_Oplus( X, T, Z ), Y ) }.
% 0.93/1.56 { ! class_Rings_Ocomm__semiring__1( X ), c_Groups_Oplus__class_Oplus( X,
% 0.93/1.56 c_Groups_Oplus__class_Oplus( X, T, Z ), Y ) = c_Groups_Oplus__class_Oplus
% 0.93/1.56 ( X, T, c_Groups_Oplus__class_Oplus( X, Z, Y ) ) }.
% 0.93/1.56 { ! class_Rings_Ocomm__semiring__1( X ), c_Groups_Oplus__class_Oplus( X,
% 0.93/1.56 c_Groups_Oplus__class_Oplus( X, T, Z ), Y ) = c_Groups_Oplus__class_Oplus
% 0.93/1.56 ( X, c_Groups_Oplus__class_Oplus( X, T, Y ), Z ) }.
% 0.93/1.56 { ! class_Rings_Ocomm__semiring__1( X ), c_Groups_Oplus__class_Oplus( X,
% 0.93/1.56 c_Groups_Oplus__class_Oplus( X, U, T ), c_Groups_Oplus__class_Oplus( X, Z
% 0.93/1.56 , Y ) ) = c_Groups_Oplus__class_Oplus( X, c_Groups_Oplus__class_Oplus( X
% 0.93/1.56 , U, Z ), c_Groups_Oplus__class_Oplus( X, T, Y ) ) }.
% 0.93/1.56 { ! class_Rings_Ocomm__semiring__1( X ), hAPP( hAPP(
% 0.93/1.56 c_Groups_Otimes__class_Otimes( X ), Y ), c_Groups_Ozero__class_Ozero( X )
% 0.93/1.56 ) = c_Groups_Ozero__class_Ozero( X ) }.
% 0.93/1.56 { ! class_Rings_Ocomm__semiring__1( X ), hAPP( hAPP(
% 0.93/1.56 c_Groups_Otimes__class_Otimes( X ), c_Groups_Ozero__class_Ozero( X ) ), Y
% 0.93/1.56 ) = c_Groups_Ozero__class_Ozero( X ) }.
% 0.93/1.56 { ! class_Semiring__Normalization_Ocomm__semiring__1__cancel__crossproduct
% 0.93/1.56 ( X ), ! Z = c_Groups_Oplus__class_Oplus( X, Z, Y ), Y =
% 0.93/1.56 c_Groups_Ozero__class_Ozero( X ) }.
% 0.93/1.56 { ! class_Semiring__Normalization_Ocomm__semiring__1__cancel__crossproduct
% 0.93/1.56 ( X ), ! Y = c_Groups_Ozero__class_Ozero( X ), Z =
% 0.93/1.56 c_Groups_Oplus__class_Oplus( X, Z, Y ) }.
% 0.93/1.56 { ! class_Rings_Ocomm__semiring__1( X ), c_Groups_Oplus__class_Oplus( X, Y
% 0.93/1.56 , c_Groups_Ozero__class_Ozero( X ) ) = Y }.
% 0.93/1.56 { ! class_Rings_Ocomm__semiring__1( X ), c_Groups_Oplus__class_Oplus( X,
% 0.93/1.56 c_Groups_Ozero__class_Ozero( X ), Y ) = Y }.
% 0.93/1.56 { ! class_Rings_Ocomm__semiring__1( X ), hAPP( hAPP(
% 0.93/1.56 c_Groups_Otimes__class_Otimes( X ), T ), c_Groups_Oplus__class_Oplus( X,
% 0.93/1.56 Z, Y ) ) = c_Groups_Oplus__class_Oplus( X, hAPP( hAPP(
% 0.93/1.56 c_Groups_Otimes__class_Otimes( X ), T ), Z ), hAPP( hAPP(
% 0.93/1.56 c_Groups_Otimes__class_Otimes( X ), T ), Y ) ) }.
% 0.93/1.56 { ! class_Semiring__Normalization_Ocomm__semiring__1__cancel__crossproduct
% 0.93/1.56 ( X ), U = T, Z = Y, ! c_Groups_Oplus__class_Oplus( X, hAPP( hAPP(
% 0.93/1.56 c_Groups_Otimes__class_Otimes( X ), U ), Z ), hAPP( hAPP(
% 0.93/1.56 c_Groups_Otimes__class_Otimes( X ), T ), Y ) ) =
% 0.93/1.56 c_Groups_Oplus__class_Oplus( X, hAPP( hAPP( c_Groups_Otimes__class_Otimes
% 0.93/1.56 ( X ), U ), Y ), hAPP( hAPP( c_Groups_Otimes__class_Otimes( X ), T ), Z )
% 0.93/1.56 ) }.
% 0.93/1.56 { ! class_Semiring__Normalization_Ocomm__semiring__1__cancel__crossproduct
% 0.93/1.56 ( X ), c_Groups_Oplus__class_Oplus( X, hAPP( hAPP(
% 0.93/1.56 c_Groups_Otimes__class_Otimes( X ), U ), Z ), hAPP( hAPP(
% 0.93/1.56 c_Groups_Otimes__class_Otimes( X ), T ), Y ) ) =
% 0.93/1.56 c_Groups_Oplus__class_Oplus( X, hAPP( hAPP( c_Groups_Otimes__class_Otimes
% 0.93/1.56 ( X ), U ), Y ), hAPP( hAPP( c_Groups_Otimes__class_Otimes( X ), T ), Z )
% 0.93/1.56 ), ! U = T }.
% 0.93/1.56 { ! class_Semiring__Normalization_Ocomm__semiring__1__cancel__crossproduct
% 0.93/1.56 ( X ), c_Groups_Oplus__class_Oplus( X, hAPP( hAPP(
% 0.93/1.56 c_Groups_Otimes__class_Otimes( X ), U ), Z ), hAPP( hAPP(
% 0.93/1.56 c_Groups_Otimes__class_Otimes( X ), T ), Y ) ) =
% 0.93/1.56 c_Groups_Oplus__class_Oplus( X, hAPP( hAPP( c_Groups_Otimes__class_Otimes
% 0.93/1.56 ( X ), U ), Y ), hAPP( hAPP( c_Groups_Otimes__class_Otimes( X ), T ), Z )
% 0.93/1.56 ), ! Z = Y }.
% 0.93/1.56 { ! class_Rings_Ocomm__semiring__1( X ), hAPP( hAPP(
% 0.93/1.56 c_Groups_Otimes__class_Otimes( X ), c_Groups_Oplus__class_Oplus( X, T, Z
% 0.93/1.56 ) ), Y ) = c_Groups_Oplus__class_Oplus( X, hAPP( hAPP(
% 0.93/1.56 c_Groups_Otimes__class_Otimes( X ), T ), Y ), hAPP( hAPP(
% 0.93/1.56 c_Groups_Otimes__class_Otimes( X ), Z ), Y ) ) }.
% 0.93/1.56 { ! class_Rings_Ocomm__semiring__1( X ), c_Groups_Oplus__class_Oplus( X,
% 0.93/1.56 hAPP( hAPP( c_Groups_Otimes__class_Otimes( X ), T ), Z ), hAPP( hAPP(
% 0.93/1.56 c_Groups_Otimes__class_Otimes( X ), Y ), Z ) ) = hAPP( hAPP(
% 0.93/1.56 c_Groups_Otimes__class_Otimes( X ), c_Groups_Oplus__class_Oplus( X, T, Y
% 0.93/1.56 ) ), Z ) }.
% 0.93/1.56 { ! class_Semiring__Normalization_Ocomm__semiring__1__cancel__crossproduct
% 0.93/1.56 ( X ), ! c_Groups_Oplus__class_Oplus( X, hAPP( hAPP(
% 0.93/1.56 c_Groups_Otimes__class_Otimes( X ), U ), T ), hAPP( hAPP(
% 0.93/1.56 c_Groups_Otimes__class_Otimes( X ), Z ), Y ) ) =
% 0.93/1.56 c_Groups_Oplus__class_Oplus( X, hAPP( hAPP( c_Groups_Otimes__class_Otimes
% 0.93/1.56 ( X ), U ), Y ), hAPP( hAPP( c_Groups_Otimes__class_Otimes( X ), Z ), T )
% 0.93/1.56 ), U = Z, T = Y }.
% 0.93/1.56 { ! class_Semiring__Normalization_Ocomm__semiring__1__cancel__crossproduct
% 0.93/1.56 ( X ), ! U = Z, c_Groups_Oplus__class_Oplus( X, hAPP( hAPP(
% 0.93/1.56 c_Groups_Otimes__class_Otimes( X ), U ), T ), hAPP( hAPP(
% 0.93/1.56 c_Groups_Otimes__class_Otimes( X ), Z ), Y ) ) =
% 0.93/1.56 c_Groups_Oplus__class_Oplus( X, hAPP( hAPP( c_Groups_Otimes__class_Otimes
% 0.93/1.56 ( X ), U ), Y ), hAPP( hAPP( c_Groups_Otimes__class_Otimes( X ), Z ), T )
% 0.93/1.56 ) }.
% 0.93/1.56 { ! class_Semiring__Normalization_Ocomm__semiring__1__cancel__crossproduct
% 0.93/1.56 ( X ), ! T = Y, c_Groups_Oplus__class_Oplus( X, hAPP( hAPP(
% 0.93/1.56 c_Groups_Otimes__class_Otimes( X ), U ), T ), hAPP( hAPP(
% 0.93/1.56 c_Groups_Otimes__class_Otimes( X ), Z ), Y ) ) =
% 0.93/1.56 c_Groups_Oplus__class_Oplus( X, hAPP( hAPP( c_Groups_Otimes__class_Otimes
% 0.93/1.56 ( X ), U ), Y ), hAPP( hAPP( c_Groups_Otimes__class_Otimes( X ), Z ), T )
% 0.93/1.56 ) }.
% 0.93/1.56 { ! class_Rings_Ocomm__semiring__1( X ), hAPP( hAPP(
% 0.93/1.56 c_Groups_Otimes__class_Otimes( X ), Y ), c_Groups_Oone__class_Oone( X ) )
% 0.93/1.56 = Y }.
% 0.93/1.56 { ! class_Rings_Ocomm__semiring__1( X ), hAPP( hAPP(
% 0.93/1.56 c_Groups_Otimes__class_Otimes( X ), c_Groups_Oone__class_Oone( X ) ), Y )
% 0.93/1.56 = Y }.
% 0.93/1.56 { ! class_Semiring__Normalization_Ocomm__semiring__1__cancel__crossproduct
% 0.93/1.56 ( X ), Y = c_Groups_Ozero__class_Ozero( X ), ! W = U, T = Z, !
% 0.93/1.56 c_Groups_Oplus__class_Oplus( X, W, hAPP( hAPP(
% 0.93/1.56 c_Groups_Otimes__class_Otimes( X ), Y ), T ) ) =
% 0.93/1.56 c_Groups_Oplus__class_Oplus( X, U, hAPP( hAPP(
% 0.93/1.56 c_Groups_Otimes__class_Otimes( X ), Y ), Z ) ) }.
% 0.93/1.56 { ! class_Rings_Ocomm__semiring__1( X ), c_Groups_Oplus__class_Oplus( X,
% 0.93/1.56 hAPP( hAPP( c_Groups_Otimes__class_Otimes( X ), Z ), Y ), Y ) = hAPP(
% 0.93/1.56 hAPP( c_Groups_Otimes__class_Otimes( X ), c_Groups_Oplus__class_Oplus( X
% 0.93/1.56 , Z, c_Groups_Oone__class_Oone( X ) ) ), Y ) }.
% 0.93/1.56 { ! class_Rings_Ocomm__semiring__1( X ), c_Groups_Oplus__class_Oplus( X, Z
% 0.93/1.56 , hAPP( hAPP( c_Groups_Otimes__class_Otimes( X ), Y ), Z ) ) = hAPP( hAPP
% 0.93/1.56 ( c_Groups_Otimes__class_Otimes( X ), c_Groups_Oplus__class_Oplus( X, Y,
% 0.93/1.56 c_Groups_Oone__class_Oone( X ) ) ), Z ) }.
% 0.93/1.56 { ! class_RealVector_Oreal__normed__algebra( X ),
% 0.93/1.56 c_Groups_Ominus__class_Ominus( X, hAPP( hAPP(
% 0.93/1.56 c_Groups_Otimes__class_Otimes( X ), U ), T ), hAPP( hAPP(
% 0.93/1.56 c_Groups_Otimes__class_Otimes( X ), Z ), Y ) ) =
% 0.93/1.56 c_Groups_Oplus__class_Oplus( X, c_Groups_Oplus__class_Oplus( X, hAPP(
% 0.93/1.56 hAPP( c_Groups_Otimes__class_Otimes( X ), c_Groups_Ominus__class_Ominus(
% 0.93/1.56 X, U, Z ) ), c_Groups_Ominus__class_Ominus( X, T, Y ) ), hAPP( hAPP(
% 0.93/1.56 c_Groups_Otimes__class_Otimes( X ), c_Groups_Ominus__class_Ominus( X, U,
% 0.93/1.56 Z ) ), Y ) ), hAPP( hAPP( c_Groups_Otimes__class_Otimes( X ), Z ),
% 0.93/1.56 c_Groups_Ominus__class_Ominus( X, T, Y ) ) ) }.
% 0.93/1.56 { ! class_Rings_Olinordered__idom( X ), ! c_Orderings_Oord__class_Oless( X
% 0.93/1.56 , c_Groups_Oplus__class_Oplus( X, Y, Y ), c_Groups_Ozero__class_Ozero( X
% 0.93/1.56 ) ), c_Orderings_Oord__class_Oless( X, Y, c_Groups_Ozero__class_Ozero( X
% 0.93/1.56 ) ) }.
% 0.93/1.56 { ! class_Rings_Olinordered__idom( X ), ! c_Orderings_Oord__class_Oless( X
% 0.93/1.56 , Y, c_Groups_Ozero__class_Ozero( X ) ), c_Orderings_Oord__class_Oless( X
% 0.93/1.56 , c_Groups_Oplus__class_Oplus( X, Y, Y ), c_Groups_Ozero__class_Ozero( X
% 0.93/1.56 ) ) }.
% 0.93/1.56 { ! class_RealVector_Oreal__normed__algebra( X ), hAPP( hAPP(
% 0.93/1.56 c_Groups_Otimes__class_Otimes( X ), c_Groups_Ozero__class_Ozero( X ) ), Y
% 0.93/1.56 ) = c_Groups_Ozero__class_Ozero( X ) }.
% 0.93/1.56 { ! class_RealVector_Oreal__normed__algebra( X ), hAPP( hAPP(
% 0.93/1.56 c_Groups_Otimes__class_Otimes( X ), c_Groups_Ozero__class_Ozero( X ) ), Y
% 0.93/1.56 ) = c_Groups_Ozero__class_Ozero( X ) }.
% 0.93/1.56 { ! class_RealVector_Oreal__normed__algebra( X ), hAPP( hAPP(
% 0.93/1.56 c_Groups_Otimes__class_Otimes( X ), Y ), c_Groups_Ozero__class_Ozero( X )
% 0.93/1.56 ) = c_Groups_Ozero__class_Ozero( X ) }.
% 0.93/1.56 { ! class_RealVector_Oreal__normed__algebra( X ), hAPP( hAPP(
% 0.93/1.56 c_Groups_Otimes__class_Otimes( X ), Y ), c_Groups_Ozero__class_Ozero( X )
% 0.93/1.56 ) = c_Groups_Ozero__class_Ozero( X ) }.
% 0.93/1.56 { ! class_Groups_Olinordered__ab__group__add( X ), !
% 0.93/1.56 c_Groups_Oplus__class_Oplus( X, Y, Y ) = c_Groups_Ozero__class_Ozero( X )
% 0.93/1.56 , Y = c_Groups_Ozero__class_Ozero( X ) }.
% 0.93/1.56 { ! class_Groups_Olinordered__ab__group__add( X ), ! Y =
% 0.93/1.56 c_Groups_Ozero__class_Ozero( X ), c_Groups_Oplus__class_Oplus( X, Y, Y )
% 0.93/1.56 = c_Groups_Ozero__class_Ozero( X ) }.
% 0.93/1.56 { ! class_RealVector_Oreal__normed__algebra( X ), hAPP( hAPP(
% 0.93/1.56 c_Groups_Otimes__class_Otimes( X ), c_Groups_Oplus__class_Oplus( X, T, Z
% 0.93/1.56 ) ), Y ) = c_Groups_Oplus__class_Oplus( X, hAPP( hAPP(
% 0.93/1.56 c_Groups_Otimes__class_Otimes( X ), T ), Y ), hAPP( hAPP(
% 0.93/1.56 c_Groups_Otimes__class_Otimes( X ), Z ), Y ) ) }.
% 0.93/1.56 { ! class_RealVector_Oreal__normed__algebra( X ), hAPP( hAPP(
% 0.93/1.56 c_Groups_Otimes__class_Otimes( X ), c_Groups_Oplus__class_Oplus( X, T, Z
% 0.93/1.56 ) ), Y ) = c_Groups_Oplus__class_Oplus( X, hAPP( hAPP(
% 0.93/1.56 c_Groups_Otimes__class_Otimes( X ), T ), Y ), hAPP( hAPP(
% 0.93/1.56 c_Groups_Otimes__class_Otimes( X ), Z ), Y ) ) }.
% 0.93/1.56 { ! class_RealVector_Oreal__normed__algebra( X ), hAPP( hAPP(
% 0.93/1.56 c_Groups_Otimes__class_Otimes( X ), T ), c_Groups_Oplus__class_Oplus( X,
% 0.93/1.56 Z, Y ) ) = c_Groups_Oplus__class_Oplus( X, hAPP( hAPP(
% 0.93/1.56 c_Groups_Otimes__class_Otimes( X ), T ), Z ), hAPP( hAPP(
% 0.93/1.56 c_Groups_Otimes__class_Otimes( X ), T ), Y ) ) }.
% 0.93/1.56 { ! class_RealVector_Oreal__normed__algebra( X ), hAPP( hAPP(
% 0.93/1.56 c_Groups_Otimes__class_Otimes( X ), T ), c_Groups_Oplus__class_Oplus( X,
% 0.93/1.56 Z, Y ) ) = c_Groups_Oplus__class_Oplus( X, hAPP( hAPP(
% 0.93/1.56 c_Groups_Otimes__class_Otimes( X ), T ), Z ), hAPP( hAPP(
% 0.93/1.56 c_Groups_Otimes__class_Otimes( X ), T ), Y ) ) }.
% 0.93/1.56 { ! class_RealVector_Oreal__normed__algebra( X ), hAPP( hAPP(
% 0.93/1.56 c_Groups_Otimes__class_Otimes( X ), T ), c_Groups_Ominus__class_Ominus( X
% 0.93/1.56 , Z, Y ) ) = c_Groups_Ominus__class_Ominus( X, hAPP( hAPP(
% 0.93/1.56 c_Groups_Otimes__class_Otimes( X ), T ), Z ), hAPP( hAPP(
% 0.93/1.56 c_Groups_Otimes__class_Otimes( X ), T ), Y ) ) }.
% 0.93/1.56 { ! class_RealVector_Oreal__normed__algebra( X ), hAPP( hAPP(
% 0.93/1.56 c_Groups_Otimes__class_Otimes( X ), T ), c_Groups_Ominus__class_Ominus( X
% 0.93/1.56 , Z, Y ) ) = c_Groups_Ominus__class_Ominus( X, hAPP( hAPP(
% 0.93/1.56 c_Groups_Otimes__class_Otimes( X ), T ), Z ), hAPP( hAPP(
% 0.93/1.56 c_Groups_Otimes__class_Otimes( X ), T ), Y ) ) }.
% 0.93/1.56 { ! class_RealVector_Oreal__normed__algebra( X ), hAPP( hAPP(
% 0.93/1.56 c_Groups_Otimes__class_Otimes( X ), c_Groups_Ominus__class_Ominus( X, T,
% 0.93/1.56 Z ) ), Y ) = c_Groups_Ominus__class_Ominus( X, hAPP( hAPP(
% 0.93/1.56 c_Groups_Otimes__class_Otimes( X ), T ), Y ), hAPP( hAPP(
% 0.93/1.56 c_Groups_Otimes__class_Otimes( X ), Z ), Y ) ) }.
% 0.93/1.56 { ! class_RealVector_Oreal__normed__algebra( X ), hAPP( hAPP(
% 0.93/1.56 c_Groups_Otimes__class_Otimes( X ), c_Groups_Ominus__class_Ominus( X, T,
% 0.93/1.56 Z ) ), Y ) = c_Groups_Ominus__class_Ominus( X, hAPP( hAPP(
% 0.93/1.56 c_Groups_Otimes__class_Otimes( X ), T ), Y ), hAPP( hAPP(
% 0.93/1.56 c_Groups_Otimes__class_Otimes( X ), Z ), Y ) ) }.
% 0.93/1.56 { ! c_Orderings_Oord__class_Oless__eq( tc_RealDef_Oreal,
% 0.93/1.56 c_Groups_Ozero__class_Ozero( tc_RealDef_Oreal ), X ),
% 0.93/1.56 c_Orderings_Oord__class_Oless__eq( tc_RealDef_Oreal, c_RealDef_Oreal(
% 0.93/1.56 tc_Nat_Onat, c_Groups_Ominus__class_Ominus( tc_Nat_Onat, skol56( X ),
% 0.93/1.56 c_Groups_Oone__class_Oone( tc_Nat_Onat ) ) ), X ) }.
% 0.93/1.56 { ! c_Orderings_Oord__class_Oless__eq( tc_RealDef_Oreal,
% 0.93/1.56 c_Groups_Ozero__class_Ozero( tc_RealDef_Oreal ), X ),
% 0.93/1.56 c_Orderings_Oord__class_Oless( tc_RealDef_Oreal, X, c_RealDef_Oreal(
% 0.93/1.56 tc_Nat_Onat, skol56( X ) ) ) }.
% 0.93/1.56 { ! c_Orderings_Oord__class_Oless__eq( tc_Nat_Onat, Y, X ), X =
% 0.93/1.56 c_Groups_Oplus__class_Oplus( tc_Nat_Onat, Y, skol57( X, Y ) ) }.
% 0.93/1.56 { ! X = c_Groups_Oplus__class_Oplus( tc_Nat_Onat, Y, Z ),
% 0.93/1.56 c_Orderings_Oord__class_Oless__eq( tc_Nat_Onat, Y, X ) }.
% 0.93/1.56 { ! class_Rings_Olinordered__idom( X ), ! c_member( X, Y,
% 0.93/1.56 c_Int_Oring__1__class_OInts( X ) ), ! c_Orderings_Oord__class_Oless( X,
% 0.93/1.56 c_Groups_Oplus__class_Oplus( X, c_Groups_Oplus__class_Oplus( X,
% 0.93/1.56 c_Groups_Oone__class_Oone( X ), Y ), Y ), c_Groups_Ozero__class_Ozero( X
% 0.93/1.56 ) ), c_Orderings_Oord__class_Oless( X, Y, c_Groups_Ozero__class_Ozero( X
% 0.93/1.56 ) ) }.
% 0.93/1.56 { ! class_Rings_Olinordered__idom( X ), ! c_member( X, Y,
% 0.93/1.56 c_Int_Oring__1__class_OInts( X ) ), ! c_Orderings_Oord__class_Oless( X, Y
% 0.93/1.56 , c_Groups_Ozero__class_Ozero( X ) ), c_Orderings_Oord__class_Oless( X,
% 0.93/1.56 c_Groups_Oplus__class_Oplus( X, c_Groups_Oplus__class_Oplus( X,
% 0.93/1.56 c_Groups_Oone__class_Oone( X ), Y ), Y ), c_Groups_Ozero__class_Ozero( X
% 0.93/1.56 ) ) }.
% 0.93/1.56 { hBOOL( hAPP( X, c_Groups_Ozero__class_Ozero( tc_Nat_Onat ) ) ), ! hBOOL(
% 0.93/1.56 hAPP( X, Y ) ), c_Orderings_Oord__class_Oless( tc_Nat_Onat, skol58( Z, Y
% 0.93/1.56 ), Y ) }.
% 0.93/1.56 { hBOOL( hAPP( X, c_Groups_Ozero__class_Ozero( tc_Nat_Onat ) ) ), ! hBOOL(
% 0.93/1.56 hAPP( X, Y ) ), ! c_Orderings_Oord__class_Oless__eq( tc_Nat_Onat, Z,
% 0.93/1.56 skol58( X, Y ) ), ! hBOOL( hAPP( X, Z ) ) }.
% 0.93/1.56 { hBOOL( hAPP( X, c_Groups_Ozero__class_Ozero( tc_Nat_Onat ) ) ), ! hBOOL(
% 0.93/1.56 hAPP( X, Y ) ), hBOOL( hAPP( X, c_Groups_Oplus__class_Oplus( tc_Nat_Onat
% 0.93/1.56 , skol58( X, Y ), c_Groups_Oone__class_Oone( tc_Nat_Onat ) ) ) ) }.
% 0.93/1.56 { ! class_Rings_Oring__1( X ), c_member( X, c_Groups_Ozero__class_Ozero( X
% 0.93/1.56 ), c_Int_Oring__1__class_OInts( X ) ) }.
% 0.93/1.56 { ! class_Rings_Oring__1( X ), ! c_member( X, Y,
% 0.93/1.56 c_Int_Oring__1__class_OInts( X ) ), ! c_member( X, Z,
% 0.93/1.56 c_Int_Oring__1__class_OInts( X ) ), c_member( X, hAPP( hAPP(
% 0.93/1.56 c_Groups_Otimes__class_Otimes( X ), Y ), Z ), c_Int_Oring__1__class_OInts
% 0.93/1.56 ( X ) ) }.
% 0.93/1.56 { ! class_Rings_Oring__1( X ), ! c_member( X, Y,
% 0.93/1.56 c_Int_Oring__1__class_OInts( X ) ), ! c_member( X, Z,
% 0.93/1.56 c_Int_Oring__1__class_OInts( X ) ), c_member( X,
% 0.93/1.56 c_Groups_Oplus__class_Oplus( X, Y, Z ), c_Int_Oring__1__class_OInts( X )
% 0.93/1.56 ) }.
% 0.93/1.56 { ! class_Rings_Oring__1( X ), ! c_member( X, Y,
% 0.93/1.56 c_Int_Oring__1__class_OInts( X ) ), ! c_member( X, Z,
% 0.93/1.56 c_Int_Oring__1__class_OInts( X ) ), c_member( X,
% 0.93/1.56 c_Groups_Ominus__class_Ominus( X, Y, Z ), c_Int_Oring__1__class_OInts( X
% 0.93/1.56 ) ) }.
% 0.93/1.56 { ! class_Rings_Oring__1( X ), c_member( X, c_Groups_Oone__class_Oone( X )
% 0.93/1.56 , c_Int_Oring__1__class_OInts( X ) ) }.
% 0.93/1.56 { c_member( tc_RealDef_Oreal, c_RealDef_Oreal( tc_Nat_Onat, X ),
% 0.93/1.56 c_Int_Oring__1__class_OInts( tc_RealDef_Oreal ) ) }.
% 0.93/1.56 { ! class_Int_Oring__char__0( X ), ! c_member( X, Y,
% 0.93/1.56 c_Int_Oring__1__class_OInts( X ) ), ! c_Groups_Oplus__class_Oplus( X, Y,
% 0.93/1.56 Y ) = c_Groups_Ozero__class_Ozero( X ), Y = c_Groups_Ozero__class_Ozero(
% 0.93/1.56 X ) }.
% 0.93/1.56 { ! class_Int_Oring__char__0( X ), ! c_member( X, Y,
% 0.93/1.56 c_Int_Oring__1__class_OInts( X ) ), ! Y = c_Groups_Ozero__class_Ozero( X
% 0.93/1.56 ), c_Groups_Oplus__class_Oplus( X, Y, Y ) = c_Groups_Ozero__class_Ozero
% 0.93/1.56 ( X ) }.
% 0.93/1.56 { ! class_Int_Oring__char__0( X ), ! c_member( X, Y,
% 0.93/1.56 c_Int_Oring__1__class_OInts( X ) ), ! c_Groups_Oplus__class_Oplus( X,
% 0.93/1.56 c_Groups_Oplus__class_Oplus( X, c_Groups_Oone__class_Oone( X ), Y ), Y )
% 0.93/1.56 = c_Groups_Ozero__class_Ozero( X ) }.
% 0.93/1.56 { ! c_Orderings_Oord__class_Oless__eq( tc_RealDef_Oreal,
% 0.93/1.56 c_Groups_Ozero__class_Ozero( tc_RealDef_Oreal ), X ),
% 0.93/1.56 c_Orderings_Oord__class_Oless__eq( tc_RealDef_Oreal,
% 0.93/1.56 c_Groups_Oplus__class_Oplus( tc_RealDef_Oreal, hAPP( hAPP(
% 0.93/1.56 c_Groups_Otimes__class_Otimes( tc_RealDef_Oreal ), c_RealDef_Oreal(
% 0.93/1.56 tc_Nat_Onat, Y ) ), X ), c_Groups_Oone__class_Oone( tc_RealDef_Oreal ) )
% 0.93/1.56 , hAPP( hAPP( c_Power_Opower__class_Opower( tc_RealDef_Oreal ),
% 0.93/1.56 c_Groups_Oplus__class_Oplus( tc_RealDef_Oreal, X,
% 0.93/1.56 c_Groups_Oone__class_Oone( tc_RealDef_Oreal ) ) ), Y ) ) }.
% 0.93/1.56 { ! c_Finite__Set_Ofold1Set( U, T, c_Set_Oinsert( U, Z, Y ), X ),
% 0.93/1.56 c_Set_Oinsert( U, Z, Y ) = c_Set_Oinsert( U, skol59( X, Y, Z, T, U ),
% 0.93/1.56 skol73( X, Y, Z, T, U ) ) }.
% 0.93/1.56 { ! c_Finite__Set_Ofold1Set( U, T, c_Set_Oinsert( U, Z, Y ), X ), alpha15(
% 0.93/1.56 X, T, U, skol59( X, Y, Z, T, U ), skol73( X, Y, Z, T, U ) ) }.
% 0.93/1.56 { ! c_Set_Oinsert( U, Z, Y ) = c_Set_Oinsert( U, W, V0 ), ! alpha15( X, T,
% 0.93/1.56 U, W, V0 ), c_Finite__Set_Ofold1Set( U, T, c_Set_Oinsert( U, Z, Y ), X )
% 0.93/1.56 }.
% 0.93/1.56 { ! alpha15( X, Y, Z, T, U ), c_Finite__Set_Ofold__graph( Z, Z, Y, T, U, X
% 0.93/1.56 ) }.
% 0.93/1.56 { ! alpha15( X, Y, Z, T, U ), ! c_member( Z, T, U ) }.
% 0.93/1.56 { ! c_Finite__Set_Ofold__graph( Z, Z, Y, T, U, X ), c_member( Z, T, U ),
% 0.93/1.56 alpha15( X, Y, Z, T, U ) }.
% 0.93/1.56 { ! class_Rings_Oring__1( X ), ! c_member( X, Y,
% 0.93/1.56 c_Int_Oring__1__class_OInts( X ) ), c_member( X, hAPP( hAPP(
% 0.93/1.56 c_Power_Opower__class_Opower( X ), Y ), Z ), c_Int_Oring__1__class_OInts
% 0.93/1.56 ( X ) ) }.
% 0.93/1.56 { ! class_Rings_Ocomm__semiring__1( X ), hAPP( hAPP(
% 0.93/1.56 c_Power_Opower__class_Opower( X ), Y ), c_Groups_Ozero__class_Ozero(
% 0.93/1.56 tc_Nat_Onat ) ) = c_Groups_Oone__class_Oone( X ) }.
% 0.93/1.56 { ! class_Rings_Ocomm__semiring__1( X ), hAPP( hAPP(
% 0.93/1.56 c_Power_Opower__class_Opower( X ), Y ), c_Groups_Oone__class_Oone(
% 0.93/1.56 tc_Nat_Onat ) ) = Y }.
% 0.93/1.56 { ! class_Rings_Ocomm__semiring__1( X ), hAPP( hAPP(
% 0.93/1.56 c_Power_Opower__class_Opower( X ), hAPP( hAPP(
% 0.93/1.56 c_Groups_Otimes__class_Otimes( X ), T ), Z ) ), Y ) = hAPP( hAPP(
% 0.93/1.56 c_Groups_Otimes__class_Otimes( X ), hAPP( hAPP(
% 0.93/1.56 c_Power_Opower__class_Opower( X ), T ), Y ) ), hAPP( hAPP(
% 0.93/1.56 c_Power_Opower__class_Opower( X ), Z ), Y ) ) }.
% 0.93/1.56 { ! class_Rings_Ocomm__semiring__1( X ), hAPP( hAPP(
% 0.93/1.56 c_Power_Opower__class_Opower( X ), hAPP( hAPP(
% 0.93/1.56 c_Power_Opower__class_Opower( X ), T ), Z ) ), Y ) = hAPP( hAPP(
% 0.93/1.56 c_Power_Opower__class_Opower( X ), T ), hAPP( hAPP(
% 0.93/1.56 c_Groups_Otimes__class_Otimes( tc_Nat_Onat ), Z ), Y ) ) }.
% 0.93/1.56 { ! class_Rings_Ocomm__semiring__1( X ), hAPP( hAPP(
% 0.93/1.56 c_Groups_Otimes__class_Otimes( X ), hAPP( hAPP(
% 0.93/1.56 c_Power_Opower__class_Opower( X ), T ), Z ) ), hAPP( hAPP(
% 0.93/1.56 c_Power_Opower__class_Opower( X ), T ), Y ) ) = hAPP( hAPP(
% 0.93/1.56 c_Power_Opower__class_Opower( X ), T ), c_Groups_Oplus__class_Oplus(
% 0.93/1.56 tc_Nat_Onat, Z, Y ) ) }.
% 0.93/1.56 { ! class_Groups_Omonoid__mult( X ), ! c_Orderings_Oord__class_Oless(
% 0.93/1.56 tc_Nat_Onat, c_Groups_Ozero__class_Ozero( tc_Nat_Onat ), Y ), hAPP( hAPP
% 0.93/1.56 ( c_Groups_Otimes__class_Otimes( X ), hAPP( hAPP(
% 0.93/1.56 c_Power_Opower__class_Opower( X ), Z ), c_Groups_Ominus__class_Ominus(
% 0.93/1.56 tc_Nat_Onat, Y, c_Groups_Oone__class_Oone( tc_Nat_Onat ) ) ) ), Z ) =
% 0.93/1.56 hAPP( hAPP( c_Power_Opower__class_Opower( X ), Z ), Y ) }.
% 0.93/1.56 { ! class_Power_Opower( X ), ! Z = c_Groups_Ozero__class_Ozero( tc_Nat_Onat
% 0.93/1.56 ), hAPP( hAPP( c_Power_Opower__class_Opower( X ), Y ), Z ) =
% 0.93/1.56 c_Groups_Oone__class_Oone( X ) }.
% 0.93/1.56 { ! class_Power_Opower( X ), Z = c_Groups_Ozero__class_Ozero( tc_Nat_Onat )
% 0.93/1.56 , hAPP( hAPP( c_Power_Opower__class_Opower( X ), Y ), Z ) = hAPP( hAPP(
% 0.93/1.56 c_Groups_Otimes__class_Otimes( X ), Y ), hAPP( hAPP(
% 0.93/1.56 c_Power_Opower__class_Opower( X ), Y ), c_Groups_Ominus__class_Ominus(
% 0.93/1.56 tc_Nat_Onat, Z, c_Groups_Oone__class_Oone( tc_Nat_Onat ) ) ) ) }.
% 0.93/1.56 { ! class_Rings_Olinordered__semidom( X ), ! c_Orderings_Oord__class_Oless
% 0.93/1.56 ( X, Z, Y ), ! c_Orderings_Oord__class_Oless__eq( X,
% 0.93/1.56 c_Groups_Ozero__class_Ozero( X ), Z ), ! c_Orderings_Oord__class_Oless(
% 0.93/1.56 tc_Nat_Onat, c_Groups_Ozero__class_Ozero( tc_Nat_Onat ), T ),
% 0.93/1.56 c_Orderings_Oord__class_Oless( X, hAPP( hAPP(
% 0.93/1.56 c_Power_Opower__class_Opower( X ), Z ), T ), hAPP( hAPP(
% 0.93/1.56 c_Power_Opower__class_Opower( X ), Y ), T ) ) }.
% 0.93/1.56 { hAPP( hAPP( c_Power_Opower__class_Opower( tc_Int_Oint ), hAPP( hAPP(
% 0.93/1.56 c_Power_Opower__class_Opower( tc_Int_Oint ), Z ), Y ) ), X ) = hAPP( hAPP
% 0.93/1.56 ( c_Power_Opower__class_Opower( tc_Int_Oint ), Z ), hAPP( hAPP(
% 0.93/1.56 c_Groups_Otimes__class_Otimes( tc_Nat_Onat ), Y ), X ) ) }.
% 0.93/1.56 { hAPP( hAPP( c_Power_Opower__class_Opower( tc_Int_Oint ), Z ),
% 0.93/1.56 c_Groups_Oplus__class_Oplus( tc_Nat_Onat, Y, X ) ) = hAPP( hAPP(
% 0.93/1.56 c_Groups_Otimes__class_Otimes( tc_Int_Oint ), hAPP( hAPP(
% 0.93/1.56 c_Power_Opower__class_Opower( tc_Int_Oint ), Z ), Y ) ), hAPP( hAPP(
% 0.93/1.56 c_Power_Opower__class_Opower( tc_Int_Oint ), Z ), X ) ) }.
% 0.93/1.56 { c_RealDef_Oreal( tc_Nat_Onat, hAPP( hAPP( c_Power_Opower__class_Opower(
% 0.93/1.56 tc_Nat_Onat ), Y ), X ) ) = hAPP( hAPP( c_Power_Opower__class_Opower(
% 0.93/1.56 tc_RealDef_Oreal ), c_RealDef_Oreal( tc_Nat_Onat, Y ) ), X ) }.
% 0.93/1.56 { hAPP( hAPP( c_Power_Opower__class_Opower( tc_RealDef_Oreal ),
% 0.93/1.56 c_RealDef_Oreal( tc_Nat_Onat, Y ) ), X ) = c_RealDef_Oreal( tc_Nat_Onat,
% 0.93/1.56 hAPP( hAPP( c_Power_Opower__class_Opower( tc_Nat_Onat ), Y ), X ) ) }.
% 0.93/1.56 { ! c_Orderings_Oord__class_Oless( tc_Nat_Onat, c_Groups_Ozero__class_Ozero
% 0.93/1.56 ( tc_Nat_Onat ), hAPP( hAPP( c_Power_Opower__class_Opower( tc_Nat_Onat )
% 0.93/1.56 , Y ), X ) ), c_Orderings_Oord__class_Oless( tc_Nat_Onat,
% 0.93/1.56 c_Groups_Ozero__class_Ozero( tc_Nat_Onat ), Y ), X =
% 0.93/1.56 c_Groups_Ozero__class_Ozero( tc_Nat_Onat ) }.
% 0.93/1.56 { ! c_Orderings_Oord__class_Oless( tc_Nat_Onat, c_Groups_Ozero__class_Ozero
% 0.93/1.56 ( tc_Nat_Onat ), Y ), c_Orderings_Oord__class_Oless( tc_Nat_Onat,
% 0.93/1.56 c_Groups_Ozero__class_Ozero( tc_Nat_Onat ), hAPP( hAPP(
% 0.93/1.56 c_Power_Opower__class_Opower( tc_Nat_Onat ), Y ), X ) ) }.
% 0.93/1.56 { ! X = c_Groups_Ozero__class_Ozero( tc_Nat_Onat ),
% 0.93/1.56 c_Orderings_Oord__class_Oless( tc_Nat_Onat, c_Groups_Ozero__class_Ozero(
% 0.93/1.56 tc_Nat_Onat ), hAPP( hAPP( c_Power_Opower__class_Opower( tc_Nat_Onat ), Y
% 0.93/1.56 ), X ) ) }.
% 0.93/1.56 { ! c_Orderings_Oord__class_Oless( tc_Nat_Onat, c_Groups_Ozero__class_Ozero
% 0.93/1.56 ( tc_Nat_Onat ), X ), ! c_Orderings_Oord__class_Oless( tc_Nat_Onat, hAPP
% 0.93/1.56 ( hAPP( c_Power_Opower__class_Opower( tc_Nat_Onat ), X ), Z ), hAPP( hAPP
% 0.93/1.56 ( c_Power_Opower__class_Opower( tc_Nat_Onat ), X ), Y ) ),
% 0.93/1.56 c_Orderings_Oord__class_Oless( tc_Nat_Onat, Z, Y ) }.
% 0.93/1.56 { ! X = c_RealDef_Oreal( tc_Nat_Onat, c_RComplete_Onatfloor( X ) ),
% 0.93/1.56 c_RComplete_Onatfloor( hAPP( hAPP( c_Power_Opower__class_Opower(
% 0.93/1.56 tc_RealDef_Oreal ), X ), Y ) ) = hAPP( hAPP( c_Power_Opower__class_Opower
% 0.93/1.56 ( tc_Nat_Onat ), c_RComplete_Onatfloor( X ) ), Y ) }.
% 0.93/1.56 { ! Y = c_Groups_Ozero__class_Ozero( tc_Nat_Onat ), hAPP( hAPP(
% 0.93/1.56 c_Power_Opower__class_Opower( tc_Nat_Onat ), X ), Y ) =
% 0.93/1.56 c_Groups_Oone__class_Oone( tc_Nat_Onat ) }.
% 0.93/1.56 { Y = c_Groups_Ozero__class_Ozero( tc_Nat_Onat ), hAPP( hAPP(
% 0.93/1.56 c_Power_Opower__class_Opower( tc_Nat_Onat ), X ), Y ) = hAPP( hAPP(
% 0.93/1.56 c_Groups_Otimes__class_Otimes( tc_Nat_Onat ), X ), hAPP( hAPP(
% 0.93/1.56 c_Power_Opower__class_Opower( tc_Nat_Onat ), X ),
% 0.93/1.56 c_Groups_Ominus__class_Ominus( tc_Nat_Onat, Y, c_Groups_Oone__class_Oone
% 0.93/1.56 ( tc_Nat_Onat ) ) ) ) }.
% 0.93/1.56 { ! class_Rings_Oring__1__no__zero__divisors( X ), Y =
% 0.93/1.56 c_Groups_Ozero__class_Ozero( X ), ! hAPP( hAPP(
% 0.93/1.56 c_Power_Opower__class_Opower( X ), Y ), Z ) = c_Groups_Ozero__class_Ozero
% 0.93/1.56 ( X ) }.
% 0.93/1.56 { ! class_Groups_Ocomm__monoid__mult( X ), hAPP( hAPP(
% 0.93/1.56 c_Power_Opower__class_Opower( X ), hAPP( hAPP(
% 0.93/1.56 c_Groups_Otimes__class_Otimes( X ), T ), Z ) ), Y ) = hAPP( hAPP(
% 0.93/1.56 c_Groups_Otimes__class_Otimes( X ), hAPP( hAPP(
% 0.93/1.56 c_Power_Opower__class_Opower( X ), T ), Y ) ), hAPP( hAPP(
% 0.93/1.56 c_Power_Opower__class_Opower( X ), Z ), Y ) ) }.
% 0.93/1.56 { ! class_Groups_Omonoid__mult( X ), hAPP( hAPP(
% 0.93/1.56 c_Groups_Otimes__class_Otimes( X ), hAPP( hAPP(
% 0.93/1.56 c_Power_Opower__class_Opower( X ), Z ), Y ) ), Z ) = hAPP( hAPP(
% 0.93/1.56 c_Groups_Otimes__class_Otimes( X ), Z ), hAPP( hAPP(
% 0.93/1.56 c_Power_Opower__class_Opower( X ), Z ), Y ) ) }.
% 0.93/1.56 { ! class_Groups_Omonoid__mult( X ), hAPP( hAPP(
% 0.93/1.56 c_Power_Opower__class_Opower( X ), c_Groups_Oone__class_Oone( X ) ), Y )
% 0.93/1.56 = c_Groups_Oone__class_Oone( X ) }.
% 0.93/1.56 { ! class_Groups_Omonoid__mult( X ), hAPP( hAPP(
% 0.93/1.56 c_Power_Opower__class_Opower( X ), T ), hAPP( hAPP(
% 0.93/1.56 c_Groups_Otimes__class_Otimes( tc_Nat_Onat ), Z ), Y ) ) = hAPP( hAPP(
% 0.93/1.56 c_Power_Opower__class_Opower( X ), hAPP( hAPP(
% 0.93/1.56 c_Power_Opower__class_Opower( X ), T ), Z ) ), Y ) }.
% 0.93/1.56 { ! class_Groups_Omonoid__mult( X ), hAPP( hAPP(
% 0.93/1.56 c_Power_Opower__class_Opower( X ), Y ), c_Groups_Oone__class_Oone(
% 0.93/1.56 tc_Nat_Onat ) ) = Y }.
% 0.93/1.56 { ! class_Rings_Olinordered__semidom( X ), !
% 0.93/1.56 c_Orderings_Oord__class_Oless__eq( X, Z, Y ), !
% 0.93/1.56 c_Orderings_Oord__class_Oless__eq( X, c_Groups_Ozero__class_Ozero( X ), Z
% 0.93/1.56 ), c_Orderings_Oord__class_Oless__eq( X, hAPP( hAPP(
% 0.93/1.56 c_Power_Opower__class_Opower( X ), Z ), T ), hAPP( hAPP(
% 0.93/1.56 c_Power_Opower__class_Opower( X ), Y ), T ) ) }.
% 0.93/1.56 { ! class_Rings_Olinordered__semidom( X ), !
% 0.93/1.56 c_Orderings_Oord__class_Oless__eq( X, c_Groups_Ozero__class_Ozero( X ), Y
% 0.93/1.56 ), c_Orderings_Oord__class_Oless__eq( X, c_Groups_Ozero__class_Ozero( X
% 0.93/1.56 ), hAPP( hAPP( c_Power_Opower__class_Opower( X ), Y ), Z ) ) }.
% 0.93/1.56 { ! class_Rings_Olinordered__semidom( X ), ! c_Orderings_Oord__class_Oless
% 0.93/1.56 ( X, c_Groups_Ozero__class_Ozero( X ), Y ), c_Orderings_Oord__class_Oless
% 0.93/1.56 ( X, c_Groups_Ozero__class_Ozero( X ), hAPP( hAPP(
% 0.93/1.56 c_Power_Opower__class_Opower( X ), Y ), Z ) ) }.
% 0.93/1.56 { ! class_Rings_Olinordered__semidom( X ), !
% 0.93/1.56 c_Orderings_Oord__class_Oless__eq( X, c_Groups_Oone__class_Oone( X ), Y )
% 0.93/1.56 , c_Orderings_Oord__class_Oless__eq( X, c_Groups_Oone__class_Oone( X ),
% 0.93/1.56 hAPP( hAPP( c_Power_Opower__class_Opower( X ), Y ), Z ) ) }.
% 0.93/1.57 { ! class_Power_Opower( X ), ! class_Rings_Omult__zero( X ), !
% 0.93/1.57 class_Rings_Ono__zero__divisors( X ), ! class_Rings_Ozero__neq__one( X )
% 0.93/1.57 , ! hAPP( hAPP( c_Power_Opower__class_Opower( X ), Z ), Y ) =
% 0.93/1.57 c_Groups_Ozero__class_Ozero( X ), Z = c_Groups_Ozero__class_Ozero( X ) }
% 0.93/1.57 .
% 0.93/1.57 { ! class_Power_Opower( X ), ! class_Rings_Omult__zero( X ), !
% 0.93/1.57 class_Rings_Ono__zero__divisors( X ), ! class_Rings_Ozero__neq__one( X )
% 0.93/1.57 , ! hAPP( hAPP( c_Power_Opower__class_Opower( X ), Z ), Y ) =
% 0.93/1.57 c_Groups_Ozero__class_Ozero( X ), ! Y = c_Groups_Ozero__class_Ozero(
% 0.93/1.57 tc_Nat_Onat ) }.
% 0.93/1.57 { ! class_Power_Opower( X ), ! class_Rings_Omult__zero( X ), !
% 0.93/1.57 class_Rings_Ono__zero__divisors( X ), ! class_Rings_Ozero__neq__one( X )
% 0.93/1.57 , ! Z = c_Groups_Ozero__class_Ozero( X ), Y = c_Groups_Ozero__class_Ozero
% 0.93/1.57 ( tc_Nat_Onat ), hAPP( hAPP( c_Power_Opower__class_Opower( X ), Z ), Y )
% 0.93/1.57 = c_Groups_Ozero__class_Ozero( X ) }.
% 0.93/1.57 { ! class_Rings_Olinordered__semidom( X ), ! c_Orderings_Oord__class_Oless
% 0.93/1.57 ( X, c_Groups_Oone__class_Oone( X ), Y ), ! hAPP( hAPP(
% 0.93/1.57 c_Power_Opower__class_Opower( X ), Y ), T ) = hAPP( hAPP(
% 0.93/1.57 c_Power_Opower__class_Opower( X ), Y ), Z ), T = Z }.
% 0.93/1.57 { ! class_Rings_Olinordered__semidom( X ), ! c_Orderings_Oord__class_Oless
% 0.93/1.57 ( X, c_Groups_Oone__class_Oone( X ), Y ), ! T = Z, hAPP( hAPP(
% 0.93/1.57 c_Power_Opower__class_Opower( X ), Y ), T ) = hAPP( hAPP(
% 0.93/1.57 c_Power_Opower__class_Opower( X ), Y ), Z ) }.
% 0.93/1.57 { ! class_Power_Opower( X ), hAPP( hAPP( c_Power_Opower__class_Opower( X )
% 0.93/1.57 , Y ), c_Groups_Ozero__class_Ozero( tc_Nat_Onat ) ) =
% 0.93/1.57 c_Groups_Oone__class_Oone( X ) }.
% 0.93/1.57 { ! class_Groups_Omonoid__mult( X ), hAPP( hAPP(
% 0.93/1.57 c_Power_Opower__class_Opower( X ), T ), c_Groups_Oplus__class_Oplus(
% 0.93/1.57 tc_Nat_Onat, Z, Y ) ) = hAPP( hAPP( c_Groups_Otimes__class_Otimes( X ),
% 0.93/1.57 hAPP( hAPP( c_Power_Opower__class_Opower( X ), T ), Z ) ), hAPP( hAPP(
% 0.93/1.57 c_Power_Opower__class_Opower( X ), T ), Y ) ) }.
% 0.93/1.57 { ! class_Rings_Olinordered__semidom( X ), ! c_Orderings_Oord__class_Oless
% 0.93/1.57 ( X, hAPP( hAPP( c_Power_Opower__class_Opower( X ), Z ), T ), hAPP( hAPP
% 0.93/1.57 ( c_Power_Opower__class_Opower( X ), Y ), T ) ), !
% 0.93/1.57 c_Orderings_Oord__class_Oless__eq( X, c_Groups_Ozero__class_Ozero( X ), Y
% 0.93/1.57 ), c_Orderings_Oord__class_Oless( X, Z, Y ) }.
% 0.93/1.57 { ! class_Rings_Olinordered__semidom( X ), ! c_Orderings_Oord__class_Oless
% 0.93/1.57 ( X, c_Groups_Oone__class_Oone( X ), Y ), c_Orderings_Oord__class_Oless(
% 0.93/1.57 X, c_Groups_Oone__class_Oone( X ), hAPP( hAPP(
% 0.93/1.57 c_Groups_Otimes__class_Otimes( X ), Y ), hAPP( hAPP(
% 0.93/1.57 c_Power_Opower__class_Opower( X ), Y ), Z ) ) ) }.
% 0.93/1.57 { ! class_Rings_Olinordered__semidom( X ), ! c_Orderings_Oord__class_Oless
% 0.93/1.57 ( X, c_Groups_Oone__class_Oone( X ), Y ), c_Orderings_Oord__class_Oless(
% 0.93/1.57 X, hAPP( hAPP( c_Power_Opower__class_Opower( X ), Y ), Z ), hAPP( hAPP(
% 0.93/1.57 c_Groups_Otimes__class_Otimes( X ), Y ), hAPP( hAPP(
% 0.93/1.57 c_Power_Opower__class_Opower( X ), Y ), Z ) ) ) }.
% 0.93/1.57 { ! class_Power_Opower( X ), ! class_Rings_Osemiring__0( X ), ! Y =
% 0.93/1.57 c_Groups_Ozero__class_Ozero( tc_Nat_Onat ), hAPP( hAPP(
% 0.93/1.57 c_Power_Opower__class_Opower( X ), c_Groups_Ozero__class_Ozero( X ) ), Y
% 0.93/1.57 ) = c_Groups_Oone__class_Oone( X ) }.
% 0.93/1.57 { ! class_Power_Opower( X ), ! class_Rings_Osemiring__0( X ), Y =
% 0.93/1.57 c_Groups_Ozero__class_Ozero( tc_Nat_Onat ), hAPP( hAPP(
% 0.93/1.57 c_Power_Opower__class_Opower( X ), c_Groups_Ozero__class_Ozero( X ) ), Y
% 0.93/1.57 ) = c_Groups_Ozero__class_Ozero( X ) }.
% 0.93/1.57 { ! class_Rings_Olinordered__semidom( X ), ! c_Orderings_Oord__class_Oless
% 0.93/1.57 ( tc_Nat_Onat, Z, Y ), ! c_Orderings_Oord__class_Oless( X,
% 0.93/1.57 c_Groups_Oone__class_Oone( X ), T ), c_Orderings_Oord__class_Oless( X,
% 0.93/1.57 hAPP( hAPP( c_Power_Opower__class_Opower( X ), T ), Z ), hAPP( hAPP(
% 0.93/1.57 c_Power_Opower__class_Opower( X ), T ), Y ) ) }.
% 0.93/1.57 { ! class_Rings_Olinordered__semidom( X ), ! c_Orderings_Oord__class_Oless
% 0.93/1.57 ( X, c_Groups_Oone__class_Oone( X ), Y ), ! c_Orderings_Oord__class_Oless
% 0.93/1.57 ( X, hAPP( hAPP( c_Power_Opower__class_Opower( X ), Y ), T ), hAPP( hAPP
% 0.93/1.57 ( c_Power_Opower__class_Opower( X ), Y ), Z ) ),
% 0.93/1.57 c_Orderings_Oord__class_Oless( tc_Nat_Onat, T, Z ) }.
% 0.93/1.57 { ! class_Rings_Olinordered__semidom( X ), ! c_Orderings_Oord__class_Oless
% 0.93/1.57 ( X, c_Groups_Oone__class_Oone( X ), Y ), ! c_Orderings_Oord__class_Oless
% 0.93/1.57 ( X, hAPP( hAPP( c_Power_Opower__class_Opower( X ), Y ), T ), hAPP( hAPP
% 0.93/1.57 ( c_Power_Opower__class_Opower( X ), Y ), Z ) ),
% 0.93/1.57 c_Orderings_Oord__class_Oless( tc_Nat_Onat, T, Z ) }.
% 0.93/1.57 { ! class_Rings_Olinordered__semidom( X ), ! c_Orderings_Oord__class_Oless
% 0.93/1.57 ( X, c_Groups_Oone__class_Oone( X ), Y ), ! c_Orderings_Oord__class_Oless
% 0.93/1.57 ( tc_Nat_Onat, T, Z ), c_Orderings_Oord__class_Oless( X, hAPP( hAPP(
% 0.93/1.57 c_Power_Opower__class_Opower( X ), Y ), T ), hAPP( hAPP(
% 0.93/1.57 c_Power_Opower__class_Opower( X ), Y ), Z ) ) }.
% 0.93/1.57 { ! class_Rings_Olinordered__semidom( X ), !
% 0.93/1.57 c_Orderings_Oord__class_Oless__eq( tc_Nat_Onat, Z, Y ), !
% 0.93/1.57 c_Orderings_Oord__class_Oless__eq( X, c_Groups_Oone__class_Oone( X ), T )
% 0.93/1.57 , c_Orderings_Oord__class_Oless__eq( X, hAPP( hAPP(
% 0.93/1.57 c_Power_Opower__class_Opower( X ), T ), Z ), hAPP( hAPP(
% 0.93/1.57 c_Power_Opower__class_Opower( X ), T ), Y ) ) }.
% 0.93/1.57 { ! class_Rings_Olinordered__semidom( X ), ! c_Orderings_Oord__class_Oless
% 0.93/1.57 ( X, c_Groups_Ozero__class_Ozero( X ), Y ), !
% 0.93/1.57 c_Orderings_Oord__class_Oless( X, Y, c_Groups_Oone__class_Oone( X ) ),
% 0.93/1.57 c_Orderings_Oord__class_Oless( X, hAPP( hAPP(
% 0.93/1.57 c_Groups_Otimes__class_Otimes( X ), Y ), hAPP( hAPP(
% 0.93/1.57 c_Power_Opower__class_Opower( X ), Y ), Z ) ), hAPP( hAPP(
% 0.93/1.57 c_Power_Opower__class_Opower( X ), Y ), Z ) ) }.
% 0.93/1.57 { ! class_Rings_Olinordered__semidom( X ), ! c_Orderings_Oord__class_Oless
% 0.93/1.57 ( tc_Nat_Onat, Z, Y ), ! c_Orderings_Oord__class_Oless( X,
% 0.93/1.57 c_Groups_Ozero__class_Ozero( X ), T ), ! c_Orderings_Oord__class_Oless( X
% 0.93/1.57 , T, c_Groups_Oone__class_Oone( X ) ), c_Orderings_Oord__class_Oless( X,
% 0.93/1.57 hAPP( hAPP( c_Power_Opower__class_Opower( X ), T ), Y ), hAPP( hAPP(
% 0.93/1.57 c_Power_Opower__class_Opower( X ), T ), Z ) ) }.
% 0.93/1.57 { ! class_Rings_Olinordered__semidom( X ), ! hAPP( hAPP(
% 0.93/1.57 c_Power_Opower__class_Opower( X ), T ), Z ) = hAPP( hAPP(
% 0.93/1.57 c_Power_Opower__class_Opower( X ), Y ), Z ), !
% 0.93/1.57 c_Orderings_Oord__class_Oless__eq( X, c_Groups_Ozero__class_Ozero( X ), T
% 0.93/1.57 ), ! c_Orderings_Oord__class_Oless__eq( X, c_Groups_Ozero__class_Ozero(
% 0.93/1.57 X ), Y ), ! c_Orderings_Oord__class_Oless( tc_Nat_Onat,
% 0.93/1.57 c_Groups_Ozero__class_Ozero( tc_Nat_Onat ), Z ), T = Y }.
% 0.93/1.57 { ! class_Rings_Olinordered__semidom( X ), !
% 0.93/1.57 c_Orderings_Oord__class_Oless__eq( tc_Nat_Onat, Z, Y ), !
% 0.93/1.57 c_Orderings_Oord__class_Oless__eq( X, c_Groups_Ozero__class_Ozero( X ), T
% 0.93/1.57 ), ! c_Orderings_Oord__class_Oless__eq( X, T, c_Groups_Oone__class_Oone
% 0.93/1.57 ( X ) ), c_Orderings_Oord__class_Oless__eq( X, hAPP( hAPP(
% 0.93/1.57 c_Power_Opower__class_Opower( X ), T ), Y ), hAPP( hAPP(
% 0.93/1.57 c_Power_Opower__class_Opower( X ), T ), Z ) ) }.
% 0.93/1.57 { ! class_Rings_Olinordered__semidom( X ), ! c_Orderings_Oord__class_Oless
% 0.93/1.57 ( X, c_Groups_Oone__class_Oone( X ), Y ), !
% 0.93/1.57 c_Orderings_Oord__class_Oless__eq( X, hAPP( hAPP(
% 0.93/1.57 c_Power_Opower__class_Opower( X ), Y ), T ), hAPP( hAPP(
% 0.93/1.57 c_Power_Opower__class_Opower( X ), Y ), Z ) ),
% 0.93/1.57 c_Orderings_Oord__class_Oless__eq( tc_Nat_Onat, T, Z ) }.
% 0.93/1.57 { ! class_Rings_Olinordered__semidom( X ), ! c_Orderings_Oord__class_Oless
% 0.93/1.57 ( X, c_Groups_Oone__class_Oone( X ), Y ), !
% 0.93/1.57 c_Orderings_Oord__class_Oless__eq( tc_Nat_Onat, T, Z ),
% 0.93/1.57 c_Orderings_Oord__class_Oless__eq( X, hAPP( hAPP(
% 0.93/1.57 c_Power_Opower__class_Opower( X ), Y ), T ), hAPP( hAPP(
% 0.93/1.57 c_Power_Opower__class_Opower( X ), Y ), Z ) ) }.
% 0.93/1.57 { ! class_Rings_Olinordered__semidom( X ), ! c_Orderings_Oord__class_Oless
% 0.93/1.57 ( X, c_Groups_Oone__class_Oone( X ), Y ), !
% 0.93/1.57 c_Orderings_Oord__class_Oless__eq( X, hAPP( hAPP(
% 0.93/1.57 c_Power_Opower__class_Opower( X ), Y ), T ), hAPP( hAPP(
% 0.93/1.57 c_Power_Opower__class_Opower( X ), Y ), Z ) ),
% 0.93/1.57 c_Orderings_Oord__class_Oless__eq( tc_Nat_Onat, T, Z ) }.
% 0.93/1.57 { ! class_Rings_Olinordered__semidom( X ), ! c_Orderings_Oord__class_Oless
% 0.93/1.57 ( X, c_Groups_Oone__class_Oone( X ), Y ), ! c_Orderings_Oord__class_Oless
% 0.93/1.57 ( tc_Nat_Onat, c_Groups_Ozero__class_Ozero( tc_Nat_Onat ), Z ),
% 0.93/1.57 c_Orderings_Oord__class_Oless( X, c_Groups_Oone__class_Oone( X ), hAPP(
% 0.93/1.57 hAPP( c_Power_Opower__class_Opower( X ), Y ), Z ) ) }.
% 0.93/1.57 { ! class_Power_Opower( X ), c_Power_Opower__class_Opower( X ) =
% 0.93/1.57 c_Power_Opower_Opower( X, c_Groups_Oone__class_Oone( X ),
% 0.93/1.57 c_Groups_Otimes__class_Otimes( X ) ) }.
% 0.93/1.57 { ! c_Orderings_Oord__class_Oless( tc_Nat_Onat, c_Groups_Ozero__class_Ozero
% 0.93/1.57 ( tc_Nat_Onat ), hAPP( hAPP( c_Power_Opower__class_Opower( tc_Nat_Onat )
% 0.93/1.57 , Y ), X ) ), X = c_Groups_Ozero__class_Ozero( tc_Nat_Onat ),
% 0.93/1.57 c_Orderings_Oord__class_Oless( tc_Nat_Onat, c_Groups_Ozero__class_Ozero(
% 0.93/1.57 tc_Nat_Onat ), Y ) }.
% 0.93/1.57 { ! X = c_Groups_Ozero__class_Ozero( tc_Nat_Onat ),
% 0.93/1.57 c_Orderings_Oord__class_Oless( tc_Nat_Onat, c_Groups_Ozero__class_Ozero(
% 0.93/1.57 tc_Nat_Onat ), hAPP( hAPP( c_Power_Opower__class_Opower( tc_Nat_Onat ), Y
% 0.93/1.57 ), X ) ) }.
% 0.93/1.57 { ! c_Orderings_Oord__class_Oless( tc_Nat_Onat, c_Groups_Ozero__class_Ozero
% 0.93/1.57 ( tc_Nat_Onat ), Y ), c_Orderings_Oord__class_Oless( tc_Nat_Onat,
% 0.93/1.57 c_Groups_Ozero__class_Ozero( tc_Nat_Onat ), hAPP( hAPP(
% 0.93/1.57 c_Power_Opower__class_Opower( tc_Nat_Onat ), Y ), X ) ) }.
% 0.93/1.57 { ! c_Orderings_Oord__class_Oless( tc_Int_Oint, Y, X ), !
% 0.93/1.57 c_Orderings_Oord__class_Oless( tc_Int_Oint, c_Groups_Ozero__class_Ozero(
% 0.93/1.57 tc_Int_Oint ), Z ), c_Orderings_Oord__class_Oless( tc_Int_Oint, hAPP(
% 0.93/1.57 hAPP( c_Groups_Otimes__class_Otimes( tc_Int_Oint ), Z ), Y ), hAPP( hAPP
% 0.93/1.57 ( c_Groups_Otimes__class_Otimes( tc_Int_Oint ), Z ), X ) ) }.
% 0.93/1.57 { ! c_Orderings_Oord__class_Oless( tc_Int_Oint, c_Groups_Ozero__class_Ozero
% 0.93/1.57 ( tc_Int_Oint ), X ), ! hAPP( hAPP( c_Groups_Otimes__class_Otimes(
% 0.93/1.57 tc_Int_Oint ), X ), Y ) = c_Groups_Oone__class_Oone( tc_Int_Oint ), X =
% 0.93/1.57 c_Groups_Oone__class_Oone( tc_Int_Oint ) }.
% 0.93/1.57 { ! c_Orderings_Oord__class_Oless( tc_Int_Oint, c_Groups_Ozero__class_Ozero
% 0.93/1.57 ( tc_Int_Oint ), X ), ! hAPP( hAPP( c_Groups_Otimes__class_Otimes(
% 0.93/1.57 tc_Int_Oint ), X ), Y ) = c_Groups_Oone__class_Oone( tc_Int_Oint ), Y =
% 0.93/1.57 c_Groups_Oone__class_Oone( tc_Int_Oint ) }.
% 0.93/1.57 { ! c_Orderings_Oord__class_Oless( tc_Int_Oint, c_Groups_Ozero__class_Ozero
% 0.93/1.57 ( tc_Int_Oint ), X ), ! X = c_Groups_Oone__class_Oone( tc_Int_Oint ), ! Y
% 0.93/1.57 = c_Groups_Oone__class_Oone( tc_Int_Oint ), hAPP( hAPP(
% 0.93/1.57 c_Groups_Otimes__class_Otimes( tc_Int_Oint ), X ), Y ) =
% 0.93/1.57 c_Groups_Oone__class_Oone( tc_Int_Oint ) }.
% 0.93/1.57 { hAPP( hAPP( c_Groups_Otimes__class_Otimes( tc_Int_Oint ),
% 0.93/1.57 c_Groups_Oone__class_Oone( tc_Int_Oint ) ), X ) = X }.
% 0.93/1.57 { hAPP( hAPP( c_Groups_Otimes__class_Otimes( tc_Int_Oint ), X ),
% 0.93/1.57 c_Groups_Oone__class_Oone( tc_Int_Oint ) ) = X }.
% 0.93/1.57 { hAPP( hAPP( c_Groups_Otimes__class_Otimes( tc_Int_Oint ), hAPP( hAPP(
% 0.93/1.57 c_Groups_Otimes__class_Otimes( tc_Int_Oint ), Z ), Y ) ), X ) = hAPP(
% 0.93/1.57 hAPP( c_Groups_Otimes__class_Otimes( tc_Int_Oint ), Z ), hAPP( hAPP(
% 0.93/1.57 c_Groups_Otimes__class_Otimes( tc_Int_Oint ), Y ), X ) ) }.
% 0.93/1.57 { hAPP( hAPP( c_Groups_Otimes__class_Otimes( tc_Int_Oint ), Y ), X ) = hAPP
% 0.93/1.57 ( hAPP( c_Groups_Otimes__class_Otimes( tc_Int_Oint ), X ), Y ) }.
% 0.93/1.57 { hAPP( hAPP( c_Groups_Otimes__class_Otimes( tc_Int_Oint ), Z ),
% 0.93/1.57 c_Groups_Ominus__class_Ominus( tc_Int_Oint, Y, X ) ) =
% 0.93/1.57 c_Groups_Ominus__class_Ominus( tc_Int_Oint, hAPP( hAPP(
% 0.93/1.57 c_Groups_Otimes__class_Otimes( tc_Int_Oint ), Z ), Y ), hAPP( hAPP(
% 0.93/1.57 c_Groups_Otimes__class_Otimes( tc_Int_Oint ), Z ), X ) ) }.
% 0.93/1.57 { hAPP( hAPP( c_Groups_Otimes__class_Otimes( tc_Int_Oint ),
% 0.93/1.57 c_Groups_Ominus__class_Ominus( tc_Int_Oint, Z, Y ) ), X ) =
% 0.93/1.57 c_Groups_Ominus__class_Ominus( tc_Int_Oint, hAPP( hAPP(
% 0.93/1.57 c_Groups_Otimes__class_Otimes( tc_Int_Oint ), Z ), X ), hAPP( hAPP(
% 0.93/1.57 c_Groups_Otimes__class_Otimes( tc_Int_Oint ), Y ), X ) ) }.
% 0.93/1.57 { hAPP( hAPP( c_Groups_Otimes__class_Otimes( tc_Int_Oint ), Z ),
% 0.93/1.57 c_Groups_Oplus__class_Oplus( tc_Int_Oint, Y, X ) ) =
% 0.93/1.57 c_Groups_Oplus__class_Oplus( tc_Int_Oint, hAPP( hAPP(
% 0.93/1.57 c_Groups_Otimes__class_Otimes( tc_Int_Oint ), Z ), Y ), hAPP( hAPP(
% 0.93/1.57 c_Groups_Otimes__class_Otimes( tc_Int_Oint ), Z ), X ) ) }.
% 0.93/1.57 { hAPP( hAPP( c_Groups_Otimes__class_Otimes( tc_Int_Oint ),
% 0.93/1.57 c_Groups_Oplus__class_Oplus( tc_Int_Oint, Z, Y ) ), X ) =
% 0.93/1.57 c_Groups_Oplus__class_Oplus( tc_Int_Oint, hAPP( hAPP(
% 0.93/1.57 c_Groups_Otimes__class_Otimes( tc_Int_Oint ), Z ), X ), hAPP( hAPP(
% 0.93/1.57 c_Groups_Otimes__class_Otimes( tc_Int_Oint ), Y ), X ) ) }.
% 0.93/1.57 { hAPP( hAPP( c_Power_Opower_Opower( T, Z, Y ), X ),
% 0.93/1.57 c_Groups_Ozero__class_Ozero( tc_Nat_Onat ) ) = Z }.
% 0.93/1.57 { ! c_Orderings_Oord__class_Oless( tc_Nat_Onat, c_Groups_Ozero__class_Ozero
% 0.93/1.57 ( tc_Nat_Onat ), X ), ! c_Orderings_Oord__class_Oless( tc_RealDef_Oreal,
% 0.93/1.57 c_Groups_Ozero__class_Ozero( tc_RealDef_Oreal ), Y ),
% 0.93/1.57 c_Orderings_Oord__class_Oless( tc_RealDef_Oreal,
% 0.93/1.57 c_Groups_Ozero__class_Ozero( tc_RealDef_Oreal ), skol60( Z, T ) ) }.
% 0.93/1.57 { ! c_Orderings_Oord__class_Oless( tc_Nat_Onat, c_Groups_Ozero__class_Ozero
% 0.93/1.57 ( tc_Nat_Onat ), X ), ! c_Orderings_Oord__class_Oless( tc_RealDef_Oreal,
% 0.93/1.57 c_Groups_Ozero__class_Ozero( tc_RealDef_Oreal ), Y ), hAPP( hAPP(
% 0.93/1.57 c_Power_Opower__class_Opower( tc_RealDef_Oreal ), skol60( X, Y ) ), X ) =
% 0.93/1.57 Y }.
% 0.93/1.57 { ! c_Orderings_Oord__class_Oless( tc_Nat_Onat, c_Groups_Ozero__class_Ozero
% 0.93/1.57 ( tc_Nat_Onat ), X ), ! c_Orderings_Oord__class_Oless( tc_RealDef_Oreal,
% 0.93/1.57 c_Groups_Ozero__class_Ozero( tc_RealDef_Oreal ), Y ), !
% 0.93/1.57 c_Orderings_Oord__class_Oless( tc_RealDef_Oreal,
% 0.93/1.57 c_Groups_Ozero__class_Ozero( tc_RealDef_Oreal ), Z ), ! hAPP( hAPP(
% 0.93/1.57 c_Power_Opower__class_Opower( tc_RealDef_Oreal ), Z ), X ) = Y, Z =
% 0.93/1.57 skol60( X, Y ) }.
% 0.93/1.57 { ! c_Orderings_Oord__class_Oless( tc_Nat_Onat, c_Groups_Ozero__class_Ozero
% 0.93/1.57 ( tc_Nat_Onat ), X ), ! c_Orderings_Oord__class_Oless( tc_RealDef_Oreal,
% 0.93/1.57 c_Groups_Ozero__class_Ozero( tc_RealDef_Oreal ), Y ),
% 0.93/1.57 c_Orderings_Oord__class_Oless( tc_RealDef_Oreal,
% 0.93/1.57 c_Groups_Ozero__class_Ozero( tc_RealDef_Oreal ), skol61( Z, T ) ) }.
% 0.93/1.57 { ! c_Orderings_Oord__class_Oless( tc_Nat_Onat, c_Groups_Ozero__class_Ozero
% 0.93/1.57 ( tc_Nat_Onat ), X ), ! c_Orderings_Oord__class_Oless( tc_RealDef_Oreal,
% 0.93/1.57 c_Groups_Ozero__class_Ozero( tc_RealDef_Oreal ), Y ), hAPP( hAPP(
% 0.93/1.57 c_Power_Opower__class_Opower( tc_RealDef_Oreal ), skol61( X, Y ) ), X ) =
% 0.93/1.57 Y }.
% 0.93/1.57 { ! c_Groups_Oplus__class_Oplus( tc_Int_Oint, c_Groups_Oplus__class_Oplus(
% 0.93/1.57 tc_Int_Oint, c_Groups_Oone__class_Oone( tc_Int_Oint ), X ), X ) =
% 0.93/1.57 c_Groups_Ozero__class_Ozero( tc_Int_Oint ) }.
% 0.93/1.57 { c_Groups_Oplus__class_Oplus( tc_Int_Oint, c_Groups_Ozero__class_Ozero(
% 0.93/1.57 tc_Int_Oint ), X ) = X }.
% 0.93/1.57 { c_Groups_Oplus__class_Oplus( tc_Int_Oint, X, c_Groups_Ozero__class_Ozero
% 0.93/1.57 ( tc_Int_Oint ) ) = X }.
% 0.93/1.57 { ! c_Orderings_Oord__class_Oless__eq( tc_Int_Oint,
% 0.93/1.57 c_Groups_Ozero__class_Ozero( tc_Int_Oint ), X ),
% 0.93/1.57 c_Orderings_Oord__class_Oless( tc_Int_Oint, c_Groups_Ozero__class_Ozero(
% 0.93/1.57 tc_Int_Oint ), c_Groups_Oplus__class_Oplus( tc_Int_Oint,
% 0.93/1.57 c_Groups_Oone__class_Oone( tc_Int_Oint ), X ) ) }.
% 0.93/1.57 { ! c_Orderings_Oord__class_Oless( tc_Int_Oint, c_Groups_Oplus__class_Oplus
% 0.93/1.57 ( tc_Int_Oint, c_Groups_Oplus__class_Oplus( tc_Int_Oint,
% 0.93/1.57 c_Groups_Oone__class_Oone( tc_Int_Oint ), X ), X ),
% 0.93/1.57 c_Groups_Ozero__class_Ozero( tc_Int_Oint ) ),
% 0.93/1.57 c_Orderings_Oord__class_Oless( tc_Int_Oint, X,
% 0.93/1.57 c_Groups_Ozero__class_Ozero( tc_Int_Oint ) ) }.
% 0.93/1.57 { ! c_Orderings_Oord__class_Oless( tc_Int_Oint, X,
% 0.93/1.57 c_Groups_Ozero__class_Ozero( tc_Int_Oint ) ),
% 0.93/1.57 c_Orderings_Oord__class_Oless( tc_Int_Oint, c_Groups_Oplus__class_Oplus(
% 0.93/1.57 tc_Int_Oint, c_Groups_Oplus__class_Oplus( tc_Int_Oint,
% 0.93/1.57 c_Groups_Oone__class_Oone( tc_Int_Oint ), X ), X ),
% 0.93/1.57 c_Groups_Ozero__class_Ozero( tc_Int_Oint ) ) }.
% 0.93/1.57 { ! c_Orderings_Oord__class_Oless( tc_Int_Oint, Y, X ),
% 0.93/1.57 c_Orderings_Oord__class_Oless__eq( tc_Int_Oint,
% 0.93/1.57 c_Groups_Oplus__class_Oplus( tc_Int_Oint, Y, c_Groups_Oone__class_Oone(
% 0.93/1.57 tc_Int_Oint ) ), X ) }.
% 0.93/1.57 { ! c_Orderings_Oord__class_Oless__eq( tc_Int_Oint,
% 0.93/1.57 c_Groups_Oplus__class_Oplus( tc_Int_Oint, Y, c_Groups_Oone__class_Oone(
% 0.93/1.57 tc_Int_Oint ) ), X ), c_Orderings_Oord__class_Oless( tc_Int_Oint, Y, X )
% 0.93/1.57 }.
% 0.93/1.57 { ! c_Orderings_Oord__class_Oless( tc_Int_Oint, Y, X ),
% 0.93/1.57 c_Orderings_Oord__class_Oless__eq( tc_Int_Oint,
% 0.93/1.57 c_Groups_Oplus__class_Oplus( tc_Int_Oint, Y, c_Groups_Oone__class_Oone(
% 0.93/1.57 tc_Int_Oint ) ), X ) }.
% 0.93/1.57 { ! c_Orderings_Oord__class_Oless( tc_Int_Oint, Y,
% 0.93/1.57 c_Groups_Oplus__class_Oplus( tc_Int_Oint, X, c_Groups_Oone__class_Oone(
% 0.93/1.57 tc_Int_Oint ) ) ), c_Orderings_Oord__class_Oless( tc_Int_Oint, Y, X ), Y
% 0.93/1.57 = X }.
% 0.93/1.57 { ! c_Orderings_Oord__class_Oless( tc_Int_Oint, Y, X ),
% 0.93/1.57 c_Orderings_Oord__class_Oless( tc_Int_Oint, Y,
% 0.93/1.57 c_Groups_Oplus__class_Oplus( tc_Int_Oint, X, c_Groups_Oone__class_Oone(
% 0.93/1.57 tc_Int_Oint ) ) ) }.
% 0.93/1.57 { ! Y = X, c_Orderings_Oord__class_Oless( tc_Int_Oint, Y,
% 0.93/1.57 c_Groups_Oplus__class_Oplus( tc_Int_Oint, X, c_Groups_Oone__class_Oone(
% 0.93/1.57 tc_Int_Oint ) ) ) }.
% 0.93/1.57 { ! c_Orderings_Oord__class_Oless( tc_Int_Oint, Y,
% 0.93/1.57 c_Groups_Oplus__class_Oplus( tc_Int_Oint, X, c_Groups_Oone__class_Oone(
% 0.93/1.57 tc_Int_Oint ) ) ), c_Orderings_Oord__class_Oless__eq( tc_Int_Oint, Y, X )
% 0.93/1.57 }.
% 0.93/1.57 { ! c_Orderings_Oord__class_Oless__eq( tc_Int_Oint, Y, X ),
% 0.93/1.57 c_Orderings_Oord__class_Oless( tc_Int_Oint, Y,
% 0.93/1.57 c_Groups_Oplus__class_Oplus( tc_Int_Oint, X, c_Groups_Oone__class_Oone(
% 0.93/1.57 tc_Int_Oint ) ) ) }.
% 0.93/1.57 { ! c_Orderings_Oord__class_Oless( tc_Int_Oint, Y, X ),
% 0.93/1.57 c_Orderings_Oord__class_Oless( tc_Int_Oint, c_Groups_Oplus__class_Oplus(
% 0.93/1.57 tc_Int_Oint, Y, Z ), c_Groups_Oplus__class_Oplus( tc_Int_Oint, X, Z ) ) }
% 0.93/1.57 .
% 0.93/1.57 { ! c_Orderings_Oord__class_Oless( tc_Int_Oint, Y, X ), !
% 0.93/1.57 c_Orderings_Oord__class_Oless__eq( tc_Int_Oint, T, Z ),
% 0.93/1.57 c_Orderings_Oord__class_Oless( tc_Int_Oint, c_Groups_Oplus__class_Oplus(
% 0.93/1.57 tc_Int_Oint, Y, T ), c_Groups_Oplus__class_Oplus( tc_Int_Oint, X, Z ) ) }
% 0.93/1.57 .
% 0.93/1.57 { c_Groups_Oplus__class_Oplus( tc_Int_Oint, c_Groups_Oplus__class_Oplus(
% 0.93/1.57 tc_Int_Oint, Z, Y ), X ) = c_Groups_Oplus__class_Oplus( tc_Int_Oint, Z,
% 0.93/1.57 c_Groups_Oplus__class_Oplus( tc_Int_Oint, Y, X ) ) }.
% 0.93/1.57 { c_Groups_Oplus__class_Oplus( tc_Int_Oint, Z, c_Groups_Oplus__class_Oplus
% 0.93/1.57 ( tc_Int_Oint, Y, X ) ) = c_Groups_Oplus__class_Oplus( tc_Int_Oint, Y,
% 0.93/1.57 c_Groups_Oplus__class_Oplus( tc_Int_Oint, Z, X ) ) }.
% 0.93/1.57 { c_Groups_Oplus__class_Oplus( tc_Int_Oint, Y, X ) =
% 0.93/1.57 c_Groups_Oplus__class_Oplus( tc_Int_Oint, X, Y ) }.
% 0.93/1.57 { ! c_Orderings_Oord__class_Oless__eq( tc_Int_Oint, Y, X ),
% 0.93/1.57 c_Orderings_Oord__class_Oless__eq( tc_Int_Oint,
% 0.93/1.57 c_Groups_Oplus__class_Oplus( tc_Int_Oint, Z, Y ),
% 0.93/1.57 c_Groups_Oplus__class_Oplus( tc_Int_Oint, Z, X ) ) }.
% 0.93/1.57 { c_Orderings_Oord__class_Oless( tc_Int_Oint, Y, X ), Y = X,
% 0.93/1.57 c_Orderings_Oord__class_Oless( tc_Int_Oint, X, Y ) }.
% 0.93/1.57 { ! c_Orderings_Oord__class_Oless( tc_Int_Oint, Y, X ),
% 0.93/1.57 c_Orderings_Oord__class_Oless__eq( tc_Int_Oint, Y, X ) }.
% 0.93/1.57 { ! c_Orderings_Oord__class_Oless( tc_Int_Oint, Y, X ), ! Y = X }.
% 0.93/1.57 { ! c_Orderings_Oord__class_Oless__eq( tc_Int_Oint, Y, X ), Y = X,
% 0.93/1.57 c_Orderings_Oord__class_Oless( tc_Int_Oint, Y, X ) }.
% 0.93/1.57 { ! c_Orderings_Oord__class_Oless( tc_Int_Oint, Y, X ),
% 0.93/1.57 c_Orderings_Oord__class_Oless( tc_Int_Oint, c_Groups_Ominus__class_Ominus
% 0.93/1.57 ( tc_Int_Oint, Y, X ), c_Groups_Ozero__class_Ozero( tc_Int_Oint ) ) }.
% 0.93/1.57 { ! c_Orderings_Oord__class_Oless( tc_Int_Oint,
% 0.93/1.57 c_Groups_Ominus__class_Ominus( tc_Int_Oint, Y, X ),
% 0.93/1.57 c_Groups_Ozero__class_Ozero( tc_Int_Oint ) ),
% 0.93/1.57 c_Orderings_Oord__class_Oless( tc_Int_Oint, Y, X ) }.
% 0.93/1.57 { ! c_Orderings_Oord__class_Oless__eq( tc_Int_Oint, Y,
% 0.93/1.57 c_Groups_Ominus__class_Ominus( tc_Int_Oint, X, c_Groups_Oone__class_Oone
% 0.93/1.57 ( tc_Int_Oint ) ) ), c_Orderings_Oord__class_Oless( tc_Int_Oint, Y, X ) }
% 0.93/1.57 .
% 0.93/1.57 { ! c_Orderings_Oord__class_Oless( tc_Int_Oint, Y, X ),
% 0.93/1.57 c_Orderings_Oord__class_Oless__eq( tc_Int_Oint, Y,
% 0.93/1.57 c_Groups_Ominus__class_Ominus( tc_Int_Oint, X, c_Groups_Oone__class_Oone
% 0.93/1.57 ( tc_Int_Oint ) ) ) }.
% 0.93/1.57 { c_Orderings_Oord__class_Oless( tc_Int_Oint, c_Groups_Ozero__class_Ozero(
% 0.93/1.57 tc_Int_Oint ), c_Groups_Oone__class_Oone( tc_Int_Oint ) ) }.
% 0.93/1.57 { ! c_Orderings_Oord__class_Oless__eq( tc_Int_Oint,
% 0.93/1.57 c_Groups_Oone__class_Oone( tc_Int_Oint ), X ),
% 0.93/1.57 c_Orderings_Oord__class_Oless( tc_Int_Oint, c_Groups_Ozero__class_Ozero(
% 0.93/1.57 tc_Int_Oint ), X ) }.
% 0.93/1.57 { ! c_Orderings_Oord__class_Oless( tc_Int_Oint, c_Groups_Ozero__class_Ozero
% 0.93/1.57 ( tc_Int_Oint ), X ), c_Orderings_Oord__class_Oless__eq( tc_Int_Oint,
% 0.93/1.57 c_Groups_Oone__class_Oone( tc_Int_Oint ), X ) }.
% 0.93/1.57 { ! c_Groups_Ozero__class_Ozero( tc_Int_Oint ) = c_Groups_Oone__class_Oone
% 0.93/1.57 ( tc_Int_Oint ) }.
% 0.93/1.57 { ! c_Orderings_Oord__class_Oless( tc_Int_Oint, c_Groups_Ozero__class_Ozero
% 0.93/1.57 ( tc_Int_Oint ), X ), ! X = c_Groups_Oplus__class_Oplus( tc_Int_Oint, Z,
% 0.93/1.57 hAPP( hAPP( c_Groups_Otimes__class_Otimes( tc_Int_Oint ), X ), Y ) ), !
% 0.93/1.57 c_Orderings_Oord__class_Oless__eq( tc_Int_Oint,
% 0.93/1.57 c_Groups_Ozero__class_Ozero( tc_Int_Oint ), Z ),
% 0.93/1.57 c_Orderings_Oord__class_Oless__eq( tc_Int_Oint, Y,
% 0.93/1.57 c_Groups_Oone__class_Oone( tc_Int_Oint ) ) }.
% 0.93/1.57 { ! c_Orderings_Oord__class_Oless( tc_Int_Oint, c_Groups_Ozero__class_Ozero
% 0.93/1.57 ( tc_Int_Oint ), X ), ! X = c_Groups_Oplus__class_Oplus( tc_Int_Oint, Z,
% 0.93/1.57 hAPP( hAPP( c_Groups_Otimes__class_Otimes( tc_Int_Oint ), X ), Y ) ), !
% 0.93/1.57 c_Orderings_Oord__class_Oless( tc_Int_Oint, Z, X ),
% 0.93/1.57 c_Orderings_Oord__class_Oless__eq( tc_Int_Oint, c_Groups_Oone__class_Oone
% 0.93/1.57 ( tc_Int_Oint ), Y ) }.
% 0.93/1.57 { c_Orderings_Oord__class_Oless__eq( tc_Int_Oint, X, X ) }.
% 0.93/1.57 { c_Orderings_Oord__class_Oless__eq( tc_Int_Oint, Y, X ),
% 0.93/1.57 c_Orderings_Oord__class_Oless__eq( tc_Int_Oint, X, Y ) }.
% 0.93/1.57 { ! c_Orderings_Oord__class_Oless__eq( tc_Int_Oint, Y, X ), !
% 0.93/1.57 c_Orderings_Oord__class_Oless__eq( tc_Int_Oint, X, Z ),
% 0.93/1.57 c_Orderings_Oord__class_Oless__eq( tc_Int_Oint, Y, Z ) }.
% 0.93/1.57 { ! c_Orderings_Oord__class_Oless__eq( tc_Int_Oint, Y, X ), !
% 0.93/1.57 c_Orderings_Oord__class_Oless__eq( tc_Int_Oint, X, Y ), Y = X }.
% 0.93/1.57 { ! c_Groups_Oplus__class_Oplus( tc_Int_Oint, hAPP( hAPP(
% 0.93/1.57 c_Groups_Otimes__class_Otimes( tc_Int_Oint ), W ), U ), T ) =
% 0.93/1.57 c_Groups_Oplus__class_Oplus( tc_Int_Oint, hAPP( hAPP(
% 0.93/1.57 c_Groups_Otimes__class_Otimes( tc_Int_Oint ), Z ), Y ), X ), !
% 0.93/1.57 c_Orderings_Oord__class_Oless( tc_Int_Oint, c_Groups_Oplus__class_Oplus(
% 0.93/1.57 tc_Int_Oint, hAPP( hAPP( c_Groups_Otimes__class_Otimes( tc_Int_Oint ), Z
% 0.93/1.57 ), Y ), X ), c_Groups_Ozero__class_Ozero( tc_Int_Oint ) ), !
% 0.93/1.57 c_Orderings_Oord__class_Oless( tc_Int_Oint, T, W ), !
% 0.93/1.57 c_Orderings_Oord__class_Oless__eq( tc_Int_Oint,
% 0.93/1.57 c_Groups_Ozero__class_Ozero( tc_Int_Oint ), X ), !
% 0.93/1.57 c_Orderings_Oord__class_Oless( tc_Int_Oint, c_Groups_Ozero__class_Ozero(
% 0.93/1.57 tc_Int_Oint ), Z ), ! c_Orderings_Oord__class_Oless__eq( tc_Int_Oint, Z,
% 0.93/1.57 W ), c_Orderings_Oord__class_Oless__eq( tc_Int_Oint, Y, U ) }.
% 0.93/1.57 { ! c_Orderings_Oord__class_Oless__eq( tc_Int_Oint,
% 0.93/1.57 c_Groups_Oplus__class_Oplus( tc_Int_Oint, hAPP( hAPP(
% 0.93/1.57 c_Groups_Otimes__class_Otimes( tc_Int_Oint ), U ), T ), Z ),
% 0.93/1.57 c_Groups_Oplus__class_Oplus( tc_Int_Oint, hAPP( hAPP(
% 0.93/1.57 c_Groups_Otimes__class_Otimes( tc_Int_Oint ), U ), Y ), X ) ), !
% 0.93/1.57 c_Orderings_Oord__class_Oless__eq( tc_Int_Oint, X,
% 0.93/1.57 c_Groups_Ozero__class_Ozero( tc_Int_Oint ) ), !
% 0.93/1.57 c_Orderings_Oord__class_Oless( tc_Int_Oint, U, X ), !
% 0.93/1.57 c_Orderings_Oord__class_Oless( tc_Int_Oint, U, Z ),
% 0.93/1.57 c_Orderings_Oord__class_Oless__eq( tc_Int_Oint, Y, T ) }.
% 0.93/1.57 { ! c_Groups_Oplus__class_Oplus( tc_Int_Oint, hAPP( hAPP(
% 0.93/1.57 c_Groups_Otimes__class_Otimes( tc_Int_Oint ), W ), U ), T ) =
% 0.93/1.57 c_Groups_Oplus__class_Oplus( tc_Int_Oint, hAPP( hAPP(
% 0.93/1.57 c_Groups_Otimes__class_Otimes( tc_Int_Oint ), Z ), Y ), X ), !
% 0.93/1.57 c_Orderings_Oord__class_Oless__eq( tc_Int_Oint,
% 0.93/1.57 c_Groups_Ozero__class_Ozero( tc_Int_Oint ), c_Groups_Oplus__class_Oplus(
% 0.93/1.57 tc_Int_Oint, hAPP( hAPP( c_Groups_Otimes__class_Otimes( tc_Int_Oint ), Z
% 0.93/1.57 ), Y ), X ) ), ! c_Orderings_Oord__class_Oless( tc_Int_Oint, X, Z ), !
% 0.93/1.57 c_Orderings_Oord__class_Oless__eq( tc_Int_Oint,
% 0.93/1.57 c_Groups_Ozero__class_Ozero( tc_Int_Oint ), T ), !
% 0.93/1.57 c_Orderings_Oord__class_Oless( tc_Int_Oint, c_Groups_Ozero__class_Ozero(
% 0.93/1.57 tc_Int_Oint ), Z ), ! c_Orderings_Oord__class_Oless__eq( tc_Int_Oint, Z,
% 0.93/1.57 W ), c_Orderings_Oord__class_Oless__eq( tc_Int_Oint, U, Y ) }.
% 0.93/1.57 { ! c_Orderings_Oord__class_Oless__eq( tc_Int_Oint,
% 0.93/1.57 c_Groups_Oplus__class_Oplus( tc_Int_Oint, hAPP( hAPP(
% 0.93/1.57 c_Groups_Otimes__class_Otimes( tc_Int_Oint ), U ), T ), Z ),
% 0.93/1.57 c_Groups_Oplus__class_Oplus( tc_Int_Oint, hAPP( hAPP(
% 0.93/1.57 c_Groups_Otimes__class_Otimes( tc_Int_Oint ), U ), Y ), X ) ), !
% 0.93/1.57 c_Orderings_Oord__class_Oless__eq( tc_Int_Oint,
% 0.93/1.57 c_Groups_Ozero__class_Ozero( tc_Int_Oint ), Z ), !
% 0.93/1.57 c_Orderings_Oord__class_Oless( tc_Int_Oint, Z, U ), !
% 0.93/1.57 c_Orderings_Oord__class_Oless( tc_Int_Oint, X, U ),
% 0.93/1.57 c_Orderings_Oord__class_Oless__eq( tc_Int_Oint, T, Y ) }.
% 0.93/1.57 { ! c_Orderings_Oord__class_Oless( tc_Int_Oint, c_Groups_Oplus__class_Oplus
% 0.93/1.57 ( tc_Int_Oint, hAPP( hAPP( c_Groups_Otimes__class_Otimes( tc_Int_Oint ),
% 0.93/1.57 Z ), Y ), X ), c_Groups_Ozero__class_Ozero( tc_Int_Oint ) ), !
% 0.93/1.57 c_Orderings_Oord__class_Oless__eq( tc_Int_Oint,
% 0.93/1.57 c_Groups_Ozero__class_Ozero( tc_Int_Oint ), X ), !
% 0.93/1.57 c_Orderings_Oord__class_Oless( tc_Int_Oint, c_Groups_Ozero__class_Ozero(
% 0.93/1.57 tc_Int_Oint ), Z ), c_Orderings_Oord__class_Oless__eq( tc_Int_Oint, Y,
% 0.93/1.57 c_Groups_Ozero__class_Ozero( tc_Int_Oint ) ) }.
% 0.93/1.57 { ! c_Orderings_Oord__class_Oless__eq( tc_Int_Oint,
% 0.93/1.57 c_Groups_Ozero__class_Ozero( tc_Int_Oint ), c_Groups_Oplus__class_Oplus(
% 0.93/1.57 tc_Int_Oint, hAPP( hAPP( c_Groups_Otimes__class_Otimes( tc_Int_Oint ), Z
% 0.93/1.57 ), Y ), X ) ), ! c_Orderings_Oord__class_Oless( tc_Int_Oint, X, Z ), !
% 0.93/1.57 c_Orderings_Oord__class_Oless( tc_Int_Oint, c_Groups_Ozero__class_Ozero(
% 0.93/1.57 tc_Int_Oint ), Z ), c_Orderings_Oord__class_Oless__eq( tc_Int_Oint,
% 0.93/1.57 c_Groups_Ozero__class_Ozero( tc_Int_Oint ), Y ) }.
% 0.93/1.57 { ! c_Orderings_Oord__class_Oless__eq( tc_Int_Oint,
% 0.93/1.57 c_Groups_Ozero__class_Ozero( tc_Int_Oint ), X ),
% 0.93/1.57 c_Orderings_Oord__class_Oless__eq( tc_Int_Oint,
% 0.93/1.57 c_Groups_Ozero__class_Ozero( tc_Int_Oint ), hAPP( hAPP(
% 0.93/1.57 c_Power_Opower__class_Opower( tc_Int_Oint ), X ), Y ) ) }.
% 0.93/1.57 { ! c_Orderings_Oord__class_Oless__eq( tc_Int_Oint,
% 0.93/1.57 c_Groups_Ozero__class_Ozero( tc_Int_Oint ), X ), !
% 0.93/1.57 c_Orderings_Oord__class_Oless__eq( tc_Int_Oint,
% 0.93/1.57 c_Groups_Ozero__class_Ozero( tc_Int_Oint ), Y ),
% 0.93/1.57 c_Orderings_Oord__class_Oless__eq( tc_Int_Oint,
% 0.93/1.57 c_Groups_Ozero__class_Ozero( tc_Int_Oint ), hAPP( hAPP(
% 0.93/1.57 c_Groups_Otimes__class_Otimes( tc_Int_Oint ), X ), Y ) ) }.
% 0.93/1.57 { c_Orderings_Oord__class_Oless__eq( tc_Int_Oint,
% 0.93/1.57 c_Groups_Ozero__class_Ozero( tc_Int_Oint ), c_Groups_Ozero__class_Ozero(
% 0.93/1.57 tc_Int_Oint ) ) }.
% 0.93/1.57 { c_Orderings_Oord__class_Oless__eq( tc_Int_Oint,
% 0.93/1.57 c_Groups_Ozero__class_Ozero( tc_Int_Oint ), c_Groups_Oone__class_Oone(
% 0.93/1.57 tc_Int_Oint ) ) }.
% 0.93/1.57 { ! c_Orderings_Oord__class_Oless__eq( tc_Int_Oint,
% 0.93/1.57 c_Groups_Ozero__class_Ozero( tc_Int_Oint ), X ), !
% 0.93/1.57 c_Orderings_Oord__class_Oless__eq( tc_Int_Oint,
% 0.93/1.57 c_Groups_Ozero__class_Ozero( tc_Int_Oint ), Y ),
% 0.93/1.57 c_Orderings_Oord__class_Oless__eq( tc_Int_Oint,
% 0.93/1.57 c_Groups_Ozero__class_Ozero( tc_Int_Oint ), c_Groups_Oplus__class_Oplus(
% 0.93/1.57 tc_Int_Oint, X, Y ) ) }.
% 0.93/1.57 { ! c_Orderings_Oord__class_Oless__eq( tc_Int_Oint, Y, X ),
% 0.93/1.57 c_Nat__Transfer_Otsub( X, Y ) = c_Groups_Ominus__class_Ominus(
% 0.93/1.57 tc_Int_Oint, X, Y ) }.
% 0.93/1.57 { c_Orderings_Oord__class_Oless__eq( tc_Int_Oint, Y, X ),
% 0.93/1.57 c_Nat__Transfer_Otsub( X, Y ) = c_Groups_Ozero__class_Ozero( tc_Int_Oint
% 0.93/1.57 ) }.
% 0.93/1.57 { ! c_Orderings_Oord__class_Oless( tc_RealDef_Oreal,
% 0.93/1.57 c_Groups_Ozero__class_Ozero( tc_RealDef_Oreal ), X ),
% 0.93/1.57 c_Transcendental_Oln( hAPP( hAPP( c_Power_Opower__class_Opower(
% 0.93/1.57 tc_RealDef_Oreal ), X ), Y ) ) = hAPP( hAPP(
% 0.93/1.57 c_Groups_Otimes__class_Otimes( tc_RealDef_Oreal ), c_RealDef_Oreal(
% 0.93/1.57 tc_Nat_Onat, Y ) ), c_Transcendental_Oln( X ) ) }.
% 0.93/1.57 { ! c_Orderings_Oord__class_Oless( tc_RealDef_Oreal,
% 0.93/1.57 c_Groups_Ozero__class_Ozero( tc_RealDef_Oreal ), X ),
% 0.93/1.57 c_Orderings_Oord__class_Oless( tc_RealDef_Oreal, c_Transcendental_Oln( X
% 0.93/1.57 ), X ) }.
% 0.93/1.57 { ! c_Orderings_Oord__class_Oless( tc_RealDef_Oreal,
% 0.93/1.57 c_Groups_Ozero__class_Ozero( tc_RealDef_Oreal ), X ), !
% 0.93/1.57 c_Orderings_Oord__class_Oless( tc_RealDef_Oreal,
% 0.93/1.57 c_Groups_Ozero__class_Ozero( tc_RealDef_Oreal ), Y ), !
% 0.93/1.57 c_Transcendental_Oln( X ) = c_Transcendental_Oln( Y ), X = Y }.
% 0.93/1.57 { ! c_Orderings_Oord__class_Oless( tc_RealDef_Oreal,
% 0.93/1.57 c_Groups_Ozero__class_Ozero( tc_RealDef_Oreal ), X ), !
% 0.93/1.57 c_Orderings_Oord__class_Oless( tc_RealDef_Oreal,
% 0.93/1.57 c_Groups_Ozero__class_Ozero( tc_RealDef_Oreal ), Y ), ! X = Y,
% 0.93/1.57 c_Transcendental_Oln( X ) = c_Transcendental_Oln( Y ) }.
% 0.93/1.57 { ! c_Orderings_Oord__class_Oless( tc_RealDef_Oreal,
% 0.93/1.57 c_Groups_Ozero__class_Ozero( tc_RealDef_Oreal ), X ), !
% 0.93/1.57 c_Orderings_Oord__class_Oless( tc_RealDef_Oreal,
% 0.93/1.57 c_Groups_Ozero__class_Ozero( tc_RealDef_Oreal ), Y ), !
% 0.93/1.57 c_Orderings_Oord__class_Oless( tc_RealDef_Oreal, c_Transcendental_Oln( X
% 0.93/1.57 ), c_Transcendental_Oln( Y ) ), c_Orderings_Oord__class_Oless(
% 0.93/1.57 tc_RealDef_Oreal, X, Y ) }.
% 0.93/1.57 { ! c_Orderings_Oord__class_Oless( tc_RealDef_Oreal,
% 0.93/1.57 c_Groups_Ozero__class_Ozero( tc_RealDef_Oreal ), X ), !
% 0.93/1.57 c_Orderings_Oord__class_Oless( tc_RealDef_Oreal,
% 0.93/1.57 c_Groups_Ozero__class_Ozero( tc_RealDef_Oreal ), Y ), !
% 0.93/1.57 c_Orderings_Oord__class_Oless( tc_RealDef_Oreal, X, Y ),
% 0.93/1.57 c_Orderings_Oord__class_Oless( tc_RealDef_Oreal, c_Transcendental_Oln( X
% 0.93/1.57 ), c_Transcendental_Oln( Y ) ) }.
% 0.93/1.57 { c_Transcendental_Oln( c_Groups_Oone__class_Oone( tc_RealDef_Oreal ) ) =
% 0.93/1.57 c_Groups_Ozero__class_Ozero( tc_RealDef_Oreal ) }.
% 0.93/1.57 { ! c_Orderings_Oord__class_Oless( tc_RealDef_Oreal,
% 0.93/1.57 c_Groups_Ozero__class_Ozero( tc_RealDef_Oreal ), X ), !
% 0.93/1.57 c_Orderings_Oord__class_Oless( tc_RealDef_Oreal,
% 0.93/1.57 c_Groups_Ozero__class_Ozero( tc_RealDef_Oreal ), Y ), !
% 0.93/1.57 c_Orderings_Oord__class_Oless__eq( tc_RealDef_Oreal, c_Transcendental_Oln
% 0.93/1.57 ( X ), c_Transcendental_Oln( Y ) ), c_Orderings_Oord__class_Oless__eq(
% 0.93/1.57 tc_RealDef_Oreal, X, Y ) }.
% 0.93/1.57 { ! c_Orderings_Oord__class_Oless( tc_RealDef_Oreal,
% 0.93/1.57 c_Groups_Ozero__class_Ozero( tc_RealDef_Oreal ), X ), !
% 0.93/1.57 c_Orderings_Oord__class_Oless( tc_RealDef_Oreal,
% 0.93/1.57 c_Groups_Ozero__class_Ozero( tc_RealDef_Oreal ), Y ), !
% 0.93/1.57 c_Orderings_Oord__class_Oless__eq( tc_RealDef_Oreal, X, Y ),
% 0.93/1.57 c_Orderings_Oord__class_Oless__eq( tc_RealDef_Oreal, c_Transcendental_Oln
% 0.93/1.57 ( X ), c_Transcendental_Oln( Y ) ) }.
% 0.93/1.57 { ! c_Orderings_Oord__class_Oless__eq( tc_RealDef_Oreal,
% 0.93/1.57 c_Groups_Oone__class_Oone( tc_RealDef_Oreal ), X ),
% 0.93/1.57 c_Orderings_Oord__class_Oless__eq( tc_RealDef_Oreal,
% 0.93/1.57 c_Groups_Ozero__class_Ozero( tc_RealDef_Oreal ), c_Transcendental_Oln( X
% 0.93/1.57 ) ) }.
% 0.93/1.57 { ! c_Orderings_Oord__class_Oless( tc_RealDef_Oreal,
% 0.93/1.57 c_Groups_Oone__class_Oone( tc_RealDef_Oreal ), X ),
% 0.93/1.57 c_Orderings_Oord__class_Oless( tc_RealDef_Oreal,
% 0.93/1.57 c_Groups_Ozero__class_Ozero( tc_RealDef_Oreal ), c_Transcendental_Oln( X
% 0.93/1.57 ) ) }.
% 0.93/1.57 { ! c_Orderings_Oord__class_Oless( tc_RealDef_Oreal,
% 0.93/1.57 c_Groups_Ozero__class_Ozero( tc_RealDef_Oreal ), X ), !
% 0.93/1.57 c_Orderings_Oord__class_Oless( tc_RealDef_Oreal,
% 0.93/1.57 c_Groups_Ozero__class_Ozero( tc_RealDef_Oreal ), c_Transcendental_Oln( X
% 0.93/1.57 ) ), c_Orderings_Oord__class_Oless( tc_RealDef_Oreal,
% 0.93/1.57 c_Groups_Oone__class_Oone( tc_RealDef_Oreal ), X ) }.
% 0.93/1.57 { ! c_Orderings_Oord__class_Oless( tc_RealDef_Oreal,
% 0.93/1.57 c_Groups_Ozero__class_Ozero( tc_RealDef_Oreal ), X ), !
% 0.93/1.57 c_Orderings_Oord__class_Oless( tc_RealDef_Oreal,
% 0.93/1.57 c_Groups_Oone__class_Oone( tc_RealDef_Oreal ), X ),
% 0.93/1.57 c_Orderings_Oord__class_Oless( tc_RealDef_Oreal,
% 0.93/1.57 c_Groups_Ozero__class_Ozero( tc_RealDef_Oreal ), c_Transcendental_Oln( X
% 0.93/1.57 ) ) }.
% 0.93/1.57 { ! c_Orderings_Oord__class_Oless( tc_RealDef_Oreal,
% 0.93/1.57 c_Groups_Ozero__class_Ozero( tc_RealDef_Oreal ), X ), !
% 0.93/1.57 c_Transcendental_Oln( X ) = c_Groups_Ozero__class_Ozero( tc_RealDef_Oreal
% 0.93/1.57 ), X = c_Groups_Oone__class_Oone( tc_RealDef_Oreal ) }.
% 0.93/1.57 { ! c_Orderings_Oord__class_Oless( tc_RealDef_Oreal,
% 0.93/1.57 c_Groups_Ozero__class_Ozero( tc_RealDef_Oreal ), X ), ! X =
% 0.93/1.57 c_Groups_Oone__class_Oone( tc_RealDef_Oreal ), c_Transcendental_Oln( X )
% 0.93/1.57 = c_Groups_Ozero__class_Ozero( tc_RealDef_Oreal ) }.
% 0.93/1.57 { ! c_Orderings_Oord__class_Oless( tc_RealDef_Oreal,
% 0.93/1.57 c_Groups_Ozero__class_Ozero( tc_RealDef_Oreal ), X ), !
% 0.93/1.57 c_Orderings_Oord__class_Oless( tc_RealDef_Oreal, c_Transcendental_Oln( X
% 0.93/1.57 ), c_Groups_Ozero__class_Ozero( tc_RealDef_Oreal ) ),
% 0.93/1.57 c_Orderings_Oord__class_Oless( tc_RealDef_Oreal, X,
% 0.93/1.57 c_Groups_Oone__class_Oone( tc_RealDef_Oreal ) ) }.
% 0.93/1.57 { ! c_Orderings_Oord__class_Oless( tc_RealDef_Oreal,
% 0.93/1.57 c_Groups_Ozero__class_Ozero( tc_RealDef_Oreal ), X ), !
% 0.93/1.57 c_Orderings_Oord__class_Oless( tc_RealDef_Oreal, X,
% 0.93/1.57 c_Groups_Oone__class_Oone( tc_RealDef_Oreal ) ),
% 0.93/1.57 c_Orderings_Oord__class_Oless( tc_RealDef_Oreal, c_Transcendental_Oln( X
% 0.93/1.57 ), c_Groups_Ozero__class_Ozero( tc_RealDef_Oreal ) ) }.
% 0.93/1.57 { ! c_Orderings_Oord__class_Oless( tc_RealDef_Oreal,
% 0.93/1.57 c_Groups_Ozero__class_Ozero( tc_RealDef_Oreal ), X ), !
% 0.93/1.57 c_Orderings_Oord__class_Oless( tc_RealDef_Oreal, X,
% 0.93/1.57 c_Groups_Oone__class_Oone( tc_RealDef_Oreal ) ),
% 0.93/1.57 c_Orderings_Oord__class_Oless( tc_RealDef_Oreal, c_Transcendental_Oln( X
% 0.93/1.57 ), c_Groups_Ozero__class_Ozero( tc_RealDef_Oreal ) ) }.
% 0.93/1.57 { ! c_Orderings_Oord__class_Oless( tc_RealDef_Oreal,
% 0.93/1.57 c_Groups_Ozero__class_Ozero( tc_RealDef_Oreal ), c_Transcendental_Oln( X
% 0.93/1.57 ) ), ! c_Orderings_Oord__class_Oless( tc_RealDef_Oreal,
% 0.93/1.57 c_Groups_Ozero__class_Ozero( tc_RealDef_Oreal ), X ),
% 0.93/1.57 c_Orderings_Oord__class_Oless( tc_RealDef_Oreal,
% 0.93/1.57 c_Groups_Oone__class_Oone( tc_RealDef_Oreal ), X ) }.
% 0.93/1.57 { ! c_Orderings_Oord__class_Oless__eq( tc_RealDef_Oreal,
% 0.93/1.57 c_Groups_Ozero__class_Ozero( tc_RealDef_Oreal ), c_Transcendental_Oln( X
% 0.93/1.57 ) ), ! c_Orderings_Oord__class_Oless( tc_RealDef_Oreal,
% 0.93/1.57 c_Groups_Ozero__class_Ozero( tc_RealDef_Oreal ), X ),
% 0.93/1.57 c_Orderings_Oord__class_Oless__eq( tc_RealDef_Oreal,
% 0.93/1.57 c_Groups_Oone__class_Oone( tc_RealDef_Oreal ), X ) }.
% 0.93/1.57 { ! c_Orderings_Oord__class_Oless( tc_RealDef_Oreal,
% 0.93/1.57 c_Groups_Ozero__class_Ozero( tc_RealDef_Oreal ), X ), !
% 0.93/1.57 c_Orderings_Oord__class_Oless__eq( tc_RealDef_Oreal,
% 0.93/1.57 c_Groups_Ozero__class_Ozero( tc_RealDef_Oreal ), c_Transcendental_Oln( X
% 0.93/1.57 ) ), c_Orderings_Oord__class_Oless__eq( tc_RealDef_Oreal,
% 0.93/1.57 c_Groups_Oone__class_Oone( tc_RealDef_Oreal ), X ) }.
% 0.93/1.57 { ! c_Orderings_Oord__class_Oless( tc_RealDef_Oreal,
% 0.93/1.57 c_Groups_Ozero__class_Ozero( tc_RealDef_Oreal ), X ), !
% 0.93/1.57 c_Orderings_Oord__class_Oless__eq( tc_RealDef_Oreal,
% 0.93/1.57 c_Groups_Oone__class_Oone( tc_RealDef_Oreal ), X ),
% 0.93/1.57 c_Orderings_Oord__class_Oless__eq( tc_RealDef_Oreal,
% 0.93/1.57 c_Groups_Ozero__class_Ozero( tc_RealDef_Oreal ), c_Transcendental_Oln( X
% 0.93/1.57 ) ) }.
% 0.93/1.57 { ! c_Orderings_Oord__class_Oless( tc_RealDef_Oreal,
% 0.93/1.57 c_Groups_Ozero__class_Ozero( tc_RealDef_Oreal ), X ), !
% 0.93/1.57 c_Orderings_Oord__class_Oless( tc_RealDef_Oreal,
% 0.93/1.57 c_Groups_Ozero__class_Ozero( tc_RealDef_Oreal ), Y ),
% 0.93/1.57 c_Transcendental_Oln( hAPP( hAPP( c_Groups_Otimes__class_Otimes(
% 0.93/1.57 tc_RealDef_Oreal ), X ), Y ) ) = c_Groups_Oplus__class_Oplus(
% 0.93/1.57 tc_RealDef_Oreal, c_Transcendental_Oln( X ), c_Transcendental_Oln( Y ) )
% 0.93/1.57 }.
% 0.93/1.57 { ! c_Orderings_Oord__class_Oless__eq( tc_RealDef_Oreal,
% 0.93/1.57 c_Groups_Ozero__class_Ozero( tc_RealDef_Oreal ), X ),
% 0.93/1.57 c_Orderings_Oord__class_Oless__eq( tc_RealDef_Oreal, c_Transcendental_Oln
% 0.93/1.57 ( c_Groups_Oplus__class_Oplus( tc_RealDef_Oreal,
% 0.93/1.57 c_Groups_Oone__class_Oone( tc_RealDef_Oreal ), X ) ), X ) }.
% 0.93/1.57 { ! c_Orderings_Oord__class_Oless__eq( tc_Int_Oint,
% 0.93/1.57 c_Groups_Ozero__class_Ozero( tc_Int_Oint ), X ), !
% 0.93/1.57 c_Orderings_Oord__class_Oless__eq( tc_Int_Oint,
% 0.93/1.57 c_Groups_Ozero__class_Ozero( tc_Int_Oint ), Y ),
% 0.93/1.57 c_Orderings_Oord__class_Oless__eq( tc_Int_Oint,
% 0.93/1.57 c_Groups_Ozero__class_Ozero( tc_Int_Oint ), c_Nat__Transfer_Otsub( X, Y )
% 0.93/1.57 ) }.
% 0.93/1.57 { ! c_Orderings_Oord__class_Oless__eq( tc_Int_Oint, Y, X ),
% 0.93/1.57 c_Nat__Transfer_Otsub( X, Y ) = c_Groups_Ominus__class_Ominus(
% 0.93/1.57 tc_Int_Oint, X, Y ) }.
% 0.93/1.57 { ! c_Finite__Set_Ofold1Set( U, T, c_Set_Oinsert( U, Z, Y ), X ),
% 0.93/1.57 c_Set_Oinsert( U, Z, Y ) = c_Set_Oinsert( U, skol62( X, Y, Z, T, U ),
% 0.93/1.57 skol74( X, Y, Z, T, U ) ) }.
% 0.93/1.57 { ! c_Finite__Set_Ofold1Set( U, T, c_Set_Oinsert( U, Z, Y ), X ),
% 0.93/1.57 c_Finite__Set_Ofold__graph( U, U, T, skol62( X, Y, Z, T, U ), skol74( X,
% 0.93/1.57 Y, Z, T, U ), X ) }.
% 0.93/1.57 { ! c_Finite__Set_Ofold1Set( U, T, c_Set_Oinsert( U, Z, Y ), X ), !
% 0.93/1.57 c_member( U, skol62( X, Y, Z, T, U ), skol74( X, Y, Z, T, U ) ) }.
% 0.93/1.57 { ! c_Orderings_Oord__class_Oless( tc_RealDef_Oreal,
% 0.93/1.57 c_Groups_Ozero__class_Ozero( tc_RealDef_Oreal ), X ),
% 0.93/1.57 c_Orderings_Oord__class_Oless( tc_RealDef_Oreal, Y, hAPP( hAPP(
% 0.93/1.57 c_Groups_Otimes__class_Otimes( tc_RealDef_Oreal ), c_RealDef_Oreal(
% 0.93/1.57 tc_Nat_Onat, skol63( X, Y ) ) ), X ) ) }.
% 0.93/1.57 { class_Lattices_Obounded__lattice( tc_Limits_Onet( X ) ) }.
% 0.93/1.57 { class_Lattices_Obounded__lattice( tc_HOL_Obool ) }.
% 0.93/1.57 { ! class_Lattices_Obounded__lattice( X ), class_Lattices_Obounded__lattice
% 0.93/1.57 ( tc_fun( Y, X ) ) }.
% 0.93/1.57 { ! class_Complete__Lattice_Ocomplete__lattice( X ),
% 0.93/1.57 class_Complete__Lattice_Ocomplete__lattice( tc_fun( Y, X ) ) }.
% 0.93/1.57 { ! class_Lattices_Obounded__lattice( X ),
% 0.93/1.57 class_Lattices_Obounded__lattice__top( tc_fun( Y, X ) ) }.
% 0.93/1.57 { ! class_Lattices_Obounded__lattice( X ),
% 0.93/1.57 class_Lattices_Obounded__lattice__bot( tc_fun( Y, X ) ) }.
% 0.93/1.57 { ! class_Lattices_Olattice( X ), class_Lattices_Osemilattice__sup( tc_fun
% 0.93/1.57 ( Y, X ) ) }.
% 0.93/1.57 { ! class_Lattices_Olattice( X ), class_Lattices_Osemilattice__inf( tc_fun
% 0.93/1.57 ( Y, X ) ) }.
% 0.93/1.57 { ! class_Lattices_Odistrib__lattice( X ), class_Lattices_Odistrib__lattice
% 0.93/1.57 ( tc_fun( Y, X ) ) }.
% 0.93/1.57 { ! class_Orderings_Opreorder( X ), class_Orderings_Opreorder( tc_fun( Y, X
% 0.93/1.57 ) ) }.
% 0.93/1.57 { ! class_Lattices_Olattice( X ), class_Lattices_Olattice( tc_fun( Y, X ) )
% 0.93/1.57 }.
% 0.93/1.57 { ! class_Orderings_Oorder( X ), class_Orderings_Oorder( tc_fun( Y, X ) ) }
% 0.93/1.57 .
% 0.93/1.57 { ! class_Orderings_Otop( X ), class_Orderings_Otop( tc_fun( Y, X ) ) }.
% 0.93/1.57 { ! class_Orderings_Oord( X ), class_Orderings_Oord( tc_fun( Y, X ) ) }.
% 0.93/1.57 { ! class_Orderings_Obot( X ), class_Orderings_Obot( tc_fun( Y, X ) ) }.
% 0.93/1.57 { ! class_Groups_Ominus( X ), class_Groups_Ominus( tc_fun( Y, X ) ) }.
% 0.93/1.57 { class_Semiring__Normalization_Ocomm__semiring__1__cancel__crossproduct(
% 0.93/1.57 tc_Int_Oint ) }.
% 0.93/1.57 { class_Groups_Oordered__cancel__ab__semigroup__add( tc_Int_Oint ) }.
% 0.93/1.57 { class_Groups_Oordered__ab__semigroup__add__imp__le( tc_Int_Oint ) }.
% 0.93/1.57 { class_Rings_Olinordered__comm__semiring__strict( tc_Int_Oint ) }.
% 0.93/1.57 { class_Rings_Olinordered__semiring__1__strict( tc_Int_Oint ) }.
% 0.93/1.57 { class_Rings_Olinordered__semiring__strict( tc_Int_Oint ) }.
% 0.93/1.57 { class_Groups_Oordered__ab__semigroup__add( tc_Int_Oint ) }.
% 0.93/1.57 { class_Groups_Oordered__comm__monoid__add( tc_Int_Oint ) }.
% 0.93/1.57 { class_Groups_Olinordered__ab__group__add( tc_Int_Oint ) }.
% 0.93/1.57 { class_Groups_Ocancel__ab__semigroup__add( tc_Int_Oint ) }.
% 0.93/1.57 { class_Rings_Oring__1__no__zero__divisors( tc_Int_Oint ) }.
% 0.93/1.57 { class_Rings_Oordered__cancel__semiring( tc_Int_Oint ) }.
% 0.93/1.57 { class_Rings_Olinordered__ring__strict( tc_Int_Oint ) }.
% 0.93/1.57 { class_Rings_Oring__no__zero__divisors( tc_Int_Oint ) }.
% 0.93/1.57 { class_Rings_Oordered__comm__semiring( tc_Int_Oint ) }.
% 0.93/1.57 { class_Rings_Olinordered__semiring__1( tc_Int_Oint ) }.
% 0.93/1.57 { class_Groups_Oordered__ab__group__add( tc_Int_Oint ) }.
% 0.93/1.57 { class_Groups_Ocancel__semigroup__add( tc_Int_Oint ) }.
% 0.93/1.57 { class_Rings_Olinordered__semiring( tc_Int_Oint ) }.
% 0.93/1.57 { class_Rings_Olinordered__semidom( tc_Int_Oint ) }.
% 0.93/1.57 { class_Lattices_Osemilattice__sup( tc_Int_Oint ) }.
% 0.93/1.57 { class_Lattices_Osemilattice__inf( tc_Int_Oint ) }.
% 0.93/1.57 { class_Lattices_Odistrib__lattice( tc_Int_Oint ) }.
% 0.93/1.57 { class_Groups_Oab__semigroup__mult( tc_Int_Oint ) }.
% 0.93/1.57 { class_Groups_Ocomm__monoid__mult( tc_Int_Oint ) }.
% 0.93/1.57 { class_Groups_Oab__semigroup__add( tc_Int_Oint ) }.
% 0.93/1.57 { class_Rings_Oordered__semiring( tc_Int_Oint ) }.
% 0.93/1.57 { class_Rings_Ono__zero__divisors( tc_Int_Oint ) }.
% 0.93/1.57 { class_Groups_Ocomm__monoid__add( tc_Int_Oint ) }.
% 0.93/1.57 { class_Rings_Olinordered__ring( tc_Int_Oint ) }.
% 0.93/1.57 { class_Rings_Olinordered__idom( tc_Int_Oint ) }.
% 0.93/1.57 { class_Rings_Ocomm__semiring__1( tc_Int_Oint ) }.
% 0.93/1.57 { class_Rings_Ocomm__semiring( tc_Int_Oint ) }.
% 0.93/1.57 { class_Groups_Oab__group__add( tc_Int_Oint ) }.
% 0.93/1.57 { class_Rings_Ozero__neq__one( tc_Int_Oint ) }.
% 0.93/1.57 { class_Rings_Oordered__ring( tc_Int_Oint ) }.
% 0.93/1.57 { class_Orderings_Opreorder( tc_Int_Oint ) }.
% 0.93/1.57 { class_Orderings_Olinorder( tc_Int_Oint ) }.
% 0.93/1.57 { class_Groups_Omonoid__mult( tc_Int_Oint ) }.
% 0.93/1.57 { class_Groups_Omonoid__add( tc_Int_Oint ) }.
% 0.93/1.57 { class_Rings_Osemiring__1( tc_Int_Oint ) }.
% 0.93/1.57 { class_Rings_Osemiring__0( tc_Int_Oint ) }.
% 0.93/1.57 { class_Lattices_Olattice( tc_Int_Oint ) }.
% 0.93/1.57 { class_Groups_Ogroup__add( tc_Int_Oint ) }.
% 0.93/1.57 { class_Rings_Omult__zero( tc_Int_Oint ) }.
% 0.93/1.57 { class_Orderings_Oorder( tc_Int_Oint ) }.
% 0.93/1.57 { class_Int_Oring__char__0( tc_Int_Oint ) }.
% 0.93/1.57 { class_Rings_Osemiring( tc_Int_Oint ) }.
% 0.93/1.57 { class_Orderings_Oord( tc_Int_Oint ) }.
% 0.93/1.57 { class_Rings_Oring__1( tc_Int_Oint ) }.
% 0.93/1.57 { class_Groups_Ominus( tc_Int_Oint ) }.
% 0.93/1.57 { class_Power_Opower( tc_Int_Oint ) }.
% 0.93/1.57 { class_Groups_Ozero( tc_Int_Oint ) }.
% 0.93/1.57 { class_Rings_Oring( tc_Int_Oint ) }.
% 0.93/1.57 { class_Groups_Oone( tc_Int_Oint ) }.
% 0.93/1.57 { class_GCD_Ogcd( tc_Int_Oint ) }.
% 0.93/1.57 { class_Semiring__Normalization_Ocomm__semiring__1__cancel__crossproduct(
% 0.93/1.57 tc_Nat_Onat ) }.
% 0.93/1.57 { class_Groups_Oordered__cancel__ab__semigroup__add( tc_Nat_Onat ) }.
% 0.93/1.57 { class_Groups_Oordered__ab__semigroup__add__imp__le( tc_Nat_Onat ) }.
% 0.93/1.57 { class_Rings_Olinordered__comm__semiring__strict( tc_Nat_Onat ) }.
% 0.93/1.57 { class_Rings_Olinordered__semiring__strict( tc_Nat_Onat ) }.
% 0.93/1.57 { class_Groups_Oordered__ab__semigroup__add( tc_Nat_Onat ) }.
% 0.93/1.57 { class_Groups_Oordered__comm__monoid__add( tc_Nat_Onat ) }.
% 0.93/1.57 { class_Groups_Ocancel__ab__semigroup__add( tc_Nat_Onat ) }.
% 0.93/1.57 { class_Rings_Oordered__cancel__semiring( tc_Nat_Onat ) }.
% 0.93/1.57 { class_Rings_Oordered__comm__semiring( tc_Nat_Onat ) }.
% 0.93/1.57 { class_Groups_Ocancel__semigroup__add( tc_Nat_Onat ) }.
% 0.93/1.57 { class_Rings_Olinordered__semiring( tc_Nat_Onat ) }.
% 0.93/1.57 { class_Rings_Olinordered__semidom( tc_Nat_Onat ) }.
% 0.93/1.57 { class_Lattices_Osemilattice__sup( tc_Nat_Onat ) }.
% 0.93/1.57 { class_Lattices_Osemilattice__inf( tc_Nat_Onat ) }.
% 0.93/1.57 { class_Lattices_Odistrib__lattice( tc_Nat_Onat ) }.
% 0.93/1.57 { class_Groups_Oab__semigroup__mult( tc_Nat_Onat ) }.
% 0.93/1.57 { class_Groups_Ocomm__monoid__mult( tc_Nat_Onat ) }.
% 0.93/1.57 { class_Groups_Oab__semigroup__add( tc_Nat_Onat ) }.
% 0.93/1.57 { class_Rings_Oordered__semiring( tc_Nat_Onat ) }.
% 0.93/1.57 { class_Rings_Ono__zero__divisors( tc_Nat_Onat ) }.
% 0.93/1.57 { class_Groups_Ocomm__monoid__add( tc_Nat_Onat ) }.
% 0.93/1.57 { class_Rings_Ocomm__semiring__1( tc_Nat_Onat ) }.
% 0.93/1.57 { class_Rings_Ocomm__semiring( tc_Nat_Onat ) }.
% 0.93/1.57 { class_Rings_Ozero__neq__one( tc_Nat_Onat ) }.
% 0.93/1.57 { class_Orderings_Opreorder( tc_Nat_Onat ) }.
% 0.93/1.57 { class_Orderings_Olinorder( tc_Nat_Onat ) }.
% 0.93/1.57 { class_Groups_Omonoid__mult( tc_Nat_Onat ) }.
% 0.93/1.57 { class_Groups_Omonoid__add( tc_Nat_Onat ) }.
% 0.93/1.57 { class_Rings_Osemiring__1( tc_Nat_Onat ) }.
% 0.93/1.57 { class_Rings_Osemiring__0( tc_Nat_Onat ) }.
% 0.93/1.57 { class_Lattices_Olattice( tc_Nat_Onat ) }.
% 0.93/1.57 { class_Rings_Omult__zero( tc_Nat_Onat ) }.
% 0.93/1.57 { class_Orderings_Oorder( tc_Nat_Onat ) }.
% 0.93/1.57 { class_Rings_Osemiring( tc_Nat_Onat ) }.
% 0.93/1.57 { class_Orderings_Oord( tc_Nat_Onat ) }.
% 0.93/1.57 { class_Orderings_Obot( tc_Nat_Onat ) }.
% 0.93/1.57 { class_Groups_Ominus( tc_Nat_Onat ) }.
% 0.93/1.57 { class_Power_Opower( tc_Nat_Onat ) }.
% 0.93/1.57 { class_Groups_Ozero( tc_Nat_Onat ) }.
% 0.93/1.57 { class_Groups_Oone( tc_Nat_Onat ) }.
% 0.93/1.57 { class_GCD_Ogcd( tc_Nat_Onat ) }.
% 0.93/1.57 { class_Complete__Lattice_Ocomplete__lattice( tc_HOL_Obool ) }.
% 0.93/1.57 { class_Lattices_Obounded__lattice__top( tc_HOL_Obool ) }.
% 0.93/1.57 { class_Lattices_Obounded__lattice__bot( tc_HOL_Obool ) }.
% 0.93/1.57 { class_Lattices_Osemilattice__sup( tc_HOL_Obool ) }.
% 0.93/1.57 { class_Lattices_Osemilattice__inf( tc_HOL_Obool ) }.
% 0.93/1.57 { class_Lattices_Odistrib__lattice( tc_HOL_Obool ) }.
% 0.93/1.57 { class_Orderings_Opreorder( tc_HOL_Obool ) }.
% 0.93/1.57 { class_Lattices_Olattice( tc_HOL_Obool ) }.
% 0.93/1.57 { class_Orderings_Oorder( tc_HOL_Obool ) }.
% 0.93/1.57 { class_Orderings_Otop( tc_HOL_Obool ) }.
% 0.93/1.57 { class_Orderings_Oord( tc_HOL_Obool ) }.
% 0.93/1.57 { class_Orderings_Obot( tc_HOL_Obool ) }.
% 0.93/1.57 { class_Groups_Ominus( tc_HOL_Obool ) }.
% 0.93/1.57 { class_Complete__Lattice_Ocomplete__lattice( tc_Limits_Onet( X ) ) }.
% 0.93/1.57 { class_Lattices_Obounded__lattice__top( tc_Limits_Onet( X ) ) }.
% 0.93/1.57 { class_Lattices_Obounded__lattice__bot( tc_Limits_Onet( X ) ) }.
% 0.93/1.57 { class_Lattices_Osemilattice__sup( tc_Limits_Onet( X ) ) }.
% 0.93/1.57 { class_Lattices_Osemilattice__inf( tc_Limits_Onet( X ) ) }.
% 0.93/1.57 { class_Orderings_Opreorder( tc_Limits_Onet( X ) ) }.
% 0.93/1.57 { class_Lattices_Olattice( tc_Limits_Onet( X ) ) }.
% 0.93/1.57 { class_Orderings_Oorder( tc_Limits_Onet( X ) ) }.
% 0.93/1.57 { class_Orderings_Otop( tc_Limits_Onet( X ) ) }.
% 0.93/1.57 { class_Orderings_Oord( tc_Limits_Onet( X ) ) }.
% 0.93/1.57 { class_Orderings_Obot( tc_Limits_Onet( X ) ) }.
% 0.93/1.57 { class_Semiring__Normalization_Ocomm__semiring__1__cancel__crossproduct(
% 0.93/1.57 tc_RealDef_Oreal ) }.
% 0.93/1.57 { class_Groups_Oordered__cancel__ab__semigroup__add( tc_RealDef_Oreal ) }.
% 0.93/1.57 { class_Groups_Oordered__ab__semigroup__add__imp__le( tc_RealDef_Oreal ) }
% 0.93/1.57 .
% 0.93/1.57 { class_Rings_Olinordered__comm__semiring__strict( tc_RealDef_Oreal ) }.
% 0.93/1.57 { class_Rings_Olinordered__semiring__1__strict( tc_RealDef_Oreal ) }.
% 0.93/1.57 { class_Rings_Olinordered__semiring__strict( tc_RealDef_Oreal ) }.
% 0.93/1.57 { class_Groups_Oordered__ab__semigroup__add( tc_RealDef_Oreal ) }.
% 0.93/1.57 { class_RealVector_Oreal__normed__algebra( tc_RealDef_Oreal ) }.
% 0.93/1.57 { class_Groups_Oordered__comm__monoid__add( tc_RealDef_Oreal ) }.
% 0.93/1.57 { class_Groups_Olinordered__ab__group__add( tc_RealDef_Oreal ) }.
% 0.93/1.57 { class_Groups_Ocancel__ab__semigroup__add( tc_RealDef_Oreal ) }.
% 0.93/1.57 { class_Rings_Oring__1__no__zero__divisors( tc_RealDef_Oreal ) }.
% 0.93/1.57 { class_Rings_Oordered__cancel__semiring( tc_RealDef_Oreal ) }.
% 0.93/1.57 { class_Rings_Olinordered__ring__strict( tc_RealDef_Oreal ) }.
% 0.93/1.57 { class_Rings_Oring__no__zero__divisors( tc_RealDef_Oreal ) }.
% 0.93/1.57 { class_Rings_Oordered__comm__semiring( tc_RealDef_Oreal ) }.
% 0.93/1.57 { class_Rings_Olinordered__semiring__1( tc_RealDef_Oreal ) }.
% 0.93/1.57 { class_Groups_Oordered__ab__group__add( tc_RealDef_Oreal ) }.
% 0.93/1.57 { class_Groups_Ocancel__semigroup__add( tc_RealDef_Oreal ) }.
% 0.93/1.57 { class_Rings_Olinordered__semiring( tc_RealDef_Oreal ) }.
% 0.93/1.57 { class_Rings_Olinordered__semidom( tc_RealDef_Oreal ) }.
% 0.93/1.57 { class_Lattices_Osemilattice__sup( tc_RealDef_Oreal ) }.
% 0.93/1.57 { class_Lattices_Osemilattice__inf( tc_RealDef_Oreal ) }.
% 0.93/1.57 { class_Lattices_Odistrib__lattice( tc_RealDef_Oreal ) }.
% 0.93/1.57 { class_Groups_Oab__semigroup__mult( tc_RealDef_Oreal ) }.
% 0.93/1.57 { class_Groups_Ocomm__monoid__mult( tc_RealDef_Oreal ) }.
% 0.93/1.57 { class_Groups_Oab__semigroup__add( tc_RealDef_Oreal ) }.
% 0.93/1.57 { class_Rings_Oordered__semiring( tc_RealDef_Oreal ) }.
% 0.93/1.57 { class_Rings_Ono__zero__divisors( tc_RealDef_Oreal ) }.
% 0.93/1.57 { class_Groups_Ocomm__monoid__add( tc_RealDef_Oreal ) }.
% 0.93/1.57 { class_Rings_Olinordered__ring( tc_RealDef_Oreal ) }.
% 0.93/1.57 { class_Rings_Olinordered__idom( tc_RealDef_Oreal ) }.
% 0.93/1.57 { class_Rings_Ocomm__semiring__1( tc_RealDef_Oreal ) }.
% 0.93/1.57 { class_Rings_Ocomm__semiring( tc_RealDef_Oreal ) }.
% 0.93/1.57 { class_Groups_Oab__group__add( tc_RealDef_Oreal ) }.
% 0.93/1.57 { class_Rings_Ozero__neq__one( tc_RealDef_Oreal ) }.
% 0.93/1.57 { class_Rings_Oordered__ring( tc_RealDef_Oreal ) }.
% 0.93/1.57 { class_Orderings_Opreorder( tc_RealDef_Oreal ) }.
% 0.93/1.57 { class_Orderings_Olinorder( tc_RealDef_Oreal ) }.
% 0.93/1.57 { class_Groups_Omonoid__mult( tc_RealDef_Oreal ) }.
% 0.93/1.57 { class_Groups_Omonoid__add( tc_RealDef_Oreal ) }.
% 0.93/1.57 { class_Rings_Osemiring__1( tc_RealDef_Oreal ) }.
% 0.93/1.57 { class_Rings_Osemiring__0( tc_RealDef_Oreal ) }.
% 0.93/1.57 { class_Lattices_Olattice( tc_RealDef_Oreal ) }.
% 0.93/1.57 { class_Groups_Ogroup__add( tc_RealDef_Oreal ) }.
% 0.93/1.57 { class_Rings_Omult__zero( tc_RealDef_Oreal ) }.
% 0.93/1.57 { class_Orderings_Oorder( tc_RealDef_Oreal ) }.
% 0.93/1.57 { class_Int_Oring__char__0( tc_RealDef_Oreal ) }.
% 0.93/1.57 { class_Rings_Osemiring( tc_RealDef_Oreal ) }.
% 0.93/1.57 { class_Orderings_Oord( tc_RealDef_Oreal ) }.
% 0.93/1.57 { class_Rings_Oring__1( tc_RealDef_Oreal ) }.
% 0.93/1.57 { class_Groups_Ominus( tc_RealDef_Oreal ) }.
% 0.93/1.57 { class_Power_Opower( tc_RealDef_Oreal ) }.
% 0.93/1.57 { class_Groups_Ozero( tc_RealDef_Oreal ) }.
% 0.93/1.57 { class_Rings_Oring( tc_RealDef_Oreal ) }.
% 0.93/1.57 { class_Groups_Oone( tc_RealDef_Oreal ) }.
% 0.93/1.57 { ! hBOOL( hAPP( c_fequal( Y ), X ) ), Y = X }.
% 0.93/1.57 { ! Y = X, hBOOL( hAPP( c_fequal( Y ), X ) ) }.
% 0.93/1.57 { ! hBOOL( hAPP( c_Lubs_OisUb( tc_RealDef_Oreal,
% 0.93/1.57 c_Orderings_Otop__class_Otop( tc_fun( tc_RealDef_Oreal, tc_HOL_Obool ) )
% 0.93/1.57 , c_Set_OCollect( tc_RealDef_Oreal, v_P ) ), X ) ) }.
% 0.93/1.57
% 0.93/1.57 *** allocated 15000 integers for clauses
% 0.93/1.57 *** allocated 22500 integers for clauses
% 0.93/1.57 *** allocated 33750 integers for clauses
% 0.93/1.57 *** allocated 50625 integers for clauses
% 0.93/1.57 *** allocated 75937 integers for clauses
% 0.93/1.57 percentage equality = 0.222087, percentage horn = 0.909474
% 0.93/1.57 This is a problem with some equality
% 0.93/1.57
% 0.93/1.57
% 0.93/1.57
% 0.93/1.57 Options Used:
% 0.93/1.57
% 0.93/1.57 useres = 1
% 0.93/1.57 useparamod = 1
% 0.93/1.57 useeqrefl = 1
% 0.93/1.57 useeqfact = 1
% 0.93/1.57 usefactor = 1
% 0.93/1.57 usesimpsplitting = 0
% 0.93/1.57 usesimpdemod = 5
% 0.93/1.57 usesimpres = 3
% 0.93/1.57
% 0.93/1.57 resimpinuse = 1000
% 0.93/1.57 resimpclauses = 20000
% 0.93/1.57 substype = eqrewr
% 0.93/1.57 backwardsubs = 1
% 0.93/1.57 selectoldest = 5
% 0.93/1.57
% 0.93/1.57 litorderings [0] = split
% 0.93/1.57 litorderings [1] = extend the termordering, first sorting on arguments
% 0.93/1.57
% 0.93/1.57 termordering = kbo
% 0.93/1.57
% 0.93/1.57 litapriori = 0
% 0.93/1.57 termapriori = 1
% 0.93/1.57 litaposteriori = 0
% 0.93/1.57 termaposteriori = 0
% 0.93/1.57 demodaposteriori = 0
% 0.93/1.57 ordereqreflfact = 0
% 0.93/1.57
% 0.93/1.57 litselect = negord
% 0.93/1.57
% 0.93/1.57 maxweight = 15
% 0.93/1.57 maxdepth = 30000
% 0.93/1.57 maxlength = 115
% 0.93/1.57 maxnrvars = 195
% 0.93/1.57 excuselevel = 1
% 0.93/1.57 increasemaxweight = 1
% 0.93/1.57
% 0.93/1.57 maxselected = 10000000
% 0.93/1.57 maxnrclauses = 10000000
% 0.93/1.57
% 0.93/1.57 showgenerated = 0
% 0.93/1.57 showkept = 0
% 0.93/1.57 showselected = 0
% 0.93/1.57 showdeleted = 0
% 0.93/1.57 showresimp = 1
% 0.93/1.57 showstatus = 2000
% 0.93/1.57
% 0.93/1.57 prologoutput = 0
% 0.93/1.57 nrgoals = 5000000
% 0.93/1.57 totalproof = 1
% 0.93/1.57
% 0.93/1.57 Symbols occurring in the translation:
% 0.93/1.57
% 0.93/1.57 {} [0, 0] (w:1, o:2, a:1, s:1, b:0),
% 0.93/1.57 . [1, 2] (w:1, o:204, a:1, s:1, b:0),
% 0.93/1.57 ! [4, 1] (w:0, o:113, a:1, s:1, b:0),
% 0.93/1.57 = [13, 2] (w:1, o:0, a:0, s:1, b:0),
% 0.93/1.57 ==> [14, 2] (w:1, o:0, a:0, s:1, b:0),
% 0.93/1.57 hAPP [38, 2] (w:1, o:228, a:1, s:1, b:0),
% 0.93/1.57 v_P [39, 0] (w:1, o:11, a:1, s:1, b:0),
% 0.93/1.57 v_x____ [40, 0] (w:1, o:12, a:1, s:1, b:0),
% 0.93/1.57 hBOOL [41, 1] (w:1, o:118, a:1, s:1, b:0),
% 0.93/1.57 tc_RealDef_Oreal [44, 0] (w:1, o:22, a:1, s:1, b:0),
% 0.93/1.57 c_Orderings_Oord__class_Oless [45, 3] (w:1, o:268, a:1, s:1, b:0),
% 0.93/1.57 tc_HOL_Obool [48, 0] (w:1, o:29, a:1, s:1, b:0),
% 0.93/1.57 tc_fun [49, 2] (w:1, o:252, a:1, s:1, b:0),
% 0.93/1.57 c_Orderings_Otop__class_Otop [50, 1] (w:1, o:120, a:1, s:1, b:0),
% 0.93/1.57 class_Orderings_Otop [52, 1] (w:1, o:121, a:1, s:1, b:0),
% 0.93/1.57 v_Y____ [54, 0] (w:1, o:32, a:1, s:1, b:0),
% 0.93/1.57 class_Orderings_Oord [57, 1] (w:1, o:122, a:1, s:1, b:0),
% 0.93/1.57 c_Lubs_Oubs [58, 3] (w:1, o:269, a:1, s:1, b:0),
% 0.93/1.57 c_Lubs_OisUb [59, 3] (w:1, o:270, a:1, s:1, b:0),
% 0.93/1.57 c_Set_OCollect [60, 2] (w:1, o:254, a:1, s:1, b:0),
% 0.93/1.57 c_member [62, 3] (w:1, o:271, a:1, s:1, b:0),
% 0.93/1.57 class_Complete__Lattice_Ocomplete__lattice [63, 1] (w:1, o:123, a:1
% 0.93/1.57 , s:1, b:0),
% 0.93/1.57 c_Complete__Lattice_OSup__class_OSup [64, 2] (w:1, o:255, a:1, s:1
% 0.93/1.57 , b:0),
% 0.93/1.57 c_Lubs_Osetge [65, 3] (w:1, o:272, a:1, s:1, b:0),
% 0.93/1.57 c_Lubs_OisLub [66, 4] (w:1, o:326, a:1, s:1, b:0),
% 0.93/1.57 c_Lubs_Osetle [67, 3] (w:1, o:273, a:1, s:1, b:0),
% 0.93/1.57 c_Limits_Owithin [69, 3] (w:1, o:274, a:1, s:1, b:0),
% 0.93/1.57 class_Orderings_Opreorder [75, 1] (w:1, o:125, a:1, s:1, b:0),
% 0.93/1.57 class_Orderings_Olinorder [77, 1] (w:1, o:126, a:1, s:1, b:0),
% 0.93/1.57 c_fequal [79, 1] (w:1, o:127, a:1, s:1, b:0),
% 0.93/1.57 class_Orderings_Oorder [81, 1] (w:1, o:124, a:1, s:1, b:0),
% 0.93/1.57 c_Lubs_OleastP [87, 3] (w:1, o:275, a:1, s:1, b:0),
% 0.93/1.57 class_Rings_Olinordered__idom [89, 1] (w:1, o:128, a:1, s:1, b:0),
% 0.93/1.57 c_Orderings_Oord__class_Oless__eq [91, 3] (w:1, o:276, a:1, s:1, b:0)
% 0.93/1.57 ,
% 0.93/1.57 c_Set_OPow [95, 2] (w:1, o:256, a:1, s:1, b:0),
% 0.93/1.57 c_Complete__Lattice_OInf__class_OInf [96, 2] (w:1, o:257, a:1, s:1
% 0.93/1.57 , b:0),
% 0.93/1.57 c_Predicate_OPowp [102, 2] (w:1, o:258, a:1, s:1, b:0),
% 0.93/1.57 c_SEQ_Odecseq [103, 2] (w:1, o:259, a:1, s:1, b:0),
% 0.93/1.57 tc_Nat_Onat [106, 0] (w:1, o:81, a:1, s:1, b:0),
% 0.93/1.57 c_Orderings_Obot__class_Obot [107, 1] (w:1, o:129, a:1, s:1, b:0),
% 0.93/1.57 c_SEQ_Oincseq [108, 2] (w:1, o:260, a:1, s:1, b:0),
% 0.93/1.57 c_Complete__Lattice_Ocomplete__lattice__class_OSUPR [109, 4] (w:1, o:
% 0.93/1.57 327, a:1, s:1, b:0),
% 0.93/1.57 c_Complete__Lattice_Ocomplete__lattice__class_OINFI [110, 4] (w:1, o:
% 0.93/1.57 328, a:1, s:1, b:0),
% 0.93/1.57 class_Orderings_Obot [111, 1] (w:1, o:130, a:1, s:1, b:0),
% 0.93/1.57 c_SEQ_Omonoseq [112, 2] (w:1, o:261, a:1, s:1, b:0),
% 0.93/1.57 c_Set_Oinsert [119, 3] (w:1, o:277, a:1, s:1, b:0),
% 0.93/1.57 c_RComplete_Onatceiling [120, 1] (w:1, o:131, a:1, s:1, b:0),
% 0.93/1.57 c_Set_Othe__elem [127, 2] (w:1, o:262, a:1, s:1, b:0),
% 0.93/1.57 c_Groups_Ominus__class_Ominus [128, 3] (w:1, o:278, a:1, s:1, b:0),
% 0.93/1.57 c_Lattices_Osemilattice__inf__class_Oinf [129, 3] (w:1, o:279, a:1
% 0.93/1.57 , s:1, b:0),
% 0.93/1.57 c_Lattices_Osemilattice__sup__class_Osup [130, 3] (w:1, o:280, a:1
% 0.93/1.57 , s:1, b:0),
% 0.93/1.57 c_RealDef_Oreal [131, 2] (w:1, o:253, a:1, s:1, b:0),
% 0.93/1.57 class_Lattices_Olattice [133, 1] (w:1, o:132, a:1, s:1, b:0),
% 0.93/1.57 class_Lattices_Obounded__lattice__top [134, 1] (w:1, o:134, a:1, s:1
% 0.93/1.57 , b:0),
% 0.93/1.57 class_Lattices_Osemilattice__sup [135, 1] (w:1, o:135, a:1, s:1, b:0)
% 0.93/1.57 ,
% 0.93/1.57 class_Lattices_Osemilattice__inf [136, 1] (w:1, o:136, a:1, s:1, b:0)
% 0.93/1.57 ,
% 0.93/1.57 class_Lattices_Obounded__lattice__bot [138, 1] (w:1, o:137, a:1, s:1
% 0.93/1.57 , b:0),
% 0.93/1.57 class_Lattices_Odistrib__lattice [139, 1] (w:1, o:138, a:1, s:1, b:0)
% 0.93/1.57 ,
% 0.93/1.57 class_Groups_Ominus [140, 1] (w:1, o:140, a:1, s:1, b:0),
% 0.93/1.57 class_Groups_Oordered__ab__group__add [141, 1] (w:1, o:141, a:1, s:1
% 0.93/1.57 , b:0),
% 0.93/1.57 c_Nitpick_Ofold__graph_H [142, 6] (w:1, o:356, a:1, s:1, b:0),
% 0.93/1.57 c_Groups_Ozero__class_Ozero [143, 1] (w:1, o:142, a:1, s:1, b:0),
% 0.93/1.57 class_Groups_Ozero [148, 1] (w:1, o:143, a:1, s:1, b:0),
% 0.93/1.57 class_Groups_Ogroup__add [149, 1] (w:1, o:144, a:1, s:1, b:0),
% 0.93/1.57 class_Groups_Oab__group__add [150, 1] (w:1, o:145, a:1, s:1, b:0),
% 0.93/1.57 c_RComplete_Onatfloor [154, 1] (w:1, o:146, a:1, s:1, b:0),
% 0.93/1.57 c_Finite__Set_Ofold__graph [156, 6] (w:1, o:357, a:1, s:1, b:0),
% 0.93/1.57 c_Groups_Oone__class_Oone [157, 1] (w:1, o:147, a:1, s:1, b:0),
% 0.93/1.57 c_Nat_Osemiring__1__class_ONats [158, 1] (w:1, o:119, a:1, s:1, b:0)
% 0.93/1.57 ,
% 0.93/1.57 class_GCD_Ogcd [159, 1] (w:1, o:148, a:1, s:1, b:0),
% 0.93/1.57 c_GCD_Ogcd__class_OGcd [160, 2] (w:1, o:263, a:1, s:1, b:0),
% 0.93/1.57 class_Rings_Ozero__neq__one [161, 1] (w:1, o:149, a:1, s:1, b:0),
% 0.93/1.57 class_Rings_Osemiring__1 [162, 1] (w:1, o:155, a:1, s:1, b:0),
% 0.93/1.57 class_Groups_Oone [163, 1] (w:1, o:156, a:1, s:1, b:0),
% 0.93/1.57 class_Rings_Olinordered__semidom [164, 1] (w:1, o:159, a:1, s:1, b:0)
% 0.93/1.57 ,
% 0.93/1.57 c_GCD_Ogcd__class_OLcm [165, 2] (w:1, o:264, a:1, s:1, b:0),
% 0.93/1.57 c_Finite__Set_Ofold1Set [166, 4] (w:1, o:329, a:1, s:1, b:0),
% 0.93/1.57 c_Groups_Oplus__class_Oplus [167, 3] (w:1, o:281, a:1, s:1, b:0),
% 0.93/1.57 class_Groups_Oab__semigroup__mult [168, 1] (w:1, o:160, a:1, s:1, b:0
% 0.93/1.57 ),
% 0.93/1.57 c_Groups_Otimes__class_Otimes [169, 1] (w:1, o:161, a:1, s:1, b:0),
% 0.93/1.57 class_Rings_Olinordered__semiring__1 [172, 1] (w:1, o:162, a:1, s:1
% 0.93/1.57 , b:0),
% 0.93/1.57 class_Rings_Ono__zero__divisors [173, 1] (w:1, o:168, a:1, s:1, b:0)
% 0.93/1.57 ,
% 0.93/1.57 class_Rings_Oring__no__zero__divisors [174, 1] (w:1, o:150, a:1, s:1
% 0.93/1.57 , b:0),
% 0.93/1.57 class_Rings_Omult__zero [175, 1] (w:1, o:167, a:1, s:1, b:0),
% 0.93/1.57 class_Groups_Omonoid__add [176, 1] (w:1, o:169, a:1, s:1, b:0),
% 0.93/1.57 class_Groups_Ocomm__monoid__add [177, 1] (w:1, o:170, a:1, s:1, b:0)
% 0.93/1.57 ,
% 0.93/1.57 class_Groups_Olinordered__ab__group__add [178, 1] (w:1, o:139, a:1
% 0.93/1.57 , s:1, b:0),
% 0.93/1.57 class_Rings_Oring__1 [179, 1] (w:1, o:151, a:1, s:1, b:0),
% 0.93/1.57 class_Groups_Ocomm__monoid__mult [180, 1] (w:1, o:171, a:1, s:1, b:0)
% 0.93/1.57 ,
% 0.93/1.57 class_Groups_Omonoid__mult [181, 1] (w:1, o:172, a:1, s:1, b:0),
% 0.93/1.57 class_Groups_Oordered__ab__semigroup__add__imp__le [182, 1] (w:1, o:
% 0.93/1.57 173, a:1, s:1, b:0),
% 0.93/1.57 class_Groups_Oordered__ab__semigroup__add [183, 1] (w:1, o:174, a:1
% 0.93/1.57 , s:1, b:0),
% 0.93/1.57 class_Groups_Oab__semigroup__add [184, 1] (w:1, o:175, a:1, s:1, b:0)
% 0.93/1.57 ,
% 0.93/1.57 class_Groups_Ocancel__semigroup__add [185, 1] (w:1, o:176, a:1, s:1
% 0.93/1.57 , b:0),
% 0.93/1.57 class_Groups_Ocancel__ab__semigroup__add [186, 1] (w:1, o:177, a:1
% 0.93/1.57 , s:1, b:0),
% 0.93/1.57 class_Groups_Oordered__cancel__ab__semigroup__add [187, 1] (w:1, o:
% 0.93/1.57 178, a:1, s:1, b:0),
% 0.93/1.57 class_Rings_Ocomm__semiring [190, 1] (w:1, o:179, a:1, s:1, b:0),
% 0.93/1.57 class_Rings_Osemiring [192, 1] (w:1, o:180, a:1, s:1, b:0),
% 0.93/1.57 class_Lattices_Oab__semigroup__idem__mult [193, 1] (w:1, o:133, a:1
% 0.93/1.57 , s:1, b:0),
% 0.93/1.57 class_Rings_Oring [195, 1] (w:1, o:152, a:1, s:1, b:0),
% 0.93/1.57 class_Rings_Oordered__ring [196, 1] (w:1, o:181, a:1, s:1, b:0),
% 0.93/1.57 class_Rings_Olinordered__semiring__1__strict [197, 1] (w:1, o:163, a:
% 0.93/1.57 1, s:1, b:0),
% 0.93/1.57 class_Groups_Oordered__comm__monoid__add [198, 1] (w:1, o:182, a:1
% 0.93/1.57 , s:1, b:0),
% 0.93/1.57 class_Rings_Oordered__cancel__semiring [199, 1] (w:1, o:183, a:1, s:1
% 0.93/1.57 , b:0),
% 0.93/1.57 class_Rings_Oordered__semiring [200, 1] (w:1, o:184, a:1, s:1, b:0),
% 0.93/1.57
% 0.93/1.57 class_Rings_Oordered__comm__semiring [201, 1] (w:1, o:185, a:1, s:1
% 0.93/1.57 , b:0),
% 0.93/1.57 class_Rings_Olinordered__ring__strict [202, 1] (w:1, o:157, a:1, s:1
% 0.93/1.57 , b:0),
% 0.93/1.57 class_Rings_Olinordered__ring [203, 1] (w:1, o:158, a:1, s:1, b:0),
% 0.93/1.57 class_Rings_Olinordered__comm__semiring__strict [204, 1] (w:1, o:164
% 0.93/1.57 , a:1, s:1, b:0),
% 0.93/1.57 class_Rings_Olinordered__semiring__strict [205, 1] (w:1, o:165, a:1
% 1.57/1.95 , s:1, b:0),
% 1.57/1.95 class_Rings_Olinordered__semiring [206, 1] (w:1, o:166, a:1, s:1, b:0
% 1.57/1.95 ),
% 1.57/1.95 class_Rings_Ocomm__semiring__1 [210, 1] (w:1, o:186, a:1, s:1, b:0),
% 1.57/1.95
% 1.57/1.95 class_Semiring__Normalization_Ocomm__semiring__1__cancel__crossproduct [
% 1.57/1.95 215, 1] (w:1, o:188, a:1, s:1, b:0),
% 1.57/1.95 class_RealVector_Oreal__normed__algebra [218, 1] (w:1, o:187, a:1, s:
% 1.57/1.95 1, b:0),
% 1.57/1.95 c_Int_Oring__1__class_OInts [224, 1] (w:1, o:189, a:1, s:1, b:0),
% 1.57/1.95 class_Int_Oring__char__0 [225, 1] (w:1, o:190, a:1, s:1, b:0),
% 1.57/1.95 c_Power_Opower__class_Opower [226, 1] (w:1, o:191, a:1, s:1, b:0),
% 1.57/1.95 class_Power_Opower [231, 1] (w:1, o:192, a:1, s:1, b:0),
% 1.57/1.95 tc_Int_Oint [232, 0] (w:1, o:107, a:1, s:1, b:0),
% 1.57/1.95 class_Rings_Oring__1__no__zero__divisors [233, 1] (w:1, o:153, a:1
% 1.57/1.95 , s:1, b:0),
% 1.57/1.95 class_Rings_Osemiring__0 [234, 1] (w:1, o:154, a:1, s:1, b:0),
% 1.57/1.95 c_Power_Opower_Opower [236, 3] (w:1, o:282, a:1, s:1, b:0),
% 1.57/1.95 c_Nat__Transfer_Otsub [244, 2] (w:1, o:265, a:1, s:1, b:0),
% 1.57/1.95 c_Transcendental_Oln [245, 1] (w:1, o:193, a:1, s:1, b:0),
% 1.57/1.95 tc_Limits_Onet [247, 1] (w:1, o:202, a:1, s:1, b:0),
% 1.57/1.95 class_Lattices_Obounded__lattice [248, 1] (w:1, o:203, a:1, s:1, b:0)
% 1.57/1.95 ,
% 1.57/1.95 alpha1 [251, 2] (w:1, o:266, a:1, s:1, b:1),
% 1.57/1.95 alpha2 [252, 4] (w:1, o:335, a:1, s:1, b:1),
% 1.57/1.95 alpha3 [253, 4] (w:1, o:339, a:1, s:1, b:1),
% 1.57/1.95 alpha4 [254, 4] (w:1, o:346, a:1, s:1, b:1),
% 1.57/1.95 alpha5 [255, 3] (w:1, o:283, a:1, s:1, b:1),
% 1.57/1.95 alpha6 [256, 3] (w:1, o:284, a:1, s:1, b:1),
% 1.57/1.95 alpha7 [257, 3] (w:1, o:285, a:1, s:1, b:1),
% 1.57/1.95 alpha8 [258, 6] (w:1, o:358, a:1, s:1, b:1),
% 1.57/1.95 alpha9 [259, 3] (w:1, o:286, a:1, s:1, b:1),
% 1.57/1.95 alpha10 [260, 3] (w:1, o:287, a:1, s:1, b:1),
% 1.57/1.95 alpha11 [261, 4] (w:1, o:330, a:1, s:1, b:1),
% 1.57/1.95 alpha12 [262, 4] (w:1, o:331, a:1, s:1, b:1),
% 1.57/1.95 alpha13 [263, 3] (w:1, o:288, a:1, s:1, b:1),
% 1.57/1.95 alpha14 [264, 3] (w:1, o:289, a:1, s:1, b:1),
% 1.57/1.95 alpha15 [265, 5] (w:1, o:351, a:1, s:1, b:1),
% 1.57/1.95 alpha16 [266, 2] (w:1, o:267, a:1, s:1, b:1),
% 1.57/1.95 alpha17 [267, 4] (w:1, o:332, a:1, s:1, b:1),
% 1.57/1.95 alpha18 [268, 4] (w:1, o:333, a:1, s:1, b:1),
% 1.57/1.95 alpha19 [269, 4] (w:1, o:334, a:1, s:1, b:1),
% 1.57/1.95 alpha20 [270, 3] (w:1, o:290, a:1, s:1, b:1),
% 1.57/1.95 alpha21 [271, 3] (w:1, o:291, a:1, s:1, b:1),
% 1.57/1.95 alpha22 [272, 7] (w:1, o:359, a:1, s:1, b:1),
% 1.57/1.95 alpha23 [273, 3] (w:1, o:292, a:1, s:1, b:1),
% 1.57/1.95 alpha24 [274, 3] (w:1, o:293, a:1, s:1, b:1),
% 1.57/1.95 alpha25 [275, 4] (w:1, o:336, a:1, s:1, b:1),
% 1.57/1.95 alpha26 [276, 4] (w:1, o:337, a:1, s:1, b:1),
% 1.57/1.95 alpha27 [277, 3] (w:1, o:294, a:1, s:1, b:1),
% 1.57/1.95 alpha28 [278, 3] (w:1, o:295, a:1, s:1, b:1),
% 1.57/1.95 alpha29 [279, 4] (w:1, o:338, a:1, s:1, b:1),
% 1.57/1.95 alpha30 [280, 4] (w:1, o:340, a:1, s:1, b:1),
% 1.57/1.95 alpha31 [281, 4] (w:1, o:341, a:1, s:1, b:1),
% 1.57/1.95 alpha32 [282, 7] (w:1, o:360, a:1, s:1, b:1),
% 1.57/1.95 alpha33 [283, 4] (w:1, o:342, a:1, s:1, b:1),
% 1.57/1.95 alpha34 [284, 4] (w:1, o:343, a:1, s:1, b:1),
% 1.57/1.95 alpha35 [285, 4] (w:1, o:344, a:1, s:1, b:1),
% 1.57/1.95 alpha36 [286, 3] (w:1, o:296, a:1, s:1, b:1),
% 1.57/1.95 alpha37 [287, 4] (w:1, o:345, a:1, s:1, b:1),
% 1.57/1.95 alpha38 [288, 3] (w:1, o:297, a:1, s:1, b:1),
% 1.57/1.95 skol1 [289, 2] (w:1, o:229, a:1, s:1, b:1),
% 1.57/1.95 skol2 [290, 0] (w:1, o:17, a:1, s:1, b:1),
% 1.57/1.95 skol3 [291, 0] (w:1, o:18, a:1, s:1, b:1),
% 1.57/1.95 skol4 [292, 0] (w:1, o:19, a:1, s:1, b:1),
% 1.57/1.95 skol5 [293, 3] (w:1, o:305, a:1, s:1, b:1),
% 1.57/1.95 skol6 [294, 1] (w:1, o:195, a:1, s:1, b:1),
% 1.57/1.95 skol7 [295, 1] (w:1, o:196, a:1, s:1, b:1),
% 1.57/1.95 skol8 [296, 0] (w:1, o:20, a:1, s:1, b:1),
% 1.57/1.95 skol9 [297, 1] (w:1, o:197, a:1, s:1, b:1),
% 1.57/1.95 skol10 [298, 3] (w:1, o:306, a:1, s:1, b:1),
% 1.57/1.95 skol11 [299, 3] (w:1, o:307, a:1, s:1, b:1),
% 1.57/1.95 skol12 [300, 3] (w:1, o:308, a:1, s:1, b:1),
% 1.57/1.95 skol13 [301, 3] (w:1, o:309, a:1, s:1, b:1),
% 1.57/1.95 skol14 [302, 3] (w:1, o:310, a:1, s:1, b:1),
% 1.57/1.95 skol15 [303, 3] (w:1, o:311, a:1, s:1, b:1),
% 1.57/1.95 skol16 [304, 3] (w:1, o:312, a:1, s:1, b:1),
% 8.75/9.11 skol17 [305, 3] (w:1, o:313, a:1, s:1, b:1),
% 8.75/9.11 skol18 [306, 3] (w:1, o:314, a:1, s:1, b:1),
% 8.75/9.11 skol19 [307, 3] (w:1, o:315, a:1, s:1, b:1),
% 8.75/9.11 skol20 [308, 3] (w:1, o:316, a:1, s:1, b:1),
% 8.75/9.11 skol21 [309, 3] (w:1, o:317, a:1, s:1, b:1),
% 8.75/9.11 skol22 [310, 3] (w:1, o:318, a:1, s:1, b:1),
% 8.75/9.11 skol23 [311, 2] (w:1, o:230, a:1, s:1, b:1),
% 8.75/9.11 skol24 [312, 3] (w:1, o:319, a:1, s:1, b:1),
% 8.75/9.11 skol25 [313, 3] (w:1, o:320, a:1, s:1, b:1),
% 8.75/9.11 skol26 [314, 2] (w:1, o:231, a:1, s:1, b:1),
% 8.75/9.11 skol27 [315, 2] (w:1, o:232, a:1, s:1, b:1),
% 8.75/9.11 skol28 [316, 2] (w:1, o:233, a:1, s:1, b:1),
% 8.75/9.11 skol29 [317, 1] (w:1, o:198, a:1, s:1, b:1),
% 8.75/9.11 skol30 [318, 1] (w:1, o:199, a:1, s:1, b:1),
% 8.75/9.11 skol31 [319, 3] (w:1, o:321, a:1, s:1, b:1),
% 8.75/9.11 skol32 [320, 3] (w:1, o:322, a:1, s:1, b:1),
% 8.75/9.11 skol33 [321, 2] (w:1, o:234, a:1, s:1, b:1),
% 8.75/9.11 skol34 [322, 2] (w:1, o:235, a:1, s:1, b:1),
% 8.75/9.11 skol35 [323, 2] (w:1, o:236, a:1, s:1, b:1),
% 8.75/9.11 skol36 [324, 2] (w:1, o:237, a:1, s:1, b:1),
% 8.75/9.12 skol37 [325, 2] (w:1, o:238, a:1, s:1, b:1),
% 8.75/9.12 skol38 [326, 1] (w:1, o:200, a:1, s:1, b:1),
% 8.75/9.12 skol39 [327, 2] (w:1, o:239, a:1, s:1, b:1),
% 8.75/9.12 skol40 [328, 4] (w:1, o:347, a:1, s:1, b:1),
% 8.75/9.12 skol41 [329, 3] (w:1, o:298, a:1, s:1, b:1),
% 8.75/9.12 skol42 [330, 3] (w:1, o:299, a:1, s:1, b:1),
% 8.75/9.12 skol43 [331, 4] (w:1, o:348, a:1, s:1, b:1),
% 8.75/9.12 skol44 [332, 3] (w:1, o:300, a:1, s:1, b:1),
% 8.75/9.12 skol45 [333, 3] (w:1, o:301, a:1, s:1, b:1),
% 8.75/9.12 skol46 [334, 3] (w:1, o:302, a:1, s:1, b:1),
% 8.75/9.12 skol47 [335, 3] (w:1, o:303, a:1, s:1, b:1),
% 8.75/9.12 skol48 [336, 3] (w:1, o:304, a:1, s:1, b:1),
% 8.75/9.12 skol49 [337, 4] (w:1, o:349, a:1, s:1, b:1),
% 8.75/9.12 skol50 [338, 7] (w:1, o:361, a:1, s:1, b:1),
% 8.75/9.12 skol51 [339, 3] (w:1, o:323, a:1, s:1, b:1),
% 8.75/9.12 skol52 [340, 4] (w:1, o:350, a:1, s:1, b:1),
% 8.75/9.12 skol53 [341, 2] (w:1, o:240, a:1, s:1, b:1),
% 8.75/9.12 skol54 [342, 3] (w:1, o:324, a:1, s:1, b:1),
% 8.75/9.12 skol55 [343, 3] (w:1, o:325, a:1, s:1, b:1),
% 8.75/9.12 skol56 [344, 1] (w:1, o:194, a:1, s:1, b:1),
% 8.75/9.12 skol57 [345, 2] (w:1, o:241, a:1, s:1, b:1),
% 8.75/9.12 skol58 [346, 2] (w:1, o:242, a:1, s:1, b:1),
% 8.75/9.12 skol59 [347, 5] (w:1, o:352, a:1, s:1, b:1),
% 8.75/9.12 skol60 [348, 2] (w:1, o:243, a:1, s:1, b:1),
% 8.75/9.12 skol61 [349, 2] (w:1, o:244, a:1, s:1, b:1),
% 8.75/9.12 skol62 [350, 5] (w:1, o:353, a:1, s:1, b:1),
% 8.75/9.12 skol63 [351, 2] (w:1, o:245, a:1, s:1, b:1),
% 8.75/9.12 skol64 [352, 0] (w:1, o:21, a:1, s:1, b:1),
% 8.75/9.12 skol65 [353, 2] (w:1, o:246, a:1, s:1, b:1),
% 8.75/9.12 skol66 [354, 2] (w:1, o:247, a:1, s:1, b:1),
% 8.75/9.12 skol67 [355, 2] (w:1, o:248, a:1, s:1, b:1),
% 8.75/9.12 skol68 [356, 2] (w:1, o:249, a:1, s:1, b:1),
% 8.75/9.12 skol69 [357, 2] (w:1, o:250, a:1, s:1, b:1),
% 8.75/9.12 skol70 [358, 2] (w:1, o:251, a:1, s:1, b:1),
% 8.75/9.12 skol71 [359, 1] (w:1, o:201, a:1, s:1, b:1),
% 8.75/9.12 skol72 [360, 7] (w:1, o:362, a:1, s:1, b:1),
% 8.75/9.12 skol73 [361, 5] (w:1, o:354, a:1, s:1, b:1),
% 8.75/9.12 skol74 [362, 5] (w:1, o:355, a:1, s:1, b:1).
% 8.75/9.12
% 8.75/9.12
% 8.75/9.12 Starting Search:
% 8.75/9.12
% 8.75/9.12 *** allocated 113905 integers for clauses
% 8.75/9.12 *** allocated 170857 integers for clauses
% 8.75/9.12 Resimplifying inuse:
% 8.75/9.12 Done
% 8.75/9.12
% 8.75/9.12
% 8.75/9.12 Intermediate Status:
% 8.75/9.12 Generated: 3307
% 8.75/9.12 Kept: 2058
% 8.75/9.12 Inuse: 117
% 8.75/9.12 Deleted: 4
% 8.75/9.12 Deletedinuse: 0
% 8.75/9.12
% 8.75/9.12 *** allocated 256285 integers for clauses
% 8.75/9.12 Resimplifying inuse:
% 8.75/9.12 Done
% 8.75/9.12
% 8.75/9.12 Resimplifying inuse:
% 8.75/9.12 Done
% 8.75/9.12
% 8.75/9.12 *** allocated 170857 integers for termspace/termends
% 8.75/9.12
% 8.75/9.12 Intermediate Status:
% 8.75/9.12 Generated: 7919
% 8.75/9.12 Kept: 4181
% 8.75/9.12 Inuse: 282
% 8.75/9.12 Deleted: 12
% 8.75/9.12 Deletedinuse: 3
% 8.75/9.12
% 8.75/9.12 Resimplifying inuse:
% 8.75/9.12 Done
% 8.75/9.12
% 8.75/9.12 *** allocated 384427 integers for clauses
% 8.75/9.12 Resimplifying inuse:
% 8.75/9.12 Done
% 8.75/9.12
% 8.75/9.12
% 8.75/9.12 Intermediate Status:
% 8.75/9.12 Generated: 15152
% 8.75/9.12 Kept: 6660
% 8.75/9.12 Inuse: 374
% 8.75/9.12 Deleted: 15
% 8.75/9.12 Deletedinuse: 3
% 8.75/9.12
% 8.75/9.12 Resimplifying inuse:
% 8.75/9.12 Done
% 8.75/9.12
% 8.75/9.12 *** allocated 256285 integers for termspace/termends
% 8.75/9.12 *** allocated 576640 integers for clauses
% 8.75/9.12 Resimplifying inuse:
% 8.75/9.12 Done
% 8.75/9.12
% 8.75/9.12
% 8.75/9.12 Intermediate Status:
% 8.75/9.12 Generated: 19723
% 8.75/9.12 Kept: 9503
% 8.75/9.12 Inuse: 409
% 8.75/9.12 Deleted: 15
% 8.75/9.12 Deletedinuse: 3
% 8.75/9.12
% 8.75/9.12 Resimplifying inuse:
% 8.75/9.12 Done
% 8.75/9.12
% 8.75/9.12 Resimplifying inuse:
% 8.75/9.12 Done
% 8.75/9.12
% 8.75/9.12
% 8.75/9.12 Intermediate Status:
% 8.75/9.12 Generated: 24757
% 29.81/30.25 Kept: 11560
% 29.81/30.25 Inuse: 514
% 29.81/30.25 Deleted: 15
% 29.81/30.25 Deletedinuse: 3
% 29.81/30.25
% 29.81/30.25 Resimplifying inuse:
% 29.81/30.25 Done
% 29.81/30.25
% 29.81/30.25 *** allocated 384427 integers for termspace/termends
% 29.81/30.25 *** allocated 864960 integers for clauses
% 29.81/30.25
% 29.81/30.25 Intermediate Status:
% 29.81/30.25 Generated: 29057
% 29.81/30.25 Kept: 13706
% 29.81/30.25 Inuse: 551
% 29.81/30.25 Deleted: 18
% 29.81/30.25 Deletedinuse: 3
% 29.81/30.25
% 29.81/30.25 Resimplifying inuse:
% 29.81/30.25 Done
% 29.81/30.25
% 29.81/30.25 Resimplifying inuse:
% 29.81/30.25 Done
% 29.81/30.25
% 29.81/30.25
% 29.81/30.25 Intermediate Status:
% 29.81/30.25 Generated: 36199
% 29.81/30.25 Kept: 15769
% 29.81/30.25 Inuse: 621
% 29.81/30.25 Deleted: 19
% 29.81/30.25 Deletedinuse: 4
% 29.81/30.25
% 29.81/30.25 Resimplifying inuse:
% 29.81/30.25 Done
% 29.81/30.25
% 29.81/30.25 Resimplifying inuse:
% 29.81/30.25 Done
% 29.81/30.25
% 29.81/30.25
% 29.81/30.25 Intermediate Status:
% 29.81/30.25 Generated: 44942
% 29.81/30.25 Kept: 17952
% 29.81/30.25 Inuse: 657
% 29.81/30.25 Deleted: 19
% 29.81/30.25 Deletedinuse: 4
% 29.81/30.25
% 29.81/30.25 Resimplifying inuse:
% 29.81/30.25 Done
% 29.81/30.25
% 29.81/30.25 *** allocated 576640 integers for termspace/termends
% 29.81/30.25 *** allocated 1297440 integers for clauses
% 29.81/30.25 Resimplifying inuse:
% 29.81/30.25 Done
% 29.81/30.25
% 29.81/30.25
% 29.81/30.25 Intermediate Status:
% 29.81/30.25 Generated: 53469
% 29.81/30.25 Kept: 19956
% 29.81/30.25 Inuse: 704
% 29.81/30.25 Deleted: 19
% 29.81/30.25 Deletedinuse: 4
% 29.81/30.25
% 29.81/30.25 Resimplifying clauses:
% 29.81/30.25 Done
% 29.81/30.25
% 29.81/30.25 Resimplifying inuse:
% 29.81/30.25 Done
% 29.81/30.25
% 29.81/30.25 Resimplifying inuse:
% 29.81/30.25 Done
% 29.81/30.25
% 29.81/30.25
% 29.81/30.25 Intermediate Status:
% 29.81/30.25 Generated: 59847
% 29.81/30.25 Kept: 21995
% 29.81/30.25 Inuse: 771
% 29.81/30.25 Deleted: 422
% 29.81/30.25 Deletedinuse: 4
% 29.81/30.25
% 29.81/30.25 Resimplifying inuse:
% 29.81/30.25 Done
% 29.81/30.25
% 29.81/30.25 Resimplifying inuse:
% 29.81/30.25 Done
% 29.81/30.25
% 29.81/30.25
% 29.81/30.25 Intermediate Status:
% 29.81/30.25 Generated: 65803
% 29.81/30.25 Kept: 24056
% 29.81/30.25 Inuse: 836
% 29.81/30.25 Deleted: 422
% 29.81/30.25 Deletedinuse: 4
% 29.81/30.25
% 29.81/30.25 Resimplifying inuse:
% 29.81/30.25 Done
% 29.81/30.25
% 29.81/30.25
% 29.81/30.25 Intermediate Status:
% 29.81/30.25 Generated: 71703
% 29.81/30.25 Kept: 26412
% 29.81/30.25 Inuse: 876
% 29.81/30.25 Deleted: 422
% 29.81/30.25 Deletedinuse: 4
% 29.81/30.25
% 29.81/30.25 Resimplifying inuse:
% 29.81/30.25 Done
% 29.81/30.25
% 29.81/30.25 Resimplifying inuse:
% 29.81/30.25 Done
% 29.81/30.25
% 29.81/30.25
% 29.81/30.25 Intermediate Status:
% 29.81/30.25 Generated: 77139
% 29.81/30.25 Kept: 28927
% 29.81/30.25 Inuse: 891
% 29.81/30.25 Deleted: 422
% 29.81/30.25 Deletedinuse: 4
% 29.81/30.25
% 29.81/30.25 Resimplifying inuse:
% 29.81/30.25 Done
% 29.81/30.25
% 29.81/30.25 *** allocated 864960 integers for termspace/termends
% 29.81/30.25 Resimplifying inuse:
% 29.81/30.25 Done
% 29.81/30.25
% 29.81/30.25 *** allocated 1946160 integers for clauses
% 29.81/30.25
% 29.81/30.25 Intermediate Status:
% 29.81/30.25 Generated: 82551
% 29.81/30.25 Kept: 30962
% 29.81/30.25 Inuse: 907
% 29.81/30.25 Deleted: 429
% 29.81/30.25 Deletedinuse: 11
% 29.81/30.25
% 29.81/30.25 Resimplifying inuse:
% 29.81/30.25 Done
% 29.81/30.25
% 29.81/30.25 Resimplifying inuse:
% 29.81/30.25 Done
% 29.81/30.25
% 29.81/30.25
% 29.81/30.25 Intermediate Status:
% 29.81/30.25 Generated: 89419
% 29.81/30.25 Kept: 33039
% 29.81/30.25 Inuse: 946
% 29.81/30.25 Deleted: 434
% 29.81/30.25 Deletedinuse: 16
% 29.81/30.25
% 29.81/30.25 Resimplifying inuse:
% 29.81/30.25 Done
% 29.81/30.25
% 29.81/30.25 Resimplifying inuse:
% 29.81/30.25 Done
% 29.81/30.25
% 29.81/30.25
% 29.81/30.25 Intermediate Status:
% 29.81/30.25 Generated: 96539
% 29.81/30.25 Kept: 35056
% 29.81/30.25 Inuse: 997
% 29.81/30.25 Deleted: 436
% 29.81/30.25 Deletedinuse: 18
% 29.81/30.25
% 29.81/30.25 Resimplifying inuse:
% 29.81/30.25 Done
% 29.81/30.25
% 29.81/30.25
% 29.81/30.25 Intermediate Status:
% 29.81/30.25 Generated: 104334
% 29.81/30.25 Kept: 38996
% 29.81/30.25 Inuse: 1021
% 29.81/30.25 Deleted: 437
% 29.81/30.25 Deletedinuse: 19
% 29.81/30.25
% 29.81/30.25 Resimplifying inuse:
% 29.81/30.25 Done
% 29.81/30.25
% 29.81/30.25 Resimplifying inuse:
% 29.81/30.25 Done
% 29.81/30.25
% 29.81/30.25 Resimplifying clauses:
% 29.81/30.25 Done
% 29.81/30.25
% 29.81/30.25
% 29.81/30.25 Intermediate Status:
% 29.81/30.25 Generated: 112092
% 29.81/30.25 Kept: 41017
% 29.81/30.25 Inuse: 1036
% 29.81/30.25 Deleted: 758
% 29.81/30.25 Deletedinuse: 19
% 29.81/30.25
% 29.81/30.25
% 29.81/30.25 Intermediate Status:
% 29.81/30.25 Generated: 117255
% 29.81/30.25 Kept: 44285
% 29.81/30.25 Inuse: 1041
% 29.81/30.25 Deleted: 758
% 29.81/30.25 Deletedinuse: 19
% 29.81/30.25
% 29.81/30.25 Resimplifying inuse:
% 29.81/30.25 Done
% 29.81/30.25
% 29.81/30.25 *** allocated 1297440 integers for termspace/termends
% 29.81/30.25 *** allocated 2919240 integers for clauses
% 29.81/30.25 Resimplifying inuse:
% 29.81/30.25 Done
% 29.81/30.25
% 29.81/30.25
% 29.81/30.25 Intermediate Status:
% 29.81/30.25 Generated: 129032
% 29.81/30.25 Kept: 47400
% 29.81/30.25 Inuse: 1090
% 29.81/30.25 Deleted: 761
% 29.81/30.25 Deletedinuse: 21
% 29.81/30.25
% 29.81/30.25 Resimplifying inuse:
% 29.81/30.25 Done
% 29.81/30.25
% 29.81/30.25 Resimplifying inuse:
% 29.81/30.25 Done
% 29.81/30.25
% 29.81/30.25
% 29.81/30.25 Intermediate Status:
% 29.81/30.25 Generated: 134664
% 29.81/30.25 Kept: 49445
% 29.81/30.25 Inuse: 1120
% 29.81/30.25 Deleted: 762
% 29.81/30.25 Deletedinuse: 21
% 29.81/30.25
% 29.81/30.25 Resimplifying inuse:
% 29.81/30.25 Done
% 29.81/30.25
% 29.81/30.25 Resimplifying inuse:
% 29.81/30.25 Done
% 29.81/30.25
% 29.81/30.25
% 29.81/30.25 Intermediate Status:
% 29.81/30.25 Generated: 142222
% 29.81/30.25 Kept: 52504
% 29.81/30.25 Inuse: 1144
% 29.81/30.25 Deleted: 762
% 29.81/30.25 Deletedinuse: 21
% 29.81/30.25
% 29.81/30.25 Resimplifying inuse:
% 29.81/30.25 Done
% 29.81/30.25
% 29.81/30.25
% 29.81/30.25 Intermediate Status:
% 29.81/30.25 Generated: 149295
% 29.81/30.25 Kept: 55108
% 29.81/30.25 Inuse: 1159
% 29.81/30.25 Deleted: 770
% 29.81/30.25 Deletedinuse: 29
% 29.81/30.25
% 29.81/30.25 Resimplifying inuse:
% 29.81/30.25 Done
% 29.81/30.25
% 29.81/30.25
% 29.81/30.25 Intermediate Status:
% 29.81/30.25 Generated: 156634
% 29.81/30.25 Kept: 57630
% 29.81/30.25 Inuse: 1174
% 29.81/30.25 Deleted: 770
% 29.81/30.25 Deletedinuse: 29
% 29.81/30.25
% 29.81/30.25 Resimplifying inuse:
% 29.81/30.25 Done
% 29.81/30.25
% 29.81/30.25 Resimplifying inuse:
% 29.81/30.25 Done
% 29.81/30.25
% 29.81/30.25
% 29.81/30.25 Intermediate Status:
% 29.81/30.25 Generated: 167473
% 29.81/30.25 Kept: 59669
% 29.81/30.25 Inuse: 1200
% 29.81/30.25 Deleted: 772
% 29.81/30.25 Deletedinuse: 31
% 29.81/30.25
% 29.81/30.25 Resimplifying inuse:
% 29.81/30.25 Done
% 29.81/30.25
% 29.81/30.25 Resimplifying inuse:
% 29.81/30.25 Done
% 29.81/30.25
% 29.81/30.25 Resimplifying clauses:
% 29.81/30.25 Done
% 29.81/30.25
% 29.81/30.25
% 29.81/30.25 Intermediate Status:
% 29.81/30.25 Generated: 178152
% 29.81/30.25 Kept: 61673
% 29.81/30.25 Inuse: 1222
% 29.81/30.25 Deleted: 1073
% 29.81/30.25 Deletedinuse: 31
% 29.81/30.25
% 29.81/30.25 Resimplifying inuse:
% 29.81/30.25 Done
% 29.81/30.25
% 29.81/30.25
% 29.81/30.25 Intermediate Status:
% 29.81/30.25 Generated: 185502
% 29.81/30.25 Kept: 66576
% 29.81/30.25 Inuse: 1228
% 29.81/30.25 Deleted: 1073
% 29.81/30.25 Deletedinuse: 31
% 29.81/30.25
% 29.81/30.25 Resimplifying inuse:
% 71.90/72.31 Done
% 71.90/72.31
% 71.90/72.31 *** allocated 1946160 integers for termspace/termends
% 71.90/72.31 *** allocated 4378860 integers for clauses
% 71.90/72.31
% 71.90/72.31 Intermediate Status:
% 71.90/72.31 Generated: 191407
% 71.90/72.31 Kept: 71060
% 71.90/72.31 Inuse: 1233
% 71.90/72.31 Deleted: 1073
% 71.90/72.31 Deletedinuse: 31
% 71.90/72.31
% 71.90/72.31 Resimplifying inuse:
% 71.90/72.31 Done
% 71.90/72.31
% 71.90/72.31
% 71.90/72.31 Intermediate Status:
% 71.90/72.31 Generated: 197507
% 71.90/72.31 Kept: 75635
% 71.90/72.31 Inuse: 1243
% 71.90/72.31 Deleted: 1073
% 71.90/72.31 Deletedinuse: 31
% 71.90/72.31
% 71.90/72.31 Resimplifying inuse:
% 71.90/72.31 Done
% 71.90/72.31
% 71.90/72.31
% 71.90/72.31 Intermediate Status:
% 71.90/72.31 Generated: 203415
% 71.90/72.31 Kept: 80123
% 71.90/72.31 Inuse: 1248
% 71.90/72.31 Deleted: 1073
% 71.90/72.31 Deletedinuse: 31
% 71.90/72.31
% 71.90/72.31 Resimplifying inuse:
% 71.90/72.31 Done
% 71.90/72.31
% 71.90/72.31
% 71.90/72.31 Intermediate Status:
% 71.90/72.31 Generated: 210983
% 71.90/72.31 Kept: 83977
% 71.90/72.31 Inuse: 1273
% 71.90/72.31 Deleted: 1073
% 71.90/72.31 Deletedinuse: 31
% 71.90/72.31
% 71.90/72.31 Resimplifying inuse:
% 71.90/72.31 Done
% 71.90/72.31
% 71.90/72.31 Resimplifying clauses:
% 71.90/72.31 Done
% 71.90/72.31
% 71.90/72.31
% 71.90/72.31 Intermediate Status:
% 71.90/72.31 Generated: 220613
% 71.90/72.31 Kept: 86159
% 71.90/72.31 Inuse: 1298
% 71.90/72.31 Deleted: 1135
% 71.90/72.31 Deletedinuse: 32
% 71.90/72.31
% 71.90/72.31 Resimplifying inuse:
% 71.90/72.31 Done
% 71.90/72.31
% 71.90/72.31 Resimplifying inuse:
% 71.90/72.31 Done
% 71.90/72.31
% 71.90/72.31
% 71.90/72.31 Intermediate Status:
% 71.90/72.31 Generated: 224971
% 71.90/72.31 Kept: 88219
% 71.90/72.31 Inuse: 1388
% 71.90/72.31 Deleted: 1138
% 71.90/72.31 Deletedinuse: 35
% 71.90/72.31
% 71.90/72.31 Resimplifying inuse:
% 71.90/72.31 Done
% 71.90/72.31
% 71.90/72.31 Resimplifying inuse:
% 71.90/72.31 Done
% 71.90/72.31
% 71.90/72.31
% 71.90/72.31 Intermediate Status:
% 71.90/72.31 Generated: 229686
% 71.90/72.31 Kept: 90386
% 71.90/72.31 Inuse: 1453
% 71.90/72.31 Deleted: 1138
% 71.90/72.31 Deletedinuse: 35
% 71.90/72.31
% 71.90/72.31 Resimplifying inuse:
% 71.90/72.31 Done
% 71.90/72.31
% 71.90/72.31 Resimplifying inuse:
% 71.90/72.31 Done
% 71.90/72.31
% 71.90/72.31
% 71.90/72.31 Intermediate Status:
% 71.90/72.31 Generated: 234470
% 71.90/72.31 Kept: 92521
% 71.90/72.31 Inuse: 1493
% 71.90/72.31 Deleted: 1138
% 71.90/72.31 Deletedinuse: 35
% 71.90/72.31
% 71.90/72.31 Resimplifying inuse:
% 71.90/72.31 Done
% 71.90/72.31
% 71.90/72.31 Resimplifying inuse:
% 71.90/72.31 Done
% 71.90/72.31
% 71.90/72.31
% 71.90/72.31 Intermediate Status:
% 71.90/72.31 Generated: 238637
% 71.90/72.31 Kept: 94700
% 71.90/72.31 Inuse: 1533
% 71.90/72.31 Deleted: 1138
% 71.90/72.31 Deletedinuse: 35
% 71.90/72.31
% 71.90/72.31 Resimplifying inuse:
% 71.90/72.31 Done
% 71.90/72.31
% 71.90/72.31 Resimplifying inuse:
% 71.90/72.31 Done
% 71.90/72.31
% 71.90/72.31
% 71.90/72.31 Intermediate Status:
% 71.90/72.31 Generated: 244881
% 71.90/72.31 Kept: 96904
% 71.90/72.31 Inuse: 1598
% 71.90/72.31 Deleted: 1138
% 71.90/72.31 Deletedinuse: 35
% 71.90/72.31
% 71.90/72.31 *** allocated 2919240 integers for termspace/termends
% 71.90/72.31 Resimplifying inuse:
% 71.90/72.31 Done
% 71.90/72.31
% 71.90/72.31 Resimplifying inuse:
% 71.90/72.31 Done
% 71.90/72.31
% 71.90/72.31
% 71.90/72.31 Intermediate Status:
% 71.90/72.31 Generated: 248292
% 71.90/72.31 Kept: 98981
% 71.90/72.31 Inuse: 1683
% 71.90/72.31 Deleted: 1138
% 71.90/72.31 Deletedinuse: 35
% 71.90/72.31
% 71.90/72.31 Resimplifying inuse:
% 71.90/72.31 Done
% 71.90/72.31
% 71.90/72.31 *** allocated 6568290 integers for clauses
% 71.90/72.31 Resimplifying inuse:
% 71.90/72.31 Done
% 71.90/72.31
% 71.90/72.31
% 71.90/72.31 Intermediate Status:
% 71.90/72.31 Generated: 254908
% 71.90/72.31 Kept: 101001
% 71.90/72.31 Inuse: 1758
% 71.90/72.31 Deleted: 1138
% 71.90/72.31 Deletedinuse: 35
% 71.90/72.31
% 71.90/72.31 Resimplifying inuse:
% 71.90/72.31 Done
% 71.90/72.31
% 71.90/72.31
% 71.90/72.31 Intermediate Status:
% 71.90/72.31 Generated: 268945
% 71.90/72.31 Kept: 104763
% 71.90/72.31 Inuse: 1808
% 71.90/72.31 Deleted: 1139
% 71.90/72.31 Deletedinuse: 36
% 71.90/72.31
% 71.90/72.31 Resimplifying inuse:
% 71.90/72.31 Done
% 71.90/72.31
% 71.90/72.31 Resimplifying clauses:
% 71.90/72.31 Done
% 71.90/72.31
% 71.90/72.31 Resimplifying inuse:
% 71.90/72.31 Done
% 71.90/72.31
% 71.90/72.31
% 71.90/72.31 Intermediate Status:
% 71.90/72.31 Generated: 277759
% 71.90/72.31 Kept: 107090
% 71.90/72.31 Inuse: 1848
% 71.90/72.31 Deleted: 1389
% 71.90/72.31 Deletedinuse: 36
% 71.90/72.31
% 71.90/72.31 Resimplifying inuse:
% 71.90/72.31 Done
% 71.90/72.31
% 71.90/72.31 Resimplifying inuse:
% 71.90/72.31 Done
% 71.90/72.31
% 71.90/72.31
% 71.90/72.31 Intermediate Status:
% 71.90/72.31 Generated: 283786
% 71.90/72.31 Kept: 109138
% 71.90/72.31 Inuse: 1892
% 71.90/72.31 Deleted: 1393
% 71.90/72.31 Deletedinuse: 39
% 71.90/72.31
% 71.90/72.31 Resimplifying inuse:
% 71.90/72.31 Done
% 71.90/72.31
% 71.90/72.31 Resimplifying inuse:
% 71.90/72.31 Done
% 71.90/72.31
% 71.90/72.31
% 71.90/72.31 Intermediate Status:
% 71.90/72.31 Generated: 290260
% 71.90/72.31 Kept: 111162
% 71.90/72.31 Inuse: 1961
% 71.90/72.31 Deleted: 1403
% 71.90/72.31 Deletedinuse: 43
% 71.90/72.31
% 71.90/72.31 Resimplifying inuse:
% 71.90/72.31 Done
% 71.90/72.31
% 71.90/72.31 Resimplifying inuse:
% 71.90/72.31 Done
% 71.90/72.31
% 71.90/72.31
% 71.90/72.31 Intermediate Status:
% 71.90/72.31 Generated: 299174
% 71.90/72.31 Kept: 113434
% 71.90/72.31 Inuse: 2016
% 71.90/72.31 Deleted: 1403
% 71.90/72.31 Deletedinuse: 43
% 71.90/72.31
% 71.90/72.31 Resimplifying inuse:
% 71.90/72.31 Done
% 71.90/72.31
% 71.90/72.31 Resimplifying inuse:
% 71.90/72.31 Done
% 71.90/72.31
% 71.90/72.31
% 71.90/72.31 Intermediate Status:
% 71.90/72.31 Generated: 305976
% 71.90/72.31 Kept: 115640
% 71.90/72.31 Inuse: 2056
% 71.90/72.31 Deleted: 1403
% 71.90/72.31 Deletedinuse: 43
% 71.90/72.31
% 71.90/72.31 Resimplifying inuse:
% 71.90/72.31 Done
% 71.90/72.31
% 71.90/72.31 Resimplifying inuse:
% 71.90/72.31 Done
% 71.90/72.31
% 71.90/72.31
% 71.90/72.31 Intermediate Status:
% 71.90/72.31 Generated: 312121
% 71.90/72.31 Kept: 117698
% 71.90/72.31 Inuse: 2111
% 71.90/72.31 Deleted: 1403
% 71.90/72.31 Deletedinuse: 43
% 71.90/72.31
% 71.90/72.31 Resimplifying inuse:
% 71.90/72.31 Done
% 71.90/72.31
% 71.90/72.31 Resimplifying inuse:
% 71.90/72.31 Done
% 71.90/72.31
% 71.90/72.31
% 71.90/72.31 Intermediate Status:
% 71.90/72.31 Generated: 317445
% 71.90/72.31 Kept: 119714
% 71.90/72.31 Inuse: 2156
% 71.90/72.31 Deleted: 1408
% 71.90/72.31 Deletedinuse: 48
% 71.90/72.31
% 71.90/72.31 Resimplifying inuse:
% 71.90/72.31 Done
% 71.90/72.31
% 71.90/72.31
% 71.90/72.31 Intermediate Status:
% 71.90/72.31 Generated: 323846
% 71.90/72.31 Kept: 122977
% 71.90/72.31 Inuse: 2186
% 71.90/72.31 Deleted: 1408
% 71.90/72.31 Deletedinuse: 48
% 71.90/72.31
% 71.90/72.31 Resimplifying inuse:
% 71.90/72.31 Done
% 71.90/72.31
% 71.90/72.31
% 71.90/72.31 Intermediate Status:
% 71.90/72.31 Generated: 327749
% 71.90/72.31 Kept: 125046
% 71.90/72.31 Inuse: 2191
% 71.90/72.31 Deleted: 1408
% 71.90/72.31 Deletedinuse: 48
% 71.90/72.31
% 71.90/72.31 Resimplifying inuse:
% 71.90/72.31 Done
% 71.90/72.31
% 71.90/72.31 Resimplifying clauses:
% 71.90/72.31 Done
% 71.90/72.31
% 71.90/72.31 Resimplifying inuse:
% 71.90/72.31 Done
% 71.90/72.31
% 71.90/72.31
% 71.90/72.31 Intermediate Status:
% 71.90/72.31 Generated: 338788
% 71.90/72.31 Kept: 127073
% 71.90/72.31 Inuse: 2291
% 71.90/72.31 Deleted: 1956
% 71.90/72.31 Deletedinuse: 48
% 71.90/72.31
% 71.90/72.31 Resimplifying inuse:
% 71.90/72.31 Done
% 71.90/72.31
% 71.90/72.31 Resimplifying inuse:
% 163.55/163.98 Done
% 163.55/163.98
% 163.55/163.98
% 163.55/163.98 Intermediate Status:
% 163.55/163.98 Generated: 346144
% 163.55/163.98 Kept: 129101
% 163.55/163.98 Inuse: 2318
% 163.55/163.98 Deleted: 1956
% 163.55/163.98 Deletedinuse: 48
% 163.55/163.98
% 163.55/163.98 Resimplifying inuse:
% 163.55/163.98 Done
% 163.55/163.98
% 163.55/163.98 Resimplifying inuse:
% 163.55/163.98 Done
% 163.55/163.98
% 163.55/163.98
% 163.55/163.98 Intermediate Status:
% 163.55/163.98 Generated: 352798
% 163.55/163.98 Kept: 131245
% 163.55/163.98 Inuse: 2361
% 163.55/163.98 Deleted: 1957
% 163.55/163.98 Deletedinuse: 49
% 163.55/163.98
% 163.55/163.98 Resimplifying inuse:
% 163.55/163.98 Done
% 163.55/163.98
% 163.55/163.98 Resimplifying inuse:
% 163.55/163.98 Done
% 163.55/163.98
% 163.55/163.98
% 163.55/163.98 Intermediate Status:
% 163.55/163.98 Generated: 360157
% 163.55/163.98 Kept: 133276
% 163.55/163.98 Inuse: 2384
% 163.55/163.98 Deleted: 1957
% 163.55/163.98 Deletedinuse: 49
% 163.55/163.98
% 163.55/163.98 Resimplifying inuse:
% 163.55/163.98 Done
% 163.55/163.98
% 163.55/163.98 Resimplifying inuse:
% 163.55/163.98 Done
% 163.55/163.98
% 163.55/163.98 *** allocated 4378860 integers for termspace/termends
% 163.55/163.98
% 163.55/163.98 Intermediate Status:
% 163.55/163.98 Generated: 369108
% 163.55/163.98 Kept: 136819
% 163.55/163.98 Inuse: 2426
% 163.55/163.98 Deleted: 1958
% 163.55/163.98 Deletedinuse: 50
% 163.55/163.98
% 163.55/163.98 Resimplifying inuse:
% 163.55/163.98 Done
% 163.55/163.98
% 163.55/163.98
% 163.55/163.98 Intermediate Status:
% 163.55/163.98 Generated: 373426
% 163.55/163.98 Kept: 138943
% 163.55/163.98 Inuse: 2431
% 163.55/163.98 Deleted: 1958
% 163.55/163.98 Deletedinuse: 50
% 163.55/163.98
% 163.55/163.98 Resimplifying inuse:
% 163.55/163.98 Done
% 163.55/163.98
% 163.55/163.98 Resimplifying inuse:
% 163.55/163.98 Done
% 163.55/163.98
% 163.55/163.98
% 163.55/163.98 Intermediate Status:
% 163.55/163.98 Generated: 380574
% 163.55/163.98 Kept: 141163
% 163.55/163.98 Inuse: 2506
% 163.55/163.98 Deleted: 1959
% 163.55/163.98 Deletedinuse: 51
% 163.55/163.98
% 163.55/163.98 Resimplifying inuse:
% 163.55/163.98 Done
% 163.55/163.98
% 163.55/163.98 Resimplifying inuse:
% 163.55/163.98 Done
% 163.55/163.98
% 163.55/163.98
% 163.55/163.98 Intermediate Status:
% 163.55/163.98 Generated: 388587
% 163.55/163.98 Kept: 143207
% 163.55/163.98 Inuse: 2539
% 163.55/163.98 Deleted: 1964
% 163.55/163.98 Deletedinuse: 55
% 163.55/163.98
% 163.55/163.98 Resimplifying inuse:
% 163.55/163.98 Done
% 163.55/163.98
% 163.55/163.98 Resimplifying inuse:
% 163.55/163.98 Done
% 163.55/163.98
% 163.55/163.98 *** allocated 9852435 integers for clauses
% 163.55/163.98 Resimplifying clauses:
% 163.55/163.98 Done
% 163.55/163.98
% 163.55/163.98
% 163.55/163.98 Intermediate Status:
% 163.55/163.98 Generated: 394209
% 163.55/163.98 Kept: 145217
% 163.55/163.98 Inuse: 2572
% 163.55/163.98 Deleted: 2564
% 163.55/163.98 Deletedinuse: 56
% 163.55/163.98
% 163.55/163.98 Resimplifying inuse:
% 163.55/163.98 Done
% 163.55/163.98
% 163.55/163.98
% 163.55/163.98 Intermediate Status:
% 163.55/163.98 Generated: 407875
% 163.55/163.98 Kept: 147312
% 163.55/163.98 Inuse: 2580
% 163.55/163.98 Deleted: 2564
% 163.55/163.98 Deletedinuse: 56
% 163.55/163.98
% 163.55/163.98 Resimplifying inuse:
% 163.55/163.98 Done
% 163.55/163.98
% 163.55/163.98
% 163.55/163.98 Intermediate Status:
% 163.55/163.98 Generated: 419574
% 163.55/163.98 Kept: 154029
% 163.55/163.98 Inuse: 2595
% 163.55/163.98 Deleted: 2564
% 163.55/163.98 Deletedinuse: 56
% 163.55/163.98
% 163.55/163.98 Resimplifying inuse:
% 163.55/163.98 Done
% 163.55/163.98
% 163.55/163.98
% 163.55/163.98 Intermediate Status:
% 163.55/163.98 Generated: 429161
% 163.55/163.98 Kept: 160322
% 163.55/163.98 Inuse: 2610
% 163.55/163.98 Deleted: 2564
% 163.55/163.98 Deletedinuse: 56
% 163.55/163.98
% 163.55/163.98 Resimplifying inuse:
% 163.55/163.98 Done
% 163.55/163.98
% 163.55/163.98 Resimplifying inuse:
% 163.55/163.98 Done
% 163.55/163.98
% 163.55/163.98
% 163.55/163.98 Intermediate Status:
% 163.55/163.98 Generated: 434557
% 163.55/163.98 Kept: 162503
% 163.55/163.98 Inuse: 2660
% 163.55/163.98 Deleted: 2564
% 163.55/163.98 Deletedinuse: 56
% 163.55/163.98
% 163.55/163.98 Resimplifying inuse:
% 163.55/163.98 Done
% 163.55/163.98
% 163.55/163.98 Resimplifying inuse:
% 163.55/163.98 Done
% 163.55/163.98
% 163.55/163.98
% 163.55/163.98 Intermediate Status:
% 163.55/163.98 Generated: 439700
% 163.55/163.98 Kept: 164616
% 163.55/163.98 Inuse: 2715
% 163.55/163.98 Deleted: 2564
% 163.55/163.98 Deletedinuse: 56
% 163.55/163.98
% 163.55/163.98
% 163.55/163.98 Intermediate Status:
% 163.55/163.98 Generated: 444194
% 163.55/163.98 Kept: 166672
% 163.55/163.98 Inuse: 2720
% 163.55/163.98 Deleted: 2564
% 163.55/163.98 Deletedinuse: 56
% 163.55/163.98
% 163.55/163.98 Resimplifying inuse:
% 163.55/163.98 Done
% 163.55/163.98
% 163.55/163.98 Resimplifying clauses:
% 163.55/163.98 Done
% 163.55/163.98
% 163.55/163.98 Resimplifying inuse:
% 163.55/163.98 Done
% 163.55/163.98
% 163.55/163.98
% 163.55/163.98 Intermediate Status:
% 163.55/163.98 Generated: 450277
% 163.55/163.98 Kept: 168833
% 163.55/163.98 Inuse: 2730
% 163.55/163.98 Deleted: 2735
% 163.55/163.98 Deletedinuse: 57
% 163.55/163.98
% 163.55/163.98 Resimplifying inuse:
% 163.55/163.98 Done
% 163.55/163.98
% 163.55/163.98 Resimplifying inuse:
% 163.55/163.98 Done
% 163.55/163.98
% 163.55/163.98
% 163.55/163.98 Intermediate Status:
% 163.55/163.98 Generated: 466358
% 163.55/163.98 Kept: 173557
% 163.55/163.98 Inuse: 2770
% 163.55/163.98 Deleted: 2735
% 163.55/163.98 Deletedinuse: 57
% 163.55/163.98
% 163.55/163.98 Resimplifying inuse:
% 163.55/163.98 Done
% 163.55/163.98
% 163.55/163.98 Resimplifying inuse:
% 163.55/163.98 Done
% 163.55/163.98
% 163.55/163.98
% 163.55/163.98 Intermediate Status:
% 163.55/163.98 Generated: 472059
% 163.55/163.98 Kept: 175678
% 163.55/163.98 Inuse: 2792
% 163.55/163.98 Deleted: 2735
% 163.55/163.98 Deletedinuse: 57
% 163.55/163.98
% 163.55/163.98 Resimplifying inuse:
% 163.55/163.98 Done
% 163.55/163.98
% 163.55/163.98 Resimplifying inuse:
% 163.55/163.98 Done
% 163.55/163.98
% 163.55/163.98
% 163.55/163.98 Intermediate Status:
% 163.55/163.98 Generated: 477311
% 163.55/163.98 Kept: 177825
% 163.55/163.98 Inuse: 2805
% 163.55/163.98 Deleted: 2735
% 163.55/163.98 Deletedinuse: 57
% 163.55/163.98
% 163.55/163.98 Resimplifying inuse:
% 163.55/163.98 Done
% 163.55/163.98
% 163.55/163.98 Resimplifying inuse:
% 163.55/163.98 Done
% 163.55/163.98
% 163.55/163.98
% 163.55/163.98 Intermediate Status:
% 163.55/163.98 Generated: 482660
% 163.55/163.98 Kept: 179843
% 163.55/163.98 Inuse: 2823
% 163.55/163.98 Deleted: 2736
% 163.55/163.98 Deletedinuse: 58
% 163.55/163.98
% 163.55/163.98
% 163.55/163.98 Intermediate Status:
% 163.55/163.98 Generated: 492199
% 163.55/163.98 Kept: 184543
% 163.55/163.98 Inuse: 2825
% 163.55/163.98 Deleted: 2736
% 163.55/163.98 Deletedinuse: 58
% 163.55/163.98
% 163.55/163.98 Resimplifying inuse:
% 163.55/163.98 Done
% 163.55/163.98
% 163.55/163.98 Resimplifying inuse:
% 163.55/163.98 Done
% 163.55/163.98
% 163.55/163.98
% 163.55/163.98 Intermediate Status:
% 163.55/163.98 Generated: 498026
% 163.55/163.98 Kept: 186633
% 163.55/163.98 Inuse: 2852
% 163.55/163.98 Deleted: 2738
% 163.55/163.98 Deletedinuse: 60
% 163.55/163.98
% 163.55/163.98 Resimplifying inuse:
% 163.55/163.98 Done
% 163.55/163.98
% 163.55/163.98 Resimplifying clauses:
% 163.55/163.98 Done
% 163.55/163.98
% 163.55/163.98 Resimplifying inuse:
% 163.55/163.98 Done
% 163.55/163.98
% 163.55/163.98
% 163.55/163.98 Intermediate Status:
% 163.55/163.98 Generated: 507894
% 163.55/163.98 Kept: 189928
% 163.55/163.98 Inuse: 2880
% 163.55/163.98 Deleted: 3093
% 163.55/163.98 Deletedinuse: 67
% 163.55/163.98
% 163.55/163.98 Resimplifying inuse:
% 163.55/163.98 Done
% 163.55/163.98
% 163.55/163.98 *** allocated 6568290 integers for termspace/termends
% 163.55/163.98 Resimplifying inuse:
% 163.55/163.98 Done
% 163.55/163.98
% 163.55/163.98
% 163.55/163.98 Intermediate Status:
% 163.55/163.98 Generated: 532558
% 163.55/163.98 Kept: 194790
% 163.55/163.98 Inuse: 2895
% 163.55/163.98 Deleted: 3099
% 163.55/163.98 Deletedinuse: 73
% 163.55/163.98
% 163.55/163.98 Resimplifying inuse:
% 163.55/163.98 Done
% 163.55/163.98
% 163.55/163.98
% 163.55/163.98 Intermediate Status:
% 163.55/163.98 Generated: 547881
% 163.55/163.98 Kept: 197822
% 163.55/163.98 Inuse: 2900
% 163.55/163.98 Deleted: 3099
% 281.55/281.97 Deletedinuse: 73
% 281.55/281.97
% 281.55/281.97 Resimplifying inuse:
% 281.55/281.97 Done
% 281.55/281.97
% 281.55/281.97 Resimplifying inuse:
% 281.55/281.97 Done
% 281.55/281.97
% 281.55/281.97
% 281.55/281.97 Intermediate Status:
% 281.55/281.97 Generated: 556644
% 281.55/281.97 Kept: 201433
% 281.55/281.97 Inuse: 2935
% 281.55/281.97 Deleted: 3099
% 281.55/281.97 Deletedinuse: 73
% 281.55/281.97
% 281.55/281.97 Resimplifying inuse:
% 281.55/281.97 Done
% 281.55/281.97
% 281.55/281.97
% 281.55/281.97 Intermediate Status:
% 281.55/281.97 Generated: 583505
% 281.55/281.97 Kept: 204903
% 281.55/281.97 Inuse: 2955
% 281.55/281.97 Deleted: 3099
% 281.55/281.97 Deletedinuse: 73
% 281.55/281.97
% 281.55/281.97 Resimplifying inuse:
% 281.55/281.97 Done
% 281.55/281.97
% 281.55/281.97 Resimplifying inuse:
% 281.55/281.97 Done
% 281.55/281.97
% 281.55/281.97 Resimplifying clauses:
% 281.55/281.97 Done
% 281.55/281.97
% 281.55/281.97
% 281.55/281.97 Intermediate Status:
% 281.55/281.97 Generated: 620144
% 281.55/281.97 Kept: 210028
% 281.55/281.97 Inuse: 2965
% 281.55/281.97 Deleted: 3437
% 281.55/281.97 Deletedinuse: 73
% 281.55/281.97
% 281.55/281.97 Resimplifying inuse:
% 281.55/281.97 Done
% 281.55/281.97
% 281.55/281.97 Resimplifying inuse:
% 281.55/281.97 Done
% 281.55/281.97
% 281.55/281.97
% 281.55/281.97 Intermediate Status:
% 281.55/281.97 Generated: 636953
% 281.55/281.97 Kept: 213964
% 281.55/281.97 Inuse: 2975
% 281.55/281.97 Deleted: 3437
% 281.55/281.97 Deletedinuse: 73
% 281.55/281.97
% 281.55/281.97 Resimplifying inuse:
% 281.55/281.97 Done
% 281.55/281.97
% 281.55/281.97 Resimplifying inuse:
% 281.55/281.97 Done
% 281.55/281.97
% 281.55/281.97
% 281.55/281.97 Intermediate Status:
% 281.55/281.97 Generated: 653097
% 281.55/281.97 Kept: 216278
% 281.55/281.97 Inuse: 2985
% 281.55/281.97 Deleted: 3437
% 281.55/281.97 Deletedinuse: 73
% 281.55/281.97
% 281.55/281.97 Resimplifying inuse:
% 281.55/281.97 Done
% 281.55/281.97
% 281.55/281.97 Resimplifying inuse:
% 281.55/281.97 Done
% 281.55/281.97
% 281.55/281.97
% 281.55/281.97 Intermediate Status:
% 281.55/281.97 Generated: 701366
% 281.55/281.97 Kept: 218581
% 281.55/281.97 Inuse: 3045
% 281.55/281.97 Deleted: 3437
% 281.55/281.97 Deletedinuse: 73
% 281.55/281.97
% 281.55/281.97 *** allocated 14778652 integers for clauses
% 281.55/281.97 Resimplifying inuse:
% 281.55/281.97 Done
% 281.55/281.97
% 281.55/281.97
% 281.55/281.97 Intermediate Status:
% 281.55/281.97 Generated: 705798
% 281.55/281.97 Kept: 220701
% 281.55/281.97 Inuse: 3075
% 281.55/281.97 Deleted: 3437
% 281.55/281.97 Deletedinuse: 73
% 281.55/281.97
% 281.55/281.97 Resimplifying inuse:
% 281.55/281.97 Done
% 281.55/281.97
% 281.55/281.97 Resimplifying inuse:
% 281.55/281.97 Done
% 281.55/281.97
% 281.55/281.97
% 281.55/281.97 Intermediate Status:
% 281.55/281.97 Generated: 710988
% 281.55/281.97 Kept: 222917
% 281.55/281.97 Inuse: 3105
% 281.55/281.97 Deleted: 3437
% 281.55/281.97 Deletedinuse: 73
% 281.55/281.97
% 281.55/281.97 Resimplifying inuse:
% 281.55/281.97 Done
% 281.55/281.97
% 281.55/281.97
% 281.55/281.97 Intermediate Status:
% 281.55/281.97 Generated: 723000
% 281.55/281.97 Kept: 224917
% 281.55/281.97 Inuse: 3110
% 281.55/281.97 Deleted: 3437
% 281.55/281.97 Deletedinuse: 73
% 281.55/281.97
% 281.55/281.97 Resimplifying inuse:
% 281.55/281.97 Done
% 281.55/281.97
% 281.55/281.97
% 281.55/281.97 Intermediate Status:
% 281.55/281.97 Generated: 735887
% 281.55/281.97 Kept: 227145
% 281.55/281.97 Inuse: 3120
% 281.55/281.97 Deleted: 3437
% 281.55/281.97 Deletedinuse: 73
% 281.55/281.97
% 281.55/281.97 Resimplifying inuse:
% 281.55/281.97 Done
% 281.55/281.97
% 281.55/281.97 Resimplifying clauses:
% 281.55/281.97 Done
% 281.55/281.97
% 281.55/281.97
% 281.55/281.97 Intermediate Status:
% 281.55/281.97 Generated: 748794
% 281.55/281.97 Kept: 229380
% 281.55/281.97 Inuse: 3130
% 281.55/281.97 Deleted: 3487
% 281.55/281.97 Deletedinuse: 73
% 281.55/281.97
% 281.55/281.97 Resimplifying inuse:
% 281.55/281.97 Done
% 281.55/281.97
% 281.55/281.97 Resimplifying inuse:
% 281.55/281.97 Done
% 281.55/281.97
% 281.55/281.97
% 281.55/281.97 Intermediate Status:
% 281.55/281.97 Generated: 753185
% 281.55/281.97 Kept: 231435
% 281.55/281.97 Inuse: 3165
% 281.55/281.97 Deleted: 3487
% 281.55/281.97 Deletedinuse: 73
% 281.55/281.97
% 281.55/281.97 Resimplifying inuse:
% 281.55/281.97 Done
% 281.55/281.97
% 281.55/281.97 Resimplifying inuse:
% 281.55/281.97 Done
% 281.55/281.97
% 281.55/281.97
% 281.55/281.97 Intermediate Status:
% 281.55/281.97 Generated: 759906
% 281.55/281.97 Kept: 233531
% 281.55/281.97 Inuse: 3185
% 281.55/281.97 Deleted: 3487
% 281.55/281.97 Deletedinuse: 73
% 281.55/281.97
% 281.55/281.97 Resimplifying inuse:
% 281.55/281.97 Done
% 281.55/281.97
% 281.55/281.97 Resimplifying inuse:
% 281.55/281.97 Done
% 281.55/281.97
% 281.55/281.97
% 281.55/281.97 Intermediate Status:
% 281.55/281.97 Generated: 766398
% 281.55/281.97 Kept: 235720
% 281.55/281.97 Inuse: 3210
% 281.55/281.97 Deleted: 3487
% 281.55/281.97 Deletedinuse: 73
% 281.55/281.97
% 281.55/281.97
% 281.55/281.97 Intermediate Status:
% 281.55/281.97 Generated: 778662
% 281.55/281.97 Kept: 238822
% 281.55/281.97 Inuse: 3225
% 281.55/281.97 Deleted: 3487
% 281.55/281.97 Deletedinuse: 73
% 281.55/281.97
% 281.55/281.97 Resimplifying inuse:
% 281.55/281.97 Done
% 281.55/281.97
% 281.55/281.97 Resimplifying inuse:
% 281.55/281.97 Done
% 281.55/281.97
% 281.55/281.97
% 281.55/281.97 Intermediate Status:
% 281.55/281.97 Generated: 786551
% 281.55/281.97 Kept: 241279
% 281.55/281.97 Inuse: 3250
% 281.55/281.97 Deleted: 3487
% 281.55/281.97 Deletedinuse: 73
% 281.55/281.97
% 281.55/281.97 Resimplifying inuse:
% 281.55/281.97 Done
% 281.55/281.97
% 281.55/281.97 Resimplifying inuse:
% 281.55/281.97 Done
% 281.55/281.97
% 281.55/281.97
% 281.55/281.97 Intermediate Status:
% 281.55/281.97 Generated: 792766
% 281.55/281.97 Kept: 243922
% 281.55/281.97 Inuse: 3270
% 281.55/281.97 Deleted: 3487
% 281.55/281.97 Deletedinuse: 73
% 281.55/281.97
% 281.55/281.97 Resimplifying inuse:
% 281.55/281.97 Done
% 281.55/281.97
% 281.55/281.97 Resimplifying inuse:
% 281.55/281.97 Done
% 281.55/281.97
% 281.55/281.97
% 281.55/281.97 Intermediate Status:
% 281.55/281.97 Generated: 796980
% 281.55/281.97 Kept: 245940
% 281.55/281.97 Inuse: 3280
% 281.55/281.97 Deleted: 3487
% 281.55/281.97 Deletedinuse: 73
% 281.55/281.97
% 281.55/281.97 Resimplifying inuse:
% 281.55/281.97 Done
% 281.55/281.97
% 281.55/281.97 Resimplifying inuse:
% 281.55/281.97 Done
% 281.55/281.97
% 281.55/281.97
% 281.55/281.97 Intermediate Status:
% 281.55/281.97 Generated: 801501
% 281.55/281.97 Kept: 248147
% 281.55/281.97 Inuse: 3290
% 281.55/281.97 Deleted: 3487
% 281.55/281.97 Deletedinuse: 73
% 281.55/281.97
% 281.55/281.97 Resimplifying inuse:
% 281.55/281.97 Done
% 281.55/281.97
% 281.55/281.97 Resimplifying clauses:
% 281.55/281.97 Done
% 281.55/281.97
% 281.55/281.97 Resimplifying inuse:
% 281.55/281.97 Done
% 281.55/281.97
% 281.55/281.97
% 281.55/281.97 Intermediate Status:
% 281.55/281.97 Generated: 806506
% 281.55/281.97 Kept: 250407
% 281.55/281.97 Inuse: 3300
% 281.55/281.97 Deleted: 3554
% 281.55/281.97 Deletedinuse: 73
% 281.55/281.97
% 281.55/281.97 Resimplifying inuse:
% 281.55/281.97 Done
% 281.55/281.97
% 281.55/281.97 *** allocated 9852435 integers for termspace/termends
% 281.55/281.97 Resimplifying inuse:
% 281.55/281.97 Done
% 281.55/281.97
% 281.55/281.97
% 281.55/281.97 Intermediate Status:
% 281.55/281.97 Generated: 812937
% 281.55/281.97 Kept: 252415
% 281.55/281.97 Inuse: 3320
% 281.55/281.97 Deleted: 3554
% 281.55/281.97 Deletedinuse: 73
% 281.55/281.97
% 281.55/281.97 Resimplifying inuse:
% 281.55/281.97 Done
% 281.55/281.97
% 281.55/281.97
% 281.55/281.97 Intermediate Status:
% 281.55/281.97 Generated: 822801
% 281.55/281.97 Kept: 254840
% 281.55/281.97 Inuse: 3330
% 281.55/281.97 Deleted: 3554
% 281.55/281.97 Deletedinuse: 73
% 281.55/281.97
% 281.55/281.97 Resimplifying inuse:
% 281.55/281.97 Done
% 281.55/281.97
% 281.55/281.97
% 281.55/281.97 Intermediate Status:
% 281.55/281.97 Generated: 831938
% 281.55/281.97 Kept: 256934
% 281.55/281.97 Inuse: 3335
% 281.55/281.97 Deleted: 3554
% 281.55/281.97 Deletedinuse: 73
% 281.55/281.97
% 281.55/281.97 Resimplifying inuse:
% 281.55/281.97 Done
% 281.55/281.97
% 281.55/281.97 Resimplifying inuse:
% 281.55/281.97 Done
% 281.55/281.97
% 281.55/281.97
% 281.55/281.97 Intermediate Status:
% 281.55/281.97 Generated: 839756
% 281.55/281.97 Kept: 259098
% 281.55/281.97 Inuse: Cputime limit exceeded (core dumped)
%------------------------------------------------------------------------------