TSTP Solution File: SWW191+1 by Bliksem---1.12
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- Process Solution
%------------------------------------------------------------------------------
% File : Bliksem---1.12
% Problem : SWW191+1 : TPTP v8.1.0. Released v5.2.0.
% Transfm : none
% Format : tptp:raw
% Command : bliksem %s
% Computer : n026.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 23:21:09 EDT 2022
% Result : Timeout 300.07s 300.42s
% Output : None
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----No solution output by system
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.04/0.12 % Problem : SWW191+1 : TPTP v8.1.0. Released v5.2.0.
% 0.04/0.13 % Command : bliksem %s
% 0.12/0.34 % Computer : n026.cluster.edu
% 0.12/0.34 % Model : x86_64 x86_64
% 0.12/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.34 % Memory : 8042.1875MB
% 0.12/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.34 % CPULimit : 300
% 0.12/0.34 % DateTime : Sat Jun 4 12:53:44 EDT 2022
% 0.12/0.34 % CPUTime :
% 0.94/1.54 *** allocated 10000 integers for termspace/termends
% 0.94/1.54 *** allocated 10000 integers for clauses
% 0.94/1.54 *** allocated 10000 integers for justifications
% 0.94/1.54 *** allocated 15000 integers for termspace/termends
% 0.94/1.54 *** allocated 22500 integers for termspace/termends
% 0.94/1.54 *** allocated 33750 integers for termspace/termends
% 0.94/1.54 Bliksem 1.12
% 0.94/1.54
% 0.94/1.54
% 0.94/1.54 Automatic Strategy Selection
% 0.94/1.54
% 0.94/1.54 *** allocated 50625 integers for termspace/termends
% 0.94/1.54 *** allocated 75937 integers for termspace/termends
% 0.94/1.54 *** allocated 113905 integers for termspace/termends
% 0.94/1.54
% 0.94/1.54 Clauses:
% 0.94/1.54
% 0.94/1.54 { ! hAPP( Y, skol1( X, Y ) ) = hAPP( X, skol1( X, Y ) ), Y = X }.
% 0.94/1.54 { ! hBOOL( hAPP( v_P, X ) ), c_Orderings_Oord__class_Oless__eq(
% 0.94/1.54 tc_RealDef_Oreal, X, v_y____ ) }.
% 0.94/1.54 { c_Orderings_Oord__class_Oless( tc_RealDef_Oreal, v_y____, v_L____ ) }.
% 0.94/1.54 { c_Orderings_Oord__class_Oless__eq( tc_RealDef_Oreal, v_L____, v_Y____ ) }
% 0.94/1.54 .
% 0.94/1.54 { ! hBOOL( hAPP( v_P, X ) ), c_Orderings_Oord__class_Oless__eq(
% 0.94/1.54 tc_RealDef_Oreal, X, v_L____ ) }.
% 0.94/1.54 { ! class_Orderings_Opreorder( X ), c_Orderings_Oord__class_Oless__eq( X, Y
% 0.94/1.54 , Y ) }.
% 0.94/1.54 { ! hBOOL( hAPP( v_P, X ) ), ! c_Orderings_Oord__class_Oless(
% 0.94/1.54 tc_RealDef_Oreal, v_y____, X ), c_Orderings_Oord__class_Oless(
% 0.94/1.54 tc_RealDef_Oreal, v_y____, v_L____ ) }.
% 0.94/1.54 { c_Orderings_Oord__class_Oless__eq( tc_RealDef_Oreal, X, X ) }.
% 0.94/1.54 { c_Orderings_Oord__class_Oless__eq( tc_RealDef_Oreal, Y, X ),
% 0.94/1.54 c_Orderings_Oord__class_Oless__eq( tc_RealDef_Oreal, X, Y ) }.
% 0.94/1.54 { ! c_Orderings_Oord__class_Oless__eq( tc_RealDef_Oreal, Y, X ), !
% 0.94/1.54 c_Orderings_Oord__class_Oless__eq( tc_RealDef_Oreal, X, Z ),
% 0.94/1.54 c_Orderings_Oord__class_Oless__eq( tc_RealDef_Oreal, Y, Z ) }.
% 0.94/1.54 { ! c_Orderings_Oord__class_Oless__eq( tc_RealDef_Oreal, Y, X ), !
% 0.94/1.54 c_Orderings_Oord__class_Oless__eq( tc_RealDef_Oreal, X, Y ), Y = X }.
% 0.94/1.54 { ! hBOOL( hAPP( v_P, X ) ), ! c_Orderings_Oord__class_Oless(
% 0.94/1.54 tc_RealDef_Oreal, v_y____, X ) }.
% 0.94/1.54 { ! class_Orderings_Oord( X ), ! c_Orderings_Oord__class_Oless__eq( tc_fun
% 0.94/1.54 ( T, X ), Z, Y ), c_Orderings_Oord__class_Oless__eq( X, hAPP( Z, U ),
% 0.94/1.54 hAPP( Y, U ) ) }.
% 0.94/1.54 { ! class_Orderings_Oord( X ), ! c_Orderings_Oord__class_Oless__eq( X, hAPP
% 0.94/1.54 ( Z, skol2( X, Y, Z ) ), hAPP( Y, skol2( X, Y, Z ) ) ),
% 0.94/1.54 c_Orderings_Oord__class_Oless__eq( tc_fun( T, X ), Z, Y ) }.
% 0.94/1.54 { ! class_Orderings_Olinorder( X ), c_Orderings_Oord__class_Oless__eq( X, Z
% 0.94/1.54 , Y ), c_Orderings_Oord__class_Oless__eq( X, Y, Z ) }.
% 0.94/1.54 { ! class_Orderings_Oorder( X ), ! Z = Y, c_Orderings_Oord__class_Oless__eq
% 0.94/1.54 ( X, Z, Y ) }.
% 0.94/1.54 { ! class_Orderings_Oorder( X ), ! Z = Y, c_Orderings_Oord__class_Oless__eq
% 0.94/1.54 ( X, Y, Z ) }.
% 0.94/1.54 { ! class_Orderings_Oorder( X ), ! c_Orderings_Oord__class_Oless__eq( X, Z
% 0.94/1.54 , Y ), ! c_Orderings_Oord__class_Oless__eq( X, Y, Z ), Z = Y }.
% 0.94/1.54 { ! class_Orderings_Opreorder( X ), ! Z = Y,
% 0.94/1.54 c_Orderings_Oord__class_Oless__eq( X, Z, Y ) }.
% 0.94/1.54 { hBOOL( hAPP( v_P, v_x____ ) ) }.
% 0.94/1.54 { hBOOL( hAPP( v_P, skol3 ) ) }.
% 0.94/1.54 { ! hBOOL( hAPP( v_P, X ) ), c_Orderings_Oord__class_Oless__eq(
% 0.94/1.54 tc_RealDef_Oreal, X, v_Y____ ) }.
% 0.94/1.54 { ! hBOOL( hAPP( v_P, X ) ), c_Orderings_Oord__class_Oless(
% 0.94/1.54 tc_RealDef_Oreal, X, v_Y____ ) }.
% 0.94/1.54 { ! hBOOL( hAPP( v_P, X ) ), c_Orderings_Oord__class_Oless(
% 0.94/1.54 tc_RealDef_Oreal, X, skol4 ) }.
% 0.94/1.54 { c_Orderings_Oord__class_Oless( tc_RealDef_Oreal, v_x____, v_Y____ ) }.
% 0.94/1.54 { ! class_Orderings_Opreorder( X ), ! c_Orderings_Oord__class_Oless( X, Y,
% 0.94/1.54 Y ) }.
% 0.94/1.54 { ! class_Orderings_Olinorder( X ), Z = Y, c_Orderings_Oord__class_Oless( X
% 0.94/1.54 , Z, Y ), c_Orderings_Oord__class_Oless( X, Y, Z ) }.
% 0.94/1.54 { ! class_Orderings_Olinorder( X ), ! c_Orderings_Oord__class_Oless( X, Z,
% 0.94/1.54 Y ), ! Z = Y }.
% 0.94/1.54 { ! class_Orderings_Olinorder( X ), ! c_Orderings_Oord__class_Oless( X, Y,
% 0.94/1.54 Z ), ! Z = Y }.
% 0.94/1.54 { ! class_Orderings_Olinorder( X ), c_Orderings_Oord__class_Oless( X, Z, Y
% 0.94/1.54 ), c_Orderings_Oord__class_Oless( X, Y, Z ), Z = Y }.
% 0.94/1.54 { ! class_Orderings_Olinorder( X ), ! c_Orderings_Oord__class_Oless( X, Y,
% 0.94/1.54 Z ), ! c_Orderings_Oord__class_Oless( X, Z, Y ) }.
% 0.94/1.54 { ! class_Orderings_Olinorder( X ), ! Z = Y, !
% 0.94/1.54 c_Orderings_Oord__class_Oless( X, Z, Y ) }.
% 0.94/1.54 { ! class_Orderings_Olinorder( X ), c_Orderings_Oord__class_Oless( X, Z, Y
% 0.94/1.54 ), Z = Y, c_Orderings_Oord__class_Oless( X, Y, Z ) }.
% 0.94/1.54 { ! class_Orderings_Olinorder( X ), c_Orderings_Oord__class_Oless( X, Z, Y
% 0.94/1.54 ), c_Orderings_Oord__class_Oless( X, Y, Z ), Y = Z }.
% 0.94/1.54 { ! class_Orderings_Olinorder( X ), c_Orderings_Oord__class_Oless( X, Z, Y
% 0.94/1.54 ), ! Y = Z, ! c_Orderings_Oord__class_Oless( X, Y, Z ) }.
% 0.94/1.54 { ! class_Orderings_Olinorder( X ), Z = Y, c_Orderings_Oord__class_Oless( X
% 0.94/1.54 , Z, Y ), c_Orderings_Oord__class_Oless( X, Y, Z ) }.
% 0.94/1.54 { ! class_Orderings_Oorder( X ), ! c_Orderings_Oord__class_Oless( X, Z, Y )
% 0.94/1.54 , ! Z = Y }.
% 0.94/1.54 { ! class_Orderings_Opreorder( X ), ! c_Orderings_Oord__class_Oless( X, Z,
% 0.94/1.54 Y ), ! c_Orderings_Oord__class_Oless( X, Y, Z ) }.
% 0.94/1.54 { ! class_Orderings_Opreorder( X ), ! c_Orderings_Oord__class_Oless( X, Z,
% 0.94/1.54 Y ), ! c_Orderings_Oord__class_Oless( X, Y, Z ) }.
% 0.94/1.54 { ! class_Orderings_Oorder( X ), ! c_Orderings_Oord__class_Oless( X, Z, Y )
% 0.94/1.54 , ! Z = Y }.
% 0.94/1.54 { ! class_Orderings_Oorder( X ), ! c_Orderings_Oord__class_Oless( X, Z, Y )
% 0.94/1.54 , ! Y = Z }.
% 0.94/1.54 { ! class_Orderings_Opreorder( X ), ! c_Orderings_Oord__class_Oless( X, Z,
% 0.94/1.54 Y ), ! c_Orderings_Oord__class_Oless( X, Y, Z ) }.
% 0.94/1.54 { ! class_Orderings_Oorder( X ), ! c_Orderings_Oord__class_Oless( X, Z, Y )
% 0.94/1.54 , ! c_Orderings_Oord__class_Oless( X, Y, Z ) }.
% 0.94/1.54 { ! class_Orderings_Oord( X ), ! Z = Y, ! c_Orderings_Oord__class_Oless( X
% 0.94/1.54 , Y, T ), c_Orderings_Oord__class_Oless( X, Z, T ) }.
% 0.94/1.54 { ! class_Orderings_Oorder( X ), ! Z = Y, ! c_Orderings_Oord__class_Oless(
% 0.94/1.54 X, T, Y ), c_Orderings_Oord__class_Oless( X, T, Z ) }.
% 0.94/1.54 { ! class_Orderings_Oord( X ), ! c_Orderings_Oord__class_Oless( X, Z, Y ),
% 0.94/1.54 ! Y = T, c_Orderings_Oord__class_Oless( X, Z, T ) }.
% 0.94/1.54 { ! class_Orderings_Oorder( X ), ! c_Orderings_Oord__class_Oless( X, Z, Y )
% 0.94/1.54 , ! Z = T, c_Orderings_Oord__class_Oless( X, T, Y ) }.
% 0.94/1.54 { ! class_Orderings_Opreorder( X ), ! c_Orderings_Oord__class_Oless( X, Z,
% 0.94/1.54 Y ), ! c_Orderings_Oord__class_Oless( X, Y, T ),
% 0.94/1.54 c_Orderings_Oord__class_Oless( X, Z, T ) }.
% 0.94/1.54 { ! class_Orderings_Oorder( X ), ! c_Orderings_Oord__class_Oless( X, Z, Y )
% 0.94/1.54 , ! c_Orderings_Oord__class_Oless( X, T, Z ),
% 0.94/1.54 c_Orderings_Oord__class_Oless( X, T, Y ) }.
% 0.94/1.54 { ! class_Orderings_Opreorder( X ), ! c_Orderings_Oord__class_Oless( X, Z,
% 0.94/1.54 Y ), ! c_Orderings_Oord__class_Oless( X, Y, Z ) }.
% 0.94/1.54 { ! class_Orderings_Olinorder( X ), c_Orderings_Oord__class_Oless( X, Z, Y
% 0.94/1.54 ), Z = Y, c_Orderings_Oord__class_Oless( X, Y, Z ) }.
% 0.94/1.54 { ! class_Orderings_Oorder( X ), ! c_Orderings_Oord__class_Oless__eq( X, Z
% 0.94/1.54 , Y ), ! c_Orderings_Oord__class_Oless( X, T, Z ),
% 0.94/1.54 c_Orderings_Oord__class_Oless( X, T, Y ) }.
% 0.94/1.54 { ! class_Orderings_Opreorder( X ), ! c_Orderings_Oord__class_Oless__eq( X
% 0.94/1.54 , Z, Y ), ! c_Orderings_Oord__class_Oless( X, Y, T ),
% 0.94/1.54 c_Orderings_Oord__class_Oless( X, Z, T ) }.
% 0.94/1.54 { ! class_Orderings_Oorder( X ), ! c_Orderings_Oord__class_Oless( X, Z, Y )
% 0.94/1.54 , ! c_Orderings_Oord__class_Oless__eq( X, T, Z ),
% 0.94/1.54 c_Orderings_Oord__class_Oless( X, T, Y ) }.
% 0.94/1.54 { ! class_Orderings_Opreorder( X ), ! c_Orderings_Oord__class_Oless( X, Z,
% 0.94/1.54 Y ), ! c_Orderings_Oord__class_Oless__eq( X, Y, T ),
% 0.94/1.54 c_Orderings_Oord__class_Oless( X, Z, T ) }.
% 0.94/1.54 { ! class_Orderings_Oorder( X ), ! c_Orderings_Oord__class_Oless__eq( X, Z
% 0.94/1.54 , Y ), Y = Z, c_Orderings_Oord__class_Oless( X, Z, Y ) }.
% 0.94/1.54 { ! class_Orderings_Oorder( X ), ! c_Orderings_Oord__class_Oless__eq( X, Z
% 0.94/1.54 , Y ), Z = Y, c_Orderings_Oord__class_Oless( X, Z, Y ) }.
% 0.94/1.54 { ! class_Orderings_Oorder( X ), ! c_Orderings_Oord__class_Oless__eq( X, Z
% 0.94/1.54 , Y ), c_Orderings_Oord__class_Oless( X, Z, Y ), Z = Y }.
% 0.94/1.54 { ! class_Orderings_Olinorder( X ), ! c_Orderings_Oord__class_Oless__eq( X
% 0.94/1.54 , Z, Y ), c_Orderings_Oord__class_Oless( X, Z, Y ), Z = Y }.
% 0.94/1.54 { ! class_Orderings_Olinorder( X ), ! c_Orderings_Oord__class_Oless__eq( X
% 0.94/1.54 , Z, Y ), ! Z = Y, ! c_Orderings_Oord__class_Oless( X, Z, Y ) }.
% 0.94/1.54 { ! class_Orderings_Opreorder( X ), ! c_Orderings_Oord__class_Oless( X, Z,
% 0.94/1.54 Y ), c_Orderings_Oord__class_Oless__eq( X, Z, Y ) }.
% 0.94/1.54 { ! class_Orderings_Olinorder( X ), ! c_Orderings_Oord__class_Oless__eq( X
% 0.94/1.54 , Z, Y ), ! c_Orderings_Oord__class_Oless( X, Y, Z ) }.
% 0.94/1.54 { ! class_Orderings_Oorder( X ), Z = Y, ! c_Orderings_Oord__class_Oless__eq
% 0.94/1.54 ( X, Y, Z ), c_Orderings_Oord__class_Oless( X, Y, Z ) }.
% 0.94/1.54 { ! class_Orderings_Oorder( X ), Z = Y, ! c_Orderings_Oord__class_Oless__eq
% 0.94/1.54 ( X, Z, Y ), c_Orderings_Oord__class_Oless( X, Z, Y ) }.
% 0.94/1.54 { ! class_Orderings_Olinorder( X ), c_Orderings_Oord__class_Oless( X, Z, Y
% 0.94/1.54 ), ! c_Orderings_Oord__class_Oless__eq( X, Z, Y ), Z = Y }.
% 0.94/1.54 { ! class_Orderings_Olinorder( X ), c_Orderings_Oord__class_Oless( X, Z, Y
% 0.94/1.54 ), ! Z = Y, c_Orderings_Oord__class_Oless__eq( X, Z, Y ) }.
% 0.94/1.54 { ! class_Orderings_Olinorder( X ), c_Orderings_Oord__class_Oless__eq( X, Z
% 0.94/1.54 , Y ), c_Orderings_Oord__class_Oless( X, Y, Z ) }.
% 0.94/1.54 { ! class_Orderings_Olinorder( X ), c_Orderings_Oord__class_Oless( X, Z, Y
% 0.94/1.54 ), c_Orderings_Oord__class_Oless__eq( X, Y, Z ) }.
% 0.94/1.54 { ! class_Orderings_Oorder( X ), ! c_Orderings_Oord__class_Oless__eq( X, Z
% 0.94/1.54 , Y ), c_Orderings_Oord__class_Oless( X, Z, Y ), Z = Y }.
% 0.94/1.54 { ! class_Orderings_Oorder( X ), ! c_Orderings_Oord__class_Oless( X, Z, Y )
% 0.94/1.54 , c_Orderings_Oord__class_Oless__eq( X, Z, Y ) }.
% 0.94/1.54 { ! class_Orderings_Oorder( X ), ! Z = Y, c_Orderings_Oord__class_Oless__eq
% 0.94/1.54 ( X, Z, Y ) }.
% 0.94/1.54 { ! class_Orderings_Opreorder( X ), ! c_Orderings_Oord__class_Oless( X, Z,
% 0.94/1.54 Y ), c_Orderings_Oord__class_Oless__eq( X, Z, Y ) }.
% 0.94/1.54 { ! class_Orderings_Opreorder( X ), ! c_Orderings_Oord__class_Oless( X, Z,
% 0.94/1.54 Y ), ! c_Orderings_Oord__class_Oless__eq( X, Y, Z ) }.
% 0.94/1.54 { ! class_Orderings_Opreorder( X ), ! c_Orderings_Oord__class_Oless__eq( X
% 0.94/1.54 , Z, Y ), c_Orderings_Oord__class_Oless__eq( X, Y, Z ),
% 0.94/1.54 c_Orderings_Oord__class_Oless( X, Z, Y ) }.
% 0.94/1.54 { ! class_Orderings_Oorder( X ), ! c_Orderings_Oord__class_Oless( X, Z, Y )
% 0.94/1.54 , c_Orderings_Oord__class_Oless__eq( X, Z, Y ) }.
% 0.94/1.54 { ! class_Orderings_Oorder( X ), ! c_Orderings_Oord__class_Oless( X, Z, Y )
% 0.94/1.54 , ! Z = Y }.
% 0.94/1.54 { ! class_Orderings_Oorder( X ), ! c_Orderings_Oord__class_Oless__eq( X, Z
% 0.94/1.54 , Y ), Z = Y, c_Orderings_Oord__class_Oless( X, Z, Y ) }.
% 0.94/1.54 { ! class_Orderings_Olinorder( X ), c_Orderings_Oord__class_Oless__eq( X, Z
% 0.94/1.54 , Y ), c_Orderings_Oord__class_Oless( X, Y, Z ) }.
% 0.94/1.54 { ! class_Orderings_Olinorder( X ), c_Orderings_Oord__class_Oless__eq( X, Z
% 0.94/1.54 , Y ), c_Orderings_Oord__class_Oless( X, Y, Z ) }.
% 0.94/1.54 { ! class_Orderings_Olinorder( X ), ! c_Orderings_Oord__class_Oless( X, Y,
% 0.94/1.54 Z ), ! c_Orderings_Oord__class_Oless__eq( X, Z, Y ) }.
% 0.94/1.54 { ! class_Orderings_Olinorder( X ), c_Orderings_Oord__class_Oless( X, Z, Y
% 0.94/1.54 ), c_Orderings_Oord__class_Oless__eq( X, Y, Z ) }.
% 0.94/1.54 { ! class_Orderings_Olinorder( X ), ! c_Orderings_Oord__class_Oless__eq( X
% 0.94/1.54 , Y, Z ), ! c_Orderings_Oord__class_Oless( X, Z, Y ) }.
% 0.94/1.54 { ! c_Orderings_Oord__class_Oless__eq( tc_RealDef_Oreal, Y, X ),
% 0.94/1.54 c_Orderings_Oord__class_Oless( tc_RealDef_Oreal, Y, X ), Y = X }.
% 0.94/1.54 { ! c_Orderings_Oord__class_Oless( tc_RealDef_Oreal, Y, X ),
% 0.94/1.54 c_Orderings_Oord__class_Oless__eq( tc_RealDef_Oreal, Y, X ) }.
% 0.94/1.54 { ! Y = X, c_Orderings_Oord__class_Oless__eq( tc_RealDef_Oreal, Y, X ) }.
% 0.94/1.54 { ! c_Orderings_Oord__class_Oless( tc_RealDef_Oreal, Y, X ),
% 0.94/1.54 c_Orderings_Oord__class_Oless__eq( tc_RealDef_Oreal, Y, X ) }.
% 0.94/1.54 { ! c_Orderings_Oord__class_Oless( tc_RealDef_Oreal, Y, X ), ! Y = X }.
% 0.94/1.54 { ! c_Orderings_Oord__class_Oless__eq( tc_RealDef_Oreal, Y, X ), Y = X,
% 0.94/1.54 c_Orderings_Oord__class_Oless( tc_RealDef_Oreal, Y, X ) }.
% 0.94/1.54 { ! class_Orderings_Olinorder( X ), c_Orderings_Oord__class_Oless__eq( X, Z
% 0.94/1.54 , Y ), c_Orderings_Oord__class_Oless__eq( X, Y, Z ) }.
% 0.94/1.54 { ! class_Orderings_Oord( X ), ! c_Orderings_Oord__class_Oless__eq( tc_fun
% 0.94/1.54 ( T, X ), Z, Y ), c_Orderings_Oord__class_Oless__eq( X, hAPP( Z, U ),
% 0.94/1.54 hAPP( Y, U ) ) }.
% 0.94/1.54 { ! class_Orderings_Oorder( X ), ! c_Orderings_Oord__class_Oless__eq( X, Z
% 0.94/1.54 , Y ), ! c_Orderings_Oord__class_Oless__eq( X, T, Z ),
% 0.94/1.54 c_Orderings_Oord__class_Oless__eq( X, T, Y ) }.
% 0.94/1.54 { ! class_Orderings_Oorder( X ), ! c_Orderings_Oord__class_Oless__eq( X, Z
% 0.94/1.54 , Y ), ! c_Orderings_Oord__class_Oless__eq( X, Y, Z ), Y = Z }.
% 0.94/1.54 { ! class_Orderings_Opreorder( X ), ! c_Orderings_Oord__class_Oless__eq( X
% 0.94/1.54 , Z, Y ), ! c_Orderings_Oord__class_Oless__eq( X, Y, T ),
% 0.94/1.54 c_Orderings_Oord__class_Oless__eq( X, Z, T ) }.
% 0.94/1.54 { ! class_Orderings_Oorder( X ), ! c_Orderings_Oord__class_Oless__eq( X, Z
% 0.94/1.54 , Y ), ! c_Orderings_Oord__class_Oless__eq( X, Y, Z ), Z = Y }.
% 0.94/1.54 { ! class_Orderings_Oorder( X ), ! c_Orderings_Oord__class_Oless__eq( X, Z
% 0.94/1.54 , Y ), ! Z = T, c_Orderings_Oord__class_Oless__eq( X, T, Y ) }.
% 0.94/1.54 { ! class_Orderings_Oord( X ), ! c_Orderings_Oord__class_Oless__eq( X, Z, Y
% 0.94/1.54 ), ! Y = T, c_Orderings_Oord__class_Oless__eq( X, Z, T ) }.
% 0.94/1.54 { ! class_Orderings_Oorder( X ), ! Z = Y, !
% 0.94/1.54 c_Orderings_Oord__class_Oless__eq( X, T, Y ),
% 0.94/1.54 c_Orderings_Oord__class_Oless__eq( X, T, Z ) }.
% 0.94/1.54 { ! class_Orderings_Oord( X ), ! Z = Y, ! c_Orderings_Oord__class_Oless__eq
% 0.94/1.54 ( X, Y, T ), c_Orderings_Oord__class_Oless__eq( X, Z, T ) }.
% 0.94/1.54 { ! class_Orderings_Oorder( X ), ! c_Orderings_Oord__class_Oless__eq( X, Z
% 0.94/1.54 , Y ), ! c_Orderings_Oord__class_Oless__eq( X, Y, Z ), Y = Z }.
% 0.94/1.54 { ! class_Orderings_Oorder( X ), ! c_Orderings_Oord__class_Oless__eq( X, Z
% 0.94/1.54 , Y ), ! Y = Z, c_Orderings_Oord__class_Oless__eq( X, Y, Z ) }.
% 0.94/1.54 { ! class_Orderings_Oord( X ), ! c_Orderings_Oord__class_Oless__eq( tc_fun
% 0.94/1.54 ( T, X ), Z, Y ), c_Orderings_Oord__class_Oless__eq( X, hAPP( Z, U ),
% 0.94/1.54 hAPP( Y, U ) ) }.
% 0.94/1.54 { c_Lubs_OisLub( tc_RealDef_Oreal, c_Orderings_Otop__class_Otop( tc_fun(
% 0.94/1.54 tc_RealDef_Oreal, tc_HOL_Obool ) ), c_Set_OCollect( tc_RealDef_Oreal, v_P
% 0.94/1.54 ), v_L____ ) }.
% 0.94/1.54 { ! class_Rings_Olinordered__idom( X ), Z = Y,
% 0.94/1.54 c_Orderings_Oord__class_Oless( X, Z, Y ), c_Orderings_Oord__class_Oless(
% 0.94/1.54 X, Y, Z ) }.
% 0.94/1.54 { hBOOL( hAPP( v_P, skol5 ) ) }.
% 0.94/1.54 { ! hBOOL( hAPP( v_P, X ) ), c_Orderings_Oord__class_Oless(
% 0.94/1.54 tc_RealDef_Oreal, X, skol79 ) }.
% 0.94/1.54 { ! class_Orderings_Oord( X ), ! c_Orderings_Oord__class_Oless__eq( X, hAPP
% 0.94/1.54 ( Z, skol6( X, Y, Z ) ), hAPP( Y, skol6( X, Y, Z ) ) ),
% 0.94/1.54 c_Orderings_Oord__class_Oless__eq( tc_fun( T, X ), Z, Y ) }.
% 0.94/1.54 { ! class_Orderings_Odense__linorder( X ), c_Orderings_Oord__class_Oless( X
% 0.94/1.54 , skol7( X, T, Z ), Z ), c_Orderings_Oord__class_Oless__eq( X, Z, Y ) }.
% 0.94/1.54 { ! class_Orderings_Odense__linorder( X ), !
% 0.94/1.54 c_Orderings_Oord__class_Oless__eq( X, skol7( X, Y, Z ), Y ),
% 0.94/1.54 c_Orderings_Oord__class_Oless__eq( X, Z, Y ) }.
% 0.94/1.54 { ! class_Orderings_Odense__linorder( X ), ! c_Orderings_Oord__class_Oless
% 0.94/1.54 ( X, Z, Y ), c_Orderings_Oord__class_Oless( X, Z, skol8( X, U, Z, W ) ),
% 0.94/1.54 c_Orderings_Oord__class_Oless__eq( X, Y, T ) }.
% 0.94/1.54 { ! class_Orderings_Odense__linorder( X ), ! c_Orderings_Oord__class_Oless
% 0.94/1.54 ( X, Z, Y ), ! c_Orderings_Oord__class_Oless__eq( X, skol8( X, U, Z, T )
% 0.94/1.54 , T ), c_Orderings_Oord__class_Oless__eq( X, Y, T ) }.
% 0.94/1.54 { ! class_Orderings_Odense__linorder( X ), ! c_Orderings_Oord__class_Oless
% 0.94/1.54 ( X, Z, Y ), c_Orderings_Oord__class_Oless( X, skol8( X, Y, Z, T ), Y ),
% 0.94/1.54 c_Orderings_Oord__class_Oless__eq( X, Y, T ) }.
% 0.94/1.54 { ! class_Orderings_Oorder( Y ), ! class_Orderings_Oorder( X ), !
% 0.94/1.54 c_Orderings_Oord__class_Oless( X, T, Z ), !
% 0.94/1.54 c_Orderings_Oord__class_Oless__eq( Y, W, hAPP( U, T ) ),
% 0.94/1.54 c_Orderings_Oord__class_Oless( X, skol80( X, Y, U ), skol9( X, Y, U ) ),
% 0.94/1.54 c_Orderings_Oord__class_Oless( Y, W, hAPP( U, Z ) ) }.
% 0.94/1.54 { ! class_Orderings_Oorder( Y ), ! class_Orderings_Oorder( X ), !
% 0.94/1.54 c_Orderings_Oord__class_Oless( X, T, Z ), !
% 0.94/1.54 c_Orderings_Oord__class_Oless__eq( Y, W, hAPP( U, T ) ), !
% 0.94/1.54 c_Orderings_Oord__class_Oless( Y, hAPP( U, skol80( X, Y, U ) ), hAPP( U,
% 0.94/1.54 skol9( X, Y, U ) ) ), c_Orderings_Oord__class_Oless( Y, W, hAPP( U, Z ) )
% 0.94/1.54 }.
% 0.94/1.54 { ! class_Orderings_Oorder( Y ), ! class_Orderings_Oorder( X ), !
% 0.94/1.54 c_Orderings_Oord__class_Oless__eq( X, T, Z ), !
% 0.94/1.54 c_Orderings_Oord__class_Oless( Y, W, hAPP( U, T ) ),
% 0.94/1.54 c_Orderings_Oord__class_Oless__eq( X, skol81( X, Y, U ), skol10( X, Y, U
% 0.94/1.54 ) ), c_Orderings_Oord__class_Oless( Y, W, hAPP( U, Z ) ) }.
% 0.94/1.54 { ! class_Orderings_Oorder( Y ), ! class_Orderings_Oorder( X ), !
% 0.94/1.54 c_Orderings_Oord__class_Oless__eq( X, T, Z ), !
% 0.94/1.54 c_Orderings_Oord__class_Oless( Y, W, hAPP( U, T ) ), !
% 0.94/1.54 c_Orderings_Oord__class_Oless__eq( Y, hAPP( U, skol81( X, Y, U ) ), hAPP
% 0.94/1.54 ( U, skol10( X, Y, U ) ) ), c_Orderings_Oord__class_Oless( Y, W, hAPP( U
% 0.94/1.54 , Z ) ) }.
% 0.94/1.54 { ! class_Orderings_Oorder( Y ), ! class_Orderings_Oorder( X ), !
% 0.94/1.54 c_Orderings_Oord__class_Oless( Y, T, Z ), !
% 0.94/1.54 c_Orderings_Oord__class_Oless__eq( X, hAPP( W, Z ), U ),
% 0.94/1.54 c_Orderings_Oord__class_Oless( Y, skol11( X, Y, W ), skol82( X, Y, W ) )
% 0.94/1.54 , c_Orderings_Oord__class_Oless( X, hAPP( W, T ), U ) }.
% 0.94/1.54 { ! class_Orderings_Oorder( Y ), ! class_Orderings_Oorder( X ), !
% 0.94/1.54 c_Orderings_Oord__class_Oless( Y, T, Z ), !
% 0.94/1.54 c_Orderings_Oord__class_Oless__eq( X, hAPP( W, Z ), U ), !
% 0.94/1.54 c_Orderings_Oord__class_Oless( X, hAPP( W, skol11( X, Y, W ) ), hAPP( W,
% 0.94/1.54 skol82( X, Y, W ) ) ), c_Orderings_Oord__class_Oless( X, hAPP( W, T ), U
% 0.94/1.54 ) }.
% 0.94/1.54 { ! class_Orderings_Oorder( Y ), ! class_Orderings_Oorder( X ), !
% 0.94/1.54 c_Orderings_Oord__class_Oless__eq( Y, T, Z ), !
% 0.94/1.54 c_Orderings_Oord__class_Oless( X, hAPP( W, Z ), U ),
% 0.94/1.54 c_Orderings_Oord__class_Oless__eq( Y, skol12( X, Y, W ), skol83( X, Y, W
% 0.94/1.54 ) ), c_Orderings_Oord__class_Oless( X, hAPP( W, T ), U ) }.
% 0.94/1.54 { ! class_Orderings_Oorder( Y ), ! class_Orderings_Oorder( X ), !
% 0.94/1.54 c_Orderings_Oord__class_Oless__eq( Y, T, Z ), !
% 0.94/1.54 c_Orderings_Oord__class_Oless( X, hAPP( W, Z ), U ), !
% 0.94/1.54 c_Orderings_Oord__class_Oless__eq( X, hAPP( W, skol12( X, Y, W ) ), hAPP
% 0.94/1.54 ( W, skol83( X, Y, W ) ) ), c_Orderings_Oord__class_Oless( X, hAPP( W, T
% 0.94/1.54 ), U ) }.
% 0.94/1.54 { ! class_Orderings_Oorder( Y ), ! class_Orderings_Oorder( X ), !
% 0.94/1.54 c_Orderings_Oord__class_Oless( Y, U, hAPP( T, Z ) ), !
% 0.94/1.54 c_Orderings_Oord__class_Oless__eq( X, Z, W ),
% 0.94/1.54 c_Orderings_Oord__class_Oless__eq( X, skol13( X, Y, T ), skol84( X, Y, T
% 0.94/1.54 ) ), c_Orderings_Oord__class_Oless( Y, U, hAPP( T, W ) ) }.
% 0.94/1.54 { ! class_Orderings_Oorder( Y ), ! class_Orderings_Oorder( X ), !
% 0.94/1.54 c_Orderings_Oord__class_Oless( Y, U, hAPP( T, Z ) ), !
% 0.94/1.54 c_Orderings_Oord__class_Oless__eq( X, Z, W ), !
% 0.94/1.54 c_Orderings_Oord__class_Oless__eq( Y, hAPP( T, skol13( X, Y, T ) ), hAPP
% 0.94/1.54 ( T, skol84( X, Y, T ) ) ), c_Orderings_Oord__class_Oless( Y, U, hAPP( T
% 0.94/1.54 , W ) ) }.
% 0.94/1.54 { ! class_Orderings_Oorder( Y ), ! class_Orderings_Oorder( X ), !
% 0.94/1.54 c_Orderings_Oord__class_Oless__eq( Y, U, hAPP( T, Z ) ), !
% 0.94/1.54 c_Orderings_Oord__class_Oless( X, Z, W ), c_Orderings_Oord__class_Oless(
% 0.94/1.54 X, skol14( X, Y, T ), skol85( X, Y, T ) ), c_Orderings_Oord__class_Oless
% 0.94/1.54 ( Y, U, hAPP( T, W ) ) }.
% 0.94/1.54 { ! class_Orderings_Oorder( Y ), ! class_Orderings_Oorder( X ), !
% 0.94/1.54 c_Orderings_Oord__class_Oless__eq( Y, U, hAPP( T, Z ) ), !
% 0.94/1.54 c_Orderings_Oord__class_Oless( X, Z, W ), ! c_Orderings_Oord__class_Oless
% 0.94/1.54 ( Y, hAPP( T, skol14( X, Y, T ) ), hAPP( T, skol85( X, Y, T ) ) ),
% 0.94/1.54 c_Orderings_Oord__class_Oless( Y, U, hAPP( T, W ) ) }.
% 0.94/1.54 { ! class_Orderings_Otop( X ), hAPP( c_Orderings_Otop__class_Otop( tc_fun(
% 0.94/1.54 Z, X ) ), Y ) = c_Orderings_Otop__class_Otop( X ) }.
% 0.94/1.54 { ! class_Orderings_Oord( X ), ! c_Orderings_Oord__class_Oless( tc_fun( T,
% 0.94/1.54 X ), Z, Y ), c_Orderings_Oord__class_Oless__eq( tc_fun( T, X ), Z, Y ) }
% 0.94/1.54 .
% 0.94/1.54 { ! class_Orderings_Oord( X ), ! c_Orderings_Oord__class_Oless( tc_fun( T,
% 0.94/1.54 X ), Z, Y ), ! c_Orderings_Oord__class_Oless__eq( tc_fun( T, X ), Y, Z )
% 0.94/1.54 }.
% 0.94/1.54 { ! class_Orderings_Oord( X ), ! c_Orderings_Oord__class_Oless__eq( tc_fun
% 0.94/1.54 ( T, X ), Z, Y ), c_Orderings_Oord__class_Oless__eq( tc_fun( T, X ), Y, Z
% 0.94/1.54 ), c_Orderings_Oord__class_Oless( tc_fun( T, X ), Z, Y ) }.
% 0.94/1.54 { ! class_Orderings_Otop( X ), c_Orderings_Oord__class_Oless__eq( X, Y,
% 0.94/1.54 c_Orderings_Otop__class_Otop( X ) ) }.
% 0.94/1.54 { c_Lubs_OisLub( tc_RealDef_Oreal, c_Orderings_Otop__class_Otop( tc_fun(
% 0.94/1.54 tc_RealDef_Oreal, tc_HOL_Obool ) ), c_Set_OCollect( tc_RealDef_Oreal, v_P
% 0.94/1.54 ), skol15 ) }.
% 0.94/1.54 { c_Lubs_OisLub( tc_RealDef_Oreal, c_Orderings_Otop__class_Otop( tc_fun(
% 0.94/1.54 tc_RealDef_Oreal, tc_HOL_Obool ) ), c_Set_OCollect( tc_RealDef_Oreal, v_P
% 0.94/1.54 ), skol16 ) }.
% 0.94/1.54 { hBOOL( hAPP( c_Orderings_Otop__class_Otop( tc_fun( Y, tc_HOL_Obool ) ), X
% 0.94/1.54 ) ) }.
% 0.94/1.54 { hBOOL( hAPP( c_Lubs_OisUb( tc_RealDef_Oreal, c_Orderings_Otop__class_Otop
% 0.94/1.54 ( tc_fun( tc_RealDef_Oreal, tc_HOL_Obool ) ), c_Set_OCollect(
% 0.94/1.54 tc_RealDef_Oreal, v_P ) ), skol17 ) ) }.
% 0.94/1.54 { ! c_Lubs_OisLub( tc_RealDef_Oreal, Z, Y, X ), ! c_Lubs_OisLub(
% 0.94/1.54 tc_RealDef_Oreal, Z, Y, T ), X = T }.
% 0.94/1.54 { c_Orderings_Oord__class_Oless__eq( tc_fun( Y, tc_HOL_Obool ), X,
% 0.94/1.54 c_Orderings_Otop__class_Otop( tc_fun( Y, tc_HOL_Obool ) ) ) }.
% 0.94/1.54 { c_Set_OCollect( Y, X ) = X }.
% 0.94/1.54 { c_member( tc_RealDef_Oreal, skol18, c_Set_OCollect( tc_RealDef_Oreal, v_P
% 0.94/1.54 ) ) }.
% 0.94/1.54 { ! class_Orderings_Oord( Y ), ! class_Orderings_Oorder( X ), !
% 0.94/1.54 c_Orderings_Oord__class_Oless__eq( X, hAPP( U, T ), Z ), !
% 0.94/1.54 c_Orderings_Oord__class_Oless( Y, W, T ), c_Orderings_Oord__class_Oless(
% 0.94/1.54 Y, skol86( X, Y, U ), skol19( X, Y, U ) ), c_Orderings_Oord__class_Oless
% 0.94/1.54 ( X, hAPP( U, W ), Z ) }.
% 0.94/1.54 { ! class_Orderings_Oord( Y ), ! class_Orderings_Oorder( X ), !
% 0.94/1.54 c_Orderings_Oord__class_Oless__eq( X, hAPP( U, T ), Z ), !
% 0.94/1.54 c_Orderings_Oord__class_Oless( Y, W, T ), ! c_Orderings_Oord__class_Oless
% 0.94/1.54 ( X, hAPP( U, skol86( X, Y, U ) ), hAPP( U, skol19( X, Y, U ) ) ),
% 0.94/1.54 c_Orderings_Oord__class_Oless( X, hAPP( U, W ), Z ) }.
% 0.94/1.54 { ! class_Orderings_Oorder( Y ), ! class_Orderings_Oorder( X ), !
% 0.94/1.54 c_Orderings_Oord__class_Oless( X, hAPP( U, T ), Z ), !
% 0.94/1.54 c_Orderings_Oord__class_Oless__eq( Y, W, T ),
% 0.94/1.54 c_Orderings_Oord__class_Oless__eq( Y, skol87( X, Y, U ), skol20( X, Y, U
% 0.94/1.54 ) ), c_Orderings_Oord__class_Oless( X, hAPP( U, W ), Z ) }.
% 0.94/1.54 { ! class_Orderings_Oorder( Y ), ! class_Orderings_Oorder( X ), !
% 0.94/1.54 c_Orderings_Oord__class_Oless( X, hAPP( U, T ), Z ), !
% 0.94/1.54 c_Orderings_Oord__class_Oless__eq( Y, W, T ), !
% 0.94/1.54 c_Orderings_Oord__class_Oless__eq( X, hAPP( U, skol87( X, Y, U ) ), hAPP
% 0.94/1.54 ( U, skol20( X, Y, U ) ) ), c_Orderings_Oord__class_Oless( X, hAPP( U, W
% 0.94/1.54 ), Z ) }.
% 0.94/1.54 { ! Y = X, alpha40( X, Y, Z, T ), ! c_member( T, Z, Y ) }.
% 0.94/1.54 { ! Y = X, alpha40( X, Y, Z, T ), ! c_member( T, Z, X ) }.
% 0.94/1.54 { ! alpha40( X, Y, Z, T ), c_member( T, Z, Y ) }.
% 0.94/1.54 { ! alpha40( X, Y, Z, T ), c_member( T, Z, X ) }.
% 0.94/1.54 { ! c_member( T, Z, Y ), ! c_member( T, Z, X ), alpha40( X, Y, Z, T ) }.
% 0.94/1.54 { ! c_Orderings_Oord__class_Oless__eq( tc_fun( Z, tc_HOL_Obool ), Y, X ), !
% 0.94/1.54 c_Orderings_Oord__class_Oless__eq( tc_fun( Z, tc_HOL_Obool ), X, Y ), Y
% 0.94/1.54 = X }.
% 0.94/1.54 { c_member( Y, X, c_Orderings_Otop__class_Otop( tc_fun( Y, tc_HOL_Obool ) )
% 0.94/1.54 ) }.
% 0.94/1.54 { ! c_Orderings_Oord__class_Oless__eq( tc_fun( Z, tc_HOL_Obool ), Y, X ), !
% 0.94/1.54 c_member( Z, T, Y ), c_member( Z, T, X ) }.
% 0.94/1.54 { ! c_Orderings_Oord__class_Oless( tc_fun( Z, tc_HOL_Obool ), Y, X ),
% 0.94/1.54 c_Orderings_Oord__class_Oless__eq( tc_fun( Z, tc_HOL_Obool ), Y, X ) }.
% 0.94/1.54 { ! c_Orderings_Oord__class_Oless( tc_fun( Z, tc_HOL_Obool ), Y, X ), ! Y =
% 0.94/1.54 X }.
% 0.94/1.54 { ! c_Orderings_Oord__class_Oless__eq( tc_fun( Z, tc_HOL_Obool ), Y, X ), Y
% 0.94/1.54 = X, c_Orderings_Oord__class_Oless( tc_fun( Z, tc_HOL_Obool ), Y, X ) }
% 0.94/1.54 .
% 0.94/1.54 { ! c_Orderings_Oord__class_Oless__eq( tc_fun( Z, tc_HOL_Obool ), Y, X ),
% 0.94/1.54 c_Orderings_Oord__class_Oless( tc_fun( Z, tc_HOL_Obool ), Y, X ), Y = X }
% 0.94/1.54 .
% 0.94/1.54 { ! c_Orderings_Oord__class_Oless( tc_fun( Z, tc_HOL_Obool ), Y, X ),
% 0.94/1.54 c_Orderings_Oord__class_Oless__eq( tc_fun( Z, tc_HOL_Obool ), Y, X ) }.
% 0.94/1.54 { ! Y = X, c_Orderings_Oord__class_Oless__eq( tc_fun( Z, tc_HOL_Obool ), Y
% 0.94/1.54 , X ) }.
% 0.94/1.54 { ! c_Orderings_Oord__class_Oless( tc_fun( Z, tc_HOL_Obool ), Y, X ),
% 0.94/1.54 c_Orderings_Oord__class_Oless__eq( tc_fun( Z, tc_HOL_Obool ), Y, X ) }.
% 0.94/1.54 { ! c_Orderings_Oord__class_Oless( tc_fun( Z, tc_HOL_Obool ), Y, X ), !
% 0.94/1.54 c_member( Z, T, Y ), c_member( Z, T, X ) }.
% 0.94/1.54 { ! c_Orderings_Oord__class_Oless( tc_fun( Z, tc_HOL_Obool ), Y, X ), !
% 0.94/1.54 c_Orderings_Oord__class_Oless__eq( tc_fun( Z, tc_HOL_Obool ), X, T ),
% 0.94/1.54 c_Orderings_Oord__class_Oless( tc_fun( Z, tc_HOL_Obool ), Y, T ) }.
% 0.94/1.54 { ! c_Orderings_Oord__class_Oless__eq( tc_fun( Z, tc_HOL_Obool ), Y, X ), !
% 0.94/1.54 c_Orderings_Oord__class_Oless( tc_fun( Z, tc_HOL_Obool ), X, T ),
% 0.94/1.54 c_Orderings_Oord__class_Oless( tc_fun( Z, tc_HOL_Obool ), Y, T ) }.
% 0.94/1.54 { ! c_member( Z, Y, X ), hBOOL( hAPP( X, Y ) ) }.
% 0.94/1.54 { ! hBOOL( hAPP( X, Y ) ), c_member( Z, Y, X ) }.
% 0.94/1.54 { ! c_member( Z, Y, c_fequal( X ) ), Y = X }.
% 0.94/1.54 { ! Y = X, c_member( Z, Y, c_fequal( X ) ) }.
% 0.94/1.54 { ! Y = X, ! c_member( T, Z, Y ), c_member( T, Z, X ) }.
% 0.94/1.54 { ! Y = X, ! c_member( T, Z, X ), c_member( T, Z, Y ) }.
% 0.94/1.54 { ! Y = X, ! c_member( T, Y, Z ), c_member( T, X, Z ) }.
% 0.94/1.54 { ! Y = X, ! c_member( T, X, Z ), c_member( T, Y, Z ) }.
% 0.94/1.54 { ! Y = X, ! c_member( T, X, Z ), c_member( T, Y, Z ) }.
% 0.94/1.54 { ! Y = X, c_Orderings_Oord__class_Oless__eq( tc_fun( Z, tc_HOL_Obool ), Y
% 0.94/1.54 , X ) }.
% 0.94/1.54 { ! Y = X, c_Orderings_Oord__class_Oless__eq( tc_fun( Z, tc_HOL_Obool ), X
% 0.94/1.54 , Y ) }.
% 0.94/1.54 { ! c_Orderings_Oord__class_Oless__eq( tc_fun( Z, tc_HOL_Obool ), Y, X ), !
% 0.94/1.54 c_Orderings_Oord__class_Oless__eq( tc_fun( Z, tc_HOL_Obool ), X, T ),
% 0.94/1.54 c_Orderings_Oord__class_Oless__eq( tc_fun( Z, tc_HOL_Obool ), Y, T ) }.
% 0.94/1.54 { ! c_Orderings_Oord__class_Oless__eq( tc_fun( Z, tc_HOL_Obool ), Y, X ), !
% 0.94/1.54 c_member( Z, T, Y ), c_member( Z, T, X ) }.
% 0.94/1.54 { ! c_member( Z, Y, X ), ! c_Orderings_Oord__class_Oless__eq( tc_fun( Z,
% 0.94/1.54 tc_HOL_Obool ), X, T ), c_member( Z, Y, T ) }.
% 0.94/1.54 { ! c_Orderings_Oord__class_Oless__eq( tc_fun( Z, tc_HOL_Obool ), Y, X ), !
% 0.94/1.54 hBOOL( hAPP( Y, T ) ), hBOOL( hAPP( X, T ) ) }.
% 0.94/1.54 { ! c_Orderings_Oord__class_Oless__eq( tc_fun( Z, tc_HOL_Obool ), Y, X ), !
% 0.94/1.54 c_member( Z, T, Y ), c_member( Z, T, X ) }.
% 0.94/1.54 { ! Y = X, c_Orderings_Oord__class_Oless__eq( tc_fun( Z, tc_HOL_Obool ), X
% 0.94/1.54 , Y ) }.
% 0.94/1.54 { ! Y = X, c_Orderings_Oord__class_Oless__eq( tc_fun( Z, tc_HOL_Obool ), Y
% 0.94/1.54 , X ) }.
% 0.94/1.54 { ! hBOOL( hAPP( Y, X ) ), ! c_Orderings_Oord__class_Oless__eq( tc_fun( T,
% 0.94/1.54 tc_HOL_Obool ), Y, Z ), hBOOL( hAPP( Z, X ) ) }.
% 0.94/1.54 { ! Z = Y, c_Orderings_Oord__class_Oless__eq( tc_fun( X, tc_HOL_Obool ), Z
% 0.94/1.54 , Y ) }.
% 0.94/1.54 { ! Z = Y, c_Orderings_Oord__class_Oless__eq( tc_fun( X, tc_HOL_Obool ), Y
% 0.94/1.54 , Z ) }.
% 0.94/1.54 { ! c_Orderings_Oord__class_Oless__eq( tc_fun( X, tc_HOL_Obool ), Z, Y ), !
% 0.94/1.54 c_Orderings_Oord__class_Oless__eq( tc_fun( X, tc_HOL_Obool ), Y, Z ), Z
% 0.94/1.54 = Y }.
% 0.94/1.54 { c_Orderings_Oord__class_Oless__eq( tc_fun( Y, tc_HOL_Obool ), X, X ) }.
% 0.94/1.54 { ! class_Orderings_Oord( X ), ! c_Lubs_OisLub( X, T, Z, Y ), ! hBOOL( hAPP
% 0.94/1.54 ( c_Lubs_OisUb( X, T, Z ), U ) ), c_Orderings_Oord__class_Oless__eq( X, Y
% 0.94/1.54 , U ) }.
% 0.94/1.54 { ! class_Orderings_Oord( X ), ! hBOOL( hAPP( c_Lubs_OisUb( X, T, Z ), Y )
% 0.94/1.54 ), ! c_member( X, U, Z ), c_Orderings_Oord__class_Oless__eq( X, U, Y ) }
% 0.94/1.54 .
% 0.94/1.54 { ! class_Orderings_Oord( X ), ! c_Lubs_OisLub( X, T, Z, Y ), ! c_member( X
% 0.94/1.54 , U, Z ), c_Orderings_Oord__class_Oless__eq( X, U, Y ) }.
% 0.94/1.54 { ! class_Orderings_Oord( X ), ! c_Lubs_OisLub( X, T, Z, Y ), hBOOL( hAPP(
% 0.94/1.54 c_Lubs_OisUb( X, T, Z ), Y ) ) }.
% 0.94/1.54 { ! class_Orderings_Oord( X ), ! hBOOL( hAPP( c_Lubs_OisUb( X, Z, T ), Y )
% 0.94/1.54 ), c_member( X, Y, Z ) }.
% 0.94/1.54 { ! class_Orderings_Oord( X ), ! c_Lubs_OisLub( X, Z, T, Y ), c_member( X,
% 0.94/1.54 Y, Z ) }.
% 0.94/1.54 { c_member( Y, X, c_Orderings_Otop__class_Otop( tc_fun( Y, tc_HOL_Obool ) )
% 0.94/1.54 ) }.
% 0.94/1.54 { ! c_member( tc_RealDef_Oreal, Y, X ), ! hBOOL( hAPP( c_Lubs_OisUb(
% 0.94/1.54 tc_RealDef_Oreal, c_Orderings_Otop__class_Otop( tc_fun( tc_RealDef_Oreal
% 0.94/1.54 , tc_HOL_Obool ) ), X ), Z ) ), c_Lubs_OisLub( tc_RealDef_Oreal,
% 0.94/1.54 c_Orderings_Otop__class_Otop( tc_fun( tc_RealDef_Oreal, tc_HOL_Obool ) )
% 0.94/1.54 , X, skol21( X ) ) }.
% 0.94/1.54 { ! c_member( tc_RealDef_Oreal, Y, X ), ! hBOOL( hAPP( c_Lubs_OisUb(
% 0.94/1.54 tc_RealDef_Oreal, c_Orderings_Otop__class_Otop( tc_fun( tc_RealDef_Oreal
% 0.94/1.54 , tc_HOL_Obool ) ), X ), Z ) ), c_Lubs_OisLub( tc_RealDef_Oreal,
% 0.94/1.54 c_Orderings_Otop__class_Otop( tc_fun( tc_RealDef_Oreal, tc_HOL_Obool ) )
% 0.94/1.54 , X, skol22( X ) ) }.
% 0.94/1.54 { ! c_Orderings_Oord__class_Oless( tc_fun( Z, tc_HOL_Obool ), Y, X ), !
% 0.94/1.54 c_Orderings_Oord__class_Oless( tc_fun( Z, tc_HOL_Obool ), X, T ),
% 0.94/1.54 c_Orderings_Oord__class_Oless( tc_fun( Z, tc_HOL_Obool ), Y, T ) }.
% 0.94/1.54 { ! class_Orderings_Oord( X ), c_Lubs_Oubs( X, Z, Y ) = c_Set_OCollect( X,
% 0.94/1.54 c_Lubs_OisUb( X, Z, Y ) ) }.
% 0.94/1.54 { ! class_Orderings_Oord( X ), ! hBOOL( hAPP( c_Lubs_OisUb( X, T, Z ), Y )
% 0.94/1.54 ), ! c_Lubs_Osetge( X, Y, c_Set_OCollect( X, c_Lubs_OisUb( X, T, Z ) ) )
% 0.94/1.54 , c_Lubs_OisLub( X, T, Z, Y ) }.
% 0.94/1.54 { ! class_Orderings_Oord( X ), ! c_Lubs_OleastP( X, Z, Y ), ! c_member( X,
% 0.94/1.54 T, c_Set_OCollect( X, Z ) ), c_Orderings_Oord__class_Oless__eq( X, Y, T )
% 0.94/1.54 }.
% 0.94/1.54 { ! class_Orderings_Oord( X ), ! c_Lubs_OisLub( X, T, Z, Y ),
% 0.94/1.54 c_Lubs_OleastP( X, c_Lubs_OisUb( X, T, Z ), Y ) }.
% 0.94/1.54 { ! class_Orderings_Oord( X ), ! c_Lubs_OleastP( X, c_Lubs_OisUb( X, T, Z )
% 0.94/1.54 , Y ), c_Lubs_OisLub( X, T, Z, Y ) }.
% 0.94/1.54 { ! class_Orderings_Oord( X ), ! c_Lubs_OisLub( X, T, Z, Y ),
% 0.94/1.54 c_Lubs_OleastP( X, c_Lubs_OisUb( X, T, Z ), Y ) }.
% 0.94/1.54 { ! class_Orderings_Oord( X ), ! c_Lubs_OleastP( X, c_Lubs_OisUb( X, T, Z )
% 0.94/1.54 , Y ), c_Lubs_OisLub( X, T, Z, Y ) }.
% 0.94/1.54 { ! class_Orderings_Oord( X ), ! c_Lubs_Osetle( X, Z, Y ), ! c_member( X, Y
% 0.94/1.54 , T ), hBOOL( hAPP( c_Lubs_OisUb( X, T, Z ), Y ) ) }.
% 0.94/1.54 { ! class_Orderings_Oord( X ), ! hBOOL( hAPP( c_Lubs_OisUb( X, T, Z ), Y )
% 0.94/1.54 ), c_Lubs_Osetle( X, Z, Y ) }.
% 0.94/1.54 { ! class_Orderings_Oord( X ), ! hBOOL( hAPP( c_Lubs_OisUb( X, T, Z ), Y )
% 0.94/1.54 ), c_member( X, Y, T ) }.
% 0.94/1.54 { ! class_Orderings_Oord( X ), ! c_Lubs_Osetle( X, Z, Y ), ! c_member( X, Y
% 0.94/1.54 , T ), hBOOL( hAPP( c_Lubs_OisUb( X, T, Z ), Y ) ) }.
% 0.94/1.54 { ! class_Orderings_Oord( X ), ! c_Lubs_Osetge( X, Z, Y ), ! c_member( X, T
% 0.94/1.54 , Y ), c_Orderings_Oord__class_Oless__eq( X, Z, T ) }.
% 0.94/1.54 { ! class_Orderings_Oord( X ), ! c_Lubs_OleastP( X, Z, Y ), hBOOL( hAPP( Z
% 0.94/1.54 , Y ) ) }.
% 0.94/1.54 { ! class_Orderings_Oord( X ), ! c_Lubs_OleastP( X, Z, Y ), hBOOL( hAPP( Z
% 0.94/1.54 , Y ) ) }.
% 0.94/1.54 { ! class_Orderings_Oord( X ), ! c_Lubs_OleastP( X, Z, Y ), c_Lubs_Osetge(
% 0.94/1.54 X, Y, c_Set_OCollect( X, Z ) ) }.
% 0.94/1.54 { ! class_Orderings_Oord( X ), ! hBOOL( hAPP( Z, Y ) ), ! c_Lubs_Osetge( X
% 0.94/1.54 , Y, c_Set_OCollect( X, Z ) ), c_Lubs_OleastP( X, Z, Y ) }.
% 0.94/1.54 { ! class_Orderings_Oord( X ), ! c_Lubs_OleastP( X, Z, Y ), c_Lubs_Osetge(
% 0.94/1.54 X, Y, c_Set_OCollect( X, Z ) ) }.
% 0.94/1.54 { ! class_Orderings_Oord( X ), ! c_Lubs_OisLub( X, T, Z, Y ), c_Lubs_Osetge
% 0.94/1.54 ( X, Y, c_Lubs_Oubs( X, T, Z ) ) }.
% 0.94/1.54 { ! class_Orderings_Oord( X ), ! c_Lubs_Osetle( X, Z, Y ), ! c_member( X, T
% 0.94/1.54 , Z ), c_Orderings_Oord__class_Oless__eq( X, T, Y ) }.
% 0.94/1.54 { ! class_Orderings_Oord( X ), c_member( X, skol23( X, T, Z ), Z ),
% 0.94/1.54 c_Lubs_Osetle( X, Z, Y ) }.
% 0.94/1.54 { ! class_Orderings_Oord( X ), ! c_Orderings_Oord__class_Oless__eq( X,
% 0.94/1.54 skol23( X, Y, Z ), Y ), c_Lubs_Osetle( X, Z, Y ) }.
% 0.94/1.54 { ! class_Orderings_Oord( X ), ! c_Lubs_Osetge( X, Z, Y ), ! c_member( X, T
% 0.94/1.54 , Y ), c_Orderings_Oord__class_Oless__eq( X, Z, T ) }.
% 0.94/1.54 { ! class_Orderings_Oord( X ), c_member( X, skol24( X, Y, T ), Y ),
% 0.94/1.54 c_Lubs_Osetge( X, Z, Y ) }.
% 0.94/1.54 { ! class_Orderings_Oord( X ), ! c_Orderings_Oord__class_Oless__eq( X, Z,
% 0.94/1.54 skol24( X, Y, Z ) ), c_Lubs_Osetge( X, Z, Y ) }.
% 0.94/1.54 { ! class_Orderings_Oord( X ), ! c_Lubs_OisLub( X, T, Z, Y ), c_Lubs_Osetle
% 0.94/1.54 ( X, Z, Y ) }.
% 0.94/1.54 { ! class_Orderings_Oord( X ), ! hBOOL( hAPP( c_Lubs_OisUb( X, T, Z ), Y )
% 0.94/1.54 ), c_Lubs_Osetle( X, Z, Y ) }.
% 0.94/1.54 { ! class_Orderings_Oord( X ), ! c_Lubs_Osetle( X, Z, Y ), ! c_member( X, T
% 0.94/1.54 , Z ), c_Orderings_Oord__class_Oless__eq( X, T, Y ) }.
% 0.94/1.54 { ! class_Orderings_Oord( X ), c_member( X, skol25( X, T, Z ), Z ), hBOOL(
% 0.94/1.54 hAPP( c_Lubs_OisUb( X, c_Orderings_Otop__class_Otop( tc_fun( X,
% 0.94/1.54 tc_HOL_Obool ) ), Z ), Y ) ) }.
% 0.94/1.54 { ! class_Orderings_Oord( X ), ! c_Orderings_Oord__class_Oless__eq( X,
% 0.94/1.54 skol25( X, Y, Z ), Y ), hBOOL( hAPP( c_Lubs_OisUb( X,
% 0.94/1.54 c_Orderings_Otop__class_Otop( tc_fun( X, tc_HOL_Obool ) ), Z ), Y ) ) }.
% 0.94/1.54 { ! c_Orderings_Oord__class_Oless__eq( tc_fun( Z, tc_HOL_Obool ), Y, X ),
% 0.94/1.54 c_Orderings_Oord__class_Oless__eq( tc_fun( tc_fun( Z, tc_HOL_Obool ),
% 0.94/1.54 tc_HOL_Obool ), c_Predicate_OPowp( Z, Y ), c_Predicate_OPowp( Z, X ) ) }
% 0.94/1.54 .
% 0.94/1.54 { c_member( Z, skol26( T, Y, Z ), Y ), c_Orderings_Oord__class_Oless__eq(
% 0.94/1.54 tc_fun( Z, tc_HOL_Obool ), Y, X ) }.
% 0.94/1.54 { ! c_member( Z, skol26( X, Y, Z ), X ), c_Orderings_Oord__class_Oless__eq
% 0.94/1.54 ( tc_fun( Z, tc_HOL_Obool ), Y, X ) }.
% 0.94/1.54 { ! class_Orderings_Oord( X ), c_member( X, skol27( X, T, Z ), Z ),
% 0.94/1.54 c_Lubs_Osetle( X, Z, Y ) }.
% 0.94/1.54 { ! class_Orderings_Oord( X ), ! c_Orderings_Oord__class_Oless__eq( X,
% 0.94/1.54 skol27( X, Y, Z ), Y ), c_Lubs_Osetle( X, Z, Y ) }.
% 0.94/1.54 { ! class_Orderings_Oord( X ), c_member( X, skol28( X, T, Z ), Z ),
% 0.94/1.54 c_Lubs_Osetge( X, Y, Z ) }.
% 0.94/1.54 { ! class_Orderings_Oord( X ), ! c_Orderings_Oord__class_Oless__eq( X, Y,
% 0.94/1.54 skol28( X, Y, Z ) ), c_Lubs_Osetge( X, Y, Z ) }.
% 0.94/1.54 { hBOOL( hAPP( Y, skol29( Z, Y ) ) ), c_Orderings_Oord__class_Oless__eq(
% 0.94/1.54 tc_fun( T, tc_HOL_Obool ), c_Set_OCollect( T, Y ), c_Set_OCollect( T, X )
% 0.94/1.54 ) }.
% 0.94/1.54 { ! hBOOL( hAPP( X, skol29( X, Y ) ) ), c_Orderings_Oord__class_Oless__eq(
% 0.94/1.54 tc_fun( Z, tc_HOL_Obool ), c_Set_OCollect( Z, Y ), c_Set_OCollect( Z, X )
% 0.94/1.54 ) }.
% 0.94/1.54 { ! c_member( Y, skol30( X, Y ), X ), c_Orderings_Otop__class_Otop( tc_fun
% 0.94/1.54 ( Y, tc_HOL_Obool ) ) = X }.
% 0.94/1.54 { c_member( X, skol31( X ), c_Orderings_Otop__class_Otop( tc_fun( X,
% 0.94/1.54 tc_HOL_Obool ) ) ) }.
% 0.94/1.54 { ! class_Orderings_Oorder( X ), ! c_SEQ_Odecseq( X, Y ), !
% 0.94/1.54 c_Orderings_Oord__class_Oless__eq( tc_Nat_Onat, Z, T ),
% 0.94/1.54 c_Orderings_Oord__class_Oless__eq( X, hAPP( Y, T ), hAPP( Y, Z ) ) }.
% 0.94/1.54 { ! class_Orderings_Oorder( X ), c_Orderings_Oord__class_Oless__eq(
% 0.94/1.54 tc_Nat_Onat, skol32( X, Y ), skol88( X, Y ) ), c_SEQ_Odecseq( X, Y ) }.
% 0.94/1.54 { ! class_Orderings_Oorder( X ), ! c_Orderings_Oord__class_Oless__eq( X,
% 0.94/1.54 hAPP( Y, skol88( X, Y ) ), hAPP( Y, skol32( X, Y ) ) ), c_SEQ_Odecseq( X
% 0.94/1.54 , Y ) }.
% 0.94/1.54 { ! class_Orderings_Oorder( X ), ! c_SEQ_Oincseq( X, Y ), !
% 0.94/1.54 c_Orderings_Oord__class_Oless__eq( tc_Nat_Onat, Z, T ),
% 0.94/1.54 c_Orderings_Oord__class_Oless__eq( X, hAPP( Y, Z ), hAPP( Y, T ) ) }.
% 0.94/1.54 { ! class_Orderings_Oorder( X ), c_Orderings_Oord__class_Oless__eq(
% 0.94/1.54 tc_Nat_Onat, skol33( X, Y ), skol89( X, Y ) ), c_SEQ_Oincseq( X, Y ) }.
% 0.94/1.54 { ! class_Orderings_Oorder( X ), ! c_Orderings_Oord__class_Oless__eq( X,
% 0.94/1.54 hAPP( Y, skol33( X, Y ) ), hAPP( Y, skol89( X, Y ) ) ), c_SEQ_Oincseq( X
% 0.94/1.54 , Y ) }.
% 0.94/1.54 { ! c_Orderings_Oord__class_Oless__eq( tc_fun( Z, tc_HOL_Obool ), Y, X ),
% 0.94/1.54 c_Orderings_Oord__class_Oless__eq( tc_fun( tc_fun( Z, tc_HOL_Obool ),
% 0.94/1.54 tc_HOL_Obool ), c_Set_OPow( Z, Y ), c_Set_OPow( Z, X ) ) }.
% 0.94/1.54 { ! class_Orderings_Oorder( Y ), ! class_Orderings_Oorder( X ), !
% 0.94/1.54 c_Orderings_Oorder__class_Ostrict__mono( X, Y, Z ), !
% 0.94/1.54 c_Orderings_Oord__class_Oless( X, U, T ), c_Orderings_Oord__class_Oless(
% 0.94/1.54 Y, hAPP( Z, U ), hAPP( Z, T ) ) }.
% 0.94/1.54 { ! class_Orderings_Oorder( Y ), ! class_Orderings_Olinorder( X ), !
% 0.94/1.54 c_Orderings_Oorder__class_Ostrict__mono( X, Y, Z ), !
% 0.94/1.54 c_Orderings_Oord__class_Oless( Y, hAPP( Z, U ), hAPP( Z, T ) ),
% 0.94/1.54 c_Orderings_Oord__class_Oless( X, U, T ) }.
% 0.94/1.54 { ! class_Orderings_Oorder( Y ), ! class_Orderings_Olinorder( X ), !
% 0.94/1.54 c_Orderings_Oorder__class_Ostrict__mono( X, Y, Z ), !
% 0.94/1.54 c_Orderings_Oord__class_Oless( X, U, T ), c_Orderings_Oord__class_Oless(
% 0.94/1.54 Y, hAPP( Z, U ), hAPP( Z, T ) ) }.
% 0.94/1.54 { ! class_Orderings_Oorder( X ), ! c_Orderings_Oord__class_Oless( tc_fun( X
% 0.94/1.54 , tc_HOL_Obool ), c_SetInterval_Oord__class_OatLeastAtMost( X, U, T ),
% 0.94/1.54 c_SetInterval_Oord__class_OatLeastAtMost( X, Z, Y ) ), alpha1( X, Y, Z, T
% 0.94/1.54 , U ) }.
% 0.94/1.54 { ! class_Orderings_Oorder( X ), ! c_Orderings_Oord__class_Oless( tc_fun( X
% 0.94/1.54 , tc_HOL_Obool ), c_SetInterval_Oord__class_OatLeastAtMost( X, U, T ),
% 0.94/1.54 c_SetInterval_Oord__class_OatLeastAtMost( X, Z, Y ) ),
% 0.94/1.54 c_Orderings_Oord__class_Oless__eq( X, Z, Y ) }.
% 0.94/1.54 { ! class_Orderings_Oorder( X ), ! alpha1( X, Y, Z, T, U ), !
% 0.94/1.54 c_Orderings_Oord__class_Oless__eq( X, Z, Y ),
% 0.94/1.54 c_Orderings_Oord__class_Oless( tc_fun( X, tc_HOL_Obool ),
% 0.94/1.54 c_SetInterval_Oord__class_OatLeastAtMost( X, U, T ),
% 0.94/1.54 c_SetInterval_Oord__class_OatLeastAtMost( X, Z, Y ) ) }.
% 0.94/1.54 { ! alpha1( X, Y, Z, T, U ), ! c_Orderings_Oord__class_Oless__eq( X, U, T )
% 0.94/1.54 , alpha20( X, Y, Z, T, U ) }.
% 0.94/1.54 { c_Orderings_Oord__class_Oless__eq( X, U, T ), alpha1( X, Y, Z, T, U ) }.
% 0.94/1.54 { ! alpha20( X, Y, Z, T, U ), alpha1( X, Y, Z, T, U ) }.
% 0.94/1.54 { ! alpha20( X, Y, Z, T, U ), c_Orderings_Oord__class_Oless__eq( X, Z, U )
% 0.94/1.54 }.
% 0.94/1.54 { ! alpha20( X, Y, Z, T, U ), alpha32( X, Y, Z, T, U ) }.
% 0.94/1.54 { ! c_Orderings_Oord__class_Oless__eq( X, Z, U ), ! alpha32( X, Y, Z, T, U
% 0.94/1.54 ), alpha20( X, Y, Z, T, U ) }.
% 0.94/1.54 { ! alpha32( X, Y, Z, T, U ), c_Orderings_Oord__class_Oless__eq( X, T, Y )
% 0.94/1.54 }.
% 0.94/1.54 { ! alpha32( X, Y, Z, T, U ), alpha37( X, Y, Z, T, U ) }.
% 0.94/1.54 { ! c_Orderings_Oord__class_Oless__eq( X, T, Y ), ! alpha37( X, Y, Z, T, U
% 0.94/1.54 ), alpha32( X, Y, Z, T, U ) }.
% 0.94/1.54 { ! alpha37( X, Y, Z, T, U ), c_Orderings_Oord__class_Oless( X, Z, U ),
% 0.94/1.54 c_Orderings_Oord__class_Oless( X, T, Y ) }.
% 0.94/1.54 { ! c_Orderings_Oord__class_Oless( X, Z, U ), alpha37( X, Y, Z, T, U ) }.
% 0.94/1.54 { ! c_Orderings_Oord__class_Oless( X, T, Y ), alpha37( X, Y, Z, T, U ) }.
% 0.94/1.54 { ! class_Orderings_Oorder( Y ), ! class_Orderings_Olinorder( X ), !
% 0.94/1.54 c_Orderings_Oorder__class_Ostrict__mono( X, Y, Z ), !
% 0.94/1.54 c_Orderings_Oord__class_Oless__eq( Y, hAPP( Z, U ), hAPP( Z, T ) ),
% 0.94/1.54 c_Orderings_Oord__class_Oless__eq( X, U, T ) }.
% 0.94/1.54 { ! class_Orderings_Oorder( Y ), ! class_Orderings_Olinorder( X ), !
% 0.94/1.54 c_Orderings_Oorder__class_Ostrict__mono( X, Y, Z ), !
% 0.94/1.54 c_Orderings_Oord__class_Oless__eq( X, U, T ),
% 0.94/1.54 c_Orderings_Oord__class_Oless__eq( Y, hAPP( Z, U ), hAPP( Z, T ) ) }.
% 0.94/1.54 { ! c_Orderings_Oord__class_Oless__eq( tc_fun( T, tc_HOL_Obool ),
% 0.94/1.54 c_Set_Oinsert( T, Z, Y ), X ), c_member( T, Z, X ) }.
% 0.94/1.54 { ! c_Orderings_Oord__class_Oless__eq( tc_fun( T, tc_HOL_Obool ),
% 0.94/1.54 c_Set_Oinsert( T, Z, Y ), X ), c_Orderings_Oord__class_Oless__eq( tc_fun
% 0.94/1.54 ( T, tc_HOL_Obool ), Y, X ) }.
% 0.94/1.54 { ! c_member( T, Z, X ), ! c_Orderings_Oord__class_Oless__eq( tc_fun( T,
% 0.94/1.54 tc_HOL_Obool ), Y, X ), c_Orderings_Oord__class_Oless__eq( tc_fun( T,
% 0.94/1.54 tc_HOL_Obool ), c_Set_Oinsert( T, Z, Y ), X ) }.
% 0.94/1.54 { ! c_member( T, Z, c_Set_Oinsert( T, Y, X ) ), Z = Y, c_member( T, Z, X )
% 0.94/1.54 }.
% 0.94/1.54 { ! c_member( T, Z, Y ), c_member( T, Z, c_Set_Oinsert( T, X, Y ) ) }.
% 0.94/1.54 { ! Z = X, c_member( T, Z, c_Set_Oinsert( T, X, Y ) ) }.
% 0.94/1.54 { ! c_Orderings_Oord__class_Oless__eq( tc_fun( Z, tc_HOL_Obool ), Y, X ),
% 0.94/1.54 c_member( tc_fun( Z, tc_HOL_Obool ), Y, c_Set_OPow( Z, X ) ) }.
% 0.94/1.54 { c_member( tc_fun( Y, tc_HOL_Obool ), X, c_Set_OPow( Y, X ) ) }.
% 0.94/1.54 { ! class_Orderings_Oorder( Y ), ! class_Orderings_Olinorder( X ), !
% 0.94/1.54 c_Orderings_Oorder__class_Ostrict__mono( X, Y, Z ), ! hAPP( Z, U ) = hAPP
% 0.94/1.54 ( Z, T ), U = T }.
% 0.94/1.54 { ! class_Orderings_Oorder( Y ), ! class_Orderings_Olinorder( X ), !
% 0.94/1.54 c_Orderings_Oorder__class_Ostrict__mono( X, Y, Z ), ! U = T, hAPP( Z, U )
% 0.94/1.54 = hAPP( Z, T ) }.
% 0.94/1.54 { ! hBOOL( hAPP( c_Set_Oinsert( T, Z, Y ), X ) ), Z = X, hBOOL( hAPP( Y, X
% 0.94/1.54 ) ) }.
% 0.94/1.54 { ! Z = X, hBOOL( hAPP( c_Set_Oinsert( T, Z, Y ), X ) ) }.
% 0.94/1.54 { ! hBOOL( hAPP( Y, X ) ), hBOOL( hAPP( c_Set_Oinsert( T, Z, Y ), X ) ) }.
% 0.94/1.54 { c_Set_Oinsert( T, Z, c_Set_Oinsert( T, Y, X ) ) = c_Set_Oinsert( T, Y,
% 0.94/1.54 c_Set_Oinsert( T, Z, X ) ) }.
% 0.94/1.54 { c_Set_Oinsert( Z, Y, c_Set_Oinsert( Z, Y, X ) ) = c_Set_Oinsert( Z, Y, X
% 0.94/1.54 ) }.
% 0.94/1.54 { c_member( Z, Y, c_Set_Oinsert( Z, Y, X ) ) }.
% 0.94/1.54 { ! c_member( T, Z, c_Set_Oinsert( T, Y, X ) ), Z = Y, c_member( T, Z, X )
% 0.94/1.54 }.
% 0.94/1.54 { ! Z = Y, c_member( T, Z, c_Set_Oinsert( T, Y, X ) ) }.
% 0.94/1.54 { ! c_member( T, Z, X ), c_member( T, Z, c_Set_Oinsert( T, Y, X ) ) }.
% 0.94/1.54 { c_member( Z, Y, X ), c_member( Z, Y, T ), ! c_Set_Oinsert( Z, Y, X ) =
% 0.94/1.54 c_Set_Oinsert( Z, Y, T ), X = T }.
% 0.94/1.54 { c_member( Z, Y, X ), c_member( Z, Y, T ), ! X = T, c_Set_Oinsert( Z, Y, X
% 0.94/1.54 ) = c_Set_Oinsert( Z, Y, T ) }.
% 0.94/1.54 { ! c_member( Z, Y, X ), c_member( Z, Y, c_Set_Oinsert( Z, T, X ) ) }.
% 0.94/1.54 { ! c_member( Z, Y, X ), c_Set_Oinsert( Z, Y, X ) = X }.
% 0.94/1.54 { ! c_Orderings_Oord__class_Oless__eq( tc_fun( Z, tc_HOL_Obool ), Y, X ),
% 0.94/1.54 c_Orderings_Oord__class_Oless__eq( tc_fun( Z, tc_HOL_Obool ),
% 0.94/1.54 c_Set_Oinsert( Z, T, Y ), c_Set_Oinsert( Z, T, X ) ) }.
% 0.94/1.54 { ! c_Orderings_Oord__class_Oless__eq( tc_fun( Z, tc_HOL_Obool ), Y, X ),
% 0.94/1.54 c_Orderings_Oord__class_Oless__eq( tc_fun( Z, tc_HOL_Obool ), Y,
% 0.94/1.54 c_Set_Oinsert( Z, T, X ) ) }.
% 0.94/1.54 { c_Orderings_Oord__class_Oless__eq( tc_fun( Z, tc_HOL_Obool ), Y,
% 0.94/1.54 c_Set_Oinsert( Z, X, Y ) ) }.
% 0.94/1.54 { c_Set_OPow( X, c_Orderings_Otop__class_Otop( tc_fun( X, tc_HOL_Obool ) )
% 0.94/1.54 ) = c_Orderings_Otop__class_Otop( tc_fun( tc_fun( X, tc_HOL_Obool ),
% 0.94/1.54 tc_HOL_Obool ) ) }.
% 0.94/1.54 { ! c_member( tc_fun( Z, tc_HOL_Obool ), Y, c_Set_OPow( Z, X ) ),
% 0.94/1.54 c_Orderings_Oord__class_Oless__eq( tc_fun( Z, tc_HOL_Obool ), Y, X ) }.
% 0.94/1.54 { ! c_member( tc_fun( Z, tc_HOL_Obool ), Y, c_Set_OPow( Z, X ) ),
% 0.94/1.54 c_Orderings_Oord__class_Oless__eq( tc_fun( Z, tc_HOL_Obool ), Y, X ) }.
% 0.94/1.54 { ! c_Orderings_Oord__class_Oless__eq( tc_fun( Z, tc_HOL_Obool ), Y, X ),
% 0.94/1.54 c_member( tc_fun( Z, tc_HOL_Obool ), Y, c_Set_OPow( Z, X ) ) }.
% 0.94/1.54 { ! class_Orderings_Oorder( X ), ! c_Orderings_Oord__class_Oless__eq(
% 0.94/1.54 tc_fun( X, tc_HOL_Obool ), c_SetInterval_Oord__class_OatLeastAtMost( X, U
% 0.94/1.54 , T ), c_SetInterval_Oord__class_OatLeastAtMost( X, Z, Y ) ), !
% 0.94/1.54 c_Orderings_Oord__class_Oless__eq( X, U, T ), alpha2( X, Y, Z, T, U ) }.
% 0.94/1.54 { ! class_Orderings_Oorder( X ), c_Orderings_Oord__class_Oless__eq( X, U, T
% 0.94/1.54 ), c_Orderings_Oord__class_Oless__eq( tc_fun( X, tc_HOL_Obool ),
% 0.94/1.54 c_SetInterval_Oord__class_OatLeastAtMost( X, U, T ),
% 0.94/1.54 c_SetInterval_Oord__class_OatLeastAtMost( X, Z, Y ) ) }.
% 0.94/1.54 { ! class_Orderings_Oorder( X ), ! alpha2( X, Y, Z, T, U ),
% 0.94/1.54 c_Orderings_Oord__class_Oless__eq( tc_fun( X, tc_HOL_Obool ),
% 0.94/1.54 c_SetInterval_Oord__class_OatLeastAtMost( X, U, T ),
% 0.94/1.54 c_SetInterval_Oord__class_OatLeastAtMost( X, Z, Y ) ) }.
% 0.94/1.54 { ! alpha2( X, Y, Z, T, U ), c_Orderings_Oord__class_Oless__eq( X, Z, U ) }
% 0.94/1.54 .
% 0.94/1.54 { ! alpha2( X, Y, Z, T, U ), c_Orderings_Oord__class_Oless__eq( X, T, Y ) }
% 0.94/1.54 .
% 0.94/1.54 { ! c_Orderings_Oord__class_Oless__eq( X, Z, U ), !
% 0.94/1.54 c_Orderings_Oord__class_Oless__eq( X, T, Y ), alpha2( X, Y, Z, T, U ) }.
% 0.94/1.54 { c_member( Z, Y, X ), ! c_Orderings_Oord__class_Oless__eq( tc_fun( Z,
% 0.94/1.54 tc_HOL_Obool ), X, c_Set_Oinsert( Z, Y, T ) ),
% 0.94/1.54 c_Orderings_Oord__class_Oless__eq( tc_fun( Z, tc_HOL_Obool ), X, T ) }.
% 0.94/1.54 { c_member( Z, Y, X ), ! c_Orderings_Oord__class_Oless__eq( tc_fun( Z,
% 0.94/1.54 tc_HOL_Obool ), X, T ), c_Orderings_Oord__class_Oless__eq( tc_fun( Z,
% 0.94/1.54 tc_HOL_Obool ), X, c_Set_Oinsert( Z, Y, T ) ) }.
% 0.94/1.54 { ! c_member( T, Z, c_SetInterval_Oord_OatMost( T, Y, X ) ), hBOOL( hAPP(
% 0.94/1.54 hAPP( Y, Z ), X ) ) }.
% 0.94/1.54 { ! hBOOL( hAPP( hAPP( Y, Z ), X ) ), c_member( T, Z,
% 0.94/1.54 c_SetInterval_Oord_OatMost( T, Y, X ) ) }.
% 0.94/1.54 { ! c_member( T, Z, c_SetInterval_Oord_OatLeast( T, Y, X ) ), hBOOL( hAPP(
% 0.94/1.54 hAPP( Y, X ), Z ) ) }.
% 0.94/1.54 { ! hBOOL( hAPP( hAPP( Y, X ), Z ) ), c_member( T, Z,
% 0.94/1.54 c_SetInterval_Oord_OatLeast( T, Y, X ) ) }.
% 0.94/1.54 { ! c_member( T, Z, c_SetInterval_Oord_OlessThan( T, Y, X ) ), hBOOL( hAPP
% 0.94/1.54 ( hAPP( Y, Z ), X ) ) }.
% 0.94/1.54 { ! hBOOL( hAPP( hAPP( Y, Z ), X ) ), c_member( T, Z,
% 0.94/1.54 c_SetInterval_Oord_OlessThan( T, Y, X ) ) }.
% 0.94/1.54 { ! c_member( T, Z, c_SetInterval_Oord_OgreaterThan( T, Y, X ) ), hBOOL(
% 0.94/1.54 hAPP( hAPP( Y, X ), Z ) ) }.
% 0.94/1.54 { ! hBOOL( hAPP( hAPP( Y, X ), Z ) ), c_member( T, Z,
% 0.94/1.54 c_SetInterval_Oord_OgreaterThan( T, Y, X ) ) }.
% 0.94/1.54 { ! c_member( U, T, c_SetInterval_Oord_OatLeastAtMost( U, Z, Y, X ) ),
% 0.94/1.54 hBOOL( hAPP( hAPP( Z, Y ), T ) ) }.
% 0.94/1.54 { ! c_member( U, T, c_SetInterval_Oord_OatLeastAtMost( U, Z, Y, X ) ),
% 0.94/1.54 hBOOL( hAPP( hAPP( Z, T ), X ) ) }.
% 0.94/1.54 { ! hBOOL( hAPP( hAPP( Z, Y ), T ) ), ! hBOOL( hAPP( hAPP( Z, T ), X ) ),
% 0.94/1.54 c_member( U, T, c_SetInterval_Oord_OatLeastAtMost( U, Z, Y, X ) ) }.
% 0.94/1.54 { ! c_member( U, T, c_SetInterval_Oord_OgreaterThanLessThan( U, Z, Y, X ) )
% 0.94/1.54 , hBOOL( hAPP( hAPP( Z, Y ), T ) ) }.
% 0.94/1.54 { ! c_member( U, T, c_SetInterval_Oord_OgreaterThanLessThan( U, Z, Y, X ) )
% 0.94/1.54 , hBOOL( hAPP( hAPP( Z, T ), X ) ) }.
% 0.94/1.54 { ! hBOOL( hAPP( hAPP( Z, Y ), T ) ), ! hBOOL( hAPP( hAPP( Z, T ), X ) ),
% 0.94/1.54 c_member( U, T, c_SetInterval_Oord_OgreaterThanLessThan( U, Z, Y, X ) ) }
% 0.94/1.54 .
% 0.94/1.54 { ! c_member( W, U, c_SetInterval_Oord_OatLeastLessThan( W, T, Z, Y, X ) )
% 0.94/1.54 , hBOOL( hAPP( hAPP( T, Y ), U ) ) }.
% 0.94/1.54 { ! c_member( W, U, c_SetInterval_Oord_OatLeastLessThan( W, T, Z, Y, X ) )
% 0.94/1.54 , hBOOL( hAPP( hAPP( Z, U ), X ) ) }.
% 0.94/1.54 { ! hBOOL( hAPP( hAPP( T, Y ), U ) ), ! hBOOL( hAPP( hAPP( Z, U ), X ) ),
% 0.94/1.54 c_member( W, U, c_SetInterval_Oord_OatLeastLessThan( W, T, Z, Y, X ) ) }
% 0.94/1.54 .
% 0.94/1.54 { ! c_member( W, U, c_SetInterval_Oord_OgreaterThanAtMost( W, T, Z, Y, X )
% 0.94/1.54 ), hBOOL( hAPP( hAPP( Z, Y ), U ) ) }.
% 0.94/1.54 { ! c_member( W, U, c_SetInterval_Oord_OgreaterThanAtMost( W, T, Z, Y, X )
% 0.94/1.54 ), hBOOL( hAPP( hAPP( T, U ), X ) ) }.
% 0.94/1.54 { ! hBOOL( hAPP( hAPP( Z, Y ), U ) ), ! hBOOL( hAPP( hAPP( T, U ), X ) ),
% 0.94/1.54 c_member( W, U, c_SetInterval_Oord_OgreaterThanAtMost( W, T, Z, Y, X ) )
% 0.94/1.54 }.
% 0.94/1.54 { ! class_Orderings_Oorder( X ), ! c_SEQ_Omonoseq( X, Y ), alpha3( X, Y ),
% 0.94/1.54 alpha21( X, Y ) }.
% 0.94/1.54 { ! class_Orderings_Oorder( X ), ! alpha3( X, Y ), c_SEQ_Omonoseq( X, Y ) }
% 0.94/1.54 .
% 0.94/1.54 { ! class_Orderings_Oorder( X ), ! alpha21( X, Y ), c_SEQ_Omonoseq( X, Y )
% 0.94/1.54 }.
% 0.94/1.54 { ! alpha21( X, Y ), ! c_Orderings_Oord__class_Oless__eq( tc_Nat_Onat, Z, T
% 0.94/1.54 ), c_Orderings_Oord__class_Oless__eq( X, hAPP( Y, T ), hAPP( Y, Z ) ) }
% 0.94/1.54 .
% 0.94/1.54 { c_Orderings_Oord__class_Oless__eq( tc_Nat_Onat, skol34( X, Y ), skol90( X
% 0.94/1.54 , Y ) ), alpha21( X, Y ) }.
% 0.94/1.54 { ! c_Orderings_Oord__class_Oless__eq( X, hAPP( Y, skol90( X, Y ) ), hAPP(
% 0.94/1.54 Y, skol34( X, Y ) ) ), alpha21( X, Y ) }.
% 0.94/1.54 { ! alpha3( X, Y ), ! c_Orderings_Oord__class_Oless__eq( tc_Nat_Onat, Z, T
% 0.94/1.54 ), c_Orderings_Oord__class_Oless__eq( X, hAPP( Y, Z ), hAPP( Y, T ) ) }
% 0.94/1.54 .
% 0.94/1.54 { c_Orderings_Oord__class_Oless__eq( tc_Nat_Onat, skol35( X, Y ), skol91( X
% 0.94/1.54 , Y ) ), alpha3( X, Y ) }.
% 0.94/1.54 { ! c_Orderings_Oord__class_Oless__eq( X, hAPP( Y, skol35( X, Y ) ), hAPP(
% 0.94/1.54 Y, skol91( X, Y ) ) ), alpha3( X, Y ) }.
% 0.94/1.54 { ! c_Orderings_Oord__class_Oless( tc_Nat_Onat, Y, X ),
% 0.94/1.54 c_Orderings_Oord__class_Oless__eq( tc_Nat_Onat, Y, X ) }.
% 0.94/1.54 { ! c_Orderings_Oord__class_Oless( tc_Nat_Onat, Y, X ), ! Y = X }.
% 0.94/1.54 { ! c_Orderings_Oord__class_Oless__eq( tc_Nat_Onat, Y, X ), Y = X,
% 0.94/1.54 c_Orderings_Oord__class_Oless( tc_Nat_Onat, Y, X ) }.
% 0.94/1.54 { ! c_Orderings_Oord__class_Oless__eq( tc_Nat_Onat, Y, X ),
% 0.94/1.54 c_Orderings_Oord__class_Oless( tc_Nat_Onat, Y, X ), Y = X }.
% 0.94/1.54 { ! c_Orderings_Oord__class_Oless( tc_Nat_Onat, Y, X ),
% 0.94/1.54 c_Orderings_Oord__class_Oless__eq( tc_Nat_Onat, Y, X ) }.
% 0.94/1.54 { ! Y = X, c_Orderings_Oord__class_Oless__eq( tc_Nat_Onat, Y, X ) }.
% 0.94/1.54 { ! c_Orderings_Oord__class_Oless( tc_Nat_Onat, Y, X ),
% 0.94/1.54 c_Orderings_Oord__class_Oless__eq( tc_Nat_Onat, Y, X ) }.
% 0.94/1.54 { ! c_Orderings_Oord__class_Oless( tc_Nat_Onat, Y, X ),
% 0.94/1.54 c_Orderings_Oord__class_Oless__eq( tc_Nat_Onat, Y, X ) }.
% 0.94/1.54 { ! c_Orderings_Oord__class_Oless__eq( tc_Nat_Onat, Y, X ), Y = X,
% 0.94/1.54 c_Orderings_Oord__class_Oless( tc_Nat_Onat, Y, X ) }.
% 0.94/1.54 { ! c_Orderings_Oord__class_Oless( tc_Nat_Onat, Y, X ),
% 0.94/1.54 c_Orderings_Oord__class_Oless__eq( tc_Nat_Onat, Y, X ) }.
% 0.94/1.54 { ! Y = X, c_Orderings_Oord__class_Oless__eq( tc_Nat_Onat, Y, X ) }.
% 0.94/1.54 { ! c_Orderings_Oord__class_Oless( tc_Nat_Onat, X, X ) }.
% 0.94/1.54 { Y = X, c_Orderings_Oord__class_Oless( tc_Nat_Onat, Y, X ),
% 0.94/1.54 c_Orderings_Oord__class_Oless( tc_Nat_Onat, X, Y ) }.
% 0.94/1.54 { ! c_Orderings_Oord__class_Oless( tc_Nat_Onat, Y, X ), ! Y = X }.
% 0.94/1.54 { ! c_Orderings_Oord__class_Oless( tc_Nat_Onat, X, Y ), ! Y = X }.
% 0.94/1.54 { Y = X, c_Orderings_Oord__class_Oless( tc_Nat_Onat, Y, X ),
% 0.94/1.54 c_Orderings_Oord__class_Oless( tc_Nat_Onat, X, Y ) }.
% 0.94/1.54 { ! c_Orderings_Oord__class_Oless( tc_Nat_Onat, X, X ) }.
% 0.94/1.54 { ! c_Orderings_Oord__class_Oless( tc_Nat_Onat, Y, X ), ! X = Y }.
% 0.94/1.54 { ! c_Orderings_Oord__class_Oless( tc_Nat_Onat, Y, X ), ! Y = X }.
% 0.94/1.54 { alpha41( X, Y, Z ), c_Orderings_Oord__class_Oless( tc_Nat_Onat, Y, Z ),
% 0.94/1.54 hBOOL( hAPP( hAPP( X, Y ), Z ) ) }.
% 0.94/1.54 { alpha41( X, Y, Z ), ! hBOOL( hAPP( hAPP( X, Y ), Z ) ), hBOOL( hAPP( hAPP
% 0.94/1.54 ( X, Y ), Z ) ) }.
% 0.94/1.54 { ! alpha41( X, Y, Z ), alpha42( X, Y, Z ), Z = Y }.
% 0.94/1.54 { ! alpha41( X, Y, Z ), alpha42( X, Y, Z ), ! hBOOL( hAPP( hAPP( X, Y ), Z
% 0.94/1.54 ) ) }.
% 0.94/1.54 { ! alpha42( X, Y, Z ), alpha41( X, Y, Z ) }.
% 0.94/1.54 { ! Z = Y, hBOOL( hAPP( hAPP( X, Y ), Z ) ), alpha41( X, Y, Z ) }.
% 0.94/1.54 { ! alpha42( X, Y, Z ), c_Orderings_Oord__class_Oless( tc_Nat_Onat, Z, Y )
% 0.94/1.54 }.
% 0.94/1.54 { ! alpha42( X, Y, Z ), ! hBOOL( hAPP( hAPP( X, Y ), Z ) ) }.
% 0.94/1.54 { ! c_Orderings_Oord__class_Oless( tc_Nat_Onat, Z, Y ), hBOOL( hAPP( hAPP(
% 0.94/1.54 X, Y ), Z ) ), alpha42( X, Y, Z ) }.
% 0.94/1.54 { ! class_Orderings_Oorder( X ), ! c_SEQ_Oincseq( X, Y ), c_SEQ_Omonoseq( X
% 0.94/1.54 , Y ) }.
% 0.94/1.54 { ! class_Orderings_Oorder( X ), ! c_SEQ_Odecseq( X, Y ), c_SEQ_Omonoseq( X
% 0.94/1.54 , Y ) }.
% 0.94/1.54 { ! c_Orderings_Oord__class_Oless__eq( tc_Nat_Onat, Y, X ), !
% 0.94/1.54 c_Orderings_Oord__class_Oless__eq( tc_Nat_Onat, X, Y ), Y = X }.
% 0.94/1.54 { ! c_Orderings_Oord__class_Oless__eq( tc_Nat_Onat, Y, X ), !
% 0.94/1.54 c_Orderings_Oord__class_Oless__eq( tc_Nat_Onat, X, Z ),
% 0.94/1.54 c_Orderings_Oord__class_Oless__eq( tc_Nat_Onat, Y, Z ) }.
% 0.94/1.54 { ! Y = X, c_Orderings_Oord__class_Oless__eq( tc_Nat_Onat, Y, X ) }.
% 0.94/1.54 { c_Orderings_Oord__class_Oless__eq( tc_Nat_Onat, Y, X ),
% 0.94/1.54 c_Orderings_Oord__class_Oless__eq( tc_Nat_Onat, X, Y ) }.
% 0.94/1.54 { c_Orderings_Oord__class_Oless__eq( tc_Nat_Onat, X, X ) }.
% 0.94/1.54 { ! class_Orderings_Oorder( X ), c_Orderings_Oord__class_Oless__eq(
% 0.94/1.54 tc_Nat_Onat, skol36( X, Y ), skol92( X, Y ) ), c_SEQ_Omonoseq( X, Y ) }.
% 0.94/1.54 { ! class_Orderings_Oorder( X ), ! c_Orderings_Oord__class_Oless__eq( X,
% 0.94/1.54 hAPP( Y, skol92( X, Y ) ), hAPP( Y, skol36( X, Y ) ) ), c_SEQ_Omonoseq( X
% 0.94/1.54 , Y ) }.
% 0.94/1.54 { ! class_Orderings_Oorder( X ), c_Orderings_Oord__class_Oless__eq(
% 0.94/1.54 tc_Nat_Onat, skol37( X, Y ), skol93( X, Y ) ), c_SEQ_Omonoseq( X, Y ) }.
% 0.94/1.54 { ! class_Orderings_Oorder( X ), ! c_Orderings_Oord__class_Oless__eq( X,
% 0.94/1.54 hAPP( Y, skol37( X, Y ) ), hAPP( Y, skol93( X, Y ) ) ), c_SEQ_Omonoseq( X
% 0.94/1.54 , Y ) }.
% 0.94/1.54 { ! class_Orderings_Olinorder( X ), ! c_Orderings_Oord__class_Oless( tc_fun
% 0.94/1.54 ( X, tc_HOL_Obool ), c_SetInterval_Oord__class_OlessThan( X, Z ),
% 0.94/1.54 c_SetInterval_Oord__class_OlessThan( X, Y ) ),
% 0.94/1.54 c_Orderings_Oord__class_Oless( X, Z, Y ) }.
% 0.94/1.54 { ! class_Orderings_Olinorder( X ), ! c_Orderings_Oord__class_Oless( X, Z,
% 0.94/1.54 Y ), c_Orderings_Oord__class_Oless( tc_fun( X, tc_HOL_Obool ),
% 0.94/1.54 c_SetInterval_Oord__class_OlessThan( X, Z ),
% 0.94/1.54 c_SetInterval_Oord__class_OlessThan( X, Y ) ) }.
% 0.94/1.54 { ! class_Orderings_Olinorder( X ), ! c_Orderings_Oord__class_Oless__eq(
% 0.94/1.54 tc_fun( X, tc_HOL_Obool ), c_SetInterval_Oord__class_OgreaterThan( X, Z )
% 0.94/1.54 , c_SetInterval_Oord__class_OgreaterThan( X, Y ) ),
% 0.94/1.54 c_Orderings_Oord__class_Oless__eq( X, Y, Z ) }.
% 0.94/1.54 { ! class_Orderings_Olinorder( X ), ! c_Orderings_Oord__class_Oless__eq( X
% 0.94/1.54 , Y, Z ), c_Orderings_Oord__class_Oless__eq( tc_fun( X, tc_HOL_Obool ),
% 0.94/1.54 c_SetInterval_Oord__class_OgreaterThan( X, Z ),
% 0.94/1.54 c_SetInterval_Oord__class_OgreaterThan( X, Y ) ) }.
% 0.94/1.54 { ! class_Orderings_Oorder( Y ), ! class_Orderings_Oorder( X ),
% 0.94/1.54 c_Orderings_Oord__class_Oless( X, skol38( X, Y, Z ), skol94( X, Y, Z ) )
% 0.94/1.54 , c_Orderings_Oorder__class_Ostrict__mono( X, Y, Z ) }.
% 0.94/1.54 { ! class_Orderings_Oorder( Y ), ! class_Orderings_Oorder( X ), !
% 0.94/1.54 c_Orderings_Oord__class_Oless( Y, hAPP( Z, skol38( X, Y, Z ) ), hAPP( Z,
% 0.94/1.54 skol94( X, Y, Z ) ) ), c_Orderings_Oorder__class_Ostrict__mono( X, Y, Z )
% 0.94/1.54 }.
% 0.94/1.54 { ! class_Orderings_Oord( X ), ! c_member( X, Z,
% 0.94/1.54 c_SetInterval_Oord__class_OgreaterThan( X, Y ) ),
% 0.94/1.54 c_Orderings_Oord__class_Oless( X, Y, Z ) }.
% 0.94/1.54 { ! class_Orderings_Oord( X ), ! c_Orderings_Oord__class_Oless( X, Y, Z ),
% 0.94/1.54 c_member( X, Z, c_SetInterval_Oord__class_OgreaterThan( X, Y ) ) }.
% 0.94/1.54 { ! class_Orderings_Olinorder( X ), ! c_Orderings_Oord__class_Oless__eq(
% 0.94/1.54 tc_fun( X, tc_HOL_Obool ), c_SetInterval_Oord__class_OlessThan( X, Z ),
% 0.94/1.54 c_SetInterval_Oord__class_OlessThan( X, Y ) ),
% 0.94/1.54 c_Orderings_Oord__class_Oless__eq( X, Z, Y ) }.
% 0.94/1.54 { ! class_Orderings_Olinorder( X ), ! c_Orderings_Oord__class_Oless__eq( X
% 0.94/1.54 , Z, Y ), c_Orderings_Oord__class_Oless__eq( tc_fun( X, tc_HOL_Obool ),
% 0.94/1.54 c_SetInterval_Oord__class_OlessThan( X, Z ),
% 0.94/1.54 c_SetInterval_Oord__class_OlessThan( X, Y ) ) }.
% 0.94/1.54 { ! class_Orderings_Olinorder( X ), ! c_SetInterval_Oord__class_OlessThan(
% 0.94/1.54 X, Z ) = c_SetInterval_Oord__class_OlessThan( X, Y ), Z = Y }.
% 0.94/1.54 { ! class_Orderings_Olinorder( X ), ! Z = Y,
% 0.94/1.54 c_SetInterval_Oord__class_OlessThan( X, Z ) =
% 0.94/1.54 c_SetInterval_Oord__class_OlessThan( X, Y ) }.
% 0.94/1.54 { ! class_Orderings_Olinorder( X ), !
% 0.94/1.54 c_SetInterval_Oord__class_OgreaterThan( X, Z ) =
% 0.94/1.54 c_SetInterval_Oord__class_OgreaterThan( X, Y ), Z = Y }.
% 0.94/1.54 { ! class_Orderings_Olinorder( X ), ! Z = Y,
% 0.94/1.54 c_SetInterval_Oord__class_OgreaterThan( X, Z ) =
% 0.94/1.54 c_SetInterval_Oord__class_OgreaterThan( X, Y ) }.
% 0.94/1.54 { ! class_Orderings_Oord( X ), ! c_member( X, Z,
% 0.94/1.54 c_SetInterval_Oord__class_OlessThan( X, Y ) ),
% 0.94/1.54 c_Orderings_Oord__class_Oless( X, Z, Y ) }.
% 0.94/1.54 { ! class_Orderings_Oord( X ), ! c_Orderings_Oord__class_Oless( X, Z, Y ),
% 0.94/1.54 c_member( X, Z, c_SetInterval_Oord__class_OlessThan( X, Y ) ) }.
% 0.94/1.54 { ! class_Orderings_Oorder( X ), ! c_Orderings_Oord__class_Oless__eq(
% 0.94/1.54 tc_fun( X, tc_HOL_Obool ), c_SetInterval_Oord__class_OatMost( X, Z ),
% 0.94/1.54 c_SetInterval_Oord__class_OatMost( X, Y ) ),
% 0.94/1.54 c_Orderings_Oord__class_Oless__eq( X, Z, Y ) }.
% 0.94/1.54 { ! class_Orderings_Oorder( X ), ! c_Orderings_Oord__class_Oless__eq( X, Z
% 0.94/1.54 , Y ), c_Orderings_Oord__class_Oless__eq( tc_fun( X, tc_HOL_Obool ),
% 0.94/1.54 c_SetInterval_Oord__class_OatMost( X, Z ),
% 0.94/1.54 c_SetInterval_Oord__class_OatMost( X, Y ) ) }.
% 0.94/1.54 { ! class_Orderings_Oorder( X ), ! c_Orderings_Oord__class_Oless__eq(
% 0.94/1.54 tc_fun( X, tc_HOL_Obool ), c_SetInterval_Oord__class_OatLeast( X, Z ),
% 0.94/1.54 c_SetInterval_Oord__class_OatLeast( X, Y ) ),
% 0.94/1.54 c_Orderings_Oord__class_Oless__eq( X, Y, Z ) }.
% 0.94/1.54 { ! class_Orderings_Oorder( X ), ! c_Orderings_Oord__class_Oless__eq( X, Y
% 0.94/1.54 , Z ), c_Orderings_Oord__class_Oless__eq( tc_fun( X, tc_HOL_Obool ),
% 0.94/1.54 c_SetInterval_Oord__class_OatLeast( X, Z ),
% 0.94/1.54 c_SetInterval_Oord__class_OatLeast( X, Y ) ) }.
% 0.94/1.54 { ! class_Orderings_Oord( X ), ! c_member( X, Z,
% 0.94/1.54 c_SetInterval_Oord__class_OatMost( X, Y ) ),
% 0.94/1.54 c_Orderings_Oord__class_Oless__eq( X, Z, Y ) }.
% 0.94/1.54 { ! class_Orderings_Oord( X ), ! c_Orderings_Oord__class_Oless__eq( X, Z, Y
% 0.94/1.54 ), c_member( X, Z, c_SetInterval_Oord__class_OatMost( X, Y ) ) }.
% 0.94/1.54 { ! class_Orderings_Oord( X ), ! c_member( X, Z,
% 0.94/1.54 c_SetInterval_Oord__class_OatLeast( X, Y ) ),
% 0.94/1.54 c_Orderings_Oord__class_Oless__eq( X, Y, Z ) }.
% 0.94/1.54 { ! class_Orderings_Oord( X ), ! c_Orderings_Oord__class_Oless__eq( X, Y, Z
% 0.94/1.54 ), c_member( X, Z, c_SetInterval_Oord__class_OatLeast( X, Y ) ) }.
% 0.94/1.54 { ! c_Orderings_Oord__class_Oless__eq( tc_RealDef_Oreal, Y, X ),
% 0.94/1.54 c_Orderings_Oord__class_Oless__eq( tc_Nat_Onat, c_RComplete_Onatceiling(
% 0.94/1.54 Y ), c_RComplete_Onatceiling( X ) ) }.
% 0.94/1.54 { c_Orderings_Oord__class_Oless( tc_Nat_Onat, skol39( X ), skol95( X ) ), !
% 0.94/1.54 c_Orderings_Oord__class_Oless__eq( tc_Nat_Onat, Z, Y ),
% 0.94/1.54 c_Orderings_Oord__class_Oless__eq( tc_Nat_Onat, hAPP( X, Z ), hAPP( X, Y
% 0.94/1.54 ) ) }.
% 0.94/1.54 { ! c_Orderings_Oord__class_Oless( tc_Nat_Onat, hAPP( X, skol39( X ) ),
% 0.94/1.54 hAPP( X, skol95( X ) ) ), ! c_Orderings_Oord__class_Oless__eq(
% 0.94/1.54 tc_Nat_Onat, Z, Y ), c_Orderings_Oord__class_Oless__eq( tc_Nat_Onat, hAPP
% 0.94/1.54 ( X, Z ), hAPP( X, Y ) ) }.
% 0.94/1.54 { ! c_member( Z, Y, X ), ! c_member( Z, Y, skol40( T, Y, Z ) ) }.
% 0.94/1.54 { ! c_member( Z, Y, X ), X = c_Set_Oinsert( Z, Y, skol40( X, Y, Z ) ) }.
% 0.94/1.54 { ! class_Orderings_Olinorder( X ), ! c_SetInterval_Oord__class_OatLeast( X
% 0.94/1.54 , Z ) = c_SetInterval_Oord__class_OatLeast( X, Y ), Z = Y }.
% 0.94/1.54 { ! class_Orderings_Olinorder( X ), ! Z = Y,
% 0.94/1.54 c_SetInterval_Oord__class_OatLeast( X, Z ) =
% 0.94/1.54 c_SetInterval_Oord__class_OatLeast( X, Y ) }.
% 0.94/1.54 { ! class_Orderings_Olinorder( X ), ! c_SetInterval_Oord__class_OatMost( X
% 0.94/1.54 , Z ) = c_SetInterval_Oord__class_OatMost( X, Y ), Z = Y }.
% 0.94/1.54 { ! class_Orderings_Olinorder( X ), ! Z = Y,
% 0.94/1.54 c_SetInterval_Oord__class_OatMost( X, Z ) =
% 0.94/1.54 c_SetInterval_Oord__class_OatMost( X, Y ) }.
% 0.94/1.54 { ! class_Orderings_Olinorder( X ), ! c_Orderings_Oord__class_Oless__eq( X
% 0.94/1.54 , Z, Y ), c_Lattices_Osemilattice__sup__class_Osup( tc_fun( X,
% 0.94/1.54 tc_HOL_Obool ), c_SetInterval_Oord__class_OatLeastAtMost( X, Z, Y ),
% 0.94/1.54 c_SetInterval_Oord__class_OgreaterThan( X, Y ) ) =
% 0.94/1.54 c_SetInterval_Oord__class_OatLeast( X, Z ) }.
% 0.94/1.54 { ! class_Orderings_Olinorder( X ), ! c_Orderings_Oord__class_Oless__eq( X
% 0.94/1.54 , Z, Y ), c_Lattices_Osemilattice__sup__class_Osup( tc_fun( X,
% 0.94/1.54 tc_HOL_Obool ), c_SetInterval_Oord__class_OlessThan( X, Z ),
% 0.94/1.54 c_SetInterval_Oord__class_OatLeastAtMost( X, Z, Y ) ) =
% 0.94/1.54 c_SetInterval_Oord__class_OatMost( X, Y ) }.
% 0.94/1.54 { ! c_Orderings_Oord__class_Oless__eq( tc_RealDef_Oreal, Y, c_RealDef_Oreal
% 0.94/1.54 ( tc_Nat_Onat, X ) ), c_Orderings_Oord__class_Oless__eq( tc_Nat_Onat,
% 0.94/1.54 c_RComplete_Onatceiling( Y ), X ) }.
% 0.94/1.54 { c_Orderings_Oord__class_Oless__eq( tc_Nat_Onat,
% 0.94/1.54 c_Groups_Ozero__class_Ozero( tc_Nat_Onat ), c_RComplete_Onatceiling( X )
% 0.94/1.54 ) }.
% 0.94/1.54 { ! c_member( Z, Y, X ), ! c_member( Z, Y, skol41( T, Y, Z ) ) }.
% 0.94/1.54 { ! c_member( Z, Y, X ), X = c_Set_Oinsert( Z, Y, skol41( X, Y, Z ) ) }.
% 0.94/1.54 { ! c_SEQ_Osubseq( X ), c_Orderings_Oord__class_Oless__eq( tc_Nat_Onat, Y,
% 0.94/1.54 hAPP( X, Y ) ) }.
% 0.94/1.54 { ! c_Orderings_Oord__class_Oless__eq( tc_RealDef_Oreal, Y, X ),
% 0.94/1.54 c_Orderings_Oord__class_Oless__eq( tc_Nat_Onat, c_RComplete_Onatfloor( Y
% 0.94/1.54 ), c_RComplete_Onatfloor( X ) ) }.
% 0.94/1.54 { ! hBOOL( hAPP( c_Lattices_Osemilattice__sup__class_Osup( tc_fun( T,
% 0.94/1.54 tc_HOL_Obool ), Z, Y ), X ) ), hBOOL( hAPP( Z, X ) ), hBOOL( hAPP( Y, X )
% 0.94/1.54 ) }.
% 0.94/1.54 { ! hBOOL( hAPP( Z, Y ) ), hBOOL( hAPP(
% 0.94/1.54 c_Lattices_Osemilattice__sup__class_Osup( tc_fun( T, tc_HOL_Obool ), X, Z
% 0.94/1.54 ), Y ) ) }.
% 0.94/1.54 { ! hBOOL( hAPP( X, Y ) ), hBOOL( hAPP(
% 0.94/1.54 c_Lattices_Osemilattice__sup__class_Osup( tc_fun( T, tc_HOL_Obool ), X, Z
% 0.94/1.54 ), Y ) ) }.
% 0.94/1.54 { ! c_member( T, Z, Y ), c_member( T, Z,
% 0.94/1.54 c_Lattices_Osemilattice__sup__class_Osup( tc_fun( T, tc_HOL_Obool ), X, Y
% 0.94/1.54 ) ) }.
% 0.94/1.54 { ! c_member( T, Z, X ), c_member( T, Z,
% 0.94/1.54 c_Lattices_Osemilattice__sup__class_Osup( tc_fun( T, tc_HOL_Obool ), X, Y
% 0.94/1.54 ) ) }.
% 0.94/1.54 { ! c_member( T, Z, c_Lattices_Osemilattice__sup__class_Osup( tc_fun( T,
% 0.94/1.54 tc_HOL_Obool ), Y, X ) ), c_member( T, Z, Y ), c_member( T, Z, X ) }.
% 0.94/1.54 { ! c_Orderings_Oord__class_Oless( tc_Nat_Onat, X,
% 0.94/1.54 c_Groups_Ozero__class_Ozero( tc_Nat_Onat ) ) }.
% 0.94/1.54 { c_Orderings_Oord__class_Oless__eq( tc_Nat_Onat,
% 0.94/1.54 c_Groups_Ozero__class_Ozero( tc_Nat_Onat ), X ) }.
% 0.94/1.54 { c_SetInterval_Oord__class_OatLeast( tc_Nat_Onat,
% 0.94/1.54 c_Groups_Ozero__class_Ozero( tc_Nat_Onat ) ) =
% 0.94/1.54 c_Orderings_Otop__class_Otop( tc_fun( tc_Nat_Onat, tc_HOL_Obool ) ) }.
% 0.94/1.54 { c_SetInterval_Oord__class_OatLeastAtMost( tc_Nat_Onat,
% 0.94/1.54 c_Groups_Ozero__class_Ozero( tc_Nat_Onat ), X ) =
% 0.94/1.54 c_SetInterval_Oord__class_OatMost( tc_Nat_Onat, X ) }.
% 0.94/1.54 { c_Orderings_Oord__class_Oless__eq( tc_Nat_Onat,
% 0.94/1.54 c_Groups_Ozero__class_Ozero( tc_Nat_Onat ), c_RComplete_Onatfloor( X ) )
% 0.94/1.54 }.
% 0.94/1.54 { c_RComplete_Onatfloor( c_RealDef_Oreal( tc_Nat_Onat, X ) ) = X }.
% 0.94/1.54 { c_Lattices_Osemilattice__sup__class_Osup( tc_fun( Y, tc_HOL_Obool ), X, X
% 0.94/1.54 ) = X }.
% 0.94/1.54 { c_Lattices_Osemilattice__sup__class_Osup( tc_fun( Z, tc_HOL_Obool ), Y, X
% 0.94/1.54 ) = c_Lattices_Osemilattice__sup__class_Osup( tc_fun( Z, tc_HOL_Obool )
% 0.94/1.54 , X, Y ) }.
% 0.94/1.54 { c_Lattices_Osemilattice__sup__class_Osup( tc_fun( Z, tc_HOL_Obool ), Y,
% 0.94/1.54 c_Lattices_Osemilattice__sup__class_Osup( tc_fun( Z, tc_HOL_Obool ), Y, X
% 0.94/1.54 ) ) = c_Lattices_Osemilattice__sup__class_Osup( tc_fun( Z, tc_HOL_Obool
% 0.94/1.54 ), Y, X ) }.
% 0.94/1.54 { c_Lattices_Osemilattice__sup__class_Osup( tc_fun( T, tc_HOL_Obool ), Z,
% 0.94/1.54 c_Lattices_Osemilattice__sup__class_Osup( tc_fun( T, tc_HOL_Obool ), Y, X
% 0.94/1.54 ) ) = c_Lattices_Osemilattice__sup__class_Osup( tc_fun( T, tc_HOL_Obool
% 0.94/1.54 ), Y, c_Lattices_Osemilattice__sup__class_Osup( tc_fun( T, tc_HOL_Obool
% 0.94/1.54 ), Z, X ) ) }.
% 0.94/1.54 { c_Lattices_Osemilattice__sup__class_Osup( tc_fun( T, tc_HOL_Obool ),
% 0.94/1.54 c_Lattices_Osemilattice__sup__class_Osup( tc_fun( T, tc_HOL_Obool ), Z, Y
% 0.94/1.54 ), X ) = c_Lattices_Osemilattice__sup__class_Osup( tc_fun( T,
% 0.94/1.54 tc_HOL_Obool ), Z, c_Lattices_Osemilattice__sup__class_Osup( tc_fun( T,
% 0.94/1.54 tc_HOL_Obool ), Y, X ) ) }.
% 0.94/1.54 { ! alpha33( X, Y, Z, T ), alpha4( X, Z, T ), alpha22( X, Y, T ) }.
% 0.94/1.54 { ! alpha4( X, Z, T ), alpha33( X, Y, Z, T ) }.
% 0.94/1.54 { ! alpha22( X, Y, T ), alpha33( X, Y, Z, T ) }.
% 0.94/1.54 { ! alpha33( X, Y, Z, T ), hBOOL( hAPP( X, skol42( X, U, W, V0 ) ) ) }.
% 0.94/1.54 { ! alpha33( X, Y, Z, T ), c_member( T, skol42( X, Y, Z, T ),
% 0.94/1.54 c_Lattices_Osemilattice__sup__class_Osup( tc_fun( T, tc_HOL_Obool ), Z, Y
% 0.94/1.54 ) ) }.
% 0.94/1.54 { ! c_member( T, U, c_Lattices_Osemilattice__sup__class_Osup( tc_fun( T,
% 0.94/1.54 tc_HOL_Obool ), Z, Y ) ), ! hBOOL( hAPP( X, U ) ), alpha33( X, Y, Z, T )
% 0.94/1.54 }.
% 0.94/1.54 { ! alpha22( X, Y, Z ), hBOOL( hAPP( X, skol43( X, T, U ) ) ) }.
% 0.94/1.54 { ! alpha22( X, Y, Z ), c_member( Z, skol43( X, Y, Z ), Y ) }.
% 0.94/1.54 { ! c_member( Z, T, Y ), ! hBOOL( hAPP( X, T ) ), alpha22( X, Y, Z ) }.
% 0.94/1.54 { ! alpha4( X, Y, Z ), hBOOL( hAPP( X, skol44( X, T, U ) ) ) }.
% 0.94/1.54 { ! alpha4( X, Y, Z ), c_member( Z, skol44( X, Y, Z ), Y ) }.
% 0.94/1.54 { ! c_member( Z, T, Y ), ! hBOOL( hAPP( X, T ) ), alpha4( X, Y, Z ) }.
% 0.94/1.54 { ! alpha34( X, Y, Z, T ), alpha5( X, Z, T ) }.
% 0.94/1.54 { ! alpha34( X, Y, Z, T ), alpha23( X, Y, T ) }.
% 0.94/1.54 { ! alpha5( X, Z, T ), ! alpha23( X, Y, T ), alpha34( X, Y, Z, T ) }.
% 0.94/1.54 { ! alpha34( X, Y, Z, T ), ! c_member( T, U,
% 0.94/1.54 c_Lattices_Osemilattice__sup__class_Osup( tc_fun( T, tc_HOL_Obool ), Z, Y
% 0.94/1.54 ) ), hBOOL( hAPP( X, U ) ) }.
% 0.94/1.54 { ! hBOOL( hAPP( X, skol45( X, U, W, V0 ) ) ), alpha34( X, Y, Z, T ) }.
% 0.94/1.54 { c_member( T, skol45( X, Y, Z, T ),
% 0.94/1.54 c_Lattices_Osemilattice__sup__class_Osup( tc_fun( T, tc_HOL_Obool ), Z, Y
% 0.94/1.54 ) ), alpha34( X, Y, Z, T ) }.
% 0.94/1.54 { ! alpha23( X, Y, Z ), ! c_member( Z, T, Y ), hBOOL( hAPP( X, T ) ) }.
% 0.94/1.54 { ! hBOOL( hAPP( X, skol46( X, T, U ) ) ), alpha23( X, Y, Z ) }.
% 0.94/1.54 { c_member( Z, skol46( X, Y, Z ), Y ), alpha23( X, Y, Z ) }.
% 0.94/1.54 { ! alpha5( X, Y, Z ), ! c_member( Z, T, Y ), hBOOL( hAPP( X, T ) ) }.
% 0.94/1.54 { ! hBOOL( hAPP( X, skol47( X, T, U ) ) ), alpha5( X, Y, Z ) }.
% 0.94/1.54 { c_member( Z, skol47( X, Y, Z ), Y ), alpha5( X, Y, Z ) }.
% 0.94/1.54 { ! hBOOL( hAPP( Y, X ) ), hBOOL( hAPP(
% 0.94/1.54 c_Lattices_Osemilattice__sup__class_Osup( tc_fun( T, tc_HOL_Obool ), Y, Z
% 0.94/1.54 ), X ) ) }.
% 0.94/1.54 { ! hBOOL( hAPP( Y, X ) ), hBOOL( hAPP(
% 0.94/1.54 c_Lattices_Osemilattice__sup__class_Osup( tc_fun( T, tc_HOL_Obool ), Z, Y
% 0.94/1.54 ), X ) ) }.
% 0.94/1.54 { ! c_RealDef_Oreal( tc_Nat_Onat, Y ) = c_RealDef_Oreal( tc_Nat_Onat, X ),
% 0.94/1.54 Y = X }.
% 0.94/1.54 { ! Y = X, c_RealDef_Oreal( tc_Nat_Onat, Y ) = c_RealDef_Oreal( tc_Nat_Onat
% 0.94/1.54 , X ) }.
% 0.94/1.54 { ! c_Orderings_Oord__class_Oless__eq( tc_RealDef_Oreal, c_RealDef_Oreal(
% 0.94/1.54 tc_Nat_Onat, Y ), X ), c_Orderings_Oord__class_Oless__eq( tc_Nat_Onat, Y
% 0.94/1.54 , c_RComplete_Onatfloor( X ) ) }.
% 0.94/1.54 { ! c_member( Z, Y, X ), c_member( Z, Y,
% 0.94/1.54 c_Lattices_Osemilattice__sup__class_Osup( tc_fun( Z, tc_HOL_Obool ), T, X
% 0.94/1.54 ) ) }.
% 0.94/1.54 { ! c_member( Z, Y, X ), c_member( Z, Y,
% 0.94/1.54 c_Lattices_Osemilattice__sup__class_Osup( tc_fun( Z, tc_HOL_Obool ), X, T
% 0.94/1.54 ) ) }.
% 0.94/1.54 { ! c_member( T, Z, c_Lattices_Osemilattice__sup__class_Osup( tc_fun( T,
% 0.94/1.54 tc_HOL_Obool ), Y, X ) ), c_member( T, Z, Y ), c_member( T, Z, X ) }.
% 0.94/1.54 { ! c_member( T, Z, Y ), c_member( T, Z,
% 0.94/1.54 c_Lattices_Osemilattice__sup__class_Osup( tc_fun( T, tc_HOL_Obool ), Y, X
% 0.94/1.54 ) ) }.
% 0.94/1.54 { ! c_member( T, Z, X ), c_member( T, Z,
% 0.94/1.54 c_Lattices_Osemilattice__sup__class_Osup( tc_fun( T, tc_HOL_Obool ), Y, X
% 0.94/1.54 ) ) }.
% 0.94/1.54 { c_Lattices_Osemilattice__sup__class_Osup( tc_fun( T, tc_HOL_Obool ), Z,
% 0.94/1.54 c_Set_Oinsert( T, Y, X ) ) = c_Set_Oinsert( T, Y,
% 0.94/1.54 c_Lattices_Osemilattice__sup__class_Osup( tc_fun( T, tc_HOL_Obool ), Z, X
% 0.94/1.54 ) ) }.
% 0.94/1.54 { c_Lattices_Osemilattice__sup__class_Osup( tc_fun( T, tc_HOL_Obool ),
% 0.94/1.54 c_Set_Oinsert( T, Z, Y ), X ) = c_Set_Oinsert( T, Z,
% 0.94/1.54 c_Lattices_Osemilattice__sup__class_Osup( tc_fun( T, tc_HOL_Obool ), Y, X
% 0.94/1.54 ) ) }.
% 0.94/1.54 { c_Lattices_Osemilattice__sup__class_Osup( tc_fun( Y, tc_HOL_Obool ), X,
% 0.94/1.54 c_Orderings_Otop__class_Otop( tc_fun( Y, tc_HOL_Obool ) ) ) =
% 0.94/1.54 c_Orderings_Otop__class_Otop( tc_fun( Y, tc_HOL_Obool ) ) }.
% 0.94/1.54 { c_Lattices_Osemilattice__sup__class_Osup( tc_fun( Y, tc_HOL_Obool ),
% 0.94/1.54 c_Orderings_Otop__class_Otop( tc_fun( Y, tc_HOL_Obool ) ), X ) =
% 0.94/1.54 c_Orderings_Otop__class_Otop( tc_fun( Y, tc_HOL_Obool ) ) }.
% 0.94/1.54 { c_Orderings_Oord__class_Oless__eq( tc_fun( Z, tc_HOL_Obool ), Y,
% 0.94/1.54 c_Lattices_Osemilattice__sup__class_Osup( tc_fun( Z, tc_HOL_Obool ), Y, X
% 0.94/1.54 ) ) }.
% 0.94/1.54 { c_Orderings_Oord__class_Oless__eq( tc_fun( Z, tc_HOL_Obool ), Y,
% 0.94/1.54 c_Lattices_Osemilattice__sup__class_Osup( tc_fun( Z, tc_HOL_Obool ), X, Y
% 0.94/1.54 ) ) }.
% 0.94/1.54 { ! c_Orderings_Oord__class_Oless__eq( tc_fun( Z, tc_HOL_Obool ), Y, X ),
% 0.94/1.54 c_Lattices_Osemilattice__sup__class_Osup( tc_fun( Z, tc_HOL_Obool ), Y, X
% 0.94/1.54 ) = X }.
% 0.94/1.54 { ! c_Lattices_Osemilattice__sup__class_Osup( tc_fun( Z, tc_HOL_Obool ), Y
% 0.94/1.54 , X ) = X, c_Orderings_Oord__class_Oless__eq( tc_fun( Z, tc_HOL_Obool ),
% 0.94/1.54 Y, X ) }.
% 0.94/1.54 { ! c_Orderings_Oord__class_Oless__eq( tc_fun( Z, tc_HOL_Obool ), Y, X ),
% 0.94/1.54 c_Lattices_Osemilattice__sup__class_Osup( tc_fun( Z, tc_HOL_Obool ), Y, X
% 0.94/1.54 ) = X }.
% 0.94/1.54 { ! c_Orderings_Oord__class_Oless__eq( tc_fun( Z, tc_HOL_Obool ), Y, X ),
% 0.94/1.54 c_Lattices_Osemilattice__sup__class_Osup( tc_fun( Z, tc_HOL_Obool ), X, Y
% 0.94/1.54 ) = X }.
% 0.94/1.54 { ! c_Orderings_Oord__class_Oless__eq( tc_fun( Z, tc_HOL_Obool ), Y, X ), !
% 0.94/1.54 c_Orderings_Oord__class_Oless__eq( tc_fun( Z, tc_HOL_Obool ), T, X ),
% 0.94/1.54 c_Orderings_Oord__class_Oless__eq( tc_fun( Z, tc_HOL_Obool ),
% 0.94/1.54 c_Lattices_Osemilattice__sup__class_Osup( tc_fun( Z, tc_HOL_Obool ), Y, T
% 0.94/1.54 ), X ) }.
% 0.94/1.54 { ! c_Orderings_Oord__class_Oless__eq( tc_fun( Z, tc_HOL_Obool ), Y, X ), !
% 0.94/1.54 c_Orderings_Oord__class_Oless__eq( tc_fun( Z, tc_HOL_Obool ), U, T ),
% 0.94/1.54 c_Orderings_Oord__class_Oless__eq( tc_fun( Z, tc_HOL_Obool ),
% 0.94/1.54 c_Lattices_Osemilattice__sup__class_Osup( tc_fun( Z, tc_HOL_Obool ), Y, U
% 0.94/1.54 ), c_Lattices_Osemilattice__sup__class_Osup( tc_fun( Z, tc_HOL_Obool ),
% 0.94/1.54 X, T ) ) }.
% 0.94/1.54 { c_Orderings_Oord__class_Oless__eq( tc_fun( tc_fun( Z, tc_HOL_Obool ),
% 0.94/1.54 tc_HOL_Obool ), c_Lattices_Osemilattice__sup__class_Osup( tc_fun( tc_fun
% 0.94/1.54 ( Z, tc_HOL_Obool ), tc_HOL_Obool ), c_Set_OPow( Z, Y ), c_Set_OPow( Z, X
% 0.94/1.54 ) ), c_Set_OPow( Z, c_Lattices_Osemilattice__sup__class_Osup( tc_fun( Z
% 0.94/1.54 , tc_HOL_Obool ), Y, X ) ) ) }.
% 0.94/1.54 { X = c_Groups_Ozero__class_Ozero( tc_Nat_Onat ),
% 0.94/1.54 c_Orderings_Oord__class_Oless( tc_Nat_Onat, c_Groups_Ozero__class_Ozero(
% 0.94/1.54 tc_Nat_Onat ), X ) }.
% 0.94/1.54 { ! c_Orderings_Oord__class_Oless( tc_Nat_Onat, Y, X ), ! X =
% 0.94/1.54 c_Groups_Ozero__class_Ozero( tc_Nat_Onat ) }.
% 0.94/1.54 { ! c_Orderings_Oord__class_Oless( tc_Nat_Onat, X,
% 0.94/1.54 c_Groups_Ozero__class_Ozero( tc_Nat_Onat ) ) }.
% 0.94/1.54 { X = c_Groups_Ozero__class_Ozero( tc_Nat_Onat ),
% 0.94/1.54 c_Orderings_Oord__class_Oless( tc_Nat_Onat, c_Groups_Ozero__class_Ozero(
% 0.94/1.54 tc_Nat_Onat ), X ) }.
% 0.94/1.54 { ! c_Orderings_Oord__class_Oless( tc_Nat_Onat, c_Groups_Ozero__class_Ozero
% 0.94/1.54 ( tc_Nat_Onat ), X ), ! X = c_Groups_Ozero__class_Ozero( tc_Nat_Onat ) }
% 0.94/1.54 .
% 0.94/1.54 { ! c_Orderings_Oord__class_Oless( tc_Nat_Onat, X,
% 0.94/1.54 c_Groups_Ozero__class_Ozero( tc_Nat_Onat ) ) }.
% 0.94/1.54 { ! c_Orderings_Oord__class_Oless__eq( tc_Nat_Onat, X,
% 0.94/1.54 c_Groups_Ozero__class_Ozero( tc_Nat_Onat ) ), X =
% 0.94/1.54 c_Groups_Ozero__class_Ozero( tc_Nat_Onat ) }.
% 0.94/1.54 { ! X = c_Groups_Ozero__class_Ozero( tc_Nat_Onat ),
% 0.94/1.54 c_Orderings_Oord__class_Oless__eq( tc_Nat_Onat, X,
% 0.94/1.54 c_Groups_Ozero__class_Ozero( tc_Nat_Onat ) ) }.
% 0.94/1.54 { c_Orderings_Oord__class_Oless__eq( tc_Nat_Onat,
% 0.94/1.54 c_Groups_Ozero__class_Ozero( tc_Nat_Onat ), X ) }.
% 0.94/1.54 { c_RComplete_Onatceiling( c_RealDef_Oreal( tc_Nat_Onat, X ) ) = X }.
% 0.94/1.54 { ! c_Orderings_Oord__class_Oless( tc_RealDef_Oreal, c_RealDef_Oreal(
% 0.94/1.54 tc_Nat_Onat, Y ), c_RealDef_Oreal( tc_Nat_Onat, X ) ),
% 0.94/1.54 c_Orderings_Oord__class_Oless( tc_Nat_Onat, Y, X ) }.
% 0.94/1.54 { ! c_Orderings_Oord__class_Oless( tc_Nat_Onat, Y, X ),
% 0.94/1.54 c_Orderings_Oord__class_Oless( tc_RealDef_Oreal, c_RealDef_Oreal(
% 0.94/1.54 tc_Nat_Onat, Y ), c_RealDef_Oreal( tc_Nat_Onat, X ) ) }.
% 0.94/1.54 { ! c_Orderings_Oord__class_Oless__eq( tc_RealDef_Oreal, c_RealDef_Oreal(
% 0.94/1.54 tc_Nat_Onat, Y ), c_RealDef_Oreal( tc_Nat_Onat, X ) ),
% 0.94/1.54 c_Orderings_Oord__class_Oless__eq( tc_Nat_Onat, Y, X ) }.
% 0.94/1.54 { ! c_Orderings_Oord__class_Oless__eq( tc_Nat_Onat, Y, X ),
% 0.94/1.54 c_Orderings_Oord__class_Oless__eq( tc_RealDef_Oreal, c_RealDef_Oreal(
% 0.94/1.54 tc_Nat_Onat, Y ), c_RealDef_Oreal( tc_Nat_Onat, X ) ) }.
% 0.94/1.54 { c_Orderings_Oord__class_Oless__eq( tc_RealDef_Oreal, X, c_RealDef_Oreal(
% 0.94/1.54 tc_Nat_Onat, c_RComplete_Onatceiling( X ) ) ) }.
% 0.94/1.54 { ! c_SEQ_Osubseq( X ), ! c_Orderings_Oord__class_Oless( tc_Nat_Onat, Y, Z
% 0.94/1.54 ), c_Orderings_Oord__class_Oless( tc_Nat_Onat, hAPP( X, Y ), hAPP( X, Z
% 0.94/1.54 ) ) }.
% 0.94/1.54 { c_Orderings_Oord__class_Oless( tc_Nat_Onat, skol48( X ), skol96( X ) ),
% 0.94/1.54 c_SEQ_Osubseq( X ) }.
% 0.94/1.54 { ! c_Orderings_Oord__class_Oless( tc_Nat_Onat, hAPP( X, skol48( X ) ),
% 0.94/1.54 hAPP( X, skol96( X ) ) ), c_SEQ_Osubseq( X ) }.
% 0.94/1.54 { ! class_Lattices_Olattice( X ), hAPP(
% 0.94/1.54 c_Lattices_Osemilattice__sup__class_Osup( tc_fun( U, X ), T, Z ), Y ) =
% 0.94/1.54 c_Lattices_Osemilattice__sup__class_Osup( X, hAPP( T, Y ), hAPP( Z, Y ) )
% 0.94/1.54 }.
% 0.94/1.54 { ! class_Lattices_Obounded__lattice__top( X ),
% 0.94/1.54 c_Lattices_Osemilattice__sup__class_Osup( X, Y,
% 0.94/1.54 c_Orderings_Otop__class_Otop( X ) ) = c_Orderings_Otop__class_Otop( X ) }
% 0.94/1.54 .
% 0.94/1.54 { ! class_Lattices_Obounded__lattice__top( X ),
% 0.94/1.54 c_Lattices_Osemilattice__sup__class_Osup( X, c_Orderings_Otop__class_Otop
% 0.94/1.54 ( X ), Y ) = c_Orderings_Otop__class_Otop( X ) }.
% 0.94/1.54 { ! alpha6( X, Y ), ! c_member( tc_Nat_Onat, Z,
% 0.94/1.54 c_SetInterval_Oord__class_OatLeastAtMost( tc_Nat_Onat,
% 0.94/1.54 c_Groups_Ozero__class_Ozero( tc_Nat_Onat ), Y ) ), hBOOL( hAPP( X, Z ) )
% 0.94/1.54 }.
% 0.94/1.54 { c_member( tc_Nat_Onat, skol49( Z, Y ),
% 0.94/1.54 c_SetInterval_Oord__class_OatLeastAtMost( tc_Nat_Onat,
% 0.94/1.54 c_Groups_Ozero__class_Ozero( tc_Nat_Onat ), Y ) ), alpha6( X, Y ) }.
% 0.94/1.54 { ! hBOOL( hAPP( X, skol49( X, Y ) ) ), alpha6( X, Y ) }.
% 0.94/1.54 { ! alpha6( X, Y ), ! c_Orderings_Oord__class_Oless__eq( tc_Nat_Onat, Z, Y
% 0.94/1.54 ), hBOOL( hAPP( X, Z ) ) }.
% 0.94/1.54 { c_Orderings_Oord__class_Oless__eq( tc_Nat_Onat, skol50( Z, Y ), Y ),
% 0.94/1.54 alpha6( X, Y ) }.
% 0.94/1.54 { ! hBOOL( hAPP( X, skol50( X, Y ) ) ), alpha6( X, Y ) }.
% 0.94/1.54 { ! alpha7( X, Y ), c_member( tc_Nat_Onat, skol51( Z, Y ),
% 0.94/1.54 c_SetInterval_Oord__class_OatLeastAtMost( tc_Nat_Onat,
% 0.94/1.54 c_Groups_Ozero__class_Ozero( tc_Nat_Onat ), Y ) ) }.
% 0.94/1.54 { ! alpha7( X, Y ), hBOOL( hAPP( X, skol51( X, Y ) ) ) }.
% 0.94/1.54 { ! c_member( tc_Nat_Onat, Z, c_SetInterval_Oord__class_OatLeastAtMost(
% 0.94/1.54 tc_Nat_Onat, c_Groups_Ozero__class_Ozero( tc_Nat_Onat ), Y ) ), ! hBOOL(
% 0.94/1.54 hAPP( X, Z ) ), alpha7( X, Y ) }.
% 0.94/1.54 { ! alpha7( X, Y ), c_Orderings_Oord__class_Oless__eq( tc_Nat_Onat, skol52
% 0.94/1.54 ( Z, Y ), Y ) }.
% 0.94/1.54 { ! alpha7( X, Y ), hBOOL( hAPP( X, skol52( X, Y ) ) ) }.
% 0.94/1.54 { ! c_Orderings_Oord__class_Oless__eq( tc_Nat_Onat, Z, Y ), ! hBOOL( hAPP(
% 0.94/1.54 X, Z ) ), alpha7( X, Y ) }.
% 0.94/1.54 { ! class_Lattices_Osemilattice__sup( X ), ! c_Orderings_Oord__class_Oless
% 0.94/1.54 ( X, Z, Y ), c_Orderings_Oord__class_Oless( X, Z,
% 0.94/1.54 c_Lattices_Osemilattice__sup__class_Osup( X, T, Y ) ) }.
% 0.94/1.54 { ! class_Lattices_Osemilattice__sup( X ), ! c_Orderings_Oord__class_Oless
% 0.94/1.54 ( X, Z, Y ), c_Orderings_Oord__class_Oless( X, Z,
% 0.94/1.54 c_Lattices_Osemilattice__sup__class_Osup( X, Y, T ) ) }.
% 0.94/1.54 { ! class_Lattices_Osemilattice__sup( X ),
% 0.94/1.54 c_Lattices_Osemilattice__sup__class_Osup( X, Y, Y ) = Y }.
% 0.94/1.54 { ! class_Lattices_Osemilattice__sup( X ),
% 0.94/1.54 c_Lattices_Osemilattice__sup__class_Osup( X, Y, Y ) = Y }.
% 0.94/1.54 { ! class_Lattices_Osemilattice__sup( X ),
% 0.94/1.54 c_Lattices_Osemilattice__sup__class_Osup( X, Z, Y ) =
% 0.94/1.54 c_Lattices_Osemilattice__sup__class_Osup( X, Y, Z ) }.
% 0.94/1.54 { ! class_Lattices_Olattice( X ), c_Lattices_Osemilattice__sup__class_Osup
% 0.94/1.54 ( X, Z, Y ) = c_Lattices_Osemilattice__sup__class_Osup( X, Y, Z ) }.
% 0.94/1.54 { ! class_Lattices_Osemilattice__sup( X ),
% 0.94/1.54 c_Lattices_Osemilattice__sup__class_Osup( X, Z, Y ) =
% 0.94/1.54 c_Lattices_Osemilattice__sup__class_Osup( X, Y, Z ) }.
% 0.94/1.54 { ! class_Lattices_Osemilattice__sup( X ),
% 0.94/1.54 c_Lattices_Osemilattice__sup__class_Osup( X, Z,
% 0.94/1.54 c_Lattices_Osemilattice__sup__class_Osup( X, Z, Y ) ) =
% 0.94/1.54 c_Lattices_Osemilattice__sup__class_Osup( X, Z, Y ) }.
% 0.94/1.54 { ! class_Lattices_Olattice( X ), c_Lattices_Osemilattice__sup__class_Osup
% 0.94/1.54 ( X, Z, c_Lattices_Osemilattice__sup__class_Osup( X, Z, Y ) ) =
% 0.94/1.54 c_Lattices_Osemilattice__sup__class_Osup( X, Z, Y ) }.
% 0.94/1.54 { ! class_Lattices_Osemilattice__sup( X ),
% 0.94/1.54 c_Lattices_Osemilattice__sup__class_Osup( X, Z,
% 0.94/1.54 c_Lattices_Osemilattice__sup__class_Osup( X, Z, Y ) ) =
% 0.94/1.54 c_Lattices_Osemilattice__sup__class_Osup( X, Z, Y ) }.
% 0.94/1.54 { ! class_Lattices_Osemilattice__sup( X ),
% 0.94/1.54 c_Lattices_Osemilattice__sup__class_Osup( X, T,
% 0.94/1.54 c_Lattices_Osemilattice__sup__class_Osup( X, Z, Y ) ) =
% 0.94/1.54 c_Lattices_Osemilattice__sup__class_Osup( X, Z,
% 0.94/1.54 c_Lattices_Osemilattice__sup__class_Osup( X, T, Y ) ) }.
% 0.94/1.54 { ! class_Lattices_Olattice( X ), c_Lattices_Osemilattice__sup__class_Osup
% 0.94/1.54 ( X, T, c_Lattices_Osemilattice__sup__class_Osup( X, Z, Y ) ) =
% 0.94/1.54 c_Lattices_Osemilattice__sup__class_Osup( X, Z,
% 0.94/1.54 c_Lattices_Osemilattice__sup__class_Osup( X, T, Y ) ) }.
% 0.94/1.54 { ! class_Lattices_Osemilattice__sup( X ),
% 0.94/1.54 c_Lattices_Osemilattice__sup__class_Osup( X, T,
% 0.94/1.54 c_Lattices_Osemilattice__sup__class_Osup( X, Z, Y ) ) =
% 0.94/1.54 c_Lattices_Osemilattice__sup__class_Osup( X, Z,
% 0.94/1.54 c_Lattices_Osemilattice__sup__class_Osup( X, T, Y ) ) }.
% 0.94/1.54 { ! class_Lattices_Osemilattice__sup( X ),
% 0.94/1.54 c_Lattices_Osemilattice__sup__class_Osup( X,
% 0.94/1.54 c_Lattices_Osemilattice__sup__class_Osup( X, T, Z ), Y ) =
% 0.94/1.54 c_Lattices_Osemilattice__sup__class_Osup( X, T,
% 0.94/1.54 c_Lattices_Osemilattice__sup__class_Osup( X, Z, Y ) ) }.
% 0.94/1.54 { ! class_Lattices_Olattice( X ), c_Lattices_Osemilattice__sup__class_Osup
% 0.94/1.54 ( X, c_Lattices_Osemilattice__sup__class_Osup( X, T, Z ), Y ) =
% 0.94/1.54 c_Lattices_Osemilattice__sup__class_Osup( X, T,
% 0.94/1.54 c_Lattices_Osemilattice__sup__class_Osup( X, Z, Y ) ) }.
% 0.94/1.54 { ! class_Lattices_Osemilattice__sup( X ),
% 0.94/1.54 c_Lattices_Osemilattice__sup__class_Osup( X,
% 0.94/1.54 c_Lattices_Osemilattice__sup__class_Osup( X, T, Z ), Y ) =
% 0.94/1.54 c_Lattices_Osemilattice__sup__class_Osup( X, T,
% 0.94/1.54 c_Lattices_Osemilattice__sup__class_Osup( X, Z, Y ) ) }.
% 0.94/1.54 { ! class_Lattices_Osemilattice__sup( X ), !
% 0.94/1.54 c_Orderings_Oord__class_Oless__eq( X,
% 0.94/1.54 c_Lattices_Osemilattice__sup__class_Osup( X, T, Z ), Y ),
% 0.94/1.54 c_Orderings_Oord__class_Oless__eq( X, T, Y ) }.
% 0.94/1.54 { ! class_Lattices_Osemilattice__sup( X ), !
% 0.94/1.54 c_Orderings_Oord__class_Oless__eq( X,
% 0.94/1.54 c_Lattices_Osemilattice__sup__class_Osup( X, T, Z ), Y ),
% 0.94/1.54 c_Orderings_Oord__class_Oless__eq( X, Z, Y ) }.
% 0.94/1.54 { ! class_Lattices_Osemilattice__sup( X ), !
% 0.94/1.54 c_Orderings_Oord__class_Oless__eq( X, Z, Y ), !
% 0.94/1.54 c_Orderings_Oord__class_Oless__eq( X, U, T ),
% 0.94/1.54 c_Orderings_Oord__class_Oless__eq( X,
% 0.94/1.54 c_Lattices_Osemilattice__sup__class_Osup( X, Z, U ),
% 0.94/1.54 c_Lattices_Osemilattice__sup__class_Osup( X, Y, T ) ) }.
% 0.94/1.54 { ! class_Lattices_Osemilattice__sup( X ), !
% 0.94/1.54 c_Orderings_Oord__class_Oless__eq( X, Z, Y ), !
% 0.94/1.54 c_Orderings_Oord__class_Oless__eq( X, T, Y ),
% 0.94/1.54 c_Orderings_Oord__class_Oless__eq( X,
% 0.94/1.54 c_Lattices_Osemilattice__sup__class_Osup( X, Z, T ), Y ) }.
% 0.94/1.54 { ! class_Lattices_Osemilattice__sup( X ), !
% 0.94/1.54 c_Orderings_Oord__class_Oless__eq( X, Z, Y ), !
% 0.94/1.54 c_Orderings_Oord__class_Oless__eq( X, T, Y ),
% 0.94/1.54 c_Orderings_Oord__class_Oless__eq( X,
% 0.94/1.54 c_Lattices_Osemilattice__sup__class_Osup( X, Z, T ), Y ) }.
% 0.94/1.54 { ! class_Lattices_Osemilattice__sup( X ), !
% 0.94/1.54 c_Orderings_Oord__class_Oless__eq( X, Z, Y ),
% 0.94/1.54 c_Lattices_Osemilattice__sup__class_Osup( X, Y, Z ) = Y }.
% 0.94/1.54 { ! class_Lattices_Osemilattice__sup( X ), !
% 0.94/1.54 c_Orderings_Oord__class_Oless__eq( X, Z, Y ),
% 0.94/1.54 c_Lattices_Osemilattice__sup__class_Osup( X, Z, Y ) = Y }.
% 0.94/1.54 { ! class_Lattices_Osemilattice__sup( X ), !
% 0.94/1.54 c_Orderings_Oord__class_Oless__eq( X, Z, Y ),
% 0.94/1.54 c_Orderings_Oord__class_Oless__eq( X, Z,
% 0.94/1.54 c_Lattices_Osemilattice__sup__class_Osup( X, T, Y ) ) }.
% 0.94/1.54 { ! class_Lattices_Osemilattice__sup( X ), !
% 0.94/1.54 c_Orderings_Oord__class_Oless__eq( X, Z, Y ),
% 0.94/1.54 c_Orderings_Oord__class_Oless__eq( X, Z,
% 0.94/1.54 c_Lattices_Osemilattice__sup__class_Osup( X, Y, T ) ) }.
% 0.94/1.54 { ! class_Lattices_Osemilattice__sup( X ), !
% 0.94/1.54 c_Orderings_Oord__class_Oless__eq( X,
% 0.94/1.54 c_Lattices_Osemilattice__sup__class_Osup( X, T, Z ), Y ),
% 0.94/1.54 c_Orderings_Oord__class_Oless__eq( X, T, Y ) }.
% 0.94/1.54 { ! class_Lattices_Osemilattice__sup( X ), !
% 0.94/1.54 c_Orderings_Oord__class_Oless__eq( X,
% 0.94/1.54 c_Lattices_Osemilattice__sup__class_Osup( X, T, Z ), Y ),
% 0.94/1.54 c_Orderings_Oord__class_Oless__eq( X, Z, Y ) }.
% 0.94/1.54 { ! class_Lattices_Osemilattice__sup( X ), !
% 0.94/1.54 c_Orderings_Oord__class_Oless__eq( X, T, Y ), !
% 0.94/1.54 c_Orderings_Oord__class_Oless__eq( X, Z, Y ),
% 0.94/1.54 c_Orderings_Oord__class_Oless__eq( X,
% 0.94/1.54 c_Lattices_Osemilattice__sup__class_Osup( X, T, Z ), Y ) }.
% 0.94/1.54 { ! class_Lattices_Osemilattice__sup( X ), !
% 0.94/1.54 c_Orderings_Oord__class_Oless__eq( X, Z, Y ),
% 0.94/1.54 c_Lattices_Osemilattice__sup__class_Osup( X, Z, Y ) = Y }.
% 0.94/1.54 { ! class_Lattices_Osemilattice__sup( X ), !
% 0.94/1.54 c_Lattices_Osemilattice__sup__class_Osup( X, Z, Y ) = Y,
% 0.94/1.54 c_Orderings_Oord__class_Oless__eq( X, Z, Y ) }.
% 0.94/1.54 { ! class_Lattices_Osemilattice__sup( X ),
% 0.94/1.54 c_Orderings_Oord__class_Oless__eq( X, Z,
% 0.94/1.54 c_Lattices_Osemilattice__sup__class_Osup( X, Y, Z ) ) }.
% 0.94/1.54 { ! class_Lattices_Olattice( X ), c_Orderings_Oord__class_Oless__eq( X, Z,
% 0.94/1.54 c_Lattices_Osemilattice__sup__class_Osup( X, Y, Z ) ) }.
% 0.94/1.54 { ! class_Lattices_Osemilattice__sup( X ),
% 0.94/1.54 c_Orderings_Oord__class_Oless__eq( X, Z,
% 0.94/1.54 c_Lattices_Osemilattice__sup__class_Osup( X, Z, Y ) ) }.
% 0.94/1.54 { ! class_Lattices_Olattice( X ), c_Orderings_Oord__class_Oless__eq( X, Z,
% 0.94/1.54 c_Lattices_Osemilattice__sup__class_Osup( X, Z, Y ) ) }.
% 0.94/1.54 { ! class_Orderings_Olinorder( X ), ! c_Orderings_Oord__class_Oless( X, Z,
% 0.94/1.54 Y ), c_Lattices_Osemilattice__sup__class_Osup( tc_fun( X, tc_HOL_Obool )
% 0.94/1.54 , c_SetInterval_Oord__class_OgreaterThanLessThan( X, Z, Y ),
% 0.94/1.54 c_SetInterval_Oord__class_OatLeast( X, Y ) ) =
% 0.94/1.54 c_SetInterval_Oord__class_OgreaterThan( X, Z ) }.
% 0.94/1.54 { ! class_Orderings_Olinorder( X ), ! c_Orderings_Oord__class_Oless( X, Z,
% 0.94/1.54 Y ), c_Lattices_Osemilattice__sup__class_Osup( tc_fun( X, tc_HOL_Obool )
% 0.94/1.54 , c_SetInterval_Oord__class_OatMost( X, Z ),
% 0.94/1.54 c_SetInterval_Oord__class_OgreaterThanLessThan( X, Z, Y ) ) =
% 0.94/1.54 c_SetInterval_Oord__class_OlessThan( X, Y ) }.
% 0.94/1.54 { ! c_Orderings_Oord__class_Oless__eq( tc_RealDef_Oreal,
% 0.94/1.54 c_Groups_Ozero__class_Ozero( tc_RealDef_Oreal ), X ), !
% 0.94/1.54 c_Orderings_Oord__class_Oless( tc_RealDef_Oreal, X, c_RealDef_Oreal(
% 0.94/1.54 tc_Nat_Onat, Y ) ), c_Orderings_Oord__class_Oless( tc_Nat_Onat,
% 0.94/1.54 c_RComplete_Onatfloor( X ), Y ) }.
% 0.94/1.54 { ! class_Orderings_Olinorder( X ),
% 0.94/1.54 c_Lattices_Osemilattice__sup__class_Osup( tc_fun( X, tc_HOL_Obool ),
% 0.94/1.54 c_Set_Oinsert( X, Y, c_Orderings_Obot__class_Obot( tc_fun( X,
% 0.94/1.54 tc_HOL_Obool ) ) ), c_SetInterval_Oord__class_OgreaterThan( X, Y ) ) =
% 0.94/1.54 c_SetInterval_Oord__class_OatLeast( X, Y ) }.
% 0.94/1.54 { ! c_Orderings_Oord__class_Oless__eq( tc_RealDef_Oreal,
% 0.94/1.54 c_Groups_Ozero__class_Ozero( tc_RealDef_Oreal ), X ), !
% 0.94/1.54 c_Orderings_Oord__class_Oless__eq( tc_Nat_Onat, c_RComplete_Onatceiling(
% 0.94/1.54 X ), Y ), c_Orderings_Oord__class_Oless__eq( tc_RealDef_Oreal, X,
% 0.94/1.54 c_RealDef_Oreal( tc_Nat_Onat, Y ) ) }.
% 0.94/1.54 { ! c_Orderings_Oord__class_Oless__eq( tc_RealDef_Oreal,
% 0.94/1.54 c_Groups_Ozero__class_Ozero( tc_RealDef_Oreal ), X ), !
% 0.94/1.54 c_Orderings_Oord__class_Oless__eq( tc_RealDef_Oreal, X, c_RealDef_Oreal(
% 0.94/1.54 tc_Nat_Onat, Y ) ), c_Orderings_Oord__class_Oless__eq( tc_Nat_Onat,
% 0.94/1.54 c_RComplete_Onatceiling( X ), Y ) }.
% 0.94/1.54 { ! c_Orderings_Oord__class_Oless__eq( tc_RealDef_Oreal,
% 0.94/1.54 c_Groups_Ozero__class_Ozero( tc_RealDef_Oreal ), X ), !
% 0.94/1.54 c_Orderings_Oord__class_Oless__eq( tc_Nat_Onat, Y, c_RComplete_Onatfloor
% 0.94/1.54 ( X ) ), c_Orderings_Oord__class_Oless__eq( tc_RealDef_Oreal,
% 0.94/1.54 c_RealDef_Oreal( tc_Nat_Onat, Y ), X ) }.
% 0.94/1.54 { ! c_Orderings_Oord__class_Oless__eq( tc_RealDef_Oreal,
% 0.94/1.54 c_Groups_Ozero__class_Ozero( tc_RealDef_Oreal ), X ), !
% 0.94/1.54 c_Orderings_Oord__class_Oless__eq( tc_RealDef_Oreal, c_RealDef_Oreal(
% 0.94/1.54 tc_Nat_Onat, Y ), X ), c_Orderings_Oord__class_Oless__eq( tc_Nat_Onat, Y
% 0.94/1.54 , c_RComplete_Onatfloor( X ) ) }.
% 0.94/1.54 { ! c_member( Y, X, c_Orderings_Obot__class_Obot( tc_fun( Y, tc_HOL_Obool )
% 0.94/1.54 ) ) }.
% 0.94/1.54 { c_Orderings_Oord__class_Oless__eq( tc_fun( Y, tc_HOL_Obool ),
% 0.94/1.54 c_Orderings_Obot__class_Obot( tc_fun( Y, tc_HOL_Obool ) ), X ) }.
% 0.94/1.54 { c_Orderings_Oord__class_Oless__eq( tc_RealDef_Oreal,
% 0.94/1.54 c_Groups_Ozero__class_Ozero( tc_RealDef_Oreal ), c_RealDef_Oreal(
% 0.94/1.54 tc_Nat_Onat, X ) ) }.
% 0.94/1.54 { ! class_Orderings_Oorder( X ), ! c_Orderings_Oord__class_Oless__eq( X, Z
% 0.94/1.54 , Y ), c_SetInterval_Oord__class_OgreaterThanLessThan( X, Y, Z ) =
% 0.94/1.54 c_Orderings_Obot__class_Obot( tc_fun( X, tc_HOL_Obool ) ) }.
% 0.94/1.54 { c_Set_OPow( X, c_Orderings_Obot__class_Obot( tc_fun( X, tc_HOL_Obool ) )
% 0.94/1.54 ) = c_Set_Oinsert( tc_fun( X, tc_HOL_Obool ),
% 0.94/1.54 c_Orderings_Obot__class_Obot( tc_fun( X, tc_HOL_Obool ) ),
% 0.94/1.54 c_Orderings_Obot__class_Obot( tc_fun( tc_fun( X, tc_HOL_Obool ),
% 0.94/1.54 tc_HOL_Obool ) ) ) }.
% 0.94/1.54 { ! class_Orderings_Obot( X ), hAPP( c_Orderings_Obot__class_Obot( tc_fun(
% 0.94/1.54 Z, X ) ), Y ) = c_Orderings_Obot__class_Obot( X ) }.
% 0.94/1.54 { ! Y = c_Orderings_Obot__class_Obot( tc_fun( X, tc_HOL_Obool ) ), !
% 0.94/1.54 c_member( X, Z, Y ) }.
% 0.94/1.54 { ! c_member( Y, X, c_Orderings_Obot__class_Obot( tc_fun( Y, tc_HOL_Obool )
% 0.94/1.54 ) ) }.
% 0.94/1.54 { ! c_member( Y, Z, X ), ! X = c_Orderings_Obot__class_Obot( tc_fun( Y,
% 0.94/1.54 tc_HOL_Obool ) ) }.
% 0.94/1.54 { X = c_Orderings_Obot__class_Obot( tc_fun( Y, tc_HOL_Obool ) ), c_member(
% 0.94/1.54 Y, skol53( X, Y ), X ) }.
% 0.94/1.54 { c_member( Y, skol54( X, Y ), X ), X = c_Orderings_Obot__class_Obot(
% 0.94/1.54 tc_fun( Y, tc_HOL_Obool ) ) }.
% 0.94/1.54 { ! X = c_Orderings_Obot__class_Obot( tc_fun( Y, tc_HOL_Obool ) ), !
% 0.94/1.54 c_member( Y, Z, X ) }.
% 0.94/1.54 { c_SetInterval_Oord__class_OlessThan( tc_Nat_Onat,
% 0.94/1.54 c_Groups_Ozero__class_Ozero( tc_Nat_Onat ) ) =
% 0.94/1.54 c_Orderings_Obot__class_Obot( tc_fun( tc_Nat_Onat, tc_HOL_Obool ) ) }.
% 0.94/1.54 { ! c_Orderings_Obot__class_Obot( tc_fun( Z, tc_HOL_Obool ) ) =
% 0.94/1.54 c_Set_Oinsert( Z, Y, X ) }.
% 0.94/1.54 { ! c_Set_Oinsert( Z, Y, X ) = c_Orderings_Obot__class_Obot( tc_fun( Z,
% 0.94/1.54 tc_HOL_Obool ) ) }.
% 0.94/1.54 { ! c_Set_Oinsert( U, T, c_Set_Oinsert( U, Z, c_Orderings_Obot__class_Obot
% 0.94/1.54 ( tc_fun( U, tc_HOL_Obool ) ) ) ) = c_Set_Oinsert( U, Y, c_Set_Oinsert( U
% 0.94/1.54 , X, c_Orderings_Obot__class_Obot( tc_fun( U, tc_HOL_Obool ) ) ) ),
% 0.94/1.54 alpha8( X, Y, Z, T ), alpha24( X, Y, Z, T ) }.
% 0.94/1.54 { ! alpha8( X, Y, Z, T ), c_Set_Oinsert( U, T, c_Set_Oinsert( U, Z,
% 0.94/1.54 c_Orderings_Obot__class_Obot( tc_fun( U, tc_HOL_Obool ) ) ) ) =
% 0.94/1.54 c_Set_Oinsert( U, Y, c_Set_Oinsert( U, X, c_Orderings_Obot__class_Obot(
% 0.94/1.54 tc_fun( U, tc_HOL_Obool ) ) ) ) }.
% 0.94/1.54 { ! alpha24( X, Y, Z, T ), c_Set_Oinsert( U, T, c_Set_Oinsert( U, Z,
% 0.94/1.54 c_Orderings_Obot__class_Obot( tc_fun( U, tc_HOL_Obool ) ) ) ) =
% 0.94/1.54 c_Set_Oinsert( U, Y, c_Set_Oinsert( U, X, c_Orderings_Obot__class_Obot(
% 0.94/1.54 tc_fun( U, tc_HOL_Obool ) ) ) ) }.
% 0.94/1.54 { ! alpha24( X, Y, Z, T ), T = X }.
% 0.94/1.54 { ! alpha24( X, Y, Z, T ), Z = Y }.
% 0.94/1.54 { ! T = X, ! Z = Y, alpha24( X, Y, Z, T ) }.
% 0.94/1.54 { ! alpha8( X, Y, Z, T ), T = Y }.
% 0.94/1.54 { ! alpha8( X, Y, Z, T ), Z = X }.
% 0.94/1.54 { ! T = Y, ! Z = X, alpha8( X, Y, Z, T ) }.
% 0.94/1.54 { ! c_Set_Oinsert( Z, Y, c_Orderings_Obot__class_Obot( tc_fun( Z,
% 0.94/1.54 tc_HOL_Obool ) ) ) = c_Set_Oinsert( Z, X, c_Orderings_Obot__class_Obot(
% 0.94/1.54 tc_fun( Z, tc_HOL_Obool ) ) ), Y = X }.
% 0.94/1.54 { ! c_Set_OCollect( Y, X ) = c_Orderings_Obot__class_Obot( tc_fun( Y,
% 0.94/1.54 tc_HOL_Obool ) ), ! hBOOL( hAPP( X, Z ) ) }.
% 0.94/1.54 { hBOOL( hAPP( X, skol55( X ) ) ), c_Set_OCollect( Y, X ) =
% 0.94/1.54 c_Orderings_Obot__class_Obot( tc_fun( Y, tc_HOL_Obool ) ) }.
% 0.94/1.54 { ! c_Orderings_Obot__class_Obot( tc_fun( Y, tc_HOL_Obool ) ) =
% 0.94/1.54 c_Set_OCollect( Y, X ), ! hBOOL( hAPP( X, Z ) ) }.
% 0.94/1.54 { hBOOL( hAPP( X, skol56( X ) ) ), c_Orderings_Obot__class_Obot( tc_fun( Y
% 0.94/1.54 , tc_HOL_Obool ) ) = c_Set_OCollect( Y, X ) }.
% 0.94/1.54 { ! c_Orderings_Otop__class_Otop( tc_fun( X, tc_HOL_Obool ) ) =
% 0.94/1.54 c_Orderings_Obot__class_Obot( tc_fun( X, tc_HOL_Obool ) ) }.
% 0.94/1.54 { ! c_Orderings_Oord__class_Oless__eq( tc_fun( Y, tc_HOL_Obool ), X,
% 0.94/1.54 c_Orderings_Obot__class_Obot( tc_fun( Y, tc_HOL_Obool ) ) ), X =
% 0.94/1.54 c_Orderings_Obot__class_Obot( tc_fun( Y, tc_HOL_Obool ) ) }.
% 0.94/1.54 { ! X = c_Orderings_Obot__class_Obot( tc_fun( Y, tc_HOL_Obool ) ),
% 0.94/1.54 c_Orderings_Oord__class_Oless__eq( tc_fun( Y, tc_HOL_Obool ), X,
% 0.94/1.54 c_Orderings_Obot__class_Obot( tc_fun( Y, tc_HOL_Obool ) ) ) }.
% 0.94/1.54 { c_Lattices_Osemilattice__sup__class_Osup( tc_fun( Y, tc_HOL_Obool ),
% 0.94/1.54 c_Orderings_Obot__class_Obot( tc_fun( Y, tc_HOL_Obool ) ), X ) = X }.
% 0.94/1.54 { c_Lattices_Osemilattice__sup__class_Osup( tc_fun( Y, tc_HOL_Obool ), X,
% 0.94/1.54 c_Orderings_Obot__class_Obot( tc_fun( Y, tc_HOL_Obool ) ) ) = X }.
% 0.94/1.54 { ! c_Lattices_Osemilattice__sup__class_Osup( tc_fun( Z, tc_HOL_Obool ), Y
% 0.94/1.54 , X ) = c_Orderings_Obot__class_Obot( tc_fun( Z, tc_HOL_Obool ) ), Y =
% 0.94/1.54 c_Orderings_Obot__class_Obot( tc_fun( Z, tc_HOL_Obool ) ) }.
% 0.94/1.54 { ! c_Lattices_Osemilattice__sup__class_Osup( tc_fun( Z, tc_HOL_Obool ), Y
% 0.94/1.54 , X ) = c_Orderings_Obot__class_Obot( tc_fun( Z, tc_HOL_Obool ) ), X =
% 0.94/1.54 c_Orderings_Obot__class_Obot( tc_fun( Z, tc_HOL_Obool ) ) }.
% 0.94/1.54 { ! Y = c_Orderings_Obot__class_Obot( tc_fun( Z, tc_HOL_Obool ) ), ! X =
% 0.94/1.54 c_Orderings_Obot__class_Obot( tc_fun( Z, tc_HOL_Obool ) ),
% 0.94/1.54 c_Lattices_Osemilattice__sup__class_Osup( tc_fun( Z, tc_HOL_Obool ), Y, X
% 0.94/1.54 ) = c_Orderings_Obot__class_Obot( tc_fun( Z, tc_HOL_Obool ) ) }.
% 0.94/1.54 { ! c_Set_OPow( Y, X ) = c_Orderings_Obot__class_Obot( tc_fun( tc_fun( Y,
% 0.94/1.54 tc_HOL_Obool ), tc_HOL_Obool ) ) }.
% 0.94/1.54 { ! c_Orderings_Oord__class_Oless( tc_fun( Y, tc_HOL_Obool ), X,
% 0.94/1.54 c_Orderings_Obot__class_Obot( tc_fun( Y, tc_HOL_Obool ) ) ) }.
% 0.94/1.54 { ! class_Orderings_Obot( X ), c_Orderings_Oord__class_Oless__eq( X,
% 0.94/1.54 c_Orderings_Obot__class_Obot( X ), Y ) }.
% 0.94/1.54 { ! class_Lattices_Obounded__lattice__bot( X ),
% 0.94/1.54 c_Lattices_Osemilattice__sup__class_Osup( X, c_Orderings_Obot__class_Obot
% 0.94/1.54 ( X ), Y ) = Y }.
% 0.94/1.54 { ! class_Lattices_Obounded__lattice__bot( X ),
% 0.94/1.54 c_Lattices_Osemilattice__sup__class_Osup( X, Y,
% 0.94/1.54 c_Orderings_Obot__class_Obot( X ) ) = Y }.
% 0.94/1.54 { ! class_Lattices_Obounded__lattice__bot( X ), !
% 0.94/1.54 c_Lattices_Osemilattice__sup__class_Osup( X, Z, Y ) =
% 0.94/1.54 c_Orderings_Obot__class_Obot( X ), Z = c_Orderings_Obot__class_Obot( X )
% 0.94/1.54 }.
% 0.94/1.54 { ! class_Lattices_Obounded__lattice__bot( X ), !
% 0.94/1.54 c_Lattices_Osemilattice__sup__class_Osup( X, Z, Y ) =
% 0.94/1.54 c_Orderings_Obot__class_Obot( X ), Y = c_Orderings_Obot__class_Obot( X )
% 0.94/1.54 }.
% 0.94/1.54 { ! class_Lattices_Obounded__lattice__bot( X ), ! Z =
% 0.94/1.54 c_Orderings_Obot__class_Obot( X ), ! Y = c_Orderings_Obot__class_Obot( X
% 0.94/1.54 ), c_Lattices_Osemilattice__sup__class_Osup( X, Z, Y ) =
% 0.94/1.54 c_Orderings_Obot__class_Obot( X ) }.
% 0.94/1.54 { ! c_member( Z, Y, c_Set_Oinsert( Z, X, c_Orderings_Obot__class_Obot(
% 0.94/1.54 tc_fun( Z, tc_HOL_Obool ) ) ) ), Y = X }.
% 0.94/1.54 { ! c_member( Z, Y, c_Set_Oinsert( Z, X, c_Orderings_Obot__class_Obot(
% 0.94/1.54 tc_fun( Z, tc_HOL_Obool ) ) ) ), Y = X }.
% 0.94/1.54 { ! Y = X, c_member( Z, Y, c_Set_Oinsert( Z, X,
% 0.94/1.54 c_Orderings_Obot__class_Obot( tc_fun( Z, tc_HOL_Obool ) ) ) ) }.
% 0.94/1.54 { ! c_Orderings_Oord__class_Oless__eq( tc_fun( Z, tc_HOL_Obool ), Y,
% 0.94/1.54 c_Set_Oinsert( Z, X, c_Orderings_Obot__class_Obot( tc_fun( Z,
% 0.94/1.54 tc_HOL_Obool ) ) ) ), Y = c_Orderings_Obot__class_Obot( tc_fun( Z,
% 0.94/1.54 tc_HOL_Obool ) ), Y = c_Set_Oinsert( Z, X, c_Orderings_Obot__class_Obot(
% 0.94/1.54 tc_fun( Z, tc_HOL_Obool ) ) ) }.
% 0.94/1.54 { ! class_Orderings_Oorder( X ), ! c_Orderings_Obot__class_Obot( tc_fun( X
% 0.94/1.54 , tc_HOL_Obool ) ) = c_SetInterval_Oord__class_OatLeastAtMost( X, Z, Y )
% 0.94/1.54 , ! c_Orderings_Oord__class_Oless__eq( X, Z, Y ) }.
% 0.94/1.54 { ! class_Orderings_Oorder( X ), c_Orderings_Oord__class_Oless__eq( X, Z, Y
% 0.94/1.54 ), c_Orderings_Obot__class_Obot( tc_fun( X, tc_HOL_Obool ) ) =
% 0.94/1.54 c_SetInterval_Oord__class_OatLeastAtMost( X, Z, Y ) }.
% 0.94/1.54 { ! class_Orderings_Oorder( X ), ! c_SetInterval_Oord__class_OatLeastAtMost
% 0.94/1.54 ( X, Z, Y ) = c_Orderings_Obot__class_Obot( tc_fun( X, tc_HOL_Obool ) ),
% 0.94/1.54 ! c_Orderings_Oord__class_Oless__eq( X, Z, Y ) }.
% 0.94/1.54 { ! class_Orderings_Oorder( X ), c_Orderings_Oord__class_Oless__eq( X, Z, Y
% 0.94/1.54 ), c_SetInterval_Oord__class_OatLeastAtMost( X, Z, Y ) =
% 0.94/1.54 c_Orderings_Obot__class_Obot( tc_fun( X, tc_HOL_Obool ) ) }.
% 0.94/1.54 { ! class_Orderings_Oorder( X ), ! c_Orderings_Oord__class_Oless( X, Z, Y )
% 0.94/1.54 , c_SetInterval_Oord__class_OatLeastAtMost( X, Y, Z ) =
% 0.94/1.54 c_Orderings_Obot__class_Obot( tc_fun( X, tc_HOL_Obool ) ) }.
% 0.94/1.54 { c_Set_Oinsert( Z, Y, X ) = c_Lattices_Osemilattice__sup__class_Osup(
% 0.94/1.54 tc_fun( Z, tc_HOL_Obool ), c_Set_Oinsert( Z, Y,
% 0.94/1.54 c_Orderings_Obot__class_Obot( tc_fun( Z, tc_HOL_Obool ) ) ), X ) }.
% 0.94/1.54 { ! class_Orderings_Oorder( X ), ! Z = Y,
% 0.94/1.54 c_SetInterval_Oord__class_OatLeastAtMost( X, Z, Y ) = c_Set_Oinsert( X, Z
% 0.94/1.54 , c_Orderings_Obot__class_Obot( tc_fun( X, tc_HOL_Obool ) ) ) }.
% 0.94/1.54 { ! class_Orderings_Oorder( X ), ! c_SetInterval_Oord__class_OatLeastAtMost
% 0.94/1.54 ( X, T, Z ) = c_Set_Oinsert( X, Y, c_Orderings_Obot__class_Obot( tc_fun(
% 0.94/1.54 X, tc_HOL_Obool ) ) ), T = Z }.
% 0.94/1.54 { ! class_Orderings_Oorder( X ), ! c_SetInterval_Oord__class_OatLeastAtMost
% 0.94/1.54 ( X, T, Z ) = c_Set_Oinsert( X, Y, c_Orderings_Obot__class_Obot( tc_fun(
% 0.94/1.54 X, tc_HOL_Obool ) ) ), Z = Y }.
% 0.94/1.54 { ! class_Orderings_Oorder( X ), ! T = Z, ! Z = Y,
% 0.94/1.54 c_SetInterval_Oord__class_OatLeastAtMost( X, T, Z ) = c_Set_Oinsert( X, Y
% 0.94/1.54 , c_Orderings_Obot__class_Obot( tc_fun( X, tc_HOL_Obool ) ) ) }.
% 0.94/1.54 { ! class_Orderings_Oorder( X ), c_SetInterval_Oord__class_OatLeastAtMost(
% 0.94/1.54 X, Y, Y ) = c_Set_Oinsert( X, Y, c_Orderings_Obot__class_Obot( tc_fun( X
% 0.94/1.54 , tc_HOL_Obool ) ) ) }.
% 0.94/1.54 { c_RealDef_Oreal( tc_Nat_Onat, c_Groups_Ozero__class_Ozero( tc_Nat_Onat )
% 0.94/1.54 ) = c_Groups_Ozero__class_Ozero( tc_RealDef_Oreal ) }.
% 0.94/1.54 { ! c_RealDef_Oreal( tc_Nat_Onat, X ) = c_Groups_Ozero__class_Ozero(
% 0.94/1.54 tc_RealDef_Oreal ), X = c_Groups_Ozero__class_Ozero( tc_Nat_Onat ) }.
% 0.94/1.54 { ! X = c_Groups_Ozero__class_Ozero( tc_Nat_Onat ), c_RealDef_Oreal(
% 0.94/1.54 tc_Nat_Onat, X ) = c_Groups_Ozero__class_Ozero( tc_RealDef_Oreal ) }.
% 0.94/1.54 { ! c_Orderings_Oord__class_Oless( tc_RealDef_Oreal, c_RealDef_Oreal(
% 0.94/1.54 tc_Nat_Onat, X ), c_Groups_Ozero__class_Ozero( tc_RealDef_Oreal ) ) }.
% 0.94/1.54 { c_member( tc_fun( Y, tc_HOL_Obool ), c_Orderings_Obot__class_Obot( tc_fun
% 0.94/1.54 ( Y, tc_HOL_Obool ) ), c_Set_OPow( Y, X ) ) }.
% 0.94/1.54 { c_RComplete_Onatfloor( c_Groups_Ozero__class_Ozero( tc_RealDef_Oreal ) )
% 0.94/1.54 = c_Groups_Ozero__class_Ozero( tc_Nat_Onat ) }.
% 0.94/1.54 { c_SetInterval_Oord__class_OatMost( tc_Nat_Onat,
% 0.94/1.54 c_Groups_Ozero__class_Ozero( tc_Nat_Onat ) ) = c_Set_Oinsert( tc_Nat_Onat
% 0.94/1.54 , c_Groups_Ozero__class_Ozero( tc_Nat_Onat ),
% 0.94/1.54 c_Orderings_Obot__class_Obot( tc_fun( tc_Nat_Onat, tc_HOL_Obool ) ) ) }.
% 0.94/1.54 { c_RComplete_Onatceiling( c_Groups_Ozero__class_Ozero( tc_RealDef_Oreal )
% 0.94/1.54 ) = c_Groups_Ozero__class_Ozero( tc_Nat_Onat ) }.
% 0.94/1.54 { ! c_Orderings_Oord__class_Oless__eq( tc_RealDef_Oreal, c_RealDef_Oreal(
% 0.94/1.54 tc_Nat_Onat, X ), c_Groups_Ozero__class_Ozero( tc_RealDef_Oreal ) ), X =
% 0.94/1.54 c_Groups_Ozero__class_Ozero( tc_Nat_Onat ) }.
% 0.94/1.54 { ! X = c_Groups_Ozero__class_Ozero( tc_Nat_Onat ),
% 0.94/1.54 c_Orderings_Oord__class_Oless__eq( tc_RealDef_Oreal, c_RealDef_Oreal(
% 0.94/1.54 tc_Nat_Onat, X ), c_Groups_Ozero__class_Ozero( tc_RealDef_Oreal ) ) }.
% 0.94/1.54 { ! c_Orderings_Oord__class_Oless__eq( tc_RealDef_Oreal, X,
% 0.94/1.54 c_Groups_Ozero__class_Ozero( tc_RealDef_Oreal ) ), c_RComplete_Onatfloor
% 0.94/1.54 ( X ) = c_Groups_Ozero__class_Ozero( tc_Nat_Onat ) }.
% 0.94/1.54 { ! c_Orderings_Oord__class_Oless__eq( tc_RealDef_Oreal, X,
% 0.94/1.54 c_Groups_Ozero__class_Ozero( tc_RealDef_Oreal ) ),
% 0.94/1.54 c_RComplete_Onatceiling( X ) = c_Groups_Ozero__class_Ozero( tc_Nat_Onat )
% 0.94/1.54 }.
% 0.94/1.54 { ! c_Orderings_Oord__class_Oless__eq( tc_RealDef_Oreal,
% 0.94/1.54 c_Groups_Ozero__class_Ozero( tc_RealDef_Oreal ), X ),
% 0.94/1.54 c_Orderings_Oord__class_Oless__eq( tc_RealDef_Oreal, c_RealDef_Oreal(
% 0.94/1.54 tc_Nat_Onat, c_RComplete_Onatfloor( X ) ), X ) }.
% 0.94/1.54 { ! c_Orderings_Oord__class_Oless( tc_RealDef_Oreal,
% 0.94/1.54 c_Groups_Ozero__class_Ozero( tc_RealDef_Oreal ), c_RealDef_Oreal(
% 0.94/1.54 tc_Nat_Onat, X ) ), c_Orderings_Oord__class_Oless( tc_Nat_Onat,
% 0.94/1.54 c_Groups_Ozero__class_Ozero( tc_Nat_Onat ), X ) }.
% 0.94/1.54 { ! c_Orderings_Oord__class_Oless( tc_Nat_Onat, c_Groups_Ozero__class_Ozero
% 0.94/1.54 ( tc_Nat_Onat ), X ), c_Orderings_Oord__class_Oless( tc_RealDef_Oreal,
% 0.94/1.54 c_Groups_Ozero__class_Ozero( tc_RealDef_Oreal ), c_RealDef_Oreal(
% 0.94/1.54 tc_Nat_Onat, X ) ) }.
% 0.94/1.54 { ! class_Orderings_Olinorder( X ),
% 0.94/1.54 c_Lattices_Osemilattice__sup__class_Osup( tc_fun( X, tc_HOL_Obool ),
% 0.94/1.54 c_SetInterval_Oord__class_OlessThan( X, Y ), c_Set_Oinsert( X, Y,
% 0.94/1.54 c_Orderings_Obot__class_Obot( tc_fun( X, tc_HOL_Obool ) ) ) ) =
% 0.94/1.54 c_SetInterval_Oord__class_OatMost( X, Y ) }.
% 0.94/1.54 { c_Set_Othe__elem( Y, c_Set_Oinsert( Y, X, c_Orderings_Obot__class_Obot(
% 0.94/1.54 tc_fun( Y, tc_HOL_Obool ) ) ) ) = X }.
% 0.94/1.54 { ! class_Orderings_Olinorder( X ), ! c_Orderings_Oord__class_Oless( X, Z,
% 0.94/1.54 Y ), ! c_Orderings_Oord__class_Oless__eq( X, Y, T ),
% 0.94/1.54 c_Lattices_Osemilattice__sup__class_Osup( tc_fun( X, tc_HOL_Obool ),
% 0.94/1.54 c_SetInterval_Oord__class_OgreaterThanLessThan( X, Z, Y ),
% 0.94/1.54 c_SetInterval_Oord__class_OatLeastAtMost( X, Y, T ) ) =
% 0.94/1.54 c_SetInterval_Oord__class_OgreaterThanAtMost( X, Z, T ) }.
% 0.94/1.54 { ! class_Orderings_Olinorder( X ), ! c_Orderings_Oord__class_Oless( X, Z,
% 0.94/1.54 Y ), c_Lattices_Osemilattice__sup__class_Osup( tc_fun( X, tc_HOL_Obool )
% 0.94/1.54 , c_SetInterval_Oord__class_OgreaterThanLessThan( X, Z, Y ),
% 0.94/1.54 c_Set_Oinsert( X, Y, c_Orderings_Obot__class_Obot( tc_fun( X,
% 0.94/1.54 tc_HOL_Obool ) ) ) ) = c_SetInterval_Oord__class_OgreaterThanAtMost( X, Z
% 0.94/1.54 , Y ) }.
% 0.94/1.54 { ! class_Orderings_Olinorder( X ), ! c_Orderings_Oord__class_Oless__eq( X
% 0.94/1.54 , Z, Y ), c_Lattices_Osemilattice__sup__class_Osup( tc_fun( X,
% 0.94/1.54 tc_HOL_Obool ), c_Set_Oinsert( X, Z, c_Orderings_Obot__class_Obot( tc_fun
% 0.94/1.54 ( X, tc_HOL_Obool ) ) ), c_SetInterval_Oord__class_OgreaterThanAtMost( X
% 0.94/1.54 , Z, Y ) ) = c_SetInterval_Oord__class_OatLeastAtMost( X, Z, Y ) }.
% 0.94/1.54 { ! class_Orderings_Olinorder( X ), ! c_Orderings_Oord__class_Oless__eq( X
% 0.94/1.54 , Z, Y ), ! c_Orderings_Oord__class_Oless( X, Y, T ),
% 0.94/1.54 c_Lattices_Osemilattice__sup__class_Osup( tc_fun( X, tc_HOL_Obool ),
% 0.94/1.54 c_SetInterval_Oord__class_OatLeastAtMost( X, Z, Y ),
% 0.94/1.54 c_SetInterval_Oord__class_OgreaterThanLessThan( X, Y, T ) ) =
% 0.94/1.54 c_SetInterval_Oord__class_OatLeastLessThan( X, Z, T ) }.
% 0.94/1.54 { c_SetInterval_Oord__class_OatLeastLessThan( tc_Nat_Onat,
% 0.94/1.54 c_Groups_Ozero__class_Ozero( tc_Nat_Onat ), X ) =
% 0.94/1.54 c_SetInterval_Oord__class_OlessThan( tc_Nat_Onat, X ) }.
% 0.94/1.54 { c_SetInterval_Oord__class_OatLeastLessThan( tc_Nat_Onat, X,
% 0.94/1.54 c_Groups_Ozero__class_Ozero( tc_Nat_Onat ) ) =
% 0.94/1.54 c_Orderings_Obot__class_Obot( tc_fun( tc_Nat_Onat, tc_HOL_Obool ) ) }.
% 0.94/1.54 { ! class_Orderings_Olinorder( X ), !
% 0.94/1.54 c_SetInterval_Oord__class_OatLeastLessThan( X, U, T ) =
% 0.94/1.54 c_SetInterval_Oord__class_OatLeastLessThan( X, Z, Y ), !
% 0.94/1.54 c_Orderings_Oord__class_Oless( X, U, T ), ! c_Orderings_Oord__class_Oless
% 0.94/1.54 ( X, Z, Y ), T = Y }.
% 0.94/1.54 { ! class_Orderings_Olinorder( X ), !
% 0.94/1.54 c_SetInterval_Oord__class_OatLeastLessThan( X, U, T ) =
% 0.94/1.54 c_SetInterval_Oord__class_OatLeastLessThan( X, Z, Y ), !
% 0.94/1.54 c_Orderings_Oord__class_Oless( X, U, T ), ! c_Orderings_Oord__class_Oless
% 0.94/1.54 ( X, Z, Y ), U = Z }.
% 0.94/1.54 { ! class_Orderings_Olinorder( X ), ! c_Orderings_Oord__class_Oless( X, Z,
% 0.94/1.54 Y ), ! c_Orderings_Oord__class_Oless( X, U, T ), !
% 0.94/1.54 c_SetInterval_Oord__class_OatLeastLessThan( X, Z, Y ) =
% 0.94/1.54 c_SetInterval_Oord__class_OatLeastLessThan( X, U, T ), Z = U }.
% 0.94/1.54 { ! class_Orderings_Olinorder( X ), ! c_Orderings_Oord__class_Oless( X, Z,
% 0.94/1.54 Y ), ! c_Orderings_Oord__class_Oless( X, U, T ), !
% 0.94/1.54 c_SetInterval_Oord__class_OatLeastLessThan( X, Z, Y ) =
% 0.94/1.54 c_SetInterval_Oord__class_OatLeastLessThan( X, U, T ), Y = T }.
% 0.94/1.54 { ! class_Orderings_Olinorder( X ), ! c_Orderings_Oord__class_Oless( X, Z,
% 0.94/1.54 Y ), ! c_Orderings_Oord__class_Oless( X, U, T ), ! Z = U, ! Y = T,
% 0.94/1.54 c_SetInterval_Oord__class_OatLeastLessThan( X, Z, Y ) =
% 0.94/1.54 c_SetInterval_Oord__class_OatLeastLessThan( X, U, T ) }.
% 0.94/1.54 { c_Orderings_Obot__class_Obot( tc_Nat_Onat ) = c_Groups_Ozero__class_Ozero
% 0.94/1.54 ( tc_Nat_Onat ) }.
% 0.94/1.54 { ! alpha9( X, Y ), ! c_member( tc_Nat_Onat, Z,
% 0.94/1.54 c_SetInterval_Oord__class_OatLeastLessThan( tc_Nat_Onat,
% 0.94/1.54 c_Groups_Ozero__class_Ozero( tc_Nat_Onat ), Y ) ), hBOOL( hAPP( X, Z ) )
% 0.94/1.54 }.
% 0.94/1.54 { c_member( tc_Nat_Onat, skol57( Z, Y ),
% 0.94/1.54 c_SetInterval_Oord__class_OatLeastLessThan( tc_Nat_Onat,
% 0.94/1.54 c_Groups_Ozero__class_Ozero( tc_Nat_Onat ), Y ) ), alpha9( X, Y ) }.
% 0.94/1.54 { ! hBOOL( hAPP( X, skol57( X, Y ) ) ), alpha9( X, Y ) }.
% 0.94/1.54 { ! alpha9( X, Y ), ! c_Orderings_Oord__class_Oless( tc_Nat_Onat, Z, Y ),
% 0.94/1.54 hBOOL( hAPP( X, Z ) ) }.
% 0.94/1.54 { c_Orderings_Oord__class_Oless( tc_Nat_Onat, skol58( Z, Y ), Y ), alpha9(
% 0.94/1.54 X, Y ) }.
% 0.94/1.54 { ! hBOOL( hAPP( X, skol58( X, Y ) ) ), alpha9( X, Y ) }.
% 0.94/1.54 { ! alpha10( X, Y ), c_member( tc_Nat_Onat, skol59( Z, Y ),
% 0.94/1.54 c_SetInterval_Oord__class_OatLeastLessThan( tc_Nat_Onat,
% 0.94/1.54 c_Groups_Ozero__class_Ozero( tc_Nat_Onat ), Y ) ) }.
% 0.94/1.54 { ! alpha10( X, Y ), hBOOL( hAPP( X, skol59( X, Y ) ) ) }.
% 0.94/1.54 { ! c_member( tc_Nat_Onat, Z, c_SetInterval_Oord__class_OatLeastLessThan(
% 0.94/1.54 tc_Nat_Onat, c_Groups_Ozero__class_Ozero( tc_Nat_Onat ), Y ) ), ! hBOOL(
% 0.94/1.54 hAPP( X, Z ) ), alpha10( X, Y ) }.
% 0.94/1.54 { ! alpha10( X, Y ), c_Orderings_Oord__class_Oless( tc_Nat_Onat, skol60( Z
% 0.94/1.54 , Y ), Y ) }.
% 0.94/1.54 { ! alpha10( X, Y ), hBOOL( hAPP( X, skol60( X, Y ) ) ) }.
% 0.94/1.54 { ! c_Orderings_Oord__class_Oless( tc_Nat_Onat, Z, Y ), ! hBOOL( hAPP( X, Z
% 0.94/1.54 ) ), alpha10( X, Y ) }.
% 0.94/1.54 { ! class_Orderings_Oorder( X ), ! c_Orderings_Oord__class_Oless__eq( X, Z
% 0.94/1.54 , Y ), c_SetInterval_Oord__class_OatLeastLessThan( X, Y, Z ) =
% 0.94/1.54 c_Orderings_Obot__class_Obot( tc_fun( X, tc_HOL_Obool ) ) }.
% 0.94/1.54 { ! class_Orderings_Oorder( X ), ! c_Orderings_Obot__class_Obot( tc_fun( X
% 0.94/1.54 , tc_HOL_Obool ) ) = c_SetInterval_Oord__class_OatLeastLessThan( X, Z, Y
% 0.94/1.54 ), ! c_Orderings_Oord__class_Oless( X, Z, Y ) }.
% 0.94/1.54 { ! class_Orderings_Oorder( X ), c_Orderings_Oord__class_Oless( X, Z, Y ),
% 0.94/1.54 c_Orderings_Obot__class_Obot( tc_fun( X, tc_HOL_Obool ) ) =
% 0.94/1.54 c_SetInterval_Oord__class_OatLeastLessThan( X, Z, Y ) }.
% 0.94/1.54 { ! class_Orderings_Oorder( X ), !
% 0.94/1.54 c_SetInterval_Oord__class_OatLeastLessThan( X, Z, Y ) =
% 0.94/1.54 c_Orderings_Obot__class_Obot( tc_fun( X, tc_HOL_Obool ) ), !
% 0.94/1.54 c_Orderings_Oord__class_Oless( X, Z, Y ) }.
% 0.94/1.54 { ! class_Orderings_Oorder( X ), c_Orderings_Oord__class_Oless( X, Z, Y ),
% 0.94/1.54 c_SetInterval_Oord__class_OatLeastLessThan( X, Z, Y ) =
% 0.94/1.54 c_Orderings_Obot__class_Obot( tc_fun( X, tc_HOL_Obool ) ) }.
% 0.94/1.54 { ! class_Orderings_Olinorder( X ), ! c_Orderings_Oord__class_Oless__eq(
% 0.94/1.54 tc_fun( X, tc_HOL_Obool ), c_SetInterval_Oord__class_OatLeastLessThan( X
% 0.94/1.54 , U, T ), c_SetInterval_Oord__class_OatLeastLessThan( X, Z, Y ) ),
% 0.94/1.54 c_Orderings_Oord__class_Oless__eq( X, T, U ),
% 0.94/1.54 c_Orderings_Oord__class_Oless__eq( X, Z, U ) }.
% 0.94/1.54 { ! class_Orderings_Olinorder( X ), ! c_Orderings_Oord__class_Oless__eq(
% 0.94/1.54 tc_fun( X, tc_HOL_Obool ), c_SetInterval_Oord__class_OatLeastLessThan( X
% 0.94/1.54 , U, T ), c_SetInterval_Oord__class_OatLeastLessThan( X, Z, Y ) ),
% 0.94/1.54 c_Orderings_Oord__class_Oless__eq( X, T, U ),
% 0.94/1.54 c_Orderings_Oord__class_Oless__eq( X, T, Y ) }.
% 0.94/1.54 { ! class_Orderings_Olinorder( X ), ! c_Orderings_Oord__class_Oless__eq( X
% 0.94/1.54 , Z, Y ), ! c_Orderings_Oord__class_Oless__eq( X, Y, T ),
% 0.94/1.54 c_Lattices_Osemilattice__sup__class_Osup( tc_fun( X, tc_HOL_Obool ),
% 0.94/1.54 c_SetInterval_Oord__class_OatLeastLessThan( X, Z, Y ),
% 0.94/1.54 c_SetInterval_Oord__class_OatLeastLessThan( X, Y, T ) ) =
% 0.94/1.54 c_SetInterval_Oord__class_OatLeastLessThan( X, Z, T ) }.
% 0.94/1.54 { ! class_Orderings_Oorder( X ), ! c_Orderings_Oord__class_Oless__eq( X, Z
% 0.94/1.54 , Y ), c_SetInterval_Oord__class_OgreaterThanAtMost( X, Y, Z ) =
% 0.94/1.54 c_Orderings_Obot__class_Obot( tc_fun( X, tc_HOL_Obool ) ) }.
% 0.94/1.54 { ! class_Orderings_Oorder( X ), ! c_Orderings_Obot__class_Obot( tc_fun( X
% 0.94/1.54 , tc_HOL_Obool ) ) = c_SetInterval_Oord__class_OgreaterThanAtMost( X, Z,
% 0.94/1.54 Y ), ! c_Orderings_Oord__class_Oless( X, Z, Y ) }.
% 0.94/1.54 { ! class_Orderings_Oorder( X ), c_Orderings_Oord__class_Oless( X, Z, Y ),
% 0.94/1.54 c_Orderings_Obot__class_Obot( tc_fun( X, tc_HOL_Obool ) ) =
% 0.94/1.54 c_SetInterval_Oord__class_OgreaterThanAtMost( X, Z, Y ) }.
% 0.94/1.54 { ! class_Orderings_Oorder( X ), !
% 0.94/1.54 c_SetInterval_Oord__class_OgreaterThanAtMost( X, Z, Y ) =
% 0.94/1.54 c_Orderings_Obot__class_Obot( tc_fun( X, tc_HOL_Obool ) ), !
% 0.94/1.54 c_Orderings_Oord__class_Oless( X, Z, Y ) }.
% 0.94/1.54 { ! class_Orderings_Oorder( X ), c_Orderings_Oord__class_Oless( X, Z, Y ),
% 0.94/1.54 c_SetInterval_Oord__class_OgreaterThanAtMost( X, Z, Y ) =
% 0.94/1.54 c_Orderings_Obot__class_Obot( tc_fun( X, tc_HOL_Obool ) ) }.
% 0.94/1.54 { ! class_Orderings_Olinorder( X ), ! c_Orderings_Oord__class_Oless__eq( X
% 0.94/1.54 , Z, Y ), ! c_Orderings_Oord__class_Oless__eq( X, Y, T ),
% 0.94/1.54 c_Lattices_Osemilattice__sup__class_Osup( tc_fun( X, tc_HOL_Obool ),
% 0.94/1.54 c_SetInterval_Oord__class_OgreaterThanAtMost( X, Z, Y ),
% 0.94/1.54 c_SetInterval_Oord__class_OgreaterThanAtMost( X, Y, T ) ) =
% 0.94/1.54 c_SetInterval_Oord__class_OgreaterThanAtMost( X, Z, T ) }.
% 0.94/1.54 { ! class_Orderings_Olinorder( X ), ! c_Orderings_Oord__class_Oless__eq( X
% 0.94/1.54 , Z, Y ), ! c_Orderings_Oord__class_Oless__eq( X, Y, T ),
% 0.94/1.54 c_Lattices_Osemilattice__sup__class_Osup( tc_fun( X, tc_HOL_Obool ),
% 0.94/1.54 c_SetInterval_Oord__class_OatLeastLessThan( X, Z, Y ),
% 0.94/1.54 c_SetInterval_Oord__class_OatLeastAtMost( X, Y, T ) ) =
% 0.94/1.54 c_SetInterval_Oord__class_OatLeastAtMost( X, Z, T ) }.
% 0.94/1.54 { ! class_Orderings_Olinorder( X ), ! c_Orderings_Oord__class_Oless__eq( X
% 0.94/1.54 , Z, Y ), c_Lattices_Osemilattice__sup__class_Osup( tc_fun( X,
% 0.94/1.54 tc_HOL_Obool ), c_SetInterval_Oord__class_OlessThan( X, Z ),
% 0.94/1.54 c_SetInterval_Oord__class_OatLeastLessThan( X, Z, Y ) ) =
% 0.94/1.54 c_SetInterval_Oord__class_OlessThan( X, Y ) }.
% 0.94/1.54 { ! class_Orderings_Olinorder( X ), ! c_Orderings_Oord__class_Oless__eq( X
% 0.94/1.54 , Z, Y ), c_Lattices_Osemilattice__sup__class_Osup( tc_fun( X,
% 0.94/1.54 tc_HOL_Obool ), c_SetInterval_Oord__class_OatLeastLessThan( X, Z, Y ),
% 0.94/1.54 c_SetInterval_Oord__class_OatLeast( X, Y ) ) =
% 0.94/1.54 c_SetInterval_Oord__class_OatLeast( X, Z ) }.
% 0.94/1.54 { ! class_Orderings_Olinorder( X ), ! c_Orderings_Oord__class_Oless__eq( X
% 0.94/1.54 , Z, Y ), ! c_Orderings_Oord__class_Oless__eq( X, Y, T ),
% 0.94/1.54 c_Lattices_Osemilattice__sup__class_Osup( tc_fun( X, tc_HOL_Obool ),
% 0.94/1.54 c_SetInterval_Oord__class_OatLeastAtMost( X, Z, Y ),
% 0.94/1.54 c_SetInterval_Oord__class_OgreaterThanAtMost( X, Y, T ) ) =
% 0.94/1.54 c_SetInterval_Oord__class_OatLeastAtMost( X, Z, T ) }.
% 0.94/1.54 { ! class_Orderings_Olinorder( X ), ! c_Orderings_Oord__class_Oless__eq( X
% 0.94/1.54 , Z, Y ), c_Lattices_Osemilattice__sup__class_Osup( tc_fun( X,
% 0.94/1.54 tc_HOL_Obool ), c_SetInterval_Oord__class_OatMost( X, Z ),
% 0.94/1.54 c_SetInterval_Oord__class_OgreaterThanAtMost( X, Z, Y ) ) =
% 0.94/1.54 c_SetInterval_Oord__class_OatMost( X, Y ) }.
% 0.94/1.54 { ! class_Orderings_Olinorder( X ), ! c_Orderings_Oord__class_Oless__eq( X
% 0.94/1.54 , Z, Y ), c_Lattices_Osemilattice__sup__class_Osup( tc_fun( X,
% 0.94/1.54 tc_HOL_Obool ), c_SetInterval_Oord__class_OgreaterThanAtMost( X, Z, Y ),
% 0.94/1.54 c_SetInterval_Oord__class_OgreaterThan( X, Y ) ) =
% 0.94/1.54 c_SetInterval_Oord__class_OgreaterThan( X, Z ) }.
% 0.94/1.54 { ! class_Orderings_Olinorder( X ), ! c_Orderings_Oord__class_Oless( X, Z,
% 0.94/1.54 Y ), ! c_Orderings_Oord__class_Oless__eq( X, Y, T ),
% 0.94/1.54 c_Lattices_Osemilattice__sup__class_Osup( tc_fun( X, tc_HOL_Obool ),
% 0.94/1.54 c_SetInterval_Oord__class_OgreaterThanLessThan( X, Z, Y ),
% 0.94/1.54 c_SetInterval_Oord__class_OatLeastLessThan( X, Y, T ) ) =
% 0.94/1.54 c_SetInterval_Oord__class_OgreaterThanLessThan( X, Z, T ) }.
% 0.94/1.54 { ! class_Orderings_Olinorder( X ), ! c_Orderings_Oord__class_Oless__eq( X
% 0.94/1.54 , Z, Y ), ! c_Orderings_Oord__class_Oless( X, Y, T ),
% 0.94/1.54 c_Lattices_Osemilattice__sup__class_Osup( tc_fun( X, tc_HOL_Obool ),
% 0.94/1.54 c_SetInterval_Oord__class_OgreaterThanAtMost( X, Z, Y ),
% 0.94/1.54 c_SetInterval_Oord__class_OgreaterThanLessThan( X, Y, T ) ) =
% 0.94/1.54 c_SetInterval_Oord__class_OgreaterThanLessThan( X, Z, T ) }.
% 0.94/1.54 { ! class_Orderings_Olinorder( X ), ! c_Orderings_Oord__class_Oless__eq( X
% 0.94/1.54 , Z, Y ), c_Lattices_Osemilattice__sup__class_Osup( tc_fun( X,
% 0.94/1.54 tc_HOL_Obool ), c_SetInterval_Oord__class_OatLeastLessThan( X, Z, Y ),
% 0.94/1.54 c_Set_Oinsert( X, Y, c_Orderings_Obot__class_Obot( tc_fun( X,
% 0.94/1.54 tc_HOL_Obool ) ) ) ) = c_SetInterval_Oord__class_OatLeastAtMost( X, Z, Y
% 0.94/1.54 ) }.
% 0.94/1.54 { ! class_Orderings_Olinorder( X ), ! c_Orderings_Oord__class_Oless( X, Z,
% 0.94/1.54 Y ), c_Lattices_Osemilattice__sup__class_Osup( tc_fun( X, tc_HOL_Obool )
% 0.94/1.54 , c_Set_Oinsert( X, Z, c_Orderings_Obot__class_Obot( tc_fun( X,
% 0.94/1.54 tc_HOL_Obool ) ) ), c_SetInterval_Oord__class_OgreaterThanLessThan( X, Z
% 0.94/1.54 , Y ) ) = c_SetInterval_Oord__class_OatLeastLessThan( X, Z, Y ) }.
% 0.94/1.54 { ! c_Orderings_Oord__class_Oless( tc_fun( T, tc_HOL_Obool ), Z,
% 0.94/1.54 c_Set_Oinsert( T, Y, X ) ), alpha11( X, Y, Z, T ) }.
% 0.94/1.54 { ! c_Orderings_Oord__class_Oless( tc_fun( T, tc_HOL_Obool ), Z,
% 0.94/1.54 c_Set_Oinsert( T, Y, X ) ), alpha25( X, Y, Z, T ) }.
% 0.94/1.54 { ! alpha11( X, Y, Z, T ), ! alpha25( X, Y, Z, T ),
% 0.94/1.54 c_Orderings_Oord__class_Oless( tc_fun( T, tc_HOL_Obool ), Z,
% 0.94/1.54 c_Set_Oinsert( T, Y, X ) ) }.
% 0.94/1.54 { ! alpha25( X, Y, Z, T ), c_member( T, Y, X ), alpha35( X, Y, Z, T ) }.
% 0.94/1.54 { ! c_member( T, Y, X ), alpha25( X, Y, Z, T ) }.
% 0.94/1.54 { ! alpha35( X, Y, Z, T ), alpha25( X, Y, Z, T ) }.
% 0.94/1.54 { ! alpha35( X, Y, Z, T ), alpha38( X, Y, Z, T ) }.
% 0.94/1.54 { ! alpha35( X, Y, Z, T ), alpha39( X, Y, Z, T ) }.
% 0.94/1.54 { ! alpha38( X, Y, Z, T ), ! alpha39( X, Y, Z, T ), alpha35( X, Y, Z, T ) }
% 0.94/1.54 .
% 0.94/1.54 { ! alpha39( X, Y, Z, T ), c_member( T, Y, Z ),
% 0.94/1.54 c_Orderings_Oord__class_Oless__eq( tc_fun( T, tc_HOL_Obool ), Z, X ) }.
% 0.94/1.54 { ! c_member( T, Y, Z ), alpha39( X, Y, Z, T ) }.
% 0.94/1.54 { ! c_Orderings_Oord__class_Oless__eq( tc_fun( T, tc_HOL_Obool ), Z, X ),
% 0.94/1.54 alpha39( X, Y, Z, T ) }.
% 0.94/1.54 { ! alpha38( X, Y, Z, T ), ! c_member( T, Y, Z ),
% 0.94/1.54 c_Orderings_Oord__class_Oless( tc_fun( T, tc_HOL_Obool ),
% 0.94/1.54 c_Groups_Ominus__class_Ominus( tc_fun( T, tc_HOL_Obool ), Z,
% 0.94/1.54 c_Set_Oinsert( T, Y, c_Orderings_Obot__class_Obot( tc_fun( T,
% 0.94/1.54 tc_HOL_Obool ) ) ) ), X ) }.
% 0.94/1.54 { c_member( T, Y, Z ), alpha38( X, Y, Z, T ) }.
% 0.94/1.54 { ! c_Orderings_Oord__class_Oless( tc_fun( T, tc_HOL_Obool ),
% 0.94/1.54 c_Groups_Ominus__class_Ominus( tc_fun( T, tc_HOL_Obool ), Z,
% 0.94/1.54 c_Set_Oinsert( T, Y, c_Orderings_Obot__class_Obot( tc_fun( T,
% 0.94/1.54 tc_HOL_Obool ) ) ) ), X ), alpha38( X, Y, Z, T ) }.
% 0.94/1.54 { ! alpha11( X, Y, Z, T ), ! c_member( T, Y, X ),
% 0.94/1.54 c_Orderings_Oord__class_Oless( tc_fun( T, tc_HOL_Obool ), Z, X ) }.
% 0.94/1.54 { c_member( T, Y, X ), alpha11( X, Y, Z, T ) }.
% 0.94/1.54 { ! c_Orderings_Oord__class_Oless( tc_fun( T, tc_HOL_Obool ), Z, X ),
% 0.94/1.54 alpha11( X, Y, Z, T ) }.
% 0.94/1.54 { ! class_Orderings_Oorder( X ), c_Lattices_Osemilattice__inf__class_Oinf(
% 0.94/1.54 tc_fun( X, tc_HOL_Obool ), c_SetInterval_Oord__class_OatMost( X, Y ),
% 0.94/1.54 c_SetInterval_Oord__class_OatLeast( X, Y ) ) = c_Set_Oinsert( X, Y,
% 0.94/1.54 c_Orderings_Obot__class_Obot( tc_fun( X, tc_HOL_Obool ) ) ) }.
% 0.94/1.54 { c_member( tc_RealDef_Oreal, c_RealDef_Oreal( tc_Nat_Onat, X ),
% 0.94/1.54 c_Nat_Osemiring__1__class_ONats( tc_RealDef_Oreal ) ) }.
% 0.94/1.54 { ! class_GCD_Ogcd( X ), c_GCD_Ogcd__class_OGcd( X,
% 0.94/1.54 c_Orderings_Obot__class_Obot( tc_fun( X, tc_HOL_Obool ) ) ) =
% 0.94/1.54 c_Groups_Ozero__class_Ozero( X ) }.
% 0.94/1.54 { ! c_Orderings_Oord__class_Oless__eq( tc_fun( T, tc_HOL_Obool ),
% 0.94/1.54 c_Groups_Ominus__class_Ominus( tc_fun( T, tc_HOL_Obool ), Z,
% 0.94/1.54 c_Set_Oinsert( T, Y, c_Orderings_Obot__class_Obot( tc_fun( T,
% 0.94/1.54 tc_HOL_Obool ) ) ) ), X ), ! c_member( T, Y, Z ),
% 0.94/1.54 c_Orderings_Oord__class_Oless__eq( tc_fun( T, tc_HOL_Obool ), Z,
% 0.94/1.54 c_Set_Oinsert( T, Y, X ) ) }.
% 0.94/1.54 { ! hBOOL( hAPP( Y, X ) ), ! hBOOL( hAPP( Z, X ) ), hBOOL( hAPP(
% 0.94/1.54 c_Lattices_Osemilattice__inf__class_Oinf( tc_fun( T, tc_HOL_Obool ), Y, Z
% 0.94/1.54 ), X ) ) }.
% 0.94/1.54 { ! hBOOL( hAPP( c_Lattices_Osemilattice__inf__class_Oinf( tc_fun( T,
% 0.94/1.54 tc_HOL_Obool ), Z, Y ), X ) ), hBOOL( hAPP( Z, X ) ) }.
% 0.94/1.54 { ! hBOOL( hAPP( c_Lattices_Osemilattice__inf__class_Oinf( tc_fun( T,
% 0.94/1.54 tc_HOL_Obool ), Z, Y ), X ) ), hBOOL( hAPP( Y, X ) ) }.
% 0.94/1.54 { ! c_member( T, Z, c_Lattices_Osemilattice__inf__class_Oinf( tc_fun( T,
% 0.94/1.54 tc_HOL_Obool ), Y, X ) ), c_member( T, Z, Y ) }.
% 0.94/1.54 { ! c_member( T, Z, c_Lattices_Osemilattice__inf__class_Oinf( tc_fun( T,
% 0.94/1.54 tc_HOL_Obool ), Y, X ) ), c_member( T, Z, X ) }.
% 0.94/1.54 { ! c_member( Z, Y, X ), ! c_member( Z, Y, T ), c_member( Z, Y,
% 0.94/1.54 c_Lattices_Osemilattice__inf__class_Oinf( tc_fun( Z, tc_HOL_Obool ), X, T
% 0.94/1.54 ) ) }.
% 0.94/1.54 { ! c_member( T, Z, c_Groups_Ominus__class_Ominus( tc_fun( T, tc_HOL_Obool
% 0.94/1.54 ), Y, X ) ), c_member( T, Z, Y ) }.
% 0.94/1.54 { ! c_member( T, Z, c_Groups_Ominus__class_Ominus( tc_fun( T, tc_HOL_Obool
% 0.94/1.54 ), Y, X ) ), ! c_member( T, Z, X ) }.
% 0.94/1.54 { ! c_member( Z, Y, X ), c_member( Z, Y, T ), c_member( Z, Y,
% 0.94/1.54 c_Groups_Ominus__class_Ominus( tc_fun( Z, tc_HOL_Obool ), X, T ) ) }.
% 0.94/1.54 { c_Lattices_Osemilattice__inf__class_Oinf( tc_fun( Z, tc_HOL_Obool ), Y,
% 0.94/1.54 c_Groups_Ominus__class_Ominus( tc_fun( Z, tc_HOL_Obool ), X, Y ) ) =
% 0.94/1.54 c_Orderings_Obot__class_Obot( tc_fun( Z, tc_HOL_Obool ) ) }.
% 0.94/1.54 { ! c_Lattices_Osemilattice__inf__class_Oinf( tc_fun( Z, tc_HOL_Obool ), Y
% 0.94/1.54 , X ) = c_Orderings_Obot__class_Obot( tc_fun( Z, tc_HOL_Obool ) ),
% 0.94/1.54 c_Groups_Ominus__class_Ominus( tc_fun( Z, tc_HOL_Obool ), Y, X ) = Y }.
% 0.94/1.54 { ! class_Lattices_Obounded__lattice__bot( X ),
% 0.94/1.54 c_Lattices_Osemilattice__inf__class_Oinf( X, Y,
% 0.94/1.54 c_Orderings_Obot__class_Obot( X ) ) = c_Orderings_Obot__class_Obot( X ) }
% 0.94/1.54 .
% 0.94/1.54 { ! class_Lattices_Obounded__lattice__bot( X ),
% 0.94/1.54 c_Lattices_Osemilattice__inf__class_Oinf( X, c_Orderings_Obot__class_Obot
% 0.94/1.54 ( X ), Y ) = c_Orderings_Obot__class_Obot( X ) }.
% 0.94/1.54 { ! class_Lattices_Odistrib__lattice( X ),
% 0.94/1.54 c_Lattices_Osemilattice__sup__class_Osup( X,
% 0.94/1.54 c_Lattices_Osemilattice__inf__class_Oinf( X, T, Z ), Y ) =
% 0.94/1.54 c_Lattices_Osemilattice__inf__class_Oinf( X,
% 0.94/1.54 c_Lattices_Osemilattice__sup__class_Osup( X, T, Y ),
% 0.94/1.54 c_Lattices_Osemilattice__sup__class_Osup( X, Z, Y ) ) }.
% 0.94/1.54 { ! class_Lattices_Odistrib__lattice( X ),
% 0.94/1.54 c_Lattices_Osemilattice__inf__class_Oinf( X,
% 0.94/1.54 c_Lattices_Osemilattice__sup__class_Osup( X, T, Z ), Y ) =
% 0.94/1.54 c_Lattices_Osemilattice__sup__class_Osup( X,
% 0.94/1.54 c_Lattices_Osemilattice__inf__class_Oinf( X, T, Y ),
% 0.94/1.54 c_Lattices_Osemilattice__inf__class_Oinf( X, Z, Y ) ) }.
% 0.94/1.54 { ! class_Lattices_Odistrib__lattice( X ),
% 0.94/1.54 c_Lattices_Osemilattice__sup__class_Osup( X, T,
% 0.94/1.54 c_Lattices_Osemilattice__inf__class_Oinf( X, Z, Y ) ) =
% 0.94/1.54 c_Lattices_Osemilattice__inf__class_Oinf( X,
% 0.94/1.54 c_Lattices_Osemilattice__sup__class_Osup( X, T, Z ),
% 0.94/1.54 c_Lattices_Osemilattice__sup__class_Osup( X, T, Y ) ) }.
% 0.94/1.54 { ! class_Lattices_Odistrib__lattice( X ),
% 0.94/1.54 c_Lattices_Osemilattice__inf__class_Oinf( X, T,
% 0.94/1.54 c_Lattices_Osemilattice__sup__class_Osup( X, Z, Y ) ) =
% 0.94/1.54 c_Lattices_Osemilattice__sup__class_Osup( X,
% 0.94/1.54 c_Lattices_Osemilattice__inf__class_Oinf( X, T, Z ),
% 0.94/1.54 c_Lattices_Osemilattice__inf__class_Oinf( X, T, Y ) ) }.
% 0.94/1.54 { ! class_Lattices_Olattice( X ), c_Lattices_Osemilattice__sup__class_Osup
% 0.94/1.54 ( X, Z, c_Lattices_Osemilattice__inf__class_Oinf( X, Z, Y ) ) = Z }.
% 0.94/1.54 { ! class_Lattices_Olattice( X ), c_Lattices_Osemilattice__inf__class_Oinf
% 0.94/1.54 ( X, Z, c_Lattices_Osemilattice__sup__class_Osup( X, Z, Y ) ) = Z }.
% 0.94/1.54 { ! class_Lattices_Obounded__lattice__top( X ),
% 0.94/1.54 c_Lattices_Osemilattice__inf__class_Oinf( X, c_Orderings_Otop__class_Otop
% 0.94/1.54 ( X ), Y ) = Y }.
% 0.94/1.54 { ! class_Lattices_Obounded__lattice__top( X ),
% 0.94/1.54 c_Lattices_Osemilattice__inf__class_Oinf( X, Y,
% 0.94/1.54 c_Orderings_Otop__class_Otop( X ) ) = Y }.
% 0.94/1.54 { ! class_Lattices_Obounded__lattice__top( X ), !
% 0.94/1.54 c_Lattices_Osemilattice__inf__class_Oinf( X, Z, Y ) =
% 0.94/1.54 c_Orderings_Otop__class_Otop( X ), Z = c_Orderings_Otop__class_Otop( X )
% 0.94/1.54 }.
% 0.94/1.54 { ! class_Lattices_Obounded__lattice__top( X ), !
% 0.94/1.54 c_Lattices_Osemilattice__inf__class_Oinf( X, Z, Y ) =
% 0.94/1.54 c_Orderings_Otop__class_Otop( X ), Y = c_Orderings_Otop__class_Otop( X )
% 0.94/1.54 }.
% 0.94/1.54 { ! class_Lattices_Obounded__lattice__top( X ), ! Z =
% 0.94/1.54 c_Orderings_Otop__class_Otop( X ), ! Y = c_Orderings_Otop__class_Otop( X
% 0.94/1.54 ), c_Lattices_Osemilattice__inf__class_Oinf( X, Z, Y ) =
% 0.94/1.54 c_Orderings_Otop__class_Otop( X ) }.
% 0.94/1.54 { ! c_member( T, Z, c_Lattices_Osemilattice__inf__class_Oinf( tc_fun( T,
% 0.94/1.54 tc_HOL_Obool ), Y, X ) ), c_member( T, Z, Y ) }.
% 0.94/1.54 { ! c_member( T, Z, c_Lattices_Osemilattice__inf__class_Oinf( tc_fun( T,
% 0.94/1.54 tc_HOL_Obool ), Y, X ) ), c_member( T, Z, X ) }.
% 0.94/1.54 { ! c_member( T, Z, Y ), ! c_member( T, Z, X ), c_member( T, Z,
% 0.94/1.54 c_Lattices_Osemilattice__inf__class_Oinf( tc_fun( T, tc_HOL_Obool ), Y, X
% 0.94/1.54 ) ) }.
% 0.94/1.54 { ! c_member( Z, Y, c_Lattices_Osemilattice__inf__class_Oinf( tc_fun( Z,
% 0.94/1.54 tc_HOL_Obool ), X, T ) ), c_member( Z, Y, X ) }.
% 0.94/1.54 { ! c_member( Z, Y, c_Lattices_Osemilattice__inf__class_Oinf( tc_fun( Z,
% 0.94/1.54 tc_HOL_Obool ), T, X ) ), c_member( Z, Y, X ) }.
% 0.94/1.54 { ! c_member( T, Z, c_Groups_Ominus__class_Ominus( tc_fun( T, tc_HOL_Obool
% 0.94/1.54 ), Y, X ) ), c_member( T, Z, Y ) }.
% 0.94/1.54 { ! c_member( T, Z, c_Groups_Ominus__class_Ominus( tc_fun( T, tc_HOL_Obool
% 0.94/1.54 ), Y, X ) ), ! c_member( T, Z, X ) }.
% 0.94/1.54 { ! c_member( T, Z, Y ), c_member( T, Z, X ), c_member( T, Z,
% 0.94/1.54 c_Groups_Ominus__class_Ominus( tc_fun( T, tc_HOL_Obool ), Y, X ) ) }.
% 0.94/1.54 { ! c_member( Z, Y, c_Groups_Ominus__class_Ominus( tc_fun( Z, tc_HOL_Obool
% 0.94/1.54 ), X, T ) ), c_member( Z, Y, X ) }.
% 0.94/1.54 { ! c_member( Z, Y, c_Groups_Ominus__class_Ominus( tc_fun( Z, tc_HOL_Obool
% 0.94/1.54 ), T, X ) ), ! c_member( Z, Y, X ) }.
% 0.94/1.54 { ! c_Lattices_Osemilattice__inf__class_Oinf( tc_fun( Z, tc_HOL_Obool ), Y
% 0.94/1.54 , X ) = c_Orderings_Obot__class_Obot( tc_fun( Z, tc_HOL_Obool ) ), !
% 0.94/1.54 c_member( Z, T, Y ), alpha12( X, Z, T ) }.
% 0.94/1.54 { c_member( Z, skol61( T, Y, Z ), Y ),
% 0.94/1.54 c_Lattices_Osemilattice__inf__class_Oinf( tc_fun( Z, tc_HOL_Obool ), Y, X
% 0.94/1.54 ) = c_Orderings_Obot__class_Obot( tc_fun( Z, tc_HOL_Obool ) ) }.
% 0.94/1.54 { ! alpha12( X, Z, skol61( X, Y, Z ) ),
% 0.94/1.54 c_Lattices_Osemilattice__inf__class_Oinf( tc_fun( Z, tc_HOL_Obool ), Y, X
% 0.94/1.54 ) = c_Orderings_Obot__class_Obot( tc_fun( Z, tc_HOL_Obool ) ) }.
% 0.94/1.54 { ! alpha12( X, Y, Z ), ! c_member( Y, T, X ), ! Z = T }.
% 0.94/1.54 { Z = skol62( T, U, Z ), alpha12( X, Y, Z ) }.
% 0.94/1.54 { c_member( Y, skol62( X, Y, Z ), X ), alpha12( X, Y, Z ) }.
% 0.94/1.54 { c_Lattices_Osemilattice__inf__class_Oinf( tc_fun( Y, tc_HOL_Obool ), X,
% 0.94/1.54 c_Orderings_Obot__class_Obot( tc_fun( Y, tc_HOL_Obool ) ) ) =
% 0.94/1.54 c_Orderings_Obot__class_Obot( tc_fun( Y, tc_HOL_Obool ) ) }.
% 0.94/1.54 { c_Lattices_Osemilattice__inf__class_Oinf( tc_fun( Y, tc_HOL_Obool ),
% 0.94/1.54 c_Orderings_Obot__class_Obot( tc_fun( Y, tc_HOL_Obool ) ), X ) =
% 0.94/1.54 c_Orderings_Obot__class_Obot( tc_fun( Y, tc_HOL_Obool ) ) }.
% 0.94/1.54 { c_Groups_Ominus__class_Ominus( tc_fun( Y, tc_HOL_Obool ), X, X ) =
% 0.94/1.54 c_Orderings_Obot__class_Obot( tc_fun( Y, tc_HOL_Obool ) ) }.
% 0.94/1.54 { c_Groups_Ominus__class_Ominus( tc_fun( Y, tc_HOL_Obool ), X,
% 0.94/1.54 c_Orderings_Obot__class_Obot( tc_fun( Y, tc_HOL_Obool ) ) ) = X }.
% 0.94/1.54 { c_Groups_Ominus__class_Ominus( tc_fun( Y, tc_HOL_Obool ),
% 0.94/1.54 c_Orderings_Obot__class_Obot( tc_fun( Y, tc_HOL_Obool ) ), X ) =
% 0.94/1.54 c_Orderings_Obot__class_Obot( tc_fun( Y, tc_HOL_Obool ) ) }.
% 0.94/1.54 { c_Lattices_Osemilattice__inf__class_Oinf( tc_fun( T, tc_HOL_Obool ),
% 0.94/1.54 c_Set_Oinsert( T, Z, Y ), c_Set_Oinsert( T, Z, X ) ) = c_Set_Oinsert( T,
% 0.94/1.54 Z, c_Lattices_Osemilattice__inf__class_Oinf( tc_fun( T, tc_HOL_Obool ), Y
% 0.94/1.54 , X ) ) }.
% 0.94/1.54 { c_Lattices_Osemilattice__inf__class_Oinf( tc_fun( Y, tc_HOL_Obool ),
% 0.94/1.54 c_Orderings_Otop__class_Otop( tc_fun( Y, tc_HOL_Obool ) ), X ) = X }.
% 0.94/1.54 { c_Lattices_Osemilattice__inf__class_Oinf( tc_fun( Y, tc_HOL_Obool ), X,
% 0.94/1.54 c_Orderings_Otop__class_Otop( tc_fun( Y, tc_HOL_Obool ) ) ) = X }.
% 0.94/1.54 { ! c_Orderings_Oord__class_Oless__eq( tc_fun( Z, tc_HOL_Obool ), Y, X ), !
% 0.94/1.54 c_Orderings_Oord__class_Oless__eq( tc_fun( Z, tc_HOL_Obool ), U, T ),
% 0.94/1.54 c_Orderings_Oord__class_Oless__eq( tc_fun( Z, tc_HOL_Obool ),
% 0.94/1.54 c_Lattices_Osemilattice__inf__class_Oinf( tc_fun( Z, tc_HOL_Obool ), Y, U
% 0.94/1.54 ), c_Lattices_Osemilattice__inf__class_Oinf( tc_fun( Z, tc_HOL_Obool ),
% 0.94/1.54 X, T ) ) }.
% 0.94/1.54 { ! c_Orderings_Oord__class_Oless__eq( tc_fun( Z, tc_HOL_Obool ), Y, X ), !
% 0.94/1.54 c_Orderings_Oord__class_Oless__eq( tc_fun( Z, tc_HOL_Obool ), Y, T ),
% 0.94/1.54 c_Orderings_Oord__class_Oless__eq( tc_fun( Z, tc_HOL_Obool ), Y,
% 0.94/1.54 c_Lattices_Osemilattice__inf__class_Oinf( tc_fun( Z, tc_HOL_Obool ), X, T
% 0.94/1.54 ) ) }.
% 0.94/1.54 { ! c_Orderings_Oord__class_Oless__eq( tc_fun( Z, tc_HOL_Obool ), Y, X ),
% 0.94/1.54 c_Lattices_Osemilattice__inf__class_Oinf( tc_fun( Z, tc_HOL_Obool ), X, Y
% 0.94/1.54 ) = Y }.
% 0.94/1.54 { ! c_Orderings_Oord__class_Oless__eq( tc_fun( Z, tc_HOL_Obool ), Y, X ),
% 0.94/1.54 c_Lattices_Osemilattice__inf__class_Oinf( tc_fun( Z, tc_HOL_Obool ), Y, X
% 0.94/1.54 ) = Y }.
% 0.94/1.54 { c_Orderings_Oord__class_Oless__eq( tc_fun( Z, tc_HOL_Obool ),
% 0.94/1.54 c_Lattices_Osemilattice__inf__class_Oinf( tc_fun( Z, tc_HOL_Obool ), Y, X
% 0.94/1.54 ), X ) }.
% 0.94/1.54 { c_Orderings_Oord__class_Oless__eq( tc_fun( Z, tc_HOL_Obool ),
% 0.94/1.54 c_Lattices_Osemilattice__inf__class_Oinf( tc_fun( Z, tc_HOL_Obool ), Y, X
% 0.94/1.54 ), Y ) }.
% 0.94/1.54 { ! c_Orderings_Oord__class_Oless__eq( tc_fun( Z, tc_HOL_Obool ), Y, X ), !
% 0.94/1.54 c_Orderings_Oord__class_Oless__eq( tc_fun( Z, tc_HOL_Obool ), X, T ),
% 0.94/1.54 c_Groups_Ominus__class_Ominus( tc_fun( Z, tc_HOL_Obool ), X,
% 0.94/1.54 c_Groups_Ominus__class_Ominus( tc_fun( Z, tc_HOL_Obool ), T, Y ) ) = Y }
% 0.94/1.54 .
% 0.94/1.54 { ! c_Orderings_Oord__class_Oless__eq( tc_fun( Z, tc_HOL_Obool ), Y, X ), !
% 0.94/1.54 c_Orderings_Oord__class_Oless__eq( tc_fun( Z, tc_HOL_Obool ), U, T ),
% 0.94/1.54 c_Orderings_Oord__class_Oless__eq( tc_fun( Z, tc_HOL_Obool ),
% 0.94/1.54 c_Groups_Ominus__class_Ominus( tc_fun( Z, tc_HOL_Obool ), Y, T ),
% 0.94/1.54 c_Groups_Ominus__class_Ominus( tc_fun( Z, tc_HOL_Obool ), X, U ) ) }.
% 0.94/1.54 { c_Orderings_Oord__class_Oless__eq( tc_fun( Z, tc_HOL_Obool ),
% 0.94/1.54 c_Groups_Ominus__class_Ominus( tc_fun( Z, tc_HOL_Obool ), Y, X ), Y ) }.
% 0.94/1.54 { c_Lattices_Osemilattice__sup__class_Osup( tc_fun( T, tc_HOL_Obool ),
% 0.94/1.54 c_Lattices_Osemilattice__sup__class_Osup( tc_fun( T, tc_HOL_Obool ),
% 0.94/1.54 c_Lattices_Osemilattice__inf__class_Oinf( tc_fun( T, tc_HOL_Obool ), Z, Y
% 0.94/1.54 ), c_Lattices_Osemilattice__inf__class_Oinf( tc_fun( T, tc_HOL_Obool ),
% 0.94/1.54 Y, X ) ), c_Lattices_Osemilattice__inf__class_Oinf( tc_fun( T,
% 0.94/1.54 tc_HOL_Obool ), X, Z ) ) = c_Lattices_Osemilattice__inf__class_Oinf(
% 0.94/1.54 tc_fun( T, tc_HOL_Obool ), c_Lattices_Osemilattice__inf__class_Oinf(
% 0.94/1.54 tc_fun( T, tc_HOL_Obool ), c_Lattices_Osemilattice__sup__class_Osup(
% 0.94/1.54 tc_fun( T, tc_HOL_Obool ), Z, Y ),
% 0.94/1.54 c_Lattices_Osemilattice__sup__class_Osup( tc_fun( T, tc_HOL_Obool ), Y, X
% 0.94/1.54 ) ), c_Lattices_Osemilattice__sup__class_Osup( tc_fun( T, tc_HOL_Obool )
% 0.94/1.54 , X, Z ) ) }.
% 0.94/1.54 { c_Lattices_Osemilattice__sup__class_Osup( tc_fun( T, tc_HOL_Obool ),
% 0.94/1.54 c_Lattices_Osemilattice__inf__class_Oinf( tc_fun( T, tc_HOL_Obool ), Z, Y
% 0.94/1.54 ), X ) = c_Lattices_Osemilattice__inf__class_Oinf( tc_fun( T,
% 0.94/1.54 tc_HOL_Obool ), c_Lattices_Osemilattice__sup__class_Osup( tc_fun( T,
% 0.94/1.54 tc_HOL_Obool ), Z, X ), c_Lattices_Osemilattice__sup__class_Osup( tc_fun
% 0.94/1.54 ( T, tc_HOL_Obool ), Y, X ) ) }.
% 0.94/1.54 { c_Lattices_Osemilattice__inf__class_Oinf( tc_fun( T, tc_HOL_Obool ),
% 0.94/1.54 c_Lattices_Osemilattice__sup__class_Osup( tc_fun( T, tc_HOL_Obool ), Z, Y
% 0.94/1.54 ), X ) = c_Lattices_Osemilattice__sup__class_Osup( tc_fun( T,
% 0.94/1.54 tc_HOL_Obool ), c_Lattices_Osemilattice__inf__class_Oinf( tc_fun( T,
% 0.94/1.54 tc_HOL_Obool ), Z, X ), c_Lattices_Osemilattice__inf__class_Oinf( tc_fun
% 0.94/1.54 ( T, tc_HOL_Obool ), Y, X ) ) }.
% 0.94/1.54 { c_Lattices_Osemilattice__sup__class_Osup( tc_fun( T, tc_HOL_Obool ), Z,
% 0.94/1.54 c_Lattices_Osemilattice__inf__class_Oinf( tc_fun( T, tc_HOL_Obool ), Y, X
% 0.94/1.54 ) ) = c_Lattices_Osemilattice__inf__class_Oinf( tc_fun( T, tc_HOL_Obool
% 0.94/1.54 ), c_Lattices_Osemilattice__sup__class_Osup( tc_fun( T, tc_HOL_Obool ),
% 0.94/1.54 Z, Y ), c_Lattices_Osemilattice__sup__class_Osup( tc_fun( T, tc_HOL_Obool
% 0.94/1.54 ), Z, X ) ) }.
% 0.94/1.54 { c_Lattices_Osemilattice__inf__class_Oinf( tc_fun( T, tc_HOL_Obool ), Z,
% 0.94/1.54 c_Lattices_Osemilattice__sup__class_Osup( tc_fun( T, tc_HOL_Obool ), Y, X
% 0.94/1.54 ) ) = c_Lattices_Osemilattice__sup__class_Osup( tc_fun( T, tc_HOL_Obool
% 0.94/1.54 ), c_Lattices_Osemilattice__inf__class_Oinf( tc_fun( T, tc_HOL_Obool ),
% 0.94/1.54 Z, Y ), c_Lattices_Osemilattice__inf__class_Oinf( tc_fun( T, tc_HOL_Obool
% 0.94/1.54 ), Z, X ) ) }.
% 0.94/1.54 { c_Groups_Ominus__class_Ominus( tc_fun( T, tc_HOL_Obool ),
% 0.94/1.54 c_Lattices_Osemilattice__sup__class_Osup( tc_fun( T, tc_HOL_Obool ), Z, Y
% 0.94/1.54 ), X ) = c_Lattices_Osemilattice__sup__class_Osup( tc_fun( T,
% 0.94/1.54 tc_HOL_Obool ), c_Groups_Ominus__class_Ominus( tc_fun( T, tc_HOL_Obool )
% 0.94/1.54 , Z, X ), c_Groups_Ominus__class_Ominus( tc_fun( T, tc_HOL_Obool ), Y, X
% 0.94/1.54 ) ) }.
% 0.94/1.54 { c_Lattices_Osemilattice__sup__class_Osup( tc_fun( Z, tc_HOL_Obool ),
% 0.94/1.54 c_Groups_Ominus__class_Ominus( tc_fun( Z, tc_HOL_Obool ), Y, X ), X ) =
% 0.94/1.54 c_Lattices_Osemilattice__sup__class_Osup( tc_fun( Z, tc_HOL_Obool ), Y, X
% 0.94/1.54 ) }.
% 0.94/1.54 { c_Lattices_Osemilattice__sup__class_Osup( tc_fun( Z, tc_HOL_Obool ), Y,
% 0.94/1.54 c_Groups_Ominus__class_Ominus( tc_fun( Z, tc_HOL_Obool ), X, Y ) ) =
% 0.94/1.54 c_Lattices_Osemilattice__sup__class_Osup( tc_fun( Z, tc_HOL_Obool ), Y, X
% 0.94/1.54 ) }.
% 0.94/1.54 { c_Groups_Ominus__class_Ominus( tc_fun( T, tc_HOL_Obool ), Z,
% 0.94/1.54 c_Lattices_Osemilattice__inf__class_Oinf( tc_fun( T, tc_HOL_Obool ), Y, X
% 0.94/1.54 ) ) = c_Lattices_Osemilattice__sup__class_Osup( tc_fun( T, tc_HOL_Obool
% 0.94/1.54 ), c_Groups_Ominus__class_Ominus( tc_fun( T, tc_HOL_Obool ), Z, Y ),
% 0.94/1.54 c_Groups_Ominus__class_Ominus( tc_fun( T, tc_HOL_Obool ), Z, X ) ) }.
% 0.94/1.54 { c_Groups_Ominus__class_Ominus( tc_fun( T, tc_HOL_Obool ), Z,
% 0.94/1.54 c_Lattices_Osemilattice__sup__class_Osup( tc_fun( T, tc_HOL_Obool ), Y, X
% 0.94/1.54 ) ) = c_Lattices_Osemilattice__inf__class_Oinf( tc_fun( T, tc_HOL_Obool
% 0.94/1.54 ), c_Groups_Ominus__class_Ominus( tc_fun( T, tc_HOL_Obool ), Z, Y ),
% 0.94/1.54 c_Groups_Ominus__class_Ominus( tc_fun( T, tc_HOL_Obool ), Z, X ) ) }.
% 0.94/1.54 { c_Lattices_Osemilattice__sup__class_Osup( tc_fun( Z, tc_HOL_Obool ),
% 0.94/1.54 c_Groups_Ominus__class_Ominus( tc_fun( Z, tc_HOL_Obool ), Y, X ),
% 0.94/1.54 c_Lattices_Osemilattice__inf__class_Oinf( tc_fun( Z, tc_HOL_Obool ), Y, X
% 0.94/1.54 ) ) = Y }.
% 0.94/1.54 { ! class_Lattices_Osemilattice__inf( X ),
% 0.94/1.54 c_Lattices_Osemilattice__inf__class_Oinf( X, Y, Y ) = Y }.
% 0.94/1.54 { ! class_Lattices_Osemilattice__inf( X ),
% 0.94/1.54 c_Lattices_Osemilattice__inf__class_Oinf( X, Y, Y ) = Y }.
% 0.94/1.54 { ! class_Lattices_Osemilattice__inf( X ),
% 0.94/1.54 c_Lattices_Osemilattice__inf__class_Oinf( X, Z, Y ) =
% 0.94/1.54 c_Lattices_Osemilattice__inf__class_Oinf( X, Y, Z ) }.
% 0.94/1.54 { ! class_Lattices_Olattice( X ), c_Lattices_Osemilattice__inf__class_Oinf
% 0.94/1.54 ( X, Z, Y ) = c_Lattices_Osemilattice__inf__class_Oinf( X, Y, Z ) }.
% 0.94/1.54 { ! class_Lattices_Osemilattice__inf( X ),
% 0.94/1.54 c_Lattices_Osemilattice__inf__class_Oinf( X, Z, Y ) =
% 0.94/1.54 c_Lattices_Osemilattice__inf__class_Oinf( X, Y, Z ) }.
% 0.94/1.54 { ! class_Lattices_Osemilattice__inf( X ),
% 0.94/1.54 c_Lattices_Osemilattice__inf__class_Oinf( X, Z,
% 0.94/1.54 c_Lattices_Osemilattice__inf__class_Oinf( X, Z, Y ) ) =
% 0.94/1.54 c_Lattices_Osemilattice__inf__class_Oinf( X, Z, Y ) }.
% 0.94/1.54 { ! class_Lattices_Olattice( X ), c_Lattices_Osemilattice__inf__class_Oinf
% 0.94/1.54 ( X, Z, c_Lattices_Osemilattice__inf__class_Oinf( X, Z, Y ) ) =
% 0.94/1.54 c_Lattices_Osemilattice__inf__class_Oinf( X, Z, Y ) }.
% 0.94/1.54 { ! class_Lattices_Osemilattice__inf( X ),
% 0.94/1.54 c_Lattices_Osemilattice__inf__class_Oinf( X, Z,
% 0.94/1.54 c_Lattices_Osemilattice__inf__class_Oinf( X, Z, Y ) ) =
% 0.94/1.54 c_Lattices_Osemilattice__inf__class_Oinf( X, Z, Y ) }.
% 0.94/1.54 { ! class_Lattices_Osemilattice__inf( X ),
% 0.94/1.54 c_Lattices_Osemilattice__inf__class_Oinf( X, T,
% 0.94/1.54 c_Lattices_Osemilattice__inf__class_Oinf( X, Z, Y ) ) =
% 0.94/1.54 c_Lattices_Osemilattice__inf__class_Oinf( X, Z,
% 0.94/1.54 c_Lattices_Osemilattice__inf__class_Oinf( X, T, Y ) ) }.
% 0.94/1.54 { ! class_Lattices_Olattice( X ), c_Lattices_Osemilattice__inf__class_Oinf
% 0.94/1.54 ( X, T, c_Lattices_Osemilattice__inf__class_Oinf( X, Z, Y ) ) =
% 0.94/1.54 c_Lattices_Osemilattice__inf__class_Oinf( X, Z,
% 0.94/1.54 c_Lattices_Osemilattice__inf__class_Oinf( X, T, Y ) ) }.
% 0.94/1.54 { ! class_Lattices_Osemilattice__inf( X ),
% 0.94/1.54 c_Lattices_Osemilattice__inf__class_Oinf( X, T,
% 0.94/1.54 c_Lattices_Osemilattice__inf__class_Oinf( X, Z, Y ) ) =
% 0.94/1.54 c_Lattices_Osemilattice__inf__class_Oinf( X, Z,
% 0.94/1.54 c_Lattices_Osemilattice__inf__class_Oinf( X, T, Y ) ) }.
% 0.94/1.54 { ! class_Lattices_Osemilattice__inf( X ),
% 0.94/1.54 c_Lattices_Osemilattice__inf__class_Oinf( X,
% 0.94/1.54 c_Lattices_Osemilattice__inf__class_Oinf( X, T, Z ), Y ) =
% 0.94/1.54 c_Lattices_Osemilattice__inf__class_Oinf( X, T,
% 0.94/1.54 c_Lattices_Osemilattice__inf__class_Oinf( X, Z, Y ) ) }.
% 0.94/1.54 { ! class_Lattices_Olattice( X ), c_Lattices_Osemilattice__inf__class_Oinf
% 0.94/1.54 ( X, c_Lattices_Osemilattice__inf__class_Oinf( X, T, Z ), Y ) =
% 0.94/1.54 c_Lattices_Osemilattice__inf__class_Oinf( X, T,
% 0.94/1.54 c_Lattices_Osemilattice__inf__class_Oinf( X, Z, Y ) ) }.
% 0.94/1.54 { ! class_Lattices_Osemilattice__inf( X ),
% 0.94/1.54 c_Lattices_Osemilattice__inf__class_Oinf( X,
% 0.94/1.54 c_Lattices_Osemilattice__inf__class_Oinf( X, T, Z ), Y ) =
% 0.94/1.54 c_Lattices_Osemilattice__inf__class_Oinf( X, T,
% 0.94/1.54 c_Lattices_Osemilattice__inf__class_Oinf( X, Z, Y ) ) }.
% 0.94/1.54 { ! class_Groups_Ominus( X ), hAPP( c_Groups_Ominus__class_Ominus( tc_fun(
% 0.94/1.54 U, X ), T, Z ), Y ) = c_Groups_Ominus__class_Ominus( X, hAPP( T, Y ),
% 0.94/1.54 hAPP( Z, Y ) ) }.
% 0.94/1.54 { ! class_Lattices_Olattice( X ), hAPP(
% 0.94/1.54 c_Lattices_Osemilattice__inf__class_Oinf( tc_fun( U, X ), T, Z ), Y ) =
% 0.94/1.54 c_Lattices_Osemilattice__inf__class_Oinf( X, hAPP( T, Y ), hAPP( Z, Y ) )
% 0.94/1.54 }.
% 0.94/1.54 { c_Set_OPow( Z, c_Lattices_Osemilattice__inf__class_Oinf( tc_fun( Z,
% 0.94/1.54 tc_HOL_Obool ), Y, X ) ) = c_Lattices_Osemilattice__inf__class_Oinf(
% 0.94/1.54 tc_fun( tc_fun( Z, tc_HOL_Obool ), tc_HOL_Obool ), c_Set_OPow( Z, Y ),
% 0.94/1.54 c_Set_OPow( Z, X ) ) }.
% 0.94/1.54 { c_Lattices_Osemilattice__inf__class_Oinf( tc_fun( Y, tc_HOL_Obool ), X, X
% 0.94/1.54 ) = X }.
% 0.94/1.54 { c_Lattices_Osemilattice__inf__class_Oinf( tc_fun( Z, tc_HOL_Obool ), Y, X
% 0.94/1.54 ) = c_Lattices_Osemilattice__inf__class_Oinf( tc_fun( Z, tc_HOL_Obool )
% 0.94/1.54 , X, Y ) }.
% 0.94/1.54 { c_Lattices_Osemilattice__inf__class_Oinf( tc_fun( Z, tc_HOL_Obool ), Y,
% 0.94/1.54 c_Lattices_Osemilattice__inf__class_Oinf( tc_fun( Z, tc_HOL_Obool ), Y, X
% 0.94/1.54 ) ) = c_Lattices_Osemilattice__inf__class_Oinf( tc_fun( Z, tc_HOL_Obool
% 0.94/1.54 ), Y, X ) }.
% 0.94/1.54 { c_Lattices_Osemilattice__inf__class_Oinf( tc_fun( T, tc_HOL_Obool ), Z,
% 0.94/1.54 c_Lattices_Osemilattice__inf__class_Oinf( tc_fun( T, tc_HOL_Obool ), Y, X
% 0.94/1.54 ) ) = c_Lattices_Osemilattice__inf__class_Oinf( tc_fun( T, tc_HOL_Obool
% 0.94/1.54 ), Y, c_Lattices_Osemilattice__inf__class_Oinf( tc_fun( T, tc_HOL_Obool
% 0.94/1.54 ), Z, X ) ) }.
% 0.94/1.54 { c_Lattices_Osemilattice__inf__class_Oinf( tc_fun( T, tc_HOL_Obool ), Z,
% 0.94/1.54 c_Groups_Ominus__class_Ominus( tc_fun( T, tc_HOL_Obool ), Y, X ) ) =
% 0.94/1.54 c_Groups_Ominus__class_Ominus( tc_fun( T, tc_HOL_Obool ),
% 0.94/1.54 c_Lattices_Osemilattice__inf__class_Oinf( tc_fun( T, tc_HOL_Obool ), Z, Y
% 0.94/1.54 ), c_Lattices_Osemilattice__inf__class_Oinf( tc_fun( T, tc_HOL_Obool ),
% 0.94/1.54 Z, X ) ) }.
% 0.94/1.54 { c_Groups_Ominus__class_Ominus( tc_fun( Z, tc_HOL_Obool ),
% 0.94/1.54 c_Groups_Ominus__class_Ominus( tc_fun( Z, tc_HOL_Obool ), Y, X ), X ) =
% 0.94/1.54 c_Groups_Ominus__class_Ominus( tc_fun( Z, tc_HOL_Obool ), Y, X ) }.
% 0.94/1.54 { c_Groups_Ominus__class_Ominus( tc_fun( T, tc_HOL_Obool ),
% 0.94/1.54 c_Lattices_Osemilattice__inf__class_Oinf( tc_fun( T, tc_HOL_Obool ), Z, Y
% 0.94/1.54 ), X ) = c_Lattices_Osemilattice__inf__class_Oinf( tc_fun( T,
% 0.94/1.54 tc_HOL_Obool ), Z, c_Groups_Ominus__class_Ominus( tc_fun( T, tc_HOL_Obool
% 0.94/1.54 ), Y, X ) ) }.
% 0.94/1.54 { c_Lattices_Osemilattice__inf__class_Oinf( tc_fun( T, tc_HOL_Obool ),
% 0.94/1.54 c_Lattices_Osemilattice__inf__class_Oinf( tc_fun( T, tc_HOL_Obool ), Z, Y
% 0.94/1.54 ), X ) = c_Lattices_Osemilattice__inf__class_Oinf( tc_fun( T,
% 0.94/1.54 tc_HOL_Obool ), Z, c_Lattices_Osemilattice__inf__class_Oinf( tc_fun( T,
% 0.94/1.54 tc_HOL_Obool ), Y, X ) ) }.
% 0.94/1.54 { c_Lattices_Osemilattice__inf__class_Oinf( tc_fun( T, tc_HOL_Obool ),
% 0.94/1.54 c_Groups_Ominus__class_Ominus( tc_fun( T, tc_HOL_Obool ), Z, Y ), X ) =
% 0.94/1.54 c_Groups_Ominus__class_Ominus( tc_fun( T, tc_HOL_Obool ),
% 0.94/1.54 c_Lattices_Osemilattice__inf__class_Oinf( tc_fun( T, tc_HOL_Obool ), Z, X
% 0.94/1.54 ), c_Lattices_Osemilattice__inf__class_Oinf( tc_fun( T, tc_HOL_Obool ),
% 0.94/1.54 Y, X ) ) }.
% 0.94/1.54 { c_Groups_Ominus__class_Ominus( tc_fun( T, tc_HOL_Obool ),
% 0.94/1.54 c_Lattices_Osemilattice__inf__class_Oinf( tc_fun( T, tc_HOL_Obool ), Z, Y
% 0.94/1.54 ), c_Lattices_Osemilattice__inf__class_Oinf( tc_fun( T, tc_HOL_Obool ),
% 0.94/1.54 X, Y ) ) = c_Groups_Ominus__class_Ominus( tc_fun( T, tc_HOL_Obool ),
% 0.94/1.54 c_Lattices_Osemilattice__inf__class_Oinf( tc_fun( T, tc_HOL_Obool ), Z, Y
% 0.94/1.54 ), X ) }.
% 0.94/1.54 { ! hBOOL( hAPP( c_Lattices_Osemilattice__inf__class_Oinf( tc_fun( T,
% 0.94/1.54 tc_HOL_Obool ), Y, Z ), X ) ), hBOOL( hAPP( Y, X ) ) }.
% 0.94/1.54 { ! hBOOL( hAPP( c_Lattices_Osemilattice__inf__class_Oinf( tc_fun( T,
% 0.94/1.54 tc_HOL_Obool ), Z, Y ), X ) ), hBOOL( hAPP( Y, X ) ) }.
% 0.94/1.54 { ! class_Lattices_Osemilattice__inf( X ), ! c_Orderings_Oord__class_Oless
% 0.94/1.54 ( X, Z, Y ), c_Orderings_Oord__class_Oless( X,
% 0.94/1.54 c_Lattices_Osemilattice__inf__class_Oinf( X, Z, T ), Y ) }.
% 0.94/1.54 { ! class_Lattices_Osemilattice__inf( X ), ! c_Orderings_Oord__class_Oless
% 0.94/1.54 ( X, Z, Y ), c_Orderings_Oord__class_Oless( X,
% 0.94/1.54 c_Lattices_Osemilattice__inf__class_Oinf( X, T, Z ), Y ) }.
% 0.94/1.54 { ! class_Lattices_Osemilattice__inf( X ), !
% 0.94/1.54 c_Orderings_Oord__class_Oless__eq( X, T,
% 0.94/1.54 c_Lattices_Osemilattice__inf__class_Oinf( X, Z, Y ) ),
% 0.94/1.54 c_Orderings_Oord__class_Oless__eq( X, T, Z ) }.
% 0.94/1.54 { ! class_Lattices_Osemilattice__inf( X ), !
% 0.94/1.54 c_Orderings_Oord__class_Oless__eq( X, T,
% 0.94/1.54 c_Lattices_Osemilattice__inf__class_Oinf( X, Z, Y ) ),
% 0.94/1.54 c_Orderings_Oord__class_Oless__eq( X, T, Y ) }.
% 0.94/1.54 { ! class_Lattices_Osemilattice__inf( X ), !
% 0.94/1.54 c_Orderings_Oord__class_Oless__eq( X, Z, Y ), !
% 0.94/1.54 c_Orderings_Oord__class_Oless__eq( X, U, T ),
% 0.94/1.54 c_Orderings_Oord__class_Oless__eq( X,
% 0.94/1.54 c_Lattices_Osemilattice__inf__class_Oinf( X, Z, U ),
% 0.94/1.54 c_Lattices_Osemilattice__inf__class_Oinf( X, Y, T ) ) }.
% 0.94/1.54 { ! class_Lattices_Osemilattice__inf( X ), !
% 0.94/1.54 c_Orderings_Oord__class_Oless__eq( X, Z, Y ), !
% 0.94/1.54 c_Orderings_Oord__class_Oless__eq( X, Z, T ),
% 0.94/1.54 c_Orderings_Oord__class_Oless__eq( X, Z,
% 0.94/1.54 c_Lattices_Osemilattice__inf__class_Oinf( X, Y, T ) ) }.
% 0.94/1.54 { ! class_Lattices_Osemilattice__inf( X ), !
% 0.94/1.54 c_Orderings_Oord__class_Oless__eq( X, Z, Y ), !
% 0.94/1.54 c_Orderings_Oord__class_Oless__eq( X, Z, T ),
% 0.94/1.54 c_Orderings_Oord__class_Oless__eq( X, Z,
% 0.94/1.54 c_Lattices_Osemilattice__inf__class_Oinf( X, Y, T ) ) }.
% 0.94/1.54 { ! class_Lattices_Osemilattice__inf( X ), !
% 0.94/1.54 c_Orderings_Oord__class_Oless__eq( X, Z, Y ),
% 0.94/1.54 c_Lattices_Osemilattice__inf__class_Oinf( X, Y, Z ) = Z }.
% 0.94/1.54 { ! class_Lattices_Osemilattice__inf( X ), !
% 0.94/1.54 c_Orderings_Oord__class_Oless__eq( X, Z, Y ),
% 0.94/1.54 c_Lattices_Osemilattice__inf__class_Oinf( X, Z, Y ) = Z }.
% 0.94/1.54 { ! class_Lattices_Osemilattice__inf( X ), !
% 0.94/1.54 c_Orderings_Oord__class_Oless__eq( X, Z, Y ),
% 0.94/1.54 c_Orderings_Oord__class_Oless__eq( X,
% 0.94/1.54 c_Lattices_Osemilattice__inf__class_Oinf( X, T, Z ), Y ) }.
% 0.94/1.54 { ! class_Lattices_Osemilattice__inf( X ), !
% 0.94/1.54 c_Orderings_Oord__class_Oless__eq( X, Z, Y ),
% 0.94/1.54 c_Orderings_Oord__class_Oless__eq( X,
% 0.94/1.54 c_Lattices_Osemilattice__inf__class_Oinf( X, Z, T ), Y ) }.
% 0.94/1.54 { ! class_Lattices_Osemilattice__inf( X ), !
% 0.94/1.54 c_Orderings_Oord__class_Oless__eq( X, T,
% 0.94/1.54 c_Lattices_Osemilattice__inf__class_Oinf( X, Z, Y ) ),
% 0.94/1.54 c_Orderings_Oord__class_Oless__eq( X, T, Z ) }.
% 0.94/1.54 { ! class_Lattices_Osemilattice__inf( X ), !
% 0.94/1.54 c_Orderings_Oord__class_Oless__eq( X, T,
% 0.94/1.54 c_Lattices_Osemilattice__inf__class_Oinf( X, Z, Y ) ),
% 0.94/1.54 c_Orderings_Oord__class_Oless__eq( X, T, Y ) }.
% 0.94/1.54 { ! class_Lattices_Osemilattice__inf( X ), !
% 0.94/1.54 c_Orderings_Oord__class_Oless__eq( X, T, Z ), !
% 0.94/1.54 c_Orderings_Oord__class_Oless__eq( X, T, Y ),
% 0.94/1.54 c_Orderings_Oord__class_Oless__eq( X, T,
% 0.94/1.54 c_Lattices_Osemilattice__inf__class_Oinf( X, Z, Y ) ) }.
% 0.94/1.54 { ! class_Lattices_Osemilattice__inf( X ), !
% 0.94/1.54 c_Orderings_Oord__class_Oless__eq( X, Z, Y ),
% 0.94/1.54 c_Lattices_Osemilattice__inf__class_Oinf( X, Z, Y ) = Z }.
% 0.94/1.54 { ! class_Lattices_Osemilattice__inf( X ), !
% 0.94/1.54 c_Lattices_Osemilattice__inf__class_Oinf( X, Z, Y ) = Z,
% 0.94/1.54 c_Orderings_Oord__class_Oless__eq( X, Z, Y ) }.
% 0.94/1.54 { ! class_Lattices_Osemilattice__inf( X ),
% 0.94/1.54 c_Orderings_Oord__class_Oless__eq( X,
% 0.94/1.54 c_Lattices_Osemilattice__inf__class_Oinf( X, Z, Y ), Y ) }.
% 0.94/1.54 { ! class_Lattices_Olattice( X ), c_Orderings_Oord__class_Oless__eq( X,
% 0.94/1.54 c_Lattices_Osemilattice__inf__class_Oinf( X, Z, Y ), Y ) }.
% 0.94/1.54 { ! class_Lattices_Osemilattice__inf( X ),
% 0.94/1.54 c_Orderings_Oord__class_Oless__eq( X,
% 0.94/1.54 c_Lattices_Osemilattice__inf__class_Oinf( X, Z, Y ), Z ) }.
% 0.94/1.54 { ! class_Lattices_Olattice( X ), c_Orderings_Oord__class_Oless__eq( X,
% 0.94/1.54 c_Lattices_Osemilattice__inf__class_Oinf( X, Z, Y ), Z ) }.
% 0.94/1.54 { ! class_Lattices_Olattice( X ), c_Orderings_Oord__class_Oless__eq( X,
% 0.94/1.54 c_Lattices_Osemilattice__sup__class_Osup( X,
% 0.94/1.54 c_Lattices_Osemilattice__inf__class_Oinf( X, T, Z ),
% 0.94/1.54 c_Lattices_Osemilattice__inf__class_Oinf( X, T, Y ) ),
% 0.94/1.54 c_Lattices_Osemilattice__inf__class_Oinf( X, T,
% 0.94/1.54 c_Lattices_Osemilattice__sup__class_Osup( X, Z, Y ) ) ) }.
% 0.94/1.54 { ! class_Lattices_Olattice( X ), c_Orderings_Oord__class_Oless__eq( X,
% 0.94/1.54 c_Lattices_Osemilattice__sup__class_Osup( X, T,
% 0.94/1.54 c_Lattices_Osemilattice__inf__class_Oinf( X, Z, Y ) ),
% 0.94/1.54 c_Lattices_Osemilattice__inf__class_Oinf( X,
% 0.94/1.54 c_Lattices_Osemilattice__sup__class_Osup( X, T, Z ),
% 0.94/1.54 c_Lattices_Osemilattice__sup__class_Osup( X, T, Y ) ) ) }.
% 0.94/1.54 { ! c_member( Z, Y, X ), c_Lattices_Osemilattice__inf__class_Oinf( tc_fun(
% 0.94/1.54 Z, tc_HOL_Obool ), c_Set_Oinsert( Z, Y, T ), X ) = c_Set_Oinsert( Z, Y,
% 0.94/1.54 c_Lattices_Osemilattice__inf__class_Oinf( tc_fun( Z, tc_HOL_Obool ), T, X
% 0.94/1.54 ) ) }.
% 0.94/1.54 { ! c_member( Z, Y, X ), c_Lattices_Osemilattice__inf__class_Oinf( tc_fun(
% 0.94/1.54 Z, tc_HOL_Obool ), X, c_Set_Oinsert( Z, Y, T ) ) = c_Set_Oinsert( Z, Y,
% 0.94/1.54 c_Lattices_Osemilattice__inf__class_Oinf( tc_fun( Z, tc_HOL_Obool ), X, T
% 0.94/1.54 ) ) }.
% 0.94/1.54 { c_member( Z, Y, X ), c_Lattices_Osemilattice__inf__class_Oinf( tc_fun( Z
% 0.94/1.54 , tc_HOL_Obool ), c_Set_Oinsert( Z, Y, T ), X ) =
% 0.94/1.54 c_Lattices_Osemilattice__inf__class_Oinf( tc_fun( Z, tc_HOL_Obool ), T, X
% 0.94/1.54 ) }.
% 0.94/1.54 { c_member( Z, Y, X ), c_Lattices_Osemilattice__inf__class_Oinf( tc_fun( Z
% 0.94/1.54 , tc_HOL_Obool ), X, c_Set_Oinsert( Z, Y, T ) ) =
% 0.94/1.54 c_Lattices_Osemilattice__inf__class_Oinf( tc_fun( Z, tc_HOL_Obool ), X, T
% 0.94/1.54 ) }.
% 0.94/1.54 { ! c_member( T, Z, Y ), c_Lattices_Osemilattice__inf__class_Oinf( tc_fun(
% 0.94/1.54 T, tc_HOL_Obool ), c_Set_Oinsert( T, Z, X ), Y ) = c_Set_Oinsert( T, Z,
% 0.94/1.54 c_Lattices_Osemilattice__inf__class_Oinf( tc_fun( T, tc_HOL_Obool ), X, Y
% 0.94/1.54 ) ) }.
% 0.94/1.54 { c_member( T, Z, Y ), c_Lattices_Osemilattice__inf__class_Oinf( tc_fun( T
% 0.94/1.54 , tc_HOL_Obool ), c_Set_Oinsert( T, Z, X ), Y ) =
% 0.94/1.54 c_Lattices_Osemilattice__inf__class_Oinf( tc_fun( T, tc_HOL_Obool ), X, Y
% 0.94/1.54 ) }.
% 0.94/1.54 { ! c_member( T, Z, Y ), c_Lattices_Osemilattice__inf__class_Oinf( tc_fun(
% 0.94/1.54 T, tc_HOL_Obool ), Y, c_Set_Oinsert( T, Z, X ) ) = c_Set_Oinsert( T, Z,
% 0.94/1.54 c_Lattices_Osemilattice__inf__class_Oinf( tc_fun( T, tc_HOL_Obool ), Y, X
% 0.94/1.54 ) ) }.
% 0.94/1.54 { c_member( T, Z, Y ), c_Lattices_Osemilattice__inf__class_Oinf( tc_fun( T
% 0.94/1.54 , tc_HOL_Obool ), Y, c_Set_Oinsert( T, Z, X ) ) =
% 0.94/1.54 c_Lattices_Osemilattice__inf__class_Oinf( tc_fun( T, tc_HOL_Obool ), Y, X
% 0.94/1.54 ) }.
% 0.94/1.54 { ! c_member( Z, Y, X ), c_Groups_Ominus__class_Ominus( tc_fun( Z,
% 0.94/1.54 tc_HOL_Obool ), c_Set_Oinsert( Z, Y, T ), X ) =
% 0.94/1.54 c_Groups_Ominus__class_Ominus( tc_fun( Z, tc_HOL_Obool ), T, X ) }.
% 0.94/1.54 { ! c_member( T, Z, Y ), c_Groups_Ominus__class_Ominus( tc_fun( T,
% 0.94/1.54 tc_HOL_Obool ), c_Set_Oinsert( T, Z, X ), Y ) =
% 0.94/1.54 c_Groups_Ominus__class_Ominus( tc_fun( T, tc_HOL_Obool ), X, Y ) }.
% 0.94/1.54 { c_member( T, Z, Y ), c_Groups_Ominus__class_Ominus( tc_fun( T,
% 0.94/1.54 tc_HOL_Obool ), c_Set_Oinsert( T, Z, X ), Y ) = c_Set_Oinsert( T, Z,
% 0.94/1.54 c_Groups_Ominus__class_Ominus( tc_fun( T, tc_HOL_Obool ), X, Y ) ) }.
% 0.94/1.54 { c_Set_Oinsert( Z, Y, c_Groups_Ominus__class_Ominus( tc_fun( Z,
% 0.94/1.54 tc_HOL_Obool ), X, c_Set_Oinsert( Z, Y, c_Orderings_Obot__class_Obot(
% 0.94/1.54 tc_fun( Z, tc_HOL_Obool ) ) ) ) ) = c_Set_Oinsert( Z, Y, X ) }.
% 0.94/1.54 { c_Groups_Ominus__class_Ominus( tc_fun( T, tc_HOL_Obool ), Z,
% 0.94/1.54 c_Set_Oinsert( T, Y, X ) ) = c_Groups_Ominus__class_Ominus( tc_fun( T,
% 0.94/1.54 tc_HOL_Obool ), c_Groups_Ominus__class_Ominus( tc_fun( T, tc_HOL_Obool )
% 0.94/1.54 , Z, c_Set_Oinsert( T, Y, c_Orderings_Obot__class_Obot( tc_fun( T,
% 0.94/1.54 tc_HOL_Obool ) ) ) ), X ) }.
% 0.94/1.54 { c_Groups_Ominus__class_Ominus( tc_fun( T, tc_HOL_Obool ), Z,
% 0.94/1.54 c_Set_Oinsert( T, Y, X ) ) = c_Groups_Ominus__class_Ominus( tc_fun( T,
% 0.94/1.54 tc_HOL_Obool ), c_Groups_Ominus__class_Ominus( tc_fun( T, tc_HOL_Obool )
% 0.94/1.54 , Z, X ), c_Set_Oinsert( T, Y, c_Orderings_Obot__class_Obot( tc_fun( T,
% 0.94/1.54 tc_HOL_Obool ) ) ) ) }.
% 0.94/1.54 { c_Groups_Ominus__class_Ominus( tc_fun( Y, tc_HOL_Obool ), X,
% 0.94/1.54 c_Orderings_Otop__class_Otop( tc_fun( Y, tc_HOL_Obool ) ) ) =
% 0.94/1.54 c_Orderings_Obot__class_Obot( tc_fun( Y, tc_HOL_Obool ) ) }.
% 0.94/1.54 { ! class_Orderings_Olinorder( X ), ! c_Orderings_Oord__class_Oless__eq( X
% 0.94/1.54 , Z, Y ), c_Groups_Ominus__class_Ominus( tc_fun( X, tc_HOL_Obool ),
% 0.94/1.54 c_SetInterval_Oord__class_OatLeastLessThan( X, Z, T ),
% 0.94/1.54 c_SetInterval_Oord__class_OatLeastLessThan( X, Z, Y ) ) =
% 0.94/1.54 c_SetInterval_Oord__class_OatLeastLessThan( X, Y, T ) }.
% 0.94/1.54 { ! c_Lattices_Osemilattice__sup__class_Osup( tc_fun( T, tc_HOL_Obool ),
% 0.94/1.54 c_Lattices_Osemilattice__inf__class_Oinf( tc_fun( T, tc_HOL_Obool ), Z, Y
% 0.94/1.54 ), X ) = c_Lattices_Osemilattice__inf__class_Oinf( tc_fun( T,
% 0.94/1.54 tc_HOL_Obool ), Z, c_Lattices_Osemilattice__sup__class_Osup( tc_fun( T,
% 0.94/1.54 tc_HOL_Obool ), Y, X ) ), c_Orderings_Oord__class_Oless__eq( tc_fun( T,
% 0.94/1.54 tc_HOL_Obool ), X, Z ) }.
% 0.94/1.54 { ! c_Orderings_Oord__class_Oless__eq( tc_fun( T, tc_HOL_Obool ), X, Z ),
% 0.94/1.55 c_Lattices_Osemilattice__sup__class_Osup( tc_fun( T, tc_HOL_Obool ),
% 0.94/1.55 c_Lattices_Osemilattice__inf__class_Oinf( tc_fun( T, tc_HOL_Obool ), Z, Y
% 0.94/1.55 ), X ) = c_Lattices_Osemilattice__inf__class_Oinf( tc_fun( T,
% 0.94/1.55 tc_HOL_Obool ), Z, c_Lattices_Osemilattice__sup__class_Osup( tc_fun( T,
% 0.94/1.55 tc_HOL_Obool ), Y, X ) ) }.
% 0.94/1.55 { ! class_Orderings_Oorder( X ), c_Lattices_Osemilattice__inf__class_Oinf(
% 0.94/1.55 tc_fun( X, tc_HOL_Obool ), c_SetInterval_Oord__class_OatLeastLessThan( X
% 0.94/1.55 , T, Z ), c_SetInterval_Oord__class_OatLeastLessThan( X, Z, Y ) ) =
% 0.94/1.55 c_Orderings_Obot__class_Obot( tc_fun( X, tc_HOL_Obool ) ) }.
% 0.94/1.55 { ! c_Orderings_Oord__class_Oless__eq( tc_fun( Z, tc_HOL_Obool ), Y, X ),
% 0.94/1.55 c_Lattices_Osemilattice__sup__class_Osup( tc_fun( Z, tc_HOL_Obool ), Y,
% 0.94/1.55 c_Groups_Ominus__class_Ominus( tc_fun( Z, tc_HOL_Obool ), X, Y ) ) = X }
% 0.94/1.55 .
% 0.94/1.55 { ! c_Orderings_Oord__class_Oless__eq( tc_fun( T, tc_HOL_Obool ),
% 0.94/1.55 c_Groups_Ominus__class_Ominus( tc_fun( T, tc_HOL_Obool ), Z, Y ), X ),
% 0.94/1.55 c_Orderings_Oord__class_Oless__eq( tc_fun( T, tc_HOL_Obool ), Z,
% 0.94/1.55 c_Lattices_Osemilattice__sup__class_Osup( tc_fun( T, tc_HOL_Obool ), Y, X
% 0.94/1.55 ) ) }.
% 0.94/1.55 { ! c_Orderings_Oord__class_Oless__eq( tc_fun( T, tc_HOL_Obool ), Z,
% 0.94/1.55 c_Lattices_Osemilattice__sup__class_Osup( tc_fun( T, tc_HOL_Obool ), Y, X
% 0.94/1.55 ) ), c_Orderings_Oord__class_Oless__eq( tc_fun( T, tc_HOL_Obool ),
% 0.94/1.55 c_Groups_Ominus__class_Ominus( tc_fun( T, tc_HOL_Obool ), Z, Y ), X ) }.
% 0.94/1.55 { ! class_Orderings_Oorder( X ), c_Lattices_Osemilattice__inf__class_Oinf(
% 0.94/1.55 tc_fun( X, tc_HOL_Obool ), c_SetInterval_Oord__class_OgreaterThanAtMost(
% 0.94/1.55 X, T, Z ), c_SetInterval_Oord__class_OgreaterThanAtMost( X, Z, Y ) ) =
% 0.94/1.55 c_Orderings_Obot__class_Obot( tc_fun( X, tc_HOL_Obool ) ) }.
% 0.94/1.55 { ! c_member( Z, Y, X ), c_Set_Oinsert( Z, Y, c_Groups_Ominus__class_Ominus
% 0.94/1.55 ( tc_fun( Z, tc_HOL_Obool ), X, c_Set_Oinsert( Z, Y,
% 0.94/1.55 c_Orderings_Obot__class_Obot( tc_fun( Z, tc_HOL_Obool ) ) ) ) ) = X }.
% 0.94/1.55 { c_member( Z, Y, X ), c_Groups_Ominus__class_Ominus( tc_fun( Z,
% 0.94/1.55 tc_HOL_Obool ), c_Set_Oinsert( Z, Y, X ), c_Set_Oinsert( Z, Y,
% 0.94/1.55 c_Orderings_Obot__class_Obot( tc_fun( Z, tc_HOL_Obool ) ) ) ) = X }.
% 0.94/1.55 { ! class_Orderings_Oorder( X ), c_Lattices_Osemilattice__inf__class_Oinf(
% 0.94/1.55 tc_fun( X, tc_HOL_Obool ), c_SetInterval_Oord__class_OatLeastLessThan( X
% 0.94/1.55 , T, Z ), c_SetInterval_Oord__class_OatLeastAtMost( X, Z, Y ) ) =
% 0.94/1.55 c_Orderings_Obot__class_Obot( tc_fun( X, tc_HOL_Obool ) ) }.
% 0.94/1.55 { ! class_Orderings_Oorder( X ), c_Groups_Ominus__class_Ominus( tc_fun( X,
% 0.94/1.55 tc_HOL_Obool ), c_Set_Oinsert( X, Y, c_Orderings_Obot__class_Obot( tc_fun
% 0.94/1.55 ( X, tc_HOL_Obool ) ) ), c_SetInterval_Oord__class_OlessThan( X, Y ) ) =
% 0.94/1.55 c_Set_Oinsert( X, Y, c_Orderings_Obot__class_Obot( tc_fun( X,
% 0.94/1.55 tc_HOL_Obool ) ) ) }.
% 0.94/1.55 { ! class_Orderings_Oorder( X ), c_Lattices_Osemilattice__inf__class_Oinf(
% 0.94/1.55 tc_fun( X, tc_HOL_Obool ), c_SetInterval_Oord__class_OlessThan( X, Z ),
% 0.94/1.55 c_SetInterval_Oord__class_OatLeastLessThan( X, Z, Y ) ) =
% 0.94/1.55 c_Orderings_Obot__class_Obot( tc_fun( X, tc_HOL_Obool ) ) }.
% 0.94/1.55 { ! class_Orderings_Oorder( X ), c_Lattices_Osemilattice__inf__class_Oinf(
% 0.94/1.55 tc_fun( X, tc_HOL_Obool ), c_SetInterval_Oord__class_OlessThan( X, Z ),
% 0.94/1.55 c_SetInterval_Oord__class_OatLeastAtMost( X, Z, Y ) ) =
% 0.94/1.55 c_Orderings_Obot__class_Obot( tc_fun( X, tc_HOL_Obool ) ) }.
% 0.94/1.55 { ! class_Orderings_Oorder( X ), c_Lattices_Osemilattice__inf__class_Oinf(
% 0.94/1.55 tc_fun( X, tc_HOL_Obool ), c_SetInterval_Oord__class_OgreaterThanLessThan
% 0.94/1.55 ( X, T, Z ), c_SetInterval_Oord__class_OatLeastLessThan( X, Z, Y ) ) =
% 0.94/1.55 c_Orderings_Obot__class_Obot( tc_fun( X, tc_HOL_Obool ) ) }.
% 0.94/1.55 { ! class_Orderings_Oorder( X ), c_Lattices_Osemilattice__inf__class_Oinf(
% 0.94/1.55 tc_fun( X, tc_HOL_Obool ), c_SetInterval_Oord__class_OgreaterThanLessThan
% 0.94/1.55 ( X, T, Z ), c_SetInterval_Oord__class_OatLeastAtMost( X, Z, Y ) ) =
% 0.94/1.55 c_Orderings_Obot__class_Obot( tc_fun( X, tc_HOL_Obool ) ) }.
% 0.94/1.55 { ! class_Orderings_Oorder( X ), c_Lattices_Osemilattice__inf__class_Oinf(
% 0.94/1.55 tc_fun( X, tc_HOL_Obool ), c_SetInterval_Oord__class_OatLeastAtMost( X, T
% 0.94/1.55 , Z ), c_SetInterval_Oord__class_OgreaterThanLessThan( X, Z, Y ) ) =
% 0.94/1.55 c_Orderings_Obot__class_Obot( tc_fun( X, tc_HOL_Obool ) ) }.
% 0.94/1.55 { ! class_Orderings_Oorder( X ), c_Lattices_Osemilattice__inf__class_Oinf(
% 0.94/1.55 tc_fun( X, tc_HOL_Obool ), c_SetInterval_Oord__class_OatLeastAtMost( X, T
% 0.94/1.55 , Z ), c_SetInterval_Oord__class_OgreaterThanAtMost( X, Z, Y ) ) =
% 0.94/1.55 c_Orderings_Obot__class_Obot( tc_fun( X, tc_HOL_Obool ) ) }.
% 0.94/1.55 { ! class_Orderings_Oorder( X ), c_Lattices_Osemilattice__inf__class_Oinf(
% 0.94/1.55 tc_fun( X, tc_HOL_Obool ), c_SetInterval_Oord__class_OatLeastLessThan( X
% 0.94/1.55 , Z, Y ), c_SetInterval_Oord__class_OatLeast( X, Y ) ) =
% 0.94/1.55 c_Orderings_Obot__class_Obot( tc_fun( X, tc_HOL_Obool ) ) }.
% 0.94/1.55 { ! class_Orderings_Oorder( X ), c_Lattices_Osemilattice__inf__class_Oinf(
% 0.94/1.55 tc_fun( X, tc_HOL_Obool ), c_SetInterval_Oord__class_OatLeastAtMost( X, Z
% 0.94/1.55 , Y ), c_SetInterval_Oord__class_OgreaterThan( X, Y ) ) =
% 0.94/1.55 c_Orderings_Obot__class_Obot( tc_fun( X, tc_HOL_Obool ) ) }.
% 0.94/1.55 { ! class_Orderings_Oorder( X ), c_Lattices_Osemilattice__inf__class_Oinf(
% 0.94/1.55 tc_fun( X, tc_HOL_Obool ), c_SetInterval_Oord__class_OatMost( X, Z ),
% 0.94/1.55 c_SetInterval_Oord__class_OgreaterThanLessThan( X, Z, Y ) ) =
% 0.94/1.55 c_Orderings_Obot__class_Obot( tc_fun( X, tc_HOL_Obool ) ) }.
% 0.94/1.55 { ! class_Orderings_Oorder( X ), c_Lattices_Osemilattice__inf__class_Oinf(
% 0.94/1.55 tc_fun( X, tc_HOL_Obool ), c_SetInterval_Oord__class_OatMost( X, Z ),
% 0.94/1.55 c_SetInterval_Oord__class_OgreaterThanAtMost( X, Z, Y ) ) =
% 0.94/1.55 c_Orderings_Obot__class_Obot( tc_fun( X, tc_HOL_Obool ) ) }.
% 0.94/1.55 { ! class_Orderings_Oorder( X ), c_Lattices_Osemilattice__inf__class_Oinf(
% 0.94/1.55 tc_fun( X, tc_HOL_Obool ), c_SetInterval_Oord__class_OgreaterThanAtMost(
% 0.94/1.55 X, T, Z ), c_SetInterval_Oord__class_OgreaterThanLessThan( X, Z, Y ) ) =
% 0.94/1.55 c_Orderings_Obot__class_Obot( tc_fun( X, tc_HOL_Obool ) ) }.
% 0.94/1.55 { ! class_Orderings_Oorder( X ), c_Lattices_Osemilattice__inf__class_Oinf(
% 0.94/1.55 tc_fun( X, tc_HOL_Obool ), c_SetInterval_Oord__class_OgreaterThanLessThan
% 0.94/1.55 ( X, Z, Y ), c_SetInterval_Oord__class_OatLeast( X, Y ) ) =
% 0.94/1.55 c_Orderings_Obot__class_Obot( tc_fun( X, tc_HOL_Obool ) ) }.
% 0.94/1.55 { ! class_Orderings_Oorder( X ), c_Lattices_Osemilattice__inf__class_Oinf(
% 0.94/1.55 tc_fun( X, tc_HOL_Obool ), c_SetInterval_Oord__class_OgreaterThanAtMost(
% 0.94/1.55 X, Z, Y ), c_SetInterval_Oord__class_OgreaterThan( X, Y ) ) =
% 0.94/1.55 c_Orderings_Obot__class_Obot( tc_fun( X, tc_HOL_Obool ) ) }.
% 0.94/1.55 { ! class_Rings_Osemiring__1( X ), c_member( X, c_Groups_Ozero__class_Ozero
% 0.94/1.55 ( X ), c_Nat_Osemiring__1__class_ONats( X ) ) }.
% 0.94/1.55 { ! c_Orderings_Oord__class_Oless__eq( tc_fun( T, tc_HOL_Obool ), Z,
% 0.94/1.55 c_Set_Oinsert( T, Y, X ) ), alpha13( X, Y, Z, T ) }.
% 0.94/1.55 { ! c_Orderings_Oord__class_Oless__eq( tc_fun( T, tc_HOL_Obool ), Z,
% 0.94/1.55 c_Set_Oinsert( T, Y, X ) ), alpha26( X, Y, Z, T ) }.
% 0.94/1.55 { ! alpha13( X, Y, Z, T ), ! alpha26( X, Y, Z, T ),
% 0.94/1.55 c_Orderings_Oord__class_Oless__eq( tc_fun( T, tc_HOL_Obool ), Z,
% 0.94/1.55 c_Set_Oinsert( T, Y, X ) ) }.
% 0.94/1.55 { ! alpha26( X, Y, Z, T ), c_member( T, Y, Z ),
% 0.94/1.55 c_Orderings_Oord__class_Oless__eq( tc_fun( T, tc_HOL_Obool ), Z, X ) }.
% 0.94/1.55 { ! c_member( T, Y, Z ), alpha26( X, Y, Z, T ) }.
% 0.94/1.55 { ! c_Orderings_Oord__class_Oless__eq( tc_fun( T, tc_HOL_Obool ), Z, X ),
% 0.94/1.55 alpha26( X, Y, Z, T ) }.
% 0.94/1.55 { ! alpha13( X, Y, Z, T ), ! c_member( T, Y, Z ),
% 0.94/1.55 c_Orderings_Oord__class_Oless__eq( tc_fun( T, tc_HOL_Obool ),
% 0.94/1.55 c_Groups_Ominus__class_Ominus( tc_fun( T, tc_HOL_Obool ), Z,
% 0.94/1.55 c_Set_Oinsert( T, Y, c_Orderings_Obot__class_Obot( tc_fun( T,
% 0.94/1.55 tc_HOL_Obool ) ) ) ), X ) }.
% 0.94/1.55 { c_member( T, Y, Z ), alpha13( X, Y, Z, T ) }.
% 0.94/1.55 { ! c_Orderings_Oord__class_Oless__eq( tc_fun( T, tc_HOL_Obool ),
% 0.94/1.55 c_Groups_Ominus__class_Ominus( tc_fun( T, tc_HOL_Obool ), Z,
% 0.94/1.55 c_Set_Oinsert( T, Y, c_Orderings_Obot__class_Obot( tc_fun( T,
% 0.94/1.55 tc_HOL_Obool ) ) ) ), X ), alpha13( X, Y, Z, T ) }.
% 0.94/1.55 { ! class_Groups_Oordered__ab__group__add( X ), !
% 0.94/1.55 c_Orderings_Oord__class_Oless( X, Z, Y ), c_Orderings_Oord__class_Oless(
% 0.94/1.55 X, c_Groups_Ominus__class_Ominus( X, Z, Y ), c_Groups_Ozero__class_Ozero
% 0.94/1.55 ( X ) ) }.
% 0.94/1.55 { ! class_Groups_Oordered__ab__group__add( X ), !
% 0.94/1.55 c_Orderings_Oord__class_Oless( X, c_Groups_Ominus__class_Ominus( X, Z, Y
% 0.94/1.55 ), c_Groups_Ozero__class_Ozero( X ) ), c_Orderings_Oord__class_Oless( X
% 0.94/1.55 , Z, Y ) }.
% 0.94/1.55 { ! class_Groups_Oordered__ab__group__add( X ), !
% 0.94/1.55 c_Orderings_Oord__class_Oless__eq( X, Z, Y ),
% 0.94/1.55 c_Orderings_Oord__class_Oless__eq( X, c_Groups_Ominus__class_Ominus( X, Z
% 0.94/1.55 , Y ), c_Groups_Ozero__class_Ozero( X ) ) }.
% 0.94/1.55 { ! class_Groups_Oordered__ab__group__add( X ), !
% 0.94/1.55 c_Orderings_Oord__class_Oless__eq( X, c_Groups_Ominus__class_Ominus( X, Z
% 0.94/1.55 , Y ), c_Groups_Ozero__class_Ozero( X ) ),
% 0.94/1.55 c_Orderings_Oord__class_Oless__eq( X, Z, Y ) }.
% 0.94/1.55 { ! class_Groups_Oordered__ab__group__add( X ), !
% 0.94/1.55 c_Groups_Ominus__class_Ominus( X, U, T ) = c_Groups_Ominus__class_Ominus
% 0.94/1.55 ( X, Z, Y ), ! c_Orderings_Oord__class_Oless( X, U, T ),
% 0.94/1.55 c_Orderings_Oord__class_Oless( X, Z, Y ) }.
% 0.94/1.55 { ! class_Groups_Oordered__ab__group__add( X ), !
% 0.94/1.55 c_Groups_Ominus__class_Ominus( X, U, T ) = c_Groups_Ominus__class_Ominus
% 0.94/1.55 ( X, Z, Y ), ! c_Orderings_Oord__class_Oless( X, Z, Y ),
% 0.94/1.55 c_Orderings_Oord__class_Oless( X, U, T ) }.
% 0.94/1.55 { ! class_Groups_Oordered__ab__group__add( X ), !
% 0.94/1.55 c_Groups_Ominus__class_Ominus( X, U, T ) = c_Groups_Ominus__class_Ominus
% 0.94/1.55 ( X, Z, Y ), ! c_Orderings_Oord__class_Oless__eq( X, U, T ),
% 0.94/1.55 c_Orderings_Oord__class_Oless__eq( X, Z, Y ) }.
% 0.94/1.55 { ! class_Groups_Oordered__ab__group__add( X ), !
% 0.94/1.55 c_Groups_Ominus__class_Ominus( X, U, T ) = c_Groups_Ominus__class_Ominus
% 0.94/1.55 ( X, Z, Y ), ! c_Orderings_Oord__class_Oless__eq( X, Z, Y ),
% 0.94/1.55 c_Orderings_Oord__class_Oless__eq( X, U, T ) }.
% 0.94/1.55 { ! class_Groups_Ogroup__add( X ), ! c_Groups_Ominus__class_Ominus( X, Z, Y
% 0.94/1.55 ) = c_Groups_Ozero__class_Ozero( X ), Z = Y }.
% 0.94/1.55 { ! class_Groups_Ogroup__add( X ), ! Z = Y, c_Groups_Ominus__class_Ominus(
% 0.94/1.55 X, Z, Y ) = c_Groups_Ozero__class_Ozero( X ) }.
% 0.94/1.55 { ! c_Groups_Ominus__class_Ominus( tc_Nat_Onat, Y, X ) =
% 0.94/1.55 c_Groups_Ozero__class_Ozero( tc_Nat_Onat ), !
% 0.94/1.55 c_Groups_Ominus__class_Ominus( tc_Nat_Onat, X, Y ) =
% 0.94/1.55 c_Groups_Ozero__class_Ozero( tc_Nat_Onat ), Y = X }.
% 0.94/1.55 { c_Groups_Ominus__class_Ominus( tc_Nat_Onat, X, X ) =
% 0.94/1.55 c_Groups_Ozero__class_Ozero( tc_Nat_Onat ) }.
% 0.94/1.55 { c_Groups_Ominus__class_Ominus( tc_Nat_Onat, X,
% 0.94/1.55 c_Groups_Ozero__class_Ozero( tc_Nat_Onat ) ) = X }.
% 0.94/1.55 { c_Groups_Ominus__class_Ominus( tc_Nat_Onat, c_Groups_Ozero__class_Ozero(
% 0.94/1.55 tc_Nat_Onat ), X ) = c_Groups_Ozero__class_Ozero( tc_Nat_Onat ) }.
% 0.94/1.55 { ! c_Orderings_Oord__class_Oless( tc_Nat_Onat, Y, X ),
% 0.94/1.55 c_Orderings_Oord__class_Oless( tc_Nat_Onat, c_Groups_Ominus__class_Ominus
% 0.94/1.55 ( tc_Nat_Onat, Y, Z ), X ) }.
% 0.94/1.55 { ! c_Orderings_Oord__class_Oless( tc_Nat_Onat, Y, X ), !
% 0.94/1.55 c_Orderings_Oord__class_Oless( tc_Nat_Onat, Y, Z ),
% 0.94/1.55 c_Orderings_Oord__class_Oless( tc_Nat_Onat, c_Groups_Ominus__class_Ominus
% 0.94/1.55 ( tc_Nat_Onat, Z, X ), c_Groups_Ominus__class_Ominus( tc_Nat_Onat, Z, Y )
% 0.94/1.55 ) }.
% 0.94/1.55 { c_Orderings_Oord__class_Oless__eq( tc_Nat_Onat,
% 0.94/1.55 c_Groups_Ominus__class_Ominus( tc_Nat_Onat, Y, X ), Y ) }.
% 0.94/1.55 { ! c_Orderings_Oord__class_Oless__eq( tc_Nat_Onat, Y, X ),
% 0.94/1.55 c_Orderings_Oord__class_Oless__eq( tc_Nat_Onat,
% 0.94/1.55 c_Groups_Ominus__class_Ominus( tc_Nat_Onat, Z, X ),
% 0.94/1.55 c_Groups_Ominus__class_Ominus( tc_Nat_Onat, Z, Y ) ) }.
% 0.94/1.55 { ! c_Orderings_Oord__class_Oless__eq( tc_Nat_Onat, Y, X ),
% 0.94/1.55 c_Orderings_Oord__class_Oless__eq( tc_Nat_Onat,
% 0.94/1.55 c_Groups_Ominus__class_Ominus( tc_Nat_Onat, Y, Z ),
% 0.94/1.55 c_Groups_Ominus__class_Ominus( tc_Nat_Onat, X, Z ) ) }.
% 0.94/1.55 { ! c_Orderings_Oord__class_Oless__eq( tc_Nat_Onat, Y, X ),
% 0.94/1.55 c_Groups_Ominus__class_Ominus( tc_Nat_Onat, X,
% 0.94/1.55 c_Groups_Ominus__class_Ominus( tc_Nat_Onat, X, Y ) ) = Y }.
% 0.94/1.55 { ! c_Orderings_Oord__class_Oless__eq( tc_Nat_Onat, Y, X ), !
% 0.94/1.55 c_Orderings_Oord__class_Oless__eq( tc_Nat_Onat, Y, Z ), !
% 0.94/1.55 c_Groups_Ominus__class_Ominus( tc_Nat_Onat, X, Y ) =
% 0.94/1.55 c_Groups_Ominus__class_Ominus( tc_Nat_Onat, Z, Y ), X = Z }.
% 0.94/1.55 { ! c_Orderings_Oord__class_Oless__eq( tc_Nat_Onat, Y, X ), !
% 0.94/1.55 c_Orderings_Oord__class_Oless__eq( tc_Nat_Onat, Y, Z ), ! X = Z,
% 0.94/1.55 c_Groups_Ominus__class_Ominus( tc_Nat_Onat, X, Y ) =
% 0.94/1.55 c_Groups_Ominus__class_Ominus( tc_Nat_Onat, Z, Y ) }.
% 0.94/1.55 { ! c_Orderings_Oord__class_Oless__eq( tc_Nat_Onat, Y, X ), !
% 0.94/1.55 c_Orderings_Oord__class_Oless__eq( tc_Nat_Onat, Y, Z ),
% 0.94/1.55 c_Groups_Ominus__class_Ominus( tc_Nat_Onat, c_Groups_Ominus__class_Ominus
% 0.94/1.55 ( tc_Nat_Onat, X, Y ), c_Groups_Ominus__class_Ominus( tc_Nat_Onat, Z, Y )
% 0.94/1.55 ) = c_Groups_Ominus__class_Ominus( tc_Nat_Onat, X, Z ) }.
% 0.94/1.55 { ! c_Orderings_Oord__class_Oless__eq( tc_Nat_Onat, Y, X ), !
% 0.94/1.55 c_Orderings_Oord__class_Oless__eq( tc_Nat_Onat, Y, Z ), !
% 0.94/1.55 c_Orderings_Oord__class_Oless__eq( tc_Nat_Onat,
% 0.94/1.55 c_Groups_Ominus__class_Ominus( tc_Nat_Onat, X, Y ),
% 0.94/1.55 c_Groups_Ominus__class_Ominus( tc_Nat_Onat, Z, Y ) ),
% 0.94/1.55 c_Orderings_Oord__class_Oless__eq( tc_Nat_Onat, X, Z ) }.
% 0.94/1.55 { ! c_Orderings_Oord__class_Oless__eq( tc_Nat_Onat, Y, X ), !
% 0.94/1.55 c_Orderings_Oord__class_Oless__eq( tc_Nat_Onat, Y, Z ), !
% 0.94/1.55 c_Orderings_Oord__class_Oless__eq( tc_Nat_Onat, X, Z ),
% 0.94/1.55 c_Orderings_Oord__class_Oless__eq( tc_Nat_Onat,
% 0.94/1.55 c_Groups_Ominus__class_Ominus( tc_Nat_Onat, X, Y ),
% 0.94/1.55 c_Groups_Ominus__class_Ominus( tc_Nat_Onat, Z, Y ) ) }.
% 0.94/1.55 { ! c_Orderings_Oord__class_Oless__eq( tc_Nat_Onat, Y, X ), c_RealDef_Oreal
% 0.94/1.55 ( tc_Nat_Onat, c_Groups_Ominus__class_Ominus( tc_Nat_Onat, X, Y ) ) =
% 0.94/1.55 c_Groups_Ominus__class_Ominus( tc_RealDef_Oreal, c_RealDef_Oreal(
% 0.94/1.55 tc_Nat_Onat, X ), c_RealDef_Oreal( tc_Nat_Onat, Y ) ) }.
% 0.94/1.55 { ! c_Orderings_Oord__class_Oless__eq( tc_RealDef_Oreal, c_RealDef_Oreal(
% 0.94/1.55 tc_Nat_Onat, Y ), X ), c_RComplete_Onatfloor(
% 0.94/1.55 c_Groups_Ominus__class_Ominus( tc_RealDef_Oreal, X, c_RealDef_Oreal(
% 0.94/1.55 tc_Nat_Onat, Y ) ) ) = c_Groups_Ominus__class_Ominus( tc_Nat_Onat,
% 0.94/1.55 c_RComplete_Onatfloor( X ), Y ) }.
% 0.94/1.55 { ! c_Orderings_Oord__class_Oless__eq( tc_RealDef_Oreal, c_RealDef_Oreal(
% 0.94/1.55 tc_Nat_Onat, Y ), X ), c_RComplete_Onatceiling(
% 0.94/1.55 c_Groups_Ominus__class_Ominus( tc_RealDef_Oreal, X, c_RealDef_Oreal(
% 0.94/1.55 tc_Nat_Onat, Y ) ) ) = c_Groups_Ominus__class_Ominus( tc_Nat_Onat,
% 0.94/1.55 c_RComplete_Onatceiling( X ), Y ) }.
% 0.94/1.55 { ! c_Orderings_Oord__class_Oless__eq( tc_RealDef_Oreal, Y, X ),
% 0.94/1.55 c_Orderings_Oord__class_Oless__eq( tc_RealDef_Oreal,
% 0.94/1.55 c_Groups_Ominus__class_Ominus( tc_RealDef_Oreal, Y, X ),
% 0.94/1.55 c_Groups_Ozero__class_Ozero( tc_RealDef_Oreal ) ) }.
% 0.94/1.55 { ! c_Orderings_Oord__class_Oless__eq( tc_RealDef_Oreal,
% 0.94/1.55 c_Groups_Ominus__class_Ominus( tc_RealDef_Oreal, Y, X ),
% 0.94/1.55 c_Groups_Ozero__class_Ozero( tc_RealDef_Oreal ) ),
% 0.94/1.55 c_Orderings_Oord__class_Oless__eq( tc_RealDef_Oreal, Y, X ) }.
% 0.94/1.55 { ! c_Orderings_Oord__class_Oless( tc_Nat_Onat, c_Groups_Ozero__class_Ozero
% 0.94/1.55 ( tc_Nat_Onat ), X ), ! c_Orderings_Oord__class_Oless( tc_Nat_Onat,
% 0.94/1.55 c_Groups_Ozero__class_Ozero( tc_Nat_Onat ), Y ),
% 0.94/1.55 c_Orderings_Oord__class_Oless( tc_Nat_Onat, c_Groups_Ominus__class_Ominus
% 0.94/1.55 ( tc_Nat_Onat, Y, X ), Y ) }.
% 0.94/1.55 { ! c_Orderings_Oord__class_Oless( tc_Nat_Onat, c_Groups_Ozero__class_Ozero
% 0.94/1.55 ( tc_Nat_Onat ), c_Groups_Ominus__class_Ominus( tc_Nat_Onat, Y, X ) ),
% 0.94/1.55 c_Orderings_Oord__class_Oless( tc_Nat_Onat, X, Y ) }.
% 0.94/1.55 { ! c_Orderings_Oord__class_Oless( tc_Nat_Onat, X, Y ),
% 0.94/1.55 c_Orderings_Oord__class_Oless( tc_Nat_Onat, c_Groups_Ozero__class_Ozero(
% 0.94/1.55 tc_Nat_Onat ), c_Groups_Ominus__class_Ominus( tc_Nat_Onat, Y, X ) ) }.
% 0.94/1.55 { ! c_Orderings_Oord__class_Oless__eq( tc_Nat_Onat, Y, X ),
% 0.94/1.55 c_Groups_Ominus__class_Ominus( tc_Nat_Onat, Y, X ) =
% 0.94/1.55 c_Groups_Ozero__class_Ozero( tc_Nat_Onat ) }.
% 0.94/1.55 { ! c_Groups_Ominus__class_Ominus( tc_Nat_Onat, Y, X ) =
% 0.94/1.55 c_Groups_Ozero__class_Ozero( tc_Nat_Onat ),
% 0.94/1.55 c_Orderings_Oord__class_Oless__eq( tc_Nat_Onat, Y, X ) }.
% 0.94/1.55 { ! c_Orderings_Oord__class_Oless__eq( tc_Nat_Onat, Y, X ),
% 0.94/1.55 c_Groups_Ominus__class_Ominus( tc_Nat_Onat, Y, X ) =
% 0.94/1.55 c_Groups_Ozero__class_Ozero( tc_Nat_Onat ) }.
% 0.94/1.55 { ! c_Orderings_Oord__class_Oless( tc_Nat_Onat, Y, X ), !
% 0.94/1.55 c_Orderings_Oord__class_Oless__eq( tc_Nat_Onat, Z, Y ),
% 0.94/1.55 c_Orderings_Oord__class_Oless( tc_Nat_Onat, c_Groups_Ominus__class_Ominus
% 0.94/1.55 ( tc_Nat_Onat, Y, Z ), c_Groups_Ominus__class_Ominus( tc_Nat_Onat, X, Z )
% 0.94/1.55 ) }.
% 0.94/1.55 { ! c_Orderings_Oord__class_Oless__eq( tc_Nat_Onat, Y, X ), !
% 0.94/1.55 c_Orderings_Oord__class_Oless__eq( tc_Nat_Onat, Y, Z ), !
% 0.94/1.55 c_Orderings_Oord__class_Oless( tc_Nat_Onat, c_Groups_Ominus__class_Ominus
% 0.94/1.55 ( tc_Nat_Onat, X, Y ), c_Groups_Ominus__class_Ominus( tc_Nat_Onat, Z, Y )
% 0.94/1.55 ), c_Orderings_Oord__class_Oless( tc_Nat_Onat, X, Z ) }.
% 0.94/1.55 { ! c_Orderings_Oord__class_Oless__eq( tc_Nat_Onat, Y, X ), !
% 0.94/1.55 c_Orderings_Oord__class_Oless__eq( tc_Nat_Onat, Y, Z ), !
% 0.94/1.55 c_Orderings_Oord__class_Oless( tc_Nat_Onat, X, Z ),
% 0.94/1.55 c_Orderings_Oord__class_Oless( tc_Nat_Onat, c_Groups_Ominus__class_Ominus
% 0.94/1.55 ( tc_Nat_Onat, X, Y ), c_Groups_Ominus__class_Ominus( tc_Nat_Onat, Z, Y )
% 0.94/1.55 ) }.
% 0.94/1.55 { ! class_Groups_Ozero( X ), ! c_Groups_Ozero__class_Ozero( X ) = Y, Y =
% 0.94/1.55 c_Groups_Ozero__class_Ozero( X ) }.
% 0.94/1.55 { ! class_Groups_Ozero( X ), ! Y = c_Groups_Ozero__class_Ozero( X ),
% 0.94/1.55 c_Groups_Ozero__class_Ozero( X ) = Y }.
% 0.94/1.55 { ! class_Groups_Oab__group__add( X ), ! c_Groups_Ominus__class_Ominus( X,
% 0.94/1.55 U, T ) = c_Groups_Ominus__class_Ominus( X, Z, Y ), ! U = T, Z = Y }.
% 0.94/1.55 { ! class_Groups_Oab__group__add( X ), ! c_Groups_Ominus__class_Ominus( X,
% 0.94/1.55 U, T ) = c_Groups_Ominus__class_Ominus( X, Z, Y ), ! Z = Y, U = T }.
% 0.94/1.55 { ! class_Groups_Ogroup__add( X ), c_Groups_Ominus__class_Ominus( X, Y,
% 0.94/1.55 c_Groups_Ozero__class_Ozero( X ) ) = Y }.
% 0.94/1.55 { ! class_Groups_Ogroup__add( X ), c_Groups_Ominus__class_Ominus( X, Y, Y )
% 0.94/1.55 = c_Groups_Ozero__class_Ozero( X ) }.
% 0.94/1.55 { ! class_Groups_Oab__group__add( X ), ! Z = Y,
% 0.94/1.55 c_Groups_Ominus__class_Ominus( X, Z, Y ) = c_Groups_Ozero__class_Ozero( X
% 0.94/1.55 ) }.
% 0.94/1.55 { ! class_Groups_Oab__group__add( X ), ! c_Groups_Ominus__class_Ominus( X,
% 0.94/1.55 Z, Y ) = c_Groups_Ozero__class_Ozero( X ), Z = Y }.
% 0.94/1.55 { ! c_Orderings_Oord__class_Oless__eq( tc_fun( Z, tc_HOL_Obool ), Y, X ),
% 0.94/1.55 hBOOL( hAPP( U, skol63( W, V0, V1, U ) ) ),
% 0.94/1.55 c_Orderings_Oord__class_Oless__eq( tc_fun( Z, tc_HOL_Obool ),
% 0.94/1.55 c_Lattices_Osemilattice__inf__class_Oinf( tc_fun( Z, tc_HOL_Obool ), Y,
% 0.94/1.55 c_Set_OCollect( Z, U ) ), c_Lattices_Osemilattice__inf__class_Oinf(
% 0.94/1.55 tc_fun( Z, tc_HOL_Obool ), X, c_Set_OCollect( Z, T ) ) ) }.
% 0.94/1.55 { ! c_Orderings_Oord__class_Oless__eq( tc_fun( Z, tc_HOL_Obool ), Y, X ), !
% 0.94/1.55 hBOOL( hAPP( T, skol63( W, V0, T, U ) ) ),
% 0.94/1.55 c_Orderings_Oord__class_Oless__eq( tc_fun( Z, tc_HOL_Obool ),
% 0.94/1.55 c_Lattices_Osemilattice__inf__class_Oinf( tc_fun( Z, tc_HOL_Obool ), Y,
% 0.94/1.55 c_Set_OCollect( Z, U ) ), c_Lattices_Osemilattice__inf__class_Oinf(
% 0.94/1.55 tc_fun( Z, tc_HOL_Obool ), X, c_Set_OCollect( Z, T ) ) ) }.
% 0.94/1.55 { ! c_Orderings_Oord__class_Oless__eq( tc_fun( Z, tc_HOL_Obool ), Y, X ),
% 0.94/1.55 c_member( Z, skol63( Y, Z, T, U ), Y ), c_Orderings_Oord__class_Oless__eq
% 0.94/1.55 ( tc_fun( Z, tc_HOL_Obool ), c_Lattices_Osemilattice__inf__class_Oinf(
% 0.94/1.55 tc_fun( Z, tc_HOL_Obool ), Y, c_Set_OCollect( Z, U ) ),
% 0.94/1.55 c_Lattices_Osemilattice__inf__class_Oinf( tc_fun( Z, tc_HOL_Obool ), X,
% 0.94/1.55 c_Set_OCollect( Z, T ) ) ) }.
% 0.94/1.55 { ! c_member( Z, Y, X ), ! c_Nitpick_Ofold__graph_H( Z, V0, W, U,
% 0.94/1.55 c_Groups_Ominus__class_Ominus( tc_fun( Z, tc_HOL_Obool ), X,
% 0.94/1.55 c_Set_Oinsert( Z, Y, c_Orderings_Obot__class_Obot( tc_fun( Z,
% 0.94/1.55 tc_HOL_Obool ) ) ) ), T ), c_Nitpick_Ofold__graph_H( Z, V0, W, U, X, hAPP
% 0.94/1.55 ( hAPP( W, Y ), T ) ) }.
% 0.94/1.55 { ! class_Groups_Ozero( X ), !
% 0.94/1.55 c_Fundamental__Theorem__Algebra__Mirabelle_Opsize( X, Y ) =
% 0.94/1.55 c_Groups_Ozero__class_Ozero( tc_Nat_Onat ), Y =
% 0.94/1.55 c_Groups_Ozero__class_Ozero( tc_Polynomial_Opoly( X ) ) }.
% 0.94/1.55 { ! class_Groups_Ozero( X ), ! Y = c_Groups_Ozero__class_Ozero(
% 0.94/1.55 tc_Polynomial_Opoly( X ) ),
% 0.94/1.55 c_Fundamental__Theorem__Algebra__Mirabelle_Opsize( X, Y ) =
% 0.94/1.55 c_Groups_Ozero__class_Ozero( tc_Nat_Onat ) }.
% 0.94/1.55 { c_Groups_Ominus__class_Ominus( tc_Nat_Onat, c_Groups_Ominus__class_Ominus
% 0.94/1.55 ( tc_Nat_Onat, Z, Y ), X ) = c_Groups_Ominus__class_Ominus( tc_Nat_Onat,
% 0.94/1.55 c_Groups_Ominus__class_Ominus( tc_Nat_Onat, Z, X ), Y ) }.
% 0.94/1.55 { c_Nitpick_Ofold__graph_H( T, Z, Y, X, c_Orderings_Obot__class_Obot(
% 0.94/1.55 tc_fun( T, tc_HOL_Obool ) ), X ) }.
% 0.94/1.55 { c_Nitpick_Ofold__graph_H( T, Z, Y, X, c_Orderings_Obot__class_Obot(
% 0.94/1.55 tc_fun( T, tc_HOL_Obool ) ), X ) }.
% 0.94/1.55 { ! c_Nitpick_Ofold__graph_H( V0, W, U, T, Z, hAPP( hAPP( U, Y ), X ) ),
% 0.94/1.55 alpha14( X, Y, Z, T, U, V0 ), alpha27( X, Y, Z, T, U, W, V0 ) }.
% 0.94/1.55 { ! alpha14( X, Y, Z, T, U, V0 ), c_Nitpick_Ofold__graph_H( V0, W, U, T, Z
% 0.94/1.55 , hAPP( hAPP( U, Y ), X ) ) }.
% 0.94/1.55 { ! alpha27( X, Y, Z, T, U, W, V0 ), c_Nitpick_Ofold__graph_H( V0, W, U, T
% 0.94/1.55 , Z, hAPP( hAPP( U, Y ), X ) ) }.
% 0.94/1.55 { ! alpha27( X, Y, Z, T, U, W, V0 ), hAPP( hAPP( U, Y ), X ) = hAPP( hAPP(
% 0.94/1.55 U, skol64( X, Y, Z, T, U, W, V0 ) ), skol97( X, Y, Z, T, U, W, V0 ) ) }.
% 0.94/1.55 { ! alpha27( X, Y, Z, T, U, W, V0 ), alpha36( Z, T, U, W, V0, skol64( X, Y
% 0.94/1.55 , Z, T, U, W, V0 ), skol97( X, Y, Z, T, U, W, V0 ) ) }.
% 0.94/1.55 { ! hAPP( hAPP( U, Y ), X ) = hAPP( hAPP( U, V1 ), V2 ), ! alpha36( Z, T, U
% 0.94/1.55 , W, V0, V1, V2 ), alpha27( X, Y, Z, T, U, W, V0 ) }.
% 0.94/1.55 { ! alpha36( X, Y, Z, T, U, W, V0 ), c_member( U, W, X ) }.
% 0.94/1.55 { ! alpha36( X, Y, Z, T, U, W, V0 ), c_Nitpick_Ofold__graph_H( U, T, Z, Y,
% 0.94/1.55 c_Groups_Ominus__class_Ominus( tc_fun( U, tc_HOL_Obool ), X,
% 0.94/1.55 c_Set_Oinsert( U, W, c_Orderings_Obot__class_Obot( tc_fun( U,
% 0.94/1.55 tc_HOL_Obool ) ) ) ), V0 ) }.
% 0.94/1.55 { ! c_member( U, W, X ), ! c_Nitpick_Ofold__graph_H( U, T, Z, Y,
% 0.94/1.55 c_Groups_Ominus__class_Ominus( tc_fun( U, tc_HOL_Obool ), X,
% 0.94/1.55 c_Set_Oinsert( U, W, c_Orderings_Obot__class_Obot( tc_fun( U,
% 0.94/1.55 tc_HOL_Obool ) ) ) ), V0 ), alpha36( X, Y, Z, T, U, W, V0 ) }.
% 0.94/1.55 { ! alpha14( X, Y, Z, T, U, W ), Z = c_Orderings_Obot__class_Obot( tc_fun(
% 0.94/1.55 W, tc_HOL_Obool ) ) }.
% 0.94/1.55 { ! alpha14( X, Y, Z, T, U, W ), hAPP( hAPP( U, Y ), X ) = T }.
% 0.94/1.55 { ! Z = c_Orderings_Obot__class_Obot( tc_fun( W, tc_HOL_Obool ) ), ! hAPP(
% 0.94/1.55 hAPP( U, Y ), X ) = T, alpha14( X, Y, Z, T, U, W ) }.
% 0.94/1.55 { c_Orderings_Oord__class_Oless( tc_RealDef_Oreal,
% 0.94/1.55 c_Groups_Ominus__class_Ominus( tc_RealDef_Oreal, X,
% 0.94/1.55 c_Groups_Oone__class_Oone( tc_RealDef_Oreal ) ), c_RealDef_Oreal(
% 0.94/1.55 tc_Nat_Onat, c_RComplete_Onatfloor( X ) ) ) }.
% 0.94/1.55 { ! c_Orderings_Oord__class_Oless__eq( tc_Nat_Onat, Y, X ),
% 0.94/1.55 c_SetInterval_Oord__class_OatLeastLessThan( tc_Nat_Onat, Y, c_Nat_OSuc( X
% 0.94/1.55 ) ) = c_Set_Oinsert( tc_Nat_Onat, X,
% 0.94/1.55 c_SetInterval_Oord__class_OatLeastLessThan( tc_Nat_Onat, Y, X ) ) }.
% 0.94/1.55 { c_Orderings_Oord__class_Oless__eq( tc_Nat_Onat, Y, X ),
% 0.94/1.55 c_SetInterval_Oord__class_OatLeastLessThan( tc_Nat_Onat, Y, c_Nat_OSuc( X
% 0.94/1.55 ) ) = c_Orderings_Obot__class_Obot( tc_fun( tc_Nat_Onat, tc_HOL_Obool )
% 0.94/1.55 ) }.
% 0.94/1.55 { ! c_Orderings_Oord__class_Oless( tc_Nat_Onat, Y, X ),
% 0.94/1.55 c_Orderings_Oord__class_Oless( tc_Nat_Onat, c_Nat_OSuc( Y ), c_Nat_OSuc(
% 0.94/1.55 X ) ) }.
% 0.94/1.55 { c_Orderings_Oord__class_Oless( tc_Nat_Onat, X, c_Nat_OSuc( X ) ) }.
% 0.94/1.55 { c_Orderings_Oord__class_Oless( tc_Nat_Onat, c_Groups_Ozero__class_Ozero(
% 0.94/1.55 tc_Nat_Onat ), c_Nat_OSuc( X ) ) }.
% 0.94/1.55 { c_Groups_Ominus__class_Ominus( tc_Nat_Onat, c_Nat_OSuc( Y ), c_Nat_OSuc(
% 0.94/1.55 X ) ) = c_Groups_Ominus__class_Ominus( tc_Nat_Onat, Y, X ) }.
% 0.94/1.55 { c_Groups_Ominus__class_Ominus( tc_Nat_Onat, c_Groups_Ominus__class_Ominus
% 0.94/1.55 ( tc_Nat_Onat, c_Nat_OSuc( Z ), Y ), c_Nat_OSuc( X ) ) =
% 0.94/1.55 c_Groups_Ominus__class_Ominus( tc_Nat_Onat, c_Groups_Ominus__class_Ominus
% 0.94/1.55 ( tc_Nat_Onat, Z, Y ), X ) }.
% 0.94/1.55 { ! c_Groups_Ozero__class_Ozero( tc_RealDef_Oreal ) =
% 0.94/1.55 c_Groups_Oone__class_Oone( tc_RealDef_Oreal ) }.
% 0.94/1.55 { c_RealDef_Oreal( tc_Nat_Onat, c_Nat_OSuc( c_Groups_Ozero__class_Ozero(
% 0.94/1.55 tc_Nat_Onat ) ) ) = c_Groups_Oone__class_Oone( tc_RealDef_Oreal ) }.
% 0.94/1.55 { ! c_Groups_Ozero__class_Ozero( tc_Nat_Onat ) = c_Nat_OSuc( X ) }.
% 0.94/1.55 { ! c_Groups_Ozero__class_Ozero( tc_Nat_Onat ) = c_Nat_OSuc( X ) }.
% 0.94/1.55 { ! c_Nat_OSuc( X ) = c_Groups_Ozero__class_Ozero( tc_Nat_Onat ) }.
% 0.94/1.55 { ! c_Nat_OSuc( X ) = c_Groups_Ozero__class_Ozero( tc_Nat_Onat ) }.
% 0.94/1.55 { ! c_Groups_Ozero__class_Ozero( tc_Nat_Onat ) = c_Nat_OSuc( X ) }.
% 0.94/1.55 { ! c_Nat_OSuc( X ) = c_Groups_Ozero__class_Ozero( tc_Nat_Onat ) }.
% 0.94/1.55 { ! class_Rings_Ozero__neq__one( X ), ! c_Groups_Oone__class_Oone( X ) =
% 0.94/1.55 c_Groups_Ozero__class_Ozero( X ) }.
% 0.94/1.55 { ! class_Rings_Ozero__neq__one( X ), ! c_Groups_Ozero__class_Ozero( X ) =
% 0.94/1.55 c_Groups_Oone__class_Oone( X ) }.
% 0.94/1.55 { c_SetInterval_Oord__class_OatLeast( tc_Nat_Onat, c_Nat_OSuc( X ) ) =
% 0.94/1.55 c_SetInterval_Oord__class_OgreaterThan( tc_Nat_Onat, X ) }.
% 0.94/1.55 { c_SetInterval_Oord__class_OatLeastLessThan( tc_Nat_Onat, c_Nat_OSuc( Y )
% 0.94/1.55 , X ) = c_SetInterval_Oord__class_OgreaterThanLessThan( tc_Nat_Onat, Y, X
% 0.94/1.55 ) }.
% 0.94/1.55 { ! c_Nat_OSuc( Y ) = c_Nat_OSuc( X ), Y = X }.
% 0.94/1.55 { ! c_Nat_OSuc( Y ) = c_Nat_OSuc( X ), Y = X }.
% 0.94/1.55 { ! Y = X, c_Nat_OSuc( Y ) = c_Nat_OSuc( X ) }.
% 0.94/1.55 { ! c_Nat_OSuc( X ) = X }.
% 0.94/1.55 { ! X = c_Nat_OSuc( X ) }.
% 0.94/1.55 { ! c_Orderings_Oord__class_Oless__eq( tc_Nat_Onat, c_Nat_OSuc( Y ), X ),
% 0.94/1.55 c_Orderings_Oord__class_Oless__eq( tc_Nat_Onat, Y, X ) }.
% 0.94/1.55 { ! c_Orderings_Oord__class_Oless__eq( tc_Nat_Onat, Y, c_Nat_OSuc( X ) ),
% 0.94/1.55 c_Orderings_Oord__class_Oless__eq( tc_Nat_Onat, Y, X ), Y = c_Nat_OSuc( X
% 0.94/1.55 ) }.
% 0.94/1.55 { ! c_Orderings_Oord__class_Oless__eq( tc_Nat_Onat, Y, X ),
% 0.94/1.55 c_Orderings_Oord__class_Oless__eq( tc_Nat_Onat, Y, c_Nat_OSuc( X ) ) }.
% 0.94/1.55 { ! c_Orderings_Oord__class_Oless__eq( tc_Nat_Onat, c_Nat_OSuc( Y ),
% 0.94/1.55 c_Nat_OSuc( X ) ), c_Orderings_Oord__class_Oless__eq( tc_Nat_Onat, Y, X )
% 0.94/1.55 }.
% 0.94/1.55 { ! c_Orderings_Oord__class_Oless__eq( tc_Nat_Onat, Y, X ),
% 0.94/1.55 c_Orderings_Oord__class_Oless__eq( tc_Nat_Onat, c_Nat_OSuc( Y ),
% 0.94/1.55 c_Nat_OSuc( X ) ) }.
% 0.94/1.55 { ! c_Orderings_Oord__class_Oless__eq( tc_Nat_Onat, Y, c_Nat_OSuc( X ) ),
% 0.94/1.55 c_Orderings_Oord__class_Oless__eq( tc_Nat_Onat, Y, X ), Y = c_Nat_OSuc( X
% 0.94/1.55 ) }.
% 0.94/1.55 { ! c_Orderings_Oord__class_Oless__eq( tc_Nat_Onat, Y, X ),
% 0.94/1.55 c_Orderings_Oord__class_Oless__eq( tc_Nat_Onat, Y, c_Nat_OSuc( X ) ) }.
% 0.94/1.55 { ! Y = c_Nat_OSuc( X ), c_Orderings_Oord__class_Oless__eq( tc_Nat_Onat, Y
% 0.94/1.55 , c_Nat_OSuc( X ) ) }.
% 0.94/1.55 { c_Orderings_Oord__class_Oless__eq( tc_Nat_Onat, Y, X ),
% 0.94/1.55 c_Orderings_Oord__class_Oless__eq( tc_Nat_Onat, c_Nat_OSuc( X ), Y ) }.
% 0.94/1.55 { ! c_Orderings_Oord__class_Oless__eq( tc_Nat_Onat, c_Nat_OSuc( X ), Y ), !
% 0.94/1.55 c_Orderings_Oord__class_Oless__eq( tc_Nat_Onat, Y, X ) }.
% 0.94/1.55 { ! c_Orderings_Oord__class_Oless__eq( tc_Nat_Onat, c_Nat_OSuc( X ), X ) }
% 0.94/1.55 .
% 0.94/1.55 { ! c_Orderings_Oord__class_Oless( tc_Nat_Onat, c_Nat_OSuc( Y ), c_Nat_OSuc
% 0.94/1.55 ( X ) ), c_Orderings_Oord__class_Oless( tc_Nat_Onat, Y, X ) }.
% 0.94/1.55 { ! c_Orderings_Oord__class_Oless( tc_Nat_Onat, c_Nat_OSuc( Y ), X ),
% 0.94/1.55 c_Orderings_Oord__class_Oless( tc_Nat_Onat, Y, X ) }.
% 0.94/1.55 { ! c_Orderings_Oord__class_Oless( tc_Nat_Onat, Y, c_Nat_OSuc( X ) ),
% 0.94/1.55 c_Orderings_Oord__class_Oless( tc_Nat_Onat, Y, X ), Y = X }.
% 0.94/1.55 { ! c_Orderings_Oord__class_Oless( tc_Nat_Onat, Y, X ), !
% 0.94/1.55 c_Orderings_Oord__class_Oless( tc_Nat_Onat, X, Z ),
% 0.94/1.55 c_Orderings_Oord__class_Oless( tc_Nat_Onat, c_Nat_OSuc( Y ), Z ) }.
% 0.94/1.55 { ! c_Orderings_Oord__class_Oless( tc_Nat_Onat, Y, X ), c_Nat_OSuc( Y ) = X
% 0.94/1.55 , c_Orderings_Oord__class_Oless( tc_Nat_Onat, c_Nat_OSuc( Y ), X ) }.
% 0.94/1.55 { ! c_Orderings_Oord__class_Oless( tc_Nat_Onat, Y, X ),
% 0.94/1.55 c_Orderings_Oord__class_Oless( tc_Nat_Onat, Y, c_Nat_OSuc( X ) ) }.
% 0.94/1.55 { c_Orderings_Oord__class_Oless( tc_Nat_Onat, Y, X ), !
% 0.94/1.55 c_Orderings_Oord__class_Oless( tc_Nat_Onat, Y, c_Nat_OSuc( X ) ), X = Y }
% 0.94/1.55 .
% 0.94/1.55 { c_Orderings_Oord__class_Oless( tc_Nat_Onat, Y, X ), !
% 0.94/1.55 c_Orderings_Oord__class_Oless( tc_Nat_Onat, Y, c_Nat_OSuc( X ) ), Y = X }
% 0.94/1.55 .
% 0.94/1.55 { c_Orderings_Oord__class_Oless( tc_Nat_Onat, Y, X ), ! Y = X,
% 0.94/1.55 c_Orderings_Oord__class_Oless( tc_Nat_Onat, Y, c_Nat_OSuc( X ) ) }.
% 0.94/1.55 { ! c_Orderings_Oord__class_Oless( tc_Nat_Onat, c_Nat_OSuc( Y ), c_Nat_OSuc
% 0.94/1.55 ( X ) ), c_Orderings_Oord__class_Oless( tc_Nat_Onat, Y, X ) }.
% 0.94/1.55 { ! c_Orderings_Oord__class_Oless( tc_Nat_Onat, Y, X ),
% 0.94/1.55 c_Orderings_Oord__class_Oless( tc_Nat_Onat, c_Nat_OSuc( Y ), c_Nat_OSuc(
% 0.94/1.55 X ) ) }.
% 0.94/1.55 { ! c_Orderings_Oord__class_Oless( tc_Nat_Onat, Y, c_Nat_OSuc( X ) ),
% 0.94/1.55 c_Orderings_Oord__class_Oless( tc_Nat_Onat, Y, X ), Y = X }.
% 0.94/1.55 { ! c_Orderings_Oord__class_Oless( tc_Nat_Onat, Y, X ),
% 0.94/1.55 c_Orderings_Oord__class_Oless( tc_Nat_Onat, Y, c_Nat_OSuc( X ) ) }.
% 0.94/1.55 { ! Y = X, c_Orderings_Oord__class_Oless( tc_Nat_Onat, Y, c_Nat_OSuc( X ) )
% 0.94/1.55 }.
% 0.94/1.55 { c_Orderings_Oord__class_Oless( tc_Nat_Onat, Y, X ),
% 0.94/1.55 c_Orderings_Oord__class_Oless( tc_Nat_Onat, X, c_Nat_OSuc( Y ) ) }.
% 0.94/1.55 { ! c_Orderings_Oord__class_Oless( tc_Nat_Onat, X, c_Nat_OSuc( Y ) ), !
% 0.94/1.55 c_Orderings_Oord__class_Oless( tc_Nat_Onat, Y, X ) }.
% 0.94/1.55 { c_SetInterval_Oord__class_OatLeastAtMost( tc_Nat_Onat, c_Nat_OSuc( Y ), X
% 0.94/1.55 ) = c_SetInterval_Oord__class_OgreaterThanAtMost( tc_Nat_Onat, Y, X ) }
% 0.94/1.55 .
% 0.94/1.55 { ! class_Groups_Oone( X ), ! c_Groups_Oone__class_Oone( X ) = Y, Y =
% 0.94/1.55 c_Groups_Oone__class_Oone( X ) }.
% 0.94/1.55 { ! class_Groups_Oone( X ), ! Y = c_Groups_Oone__class_Oone( X ),
% 0.94/1.55 c_Groups_Oone__class_Oone( X ) = Y }.
% 0.94/1.55 { ! class_Rings_Olinordered__semidom( X ),
% 0.94/1.55 c_Orderings_Oord__class_Oless__eq( X, c_Groups_Ozero__class_Ozero( X ),
% 0.94/1.55 c_Groups_Oone__class_Oone( X ) ) }.
% 0.94/1.55 { ! class_Rings_Olinordered__semidom( X ), !
% 0.94/1.55 c_Orderings_Oord__class_Oless__eq( X, c_Groups_Oone__class_Oone( X ),
% 0.94/1.55 c_Groups_Ozero__class_Ozero( X ) ) }.
% 0.94/1.55 { ! class_Rings_Olinordered__semidom( X ), c_Orderings_Oord__class_Oless( X
% 0.94/1.55 , c_Groups_Ozero__class_Ozero( X ), c_Groups_Oone__class_Oone( X ) ) }.
% 0.94/1.55 { ! class_Rings_Olinordered__semidom( X ), ! c_Orderings_Oord__class_Oless
% 0.94/1.55 ( X, c_Groups_Oone__class_Oone( X ), c_Groups_Ozero__class_Ozero( X ) ) }
% 0.94/1.55 .
% 0.94/1.55 { ! c_Orderings_Oord__class_Oless( tc_Nat_Onat, Y, c_Nat_OSuc( X ) ), Y =
% 0.94/1.55 c_Groups_Ozero__class_Ozero( tc_Nat_Onat ), alpha15( X, Y ) }.
% 0.94/1.55 { ! Y = c_Groups_Ozero__class_Ozero( tc_Nat_Onat ),
% 0.94/1.55 c_Orderings_Oord__class_Oless( tc_Nat_Onat, Y, c_Nat_OSuc( X ) ) }.
% 0.94/1.55 { ! alpha15( X, Y ), c_Orderings_Oord__class_Oless( tc_Nat_Onat, Y,
% 0.94/1.55 c_Nat_OSuc( X ) ) }.
% 0.94/1.55 { ! alpha15( X, Y ), Y = c_Nat_OSuc( skol65( Z, Y ) ) }.
% 0.94/1.55 { ! alpha15( X, Y ), c_Orderings_Oord__class_Oless( tc_Nat_Onat, skol65( X
% 0.94/1.55 , Y ), X ) }.
% 0.94/1.55 { ! Y = c_Nat_OSuc( Z ), ! c_Orderings_Oord__class_Oless( tc_Nat_Onat, Z, X
% 0.94/1.55 ), alpha15( X, Y ) }.
% 0.94/1.55 { ! c_Orderings_Oord__class_Oless( tc_Nat_Onat, X, c_Nat_OSuc(
% 0.94/1.55 c_Groups_Ozero__class_Ozero( tc_Nat_Onat ) ) ), X =
% 0.94/1.55 c_Groups_Ozero__class_Ozero( tc_Nat_Onat ) }.
% 0.94/1.55 { ! X = c_Groups_Ozero__class_Ozero( tc_Nat_Onat ),
% 0.94/1.55 c_Orderings_Oord__class_Oless( tc_Nat_Onat, X, c_Nat_OSuc(
% 0.94/1.55 c_Groups_Ozero__class_Ozero( tc_Nat_Onat ) ) ) }.
% 0.94/1.55 { ! c_Orderings_Oord__class_Oless( tc_Nat_Onat, c_Groups_Ozero__class_Ozero
% 0.94/1.55 ( tc_Nat_Onat ), X ), X = c_Nat_OSuc( skol66( X ) ) }.
% 0.94/1.55 { ! X = c_Nat_OSuc( Y ), c_Orderings_Oord__class_Oless( tc_Nat_Onat,
% 0.94/1.55 c_Groups_Ozero__class_Ozero( tc_Nat_Onat ), X ) }.
% 0.94/1.55 { ! c_Orderings_Oord__class_Oless( tc_Nat_Onat, Y, X ),
% 0.94/1.55 c_Orderings_Oord__class_Oless__eq( tc_Nat_Onat, c_Nat_OSuc( Y ), X ) }.
% 0.94/1.55 { ! c_Orderings_Oord__class_Oless__eq( tc_Nat_Onat, c_Nat_OSuc( Y ), X ),
% 0.94/1.55 c_Orderings_Oord__class_Oless( tc_Nat_Onat, Y, X ) }.
% 0.94/1.55 { ! c_Orderings_Oord__class_Oless( tc_Nat_Onat, Y, c_Nat_OSuc( X ) ),
% 0.94/1.55 c_Orderings_Oord__class_Oless__eq( tc_Nat_Onat, Y, X ) }.
% 0.94/1.55 { ! c_Orderings_Oord__class_Oless__eq( tc_Nat_Onat, Y, X ),
% 0.94/1.55 c_Orderings_Oord__class_Oless( tc_Nat_Onat, Y, c_Nat_OSuc( X ) ) }.
% 0.94/1.55 { ! c_Orderings_Oord__class_Oless__eq( tc_Nat_Onat, c_Nat_OSuc( Y ), X ),
% 0.94/1.55 c_Orderings_Oord__class_Oless( tc_Nat_Onat, Y, X ) }.
% 0.94/1.55 { ! c_Orderings_Oord__class_Oless( tc_Nat_Onat, Y, X ),
% 0.94/1.55 c_Orderings_Oord__class_Oless__eq( tc_Nat_Onat, c_Nat_OSuc( Y ), X ) }.
% 0.94/1.55 { ! c_Orderings_Oord__class_Oless__eq( tc_Nat_Onat, Y, X ),
% 0.94/1.55 c_Orderings_Oord__class_Oless( tc_Nat_Onat, Y, c_Nat_OSuc( X ) ) }.
% 0.94/1.55 { ! c_Orderings_Oord__class_Oless( tc_Nat_Onat, Y, X ),
% 0.94/1.55 c_Orderings_Oord__class_Oless__eq( tc_Nat_Onat, c_Nat_OSuc( Y ), X ) }.
% 0.94/1.55 { ! c_Orderings_Oord__class_Oless__eq( tc_Nat_Onat, Y, X ), !
% 0.94/1.55 c_Orderings_Oord__class_Oless( tc_Nat_Onat, X, c_Nat_OSuc( Y ) ), X = Y }
% 0.94/1.55 .
% 0.94/1.55 { ! c_Orderings_Oord__class_Oless__eq( tc_Nat_Onat, Y, X ), ! X = Y,
% 0.94/1.55 c_Orderings_Oord__class_Oless( tc_Nat_Onat, X, c_Nat_OSuc( Y ) ) }.
% 0.94/1.55 { ! c_Orderings_Oord__class_Oless__eq( tc_Nat_Onat, c_Nat_OSuc( Y ), X ),
% 0.94/1.55 c_Orderings_Oord__class_Oless( tc_Nat_Onat, Y, X ) }.
% 0.94/1.55 { c_Orderings_Oord__class_Oless( tc_Nat_Onat, c_Groups_Ominus__class_Ominus
% 0.94/1.55 ( tc_Nat_Onat, Y, X ), c_Nat_OSuc( Y ) ) }.
% 0.94/1.55 { ! c_Orderings_Oord__class_Oless__eq( tc_Nat_Onat, Y, X ),
% 0.94/1.55 c_Groups_Ominus__class_Ominus( tc_Nat_Onat, c_Nat_OSuc( X ), Y ) =
% 0.94/1.55 c_Nat_OSuc( c_Groups_Ominus__class_Ominus( tc_Nat_Onat, X, Y ) ) }.
% 0.94/1.55 { ! class_Orderings_Oorder( X ), ! c_SEQ_Omonoseq( X, Y ),
% 0.94/1.55 c_Orderings_Oord__class_Oless__eq( X, hAPP( Y, Z ), hAPP( Y, c_Nat_OSuc(
% 0.94/1.55 Z ) ) ), c_Orderings_Oord__class_Oless__eq( X, hAPP( Y, c_Nat_OSuc( T ) )
% 0.94/1.55 , hAPP( Y, T ) ) }.
% 0.94/1.55 { ! class_Orderings_Oorder( X ), ! c_Orderings_Oord__class_Oless__eq( X,
% 0.94/1.55 hAPP( Y, skol67( X, Y ) ), hAPP( Y, c_Nat_OSuc( skol67( X, Y ) ) ) ),
% 0.94/1.55 c_SEQ_Omonoseq( X, Y ) }.
% 0.94/1.55 { ! class_Orderings_Oorder( X ), ! c_Orderings_Oord__class_Oless__eq( X,
% 0.94/1.55 hAPP( Y, c_Nat_OSuc( skol98( X, Y ) ) ), hAPP( Y, skol98( X, Y ) ) ),
% 0.94/1.55 c_SEQ_Omonoseq( X, Y ) }.
% 0.94/1.55 { c_SetInterval_Oord__class_OatLeastLessThan( tc_Nat_Onat, Y, c_Nat_OSuc( X
% 0.94/1.55 ) ) = c_SetInterval_Oord__class_OatLeastAtMost( tc_Nat_Onat, Y, X ) }.
% 0.94/1.55 { c_SetInterval_Oord__class_OgreaterThan( tc_Nat_Onat, c_Nat_OSuc( X ) ) =
% 0.94/1.55 c_Groups_Ominus__class_Ominus( tc_fun( tc_Nat_Onat, tc_HOL_Obool ),
% 0.94/1.55 c_SetInterval_Oord__class_OgreaterThan( tc_Nat_Onat, X ), c_Set_Oinsert(
% 0.94/1.55 tc_Nat_Onat, c_Nat_OSuc( X ), c_Orderings_Obot__class_Obot( tc_fun(
% 0.94/1.55 tc_Nat_Onat, tc_HOL_Obool ) ) ) ) }.
% 0.94/1.55 { ! class_Rings_Osemiring__1( X ), c_member( X, c_Groups_Oone__class_Oone(
% 0.94/1.55 X ), c_Nat_Osemiring__1__class_ONats( X ) ) }.
% 0.94/1.55 { c_SetInterval_Oord__class_OlessThan( tc_Nat_Onat, c_Nat_OSuc( X ) ) =
% 0.94/1.55 c_Set_Oinsert( tc_Nat_Onat, X, c_SetInterval_Oord__class_OlessThan(
% 0.94/1.55 tc_Nat_Onat, X ) ) }.
% 0.94/1.55 { c_SetInterval_Oord__class_OatMost( tc_Nat_Onat, c_Nat_OSuc( X ) ) =
% 0.94/1.55 c_Set_Oinsert( tc_Nat_Onat, c_Nat_OSuc( X ),
% 0.94/1.55 c_SetInterval_Oord__class_OatMost( tc_Nat_Onat, X ) ) }.
% 0.94/1.55 { ! c_SEQ_Osubseq( X ), c_Orderings_Oord__class_Oless( tc_Nat_Onat, hAPP( X
% 0.94/1.55 , Y ), hAPP( X, c_Nat_OSuc( Y ) ) ) }.
% 0.94/1.55 { ! c_Orderings_Oord__class_Oless( tc_Nat_Onat, hAPP( X, skol68( X ) ),
% 0.94/1.55 hAPP( X, c_Nat_OSuc( skol68( X ) ) ) ), c_SEQ_Osubseq( X ) }.
% 0.94/1.55 { c_SetInterval_Oord__class_OlessThan( tc_Nat_Onat, c_Nat_OSuc( X ) ) =
% 0.94/1.55 c_SetInterval_Oord__class_OatMost( tc_Nat_Onat, X ) }.
% 0.94/1.55 { ! c_Orderings_Oord__class_Oless( tc_Nat_Onat, c_Groups_Ozero__class_Ozero
% 0.94/1.55 ( tc_Nat_Onat ), X ), c_Nat_OSuc( c_Groups_Ominus__class_Ominus(
% 0.94/1.55 tc_Nat_Onat, X, c_Nat_OSuc( c_Groups_Ozero__class_Ozero( tc_Nat_Onat ) )
% 0.94/1.55 ) ) = X }.
% 0.94/1.55 { ! c_Orderings_Oord__class_Oless( tc_Nat_Onat, c_Groups_Ozero__class_Ozero
% 0.94/1.55 ( tc_Nat_Onat ), X ), c_Orderings_Oord__class_Oless( tc_Nat_Onat,
% 0.94/1.55 c_Groups_Ominus__class_Ominus( tc_Nat_Onat, X, c_Nat_OSuc( Y ) ), X ) }.
% 0.94/1.55 { c_Orderings_Oord__class_Oless( tc_RealDef_Oreal,
% 0.94/1.55 c_Groups_Ozero__class_Ozero( tc_RealDef_Oreal ), c_RealDef_Oreal(
% 0.94/1.55 tc_Nat_Onat, c_Nat_OSuc( X ) ) ) }.
% 0.94/1.55 { ! c_Orderings_Oord__class_Oless__eq( tc_Nat_Onat, Y, c_Nat_OSuc( X ) ),
% 0.94/1.55 c_SetInterval_Oord__class_OatLeastAtMost( tc_Nat_Onat, Y, c_Nat_OSuc( X )
% 0.94/1.55 ) = c_Set_Oinsert( tc_Nat_Onat, c_Nat_OSuc( X ),
% 0.94/1.55 c_SetInterval_Oord__class_OatLeastAtMost( tc_Nat_Onat, Y, X ) ) }.
% 0.94/1.55 { c_SetInterval_Oord__class_OatLeastLessThan( tc_Nat_Onat, X, c_Nat_OSuc( X
% 0.94/1.55 ) ) = c_Set_Oinsert( tc_Nat_Onat, X, c_Orderings_Obot__class_Obot(
% 0.94/1.55 tc_fun( tc_Nat_Onat, tc_HOL_Obool ) ) ) }.
% 0.94/1.55 { c_SetInterval_Oord__class_OatLeast( tc_Nat_Onat, c_Nat_OSuc( X ) ) =
% 0.94/1.55 c_Groups_Ominus__class_Ominus( tc_fun( tc_Nat_Onat, tc_HOL_Obool ),
% 0.94/1.55 c_SetInterval_Oord__class_OatLeast( tc_Nat_Onat, X ), c_Set_Oinsert(
% 0.94/1.55 tc_Nat_Onat, X, c_Orderings_Obot__class_Obot( tc_fun( tc_Nat_Onat,
% 0.94/1.55 tc_HOL_Obool ) ) ) ) }.
% 0.94/1.55 { ! c_Orderings_Oord__class_Oless__eq( tc_Nat_Onat, Y, c_Nat_OSuc( X ) ),
% 0.94/1.55 c_SetInterval_Oord__class_OatLeastAtMost( tc_Nat_Onat, Y, c_Nat_OSuc( X )
% 0.94/1.55 ) = c_Lattices_Osemilattice__sup__class_Osup( tc_fun( tc_Nat_Onat,
% 0.94/1.55 tc_HOL_Obool ), c_SetInterval_Oord__class_OatLeastAtMost( tc_Nat_Onat, Y
% 0.94/1.55 , X ), c_Set_Oinsert( tc_Nat_Onat, c_Nat_OSuc( X ),
% 0.94/1.55 c_Orderings_Obot__class_Obot( tc_fun( tc_Nat_Onat, tc_HOL_Obool ) ) ) ) }
% 0.94/1.55 .
% 0.94/1.55 { ! c_Orderings_Oord__class_Oless( tc_Nat_Onat, X, c_Nat_OSuc( c_Nat_OSuc(
% 0.94/1.55 c_Groups_Ozero__class_Ozero( tc_Nat_Onat ) ) ) ), X =
% 0.94/1.55 c_Groups_Ozero__class_Ozero( tc_Nat_Onat ), X = c_Nat_OSuc(
% 0.94/1.55 c_Groups_Ozero__class_Ozero( tc_Nat_Onat ) ) }.
% 0.94/1.55 { c_Groups_Ominus__class_Ominus( tc_Nat_Onat, Y, c_Nat_OSuc( X ) ) =
% 0.94/1.55 c_Groups_Ominus__class_Ominus( tc_Nat_Onat, c_Groups_Ominus__class_Ominus
% 0.94/1.55 ( tc_Nat_Onat, Y, c_Groups_Oone__class_Oone( tc_Nat_Onat ) ), X ) }.
% 0.94/1.55 { c_Groups_Oone__class_Oone( tc_Nat_Onat ) = c_Nat_OSuc(
% 0.94/1.55 c_Groups_Ozero__class_Ozero( tc_Nat_Onat ) ) }.
% 0.94/1.55 { c_Groups_Ominus__class_Ominus( tc_Nat_Onat, c_Nat_OSuc( X ),
% 0.94/1.55 c_Groups_Oone__class_Oone( tc_Nat_Onat ) ) = X }.
% 0.94/1.55 { c_RealDef_Oreal( tc_Nat_Onat, c_Groups_Oone__class_Oone( tc_Nat_Onat ) )
% 0.94/1.55 = c_Groups_Oone__class_Oone( tc_RealDef_Oreal ) }.
% 0.94/1.55 { c_RComplete_Onatfloor( c_Groups_Oone__class_Oone( tc_RealDef_Oreal ) ) =
% 0.94/1.55 c_Groups_Oone__class_Oone( tc_Nat_Onat ) }.
% 0.94/1.55 { c_RComplete_Onatceiling( c_Groups_Oone__class_Oone( tc_RealDef_Oreal ) )
% 0.94/1.55 = c_Groups_Oone__class_Oone( tc_Nat_Onat ) }.
% 0.94/1.55 { ! c_Orderings_Oord__class_Oless( tc_Nat_Onat, c_Groups_Ozero__class_Ozero
% 0.94/1.55 ( tc_Nat_Onat ), X ), X = c_Nat_OSuc( c_Groups_Ominus__class_Ominus(
% 0.94/1.55 tc_Nat_Onat, X, c_Groups_Oone__class_Oone( tc_Nat_Onat ) ) ) }.
% 0.94/1.55 { ! c_Orderings_Oord__class_Oless( tc_Nat_Onat, c_Groups_Ozero__class_Ozero
% 0.94/1.55 ( tc_Nat_Onat ), X ), c_Nat_OSuc( c_Groups_Ominus__class_Ominus(
% 0.94/1.55 tc_Nat_Onat, X, c_Groups_Oone__class_Oone( tc_Nat_Onat ) ) ) = X }.
% 0.94/1.55 { ! c_Orderings_Oord__class_Oless__eq( tc_Nat_Onat,
% 0.94/1.55 c_Groups_Oone__class_Oone( tc_Nat_Onat ), c_RComplete_Onatfloor( X ) ),
% 0.94/1.55 c_Orderings_Oord__class_Oless__eq( tc_RealDef_Oreal,
% 0.94/1.55 c_Groups_Oone__class_Oone( tc_RealDef_Oreal ), X ) }.
% 0.94/1.55 { ! c_Orderings_Oord__class_Oless__eq( tc_RealDef_Oreal,
% 0.94/1.55 c_Groups_Oone__class_Oone( tc_RealDef_Oreal ), X ),
% 0.94/1.55 c_Orderings_Oord__class_Oless__eq( tc_Nat_Onat, c_Groups_Oone__class_Oone
% 0.94/1.55 ( tc_Nat_Onat ), c_RComplete_Onatfloor( X ) ) }.
% 0.94/1.55 { ! c_Orderings_Oord__class_Oless__eq( tc_Nat_Onat, c_RComplete_Onatceiling
% 0.94/1.55 ( X ), c_Groups_Oone__class_Oone( tc_Nat_Onat ) ),
% 0.94/1.55 c_Orderings_Oord__class_Oless__eq( tc_RealDef_Oreal, X,
% 0.94/1.55 c_Groups_Oone__class_Oone( tc_RealDef_Oreal ) ) }.
% 0.94/1.55 { ! c_Orderings_Oord__class_Oless__eq( tc_RealDef_Oreal, X,
% 0.94/1.55 c_Groups_Oone__class_Oone( tc_RealDef_Oreal ) ),
% 0.94/1.55 c_Orderings_Oord__class_Oless__eq( tc_Nat_Onat, c_RComplete_Onatceiling(
% 0.94/1.55 X ), c_Groups_Oone__class_Oone( tc_Nat_Onat ) ) }.
% 0.94/1.55 { ! class_GCD_Ogcd( X ), c_GCD_Ogcd__class_OLcm( X,
% 0.94/1.55 c_Orderings_Obot__class_Obot( tc_fun( X, tc_HOL_Obool ) ) ) =
% 0.94/1.55 c_Groups_Oone__class_Oone( X ) }.
% 0.94/1.55 { ! c_Orderings_Oord__class_Oless__eq( tc_RealDef_Oreal,
% 0.94/1.55 c_Groups_Ozero__class_Ozero( tc_RealDef_Oreal ), X ),
% 0.94/1.55 c_Orderings_Oord__class_Oless__eq( tc_RealDef_Oreal, c_RealDef_Oreal(
% 0.94/1.55 tc_Nat_Onat, c_Groups_Ominus__class_Ominus( tc_Nat_Onat, skol69( X ),
% 0.94/1.55 c_Groups_Oone__class_Oone( tc_Nat_Onat ) ) ), X ) }.
% 0.94/1.55 { ! c_Orderings_Oord__class_Oless__eq( tc_RealDef_Oreal,
% 0.94/1.55 c_Groups_Ozero__class_Ozero( tc_RealDef_Oreal ), X ),
% 0.94/1.55 c_Orderings_Oord__class_Oless( tc_RealDef_Oreal, X, c_RealDef_Oreal(
% 0.94/1.55 tc_Nat_Onat, skol69( X ) ) ) }.
% 0.94/1.55 { ! c_Orderings_Oord__class_Oless__eq( tc_RealDef_Oreal,
% 0.94/1.55 c_Groups_Ozero__class_Ozero( tc_RealDef_Oreal ), X ),
% 0.94/1.55 c_Orderings_Oord__class_Oless__eq( tc_RealDef_Oreal, c_RealDef_Oreal(
% 0.94/1.55 tc_Nat_Onat, skol70( X ) ), X ) }.
% 0.94/1.55 { ! c_Orderings_Oord__class_Oless__eq( tc_RealDef_Oreal,
% 0.94/1.55 c_Groups_Ozero__class_Ozero( tc_RealDef_Oreal ), X ),
% 0.94/1.55 c_Orderings_Oord__class_Oless( tc_RealDef_Oreal, X, c_RealDef_Oreal(
% 0.94/1.55 tc_Nat_Onat, c_Nat_OSuc( skol70( X ) ) ) ) }.
% 0.94/1.55 { ! c_Orderings_Oord__class_Oless__eq( tc_Nat_Onat, Y,
% 0.94/1.55 c_Groups_Oplus__class_Oplus( tc_Nat_Onat, X, c_Groups_Oone__class_Oone(
% 0.94/1.55 tc_Nat_Onat ) ) ), c_SetInterval_Oord__class_OatLeastAtMost( tc_Nat_Onat
% 0.94/1.55 , Y, c_Groups_Oplus__class_Oplus( tc_Nat_Onat, X,
% 0.94/1.55 c_Groups_Oone__class_Oone( tc_Nat_Onat ) ) ) =
% 0.94/1.55 c_Lattices_Osemilattice__sup__class_Osup( tc_fun( tc_Nat_Onat,
% 0.94/1.55 tc_HOL_Obool ), c_SetInterval_Oord__class_OatLeastAtMost( tc_Nat_Onat, Y
% 0.94/1.55 , X ), c_Set_Oinsert( tc_Nat_Onat, c_Groups_Oplus__class_Oplus(
% 0.94/1.55 tc_Nat_Onat, X, c_Groups_Oone__class_Oone( tc_Nat_Onat ) ),
% 0.94/1.55 c_Orderings_Obot__class_Obot( tc_fun( tc_Nat_Onat, tc_HOL_Obool ) ) ) ) }
% 0.94/1.55 .
% 0.94/1.55 { ! c_Orderings_Oord__class_Oless__eq( tc_Nat_Onat,
% 0.94/1.55 c_Groups_Oplus__class_Oplus( tc_Nat_Onat, c_RComplete_Onatfloor( Y ),
% 0.94/1.55 c_Groups_Oone__class_Oone( tc_Nat_Onat ) ), X ),
% 0.94/1.55 c_Orderings_Oord__class_Oless( tc_RealDef_Oreal, Y, c_RealDef_Oreal(
% 0.94/1.55 tc_Nat_Onat, X ) ) }.
% 0.94/1.55 { ! c_Orderings_Oord__class_Oless__eq( tc_RealDef_Oreal, c_RealDef_Oreal(
% 0.94/1.55 tc_Nat_Onat, Y ), X ), ! c_Orderings_Oord__class_Oless( tc_RealDef_Oreal
% 0.94/1.55 , X, c_Groups_Oplus__class_Oplus( tc_RealDef_Oreal, c_RealDef_Oreal(
% 0.94/1.55 tc_Nat_Onat, Y ), c_Groups_Oone__class_Oone( tc_RealDef_Oreal ) ) ),
% 0.94/1.55 c_RComplete_Onatfloor( X ) = Y }.
% 0.94/1.55 { ! class_Rings_Olinordered__semidom( X ), c_Orderings_Oord__class_Oless( X
% 0.94/1.55 , Y, c_Groups_Oplus__class_Oplus( X, Y, c_Groups_Oone__class_Oone( X ) )
% 0.94/1.55 ) }.
% 0.94/1.55 { ! c_Groups_Oplus__class_Oplus( tc_Nat_Onat, Y, X ) = c_Nat_OSuc(
% 0.94/1.55 c_Groups_Ozero__class_Ozero( tc_Nat_Onat ) ), alpha16( X, Y ), alpha28( X
% 0.94/1.55 , Y ) }.
% 0.94/1.55 { ! alpha16( X, Y ), c_Groups_Oplus__class_Oplus( tc_Nat_Onat, Y, X ) =
% 0.94/1.55 c_Nat_OSuc( c_Groups_Ozero__class_Ozero( tc_Nat_Onat ) ) }.
% 0.94/1.55 { ! alpha28( X, Y ), c_Groups_Oplus__class_Oplus( tc_Nat_Onat, Y, X ) =
% 0.94/1.55 c_Nat_OSuc( c_Groups_Ozero__class_Ozero( tc_Nat_Onat ) ) }.
% 0.94/1.55 { ! alpha28( X, Y ), Y = c_Groups_Ozero__class_Ozero( tc_Nat_Onat ) }.
% 0.94/1.55 { ! alpha28( X, Y ), X = c_Nat_OSuc( c_Groups_Ozero__class_Ozero(
% 0.94/1.55 tc_Nat_Onat ) ) }.
% 0.94/1.55 { ! Y = c_Groups_Ozero__class_Ozero( tc_Nat_Onat ), ! X = c_Nat_OSuc(
% 0.94/1.55 c_Groups_Ozero__class_Ozero( tc_Nat_Onat ) ), alpha28( X, Y ) }.
% 0.94/1.55 { ! alpha16( X, Y ), Y = c_Nat_OSuc( c_Groups_Ozero__class_Ozero(
% 0.94/1.55 tc_Nat_Onat ) ) }.
% 0.94/1.55 { ! alpha16( X, Y ), X = c_Groups_Ozero__class_Ozero( tc_Nat_Onat ) }.
% 0.94/1.55 { ! Y = c_Nat_OSuc( c_Groups_Ozero__class_Ozero( tc_Nat_Onat ) ), ! X =
% 0.94/1.55 c_Groups_Ozero__class_Ozero( tc_Nat_Onat ), alpha16( X, Y ) }.
% 0.94/1.55 { ! c_Nat_OSuc( c_Groups_Ozero__class_Ozero( tc_Nat_Onat ) ) =
% 0.94/1.55 c_Groups_Oplus__class_Oplus( tc_Nat_Onat, Y, X ), alpha17( X, Y ),
% 0.94/1.55 alpha29( X, Y ) }.
% 0.94/1.55 { ! alpha17( X, Y ), c_Nat_OSuc( c_Groups_Ozero__class_Ozero( tc_Nat_Onat )
% 0.94/1.55 ) = c_Groups_Oplus__class_Oplus( tc_Nat_Onat, Y, X ) }.
% 0.94/1.55 { ! alpha29( X, Y ), c_Nat_OSuc( c_Groups_Ozero__class_Ozero( tc_Nat_Onat )
% 0.94/1.55 ) = c_Groups_Oplus__class_Oplus( tc_Nat_Onat, Y, X ) }.
% 0.94/1.55 { ! alpha29( X, Y ), Y = c_Groups_Ozero__class_Ozero( tc_Nat_Onat ) }.
% 0.94/1.55 { ! alpha29( X, Y ), X = c_Nat_OSuc( c_Groups_Ozero__class_Ozero(
% 0.94/1.55 tc_Nat_Onat ) ) }.
% 0.94/1.55 { ! Y = c_Groups_Ozero__class_Ozero( tc_Nat_Onat ), ! X = c_Nat_OSuc(
% 0.94/1.55 c_Groups_Ozero__class_Ozero( tc_Nat_Onat ) ), alpha29( X, Y ) }.
% 0.94/1.55 { ! alpha17( X, Y ), Y = c_Nat_OSuc( c_Groups_Ozero__class_Ozero(
% 0.94/1.55 tc_Nat_Onat ) ) }.
% 0.94/1.55 { ! alpha17( X, Y ), X = c_Groups_Ozero__class_Ozero( tc_Nat_Onat ) }.
% 0.94/1.55 { ! Y = c_Nat_OSuc( c_Groups_Ozero__class_Ozero( tc_Nat_Onat ) ), ! X =
% 0.94/1.55 c_Groups_Ozero__class_Ozero( tc_Nat_Onat ), alpha17( X, Y ) }.
% 0.94/1.55 { ! c_Orderings_Oord__class_Oless( tc_Nat_Onat, c_Groups_Ozero__class_Ozero
% 0.94/1.55 ( tc_Nat_Onat ), c_Groups_Oplus__class_Oplus( tc_Nat_Onat, Y, X ) ),
% 0.94/1.55 c_Orderings_Oord__class_Oless( tc_Nat_Onat, c_Groups_Ozero__class_Ozero(
% 0.94/1.55 tc_Nat_Onat ), Y ), c_Orderings_Oord__class_Oless( tc_Nat_Onat,
% 0.94/1.55 c_Groups_Ozero__class_Ozero( tc_Nat_Onat ), X ) }.
% 0.94/1.55 { ! c_Orderings_Oord__class_Oless( tc_Nat_Onat, c_Groups_Ozero__class_Ozero
% 0.94/1.55 ( tc_Nat_Onat ), Y ), c_Orderings_Oord__class_Oless( tc_Nat_Onat,
% 0.94/1.55 c_Groups_Ozero__class_Ozero( tc_Nat_Onat ), c_Groups_Oplus__class_Oplus(
% 0.94/1.55 tc_Nat_Onat, Y, X ) ) }.
% 0.94/1.55 { ! c_Orderings_Oord__class_Oless( tc_Nat_Onat, c_Groups_Ozero__class_Ozero
% 0.94/1.55 ( tc_Nat_Onat ), X ), c_Orderings_Oord__class_Oless( tc_Nat_Onat,
% 0.94/1.55 c_Groups_Ozero__class_Ozero( tc_Nat_Onat ), c_Groups_Oplus__class_Oplus(
% 0.94/1.55 tc_Nat_Onat, Y, X ) ) }.
% 0.94/1.55 { ! c_Orderings_Oord__class_Oless( tc_Nat_Onat, Y, X ), X = c_Nat_OSuc(
% 0.94/1.55 c_Groups_Oplus__class_Oplus( tc_Nat_Onat, Y, skol71( X, Y ) ) ) }.
% 0.94/1.55 { ! X = c_Nat_OSuc( c_Groups_Oplus__class_Oplus( tc_Nat_Onat, Y, Z ) ),
% 0.94/1.55 c_Orderings_Oord__class_Oless( tc_Nat_Onat, Y, X ) }.
% 0.94/1.55 { c_Orderings_Oord__class_Oless( tc_Nat_Onat, Y, c_Nat_OSuc(
% 0.94/1.55 c_Groups_Oplus__class_Oplus( tc_Nat_Onat, X, Y ) ) ) }.
% 0.94/1.55 { c_Orderings_Oord__class_Oless( tc_Nat_Onat, Y, c_Nat_OSuc(
% 0.94/1.55 c_Groups_Oplus__class_Oplus( tc_Nat_Onat, Y, X ) ) ) }.
% 0.94/1.55 { c_Groups_Ominus__class_Ominus( tc_Nat_Onat, Y,
% 0.94/1.55 c_Groups_Oplus__class_Oplus( tc_Nat_Onat, Y, X ) ) =
% 0.94/1.55 c_Groups_Ozero__class_Ozero( tc_Nat_Onat ) }.
% 0.94/1.55 { c_Groups_Oplus__class_Oplus( tc_Nat_Onat, c_Nat_OSuc( Y ), X ) =
% 0.94/1.55 c_Groups_Oplus__class_Oplus( tc_Nat_Onat, Y, c_Nat_OSuc( X ) ) }.
% 0.94/1.55 { c_Groups_Oplus__class_Oplus( tc_Nat_Onat, c_Nat_OSuc( Y ), X ) =
% 0.94/1.55 c_Nat_OSuc( c_Groups_Oplus__class_Oplus( tc_Nat_Onat, Y, X ) ) }.
% 0.94/1.55 { c_Groups_Oplus__class_Oplus( tc_Nat_Onat, Y, c_Nat_OSuc( X ) ) =
% 0.94/1.55 c_Nat_OSuc( c_Groups_Oplus__class_Oplus( tc_Nat_Onat, Y, X ) ) }.
% 0.94/1.55 { ! class_Groups_Oab__semigroup__add( X ), c_Groups_Oplus__class_Oplus( X,
% 0.94/1.55 c_Groups_Oplus__class_Oplus( X, T, Z ), Y ) = c_Groups_Oplus__class_Oplus
% 0.94/1.55 ( X, T, c_Groups_Oplus__class_Oplus( X, Z, Y ) ) }.
% 0.94/1.55 { ! class_Groups_Ocancel__semigroup__add( X ), !
% 0.94/1.55 c_Groups_Oplus__class_Oplus( X, T, Z ) = c_Groups_Oplus__class_Oplus( X,
% 0.94/1.55 T, Y ), Z = Y }.
% 0.94/1.55 { ! class_Groups_Ocancel__semigroup__add( X ), ! Z = Y,
% 0.94/1.55 c_Groups_Oplus__class_Oplus( X, T, Z ) = c_Groups_Oplus__class_Oplus( X,
% 0.94/1.55 T, Y ) }.
% 0.94/1.55 { ! class_Groups_Ocancel__semigroup__add( X ), !
% 0.94/1.55 c_Groups_Oplus__class_Oplus( X, T, Z ) = c_Groups_Oplus__class_Oplus( X,
% 0.94/1.55 Y, Z ), T = Y }.
% 0.94/1.55 { ! class_Groups_Ocancel__semigroup__add( X ), ! T = Y,
% 0.94/1.55 c_Groups_Oplus__class_Oplus( X, T, Z ) = c_Groups_Oplus__class_Oplus( X,
% 0.94/1.55 Y, Z ) }.
% 0.94/1.55 { ! class_Groups_Ocancel__semigroup__add( X ), !
% 0.94/1.55 c_Groups_Oplus__class_Oplus( X, T, Z ) = c_Groups_Oplus__class_Oplus( X,
% 0.94/1.55 T, Y ), Z = Y }.
% 0.94/1.55 { ! class_Groups_Ocancel__ab__semigroup__add( X ), !
% 0.94/1.55 c_Groups_Oplus__class_Oplus( X, T, Z ) = c_Groups_Oplus__class_Oplus( X,
% 0.94/1.55 T, Y ), Z = Y }.
% 0.94/1.55 { ! class_Groups_Ocancel__semigroup__add( X ), !
% 0.94/1.55 c_Groups_Oplus__class_Oplus( X, Z, T ) = c_Groups_Oplus__class_Oplus( X,
% 0.94/1.55 Y, T ), Z = Y }.
% 0.94/1.55 { ! class_Groups_Oordered__ab__semigroup__add__imp__le( X ), !
% 0.94/1.55 c_Orderings_Oord__class_Oless__eq( X, c_Groups_Oplus__class_Oplus( X, T,
% 0.94/1.55 Z ), c_Groups_Oplus__class_Oplus( X, Y, Z ) ),
% 0.94/1.55 c_Orderings_Oord__class_Oless__eq( X, T, Y ) }.
% 0.94/1.55 { ! class_Groups_Oordered__ab__semigroup__add__imp__le( X ), !
% 0.94/1.55 c_Orderings_Oord__class_Oless__eq( X, T, Y ),
% 0.94/1.55 c_Orderings_Oord__class_Oless__eq( X, c_Groups_Oplus__class_Oplus( X, T,
% 0.94/1.55 Z ), c_Groups_Oplus__class_Oplus( X, Y, Z ) ) }.
% 0.94/1.55 { ! class_Groups_Oordered__ab__semigroup__add__imp__le( X ), !
% 0.94/1.55 c_Orderings_Oord__class_Oless__eq( X, c_Groups_Oplus__class_Oplus( X, T,
% 0.94/1.55 Z ), c_Groups_Oplus__class_Oplus( X, T, Y ) ),
% 0.94/1.55 c_Orderings_Oord__class_Oless__eq( X, Z, Y ) }.
% 0.94/1.55 { ! class_Groups_Oordered__ab__semigroup__add__imp__le( X ), !
% 0.94/1.55 c_Orderings_Oord__class_Oless__eq( X, Z, Y ),
% 0.94/1.55 c_Orderings_Oord__class_Oless__eq( X, c_Groups_Oplus__class_Oplus( X, T,
% 0.94/1.55 Z ), c_Groups_Oplus__class_Oplus( X, T, Y ) ) }.
% 0.94/1.55 { ! class_Groups_Oordered__ab__semigroup__add( X ), !
% 0.94/1.55 c_Orderings_Oord__class_Oless__eq( X, Z, Y ),
% 0.94/1.55 c_Orderings_Oord__class_Oless__eq( X, c_Groups_Oplus__class_Oplus( X, Z,
% 0.94/1.55 T ), c_Groups_Oplus__class_Oplus( X, Y, T ) ) }.
% 0.94/1.55 { ! class_Groups_Oordered__ab__semigroup__add( X ), !
% 0.94/1.55 c_Orderings_Oord__class_Oless__eq( X, Z, Y ),
% 0.94/1.55 c_Orderings_Oord__class_Oless__eq( X, c_Groups_Oplus__class_Oplus( X, T,
% 0.94/1.55 Z ), c_Groups_Oplus__class_Oplus( X, T, Y ) ) }.
% 0.94/1.55 { ! class_Groups_Oordered__ab__semigroup__add( X ), !
% 0.94/1.55 c_Orderings_Oord__class_Oless__eq( X, Z, Y ), !
% 0.94/1.55 c_Orderings_Oord__class_Oless__eq( X, U, T ),
% 0.94/1.55 c_Orderings_Oord__class_Oless__eq( X, c_Groups_Oplus__class_Oplus( X, Z,
% 0.94/1.55 U ), c_Groups_Oplus__class_Oplus( X, Y, T ) ) }.
% 0.94/1.55 { ! class_Groups_Oordered__ab__semigroup__add__imp__le( X ), !
% 0.94/1.55 c_Orderings_Oord__class_Oless__eq( X, c_Groups_Oplus__class_Oplus( X, Z,
% 0.94/1.55 T ), c_Groups_Oplus__class_Oplus( X, Y, T ) ),
% 0.94/1.55 c_Orderings_Oord__class_Oless__eq( X, Z, Y ) }.
% 0.94/1.55 { ! class_Groups_Oordered__ab__semigroup__add__imp__le( X ), !
% 0.94/1.55 c_Orderings_Oord__class_Oless__eq( X, c_Groups_Oplus__class_Oplus( X, T,
% 0.94/1.55 Z ), c_Groups_Oplus__class_Oplus( X, T, Y ) ),
% 0.94/1.55 c_Orderings_Oord__class_Oless__eq( X, Z, Y ) }.
% 0.94/1.55 { ! class_Groups_Oordered__ab__semigroup__add__imp__le( X ), !
% 0.94/1.55 c_Orderings_Oord__class_Oless( X, c_Groups_Oplus__class_Oplus( X, T, Z )
% 0.94/1.55 , c_Groups_Oplus__class_Oplus( X, T, Y ) ), c_Orderings_Oord__class_Oless
% 0.94/1.55 ( X, Z, Y ) }.
% 0.94/1.55 { ! class_Groups_Oordered__ab__semigroup__add__imp__le( X ), !
% 0.94/1.55 c_Orderings_Oord__class_Oless( X, c_Groups_Oplus__class_Oplus( X, Z, T )
% 0.94/1.55 , c_Groups_Oplus__class_Oplus( X, Y, T ) ), c_Orderings_Oord__class_Oless
% 0.94/1.55 ( X, Z, Y ) }.
% 0.94/1.55 { ! class_Groups_Oordered__cancel__ab__semigroup__add( X ), !
% 0.94/1.55 c_Orderings_Oord__class_Oless( X, Z, Y ), ! c_Orderings_Oord__class_Oless
% 0.94/1.55 ( X, U, T ), c_Orderings_Oord__class_Oless( X,
% 0.94/1.55 c_Groups_Oplus__class_Oplus( X, Z, U ), c_Groups_Oplus__class_Oplus( X, Y
% 0.94/1.55 , T ) ) }.
% 0.94/1.55 { ! class_Groups_Oordered__cancel__ab__semigroup__add( X ), !
% 0.94/1.55 c_Orderings_Oord__class_Oless( X, Z, Y ), c_Orderings_Oord__class_Oless(
% 0.94/1.55 X, c_Groups_Oplus__class_Oplus( X, T, Z ), c_Groups_Oplus__class_Oplus( X
% 0.94/1.55 , T, Y ) ) }.
% 0.94/1.55 { ! class_Groups_Oordered__cancel__ab__semigroup__add( X ), !
% 0.94/1.55 c_Orderings_Oord__class_Oless( X, Z, Y ), c_Orderings_Oord__class_Oless(
% 0.94/1.55 X, c_Groups_Oplus__class_Oplus( X, Z, T ), c_Groups_Oplus__class_Oplus( X
% 0.94/1.55 , Y, T ) ) }.
% 0.94/1.55 { ! class_Groups_Oordered__ab__semigroup__add__imp__le( X ), !
% 0.94/1.55 c_Orderings_Oord__class_Oless( X, c_Groups_Oplus__class_Oplus( X, T, Z )
% 0.94/1.55 , c_Groups_Oplus__class_Oplus( X, T, Y ) ), c_Orderings_Oord__class_Oless
% 0.94/1.55 ( X, Z, Y ) }.
% 0.94/1.55 { ! class_Groups_Oordered__ab__semigroup__add__imp__le( X ), !
% 0.94/1.55 c_Orderings_Oord__class_Oless( X, Z, Y ), c_Orderings_Oord__class_Oless(
% 0.94/1.55 X, c_Groups_Oplus__class_Oplus( X, T, Z ), c_Groups_Oplus__class_Oplus( X
% 0.94/1.55 , T, Y ) ) }.
% 0.94/1.55 { ! class_Groups_Oordered__ab__semigroup__add__imp__le( X ), !
% 0.94/1.55 c_Orderings_Oord__class_Oless( X, c_Groups_Oplus__class_Oplus( X, T, Z )
% 0.94/1.55 , c_Groups_Oplus__class_Oplus( X, Y, Z ) ), c_Orderings_Oord__class_Oless
% 0.94/1.55 ( X, T, Y ) }.
% 0.94/1.55 { ! class_Groups_Oordered__ab__semigroup__add__imp__le( X ), !
% 0.94/1.55 c_Orderings_Oord__class_Oless( X, T, Y ), c_Orderings_Oord__class_Oless(
% 0.94/1.55 X, c_Groups_Oplus__class_Oplus( X, T, Z ), c_Groups_Oplus__class_Oplus( X
% 0.94/1.55 , Y, Z ) ) }.
% 0.94/1.55 { ! c_Orderings_Oord__class_Oless__eq( tc_RealDef_Oreal, Y, X ),
% 0.94/1.55 c_Orderings_Oord__class_Oless__eq( tc_RealDef_Oreal,
% 0.94/1.55 c_Groups_Oplus__class_Oplus( tc_RealDef_Oreal, Z, Y ),
% 0.94/1.55 c_Groups_Oplus__class_Oplus( tc_RealDef_Oreal, Z, X ) ) }.
% 0.94/1.55 { ! c_Orderings_Oord__class_Oless( tc_Nat_Onat, c_Groups_Oplus__class_Oplus
% 0.94/1.55 ( tc_Nat_Onat, Y, X ), Y ) }.
% 0.94/1.55 { ! c_Orderings_Oord__class_Oless( tc_Nat_Onat, c_Groups_Oplus__class_Oplus
% 0.94/1.55 ( tc_Nat_Onat, Y, X ), X ) }.
% 0.94/1.55 { ! c_Orderings_Oord__class_Oless( tc_Nat_Onat, c_Groups_Oplus__class_Oplus
% 0.94/1.55 ( tc_Nat_Onat, Z, Y ), c_Groups_Oplus__class_Oplus( tc_Nat_Onat, Z, X ) )
% 0.94/1.55 , c_Orderings_Oord__class_Oless( tc_Nat_Onat, Y, X ) }.
% 0.94/1.55 { ! c_Orderings_Oord__class_Oless( tc_Nat_Onat, Y, X ),
% 0.94/1.55 c_Orderings_Oord__class_Oless( tc_Nat_Onat, c_Groups_Oplus__class_Oplus(
% 0.94/1.55 tc_Nat_Onat, Z, Y ), c_Groups_Oplus__class_Oplus( tc_Nat_Onat, Z, X ) ) }
% 0.94/1.55 .
% 0.94/1.55 { ! c_Orderings_Oord__class_Oless( tc_Nat_Onat, Y, X ),
% 0.94/1.55 c_Orderings_Oord__class_Oless( tc_Nat_Onat, Y,
% 0.94/1.55 c_Groups_Oplus__class_Oplus( tc_Nat_Onat, X, Z ) ) }.
% 0.94/1.55 { ! c_Orderings_Oord__class_Oless( tc_Nat_Onat, Y, X ),
% 0.94/1.55 c_Orderings_Oord__class_Oless( tc_Nat_Onat, Y,
% 0.94/1.55 c_Groups_Oplus__class_Oplus( tc_Nat_Onat, Z, X ) ) }.
% 0.94/1.55 { ! c_Orderings_Oord__class_Oless( tc_Nat_Onat, Y, X ),
% 0.94/1.55 c_Orderings_Oord__class_Oless( tc_Nat_Onat, Y,
% 0.94/1.55 c_Groups_Oplus__class_Oplus( tc_Nat_Onat, X, Z ) ) }.
% 0.94/1.55 { ! c_Orderings_Oord__class_Oless( tc_Nat_Onat, Y, X ),
% 0.94/1.55 c_Orderings_Oord__class_Oless( tc_Nat_Onat, Y,
% 0.94/1.55 c_Groups_Oplus__class_Oplus( tc_Nat_Onat, Z, X ) ) }.
% 0.94/1.55 { ! c_Orderings_Oord__class_Oless( tc_Nat_Onat, Y, X ),
% 0.94/1.55 c_Orderings_Oord__class_Oless( tc_Nat_Onat, c_Groups_Oplus__class_Oplus(
% 0.94/1.55 tc_Nat_Onat, Y, Z ), c_Groups_Oplus__class_Oplus( tc_Nat_Onat, X, Z ) ) }
% 0.94/1.55 .
% 0.94/1.55 { ! c_Orderings_Oord__class_Oless( tc_Nat_Onat, Y, X ), !
% 0.94/1.55 c_Orderings_Oord__class_Oless( tc_Nat_Onat, T, Z ),
% 0.94/1.55 c_Orderings_Oord__class_Oless( tc_Nat_Onat, c_Groups_Oplus__class_Oplus(
% 0.94/1.55 tc_Nat_Onat, Y, T ), c_Groups_Oplus__class_Oplus( tc_Nat_Onat, X, Z ) ) }
% 0.94/1.55 .
% 0.94/1.55 { ! c_Orderings_Oord__class_Oless( tc_Nat_Onat, Y, X ), !
% 0.94/1.55 c_Groups_Oplus__class_Oplus( tc_Nat_Onat, T, X ) =
% 0.94/1.55 c_Groups_Oplus__class_Oplus( tc_Nat_Onat, Y, Z ),
% 0.94/1.55 c_Orderings_Oord__class_Oless( tc_Nat_Onat, T, Z ) }.
% 0.94/1.55 { ! c_Orderings_Oord__class_Oless( tc_Nat_Onat, c_Groups_Oplus__class_Oplus
% 0.94/1.55 ( tc_Nat_Onat, Y, Z ), X ), c_Orderings_Oord__class_Oless( tc_Nat_Onat, Y
% 0.94/1.55 , X ) }.
% 0.94/1.55 { c_Orderings_Oord__class_Oless__eq( tc_Nat_Onat, Y,
% 0.94/1.55 c_Groups_Oplus__class_Oplus( tc_Nat_Onat, X, Y ) ) }.
% 0.94/1.55 { c_Orderings_Oord__class_Oless__eq( tc_Nat_Onat, Y,
% 0.94/1.55 c_Groups_Oplus__class_Oplus( tc_Nat_Onat, Y, X ) ) }.
% 0.94/1.55 { ! c_Orderings_Oord__class_Oless__eq( tc_Nat_Onat, Y, X ), X =
% 0.94/1.55 c_Groups_Oplus__class_Oplus( tc_Nat_Onat, Y, skol72( X, Y ) ) }.
% 0.94/1.55 { ! X = c_Groups_Oplus__class_Oplus( tc_Nat_Onat, Y, Z ),
% 0.94/1.55 c_Orderings_Oord__class_Oless__eq( tc_Nat_Onat, Y, X ) }.
% 0.94/1.55 { ! c_Orderings_Oord__class_Oless__eq( tc_Nat_Onat,
% 0.94/1.55 c_Groups_Oplus__class_Oplus( tc_Nat_Onat, Z, Y ),
% 0.94/1.55 c_Groups_Oplus__class_Oplus( tc_Nat_Onat, Z, X ) ),
% 0.94/1.55 c_Orderings_Oord__class_Oless__eq( tc_Nat_Onat, Y, X ) }.
% 0.94/1.55 { ! c_Orderings_Oord__class_Oless__eq( tc_Nat_Onat, Y, X ),
% 0.94/1.55 c_Orderings_Oord__class_Oless__eq( tc_Nat_Onat,
% 0.94/1.55 c_Groups_Oplus__class_Oplus( tc_Nat_Onat, Z, Y ),
% 0.94/1.55 c_Groups_Oplus__class_Oplus( tc_Nat_Onat, Z, X ) ) }.
% 0.94/1.55 { ! c_Orderings_Oord__class_Oless__eq( tc_Nat_Onat, Y, X ),
% 0.94/1.55 c_Orderings_Oord__class_Oless__eq( tc_Nat_Onat, Y,
% 0.94/1.55 c_Groups_Oplus__class_Oplus( tc_Nat_Onat, X, Z ) ) }.
% 0.94/1.55 { ! c_Orderings_Oord__class_Oless__eq( tc_Nat_Onat, Y, X ),
% 0.94/1.55 c_Orderings_Oord__class_Oless__eq( tc_Nat_Onat, Y,
% 0.94/1.55 c_Groups_Oplus__class_Oplus( tc_Nat_Onat, Z, X ) ) }.
% 0.94/1.55 { ! c_Orderings_Oord__class_Oless__eq( tc_Nat_Onat, Y, X ),
% 0.94/1.55 c_Orderings_Oord__class_Oless__eq( tc_Nat_Onat, Y,
% 0.94/1.55 c_Groups_Oplus__class_Oplus( tc_Nat_Onat, X, Z ) ) }.
% 0.94/1.55 { ! c_Orderings_Oord__class_Oless__eq( tc_Nat_Onat, Y, X ),
% 0.94/1.55 c_Orderings_Oord__class_Oless__eq( tc_Nat_Onat, Y,
% 0.94/1.55 c_Groups_Oplus__class_Oplus( tc_Nat_Onat, Z, X ) ) }.
% 0.94/1.55 { ! c_Orderings_Oord__class_Oless__eq( tc_Nat_Onat, Y, X ),
% 0.94/1.55 c_Orderings_Oord__class_Oless__eq( tc_Nat_Onat,
% 0.94/1.55 c_Groups_Oplus__class_Oplus( tc_Nat_Onat, Y, Z ),
% 0.94/1.55 c_Groups_Oplus__class_Oplus( tc_Nat_Onat, X, Z ) ) }.
% 0.94/1.55 { ! c_Orderings_Oord__class_Oless__eq( tc_Nat_Onat, Y, X ), !
% 0.94/1.55 c_Orderings_Oord__class_Oless__eq( tc_Nat_Onat, T, Z ),
% 0.94/1.55 c_Orderings_Oord__class_Oless__eq( tc_Nat_Onat,
% 0.94/1.55 c_Groups_Oplus__class_Oplus( tc_Nat_Onat, Y, T ),
% 0.94/1.55 c_Groups_Oplus__class_Oplus( tc_Nat_Onat, X, Z ) ) }.
% 0.94/1.55 { ! c_Orderings_Oord__class_Oless__eq( tc_Nat_Onat,
% 0.94/1.55 c_Groups_Oplus__class_Oplus( tc_Nat_Onat, Z, Y ), X ),
% 0.94/1.55 c_Orderings_Oord__class_Oless__eq( tc_Nat_Onat, Y, X ) }.
% 0.94/1.55 { ! c_Orderings_Oord__class_Oless__eq( tc_Nat_Onat,
% 0.94/1.55 c_Groups_Oplus__class_Oplus( tc_Nat_Onat, Y, Z ), X ),
% 0.94/1.55 c_Orderings_Oord__class_Oless__eq( tc_Nat_Onat, Y, X ) }.
% 0.94/1.55 { ! c_Orderings_Oord__class_Oless__eq( tc_Nat_Onat,
% 0.94/1.55 c_Groups_Oplus__class_Oplus( tc_Nat_Onat, Z, Y ), X ),
% 0.94/1.55 c_Orderings_Oord__class_Oless__eq( tc_Nat_Onat, Z, X ) }.
% 0.94/1.55 { ! c_Orderings_Oord__class_Oless__eq( tc_Nat_Onat,
% 0.94/1.55 c_Groups_Oplus__class_Oplus( tc_Nat_Onat, Z, Y ), X ),
% 0.94/1.55 c_Orderings_Oord__class_Oless__eq( tc_Nat_Onat, Y, X ) }.
% 0.94/1.55 { c_Groups_Oplus__class_Oplus( tc_Nat_Onat, Y, X ) =
% 0.94/1.55 c_Groups_Oplus__class_Oplus( tc_Nat_Onat, X, Y ) }.
% 0.94/1.55 { c_Groups_Oplus__class_Oplus( tc_Nat_Onat, Z, c_Groups_Oplus__class_Oplus
% 0.94/1.55 ( tc_Nat_Onat, Y, X ) ) = c_Groups_Oplus__class_Oplus( tc_Nat_Onat, Y,
% 0.94/1.55 c_Groups_Oplus__class_Oplus( tc_Nat_Onat, Z, X ) ) }.
% 0.94/1.55 { c_Groups_Oplus__class_Oplus( tc_Nat_Onat, c_Groups_Oplus__class_Oplus(
% 0.94/1.55 tc_Nat_Onat, Z, Y ), X ) = c_Groups_Oplus__class_Oplus( tc_Nat_Onat, Z,
% 0.94/1.55 c_Groups_Oplus__class_Oplus( tc_Nat_Onat, Y, X ) ) }.
% 0.94/1.55 { ! c_Groups_Oplus__class_Oplus( tc_Nat_Onat, Z, Y ) =
% 0.94/1.55 c_Groups_Oplus__class_Oplus( tc_Nat_Onat, Z, X ), Y = X }.
% 0.94/1.55 { ! Y = X, c_Groups_Oplus__class_Oplus( tc_Nat_Onat, Z, Y ) =
% 0.94/1.55 c_Groups_Oplus__class_Oplus( tc_Nat_Onat, Z, X ) }.
% 0.94/1.55 { ! c_Groups_Oplus__class_Oplus( tc_Nat_Onat, Z, Y ) =
% 0.94/1.55 c_Groups_Oplus__class_Oplus( tc_Nat_Onat, X, Y ), Z = X }.
% 0.94/1.55 { ! Z = X, c_Groups_Oplus__class_Oplus( tc_Nat_Onat, Z, Y ) =
% 0.94/1.55 c_Groups_Oplus__class_Oplus( tc_Nat_Onat, X, Y ) }.
% 0.94/1.55 { c_RealDef_Oreal( tc_Nat_Onat, c_Groups_Oplus__class_Oplus( tc_Nat_Onat, Y
% 0.94/1.55 , X ) ) = c_Groups_Oplus__class_Oplus( tc_RealDef_Oreal, c_RealDef_Oreal
% 0.94/1.55 ( tc_Nat_Onat, Y ), c_RealDef_Oreal( tc_Nat_Onat, X ) ) }.
% 0.94/1.55 { ! c_Groups_Oplus__class_Oplus( tc_Nat_Onat, Y, X ) = Y, X =
% 0.94/1.55 c_Groups_Ozero__class_Ozero( tc_Nat_Onat ) }.
% 0.94/1.55 { ! c_Groups_Oplus__class_Oplus( tc_Nat_Onat, Y, X ) =
% 0.94/1.55 c_Groups_Ozero__class_Ozero( tc_Nat_Onat ), Y =
% 0.94/1.55 c_Groups_Ozero__class_Ozero( tc_Nat_Onat ) }.
% 0.94/1.55 { ! c_Groups_Oplus__class_Oplus( tc_Nat_Onat, Y, X ) =
% 0.94/1.55 c_Groups_Ozero__class_Ozero( tc_Nat_Onat ), X =
% 0.94/1.55 c_Groups_Ozero__class_Ozero( tc_Nat_Onat ) }.
% 0.94/1.55 { ! Y = c_Groups_Ozero__class_Ozero( tc_Nat_Onat ), ! X =
% 0.94/1.55 c_Groups_Ozero__class_Ozero( tc_Nat_Onat ), c_Groups_Oplus__class_Oplus(
% 0.94/1.55 tc_Nat_Onat, Y, X ) = c_Groups_Ozero__class_Ozero( tc_Nat_Onat ) }.
% 0.94/1.55 { c_Groups_Oplus__class_Oplus( tc_Nat_Onat, X, c_Groups_Ozero__class_Ozero
% 0.94/1.55 ( tc_Nat_Onat ) ) = X }.
% 0.94/1.55 { c_Groups_Oplus__class_Oplus( tc_Nat_Onat, c_Groups_Ozero__class_Ozero(
% 0.94/1.55 tc_Nat_Onat ), X ) = X }.
% 0.94/1.55 { ! class_Groups_Omonoid__add( X ), c_Groups_Oplus__class_Oplus( X,
% 0.94/1.55 c_Groups_Ozero__class_Ozero( X ), Y ) = Y }.
% 0.94/1.55 { ! class_Groups_Ocomm__monoid__add( X ), c_Groups_Oplus__class_Oplus( X,
% 0.94/1.55 c_Groups_Ozero__class_Ozero( X ), Y ) = Y }.
% 0.94/1.55 { ! class_Groups_Olinordered__ab__group__add( X ), !
% 0.94/1.55 c_Groups_Ozero__class_Ozero( X ) = c_Groups_Oplus__class_Oplus( X, Y, Y )
% 0.94/1.55 , Y = c_Groups_Ozero__class_Ozero( X ) }.
% 0.94/1.55 { ! class_Groups_Olinordered__ab__group__add( X ), ! Y =
% 0.94/1.55 c_Groups_Ozero__class_Ozero( X ), c_Groups_Ozero__class_Ozero( X ) =
% 0.94/1.55 c_Groups_Oplus__class_Oplus( X, Y, Y ) }.
% 0.94/1.55 { ! class_Groups_Omonoid__add( X ), c_Groups_Oplus__class_Oplus( X, Y,
% 0.94/1.55 c_Groups_Ozero__class_Ozero( X ) ) = Y }.
% 0.94/1.55 { ! class_Groups_Ocomm__monoid__add( X ), c_Groups_Oplus__class_Oplus( X, Y
% 0.94/1.55 , c_Groups_Ozero__class_Ozero( X ) ) = Y }.
% 0.94/1.55 { ! c_Orderings_Oord__class_Oless__eq( tc_RealDef_Oreal,
% 0.94/1.55 c_Groups_Ozero__class_Ozero( tc_RealDef_Oreal ), X ),
% 0.94/1.55 c_RComplete_Onatceiling( c_Groups_Oplus__class_Oplus( tc_RealDef_Oreal, X
% 0.94/1.55 , c_RealDef_Oreal( tc_Nat_Onat, Y ) ) ) = c_Groups_Oplus__class_Oplus(
% 0.94/1.55 tc_Nat_Onat, c_RComplete_Onatceiling( X ), Y ) }.
% 0.94/1.55 { ! c_Orderings_Oord__class_Oless__eq( tc_RealDef_Oreal,
% 0.94/1.55 c_Groups_Ozero__class_Ozero( tc_RealDef_Oreal ), X ),
% 0.94/1.55 c_RComplete_Onatfloor( c_Groups_Oplus__class_Oplus( tc_RealDef_Oreal, X,
% 0.94/1.55 c_RealDef_Oreal( tc_Nat_Onat, Y ) ) ) = c_Groups_Oplus__class_Oplus(
% 0.94/1.55 tc_Nat_Onat, c_RComplete_Onatfloor( X ), Y ) }.
% 0.94/1.55 { ! class_Groups_Oordered__cancel__ab__semigroup__add( X ), !
% 0.94/1.55 c_Orderings_Oord__class_Oless__eq( X, Z, Y ), !
% 0.94/1.55 c_Orderings_Oord__class_Oless( X, U, T ), c_Orderings_Oord__class_Oless(
% 0.94/1.55 X, c_Groups_Oplus__class_Oplus( X, Z, U ), c_Groups_Oplus__class_Oplus( X
% 0.94/1.55 , Y, T ) ) }.
% 0.94/1.55 { ! class_Groups_Oordered__cancel__ab__semigroup__add( X ), !
% 0.94/1.55 c_Orderings_Oord__class_Oless( X, Z, Y ), !
% 0.94/1.55 c_Orderings_Oord__class_Oless__eq( X, U, T ),
% 0.94/1.55 c_Orderings_Oord__class_Oless( X, c_Groups_Oplus__class_Oplus( X, Z, U )
% 0.94/1.55 , c_Groups_Oplus__class_Oplus( X, Y, T ) ) }.
% 0.94/1.55 { ! class_Groups_Olinordered__ab__group__add( X ), !
% 0.94/1.55 c_Orderings_Oord__class_Oless( X, c_Groups_Ozero__class_Ozero( X ),
% 0.94/1.55 c_Groups_Oplus__class_Oplus( X, Y, Y ) ), c_Orderings_Oord__class_Oless(
% 0.94/1.55 X, c_Groups_Ozero__class_Ozero( X ), Y ) }.
% 0.94/1.55 { ! class_Groups_Olinordered__ab__group__add( X ), !
% 0.94/1.55 c_Orderings_Oord__class_Oless( X, c_Groups_Ozero__class_Ozero( X ), Y ),
% 0.94/1.55 c_Orderings_Oord__class_Oless( X, c_Groups_Ozero__class_Ozero( X ),
% 0.94/1.55 c_Groups_Oplus__class_Oplus( X, Y, Y ) ) }.
% 0.94/1.55 { ! class_Groups_Olinordered__ab__group__add( X ), !
% 0.94/1.55 c_Orderings_Oord__class_Oless( X, c_Groups_Oplus__class_Oplus( X, Y, Y )
% 0.94/1.55 , c_Groups_Ozero__class_Ozero( X ) ), c_Orderings_Oord__class_Oless( X, Y
% 0.94/1.55 , c_Groups_Ozero__class_Ozero( X ) ) }.
% 0.94/1.55 { ! class_Groups_Olinordered__ab__group__add( X ), !
% 0.94/1.55 c_Orderings_Oord__class_Oless( X, Y, c_Groups_Ozero__class_Ozero( X ) ),
% 0.94/1.55 c_Orderings_Oord__class_Oless( X, c_Groups_Oplus__class_Oplus( X, Y, Y )
% 0.94/1.55 , c_Groups_Ozero__class_Ozero( X ) ) }.
% 0.94/1.55 { ! class_Groups_Oordered__comm__monoid__add( X ), !
% 0.94/1.55 c_Orderings_Oord__class_Oless( X, c_Groups_Ozero__class_Ozero( X ), Y ),
% 0.94/1.55 ! c_Orderings_Oord__class_Oless( X, c_Groups_Ozero__class_Ozero( X ), Z )
% 0.94/1.55 , c_Orderings_Oord__class_Oless( X, c_Groups_Ozero__class_Ozero( X ),
% 0.94/1.55 c_Groups_Oplus__class_Oplus( X, Y, Z ) ) }.
% 0.94/1.55 { ! class_Groups_Oordered__comm__monoid__add( X ), !
% 0.94/1.55 c_Orderings_Oord__class_Oless( X, Y, c_Groups_Ozero__class_Ozero( X ) ),
% 0.94/1.55 ! c_Orderings_Oord__class_Oless( X, Z, c_Groups_Ozero__class_Ozero( X ) )
% 0.94/1.55 , c_Orderings_Oord__class_Oless( X, c_Groups_Oplus__class_Oplus( X, Y, Z
% 0.94/1.55 ), c_Groups_Ozero__class_Ozero( X ) ) }.
% 0.94/1.55 { ! class_Rings_Olinordered__semidom( X ), ! c_Orderings_Oord__class_Oless
% 0.94/1.55 ( X, c_Groups_Ozero__class_Ozero( X ), Y ), !
% 0.94/1.55 c_Orderings_Oord__class_Oless( X, T, Z ), c_Orderings_Oord__class_Oless(
% 0.94/1.55 X, T, c_Groups_Oplus__class_Oplus( X, Y, Z ) ) }.
% 0.94/1.55 { ! class_Groups_Oordered__comm__monoid__add( X ), !
% 0.94/1.55 c_Orderings_Oord__class_Oless__eq( X, Y, c_Groups_Ozero__class_Ozero( X )
% 0.94/1.55 ), ! c_Orderings_Oord__class_Oless__eq( X, Z,
% 0.94/1.55 c_Groups_Ozero__class_Ozero( X ) ), c_Orderings_Oord__class_Oless__eq( X
% 0.94/1.55 , c_Groups_Oplus__class_Oplus( X, Y, Z ), c_Groups_Ozero__class_Ozero( X
% 0.94/1.55 ) ) }.
% 0.94/1.55 { ! class_Groups_Oordered__comm__monoid__add( X ), !
% 0.94/1.55 c_Orderings_Oord__class_Oless__eq( X, c_Groups_Ozero__class_Ozero( X ), Y
% 0.94/1.55 ), ! c_Orderings_Oord__class_Oless__eq( X, T, Z ),
% 0.94/1.55 c_Orderings_Oord__class_Oless__eq( X, T, c_Groups_Oplus__class_Oplus( X,
% 0.94/1.55 Z, Y ) ) }.
% 0.94/1.55 { ! class_Groups_Oordered__comm__monoid__add( X ), !
% 0.94/1.55 c_Orderings_Oord__class_Oless__eq( X, c_Groups_Ozero__class_Ozero( X ), Y
% 0.94/1.55 ), ! c_Orderings_Oord__class_Oless__eq( X, T, Z ),
% 0.94/1.55 c_Orderings_Oord__class_Oless__eq( X, T, c_Groups_Oplus__class_Oplus( X,
% 0.94/1.55 Y, Z ) ) }.
% 0.94/1.55 { ! class_Groups_Oordered__comm__monoid__add( X ), !
% 0.94/1.55 c_Orderings_Oord__class_Oless__eq( X, c_Groups_Ozero__class_Ozero( X ), Y
% 0.94/1.55 ), ! c_Orderings_Oord__class_Oless__eq( X, c_Groups_Ozero__class_Ozero(
% 0.94/1.55 X ), Z ), ! c_Groups_Oplus__class_Oplus( X, Y, Z ) =
% 0.94/1.55 c_Groups_Ozero__class_Ozero( X ), Y = c_Groups_Ozero__class_Ozero( X ) }
% 0.94/1.55 .
% 0.94/1.55 { ! class_Groups_Oordered__comm__monoid__add( X ), !
% 0.94/1.55 c_Orderings_Oord__class_Oless__eq( X, c_Groups_Ozero__class_Ozero( X ), Y
% 0.94/1.55 ), ! c_Orderings_Oord__class_Oless__eq( X, c_Groups_Ozero__class_Ozero(
% 0.94/1.55 X ), Z ), ! c_Groups_Oplus__class_Oplus( X, Y, Z ) =
% 0.94/1.55 c_Groups_Ozero__class_Ozero( X ), Z = c_Groups_Ozero__class_Ozero( X ) }
% 0.94/1.55 .
% 0.94/1.55 { ! class_Groups_Oordered__comm__monoid__add( X ), !
% 0.94/1.55 c_Orderings_Oord__class_Oless__eq( X, c_Groups_Ozero__class_Ozero( X ), Y
% 0.94/1.55 ), ! c_Orderings_Oord__class_Oless__eq( X, c_Groups_Ozero__class_Ozero(
% 0.94/1.55 X ), Z ), ! Y = c_Groups_Ozero__class_Ozero( X ), ! Z =
% 0.94/1.55 c_Groups_Ozero__class_Ozero( X ), c_Groups_Oplus__class_Oplus( X, Y, Z )
% 0.94/1.55 = c_Groups_Ozero__class_Ozero( X ) }.
% 0.94/1.55 { ! class_Groups_Oordered__comm__monoid__add( X ), !
% 0.94/1.55 c_Orderings_Oord__class_Oless__eq( X, c_Groups_Ozero__class_Ozero( X ), Y
% 0.94/1.55 ), ! c_Orderings_Oord__class_Oless__eq( X, c_Groups_Ozero__class_Ozero(
% 0.94/1.55 X ), Z ), c_Orderings_Oord__class_Oless__eq( X,
% 0.94/1.55 c_Groups_Ozero__class_Ozero( X ), c_Groups_Oplus__class_Oplus( X, Y, Z )
% 0.94/1.55 ) }.
% 0.94/1.55 { ! class_Groups_Olinordered__ab__group__add( X ), !
% 0.94/1.55 c_Orderings_Oord__class_Oless__eq( X, c_Groups_Oplus__class_Oplus( X, Y,
% 0.94/1.55 Y ), c_Groups_Ozero__class_Ozero( X ) ),
% 0.94/1.55 c_Orderings_Oord__class_Oless__eq( X, Y, c_Groups_Ozero__class_Ozero( X )
% 0.94/1.55 ) }.
% 0.94/1.55 { ! class_Groups_Olinordered__ab__group__add( X ), !
% 0.94/1.55 c_Orderings_Oord__class_Oless__eq( X, Y, c_Groups_Ozero__class_Ozero( X )
% 0.94/1.55 ), c_Orderings_Oord__class_Oless__eq( X, c_Groups_Oplus__class_Oplus( X
% 0.94/1.55 , Y, Y ), c_Groups_Ozero__class_Ozero( X ) ) }.
% 0.94/1.55 { ! class_Groups_Olinordered__ab__group__add( X ), !
% 0.94/1.55 c_Orderings_Oord__class_Oless__eq( X, c_Groups_Ozero__class_Ozero( X ),
% 0.94/1.55 c_Groups_Oplus__class_Oplus( X, Y, Y ) ),
% 0.94/1.55 c_Orderings_Oord__class_Oless__eq( X, c_Groups_Ozero__class_Ozero( X ), Y
% 0.94/1.55 ) }.
% 0.94/1.55 { ! class_Groups_Olinordered__ab__group__add( X ), !
% 0.94/1.55 c_Orderings_Oord__class_Oless__eq( X, c_Groups_Ozero__class_Ozero( X ), Y
% 0.94/1.55 ), c_Orderings_Oord__class_Oless__eq( X, c_Groups_Ozero__class_Ozero( X
% 0.94/1.55 ), c_Groups_Oplus__class_Oplus( X, Y, Y ) ) }.
% 0.94/1.55 { c_Groups_Ominus__class_Ominus( tc_Nat_Onat, c_Groups_Oplus__class_Oplus(
% 0.94/1.55 tc_Nat_Onat, Y, X ), X ) = Y }.
% 0.94/1.55 { c_Groups_Ominus__class_Ominus( tc_Nat_Onat, c_Groups_Oplus__class_Oplus(
% 0.94/1.55 tc_Nat_Onat, Y, X ), Y ) = X }.
% 0.94/1.55 { c_Groups_Ominus__class_Ominus( tc_Nat_Onat, c_Groups_Ominus__class_Ominus
% 0.94/1.55 ( tc_Nat_Onat, Z, Y ), X ) = c_Groups_Ominus__class_Ominus( tc_Nat_Onat,
% 0.94/1.55 Z, c_Groups_Oplus__class_Oplus( tc_Nat_Onat, Y, X ) ) }.
% 0.94/1.55 { c_Groups_Ominus__class_Ominus( tc_Nat_Onat, c_Groups_Oplus__class_Oplus(
% 0.94/1.55 tc_Nat_Onat, Z, Y ), c_Groups_Oplus__class_Oplus( tc_Nat_Onat, Z, X ) ) =
% 0.94/1.55 c_Groups_Ominus__class_Ominus( tc_Nat_Onat, Y, X ) }.
% 0.94/1.55 { c_Groups_Ominus__class_Ominus( tc_Nat_Onat, c_Groups_Oplus__class_Oplus(
% 0.94/1.55 tc_Nat_Onat, Z, Y ), c_Groups_Oplus__class_Oplus( tc_Nat_Onat, X, Y ) ) =
% 0.94/1.55 c_Groups_Ominus__class_Ominus( tc_Nat_Onat, Z, X ) }.
% 0.94/1.55 { ! class_Groups_Ogroup__add( X ), c_Groups_Ominus__class_Ominus( X,
% 0.94/1.55 c_Groups_Oplus__class_Oplus( X, Z, Y ), Y ) = Z }.
% 0.94/1.55 { ! class_Groups_Ogroup__add( X ), c_Groups_Oplus__class_Oplus( X,
% 0.94/1.55 c_Groups_Ominus__class_Ominus( X, Z, Y ), Y ) = Z }.
% 0.94/1.55 { ! class_Groups_Oab__group__add( X ), c_Groups_Ominus__class_Ominus( X,
% 0.94/1.55 c_Groups_Oplus__class_Oplus( X, U, T ), c_Groups_Oplus__class_Oplus( X, Z
% 0.94/1.55 , Y ) ) = c_Groups_Oplus__class_Oplus( X, c_Groups_Ominus__class_Ominus(
% 0.94/1.55 X, U, Z ), c_Groups_Ominus__class_Ominus( X, T, Y ) ) }.
% 0.94/1.55 { ! c_Orderings_Oord__class_Oless( tc_Nat_Onat, Z,
% 0.94/1.55 c_Groups_Ominus__class_Ominus( tc_Nat_Onat, Y, X ) ),
% 0.94/1.55 c_Orderings_Oord__class_Oless( tc_Nat_Onat, c_Groups_Oplus__class_Oplus(
% 0.94/1.55 tc_Nat_Onat, Z, X ), Y ) }.
% 0.94/1.55 { ! c_Orderings_Oord__class_Oless( tc_Nat_Onat, c_Groups_Oplus__class_Oplus
% 0.94/1.55 ( tc_Nat_Onat, Z, X ), Y ), c_Orderings_Oord__class_Oless( tc_Nat_Onat, Z
% 0.94/1.55 , c_Groups_Ominus__class_Ominus( tc_Nat_Onat, Y, X ) ) }.
% 0.94/1.55 { c_Orderings_Oord__class_Oless( tc_Nat_Onat, Y, X ),
% 0.94/1.55 c_Groups_Oplus__class_Oplus( tc_Nat_Onat, X,
% 0.94/1.55 c_Groups_Ominus__class_Ominus( tc_Nat_Onat, Y, X ) ) = Y }.
% 0.94/1.55 { c_Nat_OSuc( X ) = c_Groups_Oplus__class_Oplus( tc_Nat_Onat, X,
% 0.94/1.55 c_Groups_Oone__class_Oone( tc_Nat_Onat ) ) }.
% 0.94/1.55 { c_Nat_OSuc( X ) = c_Groups_Oplus__class_Oplus( tc_Nat_Onat,
% 0.94/1.55 c_Groups_Oone__class_Oone( tc_Nat_Onat ), X ) }.
% 0.94/1.55 { ! c_Orderings_Oord__class_Oless__eq( tc_Nat_Onat, Y, X ),
% 0.94/1.55 c_Groups_Ominus__class_Ominus( tc_Nat_Onat, Z,
% 0.94/1.55 c_Groups_Ominus__class_Ominus( tc_Nat_Onat, X, Y ) ) =
% 0.94/1.55 c_Groups_Ominus__class_Ominus( tc_Nat_Onat, c_Groups_Oplus__class_Oplus(
% 0.94/1.55 tc_Nat_Onat, Z, Y ), X ) }.
% 0.94/1.55 { ! c_Orderings_Oord__class_Oless__eq( tc_Nat_Onat,
% 0.94/1.55 c_Groups_Ominus__class_Ominus( tc_Nat_Onat, Z, Y ), X ),
% 0.94/1.55 c_Orderings_Oord__class_Oless__eq( tc_Nat_Onat, Z,
% 0.94/1.55 c_Groups_Oplus__class_Oplus( tc_Nat_Onat, X, Y ) ) }.
% 0.94/1.55 { ! c_Orderings_Oord__class_Oless__eq( tc_Nat_Onat, Z,
% 0.94/1.55 c_Groups_Oplus__class_Oplus( tc_Nat_Onat, X, Y ) ),
% 0.94/1.55 c_Orderings_Oord__class_Oless__eq( tc_Nat_Onat,
% 0.94/1.55 c_Groups_Ominus__class_Ominus( tc_Nat_Onat, Z, Y ), X ) }.
% 0.94/1.55 { ! c_Orderings_Oord__class_Oless__eq( tc_Nat_Onat, Y, X ),
% 0.94/1.55 c_Orderings_Oord__class_Oless__eq( tc_Nat_Onat, Z,
% 0.94/1.55 c_Groups_Ominus__class_Ominus( tc_Nat_Onat, c_Groups_Oplus__class_Oplus(
% 0.94/1.55 tc_Nat_Onat, X, Z ), Y ) ) }.
% 0.94/1.55 { ! c_Orderings_Oord__class_Oless__eq( tc_Nat_Onat, Y, X ),
% 0.94/1.55 c_Groups_Oplus__class_Oplus( tc_Nat_Onat, Y,
% 0.94/1.55 c_Groups_Ominus__class_Ominus( tc_Nat_Onat, X, Y ) ) = X }.
% 0.94/1.55 { ! c_Orderings_Oord__class_Oless__eq( tc_Nat_Onat, Y, X ),
% 0.94/1.55 c_Groups_Oplus__class_Oplus( tc_Nat_Onat, Z,
% 0.94/1.55 c_Groups_Ominus__class_Ominus( tc_Nat_Onat, X, Y ) ) =
% 0.94/1.55 c_Groups_Ominus__class_Ominus( tc_Nat_Onat, c_Groups_Oplus__class_Oplus(
% 0.94/1.55 tc_Nat_Onat, Z, X ), Y ) }.
% 0.94/1.55 { ! c_Orderings_Oord__class_Oless__eq( tc_Nat_Onat, Y, X ), !
% 0.94/1.55 c_Orderings_Oord__class_Oless__eq( tc_Nat_Onat, Z,
% 0.94/1.55 c_Groups_Ominus__class_Ominus( tc_Nat_Onat, X, Y ) ),
% 0.94/1.55 c_Orderings_Oord__class_Oless__eq( tc_Nat_Onat,
% 0.94/1.55 c_Groups_Oplus__class_Oplus( tc_Nat_Onat, Z, Y ), X ) }.
% 0.94/1.55 { ! c_Orderings_Oord__class_Oless__eq( tc_Nat_Onat, Y, X ), !
% 0.94/1.55 c_Orderings_Oord__class_Oless__eq( tc_Nat_Onat,
% 0.94/1.55 c_Groups_Oplus__class_Oplus( tc_Nat_Onat, Z, Y ), X ),
% 0.94/1.55 c_Orderings_Oord__class_Oless__eq( tc_Nat_Onat, Z,
% 0.94/1.55 c_Groups_Ominus__class_Ominus( tc_Nat_Onat, X, Y ) ) }.
% 0.94/1.55 { ! c_Orderings_Oord__class_Oless__eq( tc_Nat_Onat, Y, X ),
% 0.94/1.55 c_Groups_Oplus__class_Oplus( tc_Nat_Onat, c_Groups_Ominus__class_Ominus(
% 0.94/1.55 tc_Nat_Onat, X, Y ), Y ) = X }.
% 0.94/1.55 { ! c_Orderings_Oord__class_Oless__eq( tc_Nat_Onat, Y, X ), !
% 0.94/1.55 c_Groups_Ominus__class_Ominus( tc_Nat_Onat, X, Y ) = Z, X =
% 0.94/1.55 c_Groups_Oplus__class_Oplus( tc_Nat_Onat, Z, Y ) }.
% 0.94/1.55 { ! c_Orderings_Oord__class_Oless__eq( tc_Nat_Onat, Y, X ), ! X =
% 0.94/1.55 c_Groups_Oplus__class_Oplus( tc_Nat_Onat, Z, Y ),
% 0.94/1.55 c_Groups_Ominus__class_Ominus( tc_Nat_Onat, X, Y ) = Z }.
% 0.94/1.55 { ! c_Orderings_Oord__class_Oless__eq( tc_Nat_Onat, Y, X ),
% 0.94/1.55 c_Groups_Ominus__class_Ominus( tc_Nat_Onat, c_Groups_Oplus__class_Oplus(
% 0.94/1.55 tc_Nat_Onat, Z, X ), Y ) = c_Groups_Oplus__class_Oplus( tc_Nat_Onat, Z,
% 0.94/1.55 c_Groups_Ominus__class_Ominus( tc_Nat_Onat, X, Y ) ) }.
% 0.94/1.55 { ! c_Orderings_Oord__class_Oless__eq( tc_Nat_Onat, Y, X ),
% 0.94/1.55 c_Groups_Oplus__class_Oplus( tc_Nat_Onat, c_Groups_Ominus__class_Ominus(
% 0.94/1.55 tc_Nat_Onat, X, Y ), Z ) = c_Groups_Ominus__class_Ominus( tc_Nat_Onat,
% 0.94/1.55 c_Groups_Oplus__class_Oplus( tc_Nat_Onat, X, Z ), Y ) }.
% 0.94/1.55 { ! c_Orderings_Oord__class_Oless__eq( tc_Nat_Onat, Y, X ),
% 0.94/1.55 c_Groups_Ominus__class_Ominus( tc_Nat_Onat, c_Groups_Oplus__class_Oplus(
% 0.94/1.55 tc_Nat_Onat, X, Z ), Y ) = c_Groups_Oplus__class_Oplus( tc_Nat_Onat,
% 0.94/1.55 c_Groups_Ominus__class_Ominus( tc_Nat_Onat, X, Y ), Z ) }.
% 0.94/1.55 { ! class_Rings_Osemiring__1( X ), ! c_member( X, Y,
% 0.94/1.55 c_Nat_Osemiring__1__class_ONats( X ) ), ! c_member( X, Z,
% 0.94/1.55 c_Nat_Osemiring__1__class_ONats( X ) ), c_member( X,
% 0.94/1.55 c_Groups_Oplus__class_Oplus( X, Y, Z ), c_Nat_Osemiring__1__class_ONats(
% 0.94/1.55 X ) ) }.
% 0.94/1.55 { ! c_Orderings_Oord__class_Oless__eq( tc_RealDef_Oreal,
% 0.94/1.55 c_Groups_Ozero__class_Ozero( tc_RealDef_Oreal ), X ),
% 0.94/1.55 c_RComplete_Onatfloor( c_Groups_Oplus__class_Oplus( tc_RealDef_Oreal, X,
% 0.94/1.55 c_Groups_Oone__class_Oone( tc_RealDef_Oreal ) ) ) =
% 0.94/1.55 c_Groups_Oplus__class_Oplus( tc_Nat_Onat, c_RComplete_Onatfloor( X ),
% 0.94/1.55 c_Groups_Oone__class_Oone( tc_Nat_Onat ) ) }.
% 0.94/1.55 { ! c_Orderings_Oord__class_Oless__eq( tc_RealDef_Oreal,
% 0.94/1.55 c_Groups_Ozero__class_Ozero( tc_RealDef_Oreal ), X ),
% 0.94/1.55 c_RComplete_Onatceiling( c_Groups_Oplus__class_Oplus( tc_RealDef_Oreal, X
% 0.94/1.55 , c_Groups_Oone__class_Oone( tc_RealDef_Oreal ) ) ) =
% 0.94/1.55 c_Groups_Oplus__class_Oplus( tc_Nat_Onat, c_RComplete_Onatceiling( X ),
% 0.94/1.55 c_Groups_Oone__class_Oone( tc_Nat_Onat ) ) }.
% 0.94/1.55 { ! class_Groups_Oordered__comm__monoid__add( X ), !
% 0.94/1.55 c_Orderings_Oord__class_Oless( X, c_Groups_Ozero__class_Ozero( X ), Y ),
% 0.94/1.55 ! c_Orderings_Oord__class_Oless__eq( X, c_Groups_Ozero__class_Ozero( X )
% 0.94/1.55 , Z ), c_Orderings_Oord__class_Oless( X, c_Groups_Ozero__class_Ozero( X )
% 0.94/1.55 , c_Groups_Oplus__class_Oplus( X, Y, Z ) ) }.
% 0.94/1.55 { ! class_Groups_Oordered__comm__monoid__add( X ), !
% 0.94/1.55 c_Orderings_Oord__class_Oless__eq( X, c_Groups_Ozero__class_Ozero( X ), Y
% 0.94/1.55 ), ! c_Orderings_Oord__class_Oless( X, c_Groups_Ozero__class_Ozero( X )
% 0.94/1.55 , Z ), c_Orderings_Oord__class_Oless( X, c_Groups_Ozero__class_Ozero( X )
% 0.94/1.55 , c_Groups_Oplus__class_Oplus( X, Y, Z ) ) }.
% 0.94/1.55 { ! class_Groups_Oordered__comm__monoid__add( X ), !
% 0.94/1.55 c_Orderings_Oord__class_Oless( X, c_Groups_Ozero__class_Ozero( X ), Y ),
% 0.94/1.55 ! c_Orderings_Oord__class_Oless__eq( X, T, Z ),
% 0.94/1.55 c_Orderings_Oord__class_Oless( X, T, c_Groups_Oplus__class_Oplus( X, Y, Z
% 0.94/1.55 ) ) }.
% 0.94/1.55 { ! class_Groups_Oordered__comm__monoid__add( X ), !
% 0.94/1.55 c_Orderings_Oord__class_Oless__eq( X, c_Groups_Ozero__class_Ozero( X ), Y
% 0.94/1.55 ), ! c_Orderings_Oord__class_Oless( X, T, Z ),
% 0.94/1.55 c_Orderings_Oord__class_Oless( X, T, c_Groups_Oplus__class_Oplus( X, Y, Z
% 0.94/1.55 ) ) }.
% 0.94/1.55 { ! class_Groups_Oordered__comm__monoid__add( X ), !
% 0.94/1.55 c_Orderings_Oord__class_Oless( X, Y, c_Groups_Ozero__class_Ozero( X ) ),
% 0.94/1.55 ! c_Orderings_Oord__class_Oless__eq( X, Z, c_Groups_Ozero__class_Ozero( X
% 0.94/1.55 ) ), c_Orderings_Oord__class_Oless( X, c_Groups_Oplus__class_Oplus( X, Y
% 0.94/1.55 , Z ), c_Groups_Ozero__class_Ozero( X ) ) }.
% 0.94/1.55 { ! class_Groups_Oordered__comm__monoid__add( X ), !
% 0.94/1.55 c_Orderings_Oord__class_Oless__eq( X, Y, c_Groups_Ozero__class_Ozero( X )
% 0.94/1.55 ), ! c_Orderings_Oord__class_Oless( X, Z, c_Groups_Ozero__class_Ozero( X
% 0.94/1.55 ) ), c_Orderings_Oord__class_Oless( X, c_Groups_Oplus__class_Oplus( X, Y
% 0.94/1.55 , Z ), c_Groups_Ozero__class_Ozero( X ) ) }.
% 0.94/1.55 { ! class_Rings_Olinordered__semidom( X ), c_Orderings_Oord__class_Oless( X
% 0.94/1.55 , c_Groups_Ozero__class_Ozero( X ), c_Groups_Oplus__class_Oplus( X,
% 0.94/1.55 c_Groups_Oone__class_Oone( X ), c_Groups_Oone__class_Oone( X ) ) ) }.
% 0.94/1.55 { ! c_Orderings_Oord__class_Oless( tc_RealDef_Oreal, c_RealDef_Oreal(
% 0.94/1.55 tc_Nat_Onat, Y ), X ), ! c_Orderings_Oord__class_Oless__eq(
% 0.94/1.55 tc_RealDef_Oreal, X, c_Groups_Oplus__class_Oplus( tc_RealDef_Oreal,
% 0.94/1.55 c_RealDef_Oreal( tc_Nat_Onat, Y ), c_Groups_Oone__class_Oone(
% 0.94/1.55 tc_RealDef_Oreal ) ) ), c_RComplete_Onatceiling( X ) =
% 0.94/1.55 c_Groups_Oplus__class_Oplus( tc_Nat_Onat, Y, c_Groups_Oone__class_Oone(
% 0.94/1.55 tc_Nat_Onat ) ) }.
% 0.94/1.55 { ! hBOOL( hAPP( Z, c_Groups_Ominus__class_Ominus( tc_Nat_Onat, Y, X ) ) )
% 0.94/1.55 , alpha18( X, Y, Z ) }.
% 0.94/1.55 { ! hBOOL( hAPP( Z, c_Groups_Ominus__class_Ominus( tc_Nat_Onat, Y, X ) ) )
% 0.94/1.55 , alpha30( X, Y, Z ) }.
% 0.94/1.55 { ! alpha18( X, Y, Z ), ! alpha30( X, Y, Z ), hBOOL( hAPP( Z,
% 0.94/1.55 c_Groups_Ominus__class_Ominus( tc_Nat_Onat, Y, X ) ) ) }.
% 0.94/1.55 { ! alpha30( X, Y, Z ), ! Y = c_Groups_Oplus__class_Oplus( tc_Nat_Onat, X,
% 0.94/1.55 T ), hBOOL( hAPP( Z, T ) ) }.
% 0.94/1.55 { ! hBOOL( hAPP( Z, skol73( T, U, Z ) ) ), alpha30( X, Y, Z ) }.
% 0.94/1.55 { Y = c_Groups_Oplus__class_Oplus( tc_Nat_Onat, X, skol73( X, Y, Z ) ),
% 0.94/1.55 alpha30( X, Y, Z ) }.
% 0.94/1.55 { ! alpha18( X, Y, Z ), ! c_Orderings_Oord__class_Oless( tc_Nat_Onat, Y, X
% 0.94/1.55 ), hBOOL( hAPP( Z, c_Groups_Ozero__class_Ozero( tc_Nat_Onat ) ) ) }.
% 0.94/1.55 { c_Orderings_Oord__class_Oless( tc_Nat_Onat, Y, X ), alpha18( X, Y, Z ) }
% 0.94/1.55 .
% 0.94/1.55 { ! hBOOL( hAPP( Z, c_Groups_Ozero__class_Ozero( tc_Nat_Onat ) ) ), alpha18
% 0.94/1.55 ( X, Y, Z ) }.
% 0.94/1.55 { ! hBOOL( hAPP( Z, c_Groups_Ominus__class_Ominus( tc_Nat_Onat, Y, X ) ) )
% 0.94/1.55 , ! alpha19( X, Y, Z ) }.
% 0.94/1.55 { ! hBOOL( hAPP( Z, c_Groups_Ominus__class_Ominus( tc_Nat_Onat, Y, X ) ) )
% 0.94/1.55 , ! alpha31( X, Y, Z ) }.
% 0.94/1.55 { alpha19( X, Y, Z ), alpha31( X, Y, Z ), hBOOL( hAPP( Z,
% 0.94/1.55 c_Groups_Ominus__class_Ominus( tc_Nat_Onat, Y, X ) ) ) }.
% 0.94/1.55 { ! alpha31( X, Y, Z ), ! hBOOL( hAPP( Z, skol74( T, U, Z ) ) ) }.
% 0.94/1.55 { ! alpha31( X, Y, Z ), Y = c_Groups_Oplus__class_Oplus( tc_Nat_Onat, X,
% 0.94/1.55 skol74( X, Y, Z ) ) }.
% 0.94/1.55 { ! Y = c_Groups_Oplus__class_Oplus( tc_Nat_Onat, X, T ), hBOOL( hAPP( Z, T
% 0.94/1.55 ) ), alpha31( X, Y, Z ) }.
% 0.94/1.55 { ! alpha19( X, Y, Z ), c_Orderings_Oord__class_Oless( tc_Nat_Onat, Y, X )
% 0.94/1.55 }.
% 0.94/1.55 { ! alpha19( X, Y, Z ), ! hBOOL( hAPP( Z, c_Groups_Ozero__class_Ozero(
% 0.94/1.55 tc_Nat_Onat ) ) ) }.
% 0.94/1.55 { ! c_Orderings_Oord__class_Oless( tc_Nat_Onat, Y, X ), hBOOL( hAPP( Z,
% 0.94/1.55 c_Groups_Ozero__class_Ozero( tc_Nat_Onat ) ) ), alpha19( X, Y, Z ) }.
% 0.94/1.55 { ! c_Orderings_Oord__class_Oless__eq( tc_Nat_Onat, Y, X ),
% 0.94/1.55 c_Groups_Ominus__class_Ominus( tc_Nat_Onat, c_Nat_OSuc(
% 0.94/1.55 c_Groups_Ominus__class_Ominus( tc_Nat_Onat, X, Y ) ), Z ) =
% 0.94/1.55 c_Groups_Ominus__class_Ominus( tc_Nat_Onat, c_Nat_OSuc( X ),
% 0.94/1.55 c_Groups_Oplus__class_Oplus( tc_Nat_Onat, Y, Z ) ) }.
% 0.94/1.55 { ! c_Orderings_Oord__class_Oless__eq( tc_Nat_Onat, Y, X ),
% 0.94/1.55 c_Groups_Ominus__class_Ominus( tc_Nat_Onat, Z, c_Nat_OSuc(
% 0.94/1.55 c_Groups_Ominus__class_Ominus( tc_Nat_Onat, X, Y ) ) ) =
% 0.94/1.55 c_Groups_Ominus__class_Ominus( tc_Nat_Onat, c_Groups_Oplus__class_Oplus(
% 0.94/1.55 tc_Nat_Onat, Z, Y ), c_Nat_OSuc( X ) ) }.
% 0.94/1.55 { c_RealDef_Oreal( tc_Nat_Onat, c_Nat_OSuc( X ) ) =
% 0.94/1.55 c_Groups_Oplus__class_Oplus( tc_RealDef_Oreal, c_RealDef_Oreal(
% 0.94/1.55 tc_Nat_Onat, X ), c_Groups_Oone__class_Oone( tc_RealDef_Oreal ) ) }.
% 0.94/1.55 { ! c_Orderings_Oord__class_Oless__eq( tc_Nat_Onat, Y, X ),
% 0.94/1.55 c_SetInterval_Oord__class_OatLeastLessThan( tc_Nat_Onat, Y,
% 0.94/1.55 c_Groups_Oplus__class_Oplus( tc_Nat_Onat, X, Z ) ) =
% 0.94/1.55 c_Lattices_Osemilattice__sup__class_Osup( tc_fun( tc_Nat_Onat,
% 0.94/1.55 tc_HOL_Obool ), c_SetInterval_Oord__class_OatLeastLessThan( tc_Nat_Onat,
% 0.94/1.55 Y, X ), c_SetInterval_Oord__class_OatLeastLessThan( tc_Nat_Onat, X,
% 0.94/1.55 c_Groups_Oplus__class_Oplus( tc_Nat_Onat, X, Z ) ) ) }.
% 0.94/1.55 { ! c_Orderings_Oord__class_Oless( tc_Nat_Onat, Y, X ),
% 0.94/1.55 c_Orderings_Oord__class_Oless__eq( tc_RealDef_Oreal,
% 0.94/1.55 c_Groups_Oplus__class_Oplus( tc_RealDef_Oreal, c_RealDef_Oreal(
% 0.94/1.55 tc_Nat_Onat, Y ), c_Groups_Oone__class_Oone( tc_RealDef_Oreal ) ),
% 0.94/1.55 c_RealDef_Oreal( tc_Nat_Onat, X ) ) }.
% 0.94/1.55 { ! c_Orderings_Oord__class_Oless__eq( tc_RealDef_Oreal,
% 0.94/1.55 c_Groups_Oplus__class_Oplus( tc_RealDef_Oreal, c_RealDef_Oreal(
% 0.94/1.55 tc_Nat_Onat, Y ), c_Groups_Oone__class_Oone( tc_RealDef_Oreal ) ),
% 0.94/1.55 c_RealDef_Oreal( tc_Nat_Onat, X ) ), c_Orderings_Oord__class_Oless(
% 0.94/1.55 tc_Nat_Onat, Y, X ) }.
% 0.94/1.55 { ! Y = c_Groups_Ozero__class_Ozero( tc_Nat_Onat ),
% 0.94/1.55 c_Groups_Oplus__class_Oplus( tc_Nat_Onat, Y, X ) = X }.
% 0.94/1.55 { Y = c_Groups_Ozero__class_Ozero( tc_Nat_Onat ),
% 0.94/1.55 c_Groups_Oplus__class_Oplus( tc_Nat_Onat, Y, X ) = c_Nat_OSuc(
% 0.94/1.55 c_Groups_Oplus__class_Oplus( tc_Nat_Onat, c_Groups_Ominus__class_Ominus(
% 0.94/1.55 tc_Nat_Onat, Y, c_Groups_Oone__class_Oone( tc_Nat_Onat ) ), X ) ) }.
% 0.94/1.55 { ! c_Orderings_Oord__class_Oless__eq( tc_Nat_Onat, Y, X ),
% 0.94/1.55 c_Orderings_Oord__class_Oless( tc_RealDef_Oreal, c_RealDef_Oreal(
% 0.94/1.55 tc_Nat_Onat, Y ), c_Groups_Oplus__class_Oplus( tc_RealDef_Oreal,
% 0.94/1.55 c_RealDef_Oreal( tc_Nat_Onat, X ), c_Groups_Oone__class_Oone(
% 0.94/1.55 tc_RealDef_Oreal ) ) ) }.
% 0.94/1.55 { ! c_Orderings_Oord__class_Oless( tc_RealDef_Oreal, c_RealDef_Oreal(
% 0.94/1.55 tc_Nat_Onat, Y ), c_Groups_Oplus__class_Oplus( tc_RealDef_Oreal,
% 0.94/1.55 c_RealDef_Oreal( tc_Nat_Onat, X ), c_Groups_Oone__class_Oone(
% 0.94/1.55 tc_RealDef_Oreal ) ) ), c_Orderings_Oord__class_Oless__eq( tc_Nat_Onat, Y
% 0.94/1.55 , X ) }.
% 0.94/1.55 { c_Orderings_Oord__class_Oless( tc_RealDef_Oreal, X,
% 0.94/1.55 c_Groups_Oplus__class_Oplus( tc_RealDef_Oreal, c_RealDef_Oreal(
% 0.94/1.55 tc_Nat_Onat, c_RComplete_Onatfloor( X ) ), c_Groups_Oone__class_Oone(
% 0.94/1.55 tc_RealDef_Oreal ) ) ) }.
% 0.94/1.55 { ! class_Rings_Olinordered__idom( X ), ! c_Orderings_Oord__class_Oless( X
% 0.94/1.55 , c_Groups_Oplus__class_Oplus( X, Y, Y ), c_Groups_Ozero__class_Ozero( X
% 0.94/1.55 ) ), c_Orderings_Oord__class_Oless( X, Y, c_Groups_Ozero__class_Ozero( X
% 0.94/1.55 ) ) }.
% 0.94/1.55 { ! class_Rings_Olinordered__idom( X ), ! c_Orderings_Oord__class_Oless( X
% 0.94/1.55 , Y, c_Groups_Ozero__class_Ozero( X ) ), c_Orderings_Oord__class_Oless( X
% 0.94/1.55 , c_Groups_Oplus__class_Oplus( X, Y, Y ), c_Groups_Ozero__class_Ozero( X
% 0.94/1.55 ) ) }.
% 0.94/1.55 { ! c_Orderings_Oord__class_Oless__eq( tc_Nat_Onat, Y, X ), X =
% 0.94/1.55 c_Groups_Oplus__class_Oplus( tc_Nat_Onat, Y, skol75( X, Y ) ) }.
% 0.94/1.55 { ! X = c_Groups_Oplus__class_Oplus( tc_Nat_Onat, Y, Z ),
% 0.94/1.55 c_Orderings_Oord__class_Oless__eq( tc_Nat_Onat, Y, X ) }.
% 0.94/1.55 { ! class_Groups_Olinordered__ab__group__add( X ), !
% 0.94/1.55 c_Groups_Oplus__class_Oplus( X, Y, Y ) = c_Groups_Ozero__class_Ozero( X )
% 0.94/1.55 , Y = c_Groups_Ozero__class_Ozero( X ) }.
% 0.94/1.55 { ! class_Groups_Olinordered__ab__group__add( X ), ! Y =
% 0.94/1.55 c_Groups_Ozero__class_Ozero( X ), c_Groups_Oplus__class_Oplus( X, Y, Y )
% 0.94/1.55 = c_Groups_Ozero__class_Ozero( X ) }.
% 0.94/1.55 { ! class_Rings_Olinordered__idom( X ), ! c_member( X, Y,
% 0.94/1.55 c_Int_Oring__1__class_OInts( X ) ), ! c_Orderings_Oord__class_Oless( X,
% 0.94/1.55 c_Groups_Oplus__class_Oplus( X, c_Groups_Oplus__class_Oplus( X,
% 0.94/1.55 c_Groups_Oone__class_Oone( X ), Y ), Y ), c_Groups_Ozero__class_Ozero( X
% 0.94/1.55 ) ), c_Orderings_Oord__class_Oless( X, Y, c_Groups_Ozero__class_Ozero( X
% 0.94/1.55 ) ) }.
% 0.94/1.55 { ! class_Rings_Olinordered__idom( X ), ! c_member( X, Y,
% 0.94/1.55 c_Int_Oring__1__class_OInts( X ) ), ! c_Orderings_Oord__class_Oless( X, Y
% 0.94/1.55 , c_Groups_Ozero__class_Ozero( X ) ), c_Orderings_Oord__class_Oless( X,
% 0.94/1.55 c_Groups_Oplus__class_Oplus( X, c_Groups_Oplus__class_Oplus( X,
% 0.94/1.55 c_Groups_Oone__class_Oone( X ), Y ), Y ), c_Groups_Ozero__class_Ozero( X
% 0.94/1.55 ) ) }.
% 0.94/1.55 { ! class_Rings_Ocomm__semiring__1( X ), c_Groups_Oplus__class_Oplus( X,
% 0.94/1.55 c_Groups_Ozero__class_Ozero( X ), Y ) = Y }.
% 0.94/1.55 { ! class_Rings_Oring__1( X ), c_member( X, c_Groups_Ozero__class_Ozero( X
% 0.94/1.55 ), c_Int_Oring__1__class_OInts( X ) ) }.
% 0.94/1.55 { ! class_Rings_Oring__1( X ), ! c_member( X, Y,
% 0.94/1.55 c_Int_Oring__1__class_OInts( X ) ), ! c_member( X, Z,
% 0.94/1.55 c_Int_Oring__1__class_OInts( X ) ), c_member( X,
% 0.94/1.55 c_Groups_Oplus__class_Oplus( X, Y, Z ), c_Int_Oring__1__class_OInts( X )
% 0.94/1.55 ) }.
% 0.94/1.55 { ! class_Rings_Oring__1( X ), ! c_member( X, Y,
% 0.94/1.55 c_Int_Oring__1__class_OInts( X ) ), ! c_member( X, Z,
% 0.94/1.55 c_Int_Oring__1__class_OInts( X ) ), c_member( X,
% 0.94/1.55 c_Groups_Ominus__class_Ominus( X, Y, Z ), c_Int_Oring__1__class_OInts( X
% 0.94/1.55 ) ) }.
% 0.94/1.55 { ! class_Rings_Oring__1( X ), c_member( X, c_Groups_Oone__class_Oone( X )
% 0.94/1.55 , c_Int_Oring__1__class_OInts( X ) ) }.
% 0.94/1.55 { ! class_Rings_Ocomm__semiring__1( X ), c_Groups_Oplus__class_Oplus( X,
% 0.94/1.55 c_Groups_Oplus__class_Oplus( X, U, T ), c_Groups_Oplus__class_Oplus( X, Z
% 0.94/1.55 , Y ) ) = c_Groups_Oplus__class_Oplus( X, c_Groups_Oplus__class_Oplus( X
% 0.94/1.55 , U, Z ), c_Groups_Oplus__class_Oplus( X, T, Y ) ) }.
% 0.94/1.55 { ! class_Rings_Ocomm__semiring__1( X ), c_Groups_Oplus__class_Oplus( X,
% 0.94/1.55 c_Groups_Oplus__class_Oplus( X, T, Z ), Y ) = c_Groups_Oplus__class_Oplus
% 0.94/1.55 ( X, c_Groups_Oplus__class_Oplus( X, T, Y ), Z ) }.
% 0.94/1.55 { ! class_Rings_Ocomm__semiring__1( X ), c_Groups_Oplus__class_Oplus( X,
% 0.94/1.55 c_Groups_Oplus__class_Oplus( X, T, Z ), Y ) = c_Groups_Oplus__class_Oplus
% 0.94/1.55 ( X, T, c_Groups_Oplus__class_Oplus( X, Z, Y ) ) }.
% 0.94/1.55 { ! class_Rings_Ocomm__semiring__1( X ), c_Groups_Oplus__class_Oplus( X, T
% 0.94/1.55 , c_Groups_Oplus__class_Oplus( X, Z, Y ) ) = c_Groups_Oplus__class_Oplus
% 0.94/1.55 ( X, c_Groups_Oplus__class_Oplus( X, T, Z ), Y ) }.
% 0.94/1.55 { ! class_Rings_Ocomm__semiring__1( X ), c_Groups_Oplus__class_Oplus( X, T
% 0.94/1.55 , c_Groups_Oplus__class_Oplus( X, Z, Y ) ) = c_Groups_Oplus__class_Oplus
% 0.94/1.55 ( X, Z, c_Groups_Oplus__class_Oplus( X, T, Y ) ) }.
% 0.94/1.55 { ! class_Rings_Ocomm__semiring__1( X ), c_Groups_Oplus__class_Oplus( X, Z
% 0.94/1.55 , Y ) = c_Groups_Oplus__class_Oplus( X, Y, Z ) }.
% 0.94/1.55 { c_member( tc_RealDef_Oreal, c_RealDef_Oreal( tc_Nat_Onat, X ),
% 0.94/1.55 c_Int_Oring__1__class_OInts( tc_RealDef_Oreal ) ) }.
% 0.94/1.55 { ! class_Int_Oring__char__0( X ), ! c_member( X, Y,
% 0.94/1.55 c_Int_Oring__1__class_OInts( X ) ), ! c_Groups_Oplus__class_Oplus( X, Y,
% 0.94/1.55 Y ) = c_Groups_Ozero__class_Ozero( X ), Y = c_Groups_Ozero__class_Ozero(
% 0.94/1.55 X ) }.
% 0.94/1.55 { ! class_Int_Oring__char__0( X ), ! c_member( X, Y,
% 0.94/1.55 c_Int_Oring__1__class_OInts( X ) ), ! Y = c_Groups_Ozero__class_Ozero( X
% 0.94/1.55 ), c_Groups_Oplus__class_Oplus( X, Y, Y ) = c_Groups_Ozero__class_Ozero
% 0.94/1.55 ( X ) }.
% 0.94/1.55 { ! class_Int_Oring__char__0( X ), ! c_member( X, Y,
% 0.94/1.55 c_Int_Oring__1__class_OInts( X ) ), ! c_Groups_Oplus__class_Oplus( X,
% 0.94/1.55 c_Groups_Oplus__class_Oplus( X, c_Groups_Oone__class_Oone( X ), Y ), Y )
% 0.94/1.55 = c_Groups_Ozero__class_Ozero( X ) }.
% 0.94/1.55 { ! class_Semiring__Normalization_Ocomm__semiring__1__cancel__crossproduct
% 0.94/1.55 ( X ), ! Z = c_Groups_Oplus__class_Oplus( X, Z, Y ), Y =
% 0.94/1.55 c_Groups_Ozero__class_Ozero( X ) }.
% 0.94/1.55 { ! class_Semiring__Normalization_Ocomm__semiring__1__cancel__crossproduct
% 0.94/1.55 ( X ), ! Y = c_Groups_Ozero__class_Ozero( X ), Z =
% 0.94/1.55 c_Groups_Oplus__class_Oplus( X, Z, Y ) }.
% 0.94/1.55 { ! class_Rings_Ocomm__semiring__1( X ), c_Groups_Oplus__class_Oplus( X, Y
% 0.94/1.55 , c_Groups_Ozero__class_Ozero( X ) ) = Y }.
% 0.94/1.55 { hBOOL( hAPP( X, c_Groups_Ozero__class_Ozero( tc_Nat_Onat ) ) ), ! hBOOL(
% 0.94/1.55 hAPP( X, Y ) ), c_Orderings_Oord__class_Oless( tc_Nat_Onat, skol76( Z, Y
% 0.94/1.55 ), Y ) }.
% 0.94/1.55 { hBOOL( hAPP( X, c_Groups_Ozero__class_Ozero( tc_Nat_Onat ) ) ), ! hBOOL(
% 0.94/1.55 hAPP( X, Y ) ), ! c_Orderings_Oord__class_Oless__eq( tc_Nat_Onat, Z,
% 0.94/1.55 skol76( X, Y ) ), ! hBOOL( hAPP( X, Z ) ) }.
% 0.94/1.55 { hBOOL( hAPP( X, c_Groups_Ozero__class_Ozero( tc_Nat_Onat ) ) ), ! hBOOL(
% 0.94/1.55 hAPP( X, Y ) ), hBOOL( hAPP( X, c_Groups_Oplus__class_Oplus( tc_Nat_Onat
% 0.94/1.55 , skol76( X, Y ), c_Groups_Oone__class_Oone( tc_Nat_Onat ) ) ) ) }.
% 0.94/1.55 { ! c_Orderings_Oord__class_Oless( tc_Nat_Onat, c_Groups_Ozero__class_Ozero
% 0.94/1.55 ( tc_Nat_Onat ), c_Int_Onumber__class_Onumber__of( tc_Nat_Onat, X ) ),
% 0.94/1.55 c_Int_Onumber__class_Onumber__of( tc_Nat_Onat, X ) = c_Nat_OSuc(
% 0.94/1.55 c_Groups_Ominus__class_Ominus( tc_Nat_Onat,
% 0.94/1.55 c_Int_Onumber__class_Onumber__of( tc_Nat_Onat, X ),
% 0.94/1.55 c_Groups_Oone__class_Oone( tc_Nat_Onat ) ) ) }.
% 0.94/1.55 { ! class_Int_Onumber__ring( X ), c_member( X,
% 0.94/1.55 c_Int_Onumber__class_Onumber__of( X, Y ), c_Int_Oring__1__class_OInts( X
% 0.94/1.55 ) ) }.
% 0.94/1.55 { ! class_Int_Onumber__ring( X ), ! class_Rings_Olinordered__idom( X ), !
% 0.94/1.55 c_Orderings_Oord__class_Oless( X, c_Int_Onumber__class_Onumber__of( X, Z
% 0.94/1.55 ), c_Int_Onumber__class_Onumber__of( X, Y ) ),
% 0.94/1.55 c_Orderings_Oord__class_Oless( tc_Int_Oint, Z, Y ) }.
% 0.94/1.55 { ! class_Int_Onumber__ring( X ), ! class_Rings_Olinordered__idom( X ), !
% 0.94/1.55 c_Orderings_Oord__class_Oless( tc_Int_Oint, Z, Y ),
% 0.94/1.55 c_Orderings_Oord__class_Oless( X, c_Int_Onumber__class_Onumber__of( X, Z
% 0.94/1.55 ), c_Int_Onumber__class_Onumber__of( X, Y ) ) }.
% 0.94/1.55 { ! class_Int_Onumber__ring( X ), ! class_Rings_Olinordered__idom( X ), !
% 0.94/1.55 c_Orderings_Oord__class_Oless__eq( X, c_Int_Onumber__class_Onumber__of( X
% 0.94/1.55 , Z ), c_Int_Onumber__class_Onumber__of( X, Y ) ),
% 0.94/1.55 c_Orderings_Oord__class_Oless__eq( tc_Int_Oint, Z, Y ) }.
% 0.94/1.55 { ! class_Int_Onumber__ring( X ), ! class_Rings_Olinordered__idom( X ), !
% 0.94/1.55 c_Orderings_Oord__class_Oless__eq( tc_Int_Oint, Z, Y ),
% 0.94/1.55 c_Orderings_Oord__class_Oless__eq( X, c_Int_Onumber__class_Onumber__of( X
% 0.94/1.55 , Z ), c_Int_Onumber__class_Onumber__of( X, Y ) ) }.
% 0.94/1.55 { ! class_Int_Onumber__ring( X ), ! class_Int_Oring__char__0( X ), !
% 0.94/1.55 c_Int_Onumber__class_Onumber__of( X, Z ) =
% 0.94/1.55 c_Int_Onumber__class_Onumber__of( X, Y ), Z = Y }.
% 0.94/1.55 { ! class_Int_Onumber__ring( X ), ! class_Int_Oring__char__0( X ), ! Z = Y
% 0.94/1.55 , c_Int_Onumber__class_Onumber__of( X, Z ) =
% 0.94/1.55 c_Int_Onumber__class_Onumber__of( X, Y ) }.
% 0.94/1.55 { ! class_Int_Onumber( X ), ! c_Int_Onumber__class_Onumber__of( X, Z ) = Y
% 0.94/1.55 , Y = c_Int_Onumber__class_Onumber__of( X, Z ) }.
% 0.94/1.55 { ! class_Int_Onumber( X ), ! Y = c_Int_Onumber__class_Onumber__of( X, Z )
% 0.94/1.55 , c_Int_Onumber__class_Onumber__of( X, Z ) = Y }.
% 0.94/1.55 { ! class_Int_Onumber( X ), ! class_Orderings_Olinorder( X ), !
% 0.94/1.55 c_Orderings_Oord__class_Oless__eq( X, c_Int_Onumber__class_Onumber__of( X
% 0.94/1.55 , Z ), c_Int_Onumber__class_Onumber__of( X, Y ) ), !
% 0.94/1.55 c_Orderings_Oord__class_Oless( X, c_Int_Onumber__class_Onumber__of( X, Y
% 0.94/1.55 ), c_Int_Onumber__class_Onumber__of( X, Z ) ) }.
% 0.94/1.55 { ! class_Int_Onumber( X ), ! class_Orderings_Olinorder( X ),
% 0.94/1.55 c_Orderings_Oord__class_Oless( X, c_Int_Onumber__class_Onumber__of( X, Y
% 0.94/1.55 ), c_Int_Onumber__class_Onumber__of( X, Z ) ),
% 0.94/1.55 c_Orderings_Oord__class_Oless__eq( X, c_Int_Onumber__class_Onumber__of( X
% 0.94/1.55 , Z ), c_Int_Onumber__class_Onumber__of( X, Y ) ) }.
% 0.94/1.55 { ! class_Int_Onumber__ring( X ), c_Int_Onumber__class_Onumber__of( X,
% 0.94/1.55 c_Groups_Ominus__class_Ominus( tc_Int_Oint, Z, Y ) ) =
% 0.94/1.55 c_Groups_Ominus__class_Ominus( X, c_Int_Onumber__class_Onumber__of( X, Z
% 0.94/1.55 ), c_Int_Onumber__class_Onumber__of( X, Y ) ) }.
% 0.94/1.55 { ! class_Int_Onumber__ring( X ), c_Groups_Oplus__class_Oplus( X,
% 0.94/1.55 c_Int_Onumber__class_Onumber__of( X, T ), c_Groups_Ominus__class_Ominus(
% 0.94/1.55 X, c_Int_Onumber__class_Onumber__of( X, Z ), Y ) ) =
% 0.94/1.55 c_Groups_Ominus__class_Ominus( X, c_Int_Onumber__class_Onumber__of( X,
% 0.94/1.55 c_Groups_Oplus__class_Oplus( tc_Int_Oint, T, Z ) ), Y ) }.
% 0.94/1.55 { ! class_Int_Onumber__ring( X ), c_Int_Onumber__class_Onumber__of( X,
% 0.94/1.55 c_Groups_Oplus__class_Oplus( tc_Int_Oint, Z, Y ) ) =
% 0.94/1.55 c_Groups_Oplus__class_Oplus( X, c_Int_Onumber__class_Onumber__of( X, Z )
% 0.94/1.55 , c_Int_Onumber__class_Onumber__of( X, Y ) ) }.
% 0.94/1.55 { ! class_Int_Onumber__ring( X ), c_Groups_Oplus__class_Oplus( X,
% 0.94/1.55 c_Int_Onumber__class_Onumber__of( X, Z ),
% 0.94/1.55 c_Int_Onumber__class_Onumber__of( X, Y ) ) =
% 0.94/1.55 c_Int_Onumber__class_Onumber__of( X, c_Groups_Oplus__class_Oplus(
% 0.94/1.55 tc_Int_Oint, Z, Y ) ) }.
% 0.94/1.55 { ! class_Int_Onumber__ring( X ), c_Groups_Oplus__class_Oplus( X,
% 0.94/1.55 c_Int_Onumber__class_Onumber__of( X, T ), c_Groups_Oplus__class_Oplus( X
% 0.94/1.55 , c_Int_Onumber__class_Onumber__of( X, Z ), Y ) ) =
% 0.94/1.55 c_Groups_Oplus__class_Oplus( X, c_Int_Onumber__class_Onumber__of( X,
% 0.94/1.55 c_Groups_Oplus__class_Oplus( tc_Int_Oint, T, Z ) ), Y ) }.
% 0.94/1.55 { ! c_Finite__Set_Ofinite( tc_Nat_Onat, X ), c_GCD_Ogcd__class_OGcd(
% 0.94/1.55 tc_Nat_Onat, X ) = c_GCD_Ogcd__class_OGcd( tc_Nat_Onat,
% 0.94/1.55 c_Groups_Ominus__class_Ominus( tc_fun( tc_Nat_Onat, tc_HOL_Obool ), X,
% 0.94/1.55 c_Set_Oinsert( tc_Nat_Onat, c_Groups_Ozero__class_Ozero( tc_Nat_Onat ),
% 0.94/1.55 c_Orderings_Obot__class_Obot( tc_fun( tc_Nat_Onat, tc_HOL_Obool ) ) ) ) )
% 0.94/1.55 }.
% 0.94/1.55 { ! class_Rings_Olinordered__semiring__1__strict( X ), !
% 0.94/1.55 c_Orderings_Oord__class_Oless( X, Z, Y ), ! c_Orderings_Oord__class_Oless
% 0.94/1.55 ( X, T, Y ), ! c_Orderings_Oord__class_Oless__eq( X,
% 0.94/1.55 c_Groups_Ozero__class_Ozero( X ), U ), !
% 0.94/1.55 c_Orderings_Oord__class_Oless__eq( X, c_Groups_Ozero__class_Ozero( X ), W
% 0.94/1.55 ), ! c_Groups_Oplus__class_Oplus( X, U, W ) = c_Groups_Oone__class_Oone
% 0.94/1.55 ( X ), c_Orderings_Oord__class_Oless( X, c_Groups_Oplus__class_Oplus( X,
% 0.94/1.55 c_Groups_Otimes__class_Otimes( X, U, Z ), c_Groups_Otimes__class_Otimes(
% 0.94/1.55 X, W, T ) ), Y ) }.
% 0.94/1.55 { c_Finite__Set_Ofinite( tc_Nat_Onat,
% 0.94/1.55 c_SetInterval_Oord__class_OatLeastLessThan( tc_Nat_Onat, Y, X ) ) }.
% 0.94/1.55 { c_Finite__Set_Ofinite( tc_Nat_Onat,
% 0.94/1.55 c_SetInterval_Oord__class_OatLeastAtMost( tc_Nat_Onat, Y, X ) ) }.
% 0.94/1.55 { c_Finite__Set_Ofinite( tc_Nat_Onat, c_SetInterval_Oord__class_OlessThan(
% 0.94/1.55 tc_Nat_Onat, X ) ) }.
% 0.94/1.55 { c_Finite__Set_Ofinite( tc_Nat_Onat, c_SetInterval_Oord__class_OatMost(
% 0.94/1.55 tc_Nat_Onat, X ) ) }.
% 0.94/1.55 { c_Finite__Set_Ofinite( tc_Nat_Onat,
% 0.94/1.55 c_SetInterval_Oord__class_OgreaterThanAtMost( tc_Nat_Onat, Y, X ) ) }.
% 0.94/1.55 { c_Finite__Set_Ofinite( tc_Nat_Onat,
% 0.94/1.55 c_SetInterval_Oord__class_OgreaterThanLessThan( tc_Nat_Onat, Y, X ) ) }.
% 0.94/1.55 { ! class_Rings_Oring__1( X ), ! c_member( X, Y,
% 0.94/1.55 c_Int_Oring__1__class_OInts( X ) ), ! c_member( X, Z,
% 0.94/1.55 c_Int_Oring__1__class_OInts( X ) ), c_member( X,
% 0.94/1.55 c_Groups_Otimes__class_Otimes( X, Y, Z ), c_Int_Oring__1__class_OInts( X
% 0.94/1.55 ) ) }.
% 0.94/1.55 { c_RComplete_Onatfloor( c_Int_Onumber__class_Onumber__of( tc_RealDef_Oreal
% 0.94/1.55 , X ) ) = c_Int_Onumber__class_Onumber__of( tc_Nat_Onat, X ) }.
% 0.94/1.55 { c_RComplete_Onatceiling( c_Int_Onumber__class_Onumber__of(
% 0.94/1.55 tc_RealDef_Oreal, X ) ) = c_Int_Onumber__class_Onumber__of( tc_Nat_Onat,
% 0.94/1.55 X ) }.
% 0.94/1.55 { ! c_Orderings_Oord__class_Oless( tc_Int_Oint,
% 0.94/1.55 c_Int_Onumber__class_Onumber__of( tc_Int_Oint, Y ),
% 0.94/1.55 c_Int_Onumber__class_Onumber__of( tc_Int_Oint, X ) ),
% 0.94/1.55 c_Orderings_Oord__class_Oless( tc_Int_Oint, Y, X ) }.
% 0.94/1.55 { ! c_Orderings_Oord__class_Oless( tc_Int_Oint, Y, X ),
% 0.94/1.55 c_Orderings_Oord__class_Oless( tc_Int_Oint,
% 0.94/1.55 c_Int_Onumber__class_Onumber__of( tc_Int_Oint, Y ),
% 0.94/1.55 c_Int_Onumber__class_Onumber__of( tc_Int_Oint, X ) ) }.
% 0.94/1.55 { ! c_Orderings_Oord__class_Oless__eq( tc_Int_Oint,
% 0.94/1.55 c_Int_Onumber__class_Onumber__of( tc_Int_Oint, Y ),
% 0.94/1.55 c_Int_Onumber__class_Onumber__of( tc_Int_Oint, X ) ),
% 0.94/1.55 c_Orderings_Oord__class_Oless__eq( tc_Int_Oint, Y, X ) }.
% 0.94/1.55 { ! c_Orderings_Oord__class_Oless__eq( tc_Int_Oint, Y, X ),
% 0.94/1.55 c_Orderings_Oord__class_Oless__eq( tc_Int_Oint,
% 0.94/1.55 c_Int_Onumber__class_Onumber__of( tc_Int_Oint, Y ),
% 0.94/1.55 c_Int_Onumber__class_Onumber__of( tc_Int_Oint, X ) ) }.
% 0.94/1.55 { ! class_Int_Onumber__ring( X ), c_Groups_Otimes__class_Otimes( X,
% 0.94/1.55 c_Int_Onumber__class_Onumber__of( X, T ), c_Groups_Otimes__class_Otimes(
% 0.94/1.55 X, c_Int_Onumber__class_Onumber__of( X, Z ), Y ) ) =
% 0.94/1.55 c_Groups_Otimes__class_Otimes( X, c_Int_Onumber__class_Onumber__of( X,
% 0.94/1.55 c_Groups_Otimes__class_Otimes( tc_Int_Oint, T, Z ) ), Y ) }.
% 0.94/1.55 { ! class_Int_Onumber__ring( X ), c_Groups_Otimes__class_Otimes( X,
% 0.94/1.55 c_Int_Onumber__class_Onumber__of( X, Z ),
% 0.94/1.55 c_Int_Onumber__class_Onumber__of( X, Y ) ) =
% 0.94/1.55 c_Int_Onumber__class_Onumber__of( X, c_Groups_Otimes__class_Otimes(
% 0.94/1.55 tc_Int_Oint, Z, Y ) ) }.
% 0.94/1.55 { ! class_Int_Onumber__ring( X ), c_Int_Onumber__class_Onumber__of( X,
% 0.94/1.55 c_Groups_Otimes__class_Otimes( tc_Int_Oint, Z, Y ) ) =
% 0.94/1.55 c_Groups_Otimes__class_Otimes( X, c_Int_Onumber__class_Onumber__of( X, Z
% 0.94/1.55 ), c_Int_Onumber__class_Onumber__of( X, Y ) ) }.
% 0.94/1.55 { ! class_Int_Onumber( X ), ! class_Rings_Oring( X ),
% 0.94/1.55 c_Groups_Otimes__class_Otimes( X, c_Groups_Ominus__class_Ominus( X, T, Z
% 0.94/1.55 ), c_Int_Onumber__class_Onumber__of( X, Y ) ) =
% 0.94/1.55 c_Groups_Ominus__class_Ominus( X, c_Groups_Otimes__class_Otimes( X, T,
% 0.94/1.55 c_Int_Onumber__class_Onumber__of( X, Y ) ), c_Groups_Otimes__class_Otimes
% 0.94/1.55 ( X, Z, c_Int_Onumber__class_Onumber__of( X, Y ) ) ) }.
% 0.94/1.55 { ! class_Int_Onumber( X ), ! class_Rings_Oring( X ),
% 0.94/1.55 c_Groups_Otimes__class_Otimes( X, c_Int_Onumber__class_Onumber__of( X, T
% 0.94/1.55 ), c_Groups_Ominus__class_Ominus( X, Z, Y ) ) =
% 0.94/1.55 c_Groups_Ominus__class_Ominus( X, c_Groups_Otimes__class_Otimes( X,
% 0.94/1.55 c_Int_Onumber__class_Onumber__of( X, T ), Z ),
% 0.94/1.55 c_Groups_Otimes__class_Otimes( X, c_Int_Onumber__class_Onumber__of( X, T
% 0.94/1.55 ), Y ) ) }.
% 0.94/1.55 { c_Groups_Oplus__class_Oplus( tc_Int_Oint,
% 0.94/1.55 c_Int_Onumber__class_Onumber__of( tc_Int_Oint, Y ),
% 0.94/1.55 c_Int_Onumber__class_Onumber__of( tc_Int_Oint, X ) ) =
% 0.94/1.55 c_Int_Onumber__class_Onumber__of( tc_Int_Oint,
% 0.94/1.55 c_Groups_Oplus__class_Oplus( tc_Int_Oint, Y, X ) ) }.
% 0.94/1.55 { ! class_Int_Onumber( X ), ! class_Rings_Osemiring( X ),
% 0.94/1.55 c_Groups_Otimes__class_Otimes( X, c_Int_Onumber__class_Onumber__of( X, T
% 0.94/1.55 ), c_Groups_Oplus__class_Oplus( X, Z, Y ) ) =
% 0.94/1.55 c_Groups_Oplus__class_Oplus( X, c_Groups_Otimes__class_Otimes( X,
% 0.94/1.55 c_Int_Onumber__class_Onumber__of( X, T ), Z ),
% 0.94/1.55 c_Groups_Otimes__class_Otimes( X, c_Int_Onumber__class_Onumber__of( X, T
% 0.94/1.55 ), Y ) ) }.
% 0.94/1.55 { ! class_Int_Onumber( X ), ! class_Rings_Osemiring( X ),
% 0.94/1.55 c_Groups_Otimes__class_Otimes( X, c_Groups_Oplus__class_Oplus( X, T, Z )
% 0.94/1.55 , c_Int_Onumber__class_Onumber__of( X, Y ) ) =
% 0.94/1.55 c_Groups_Oplus__class_Oplus( X, c_Groups_Otimes__class_Otimes( X, T,
% 0.94/1.55 c_Int_Onumber__class_Onumber__of( X, Y ) ), c_Groups_Otimes__class_Otimes
% 0.94/1.55 ( X, Z, c_Int_Onumber__class_Onumber__of( X, Y ) ) ) }.
% 0.94/1.55 { ! c_Groups_Oplus__class_Oplus( tc_Int_Oint, c_Groups_Oplus__class_Oplus(
% 0.94/1.55 tc_Int_Oint, c_Groups_Oone__class_Oone( tc_Int_Oint ), X ), X ) =
% 0.94/1.55 c_Groups_Ozero__class_Ozero( tc_Int_Oint ) }.
% 0.94/1.55 { ! c_Orderings_Oord__class_Oless__eq( tc_Int_Oint,
% 0.94/1.55 c_Groups_Ozero__class_Ozero( tc_Int_Oint ), X ),
% 0.94/1.55 c_Orderings_Oord__class_Oless( tc_Int_Oint, c_Groups_Ozero__class_Ozero(
% 0.94/1.55 tc_Int_Oint ), c_Groups_Oplus__class_Oplus( tc_Int_Oint,
% 0.94/1.55 c_Groups_Oone__class_Oone( tc_Int_Oint ), X ) ) }.
% 0.94/1.55 { ! c_Orderings_Oord__class_Oless( tc_Int_Oint, c_Groups_Oplus__class_Oplus
% 0.94/1.55 ( tc_Int_Oint, c_Groups_Oplus__class_Oplus( tc_Int_Oint,
% 0.94/1.55 c_Groups_Oone__class_Oone( tc_Int_Oint ), X ), X ),
% 0.94/1.55 c_Groups_Ozero__class_Ozero( tc_Int_Oint ) ),
% 0.94/1.55 c_Orderings_Oord__class_Oless( tc_Int_Oint, X,
% 0.94/1.55 c_Groups_Ozero__class_Ozero( tc_Int_Oint ) ) }.
% 0.94/1.55 { ! c_Orderings_Oord__class_Oless( tc_Int_Oint, X,
% 0.94/1.55 c_Groups_Ozero__class_Ozero( tc_Int_Oint ) ),
% 0.94/1.55 c_Orderings_Oord__class_Oless( tc_Int_Oint, c_Groups_Oplus__class_Oplus(
% 0.94/1.55 tc_Int_Oint, c_Groups_Oplus__class_Oplus( tc_Int_Oint,
% 0.94/1.55 c_Groups_Oone__class_Oone( tc_Int_Oint ), X ), X ),
% 0.94/1.55 c_Groups_Ozero__class_Ozero( tc_Int_Oint ) ) }.
% 0.94/1.55 { ! c_Orderings_Oord__class_Oless__eq( tc_Int_Oint, Y,
% 0.94/1.55 c_Groups_Oplus__class_Oplus( tc_Int_Oint, X, c_Groups_Oone__class_Oone(
% 0.94/1.55 tc_Int_Oint ) ) ), c_SetInterval_Oord__class_OatLeastAtMost( tc_Int_Oint
% 0.94/1.55 , Y, c_Groups_Oplus__class_Oplus( tc_Int_Oint, X,
% 0.94/1.55 c_Groups_Oone__class_Oone( tc_Int_Oint ) ) ) =
% 0.94/1.55 c_Lattices_Osemilattice__sup__class_Osup( tc_fun( tc_Int_Oint,
% 0.94/1.55 tc_HOL_Obool ), c_SetInterval_Oord__class_OatLeastAtMost( tc_Int_Oint, Y
% 0.94/1.55 , X ), c_Set_Oinsert( tc_Int_Oint, c_Groups_Oplus__class_Oplus(
% 0.94/1.55 tc_Int_Oint, X, c_Groups_Oone__class_Oone( tc_Int_Oint ) ),
% 0.94/1.55 c_Orderings_Obot__class_Obot( tc_fun( tc_Int_Oint, tc_HOL_Obool ) ) ) ) }
% 0.94/1.55 .
% 0.94/1.55 { c_SetInterval_Oord__class_OatLeastLessThan( tc_Int_Oint,
% 0.94/1.55 c_Groups_Oplus__class_Oplus( tc_Int_Oint, Y, c_Groups_Oone__class_Oone(
% 0.94/1.55 tc_Int_Oint ) ), X ) = c_SetInterval_Oord__class_OgreaterThanLessThan(
% 0.94/1.55 tc_Int_Oint, Y, X ) }.
% 0.94/1.55 { c_SetInterval_Oord__class_OatLeastLessThan( tc_Int_Oint, Y,
% 0.94/1.55 c_Groups_Oplus__class_Oplus( tc_Int_Oint, X, c_Groups_Oone__class_Oone(
% 0.94/1.55 tc_Int_Oint ) ) ) = c_SetInterval_Oord__class_OatLeastAtMost( tc_Int_Oint
% 0.94/1.55 , Y, X ) }.
% 0.94/1.55 { ! c_Orderings_Oord__class_Oless( tc_Int_Oint, Y, X ),
% 0.94/1.55 c_Orderings_Oord__class_Oless__eq( tc_Int_Oint,
% 0.94/1.55 c_Groups_Oplus__class_Oplus( tc_Int_Oint, Y, c_Groups_Oone__class_Oone(
% 0.94/1.55 tc_Int_Oint ) ), X ) }.
% 0.94/1.55 { ! c_Orderings_Oord__class_Oless__eq( tc_Int_Oint,
% 0.94/1.55 c_Groups_Oplus__class_Oplus( tc_Int_Oint, Y, c_Groups_Oone__class_Oone(
% 0.94/1.55 tc_Int_Oint ) ), X ), c_Orderings_Oord__class_Oless( tc_Int_Oint, Y, X )
% 0.94/1.55 }.
% 0.94/1.55 { ! c_Orderings_Oord__class_Oless( tc_Int_Oint, Y, X ),
% 0.94/1.55 c_Orderings_Oord__class_Oless__eq( tc_Int_Oint,
% 0.94/1.55 c_Groups_Oplus__class_Oplus( tc_Int_Oint, Y, c_Groups_Oone__class_Oone(
% 0.94/1.55 tc_Int_Oint ) ), X ) }.
% 0.94/1.55 { ! c_Orderings_Oord__class_Oless( tc_Int_Oint, Y,
% 0.94/1.55 c_Groups_Oplus__class_Oplus( tc_Int_Oint, X, c_Groups_Oone__class_Oone(
% 0.94/1.55 tc_Int_Oint ) ) ), c_Orderings_Oord__class_Oless__eq( tc_Int_Oint, Y, X )
% 0.94/1.55 }.
% 0.94/1.55 { ! c_Orderings_Oord__class_Oless__eq( tc_Int_Oint, Y, X ),
% 0.94/1.55 c_Orderings_Oord__class_Oless( tc_Int_Oint, Y,
% 0.94/1.55 c_Groups_Oplus__class_Oplus( tc_Int_Oint, X, c_Groups_Oone__class_Oone(
% 0.94/1.55 tc_Int_Oint ) ) ) }.
% 0.94/1.55 { ! c_Orderings_Oord__class_Oless( tc_Int_Oint, Y,
% 0.94/1.55 c_Groups_Oplus__class_Oplus( tc_Int_Oint, X, c_Groups_Oone__class_Oone(
% 0.94/1.55 tc_Int_Oint ) ) ), c_Orderings_Oord__class_Oless( tc_Int_Oint, Y, X ), Y
% 0.94/1.55 = X }.
% 0.94/1.55 { ! c_Orderings_Oord__class_Oless( tc_Int_Oint, Y, X ),
% 0.94/1.55 c_Orderings_Oord__class_Oless( tc_Int_Oint, Y,
% 0.94/1.55 c_Groups_Oplus__class_Oplus( tc_Int_Oint, X, c_Groups_Oone__class_Oone(
% 0.94/1.55 tc_Int_Oint ) ) ) }.
% 0.94/1.55 { ! Y = X, c_Orderings_Oord__class_Oless( tc_Int_Oint, Y,
% 0.94/1.55 c_Groups_Oplus__class_Oplus( tc_Int_Oint, X, c_Groups_Oone__class_Oone(
% 0.94/1.55 tc_Int_Oint ) ) ) }.
% 0.94/1.55 { c_SetInterval_Oord__class_OatLeastAtMost( tc_Int_Oint,
% 0.94/1.55 c_Groups_Oplus__class_Oplus( tc_Int_Oint, Y, c_Groups_Oone__class_Oone(
% 0.94/1.55 tc_Int_Oint ) ), X ) = c_SetInterval_Oord__class_OgreaterThanAtMost(
% 0.94/1.55 tc_Int_Oint, Y, X ) }.
% 0.94/1.55 { c_Groups_Otimes__class_Otimes( tc_Nat_Onat, c_Nat_OSuc( Y ), X ) =
% 0.94/1.55 c_Groups_Oplus__class_Oplus( tc_Nat_Onat, X,
% 0.94/1.55 c_Groups_Otimes__class_Otimes( tc_Nat_Onat, Y, X ) ) }.
% 0.94/1.55 { c_Groups_Otimes__class_Otimes( tc_Nat_Onat, Y, c_Nat_OSuc( X ) ) =
% 0.94/1.55 c_Groups_Oplus__class_Oplus( tc_Nat_Onat, Y,
% 0.94/1.55 c_Groups_Otimes__class_Otimes( tc_Nat_Onat, Y, X ) ) }.
% 0.94/1.55 { ! c_Orderings_Oord__class_Oless( tc_Int_Oint, Y, X ),
% 0.94/1.55 c_Orderings_Oord__class_Oless( tc_Int_Oint, c_Groups_Oplus__class_Oplus(
% 0.94/1.55 tc_Int_Oint, Y, Z ), c_Groups_Oplus__class_Oplus( tc_Int_Oint, X, Z ) ) }
% 0.94/1.55 .
% 0.94/1.55 { c_Groups_Otimes__class_Otimes( tc_Nat_Onat, Z,
% 0.94/1.55 c_Groups_Oplus__class_Oplus( tc_Nat_Onat, Y, X ) ) =
% 0.94/1.55 c_Groups_Oplus__class_Oplus( tc_Nat_Onat, c_Groups_Otimes__class_Otimes(
% 0.94/1.55 tc_Nat_Onat, Z, Y ), c_Groups_Otimes__class_Otimes( tc_Nat_Onat, Z, X ) )
% 0.94/1.55 }.
% 0.94/1.55 { c_Groups_Otimes__class_Otimes( tc_Nat_Onat, c_Groups_Oplus__class_Oplus(
% 0.94/1.55 tc_Nat_Onat, Z, Y ), X ) = c_Groups_Oplus__class_Oplus( tc_Nat_Onat,
% 0.94/1.55 c_Groups_Otimes__class_Otimes( tc_Nat_Onat, Z, X ),
% 0.94/1.55 c_Groups_Otimes__class_Otimes( tc_Nat_Onat, Y, X ) ) }.
% 0.94/1.55 { ! c_Orderings_Oord__class_Oless( tc_Int_Oint, Y, X ), !
% 0.94/1.55 c_Orderings_Oord__class_Oless__eq( tc_Int_Oint, T, Z ),
% 0.94/1.55 c_Orderings_Oord__class_Oless( tc_Int_Oint, c_Groups_Oplus__class_Oplus(
% 0.94/1.55 tc_Int_Oint, Y, T ), c_Groups_Oplus__class_Oplus( tc_Int_Oint, X, Z ) ) }
% 0.94/1.55 .
% 0.94/1.55 { ! c_Orderings_Oord__class_Oless__eq( tc_Int_Oint, Y, X ),
% 0.94/1.55 c_Orderings_Oord__class_Oless__eq( tc_Int_Oint,
% 0.94/1.55 c_Groups_Oplus__class_Oplus( tc_Int_Oint, Z, Y ),
% 0.94/1.55 c_Groups_Oplus__class_Oplus( tc_Int_Oint, Z, X ) ) }.
% 0.94/1.55 { c_Groups_Otimes__class_Otimes( tc_RealDef_Oreal,
% 0.94/1.55 c_Groups_Oplus__class_Oplus( tc_RealDef_Oreal, Z, Y ), X ) =
% 0.94/1.55 c_Groups_Oplus__class_Oplus( tc_RealDef_Oreal,
% 0.94/1.55 c_Groups_Otimes__class_Otimes( tc_RealDef_Oreal, Z, X ),
% 0.94/1.55 c_Groups_Otimes__class_Otimes( tc_RealDef_Oreal, Y, X ) ) }.
% 0.94/1.55 { c_Groups_Otimes__class_Otimes( tc_Int_Oint, c_Groups_Oplus__class_Oplus(
% 0.94/1.55 tc_Int_Oint, Z, Y ), X ) = c_Groups_Oplus__class_Oplus( tc_Int_Oint,
% 0.94/1.55 c_Groups_Otimes__class_Otimes( tc_Int_Oint, Z, X ),
% 0.94/1.55 c_Groups_Otimes__class_Otimes( tc_Int_Oint, Y, X ) ) }.
% 0.94/1.55 { c_Groups_Oplus__class_Oplus( tc_Int_Oint, c_Groups_Oplus__class_Oplus(
% 0.94/1.55 tc_Int_Oint, Z, Y ), X ) = c_Groups_Oplus__class_Oplus( tc_Int_Oint, Z,
% 0.94/1.55 c_Groups_Oplus__class_Oplus( tc_Int_Oint, Y, X ) ) }.
% 0.94/1.55 { c_Groups_Otimes__class_Otimes( tc_Int_Oint, Z,
% 0.94/1.55 c_Groups_Oplus__class_Oplus( tc_Int_Oint, Y, X ) ) =
% 0.94/1.55 c_Groups_Oplus__class_Oplus( tc_Int_Oint, c_Groups_Otimes__class_Otimes(
% 0.94/1.55 tc_Int_Oint, Z, Y ), c_Groups_Otimes__class_Otimes( tc_Int_Oint, Z, X ) )
% 0.94/1.55 }.
% 0.94/1.55 { c_Groups_Oplus__class_Oplus( tc_Int_Oint, Z, c_Groups_Oplus__class_Oplus
% 0.94/1.55 ( tc_Int_Oint, Y, X ) ) = c_Groups_Oplus__class_Oplus( tc_Int_Oint, Y,
% 0.94/1.55 c_Groups_Oplus__class_Oplus( tc_Int_Oint, Z, X ) ) }.
% 0.94/1.55 { c_Groups_Oplus__class_Oplus( tc_Int_Oint, Y, X ) =
% 0.94/1.55 c_Groups_Oplus__class_Oplus( tc_Int_Oint, X, Y ) }.
% 0.94/1.55 { ! class_Rings_Ocomm__semiring( X ), c_Groups_Otimes__class_Otimes( X,
% 0.94/1.55 c_Groups_Oplus__class_Oplus( X, T, Z ), Y ) = c_Groups_Oplus__class_Oplus
% 0.94/1.55 ( X, c_Groups_Otimes__class_Otimes( X, T, Y ),
% 0.94/1.55 c_Groups_Otimes__class_Otimes( X, Z, Y ) ) }.
% 0.94/1.55 { ! class_Rings_Osemiring( X ), c_Groups_Oplus__class_Oplus( X,
% 0.94/1.55 c_Groups_Otimes__class_Otimes( X, U, T ), c_Groups_Oplus__class_Oplus( X
% 0.94/1.55 , c_Groups_Otimes__class_Otimes( X, Z, T ), Y ) ) =
% 0.94/1.55 c_Groups_Oplus__class_Oplus( X, c_Groups_Otimes__class_Otimes( X,
% 0.94/1.55 c_Groups_Oplus__class_Oplus( X, U, Z ), T ), Y ) }.
% 0.94/1.55 { c_Groups_Oplus__class_Oplus( tc_Int_Oint, X, c_Groups_Ozero__class_Ozero
% 0.94/1.55 ( tc_Int_Oint ) ) = X }.
% 0.94/1.55 { c_Groups_Oplus__class_Oplus( tc_Int_Oint, c_Groups_Ozero__class_Ozero(
% 0.94/1.55 tc_Int_Oint ), X ) = X }.
% 0.94/1.55 { ! class_Rings_Oring( X ), c_Groups_Ominus__class_Ominus( X,
% 0.94/1.55 c_Groups_Otimes__class_Otimes( X, U, T ), c_Groups_Otimes__class_Otimes(
% 0.94/1.55 X, Z, Y ) ) = c_Groups_Oplus__class_Oplus( X,
% 0.94/1.55 c_Groups_Otimes__class_Otimes( X, U, c_Groups_Ominus__class_Ominus( X, T
% 0.94/1.55 , Y ) ), c_Groups_Otimes__class_Otimes( X, c_Groups_Ominus__class_Ominus
% 0.94/1.55 ( X, U, Z ), Y ) ) }.
% 0.94/1.55 { ! class_Rings_Oring( X ), ! c_Groups_Oplus__class_Oplus( X,
% 0.94/1.55 c_Groups_Otimes__class_Otimes( X, W, U ), T ) =
% 0.94/1.55 c_Groups_Oplus__class_Oplus( X, c_Groups_Otimes__class_Otimes( X, Z, U )
% 0.94/1.55 , Y ), T = c_Groups_Oplus__class_Oplus( X, c_Groups_Otimes__class_Otimes
% 0.94/1.55 ( X, c_Groups_Ominus__class_Ominus( X, Z, W ), U ), Y ) }.
% 0.94/1.55 { ! class_Rings_Oring( X ), ! T = c_Groups_Oplus__class_Oplus( X,
% 0.94/1.55 c_Groups_Otimes__class_Otimes( X, c_Groups_Ominus__class_Ominus( X, Z, W
% 0.94/1.55 ), U ), Y ), c_Groups_Oplus__class_Oplus( X,
% 0.94/1.55 c_Groups_Otimes__class_Otimes( X, W, U ), T ) =
% 0.94/1.55 c_Groups_Oplus__class_Oplus( X, c_Groups_Otimes__class_Otimes( X, Z, U )
% 0.94/1.55 , Y ) }.
% 0.94/1.55 { ! class_Rings_Oring( X ), ! c_Groups_Oplus__class_Oplus( X,
% 0.94/1.55 c_Groups_Otimes__class_Otimes( X, W, U ), T ) =
% 0.94/1.55 c_Groups_Oplus__class_Oplus( X, c_Groups_Otimes__class_Otimes( X, Z, U )
% 0.94/1.55 , Y ), c_Groups_Oplus__class_Oplus( X, c_Groups_Otimes__class_Otimes( X,
% 0.94/1.55 c_Groups_Ominus__class_Ominus( X, W, Z ), U ), T ) = Y }.
% 0.94/1.55 { ! class_Rings_Oring( X ), ! c_Groups_Oplus__class_Oplus( X,
% 0.94/1.55 c_Groups_Otimes__class_Otimes( X, c_Groups_Ominus__class_Ominus( X, W, Z
% 0.94/1.55 ), U ), T ) = Y, c_Groups_Oplus__class_Oplus( X,
% 0.94/1.55 c_Groups_Otimes__class_Otimes( X, W, U ), T ) =
% 0.94/1.55 c_Groups_Oplus__class_Oplus( X, c_Groups_Otimes__class_Otimes( X, Z, U )
% 0.94/1.55 , Y ) }.
% 0.94/1.55 { ! class_Rings_Olinordered__ring__strict( X ), !
% 0.94/1.55 c_Groups_Oplus__class_Oplus( X, c_Groups_Otimes__class_Otimes( X, Z, Z )
% 0.94/1.55 , c_Groups_Otimes__class_Otimes( X, Y, Y ) ) =
% 0.94/1.55 c_Groups_Ozero__class_Ozero( X ), Z = c_Groups_Ozero__class_Ozero( X ) }
% 0.94/1.55 .
% 0.94/1.55 { ! class_Rings_Olinordered__ring__strict( X ), !
% 0.94/1.55 c_Groups_Oplus__class_Oplus( X, c_Groups_Otimes__class_Otimes( X, Z, Z )
% 0.94/1.55 , c_Groups_Otimes__class_Otimes( X, Y, Y ) ) =
% 0.94/1.55 c_Groups_Ozero__class_Ozero( X ), Y = c_Groups_Ozero__class_Ozero( X ) }
% 0.94/1.55 .
% 0.94/1.55 { ! class_Rings_Olinordered__ring__strict( X ), ! Z =
% 0.94/1.55 c_Groups_Ozero__class_Ozero( X ), ! Y = c_Groups_Ozero__class_Ozero( X )
% 0.94/1.55 , c_Groups_Oplus__class_Oplus( X, c_Groups_Otimes__class_Otimes( X, Z, Z
% 0.94/1.55 ), c_Groups_Otimes__class_Otimes( X, Y, Y ) ) =
% 0.94/1.55 c_Groups_Ozero__class_Ozero( X ) }.
% 0.94/1.55 { ! c_Orderings_Oord__class_Oless( tc_Int_Oint, Y, X ),
% 0.94/1.55 c_Orderings_Oord__class_Oless( tc_Int_Oint, c_Groups_Ominus__class_Ominus
% 0.94/1.55 ( tc_Int_Oint, Y, X ), c_Groups_Ozero__class_Ozero( tc_Int_Oint ) ) }.
% 0.94/1.55 { ! c_Orderings_Oord__class_Oless( tc_Int_Oint,
% 0.94/1.55 c_Groups_Ominus__class_Ominus( tc_Int_Oint, Y, X ),
% 0.94/1.55 c_Groups_Ozero__class_Ozero( tc_Int_Oint ) ),
% 0.94/1.55 c_Orderings_Oord__class_Oless( tc_Int_Oint, Y, X ) }.
% 0.94/1.55 { c_Groups_Otimes__class_Otimes( tc_Int_Oint, Z,
% 0.94/1.55 c_Groups_Ominus__class_Ominus( tc_Int_Oint, Y, X ) ) =
% 0.94/1.55 c_Groups_Ominus__class_Ominus( tc_Int_Oint, c_Groups_Otimes__class_Otimes
% 0.94/1.55 ( tc_Int_Oint, Z, Y ), c_Groups_Otimes__class_Otimes( tc_Int_Oint, Z, X )
% 0.94/1.55 ) }.
% 0.94/1.55 { c_Groups_Otimes__class_Otimes( tc_Int_Oint, c_Groups_Ominus__class_Ominus
% 0.94/1.55 ( tc_Int_Oint, Z, Y ), X ) = c_Groups_Ominus__class_Ominus( tc_Int_Oint,
% 0.94/1.55 c_Groups_Otimes__class_Otimes( tc_Int_Oint, Z, X ),
% 0.94/1.55 c_Groups_Otimes__class_Otimes( tc_Int_Oint, Y, X ) ) }.
% 0.94/1.55 { ! c_Orderings_Oord__class_Oless( tc_Int_Oint, Y, X ), !
% 0.94/1.55 c_Orderings_Oord__class_Oless( tc_Int_Oint, c_Groups_Ozero__class_Ozero(
% 0.94/1.55 tc_Int_Oint ), Z ), c_Orderings_Oord__class_Oless( tc_Int_Oint,
% 0.94/1.55 c_Groups_Otimes__class_Otimes( tc_Int_Oint, Z, Y ),
% 0.94/1.55 c_Groups_Otimes__class_Otimes( tc_Int_Oint, Z, X ) ) }.
% 0.94/1.55 { c_Orderings_Oord__class_Oless__eq( tc_Int_Oint, X, X ) }.
% 0.94/1.55 { c_Orderings_Oord__class_Oless__eq( tc_Int_Oint, Y, X ),
% 0.94/1.55 c_Orderings_Oord__class_Oless__eq( tc_Int_Oint, X, Y ) }.
% 0.94/1.55 { ! c_Orderings_Oord__class_Oless__eq( tc_Int_Oint, Y, X ), !
% 0.94/1.55 c_Orderings_Oord__class_Oless__eq( tc_Int_Oint, X, Z ),
% 0.94/1.55 c_Orderings_Oord__class_Oless__eq( tc_Int_Oint, Y, Z ) }.
% 0.94/1.55 { ! c_Orderings_Oord__class_Oless__eq( tc_Int_Oint, Y, X ), !
% 0.94/1.55 c_Orderings_Oord__class_Oless__eq( tc_Int_Oint, X, Y ), Y = X }.
% 0.94/1.55 { ! c_Orderings_Oord__class_Oless( tc_Int_Oint, Y, X ),
% 0.94/1.55 c_Orderings_Oord__class_Oless__eq( tc_Int_Oint, Y, X ) }.
% 0.94/1.55 { ! c_Orderings_Oord__class_Oless( tc_Int_Oint, Y, X ), ! Y = X }.
% 0.94/1.55 { ! c_Orderings_Oord__class_Oless__eq( tc_Int_Oint, Y, X ), Y = X,
% 0.94/1.55 c_Orderings_Oord__class_Oless( tc_Int_Oint, Y, X ) }.
% 0.94/1.55 { c_Orderings_Oord__class_Oless( tc_Int_Oint, Y, X ), Y = X,
% 0.94/1.55 c_Orderings_Oord__class_Oless( tc_Int_Oint, X, Y ) }.
% 0.94/1.55 { c_Orderings_Oord__class_Oless( tc_Int_Oint, c_Groups_Ozero__class_Ozero(
% 0.94/1.55 tc_Int_Oint ), c_Groups_Oone__class_Oone( tc_Int_Oint ) ) }.
% 0.94/1.55 { ! c_Orderings_Oord__class_Oless( tc_Int_Oint, c_Groups_Ozero__class_Ozero
% 0.94/1.55 ( tc_Int_Oint ), X ), ! c_Groups_Otimes__class_Otimes( tc_Int_Oint, X, Y
% 0.94/1.55 ) = c_Groups_Oone__class_Oone( tc_Int_Oint ), X =
% 0.94/1.55 c_Groups_Oone__class_Oone( tc_Int_Oint ) }.
% 0.94/1.55 { ! c_Orderings_Oord__class_Oless( tc_Int_Oint, c_Groups_Ozero__class_Ozero
% 0.94/1.55 ( tc_Int_Oint ), X ), ! c_Groups_Otimes__class_Otimes( tc_Int_Oint, X, Y
% 0.94/1.55 ) = c_Groups_Oone__class_Oone( tc_Int_Oint ), Y =
% 0.94/1.55 c_Groups_Oone__class_Oone( tc_Int_Oint ) }.
% 0.94/1.55 { ! c_Orderings_Oord__class_Oless( tc_Int_Oint, c_Groups_Ozero__class_Ozero
% 0.94/1.55 ( tc_Int_Oint ), X ), ! X = c_Groups_Oone__class_Oone( tc_Int_Oint ), ! Y
% 0.94/1.55 = c_Groups_Oone__class_Oone( tc_Int_Oint ),
% 0.94/1.55 c_Groups_Otimes__class_Otimes( tc_Int_Oint, X, Y ) =
% 0.94/1.55 c_Groups_Oone__class_Oone( tc_Int_Oint ) }.
% 0.94/1.55 { ! c_Orderings_Oord__class_Oless__eq( tc_Int_Oint,
% 0.94/1.55 c_Groups_Oone__class_Oone( tc_Int_Oint ), X ),
% 0.94/1.55 c_Orderings_Oord__class_Oless( tc_Int_Oint, c_Groups_Ozero__class_Ozero(
% 0.94/1.55 tc_Int_Oint ), X ) }.
% 0.94/1.55 { ! c_Orderings_Oord__class_Oless( tc_Int_Oint, c_Groups_Ozero__class_Ozero
% 0.94/1.55 ( tc_Int_Oint ), X ), c_Orderings_Oord__class_Oless__eq( tc_Int_Oint,
% 0.94/1.55 c_Groups_Oone__class_Oone( tc_Int_Oint ), X ) }.
% 0.94/1.55 { ! c_Orderings_Oord__class_Oless__eq( tc_Int_Oint, Y,
% 0.94/1.55 c_Groups_Ominus__class_Ominus( tc_Int_Oint, X, c_Groups_Oone__class_Oone
% 0.94/1.55 ( tc_Int_Oint ) ) ), c_Orderings_Oord__class_Oless( tc_Int_Oint, Y, X ) }
% 0.94/1.55 .
% 0.94/1.55 { ! c_Orderings_Oord__class_Oless( tc_Int_Oint, Y, X ),
% 0.94/1.55 c_Orderings_Oord__class_Oless__eq( tc_Int_Oint, Y,
% 0.94/1.55 c_Groups_Ominus__class_Ominus( tc_Int_Oint, X, c_Groups_Oone__class_Oone
% 0.94/1.55 ( tc_Int_Oint ) ) ) }.
% 0.94/1.55 { ! c_Groups_Oplus__class_Oplus( tc_RealDef_Oreal,
% 0.94/1.55 c_Groups_Otimes__class_Otimes( tc_RealDef_Oreal, Y, Y ),
% 0.94/1.55 c_Groups_Otimes__class_Otimes( tc_RealDef_Oreal, X, X ) ) =
% 0.94/1.55 c_Groups_Ozero__class_Ozero( tc_RealDef_Oreal ), Y =
% 0.94/1.55 c_Groups_Ozero__class_Ozero( tc_RealDef_Oreal ) }.
% 0.94/1.55 { ! c_Groups_Oplus__class_Oplus( tc_RealDef_Oreal,
% 0.94/1.55 c_Groups_Otimes__class_Otimes( tc_RealDef_Oreal, Y, Y ),
% 0.94/1.55 c_Groups_Otimes__class_Otimes( tc_RealDef_Oreal, X, X ) ) =
% 0.94/1.55 c_Groups_Ozero__class_Ozero( tc_RealDef_Oreal ), X =
% 0.94/1.55 c_Groups_Ozero__class_Ozero( tc_RealDef_Oreal ) }.
% 0.94/1.55 { ! Y = c_Groups_Ozero__class_Ozero( tc_RealDef_Oreal ), ! X =
% 0.94/1.55 c_Groups_Ozero__class_Ozero( tc_RealDef_Oreal ),
% 0.94/1.55 c_Groups_Oplus__class_Oplus( tc_RealDef_Oreal,
% 0.94/1.55 c_Groups_Otimes__class_Otimes( tc_RealDef_Oreal, Y, Y ),
% 0.94/1.55 c_Groups_Otimes__class_Otimes( tc_RealDef_Oreal, X, X ) ) =
% 0.94/1.55 c_Groups_Ozero__class_Ozero( tc_RealDef_Oreal ) }.
% 0.94/1.55 { ! c_Finite__Set_Ofinite( tc_Nat_Onat, X ), X =
% 0.94/1.55 c_Orderings_Obot__class_Obot( tc_fun( tc_Nat_Onat, tc_HOL_Obool ) ), !
% 0.94/1.55 c_GCD_Ogcd__class_OLcm( tc_Nat_Onat, X ) = c_Groups_Ozero__class_Ozero(
% 0.94/1.55 tc_Nat_Onat ), c_member( tc_Nat_Onat, c_Groups_Ozero__class_Ozero(
% 0.94/1.55 tc_Nat_Onat ), X ) }.
% 0.94/1.55 { ! c_Finite__Set_Ofinite( tc_Nat_Onat, X ), X =
% 0.94/1.55 c_Orderings_Obot__class_Obot( tc_fun( tc_Nat_Onat, tc_HOL_Obool ) ), !
% 0.94/1.55 c_member( tc_Nat_Onat, c_Groups_Ozero__class_Ozero( tc_Nat_Onat ), X ),
% 0.94/1.55 c_GCD_Ogcd__class_OLcm( tc_Nat_Onat, X ) = c_Groups_Ozero__class_Ozero(
% 0.94/1.55 tc_Nat_Onat ) }.
% 0.94/1.55 { ! class_Rings_Osemiring__1( X ), ! c_member( X, Y,
% 0.94/1.55 c_Nat_Osemiring__1__class_ONats( X ) ), ! c_member( X, Z,
% 0.94/1.55 c_Nat_Osemiring__1__class_ONats( X ) ), c_member( X,
% 0.94/1.55 c_Groups_Otimes__class_Otimes( X, Y, Z ), c_Nat_Osemiring__1__class_ONats
% 0.94/1.55 ( X ) ) }.
% 0.94/1.55 { c_Groups_Otimes__class_Otimes( tc_RealDef_Oreal,
% 0.94/1.55 c_Groups_Oone__class_Oone( tc_RealDef_Oreal ), X ) = X }.
% 0.94/1.55 { ! c_Groups_Otimes__class_Otimes( tc_Nat_Onat, Y, X ) =
% 0.94/1.55 c_Groups_Oone__class_Oone( tc_Nat_Onat ), Y = c_Groups_Oone__class_Oone(
% 0.94/1.55 tc_Nat_Onat ) }.
% 0.94/1.55 { ! c_Groups_Otimes__class_Otimes( tc_Nat_Onat, Y, X ) =
% 0.94/1.55 c_Groups_Oone__class_Oone( tc_Nat_Onat ), X = c_Groups_Oone__class_Oone(
% 0.94/1.55 tc_Nat_Onat ) }.
% 0.94/1.55 { ! Y = c_Groups_Oone__class_Oone( tc_Nat_Onat ), ! X =
% 0.94/1.55 c_Groups_Oone__class_Oone( tc_Nat_Onat ), c_Groups_Otimes__class_Otimes(
% 0.94/1.55 tc_Nat_Onat, Y, X ) = c_Groups_Oone__class_Oone( tc_Nat_Onat ) }.
% 0.94/1.55 { c_Groups_Otimes__class_Otimes( tc_Nat_Onat, X, c_Groups_Oone__class_Oone
% 0.94/1.55 ( tc_Nat_Onat ) ) = X }.
% 0.94/1.55 { ! c_Groups_Oone__class_Oone( tc_Nat_Onat ) =
% 0.94/1.55 c_Groups_Otimes__class_Otimes( tc_Nat_Onat, Y, X ), Y =
% 0.94/1.55 c_Groups_Oone__class_Oone( tc_Nat_Onat ) }.
% 0.94/1.55 { ! c_Groups_Oone__class_Oone( tc_Nat_Onat ) =
% 0.94/1.55 c_Groups_Otimes__class_Otimes( tc_Nat_Onat, Y, X ), X =
% 0.94/1.55 c_Groups_Oone__class_Oone( tc_Nat_Onat ) }.
% 0.94/1.55 { ! Y = c_Groups_Oone__class_Oone( tc_Nat_Onat ), ! X =
% 0.94/1.55 c_Groups_Oone__class_Oone( tc_Nat_Onat ), c_Groups_Oone__class_Oone(
% 0.94/1.55 tc_Nat_Onat ) = c_Groups_Otimes__class_Otimes( tc_Nat_Onat, Y, X ) }.
% 0.94/1.55 { c_Groups_Otimes__class_Otimes( tc_Nat_Onat, c_Groups_Oone__class_Oone(
% 0.94/1.55 tc_Nat_Onat ), X ) = X }.
% 0.94/1.55 { ! class_Groups_Ocomm__monoid__mult( X ), c_Groups_Otimes__class_Otimes( X
% 0.94/1.55 , Y, c_Groups_Oone__class_Oone( X ) ) = Y }.
% 0.94/1.55 { ! class_Groups_Omonoid__mult( X ), c_Groups_Otimes__class_Otimes( X, Y,
% 0.94/1.55 c_Groups_Oone__class_Oone( X ) ) = Y }.
% 0.94/1.55 { ! class_Groups_Ocomm__monoid__mult( X ), c_Groups_Otimes__class_Otimes( X
% 0.94/1.55 , c_Groups_Oone__class_Oone( X ), Y ) = Y }.
% 0.94/1.55 { ! class_Groups_Omonoid__mult( X ), c_Groups_Otimes__class_Otimes( X,
% 0.94/1.55 c_Groups_Oone__class_Oone( X ), Y ) = Y }.
% 0.94/1.55 { ! class_Rings_Olinordered__semidom( X ), ! c_Orderings_Oord__class_Oless
% 0.94/1.55 ( X, c_Groups_Oone__class_Oone( X ), Y ), ! c_Orderings_Oord__class_Oless
% 0.94/1.55 ( X, c_Groups_Oone__class_Oone( X ), Z ), c_Orderings_Oord__class_Oless(
% 0.94/1.55 X, c_Groups_Oone__class_Oone( X ), c_Groups_Otimes__class_Otimes( X, Y, Z
% 0.94/1.55 ) ) }.
% 0.94/1.55 { ! c_Finite__Set_Ofinite( tc_Nat_Onat, X ), ! c_member( tc_Nat_Onat,
% 0.94/1.55 c_Groups_Ozero__class_Ozero( tc_Nat_Onat ), X ), c_GCD_Ogcd__class_OLcm(
% 0.94/1.55 tc_Nat_Onat, X ) = c_Groups_Ozero__class_Ozero( tc_Nat_Onat ) }.
% 0.94/1.55 { ! c_Groups_Otimes__class_Otimes( tc_Nat_Onat, Y, X ) = c_Nat_OSuc(
% 0.94/1.55 c_Groups_Ozero__class_Ozero( tc_Nat_Onat ) ), Y = c_Nat_OSuc(
% 0.94/1.55 c_Groups_Ozero__class_Ozero( tc_Nat_Onat ) ) }.
% 0.94/1.55 { ! c_Groups_Otimes__class_Otimes( tc_Nat_Onat, Y, X ) = c_Nat_OSuc(
% 0.94/1.55 c_Groups_Ozero__class_Ozero( tc_Nat_Onat ) ), X = c_Nat_OSuc(
% 0.94/1.55 c_Groups_Ozero__class_Ozero( tc_Nat_Onat ) ) }.
% 0.94/1.55 { ! Y = c_Nat_OSuc( c_Groups_Ozero__class_Ozero( tc_Nat_Onat ) ), ! X =
% 0.94/1.55 c_Nat_OSuc( c_Groups_Ozero__class_Ozero( tc_Nat_Onat ) ),
% 0.94/1.55 c_Groups_Otimes__class_Otimes( tc_Nat_Onat, Y, X ) = c_Nat_OSuc(
% 0.94/1.55 c_Groups_Ozero__class_Ozero( tc_Nat_Onat ) ) }.
% 0.94/1.55 { ! c_Orderings_Oord__class_Oless( tc_Nat_Onat, Y, X ), !
% 0.94/1.55 c_Orderings_Oord__class_Oless( tc_Nat_Onat, c_Groups_Ozero__class_Ozero(
% 0.94/1.55 tc_Nat_Onat ), Z ), c_Orderings_Oord__class_Oless( tc_Nat_Onat,
% 0.94/1.55 c_Groups_Otimes__class_Otimes( tc_Nat_Onat, Z, Y ),
% 0.94/1.55 c_Groups_Otimes__class_Otimes( tc_Nat_Onat, Z, X ) ) }.
% 0.94/1.55 { ! c_Orderings_Oord__class_Oless( tc_Nat_Onat, Y, X ), !
% 0.94/1.55 c_Orderings_Oord__class_Oless( tc_Nat_Onat, c_Groups_Ozero__class_Ozero(
% 0.94/1.55 tc_Nat_Onat ), Z ), c_Orderings_Oord__class_Oless( tc_Nat_Onat,
% 0.94/1.55 c_Groups_Otimes__class_Otimes( tc_Nat_Onat, Y, Z ),
% 0.94/1.55 c_Groups_Otimes__class_Otimes( tc_Nat_Onat, X, Z ) ) }.
% 0.94/1.55 { ! c_Orderings_Oord__class_Oless( tc_Nat_Onat,
% 0.94/1.55 c_Groups_Otimes__class_Otimes( tc_Nat_Onat, Z, Y ),
% 0.94/1.55 c_Groups_Otimes__class_Otimes( tc_Nat_Onat, X, Y ) ),
% 0.94/1.55 c_Orderings_Oord__class_Oless( tc_Nat_Onat, c_Groups_Ozero__class_Ozero(
% 0.94/1.55 tc_Nat_Onat ), Y ) }.
% 0.94/1.55 { ! c_Orderings_Oord__class_Oless( tc_Nat_Onat,
% 0.94/1.55 c_Groups_Otimes__class_Otimes( tc_Nat_Onat, Z, Y ),
% 0.94/1.55 c_Groups_Otimes__class_Otimes( tc_Nat_Onat, X, Y ) ),
% 0.94/1.55 c_Orderings_Oord__class_Oless( tc_Nat_Onat, Z, X ) }.
% 0.94/1.55 { ! c_Orderings_Oord__class_Oless( tc_Nat_Onat, c_Groups_Ozero__class_Ozero
% 0.94/1.55 ( tc_Nat_Onat ), Y ), ! c_Orderings_Oord__class_Oless( tc_Nat_Onat, Z, X
% 0.94/1.55 ), c_Orderings_Oord__class_Oless( tc_Nat_Onat,
% 0.94/1.55 c_Groups_Otimes__class_Otimes( tc_Nat_Onat, Z, Y ),
% 0.94/1.55 c_Groups_Otimes__class_Otimes( tc_Nat_Onat, X, Y ) ) }.
% 0.94/1.55 { ! c_Orderings_Oord__class_Oless( tc_Nat_Onat,
% 0.94/1.55 c_Groups_Otimes__class_Otimes( tc_Nat_Onat, Z, Y ),
% 0.94/1.55 c_Groups_Otimes__class_Otimes( tc_Nat_Onat, Z, X ) ),
% 0.94/1.55 c_Orderings_Oord__class_Oless( tc_Nat_Onat, c_Groups_Ozero__class_Ozero(
% 0.94/1.55 tc_Nat_Onat ), Z ) }.
% 0.94/1.55 { ! c_Orderings_Oord__class_Oless( tc_Nat_Onat,
% 0.94/1.55 c_Groups_Otimes__class_Otimes( tc_Nat_Onat, Z, Y ),
% 0.94/1.55 c_Groups_Otimes__class_Otimes( tc_Nat_Onat, Z, X ) ),
% 0.94/1.55 c_Orderings_Oord__class_Oless( tc_Nat_Onat, Y, X ) }.
% 0.94/1.55 { ! c_Orderings_Oord__class_Oless( tc_Nat_Onat, c_Groups_Ozero__class_Ozero
% 0.94/1.55 ( tc_Nat_Onat ), Z ), ! c_Orderings_Oord__class_Oless( tc_Nat_Onat, Y, X
% 0.94/1.55 ), c_Orderings_Oord__class_Oless( tc_Nat_Onat,
% 0.94/1.55 c_Groups_Otimes__class_Otimes( tc_Nat_Onat, Z, Y ),
% 0.94/1.55 c_Groups_Otimes__class_Otimes( tc_Nat_Onat, Z, X ) ) }.
% 0.94/1.55 { ! c_Orderings_Oord__class_Oless( tc_Nat_Onat, c_Groups_Ozero__class_Ozero
% 0.94/1.55 ( tc_Nat_Onat ), c_Groups_Otimes__class_Otimes( tc_Nat_Onat, Y, X ) ),
% 0.94/1.55 c_Orderings_Oord__class_Oless( tc_Nat_Onat, c_Groups_Ozero__class_Ozero(
% 0.94/1.55 tc_Nat_Onat ), Y ) }.
% 0.94/1.55 { ! c_Orderings_Oord__class_Oless( tc_Nat_Onat, c_Groups_Ozero__class_Ozero
% 0.94/1.55 ( tc_Nat_Onat ), c_Groups_Otimes__class_Otimes( tc_Nat_Onat, Y, X ) ),
% 0.94/1.55 c_Orderings_Oord__class_Oless( tc_Nat_Onat, c_Groups_Ozero__class_Ozero(
% 0.94/1.55 tc_Nat_Onat ), X ) }.
% 0.94/1.55 { ! c_Orderings_Oord__class_Oless( tc_Nat_Onat, c_Groups_Ozero__class_Ozero
% 0.94/1.55 ( tc_Nat_Onat ), Y ), ! c_Orderings_Oord__class_Oless( tc_Nat_Onat,
% 0.94/1.55 c_Groups_Ozero__class_Ozero( tc_Nat_Onat ), X ),
% 0.94/1.55 c_Orderings_Oord__class_Oless( tc_Nat_Onat, c_Groups_Ozero__class_Ozero(
% 0.94/1.55 tc_Nat_Onat ), c_Groups_Otimes__class_Otimes( tc_Nat_Onat, Y, X ) ) }.
% 0.94/1.55 { ! c_Orderings_Oord__class_Oless( tc_RealDef_Oreal,
% 0.94/1.55 c_Groups_Ozero__class_Ozero( tc_RealDef_Oreal ), X ), !
% 0.94/1.55 c_Orderings_Oord__class_Oless( tc_RealDef_Oreal,
% 0.94/1.55 c_Groups_Otimes__class_Otimes( tc_RealDef_Oreal, Z, X ),
% 0.94/1.55 c_Groups_Otimes__class_Otimes( tc_RealDef_Oreal, Y, X ) ),
% 0.94/1.55 c_Orderings_Oord__class_Oless( tc_RealDef_Oreal, Z, Y ) }.
% 0.94/1.55 { ! c_Orderings_Oord__class_Oless( tc_RealDef_Oreal,
% 0.94/1.55 c_Groups_Ozero__class_Ozero( tc_RealDef_Oreal ), X ), !
% 0.94/1.55 c_Orderings_Oord__class_Oless( tc_RealDef_Oreal, Z, Y ),
% 0.94/1.55 c_Orderings_Oord__class_Oless( tc_RealDef_Oreal,
% 0.94/1.55 c_Groups_Otimes__class_Otimes( tc_RealDef_Oreal, Z, X ),
% 0.94/1.55 c_Groups_Otimes__class_Otimes( tc_RealDef_Oreal, Y, X ) ) }.
% 0.94/1.55 { ! c_Orderings_Oord__class_Oless( tc_RealDef_Oreal,
% 0.94/1.55 c_Groups_Ozero__class_Ozero( tc_RealDef_Oreal ), X ), !
% 0.94/1.55 c_Orderings_Oord__class_Oless( tc_RealDef_Oreal,
% 0.94/1.55 c_Groups_Ozero__class_Ozero( tc_RealDef_Oreal ), Y ),
% 0.94/1.55 c_Orderings_Oord__class_Oless( tc_RealDef_Oreal,
% 0.94/1.55 c_Groups_Ozero__class_Ozero( tc_RealDef_Oreal ),
% 0.94/1.55 c_Groups_Otimes__class_Otimes( tc_RealDef_Oreal, X, Y ) ) }.
% 0.94/1.55 { ! c_Orderings_Oord__class_Oless( tc_RealDef_Oreal,
% 0.94/1.55 c_Groups_Ozero__class_Ozero( tc_RealDef_Oreal ), X ), !
% 0.94/1.55 c_Orderings_Oord__class_Oless( tc_RealDef_Oreal, Z, Y ),
% 0.94/1.55 c_Orderings_Oord__class_Oless( tc_RealDef_Oreal,
% 0.94/1.55 c_Groups_Otimes__class_Otimes( tc_RealDef_Oreal, X, Z ),
% 0.94/1.55 c_Groups_Otimes__class_Otimes( tc_RealDef_Oreal, X, Y ) ) }.
% 0.94/1.55 { ! c_Orderings_Oord__class_Oless( tc_Nat_Onat,
% 0.94/1.55 c_Groups_Otimes__class_Otimes( tc_Nat_Onat, c_Nat_OSuc( Z ), Y ),
% 0.94/1.55 c_Groups_Otimes__class_Otimes( tc_Nat_Onat, c_Nat_OSuc( Z ), X ) ),
% 0.94/1.55 c_Orderings_Oord__class_Oless( tc_Nat_Onat, Y, X ) }.
% 0.94/1.55 { ! c_Orderings_Oord__class_Oless( tc_Nat_Onat, Y, X ),
% 0.94/1.55 c_Orderings_Oord__class_Oless( tc_Nat_Onat, c_Groups_Otimes__class_Otimes
% 0.94/1.55 ( tc_Nat_Onat, c_Nat_OSuc( Z ), Y ), c_Groups_Otimes__class_Otimes(
% 0.94/1.55 tc_Nat_Onat, c_Nat_OSuc( Z ), X ) ) }.
% 0.94/1.55 { ! c_Orderings_Oord__class_Oless__eq( tc_Nat_Onat,
% 0.94/1.55 c_Groups_Otimes__class_Otimes( tc_Nat_Onat, c_Nat_OSuc( Z ), Y ),
% 0.94/1.55 c_Groups_Otimes__class_Otimes( tc_Nat_Onat, c_Nat_OSuc( Z ), X ) ),
% 0.94/1.55 c_Orderings_Oord__class_Oless__eq( tc_Nat_Onat, Y, X ) }.
% 0.94/1.55 { ! c_Orderings_Oord__class_Oless__eq( tc_Nat_Onat, Y, X ),
% 0.94/1.55 c_Orderings_Oord__class_Oless__eq( tc_Nat_Onat,
% 0.94/1.55 c_Groups_Otimes__class_Otimes( tc_Nat_Onat, c_Nat_OSuc( Z ), Y ),
% 0.94/1.55 c_Groups_Otimes__class_Otimes( tc_Nat_Onat, c_Nat_OSuc( Z ), X ) ) }.
% 0.94/1.55 { ! c_Groups_Otimes__class_Otimes( tc_Nat_Onat, c_Nat_OSuc( Z ), Y ) =
% 0.94/1.55 c_Groups_Otimes__class_Otimes( tc_Nat_Onat, c_Nat_OSuc( Z ), X ), Y = X }
% 0.94/1.55 .
% 0.94/1.55 { ! Y = X, c_Groups_Otimes__class_Otimes( tc_Nat_Onat, c_Nat_OSuc( Z ), Y )
% 0.94/1.55 = c_Groups_Otimes__class_Otimes( tc_Nat_Onat, c_Nat_OSuc( Z ), X ) }.
% 0.94/1.55 { ! class_Groups_Oab__semigroup__mult( X ), c_Groups_Otimes__class_Otimes(
% 0.94/1.55 X, c_Groups_Otimes__class_Otimes( X, T, Z ), Y ) =
% 0.94/1.55 c_Groups_Otimes__class_Otimes( X, T, c_Groups_Otimes__class_Otimes( X, Z
% 0.94/1.55 , Y ) ) }.
% 0.94/1.55 { c_Orderings_Oord__class_Oless__eq( tc_Nat_Onat, X,
% 0.94/1.55 c_Groups_Otimes__class_Otimes( tc_Nat_Onat, X, X ) ) }.
% 0.94/1.55 { c_Orderings_Oord__class_Oless__eq( tc_Nat_Onat, X,
% 0.94/1.55 c_Groups_Otimes__class_Otimes( tc_Nat_Onat, X,
% 0.94/1.55 c_Groups_Otimes__class_Otimes( tc_Nat_Onat, X, X ) ) ) }.
% 0.94/1.55 { ! c_Orderings_Oord__class_Oless__eq( tc_Nat_Onat, Y, X ),
% 0.94/1.55 c_Orderings_Oord__class_Oless__eq( tc_Nat_Onat,
% 0.94/1.55 c_Groups_Otimes__class_Otimes( tc_Nat_Onat, Y, Z ),
% 0.94/1.55 c_Groups_Otimes__class_Otimes( tc_Nat_Onat, X, Z ) ) }.
% 0.94/1.55 { ! c_Orderings_Oord__class_Oless__eq( tc_Nat_Onat, Y, X ),
% 0.94/1.55 c_Orderings_Oord__class_Oless__eq( tc_Nat_Onat,
% 0.94/1.55 c_Groups_Otimes__class_Otimes( tc_Nat_Onat, Z, Y ),
% 0.94/1.55 c_Groups_Otimes__class_Otimes( tc_Nat_Onat, Z, X ) ) }.
% 0.94/1.55 { ! c_Orderings_Oord__class_Oless__eq( tc_Nat_Onat, Y, X ), !
% 0.94/1.55 c_Orderings_Oord__class_Oless__eq( tc_Nat_Onat, T, Z ),
% 0.94/1.55 c_Orderings_Oord__class_Oless__eq( tc_Nat_Onat,
% 0.94/1.55 c_Groups_Otimes__class_Otimes( tc_Nat_Onat, Y, T ),
% 0.94/1.55 c_Groups_Otimes__class_Otimes( tc_Nat_Onat, X, Z ) ) }.
% 0.94/1.55 { ! class_Lattices_Oab__semigroup__idem__mult( X ),
% 0.94/1.55 c_Groups_Otimes__class_Otimes( X, Y, Y ) = Y }.
% 0.94/1.55 { ! class_Lattices_Oab__semigroup__idem__mult( X ),
% 0.94/1.55 c_Groups_Otimes__class_Otimes( X, Y, Y ) = Y }.
% 0.94/1.55 { ! class_Lattices_Oab__semigroup__idem__mult( X ),
% 0.94/1.55 c_Groups_Otimes__class_Otimes( X, Z, c_Groups_Otimes__class_Otimes( X, Z
% 0.94/1.55 , Y ) ) = c_Groups_Otimes__class_Otimes( X, Z, Y ) }.
% 0.94/1.55 { c_RealDef_Oreal( tc_Nat_Onat, c_Groups_Otimes__class_Otimes( tc_Nat_Onat
% 0.94/1.55 , Y, X ) ) = c_Groups_Otimes__class_Otimes( tc_RealDef_Oreal,
% 0.94/1.55 c_RealDef_Oreal( tc_Nat_Onat, Y ), c_RealDef_Oreal( tc_Nat_Onat, X ) ) }
% 0.94/1.55 .
% 0.94/1.55 { ! c_Finite__Set_Ofinite( tc_Nat_Onat, X ), ! c_member( tc_Nat_Onat, Y, X
% 0.94/1.55 ), c_Orderings_Oord__class_Oless__eq( tc_Nat_Onat, Y, skol77( X ) ) }.
% 0.94/1.55 { ! c_Orderings_Oord__class_Oless__eq( tc_Nat_Onat, skol99( Z, Y ), Y ),
% 0.94/1.55 c_Finite__Set_Ofinite( tc_Nat_Onat, X ) }.
% 0.94/1.55 { c_member( tc_Nat_Onat, skol99( X, Y ), X ), c_Finite__Set_Ofinite(
% 0.94/1.55 tc_Nat_Onat, X ) }.
% 0.94/1.55 { ! c_Finite__Set_Ofinite( tc_Nat_Onat, X ), ! c_member( tc_Nat_Onat, Y, X
% 0.94/1.55 ), c_Orderings_Oord__class_Oless( tc_Nat_Onat, Y, skol78( X ) ) }.
% 0.94/1.55 { ! c_Orderings_Oord__class_Oless( tc_Nat_Onat, skol100( Z, Y ), Y ),
% 0.94/1.55 c_Finite__Set_Ofinite( tc_Nat_Onat, X ) }.
% 0.94/1.55 { c_member( tc_Nat_Onat, skol100( X, Y ), X ), c_Finite__Set_Ofinite(
% 0.94/1.55 tc_Nat_Onat, X ) }.
% 0.94/1.55 { ! class_Rings_Ono__zero__divisors( X ), ! c_Groups_Otimes__class_Otimes(
% 0.94/1.55 X, Z, Y ) = c_Groups_Ozero__class_Ozero( X ), Z =
% 0.94/1.55 c_Groups_Ozero__class_Ozero( X ), Y = c_Groups_Ozero__class_Ozero( X ) }
% 0.94/1.55 .
% 0.94/1.55 { ! class_Rings_Ono__zero__divisors( X ), Y = c_Groups_Ozero__class_Ozero(
% 0.94/1.55 X ), Z = c_Groups_Ozero__class_Ozero( X ), !
% 0.94/1.55 c_Groups_Otimes__class_Otimes( X, Y, Z ) = c_Groups_Ozero__class_Ozero( X
% 0.94/1.55 ) }.
% 0.94/1.55 { ! class_Rings_Oring__no__zero__divisors( X ), !
% 0.94/1.55 c_Groups_Otimes__class_Otimes( X, Z, Y ) = c_Groups_Ozero__class_Ozero( X
% 0.94/1.55 ), Z = c_Groups_Ozero__class_Ozero( X ), Y = c_Groups_Ozero__class_Ozero
% 0.94/1.55 ( X ) }.
% 0.94/1.55 { ! class_Rings_Oring__no__zero__divisors( X ), ! Z =
% 0.94/1.55 c_Groups_Ozero__class_Ozero( X ), c_Groups_Otimes__class_Otimes( X, Z, Y
% 0.94/1.55 ) = c_Groups_Ozero__class_Ozero( X ) }.
% 0.94/1.55 { ! class_Rings_Oring__no__zero__divisors( X ), ! Y =
% 0.94/1.55 c_Groups_Ozero__class_Ozero( X ), c_Groups_Otimes__class_Otimes( X, Z, Y
% 0.94/1.55 ) = c_Groups_Ozero__class_Ozero( X ) }.
% 0.94/1.55 { ! class_Rings_Omult__zero( X ), c_Groups_Otimes__class_Otimes( X, Y,
% 0.94/1.55 c_Groups_Ozero__class_Ozero( X ) ) = c_Groups_Ozero__class_Ozero( X ) }.
% 0.94/1.55 { ! class_Rings_Omult__zero( X ), c_Groups_Otimes__class_Otimes( X,
% 0.94/1.55 c_Groups_Ozero__class_Ozero( X ), Y ) = c_Groups_Ozero__class_Ozero( X )
% 0.94/1.55 }.
% 0.94/1.55 { ! c_Groups_Otimes__class_Otimes( tc_Nat_Onat, Z, Y ) =
% 0.94/1.55 c_Groups_Otimes__class_Otimes( tc_Nat_Onat, X, Y ), Z = X, Y =
% 0.94/1.55 c_Groups_Ozero__class_Ozero( tc_Nat_Onat ) }.
% 0.94/1.55 { ! Z = X, c_Groups_Otimes__class_Otimes( tc_Nat_Onat, Z, Y ) =
% 0.94/1.55 c_Groups_Otimes__class_Otimes( tc_Nat_Onat, X, Y ) }.
% 0.94/1.55 { ! Y = c_Groups_Ozero__class_Ozero( tc_Nat_Onat ),
% 0.94/1.55 c_Groups_Otimes__class_Otimes( tc_Nat_Onat, Z, Y ) =
% 0.94/1.55 c_Groups_Otimes__class_Otimes( tc_Nat_Onat, X, Y ) }.
% 0.94/1.55 { ! c_Groups_Otimes__class_Otimes( tc_Nat_Onat, Z, Y ) =
% 0.94/1.55 c_Groups_Otimes__class_Otimes( tc_Nat_Onat, Z, X ), Y = X, Z =
% 0.94/1.55 c_Groups_Ozero__class_Ozero( tc_Nat_Onat ) }.
% 0.94/1.55 { ! Y = X, c_Groups_Otimes__class_Otimes( tc_Nat_Onat, Z, Y ) =
% 0.94/1.55 c_Groups_Otimes__class_Otimes( tc_Nat_Onat, Z, X ) }.
% 0.94/1.55 { ! Z = c_Groups_Ozero__class_Ozero( tc_Nat_Onat ),
% 0.94/1.55 c_Groups_Otimes__class_Otimes( tc_Nat_Onat, Z, Y ) =
% 0.94/1.55 c_Groups_Otimes__class_Otimes( tc_Nat_Onat, Z, X ) }.
% 0.94/1.55 { ! c_Groups_Otimes__class_Otimes( tc_Nat_Onat, Y, X ) =
% 0.94/1.55 c_Groups_Ozero__class_Ozero( tc_Nat_Onat ), Y =
% 0.94/1.55 c_Groups_Ozero__class_Ozero( tc_Nat_Onat ), X =
% 0.94/1.55 c_Groups_Ozero__class_Ozero( tc_Nat_Onat ) }.
% 0.94/1.55 { ! Y = c_Groups_Ozero__class_Ozero( tc_Nat_Onat ),
% 0.94/1.55 c_Groups_Otimes__class_Otimes( tc_Nat_Onat, Y, X ) =
% 0.94/1.55 c_Groups_Ozero__class_Ozero( tc_Nat_Onat ) }.
% 0.94/1.55 { ! X = c_Groups_Ozero__class_Ozero( tc_Nat_Onat ),
% 0.94/1.55 c_Groups_Otimes__class_Otimes( tc_Nat_Onat, Y, X ) =
% 0.94/1.55 c_Groups_Ozero__class_Ozero( tc_Nat_Onat ) }.
% 0.94/1.55 { c_Groups_Otimes__class_Otimes( tc_Nat_Onat, X,
% 0.94/1.55 c_Groups_Ozero__class_Ozero( tc_Nat_Onat ) ) =
% 0.94/1.55 c_Groups_Ozero__class_Ozero( tc_Nat_Onat ) }.
% 0.94/1.55 { c_Groups_Otimes__class_Otimes( tc_Nat_Onat, c_Groups_Ozero__class_Ozero(
% 0.94/1.55 tc_Nat_Onat ), X ) = c_Groups_Ozero__class_Ozero( tc_Nat_Onat ) }.
% 0.94/1.55 { X = c_Groups_Ozero__class_Ozero( tc_RealDef_Oreal ), !
% 0.94/1.55 c_Groups_Otimes__class_Otimes( tc_RealDef_Oreal, Z, X ) =
% 0.94/1.55 c_Groups_Otimes__class_Otimes( tc_RealDef_Oreal, Y, X ), Z = Y }.
% 0.94/1.55 { X = c_Groups_Ozero__class_Ozero( tc_RealDef_Oreal ), ! Z = Y,
% 0.94/1.55 c_Groups_Otimes__class_Otimes( tc_RealDef_Oreal, Z, X ) =
% 0.94/1.55 c_Groups_Otimes__class_Otimes( tc_RealDef_Oreal, Y, X ) }.
% 0.94/1.55 { X = c_Groups_Ozero__class_Ozero( tc_RealDef_Oreal ), !
% 0.94/1.55 c_Groups_Otimes__class_Otimes( tc_RealDef_Oreal, X, Z ) =
% 0.94/1.55 c_Groups_Otimes__class_Otimes( tc_RealDef_Oreal, X, Y ), Z = Y }.
% 0.94/1.55 { X = c_Groups_Ozero__class_Ozero( tc_RealDef_Oreal ), ! Z = Y,
% 0.94/1.55 c_Groups_Otimes__class_Otimes( tc_RealDef_Oreal, X, Z ) =
% 0.94/1.55 c_Groups_Otimes__class_Otimes( tc_RealDef_Oreal, X, Y ) }.
% 0.94/1.55 { ! c_Orderings_Oord__class_Oless__eq( tc_RealDef_Oreal,
% 0.94/1.55 c_Groups_Ozero__class_Ozero( tc_RealDef_Oreal ), X ), !
% 0.94/1.55 c_Orderings_Oord__class_Oless__eq( tc_RealDef_Oreal,
% 0.94/1.55 c_Groups_Ozero__class_Ozero( tc_RealDef_Oreal ), Y ),
% 0.94/1.55 c_Orderings_Oord__class_Oless__eq( tc_Nat_Onat,
% 0.94/1.55 c_Groups_Otimes__class_Otimes( tc_Nat_Onat, c_RComplete_Onatfloor( X ),
% 0.94/1.55 c_RComplete_Onatfloor( Y ) ), c_RComplete_Onatfloor(
% 0.94/1.55 c_Groups_Otimes__class_Otimes( tc_RealDef_Oreal, X, Y ) ) ) }.
% 0.94/1.55 { ! class_Rings_Olinordered__ring__strict( X ), !
% 0.94/1.55 c_Orderings_Oord__class_Oless( X, Z, Y ), ! c_Orderings_Oord__class_Oless
% 0.94/1.55 ( X, T, c_Groups_Ozero__class_Ozero( X ) ), c_Orderings_Oord__class_Oless
% 0.94/1.55 ( X, c_Groups_Otimes__class_Otimes( X, T, Y ),
% 0.94/1.55 c_Groups_Otimes__class_Otimes( X, T, Z ) ) }.
% 0.94/1.55 { ! class_Rings_Olinordered__ring__strict( X ), !
% 0.94/1.55 c_Orderings_Oord__class_Oless( X, Z, Y ), ! c_Orderings_Oord__class_Oless
% 0.94/1.55 ( X, T, c_Groups_Ozero__class_Ozero( X ) ), c_Orderings_Oord__class_Oless
% 0.94/1.55 ( X, c_Groups_Otimes__class_Otimes( X, Y, T ),
% 0.94/1.55 c_Groups_Otimes__class_Otimes( X, Z, T ) ) }.
% 0.94/1.55 { ! class_Rings_Olinordered__comm__semiring__strict( X ), !
% 0.94/1.55 c_Orderings_Oord__class_Oless( X, Z, Y ), ! c_Orderings_Oord__class_Oless
% 0.94/1.55 ( X, c_Groups_Ozero__class_Ozero( X ), T ), c_Orderings_Oord__class_Oless
% 0.94/1.55 ( X, c_Groups_Otimes__class_Otimes( X, T, Z ),
% 0.94/1.55 c_Groups_Otimes__class_Otimes( X, T, Y ) ) }.
% 0.94/1.55 { ! class_Rings_Olinordered__semiring__strict( X ), !
% 0.94/1.55 c_Orderings_Oord__class_Oless( X, Z, Y ), ! c_Orderings_Oord__class_Oless
% 0.94/1.55 ( X, c_Groups_Ozero__class_Ozero( X ), T ), c_Orderings_Oord__class_Oless
% 0.94/1.55 ( X, c_Groups_Otimes__class_Otimes( X, T, Z ),
% 0.94/1.55 c_Groups_Otimes__class_Otimes( X, T, Y ) ) }.
% 0.94/1.55 { ! class_Rings_Olinordered__semiring__strict( X ), !
% 0.94/1.55 c_Orderings_Oord__class_Oless( X, Z, Y ), ! c_Orderings_Oord__class_Oless
% 0.94/1.55 ( X, c_Groups_Ozero__class_Ozero( X ), T ), c_Orderings_Oord__class_Oless
% 0.94/1.55 ( X, c_Groups_Otimes__class_Otimes( X, Z, T ),
% 0.94/1.55 c_Groups_Otimes__class_Otimes( X, Y, T ) ) }.
% 0.94/1.55 { ! class_Rings_Olinordered__ring__strict( X ), !
% 0.94/1.55 c_Orderings_Oord__class_Oless( X, Y, c_Groups_Ozero__class_Ozero( X ) ),
% 0.94/1.55 ! c_Orderings_Oord__class_Oless( X, Z, c_Groups_Ozero__class_Ozero( X ) )
% 0.94/1.55 , c_Orderings_Oord__class_Oless( X, c_Groups_Ozero__class_Ozero( X ),
% 0.94/1.55 c_Groups_Otimes__class_Otimes( X, Y, Z ) ) }.
% 0.94/1.55 { ! class_Rings_Olinordered__semiring__strict( X ), !
% 0.94/1.55 c_Orderings_Oord__class_Oless( X, Y, c_Groups_Ozero__class_Ozero( X ) ),
% 0.94/1.55 ! c_Orderings_Oord__class_Oless( X, c_Groups_Ozero__class_Ozero( X ), Z )
% 0.94/1.55 , c_Orderings_Oord__class_Oless( X, c_Groups_Otimes__class_Otimes( X, Y,
% 0.94/1.55 Z ), c_Groups_Ozero__class_Ozero( X ) ) }.
% 0.94/1.55 { ! class_Rings_Olinordered__ring__strict( X ), !
% 0.94/1.55 c_Orderings_Oord__class_Oless( X, Y, c_Groups_Ozero__class_Ozero( X ) ),
% 0.94/1.55 ! c_Orderings_Oord__class_Oless( X, c_Groups_Otimes__class_Otimes( X, Y,
% 0.94/1.55 T ), c_Groups_Otimes__class_Otimes( X, Y, Z ) ),
% 0.94/1.55 c_Orderings_Oord__class_Oless( X, Z, T ) }.
% 0.94/1.55 { ! class_Rings_Olinordered__ring__strict( X ), !
% 0.94/1.55 c_Orderings_Oord__class_Oless( X, Y, c_Groups_Ozero__class_Ozero( X ) ),
% 0.94/1.55 ! c_Orderings_Oord__class_Oless( X, Z, T ), c_Orderings_Oord__class_Oless
% 0.94/1.55 ( X, c_Groups_Otimes__class_Otimes( X, Y, T ),
% 0.94/1.55 c_Groups_Otimes__class_Otimes( X, Y, Z ) ) }.
% 0.94/1.55 { ! class_Rings_Olinordered__semiring__strict( X ), !
% 0.94/1.55 c_Orderings_Oord__class_Oless( X, c_Groups_Ozero__class_Ozero( X ),
% 0.94/1.55 c_Groups_Otimes__class_Otimes( X, Z, Y ) ), !
% 0.94/1.55 c_Orderings_Oord__class_Oless( X, c_Groups_Ozero__class_Ozero( X ), Y ),
% 0.94/1.55 c_Orderings_Oord__class_Oless( X, c_Groups_Ozero__class_Ozero( X ), Z ) }
% 0.94/1.55 .
% 0.94/1.55 { ! class_Rings_Olinordered__semiring__strict( X ), !
% 0.94/1.55 c_Orderings_Oord__class_Oless( X, c_Groups_Ozero__class_Ozero( X ),
% 0.94/1.55 c_Groups_Otimes__class_Otimes( X, Z, Y ) ), !
% 0.94/1.55 c_Orderings_Oord__class_Oless( X, c_Groups_Ozero__class_Ozero( X ), Z ),
% 0.94/1.55 c_Orderings_Oord__class_Oless( X, c_Groups_Ozero__class_Ozero( X ), Y ) }
% 0.94/1.55 .
% 0.94/1.55 { ! class_Rings_Olinordered__semiring__strict( X ), !
% 0.94/1.55 c_Orderings_Oord__class_Oless( X, c_Groups_Ozero__class_Ozero( X ), Y ),
% 0.94/1.55 ! c_Orderings_Oord__class_Oless( X, Z, c_Groups_Ozero__class_Ozero( X ) )
% 0.94/1.55 , c_Orderings_Oord__class_Oless( X, c_Groups_Otimes__class_Otimes( X, Z,
% 0.94/1.55 Y ), c_Groups_Ozero__class_Ozero( X ) ) }.
% 0.94/1.55 { ! class_Rings_Olinordered__semiring__strict( X ), !
% 0.94/1.55 c_Orderings_Oord__class_Oless( X, c_Groups_Ozero__class_Ozero( X ), Y ),
% 0.94/1.55 ! c_Orderings_Oord__class_Oless( X, Z, c_Groups_Ozero__class_Ozero( X ) )
% 0.94/1.55 , c_Orderings_Oord__class_Oless( X, c_Groups_Otimes__class_Otimes( X, Y,
% 0.94/1.55 Z ), c_Groups_Ozero__class_Ozero( X ) ) }.
% 0.94/1.55 { ! class_Rings_Olinordered__semiring__strict( X ), !
% 0.94/1.55 c_Orderings_Oord__class_Oless( X, c_Groups_Ozero__class_Ozero( X ), Y ),
% 0.94/1.55 ! c_Orderings_Oord__class_Oless( X, c_Groups_Ozero__class_Ozero( X ), Z )
% 0.94/1.55 , c_Orderings_Oord__class_Oless( X, c_Groups_Ozero__class_Ozero( X ),
% 0.94/1.55 c_Groups_Otimes__class_Otimes( X, Y, Z ) ) }.
% 0.94/1.55 { ! class_Rings_Oidom( X ), class_Rings_Oidom( tc_Polynomial_Opoly( X ) ) }
% 0.94/1.55 .
% 0.94/1.55 { ! class_Groups_Ocancel__comm__monoid__add( X ),
% 0.94/1.55 class_Groups_Ocancel__comm__monoid__add( tc_Polynomial_Opoly( X ) ) }.
% 0.94/1.55 { ! class_Rings_Ocomm__semiring__0( X ), class_Rings_Ocomm__semiring__0(
% 0.94/1.55 tc_Polynomial_Opoly( X ) ) }.
% 0.94/1.55 { ! class_Rings_Ocomm__ring__1( X ), class_Rings_Ocomm__ring__1(
% 0.94/1.55 tc_Polynomial_Opoly( X ) ) }.
% 0.94/1.55 { ! class_Rings_Ocomm__ring( X ), class_Rings_Ocomm__ring(
% 0.94/1.55 tc_Polynomial_Opoly( X ) ) }.
% 0.94/1.55 { class_Rings_Oidom( tc_RealDef_Oreal ) }.
% 0.94/1.55 { class_Groups_Ocancel__comm__monoid__add( tc_RealDef_Oreal ) }.
% 0.94/1.55 { class_Rings_Ocomm__semiring__0( tc_RealDef_Oreal ) }.
% 0.94/1.55 { class_Rings_Ocomm__ring__1( tc_RealDef_Oreal ) }.
% 0.94/1.55 { class_Rings_Ocomm__ring( tc_RealDef_Oreal ) }.
% 0.94/1.55 { class_Lattices_Obounded__lattice( tc_HOL_Obool ) }.
% 0.94/1.55 { class_Groups_Ocancel__comm__monoid__add( tc_Nat_Onat ) }.
% 0.94/1.55 { class_Rings_Ocomm__semiring__0( tc_Nat_Onat ) }.
% 0.94/1.55 { class_Rings_Oidom( tc_Int_Oint ) }.
% 0.94/1.55 { class_Groups_Ocancel__comm__monoid__add( tc_Int_Oint ) }.
% 0.94/1.55 { class_Rings_Ocomm__semiring__0( tc_Int_Oint ) }.
% 0.94/1.55 { class_Rings_Ocomm__ring__1( tc_Int_Oint ) }.
% 0.94/1.55 { class_Rings_Ocomm__ring( tc_Int_Oint ) }.
% 0.94/1.55 { ! class_Lattices_Obounded__lattice( X ), class_Lattices_Obounded__lattice
% 0.94/1.55 ( tc_fun( Y, X ) ) }.
% 0.94/1.55 { ! class_Lattices_Obounded__lattice( X ),
% 0.94/1.55 class_Lattices_Obounded__lattice__top( tc_fun( Y, X ) ) }.
% 0.94/1.55 { ! class_Lattices_Obounded__lattice( X ),
% 0.94/1.55 class_Lattices_Obounded__lattice__bot( tc_fun( Y, X ) ) }.
% 0.94/1.55 { ! class_Lattices_Olattice( X ), class_Lattices_Osemilattice__sup( tc_fun
% 0.94/1.55 ( Y, X ) ) }.
% 0.94/1.55 { ! class_Lattices_Olattice( X ), class_Lattices_Osemilattice__inf( tc_fun
% 0.94/1.55 ( Y, X ) ) }.
% 0.94/1.55 { ! class_Lattices_Odistrib__lattice( X ), class_Lattices_Odistrib__lattice
% 0.94/1.55 ( tc_fun( Y, X ) ) }.
% 0.94/1.55 { ! class_Orderings_Opreorder( X ), class_Orderings_Opreorder( tc_fun( Y, X
% 0.94/1.55 ) ) }.
% 0.94/1.55 { ! class_Lattices_Olattice( X ), class_Lattices_Olattice( tc_fun( Y, X ) )
% 0.94/1.55 }.
% 0.94/1.55 { ! class_Orderings_Oorder( X ), class_Orderings_Oorder( tc_fun( Y, X ) ) }
% 0.94/1.55 .
% 0.94/1.55 { ! class_Orderings_Otop( X ), class_Orderings_Otop( tc_fun( Y, X ) ) }.
% 0.94/1.55 { ! class_Orderings_Oord( X ), class_Orderings_Oord( tc_fun( Y, X ) ) }.
% 0.94/1.55 { ! class_Orderings_Obot( X ), class_Orderings_Obot( tc_fun( Y, X ) ) }.
% 0.94/1.55 { ! class_Groups_Ominus( X ), class_Groups_Ominus( tc_fun( Y, X ) ) }.
% 0.94/1.55 { class_Semiring__Normalization_Ocomm__semiring__1__cancel__crossproduct(
% 0.94/1.55 tc_Int_Oint ) }.
% 0.94/1.55 { class_Groups_Oordered__cancel__ab__semigroup__add( tc_Int_Oint ) }.
% 0.94/1.55 { class_Groups_Oordered__ab__semigroup__add__imp__le( tc_Int_Oint ) }.
% 0.94/1.55 { class_Rings_Olinordered__comm__semiring__strict( tc_Int_Oint ) }.
% 0.94/1.55 { class_Rings_Olinordered__semiring__1__strict( tc_Int_Oint ) }.
% 0.94/1.55 { class_Rings_Olinordered__semiring__strict( tc_Int_Oint ) }.
% 0.94/1.55 { class_Groups_Oordered__ab__semigroup__add( tc_Int_Oint ) }.
% 0.94/1.55 { class_Groups_Oordered__comm__monoid__add( tc_Int_Oint ) }.
% 0.94/1.55 { class_Groups_Olinordered__ab__group__add( tc_Int_Oint ) }.
% 0.94/1.55 { class_Groups_Ocancel__ab__semigroup__add( tc_Int_Oint ) }.
% 0.94/1.55 { class_Rings_Olinordered__ring__strict( tc_Int_Oint ) }.
% 0.94/1.55 { class_Rings_Oring__no__zero__divisors( tc_Int_Oint ) }.
% 0.94/1.55 { class_Groups_Oordered__ab__group__add( tc_Int_Oint ) }.
% 0.94/1.55 { class_Groups_Ocancel__semigroup__add( tc_Int_Oint ) }.
% 0.94/1.55 { class_Rings_Olinordered__semidom( tc_Int_Oint ) }.
% 0.94/1.55 { class_Lattices_Osemilattice__sup( tc_Int_Oint ) }.
% 0.94/1.55 { class_Lattices_Osemilattice__inf( tc_Int_Oint ) }.
% 0.94/1.55 { class_Lattices_Odistrib__lattice( tc_Int_Oint ) }.
% 0.94/1.55 { class_Groups_Oab__semigroup__mult( tc_Int_Oint ) }.
% 0.94/1.55 { class_Groups_Ocomm__monoid__mult( tc_Int_Oint ) }.
% 0.94/1.55 { class_Groups_Oab__semigroup__add( tc_Int_Oint ) }.
% 0.94/1.55 { class_Rings_Ono__zero__divisors( tc_Int_Oint ) }.
% 0.94/1.55 { class_Groups_Ocomm__monoid__add( tc_Int_Oint ) }.
% 0.94/1.55 { class_Rings_Olinordered__idom( tc_Int_Oint ) }.
% 0.94/1.55 { class_Rings_Ocomm__semiring__1( tc_Int_Oint ) }.
% 0.94/1.55 { class_Rings_Ocomm__semiring( tc_Int_Oint ) }.
% 0.94/1.55 { class_Groups_Oab__group__add( tc_Int_Oint ) }.
% 0.94/1.55 { class_Rings_Ozero__neq__one( tc_Int_Oint ) }.
% 0.94/1.55 { class_Orderings_Opreorder( tc_Int_Oint ) }.
% 0.94/1.55 { class_Orderings_Olinorder( tc_Int_Oint ) }.
% 0.94/1.55 { class_Groups_Omonoid__mult( tc_Int_Oint ) }.
% 0.94/1.55 { class_Groups_Omonoid__add( tc_Int_Oint ) }.
% 0.94/1.55 { class_Rings_Osemiring__1( tc_Int_Oint ) }.
% 0.94/1.55 { class_Lattices_Olattice( tc_Int_Oint ) }.
% 0.94/1.55 { class_Groups_Ogroup__add( tc_Int_Oint ) }.
% 0.94/1.55 { class_Rings_Omult__zero( tc_Int_Oint ) }.
% 0.94/1.55 { class_Orderings_Oorder( tc_Int_Oint ) }.
% 0.94/1.55 { class_Int_Oring__char__0( tc_Int_Oint ) }.
% 0.94/1.55 { class_Int_Onumber__ring( tc_Int_Oint ) }.
% 0.94/1.55 { class_Rings_Osemiring( tc_Int_Oint ) }.
% 0.94/1.55 { class_Orderings_Oord( tc_Int_Oint ) }.
% 0.94/1.55 { class_Rings_Oring__1( tc_Int_Oint ) }.
% 0.94/1.55 { class_Groups_Ominus( tc_Int_Oint ) }.
% 0.94/1.55 { class_Groups_Ozero( tc_Int_Oint ) }.
% 0.94/1.55 { class_Rings_Oring( tc_Int_Oint ) }.
% 0.94/1.55 { class_Int_Onumber( tc_Int_Oint ) }.
% 0.94/1.55 { class_Groups_Oone( tc_Int_Oint ) }.
% 0.94/1.55 { class_GCD_Ogcd( tc_Int_Oint ) }.
% 0.94/1.55 { class_Semiring__Normalization_Ocomm__semiring__1__cancel__crossproduct(
% 0.94/1.55 tc_Nat_Onat ) }.
% 0.94/1.55 { class_Groups_Oordered__cancel__ab__semigroup__add( tc_Nat_Onat ) }.
% 0.94/1.55 { class_Groups_Oordered__ab__semigroup__add__imp__le( tc_Nat_Onat ) }.
% 0.94/1.55 { class_Rings_Olinordered__comm__semiring__strict( tc_Nat_Onat ) }.
% 0.94/1.55 { class_Rings_Olinordered__semiring__strict( tc_Nat_Onat ) }.
% 0.94/1.55 { class_Groups_Oordered__ab__semigroup__add( tc_Nat_Onat ) }.
% 0.94/1.55 { class_Groups_Oordered__comm__monoid__add( tc_Nat_Onat ) }.
% 0.94/1.55 { class_Groups_Ocancel__ab__semigroup__add( tc_Nat_Onat ) }.
% 0.94/1.55 { class_Groups_Ocancel__semigroup__add( tc_Nat_Onat ) }.
% 0.94/1.55 { class_Rings_Olinordered__semidom( tc_Nat_Onat ) }.
% 0.94/1.55 { class_Lattices_Osemilattice__sup( tc_Nat_Onat ) }.
% 0.94/1.55 { class_Lattices_Osemilattice__inf( tc_Nat_Onat ) }.
% 0.94/1.55 { class_Lattices_Odistrib__lattice( tc_Nat_Onat ) }.
% 0.94/1.55 { class_Groups_Oab__semigroup__mult( tc_Nat_Onat ) }.
% 0.94/1.55 { class_Groups_Ocomm__monoid__mult( tc_Nat_Onat ) }.
% 0.94/1.55 { class_Groups_Oab__semigroup__add( tc_Nat_Onat ) }.
% 0.94/1.55 { class_Rings_Ono__zero__divisors( tc_Nat_Onat ) }.
% 0.94/1.55 { class_Groups_Ocomm__monoid__add( tc_Nat_Onat ) }.
% 0.94/1.55 { class_Rings_Ocomm__semiring__1( tc_Nat_Onat ) }.
% 0.94/1.55 { class_Rings_Ocomm__semiring( tc_Nat_Onat ) }.
% 0.94/1.55 { class_Rings_Ozero__neq__one( tc_Nat_Onat ) }.
% 0.94/1.55 { class_Orderings_Opreorder( tc_Nat_Onat ) }.
% 0.94/1.55 { class_Orderings_Olinorder( tc_Nat_Onat ) }.
% 0.94/1.55 { class_Groups_Omonoid__mult( tc_Nat_Onat ) }.
% 0.94/1.55 { class_Groups_Omonoid__add( tc_Nat_Onat ) }.
% 0.94/1.55 { class_Rings_Osemiring__1( tc_Nat_Onat ) }.
% 0.94/1.55 { class_Lattices_Olattice( tc_Nat_Onat ) }.
% 0.94/1.55 { class_Rings_Omult__zero( tc_Nat_Onat ) }.
% 0.94/1.55 { class_Orderings_Oorder( tc_Nat_Onat ) }.
% 0.94/1.55 { class_Rings_Osemiring( tc_Nat_Onat ) }.
% 0.94/1.55 { class_Orderings_Oord( tc_Nat_Onat ) }.
% 0.94/1.55 { class_Orderings_Obot( tc_Nat_Onat ) }.
% 0.94/1.55 { class_Groups_Ominus( tc_Nat_Onat ) }.
% 0.94/1.55 { class_Groups_Ozero( tc_Nat_Onat ) }.
% 0.94/1.55 { class_Int_Onumber( tc_Nat_Onat ) }.
% 0.94/1.55 { class_Groups_Oone( tc_Nat_Onat ) }.
% 0.94/1.55 { class_GCD_Ogcd( tc_Nat_Onat ) }.
% 0.94/1.55 { class_Lattices_Obounded__lattice__top( tc_HOL_Obool ) }.
% 0.94/1.55 { class_Lattices_Obounded__lattice__bot( tc_HOL_Obool ) }.
% 0.94/1.55 { class_Lattices_Osemilattice__sup( tc_HOL_Obool ) }.
% 0.94/1.55 { class_Lattices_Osemilattice__inf( tc_HOL_Obool ) }.
% 0.94/1.55 { class_Lattices_Odistrib__lattice( tc_HOL_Obool ) }.
% 0.94/1.55 { class_Orderings_Opreorder( tc_HOL_Obool ) }.
% 0.94/1.55 { class_Lattices_Olattice( tc_HOL_Obool ) }.
% 0.94/1.55 { class_Orderings_Oorder( tc_HOL_Obool ) }.
% 0.94/1.55 { class_Orderings_Otop( tc_HOL_Obool ) }.
% 0.94/1.55 { class_Orderings_Oord( tc_HOL_Obool ) }.
% 0.94/1.55 { class_Orderings_Obot( tc_HOL_Obool ) }.
% 0.94/1.55 { class_Groups_Ominus( tc_HOL_Obool ) }.
% 0.94/1.55 { class_Semiring__Normalization_Ocomm__semiring__1__cancel__crossproduct(
% 0.94/1.55 tc_RealDef_Oreal ) }.
% 0.94/1.55 { class_Groups_Oordered__cancel__ab__semigroup__add( tc_RealDef_Oreal ) }.
% 0.94/1.55 { class_Groups_Oordered__ab__semigroup__add__imp__le( tc_RealDef_Oreal ) }
% 0.94/1.55 .
% 0.94/1.55 { class_Rings_Olinordered__comm__semiring__strict( tc_RealDef_Oreal ) }.
% 0.94/1.55 { class_Rings_Olinordered__semiring__1__strict( tc_RealDef_Oreal ) }.
% 0.94/1.55 { class_Rings_Olinordered__semiring__strict( tc_RealDef_Oreal ) }.
% 0.94/1.55 { class_Groups_Oordered__ab__semigroup__add( tc_RealDef_Oreal ) }.
% 0.94/1.55 { class_Groups_Oordered__comm__monoid__add( tc_RealDef_Oreal ) }.
% 0.94/1.55 { class_Groups_Olinordered__ab__group__add( tc_RealDef_Oreal ) }.
% 0.94/1.55 { class_Groups_Ocancel__ab__semigroup__add( tc_RealDef_Oreal ) }.
% 0.94/1.55 { class_Rings_Olinordered__ring__strict( tc_RealDef_Oreal ) }.
% 0.94/1.55 { class_Rings_Oring__no__zero__divisors( tc_RealDef_Oreal ) }.
% 0.94/1.55 { class_Groups_Oordered__ab__group__add( tc_RealDef_Oreal ) }.
% 0.94/1.55 { class_Groups_Ocancel__semigroup__add( tc_RealDef_Oreal ) }.
% 0.94/1.55 { class_Rings_Olinordered__semidom( tc_RealDef_Oreal ) }.
% 0.94/1.55 { class_Orderings_Odense__linorder( tc_RealDef_Oreal ) }.
% 0.94/1.55 { class_Lattices_Osemilattice__sup( tc_RealDef_Oreal ) }.
% 0.94/1.55 { class_Lattices_Osemilattice__inf( tc_RealDef_Oreal ) }.
% 0.94/1.55 { class_Lattices_Odistrib__lattice( tc_RealDef_Oreal ) }.
% 0.94/1.55 { class_Groups_Oab__semigroup__mult( tc_RealDef_Oreal ) }.
% 0.94/1.55 { class_Groups_Ocomm__monoid__mult( tc_RealDef_Oreal ) }.
% 0.94/1.55 { class_Groups_Oab__semigroup__add( tc_RealDef_Oreal ) }.
% 0.94/1.55 { class_Rings_Ono__zero__divisors( tc_RealDef_Oreal ) }.
% 0.94/1.55 { class_Groups_Ocomm__monoid__add( tc_RealDef_Oreal ) }.
% 0.94/1.55 { class_Rings_Olinordered__idom( tc_RealDef_Oreal ) }.
% 0.94/1.55 { class_Rings_Ocomm__semiring__1( tc_RealDef_Oreal ) }.
% 0.94/1.55 { class_Rings_Ocomm__semiring( tc_RealDef_Oreal ) }.
% 0.94/1.55 { class_Groups_Oab__group__add( tc_RealDef_Oreal ) }.
% 0.94/1.55 { class_Rings_Ozero__neq__one( tc_RealDef_Oreal ) }.
% 0.94/1.55 { class_Orderings_Opreorder( tc_RealDef_Oreal ) }.
% 0.94/1.55 { class_Orderings_Olinorder( tc_RealDef_Oreal ) }.
% 0.94/1.55 { class_Groups_Omonoid__mult( tc_RealDef_Oreal ) }.
% 0.94/1.55 { class_Groups_Omonoid__add( tc_RealDef_Oreal ) }.
% 0.94/1.55 { class_Rings_Osemiring__1( tc_RealDef_Oreal ) }.
% 0.94/1.55 { class_Lattices_Olattice( tc_RealDef_Oreal ) }.
% 0.94/1.55 { class_Groups_Ogroup__add( tc_RealDef_Oreal ) }.
% 0.94/1.55 { class_Rings_Omult__zero( tc_RealDef_Oreal ) }.
% 0.94/1.55 { class_Orderings_Oorder( tc_RealDef_Oreal ) }.
% 0.94/1.55 { class_Int_Oring__char__0( tc_RealDef_Oreal ) }.
% 0.94/1.55 { class_Int_Onumber__ring( tc_RealDef_Oreal ) }.
% 0.94/1.55 { class_Rings_Osemiring( tc_RealDef_Oreal ) }.
% 0.94/1.55 { class_Orderings_Oord( tc_RealDef_Oreal ) }.
% 0.94/1.55 { class_Rings_Oring__1( tc_RealDef_Oreal ) }.
% 0.94/1.55 { class_Groups_Ominus( tc_RealDef_Oreal ) }.
% 0.94/1.55 { class_Groups_Ozero( tc_RealDef_Oreal ) }.
% 0.94/1.55 { class_Rings_Oring( tc_RealDef_Oreal ) }.
% 0.94/1.55 { class_Int_Onumber( tc_RealDef_Oreal ) }.
% 0.94/1.55 { class_Groups_Oone( tc_RealDef_Oreal ) }.
% 0.94/1.55 { ! class_Rings_Oidom( X ),
% 0.94/1.55 class_Semiring__Normalization_Ocomm__semiring__1__cancel__crossproduct(
% 0.94/1.55 tc_Polynomial_Opoly( X ) ) }.
% 0.94/1.55 { ! class_Rings_Olinordered__idom( X ),
% 0.94/1.55 class_Groups_Oordered__cancel__ab__semigroup__add( tc_Polynomial_Opoly( X
% 0.94/1.55 ) ) }.
% 0.94/1.55 { ! class_Rings_Olinordered__idom( X ),
% 0.94/1.55 class_Groups_Oordered__ab__semigroup__add__imp__le( tc_Polynomial_Opoly(
% 0.94/1.55 X ) ) }.
% 0.94/1.55 { ! class_Rings_Olinordered__idom( X ),
% 0.94/1.55 class_Rings_Olinordered__comm__semiring__strict( tc_Polynomial_Opoly( X )
% 0.94/1.55 ) }.
% 0.94/1.55 { ! class_Rings_Olinordered__idom( X ),
% 0.94/1.55 class_Rings_Olinordered__semiring__1__strict( tc_Polynomial_Opoly( X ) )
% 0.94/1.55 }.
% 0.94/1.55 { ! class_Rings_Olinordered__idom( X ),
% 0.94/1.55 class_Rings_Olinordered__semiring__strict( tc_Polynomial_Opoly( X ) ) }.
% 0.94/1.55 { ! class_Rings_Olinordered__idom( X ),
% 0.94/1.55 class_Groups_Oordered__ab__semigroup__add( tc_Polynomial_Opoly( X ) ) }.
% 0.94/1.55 { ! class_Rings_Olinordered__idom( X ),
% 0.94/1.55 class_Groups_Oordered__comm__monoid__add( tc_Polynomial_Opoly( X ) ) }.
% 0.94/1.55 { ! class_Rings_Olinordered__idom( X ),
% 0.94/1.55 class_Groups_Olinordered__ab__group__add( tc_Polynomial_Opoly( X ) ) }.
% 0.94/1.55 { ! class_Groups_Ocancel__comm__monoid__add( X ),
% 0.94/1.55 class_Groups_Ocancel__ab__semigroup__add( tc_Polynomial_Opoly( X ) ) }.
% 0.94/1.55 { ! class_Rings_Olinordered__idom( X ),
% 0.94/1.55 class_Rings_Olinordered__ring__strict( tc_Polynomial_Opoly( X ) ) }.
% 0.94/1.55 { ! class_Rings_Oidom( X ), class_Rings_Oring__no__zero__divisors(
% 0.94/1.55 tc_Polynomial_Opoly( X ) ) }.
% 0.94/1.55 { ! class_Rings_Olinordered__idom( X ),
% 0.94/1.55 class_Groups_Oordered__ab__group__add( tc_Polynomial_Opoly( X ) ) }.
% 0.94/1.55 { ! class_Groups_Ocancel__comm__monoid__add( X ),
% 0.94/1.55 class_Groups_Ocancel__semigroup__add( tc_Polynomial_Opoly( X ) ) }.
% 0.94/1.55 { ! class_Rings_Olinordered__idom( X ), class_Rings_Olinordered__semidom(
% 0.94/1.55 tc_Polynomial_Opoly( X ) ) }.
% 0.94/1.55 { ! class_Rings_Ocomm__semiring__0( X ), class_Groups_Oab__semigroup__mult
% 0.94/1.55 ( tc_Polynomial_Opoly( X ) ) }.
% 0.94/1.55 { ! class_Rings_Ocomm__semiring__1( X ), class_Groups_Ocomm__monoid__mult(
% 0.94/1.55 tc_Polynomial_Opoly( X ) ) }.
% 0.94/1.55 { ! class_Groups_Ocomm__monoid__add( X ), class_Groups_Oab__semigroup__add
% 0.94/1.55 ( tc_Polynomial_Opoly( X ) ) }.
% 0.94/1.55 { ! class_Rings_Oidom( X ), class_Rings_Ono__zero__divisors(
% 0.94/1.55 tc_Polynomial_Opoly( X ) ) }.
% 0.94/1.55 { ! class_Groups_Ocomm__monoid__add( X ), class_Groups_Ocomm__monoid__add(
% 0.94/1.55 tc_Polynomial_Opoly( X ) ) }.
% 0.94/1.55 { ! class_Rings_Olinordered__idom( X ), class_Rings_Olinordered__idom(
% 0.94/1.55 tc_Polynomial_Opoly( X ) ) }.
% 0.94/1.55 { ! class_Rings_Ocomm__semiring__1( X ), class_Rings_Ocomm__semiring__1(
% 0.94/1.55 tc_Polynomial_Opoly( X ) ) }.
% 0.94/1.55 { ! class_Rings_Ocomm__semiring__0( X ), class_Rings_Ocomm__semiring(
% 0.94/1.55 tc_Polynomial_Opoly( X ) ) }.
% 0.94/1.55 { ! class_Groups_Oab__group__add( X ), class_Groups_Oab__group__add(
% 0.94/1.55 tc_Polynomial_Opoly( X ) ) }.
% 0.94/1.55 { ! class_Rings_Ocomm__semiring__1( X ), class_Rings_Ozero__neq__one(
% 0.94/1.55 tc_Polynomial_Opoly( X ) ) }.
% 0.94/1.55 { ! class_Rings_Olinordered__idom( X ), class_Orderings_Opreorder(
% 0.94/1.55 tc_Polynomial_Opoly( X ) ) }.
% 0.94/1.55 { ! class_Rings_Olinordered__idom( X ), class_Orderings_Olinorder(
% 0.94/1.55 tc_Polynomial_Opoly( X ) ) }.
% 0.94/1.55 { ! class_Rings_Ocomm__semiring__1( X ), class_Groups_Omonoid__mult(
% 0.94/1.55 tc_Polynomial_Opoly( X ) ) }.
% 0.94/1.55 { ! class_Groups_Ocomm__monoid__add( X ), class_Groups_Omonoid__add(
% 0.94/1.55 tc_Polynomial_Opoly( X ) ) }.
% 0.94/1.55 { ! class_Rings_Ocomm__semiring__1( X ), class_Rings_Osemiring__1(
% 0.94/1.55 tc_Polynomial_Opoly( X ) ) }.
% 0.94/1.55 { ! class_Groups_Oab__group__add( X ), class_Groups_Ogroup__add(
% 0.94/1.55 tc_Polynomial_Opoly( X ) ) }.
% 0.94/1.55 { ! class_Rings_Ocomm__semiring__0( X ), class_Rings_Omult__zero(
% 0.94/1.55 tc_Polynomial_Opoly( X ) ) }.
% 0.94/1.55 { ! class_Rings_Olinordered__idom( X ), class_Orderings_Oorder(
% 0.94/1.55 tc_Polynomial_Opoly( X ) ) }.
% 0.94/1.55 { ! class_Rings_Olinordered__idom( X ), class_Int_Oring__char__0(
% 0.94/1.55 tc_Polynomial_Opoly( X ) ) }.
% 0.94/1.55 { ! class_Rings_Ocomm__ring__1( X ), class_Int_Onumber__ring(
% 0.94/1.55 tc_Polynomial_Opoly( X ) ) }.
% 0.94/1.55 { ! class_Rings_Ocomm__semiring__0( X ), class_Rings_Osemiring(
% 0.94/1.55 tc_Polynomial_Opoly( X ) ) }.
% 0.94/1.55 { ! class_Rings_Olinordered__idom( X ), class_Orderings_Oord(
% 0.94/1.55 tc_Polynomial_Opoly( X ) ) }.
% 0.94/1.55 { ! class_Rings_Ocomm__ring__1( X ), class_Rings_Oring__1(
% 0.94/1.55 tc_Polynomial_Opoly( X ) ) }.
% 0.94/1.55 { ! class_Groups_Oab__group__add( X ), class_Groups_Ominus(
% 0.94/1.55 tc_Polynomial_Opoly( X ) ) }.
% 0.94/1.55 { ! class_Groups_Ozero( X ), class_Groups_Ozero( tc_Polynomial_Opoly( X ) )
% 0.94/1.55 }.
% 0.94/1.55 { ! class_Rings_Ocomm__ring( X ), class_Rings_Oring( tc_Polynomial_Opoly( X
% 0.94/1.55 ) ) }.
% 0.94/1.55 { ! class_Rings_Ocomm__ring__1( X ), class_Int_Onumber( tc_Polynomial_Opoly
% 0.94/1.55 ( X ) ) }.
% 0.94/1.55 { ! class_Rings_Ocomm__semiring__1( X ), class_Groups_Oone(
% 0.94/1.55 tc_Polynomial_Opoly( X ) ) }.
% 0.94/1.55 { ! hBOOL( hAPP( c_fequal( Y ), X ) ), Y = X }.
% 0.94/1.55 { ! Y = X, hBOOL( hAPP( c_fequal( Y ), X ) ) }.
% 0.94/1.55 { ! c_Orderings_Oord__class_Oless__eq( tc_RealDef_Oreal, v_L____, v_y____ )
% 0.94/1.55 }.
% 0.94/1.55
% 0.94/1.55 *** allocated 15000 integers for clauses
% 0.94/1.55 *** allocated 22500 integers for clauses
% 0.94/1.55 *** allocated 33750 integers for clauses
% 0.94/1.55 *** allocated 50625 integers for clauses
% 0.94/1.55 *** allocated 75937 integers for clauses
% 0.94/1.55 percentage equality = 0.231317, percentage horn = 0.907939
% 0.94/1.55 This is a problem with some equality
% 0.94/1.55
% 0.94/1.55
% 0.94/1.55
% 0.94/1.55 Options Used:
% 0.94/1.55
% 0.94/1.55 useres = 1
% 0.94/1.55 useparamod = 1
% 0.94/1.55 useeqrefl = 1
% 0.94/1.55 useeqfact = 1
% 0.94/1.55 usefactor = 1
% 0.94/1.55 usesimpsplitting = 0
% 0.94/1.55 usesimpdemod = 5
% 0.94/1.55 usesimpres = 3
% 0.94/1.55
% 0.94/1.55 resimpinuse = 1000
% 0.94/1.55 resimpclauses = 20000
% 0.94/1.55 substype = eqrewr
% 0.94/1.55 backwardsubs = 1
% 0.94/1.55 selectoldest = 5
% 0.94/1.55
% 0.94/1.55 litorderings [0] = split
% 0.94/1.55 litorderings [1] = extend the termordering, first sorting on arguments
% 0.94/1.55
% 0.94/1.55 termordering = kbo
% 0.94/1.55
% 0.94/1.55 litapriori = 0
% 0.94/1.55 termapriori = 1
% 0.94/1.55 litaposteriori = 0
% 0.94/1.55 termaposteriori = 0
% 0.94/1.55 demodaposteriori = 0
% 0.94/1.55 ordereqreflfact = 0
% 0.94/1.55
% 0.94/1.55 litselect = negord
% 0.94/1.55
% 0.94/1.55 maxweight = 15
% 0.94/1.55 maxdepth = 30000
% 0.94/1.55 maxlength = 115
% 0.94/1.55 maxnrvars = 195
% 0.94/1.55 excuselevel = 1
% 0.94/1.55 increasemaxweight = 1
% 0.94/1.55
% 0.94/1.55 maxselected = 10000000
% 0.94/1.55 maxnrclauses = 10000000
% 0.94/1.55
% 0.94/1.55 showgenerated = 0
% 0.94/1.55 showkept = 0
% 0.94/1.55 showselected = 0
% 0.94/1.55 showdeleted = 0
% 0.94/1.55 showresimp = 1
% 0.94/1.55 showstatus = 2000
% 0.94/1.55
% 0.94/1.55 prologoutput = 0
% 0.94/1.55 nrgoals = 5000000
% 0.94/1.55 totalproof = 1
% 0.94/1.55
% 0.94/1.55 Symbols occurring in the translation:
% 0.94/1.55
% 0.94/1.55 {} [0, 0] (w:1, o:2, a:1, s:1, b:0),
% 0.94/1.55 . [1, 2] (w:1, o:205, a:1, s:1, b:0),
% 0.94/1.55 ! [4, 1] (w:0, o:112, a:1, s:1, b:0),
% 0.94/1.55 = [13, 2] (w:1, o:0, a:0, s:1, b:0),
% 0.94/1.55 ==> [14, 2] (w:1, o:0, a:0, s:1, b:0),
% 0.94/1.55 hAPP [38, 2] (w:1, o:229, a:1, s:1, b:0),
% 0.94/1.55 v_P [40, 0] (w:1, o:15, a:1, s:1, b:0),
% 0.94/1.55 hBOOL [41, 1] (w:1, o:117, a:1, s:1, b:0),
% 0.94/1.55 tc_RealDef_Oreal [42, 0] (w:1, o:24, a:1, s:1, b:0),
% 0.94/1.55 v_y____ [43, 0] (w:1, o:26, a:1, s:1, b:0),
% 0.94/1.55 c_Orderings_Oord__class_Oless__eq [44, 3] (w:1, o:293, a:1, s:1, b:0)
% 0.94/1.55 ,
% 0.94/1.55 v_L____ [45, 0] (w:1, o:27, a:1, s:1, b:0),
% 0.94/1.55 c_Orderings_Oord__class_Oless [46, 3] (w:1, o:294, a:1, s:1, b:0),
% 0.94/1.55 v_Y____ [47, 0] (w:1, o:28, a:1, s:1, b:0),
% 0.94/1.55 class_Orderings_Opreorder [50, 1] (w:1, o:120, a:1, s:1, b:0),
% 0.94/1.55 class_Orderings_Oord [58, 1] (w:1, o:118, a:1, s:1, b:0),
% 0.94/1.55 tc_fun [59, 2] (w:1, o:264, a:1, s:1, b:0),
% 0.94/1.55 class_Orderings_Olinorder [61, 1] (w:1, o:121, a:1, s:1, b:0),
% 0.94/1.55 class_Orderings_Oorder [64, 1] (w:1, o:119, a:1, s:1, b:0),
% 0.94/1.55 v_x____ [65, 0] (w:1, o:25, a:1, s:1, b:0),
% 0.94/1.55 tc_HOL_Obool [70, 0] (w:1, o:61, a:1, s:1, b:0),
% 0.94/1.55 c_Orderings_Otop__class_Otop [71, 1] (w:1, o:124, a:1, s:1, b:0),
% 0.94/1.55 c_Set_OCollect [72, 2] (w:1, o:266, a:1, s:1, b:0),
% 0.94/1.55 c_Lubs_OisLub [73, 4] (w:1, o:364, a:1, s:1, b:0),
% 0.94/1.55 class_Rings_Olinordered__idom [74, 1] (w:1, o:125, a:1, s:1, b:0),
% 0.94/1.55 class_Orderings_Odense__linorder [76, 1] (w:1, o:126, a:1, s:1, b:0)
% 0.94/1.55 ,
% 0.94/1.55 class_Orderings_Otop [82, 1] (w:1, o:127, a:1, s:1, b:0),
% 0.94/1.55 c_Lubs_OisUb [84, 3] (w:1, o:295, a:1, s:1, b:0),
% 0.94/1.55 c_member [89, 3] (w:1, o:296, a:1, s:1, b:0),
% 0.94/1.55 c_fequal [92, 1] (w:1, o:128, a:1, s:1, b:0),
% 0.94/1.55 c_Lubs_Oubs [95, 3] (w:1, o:297, a:1, s:1, b:0),
% 0.94/1.55 c_Lubs_Osetge [96, 3] (w:1, o:298, a:1, s:1, b:0),
% 0.94/1.55 c_Lubs_OleastP [97, 3] (w:1, o:299, a:1, s:1, b:0),
% 0.94/1.55 c_Lubs_Osetle [98, 3] (w:1, o:300, a:1, s:1, b:0),
% 0.94/1.55 c_Predicate_OPowp [100, 2] (w:1, o:267, a:1, s:1, b:0),
% 0.94/1.55 c_SEQ_Odecseq [102, 2] (w:1, o:268, a:1, s:1, b:0),
% 0.94/1.55 tc_Nat_Onat [105, 0] (w:1, o:78, a:1, s:1, b:0),
% 0.94/1.55 c_SEQ_Oincseq [106, 2] (w:1, o:269, a:1, s:1, b:0),
% 0.94/1.55 c_Set_OPow [107, 2] (w:1, o:270, a:1, s:1, b:0),
% 0.94/1.55 c_Orderings_Oorder__class_Ostrict__mono [108, 3] (w:1, o:301, a:1, s:
% 0.94/1.55 1, b:0),
% 0.94/1.55 c_SetInterval_Oord__class_OatLeastAtMost [110, 3] (w:1, o:302, a:1
% 0.94/1.55 , s:1, b:0),
% 0.94/1.55 c_Set_Oinsert [111, 3] (w:1, o:303, a:1, s:1, b:0),
% 0.94/1.55 c_SetInterval_Oord_OatMost [116, 3] (w:1, o:305, a:1, s:1, b:0),
% 0.94/1.55 c_SetInterval_Oord_OatLeast [117, 3] (w:1, o:304, a:1, s:1, b:0),
% 0.94/1.55 c_SetInterval_Oord_OlessThan [119, 3] (w:1, o:306, a:1, s:1, b:0),
% 0.94/1.55 c_SetInterval_Oord_OgreaterThan [120, 3] (w:1, o:307, a:1, s:1, b:0)
% 0.94/1.55 ,
% 0.94/1.55 c_SetInterval_Oord_OatLeastAtMost [122, 4] (w:1, o:365, a:1, s:1, b:0
% 0.94/1.55 ),
% 0.94/1.55 c_SetInterval_Oord_OgreaterThanLessThan [123, 4] (w:1, o:366, a:1, s:
% 0.94/1.55 1, b:0),
% 0.94/1.55 c_SetInterval_Oord_OatLeastLessThan [124, 5] (w:1, o:383, a:1, s:1
% 0.94/1.55 , b:0),
% 0.94/1.55 c_SetInterval_Oord_OgreaterThanAtMost [125, 5] (w:1, o:384, a:1, s:1
% 0.94/1.55 , b:0),
% 0.94/1.55 c_SEQ_Omonoseq [126, 2] (w:1, o:271, a:1, s:1, b:0),
% 0.94/1.55 c_SetInterval_Oord__class_OlessThan [133, 2] (w:1, o:272, a:1, s:1
% 0.94/1.55 , b:0),
% 0.94/1.55 c_SetInterval_Oord__class_OgreaterThan [134, 2] (w:1, o:273, a:1, s:1
% 0.94/1.55 , b:0),
% 0.94/1.55 c_SetInterval_Oord__class_OatMost [135, 2] (w:1, o:275, a:1, s:1, b:0
% 0.94/1.55 ),
% 0.94/1.55 c_SetInterval_Oord__class_OatLeast [136, 2] (w:1, o:274, a:1, s:1, b:
% 0.94/1.55 0),
% 0.94/1.55 c_RComplete_Onatceiling [137, 1] (w:1, o:129, a:1, s:1, b:0),
% 0.94/1.55 c_Lattices_Osemilattice__sup__class_Osup [142, 3] (w:1, o:308, a:1
% 0.94/1.55 , s:1, b:0),
% 0.94/1.55 c_RealDef_Oreal [143, 2] (w:1, o:265, a:1, s:1, b:0),
% 0.94/1.55 c_Groups_Ozero__class_Ozero [144, 1] (w:1, o:130, a:1, s:1, b:0),
% 0.94/1.55 c_SEQ_Osubseq [145, 1] (w:1, o:132, a:1, s:1, b:0),
% 0.94/1.55 c_RComplete_Onatfloor [146, 1] (w:1, o:131, a:1, s:1, b:0),
% 0.94/1.55 class_Lattices_Olattice [147, 1] (w:1, o:133, a:1, s:1, b:0),
% 0.94/1.55 class_Lattices_Obounded__lattice__top [148, 1] (w:1, o:135, a:1, s:1
% 0.94/1.55 , b:0),
% 0.94/1.55 class_Lattices_Osemilattice__sup [149, 1] (w:1, o:136, a:1, s:1, b:0)
% 0.94/1.55 ,
% 0.94/1.55 c_SetInterval_Oord__class_OgreaterThanLessThan [151, 3] (w:1, o:309
% 0.94/1.55 , a:1, s:1, b:0),
% 0.94/1.55 c_Orderings_Obot__class_Obot [152, 1] (w:1, o:137, a:1, s:1, b:0),
% 0.94/1.55 class_Orderings_Obot [153, 1] (w:1, o:138, a:1, s:1, b:0),
% 0.94/1.56 class_Lattices_Obounded__lattice__bot [154, 1] (w:1, o:139, a:1, s:1
% 0.94/1.56 , b:0),
% 0.94/1.56 c_Set_Othe__elem [155, 2] (w:1, o:276, a:1, s:1, b:0),
% 0.94/1.56 c_SetInterval_Oord__class_OgreaterThanAtMost [156, 3] (w:1, o:310, a:
% 0.94/1.56 1, s:1, b:0),
% 0.94/1.56 c_SetInterval_Oord__class_OatLeastLessThan [157, 3] (w:1, o:311, a:1
% 0.94/1.56 , s:1, b:0),
% 0.94/1.56 c_Groups_Ominus__class_Ominus [158, 3] (w:1, o:312, a:1, s:1, b:0),
% 0.94/1.56 c_Lattices_Osemilattice__inf__class_Oinf [159, 3] (w:1, o:313, a:1
% 0.94/1.56 , s:1, b:0),
% 0.94/1.56 c_Nat_Osemiring__1__class_ONats [160, 1] (w:1, o:122, a:1, s:1, b:0)
% 0.94/1.56 ,
% 0.94/1.56 class_GCD_Ogcd [161, 1] (w:1, o:140, a:1, s:1, b:0),
% 0.94/1.56 c_GCD_Ogcd__class_OGcd [162, 2] (w:1, o:279, a:1, s:1, b:0),
% 0.94/1.56 class_Lattices_Odistrib__lattice [163, 1] (w:1, o:141, a:1, s:1, b:0)
% 0.94/1.56 ,
% 0.94/1.56 class_Lattices_Osemilattice__inf [165, 1] (w:1, o:142, a:1, s:1, b:0)
% 0.94/1.56 ,
% 0.94/1.56 class_Groups_Ominus [166, 1] (w:1, o:144, a:1, s:1, b:0),
% 0.94/1.56 class_Rings_Osemiring__1 [167, 1] (w:1, o:148, a:1, s:1, b:0),
% 0.94/1.56 class_Groups_Oordered__ab__group__add [168, 1] (w:1, o:149, a:1, s:1
% 0.94/1.56 , b:0),
% 0.94/1.56 class_Groups_Ogroup__add [169, 1] (w:1, o:150, a:1, s:1, b:0),
% 0.94/1.56 class_Groups_Ozero [171, 1] (w:1, o:151, a:1, s:1, b:0),
% 0.94/1.56 class_Groups_Oab__group__add [172, 1] (w:1, o:152, a:1, s:1, b:0),
% 0.94/1.56 c_Nitpick_Ofold__graph_H [173, 6] (w:1, o:390, a:1, s:1, b:0),
% 0.94/1.56 c_Fundamental__Theorem__Algebra__Mirabelle_Opsize [175, 2] (w:1, o:
% 0.94/1.56 277, a:1, s:1, b:0),
% 0.94/1.56 tc_Polynomial_Opoly [176, 1] (w:1, o:168, a:1, s:1, b:0),
% 0.94/1.56 c_Groups_Oone__class_Oone [182, 1] (w:1, o:169, a:1, s:1, b:0),
% 0.94/1.56 c_Nat_OSuc [183, 1] (w:1, o:123, a:1, s:1, b:0),
% 0.94/1.56 class_Rings_Ozero__neq__one [186, 1] (w:1, o:170, a:1, s:1, b:0),
% 0.94/1.56 class_Groups_Oone [189, 1] (w:1, o:171, a:1, s:1, b:0),
% 0.94/1.56 class_Rings_Olinordered__semidom [190, 1] (w:1, o:173, a:1, s:1, b:0)
% 0.94/1.56 ,
% 0.94/1.56 c_GCD_Ogcd__class_OLcm [191, 2] (w:1, o:280, a:1, s:1, b:0),
% 0.94/1.56 c_Groups_Oplus__class_Oplus [193, 3] (w:1, o:314, a:1, s:1, b:0),
% 0.94/1.56 class_Groups_Oab__semigroup__add [195, 1] (w:1, o:174, a:1, s:1, b:0)
% 0.94/1.56 ,
% 0.94/1.56 class_Groups_Ocancel__semigroup__add [196, 1] (w:1, o:175, a:1, s:1
% 0.94/1.56 , b:0),
% 0.94/1.56 class_Groups_Ocancel__ab__semigroup__add [197, 1] (w:1, o:176, a:1
% 0.94/1.56 , s:1, b:0),
% 0.94/1.56 class_Groups_Oordered__ab__semigroup__add__imp__le [198, 1] (w:1, o:
% 0.94/1.56 177, a:1, s:1, b:0),
% 0.94/1.56 class_Groups_Oordered__ab__semigroup__add [199, 1] (w:1, o:178, a:1
% 0.94/1.56 , s:1, b:0),
% 0.94/1.56 class_Groups_Oordered__cancel__ab__semigroup__add [200, 1] (w:1, o:
% 0.94/1.56 179, a:1, s:1, b:0),
% 0.94/1.56 class_Groups_Omonoid__add [201, 1] (w:1, o:180, a:1, s:1, b:0),
% 0.94/1.56 class_Groups_Ocomm__monoid__add [202, 1] (w:1, o:181, a:1, s:1, b:0)
% 0.94/1.56 ,
% 0.94/1.56 class_Groups_Olinordered__ab__group__add [203, 1] (w:1, o:143, a:1
% 0.94/1.56 , s:1, b:0),
% 0.94/1.56 class_Groups_Oordered__comm__monoid__add [204, 1] (w:1, o:182, a:1
% 0.94/1.56 , s:1, b:0),
% 0.94/1.56 c_Int_Oring__1__class_OInts [206, 1] (w:1, o:183, a:1, s:1, b:0),
% 0.94/1.56 class_Rings_Ocomm__semiring__1 [207, 1] (w:1, o:187, a:1, s:1, b:0),
% 0.94/1.56
% 0.94/1.56 class_Rings_Oring__1 [208, 1] (w:1, o:145, a:1, s:1, b:0),
% 0.94/1.56 class_Int_Oring__char__0 [209, 1] (w:1, o:188, a:1, s:1, b:0),
% 0.94/1.56 class_Semiring__Normalization_Ocomm__semiring__1__cancel__crossproduct [
% 0.94/1.56 210, 1] (w:1, o:197, a:1, s:1, b:0),
% 0.94/1.56 c_Int_Onumber__class_Onumber__of [212, 2] (w:1, o:281, a:1, s:1, b:0)
% 0.94/1.56 ,
% 0.94/1.56 class_Int_Onumber__ring [214, 1] (w:1, o:198, a:1, s:1, b:0),
% 0.94/1.56 tc_Int_Oint [215, 0] (w:1, o:103, a:1, s:1, b:0),
% 0.94/1.56 class_Int_Onumber [216, 1] (w:1, o:199, a:1, s:1, b:0),
% 0.94/1.56 c_Finite__Set_Ofinite [219, 2] (w:1, o:278, a:1, s:1, b:0),
% 0.94/1.56 class_Rings_Olinordered__semiring__1__strict [221, 1] (w:1, o:189, a:
% 0.94/1.56 1, s:1, b:0),
% 0.94/1.56 c_Groups_Otimes__class_Otimes [222, 3] (w:1, o:315, a:1, s:1, b:0),
% 0.94/1.56 class_Rings_Oring [223, 1] (w:1, o:146, a:1, s:1, b:0),
% 0.94/1.56 class_Rings_Osemiring [224, 1] (w:1, o:190, a:1, s:1, b:0),
% 0.94/1.56 class_Rings_Ocomm__semiring [230, 1] (w:1, o:191, a:1, s:1, b:0),
% 0.94/1.56 class_Rings_Olinordered__ring__strict [233, 1] (w:1, o:172, a:1, s:1
% 0.94/1.56 , b:0),
% 0.94/1.56 class_Groups_Ocomm__monoid__mult [234, 1] (w:1, o:200, a:1, s:1, b:0)
% 0.94/1.56 ,
% 0.94/1.56 class_Groups_Omonoid__mult [235, 1] (w:1, o:201, a:1, s:1, b:0),
% 0.94/1.56 class_Groups_Oab__semigroup__mult [236, 1] (w:1, o:202, a:1, s:1, b:0
% 0.94/1.56 ),
% 0.94/1.56 class_Lattices_Oab__semigroup__idem__mult [237, 1] (w:1, o:134, a:1
% 0.94/1.56 , s:1, b:0),
% 0.94/1.56 class_Rings_Ono__zero__divisors [239, 1] (w:1, o:195, a:1, s:1, b:0)
% 0.94/1.56 ,
% 0.94/1.56 class_Rings_Oring__no__zero__divisors [240, 1] (w:1, o:147, a:1, s:1
% 0.94/1.56 , b:0),
% 0.94/1.56 class_Rings_Omult__zero [241, 1] (w:1, o:194, a:1, s:1, b:0),
% 0.94/1.56 class_Rings_Olinordered__comm__semiring__strict [242, 1] (w:1, o:192
% 0.94/1.56 , a:1, s:1, b:0),
% 0.94/1.56 class_Rings_Olinordered__semiring__strict [243, 1] (w:1, o:193, a:1
% 0.94/1.56 , s:1, b:0),
% 0.94/1.56 class_Rings_Oidom [245, 1] (w:1, o:196, a:1, s:1, b:0),
% 0.94/1.56 class_Groups_Ocancel__comm__monoid__add [246, 1] (w:1, o:203, a:1, s:
% 0.94/1.56 1, b:0),
% 0.94/1.56 class_Rings_Ocomm__semiring__0 [247, 1] (w:1, o:186, a:1, s:1, b:0),
% 0.94/1.56
% 0.94/1.56 class_Rings_Ocomm__ring__1 [248, 1] (w:1, o:184, a:1, s:1, b:0),
% 0.94/1.56 class_Rings_Ocomm__ring [249, 1] (w:1, o:185, a:1, s:1, b:0),
% 0.94/1.56 class_Lattices_Obounded__lattice [250, 1] (w:1, o:204, a:1, s:1, b:0)
% 0.94/1.56 ,
% 0.94/1.56 alpha1 [254, 5] (w:1, o:385, a:1, s:1, b:1),
% 0.94/1.56 alpha2 [255, 5] (w:1, o:386, a:1, s:1, b:1),
% 0.94/1.56 alpha3 [256, 2] (w:1, o:285, a:1, s:1, b:1),
% 0.94/1.56 alpha4 [257, 3] (w:1, o:318, a:1, s:1, b:1),
% 0.94/1.56 alpha5 [258, 3] (w:1, o:321, a:1, s:1, b:1),
% 0.94/1.56 alpha6 [259, 2] (w:1, o:286, a:1, s:1, b:1),
% 0.94/1.56 alpha7 [260, 2] (w:1, o:287, a:1, s:1, b:1),
% 0.94/1.56 alpha8 [261, 4] (w:1, o:367, a:1, s:1, b:1),
% 0.94/1.56 alpha9 [262, 2] (w:1, o:288, a:1, s:1, b:1),
% 0.94/1.56 alpha10 [263, 2] (w:1, o:289, a:1, s:1, b:1),
% 0.94/1.56 alpha11 [264, 4] (w:1, o:368, a:1, s:1, b:1),
% 0.94/1.56 alpha12 [265, 3] (w:1, o:322, a:1, s:1, b:1),
% 0.94/1.56 alpha13 [266, 4] (w:1, o:369, a:1, s:1, b:1),
% 0.94/1.56 alpha14 [267, 6] (w:1, o:391, a:1, s:1, b:1),
% 0.94/1.56 alpha15 [268, 2] (w:1, o:290, a:1, s:1, b:1),
% 0.94/1.56 alpha16 [269, 2] (w:1, o:291, a:1, s:1, b:1),
% 2.08/2.49 alpha17 [270, 2] (w:1, o:292, a:1, s:1, b:1),
% 2.08/2.49 alpha18 [271, 3] (w:1, o:323, a:1, s:1, b:1),
% 2.08/2.49 alpha19 [272, 3] (w:1, o:324, a:1, s:1, b:1),
% 2.08/2.49 alpha20 [273, 5] (w:1, o:387, a:1, s:1, b:1),
% 2.08/2.49 alpha21 [274, 2] (w:1, o:282, a:1, s:1, b:1),
% 2.08/2.49 alpha22 [275, 3] (w:1, o:325, a:1, s:1, b:1),
% 2.08/2.49 alpha23 [276, 3] (w:1, o:326, a:1, s:1, b:1),
% 2.08/2.49 alpha24 [277, 4] (w:1, o:370, a:1, s:1, b:1),
% 2.08/2.49 alpha25 [278, 4] (w:1, o:371, a:1, s:1, b:1),
% 2.08/2.49 alpha26 [279, 4] (w:1, o:372, a:1, s:1, b:1),
% 2.08/2.49 alpha27 [280, 7] (w:1, o:392, a:1, s:1, b:1),
% 2.08/2.49 alpha28 [281, 2] (w:1, o:283, a:1, s:1, b:1),
% 2.08/2.49 alpha29 [282, 2] (w:1, o:284, a:1, s:1, b:1),
% 2.08/2.49 alpha30 [283, 3] (w:1, o:316, a:1, s:1, b:1),
% 2.08/2.49 alpha31 [284, 3] (w:1, o:317, a:1, s:1, b:1),
% 2.08/2.49 alpha32 [285, 5] (w:1, o:388, a:1, s:1, b:1),
% 2.08/2.49 alpha33 [286, 4] (w:1, o:373, a:1, s:1, b:1),
% 2.08/2.49 alpha34 [287, 4] (w:1, o:374, a:1, s:1, b:1),
% 2.08/2.49 alpha35 [288, 4] (w:1, o:375, a:1, s:1, b:1),
% 2.08/2.49 alpha36 [289, 7] (w:1, o:393, a:1, s:1, b:1),
% 2.08/2.49 alpha37 [290, 5] (w:1, o:389, a:1, s:1, b:1),
% 2.08/2.49 alpha38 [291, 4] (w:1, o:376, a:1, s:1, b:1),
% 2.08/2.49 alpha39 [292, 4] (w:1, o:377, a:1, s:1, b:1),
% 2.08/2.49 alpha40 [293, 4] (w:1, o:378, a:1, s:1, b:1),
% 2.08/2.49 alpha41 [294, 3] (w:1, o:319, a:1, s:1, b:1),
% 2.08/2.49 alpha42 [295, 3] (w:1, o:320, a:1, s:1, b:1),
% 2.08/2.49 skol1 [296, 2] (w:1, o:230, a:1, s:1, b:1),
% 2.08/2.49 skol2 [297, 3] (w:1, o:333, a:1, s:1, b:1),
% 2.08/2.49 skol3 [298, 0] (w:1, o:16, a:1, s:1, b:1),
% 2.08/2.49 skol4 [299, 0] (w:1, o:17, a:1, s:1, b:1),
% 2.08/2.49 skol5 [300, 0] (w:1, o:18, a:1, s:1, b:1),
% 2.08/2.49 skol6 [301, 3] (w:1, o:334, a:1, s:1, b:1),
% 2.08/2.49 skol7 [302, 3] (w:1, o:337, a:1, s:1, b:1),
% 2.08/2.49 skol8 [303, 4] (w:1, o:379, a:1, s:1, b:1),
% 2.08/2.49 skol9 [304, 3] (w:1, o:346, a:1, s:1, b:1),
% 2.08/2.49 skol10 [305, 3] (w:1, o:327, a:1, s:1, b:1),
% 2.08/2.49 skol11 [306, 3] (w:1, o:328, a:1, s:1, b:1),
% 2.08/2.49 skol12 [307, 3] (w:1, o:329, a:1, s:1, b:1),
% 2.08/2.49 skol13 [308, 3] (w:1, o:330, a:1, s:1, b:1),
% 2.08/2.49 skol14 [309, 3] (w:1, o:331, a:1, s:1, b:1),
% 2.08/2.49 skol15 [310, 0] (w:1, o:19, a:1, s:1, b:1),
% 2.08/2.49 skol16 [311, 0] (w:1, o:20, a:1, s:1, b:1),
% 2.08/2.49 skol17 [312, 0] (w:1, o:21, a:1, s:1, b:1),
% 2.08/2.49 skol18 [313, 0] (w:1, o:22, a:1, s:1, b:1),
% 2.08/2.49 skol19 [314, 3] (w:1, o:332, a:1, s:1, b:1),
% 2.08/2.49 skol20 [315, 3] (w:1, o:347, a:1, s:1, b:1),
% 2.08/2.49 skol21 [316, 1] (w:1, o:153, a:1, s:1, b:1),
% 2.08/2.49 skol22 [317, 1] (w:1, o:154, a:1, s:1, b:1),
% 2.08/2.49 skol23 [318, 3] (w:1, o:348, a:1, s:1, b:1),
% 2.08/2.49 skol24 [319, 3] (w:1, o:349, a:1, s:1, b:1),
% 2.08/2.49 skol25 [320, 3] (w:1, o:350, a:1, s:1, b:1),
% 2.08/2.49 skol26 [321, 3] (w:1, o:351, a:1, s:1, b:1),
% 2.08/2.49 skol27 [322, 3] (w:1, o:352, a:1, s:1, b:1),
% 2.08/2.49 skol28 [323, 3] (w:1, o:353, a:1, s:1, b:1),
% 2.08/2.49 skol29 [324, 2] (w:1, o:232, a:1, s:1, b:1),
% 2.08/2.49 skol30 [325, 2] (w:1, o:233, a:1, s:1, b:1),
% 2.08/2.49 skol31 [326, 1] (w:1, o:155, a:1, s:1, b:1),
% 2.08/2.49 skol32 [327, 2] (w:1, o:234, a:1, s:1, b:1),
% 2.08/2.49 skol33 [328, 2] (w:1, o:235, a:1, s:1, b:1),
% 2.08/2.49 skol34 [329, 2] (w:1, o:236, a:1, s:1, b:1),
% 2.08/2.49 skol35 [330, 2] (w:1, o:237, a:1, s:1, b:1),
% 2.08/2.49 skol36 [331, 2] (w:1, o:238, a:1, s:1, b:1),
% 2.08/2.49 skol37 [332, 2] (w:1, o:239, a:1, s:1, b:1),
% 2.08/2.49 skol38 [333, 3] (w:1, o:354, a:1, s:1, b:1),
% 2.08/2.49 skol39 [334, 1] (w:1, o:156, a:1, s:1, b:1),
% 2.08/2.49 skol40 [335, 3] (w:1, o:355, a:1, s:1, b:1),
% 2.08/2.49 skol41 [336, 3] (w:1, o:356, a:1, s:1, b:1),
% 2.08/2.49 skol42 [337, 4] (w:1, o:380, a:1, s:1, b:1),
% 2.08/2.49 skol43 [338, 3] (w:1, o:357, a:1, s:1, b:1),
% 2.08/2.49 skol44 [339, 3] (w:1, o:358, a:1, s:1, b:1),
% 2.08/2.49 skol45 [340, 4] (w:1, o:381, a:1, s:1, b:1),
% 2.08/2.49 skol46 [341, 3] (w:1, o:359, a:1, s:1, b:1),
% 2.08/2.49 skol47 [342, 3] (w:1, o:360, a:1, s:1, b:1),
% 2.08/2.49 skol48 [343, 1] (w:1, o:157, a:1, s:1, b:1),
% 2.08/2.49 skol49 [344, 2] (w:1, o:240, a:1, s:1, b:1),
% 2.08/2.49 skol50 [345, 2] (w:1, o:241, a:1, s:1, b:1),
% 2.08/2.49 skol51 [346, 2] (w:1, o:242, a:1, s:1, b:1),
% 2.08/2.49 skol52 [347, 2] (w:1, o:243, a:1, s:1, b:1),
% 2.08/2.49 skol53 [348, 2] (w:1, o:244, a:1, s:1, b:1),
% 12.08/12.45 skol54 [349, 2] (w:1, o:245, a:1, s:1, b:1),
% 12.08/12.45 skol55 [350, 1] (w:1, o:158, a:1, s:1, b:1),
% 12.08/12.45 skol56 [351, 1] (w:1, o:159, a:1, s:1, b:1),
% 12.08/12.45 skol57 [352, 2] (w:1, o:246, a:1, s:1, b:1),
% 12.08/12.45 skol58 [353, 2] (w:1, o:247, a:1, s:1, b:1),
% 12.08/12.45 skol59 [354, 2] (w:1, o:248, a:1, s:1, b:1),
% 12.08/12.45 skol60 [355, 2] (w:1, o:249, a:1, s:1, b:1),
% 12.08/12.45 skol61 [356, 3] (w:1, o:335, a:1, s:1, b:1),
% 12.08/12.45 skol62 [357, 3] (w:1, o:336, a:1, s:1, b:1),
% 12.08/12.45 skol63 [358, 4] (w:1, o:382, a:1, s:1, b:1),
% 12.08/12.45 skol64 [359, 7] (w:1, o:394, a:1, s:1, b:1),
% 12.08/12.45 skol65 [360, 2] (w:1, o:250, a:1, s:1, b:1),
% 12.08/12.45 skol66 [361, 1] (w:1, o:160, a:1, s:1, b:1),
% 12.08/12.45 skol67 [362, 2] (w:1, o:251, a:1, s:1, b:1),
% 12.08/12.45 skol68 [363, 1] (w:1, o:161, a:1, s:1, b:1),
% 12.08/12.45 skol69 [364, 1] (w:1, o:162, a:1, s:1, b:1),
% 12.08/12.45 skol70 [365, 1] (w:1, o:163, a:1, s:1, b:1),
% 12.08/12.45 skol71 [366, 2] (w:1, o:252, a:1, s:1, b:1),
% 12.08/12.45 skol72 [367, 2] (w:1, o:253, a:1, s:1, b:1),
% 12.08/12.45 skol73 [368, 3] (w:1, o:361, a:1, s:1, b:1),
% 12.08/12.45 skol74 [369, 3] (w:1, o:362, a:1, s:1, b:1),
% 12.08/12.45 skol75 [370, 2] (w:1, o:254, a:1, s:1, b:1),
% 12.08/12.45 skol76 [371, 2] (w:1, o:255, a:1, s:1, b:1),
% 12.08/12.45 skol77 [372, 1] (w:1, o:164, a:1, s:1, b:1),
% 12.08/12.45 skol78 [373, 1] (w:1, o:165, a:1, s:1, b:1),
% 12.08/12.45 skol79 [374, 0] (w:1, o:23, a:1, s:1, b:1),
% 12.08/12.45 skol80 [375, 3] (w:1, o:338, a:1, s:1, b:1),
% 12.08/12.45 skol81 [376, 3] (w:1, o:339, a:1, s:1, b:1),
% 12.08/12.45 skol82 [377, 3] (w:1, o:340, a:1, s:1, b:1),
% 12.08/12.45 skol83 [378, 3] (w:1, o:341, a:1, s:1, b:1),
% 12.08/12.45 skol84 [379, 3] (w:1, o:342, a:1, s:1, b:1),
% 12.08/12.45 skol85 [380, 3] (w:1, o:343, a:1, s:1, b:1),
% 12.08/12.45 skol86 [381, 3] (w:1, o:344, a:1, s:1, b:1),
% 12.08/12.45 skol87 [382, 3] (w:1, o:345, a:1, s:1, b:1),
% 12.08/12.45 skol88 [383, 2] (w:1, o:256, a:1, s:1, b:1),
% 12.08/12.45 skol89 [384, 2] (w:1, o:257, a:1, s:1, b:1),
% 12.08/12.45 skol90 [385, 2] (w:1, o:258, a:1, s:1, b:1),
% 12.08/12.45 skol91 [386, 2] (w:1, o:259, a:1, s:1, b:1),
% 12.08/12.45 skol92 [387, 2] (w:1, o:260, a:1, s:1, b:1),
% 12.08/12.45 skol93 [388, 2] (w:1, o:261, a:1, s:1, b:1),
% 12.08/12.45 skol94 [389, 3] (w:1, o:363, a:1, s:1, b:1),
% 12.08/12.45 skol95 [390, 1] (w:1, o:166, a:1, s:1, b:1),
% 12.08/12.45 skol96 [391, 1] (w:1, o:167, a:1, s:1, b:1),
% 12.08/12.45 skol97 [392, 7] (w:1, o:395, a:1, s:1, b:1),
% 12.08/12.45 skol98 [393, 2] (w:1, o:262, a:1, s:1, b:1),
% 12.08/12.45 skol99 [394, 2] (w:1, o:263, a:1, s:1, b:1),
% 12.08/12.45 skol100 [395, 2] (w:1, o:231, a:1, s:1, b:1).
% 12.08/12.45
% 12.08/12.45
% 12.08/12.45 Starting Search:
% 12.08/12.45
% 12.08/12.45 *** allocated 113905 integers for clauses
% 12.08/12.45 *** allocated 170857 integers for clauses
% 12.08/12.45 Resimplifying inuse:
% 12.08/12.45 Done
% 12.08/12.45
% 12.08/12.45
% 12.08/12.45 Intermediate Status:
% 12.08/12.45 Generated: 3355
% 12.08/12.45 Kept: 2059
% 12.08/12.45 Inuse: 81
% 12.08/12.45 Deleted: 0
% 12.08/12.45 Deletedinuse: 0
% 12.08/12.45
% 12.08/12.45 Resimplifying inuse:
% 12.08/12.45 Done
% 12.08/12.45
% 12.08/12.45 *** allocated 256285 integers for clauses
% 12.08/12.45 Resimplifying inuse:
% 12.08/12.45 Done
% 12.08/12.45
% 12.08/12.45 *** allocated 170857 integers for termspace/termends
% 12.08/12.45
% 12.08/12.45 Intermediate Status:
% 12.08/12.45 Generated: 7499
% 12.08/12.45 Kept: 4069
% 12.08/12.45 Inuse: 213
% 12.08/12.45 Deleted: 0
% 12.08/12.45 Deletedinuse: 0
% 12.08/12.45
% 12.08/12.45 *** allocated 384427 integers for clauses
% 12.08/12.45 Resimplifying inuse:
% 12.08/12.45 Done
% 12.08/12.45
% 12.08/12.45
% 12.08/12.45 Intermediate Status:
% 12.08/12.45 Generated: 11824
% 12.08/12.45 Kept: 6069
% 12.08/12.45 Inuse: 271
% 12.08/12.45 Deleted: 0
% 12.08/12.45 Deletedinuse: 0
% 12.08/12.45
% 12.08/12.45 Resimplifying inuse:
% 12.08/12.45 Done
% 12.08/12.45
% 12.08/12.45 Resimplifying inuse:
% 12.08/12.45 Done
% 12.08/12.45
% 12.08/12.45 *** allocated 256285 integers for termspace/termends
% 12.08/12.45
% 12.08/12.45 Intermediate Status:
% 12.08/12.45 Generated: 16949
% 12.08/12.45 Kept: 8088
% 12.08/12.45 Inuse: 331
% 12.08/12.45 Deleted: 1
% 12.08/12.45 Deletedinuse: 0
% 12.08/12.45
% 12.08/12.45 *** allocated 576640 integers for clauses
% 12.08/12.45 Resimplifying inuse:
% 12.08/12.45 Done
% 12.08/12.45
% 12.08/12.45 Resimplifying inuse:
% 12.08/12.45 Done
% 12.08/12.45
% 12.08/12.45
% 12.08/12.45 Intermediate Status:
% 12.08/12.45 Generated: 23573
% 12.08/12.45 Kept: 10176
% 12.08/12.45 Inuse: 375
% 12.08/12.45 Deleted: 1
% 12.08/12.45 Deletedinuse: 0
% 12.08/12.45
% 12.08/12.45 *** allocated 384427 integers for termspace/termends
% 12.08/12.45 Resimplifying inuse:
% 12.08/12.45 Done
% 12.08/12.45
% 12.08/12.45 Resimplifying inuse:
% 12.08/12.45 Done
% 12.08/12.45
% 12.08/12.45
% 12.08/12.45 Intermediate Status:
% 12.08/12.45 Generated: 30271
% 12.08/12.45 Kept: 12205
% 12.08/12.45 Inuse: 425
% 12.08/12.45 Deleted: 1
% 12.08/12.45 Deletedinuse: 0
% 12.08/12.45
% 12.08/12.45 *** allocated 864960 integers for clauses
% 12.08/12.45 Resimplifying inuse:
% 12.08/12.45 Done
% 12.08/12.45
% 12.08/12.45
% 12.08/12.45 Intermediate Status:
% 12.08/12.45 Generated: 36542
% 12.08/12.45 Kept: 14330
% 12.08/12.45 Inuse: 461
% 12.08/12.45 Deleted: 5
% 12.08/12.45 Deletedinuse: 0
% 12.08/12.45
% 12.08/12.45 Resimplifying inuse:
% 12.08/12.45 Done
% 12.08/12.45
% 12.08/12.45 *** allocated 576640 integers for termspace/termends
% 12.08/12.45 Resimplifying inuse:
% 12.08/12.45 Done
% 41.31/41.68
% 41.31/41.68
% 41.31/41.68 Intermediate Status:
% 41.31/41.68 Generated: 43646
% 41.31/41.68 Kept: 16387
% 41.31/41.68 Inuse: 511
% 41.31/41.68 Deleted: 5
% 41.31/41.68 Deletedinuse: 0
% 41.31/41.68
% 41.31/41.68 Resimplifying inuse:
% 41.31/41.68 Done
% 41.31/41.68
% 41.31/41.68
% 41.31/41.68 Intermediate Status:
% 41.31/41.68 Generated: 48938
% 41.31/41.68 Kept: 18411
% 41.31/41.68 Inuse: 544
% 41.31/41.68 Deleted: 5
% 41.31/41.68 Deletedinuse: 0
% 41.31/41.68
% 41.31/41.68 Resimplifying inuse:
% 41.31/41.68 Done
% 41.31/41.68
% 41.31/41.68 *** allocated 1297440 integers for clauses
% 41.31/41.68
% 41.31/41.68 Intermediate Status:
% 41.31/41.68 Generated: 52606
% 41.31/41.68 Kept: 20936
% 41.31/41.68 Inuse: 561
% 41.31/41.68 Deleted: 5
% 41.31/41.68 Deletedinuse: 0
% 41.31/41.68
% 41.31/41.68 Resimplifying inuse:
% 41.31/41.68 Done
% 41.31/41.68
% 41.31/41.68 Resimplifying clauses:
% 41.31/41.68 Done
% 41.31/41.68
% 41.31/41.68 Resimplifying inuse:
% 41.31/41.68 Done
% 41.31/41.68
% 41.31/41.68
% 41.31/41.68 Intermediate Status:
% 41.31/41.68 Generated: 57609
% 41.31/41.68 Kept: 23003
% 41.31/41.68 Inuse: 616
% 41.31/41.68 Deleted: 371
% 41.31/41.68 Deletedinuse: 2
% 41.31/41.68
% 41.31/41.68 Resimplifying inuse:
% 41.31/41.68 Done
% 41.31/41.68
% 41.31/41.68 Resimplifying inuse:
% 41.31/41.68 Done
% 41.31/41.68
% 41.31/41.68
% 41.31/41.68 Intermediate Status:
% 41.31/41.68 Generated: 62864
% 41.31/41.68 Kept: 25015
% 41.31/41.68 Inuse: 673
% 41.31/41.68 Deleted: 371
% 41.31/41.68 Deletedinuse: 2
% 41.31/41.68
% 41.31/41.68 Resimplifying inuse:
% 41.31/41.68 Done
% 41.31/41.68
% 41.31/41.68 *** allocated 864960 integers for termspace/termends
% 41.31/41.68 Resimplifying inuse:
% 41.31/41.68 Done
% 41.31/41.68
% 41.31/41.68
% 41.31/41.68 Intermediate Status:
% 41.31/41.68 Generated: 67154
% 41.31/41.68 Kept: 27028
% 41.31/41.68 Inuse: 729
% 41.31/41.68 Deleted: 371
% 41.31/41.68 Deletedinuse: 2
% 41.31/41.68
% 41.31/41.68 Resimplifying inuse:
% 41.31/41.68 Done
% 41.31/41.68
% 41.31/41.68 Resimplifying inuse:
% 41.31/41.68 Done
% 41.31/41.68
% 41.31/41.68
% 41.31/41.68 Intermediate Status:
% 41.31/41.68 Generated: 71989
% 41.31/41.68 Kept: 29058
% 41.31/41.68 Inuse: 772
% 41.31/41.68 Deleted: 371
% 41.31/41.68 Deletedinuse: 2
% 41.31/41.68
% 41.31/41.68 Resimplifying inuse:
% 41.31/41.68 Done
% 41.31/41.68
% 41.31/41.68 *** allocated 1946160 integers for clauses
% 41.31/41.68 Resimplifying inuse:
% 41.31/41.68 Done
% 41.31/41.68
% 41.31/41.68
% 41.31/41.68 Intermediate Status:
% 41.31/41.68 Generated: 75719
% 41.31/41.68 Kept: 31076
% 41.31/41.68 Inuse: 788
% 41.31/41.68 Deleted: 371
% 41.31/41.68 Deletedinuse: 2
% 41.31/41.68
% 41.31/41.68 Resimplifying inuse:
% 41.31/41.68 Done
% 41.31/41.68
% 41.31/41.68 Resimplifying inuse:
% 41.31/41.68 Done
% 41.31/41.68
% 41.31/41.68
% 41.31/41.68 Intermediate Status:
% 41.31/41.68 Generated: 81564
% 41.31/41.68 Kept: 33092
% 41.31/41.68 Inuse: 829
% 41.31/41.68 Deleted: 371
% 41.31/41.68 Deletedinuse: 2
% 41.31/41.68
% 41.31/41.68 Resimplifying inuse:
% 41.31/41.68 Done
% 41.31/41.68
% 41.31/41.68 Resimplifying inuse:
% 41.31/41.68 Done
% 41.31/41.68
% 41.31/41.68
% 41.31/41.68 Intermediate Status:
% 41.31/41.68 Generated: 87329
% 41.31/41.68 Kept: 35119
% 41.31/41.68 Inuse: 873
% 41.31/41.68 Deleted: 371
% 41.31/41.68 Deletedinuse: 2
% 41.31/41.68
% 41.31/41.68 Resimplifying inuse:
% 41.31/41.68 Done
% 41.31/41.68
% 41.31/41.68 Resimplifying inuse:
% 41.31/41.68 Done
% 41.31/41.68
% 41.31/41.68
% 41.31/41.68 Intermediate Status:
% 41.31/41.68 Generated: 93120
% 41.31/41.68 Kept: 37131
% 41.31/41.68 Inuse: 920
% 41.31/41.68 Deleted: 371
% 41.31/41.68 Deletedinuse: 2
% 41.31/41.68
% 41.31/41.68 *** allocated 1297440 integers for termspace/termends
% 41.31/41.68
% 41.31/41.68 Intermediate Status:
% 41.31/41.68 Generated: 99801
% 41.31/41.68 Kept: 40570
% 41.31/41.68 Inuse: 941
% 41.31/41.68 Deleted: 371
% 41.31/41.68 Deletedinuse: 2
% 41.31/41.68
% 41.31/41.68 Resimplifying inuse:
% 41.31/41.68 Done
% 41.31/41.68
% 41.31/41.68 Resimplifying clauses:
% 41.31/41.68 Done
% 41.31/41.68
% 41.31/41.68 Resimplifying inuse:
% 41.31/41.68 Done
% 41.31/41.68
% 41.31/41.68
% 41.31/41.68 Intermediate Status:
% 41.31/41.68 Generated: 111459
% 41.31/41.68 Kept: 44393
% 41.31/41.68 Inuse: 976
% 41.31/41.68 Deleted: 638
% 41.31/41.68 Deletedinuse: 2
% 41.31/41.68
% 41.31/41.68 Resimplifying inuse:
% 41.31/41.68 Done
% 41.31/41.68
% 41.31/41.68 *** allocated 2919240 integers for clauses
% 41.31/41.68 Resimplifying inuse:
% 41.31/41.68 Done
% 41.31/41.68
% 41.31/41.68
% 41.31/41.68 Intermediate Status:
% 41.31/41.68 Generated: 126634
% 41.31/41.68 Kept: 47852
% 41.31/41.68 Inuse: 1041
% 41.31/41.68 Deleted: 640
% 41.31/41.68 Deletedinuse: 3
% 41.31/41.68
% 41.31/41.68 Resimplifying inuse:
% 41.31/41.68 Done
% 41.31/41.68
% 41.31/41.68 Resimplifying inuse:
% 41.31/41.68 Done
% 41.31/41.68
% 41.31/41.68
% 41.31/41.68 Intermediate Status:
% 41.31/41.68 Generated: 132182
% 41.31/41.68 Kept: 49858
% 41.31/41.68 Inuse: 1089
% 41.31/41.68 Deleted: 640
% 41.31/41.68 Deletedinuse: 3
% 41.31/41.68
% 41.31/41.68 Resimplifying inuse:
% 41.31/41.68 Done
% 41.31/41.68
% 41.31/41.68 Resimplifying inuse:
% 41.31/41.68 Done
% 41.31/41.68
% 41.31/41.68
% 41.31/41.68 Intermediate Status:
% 41.31/41.68 Generated: 138457
% 41.31/41.68 Kept: 51916
% 41.31/41.68 Inuse: 1145
% 41.31/41.68 Deleted: 640
% 41.31/41.68 Deletedinuse: 3
% 41.31/41.68
% 41.31/41.68 Resimplifying inuse:
% 41.31/41.68 Done
% 41.31/41.68
% 41.31/41.68 Resimplifying inuse:
% 41.31/41.68 Done
% 41.31/41.68
% 41.31/41.68
% 41.31/41.68 Intermediate Status:
% 41.31/41.68 Generated: 144954
% 41.31/41.68 Kept: 54008
% 41.31/41.68 Inuse: 1205
% 41.31/41.68 Deleted: 640
% 41.31/41.68 Deletedinuse: 3
% 41.31/41.68
% 41.31/41.68 Resimplifying inuse:
% 41.31/41.68 Done
% 41.31/41.68
% 41.31/41.68
% 41.31/41.68 Intermediate Status:
% 41.31/41.68 Generated: 154604
% 41.31/41.68 Kept: 59557
% 41.31/41.68 Inuse: 1235
% 41.31/41.68 Deleted: 640
% 41.31/41.68 Deletedinuse: 3
% 41.31/41.68
% 41.31/41.68 Resimplifying inuse:
% 41.31/41.68 Done
% 41.31/41.68
% 41.31/41.68 *** allocated 1946160 integers for termspace/termends
% 41.31/41.68
% 41.31/41.68 Intermediate Status:
% 41.31/41.68 Generated: 163829
% 41.31/41.68 Kept: 62186
% 41.31/41.68 Inuse: 1245
% 41.31/41.68 Deleted: 640
% 41.31/41.68 Deletedinuse: 3
% 41.31/41.68
% 41.31/41.68 Resimplifying inuse:
% 41.31/41.68 Done
% 41.31/41.68
% 41.31/41.68 Resimplifying clauses:
% 41.31/41.68 Done
% 41.31/41.68
% 41.31/41.68
% 41.31/41.68 Intermediate Status:
% 41.31/41.68 Generated: 170147
% 41.31/41.68 Kept: 66871
% 41.31/41.68 Inuse: 1255
% 41.31/41.68 Deleted: 711
% 41.31/41.68 Deletedinuse: 3
% 41.31/41.68
% 41.31/41.68 Resimplifying inuse:
% 41.31/41.68 Done
% 41.31/41.68
% 41.31/41.68 *** allocated 4378860 integers for clauses
% 41.31/41.68
% 41.31/41.68 Intermediate Status:
% 41.31/41.68 Generated: 180076
% 41.31/41.68 Kept: 69707
% 41.31/41.68 Inuse: 1295
% 41.31/41.68 Deleted: 711
% 41.31/41.68 Deletedinuse: 3
% 41.31/41.68
% 41.31/41.68 Resimplifying inuse:
% 41.31/41.68 Done
% 41.31/41.68
% 41.31/41.68 Resimplifying inuse:
% 41.31/41.68 Done
% 41.31/41.68
% 41.31/41.68
% 41.31/41.68 Intermediate Status:
% 41.31/41.68 Generated: 186909
% 41.31/41.68 Kept: 71733
% 41.31/41.68 Inuse: 1331
% 41.31/41.68 Deleted: 711
% 41.31/41.68 Deletedinuse: 3
% 41.31/41.68
% 41.31/41.68 Resimplifying inuse:
% 41.31/41.68 Done
% 41.31/41.68
% 41.31/41.68 Resimplifying inuse:
% 41.31/41.68 Done
% 41.31/41.68
% 41.31/41.68
% 41.31/41.68 Intermediate Status:
% 41.31/41.68 Generated: 191337
% 41.31/41.68 Kept: 73794
% 41.31/41.68 Inuse: 1351
% 41.31/41.68 Deleted: 711
% 41.31/41.68 Deletedinuse: 3
% 41.31/41.68
% 41.31/41.68 Resimplifying inuse:
% 41.31/41.68 Done
% 41.31/41.68
% 41.31/41.68 Resimplifying inuse:
% 105.57/105.91 Done
% 105.57/105.91
% 105.57/105.91
% 105.57/105.91 Intermediate Status:
% 105.57/105.91 Generated: 203867
% 105.57/105.91 Kept: 78162
% 105.57/105.91 Inuse: 1380
% 105.57/105.91 Deleted: 711
% 105.57/105.91 Deletedinuse: 3
% 105.57/105.91
% 105.57/105.91 Resimplifying inuse:
% 105.57/105.91 Done
% 105.57/105.91
% 105.57/105.91
% 105.57/105.91 Intermediate Status:
% 105.57/105.91 Generated: 213151
% 105.57/105.91 Kept: 80972
% 105.57/105.91 Inuse: 1390
% 105.57/105.91 Deleted: 711
% 105.57/105.91 Deletedinuse: 3
% 105.57/105.91
% 105.57/105.91 Resimplifying inuse:
% 105.57/105.91 Done
% 105.57/105.91
% 105.57/105.91 Resimplifying inuse:
% 105.57/105.91 Done
% 105.57/105.91
% 105.57/105.91 Resimplifying clauses:
% 105.57/105.91 Done
% 105.57/105.91
% 105.57/105.91
% 105.57/105.91 Intermediate Status:
% 105.57/105.91 Generated: 217195
% 105.57/105.91 Kept: 82995
% 105.57/105.91 Inuse: 1438
% 105.57/105.91 Deleted: 875
% 105.57/105.91 Deletedinuse: 3
% 105.57/105.91
% 105.57/105.91 Resimplifying inuse:
% 105.57/105.91 Done
% 105.57/105.91
% 105.57/105.91 Resimplifying inuse:
% 105.57/105.91 Done
% 105.57/105.91
% 105.57/105.91
% 105.57/105.91 Intermediate Status:
% 105.57/105.91 Generated: 223015
% 105.57/105.91 Kept: 85005
% 105.57/105.91 Inuse: 1463
% 105.57/105.91 Deleted: 875
% 105.57/105.91 Deletedinuse: 3
% 105.57/105.91
% 105.57/105.91
% 105.57/105.91 Intermediate Status:
% 105.57/105.91 Generated: 233354
% 105.57/105.91 Kept: 88038
% 105.57/105.91 Inuse: 1470
% 105.57/105.91 Deleted: 875
% 105.57/105.91 Deletedinuse: 3
% 105.57/105.91
% 105.57/105.91 Resimplifying inuse:
% 105.57/105.91 Done
% 105.57/105.91
% 105.57/105.91
% 105.57/105.91 Intermediate Status:
% 105.57/105.91 Generated: 244855
% 105.57/105.91 Kept: 91397
% 105.57/105.91 Inuse: 1480
% 105.57/105.91 Deleted: 875
% 105.57/105.91 Deletedinuse: 3
% 105.57/105.91
% 105.57/105.91 Resimplifying inuse:
% 105.57/105.91 Done
% 105.57/105.91
% 105.57/105.91 Resimplifying inuse:
% 105.57/105.91 Done
% 105.57/105.91
% 105.57/105.91 *** allocated 2919240 integers for termspace/termends
% 105.57/105.91
% 105.57/105.91 Intermediate Status:
% 105.57/105.91 Generated: 251172
% 105.57/105.91 Kept: 93448
% 105.57/105.91 Inuse: 1503
% 105.57/105.91 Deleted: 875
% 105.57/105.91 Deletedinuse: 3
% 105.57/105.91
% 105.57/105.91 Resimplifying inuse:
% 105.57/105.91 Done
% 105.57/105.91
% 105.57/105.91 Resimplifying inuse:
% 105.57/105.91 Done
% 105.57/105.91
% 105.57/105.91
% 105.57/105.91 Intermediate Status:
% 105.57/105.91 Generated: 256957
% 105.57/105.91 Kept: 95499
% 105.57/105.91 Inuse: 1525
% 105.57/105.91 Deleted: 875
% 105.57/105.91 Deletedinuse: 3
% 105.57/105.91
% 105.57/105.91 Resimplifying inuse:
% 105.57/105.91 Done
% 105.57/105.91
% 105.57/105.91 Resimplifying inuse:
% 105.57/105.91 Done
% 105.57/105.91
% 105.57/105.91
% 105.57/105.91 Intermediate Status:
% 105.57/105.91 Generated: 262931
% 105.57/105.91 Kept: 97559
% 105.57/105.91 Inuse: 1548
% 105.57/105.91 Deleted: 875
% 105.57/105.91 Deletedinuse: 3
% 105.57/105.91
% 105.57/105.91 Resimplifying inuse:
% 105.57/105.91 Done
% 105.57/105.91
% 105.57/105.91 Resimplifying inuse:
% 105.57/105.91 Done
% 105.57/105.91
% 105.57/105.91 *** allocated 6568290 integers for clauses
% 105.57/105.91
% 105.57/105.91 Intermediate Status:
% 105.57/105.91 Generated: 269985
% 105.57/105.91 Kept: 99581
% 105.57/105.91 Inuse: 1578
% 105.57/105.91 Deleted: 875
% 105.57/105.91 Deletedinuse: 3
% 105.57/105.91
% 105.57/105.91 Resimplifying inuse:
% 105.57/105.91 Done
% 105.57/105.91
% 105.57/105.91 Resimplifying inuse:
% 105.57/105.91 Done
% 105.57/105.91
% 105.57/105.91
% 105.57/105.91 Intermediate Status:
% 105.57/105.91 Generated: 276388
% 105.57/105.91 Kept: 101649
% 105.57/105.91 Inuse: 1610
% 105.57/105.91 Deleted: 875
% 105.57/105.91 Deletedinuse: 3
% 105.57/105.91
% 105.57/105.91 Resimplifying inuse:
% 105.57/105.91 Done
% 105.57/105.91
% 105.57/105.91 Resimplifying clauses:
% 105.57/105.91 Done
% 105.57/105.91
% 105.57/105.91 Resimplifying inuse:
% 105.57/105.91 Done
% 105.57/105.91
% 105.57/105.91
% 105.57/105.91 Intermediate Status:
% 105.57/105.91 Generated: 282593
% 105.57/105.91 Kept: 103674
% 105.57/105.91 Inuse: 1638
% 105.57/105.91 Deleted: 931
% 105.57/105.91 Deletedinuse: 3
% 105.57/105.91
% 105.57/105.91 Resimplifying inuse:
% 105.57/105.91 Done
% 105.57/105.91
% 105.57/105.91 Resimplifying inuse:
% 105.57/105.91 Done
% 105.57/105.91
% 105.57/105.91
% 105.57/105.91 Intermediate Status:
% 105.57/105.91 Generated: 289521
% 105.57/105.91 Kept: 105725
% 105.57/105.91 Inuse: 1665
% 105.57/105.91 Deleted: 931
% 105.57/105.91 Deletedinuse: 3
% 105.57/105.91
% 105.57/105.91 Resimplifying inuse:
% 105.57/105.91 Done
% 105.57/105.91
% 105.57/105.91 Resimplifying inuse:
% 105.57/105.91 Done
% 105.57/105.91
% 105.57/105.91
% 105.57/105.91 Intermediate Status:
% 105.57/105.91 Generated: 296490
% 105.57/105.91 Kept: 107734
% 105.57/105.91 Inuse: 1689
% 105.57/105.91 Deleted: 931
% 105.57/105.91 Deletedinuse: 3
% 105.57/105.91
% 105.57/105.91 Resimplifying inuse:
% 105.57/105.91 Done
% 105.57/105.91
% 105.57/105.91
% 105.57/105.91 Intermediate Status:
% 105.57/105.91 Generated: 311074
% 105.57/105.91 Kept: 112144
% 105.57/105.91 Inuse: 1700
% 105.57/105.91 Deleted: 931
% 105.57/105.91 Deletedinuse: 3
% 105.57/105.91
% 105.57/105.91 Resimplifying inuse:
% 105.57/105.91 Done
% 105.57/105.91
% 105.57/105.91 Resimplifying inuse:
% 105.57/105.91 Done
% 105.57/105.91
% 105.57/105.91
% 105.57/105.91 Intermediate Status:
% 105.57/105.91 Generated: 318528
% 105.57/105.91 Kept: 114208
% 105.57/105.91 Inuse: 1722
% 105.57/105.91 Deleted: 931
% 105.57/105.91 Deletedinuse: 3
% 105.57/105.91
% 105.57/105.91 Resimplifying inuse:
% 105.57/105.91 Done
% 105.57/105.91
% 105.57/105.91 Resimplifying inuse:
% 105.57/105.91 Done
% 105.57/105.91
% 105.57/105.91
% 105.57/105.91 Intermediate Status:
% 105.57/105.91 Generated: 326485
% 105.57/105.91 Kept: 116333
% 105.57/105.91 Inuse: 1745
% 105.57/105.91 Deleted: 931
% 105.57/105.91 Deletedinuse: 3
% 105.57/105.91
% 105.57/105.91 Resimplifying inuse:
% 105.57/105.91 Done
% 105.57/105.91
% 105.57/105.91 Resimplifying inuse:
% 105.57/105.91 Done
% 105.57/105.91
% 105.57/105.91
% 105.57/105.91 Intermediate Status:
% 105.57/105.91 Generated: 334831
% 105.57/105.91 Kept: 118348
% 105.57/105.91 Inuse: 1765
% 105.57/105.91 Deleted: 932
% 105.57/105.91 Deletedinuse: 3
% 105.57/105.91
% 105.57/105.91 Resimplifying inuse:
% 105.57/105.91 Done
% 105.57/105.91
% 105.57/105.91
% 105.57/105.91 Intermediate Status:
% 105.57/105.91 Generated: 342949
% 105.57/105.91 Kept: 122846
% 105.57/105.91 Inuse: 1774
% 105.57/105.91 Deleted: 932
% 105.57/105.91 Deletedinuse: 3
% 105.57/105.91
% 105.57/105.91 Resimplifying inuse:
% 105.57/105.91 Done
% 105.57/105.91
% 105.57/105.91 Resimplifying clauses:
% 105.57/105.91 Done
% 105.57/105.91
% 105.57/105.91
% 105.57/105.91 Intermediate Status:
% 105.57/105.91 Generated: 350968
% 105.57/105.91 Kept: 127290
% 105.57/105.91 Inuse: 1784
% 105.57/105.91 Deleted: 958
% 105.57/105.91 Deletedinuse: 3
% 105.57/105.91
% 105.57/105.91 Resimplifying inuse:
% 105.57/105.91 Done
% 105.57/105.91
% 105.57/105.91 Resimplifying inuse:
% 105.57/105.91 Done
% 105.57/105.91
% 105.57/105.91
% 105.57/105.91 Intermediate Status:
% 105.57/105.91 Generated: 358216
% 105.57/105.91 Kept: 129434
% 105.57/105.91 Inuse: 1804
% 105.57/105.91 Deleted: 958
% 105.57/105.91 Deletedinuse: 3
% 105.57/105.91
% 105.57/105.91 Resimplifying inuse:
% 105.57/105.91 Done
% 105.57/105.91
% 105.57/105.91 Resimplifying inuse:
% 105.57/105.91 Done
% 105.57/105.91
% 105.57/105.91
% 105.57/105.91 Intermediate Status:
% 105.57/105.91 Generated: 364546
% 105.57/105.91 Kept: 131460
% 105.57/105.91 Inuse: 1824
% 105.57/105.91 Deleted: 958
% 105.57/105.91 Deletedinuse: 3
% 105.57/105.91
% 105.57/105.91 Resimplifying inuse:
% 105.57/105.91 Done
% 105.57/105.91
% 105.57/105.91 Resimplifying inuse:
% 105.57/105.91 Done
% 105.57/105.91
% 105.57/105.91
% 105.57/105.91 Intermediate Status:
% 105.57/105.91 Generated: 369915
% 105.57/105.91 Kept: 133526
% 105.57/105.91 Inuse: 1848
% 105.57/105.91 Deleted: 958
% 105.57/105.91 Deletedinuse: 3
% 105.57/105.91
% 105.57/105.91 Resimplifying inuse:
% 105.57/105.91 Done
% 105.57/105.91
% 105.57/105.91 Resimplifying inuse:
% 105.57/105.91 Done
% 105.57/105.91
% 105.57/105.91
% 105.57/105.91 Intermediate Status:
% 105.57/105.91 Generated: 376146
% 105.57/105.91 Kept: 135606
% 105.57/105.91 Inuse: 1874
% 105.57/105.91 Deleted: 958
% 105.57/105.91 Deletedinuse: 3
% 105.57/105.91
% 105.57/105.91 Resimplifying inuse:
% 105.57/105.91 Done
% 190.80/191.18
% 190.80/191.18 Resimplifying inuse:
% 190.80/191.18 Done
% 190.80/191.18
% 190.80/191.18
% 190.80/191.18 Intermediate Status:
% 190.80/191.18 Generated: 381575
% 190.80/191.18 Kept: 137652
% 190.80/191.18 Inuse: 1904
% 190.80/191.18 Deleted: 958
% 190.80/191.18 Deletedinuse: 3
% 190.80/191.18
% 190.80/191.18 Resimplifying inuse:
% 190.80/191.18 Done
% 190.80/191.18
% 190.80/191.18 Resimplifying inuse:
% 190.80/191.18 Done
% 190.80/191.18
% 190.80/191.18
% 190.80/191.18 Intermediate Status:
% 190.80/191.18 Generated: 388369
% 190.80/191.18 Kept: 139686
% 190.80/191.18 Inuse: 1943
% 190.80/191.18 Deleted: 958
% 190.80/191.18 Deletedinuse: 3
% 190.80/191.18
% 190.80/191.18 Resimplifying inuse:
% 190.80/191.18 Done
% 190.80/191.18
% 190.80/191.18 Resimplifying inuse:
% 190.80/191.18 Done
% 190.80/191.18
% 190.80/191.18
% 190.80/191.18 Intermediate Status:
% 190.80/191.18 Generated: 394671
% 190.80/191.18 Kept: 141733
% 190.80/191.18 Inuse: 1964
% 190.80/191.18 Deleted: 958
% 190.80/191.18 Deletedinuse: 3
% 190.80/191.18
% 190.80/191.18 Resimplifying inuse:
% 190.80/191.18 Done
% 190.80/191.18
% 190.80/191.18 Resimplifying clauses:
% 190.80/191.18 Done
% 190.80/191.18
% 190.80/191.18 Resimplifying inuse:
% 190.80/191.18 Done
% 190.80/191.18
% 190.80/191.18
% 190.80/191.18 Intermediate Status:
% 190.80/191.18 Generated: 402740
% 190.80/191.18 Kept: 143747
% 190.80/191.18 Inuse: 1987
% 190.80/191.18 Deleted: 2314
% 190.80/191.18 Deletedinuse: 3
% 190.80/191.18
% 190.80/191.18 Resimplifying inuse:
% 190.80/191.18 Done
% 190.80/191.18
% 190.80/191.18 Resimplifying inuse:
% 190.80/191.18 Done
% 190.80/191.18
% 190.80/191.18
% 190.80/191.18 Intermediate Status:
% 190.80/191.18 Generated: 410727
% 190.80/191.18 Kept: 145948
% 190.80/191.18 Inuse: 2014
% 190.80/191.18 Deleted: 2315
% 190.80/191.18 Deletedinuse: 4
% 190.80/191.18
% 190.80/191.18 Resimplifying inuse:
% 190.80/191.18 Done
% 190.80/191.18
% 190.80/191.18 Resimplifying inuse:
% 190.80/191.18 Done
% 190.80/191.18
% 190.80/191.18 *** allocated 9852435 integers for clauses
% 190.80/191.18 *** allocated 4378860 integers for termspace/termends
% 190.80/191.18
% 190.80/191.18 Intermediate Status:
% 190.80/191.18 Generated: 418072
% 190.80/191.18 Kept: 148079
% 190.80/191.18 Inuse: 2039
% 190.80/191.18 Deleted: 2315
% 190.80/191.18 Deletedinuse: 4
% 190.80/191.18
% 190.80/191.18 Resimplifying inuse:
% 190.80/191.18 Done
% 190.80/191.18
% 190.80/191.18 Resimplifying inuse:
% 190.80/191.18 Done
% 190.80/191.18
% 190.80/191.18
% 190.80/191.18 Intermediate Status:
% 190.80/191.18 Generated: 425278
% 190.80/191.18 Kept: 150085
% 190.80/191.18 Inuse: 2067
% 190.80/191.18 Deleted: 2315
% 190.80/191.18 Deletedinuse: 4
% 190.80/191.18
% 190.80/191.18 Resimplifying inuse:
% 190.80/191.18 Done
% 190.80/191.18
% 190.80/191.18
% 190.80/191.18 Intermediate Status:
% 190.80/191.18 Generated: 431262
% 190.80/191.18 Kept: 153699
% 190.80/191.18 Inuse: 2069
% 190.80/191.18 Deleted: 2315
% 190.80/191.18 Deletedinuse: 4
% 190.80/191.18
% 190.80/191.18 Resimplifying inuse:
% 190.80/191.18 Done
% 190.80/191.18
% 190.80/191.18
% 190.80/191.18 Intermediate Status:
% 190.80/191.18 Generated: 437825
% 190.80/191.18 Kept: 157457
% 190.80/191.18 Inuse: 2074
% 190.80/191.18 Deleted: 2315
% 190.80/191.18 Deletedinuse: 4
% 190.80/191.18
% 190.80/191.18 Resimplifying inuse:
% 190.80/191.18 Done
% 190.80/191.18
% 190.80/191.18 Resimplifying inuse:
% 190.80/191.18 Done
% 190.80/191.18
% 190.80/191.18
% 190.80/191.18 Intermediate Status:
% 190.80/191.18 Generated: 445534
% 190.80/191.18 Kept: 159488
% 190.80/191.18 Inuse: 2101
% 190.80/191.18 Deleted: 2315
% 190.80/191.18 Deletedinuse: 4
% 190.80/191.18
% 190.80/191.18 Resimplifying inuse:
% 190.80/191.18 Done
% 190.80/191.18
% 190.80/191.18
% 190.80/191.18 Intermediate Status:
% 190.80/191.18 Generated: 457609
% 190.80/191.18 Kept: 168667
% 190.80/191.18 Inuse: 2104
% 190.80/191.18 Deleted: 2317
% 190.80/191.18 Deletedinuse: 6
% 190.80/191.18
% 190.80/191.18 Resimplifying inuse:
% 190.80/191.18 Done
% 190.80/191.18
% 190.80/191.18 Resimplifying clauses:
% 190.80/191.18 Done
% 190.80/191.18
% 190.80/191.18
% 190.80/191.18 Intermediate Status:
% 190.80/191.18 Generated: 469467
% 190.80/191.18 Kept: 177849
% 190.80/191.18 Inuse: 2109
% 190.80/191.18 Deleted: 2481
% 190.80/191.18 Deletedinuse: 6
% 190.80/191.18
% 190.80/191.18 Resimplifying inuse:
% 190.80/191.18 Done
% 190.80/191.18
% 190.80/191.18
% 190.80/191.18 Intermediate Status:
% 190.80/191.18 Generated: 481481
% 190.80/191.18 Kept: 187125
% 190.80/191.18 Inuse: 2119
% 190.80/191.18 Deleted: 2481
% 190.80/191.18 Deletedinuse: 6
% 190.80/191.18
% 190.80/191.18 Resimplifying inuse:
% 190.80/191.18 Done
% 190.80/191.18
% 190.80/191.18
% 190.80/191.18 Intermediate Status:
% 190.80/191.18 Generated: 493168
% 190.80/191.18 Kept: 196231
% 190.80/191.18 Inuse: 2124
% 190.80/191.18 Deleted: 2481
% 190.80/191.18 Deletedinuse: 6
% 190.80/191.18
% 190.80/191.18 Resimplifying inuse:
% 190.80/191.18 Done
% 190.80/191.18
% 190.80/191.18 Resimplifying clauses:
% 190.80/191.18 Done
% 190.80/191.18
% 190.80/191.18 Resimplifying inuse:
% 190.80/191.18 Done
% 190.80/191.18
% 190.80/191.18
% 190.80/191.18 Intermediate Status:
% 190.80/191.18 Generated: 512378
% 190.80/191.18 Kept: 200973
% 190.80/191.18 Inuse: 2144
% 190.80/191.18 Deleted: 2523
% 190.80/191.18 Deletedinuse: 6
% 190.80/191.18
% 190.80/191.18 Resimplifying inuse:
% 190.80/191.18 Done
% 190.80/191.18
% 190.80/191.18
% 190.80/191.18 Intermediate Status:
% 190.80/191.18 Generated: 518477
% 190.80/191.18 Kept: 204003
% 190.80/191.18 Inuse: 2149
% 190.80/191.18 Deleted: 2530
% 190.80/191.18 Deletedinuse: 13
% 190.80/191.18
% 190.80/191.18 Resimplifying inuse:
% 190.80/191.18 Done
% 190.80/191.18
% 190.80/191.18 Resimplifying inuse:
% 190.80/191.18 Done
% 190.80/191.18
% 190.80/191.18
% 190.80/191.18 Intermediate Status:
% 190.80/191.18 Generated: 531681
% 190.80/191.18 Kept: 207124
% 190.80/191.18 Inuse: 2174
% 190.80/191.18 Deleted: 2532
% 190.80/191.18 Deletedinuse: 15
% 190.80/191.18
% 190.80/191.18 Resimplifying inuse:
% 190.80/191.18 Done
% 190.80/191.18
% 190.80/191.18 Resimplifying inuse:
% 190.80/191.18 Done
% 190.80/191.18
% 190.80/191.18
% 190.80/191.18 Intermediate Status:
% 190.80/191.18 Generated: 545141
% 190.80/191.18 Kept: 212094
% 190.80/191.18 Inuse: 2213
% 190.80/191.18 Deleted: 2535
% 190.80/191.18 Deletedinuse: 17
% 190.80/191.18
% 190.80/191.18 Resimplifying inuse:
% 190.80/191.18 Done
% 190.80/191.18
% 190.80/191.18
% 190.80/191.18 Intermediate Status:
% 190.80/191.18 Generated: 550936
% 190.80/191.18 Kept: 215214
% 190.80/191.18 Inuse: 2218
% 190.80/191.18 Deleted: 2537
% 190.80/191.18 Deletedinuse: 19
% 190.80/191.18
% 190.80/191.18 Resimplifying inuse:
% 190.80/191.18 Done
% 190.80/191.18
% 190.80/191.18
% 190.80/191.18 Intermediate Status:
% 190.80/191.18 Generated: 562641
% 190.80/191.18 Kept: 221454
% 190.80/191.18 Inuse: 2227
% 190.80/191.18 Deleted: 2538
% 190.80/191.18 Deletedinuse: 19
% 190.80/191.18
% 190.80/191.18 Resimplifying inuse:
% 190.80/191.18 Done
% 190.80/191.18
% 190.80/191.18 Resimplifying clauses:
% 190.80/191.18 Done
% 190.80/191.18
% 190.80/191.18
% 190.80/191.18 Intermediate Status:
% 190.80/191.18 Generated: 576702
% 190.80/191.18 Kept: 223802
% 190.80/191.18 Inuse: 2232
% 190.80/191.18 Deleted: 3059
% 190.80/191.18 Deletedinuse: 20
% 190.80/191.18
% 190.80/191.18 Resimplifying inuse:
% 190.80/191.18 Done
% 190.80/191.18
% 190.80/191.18 Resimplifying inuse:
% 190.80/191.18 Done
% 190.80/191.18
% 190.80/191.18
% 190.80/191.18 Intermediate Status:
% 190.80/191.18 Generated: 581850
% 190.80/191.18 Kept: 225979
% 190.80/191.18 Inuse: 2252
% 190.80/191.18 Deleted: 3062
% 190.80/191.18 Deletedinuse: 23
% 190.80/191.18
% 190.80/191.18 Resimplifying inuse:
% 190.80/191.18 Done
% 190.80/191.18
% 190.80/191.18 *** allocated 14778652 integers for clauses
% 190.80/191.18 *** allocated 6568290 integers for termspace/termends
% 190.80/191.18
% 190.80/191.18 Intermediate Status:
% 190.80/191.18 Generated: 595100
% 190.80/191.18 Kept: 229021
% 190.80/191.18 Inuse: 2257
% 190.80/191.18 Deleted: 3063
% 190.80/191.18 Deletedinuse: 24
% 190.80/191.18
% 190.80/191.18 Resimplifying inuse:
% 190.80/191.18 Done
% 190.80/191.18
% 190.80/191.18
% 190.80/191.18 Intermediate Status:
% 190.80/191.18 Generated: 608457
% 190.80/191.18 Kept: 232083
% 190.80/191.18 Inuse: 2262
% 190.80/191.18 Deleted: 3063
% 264.67/265.08 Deletedinuse: 24
% 264.67/265.08
% 264.67/265.08 Resimplifying inuse:
% 264.67/265.08 Done
% 264.67/265.08
% 264.67/265.08 Resimplifying inuse:
% 264.67/265.08 Done
% 264.67/265.08
% 264.67/265.08
% 264.67/265.08 Intermediate Status:
% 264.67/265.08 Generated: 614266
% 264.67/265.08 Kept: 234114
% 264.67/265.08 Inuse: 2274
% 264.67/265.08 Deleted: 3063
% 264.67/265.08 Deletedinuse: 24
% 264.67/265.08
% 264.67/265.08 Resimplifying inuse:
% 264.67/265.08 Done
% 264.67/265.08
% 264.67/265.08
% 264.67/265.08 Intermediate Status:
% 264.67/265.08 Generated: 622552
% 264.67/265.08 Kept: 239623
% 264.67/265.08 Inuse: 2282
% 264.67/265.08 Deleted: 3064
% 264.67/265.08 Deletedinuse: 25
% 264.67/265.08
% 264.67/265.08 Resimplifying inuse:
% 264.67/265.08 Done
% 264.67/265.08
% 264.67/265.08 Resimplifying inuse:
% 264.67/265.08 Done
% 264.67/265.08
% 264.67/265.08
% 264.67/265.08 Intermediate Status:
% 264.67/265.08 Generated: 627577
% 264.67/265.08 Kept: 241663
% 264.67/265.08 Inuse: 2297
% 264.67/265.08 Deleted: 3064
% 264.67/265.08 Deletedinuse: 25
% 264.67/265.08
% 264.67/265.08 Resimplifying clauses:
% 264.67/265.08 Done
% 264.67/265.08
% 264.67/265.08 Resimplifying inuse:
% 264.67/265.08 Done
% 264.67/265.08
% 264.67/265.08
% 264.67/265.08 Intermediate Status:
% 264.67/265.08 Generated: 636206
% 264.67/265.08 Kept: 247282
% 264.67/265.08 Inuse: 2317
% 264.67/265.08 Deleted: 3295
% 264.67/265.08 Deletedinuse: 26
% 264.67/265.08
% 264.67/265.08 Resimplifying inuse:
% 264.67/265.08 Done
% 264.67/265.08
% 264.67/265.08 Resimplifying inuse:
% 264.67/265.08 Done
% 264.67/265.08
% 264.67/265.08
% 264.67/265.08 Intermediate Status:
% 264.67/265.08 Generated: 641313
% 264.67/265.08 Kept: 249544
% 264.67/265.08 Inuse: 2352
% 264.67/265.08 Deleted: 3297
% 264.67/265.08 Deletedinuse: 28
% 264.67/265.08
% 264.67/265.08 Resimplifying inuse:
% 264.67/265.08 Done
% 264.67/265.08
% 264.67/265.08 Resimplifying inuse:
% 264.67/265.08 Done
% 264.67/265.08
% 264.67/265.08
% 264.67/265.08 Intermediate Status:
% 264.67/265.08 Generated: 661415
% 264.67/265.08 Kept: 252462
% 264.67/265.08 Inuse: 2382
% 264.67/265.08 Deleted: 3298
% 264.67/265.08 Deletedinuse: 29
% 264.67/265.08
% 264.67/265.08 Resimplifying inuse:
% 264.67/265.08 Done
% 264.67/265.08
% 264.67/265.08 Resimplifying inuse:
% 264.67/265.08 Done
% 264.67/265.08
% 264.67/265.08
% 264.67/265.08 Intermediate Status:
% 264.67/265.08 Generated: 678483
% 264.67/265.08 Kept: 254464
% 264.67/265.08 Inuse: 2389
% 264.67/265.08 Deleted: 3298
% 264.67/265.08 Deletedinuse: 29
% 264.67/265.08
% 264.67/265.08 Resimplifying inuse:
% 264.67/265.08 Done
% 264.67/265.08
% 264.67/265.08 Resimplifying inuse:
% 264.67/265.08 Done
% 264.67/265.08
% 264.67/265.08
% 264.67/265.08 Intermediate Status:
% 264.67/265.08 Generated: 687224
% 264.67/265.08 Kept: 256524
% 264.67/265.08 Inuse: 2414
% 264.67/265.08 Deleted: 3298
% 264.67/265.08 Deletedinuse: 29
% 264.67/265.08
% 264.67/265.08 Resimplifying inuse:
% 264.67/265.08 Done
% 264.67/265.08
% 264.67/265.08 Resimplifying inuse:
% 264.67/265.08 Done
% 264.67/265.08
% 264.67/265.08
% 264.67/265.08 Intermediate Status:
% 264.67/265.08 Generated: 695047
% 264.67/265.08 Kept: 258579
% 264.67/265.08 Inuse: 2441
% 264.67/265.08 Deleted: 3298
% 264.67/265.08 Deletedinuse: 29
% 264.67/265.08
% 264.67/265.08 Resimplifying inuse:
% 264.67/265.08 Done
% 264.67/265.08
% 264.67/265.08
% 264.67/265.08 Intermediate Status:
% 264.67/265.08 Generated: 701441
% 264.67/265.08 Kept: 260619
% 264.67/265.08 Inuse: 2461
% 264.67/265.08 Deleted: 3298
% 264.67/265.08 Deletedinuse: 29
% 264.67/265.08
% 264.67/265.08 Resimplifying inuse:
% 264.67/265.08 Done
% 264.67/265.08
% 264.67/265.08 Resimplifying clauses:
% 264.67/265.08 Done
% 264.67/265.08
% 264.67/265.08 Resimplifying inuse:
% 264.67/265.08 Done
% 264.67/265.08
% 264.67/265.08
% 264.67/265.08 Intermediate Status:
% 264.67/265.08 Generated: 708232
% 264.67/265.08 Kept: 262677
% 264.67/265.08 Inuse: 2475
% 264.67/265.08 Deleted: 3679
% 264.67/265.08 Deletedinuse: 33
% 264.67/265.08
% 264.67/265.08 Resimplifying inuse:
% 264.67/265.08 Done
% 264.67/265.08
% 264.67/265.08
% 264.67/265.08 Intermediate Status:
% 264.67/265.08 Generated: 714633
% 264.67/265.08 Kept: 264801
% 264.67/265.08 Inuse: 2487
% 264.67/265.08 Deleted: 3679
% 264.67/265.08 Deletedinuse: 33
% 264.67/265.08
% 264.67/265.08 Resimplifying inuse:
% 264.67/265.08 Done
% 264.67/265.08
% 264.67/265.08 Resimplifying inuse:
% 264.67/265.08 Done
% 264.67/265.08
% 264.67/265.08
% 264.67/265.08 Intermediate Status:
% 264.67/265.08 Generated: 721587
% 264.67/265.08 Kept: 266842
% 264.67/265.08 Inuse: 2503
% 264.67/265.08 Deleted: 3682
% 264.67/265.08 Deletedinuse: 36
% 264.67/265.08
% 264.67/265.08 Resimplifying inuse:
% 264.67/265.08 Done
% 264.67/265.08
% 264.67/265.08 Resimplifying inuse:
% 264.67/265.08 Done
% 264.67/265.08
% 264.67/265.08
% 264.67/265.08 Intermediate Status:
% 264.67/265.08 Generated: 728597
% 264.67/265.08 Kept: 268926
% 264.67/265.08 Inuse: 2517
% 264.67/265.08 Deleted: 3682
% 264.67/265.08 Deletedinuse: 36
% 264.67/265.08
% 264.67/265.08 Resimplifying inuse:
% 264.67/265.08 Done
% 264.67/265.08
% 264.67/265.08
% 264.67/265.08 Intermediate Status:
% 264.67/265.08 Generated: 735542
% 264.67/265.08 Kept: 271049
% 264.67/265.08 Inuse: 2532
% 264.67/265.08 Deleted: 3682
% 264.67/265.08 Deletedinuse: 36
% 264.67/265.08
% 264.67/265.08 Resimplifying inuse:
% 264.67/265.08 Done
% 264.67/265.08
% 264.67/265.08 Resimplifying inuse:
% 264.67/265.08 Done
% 264.67/265.08
% 264.67/265.08
% 264.67/265.08 Intermediate Status:
% 264.67/265.08 Generated: 742987
% 264.67/265.08 Kept: 273056
% 264.67/265.08 Inuse: 2551
% 264.67/265.08 Deleted: 3682
% 264.67/265.08 Deletedinuse: 36
% 264.67/265.08
% 264.67/265.08 Resimplifying inuse:
% 264.67/265.08 Done
% 264.67/265.08
% 264.67/265.08 Resimplifying inuse:
% 264.67/265.08 Done
% 264.67/265.08
% 264.67/265.08
% 264.67/265.08 Intermediate Status:
% 264.67/265.08 Generated: 749867
% 264.67/265.08 Kept: 275068
% 264.67/265.08 Inuse: 2574
% 264.67/265.08 Deleted: 3682
% 264.67/265.08 Deletedinuse: 36
% 264.67/265.08
% 264.67/265.08 Resimplifying inuse:
% 264.67/265.08 Done
% 264.67/265.08
% 264.67/265.08 Resimplifying inuse:
% 264.67/265.08 Done
% 264.67/265.08
% 264.67/265.08
% 264.67/265.08 Intermediate Status:
% 264.67/265.08 Generated: 756548
% 264.67/265.08 Kept: 277385
% 264.67/265.08 Inuse: 2617
% 264.67/265.08 Deleted: 3682
% 264.67/265.08 Deletedinuse: 36
% 264.67/265.08
% 264.67/265.08 Resimplifying inuse:
% 264.67/265.08 Done
% 264.67/265.08
% 264.67/265.08 Resimplifying inuse:
% 264.67/265.08 Done
% 264.67/265.08
% 264.67/265.08
% 264.67/265.08 Intermediate Status:
% 264.67/265.08 Generated: 761369
% 264.67/265.08 Kept: 279526
% 264.67/265.08 Inuse: 2657
% 264.67/265.08 Deleted: 3682
% 264.67/265.08 Deletedinuse: 36
% 264.67/265.08
% 264.67/265.08 Resimplifying inuse:
% 264.67/265.08 Done
% 264.67/265.08
% 264.67/265.08 Resimplifying inuse:
% 264.67/265.08 Done
% 264.67/265.08
% 264.67/265.08
% 264.67/265.08 Intermediate Status:
% 264.67/265.08 Generated: 766066
% 264.67/265.08 Kept: 281737
% 264.67/265.08 Inuse: 2682
% 264.67/265.08 Deleted: 3683
% 264.67/265.08 Deletedinuse: 37
% 264.67/265.08
% 264.67/265.08 Resimplifying inuse:
% 264.67/265.08 Done
% 264.67/265.08
% 264.67/265.08 Resimplifying clauses:
% 264.67/265.08 Done
% 264.67/265.08
% 264.67/265.08 Resimplifying inuse:
% 264.67/265.08 Done
% 264.67/265.08
% 264.67/265.08
% 264.67/265.08 Intermediate Status:
% 264.67/265.08 Generated: 770919
% 264.67/265.08 Kept: 284254
% 264.67/265.08 Inuse: 2707
% 264.67/265.08 Deleted: 3755
% 264.67/265.08 Deletedinuse: 37
% 264.67/265.08
% 264.67/265.08 Resimplifying inuse:
% 264.67/265.08 Done
% 264.67/265.08
% 264.67/265.08 Resimplifying inuse:
% 264.67/265.08 Done
% 264.67/265.08
% 264.67/265.08
% 264.67/265.08 Intermediate Status:
% 264.67/265.08 Generated: 778234
% 264.67/265.08 Kept: 286293
% 264.67/265.08 Inuse: 2731
% 264.67/265.08 Deleted: 3755
% 264.67/265.08 Deletedinuse: 37
% 264.67/265.08
% 264.67/265.08 Resimplifying inuse:
% 264.67/265.08 Done
% 264.67/265.08
% 264.67/265.08 Resimplifying inuse:
% 264.67/265.08 Done
% 264.67/265.08
% 264.67/265.08
% 264.67/265.08 Intermediate Status:
% 264.67/265.08 Generated: 784536
% 264.67/265.08 Kept: 288378
% 264.67/265.08 Inuse: 2752
% 264.67/265.08 Deleted: 3757
% 264.67/265.08 Deletedinuse: 39
% 264.67/265.08
% 264.67/265.08 Resimplifying inuse:
% 264.67/265.08 Done
% 264.67/265.08
% 264.67/265.08 Resimplifying inuse:
% 264.67/265.08 Done
% 264.67/265.08
% 264.67/265.08
% 264.67/265.08 Intermediate Status:
% 264.67/265.08 Generated: 795513
% 264.67/265.08 Kept: 293125Cputime limit exceeded (core dumped)
%------------------------------------------------------------------------------