TSTP Solution File: SWW177+1 by Bliksem---1.12
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : Bliksem---1.12
% Problem : SWW177+1 : TPTP v8.1.0. Released v5.2.0.
% Transfm : none
% Format : tptp:raw
% Command : bliksem %s
% Computer : n024.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 23:21:03 EDT 2022
% Result : Timeout 300.08s 300.52s
% Output : None
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----No solution output by system
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12 % Problem : SWW177+1 : TPTP v8.1.0. Released v5.2.0.
% 0.03/0.13 % Command : bliksem %s
% 0.13/0.34 % Computer : n024.cluster.edu
% 0.13/0.34 % Model : x86_64 x86_64
% 0.13/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.34 % Memory : 8042.1875MB
% 0.13/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.34 % CPULimit : 300
% 0.13/0.34 % DateTime : Sat Jun 4 13:39:50 EDT 2022
% 0.13/0.34 % CPUTime :
% 0.92/1.51 *** allocated 10000 integers for termspace/termends
% 0.92/1.51 *** allocated 10000 integers for clauses
% 0.92/1.51 *** allocated 10000 integers for justifications
% 0.92/1.51 *** allocated 15000 integers for termspace/termends
% 0.92/1.51 *** allocated 22500 integers for termspace/termends
% 0.92/1.51 *** allocated 33750 integers for termspace/termends
% 0.92/1.51 Bliksem 1.12
% 0.92/1.51
% 0.92/1.51
% 0.92/1.51 Automatic Strategy Selection
% 0.92/1.51
% 0.92/1.51 *** allocated 50625 integers for termspace/termends
% 0.92/1.51 *** allocated 75937 integers for termspace/termends
% 0.92/1.51 *** allocated 113905 integers for termspace/termends
% 0.92/1.51
% 0.92/1.51 Clauses:
% 0.92/1.51
% 0.92/1.51 { ! hAPP( Y, skol1( X, Y ) ) = hAPP( X, skol1( X, Y ) ), Y = X }.
% 0.92/1.51 { ! class_Fields_Olinordered__field__inverse__zero( X ), !
% 0.92/1.51 class_Int_Onumber__ring( X ), ! c_Orderings_Oord__class_Oless( X,
% 0.92/1.51 c_Groups_Ozero__class_Ozero( X ), c_Rings_Oinverse__class_Odivide( X, Y,
% 0.92/1.51 c_Int_Onumber__class_Onumber__of( X, c_Int_OBit0( c_Int_OBit1( c_Int_OPls
% 0.92/1.51 ) ) ) ) ), c_Orderings_Oord__class_Oless( X, c_Groups_Ozero__class_Ozero
% 0.92/1.51 ( X ), Y ) }.
% 0.92/1.51 { ! class_Fields_Olinordered__field__inverse__zero( X ), !
% 0.92/1.51 class_Int_Onumber__ring( X ), ! c_Orderings_Oord__class_Oless( X,
% 0.92/1.51 c_Groups_Ozero__class_Ozero( X ), Y ), c_Orderings_Oord__class_Oless( X,
% 0.92/1.51 c_Groups_Ozero__class_Ozero( X ), c_Rings_Oinverse__class_Odivide( X, Y,
% 0.92/1.51 c_Int_Onumber__class_Onumber__of( X, c_Int_OBit0( c_Int_OBit1( c_Int_OPls
% 0.92/1.51 ) ) ) ) ) }.
% 0.92/1.51 { ! class_Fields_Olinordered__field__inverse__zero( X ), !
% 0.92/1.51 class_Int_Onumber__ring( X ), ! c_Orderings_Oord__class_Oless( X,
% 0.92/1.51 c_Groups_Ozero__class_Ozero( X ), Y ), c_Orderings_Oord__class_Oless( X,
% 0.92/1.51 c_Groups_Ozero__class_Ozero( X ), c_Rings_Oinverse__class_Odivide( X, Y,
% 0.92/1.51 c_Int_Onumber__class_Onumber__of( X, c_Int_OBit0( c_Int_OBit1( c_Int_OPls
% 0.92/1.51 ) ) ) ) ) }.
% 0.92/1.51 { ! class_Fields_Ofield( X ), ! class_Int_Onumber__ring( X ),
% 0.92/1.51 c_Rings_Oinverse__class_Odivide( X, Y, c_Int_Onumber__class_Onumber__of(
% 0.92/1.51 X, c_Int_OBit1( c_Int_OPls ) ) ) = Y }.
% 0.92/1.51 { ! class_Fields_Ofield( X ), ! class_Int_Onumber__ring( X ),
% 0.92/1.51 c_Rings_Oinverse__class_Odivide( X, Y, c_Int_Onumber__class_Onumber__of(
% 0.92/1.51 X, c_Int_OBit1( c_Int_OPls ) ) ) = Y }.
% 0.92/1.51 { ! class_Fields_Ofield__inverse__zero( X ), ! class_Int_Onumber__ring( X )
% 0.92/1.51 , c_Rings_Oinverse__class_Odivide( X, Y, c_Int_Onumber__class_Onumber__of
% 0.92/1.51 ( X, c_Int_OPls ) ) = c_Groups_Ozero__class_Ozero( X ) }.
% 0.92/1.51 { ! class_Int_Onumber__ring( X ), ! class_Rings_Olinordered__idom( X ), !
% 0.92/1.51 c_Orderings_Oord__class_Oless( X, c_Groups_Ozero__class_Ozero( X ),
% 0.92/1.51 c_Int_Onumber__class_Onumber__of( X, Y ) ), c_Orderings_Oord__class_Oless
% 0.92/1.51 ( tc_Int_Oint, c_Int_OPls, Y ) }.
% 0.92/1.51 { ! class_Int_Onumber__ring( X ), ! class_Rings_Olinordered__idom( X ), !
% 0.92/1.51 c_Orderings_Oord__class_Oless( tc_Int_Oint, c_Int_OPls, Y ),
% 0.92/1.51 c_Orderings_Oord__class_Oless( X, c_Groups_Ozero__class_Ozero( X ),
% 0.92/1.51 c_Int_Onumber__class_Onumber__of( X, Y ) ) }.
% 0.92/1.51 { ! class_Int_Onumber__ring( X ), ! class_Rings_Olinordered__idom( X ), !
% 0.92/1.51 c_Orderings_Oord__class_Oless( X, c_Int_Onumber__class_Onumber__of( X, Y
% 0.92/1.51 ), c_Groups_Ozero__class_Ozero( X ) ), c_Orderings_Oord__class_Oless(
% 0.92/1.51 tc_Int_Oint, Y, c_Int_OPls ) }.
% 0.92/1.51 { ! class_Int_Onumber__ring( X ), ! class_Rings_Olinordered__idom( X ), !
% 0.92/1.51 c_Orderings_Oord__class_Oless( tc_Int_Oint, Y, c_Int_OPls ),
% 0.92/1.51 c_Orderings_Oord__class_Oless( X, c_Int_Onumber__class_Onumber__of( X, Y
% 0.92/1.51 ), c_Groups_Ozero__class_Ozero( X ) ) }.
% 0.92/1.51 { ! class_Int_Onumber__ring( X ), c_Groups_Ozero__class_Ozero( X ) =
% 0.92/1.51 c_Int_Onumber__class_Onumber__of( X, c_Int_OPls ) }.
% 0.92/1.51 { ! class_Int_Onumber__ring( X ), c_Int_Onumber__class_Onumber__of( X,
% 0.92/1.51 c_Int_OPls ) = c_Groups_Ozero__class_Ozero( X ) }.
% 0.92/1.51 { ! class_Fields_Olinordered__field__inverse__zero( X ), !
% 0.92/1.51 c_Orderings_Oord__class_Oless( X, c_Groups_Ozero__class_Ozero( X ),
% 0.92/1.51 c_Rings_Oinverse__class_Odivide( X, Z, Y ) ), alpha1( X, Y, Z ), alpha31
% 0.92/1.51 ( X, Y, Z ) }.
% 0.92/1.51 { ! class_Fields_Olinordered__field__inverse__zero( X ), ! alpha1( X, Y, Z
% 0.92/1.51 ), c_Orderings_Oord__class_Oless( X, c_Groups_Ozero__class_Ozero( X ),
% 0.92/1.51 c_Rings_Oinverse__class_Odivide( X, Z, Y ) ) }.
% 0.92/1.51 { ! class_Fields_Olinordered__field__inverse__zero( X ), ! alpha31( X, Y, Z
% 0.92/1.51 ), c_Orderings_Oord__class_Oless( X, c_Groups_Ozero__class_Ozero( X ),
% 0.92/1.51 c_Rings_Oinverse__class_Odivide( X, Z, Y ) ) }.
% 0.92/1.51 { ! alpha31( X, Y, Z ), c_Orderings_Oord__class_Oless( X, Z,
% 0.92/1.51 c_Groups_Ozero__class_Ozero( X ) ) }.
% 0.92/1.51 { ! alpha31( X, Y, Z ), c_Orderings_Oord__class_Oless( X, Y,
% 0.92/1.51 c_Groups_Ozero__class_Ozero( X ) ) }.
% 0.92/1.51 { ! c_Orderings_Oord__class_Oless( X, Z, c_Groups_Ozero__class_Ozero( X ) )
% 0.92/1.51 , ! c_Orderings_Oord__class_Oless( X, Y, c_Groups_Ozero__class_Ozero( X )
% 0.92/1.51 ), alpha31( X, Y, Z ) }.
% 0.92/1.51 { ! alpha1( X, Y, Z ), c_Orderings_Oord__class_Oless( X,
% 0.92/1.51 c_Groups_Ozero__class_Ozero( X ), Z ) }.
% 0.92/1.51 { ! alpha1( X, Y, Z ), c_Orderings_Oord__class_Oless( X,
% 0.92/1.51 c_Groups_Ozero__class_Ozero( X ), Y ) }.
% 0.92/1.51 { ! c_Orderings_Oord__class_Oless( X, c_Groups_Ozero__class_Ozero( X ), Z )
% 0.92/1.51 , ! c_Orderings_Oord__class_Oless( X, c_Groups_Ozero__class_Ozero( X ), Y
% 0.92/1.51 ), alpha1( X, Y, Z ) }.
% 0.92/1.51 { ! class_Fields_Olinordered__field__inverse__zero( X ), !
% 0.92/1.51 c_Orderings_Oord__class_Oless( X, c_Rings_Oinverse__class_Odivide( X, Z,
% 0.92/1.51 Y ), c_Groups_Ozero__class_Ozero( X ) ), alpha2( X, Y, Z ), alpha32( X, Y
% 0.92/1.51 , Z ) }.
% 0.92/1.51 { ! class_Fields_Olinordered__field__inverse__zero( X ), ! alpha2( X, Y, Z
% 0.92/1.51 ), c_Orderings_Oord__class_Oless( X, c_Rings_Oinverse__class_Odivide( X
% 0.92/1.51 , Z, Y ), c_Groups_Ozero__class_Ozero( X ) ) }.
% 0.92/1.51 { ! class_Fields_Olinordered__field__inverse__zero( X ), ! alpha32( X, Y, Z
% 0.92/1.51 ), c_Orderings_Oord__class_Oless( X, c_Rings_Oinverse__class_Odivide( X
% 0.92/1.51 , Z, Y ), c_Groups_Ozero__class_Ozero( X ) ) }.
% 0.92/1.51 { ! alpha32( X, Y, Z ), c_Orderings_Oord__class_Oless( X, Z,
% 0.92/1.51 c_Groups_Ozero__class_Ozero( X ) ) }.
% 0.92/1.51 { ! alpha32( X, Y, Z ), c_Orderings_Oord__class_Oless( X,
% 0.92/1.51 c_Groups_Ozero__class_Ozero( X ), Y ) }.
% 0.92/1.51 { ! c_Orderings_Oord__class_Oless( X, Z, c_Groups_Ozero__class_Ozero( X ) )
% 0.92/1.51 , ! c_Orderings_Oord__class_Oless( X, c_Groups_Ozero__class_Ozero( X ), Y
% 0.92/1.51 ), alpha32( X, Y, Z ) }.
% 0.92/1.51 { ! alpha2( X, Y, Z ), c_Orderings_Oord__class_Oless( X,
% 0.92/1.51 c_Groups_Ozero__class_Ozero( X ), Z ) }.
% 0.92/1.51 { ! alpha2( X, Y, Z ), c_Orderings_Oord__class_Oless( X, Y,
% 0.92/1.51 c_Groups_Ozero__class_Ozero( X ) ) }.
% 0.92/1.51 { ! c_Orderings_Oord__class_Oless( X, c_Groups_Ozero__class_Ozero( X ), Z )
% 0.92/1.51 , ! c_Orderings_Oord__class_Oless( X, Y, c_Groups_Ozero__class_Ozero( X )
% 0.92/1.51 ), alpha2( X, Y, Z ) }.
% 0.92/1.51 { ! class_Fields_Olinordered__field( X ), ! c_Orderings_Oord__class_Oless(
% 0.92/1.51 X, c_Groups_Ozero__class_Ozero( X ), Y ), ! c_Orderings_Oord__class_Oless
% 0.92/1.51 ( X, c_Groups_Ozero__class_Ozero( X ), Z ), c_Orderings_Oord__class_Oless
% 0.92/1.51 ( X, c_Groups_Ozero__class_Ozero( X ), c_Rings_Oinverse__class_Odivide( X
% 0.92/1.51 , Y, Z ) ) }.
% 0.92/1.51 { c_Groups_Ozero__class_Ozero( tc_Int_Oint ) =
% 0.92/1.51 c_Int_Onumber__class_Onumber__of( tc_Int_Oint, c_Int_OPls ) }.
% 0.92/1.51 { c_Groups_Ozero__class_Ozero( tc_Nat_Onat ) =
% 0.92/1.51 c_Int_Onumber__class_Onumber__of( tc_Nat_Onat, c_Int_OPls ) }.
% 0.92/1.51 { c_Int_Onumber__class_Onumber__of( tc_Nat_Onat, c_Int_OPls ) =
% 0.92/1.51 c_Groups_Ozero__class_Ozero( tc_Nat_Onat ) }.
% 0.92/1.51 { ! c_Orderings_Oord__class_Oless( tc_Int_Oint, c_Int_OPls,
% 0.92/1.51 c_Groups_Ozero__class_Ozero( tc_Int_Oint ) ) }.
% 0.92/1.51 { ! c_Orderings_Oord__class_Oless( tc_Nat_Onat, c_Groups_Ozero__class_Ozero
% 0.92/1.51 ( tc_Nat_Onat ), c_Int_Onumber__class_Onumber__of( tc_Nat_Onat, X ) ),
% 0.92/1.51 c_Orderings_Oord__class_Oless( tc_Int_Oint, c_Int_OPls, X ) }.
% 0.92/1.51 { ! c_Orderings_Oord__class_Oless( tc_Int_Oint, c_Int_OPls, X ),
% 0.92/1.51 c_Orderings_Oord__class_Oless( tc_Nat_Onat, c_Groups_Ozero__class_Ozero(
% 0.92/1.51 tc_Nat_Onat ), c_Int_Onumber__class_Onumber__of( tc_Nat_Onat, X ) ) }.
% 0.92/1.51 { c_Orderings_Oord__class_Oless( tc_Int_Oint, Y, X ), Y = X,
% 0.92/1.51 c_Orderings_Oord__class_Oless( tc_Int_Oint, X, Y ) }.
% 0.92/1.51 { ! c_Orderings_Oord__class_Oless( tc_Int_Oint, c_Int_OBit0( X ),
% 0.92/1.51 c_Groups_Ozero__class_Ozero( tc_Int_Oint ) ),
% 0.92/1.51 c_Orderings_Oord__class_Oless( tc_Int_Oint, X,
% 0.92/1.51 c_Groups_Ozero__class_Ozero( tc_Int_Oint ) ) }.
% 0.92/1.51 { ! c_Orderings_Oord__class_Oless( tc_Int_Oint, X,
% 0.92/1.51 c_Groups_Ozero__class_Ozero( tc_Int_Oint ) ),
% 0.92/1.51 c_Orderings_Oord__class_Oless( tc_Int_Oint, c_Int_OBit0( X ),
% 0.92/1.51 c_Groups_Ozero__class_Ozero( tc_Int_Oint ) ) }.
% 0.92/1.51 { ! c_Orderings_Oord__class_Oless( tc_Int_Oint, c_Int_OBit1( X ),
% 0.92/1.51 c_Groups_Ozero__class_Ozero( tc_Int_Oint ) ),
% 0.92/1.51 c_Orderings_Oord__class_Oless( tc_Int_Oint, X,
% 0.92/1.51 c_Groups_Ozero__class_Ozero( tc_Int_Oint ) ) }.
% 0.92/1.51 { ! c_Orderings_Oord__class_Oless( tc_Int_Oint, X,
% 0.92/1.51 c_Groups_Ozero__class_Ozero( tc_Int_Oint ) ),
% 0.92/1.51 c_Orderings_Oord__class_Oless( tc_Int_Oint, c_Int_OBit1( X ),
% 0.92/1.51 c_Groups_Ozero__class_Ozero( tc_Int_Oint ) ) }.
% 0.92/1.51 { ! c_Orderings_Oord__class_Oless( tc_Int_Oint,
% 0.92/1.51 c_Int_Onumber__class_Onumber__of( tc_Int_Oint, Y ),
% 0.92/1.51 c_Int_Onumber__class_Onumber__of( tc_Int_Oint, X ) ),
% 0.92/1.51 c_Orderings_Oord__class_Oless( tc_Int_Oint, Y, X ) }.
% 0.92/1.51 { ! c_Orderings_Oord__class_Oless( tc_Int_Oint, Y, X ),
% 0.92/1.51 c_Orderings_Oord__class_Oless( tc_Int_Oint,
% 0.92/1.51 c_Int_Onumber__class_Onumber__of( tc_Int_Oint, Y ),
% 0.92/1.51 c_Int_Onumber__class_Onumber__of( tc_Int_Oint, X ) ) }.
% 0.92/1.51 { ! c_Orderings_Oord__class_Oless( tc_Nat_Onat,
% 0.92/1.51 c_Int_Onumber__class_Onumber__of( tc_Nat_Onat, Y ),
% 0.92/1.51 c_Int_Onumber__class_Onumber__of( tc_Nat_Onat, X ) ), alpha3( X, Y ) }.
% 0.92/1.51 { ! c_Orderings_Oord__class_Oless( tc_Nat_Onat,
% 0.92/1.51 c_Int_Onumber__class_Onumber__of( tc_Nat_Onat, Y ),
% 0.92/1.52 c_Int_Onumber__class_Onumber__of( tc_Nat_Onat, X ) ),
% 0.92/1.52 c_Orderings_Oord__class_Oless( tc_Int_Oint, Y, X ) }.
% 0.92/1.52 { ! alpha3( X, Y ), ! c_Orderings_Oord__class_Oless( tc_Int_Oint, Y, X ),
% 0.92/1.52 c_Orderings_Oord__class_Oless( tc_Nat_Onat,
% 0.92/1.52 c_Int_Onumber__class_Onumber__of( tc_Nat_Onat, Y ),
% 0.92/1.52 c_Int_Onumber__class_Onumber__of( tc_Nat_Onat, X ) ) }.
% 0.92/1.52 { ! alpha3( X, Y ), ! c_Orderings_Oord__class_Oless( tc_Int_Oint, Y, X ),
% 0.92/1.52 c_Orderings_Oord__class_Oless( tc_Int_Oint, c_Int_OPls, X ) }.
% 0.92/1.52 { c_Orderings_Oord__class_Oless( tc_Int_Oint, Y, X ), alpha3( X, Y ) }.
% 0.92/1.52 { ! c_Orderings_Oord__class_Oless( tc_Int_Oint, c_Int_OPls, X ), alpha3( X
% 0.92/1.52 , Y ) }.
% 0.92/1.52 { ! c_Orderings_Oord__class_Oless( tc_Int_Oint, c_Int_OBit1( Y ),
% 0.92/1.52 c_Int_OBit1( X ) ), c_Orderings_Oord__class_Oless( tc_Int_Oint, Y, X ) }
% 0.92/1.52 .
% 0.92/1.52 { ! c_Orderings_Oord__class_Oless( tc_Int_Oint, Y, X ),
% 0.92/1.52 c_Orderings_Oord__class_Oless( tc_Int_Oint, c_Int_OBit1( Y ), c_Int_OBit1
% 0.92/1.52 ( X ) ) }.
% 0.92/1.52 { ! c_Orderings_Oord__class_Oless( tc_Int_Oint, c_Int_OBit1( Y ),
% 0.92/1.52 c_Int_OBit1( X ) ), c_Orderings_Oord__class_Oless( tc_Int_Oint, Y, X ) }
% 0.92/1.52 .
% 0.92/1.52 { ! c_Orderings_Oord__class_Oless( tc_Int_Oint, Y, X ),
% 0.92/1.52 c_Orderings_Oord__class_Oless( tc_Int_Oint, c_Int_OBit1( Y ), c_Int_OBit1
% 0.92/1.52 ( X ) ) }.
% 0.92/1.52 { ! c_Orderings_Oord__class_Oless( tc_Int_Oint, c_Int_OPls, c_Int_OPls ) }
% 0.92/1.52 .
% 0.92/1.52 { ! c_Orderings_Oord__class_Oless( tc_Int_Oint, c_Int_OBit0( Y ),
% 0.92/1.52 c_Int_OBit0( X ) ), c_Orderings_Oord__class_Oless( tc_Int_Oint, Y, X ) }
% 0.92/1.52 .
% 0.92/1.52 { ! c_Orderings_Oord__class_Oless( tc_Int_Oint, Y, X ),
% 0.92/1.52 c_Orderings_Oord__class_Oless( tc_Int_Oint, c_Int_OBit0( Y ), c_Int_OBit0
% 0.92/1.52 ( X ) ) }.
% 0.92/1.52 { ! c_Orderings_Oord__class_Oless( tc_Int_Oint, c_Int_OBit0( Y ),
% 0.92/1.52 c_Int_OBit0( X ) ), c_Orderings_Oord__class_Oless( tc_Int_Oint, Y, X ) }
% 0.92/1.52 .
% 0.92/1.52 { ! c_Orderings_Oord__class_Oless( tc_Int_Oint, Y, X ),
% 0.92/1.52 c_Orderings_Oord__class_Oless( tc_Int_Oint, c_Int_OBit0( Y ), c_Int_OBit0
% 0.92/1.52 ( X ) ) }.
% 0.92/1.52 { c_Int_OPls = c_Groups_Ozero__class_Ozero( tc_Int_Oint ) }.
% 0.92/1.52 { ! c_Orderings_Oord__class_Oless( tc_Int_Oint, c_Int_OBit1( X ),
% 0.92/1.52 c_Int_OPls ), c_Orderings_Oord__class_Oless( tc_Int_Oint, X, c_Int_OPls )
% 0.92/1.52 }.
% 0.92/1.52 { ! c_Orderings_Oord__class_Oless( tc_Int_Oint, X, c_Int_OPls ),
% 0.92/1.52 c_Orderings_Oord__class_Oless( tc_Int_Oint, c_Int_OBit1( X ), c_Int_OPls
% 0.92/1.52 ) }.
% 0.92/1.52 { ! c_Orderings_Oord__class_Oless( tc_Int_Oint, c_Int_OBit1( Y ),
% 0.92/1.52 c_Int_OBit0( X ) ), c_Orderings_Oord__class_Oless( tc_Int_Oint, Y, X ) }
% 0.92/1.52 .
% 0.92/1.52 { ! c_Orderings_Oord__class_Oless( tc_Int_Oint, Y, X ),
% 0.92/1.52 c_Orderings_Oord__class_Oless( tc_Int_Oint, c_Int_OBit1( Y ), c_Int_OBit0
% 0.92/1.52 ( X ) ) }.
% 0.92/1.52 { ! c_Orderings_Oord__class_Oless( tc_Int_Oint, c_Int_OBit1( Y ),
% 0.92/1.52 c_Int_OBit0( X ) ), c_Orderings_Oord__class_Oless( tc_Int_Oint, Y, X ) }
% 0.92/1.52 .
% 0.92/1.52 { ! c_Orderings_Oord__class_Oless( tc_Int_Oint, Y, X ),
% 0.92/1.52 c_Orderings_Oord__class_Oless( tc_Int_Oint, c_Int_OBit1( Y ), c_Int_OBit0
% 0.92/1.52 ( X ) ) }.
% 0.92/1.52 { ! c_Orderings_Oord__class_Oless( tc_Int_Oint, c_Int_OBit0( X ),
% 0.92/1.52 c_Int_OPls ), c_Orderings_Oord__class_Oless( tc_Int_Oint, X, c_Int_OPls )
% 0.92/1.52 }.
% 0.92/1.52 { ! c_Orderings_Oord__class_Oless( tc_Int_Oint, X, c_Int_OPls ),
% 0.92/1.52 c_Orderings_Oord__class_Oless( tc_Int_Oint, c_Int_OBit0( X ), c_Int_OPls
% 0.92/1.52 ) }.
% 0.92/1.52 { ! c_Orderings_Oord__class_Oless( tc_Int_Oint, c_Int_OPls, c_Int_OBit0( X
% 0.92/1.52 ) ), c_Orderings_Oord__class_Oless( tc_Int_Oint, c_Int_OPls, X ) }.
% 0.92/1.52 { ! c_Orderings_Oord__class_Oless( tc_Int_Oint, c_Int_OPls, X ),
% 0.92/1.52 c_Orderings_Oord__class_Oless( tc_Int_Oint, c_Int_OPls, c_Int_OBit0( X )
% 0.92/1.52 ) }.
% 0.92/1.52 { ! class_Int_Onumber__ring( X ), ! class_Int_Oring__char__0( X ), !
% 0.92/1.52 c_Int_Onumber__class_Onumber__of( X, Z ) =
% 0.92/1.52 c_Int_Onumber__class_Onumber__of( X, Y ), Z = Y }.
% 0.92/1.52 { ! class_Int_Onumber__ring( X ), ! class_Int_Oring__char__0( X ), ! Z = Y
% 0.92/1.52 , c_Int_Onumber__class_Onumber__of( X, Z ) =
% 0.92/1.52 c_Int_Onumber__class_Onumber__of( X, Y ) }.
% 0.92/1.52 { ! class_Int_Onumber( X ), ! c_Int_Onumber__class_Onumber__of( X, Z ) = Y
% 0.92/1.52 , Y = c_Int_Onumber__class_Onumber__of( X, Z ) }.
% 0.92/1.52 { ! class_Int_Onumber( X ), ! Y = c_Int_Onumber__class_Onumber__of( X, Z )
% 0.92/1.52 , c_Int_Onumber__class_Onumber__of( X, Z ) = Y }.
% 0.92/1.52 { ! c_Int_OBit1( Y ) = c_Int_OBit1( X ), Y = X }.
% 0.92/1.52 { ! Y = X, c_Int_OBit1( Y ) = c_Int_OBit1( X ) }.
% 0.92/1.52 { ! c_Int_OBit0( Y ) = c_Int_OBit0( X ), Y = X }.
% 0.92/1.52 { ! Y = X, c_Int_OBit0( Y ) = c_Int_OBit0( X ) }.
% 0.92/1.52 { ! class_Int_Onumber__ring( X ), ! class_Rings_Olinordered__idom( X ), !
% 0.92/1.52 c_Orderings_Oord__class_Oless( X, c_Int_Onumber__class_Onumber__of( X, Z
% 0.92/1.52 ), c_Int_Onumber__class_Onumber__of( X, Y ) ),
% 0.92/1.52 c_Orderings_Oord__class_Oless( tc_Int_Oint, Z, Y ) }.
% 0.92/1.52 { ! class_Int_Onumber__ring( X ), ! class_Rings_Olinordered__idom( X ), !
% 0.92/1.52 c_Orderings_Oord__class_Oless( tc_Int_Oint, Z, Y ),
% 0.92/1.52 c_Orderings_Oord__class_Oless( X, c_Int_Onumber__class_Onumber__of( X, Z
% 0.92/1.52 ), c_Int_Onumber__class_Onumber__of( X, Y ) ) }.
% 0.92/1.52 { ! c_Int_OBit1( X ) = c_Int_OPls }.
% 0.92/1.52 { ! c_Int_OPls = c_Int_OBit1( X ) }.
% 0.92/1.52 { ! c_Int_OBit1( Y ) = c_Int_OBit0( X ) }.
% 0.92/1.52 { ! c_Int_OBit0( Y ) = c_Int_OBit1( X ) }.
% 0.92/1.52 { ! c_Int_OBit0( X ) = c_Int_OPls, X = c_Int_OPls }.
% 0.92/1.52 { ! X = c_Int_OPls, c_Int_OBit0( X ) = c_Int_OPls }.
% 0.92/1.52 { ! c_Int_OPls = c_Int_OBit0( X ), c_Int_OPls = X }.
% 0.92/1.52 { ! c_Int_OPls = X, c_Int_OPls = c_Int_OBit0( X ) }.
% 0.92/1.52 { c_Int_OBit0( c_Int_OPls ) = c_Int_OPls }.
% 0.92/1.52 { ! class_Fields_Olinordered__field( X ), ! c_Orderings_Oord__class_Oless(
% 0.92/1.52 X, Z, Y ), ! c_Orderings_Oord__class_Oless( X, T,
% 0.92/1.52 c_Groups_Ozero__class_Ozero( X ) ), c_Orderings_Oord__class_Oless( X,
% 0.92/1.52 c_Rings_Oinverse__class_Odivide( X, Y, T ),
% 0.92/1.52 c_Rings_Oinverse__class_Odivide( X, Z, T ) ) }.
% 0.92/1.52 { ! class_Fields_Olinordered__field( X ), ! c_Orderings_Oord__class_Oless(
% 0.92/1.52 X, Z, Y ), ! c_Orderings_Oord__class_Oless( X,
% 0.92/1.52 c_Groups_Ozero__class_Ozero( X ), T ), c_Orderings_Oord__class_Oless( X,
% 0.92/1.52 c_Rings_Oinverse__class_Odivide( X, Z, T ),
% 0.92/1.52 c_Rings_Oinverse__class_Odivide( X, Y, T ) ) }.
% 0.92/1.52 { ! class_Fields_Olinordered__field( X ), ! c_Orderings_Oord__class_Oless(
% 0.92/1.52 X, Y, c_Groups_Ozero__class_Ozero( X ) ), ! c_Orderings_Oord__class_Oless
% 0.92/1.52 ( X, Z, c_Groups_Ozero__class_Ozero( X ) ), c_Orderings_Oord__class_Oless
% 0.92/1.52 ( X, c_Groups_Ozero__class_Ozero( X ), c_Rings_Oinverse__class_Odivide( X
% 0.92/1.52 , Y, Z ) ) }.
% 0.92/1.52 { ! class_Fields_Olinordered__field( X ), ! c_Orderings_Oord__class_Oless(
% 0.92/1.52 X, Y, c_Groups_Ozero__class_Ozero( X ) ), ! c_Orderings_Oord__class_Oless
% 0.92/1.52 ( X, c_Groups_Ozero__class_Ozero( X ), Z ), c_Orderings_Oord__class_Oless
% 0.92/1.52 ( X, c_Rings_Oinverse__class_Odivide( X, Y, Z ),
% 0.92/1.52 c_Groups_Ozero__class_Ozero( X ) ) }.
% 0.92/1.52 { ! class_Fields_Olinordered__field( X ), ! c_Orderings_Oord__class_Oless(
% 0.92/1.52 X, c_Groups_Ozero__class_Ozero( X ), Y ), ! c_Orderings_Oord__class_Oless
% 0.92/1.52 ( X, Z, c_Groups_Ozero__class_Ozero( X ) ), c_Orderings_Oord__class_Oless
% 0.92/1.52 ( X, c_Rings_Oinverse__class_Odivide( X, Y, Z ),
% 0.92/1.52 c_Groups_Ozero__class_Ozero( X ) ) }.
% 0.92/1.52 { c_Orderings_Oord__class_Oless( tc_Nat_Onat, c_Groups_Ozero__class_Ozero(
% 0.92/1.52 tc_Nat_Onat ), c_Int_Onumber__class_Onumber__of( tc_Nat_Onat, c_Int_OBit0
% 0.92/1.52 ( c_Int_OBit1( c_Int_OPls ) ) ) ) }.
% 0.92/1.52 { ! class_Orderings_Olinorder( X ), ! c_Orderings_Oord__class_Oless( X, Z,
% 0.92/1.52 Y ), c_Orderings_Oord__class_Oless( X, c_Orderings_Oord__class_Omin( X, T
% 0.92/1.52 , Z ), Y ) }.
% 0.92/1.52 { ! class_Orderings_Olinorder( X ), ! c_Orderings_Oord__class_Oless( X, Z,
% 0.92/1.52 Y ), c_Orderings_Oord__class_Oless( X, c_Orderings_Oord__class_Omin( X, Z
% 0.92/1.52 , T ), Y ) }.
% 0.92/1.52 { ! class_Orderings_Olinorder( X ), ! c_Orderings_Oord__class_Oless( X,
% 0.92/1.52 c_Orderings_Oord__class_Omin( X, T, Z ), Y ),
% 0.92/1.52 c_Orderings_Oord__class_Oless( X, T, Y ), c_Orderings_Oord__class_Oless(
% 0.92/1.52 X, Z, Y ) }.
% 0.92/1.52 { ! class_Orderings_Olinorder( X ), ! c_Orderings_Oord__class_Oless( X, T,
% 0.92/1.52 Y ), c_Orderings_Oord__class_Oless( X, c_Orderings_Oord__class_Omin( X, T
% 0.92/1.52 , Z ), Y ) }.
% 0.92/1.52 { ! class_Orderings_Olinorder( X ), ! c_Orderings_Oord__class_Oless( X, Z,
% 0.92/1.52 Y ), c_Orderings_Oord__class_Oless( X, c_Orderings_Oord__class_Omin( X, T
% 0.92/1.52 , Z ), Y ) }.
% 0.92/1.52 { ! class_Orderings_Olinorder( X ), ! c_Orderings_Oord__class_Oless( X, T,
% 0.92/1.52 c_Orderings_Oord__class_Omin( X, Z, Y ) ), c_Orderings_Oord__class_Oless
% 0.92/1.52 ( X, T, Z ) }.
% 0.92/1.52 { ! class_Orderings_Olinorder( X ), ! c_Orderings_Oord__class_Oless( X, T,
% 0.92/1.52 c_Orderings_Oord__class_Omin( X, Z, Y ) ), c_Orderings_Oord__class_Oless
% 0.92/1.52 ( X, T, Y ) }.
% 0.92/1.52 { ! class_Orderings_Olinorder( X ), ! c_Orderings_Oord__class_Oless( X, T,
% 0.92/1.52 Z ), ! c_Orderings_Oord__class_Oless( X, T, Y ),
% 0.92/1.52 c_Orderings_Oord__class_Oless( X, T, c_Orderings_Oord__class_Omin( X, Z,
% 0.92/1.52 Y ) ) }.
% 0.92/1.52 { ! class_Rings_Odivision__ring__inverse__zero( X ),
% 0.92/1.52 c_Rings_Oinverse__class_Odivide( X, Y, c_Groups_Ozero__class_Ozero( X ) )
% 0.92/1.52 = c_Groups_Ozero__class_Ozero( X ) }.
% 0.92/1.52 { ! class_RealVector_Oreal__normed__field( X ),
% 0.92/1.52 c_Rings_Oinverse__class_Odivide( X, c_Groups_Ozero__class_Ozero( X ), Y )
% 0.92/1.52 = c_Groups_Ozero__class_Ozero( X ) }.
% 0.92/1.52 { ! class_Rings_Odivision__ring( X ), c_Rings_Oinverse__class_Odivide( X,
% 0.92/1.52 c_Groups_Ozero__class_Ozero( X ), Y ) = c_Groups_Ozero__class_Ozero( X )
% 0.92/1.52 }.
% 0.92/1.52 { ! class_Fields_Olinordered__field__inverse__zero( X ), !
% 0.92/1.52 class_Int_Onumber__ring( X ), c_Orderings_Oord__class_Oless( X,
% 0.92/1.52 c_Groups_Ozero__class_Ozero( X ), c_Rings_Oinverse__class_Odivide( X,
% 0.92/1.52 c_Groups_Oone__class_Oone( X ), c_Int_Onumber__class_Onumber__of( X,
% 0.92/1.52 c_Int_OBit0( c_Int_OBit1( c_Int_OPls ) ) ) ) ) }.
% 0.92/1.52 { ! class_Int_Onumber__ring( X ), ! c_Int_Oiszero( X,
% 0.92/1.52 c_Int_Onumber__class_Onumber__of( X, c_Int_OBit1( c_Int_OPls ) ) ) }.
% 0.92/1.52 { c_Orderings_Oord__class_Oless( tc_RealDef_Oreal,
% 0.92/1.52 c_Groups_Ozero__class_Ozero( tc_RealDef_Oreal ),
% 0.92/1.52 c_Rings_Oinverse__class_Odivide( tc_RealDef_Oreal, c_Transcendental_Opi,
% 0.92/1.52 c_Int_Onumber__class_Onumber__of( tc_RealDef_Oreal, c_Int_OBit0(
% 0.92/1.52 c_Int_OBit1( c_Int_OPls ) ) ) ) ) }.
% 0.92/1.52 { ! class_Int_Onumber__ring( X ), ! class_Rings_Olinordered__idom( X ), !
% 0.92/1.52 c_Orderings_Oord__class_Oless( X, c_Int_Onumber__class_Onumber__of( X, Y
% 0.92/1.52 ), c_Groups_Oone__class_Oone( X ) ), c_Orderings_Oord__class_Oless(
% 0.92/1.52 tc_Int_Oint, Y, c_Int_OBit1( c_Int_OPls ) ) }.
% 0.92/1.52 { ! class_Int_Onumber__ring( X ), ! class_Rings_Olinordered__idom( X ), !
% 0.92/1.52 c_Orderings_Oord__class_Oless( tc_Int_Oint, Y, c_Int_OBit1( c_Int_OPls )
% 0.92/1.52 ), c_Orderings_Oord__class_Oless( X, c_Int_Onumber__class_Onumber__of( X
% 0.92/1.52 , Y ), c_Groups_Oone__class_Oone( X ) ) }.
% 0.92/1.52 { ! class_Rings_Osemiring__1( X ), ! c_Int_Oiszero( X,
% 0.92/1.52 c_Groups_Oone__class_Oone( X ) ) }.
% 0.92/1.52 { ! c_Groups_Ozero__class_Ozero( tc_Int_Oint ) = c_Groups_Oone__class_Oone
% 0.92/1.52 ( tc_Int_Oint ) }.
% 0.92/1.52 { c_Int_Onumber__class_Onumber__of( tc_Int_Oint, X ) = X }.
% 0.92/1.52 { ! class_Rings_Ozero__neq__one( X ), ! c_Groups_Oone__class_Oone( X ) =
% 0.92/1.52 c_Groups_Ozero__class_Ozero( X ) }.
% 0.92/1.52 { ! class_Rings_Ozero__neq__one( X ), ! c_Groups_Ozero__class_Ozero( X ) =
% 0.92/1.52 c_Groups_Oone__class_Oone( X ) }.
% 0.92/1.52 { ! c_Transcendental_Opi = c_Groups_Ozero__class_Ozero( tc_RealDef_Oreal )
% 0.92/1.52 }.
% 0.92/1.52 { ! class_Rings_Odivision__ring( X ), c_Rings_Oinverse__class_Odivide( X, Y
% 0.92/1.52 , c_Groups_Oone__class_Oone( X ) ) = Y }.
% 0.92/1.52 { c_Orderings_Oord__class_Oless( tc_Int_Oint, c_Groups_Ozero__class_Ozero(
% 0.92/1.52 tc_Int_Oint ), c_Groups_Oone__class_Oone( tc_Int_Oint ) ) }.
% 0.92/1.52 { ! class_Rings_Olinordered__semidom( X ), ! c_Orderings_Oord__class_Oless
% 0.92/1.52 ( X, c_Groups_Oone__class_Oone( X ), c_Groups_Ozero__class_Ozero( X ) ) }
% 0.92/1.52 .
% 0.92/1.52 { ! class_Rings_Olinordered__semidom( X ), c_Orderings_Oord__class_Oless( X
% 0.92/1.52 , c_Groups_Ozero__class_Ozero( X ), c_Groups_Oone__class_Oone( X ) ) }.
% 0.92/1.52 { ! c_Orderings_Oord__class_Oless( tc_RealDef_Oreal, c_Transcendental_Opi,
% 0.92/1.52 c_Groups_Ozero__class_Ozero( tc_RealDef_Oreal ) ) }.
% 0.92/1.52 { c_Orderings_Oord__class_Oless( tc_RealDef_Oreal,
% 0.92/1.52 c_Groups_Ozero__class_Ozero( tc_RealDef_Oreal ), c_Transcendental_Opi ) }
% 0.92/1.52 .
% 0.92/1.52 { ! class_Rings_Odivision__ring__inverse__zero( X ), ! Y =
% 0.92/1.52 c_Groups_Ozero__class_Ozero( X ), c_Rings_Oinverse__class_Odivide( X, Y,
% 0.92/1.52 Y ) = c_Groups_Ozero__class_Ozero( X ) }.
% 0.92/1.52 { ! class_Rings_Odivision__ring__inverse__zero( X ), Y =
% 0.92/1.52 c_Groups_Ozero__class_Ozero( X ), c_Rings_Oinverse__class_Odivide( X, Y,
% 0.92/1.52 Y ) = c_Groups_Oone__class_Oone( X ) }.
% 0.92/1.52 { ! class_Rings_Odivision__ring( X ), Y = c_Groups_Ozero__class_Ozero( X )
% 0.92/1.52 , c_Rings_Oinverse__class_Odivide( X, Y, Y ) = c_Groups_Oone__class_Oone
% 0.92/1.52 ( X ) }.
% 0.92/1.52 { ! class_Rings_Odivision__ring( X ), Y = c_Groups_Ozero__class_Ozero( X )
% 0.92/1.52 , ! c_Rings_Oinverse__class_Odivide( X, Z, Y ) =
% 0.92/1.52 c_Groups_Oone__class_Oone( X ), Z = Y }.
% 0.92/1.52 { ! class_Rings_Odivision__ring( X ), Y = c_Groups_Ozero__class_Ozero( X )
% 0.92/1.52 , ! Z = Y, c_Rings_Oinverse__class_Odivide( X, Z, Y ) =
% 0.92/1.52 c_Groups_Oone__class_Oone( X ) }.
% 0.92/1.52 { ! class_Rings_Osemiring__1( X ), c_Int_Oiszero( X,
% 0.92/1.52 c_Groups_Ozero__class_Ozero( X ) ) }.
% 0.92/1.52 { ! class_Rings_Osemiring__1( X ), ! c_Int_Oiszero( X, Y ), Y =
% 0.92/1.52 c_Groups_Ozero__class_Ozero( X ) }.
% 0.92/1.52 { ! class_Rings_Osemiring__1( X ), ! Y = c_Groups_Ozero__class_Ozero( X ),
% 0.92/1.52 c_Int_Oiszero( X, Y ) }.
% 0.92/1.52 { c_Groups_Oone__class_Oone( tc_Nat_Onat ) =
% 0.92/1.52 c_Int_Onumber__class_Onumber__of( tc_Nat_Onat, c_Int_OBit1( c_Int_OPls )
% 0.92/1.52 ) }.
% 0.92/1.52 { c_Int_Onumber__class_Onumber__of( tc_Nat_Onat, c_Int_OBit1( c_Int_OPls )
% 0.92/1.52 ) = c_Groups_Oone__class_Oone( tc_Nat_Onat ) }.
% 0.92/1.52 { c_Groups_Oone__class_Oone( tc_Int_Oint ) =
% 0.92/1.52 c_Int_Onumber__class_Onumber__of( tc_Int_Oint, c_Int_OBit1( c_Int_OPls )
% 0.92/1.52 ) }.
% 0.92/1.52 { ! class_Int_Onumber__ring( X ), c_Groups_Oone__class_Oone( X ) =
% 0.92/1.52 c_Int_Onumber__class_Onumber__of( X, c_Int_OBit1( c_Int_OPls ) ) }.
% 0.92/1.52 { ! class_Int_Onumber__ring( X ), c_Int_Onumber__class_Onumber__of( X,
% 0.92/1.52 c_Int_OBit1( c_Int_OPls ) ) = c_Groups_Oone__class_Oone( X ) }.
% 0.92/1.52 { ! class_Orderings_Opreorder( X ), ! c_Orderings_Oord__class_Oless( X, Y,
% 0.92/1.52 Y ) }.
% 0.92/1.52 { ! class_Orderings_Olinorder( X ), Z = Y, c_Orderings_Oord__class_Oless( X
% 0.92/1.52 , Z, Y ), c_Orderings_Oord__class_Oless( X, Y, Z ) }.
% 0.92/1.52 { ! class_Orderings_Olinorder( X ), ! c_Orderings_Oord__class_Oless( X, Z,
% 0.92/1.52 Y ), ! Z = Y }.
% 0.92/1.52 { ! class_Orderings_Olinorder( X ), ! c_Orderings_Oord__class_Oless( X, Y,
% 0.92/1.52 Z ), ! Z = Y }.
% 0.92/1.52 { ! class_Orderings_Olinorder( X ), c_Orderings_Oord__class_Oless( X, Z, Y
% 0.92/1.52 ), c_Orderings_Oord__class_Oless( X, Y, Z ), Z = Y }.
% 0.92/1.52 { ! class_Orderings_Olinorder( X ), ! c_Orderings_Oord__class_Oless( X, Y,
% 0.92/1.52 Z ), ! c_Orderings_Oord__class_Oless( X, Z, Y ) }.
% 0.92/1.52 { ! class_Orderings_Olinorder( X ), ! Z = Y, !
% 0.92/1.52 c_Orderings_Oord__class_Oless( X, Z, Y ) }.
% 0.92/1.52 { ! class_Orderings_Olinorder( X ), c_Orderings_Oord__class_Oless( X, Z, Y
% 0.92/1.52 ), Z = Y, c_Orderings_Oord__class_Oless( X, Y, Z ) }.
% 0.92/1.52 { ! class_Orderings_Olinorder( X ), c_Orderings_Oord__class_Oless( X, Z, Y
% 0.92/1.52 ), c_Orderings_Oord__class_Oless( X, Y, Z ), Y = Z }.
% 0.92/1.52 { ! class_Orderings_Olinorder( X ), c_Orderings_Oord__class_Oless( X, Z, Y
% 0.92/1.52 ), ! Y = Z, ! c_Orderings_Oord__class_Oless( X, Y, Z ) }.
% 0.92/1.52 { ! class_Orderings_Olinorder( X ), Z = Y, c_Orderings_Oord__class_Oless( X
% 0.92/1.52 , Z, Y ), c_Orderings_Oord__class_Oless( X, Y, Z ) }.
% 0.92/1.52 { ! class_Rings_Olinordered__idom( X ), Z = Y,
% 0.92/1.52 c_Orderings_Oord__class_Oless( X, Z, Y ), c_Orderings_Oord__class_Oless(
% 0.92/1.52 X, Y, Z ) }.
% 0.92/1.52 { ! class_Orderings_Oorder( X ), ! c_Orderings_Oord__class_Oless( X, Z, Y )
% 0.92/1.52 , ! Z = Y }.
% 0.92/1.52 { ! class_Orderings_Opreorder( X ), ! c_Orderings_Oord__class_Oless( X, Z,
% 0.92/1.52 Y ), ! c_Orderings_Oord__class_Oless( X, Y, Z ) }.
% 0.92/1.52 { ! class_Orderings_Opreorder( X ), ! c_Orderings_Oord__class_Oless( X, Z,
% 0.92/1.52 Y ), ! c_Orderings_Oord__class_Oless( X, Y, Z ) }.
% 0.92/1.52 { ! class_Orderings_Oorder( X ), ! c_Orderings_Oord__class_Oless( X, Z, Y )
% 0.92/1.52 , ! Z = Y }.
% 0.92/1.52 { ! class_Orderings_Oorder( X ), ! c_Orderings_Oord__class_Oless( X, Z, Y )
% 0.92/1.52 , ! Y = Z }.
% 0.92/1.52 { ! class_Orderings_Opreorder( X ), ! c_Orderings_Oord__class_Oless( X, Z,
% 0.92/1.52 Y ), ! c_Orderings_Oord__class_Oless( X, Y, Z ) }.
% 0.92/1.52 { ! class_Orderings_Oorder( X ), ! c_Orderings_Oord__class_Oless( X, Z, Y )
% 0.92/1.52 , ! c_Orderings_Oord__class_Oless( X, Y, Z ) }.
% 0.92/1.52 { ! class_Orderings_Oord( X ), ! Z = Y, ! c_Orderings_Oord__class_Oless( X
% 0.92/1.52 , Y, T ), c_Orderings_Oord__class_Oless( X, Z, T ) }.
% 0.92/1.52 { ! class_Orderings_Oorder( X ), ! Z = Y, ! c_Orderings_Oord__class_Oless(
% 0.92/1.52 X, T, Y ), c_Orderings_Oord__class_Oless( X, T, Z ) }.
% 0.92/1.52 { ! class_Orderings_Oord( X ), ! c_Orderings_Oord__class_Oless( X, Z, Y ),
% 0.92/1.52 ! Y = T, c_Orderings_Oord__class_Oless( X, Z, T ) }.
% 0.92/1.52 { ! class_Orderings_Oorder( X ), ! c_Orderings_Oord__class_Oless( X, Z, Y )
% 0.92/1.52 , ! Z = T, c_Orderings_Oord__class_Oless( X, T, Y ) }.
% 0.92/1.52 { ! class_Orderings_Opreorder( X ), ! c_Orderings_Oord__class_Oless( X, Z,
% 0.92/1.52 Y ), ! c_Orderings_Oord__class_Oless( X, Y, T ),
% 0.92/1.52 c_Orderings_Oord__class_Oless( X, Z, T ) }.
% 0.92/1.52 { ! class_Orderings_Oorder( X ), ! c_Orderings_Oord__class_Oless( X, Z, Y )
% 0.92/1.52 , ! c_Orderings_Oord__class_Oless( X, T, Z ),
% 0.92/1.52 c_Orderings_Oord__class_Oless( X, T, Y ) }.
% 0.92/1.52 { ! class_Orderings_Opreorder( X ), ! c_Orderings_Oord__class_Oless( X, Z,
% 0.92/1.52 Y ), ! c_Orderings_Oord__class_Oless( X, Y, Z ) }.
% 0.92/1.52 { ! class_Orderings_Olinorder( X ), c_Orderings_Oord__class_Oless( X, Z, Y
% 0.92/1.52 ), Z = Y, c_Orderings_Oord__class_Oless( X, Y, Z ) }.
% 0.92/1.52 { ! class_Orderings_Olinorder( X ), c_Orderings_Oord__class_Omin( X, Y, Y )
% 0.92/1.52 = Y }.
% 0.92/1.52 { ! class_Orderings_Olinorder( X ), c_Orderings_Oord__class_Omin( X, Z, Y )
% 0.92/1.52 = c_Orderings_Oord__class_Omin( X, Y, Z ) }.
% 0.92/1.52 { ! class_Orderings_Olinorder( X ), c_Orderings_Oord__class_Omin( X, Z, Y )
% 0.92/1.52 = c_Orderings_Oord__class_Omin( X, Y, Z ) }.
% 0.92/1.52 { ! class_Orderings_Olinorder( X ), c_Orderings_Oord__class_Omin( X, Z,
% 0.92/1.52 c_Orderings_Oord__class_Omin( X, Z, Y ) ) = c_Orderings_Oord__class_Omin
% 0.92/1.52 ( X, Z, Y ) }.
% 0.92/1.52 { ! class_Orderings_Olinorder( X ), c_Orderings_Oord__class_Omin( X, Z,
% 0.92/1.52 c_Orderings_Oord__class_Omin( X, Z, Y ) ) = c_Orderings_Oord__class_Omin
% 0.92/1.52 ( X, Z, Y ) }.
% 0.92/1.52 { ! class_Orderings_Olinorder( X ), c_Orderings_Oord__class_Omin( X, T,
% 0.92/1.52 c_Orderings_Oord__class_Omin( X, Z, Y ) ) = c_Orderings_Oord__class_Omin
% 0.92/1.52 ( X, Z, c_Orderings_Oord__class_Omin( X, T, Y ) ) }.
% 0.92/1.52 { ! class_Orderings_Olinorder( X ), c_Orderings_Oord__class_Omin( X, T,
% 0.92/1.52 c_Orderings_Oord__class_Omin( X, Z, Y ) ) = c_Orderings_Oord__class_Omin
% 0.92/1.52 ( X, Z, c_Orderings_Oord__class_Omin( X, T, Y ) ) }.
% 0.92/1.52 { ! class_Orderings_Olinorder( X ), c_Orderings_Oord__class_Omin( X,
% 0.92/1.52 c_Orderings_Oord__class_Omin( X, T, Z ), Y ) =
% 0.92/1.52 c_Orderings_Oord__class_Omin( X, T, c_Orderings_Oord__class_Omin( X, Z, Y
% 0.92/1.52 ) ) }.
% 0.92/1.52 { ! class_Orderings_Olinorder( X ), c_Orderings_Oord__class_Omin( X,
% 0.92/1.52 c_Orderings_Oord__class_Omin( X, T, Z ), Y ) =
% 0.92/1.52 c_Orderings_Oord__class_Omin( X, T, c_Orderings_Oord__class_Omin( X, Z, Y
% 0.92/1.52 ) ) }.
% 0.92/1.52 { ! class_Int_Onumber__ring( X ), ! class_Int_Oring__char__0( X ), !
% 0.92/1.52 c_Int_Oiszero( X, c_Int_Onumber__class_Onumber__of( X, c_Int_OBit1( Y ) )
% 0.92/1.52 ) }.
% 0.92/1.52 { ! class_Int_Onumber__ring( X ), c_Int_Oiszero( X,
% 0.92/1.52 c_Int_Onumber__class_Onumber__of( X, c_Int_OPls ) ) }.
% 0.92/1.52 { ! class_Int_Onumber__ring( X ), ! class_Int_Oring__char__0( X ), !
% 0.92/1.52 c_Int_Oiszero( X, c_Int_Onumber__class_Onumber__of( X, c_Int_OBit0( Y ) )
% 0.92/1.52 ), c_Int_Oiszero( X, c_Int_Onumber__class_Onumber__of( X, Y ) ) }.
% 0.92/1.52 { ! class_Int_Onumber__ring( X ), ! class_Int_Oring__char__0( X ), !
% 0.92/1.52 c_Int_Oiszero( X, c_Int_Onumber__class_Onumber__of( X, Y ) ),
% 0.92/1.52 c_Int_Oiszero( X, c_Int_Onumber__class_Onumber__of( X, c_Int_OBit0( Y ) )
% 0.92/1.52 ) }.
% 0.92/1.52 { c_Orderings_Oord__class_Oless( tc_RealDef_Oreal, c_Transcendental_Opi,
% 0.92/1.52 c_Int_Onumber__class_Onumber__of( tc_RealDef_Oreal, c_Int_OBit0(
% 0.92/1.52 c_Int_OBit0( c_Int_OBit1( c_Int_OPls ) ) ) ) ) }.
% 0.92/1.52 { ! c_Rings_Oinverse__class_Odivide( tc_RealDef_Oreal, c_Transcendental_Opi
% 0.92/1.52 , c_Int_Onumber__class_Onumber__of( tc_RealDef_Oreal, c_Int_OBit0(
% 0.92/1.52 c_Int_OBit1( c_Int_OPls ) ) ) ) = c_Int_Onumber__class_Onumber__of(
% 0.92/1.52 tc_RealDef_Oreal, c_Int_OBit0( c_Int_OBit1( c_Int_OPls ) ) ) }.
% 0.92/1.52 { ! c_Rings_Oinverse__class_Odivide( tc_RealDef_Oreal, c_Transcendental_Opi
% 0.92/1.52 , c_Int_Onumber__class_Onumber__of( tc_RealDef_Oreal, c_Int_OBit0(
% 0.92/1.52 c_Int_OBit1( c_Int_OPls ) ) ) ) = c_Groups_Ozero__class_Ozero(
% 0.92/1.52 tc_RealDef_Oreal ) }.
% 0.92/1.52 { c_Orderings_Oord__class_Oless( tc_RealDef_Oreal,
% 0.92/1.52 c_Rings_Oinverse__class_Odivide( tc_RealDef_Oreal, c_Transcendental_Opi,
% 0.92/1.52 c_Int_Onumber__class_Onumber__of( tc_RealDef_Oreal, c_Int_OBit0(
% 0.92/1.52 c_Int_OBit1( c_Int_OPls ) ) ) ), c_Int_Onumber__class_Onumber__of(
% 0.92/1.52 tc_RealDef_Oreal, c_Int_OBit0( c_Int_OBit1( c_Int_OPls ) ) ) ) }.
% 0.92/1.52 { ! class_Int_Onumber__ring( X ), ! class_Rings_Olinordered__idom( X ), !
% 0.92/1.52 c_Orderings_Oord__class_Oless( X, c_Groups_Oone__class_Oone( X ),
% 0.92/1.52 c_Int_Onumber__class_Onumber__of( X, Y ) ), c_Orderings_Oord__class_Oless
% 0.92/1.52 ( tc_Int_Oint, c_Int_OBit1( c_Int_OPls ), Y ) }.
% 0.92/1.52 { ! class_Int_Onumber__ring( X ), ! class_Rings_Olinordered__idom( X ), !
% 0.92/1.52 c_Orderings_Oord__class_Oless( tc_Int_Oint, c_Int_OBit1( c_Int_OPls ), Y
% 0.92/1.52 ), c_Orderings_Oord__class_Oless( X, c_Groups_Oone__class_Oone( X ),
% 0.92/1.52 c_Int_Onumber__class_Onumber__of( X, Y ) ) }.
% 0.92/1.52 { ! c_Orderings_Oord__class_Oless( tc_Nat_Onat, X,
% 0.92/1.52 c_Groups_Ozero__class_Ozero( tc_Nat_Onat ) ) }.
% 0.92/1.52 { c_Orderings_Oord__class_Oless( tc_RealDef_Oreal, c_Transcendental_Oarctan
% 0.92/1.52 ( X ), c_Rings_Oinverse__class_Odivide( tc_RealDef_Oreal,
% 0.92/1.52 c_Transcendental_Opi, c_Int_Onumber__class_Onumber__of( tc_RealDef_Oreal
% 0.92/1.52 , c_Int_OBit0( c_Int_OBit1( c_Int_OPls ) ) ) ) ) }.
% 0.92/1.52 { ! c_Orderings_Oord__class_Oless( tc_RealDef_Oreal,
% 0.92/1.52 c_Groups_Ozero__class_Ozero( tc_RealDef_Oreal ), X ), !
% 0.92/1.52 c_Orderings_Oord__class_Oless( tc_RealDef_Oreal, X,
% 0.92/1.52 c_Rings_Oinverse__class_Odivide( tc_RealDef_Oreal, c_Transcendental_Opi,
% 0.92/1.52 c_Int_Onumber__class_Onumber__of( tc_RealDef_Oreal, c_Int_OBit0(
% 0.92/1.52 c_Int_OBit1( c_Int_OPls ) ) ) ) ), c_Orderings_Oord__class_Oless(
% 0.92/1.52 tc_RealDef_Oreal, c_Groups_Ozero__class_Ozero( tc_RealDef_Oreal ),
% 0.92/1.52 c_Transcendental_Otan( X ) ) }.
% 0.92/1.52 { c_Orderings_Oord__class_Oless( tc_RealDef_Oreal,
% 0.92/1.52 c_Groups_Ouminus__class_Ouminus( tc_RealDef_Oreal,
% 0.92/1.52 c_Rings_Oinverse__class_Odivide( tc_RealDef_Oreal, c_Transcendental_Opi,
% 0.92/1.52 c_Int_Onumber__class_Onumber__of( tc_RealDef_Oreal, c_Int_OBit0(
% 0.92/1.52 c_Int_OBit1( c_Int_OPls ) ) ) ) ), c_Groups_Ozero__class_Ozero(
% 0.92/1.52 tc_RealDef_Oreal ) ) }.
% 0.92/1.52 { ! c_Orderings_Oord__class_Oless( tc_RealDef_Oreal,
% 0.92/1.52 c_Groups_Ozero__class_Ozero( tc_RealDef_Oreal ), X ), !
% 0.92/1.52 c_Orderings_Oord__class_Oless( tc_RealDef_Oreal, X,
% 0.92/1.52 c_Rings_Oinverse__class_Odivide( tc_RealDef_Oreal, c_Transcendental_Opi,
% 0.92/1.52 c_Int_Onumber__class_Onumber__of( tc_RealDef_Oreal, c_Int_OBit0(
% 0.92/1.52 c_Int_OBit1( c_Int_OPls ) ) ) ) ), c_Orderings_Oord__class_Oless(
% 0.92/1.52 tc_RealDef_Oreal, c_Groups_Ozero__class_Ozero( tc_RealDef_Oreal ),
% 0.92/1.52 c_Transcendental_Ocos( X ) ) }.
% 0.92/1.52 { ! c_Orderings_Oord__class_Oless( tc_RealDef_Oreal,
% 0.92/1.52 c_Groups_Ozero__class_Ozero( tc_RealDef_Oreal ), X ), !
% 0.92/1.52 c_Orderings_Oord__class_Oless( tc_RealDef_Oreal, X,
% 0.92/1.52 c_Rings_Oinverse__class_Odivide( tc_RealDef_Oreal, c_Transcendental_Opi,
% 0.92/1.52 c_Int_Onumber__class_Onumber__of( tc_RealDef_Oreal, c_Int_OBit0(
% 0.92/1.52 c_Int_OBit1( c_Int_OPls ) ) ) ) ), c_Orderings_Oord__class_Oless(
% 0.92/1.52 tc_RealDef_Oreal, c_Groups_Ozero__class_Ozero( tc_RealDef_Oreal ),
% 0.92/1.52 c_Transcendental_Osin( X ) ) }.
% 0.92/1.52 { c_Transcendental_Oarctan( c_Groups_Oone__class_Oone( tc_RealDef_Oreal ) )
% 0.92/1.52 = c_Rings_Oinverse__class_Odivide( tc_RealDef_Oreal,
% 0.92/1.52 c_Transcendental_Opi, c_Int_Onumber__class_Onumber__of( tc_RealDef_Oreal
% 0.92/1.52 , c_Int_OBit0( c_Int_OBit0( c_Int_OBit1( c_Int_OPls ) ) ) ) ) }.
% 0.92/1.52 { c_Orderings_Oord__class_Oless__eq( tc_RealDef_Oreal,
% 0.92/1.52 c_Groups_Ozero__class_Ozero( tc_RealDef_Oreal ),
% 0.92/1.52 c_Rings_Oinverse__class_Odivide( tc_RealDef_Oreal, c_Transcendental_Opi,
% 0.92/1.52 c_Int_Onumber__class_Onumber__of( tc_RealDef_Oreal, c_Int_OBit0(
% 0.92/1.52 c_Int_OBit1( c_Int_OPls ) ) ) ) ) }.
% 0.92/1.52 { c_Groups_Oone__class_Oone( tc_Code__Numeral_Ocode__numeral ) =
% 0.92/1.52 c_Int_Onumber__class_Onumber__of( tc_Code__Numeral_Ocode__numeral,
% 0.92/1.52 c_Int_OBit1( c_Int_OPls ) ) }.
% 0.92/1.52 { ! c_Orderings_Oord__class_Oless( tc_Nat_Onat, X,
% 0.92/1.52 c_Groups_Ozero__class_Ozero( tc_Nat_Onat ) ) }.
% 0.92/1.52 { ! class_Orderings_Opreorder( X ), c_Orderings_Oord__class_Oless__eq( X, Y
% 0.92/1.52 , Y ) }.
% 0.92/1.52 { c_Transcendental_Otan( X ) = c_Rings_Oinverse__class_Odivide(
% 0.92/1.52 tc_RealDef_Oreal, c_Transcendental_Osin( X ), c_Transcendental_Ocos( X )
% 0.92/1.52 ) }.
% 0.92/1.52 { ! c_Transcendental_Ocos( X ) = c_Groups_Oone__class_Oone(
% 0.92/1.52 tc_RealDef_Oreal ), c_Transcendental_Osin( X ) =
% 0.92/1.52 c_Groups_Ozero__class_Ozero( tc_RealDef_Oreal ) }.
% 0.92/1.52 { ! class_Orderings_Olinorder( X ), c_Orderings_Oord__class_Oless__eq( X, Z
% 0.92/1.52 , Y ), c_Orderings_Oord__class_Oless__eq( X, Y, Z ) }.
% 0.92/1.52 { ! class_Orderings_Oord( X ), ! c_Orderings_Oord__class_Oless__eq( tc_fun
% 0.92/1.52 ( T, X ), Z, Y ), c_Orderings_Oord__class_Oless__eq( X, hAPP( Z, U ),
% 0.92/1.52 hAPP( Y, U ) ) }.
% 0.92/1.52 { ! class_Orderings_Oorder( X ), ! c_Orderings_Oord__class_Oless__eq( X, Z
% 0.92/1.52 , Y ), ! c_Orderings_Oord__class_Oless__eq( X, T, Z ),
% 0.92/1.52 c_Orderings_Oord__class_Oless__eq( X, T, Y ) }.
% 0.92/1.52 { ! class_Orderings_Oorder( X ), ! c_Orderings_Oord__class_Oless__eq( X, Z
% 0.92/1.52 , Y ), ! c_Orderings_Oord__class_Oless__eq( X, Y, Z ), Y = Z }.
% 0.92/1.52 { ! class_Orderings_Opreorder( X ), ! c_Orderings_Oord__class_Oless__eq( X
% 0.92/1.52 , Z, Y ), ! c_Orderings_Oord__class_Oless__eq( X, Y, T ),
% 0.92/1.52 c_Orderings_Oord__class_Oless__eq( X, Z, T ) }.
% 0.92/1.52 { ! class_Orderings_Oorder( X ), ! c_Orderings_Oord__class_Oless__eq( X, Z
% 0.92/1.52 , Y ), ! c_Orderings_Oord__class_Oless__eq( X, Y, Z ), Z = Y }.
% 0.92/1.52 { ! class_Orderings_Oorder( X ), ! c_Orderings_Oord__class_Oless__eq( X, Z
% 0.92/1.52 , Y ), ! Z = T, c_Orderings_Oord__class_Oless__eq( X, T, Y ) }.
% 0.92/1.52 { ! class_Orderings_Oord( X ), ! c_Orderings_Oord__class_Oless__eq( X, Z, Y
% 0.92/1.52 ), ! Y = T, c_Orderings_Oord__class_Oless__eq( X, Z, T ) }.
% 0.92/1.52 { ! class_Orderings_Oorder( X ), ! Z = Y, !
% 0.92/1.52 c_Orderings_Oord__class_Oless__eq( X, T, Y ),
% 0.92/1.52 c_Orderings_Oord__class_Oless__eq( X, T, Z ) }.
% 0.92/1.52 { ! class_Orderings_Oord( X ), ! Z = Y, ! c_Orderings_Oord__class_Oless__eq
% 0.92/1.52 ( X, Y, T ), c_Orderings_Oord__class_Oless__eq( X, Z, T ) }.
% 0.92/1.52 { ! class_Orderings_Oorder( X ), ! c_Orderings_Oord__class_Oless__eq( X, Z
% 0.92/1.52 , Y ), ! c_Orderings_Oord__class_Oless__eq( X, Y, Z ), Y = Z }.
% 0.92/1.52 { ! class_Orderings_Oorder( X ), ! c_Orderings_Oord__class_Oless__eq( X, Z
% 0.92/1.52 , Y ), ! Y = Z, c_Orderings_Oord__class_Oless__eq( X, Y, Z ) }.
% 0.92/1.52 { ! class_Orderings_Oord( X ), ! c_Orderings_Oord__class_Oless__eq( tc_fun
% 0.92/1.52 ( T, X ), Z, Y ), c_Orderings_Oord__class_Oless__eq( X, hAPP( Z, U ),
% 0.92/1.52 hAPP( Y, U ) ) }.
% 0.92/1.52 { ! class_Lattices_Oboolean__algebra( X ), !
% 0.92/1.52 c_Orderings_Oord__class_Oless__eq( X, Z, Y ),
% 0.92/1.52 c_Orderings_Oord__class_Oless__eq( X, c_Groups_Ouminus__class_Ouminus( X
% 0.92/1.52 , Y ), c_Groups_Ouminus__class_Ouminus( X, Z ) ) }.
% 0.92/1.52 { ! c_Orderings_Oord__class_Oless__eq( tc_RealDef_Oreal, Y, X ),
% 0.92/1.52 c_Orderings_Oord__class_Oless__eq( tc_RealDef_Oreal,
% 0.92/1.52 c_Transcendental_Oarctan( Y ), c_Transcendental_Oarctan( X ) ) }.
% 0.92/1.52 { ! class_Orderings_Opreorder( X ), ! Z = Y,
% 0.92/1.52 c_Orderings_Oord__class_Oless__eq( X, Z, Y ) }.
% 0.92/1.52 { ! class_Lattices_Oboolean__algebra( X ), !
% 0.92/1.52 c_Orderings_Oord__class_Oless__eq( X, c_Groups_Ouminus__class_Ouminus( X
% 0.92/1.52 , Z ), c_Groups_Ouminus__class_Ouminus( X, Y ) ),
% 0.92/1.52 c_Orderings_Oord__class_Oless__eq( X, Y, Z ) }.
% 0.92/1.52 { ! class_Lattices_Oboolean__algebra( X ), !
% 0.92/1.52 c_Orderings_Oord__class_Oless__eq( X, Y, Z ),
% 0.92/1.52 c_Orderings_Oord__class_Oless__eq( X, c_Groups_Ouminus__class_Ouminus( X
% 0.92/1.52 , Z ), c_Groups_Ouminus__class_Ouminus( X, Y ) ) }.
% 0.92/1.52 { ! class_Lattices_Oboolean__algebra( X ), !
% 0.92/1.52 c_Groups_Ouminus__class_Ouminus( X, Z ) = c_Groups_Ouminus__class_Ouminus
% 0.92/1.52 ( X, Y ), Z = Y }.
% 0.92/1.52 { ! class_Lattices_Oboolean__algebra( X ), ! Z = Y,
% 0.92/1.52 c_Groups_Ouminus__class_Ouminus( X, Z ) = c_Groups_Ouminus__class_Ouminus
% 0.92/1.52 ( X, Y ) }.
% 0.92/1.52 { ! class_Orderings_Oorder( X ), ! Z = Y, c_Orderings_Oord__class_Oless__eq
% 0.92/1.52 ( X, Z, Y ) }.
% 0.92/1.52 { ! class_Orderings_Oorder( X ), ! Z = Y, c_Orderings_Oord__class_Oless__eq
% 0.92/1.52 ( X, Y, Z ) }.
% 0.92/1.52 { ! class_Orderings_Oorder( X ), ! c_Orderings_Oord__class_Oless__eq( X, Z
% 0.92/1.52 , Y ), ! c_Orderings_Oord__class_Oless__eq( X, Y, Z ), Z = Y }.
% 0.92/1.52 { ! class_Orderings_Olinorder( X ), c_Orderings_Oord__class_Oless__eq( X, Z
% 0.92/1.52 , Y ), c_Orderings_Oord__class_Oless__eq( X, Y, Z ) }.
% 0.92/1.52 { ! class_Groups_Ouminus( X ), hAPP( c_Groups_Ouminus__class_Ouminus(
% 0.92/1.52 tc_fun( T, X ), Z ), Y ) = c_Groups_Ouminus__class_Ouminus( X, hAPP( Z, Y
% 0.92/1.52 ) ) }.
% 0.92/1.52 { ! class_Orderings_Oord( X ), ! c_Orderings_Oord__class_Oless__eq( tc_fun
% 0.92/1.52 ( T, X ), Z, Y ), c_Orderings_Oord__class_Oless__eq( X, hAPP( Z, U ),
% 0.92/1.52 hAPP( Y, U ) ) }.
% 0.92/1.52 { ! class_Orderings_Oord( X ), ! c_Orderings_Oord__class_Oless__eq( X, hAPP
% 0.92/1.52 ( Z, skol2( X, Y, Z ) ), hAPP( Y, skol2( X, Y, Z ) ) ),
% 0.92/1.52 c_Orderings_Oord__class_Oless__eq( tc_fun( T, X ), Z, Y ) }.
% 0.92/1.52 { c_Transcendental_Oarctan( c_Groups_Ouminus__class_Ouminus(
% 0.92/1.52 tc_RealDef_Oreal, X ) ) = c_Groups_Ouminus__class_Ouminus(
% 0.92/1.52 tc_RealDef_Oreal, c_Transcendental_Oarctan( X ) ) }.
% 0.92/1.52 { c_Transcendental_Otan( c_Groups_Ouminus__class_Ouminus( tc_RealDef_Oreal
% 0.92/1.52 , X ) ) = c_Groups_Ouminus__class_Ouminus( tc_RealDef_Oreal,
% 0.92/1.52 c_Transcendental_Otan( X ) ) }.
% 0.92/1.52 { c_Transcendental_Osin( c_Groups_Ouminus__class_Ouminus( tc_RealDef_Oreal
% 0.92/1.52 , X ) ) = c_Groups_Ouminus__class_Ouminus( tc_RealDef_Oreal,
% 0.92/1.52 c_Transcendental_Osin( X ) ) }.
% 0.92/1.52 { c_Transcendental_Ocos( c_Groups_Ouminus__class_Ouminus( tc_RealDef_Oreal
% 0.92/1.52 , X ) ) = c_Transcendental_Ocos( X ) }.
% 0.92/1.52 { ! class_Lattices_Oboolean__algebra( X ), c_Groups_Ouminus__class_Ouminus
% 0.92/1.52 ( X, c_Groups_Ouminus__class_Ouminus( X, Y ) ) = Y }.
% 0.92/1.52 { c_Transcendental_Otan( c_Transcendental_Oarctan( X ) ) = X }.
% 0.92/1.52 { c_Orderings_Oord__class_Oless__eq( tc_RealDef_Oreal,
% 0.92/1.52 c_Transcendental_Osin( X ), c_Groups_Oone__class_Oone( tc_RealDef_Oreal )
% 0.92/1.52 ) }.
% 0.92/1.52 { c_Orderings_Oord__class_Oless__eq( tc_RealDef_Oreal,
% 0.92/1.52 c_Transcendental_Ocos( X ), c_Groups_Oone__class_Oone( tc_RealDef_Oreal )
% 0.92/1.52 ) }.
% 0.92/1.52 { ! class_Int_Onumber__ring( X ), c_Int_Onumber__class_Onumber__of( X,
% 0.92/1.52 c_Groups_Ouminus__class_Ouminus( tc_Int_Oint, Y ) ) =
% 0.92/1.52 c_Groups_Ouminus__class_Ouminus( X, c_Int_Onumber__class_Onumber__of( X,
% 0.92/1.52 Y ) ) }.
% 0.92/1.52 { ! class_Int_Onumber__ring( X ), c_Groups_Ouminus__class_Ouminus( X,
% 0.92/1.52 c_Int_Onumber__class_Onumber__of( X, Y ) ) =
% 0.92/1.52 c_Int_Onumber__class_Onumber__of( X, c_Groups_Ouminus__class_Ouminus(
% 0.92/1.52 tc_Int_Oint, Y ) ) }.
% 0.92/1.52 { ! class_Int_Onumber__ring( X ), ! class_Rings_Olinordered__idom( X ), !
% 0.92/1.52 c_Orderings_Oord__class_Oless__eq( X, c_Int_Onumber__class_Onumber__of( X
% 0.92/1.52 , Z ), c_Int_Onumber__class_Onumber__of( X, Y ) ),
% 0.92/1.52 c_Orderings_Oord__class_Oless__eq( tc_Int_Oint, Z, Y ) }.
% 0.92/1.52 { ! class_Int_Onumber__ring( X ), ! class_Rings_Olinordered__idom( X ), !
% 0.92/1.52 c_Orderings_Oord__class_Oless__eq( tc_Int_Oint, Z, Y ),
% 0.92/1.52 c_Orderings_Oord__class_Oless__eq( X, c_Int_Onumber__class_Onumber__of( X
% 0.92/1.52 , Z ), c_Int_Onumber__class_Onumber__of( X, Y ) ) }.
% 0.92/1.52 { ! c_Transcendental_Ocos( c_Transcendental_Oarctan( X ) ) =
% 0.92/1.52 c_Groups_Ozero__class_Ozero( tc_RealDef_Oreal ) }.
% 0.92/1.52 { ! c_Orderings_Oord__class_Oless__eq( tc_RealDef_Oreal,
% 0.92/1.52 c_Groups_Ouminus__class_Ouminus( tc_RealDef_Oreal, c_Transcendental_Opi )
% 0.92/1.52 , X ), ! c_Orderings_Oord__class_Oless__eq( tc_RealDef_Oreal, X, Y ), !
% 0.92/1.52 c_Orderings_Oord__class_Oless__eq( tc_RealDef_Oreal, Y,
% 0.92/1.52 c_Groups_Ozero__class_Ozero( tc_RealDef_Oreal ) ),
% 0.92/1.52 c_Orderings_Oord__class_Oless__eq( tc_RealDef_Oreal,
% 0.92/1.52 c_Transcendental_Ocos( X ), c_Transcendental_Ocos( Y ) ) }.
% 0.92/1.52 { ! c_Orderings_Oord__class_Oless__eq( tc_RealDef_Oreal,
% 0.92/1.52 c_Groups_Ouminus__class_Ouminus( tc_RealDef_Oreal, c_Transcendental_Opi )
% 0.92/1.52 , X ), ! c_Orderings_Oord__class_Oless( tc_RealDef_Oreal, X, Y ), !
% 0.92/1.52 c_Orderings_Oord__class_Oless__eq( tc_RealDef_Oreal, Y,
% 0.92/1.52 c_Groups_Ozero__class_Ozero( tc_RealDef_Oreal ) ),
% 0.92/1.52 c_Orderings_Oord__class_Oless( tc_RealDef_Oreal, c_Transcendental_Ocos( X
% 0.92/1.52 ), c_Transcendental_Ocos( Y ) ) }.
% 0.92/1.52 { ! c_Orderings_Oord__class_Oless__eq( tc_RealDef_Oreal,
% 0.92/1.52 c_Groups_Ozero__class_Ozero( tc_RealDef_Oreal ), X ), !
% 0.92/1.52 c_Orderings_Oord__class_Oless__eq( tc_RealDef_Oreal, X,
% 0.92/1.52 c_Transcendental_Opi ), c_Orderings_Oord__class_Oless__eq(
% 0.92/1.52 tc_RealDef_Oreal, c_Groups_Ozero__class_Ozero( tc_RealDef_Oreal ),
% 0.92/1.52 c_Transcendental_Osin( X ) ) }.
% 0.92/1.52 { ! c_Orderings_Oord__class_Oless__eq( tc_RealDef_Oreal,
% 0.92/1.52 c_Groups_Ozero__class_Ozero( tc_RealDef_Oreal ), X ), !
% 0.92/1.52 c_Orderings_Oord__class_Oless__eq( tc_RealDef_Oreal, X, Y ), !
% 0.92/1.52 c_Orderings_Oord__class_Oless__eq( tc_RealDef_Oreal, Y,
% 0.92/1.52 c_Transcendental_Opi ), c_Orderings_Oord__class_Oless__eq(
% 0.92/1.52 tc_RealDef_Oreal, c_Transcendental_Ocos( Y ), c_Transcendental_Ocos( X )
% 0.92/1.52 ) }.
% 0.92/1.52 { c_Transcendental_Osin( c_Groups_Ozero__class_Ozero( tc_RealDef_Oreal ) )
% 0.92/1.52 = c_Groups_Ozero__class_Ozero( tc_RealDef_Oreal ) }.
% 0.92/1.52 { c_Transcendental_Ocos( c_Groups_Ozero__class_Ozero( tc_RealDef_Oreal ) )
% 0.92/1.52 = c_Groups_Oone__class_Oone( tc_RealDef_Oreal ) }.
% 0.92/1.52 { ! class_Fields_Ofield__inverse__zero( X ),
% 0.92/1.52 c_Rings_Oinverse__class_Odivide( X, c_Groups_Ouminus__class_Ouminus( X, Z
% 0.92/1.52 ), c_Groups_Ouminus__class_Ouminus( X, Y ) ) =
% 0.92/1.52 c_Rings_Oinverse__class_Odivide( X, Z, Y ) }.
% 0.92/1.52 { ! class_Fields_Ofield__inverse__zero( X ),
% 0.92/1.52 c_Groups_Ouminus__class_Ouminus( X, c_Rings_Oinverse__class_Odivide( X, Z
% 0.92/1.52 , Y ) ) = c_Rings_Oinverse__class_Odivide( X, Z,
% 0.92/1.52 c_Groups_Ouminus__class_Ouminus( X, Y ) ) }.
% 0.92/1.52 { ! class_RealVector_Oreal__normed__field( X ),
% 0.92/1.52 c_Rings_Oinverse__class_Odivide( X, c_Groups_Ouminus__class_Ouminus( X, Z
% 0.92/1.52 ), Y ) = c_Groups_Ouminus__class_Ouminus( X,
% 0.92/1.52 c_Rings_Oinverse__class_Odivide( X, Z, Y ) ) }.
% 0.92/1.52 { ! class_Rings_Odivision__ring( X ), c_Groups_Ouminus__class_Ouminus( X,
% 0.92/1.52 c_Rings_Oinverse__class_Odivide( X, Z, Y ) ) =
% 0.92/1.52 c_Rings_Oinverse__class_Odivide( X, c_Groups_Ouminus__class_Ouminus( X, Z
% 0.92/1.52 ), Y ) }.
% 0.92/1.52 { ! class_Orderings_Oorder( X ), ! c_Orderings_Oord__class_Oless__eq( X, Z
% 0.92/1.52 , Y ), ! c_Orderings_Oord__class_Oless( X, T, Z ),
% 0.92/1.52 c_Orderings_Oord__class_Oless( X, T, Y ) }.
% 0.92/1.52 { ! class_Orderings_Opreorder( X ), ! c_Orderings_Oord__class_Oless__eq( X
% 0.92/1.52 , Z, Y ), ! c_Orderings_Oord__class_Oless( X, Y, T ),
% 0.92/1.52 c_Orderings_Oord__class_Oless( X, Z, T ) }.
% 0.92/1.52 { ! class_Orderings_Oorder( X ), ! c_Orderings_Oord__class_Oless( X, Z, Y )
% 0.92/1.52 , ! c_Orderings_Oord__class_Oless__eq( X, T, Z ),
% 0.92/1.52 c_Orderings_Oord__class_Oless( X, T, Y ) }.
% 0.92/1.52 { ! class_Orderings_Opreorder( X ), ! c_Orderings_Oord__class_Oless( X, Z,
% 0.92/1.52 Y ), ! c_Orderings_Oord__class_Oless__eq( X, Y, T ),
% 0.92/1.52 c_Orderings_Oord__class_Oless( X, Z, T ) }.
% 0.92/1.52 { ! class_Orderings_Oorder( X ), ! c_Orderings_Oord__class_Oless__eq( X, Z
% 0.92/1.52 , Y ), Y = Z, c_Orderings_Oord__class_Oless( X, Z, Y ) }.
% 0.92/1.52 { ! class_Orderings_Oorder( X ), ! c_Orderings_Oord__class_Oless__eq( X, Z
% 0.92/1.52 , Y ), Z = Y, c_Orderings_Oord__class_Oless( X, Z, Y ) }.
% 0.92/1.52 { ! class_Orderings_Oorder( X ), ! c_Orderings_Oord__class_Oless__eq( X, Z
% 0.92/1.52 , Y ), c_Orderings_Oord__class_Oless( X, Z, Y ), Z = Y }.
% 0.92/1.52 { ! class_Orderings_Olinorder( X ), ! c_Orderings_Oord__class_Oless__eq( X
% 0.92/1.52 , Z, Y ), c_Orderings_Oord__class_Oless( X, Z, Y ), Z = Y }.
% 0.92/1.52 { ! class_Orderings_Olinorder( X ), ! c_Orderings_Oord__class_Oless__eq( X
% 0.92/1.52 , Z, Y ), ! Z = Y, ! c_Orderings_Oord__class_Oless( X, Z, Y ) }.
% 0.92/1.52 { ! class_Orderings_Opreorder( X ), ! c_Orderings_Oord__class_Oless( X, Z,
% 0.92/1.52 Y ), c_Orderings_Oord__class_Oless__eq( X, Z, Y ) }.
% 0.92/1.52 { ! class_Orderings_Olinorder( X ), ! c_Orderings_Oord__class_Oless__eq( X
% 0.92/1.52 , Z, Y ), ! c_Orderings_Oord__class_Oless( X, Y, Z ) }.
% 0.92/1.52 { ! class_Orderings_Oorder( X ), Z = Y, ! c_Orderings_Oord__class_Oless__eq
% 0.92/1.52 ( X, Y, Z ), c_Orderings_Oord__class_Oless( X, Y, Z ) }.
% 0.92/1.52 { ! class_Orderings_Oorder( X ), Z = Y, ! c_Orderings_Oord__class_Oless__eq
% 0.92/1.52 ( X, Z, Y ), c_Orderings_Oord__class_Oless( X, Z, Y ) }.
% 0.92/1.52 { ! class_Orderings_Olinorder( X ), c_Orderings_Oord__class_Oless( X, Z, Y
% 0.92/1.52 ), ! c_Orderings_Oord__class_Oless__eq( X, Z, Y ), Z = Y }.
% 0.92/1.52 { ! class_Orderings_Olinorder( X ), c_Orderings_Oord__class_Oless( X, Z, Y
% 0.92/1.52 ), ! Z = Y, c_Orderings_Oord__class_Oless__eq( X, Z, Y ) }.
% 0.92/1.52 { ! class_Orderings_Olinorder( X ), c_Orderings_Oord__class_Oless__eq( X, Z
% 0.92/1.52 , Y ), c_Orderings_Oord__class_Oless( X, Y, Z ) }.
% 0.92/1.52 { ! class_Orderings_Olinorder( X ), c_Orderings_Oord__class_Oless( X, Z, Y
% 0.92/1.52 ), c_Orderings_Oord__class_Oless__eq( X, Y, Z ) }.
% 0.92/1.52 { ! class_Orderings_Oorder( X ), ! c_Orderings_Oord__class_Oless__eq( X, Z
% 0.92/1.52 , Y ), c_Orderings_Oord__class_Oless( X, Z, Y ), Z = Y }.
% 0.92/1.52 { ! class_Orderings_Oorder( X ), ! c_Orderings_Oord__class_Oless( X, Z, Y )
% 0.92/1.52 , c_Orderings_Oord__class_Oless__eq( X, Z, Y ) }.
% 0.92/1.52 { ! class_Orderings_Oorder( X ), ! Z = Y, c_Orderings_Oord__class_Oless__eq
% 0.92/1.52 ( X, Z, Y ) }.
% 0.92/1.52 { ! class_Orderings_Opreorder( X ), ! c_Orderings_Oord__class_Oless( X, Z,
% 0.92/1.52 Y ), c_Orderings_Oord__class_Oless__eq( X, Z, Y ) }.
% 0.92/1.52 { ! class_Orderings_Opreorder( X ), ! c_Orderings_Oord__class_Oless( X, Z,
% 0.92/1.52 Y ), ! c_Orderings_Oord__class_Oless__eq( X, Y, Z ) }.
% 0.92/1.52 { ! class_Orderings_Opreorder( X ), ! c_Orderings_Oord__class_Oless__eq( X
% 0.92/1.52 , Z, Y ), c_Orderings_Oord__class_Oless__eq( X, Y, Z ),
% 0.92/1.52 c_Orderings_Oord__class_Oless( X, Z, Y ) }.
% 0.92/1.52 { ! class_Orderings_Oorder( X ), ! c_Orderings_Oord__class_Oless( X, Z, Y )
% 0.92/1.52 , c_Orderings_Oord__class_Oless__eq( X, Z, Y ) }.
% 0.92/1.52 { ! class_Orderings_Oorder( X ), ! c_Orderings_Oord__class_Oless( X, Z, Y )
% 0.92/1.52 , ! Z = Y }.
% 0.92/1.52 { ! class_Orderings_Oorder( X ), ! c_Orderings_Oord__class_Oless__eq( X, Z
% 0.92/1.52 , Y ), Z = Y, c_Orderings_Oord__class_Oless( X, Z, Y ) }.
% 0.92/1.52 { ! class_Orderings_Olinorder( X ), c_Orderings_Oord__class_Oless__eq( X, Z
% 0.92/1.52 , Y ), c_Orderings_Oord__class_Oless( X, Y, Z ) }.
% 0.92/1.52 { ! class_Orderings_Olinorder( X ), c_Orderings_Oord__class_Oless__eq( X, Z
% 0.92/1.52 , Y ), c_Orderings_Oord__class_Oless( X, Y, Z ) }.
% 0.92/1.52 { ! class_Orderings_Olinorder( X ), ! c_Orderings_Oord__class_Oless( X, Y,
% 0.92/1.52 Z ), ! c_Orderings_Oord__class_Oless__eq( X, Z, Y ) }.
% 0.92/1.52 { ! class_Orderings_Olinorder( X ), c_Orderings_Oord__class_Oless( X, Z, Y
% 0.92/1.52 ), c_Orderings_Oord__class_Oless__eq( X, Y, Z ) }.
% 0.92/1.52 { ! class_Orderings_Olinorder( X ), ! c_Orderings_Oord__class_Oless__eq( X
% 0.92/1.52 , Y, Z ), ! c_Orderings_Oord__class_Oless( X, Z, Y ) }.
% 0.92/1.52 { ! class_Orderings_Olinorder( X ), ! c_Orderings_Oord__class_Oless__eq( X
% 0.92/1.52 , T, c_Orderings_Oord__class_Omin( X, Z, Y ) ),
% 0.92/1.52 c_Orderings_Oord__class_Oless__eq( X, T, Z ) }.
% 0.92/1.52 { ! class_Orderings_Olinorder( X ), ! c_Orderings_Oord__class_Oless__eq( X
% 0.92/1.52 , T, c_Orderings_Oord__class_Omin( X, Z, Y ) ),
% 0.92/1.52 c_Orderings_Oord__class_Oless__eq( X, T, Y ) }.
% 0.92/1.52 { ! class_Orderings_Olinorder( X ), ! c_Orderings_Oord__class_Oless__eq( X
% 0.92/1.52 , Z, Y ), ! c_Orderings_Oord__class_Oless__eq( X, U, T ),
% 0.92/1.52 c_Orderings_Oord__class_Oless__eq( X, c_Orderings_Oord__class_Omin( X, Z
% 0.92/1.52 , U ), c_Orderings_Oord__class_Omin( X, Y, T ) ) }.
% 0.92/1.52 { ! class_Orderings_Olinorder( X ), ! c_Orderings_Oord__class_Oless__eq( X
% 0.92/1.52 , Z, Y ), ! c_Orderings_Oord__class_Oless__eq( X, Z, T ),
% 0.92/1.52 c_Orderings_Oord__class_Oless__eq( X, Z, c_Orderings_Oord__class_Omin( X
% 0.92/1.52 , Y, T ) ) }.
% 0.92/1.52 { ! class_Orderings_Olinorder( X ), ! c_Orderings_Oord__class_Oless__eq( X
% 0.92/1.52 , Z, Y ), ! c_Orderings_Oord__class_Oless__eq( X, Z, T ),
% 0.92/1.52 c_Orderings_Oord__class_Oless__eq( X, Z, c_Orderings_Oord__class_Omin( X
% 0.92/1.52 , Y, T ) ) }.
% 0.92/1.52 { ! class_Orderings_Olinorder( X ), ! c_Orderings_Oord__class_Oless__eq( X
% 0.92/1.52 , Z, Y ), c_Orderings_Oord__class_Omin( X, Y, Z ) = Z }.
% 0.92/1.52 { ! class_Orderings_Olinorder( X ), ! c_Orderings_Oord__class_Oless__eq( X
% 0.92/1.52 , Z, Y ), c_Orderings_Oord__class_Omin( X, Z, Y ) = Z }.
% 0.92/1.52 { ! class_Orderings_Olinorder( X ), ! c_Orderings_Oord__class_Oless__eq( X
% 0.92/1.52 , Z, Y ), c_Orderings_Oord__class_Oless__eq( X,
% 0.92/1.52 c_Orderings_Oord__class_Omin( X, T, Z ), Y ) }.
% 0.92/1.52 { ! class_Orderings_Olinorder( X ), ! c_Orderings_Oord__class_Oless__eq( X
% 0.92/1.52 , Z, Y ), c_Orderings_Oord__class_Oless__eq( X,
% 0.92/1.52 c_Orderings_Oord__class_Omin( X, Z, T ), Y ) }.
% 0.92/1.52 { ! class_Orderings_Olinorder( X ), ! c_Orderings_Oord__class_Oless__eq( X
% 0.92/1.52 , c_Orderings_Oord__class_Omin( X, T, Z ), Y ),
% 0.92/1.52 c_Orderings_Oord__class_Oless__eq( X, T, Y ),
% 0.92/1.52 c_Orderings_Oord__class_Oless__eq( X, Z, Y ) }.
% 0.92/1.52 { ! class_Orderings_Olinorder( X ), ! c_Orderings_Oord__class_Oless__eq( X
% 0.92/1.52 , T, Y ), c_Orderings_Oord__class_Oless__eq( X,
% 0.92/1.52 c_Orderings_Oord__class_Omin( X, T, Z ), Y ) }.
% 0.92/1.52 { ! class_Orderings_Olinorder( X ), ! c_Orderings_Oord__class_Oless__eq( X
% 0.92/1.52 , Z, Y ), c_Orderings_Oord__class_Oless__eq( X,
% 0.92/1.52 c_Orderings_Oord__class_Omin( X, T, Z ), Y ) }.
% 0.92/1.52 { ! class_Orderings_Olinorder( X ), ! c_Orderings_Oord__class_Oless__eq( X
% 0.92/1.52 , T, c_Orderings_Oord__class_Omin( X, Z, Y ) ),
% 0.92/1.52 c_Orderings_Oord__class_Oless__eq( X, T, Z ) }.
% 0.92/1.52 { ! class_Orderings_Olinorder( X ), ! c_Orderings_Oord__class_Oless__eq( X
% 0.92/1.52 , T, c_Orderings_Oord__class_Omin( X, Z, Y ) ),
% 0.92/1.52 c_Orderings_Oord__class_Oless__eq( X, T, Y ) }.
% 0.92/1.52 { ! class_Orderings_Olinorder( X ), ! c_Orderings_Oord__class_Oless__eq( X
% 0.92/1.52 , T, Z ), ! c_Orderings_Oord__class_Oless__eq( X, T, Y ),
% 0.92/1.52 c_Orderings_Oord__class_Oless__eq( X, T, c_Orderings_Oord__class_Omin( X
% 0.92/1.52 , Z, Y ) ) }.
% 0.92/1.52 { ! class_Orderings_Olinorder( X ), ! c_Orderings_Oord__class_Oless__eq( X
% 0.92/1.52 , Z, Y ), c_Orderings_Oord__class_Omin( X, Z, Y ) = Z }.
% 0.92/1.52 { ! class_Orderings_Olinorder( X ), ! c_Orderings_Oord__class_Omin( X, Z, Y
% 0.92/1.52 ) = Z, c_Orderings_Oord__class_Oless__eq( X, Z, Y ) }.
% 0.92/1.52 { ! class_Orderings_Olinorder( X ), c_Orderings_Oord__class_Oless__eq( X,
% 0.92/1.52 c_Orderings_Oord__class_Omin( X, Z, Y ), Y ) }.
% 0.92/1.52 { ! class_Orderings_Olinorder( X ), c_Orderings_Oord__class_Oless__eq( X,
% 0.92/1.52 c_Orderings_Oord__class_Omin( X, Z, Y ), Z ) }.
% 0.92/1.52 { c_Transcendental_Otan( c_Groups_Ozero__class_Ozero( tc_RealDef_Oreal ) )
% 0.92/1.52 = c_Groups_Ozero__class_Ozero( tc_RealDef_Oreal ) }.
% 0.92/1.52 { c_Transcendental_Oarctan( c_Groups_Ozero__class_Ozero( tc_RealDef_Oreal )
% 0.92/1.52 ) = c_Groups_Ozero__class_Ozero( tc_RealDef_Oreal ) }.
% 0.92/1.52 { ! c_Orderings_Oord__class_Oless( tc_RealDef_Oreal, Y, X ),
% 0.92/1.52 c_Orderings_Oord__class_Oless( tc_RealDef_Oreal, c_Transcendental_Oarctan
% 0.92/1.52 ( Y ), c_Transcendental_Oarctan( X ) ) }.
% 0.92/1.52 { ! class_Int_Onumber__ring( X ), ! class_Rings_Olinordered__idom( X ), !
% 0.92/1.52 c_Orderings_Oord__class_Oless__eq( X, c_Int_Onumber__class_Onumber__of( X
% 0.92/1.52 , Y ), c_Groups_Ozero__class_Ozero( X ) ),
% 0.92/1.52 c_Orderings_Oord__class_Oless__eq( tc_Int_Oint, Y, c_Int_OPls ) }.
% 0.92/1.52 { ! class_Int_Onumber__ring( X ), ! class_Rings_Olinordered__idom( X ), !
% 0.92/1.52 c_Orderings_Oord__class_Oless__eq( tc_Int_Oint, Y, c_Int_OPls ),
% 0.92/1.52 c_Orderings_Oord__class_Oless__eq( X, c_Int_Onumber__class_Onumber__of( X
% 0.92/1.52 , Y ), c_Groups_Ozero__class_Ozero( X ) ) }.
% 0.92/1.52 { ! class_Int_Onumber__ring( X ), ! class_Rings_Olinordered__idom( X ), !
% 0.92/1.52 c_Orderings_Oord__class_Oless__eq( X, c_Groups_Ozero__class_Ozero( X ),
% 0.92/1.52 c_Int_Onumber__class_Onumber__of( X, Y ) ),
% 0.92/1.52 c_Orderings_Oord__class_Oless__eq( tc_Int_Oint, c_Int_OPls, Y ) }.
% 0.92/1.52 { ! class_Int_Onumber__ring( X ), ! class_Rings_Olinordered__idom( X ), !
% 0.92/1.52 c_Orderings_Oord__class_Oless__eq( tc_Int_Oint, c_Int_OPls, Y ),
% 0.92/1.52 c_Orderings_Oord__class_Oless__eq( X, c_Groups_Ozero__class_Ozero( X ),
% 0.92/1.52 c_Int_Onumber__class_Onumber__of( X, Y ) ) }.
% 0.92/1.52 { ! c_Orderings_Oord__class_Oless__eq( tc_RealDef_Oreal,
% 0.92/1.52 c_Groups_Ozero__class_Ozero( tc_RealDef_Oreal ), X ), !
% 0.92/1.52 c_Orderings_Oord__class_Oless( tc_RealDef_Oreal, X, Y ), !
% 0.92/1.52 c_Orderings_Oord__class_Oless__eq( tc_RealDef_Oreal, Y,
% 0.92/1.52 c_Transcendental_Opi ), c_Orderings_Oord__class_Oless( tc_RealDef_Oreal,
% 0.92/1.52 c_Transcendental_Ocos( Y ), c_Transcendental_Ocos( X ) ) }.
% 0.92/1.52 { ! c_Orderings_Oord__class_Oless__eq( tc_RealDef_Oreal,
% 0.92/1.52 c_Groups_Ouminus__class_Ouminus( tc_RealDef_Oreal,
% 0.92/1.52 c_Rings_Oinverse__class_Odivide( tc_RealDef_Oreal, c_Transcendental_Opi,
% 0.92/1.52 c_Int_Onumber__class_Onumber__of( tc_RealDef_Oreal, c_Int_OBit0(
% 0.92/1.52 c_Int_OBit1( c_Int_OPls ) ) ) ) ), X ), !
% 0.92/1.52 c_Orderings_Oord__class_Oless__eq( tc_RealDef_Oreal, X, Y ), !
% 0.92/1.52 c_Orderings_Oord__class_Oless__eq( tc_RealDef_Oreal, Y,
% 0.92/1.52 c_Rings_Oinverse__class_Odivide( tc_RealDef_Oreal, c_Transcendental_Opi,
% 0.92/1.52 c_Int_Onumber__class_Onumber__of( tc_RealDef_Oreal, c_Int_OBit0(
% 0.92/1.52 c_Int_OBit1( c_Int_OPls ) ) ) ) ), c_Orderings_Oord__class_Oless__eq(
% 0.92/1.52 tc_RealDef_Oreal, c_Transcendental_Osin( X ), c_Transcendental_Osin( Y )
% 0.92/1.52 ) }.
% 0.92/1.52 { ! class_Int_Onumber__ring( X ), ! class_Rings_Olinordered__idom( X ), !
% 0.92/1.52 c_Orderings_Oord__class_Oless__eq( X, c_Int_Onumber__class_Onumber__of( X
% 0.92/1.52 , Y ), c_Groups_Oone__class_Oone( X ) ),
% 0.92/1.52 c_Orderings_Oord__class_Oless__eq( tc_Int_Oint, Y, c_Int_OBit1(
% 0.92/1.52 c_Int_OPls ) ) }.
% 0.92/1.52 { ! class_Int_Onumber__ring( X ), ! class_Rings_Olinordered__idom( X ), !
% 0.92/1.52 c_Orderings_Oord__class_Oless__eq( tc_Int_Oint, Y, c_Int_OBit1(
% 0.92/1.52 c_Int_OPls ) ), c_Orderings_Oord__class_Oless__eq( X,
% 0.92/1.52 c_Int_Onumber__class_Onumber__of( X, Y ), c_Groups_Oone__class_Oone( X )
% 0.92/1.52 ) }.
% 0.92/1.52 { ! class_Int_Onumber__ring( X ), ! class_Rings_Olinordered__idom( X ), !
% 0.92/1.52 c_Orderings_Oord__class_Oless__eq( X, c_Groups_Oone__class_Oone( X ),
% 0.92/1.52 c_Int_Onumber__class_Onumber__of( X, Y ) ),
% 0.92/1.52 c_Orderings_Oord__class_Oless__eq( tc_Int_Oint, c_Int_OBit1( c_Int_OPls )
% 0.92/1.52 , Y ) }.
% 0.92/1.52 { ! class_Int_Onumber__ring( X ), ! class_Rings_Olinordered__idom( X ), !
% 0.92/1.52 c_Orderings_Oord__class_Oless__eq( tc_Int_Oint, c_Int_OBit1( c_Int_OPls )
% 0.92/1.52 , Y ), c_Orderings_Oord__class_Oless__eq( X, c_Groups_Oone__class_Oone( X
% 0.92/1.52 ), c_Int_Onumber__class_Onumber__of( X, Y ) ) }.
% 0.92/1.52 { ! class_Rings_Olinordered__idom( X ), ! c_Orderings_Oord__class_Oless( X
% 0.92/1.52 , Y, c_Groups_Ouminus__class_Ouminus( X, Y ) ),
% 0.92/1.52 c_Orderings_Oord__class_Oless( X, Y, c_Groups_Ozero__class_Ozero( X ) ) }
% 0.92/1.52 .
% 0.92/1.52 { ! class_Rings_Olinordered__idom( X ), ! c_Orderings_Oord__class_Oless( X
% 0.92/1.52 , Y, c_Groups_Ozero__class_Ozero( X ) ), c_Orderings_Oord__class_Oless( X
% 0.92/1.52 , Y, c_Groups_Ouminus__class_Ouminus( X, Y ) ) }.
% 0.92/1.52 { ! class_Rings_Odivision__ring( X ), Y = c_Groups_Ozero__class_Ozero( X )
% 0.92/1.52 , c_Rings_Oinverse__class_Odivide( X, c_Groups_Ouminus__class_Ouminus( X
% 0.92/1.52 , Z ), c_Groups_Ouminus__class_Ouminus( X, Y ) ) =
% 0.92/1.52 c_Rings_Oinverse__class_Odivide( X, Z, Y ) }.
% 0.92/1.52 { ! class_Rings_Odivision__ring( X ), Y = c_Groups_Ozero__class_Ozero( X )
% 0.92/1.52 , c_Groups_Ouminus__class_Ouminus( X, c_Rings_Oinverse__class_Odivide( X
% 0.92/1.52 , Z, Y ) ) = c_Rings_Oinverse__class_Odivide( X, Z,
% 0.92/1.52 c_Groups_Ouminus__class_Ouminus( X, Y ) ) }.
% 0.92/1.52 { c_Transcendental_Osin( c_Transcendental_Opi ) =
% 0.92/1.52 c_Groups_Ozero__class_Ozero( tc_RealDef_Oreal ) }.
% 0.92/1.52 { ! class_Rings_Olinordered__semidom( X ),
% 0.92/1.52 c_Orderings_Oord__class_Oless__eq( X, c_Groups_Ozero__class_Ozero( X ),
% 0.92/1.52 c_Groups_Oone__class_Oone( X ) ) }.
% 0.92/1.52 { ! class_Rings_Olinordered__semidom( X ), !
% 0.92/1.52 c_Orderings_Oord__class_Oless__eq( X, c_Groups_Oone__class_Oone( X ),
% 0.92/1.52 c_Groups_Ozero__class_Ozero( X ) ) }.
% 0.92/1.52 { ! class_Int_Onumber( X ), ! class_Orderings_Olinorder( X ), !
% 0.92/1.52 c_Orderings_Oord__class_Oless__eq( X, c_Int_Onumber__class_Onumber__of( X
% 0.92/1.52 , Z ), c_Int_Onumber__class_Onumber__of( X, Y ) ), !
% 0.92/1.52 c_Orderings_Oord__class_Oless( X, c_Int_Onumber__class_Onumber__of( X, Y
% 0.92/1.52 ), c_Int_Onumber__class_Onumber__of( X, Z ) ) }.
% 0.92/1.52 { ! class_Int_Onumber( X ), ! class_Orderings_Olinorder( X ),
% 0.92/1.52 c_Orderings_Oord__class_Oless( X, c_Int_Onumber__class_Onumber__of( X, Y
% 0.92/1.52 ), c_Int_Onumber__class_Onumber__of( X, Z ) ),
% 0.92/1.52 c_Orderings_Oord__class_Oless__eq( X, c_Int_Onumber__class_Onumber__of( X
% 0.92/1.52 , Z ), c_Int_Onumber__class_Onumber__of( X, Y ) ) }.
% 0.92/1.52 { ! class_Fields_Olinordered__field__inverse__zero( X ), !
% 0.92/1.52 c_Orderings_Oord__class_Oless__eq( X, Z, Y ), !
% 0.92/1.52 c_Orderings_Oord__class_Oless__eq( X, T, c_Groups_Ozero__class_Ozero( X )
% 0.92/1.52 ), c_Orderings_Oord__class_Oless__eq( X, c_Rings_Oinverse__class_Odivide
% 0.92/1.52 ( X, Y, T ), c_Rings_Oinverse__class_Odivide( X, Z, T ) ) }.
% 0.92/1.52 { ! class_Fields_Olinordered__field__inverse__zero( X ), !
% 0.92/1.52 c_Orderings_Oord__class_Oless__eq( X, Z, Y ), !
% 0.92/1.52 c_Orderings_Oord__class_Oless__eq( X, c_Groups_Ozero__class_Ozero( X ), T
% 0.92/1.52 ), c_Orderings_Oord__class_Oless__eq( X, c_Rings_Oinverse__class_Odivide
% 0.92/1.52 ( X, Z, T ), c_Rings_Oinverse__class_Odivide( X, Y, T ) ) }.
% 0.92/1.52 { ! class_Fields_Olinordered__field__inverse__zero( X ), !
% 0.92/1.52 c_Orderings_Oord__class_Oless__eq( X, c_Rings_Oinverse__class_Odivide( X
% 0.92/1.52 , Z, Y ), c_Groups_Ozero__class_Ozero( X ) ), alpha4( X, Y, Z ), alpha33
% 0.92/1.52 ( X, Y, Z ) }.
% 0.92/1.52 { ! class_Fields_Olinordered__field__inverse__zero( X ), ! alpha4( X, Y, Z
% 0.92/1.52 ), c_Orderings_Oord__class_Oless__eq( X, c_Rings_Oinverse__class_Odivide
% 0.92/1.52 ( X, Z, Y ), c_Groups_Ozero__class_Ozero( X ) ) }.
% 0.92/1.52 { ! class_Fields_Olinordered__field__inverse__zero( X ), ! alpha33( X, Y, Z
% 0.92/1.52 ), c_Orderings_Oord__class_Oless__eq( X, c_Rings_Oinverse__class_Odivide
% 0.92/1.52 ( X, Z, Y ), c_Groups_Ozero__class_Ozero( X ) ) }.
% 0.92/1.52 { ! alpha33( X, Y, Z ), c_Orderings_Oord__class_Oless__eq( X, Z,
% 0.92/1.52 c_Groups_Ozero__class_Ozero( X ) ) }.
% 0.92/1.52 { ! alpha33( X, Y, Z ), c_Orderings_Oord__class_Oless__eq( X,
% 0.92/1.52 c_Groups_Ozero__class_Ozero( X ), Y ) }.
% 0.92/1.52 { ! c_Orderings_Oord__class_Oless__eq( X, Z, c_Groups_Ozero__class_Ozero( X
% 0.92/1.52 ) ), ! c_Orderings_Oord__class_Oless__eq( X, c_Groups_Ozero__class_Ozero
% 0.92/1.52 ( X ), Y ), alpha33( X, Y, Z ) }.
% 0.92/1.52 { ! alpha4( X, Y, Z ), c_Orderings_Oord__class_Oless__eq( X,
% 0.92/1.52 c_Groups_Ozero__class_Ozero( X ), Z ) }.
% 0.92/1.52 { ! alpha4( X, Y, Z ), c_Orderings_Oord__class_Oless__eq( X, Y,
% 0.92/1.52 c_Groups_Ozero__class_Ozero( X ) ) }.
% 0.92/1.52 { ! c_Orderings_Oord__class_Oless__eq( X, c_Groups_Ozero__class_Ozero( X )
% 0.92/1.52 , Z ), ! c_Orderings_Oord__class_Oless__eq( X, Y,
% 0.92/1.52 c_Groups_Ozero__class_Ozero( X ) ), alpha4( X, Y, Z ) }.
% 0.92/1.52 { ! class_Fields_Olinordered__field__inverse__zero( X ), !
% 0.92/1.52 c_Orderings_Oord__class_Oless__eq( X, c_Groups_Ozero__class_Ozero( X ),
% 0.92/1.52 c_Rings_Oinverse__class_Odivide( X, Z, Y ) ), alpha5( X, Y, Z ), alpha34
% 0.92/1.52 ( X, Y, Z ) }.
% 0.92/1.52 { ! class_Fields_Olinordered__field__inverse__zero( X ), ! alpha5( X, Y, Z
% 0.92/1.52 ), c_Orderings_Oord__class_Oless__eq( X, c_Groups_Ozero__class_Ozero( X
% 0.92/1.52 ), c_Rings_Oinverse__class_Odivide( X, Z, Y ) ) }.
% 0.92/1.52 { ! class_Fields_Olinordered__field__inverse__zero( X ), ! alpha34( X, Y, Z
% 0.92/1.52 ), c_Orderings_Oord__class_Oless__eq( X, c_Groups_Ozero__class_Ozero( X
% 0.92/1.52 ), c_Rings_Oinverse__class_Odivide( X, Z, Y ) ) }.
% 0.92/1.52 { ! alpha34( X, Y, Z ), c_Orderings_Oord__class_Oless__eq( X, Z,
% 0.92/1.52 c_Groups_Ozero__class_Ozero( X ) ) }.
% 0.92/1.52 { ! alpha34( X, Y, Z ), c_Orderings_Oord__class_Oless__eq( X, Y,
% 0.92/1.52 c_Groups_Ozero__class_Ozero( X ) ) }.
% 0.92/1.52 { ! c_Orderings_Oord__class_Oless__eq( X, Z, c_Groups_Ozero__class_Ozero( X
% 0.92/1.52 ) ), ! c_Orderings_Oord__class_Oless__eq( X, Y,
% 0.92/1.52 c_Groups_Ozero__class_Ozero( X ) ), alpha34( X, Y, Z ) }.
% 0.92/1.52 { ! alpha5( X, Y, Z ), c_Orderings_Oord__class_Oless__eq( X,
% 0.92/1.52 c_Groups_Ozero__class_Ozero( X ), Z ) }.
% 0.92/1.52 { ! alpha5( X, Y, Z ), c_Orderings_Oord__class_Oless__eq( X,
% 0.92/1.52 c_Groups_Ozero__class_Ozero( X ), Y ) }.
% 0.92/1.52 { ! c_Orderings_Oord__class_Oless__eq( X, c_Groups_Ozero__class_Ozero( X )
% 0.92/1.52 , Z ), ! c_Orderings_Oord__class_Oless__eq( X,
% 0.92/1.52 c_Groups_Ozero__class_Ozero( X ), Y ), alpha5( X, Y, Z ) }.
% 0.92/1.52 { ! class_Int_Onumber( X ), ! class_Orderings_Oord( X ), !
% 0.92/1.52 c_Orderings_Oord__class_Oless__eq( X, c_Int_Onumber__class_Onumber__of( X
% 0.92/1.52 , Z ), c_Int_Onumber__class_Onumber__of( X, Y ) ),
% 0.92/1.52 c_Orderings_Oord__class_Omin( X, c_Int_Onumber__class_Onumber__of( X, Z )
% 0.92/1.52 , c_Int_Onumber__class_Onumber__of( X, Y ) ) =
% 0.92/1.52 c_Int_Onumber__class_Onumber__of( X, Z ) }.
% 0.92/1.52 { ! class_Int_Onumber( X ), ! class_Orderings_Oord( X ),
% 0.92/1.52 c_Orderings_Oord__class_Oless__eq( X, c_Int_Onumber__class_Onumber__of( X
% 0.92/1.52 , Z ), c_Int_Onumber__class_Onumber__of( X, Y ) ),
% 0.92/1.52 c_Orderings_Oord__class_Omin( X, c_Int_Onumber__class_Onumber__of( X, Z )
% 0.92/1.52 , c_Int_Onumber__class_Onumber__of( X, Y ) ) =
% 0.92/1.52 c_Int_Onumber__class_Onumber__of( X, Y ) }.
% 0.92/1.52 { ! c_Orderings_Oord__class_Oless__eq( tc_RealDef_Oreal,
% 0.92/1.52 c_Groups_Ouminus__class_Ouminus( tc_RealDef_Oreal,
% 0.92/1.52 c_Rings_Oinverse__class_Odivide( tc_RealDef_Oreal, c_Transcendental_Opi,
% 0.92/1.52 c_Int_Onumber__class_Onumber__of( tc_RealDef_Oreal, c_Int_OBit0(
% 0.92/1.52 c_Int_OBit1( c_Int_OPls ) ) ) ) ), X ), !
% 0.92/1.52 c_Orderings_Oord__class_Oless__eq( tc_RealDef_Oreal, X,
% 0.92/1.52 c_Rings_Oinverse__class_Odivide( tc_RealDef_Oreal, c_Transcendental_Opi,
% 0.92/1.52 c_Int_Onumber__class_Onumber__of( tc_RealDef_Oreal, c_Int_OBit0(
% 0.92/1.52 c_Int_OBit1( c_Int_OPls ) ) ) ) ), c_Orderings_Oord__class_Oless__eq(
% 0.92/1.52 tc_RealDef_Oreal, c_Groups_Ozero__class_Ozero( tc_RealDef_Oreal ),
% 0.92/1.52 c_Transcendental_Ocos( X ) ) }.
% 0.92/1.52 { c_Orderings_Oord__class_Oless__eq( tc_RealDef_Oreal,
% 0.92/1.52 c_Groups_Ozero__class_Ozero( tc_RealDef_Oreal ), c_Transcendental_Opi ) }
% 0.92/1.52 .
% 0.92/1.52 { c_Transcendental_Otan( c_Transcendental_Opi ) =
% 0.92/1.52 c_Groups_Ozero__class_Ozero( tc_RealDef_Oreal ) }.
% 0.92/1.52 { c_Orderings_Oord__class_Oless__eq( tc_RealDef_Oreal,
% 0.92/1.52 c_Transcendental_Ocos( c_Int_Onumber__class_Onumber__of( tc_RealDef_Oreal
% 0.92/1.52 , c_Int_OBit0( c_Int_OBit1( c_Int_OPls ) ) ) ),
% 0.92/1.52 c_Groups_Ozero__class_Ozero( tc_RealDef_Oreal ) ) }.
% 0.92/1.52 { ! c_Orderings_Oord__class_Oless( tc_RealDef_Oreal,
% 0.92/1.52 c_Groups_Ouminus__class_Ouminus( tc_RealDef_Oreal,
% 0.92/1.52 c_Rings_Oinverse__class_Odivide( tc_RealDef_Oreal, c_Transcendental_Opi,
% 0.92/1.52 c_Int_Onumber__class_Onumber__of( tc_RealDef_Oreal, c_Int_OBit0(
% 0.92/1.52 c_Int_OBit1( c_Int_OPls ) ) ) ) ), X ), ! c_Orderings_Oord__class_Oless(
% 0.92/1.52 tc_RealDef_Oreal, X, c_Rings_Oinverse__class_Odivide( tc_RealDef_Oreal,
% 0.92/1.52 c_Transcendental_Opi, c_Int_Onumber__class_Onumber__of( tc_RealDef_Oreal
% 0.92/1.52 , c_Int_OBit0( c_Int_OBit1( c_Int_OPls ) ) ) ) ),
% 0.92/1.52 c_Transcendental_Oarctan( c_Transcendental_Otan( X ) ) = X }.
% 0.92/1.52 { c_Orderings_Oord__class_Oless( tc_RealDef_Oreal,
% 0.92/1.52 c_Groups_Ouminus__class_Ouminus( tc_RealDef_Oreal,
% 0.92/1.52 c_Rings_Oinverse__class_Odivide( tc_RealDef_Oreal, c_Transcendental_Opi,
% 0.92/1.52 c_Int_Onumber__class_Onumber__of( tc_RealDef_Oreal, c_Int_OBit0(
% 0.92/1.52 c_Int_OBit1( c_Int_OPls ) ) ) ) ), c_Transcendental_Oarctan( X ) ) }.
% 0.92/1.52 { c_Orderings_Oord__class_Oless( tc_RealDef_Oreal, c_Transcendental_Oarctan
% 0.92/1.52 ( X ), c_Rings_Oinverse__class_Odivide( tc_RealDef_Oreal,
% 0.92/1.52 c_Transcendental_Opi, c_Int_Onumber__class_Onumber__of( tc_RealDef_Oreal
% 0.92/1.52 , c_Int_OBit0( c_Int_OBit1( c_Int_OPls ) ) ) ) ) }.
% 0.92/1.52 { c_Transcendental_Otan( c_Transcendental_Oarctan( X ) ) = X }.
% 0.92/1.52 { ! c_Orderings_Oord__class_Oless( tc_RealDef_Oreal,
% 0.92/1.52 c_Groups_Ozero__class_Ozero( tc_RealDef_Oreal ), X ), !
% 0.92/1.52 c_Orderings_Oord__class_Oless( tc_RealDef_Oreal, X, c_Transcendental_Opi
% 0.92/1.52 ), c_Orderings_Oord__class_Oless( tc_RealDef_Oreal,
% 0.92/1.52 c_Groups_Ozero__class_Ozero( tc_RealDef_Oreal ), c_Transcendental_Osin( X
% 0.92/1.52 ) ) }.
% 0.92/1.52 { ! class_Fields_Olinordered__field( X ), !
% 0.92/1.52 c_Orderings_Oord__class_Oless__eq( X, Y, c_Groups_Ozero__class_Ozero( X )
% 0.92/1.52 ), ! c_Orderings_Oord__class_Oless( X, Z, c_Groups_Ozero__class_Ozero( X
% 0.92/1.52 ) ), c_Orderings_Oord__class_Oless__eq( X, c_Groups_Ozero__class_Ozero(
% 0.92/1.52 X ), c_Rings_Oinverse__class_Odivide( X, Y, Z ) ) }.
% 0.92/1.52 { ! class_Fields_Olinordered__field( X ), !
% 0.92/1.52 c_Orderings_Oord__class_Oless__eq( X, Y, c_Groups_Ozero__class_Ozero( X )
% 0.92/1.52 ), ! c_Orderings_Oord__class_Oless( X, c_Groups_Ozero__class_Ozero( X )
% 0.92/1.52 , Z ), c_Orderings_Oord__class_Oless__eq( X,
% 0.92/1.52 c_Rings_Oinverse__class_Odivide( X, Y, Z ), c_Groups_Ozero__class_Ozero(
% 0.92/1.52 X ) ) }.
% 0.92/1.52 { ! class_Fields_Olinordered__field( X ), !
% 0.92/1.52 c_Orderings_Oord__class_Oless__eq( X, c_Groups_Ozero__class_Ozero( X ), Y
% 0.92/1.52 ), ! c_Orderings_Oord__class_Oless__eq( X, Y, Z ), !
% 0.92/1.52 c_Orderings_Oord__class_Oless( X, c_Groups_Ozero__class_Ozero( X ), T ),
% 0.92/1.52 ! c_Orderings_Oord__class_Oless__eq( X, T, U ),
% 0.92/1.52 c_Orderings_Oord__class_Oless__eq( X, c_Rings_Oinverse__class_Odivide( X
% 0.92/1.52 , Y, U ), c_Rings_Oinverse__class_Odivide( X, Z, T ) ) }.
% 0.92/1.52 { ! class_Fields_Olinordered__field( X ), !
% 0.92/1.52 c_Orderings_Oord__class_Oless__eq( X, c_Groups_Ozero__class_Ozero( X ), Y
% 0.92/1.52 ), ! c_Orderings_Oord__class_Oless( X, Y, Z ), !
% 0.92/1.52 c_Orderings_Oord__class_Oless( X, c_Groups_Ozero__class_Ozero( X ), T ),
% 0.92/1.52 ! c_Orderings_Oord__class_Oless__eq( X, T, U ),
% 0.92/1.52 c_Orderings_Oord__class_Oless( X, c_Rings_Oinverse__class_Odivide( X, Y,
% 0.92/1.52 U ), c_Rings_Oinverse__class_Odivide( X, Z, T ) ) }.
% 0.92/1.52 { ! class_Fields_Olinordered__field( X ), ! c_Orderings_Oord__class_Oless(
% 0.92/1.52 X, c_Groups_Ozero__class_Ozero( X ), Y ), !
% 0.92/1.52 c_Orderings_Oord__class_Oless__eq( X, Y, Z ), !
% 0.92/1.52 c_Orderings_Oord__class_Oless( X, c_Groups_Ozero__class_Ozero( X ), T ),
% 0.92/1.52 ! c_Orderings_Oord__class_Oless( X, T, U ), c_Orderings_Oord__class_Oless
% 0.92/1.52 ( X, c_Rings_Oinverse__class_Odivide( X, Y, U ),
% 0.92/1.52 c_Rings_Oinverse__class_Odivide( X, Z, T ) ) }.
% 0.92/1.52 { ! class_Fields_Olinordered__field( X ), !
% 0.92/1.52 c_Orderings_Oord__class_Oless__eq( X, c_Groups_Ozero__class_Ozero( X ), Y
% 0.92/1.52 ), ! c_Orderings_Oord__class_Oless( X, Z, c_Groups_Ozero__class_Ozero( X
% 0.92/1.52 ) ), c_Orderings_Oord__class_Oless__eq( X,
% 0.92/1.52 c_Rings_Oinverse__class_Odivide( X, Y, Z ), c_Groups_Ozero__class_Ozero(
% 0.92/1.52 X ) ) }.
% 0.92/1.52 { ! class_Fields_Olinordered__field( X ), !
% 0.92/1.52 c_Orderings_Oord__class_Oless__eq( X, c_Groups_Ozero__class_Ozero( X ), Y
% 0.92/1.52 ), ! c_Orderings_Oord__class_Oless( X, c_Groups_Ozero__class_Ozero( X )
% 0.92/1.52 , Z ), c_Orderings_Oord__class_Oless__eq( X, c_Groups_Ozero__class_Ozero
% 0.92/1.52 ( X ), c_Rings_Oinverse__class_Odivide( X, Y, Z ) ) }.
% 0.92/1.52 { c_Orderings_Oord__class_Omin( tc_Nat_Onat, X, c_Groups_Ozero__class_Ozero
% 0.92/1.52 ( tc_Nat_Onat ) ) = c_Groups_Ozero__class_Ozero( tc_Nat_Onat ) }.
% 0.92/1.52 { c_Orderings_Oord__class_Omin( tc_Nat_Onat, c_Groups_Ozero__class_Ozero(
% 0.92/1.52 tc_Nat_Onat ), X ) = c_Groups_Ozero__class_Ozero( tc_Nat_Onat ) }.
% 0.92/1.52 { c_Groups_Ozero__class_Ozero( tc_Code__Numeral_Ocode__numeral ) =
% 0.92/1.52 c_Int_Onumber__class_Onumber__of( tc_Code__Numeral_Ocode__numeral,
% 0.92/1.52 c_Int_OPls ) }.
% 0.92/1.52 { alpha104( X, Y, Z ), c_Orderings_Oord__class_Oless( tc_Nat_Onat, Y, Z ),
% 0.92/1.52 hBOOL( hAPP( hAPP( X, Y ), Z ) ) }.
% 0.92/1.52 { alpha104( X, Y, Z ), ! hBOOL( hAPP( hAPP( X, Y ), Z ) ), hBOOL( hAPP(
% 0.92/1.52 hAPP( X, Y ), Z ) ) }.
% 0.92/1.52 { ! alpha104( X, Y, Z ), alpha108( X, Y, Z ), Z = Y }.
% 0.92/1.52 { ! alpha104( X, Y, Z ), alpha108( X, Y, Z ), ! hBOOL( hAPP( hAPP( X, Y ),
% 0.92/1.52 Z ) ) }.
% 0.92/1.52 { ! alpha108( X, Y, Z ), alpha104( X, Y, Z ) }.
% 0.92/1.52 { ! Z = Y, hBOOL( hAPP( hAPP( X, Y ), Z ) ), alpha104( X, Y, Z ) }.
% 0.92/1.52 { ! alpha108( X, Y, Z ), c_Orderings_Oord__class_Oless( tc_Nat_Onat, Z, Y )
% 0.92/1.52 }.
% 0.92/1.52 { ! alpha108( X, Y, Z ), ! hBOOL( hAPP( hAPP( X, Y ), Z ) ) }.
% 0.92/1.52 { ! c_Orderings_Oord__class_Oless( tc_Nat_Onat, Z, Y ), hBOOL( hAPP( hAPP(
% 0.92/1.52 X, Y ), Z ) ), alpha108( X, Y, Z ) }.
% 0.92/1.52 { ! c_Orderings_Oord__class_Oless( tc_Nat_Onat, Y, X ), ! Y = X }.
% 0.92/1.52 { ! c_Orderings_Oord__class_Oless( tc_Nat_Onat, Y, X ), ! X = Y }.
% 0.92/1.52 { ! c_Orderings_Oord__class_Oless( tc_Nat_Onat, X, X ) }.
% 0.92/1.52 { Y = X, c_Orderings_Oord__class_Oless( tc_Nat_Onat, Y, X ),
% 0.92/1.52 c_Orderings_Oord__class_Oless( tc_Nat_Onat, X, Y ) }.
% 0.92/1.52 { Y = X, c_Orderings_Oord__class_Oless( tc_Nat_Onat, Y, X ),
% 0.92/1.52 c_Orderings_Oord__class_Oless( tc_Nat_Onat, X, Y ) }.
% 0.92/1.52 { ! c_Orderings_Oord__class_Oless( tc_Nat_Onat, Y, X ), ! Y = X }.
% 0.92/1.52 { ! c_Orderings_Oord__class_Oless( tc_Nat_Onat, X, Y ), ! Y = X }.
% 0.92/1.52 { ! c_Orderings_Oord__class_Oless( tc_Nat_Onat, X, X ) }.
% 0.92/1.52 { ! c_Orderings_Oord__class_Oless( tc_RealDef_Oreal,
% 0.92/1.52 c_Groups_Ouminus__class_Ouminus( tc_RealDef_Oreal,
% 0.92/1.52 c_Rings_Oinverse__class_Odivide( tc_RealDef_Oreal, c_Transcendental_Opi,
% 0.92/1.52 c_Int_Onumber__class_Onumber__of( tc_RealDef_Oreal, c_Int_OBit0(
% 0.92/1.52 c_Int_OBit1( c_Int_OPls ) ) ) ) ), X ), ! c_Orderings_Oord__class_Oless(
% 0.92/1.52 tc_RealDef_Oreal, X, c_Rings_Oinverse__class_Odivide( tc_RealDef_Oreal,
% 0.92/1.52 c_Transcendental_Opi, c_Int_Onumber__class_Onumber__of( tc_RealDef_Oreal
% 0.92/1.52 , c_Int_OBit0( c_Int_OBit1( c_Int_OPls ) ) ) ) ), !
% 0.92/1.52 c_Orderings_Oord__class_Oless( tc_RealDef_Oreal,
% 0.92/1.52 c_Groups_Ouminus__class_Ouminus( tc_RealDef_Oreal,
% 0.92/1.52 c_Rings_Oinverse__class_Odivide( tc_RealDef_Oreal, c_Transcendental_Opi,
% 0.92/1.52 c_Int_Onumber__class_Onumber__of( tc_RealDef_Oreal, c_Int_OBit0(
% 0.92/1.52 c_Int_OBit1( c_Int_OPls ) ) ) ) ), Y ), ! c_Orderings_Oord__class_Oless(
% 0.92/1.52 tc_RealDef_Oreal, Y, c_Rings_Oinverse__class_Odivide( tc_RealDef_Oreal,
% 0.92/1.52 c_Transcendental_Opi, c_Int_Onumber__class_Onumber__of( tc_RealDef_Oreal
% 0.92/1.52 , c_Int_OBit0( c_Int_OBit1( c_Int_OPls ) ) ) ) ), !
% 0.92/1.52 c_Orderings_Oord__class_Oless( tc_RealDef_Oreal, X, Y ),
% 0.92/1.52 c_Orderings_Oord__class_Oless( tc_RealDef_Oreal, c_Transcendental_Otan( X
% 0.92/1.52 ), c_Transcendental_Otan( Y ) ) }.
% 0.92/1.52 { ! c_Orderings_Oord__class_Oless( tc_RealDef_Oreal,
% 0.92/1.52 c_Groups_Ouminus__class_Ouminus( tc_RealDef_Oreal,
% 0.92/1.52 c_Rings_Oinverse__class_Odivide( tc_RealDef_Oreal, c_Transcendental_Opi,
% 0.92/1.52 c_Int_Onumber__class_Onumber__of( tc_RealDef_Oreal, c_Int_OBit0(
% 0.92/1.52 c_Int_OBit1( c_Int_OPls ) ) ) ) ), X ), ! c_Orderings_Oord__class_Oless(
% 0.92/1.52 tc_RealDef_Oreal, X, c_Rings_Oinverse__class_Odivide( tc_RealDef_Oreal,
% 0.92/1.52 c_Transcendental_Opi, c_Int_Onumber__class_Onumber__of( tc_RealDef_Oreal
% 0.92/1.52 , c_Int_OBit0( c_Int_OBit1( c_Int_OPls ) ) ) ) ), !
% 0.92/1.52 c_Orderings_Oord__class_Oless( tc_RealDef_Oreal,
% 0.92/1.52 c_Groups_Ouminus__class_Ouminus( tc_RealDef_Oreal,
% 0.92/1.52 c_Rings_Oinverse__class_Odivide( tc_RealDef_Oreal, c_Transcendental_Opi,
% 0.92/1.52 c_Int_Onumber__class_Onumber__of( tc_RealDef_Oreal, c_Int_OBit0(
% 0.92/1.52 c_Int_OBit1( c_Int_OPls ) ) ) ) ), Y ), ! c_Orderings_Oord__class_Oless(
% 0.92/1.52 tc_RealDef_Oreal, Y, c_Rings_Oinverse__class_Odivide( tc_RealDef_Oreal,
% 0.92/1.52 c_Transcendental_Opi, c_Int_Onumber__class_Onumber__of( tc_RealDef_Oreal
% 0.92/1.52 , c_Int_OBit0( c_Int_OBit1( c_Int_OPls ) ) ) ) ), !
% 0.92/1.52 c_Orderings_Oord__class_Oless( tc_RealDef_Oreal, c_Transcendental_Otan( X
% 0.92/1.52 ), c_Transcendental_Otan( Y ) ), c_Orderings_Oord__class_Oless(
% 0.92/1.52 tc_RealDef_Oreal, X, Y ) }.
% 0.92/1.52 { ! c_Orderings_Oord__class_Oless( tc_RealDef_Oreal,
% 0.92/1.52 c_Groups_Ouminus__class_Ouminus( tc_RealDef_Oreal,
% 0.92/1.52 c_Rings_Oinverse__class_Odivide( tc_RealDef_Oreal, c_Transcendental_Opi,
% 0.92/1.52 c_Int_Onumber__class_Onumber__of( tc_RealDef_Oreal, c_Int_OBit0(
% 0.92/1.52 c_Int_OBit1( c_Int_OPls ) ) ) ) ), X ), ! c_Orderings_Oord__class_Oless(
% 0.92/1.52 tc_RealDef_Oreal, X, Y ), ! c_Orderings_Oord__class_Oless(
% 0.92/1.52 tc_RealDef_Oreal, Y, c_Rings_Oinverse__class_Odivide( tc_RealDef_Oreal,
% 0.92/1.52 c_Transcendental_Opi, c_Int_Onumber__class_Onumber__of( tc_RealDef_Oreal
% 0.92/1.52 , c_Int_OBit0( c_Int_OBit1( c_Int_OPls ) ) ) ) ),
% 0.92/1.52 c_Orderings_Oord__class_Oless( tc_RealDef_Oreal, c_Transcendental_Otan( X
% 0.92/1.52 ), c_Transcendental_Otan( Y ) ) }.
% 0.92/1.52 { ! c_Orderings_Oord__class_Oless( tc_RealDef_Oreal,
% 0.92/1.52 c_Rings_Oinverse__class_Odivide( tc_RealDef_Oreal,
% 0.92/1.52 c_Groups_Ouminus__class_Ouminus( tc_RealDef_Oreal, c_Transcendental_Opi )
% 0.92/1.52 , c_Int_Onumber__class_Onumber__of( tc_RealDef_Oreal, c_Int_OBit0(
% 0.92/1.52 c_Int_OBit1( c_Int_OPls ) ) ) ), X ), ! c_Orderings_Oord__class_Oless(
% 0.92/1.52 tc_RealDef_Oreal, X, c_Groups_Ozero__class_Ozero( tc_RealDef_Oreal ) ),
% 0.92/1.52 c_Orderings_Oord__class_Oless( tc_RealDef_Oreal, c_Transcendental_Osin( X
% 0.92/1.52 ), c_Groups_Ozero__class_Ozero( tc_RealDef_Oreal ) ) }.
% 0.92/1.52 { c_Orderings_Oord__class_Oless( tc_RealDef_Oreal,
% 0.92/1.52 c_Groups_Ouminus__class_Ouminus( tc_RealDef_Oreal,
% 0.92/1.52 c_Rings_Oinverse__class_Odivide( tc_RealDef_Oreal, c_Transcendental_Opi,
% 0.92/1.52 c_Int_Onumber__class_Onumber__of( tc_RealDef_Oreal, c_Int_OBit0(
% 0.92/1.52 c_Int_OBit1( c_Int_OPls ) ) ) ) ), c_Transcendental_Oarctan( X ) ) }.
% 0.92/1.52 { c_Orderings_Oord__class_Oless( tc_RealDef_Oreal, c_Transcendental_Oarctan
% 0.92/1.52 ( X ), c_Rings_Oinverse__class_Odivide( tc_RealDef_Oreal,
% 0.92/1.52 c_Transcendental_Opi, c_Int_Onumber__class_Onumber__of( tc_RealDef_Oreal
% 0.92/1.52 , c_Int_OBit0( c_Int_OBit1( c_Int_OPls ) ) ) ) ) }.
% 0.92/1.52 { c_Orderings_Oord__class_Oless( tc_RealDef_Oreal,
% 0.92/1.52 c_Groups_Ouminus__class_Ouminus( tc_RealDef_Oreal,
% 0.92/1.52 c_Rings_Oinverse__class_Odivide( tc_RealDef_Oreal, c_Transcendental_Opi,
% 0.92/1.52 c_Int_Onumber__class_Onumber__of( tc_RealDef_Oreal, c_Int_OBit0(
% 0.92/1.52 c_Int_OBit1( c_Int_OPls ) ) ) ) ), c_Transcendental_Oarctan( X ) ) }.
% 0.92/1.52 { ! c_Orderings_Oord__class_Oless( tc_RealDef_Oreal,
% 0.92/1.52 c_Groups_Ouminus__class_Ouminus( tc_RealDef_Oreal,
% 0.92/1.52 c_Rings_Oinverse__class_Odivide( tc_RealDef_Oreal, c_Transcendental_Opi,
% 0.92/1.52 c_Int_Onumber__class_Onumber__of( tc_RealDef_Oreal, c_Int_OBit0(
% 0.92/1.52 c_Int_OBit1( c_Int_OPls ) ) ) ) ), X ), ! c_Orderings_Oord__class_Oless(
% 0.92/1.52 tc_RealDef_Oreal, X, c_Rings_Oinverse__class_Odivide( tc_RealDef_Oreal,
% 0.92/1.52 c_Transcendental_Opi, c_Int_Onumber__class_Onumber__of( tc_RealDef_Oreal
% 0.92/1.52 , c_Int_OBit0( c_Int_OBit1( c_Int_OPls ) ) ) ) ),
% 0.92/1.52 c_Orderings_Oord__class_Oless( tc_RealDef_Oreal,
% 0.92/1.52 c_Groups_Ozero__class_Ozero( tc_RealDef_Oreal ), c_Transcendental_Ocos( X
% 0.92/1.52 ) ) }.
% 0.92/1.52 { ! c_Orderings_Oord__class_Oless( tc_RealDef_Oreal,
% 0.92/1.52 c_Rings_Oinverse__class_Odivide( tc_RealDef_Oreal,
% 0.92/1.52 c_Groups_Ouminus__class_Ouminus( tc_RealDef_Oreal, c_Transcendental_Opi )
% 0.92/1.52 , c_Int_Onumber__class_Onumber__of( tc_RealDef_Oreal, c_Int_OBit0(
% 0.92/1.52 c_Int_OBit1( c_Int_OPls ) ) ) ), X ), ! c_Orderings_Oord__class_Oless(
% 0.92/1.52 tc_RealDef_Oreal, X, c_Groups_Ozero__class_Ozero( tc_RealDef_Oreal ) ),
% 0.92/1.52 c_Orderings_Oord__class_Oless( tc_RealDef_Oreal, c_Transcendental_Otan( X
% 0.92/1.52 ), c_Groups_Ozero__class_Ozero( tc_RealDef_Oreal ) ) }.
% 0.92/1.52 { ! c_Transcendental_Ocos( c_Int_Onumber__class_Onumber__of(
% 0.92/1.52 tc_RealDef_Oreal, c_Int_OBit0( c_Int_OBit1( c_Int_OPls ) ) ) ) =
% 0.92/1.52 c_Groups_Ozero__class_Ozero( tc_RealDef_Oreal ) }.
% 0.92/1.52 { c_Orderings_Oord__class_Oless__eq( tc_RealDef_Oreal,
% 0.92/1.52 c_Int_Onumber__class_Onumber__of( tc_RealDef_Oreal, c_Int_OBit0(
% 0.92/1.52 c_Int_OBit1( c_Int_OPls ) ) ), c_Transcendental_Opi ) }.
% 0.92/1.52 { ! c_Orderings_Oord__class_Oless( tc_RealDef_Oreal,
% 0.92/1.52 c_Groups_Ozero__class_Ozero( tc_RealDef_Oreal ), X ), !
% 0.92/1.52 c_Orderings_Oord__class_Oless( tc_RealDef_Oreal, X,
% 0.92/1.52 c_Int_Onumber__class_Onumber__of( tc_RealDef_Oreal, c_Int_OBit0(
% 0.92/1.52 c_Int_OBit1( c_Int_OPls ) ) ) ), c_Orderings_Oord__class_Oless(
% 0.92/1.52 tc_RealDef_Oreal, c_Groups_Ozero__class_Ozero( tc_RealDef_Oreal ),
% 0.92/1.52 c_Transcendental_Osin( X ) ) }.
% 0.92/1.52 { c_Orderings_Oord__class_Oless( tc_RealDef_Oreal, c_Transcendental_Ocos(
% 0.92/1.52 c_Int_Onumber__class_Onumber__of( tc_RealDef_Oreal, c_Int_OBit0(
% 0.92/1.52 c_Int_OBit1( c_Int_OPls ) ) ) ), c_Groups_Ozero__class_Ozero(
% 0.92/1.52 tc_RealDef_Oreal ) ) }.
% 0.92/1.52 { c_Transcendental_Osin( c_Rings_Oinverse__class_Odivide( tc_RealDef_Oreal
% 0.92/1.52 , c_Transcendental_Opi, c_Int_Onumber__class_Onumber__of(
% 0.92/1.52 tc_RealDef_Oreal, c_Int_OBit0( c_Int_OBit1( c_Int_OBit1( c_Int_OPls ) ) )
% 0.92/1.52 ) ) ) = c_Rings_Oinverse__class_Odivide( tc_RealDef_Oreal,
% 0.92/1.52 c_Groups_Oone__class_Oone( tc_RealDef_Oreal ),
% 0.92/1.52 c_Int_Onumber__class_Onumber__of( tc_RealDef_Oreal, c_Int_OBit0(
% 0.92/1.52 c_Int_OBit1( c_Int_OPls ) ) ) ) }.
% 0.92/1.52 { c_Transcendental_Osin( c_Rings_Oinverse__class_Odivide( tc_RealDef_Oreal
% 0.92/1.52 , c_Transcendental_Opi, c_Int_Onumber__class_Onumber__of(
% 0.92/1.52 tc_RealDef_Oreal, c_Int_OBit0( c_Int_OBit1( c_Int_OPls ) ) ) ) ) =
% 0.92/1.52 c_Groups_Oone__class_Oone( tc_RealDef_Oreal ) }.
% 0.92/1.52 { c_Transcendental_Ocos( c_Rings_Oinverse__class_Odivide( tc_RealDef_Oreal
% 0.92/1.52 , c_Transcendental_Opi, c_Int_Onumber__class_Onumber__of(
% 0.92/1.52 tc_RealDef_Oreal, c_Int_OBit1( c_Int_OBit1( c_Int_OPls ) ) ) ) ) =
% 0.92/1.52 c_Rings_Oinverse__class_Odivide( tc_RealDef_Oreal,
% 0.92/1.52 c_Groups_Oone__class_Oone( tc_RealDef_Oreal ),
% 0.92/1.52 c_Int_Onumber__class_Onumber__of( tc_RealDef_Oreal, c_Int_OBit0(
% 0.92/1.52 c_Int_OBit1( c_Int_OPls ) ) ) ) }.
% 0.92/1.52 { c_Orderings_Oord__class_Oless__eq( tc_RealDef_Oreal,
% 0.92/1.52 c_Rings_Oinverse__class_Odivide( tc_RealDef_Oreal, c_Transcendental_Opi,
% 0.92/1.52 c_Int_Onumber__class_Onumber__of( tc_RealDef_Oreal, c_Int_OBit0(
% 0.92/1.52 c_Int_OBit1( c_Int_OPls ) ) ) ), c_Int_Onumber__class_Onumber__of(
% 0.92/1.52 tc_RealDef_Oreal, c_Int_OBit0( c_Int_OBit1( c_Int_OPls ) ) ) ) }.
% 0.92/1.52 { c_Transcendental_Otan( c_Rings_Oinverse__class_Odivide( tc_RealDef_Oreal
% 0.92/1.52 , c_Transcendental_Opi, c_Int_Onumber__class_Onumber__of(
% 0.92/1.52 tc_RealDef_Oreal, c_Int_OBit0( c_Int_OBit0( c_Int_OBit1( c_Int_OPls ) ) )
% 0.92/1.52 ) ) ) = c_Groups_Oone__class_Oone( tc_RealDef_Oreal ) }.
% 0.92/1.52 { c_Transcendental_Ocos( c_Rings_Oinverse__class_Odivide( tc_RealDef_Oreal
% 0.92/1.52 , c_Transcendental_Opi, c_Int_Onumber__class_Onumber__of(
% 0.92/1.52 tc_RealDef_Oreal, c_Int_OBit0( c_Int_OBit1( c_Int_OPls ) ) ) ) ) =
% 0.92/1.52 c_Groups_Ozero__class_Ozero( tc_RealDef_Oreal ) }.
% 0.92/1.52 { X = c_Groups_Ozero__class_Ozero( tc_Nat_Onat ),
% 0.92/1.52 c_Orderings_Oord__class_Oless( tc_Nat_Onat, c_Groups_Ozero__class_Ozero(
% 0.92/1.52 tc_Nat_Onat ), X ) }.
% 0.92/1.52 { ! c_Orderings_Oord__class_Oless( tc_Nat_Onat, Y, X ), ! X =
% 0.92/1.52 c_Groups_Ozero__class_Ozero( tc_Nat_Onat ) }.
% 0.92/1.52 { ! c_Orderings_Oord__class_Oless( tc_Nat_Onat, X,
% 0.92/1.52 c_Groups_Ozero__class_Ozero( tc_Nat_Onat ) ) }.
% 0.92/1.52 { X = c_Groups_Ozero__class_Ozero( tc_Nat_Onat ),
% 0.92/1.52 c_Orderings_Oord__class_Oless( tc_Nat_Onat, c_Groups_Ozero__class_Ozero(
% 0.92/1.52 tc_Nat_Onat ), X ) }.
% 0.92/1.52 { ! c_Orderings_Oord__class_Oless( tc_Nat_Onat, c_Groups_Ozero__class_Ozero
% 0.92/1.52 ( tc_Nat_Onat ), X ), ! X = c_Groups_Ozero__class_Ozero( tc_Nat_Onat ) }
% 0.92/1.52 .
% 0.92/1.52 { ! c_Orderings_Oord__class_Oless__eq( tc_RealDef_Oreal,
% 0.92/1.52 c_Groups_Ouminus__class_Ouminus( tc_RealDef_Oreal,
% 0.92/1.52 c_Rings_Oinverse__class_Odivide( tc_RealDef_Oreal, c_Transcendental_Opi,
% 0.92/1.52 c_Int_Onumber__class_Onumber__of( tc_RealDef_Oreal, c_Int_OBit0(
% 0.92/1.52 c_Int_OBit1( c_Int_OPls ) ) ) ) ), X ), !
% 0.92/1.52 c_Orderings_Oord__class_Oless__eq( tc_RealDef_Oreal, X,
% 0.92/1.52 c_Rings_Oinverse__class_Odivide( tc_RealDef_Oreal, c_Transcendental_Opi,
% 0.92/1.52 c_Int_Onumber__class_Onumber__of( tc_RealDef_Oreal, c_Int_OBit0(
% 0.92/1.52 c_Int_OBit1( c_Int_OPls ) ) ) ) ), c_Transcendental_Oarcsin(
% 0.92/1.52 c_Transcendental_Osin( X ) ) = X }.
% 0.92/1.52 { ! c_Orderings_Oord__class_Oless__eq( tc_RealDef_Oreal,
% 0.92/1.52 c_Groups_Ozero__class_Ozero( tc_RealDef_Oreal ), X ),
% 0.92/1.52 c_Orderings_Oord__class_Oless__eq( tc_RealDef_Oreal,
% 0.92/1.52 c_Groups_Ozero__class_Ozero( tc_RealDef_Oreal ), skol3( Y ) ) }.
% 0.92/1.52 { ! c_Orderings_Oord__class_Oless__eq( tc_RealDef_Oreal,
% 0.92/1.52 c_Groups_Ozero__class_Ozero( tc_RealDef_Oreal ), X ),
% 0.92/1.52 c_Orderings_Oord__class_Oless( tc_RealDef_Oreal, skol3( Y ),
% 0.92/1.52 c_Rings_Oinverse__class_Odivide( tc_RealDef_Oreal, c_Transcendental_Opi,
% 0.92/1.52 c_Int_Onumber__class_Onumber__of( tc_RealDef_Oreal, c_Int_OBit0(
% 0.92/1.52 c_Int_OBit1( c_Int_OPls ) ) ) ) ) }.
% 0.92/1.52 { ! c_Orderings_Oord__class_Oless__eq( tc_RealDef_Oreal,
% 0.92/1.52 c_Groups_Ozero__class_Ozero( tc_RealDef_Oreal ), X ),
% 0.92/1.52 c_Transcendental_Otan( skol3( X ) ) = X }.
% 0.92/1.52 { c_Orderings_Oord__class_Oless( tc_RealDef_Oreal,
% 0.92/1.52 c_Groups_Ouminus__class_Ouminus( tc_RealDef_Oreal,
% 0.92/1.52 c_Rings_Oinverse__class_Odivide( tc_RealDef_Oreal, c_Transcendental_Opi,
% 0.92/1.52 c_Int_Onumber__class_Onumber__of( tc_RealDef_Oreal, c_Int_OBit0(
% 0.92/1.52 c_Int_OBit1( c_Int_OPls ) ) ) ) ), skol4( Y ) ) }.
% 0.92/1.52 { c_Orderings_Oord__class_Oless( tc_RealDef_Oreal, skol4( Y ),
% 0.92/1.52 c_Rings_Oinverse__class_Odivide( tc_RealDef_Oreal, c_Transcendental_Opi,
% 0.92/1.52 c_Int_Onumber__class_Onumber__of( tc_RealDef_Oreal, c_Int_OBit0(
% 0.92/1.52 c_Int_OBit1( c_Int_OPls ) ) ) ) ) }.
% 0.92/1.52 { c_Transcendental_Otan( skol4( X ) ) = X }.
% 0.92/1.52 { ! c_Orderings_Oord__class_Oless( tc_RealDef_Oreal,
% 0.92/1.52 c_Groups_Ouminus__class_Ouminus( tc_RealDef_Oreal,
% 0.92/1.52 c_Rings_Oinverse__class_Odivide( tc_RealDef_Oreal, c_Transcendental_Opi,
% 0.92/1.52 c_Int_Onumber__class_Onumber__of( tc_RealDef_Oreal, c_Int_OBit0(
% 0.92/1.52 c_Int_OBit1( c_Int_OPls ) ) ) ) ), Y ), ! c_Orderings_Oord__class_Oless(
% 0.92/1.52 tc_RealDef_Oreal, Y, c_Rings_Oinverse__class_Odivide( tc_RealDef_Oreal,
% 0.92/1.52 c_Transcendental_Opi, c_Int_Onumber__class_Onumber__of( tc_RealDef_Oreal
% 0.92/1.52 , c_Int_OBit0( c_Int_OBit1( c_Int_OPls ) ) ) ) ), ! c_Transcendental_Otan
% 0.92/1.52 ( Y ) = X, Y = skol4( X ) }.
% 0.92/1.52 { c_Orderings_Oord__class_Oless( tc_RealDef_Oreal,
% 0.92/1.52 c_Groups_Ouminus__class_Ouminus( tc_RealDef_Oreal,
% 0.92/1.52 c_Rings_Oinverse__class_Odivide( tc_RealDef_Oreal, c_Transcendental_Opi,
% 0.92/1.52 c_Int_Onumber__class_Onumber__of( tc_RealDef_Oreal, c_Int_OBit0(
% 0.92/1.52 c_Int_OBit1( c_Int_OPls ) ) ) ) ), skol5( Y ) ) }.
% 0.92/1.52 { c_Orderings_Oord__class_Oless( tc_RealDef_Oreal, skol5( Y ),
% 0.92/1.52 c_Rings_Oinverse__class_Odivide( tc_RealDef_Oreal, c_Transcendental_Opi,
% 0.92/1.52 c_Int_Onumber__class_Onumber__of( tc_RealDef_Oreal, c_Int_OBit0(
% 0.92/1.52 c_Int_OBit1( c_Int_OPls ) ) ) ) ) }.
% 0.92/1.52 { c_Transcendental_Otan( skol5( X ) ) = X }.
% 0.92/1.52 { ! c_Orderings_Oord__class_Oless( tc_RealDef_Oreal,
% 0.92/1.52 c_Groups_Ozero__class_Ozero( tc_RealDef_Oreal ), X ),
% 0.92/1.52 c_Orderings_Oord__class_Oless( tc_RealDef_Oreal,
% 0.92/1.52 c_Groups_Ozero__class_Ozero( tc_RealDef_Oreal ), skol6( Y ) ) }.
% 0.92/1.52 { ! c_Orderings_Oord__class_Oless( tc_RealDef_Oreal,
% 0.92/1.52 c_Groups_Ozero__class_Ozero( tc_RealDef_Oreal ), X ),
% 0.92/1.52 c_Orderings_Oord__class_Oless( tc_RealDef_Oreal, skol6( Y ),
% 0.92/1.52 c_Rings_Oinverse__class_Odivide( tc_RealDef_Oreal, c_Transcendental_Opi,
% 0.92/1.52 c_Int_Onumber__class_Onumber__of( tc_RealDef_Oreal, c_Int_OBit0(
% 0.92/1.52 c_Int_OBit1( c_Int_OPls ) ) ) ) ) }.
% 0.92/1.52 { ! c_Orderings_Oord__class_Oless( tc_RealDef_Oreal,
% 0.92/1.52 c_Groups_Ozero__class_Ozero( tc_RealDef_Oreal ), X ),
% 0.92/1.52 c_Orderings_Oord__class_Oless( tc_RealDef_Oreal, X, c_Transcendental_Otan
% 0.92/1.52 ( skol6( X ) ) ) }.
% 0.92/1.52 { ! c_Orderings_Oord__class_Oless__eq( tc_RealDef_Oreal,
% 0.92/1.52 c_Groups_Ozero__class_Ozero( tc_RealDef_Oreal ),
% 0.92/1.52 c_Rings_Oinverse__class_Odivide( tc_RealDef_Oreal, Y, X ) ), alpha6( X, Y
% 0.92/1.52 ) }.
% 0.92/1.52 { ! c_Orderings_Oord__class_Oless__eq( tc_RealDef_Oreal,
% 0.92/1.52 c_Groups_Ozero__class_Ozero( tc_RealDef_Oreal ),
% 0.92/1.52 c_Rings_Oinverse__class_Odivide( tc_RealDef_Oreal, Y, X ) ), alpha35( X,
% 0.92/1.52 Y ) }.
% 0.92/1.52 { ! alpha6( X, Y ), ! alpha35( X, Y ), c_Orderings_Oord__class_Oless__eq(
% 0.92/1.52 tc_RealDef_Oreal, c_Groups_Ozero__class_Ozero( tc_RealDef_Oreal ),
% 0.92/1.52 c_Rings_Oinverse__class_Odivide( tc_RealDef_Oreal, Y, X ) ) }.
% 0.92/1.52 { ! alpha35( X, Y ), c_Orderings_Oord__class_Oless__eq( tc_RealDef_Oreal,
% 0.92/1.52 c_Groups_Ozero__class_Ozero( tc_RealDef_Oreal ), Y ),
% 0.92/1.52 c_Orderings_Oord__class_Oless__eq( tc_RealDef_Oreal, X,
% 0.92/1.52 c_Groups_Ozero__class_Ozero( tc_RealDef_Oreal ) ) }.
% 0.92/1.52 { ! c_Orderings_Oord__class_Oless__eq( tc_RealDef_Oreal,
% 0.92/1.52 c_Groups_Ozero__class_Ozero( tc_RealDef_Oreal ), Y ), alpha35( X, Y ) }.
% 0.92/1.52 { ! c_Orderings_Oord__class_Oless__eq( tc_RealDef_Oreal, X,
% 0.92/1.52 c_Groups_Ozero__class_Ozero( tc_RealDef_Oreal ) ), alpha35( X, Y ) }.
% 0.92/1.52 { ! alpha6( X, Y ), c_Orderings_Oord__class_Oless__eq( tc_RealDef_Oreal, Y
% 0.92/1.52 , c_Groups_Ozero__class_Ozero( tc_RealDef_Oreal ) ),
% 0.92/1.52 c_Orderings_Oord__class_Oless__eq( tc_RealDef_Oreal,
% 0.92/1.52 c_Groups_Ozero__class_Ozero( tc_RealDef_Oreal ), X ) }.
% 0.92/1.52 { ! c_Orderings_Oord__class_Oless__eq( tc_RealDef_Oreal, Y,
% 0.92/1.52 c_Groups_Ozero__class_Ozero( tc_RealDef_Oreal ) ), alpha6( X, Y ) }.
% 0.92/1.52 { ! c_Orderings_Oord__class_Oless__eq( tc_RealDef_Oreal,
% 0.92/1.52 c_Groups_Ozero__class_Ozero( tc_RealDef_Oreal ), X ), alpha6( X, Y ) }.
% 0.92/1.52 { ! class_Groups_Olinordered__ab__group__add( X ), !
% 0.92/1.52 c_Orderings_Oord__class_Oless( X, c_Groups_Ouminus__class_Ouminus( X, Y )
% 0.92/1.52 , Y ), c_Orderings_Oord__class_Oless( X, c_Groups_Ozero__class_Ozero( X )
% 0.92/1.52 , Y ) }.
% 0.92/1.52 { ! class_Groups_Olinordered__ab__group__add( X ), !
% 0.92/1.52 c_Orderings_Oord__class_Oless( X, c_Groups_Ozero__class_Ozero( X ), Y ),
% 0.92/1.52 c_Orderings_Oord__class_Oless( X, c_Groups_Ouminus__class_Ouminus( X, Y )
% 0.92/1.52 , Y ) }.
% 0.92/1.52 { ! class_Groups_Oordered__ab__group__add( X ), !
% 0.92/1.52 c_Orderings_Oord__class_Oless( X, c_Groups_Ouminus__class_Ouminus( X, Y )
% 0.92/1.52 , c_Groups_Ozero__class_Ozero( X ) ), c_Orderings_Oord__class_Oless( X,
% 0.92/1.52 c_Groups_Ozero__class_Ozero( X ), Y ) }.
% 0.92/1.52 { ! class_Groups_Oordered__ab__group__add( X ), !
% 0.92/1.52 c_Orderings_Oord__class_Oless( X, c_Groups_Ozero__class_Ozero( X ), Y ),
% 0.92/1.52 c_Orderings_Oord__class_Oless( X, c_Groups_Ouminus__class_Ouminus( X, Y )
% 0.92/1.52 , c_Groups_Ozero__class_Ozero( X ) ) }.
% 0.92/1.52 { ! class_Groups_Oordered__ab__group__add( X ), !
% 0.92/1.52 c_Orderings_Oord__class_Oless( X, c_Groups_Ozero__class_Ozero( X ),
% 0.92/1.52 c_Groups_Ouminus__class_Ouminus( X, Y ) ), c_Orderings_Oord__class_Oless
% 0.92/1.52 ( X, Y, c_Groups_Ozero__class_Ozero( X ) ) }.
% 0.92/1.52 { ! class_Groups_Oordered__ab__group__add( X ), !
% 0.92/1.52 c_Orderings_Oord__class_Oless( X, Y, c_Groups_Ozero__class_Ozero( X ) ),
% 0.92/1.52 c_Orderings_Oord__class_Oless( X, c_Groups_Ozero__class_Ozero( X ),
% 0.92/1.52 c_Groups_Ouminus__class_Ouminus( X, Y ) ) }.
% 0.92/1.52 { c_Orderings_Oord__class_Oless__eq( tc_Nat_Onat,
% 0.92/1.52 c_Groups_Ozero__class_Ozero( tc_Nat_Onat ), X ) }.
% 0.92/1.52 { ! class_Orderings_Oord( X ), ! c_Orderings_Oord__class_Oless( tc_fun( T,
% 0.92/1.52 X ), Z, Y ), c_Orderings_Oord__class_Oless__eq( tc_fun( T, X ), Z, Y ) }
% 0.92/1.52 .
% 0.92/1.52 { ! class_Orderings_Oord( X ), ! c_Orderings_Oord__class_Oless( tc_fun( T,
% 0.92/1.52 X ), Z, Y ), ! c_Orderings_Oord__class_Oless__eq( tc_fun( T, X ), Y, Z )
% 0.92/1.52 }.
% 0.92/1.52 { ! class_Orderings_Oord( X ), ! c_Orderings_Oord__class_Oless__eq( tc_fun
% 0.92/1.52 ( T, X ), Z, Y ), c_Orderings_Oord__class_Oless__eq( tc_fun( T, X ), Y, Z
% 0.92/1.52 ), c_Orderings_Oord__class_Oless( tc_fun( T, X ), Z, Y ) }.
% 0.92/1.52 { ! c_Orderings_Oord__class_Oless__eq( tc_Int_Oint, Y, X ), !
% 0.92/1.52 c_Orderings_Oord__class_Oless__eq( tc_Int_Oint, X, Y ), Y = X }.
% 0.92/1.52 { ! c_Orderings_Oord__class_Oless__eq( tc_Int_Oint, Y, X ), !
% 0.92/1.52 c_Orderings_Oord__class_Oless__eq( tc_Int_Oint, X, Z ),
% 0.92/1.52 c_Orderings_Oord__class_Oless__eq( tc_Int_Oint, Y, Z ) }.
% 0.92/1.52 { c_Orderings_Oord__class_Oless__eq( tc_Int_Oint, Y, X ),
% 0.92/1.52 c_Orderings_Oord__class_Oless__eq( tc_Int_Oint, X, Y ) }.
% 0.92/1.52 { c_Groups_Ouminus__class_Ouminus( tc_Int_Oint,
% 0.92/1.52 c_Groups_Ouminus__class_Ouminus( tc_Int_Oint, X ) ) = X }.
% 0.92/1.52 { c_Orderings_Oord__class_Oless__eq( tc_Int_Oint, X, X ) }.
% 0.92/1.52 { ! c_Orderings_Oord__class_Oless__eq( tc_Nat_Onat,
% 0.92/1.52 c_Int_Onumber__class_Onumber__of( tc_Nat_Onat, Y ),
% 0.92/1.52 c_Int_Onumber__class_Onumber__of( tc_Nat_Onat, X ) ),
% 0.92/1.52 c_Orderings_Oord__class_Oless__eq( tc_Int_Oint, Y, X ),
% 0.92/1.52 c_Orderings_Oord__class_Oless__eq( tc_Int_Oint, Y, c_Int_OPls ) }.
% 0.92/1.52 { ! c_Orderings_Oord__class_Oless__eq( tc_Int_Oint, Y, X ),
% 0.92/1.52 c_Orderings_Oord__class_Oless__eq( tc_Nat_Onat,
% 0.92/1.52 c_Int_Onumber__class_Onumber__of( tc_Nat_Onat, Y ),
% 0.92/1.52 c_Int_Onumber__class_Onumber__of( tc_Nat_Onat, X ) ) }.
% 0.92/1.52 { ! c_Orderings_Oord__class_Oless__eq( tc_Int_Oint, Y, c_Int_OPls ),
% 0.92/1.52 c_Orderings_Oord__class_Oless__eq( tc_Nat_Onat,
% 0.92/1.52 c_Int_Onumber__class_Onumber__of( tc_Nat_Onat, Y ),
% 0.92/1.52 c_Int_Onumber__class_Onumber__of( tc_Nat_Onat, X ) ) }.
% 0.92/1.52 { c_Groups_Ouminus__class_Ouminus( tc_Int_Oint, c_Groups_Ozero__class_Ozero
% 0.92/1.52 ( tc_Int_Oint ) ) = c_Groups_Ozero__class_Ozero( tc_Int_Oint ) }.
% 0.92/1.52 { c_Groups_Ouminus__class_Ouminus( tc_Int_Oint, c_Int_OPls ) = c_Int_OPls }
% 0.92/1.52 .
% 0.92/1.52 { c_Groups_Ouminus__class_Ouminus( tc_Int_Oint, c_Int_OBit0( X ) ) =
% 0.92/1.52 c_Int_OBit0( c_Groups_Ouminus__class_Ouminus( tc_Int_Oint, X ) ) }.
% 0.92/1.52 { c_Groups_Ouminus__class_Ouminus( tc_Int_Oint,
% 0.92/1.52 c_Int_Onumber__class_Onumber__of( tc_Int_Oint, X ) ) =
% 0.92/1.52 c_Int_Onumber__class_Onumber__of( tc_Int_Oint,
% 0.92/1.52 c_Groups_Ouminus__class_Ouminus( tc_Int_Oint, X ) ) }.
% 0.92/1.52 { c_Orderings_Oord__class_Oless__eq( tc_Nat_Onat,
% 0.92/1.52 c_Groups_Ozero__class_Ozero( tc_Nat_Onat ), X ) }.
% 0.92/1.52 { ! c_Orderings_Oord__class_Oless__eq( tc_Nat_Onat, X,
% 0.92/1.52 c_Groups_Ozero__class_Ozero( tc_Nat_Onat ) ), X =
% 0.92/1.52 c_Groups_Ozero__class_Ozero( tc_Nat_Onat ) }.
% 0.92/1.52 { ! X = c_Groups_Ozero__class_Ozero( tc_Nat_Onat ),
% 0.92/1.52 c_Orderings_Oord__class_Oless__eq( tc_Nat_Onat, X,
% 0.92/1.52 c_Groups_Ozero__class_Ozero( tc_Nat_Onat ) ) }.
% 0.92/1.52 { ! c_Orderings_Oord__class_Oless__eq( tc_Int_Oint, c_Int_OBit1( Y ),
% 0.92/1.52 c_Int_OBit1( X ) ), c_Orderings_Oord__class_Oless__eq( tc_Int_Oint, Y, X
% 0.92/1.52 ) }.
% 0.92/1.52 { ! c_Orderings_Oord__class_Oless__eq( tc_Int_Oint, Y, X ),
% 0.92/1.52 c_Orderings_Oord__class_Oless__eq( tc_Int_Oint, c_Int_OBit1( Y ),
% 0.92/1.52 c_Int_OBit1( X ) ) }.
% 0.92/1.52 { ! c_Orderings_Oord__class_Oless__eq( tc_Int_Oint, c_Int_OBit1( Y ),
% 0.92/1.52 c_Int_OBit1( X ) ), c_Orderings_Oord__class_Oless__eq( tc_Int_Oint, Y, X
% 0.92/1.52 ) }.
% 0.92/1.52 { ! c_Orderings_Oord__class_Oless__eq( tc_Int_Oint, Y, X ),
% 0.92/1.52 c_Orderings_Oord__class_Oless__eq( tc_Int_Oint, c_Int_OBit1( Y ),
% 0.92/1.52 c_Int_OBit1( X ) ) }.
% 0.92/1.52 { c_Orderings_Oord__class_Oless__eq( tc_Int_Oint, c_Int_OPls, c_Int_OPls )
% 0.92/1.52 }.
% 0.92/1.52 { ! c_Orderings_Oord__class_Oless__eq( tc_Int_Oint, c_Int_OBit0( Y ),
% 0.92/1.52 c_Int_OBit0( X ) ), c_Orderings_Oord__class_Oless__eq( tc_Int_Oint, Y, X
% 0.92/1.52 ) }.
% 0.92/1.52 { ! c_Orderings_Oord__class_Oless__eq( tc_Int_Oint, Y, X ),
% 0.92/1.52 c_Orderings_Oord__class_Oless__eq( tc_Int_Oint, c_Int_OBit0( Y ),
% 0.92/1.52 c_Int_OBit0( X ) ) }.
% 0.92/1.52 { ! c_Orderings_Oord__class_Oless__eq( tc_Int_Oint, c_Int_OBit0( Y ),
% 0.92/1.52 c_Int_OBit0( X ) ), c_Orderings_Oord__class_Oless__eq( tc_Int_Oint, Y, X
% 0.92/1.52 ) }.
% 0.92/1.52 { ! c_Orderings_Oord__class_Oless__eq( tc_Int_Oint, Y, X ),
% 0.92/1.52 c_Orderings_Oord__class_Oless__eq( tc_Int_Oint, c_Int_OBit0( Y ),
% 0.92/1.52 c_Int_OBit0( X ) ) }.
% 0.92/1.52 { ! c_Orderings_Oord__class_Oless( tc_Nat_Onat, Y, X ),
% 0.92/1.52 c_Orderings_Oord__class_Oless__eq( tc_Nat_Onat, Y, X ) }.
% 0.92/1.52 { ! c_Orderings_Oord__class_Oless( tc_Nat_Onat, Y, X ), ! Y = X }.
% 0.92/1.52 { ! c_Orderings_Oord__class_Oless__eq( tc_Nat_Onat, Y, X ), Y = X,
% 0.92/1.52 c_Orderings_Oord__class_Oless( tc_Nat_Onat, Y, X ) }.
% 0.92/1.52 { ! c_Orderings_Oord__class_Oless__eq( tc_Nat_Onat, Y, X ),
% 0.92/1.52 c_Orderings_Oord__class_Oless( tc_Nat_Onat, Y, X ), Y = X }.
% 0.92/1.52 { ! c_Orderings_Oord__class_Oless( tc_Nat_Onat, Y, X ),
% 0.92/1.52 c_Orderings_Oord__class_Oless__eq( tc_Nat_Onat, Y, X ) }.
% 0.92/1.52 { ! Y = X, c_Orderings_Oord__class_Oless__eq( tc_Nat_Onat, Y, X ) }.
% 0.92/1.52 { ! c_Orderings_Oord__class_Oless( tc_Nat_Onat, Y, X ),
% 0.92/1.52 c_Orderings_Oord__class_Oless__eq( tc_Nat_Onat, Y, X ) }.
% 0.92/1.52 { ! c_Orderings_Oord__class_Oless__eq( tc_Nat_Onat, Y, X ), Y = X,
% 0.92/1.52 c_Orderings_Oord__class_Oless( tc_Nat_Onat, Y, X ) }.
% 0.92/1.52 { ! c_Orderings_Oord__class_Oless( tc_Nat_Onat, Y, X ),
% 0.92/1.52 c_Orderings_Oord__class_Oless__eq( tc_Nat_Onat, Y, X ) }.
% 0.92/1.52 { ! Y = X, c_Orderings_Oord__class_Oless__eq( tc_Nat_Onat, Y, X ) }.
% 0.92/1.52 { ! c_Orderings_Oord__class_Oless( tc_Int_Oint, Y, X ),
% 0.92/1.52 c_Orderings_Oord__class_Oless__eq( tc_Int_Oint, Y, X ) }.
% 0.92/1.52 { ! c_Orderings_Oord__class_Oless( tc_Int_Oint, Y, X ), ! Y = X }.
% 0.92/1.52 { ! c_Orderings_Oord__class_Oless__eq( tc_Int_Oint, Y, X ), Y = X,
% 0.92/1.52 c_Orderings_Oord__class_Oless( tc_Int_Oint, Y, X ) }.
% 0.92/1.52 { ! c_Orderings_Oord__class_Oless__eq( tc_Int_Oint,
% 0.92/1.52 c_Int_Onumber__class_Onumber__of( tc_Int_Oint, Y ),
% 0.92/1.52 c_Int_Onumber__class_Onumber__of( tc_Int_Oint, X ) ),
% 0.92/1.52 c_Orderings_Oord__class_Oless__eq( tc_Int_Oint, Y, X ) }.
% 0.92/1.52 { ! c_Orderings_Oord__class_Oless__eq( tc_Int_Oint, Y, X ),
% 0.92/1.52 c_Orderings_Oord__class_Oless__eq( tc_Int_Oint,
% 0.92/1.52 c_Int_Onumber__class_Onumber__of( tc_Int_Oint, Y ),
% 0.92/1.52 c_Int_Onumber__class_Onumber__of( tc_Int_Oint, X ) ) }.
% 0.92/1.52 { ! c_Orderings_Oord__class_Oless__eq( tc_Int_Oint, c_Int_OPls, c_Int_OBit1
% 0.92/1.52 ( X ) ), c_Orderings_Oord__class_Oless__eq( tc_Int_Oint, c_Int_OPls, X )
% 0.92/1.52 }.
% 0.92/1.52 { ! c_Orderings_Oord__class_Oless__eq( tc_Int_Oint, c_Int_OPls, X ),
% 0.92/1.52 c_Orderings_Oord__class_Oless__eq( tc_Int_Oint, c_Int_OPls, c_Int_OBit1(
% 0.92/1.52 X ) ) }.
% 0.92/1.52 { ! c_Orderings_Oord__class_Oless__eq( tc_Int_Oint, c_Int_OBit0( Y ),
% 0.92/1.52 c_Int_OBit1( X ) ), c_Orderings_Oord__class_Oless__eq( tc_Int_Oint, Y, X
% 0.92/1.52 ) }.
% 0.92/1.52 { ! c_Orderings_Oord__class_Oless__eq( tc_Int_Oint, Y, X ),
% 0.92/1.52 c_Orderings_Oord__class_Oless__eq( tc_Int_Oint, c_Int_OBit0( Y ),
% 0.92/1.52 c_Int_OBit1( X ) ) }.
% 0.92/1.52 { ! c_Orderings_Oord__class_Oless__eq( tc_Int_Oint, c_Int_OBit0( Y ),
% 0.92/1.52 c_Int_OBit1( X ) ), c_Orderings_Oord__class_Oless__eq( tc_Int_Oint, Y, X
% 0.92/1.52 ) }.
% 0.92/1.52 { ! c_Orderings_Oord__class_Oless__eq( tc_Int_Oint, Y, X ),
% 0.92/1.52 c_Orderings_Oord__class_Oless__eq( tc_Int_Oint, c_Int_OBit0( Y ),
% 0.92/1.52 c_Int_OBit1( X ) ) }.
% 0.92/1.52 { ! c_Orderings_Oord__class_Oless__eq( tc_Int_Oint, c_Int_OPls, c_Int_OBit0
% 0.92/1.52 ( X ) ), c_Orderings_Oord__class_Oless__eq( tc_Int_Oint, c_Int_OPls, X )
% 0.92/1.52 }.
% 0.92/1.52 { ! c_Orderings_Oord__class_Oless__eq( tc_Int_Oint, c_Int_OPls, X ),
% 0.92/1.52 c_Orderings_Oord__class_Oless__eq( tc_Int_Oint, c_Int_OPls, c_Int_OBit0(
% 0.92/1.52 X ) ) }.
% 0.92/1.52 { ! c_Orderings_Oord__class_Oless__eq( tc_Int_Oint, c_Int_OBit0( X ),
% 0.92/1.52 c_Int_OPls ), c_Orderings_Oord__class_Oless__eq( tc_Int_Oint, X,
% 0.92/1.52 c_Int_OPls ) }.
% 0.92/1.52 { ! c_Orderings_Oord__class_Oless__eq( tc_Int_Oint, X, c_Int_OPls ),
% 0.92/1.52 c_Orderings_Oord__class_Oless__eq( tc_Int_Oint, c_Int_OBit0( X ),
% 0.92/1.52 c_Int_OPls ) }.
% 0.92/1.52 { ! c_Int_Onumber__class_Onumber__of( tc_Nat_Onat, X ) =
% 0.92/1.52 c_Groups_Ozero__class_Ozero( tc_Nat_Onat ),
% 0.92/1.52 c_Orderings_Oord__class_Oless__eq( tc_Int_Oint, X, c_Int_OPls ) }.
% 0.92/1.52 { ! c_Orderings_Oord__class_Oless__eq( tc_Int_Oint, X, c_Int_OPls ),
% 0.92/1.52 c_Int_Onumber__class_Onumber__of( tc_Nat_Onat, X ) =
% 0.92/1.52 c_Groups_Ozero__class_Ozero( tc_Nat_Onat ) }.
% 0.92/1.52 { ! c_Groups_Ozero__class_Ozero( tc_Nat_Onat ) =
% 0.92/1.52 c_Int_Onumber__class_Onumber__of( tc_Nat_Onat, X ),
% 0.92/1.52 c_Orderings_Oord__class_Oless__eq( tc_Int_Oint, X, c_Int_OPls ) }.
% 0.92/1.52 { ! c_Orderings_Oord__class_Oless__eq( tc_Int_Oint, X, c_Int_OPls ),
% 0.92/1.52 c_Groups_Ozero__class_Ozero( tc_Nat_Onat ) =
% 0.92/1.52 c_Int_Onumber__class_Onumber__of( tc_Nat_Onat, X ) }.
% 0.92/1.52 { ! class_Groups_Ozero( X ), ! c_Groups_Ozero__class_Ozero( X ) = Y, Y =
% 0.92/1.52 c_Groups_Ozero__class_Ozero( X ) }.
% 0.92/1.52 { ! class_Groups_Ozero( X ), ! Y = c_Groups_Ozero__class_Ozero( X ),
% 0.92/1.52 c_Groups_Ozero__class_Ozero( X ) = Y }.
% 0.92/1.52 { ! c_Orderings_Oord__class_Oless( tc_Int_Oint, c_Int_OPls, c_Int_OBit1( X
% 0.92/1.52 ) ), c_Orderings_Oord__class_Oless__eq( tc_Int_Oint, c_Int_OPls, X ) }.
% 0.92/1.52 { ! c_Orderings_Oord__class_Oless__eq( tc_Int_Oint, c_Int_OPls, X ),
% 0.92/1.52 c_Orderings_Oord__class_Oless( tc_Int_Oint, c_Int_OPls, c_Int_OBit1( X )
% 0.92/1.52 ) }.
% 0.92/1.52 { ! c_Orderings_Oord__class_Oless__eq( tc_Int_Oint, c_Int_OBit1( X ),
% 0.92/1.52 c_Int_OPls ), c_Orderings_Oord__class_Oless( tc_Int_Oint, X, c_Int_OPls )
% 0.92/1.52 }.
% 0.92/1.52 { ! c_Orderings_Oord__class_Oless( tc_Int_Oint, X, c_Int_OPls ),
% 0.92/1.52 c_Orderings_Oord__class_Oless__eq( tc_Int_Oint, c_Int_OBit1( X ),
% 0.92/1.52 c_Int_OPls ) }.
% 0.92/1.52 { ! c_Orderings_Oord__class_Oless( tc_Int_Oint, c_Int_OBit0( Y ),
% 0.92/1.52 c_Int_OBit1( X ) ), c_Orderings_Oord__class_Oless__eq( tc_Int_Oint, Y, X
% 0.92/1.52 ) }.
% 0.92/1.52 { ! c_Orderings_Oord__class_Oless__eq( tc_Int_Oint, Y, X ),
% 0.92/1.52 c_Orderings_Oord__class_Oless( tc_Int_Oint, c_Int_OBit0( Y ), c_Int_OBit1
% 0.92/1.52 ( X ) ) }.
% 0.92/1.52 { ! c_Orderings_Oord__class_Oless( tc_Int_Oint, c_Int_OBit0( Y ),
% 0.92/1.52 c_Int_OBit1( X ) ), c_Orderings_Oord__class_Oless__eq( tc_Int_Oint, Y, X
% 0.92/1.52 ) }.
% 0.92/1.52 { ! c_Orderings_Oord__class_Oless__eq( tc_Int_Oint, Y, X ),
% 0.92/1.52 c_Orderings_Oord__class_Oless( tc_Int_Oint, c_Int_OBit0( Y ), c_Int_OBit1
% 0.92/1.52 ( X ) ) }.
% 0.92/1.52 { ! c_Orderings_Oord__class_Oless__eq( tc_Int_Oint, c_Int_OBit1( Y ),
% 0.92/1.52 c_Int_OBit0( X ) ), c_Orderings_Oord__class_Oless( tc_Int_Oint, Y, X ) }
% 0.92/1.52 .
% 0.92/1.52 { ! c_Orderings_Oord__class_Oless( tc_Int_Oint, Y, X ),
% 0.92/1.52 c_Orderings_Oord__class_Oless__eq( tc_Int_Oint, c_Int_OBit1( Y ),
% 0.92/1.52 c_Int_OBit0( X ) ) }.
% 0.92/1.52 { ! c_Orderings_Oord__class_Oless__eq( tc_Int_Oint, c_Int_OBit1( Y ),
% 0.92/1.52 c_Int_OBit0( X ) ), c_Orderings_Oord__class_Oless( tc_Int_Oint, Y, X ) }
% 0.92/1.52 .
% 0.92/1.52 { ! c_Orderings_Oord__class_Oless( tc_Int_Oint, Y, X ),
% 0.92/1.52 c_Orderings_Oord__class_Oless__eq( tc_Int_Oint, c_Int_OBit1( Y ),
% 0.92/1.52 c_Int_OBit0( X ) ) }.
% 0.92/1.52 { ! c_Orderings_Oord__class_Oless__eq( tc_Int_Oint,
% 0.92/1.52 c_Groups_Oone__class_Oone( tc_Int_Oint ), X ),
% 0.92/1.52 c_Orderings_Oord__class_Oless( tc_Int_Oint, c_Groups_Ozero__class_Ozero(
% 0.92/1.52 tc_Int_Oint ), X ) }.
% 0.92/1.52 { ! c_Orderings_Oord__class_Oless( tc_Int_Oint, c_Groups_Ozero__class_Ozero
% 0.92/1.52 ( tc_Int_Oint ), X ), c_Orderings_Oord__class_Oless__eq( tc_Int_Oint,
% 0.92/1.52 c_Groups_Oone__class_Oone( tc_Int_Oint ), X ) }.
% 0.92/1.52 { ! class_Groups_Oone( X ), ! c_Groups_Oone__class_Oone( X ) = Y, Y =
% 0.92/1.52 c_Groups_Oone__class_Oone( X ) }.
% 0.92/1.52 { ! class_Groups_Oone( X ), ! Y = c_Groups_Oone__class_Oone( X ),
% 0.92/1.52 c_Groups_Oone__class_Oone( X ) = Y }.
% 0.92/1.52 { ! class_Groups_Ogroup__add( X ), ! c_Groups_Ouminus__class_Ouminus( X, Z
% 0.92/1.52 ) = c_Groups_Ouminus__class_Ouminus( X, Y ), Z = Y }.
% 0.92/1.52 { ! class_Groups_Ogroup__add( X ), ! Z = Y, c_Groups_Ouminus__class_Ouminus
% 0.92/1.52 ( X, Z ) = c_Groups_Ouminus__class_Ouminus( X, Y ) }.
% 0.92/1.52 { ! class_Groups_Ogroup__add( X ), ! c_Groups_Ouminus__class_Ouminus( X, Z
% 0.92/1.52 ) = Y, c_Groups_Ouminus__class_Ouminus( X, Y ) = Z }.
% 0.92/1.52 { ! class_Groups_Ogroup__add( X ), ! c_Groups_Ouminus__class_Ouminus( X, Y
% 0.92/1.52 ) = Z, c_Groups_Ouminus__class_Ouminus( X, Z ) = Y }.
% 0.92/1.52 { ! class_Groups_Ogroup__add( X ), ! Z = c_Groups_Ouminus__class_Ouminus( X
% 0.92/1.52 , Y ), Y = c_Groups_Ouminus__class_Ouminus( X, Z ) }.
% 0.92/1.52 { ! class_Groups_Ogroup__add( X ), ! Y = c_Groups_Ouminus__class_Ouminus( X
% 0.92/1.52 , Z ), Z = c_Groups_Ouminus__class_Ouminus( X, Y ) }.
% 0.92/1.52 { ! class_Groups_Ogroup__add( X ), c_Groups_Ouminus__class_Ouminus( X,
% 0.92/1.52 c_Groups_Ouminus__class_Ouminus( X, Y ) ) = Y }.
% 0.92/1.52 { ! c_Orderings_Oord__class_Oless__eq( tc_RealDef_Oreal, Y, X ), !
% 0.92/1.52 c_Orderings_Oord__class_Oless__eq( tc_RealDef_Oreal, X, Y ), Y = X }.
% 0.92/1.52 { ! c_Orderings_Oord__class_Oless__eq( tc_RealDef_Oreal, Y, X ), !
% 0.92/1.52 c_Orderings_Oord__class_Oless__eq( tc_RealDef_Oreal, X, Z ),
% 0.92/1.52 c_Orderings_Oord__class_Oless__eq( tc_RealDef_Oreal, Y, Z ) }.
% 0.92/1.52 { c_Orderings_Oord__class_Oless__eq( tc_RealDef_Oreal, Y, X ),
% 0.92/1.52 c_Orderings_Oord__class_Oless__eq( tc_RealDef_Oreal, X, Y ) }.
% 0.92/1.52 { c_Orderings_Oord__class_Oless__eq( tc_RealDef_Oreal, X, X ) }.
% 0.92/1.52 { ! class_Groups_Ogroup__add( X ), c_Groups_Ouminus__class_Ouminus( X,
% 0.92/1.52 c_Groups_Ozero__class_Ozero( X ) ) = c_Groups_Ozero__class_Ozero( X ) }.
% 0.92/1.52 { ! class_Groups_Ogroup__add( X ), ! c_Groups_Ozero__class_Ozero( X ) =
% 0.92/1.52 c_Groups_Ouminus__class_Ouminus( X, Y ), c_Groups_Ozero__class_Ozero( X )
% 0.92/1.52 = Y }.
% 0.92/1.52 { ! class_Groups_Ogroup__add( X ), ! c_Groups_Ozero__class_Ozero( X ) = Y,
% 0.92/1.52 c_Groups_Ozero__class_Ozero( X ) = c_Groups_Ouminus__class_Ouminus( X, Y
% 0.92/1.52 ) }.
% 0.92/1.52 { ! class_Groups_Olinordered__ab__group__add( X ), ! Y =
% 0.92/1.52 c_Groups_Ouminus__class_Ouminus( X, Y ), Y = c_Groups_Ozero__class_Ozero
% 0.92/1.52 ( X ) }.
% 0.92/1.52 { ! class_Groups_Olinordered__ab__group__add( X ), ! Y =
% 0.92/1.52 c_Groups_Ozero__class_Ozero( X ), Y = c_Groups_Ouminus__class_Ouminus( X
% 0.92/1.52 , Y ) }.
% 0.92/1.52 { ! class_Groups_Ogroup__add( X ), ! c_Groups_Ouminus__class_Ouminus( X, Y
% 0.92/1.52 ) = c_Groups_Ozero__class_Ozero( X ), Y = c_Groups_Ozero__class_Ozero( X
% 0.92/1.52 ) }.
% 0.92/1.52 { ! class_Groups_Ogroup__add( X ), ! Y = c_Groups_Ozero__class_Ozero( X ),
% 0.92/1.52 c_Groups_Ouminus__class_Ouminus( X, Y ) = c_Groups_Ozero__class_Ozero( X
% 0.92/1.52 ) }.
% 0.92/1.52 { ! class_Groups_Olinordered__ab__group__add( X ), !
% 0.92/1.52 c_Groups_Ouminus__class_Ouminus( X, Y ) = Y, Y =
% 0.92/1.52 c_Groups_Ozero__class_Ozero( X ) }.
% 0.92/1.52 { ! class_Groups_Olinordered__ab__group__add( X ), ! Y =
% 0.92/1.52 c_Groups_Ozero__class_Ozero( X ), c_Groups_Ouminus__class_Ouminus( X, Y )
% 0.92/1.52 = Y }.
% 0.92/1.52 { ! class_Groups_Oordered__ab__group__add( X ), !
% 0.92/1.52 c_Orderings_Oord__class_Oless__eq( X, Z, Y ),
% 0.92/1.52 c_Orderings_Oord__class_Oless__eq( X, c_Groups_Ouminus__class_Ouminus( X
% 0.92/1.52 , Y ), c_Groups_Ouminus__class_Ouminus( X, Z ) ) }.
% 0.92/1.52 { ! class_Groups_Oordered__ab__group__add( X ), !
% 0.92/1.52 c_Orderings_Oord__class_Oless__eq( X, c_Groups_Ouminus__class_Ouminus( X
% 0.92/1.52 , Z ), c_Groups_Ouminus__class_Ouminus( X, Y ) ),
% 0.92/1.52 c_Orderings_Oord__class_Oless__eq( X, Y, Z ) }.
% 0.92/1.52 { ! class_Groups_Oordered__ab__group__add( X ), !
% 0.92/1.52 c_Orderings_Oord__class_Oless__eq( X, Y, Z ),
% 0.92/1.52 c_Orderings_Oord__class_Oless__eq( X, c_Groups_Ouminus__class_Ouminus( X
% 0.92/1.52 , Z ), c_Groups_Ouminus__class_Ouminus( X, Y ) ) }.
% 0.92/1.52 { ! class_Groups_Oordered__ab__group__add( X ), !
% 0.92/1.52 c_Orderings_Oord__class_Oless__eq( X, c_Groups_Ouminus__class_Ouminus( X
% 0.92/1.52 , Z ), Y ), c_Orderings_Oord__class_Oless__eq( X,
% 0.92/1.52 c_Groups_Ouminus__class_Ouminus( X, Y ), Z ) }.
% 0.92/1.52 { ! class_Groups_Oordered__ab__group__add( X ), !
% 0.92/1.52 c_Orderings_Oord__class_Oless__eq( X, c_Groups_Ouminus__class_Ouminus( X
% 0.92/1.52 , Y ), Z ), c_Orderings_Oord__class_Oless__eq( X,
% 0.92/1.52 c_Groups_Ouminus__class_Ouminus( X, Z ), Y ) }.
% 0.92/1.52 { ! class_Groups_Oordered__ab__group__add( X ), !
% 0.92/1.52 c_Orderings_Oord__class_Oless__eq( X, Z, c_Groups_Ouminus__class_Ouminus
% 0.92/1.52 ( X, Y ) ), c_Orderings_Oord__class_Oless__eq( X, Y,
% 0.92/1.52 c_Groups_Ouminus__class_Ouminus( X, Z ) ) }.
% 0.92/1.52 { ! class_Groups_Oordered__ab__group__add( X ), !
% 0.92/1.52 c_Orderings_Oord__class_Oless__eq( X, Y, c_Groups_Ouminus__class_Ouminus
% 0.92/1.52 ( X, Z ) ), c_Orderings_Oord__class_Oless__eq( X, Z,
% 0.92/1.52 c_Groups_Ouminus__class_Ouminus( X, Y ) ) }.
% 0.92/1.52 { ! class_Groups_Oordered__ab__group__add( X ), !
% 0.92/1.52 c_Orderings_Oord__class_Oless( X, Z, c_Groups_Ouminus__class_Ouminus( X,
% 0.92/1.52 Y ) ), c_Orderings_Oord__class_Oless( X, Y,
% 0.92/1.52 c_Groups_Ouminus__class_Ouminus( X, Z ) ) }.
% 0.92/1.52 { ! class_Groups_Oordered__ab__group__add( X ), !
% 0.92/1.52 c_Orderings_Oord__class_Oless( X, Y, c_Groups_Ouminus__class_Ouminus( X,
% 0.92/1.52 Z ) ), c_Orderings_Oord__class_Oless( X, Z,
% 0.92/1.52 c_Groups_Ouminus__class_Ouminus( X, Y ) ) }.
% 0.92/1.52 { ! class_Groups_Oordered__ab__group__add( X ), !
% 0.92/1.52 c_Orderings_Oord__class_Oless( X, c_Groups_Ouminus__class_Ouminus( X, Z )
% 0.92/1.52 , Y ), c_Orderings_Oord__class_Oless( X, c_Groups_Ouminus__class_Ouminus
% 0.92/1.52 ( X, Y ), Z ) }.
% 0.92/1.52 { ! class_Groups_Oordered__ab__group__add( X ), !
% 0.92/1.52 c_Orderings_Oord__class_Oless( X, c_Groups_Ouminus__class_Ouminus( X, Y )
% 0.92/1.52 , Z ), c_Orderings_Oord__class_Oless( X, c_Groups_Ouminus__class_Ouminus
% 0.92/1.52 ( X, Z ), Y ) }.
% 0.92/1.52 { ! class_Groups_Oordered__ab__group__add( X ), !
% 0.92/1.52 c_Orderings_Oord__class_Oless( X, c_Groups_Ouminus__class_Ouminus( X, Z )
% 0.92/1.52 , c_Groups_Ouminus__class_Ouminus( X, Y ) ),
% 0.92/1.52 c_Orderings_Oord__class_Oless( X, Y, Z ) }.
% 0.92/1.52 { ! class_Groups_Oordered__ab__group__add( X ), !
% 0.92/1.52 c_Orderings_Oord__class_Oless( X, Y, Z ), c_Orderings_Oord__class_Oless(
% 0.92/1.52 X, c_Groups_Ouminus__class_Ouminus( X, Z ),
% 0.92/1.52 c_Groups_Ouminus__class_Ouminus( X, Y ) ) }.
% 0.92/1.52 { ! c_Orderings_Oord__class_Oless( tc_RealDef_Oreal, Y, X ),
% 0.92/1.52 c_Orderings_Oord__class_Oless__eq( tc_RealDef_Oreal, Y, X ) }.
% 0.92/1.52 { ! c_Orderings_Oord__class_Oless( tc_RealDef_Oreal, Y, X ), ! Y = X }.
% 0.92/1.52 { ! c_Orderings_Oord__class_Oless__eq( tc_RealDef_Oreal, Y, X ), Y = X,
% 0.92/1.52 c_Orderings_Oord__class_Oless( tc_RealDef_Oreal, Y, X ) }.
% 0.92/1.52 { ! c_Orderings_Oord__class_Oless__eq( tc_RealDef_Oreal, Y, X ),
% 0.92/1.52 c_Orderings_Oord__class_Oless( tc_RealDef_Oreal, Y, X ), Y = X }.
% 0.92/1.52 { ! c_Orderings_Oord__class_Oless( tc_RealDef_Oreal, Y, X ),
% 0.92/1.52 c_Orderings_Oord__class_Oless__eq( tc_RealDef_Oreal, Y, X ) }.
% 0.92/1.52 { ! Y = X, c_Orderings_Oord__class_Oless__eq( tc_RealDef_Oreal, Y, X ) }.
% 0.92/1.52 { ! c_Groups_Ozero__class_Ozero( tc_RealDef_Oreal ) =
% 0.92/1.52 c_Groups_Oone__class_Oone( tc_RealDef_Oreal ) }.
% 0.92/1.52 { ! class_Groups_Olinordered__ab__group__add( X ), !
% 0.92/1.52 c_Orderings_Oord__class_Oless__eq( X, c_Groups_Ouminus__class_Ouminus( X
% 0.92/1.52 , Y ), Y ), c_Orderings_Oord__class_Oless__eq( X,
% 0.92/1.52 c_Groups_Ozero__class_Ozero( X ), Y ) }.
% 0.92/1.52 { ! class_Groups_Olinordered__ab__group__add( X ), !
% 0.92/1.52 c_Orderings_Oord__class_Oless__eq( X, c_Groups_Ozero__class_Ozero( X ), Y
% 0.92/1.52 ), c_Orderings_Oord__class_Oless__eq( X, c_Groups_Ouminus__class_Ouminus
% 0.92/1.52 ( X, Y ), Y ) }.
% 0.92/1.52 { ! class_Groups_Oordered__ab__group__add( X ), !
% 0.92/1.52 c_Orderings_Oord__class_Oless__eq( X, c_Groups_Ouminus__class_Ouminus( X
% 0.92/1.52 , Y ), c_Groups_Ozero__class_Ozero( X ) ),
% 0.92/1.52 c_Orderings_Oord__class_Oless__eq( X, c_Groups_Ozero__class_Ozero( X ), Y
% 0.92/1.52 ) }.
% 0.92/1.52 { ! class_Groups_Oordered__ab__group__add( X ), !
% 0.92/1.52 c_Orderings_Oord__class_Oless__eq( X, c_Groups_Ozero__class_Ozero( X ), Y
% 0.92/1.52 ), c_Orderings_Oord__class_Oless__eq( X, c_Groups_Ouminus__class_Ouminus
% 0.92/1.52 ( X, Y ), c_Groups_Ozero__class_Ozero( X ) ) }.
% 0.92/1.52 { ! class_Groups_Olinordered__ab__group__add( X ), !
% 0.92/1.52 c_Orderings_Oord__class_Oless__eq( X, Y, c_Groups_Ouminus__class_Ouminus
% 0.92/1.52 ( X, Y ) ), c_Orderings_Oord__class_Oless__eq( X, Y,
% 0.92/1.52 c_Groups_Ozero__class_Ozero( X ) ) }.
% 0.92/1.52 { ! class_Groups_Olinordered__ab__group__add( X ), !
% 0.92/1.52 c_Orderings_Oord__class_Oless__eq( X, Y, c_Groups_Ozero__class_Ozero( X )
% 0.92/1.52 ), c_Orderings_Oord__class_Oless__eq( X, Y,
% 0.92/1.52 c_Groups_Ouminus__class_Ouminus( X, Y ) ) }.
% 0.92/1.52 { ! class_Groups_Oordered__ab__group__add( X ), !
% 0.92/1.52 c_Orderings_Oord__class_Oless__eq( X, c_Groups_Ozero__class_Ozero( X ),
% 0.92/1.52 c_Groups_Ouminus__class_Ouminus( X, Y ) ),
% 0.92/1.52 c_Orderings_Oord__class_Oless__eq( X, Y, c_Groups_Ozero__class_Ozero( X )
% 0.92/1.52 ) }.
% 0.92/1.52 { ! class_Groups_Oordered__ab__group__add( X ), !
% 0.92/1.52 c_Orderings_Oord__class_Oless__eq( X, Y, c_Groups_Ozero__class_Ozero( X )
% 0.92/1.52 ), c_Orderings_Oord__class_Oless__eq( X, c_Groups_Ozero__class_Ozero( X
% 0.92/1.52 ), c_Groups_Ouminus__class_Ouminus( X, Y ) ) }.
% 0.92/1.52 { ! c_Orderings_Oord__class_Oless__eq( tc_Int_Oint,
% 0.92/1.52 c_Groups_Ozero__class_Ozero( tc_Int_Oint ), X ), !
% 0.92/1.52 c_Orderings_Oord__class_Oless( tc_Int_Oint, X,
% 0.92/1.52 c_Int_Onumber__class_Onumber__of( tc_Int_Oint, c_Int_OBit0( c_Int_OBit1(
% 0.92/1.52 c_Int_OPls ) ) ) ), X = c_Groups_Ozero__class_Ozero( tc_Int_Oint ), X =
% 0.92/1.52 c_Groups_Oone__class_Oone( tc_Int_Oint ) }.
% 0.92/1.52 { c_Orderings_Oord__class_Oless__eq( tc_Int_Oint,
% 0.92/1.52 c_Groups_Ozero__class_Ozero( tc_Int_Oint ),
% 0.92/1.52 c_Int_Onumber__class_Onumber__of( tc_Int_Oint, c_Int_OBit0( c_Int_OBit1(
% 0.92/1.52 c_Int_OPls ) ) ) ) }.
% 0.92/1.52 { ! c_Orderings_Oord__class_Oless__eq( tc_Int_Oint,
% 0.92/1.52 c_Groups_Ozero__class_Ozero( tc_Int_Oint ),
% 0.92/1.52 c_Int_Onumber__class_Onumber__of( tc_Int_Oint, X ) ),
% 0.92/1.52 c_Orderings_Oord__class_Oless__eq( tc_Int_Oint,
% 0.92/1.52 c_Groups_Ozero__class_Ozero( tc_Int_Oint ),
% 0.92/1.52 c_Int_Onumber__class_Onumber__of( tc_Int_Oint, c_Int_OBit0( X ) ) ) }.
% 0.92/1.52 { ! c_Orderings_Oord__class_Oless__eq( tc_Int_Oint,
% 0.92/1.52 c_Groups_Ozero__class_Ozero( tc_Int_Oint ),
% 0.92/1.52 c_Int_Onumber__class_Onumber__of( tc_Int_Oint, X ) ),
% 0.92/1.52 c_Orderings_Oord__class_Oless__eq( tc_Int_Oint,
% 0.92/1.52 c_Groups_Ozero__class_Ozero( tc_Int_Oint ),
% 0.92/1.52 c_Int_Onumber__class_Onumber__of( tc_Int_Oint, c_Int_OBit1( X ) ) ) }.
% 0.92/1.52 { c_Orderings_Oord__class_Oless__eq( tc_Int_Oint,
% 0.92/1.52 c_Groups_Ozero__class_Ozero( tc_Int_Oint ),
% 0.92/1.52 c_Int_Onumber__class_Onumber__of( tc_Int_Oint, c_Int_OBit1( c_Int_OBit1(
% 0.92/1.52 c_Int_OPls ) ) ) ) }.
% 0.92/1.52 { c_Orderings_Oord__class_Oless__eq( tc_Int_Oint,
% 0.92/1.52 c_Groups_Ozero__class_Ozero( tc_Int_Oint ),
% 0.92/1.52 c_Int_Onumber__class_Onumber__of( tc_Int_Oint, c_Int_OPls ) ) }.
% 0.92/1.52 { ! c_Orderings_Oord__class_Oless__eq( tc_RealDef_Oreal,
% 0.92/1.52 c_Int_Onumber__class_Onumber__of( tc_RealDef_Oreal, c_Int_OMin ), X ), !
% 0.92/1.52 c_Orderings_Oord__class_Oless__eq( tc_RealDef_Oreal, X,
% 0.92/1.52 c_Groups_Oone__class_Oone( tc_RealDef_Oreal ) ),
% 0.92/1.52 c_Orderings_Oord__class_Oless__eq( tc_RealDef_Oreal,
% 0.92/1.52 c_Groups_Ouminus__class_Ouminus( tc_RealDef_Oreal,
% 0.92/1.52 c_Rings_Oinverse__class_Odivide( tc_RealDef_Oreal, c_Transcendental_Opi,
% 0.92/1.52 c_Int_Onumber__class_Onumber__of( tc_RealDef_Oreal, c_Int_OBit0(
% 0.92/1.52 c_Int_OBit1( c_Int_OPls ) ) ) ) ), c_Transcendental_Oarcsin( X ) ) }.
% 0.92/1.52 { ! c_Orderings_Oord__class_Oless__eq( tc_RealDef_Oreal,
% 0.92/1.52 c_Int_Onumber__class_Onumber__of( tc_RealDef_Oreal, c_Int_OMin ), X ), !
% 0.92/1.52 c_Orderings_Oord__class_Oless__eq( tc_RealDef_Oreal, X,
% 0.92/1.52 c_Groups_Oone__class_Oone( tc_RealDef_Oreal ) ),
% 0.92/1.52 c_Orderings_Oord__class_Oless__eq( tc_RealDef_Oreal,
% 0.92/1.52 c_Transcendental_Oarcsin( X ), c_Transcendental_Opi ) }.
% 0.92/1.52 { ! c_Orderings_Oord__class_Oless__eq( tc_RealDef_Oreal,
% 0.92/1.52 c_Int_Onumber__class_Onumber__of( tc_RealDef_Oreal, c_Int_OMin ), X ), !
% 0.92/1.52 c_Orderings_Oord__class_Oless__eq( tc_RealDef_Oreal, X,
% 0.92/1.52 c_Groups_Oone__class_Oone( tc_RealDef_Oreal ) ), c_Transcendental_Osin(
% 0.92/1.52 c_Transcendental_Oarcsin( X ) ) = X }.
% 0.92/1.52 { c_Orderings_Oord__class_Oless__eq( tc_Nat_Onat, X, X ) }.
% 0.92/1.52 { c_Orderings_Oord__class_Oless__eq( tc_Nat_Onat, Y, X ),
% 0.92/1.52 c_Orderings_Oord__class_Oless__eq( tc_Nat_Onat, X, Y ) }.
% 0.92/1.52 { ! Y = X, c_Orderings_Oord__class_Oless__eq( tc_Nat_Onat, Y, X ) }.
% 0.92/1.52 { ! c_Orderings_Oord__class_Oless__eq( tc_Nat_Onat, Y, X ), !
% 0.92/1.52 c_Orderings_Oord__class_Oless__eq( tc_Nat_Onat, X, Z ),
% 0.92/1.52 c_Orderings_Oord__class_Oless__eq( tc_Nat_Onat, Y, Z ) }.
% 0.92/1.52 { ! c_Orderings_Oord__class_Oless__eq( tc_Nat_Onat, Y, X ), !
% 0.92/1.52 c_Orderings_Oord__class_Oless__eq( tc_Nat_Onat, X, Y ), Y = X }.
% 0.92/1.52 { ! c_Int_OBit1( X ) = c_Int_OMin, X = c_Int_OMin }.
% 0.92/1.52 { ! X = c_Int_OMin, c_Int_OBit1( X ) = c_Int_OMin }.
% 0.92/1.52 { ! c_Int_OMin = c_Int_OBit1( X ), c_Int_OMin = X }.
% 0.92/1.52 { ! c_Int_OMin = X, c_Int_OMin = c_Int_OBit1( X ) }.
% 0.92/1.52 { c_Int_OBit1( c_Int_OMin ) = c_Int_OMin }.
% 0.92/1.52 { ! c_Int_OPls = c_Int_OMin }.
% 0.92/1.52 { ! c_Int_OMin = c_Int_OPls }.
% 0.92/1.52 { ! c_Int_OBit0( X ) = c_Int_OMin }.
% 0.92/1.52 { ! c_Int_OMin = c_Int_OBit0( X ) }.
% 0.92/1.52 { c_Orderings_Oord__class_Oless__eq( tc_Int_Oint, c_Int_OMin, c_Int_OMin )
% 0.92/1.52 }.
% 0.92/1.52 { ! c_Orderings_Oord__class_Oless( tc_Int_Oint, c_Int_OMin, c_Int_OMin ) }
% 0.92/1.52 .
% 0.92/1.52 { ! c_Orderings_Oord__class_Oless__eq( tc_Int_Oint, c_Int_OBit1( X ),
% 0.92/1.52 c_Int_OMin ), c_Orderings_Oord__class_Oless__eq( tc_Int_Oint, X,
% 0.92/1.52 c_Int_OMin ) }.
% 0.92/1.52 { ! c_Orderings_Oord__class_Oless__eq( tc_Int_Oint, X, c_Int_OMin ),
% 0.92/1.52 c_Orderings_Oord__class_Oless__eq( tc_Int_Oint, c_Int_OBit1( X ),
% 0.92/1.52 c_Int_OMin ) }.
% 0.92/1.52 { ! c_Orderings_Oord__class_Oless__eq( tc_Int_Oint, c_Int_OMin, c_Int_OBit1
% 0.92/1.52 ( X ) ), c_Orderings_Oord__class_Oless__eq( tc_Int_Oint, c_Int_OMin, X )
% 0.92/1.52 }.
% 0.92/1.52 { ! c_Orderings_Oord__class_Oless__eq( tc_Int_Oint, c_Int_OMin, X ),
% 0.92/1.52 c_Orderings_Oord__class_Oless__eq( tc_Int_Oint, c_Int_OMin, c_Int_OBit1(
% 0.92/1.52 X ) ) }.
% 0.92/1.52 { ! c_Orderings_Oord__class_Oless__eq( tc_Int_Oint, c_Int_OPls, c_Int_OMin
% 0.92/1.52 ) }.
% 0.92/1.52 { c_Orderings_Oord__class_Oless__eq( tc_Int_Oint, c_Int_OMin, c_Int_OPls )
% 0.92/1.52 }.
% 0.92/1.52 { ! c_Orderings_Oord__class_Oless__eq( tc_Int_Oint, c_Int_OBit0( X ),
% 0.92/1.52 c_Int_OMin ), c_Orderings_Oord__class_Oless__eq( tc_Int_Oint, X,
% 0.92/1.52 c_Int_OMin ) }.
% 0.92/1.52 { ! c_Orderings_Oord__class_Oless__eq( tc_Int_Oint, X, c_Int_OMin ),
% 0.92/1.52 c_Orderings_Oord__class_Oless__eq( tc_Int_Oint, c_Int_OBit0( X ),
% 0.92/1.52 c_Int_OMin ) }.
% 0.92/1.52 { ! c_Orderings_Oord__class_Oless( tc_Int_Oint, c_Int_OMin, c_Int_OBit1( X
% 0.92/1.52 ) ), c_Orderings_Oord__class_Oless( tc_Int_Oint, c_Int_OMin, X ) }.
% 0.92/1.52 { ! c_Orderings_Oord__class_Oless( tc_Int_Oint, c_Int_OMin, X ),
% 0.92/1.52 c_Orderings_Oord__class_Oless( tc_Int_Oint, c_Int_OMin, c_Int_OBit1( X )
% 0.92/1.52 ) }.
% 0.92/1.52 { ! c_Orderings_Oord__class_Oless( tc_Int_Oint, c_Int_OBit1( X ),
% 0.92/1.52 c_Int_OMin ), c_Orderings_Oord__class_Oless( tc_Int_Oint, X, c_Int_OMin )
% 0.92/1.52 }.
% 0.92/1.52 { ! c_Orderings_Oord__class_Oless( tc_Int_Oint, X, c_Int_OMin ),
% 0.92/1.52 c_Orderings_Oord__class_Oless( tc_Int_Oint, c_Int_OBit1( X ), c_Int_OMin
% 0.92/1.52 ) }.
% 0.92/1.52 { c_Orderings_Oord__class_Oless( tc_Int_Oint, c_Int_OMin,
% 0.92/1.52 c_Groups_Ozero__class_Ozero( tc_Int_Oint ) ) }.
% 0.92/1.52 { c_Orderings_Oord__class_Oless( tc_Int_Oint, c_Int_OMin, c_Int_OPls ) }.
% 0.92/1.52 { ! c_Orderings_Oord__class_Oless( tc_Int_Oint, c_Int_OPls, c_Int_OMin ) }
% 0.92/1.52 .
% 0.92/1.52 { ! c_Orderings_Oord__class_Oless( tc_Int_Oint, c_Int_OMin, c_Int_OBit0( X
% 0.92/1.52 ) ), c_Orderings_Oord__class_Oless( tc_Int_Oint, c_Int_OMin, X ) }.
% 0.92/1.52 { ! c_Orderings_Oord__class_Oless( tc_Int_Oint, c_Int_OMin, X ),
% 0.92/1.52 c_Orderings_Oord__class_Oless( tc_Int_Oint, c_Int_OMin, c_Int_OBit0( X )
% 0.92/1.52 ) }.
% 0.92/1.52 { ! c_Int_Onumber__class_Onumber__of( tc_Int_Oint, c_Int_OPls ) =
% 0.92/1.52 c_Int_Onumber__class_Onumber__of( tc_Int_Oint, c_Int_OMin ) }.
% 0.92/1.52 { c_Int_OMin = c_Groups_Ouminus__class_Ouminus( tc_Int_Oint,
% 0.92/1.52 c_Groups_Oone__class_Oone( tc_Int_Oint ) ) }.
% 0.92/1.52 { ! class_Int_Onumber__ring( X ), ! c_Int_Oiszero( X,
% 0.92/1.52 c_Int_Onumber__class_Onumber__of( X, c_Int_OMin ) ) }.
% 0.92/1.52 { ! class_Int_Onumber__ring( X ), c_Int_Onumber__class_Onumber__of( X,
% 0.92/1.52 c_Int_OMin ) = c_Groups_Ouminus__class_Ouminus( X,
% 0.92/1.52 c_Groups_Oone__class_Oone( X ) ) }.
% 0.92/1.52 { ! class_Int_Onumber__ring( X ), c_Groups_Ouminus__class_Ouminus( X,
% 0.92/1.52 c_Groups_Oone__class_Oone( X ) ) = c_Int_Onumber__class_Onumber__of( X,
% 0.92/1.52 c_Int_OMin ) }.
% 0.92/1.52 { ! class_Fields_Ofield__inverse__zero( X ), ! class_Int_Onumber__ring( X )
% 0.92/1.52 , c_Rings_Oinverse__class_Odivide( X, Y, c_Int_Onumber__class_Onumber__of
% 0.92/1.52 ( X, c_Int_OMin ) ) = c_Groups_Ouminus__class_Ouminus( X, Y ) }.
% 0.92/1.52 { ! c_Orderings_Oord__class_Oless__eq( tc_Int_Oint, c_Int_OMin, c_Int_OBit0
% 0.92/1.52 ( X ) ), c_Orderings_Oord__class_Oless( tc_Int_Oint, c_Int_OMin, X ) }.
% 0.92/1.52 { ! c_Orderings_Oord__class_Oless( tc_Int_Oint, c_Int_OMin, X ),
% 0.92/1.52 c_Orderings_Oord__class_Oless__eq( tc_Int_Oint, c_Int_OMin, c_Int_OBit0(
% 0.92/1.52 X ) ) }.
% 0.92/1.52 { ! c_Orderings_Oord__class_Oless( tc_Int_Oint, c_Int_OBit0( X ),
% 0.92/1.52 c_Int_OMin ), c_Orderings_Oord__class_Oless__eq( tc_Int_Oint, X,
% 0.92/1.52 c_Int_OMin ) }.
% 0.92/1.52 { ! c_Orderings_Oord__class_Oless__eq( tc_Int_Oint, X, c_Int_OMin ),
% 0.92/1.52 c_Orderings_Oord__class_Oless( tc_Int_Oint, c_Int_OBit0( X ), c_Int_OMin
% 0.92/1.52 ) }.
% 0.92/1.52 { c_Groups_Ouminus__class_Ouminus( tc_Int_Oint, c_Int_OMin ) = c_Int_OBit1
% 0.92/1.52 ( c_Int_OPls ) }.
% 0.92/1.52 { c_Orderings_Oord__class_Oless__eq( tc_RealDef_Oreal,
% 0.92/1.52 c_Int_Onumber__class_Onumber__of( tc_RealDef_Oreal, c_Int_OMin ),
% 0.92/1.52 c_Transcendental_Ocos( X ) ) }.
% 0.92/1.52 { c_Orderings_Oord__class_Oless__eq( tc_RealDef_Oreal,
% 0.92/1.52 c_Int_Onumber__class_Onumber__of( tc_RealDef_Oreal, c_Int_OMin ),
% 0.92/1.52 c_Transcendental_Osin( X ) ) }.
% 0.92/1.52 { c_Transcendental_Ocos( c_Transcendental_Opi ) =
% 0.92/1.52 c_Int_Onumber__class_Onumber__of( tc_RealDef_Oreal, c_Int_OMin ) }.
% 0.92/1.52 { ! class_Fields_Ofield__inverse__zero( X ), ! class_Int_Onumber__ring( X )
% 0.92/1.52 , c_Rings_Oinverse__class_Odivide( X, c_Int_Onumber__class_Onumber__of( X
% 0.92/1.52 , c_Int_OMin ), Y ) = c_Groups_Ouminus__class_Ouminus( X,
% 0.92/1.52 c_Rings_Oinverse__class_Odivide( X, c_Groups_Oone__class_Oone( X ), Y ) )
% 0.92/1.52 }.
% 0.92/1.52 { ! c_Orderings_Oord__class_Oless__eq( tc_RealDef_Oreal,
% 0.92/1.52 c_Int_Onumber__class_Onumber__of( tc_RealDef_Oreal, c_Int_OMin ), X ), !
% 0.92/1.52 c_Orderings_Oord__class_Oless__eq( tc_RealDef_Oreal, X,
% 0.92/1.52 c_Groups_Oone__class_Oone( tc_RealDef_Oreal ) ), c_Transcendental_Osin(
% 0.92/1.52 c_Transcendental_Oarcsin( X ) ) = X }.
% 0.92/1.52 { c_Orderings_Oord__class_Oless__eq( tc_Int_Oint,
% 0.92/1.52 c_Groups_Ozero__class_Ozero( tc_Int_Oint ), c_Groups_Ozero__class_Ozero(
% 0.92/1.52 tc_Int_Oint ) ) }.
% 0.92/1.52 { ! c_Orderings_Oord__class_Oless__eq( tc_RealDef_Oreal,
% 0.92/1.52 c_Int_Onumber__class_Onumber__of( tc_RealDef_Oreal, c_Int_OMin ), X ), !
% 0.92/1.52 c_Orderings_Oord__class_Oless__eq( tc_RealDef_Oreal, X,
% 0.92/1.52 c_Groups_Oone__class_Oone( tc_RealDef_Oreal ) ),
% 0.92/1.52 c_Orderings_Oord__class_Oless__eq( tc_RealDef_Oreal,
% 0.92/1.52 c_Transcendental_Oarcsin( X ), c_Rings_Oinverse__class_Odivide(
% 0.92/1.52 tc_RealDef_Oreal, c_Transcendental_Opi, c_Int_Onumber__class_Onumber__of
% 0.92/1.52 ( tc_RealDef_Oreal, c_Int_OBit0( c_Int_OBit1( c_Int_OPls ) ) ) ) ) }.
% 0.92/1.52 { ! c_Orderings_Oord__class_Oless__eq( tc_RealDef_Oreal,
% 0.92/1.52 c_Int_Onumber__class_Onumber__of( tc_RealDef_Oreal, c_Int_OMin ), X ), !
% 0.92/1.52 c_Orderings_Oord__class_Oless__eq( tc_RealDef_Oreal, X,
% 0.92/1.52 c_Groups_Oone__class_Oone( tc_RealDef_Oreal ) ),
% 0.92/1.52 c_Orderings_Oord__class_Oless__eq( tc_RealDef_Oreal,
% 0.92/1.52 c_Groups_Ouminus__class_Ouminus( tc_RealDef_Oreal,
% 0.92/1.52 c_Rings_Oinverse__class_Odivide( tc_RealDef_Oreal, c_Transcendental_Opi,
% 0.92/1.52 c_Int_Onumber__class_Onumber__of( tc_RealDef_Oreal, c_Int_OBit0(
% 0.92/1.52 c_Int_OBit1( c_Int_OPls ) ) ) ) ), c_Transcendental_Oarcsin( X ) ) }.
% 0.92/1.52 { ! c_Orderings_Oord__class_Oless__eq( tc_RealDef_Oreal,
% 0.92/1.52 c_Int_Onumber__class_Onumber__of( tc_RealDef_Oreal, c_Int_OMin ), X ), !
% 0.92/1.52 c_Orderings_Oord__class_Oless__eq( tc_RealDef_Oreal, X,
% 0.92/1.52 c_Groups_Oone__class_Oone( tc_RealDef_Oreal ) ),
% 0.92/1.52 c_Orderings_Oord__class_Oless__eq( tc_RealDef_Oreal,
% 0.92/1.52 c_Transcendental_Oarcsin( X ), c_Rings_Oinverse__class_Odivide(
% 0.92/1.52 tc_RealDef_Oreal, c_Transcendental_Opi, c_Int_Onumber__class_Onumber__of
% 0.92/1.52 ( tc_RealDef_Oreal, c_Int_OBit0( c_Int_OBit1( c_Int_OPls ) ) ) ) ) }.
% 0.92/1.52 { ! c_Orderings_Oord__class_Oless__eq( tc_RealDef_Oreal,
% 0.92/1.52 c_Int_Onumber__class_Onumber__of( tc_RealDef_Oreal, c_Int_OMin ), X ), !
% 0.92/1.52 c_Orderings_Oord__class_Oless__eq( tc_RealDef_Oreal, X,
% 0.92/1.52 c_Groups_Oone__class_Oone( tc_RealDef_Oreal ) ),
% 0.92/1.52 c_Orderings_Oord__class_Oless__eq( tc_RealDef_Oreal,
% 0.92/1.52 c_Groups_Ouminus__class_Ouminus( tc_RealDef_Oreal,
% 0.92/1.52 c_Rings_Oinverse__class_Odivide( tc_RealDef_Oreal, c_Transcendental_Opi,
% 0.92/1.52 c_Int_Onumber__class_Onumber__of( tc_RealDef_Oreal, c_Int_OBit0(
% 0.92/1.52 c_Int_OBit1( c_Int_OPls ) ) ) ) ), c_Transcendental_Oarcsin( X ) ) }.
% 0.92/1.52 { ! c_Orderings_Oord__class_Oless( tc_RealDef_Oreal,
% 0.92/1.52 c_Int_Onumber__class_Onumber__of( tc_RealDef_Oreal, c_Int_OMin ), X ), !
% 0.92/1.52 c_Orderings_Oord__class_Oless( tc_RealDef_Oreal, X,
% 0.92/1.52 c_Groups_Oone__class_Oone( tc_RealDef_Oreal ) ),
% 0.92/1.52 c_Orderings_Oord__class_Oless( tc_RealDef_Oreal,
% 0.92/1.52 c_Groups_Ouminus__class_Ouminus( tc_RealDef_Oreal,
% 0.92/1.52 c_Rings_Oinverse__class_Odivide( tc_RealDef_Oreal, c_Transcendental_Opi,
% 0.92/1.52 c_Int_Onumber__class_Onumber__of( tc_RealDef_Oreal, c_Int_OBit0(
% 0.92/1.52 c_Int_OBit1( c_Int_OPls ) ) ) ) ), c_Transcendental_Oarcsin( X ) ) }.
% 0.92/1.52 { ! c_Orderings_Oord__class_Oless( tc_RealDef_Oreal,
% 0.92/1.52 c_Int_Onumber__class_Onumber__of( tc_RealDef_Oreal, c_Int_OMin ), X ), !
% 0.92/1.52 c_Orderings_Oord__class_Oless( tc_RealDef_Oreal, X,
% 0.92/1.52 c_Groups_Oone__class_Oone( tc_RealDef_Oreal ) ),
% 0.92/1.52 c_Orderings_Oord__class_Oless( tc_RealDef_Oreal, c_Transcendental_Oarcsin
% 0.92/1.52 ( X ), c_Rings_Oinverse__class_Odivide( tc_RealDef_Oreal,
% 0.92/1.52 c_Transcendental_Opi, c_Int_Onumber__class_Onumber__of( tc_RealDef_Oreal
% 0.92/1.52 , c_Int_OBit0( c_Int_OBit1( c_Int_OPls ) ) ) ) ) }.
% 0.92/1.52 { c_Orderings_Oord__class_Oless__eq( tc_Int_Oint,
% 0.92/1.52 c_Groups_Ozero__class_Ozero( tc_Int_Oint ), c_Groups_Oone__class_Oone(
% 0.92/1.52 tc_Int_Oint ) ) }.
% 0.92/1.52 { ! c_Orderings_Oord__class_Oless__eq( tc_RealDef_Oreal,
% 0.92/1.52 c_Int_Onumber__class_Onumber__of( tc_RealDef_Oreal, c_Int_OMin ), X ), !
% 0.92/1.52 c_Orderings_Oord__class_Oless__eq( tc_RealDef_Oreal, X,
% 0.92/1.52 c_Groups_Oone__class_Oone( tc_RealDef_Oreal ) ),
% 0.92/1.52 c_Orderings_Oord__class_Oless__eq( tc_RealDef_Oreal,
% 0.92/1.52 c_Groups_Ouminus__class_Ouminus( tc_RealDef_Oreal,
% 0.92/1.52 c_Rings_Oinverse__class_Odivide( tc_RealDef_Oreal, c_Transcendental_Opi,
% 0.92/1.52 c_Int_Onumber__class_Onumber__of( tc_RealDef_Oreal, c_Int_OBit0(
% 0.92/1.52 c_Int_OBit1( c_Int_OPls ) ) ) ) ), c_Transcendental_Oarcsin( X ) ) }.
% 0.92/1.52 { ! c_Orderings_Oord__class_Oless__eq( tc_RealDef_Oreal,
% 0.92/1.52 c_Int_Onumber__class_Onumber__of( tc_RealDef_Oreal, c_Int_OMin ), X ), !
% 0.92/1.52 c_Orderings_Oord__class_Oless__eq( tc_RealDef_Oreal, X,
% 0.92/1.52 c_Groups_Oone__class_Oone( tc_RealDef_Oreal ) ),
% 0.92/1.52 c_Orderings_Oord__class_Oless__eq( tc_RealDef_Oreal,
% 0.92/1.52 c_Transcendental_Oarcsin( X ), c_Rings_Oinverse__class_Odivide(
% 0.92/1.52 tc_RealDef_Oreal, c_Transcendental_Opi, c_Int_Onumber__class_Onumber__of
% 0.92/1.52 ( tc_RealDef_Oreal, c_Int_OBit0( c_Int_OBit1( c_Int_OPls ) ) ) ) ) }.
% 0.92/1.52 { ! c_Orderings_Oord__class_Oless__eq( tc_RealDef_Oreal,
% 0.92/1.52 c_Int_Onumber__class_Onumber__of( tc_RealDef_Oreal, c_Int_OMin ), X ), !
% 0.92/1.52 c_Orderings_Oord__class_Oless__eq( tc_RealDef_Oreal, X,
% 0.92/1.52 c_Groups_Oone__class_Oone( tc_RealDef_Oreal ) ), c_Transcendental_Osin(
% 0.92/1.52 c_Transcendental_Oarcsin( X ) ) = X }.
% 0.92/1.52 { ! c_Orderings_Oord__class_Oless__eq( tc_RealDef_Oreal,
% 0.92/1.52 c_Int_Onumber__class_Onumber__of( tc_RealDef_Oreal, c_Int_OMin ), X ), !
% 0.92/1.52 c_Orderings_Oord__class_Oless__eq( tc_RealDef_Oreal, X,
% 0.92/1.52 c_Groups_Oone__class_Oone( tc_RealDef_Oreal ) ), alpha105( skol7( Y ) ) }
% 0.92/1.52 .
% 0.92/1.52 { ! c_Orderings_Oord__class_Oless__eq( tc_RealDef_Oreal,
% 0.92/1.52 c_Int_Onumber__class_Onumber__of( tc_RealDef_Oreal, c_Int_OMin ), X ), !
% 0.92/1.52 c_Orderings_Oord__class_Oless__eq( tc_RealDef_Oreal, X,
% 0.92/1.52 c_Groups_Oone__class_Oone( tc_RealDef_Oreal ) ), c_Transcendental_Osin(
% 0.92/1.52 skol7( X ) ) = X }.
% 0.92/1.52 { ! c_Orderings_Oord__class_Oless__eq( tc_RealDef_Oreal,
% 0.92/1.52 c_Int_Onumber__class_Onumber__of( tc_RealDef_Oreal, c_Int_OMin ), X ), !
% 0.92/1.52 c_Orderings_Oord__class_Oless__eq( tc_RealDef_Oreal, X,
% 0.92/1.52 c_Groups_Oone__class_Oone( tc_RealDef_Oreal ) ), !
% 0.92/1.52 c_Orderings_Oord__class_Oless__eq( tc_RealDef_Oreal,
% 0.92/1.52 c_Groups_Ouminus__class_Ouminus( tc_RealDef_Oreal,
% 0.92/1.52 c_Rings_Oinverse__class_Odivide( tc_RealDef_Oreal, c_Transcendental_Opi,
% 0.92/1.52 c_Int_Onumber__class_Onumber__of( tc_RealDef_Oreal, c_Int_OBit0(
% 0.92/1.52 c_Int_OBit1( c_Int_OPls ) ) ) ) ), Y ), !
% 0.92/1.52 c_Orderings_Oord__class_Oless__eq( tc_RealDef_Oreal, Y,
% 0.92/1.52 c_Rings_Oinverse__class_Odivide( tc_RealDef_Oreal, c_Transcendental_Opi,
% 0.92/1.52 c_Int_Onumber__class_Onumber__of( tc_RealDef_Oreal, c_Int_OBit0(
% 0.92/1.52 c_Int_OBit1( c_Int_OPls ) ) ) ) ), ! c_Transcendental_Osin( Y ) = X, Y =
% 0.92/1.52 skol7( X ) }.
% 0.92/1.52 { ! alpha105( X ), c_Orderings_Oord__class_Oless__eq( tc_RealDef_Oreal,
% 0.92/1.52 c_Groups_Ouminus__class_Ouminus( tc_RealDef_Oreal,
% 0.92/1.52 c_Rings_Oinverse__class_Odivide( tc_RealDef_Oreal, c_Transcendental_Opi,
% 0.92/1.52 c_Int_Onumber__class_Onumber__of( tc_RealDef_Oreal, c_Int_OBit0(
% 0.92/1.52 c_Int_OBit1( c_Int_OPls ) ) ) ) ), X ) }.
% 0.92/1.52 { ! alpha105( X ), c_Orderings_Oord__class_Oless__eq( tc_RealDef_Oreal, X,
% 0.92/1.52 c_Rings_Oinverse__class_Odivide( tc_RealDef_Oreal, c_Transcendental_Opi,
% 0.92/1.52 c_Int_Onumber__class_Onumber__of( tc_RealDef_Oreal, c_Int_OBit0(
% 0.92/1.52 c_Int_OBit1( c_Int_OPls ) ) ) ) ) }.
% 0.92/1.52 { ! c_Orderings_Oord__class_Oless__eq( tc_RealDef_Oreal,
% 0.92/1.52 c_Groups_Ouminus__class_Ouminus( tc_RealDef_Oreal,
% 0.92/1.52 c_Rings_Oinverse__class_Odivide( tc_RealDef_Oreal, c_Transcendental_Opi,
% 0.92/1.52 c_Int_Onumber__class_Onumber__of( tc_RealDef_Oreal, c_Int_OBit0(
% 0.92/1.52 c_Int_OBit1( c_Int_OPls ) ) ) ) ), X ), !
% 0.92/1.52 c_Orderings_Oord__class_Oless__eq( tc_RealDef_Oreal, X,
% 0.92/1.52 c_Rings_Oinverse__class_Odivide( tc_RealDef_Oreal, c_Transcendental_Opi,
% 0.92/1.52 c_Int_Onumber__class_Onumber__of( tc_RealDef_Oreal, c_Int_OBit0(
% 0.92/1.52 c_Int_OBit1( c_Int_OPls ) ) ) ) ), alpha105( X ) }.
% 0.92/1.52 { ! c_Orderings_Oord__class_Oless__eq( tc_RealDef_Oreal,
% 0.92/1.52 c_Int_Onumber__class_Onumber__of( tc_RealDef_Oreal, c_Int_OMin ), X ), !
% 0.92/1.52 c_Orderings_Oord__class_Oless__eq( tc_RealDef_Oreal, X,
% 0.92/1.52 c_Groups_Oone__class_Oone( tc_RealDef_Oreal ) ),
% 0.92/1.52 c_Orderings_Oord__class_Oless__eq( tc_RealDef_Oreal,
% 0.92/1.52 c_Groups_Ozero__class_Ozero( tc_RealDef_Oreal ), c_Transcendental_Oarccos
% 0.92/1.52 ( X ) ) }.
% 0.92/1.52 { ! c_Orderings_Oord__class_Oless__eq( tc_RealDef_Oreal,
% 0.92/1.52 c_Int_Onumber__class_Onumber__of( tc_RealDef_Oreal, c_Int_OMin ), X ), !
% 0.92/1.52 c_Orderings_Oord__class_Oless__eq( tc_RealDef_Oreal, X,
% 0.92/1.52 c_Groups_Oone__class_Oone( tc_RealDef_Oreal ) ),
% 0.92/1.52 c_Orderings_Oord__class_Oless__eq( tc_RealDef_Oreal,
% 0.92/1.52 c_Transcendental_Oarccos( X ), c_Transcendental_Opi ) }.
% 0.92/1.52 { ! c_Orderings_Oord__class_Oless__eq( tc_RealDef_Oreal,
% 0.92/1.52 c_Int_Onumber__class_Onumber__of( tc_RealDef_Oreal, c_Int_OMin ), X ), !
% 0.92/1.52 c_Orderings_Oord__class_Oless__eq( tc_RealDef_Oreal, X,
% 0.92/1.52 c_Groups_Oone__class_Oone( tc_RealDef_Oreal ) ), c_Transcendental_Ocos(
% 0.92/1.52 c_Transcendental_Oarccos( X ) ) = X }.
% 0.92/1.52 { c_Transcendental_Osin( c_Groups_Otimes__class_Otimes( tc_RealDef_Oreal,
% 0.92/1.52 c_Rings_Oinverse__class_Odivide( tc_RealDef_Oreal,
% 0.92/1.52 c_Int_Onumber__class_Onumber__of( tc_RealDef_Oreal, c_Int_OBit1(
% 0.92/1.52 c_Int_OBit1( c_Int_OPls ) ) ), c_Int_Onumber__class_Onumber__of(
% 0.92/1.52 tc_RealDef_Oreal, c_Int_OBit0( c_Int_OBit1( c_Int_OPls ) ) ) ),
% 0.92/1.52 c_Transcendental_Opi ) ) = c_Groups_Ouminus__class_Ouminus(
% 0.92/1.52 tc_RealDef_Oreal, c_Groups_Oone__class_Oone( tc_RealDef_Oreal ) ) }.
% 0.92/1.52 { c_Groups_Ouminus__class_Ouminus( tc_RealDef_Oreal, c_Transcendental_Osin
% 0.92/1.52 ( X ) ) = c_Transcendental_Ocos( c_Groups_Oplus__class_Oplus(
% 0.92/1.52 tc_RealDef_Oreal, X, c_Rings_Oinverse__class_Odivide( tc_RealDef_Oreal,
% 0.92/1.52 c_Transcendental_Opi, c_Int_Onumber__class_Onumber__of( tc_RealDef_Oreal
% 0.92/1.52 , c_Int_OBit0( c_Int_OBit1( c_Int_OPls ) ) ) ) ) ) }.
% 0.92/1.52 { ! c_Orderings_Oord__class_Oless__eq( tc_RealDef_Oreal,
% 0.92/1.52 c_Int_Onumber__class_Onumber__of( tc_RealDef_Oreal, c_Int_OMin ), X ), !
% 0.92/1.52 c_Orderings_Oord__class_Oless__eq( tc_RealDef_Oreal, X,
% 0.92/1.52 c_Groups_Oone__class_Oone( tc_RealDef_Oreal ) ), alpha106( skol8( Y ) ) }
% 0.92/1.52 .
% 0.92/1.52 { ! c_Orderings_Oord__class_Oless__eq( tc_RealDef_Oreal,
% 0.92/1.52 c_Int_Onumber__class_Onumber__of( tc_RealDef_Oreal, c_Int_OMin ), X ), !
% 0.92/1.52 c_Orderings_Oord__class_Oless__eq( tc_RealDef_Oreal, X,
% 0.92/1.52 c_Groups_Oone__class_Oone( tc_RealDef_Oreal ) ), c_Transcendental_Ocos(
% 0.92/1.52 skol8( X ) ) = X }.
% 0.92/1.52 { ! c_Orderings_Oord__class_Oless__eq( tc_RealDef_Oreal,
% 0.92/1.52 c_Int_Onumber__class_Onumber__of( tc_RealDef_Oreal, c_Int_OMin ), X ), !
% 0.92/1.52 c_Orderings_Oord__class_Oless__eq( tc_RealDef_Oreal, X,
% 0.92/1.52 c_Groups_Oone__class_Oone( tc_RealDef_Oreal ) ), !
% 0.92/1.52 c_Orderings_Oord__class_Oless__eq( tc_RealDef_Oreal,
% 0.92/1.52 c_Groups_Ozero__class_Ozero( tc_RealDef_Oreal ), Y ), !
% 0.92/1.52 c_Orderings_Oord__class_Oless__eq( tc_RealDef_Oreal, Y,
% 0.92/1.52 c_Transcendental_Opi ), ! c_Transcendental_Ocos( Y ) = X, Y = skol8( X )
% 0.92/1.52 }.
% 0.92/1.52 { ! alpha106( X ), c_Orderings_Oord__class_Oless__eq( tc_RealDef_Oreal,
% 0.92/1.52 c_Groups_Ozero__class_Ozero( tc_RealDef_Oreal ), X ) }.
% 0.92/1.52 { ! alpha106( X ), c_Orderings_Oord__class_Oless__eq( tc_RealDef_Oreal, X,
% 0.92/1.52 c_Transcendental_Opi ) }.
% 0.92/1.52 { ! c_Orderings_Oord__class_Oless__eq( tc_RealDef_Oreal,
% 0.92/1.52 c_Groups_Ozero__class_Ozero( tc_RealDef_Oreal ), X ), !
% 0.92/1.52 c_Orderings_Oord__class_Oless__eq( tc_RealDef_Oreal, X,
% 0.92/1.52 c_Transcendental_Opi ), alpha106( X ) }.
% 0.92/1.52 { ! class_Rings_Olinordered__ring__strict( X ), !
% 0.92/1.52 c_Orderings_Oord__class_Oless__eq( X, c_Groups_Oplus__class_Oplus( X,
% 0.92/1.52 c_Groups_Otimes__class_Otimes( X, Z, Z ), c_Groups_Otimes__class_Otimes(
% 0.92/1.52 X, Y, Y ) ), c_Groups_Ozero__class_Ozero( X ) ), Z =
% 0.92/1.52 c_Groups_Ozero__class_Ozero( X ) }.
% 0.92/1.52 { ! class_Rings_Olinordered__ring__strict( X ), !
% 0.92/1.52 c_Orderings_Oord__class_Oless__eq( X, c_Groups_Oplus__class_Oplus( X,
% 0.92/1.52 c_Groups_Otimes__class_Otimes( X, Z, Z ), c_Groups_Otimes__class_Otimes(
% 0.92/1.52 X, Y, Y ) ), c_Groups_Ozero__class_Ozero( X ) ), Y =
% 0.92/1.52 c_Groups_Ozero__class_Ozero( X ) }.
% 0.92/1.52 { ! class_Rings_Olinordered__ring__strict( X ), ! Z =
% 0.92/1.52 c_Groups_Ozero__class_Ozero( X ), ! Y = c_Groups_Ozero__class_Ozero( X )
% 0.92/1.52 , c_Orderings_Oord__class_Oless__eq( X, c_Groups_Oplus__class_Oplus( X,
% 0.92/1.52 c_Groups_Otimes__class_Otimes( X, Z, Z ), c_Groups_Otimes__class_Otimes(
% 0.92/1.52 X, Y, Y ) ), c_Groups_Ozero__class_Ozero( X ) ) }.
% 0.92/1.52 { ! class_Rings_Olinordered__ring( X ), c_Orderings_Oord__class_Oless__eq(
% 0.92/1.52 X, c_Groups_Ozero__class_Ozero( X ), c_Groups_Oplus__class_Oplus( X,
% 0.92/1.52 c_Groups_Otimes__class_Otimes( X, Z, Z ), c_Groups_Otimes__class_Otimes(
% 0.92/1.52 X, Y, Y ) ) ) }.
% 0.92/1.52 { ! class_Rings_Olinordered__ring( X ), ! c_Orderings_Oord__class_Oless( X
% 0.92/1.52 , c_Groups_Oplus__class_Oplus( X, c_Groups_Otimes__class_Otimes( X, Z, Z
% 0.92/1.52 ), c_Groups_Otimes__class_Otimes( X, Y, Y ) ),
% 0.92/1.52 c_Groups_Ozero__class_Ozero( X ) ) }.
% 0.92/1.52 { ! class_Rings_Olinordered__ring__strict( X ), !
% 0.92/1.52 c_Orderings_Oord__class_Oless( X, c_Groups_Ozero__class_Ozero( X ),
% 0.92/1.52 c_Groups_Oplus__class_Oplus( X, c_Groups_Otimes__class_Otimes( X, Z, Z )
% 0.92/1.52 , c_Groups_Otimes__class_Otimes( X, Y, Y ) ) ), ! Z =
% 0.92/1.52 c_Groups_Ozero__class_Ozero( X ), ! Y = c_Groups_Ozero__class_Ozero( X )
% 0.92/1.52 }.
% 0.92/1.52 { ! class_Rings_Olinordered__ring__strict( X ), Z =
% 0.92/1.52 c_Groups_Ozero__class_Ozero( X ), c_Orderings_Oord__class_Oless( X,
% 0.92/1.52 c_Groups_Ozero__class_Ozero( X ), c_Groups_Oplus__class_Oplus( X,
% 0.92/1.52 c_Groups_Otimes__class_Otimes( X, Z, Z ), c_Groups_Otimes__class_Otimes(
% 0.92/1.52 X, Y, Y ) ) ) }.
% 0.92/1.52 { ! class_Rings_Olinordered__ring__strict( X ), Y =
% 0.92/1.52 c_Groups_Ozero__class_Ozero( X ), c_Orderings_Oord__class_Oless( X,
% 0.92/1.52 c_Groups_Ozero__class_Ozero( X ), c_Groups_Oplus__class_Oplus( X,
% 0.92/1.52 c_Groups_Otimes__class_Otimes( X, Z, Z ), c_Groups_Otimes__class_Otimes(
% 0.92/1.52 X, Y, Y ) ) ) }.
% 0.92/1.52 { ! class_Fields_Ofield( X ), Y = c_Groups_Ozero__class_Ozero( X ), Z =
% 0.92/1.52 c_Groups_Ozero__class_Ozero( X ), c_Groups_Oplus__class_Oplus( X,
% 0.92/1.52 c_Rings_Oinverse__class_Odivide( X, U, Y ),
% 0.92/1.52 c_Rings_Oinverse__class_Odivide( X, T, Z ) ) =
% 0.92/1.52 c_Rings_Oinverse__class_Odivide( X, c_Groups_Oplus__class_Oplus( X,
% 0.92/1.52 c_Groups_Otimes__class_Otimes( X, U, Z ), c_Groups_Otimes__class_Otimes(
% 0.92/1.52 X, T, Y ) ), c_Groups_Otimes__class_Otimes( X, Y, Z ) ) }.
% 0.92/1.52 { ! class_Fields_Ofield( X ), Y = c_Groups_Ozero__class_Ozero( X ),
% 0.92/1.52 c_Groups_Oplus__class_Oplus( X, c_Rings_Oinverse__class_Odivide( X, T, Y
% 0.92/1.52 ), Z ) = c_Rings_Oinverse__class_Odivide( X, c_Groups_Oplus__class_Oplus
% 0.92/1.52 ( X, T, c_Groups_Otimes__class_Otimes( X, Y, Z ) ), Y ) }.
% 0.92/1.52 { ! class_Fields_Ofield__inverse__zero( X ), Y =
% 0.92/1.52 c_Groups_Ozero__class_Ozero( X ), c_Groups_Oplus__class_Oplus( X,
% 0.92/1.52 c_Rings_Oinverse__class_Odivide( X, T, Y ), Z ) =
% 0.92/1.52 c_Rings_Oinverse__class_Odivide( X, c_Groups_Oplus__class_Oplus( X, T,
% 0.92/1.52 c_Groups_Otimes__class_Otimes( X, Z, Y ) ), Y ) }.
% 0.92/1.52 { ! class_Fields_Ofield( X ), Y = c_Groups_Ozero__class_Ozero( X ),
% 0.92/1.52 c_Groups_Oplus__class_Oplus( X, T, c_Rings_Oinverse__class_Odivide( X, Z
% 0.92/1.52 , Y ) ) = c_Rings_Oinverse__class_Odivide( X, c_Groups_Oplus__class_Oplus
% 0.92/1.52 ( X, c_Groups_Otimes__class_Otimes( X, Y, T ), Z ), Y ) }.
% 0.92/1.52 { ! class_Fields_Ofield__inverse__zero( X ), Y =
% 0.92/1.52 c_Groups_Ozero__class_Ozero( X ), c_Groups_Oplus__class_Oplus( X, T,
% 0.92/1.52 c_Rings_Oinverse__class_Odivide( X, Z, Y ) ) =
% 0.92/1.52 c_Rings_Oinverse__class_Odivide( X, c_Groups_Oplus__class_Oplus( X, Z,
% 0.92/1.52 c_Groups_Otimes__class_Otimes( X, T, Y ) ), Y ) }.
% 0.92/1.52 { c_Transcendental_Osin( c_Groups_Oplus__class_Oplus( tc_RealDef_Oreal, Y,
% 0.92/1.52 X ) ) = c_Groups_Oplus__class_Oplus( tc_RealDef_Oreal,
% 0.92/1.52 c_Groups_Otimes__class_Otimes( tc_RealDef_Oreal, c_Transcendental_Osin( Y
% 0.92/1.52 ), c_Transcendental_Ocos( X ) ), c_Groups_Otimes__class_Otimes(
% 0.92/1.52 tc_RealDef_Oreal, c_Transcendental_Ocos( Y ), c_Transcendental_Osin( X )
% 0.92/1.52 ) ) }.
% 0.92/1.52 { ! class_Groups_Olinordered__ab__group__add( X ), !
% 0.92/1.52 c_Groups_Oplus__class_Oplus( X, Y, Y ) = c_Groups_Ozero__class_Ozero( X )
% 0.92/1.52 , Y = c_Groups_Ozero__class_Ozero( X ) }.
% 0.92/1.52 { ! class_Groups_Olinordered__ab__group__add( X ), ! Y =
% 0.92/1.52 c_Groups_Ozero__class_Ozero( X ), c_Groups_Oplus__class_Oplus( X, Y, Y )
% 0.92/1.52 = c_Groups_Ozero__class_Ozero( X ) }.
% 0.92/1.52 { ! class_Groups_Omonoid__add( X ), c_Groups_Oplus__class_Oplus( X,
% 0.92/1.52 c_Groups_Ozero__class_Ozero( X ), Y ) = Y }.
% 0.92/1.52 { ! class_Groups_Ocomm__monoid__add( X ), c_Groups_Oplus__class_Oplus( X,
% 0.92/1.52 c_Groups_Ozero__class_Ozero( X ), Y ) = Y }.
% 0.92/1.52 { ! class_Groups_Olinordered__ab__group__add( X ), !
% 0.92/1.52 c_Groups_Ozero__class_Ozero( X ) = c_Groups_Oplus__class_Oplus( X, Y, Y )
% 0.92/1.52 , Y = c_Groups_Ozero__class_Ozero( X ) }.
% 0.92/1.52 { ! class_Groups_Olinordered__ab__group__add( X ), ! Y =
% 0.92/1.52 c_Groups_Ozero__class_Ozero( X ), c_Groups_Ozero__class_Ozero( X ) =
% 0.92/1.52 c_Groups_Oplus__class_Oplus( X, Y, Y ) }.
% 0.92/1.52 { ! class_Groups_Omonoid__add( X ), c_Groups_Oplus__class_Oplus( X, Y,
% 0.92/1.52 c_Groups_Ozero__class_Ozero( X ) ) = Y }.
% 0.92/1.52 { ! class_Groups_Ocomm__monoid__add( X ), c_Groups_Oplus__class_Oplus( X, Y
% 0.92/1.52 , c_Groups_Ozero__class_Ozero( X ) ) = Y }.
% 0.92/1.52 { ! class_Groups_Oordered__ab__semigroup__add__imp__le( X ), !
% 0.92/1.52 c_Orderings_Oord__class_Oless__eq( X, c_Groups_Oplus__class_Oplus( X, T,
% 0.92/1.52 Z ), c_Groups_Oplus__class_Oplus( X, T, Y ) ),
% 0.92/1.52 c_Orderings_Oord__class_Oless__eq( X, Z, Y ) }.
% 0.92/1.52 { ! class_Groups_Oordered__ab__semigroup__add__imp__le( X ), !
% 0.92/1.52 c_Orderings_Oord__class_Oless__eq( X, c_Groups_Oplus__class_Oplus( X, Z,
% 0.92/1.52 T ), c_Groups_Oplus__class_Oplus( X, Y, T ) ),
% 0.92/1.52 c_Orderings_Oord__class_Oless__eq( X, Z, Y ) }.
% 0.92/1.52 { ! class_Groups_Oordered__ab__semigroup__add( X ), !
% 0.92/1.52 c_Orderings_Oord__class_Oless__eq( X, Z, Y ), !
% 0.92/1.52 c_Orderings_Oord__class_Oless__eq( X, U, T ),
% 0.92/1.52 c_Orderings_Oord__class_Oless__eq( X, c_Groups_Oplus__class_Oplus( X, Z,
% 0.92/1.52 U ), c_Groups_Oplus__class_Oplus( X, Y, T ) ) }.
% 0.92/1.52 { ! class_Groups_Oordered__ab__semigroup__add( X ), !
% 0.92/1.52 c_Orderings_Oord__class_Oless__eq( X, Z, Y ),
% 0.92/1.52 c_Orderings_Oord__class_Oless__eq( X, c_Groups_Oplus__class_Oplus( X, T,
% 0.92/1.52 Z ), c_Groups_Oplus__class_Oplus( X, T, Y ) ) }.
% 0.92/1.52 { ! class_Groups_Oordered__ab__semigroup__add( X ), !
% 0.92/1.52 c_Orderings_Oord__class_Oless__eq( X, Z, Y ),
% 0.92/1.52 c_Orderings_Oord__class_Oless__eq( X, c_Groups_Oplus__class_Oplus( X, Z,
% 0.92/1.52 T ), c_Groups_Oplus__class_Oplus( X, Y, T ) ) }.
% 0.92/1.52 { ! class_Groups_Oordered__ab__semigroup__add__imp__le( X ), !
% 0.92/1.52 c_Orderings_Oord__class_Oless__eq( X, c_Groups_Oplus__class_Oplus( X, T,
% 0.92/1.52 Z ), c_Groups_Oplus__class_Oplus( X, T, Y ) ),
% 0.92/1.52 c_Orderings_Oord__class_Oless__eq( X, Z, Y ) }.
% 0.92/1.52 { ! class_Groups_Oordered__ab__semigroup__add__imp__le( X ), !
% 0.92/1.52 c_Orderings_Oord__class_Oless__eq( X, Z, Y ),
% 0.92/1.52 c_Orderings_Oord__class_Oless__eq( X, c_Groups_Oplus__class_Oplus( X, T,
% 0.92/1.52 Z ), c_Groups_Oplus__class_Oplus( X, T, Y ) ) }.
% 0.92/1.52 { ! class_Groups_Oordered__ab__semigroup__add__imp__le( X ), !
% 0.92/1.52 c_Orderings_Oord__class_Oless__eq( X, c_Groups_Oplus__class_Oplus( X, T,
% 0.92/1.52 Z ), c_Groups_Oplus__class_Oplus( X, Y, Z ) ),
% 0.92/1.52 c_Orderings_Oord__class_Oless__eq( X, T, Y ) }.
% 0.92/1.52 { ! class_Groups_Oordered__ab__semigroup__add__imp__le( X ), !
% 0.92/1.52 c_Orderings_Oord__class_Oless__eq( X, T, Y ),
% 0.92/1.52 c_Orderings_Oord__class_Oless__eq( X, c_Groups_Oplus__class_Oplus( X, T,
% 0.92/1.52 Z ), c_Groups_Oplus__class_Oplus( X, Y, Z ) ) }.
% 0.92/1.52 { ! class_Groups_Oordered__ab__semigroup__add__imp__le( X ), !
% 0.92/1.52 c_Orderings_Oord__class_Oless( X, c_Groups_Oplus__class_Oplus( X, T, Z )
% 0.92/1.52 , c_Groups_Oplus__class_Oplus( X, Y, Z ) ), c_Orderings_Oord__class_Oless
% 0.92/1.52 ( X, T, Y ) }.
% 0.92/1.52 { ! class_Groups_Oordered__ab__semigroup__add__imp__le( X ), !
% 0.92/1.52 c_Orderings_Oord__class_Oless( X, T, Y ), c_Orderings_Oord__class_Oless(
% 0.92/1.52 X, c_Groups_Oplus__class_Oplus( X, T, Z ), c_Groups_Oplus__class_Oplus( X
% 0.92/1.52 , Y, Z ) ) }.
% 0.92/1.52 { ! class_Groups_Oordered__ab__semigroup__add__imp__le( X ), !
% 0.92/1.52 c_Orderings_Oord__class_Oless( X, c_Groups_Oplus__class_Oplus( X, T, Z )
% 0.92/1.52 , c_Groups_Oplus__class_Oplus( X, T, Y ) ), c_Orderings_Oord__class_Oless
% 0.92/1.52 ( X, Z, Y ) }.
% 0.92/1.52 { ! class_Groups_Oordered__ab__semigroup__add__imp__le( X ), !
% 0.92/1.52 c_Orderings_Oord__class_Oless( X, Z, Y ), c_Orderings_Oord__class_Oless(
% 0.92/1.52 X, c_Groups_Oplus__class_Oplus( X, T, Z ), c_Groups_Oplus__class_Oplus( X
% 0.92/1.52 , T, Y ) ) }.
% 0.92/1.52 { ! class_Groups_Oordered__cancel__ab__semigroup__add( X ), !
% 0.92/1.52 c_Orderings_Oord__class_Oless( X, Z, Y ), c_Orderings_Oord__class_Oless(
% 0.92/1.52 X, c_Groups_Oplus__class_Oplus( X, Z, T ), c_Groups_Oplus__class_Oplus( X
% 0.92/1.52 , Y, T ) ) }.
% 0.92/1.52 { ! class_Groups_Oordered__cancel__ab__semigroup__add( X ), !
% 0.92/1.52 c_Orderings_Oord__class_Oless( X, Z, Y ), c_Orderings_Oord__class_Oless(
% 0.92/1.52 X, c_Groups_Oplus__class_Oplus( X, T, Z ), c_Groups_Oplus__class_Oplus( X
% 0.92/1.52 , T, Y ) ) }.
% 0.92/1.52 { ! class_Groups_Oordered__cancel__ab__semigroup__add( X ), !
% 0.92/1.52 c_Orderings_Oord__class_Oless( X, Z, Y ), ! c_Orderings_Oord__class_Oless
% 0.92/1.52 ( X, U, T ), c_Orderings_Oord__class_Oless( X,
% 0.92/1.52 c_Groups_Oplus__class_Oplus( X, Z, U ), c_Groups_Oplus__class_Oplus( X, Y
% 0.92/1.52 , T ) ) }.
% 0.92/1.52 { ! class_Groups_Oordered__ab__semigroup__add__imp__le( X ), !
% 0.92/1.52 c_Orderings_Oord__class_Oless( X, c_Groups_Oplus__class_Oplus( X, Z, T )
% 0.92/1.52 , c_Groups_Oplus__class_Oplus( X, Y, T ) ), c_Orderings_Oord__class_Oless
% 0.92/1.52 ( X, Z, Y ) }.
% 0.92/1.52 { ! class_Groups_Oordered__ab__semigroup__add__imp__le( X ), !
% 0.92/1.52 c_Orderings_Oord__class_Oless( X, c_Groups_Oplus__class_Oplus( X, T, Z )
% 0.92/1.52 , c_Groups_Oplus__class_Oplus( X, T, Y ) ), c_Orderings_Oord__class_Oless
% 0.92/1.52 ( X, Z, Y ) }.
% 0.92/1.52 { ! class_Int_Onumber__ring( X ), c_Groups_Oplus__class_Oplus( X,
% 0.92/1.52 c_Int_Onumber__class_Onumber__of( X, T ), c_Groups_Oplus__class_Oplus( X
% 0.92/1.52 , c_Int_Onumber__class_Onumber__of( X, Z ), Y ) ) =
% 0.92/1.52 c_Groups_Oplus__class_Oplus( X, c_Int_Onumber__class_Onumber__of( X,
% 0.92/1.52 c_Groups_Oplus__class_Oplus( tc_Int_Oint, T, Z ) ), Y ) }.
% 0.92/1.52 { ! class_Int_Onumber__ring( X ), c_Groups_Oplus__class_Oplus( X,
% 0.92/1.52 c_Int_Onumber__class_Onumber__of( X, Z ),
% 0.92/1.52 c_Int_Onumber__class_Onumber__of( X, Y ) ) =
% 0.92/1.52 c_Int_Onumber__class_Onumber__of( X, c_Groups_Oplus__class_Oplus(
% 0.92/1.52 tc_Int_Oint, Z, Y ) ) }.
% 0.92/1.52 { ! class_Int_Onumber__ring( X ), c_Int_Onumber__class_Onumber__of( X,
% 0.92/1.52 c_Groups_Oplus__class_Oplus( tc_Int_Oint, Z, Y ) ) =
% 0.92/1.52 c_Groups_Oplus__class_Oplus( X, c_Int_Onumber__class_Onumber__of( X, Z )
% 0.92/1.52 , c_Int_Onumber__class_Onumber__of( X, Y ) ) }.
% 0.92/1.52 { ! class_Int_Onumber( X ), ! class_Rings_Osemiring( X ),
% 0.92/1.52 c_Groups_Otimes__class_Otimes( X, c_Groups_Oplus__class_Oplus( X, T, Z )
% 0.92/1.52 , c_Int_Onumber__class_Onumber__of( X, Y ) ) =
% 0.92/1.52 c_Groups_Oplus__class_Oplus( X, c_Groups_Otimes__class_Otimes( X, T,
% 0.92/1.52 c_Int_Onumber__class_Onumber__of( X, Y ) ), c_Groups_Otimes__class_Otimes
% 0.92/1.52 ( X, Z, c_Int_Onumber__class_Onumber__of( X, Y ) ) ) }.
% 0.92/1.52 { ! class_Int_Onumber( X ), ! class_Rings_Osemiring( X ),
% 0.92/1.52 c_Groups_Otimes__class_Otimes( X, c_Int_Onumber__class_Onumber__of( X, T
% 0.92/1.52 ), c_Groups_Oplus__class_Oplus( X, Z, Y ) ) =
% 0.92/1.52 c_Groups_Oplus__class_Oplus( X, c_Groups_Otimes__class_Otimes( X,
% 0.92/1.52 c_Int_Onumber__class_Onumber__of( X, T ), Z ),
% 0.92/1.52 c_Groups_Otimes__class_Otimes( X, c_Int_Onumber__class_Onumber__of( X, T
% 0.92/1.52 ), Y ) ) }.
% 0.92/1.52 { ! class_Int_Onumber__ring( X ), c_Int_Onumber__class_Onumber__of( X,
% 0.92/1.52 c_Groups_Otimes__class_Otimes( tc_Int_Oint, Z, Y ) ) =
% 0.92/1.52 c_Groups_Otimes__class_Otimes( X, c_Int_Onumber__class_Onumber__of( X, Z
% 0.92/1.52 ), c_Int_Onumber__class_Onumber__of( X, Y ) ) }.
% 0.92/1.52 { ! class_Int_Onumber__ring( X ), c_Groups_Otimes__class_Otimes( X,
% 0.92/1.52 c_Int_Onumber__class_Onumber__of( X, Z ),
% 0.92/1.52 c_Int_Onumber__class_Onumber__of( X, Y ) ) =
% 0.92/1.52 c_Int_Onumber__class_Onumber__of( X, c_Groups_Otimes__class_Otimes(
% 0.92/1.52 tc_Int_Oint, Z, Y ) ) }.
% 0.92/1.52 { ! class_Int_Onumber__ring( X ), c_Groups_Otimes__class_Otimes( X,
% 0.92/1.52 c_Int_Onumber__class_Onumber__of( X, T ), c_Groups_Otimes__class_Otimes(
% 0.92/1.52 X, c_Int_Onumber__class_Onumber__of( X, Z ), Y ) ) =
% 0.92/1.52 c_Groups_Otimes__class_Otimes( X, c_Int_Onumber__class_Onumber__of( X,
% 0.92/1.52 c_Groups_Otimes__class_Otimes( tc_Int_Oint, T, Z ) ), Y ) }.
% 0.92/1.52 { ! class_Lattices_Oab__semigroup__idem__mult( X ),
% 0.92/1.52 c_Groups_Otimes__class_Otimes( X, Y, Y ) = Y }.
% 0.92/1.52 { ! class_Lattices_Oab__semigroup__idem__mult( X ),
% 0.92/1.52 c_Groups_Otimes__class_Otimes( X, Y, Y ) = Y }.
% 0.92/1.52 { ! class_Lattices_Oab__semigroup__idem__mult( X ),
% 0.92/1.52 c_Groups_Otimes__class_Otimes( X, Z, c_Groups_Otimes__class_Otimes( X, Z
% 0.92/1.52 , Y ) ) = c_Groups_Otimes__class_Otimes( X, Z, Y ) }.
% 0.92/1.52 { ! class_RealVector_Oreal__normed__algebra( X ),
% 0.92/1.52 c_Groups_Otimes__class_Otimes( X, T, c_Groups_Oplus__class_Oplus( X, Z, Y
% 0.92/1.52 ) ) = c_Groups_Oplus__class_Oplus( X, c_Groups_Otimes__class_Otimes( X,
% 0.92/1.52 T, Z ), c_Groups_Otimes__class_Otimes( X, T, Y ) ) }.
% 0.92/1.52 { ! class_RealVector_Oreal__normed__algebra( X ),
% 0.92/1.52 c_Groups_Otimes__class_Otimes( X, T, c_Groups_Oplus__class_Oplus( X, Z, Y
% 0.92/1.52 ) ) = c_Groups_Oplus__class_Oplus( X, c_Groups_Otimes__class_Otimes( X,
% 0.92/1.52 T, Z ), c_Groups_Otimes__class_Otimes( X, T, Y ) ) }.
% 0.92/1.52 { ! class_Rings_Ocomm__semiring( X ), c_Groups_Otimes__class_Otimes( X,
% 0.92/1.52 c_Groups_Oplus__class_Oplus( X, T, Z ), Y ) = c_Groups_Oplus__class_Oplus
% 0.92/1.52 ( X, c_Groups_Otimes__class_Otimes( X, T, Y ),
% 0.92/1.52 c_Groups_Otimes__class_Otimes( X, Z, Y ) ) }.
% 0.92/1.52 { ! class_RealVector_Oreal__normed__algebra( X ),
% 0.92/1.52 c_Groups_Otimes__class_Otimes( X, c_Groups_Oplus__class_Oplus( X, T, Z )
% 0.92/1.52 , Y ) = c_Groups_Oplus__class_Oplus( X, c_Groups_Otimes__class_Otimes( X
% 0.92/1.52 , T, Y ), c_Groups_Otimes__class_Otimes( X, Z, Y ) ) }.
% 0.92/1.52 { ! class_RealVector_Oreal__normed__algebra( X ),
% 0.92/1.52 c_Groups_Otimes__class_Otimes( X, c_Groups_Oplus__class_Oplus( X, T, Z )
% 0.92/1.52 , Y ) = c_Groups_Oplus__class_Oplus( X, c_Groups_Otimes__class_Otimes( X
% 0.92/1.52 , T, Y ), c_Groups_Otimes__class_Otimes( X, Z, Y ) ) }.
% 0.92/1.52 { ! class_Rings_Osemiring( X ), c_Groups_Oplus__class_Oplus( X,
% 0.92/1.52 c_Groups_Otimes__class_Otimes( X, U, T ), c_Groups_Oplus__class_Oplus( X
% 0.92/1.52 , c_Groups_Otimes__class_Otimes( X, Z, T ), Y ) ) =
% 0.92/1.52 c_Groups_Oplus__class_Oplus( X, c_Groups_Otimes__class_Otimes( X,
% 0.92/1.52 c_Groups_Oplus__class_Oplus( X, U, Z ), T ), Y ) }.
% 0.92/1.52 { ! c_Groups_Oplus__class_Oplus( tc_RealDef_Oreal,
% 0.92/1.52 c_Groups_Otimes__class_Otimes( tc_RealDef_Oreal, Y, Y ),
% 0.92/1.52 c_Groups_Otimes__class_Otimes( tc_RealDef_Oreal, X, X ) ) =
% 0.92/1.52 c_Groups_Ozero__class_Ozero( tc_RealDef_Oreal ), Y =
% 0.92/1.52 c_Groups_Ozero__class_Ozero( tc_RealDef_Oreal ) }.
% 0.92/1.52 { ! c_Groups_Oplus__class_Oplus( tc_RealDef_Oreal,
% 0.92/1.52 c_Groups_Otimes__class_Otimes( tc_RealDef_Oreal, Y, Y ),
% 0.92/1.52 c_Groups_Otimes__class_Otimes( tc_RealDef_Oreal, X, X ) ) =
% 0.92/1.52 c_Groups_Ozero__class_Ozero( tc_RealDef_Oreal ), X =
% 0.92/1.52 c_Groups_Ozero__class_Ozero( tc_RealDef_Oreal ) }.
% 0.92/1.52 { ! Y = c_Groups_Ozero__class_Ozero( tc_RealDef_Oreal ), ! X =
% 0.92/1.52 c_Groups_Ozero__class_Ozero( tc_RealDef_Oreal ),
% 0.92/1.52 c_Groups_Oplus__class_Oplus( tc_RealDef_Oreal,
% 0.92/1.52 c_Groups_Otimes__class_Otimes( tc_RealDef_Oreal, Y, Y ),
% 0.92/1.52 c_Groups_Otimes__class_Otimes( tc_RealDef_Oreal, X, X ) ) =
% 0.92/1.52 c_Groups_Ozero__class_Ozero( tc_RealDef_Oreal ) }.
% 0.92/1.52 { ! class_Rings_Olinordered__ring__strict( X ), !
% 0.92/1.52 c_Groups_Oplus__class_Oplus( X, c_Groups_Otimes__class_Otimes( X, Z, Z )
% 0.92/1.52 , c_Groups_Otimes__class_Otimes( X, Y, Y ) ) =
% 0.92/1.52 c_Groups_Ozero__class_Ozero( X ), Z = c_Groups_Ozero__class_Ozero( X ) }
% 0.92/1.52 .
% 0.92/1.52 { ! class_Rings_Olinordered__ring__strict( X ), !
% 0.92/1.52 c_Groups_Oplus__class_Oplus( X, c_Groups_Otimes__class_Otimes( X, Z, Z )
% 0.92/1.52 , c_Groups_Otimes__class_Otimes( X, Y, Y ) ) =
% 0.92/1.52 c_Groups_Ozero__class_Ozero( X ), Y = c_Groups_Ozero__class_Ozero( X ) }
% 0.92/1.52 .
% 0.92/1.52 { ! class_Rings_Olinordered__ring__strict( X ), ! Z =
% 0.92/1.52 c_Groups_Ozero__class_Ozero( X ), ! Y = c_Groups_Ozero__class_Ozero( X )
% 0.92/1.52 , c_Groups_Oplus__class_Oplus( X, c_Groups_Otimes__class_Otimes( X, Z, Z
% 0.92/1.52 ), c_Groups_Otimes__class_Otimes( X, Y, Y ) ) =
% 0.92/1.52 c_Groups_Ozero__class_Ozero( X ) }.
% 0.92/1.52 { c_Groups_Otimes__class_Otimes( tc_RealDef_Oreal, Y, X ) =
% 0.92/1.52 c_Groups_Otimes__class_Otimes( tc_RealDef_Oreal, X, Y ) }.
% 0.92/1.52 { ! class_Groups_Oab__semigroup__add( X ), c_Groups_Oplus__class_Oplus( X,
% 0.92/1.52 c_Groups_Oplus__class_Oplus( X, T, Z ), Y ) = c_Groups_Oplus__class_Oplus
% 0.92/1.52 ( X, T, c_Groups_Oplus__class_Oplus( X, Z, Y ) ) }.
% 0.92/1.52 { ! class_Groups_Oab__semigroup__mult( X ), c_Groups_Otimes__class_Otimes(
% 0.92/1.52 X, c_Groups_Otimes__class_Otimes( X, T, Z ), Y ) =
% 0.92/1.52 c_Groups_Otimes__class_Otimes( X, T, c_Groups_Otimes__class_Otimes( X, Z
% 0.92/1.52 , Y ) ) }.
% 0.92/1.52 { c_Groups_Otimes__class_Otimes( tc_RealDef_Oreal,
% 0.92/1.52 c_Groups_Otimes__class_Otimes( tc_RealDef_Oreal, Z, Y ), X ) =
% 0.92/1.52 c_Groups_Otimes__class_Otimes( tc_RealDef_Oreal, Z,
% 0.92/1.52 c_Groups_Otimes__class_Otimes( tc_RealDef_Oreal, Y, X ) ) }.
% 0.92/1.52 { c_Groups_Otimes__class_Otimes( tc_RealDef_Oreal,
% 0.92/1.52 c_Groups_Oplus__class_Oplus( tc_RealDef_Oreal, Z, Y ), X ) =
% 0.92/1.52 c_Groups_Oplus__class_Oplus( tc_RealDef_Oreal,
% 0.92/1.52 c_Groups_Otimes__class_Otimes( tc_RealDef_Oreal, Z, X ),
% 0.92/1.52 c_Groups_Otimes__class_Otimes( tc_RealDef_Oreal, Y, X ) ) }.
% 0.92/1.52 { ! class_Groups_Ocancel__semigroup__add( X ), !
% 0.92/1.52 c_Groups_Oplus__class_Oplus( X, T, Z ) = c_Groups_Oplus__class_Oplus( X,
% 0.92/1.52 T, Y ), Z = Y }.
% 0.92/1.52 { ! class_Groups_Ocancel__semigroup__add( X ), ! Z = Y,
% 0.92/1.52 c_Groups_Oplus__class_Oplus( X, T, Z ) = c_Groups_Oplus__class_Oplus( X,
% 0.92/1.52 T, Y ) }.
% 0.92/1.52 { ! class_Groups_Ocancel__semigroup__add( X ), !
% 0.92/1.52 c_Groups_Oplus__class_Oplus( X, T, Z ) = c_Groups_Oplus__class_Oplus( X,
% 0.92/1.52 Y, Z ), T = Y }.
% 0.92/1.52 { ! class_Groups_Ocancel__semigroup__add( X ), ! T = Y,
% 0.92/1.52 c_Groups_Oplus__class_Oplus( X, T, Z ) = c_Groups_Oplus__class_Oplus( X,
% 0.92/1.52 Y, Z ) }.
% 0.92/1.52 { ! class_Groups_Ocancel__semigroup__add( X ), !
% 0.92/1.52 c_Groups_Oplus__class_Oplus( X, T, Z ) = c_Groups_Oplus__class_Oplus( X,
% 0.92/1.52 T, Y ), Z = Y }.
% 0.92/1.52 { ! class_Groups_Ocancel__ab__semigroup__add( X ), !
% 0.92/1.52 c_Groups_Oplus__class_Oplus( X, T, Z ) = c_Groups_Oplus__class_Oplus( X,
% 0.92/1.52 T, Y ), Z = Y }.
% 0.92/1.52 { ! class_Groups_Ocancel__semigroup__add( X ), !
% 0.92/1.52 c_Groups_Oplus__class_Oplus( X, Z, T ) = c_Groups_Oplus__class_Oplus( X,
% 0.92/1.52 Y, T ), Z = Y }.
% 0.92/1.52 { ! class_Rings_Omult__zero( X ), c_Groups_Otimes__class_Otimes( X,
% 0.92/1.52 c_Groups_Ozero__class_Ozero( X ), Y ) = c_Groups_Ozero__class_Ozero( X )
% 0.92/1.52 }.
% 0.92/1.52 { ! class_RealVector_Oreal__normed__algebra( X ),
% 0.92/1.52 c_Groups_Otimes__class_Otimes( X, c_Groups_Ozero__class_Ozero( X ), Y ) =
% 0.92/1.52 c_Groups_Ozero__class_Ozero( X ) }.
% 0.92/1.52 { ! class_RealVector_Oreal__normed__algebra( X ),
% 0.92/1.52 c_Groups_Otimes__class_Otimes( X, c_Groups_Ozero__class_Ozero( X ), Y ) =
% 0.92/1.52 c_Groups_Ozero__class_Ozero( X ) }.
% 0.92/1.52 { ! class_Rings_Omult__zero( X ), c_Groups_Otimes__class_Otimes( X, Y,
% 0.92/1.52 c_Groups_Ozero__class_Ozero( X ) ) = c_Groups_Ozero__class_Ozero( X ) }.
% 0.92/1.52 { ! class_RealVector_Oreal__normed__algebra( X ),
% 0.92/1.52 c_Groups_Otimes__class_Otimes( X, Y, c_Groups_Ozero__class_Ozero( X ) ) =
% 0.92/1.52 c_Groups_Ozero__class_Ozero( X ) }.
% 0.92/1.52 { ! class_RealVector_Oreal__normed__algebra( X ),
% 0.92/1.52 c_Groups_Otimes__class_Otimes( X, Y, c_Groups_Ozero__class_Ozero( X ) ) =
% 0.92/1.52 c_Groups_Ozero__class_Ozero( X ) }.
% 0.92/1.52 { ! class_Rings_Oring__no__zero__divisors( X ), !
% 0.92/1.52 c_Groups_Otimes__class_Otimes( X, Z, Y ) = c_Groups_Ozero__class_Ozero( X
% 0.92/1.52 ), Z = c_Groups_Ozero__class_Ozero( X ), Y = c_Groups_Ozero__class_Ozero
% 0.92/1.52 ( X ) }.
% 0.92/1.52 { ! class_Rings_Oring__no__zero__divisors( X ), ! Z =
% 0.92/1.52 c_Groups_Ozero__class_Ozero( X ), c_Groups_Otimes__class_Otimes( X, Z, Y
% 0.92/1.52 ) = c_Groups_Ozero__class_Ozero( X ) }.
% 0.92/1.52 { ! class_Rings_Oring__no__zero__divisors( X ), ! Y =
% 0.92/1.52 c_Groups_Ozero__class_Ozero( X ), c_Groups_Otimes__class_Otimes( X, Z, Y
% 0.92/1.52 ) = c_Groups_Ozero__class_Ozero( X ) }.
% 0.92/1.52 { ! class_Rings_Ono__zero__divisors( X ), Y = c_Groups_Ozero__class_Ozero(
% 0.92/1.52 X ), Z = c_Groups_Ozero__class_Ozero( X ), !
% 0.92/1.52 c_Groups_Otimes__class_Otimes( X, Y, Z ) = c_Groups_Ozero__class_Ozero( X
% 0.92/1.52 ) }.
% 0.92/1.52 { ! class_Rings_Ono__zero__divisors( X ), ! c_Groups_Otimes__class_Otimes(
% 0.92/1.52 X, Z, Y ) = c_Groups_Ozero__class_Ozero( X ), Z =
% 0.92/1.52 c_Groups_Ozero__class_Ozero( X ), Y = c_Groups_Ozero__class_Ozero( X ) }
% 0.92/1.52 .
% 0.92/1.52 { ! class_Groups_Oab__group__add( X ), c_Groups_Ouminus__class_Ouminus( X,
% 0.92/1.52 c_Groups_Oplus__class_Oplus( X, Z, Y ) ) = c_Groups_Oplus__class_Oplus( X
% 0.92/1.52 , c_Groups_Ouminus__class_Ouminus( X, Z ),
% 0.92/1.52 c_Groups_Ouminus__class_Ouminus( X, Y ) ) }.
% 0.92/1.52 { ! class_Groups_Ogroup__add( X ), c_Groups_Ouminus__class_Ouminus( X,
% 0.92/1.52 c_Groups_Oplus__class_Oplus( X, Z, Y ) ) = c_Groups_Oplus__class_Oplus( X
% 0.92/1.52 , c_Groups_Ouminus__class_Ouminus( X, Y ),
% 0.92/1.52 c_Groups_Ouminus__class_Ouminus( X, Z ) ) }.
% 0.92/1.52 { ! class_Groups_Ogroup__add( X ), c_Groups_Oplus__class_Oplus( X, Z,
% 0.92/1.52 c_Groups_Oplus__class_Oplus( X, c_Groups_Ouminus__class_Ouminus( X, Z ),
% 0.92/1.52 Y ) ) = Y }.
% 0.92/1.52 { ! class_Groups_Ogroup__add( X ), c_Groups_Oplus__class_Oplus( X,
% 0.92/1.52 c_Groups_Ouminus__class_Ouminus( X, Z ), c_Groups_Oplus__class_Oplus( X,
% 0.92/1.52 Z, Y ) ) = Y }.
% 0.92/1.52 { ! class_Groups_Omonoid__mult( X ), c_Groups_Otimes__class_Otimes( X,
% 0.92/1.52 c_Groups_Oone__class_Oone( X ), Y ) = Y }.
% 0.92/1.52 { ! class_Groups_Ocomm__monoid__mult( X ), c_Groups_Otimes__class_Otimes( X
% 0.92/1.52 , c_Groups_Oone__class_Oone( X ), Y ) = Y }.
% 0.92/1.52 { ! class_Groups_Omonoid__mult( X ), c_Groups_Otimes__class_Otimes( X, Y,
% 0.92/1.52 c_Groups_Oone__class_Oone( X ) ) = Y }.
% 0.92/1.52 { ! class_Groups_Ocomm__monoid__mult( X ), c_Groups_Otimes__class_Otimes( X
% 0.92/1.52 , Y, c_Groups_Oone__class_Oone( X ) ) = Y }.
% 0.92/1.52 { ! class_Rings_Odivision__ring( X ), c_Rings_Oinverse__class_Odivide( X,
% 0.92/1.52 c_Groups_Oplus__class_Oplus( X, T, Z ), Y ) = c_Groups_Oplus__class_Oplus
% 0.92/1.52 ( X, c_Rings_Oinverse__class_Odivide( X, T, Y ),
% 0.92/1.52 c_Rings_Oinverse__class_Odivide( X, Z, Y ) ) }.
% 0.92/1.52 { ! class_RealVector_Oreal__normed__field( X ),
% 0.92/1.52 c_Rings_Oinverse__class_Odivide( X, c_Groups_Oplus__class_Oplus( X, T, Z
% 0.92/1.52 ), Y ) = c_Groups_Oplus__class_Oplus( X, c_Rings_Oinverse__class_Odivide
% 0.92/1.52 ( X, T, Y ), c_Rings_Oinverse__class_Odivide( X, Z, Y ) ) }.
% 0.92/1.52 { ! c_Orderings_Oord__class_Oless__eq( tc_RealDef_Oreal, Y, X ),
% 0.92/1.52 c_Orderings_Oord__class_Oless__eq( tc_RealDef_Oreal,
% 0.92/1.52 c_Groups_Oplus__class_Oplus( tc_RealDef_Oreal, Z, Y ),
% 0.92/1.52 c_Groups_Oplus__class_Oplus( tc_RealDef_Oreal, Z, X ) ) }.
% 0.92/1.52 { ! class_Rings_Oring( X ), c_Groups_Ouminus__class_Ouminus( X,
% 0.92/1.52 c_Groups_Otimes__class_Otimes( X, Z, Y ) ) =
% 0.92/1.52 c_Groups_Otimes__class_Otimes( X, Z, c_Groups_Ouminus__class_Ouminus( X,
% 0.92/1.52 Y ) ) }.
% 0.92/1.52 { ! class_Rings_Oring( X ), c_Groups_Ouminus__class_Ouminus( X,
% 0.92/1.52 c_Groups_Otimes__class_Otimes( X, Z, Y ) ) =
% 0.92/1.52 c_Groups_Otimes__class_Otimes( X, c_Groups_Ouminus__class_Ouminus( X, Z )
% 0.92/1.52 , Y ) }.
% 0.92/1.52 { ! class_RealVector_Oreal__normed__algebra( X ),
% 0.92/1.52 c_Groups_Otimes__class_Otimes( X, Z, c_Groups_Ouminus__class_Ouminus( X,
% 0.92/1.52 Y ) ) = c_Groups_Ouminus__class_Ouminus( X, c_Groups_Otimes__class_Otimes
% 0.92/1.52 ( X, Z, Y ) ) }.
% 0.92/1.52 { ! class_RealVector_Oreal__normed__algebra( X ),
% 0.92/1.52 c_Groups_Otimes__class_Otimes( X, Z, c_Groups_Ouminus__class_Ouminus( X,
% 0.92/1.52 Y ) ) = c_Groups_Ouminus__class_Ouminus( X, c_Groups_Otimes__class_Otimes
% 0.92/1.52 ( X, Z, Y ) ) }.
% 0.92/1.52 { ! class_RealVector_Oreal__normed__algebra( X ),
% 0.92/1.52 c_Groups_Otimes__class_Otimes( X, c_Groups_Ouminus__class_Ouminus( X, Z )
% 0.92/1.52 , Y ) = c_Groups_Ouminus__class_Ouminus( X, c_Groups_Otimes__class_Otimes
% 0.92/1.52 ( X, Z, Y ) ) }.
% 0.92/1.52 { ! class_RealVector_Oreal__normed__algebra( X ),
% 0.92/1.52 c_Groups_Otimes__class_Otimes( X, c_Groups_Ouminus__class_Ouminus( X, Z )
% 0.92/1.52 , Y ) = c_Groups_Ouminus__class_Ouminus( X, c_Groups_Otimes__class_Otimes
% 0.92/1.52 ( X, Z, Y ) ) }.
% 0.92/1.52 { ! class_Rings_Oring( X ), c_Groups_Otimes__class_Otimes( X,
% 0.92/1.52 c_Groups_Ouminus__class_Ouminus( X, Z ), Y ) =
% 0.92/1.52 c_Groups_Otimes__class_Otimes( X, Z, c_Groups_Ouminus__class_Ouminus( X,
% 0.92/1.52 Y ) ) }.
% 0.92/1.52 { ! class_Rings_Oring( X ), c_Groups_Otimes__class_Otimes( X,
% 0.92/1.52 c_Groups_Ouminus__class_Ouminus( X, Z ), c_Groups_Ouminus__class_Ouminus
% 0.92/1.52 ( X, Y ) ) = c_Groups_Otimes__class_Otimes( X, Z, Y ) }.
% 0.92/1.52 { ! class_Rings_Oidom( X ), ! c_Groups_Otimes__class_Otimes( X, Z, Z ) =
% 0.92/1.52 c_Groups_Otimes__class_Otimes( X, Y, Y ), Z = Y, Z =
% 0.92/1.52 c_Groups_Ouminus__class_Ouminus( X, Y ) }.
% 0.92/1.52 { ! class_Rings_Oidom( X ), ! Z = Y, c_Groups_Otimes__class_Otimes( X, Z, Z
% 0.92/1.52 ) = c_Groups_Otimes__class_Otimes( X, Y, Y ) }.
% 0.92/1.52 { ! class_Rings_Oidom( X ), ! Z = c_Groups_Ouminus__class_Ouminus( X, Y ),
% 0.92/1.52 c_Groups_Otimes__class_Otimes( X, Z, Z ) = c_Groups_Otimes__class_Otimes
% 0.92/1.52 ( X, Y, Y ) }.
% 0.92/1.52 { ! class_Rings_Odivision__ring( X ), c_Groups_Otimes__class_Otimes( X, T,
% 0.92/1.52 c_Rings_Oinverse__class_Odivide( X, Z, Y ) ) =
% 0.92/1.52 c_Rings_Oinverse__class_Odivide( X, c_Groups_Otimes__class_Otimes( X, T,
% 0.92/1.52 Z ), Y ) }.
% 0.92/1.52 { ! class_Fields_Ofield__inverse__zero( X ), c_Groups_Otimes__class_Otimes
% 0.92/1.52 ( X, c_Rings_Oinverse__class_Odivide( X, U, T ),
% 0.92/1.52 c_Rings_Oinverse__class_Odivide( X, Z, Y ) ) =
% 0.92/1.52 c_Rings_Oinverse__class_Odivide( X, c_Groups_Otimes__class_Otimes( X, U,
% 0.92/1.52 Z ), c_Groups_Otimes__class_Otimes( X, T, Y ) ) }.
% 0.92/1.52 { X = c_Groups_Ozero__class_Ozero( tc_RealDef_Oreal ), !
% 0.92/1.52 c_Groups_Otimes__class_Otimes( tc_RealDef_Oreal, X, Z ) =
% 0.92/1.52 c_Groups_Otimes__class_Otimes( tc_RealDef_Oreal, X, Y ), Z = Y }.
% 0.92/1.52 { X = c_Groups_Ozero__class_Ozero( tc_RealDef_Oreal ), ! Z = Y,
% 0.92/1.52 c_Groups_Otimes__class_Otimes( tc_RealDef_Oreal, X, Z ) =
% 0.92/1.52 c_Groups_Otimes__class_Otimes( tc_RealDef_Oreal, X, Y ) }.
% 0.92/1.52 { X = c_Groups_Ozero__class_Ozero( tc_RealDef_Oreal ), !
% 0.92/1.52 c_Groups_Otimes__class_Otimes( tc_RealDef_Oreal, Z, X ) =
% 0.92/1.52 c_Groups_Otimes__class_Otimes( tc_RealDef_Oreal, Y, X ), Z = Y }.
% 0.92/1.52 { X = c_Groups_Ozero__class_Ozero( tc_RealDef_Oreal ), ! Z = Y,
% 0.92/1.52 c_Groups_Otimes__class_Otimes( tc_RealDef_Oreal, Z, X ) =
% 0.92/1.52 c_Groups_Otimes__class_Otimes( tc_RealDef_Oreal, Y, X ) }.
% 0.92/1.52 { ! class_Groups_Oordered__ab__semigroup__add__imp__le( X ),
% 0.92/1.52 c_Groups_Oplus__class_Oplus( X, c_Orderings_Oord__class_Omin( X, T, Z ),
% 0.92/1.52 Y ) = c_Orderings_Oord__class_Omin( X, c_Groups_Oplus__class_Oplus( X, T
% 0.92/1.52 , Y ), c_Groups_Oplus__class_Oplus( X, Z, Y ) ) }.
% 0.92/1.52 { c_Groups_Otimes__class_Otimes( tc_RealDef_Oreal,
% 0.92/1.52 c_Groups_Oone__class_Oone( tc_RealDef_Oreal ), X ) = X }.
% 0.92/1.52 { c_Rings_Oinverse__class_Odivide( tc_RealDef_Oreal,
% 0.92/1.52 c_Groups_Otimes__class_Otimes( tc_RealDef_Oreal, Y, X ),
% 0.92/1.52 c_Groups_Otimes__class_Otimes( tc_RealDef_Oreal, Y, Y ) ) =
% 0.92/1.52 c_Rings_Oinverse__class_Odivide( tc_RealDef_Oreal, X, Y ) }.
% 0.92/1.52 { ! class_Rings_Olinordered__semiring__1( X ), !
% 0.92/1.52 c_Orderings_Oord__class_Oless__eq( X, Z, Y ), !
% 0.92/1.52 c_Orderings_Oord__class_Oless__eq( X, T, Y ), !
% 0.92/1.52 c_Orderings_Oord__class_Oless__eq( X, c_Groups_Ozero__class_Ozero( X ), U
% 0.92/1.52 ), ! c_Orderings_Oord__class_Oless__eq( X, c_Groups_Ozero__class_Ozero(
% 0.92/1.52 X ), W ), ! c_Groups_Oplus__class_Oplus( X, U, W ) =
% 0.92/1.52 c_Groups_Oone__class_Oone( X ), c_Orderings_Oord__class_Oless__eq( X,
% 0.92/1.52 c_Groups_Oplus__class_Oplus( X, c_Groups_Otimes__class_Otimes( X, U, Z )
% 0.92/1.52 , c_Groups_Otimes__class_Otimes( X, W, T ) ), Y ) }.
% 0.92/1.52 { ! class_Int_Onumber__ring( X ), c_Groups_Otimes__class_Otimes( X,
% 0.92/1.52 c_Groups_Oplus__class_Oplus( X, c_Groups_Oone__class_Oone( X ),
% 0.92/1.52 c_Groups_Oone__class_Oone( X ) ), c_Int_Onumber__class_Onumber__of( X, Y
% 0.92/1.52 ) ) = c_Int_Onumber__class_Onumber__of( X, c_Int_OBit0( Y ) ) }.
% 0.92/1.52 { c_Groups_Oplus__class_Oplus( tc_RealDef_Oreal,
% 0.92/1.52 c_Groups_Otimes__class_Otimes( tc_RealDef_Oreal, c_Transcendental_Ocos( X
% 0.92/1.52 ), c_Transcendental_Ocos( X ) ), c_Groups_Otimes__class_Otimes(
% 0.92/1.52 tc_RealDef_Oreal, c_Transcendental_Osin( X ), c_Transcendental_Osin( X )
% 0.92/1.52 ) ) = c_Groups_Oone__class_Oone( tc_RealDef_Oreal ) }.
% 0.92/1.52 { c_Transcendental_Otan( c_Groups_Oplus__class_Oplus( tc_RealDef_Oreal, Y,
% 0.92/1.52 c_Groups_Otimes__class_Otimes( tc_RealDef_Oreal,
% 0.92/1.52 c_Int_Onumber__class_Onumber__of( tc_RealDef_Oreal, X ),
% 0.92/1.52 c_Transcendental_Opi ) ) ) = c_Transcendental_Otan( Y ) }.
% 0.92/1.52 { ! class_Rings_Olinordered__semiring__1__strict( X ), !
% 0.92/1.52 c_Orderings_Oord__class_Oless( X, Z, Y ), ! c_Orderings_Oord__class_Oless
% 0.92/1.52 ( X, T, Y ), ! c_Orderings_Oord__class_Oless__eq( X,
% 0.92/1.52 c_Groups_Ozero__class_Ozero( X ), U ), !
% 0.92/1.52 c_Orderings_Oord__class_Oless__eq( X, c_Groups_Ozero__class_Ozero( X ), W
% 0.92/1.52 ), ! c_Groups_Oplus__class_Oplus( X, U, W ) = c_Groups_Oone__class_Oone
% 0.92/1.52 ( X ), c_Orderings_Oord__class_Oless( X, c_Groups_Oplus__class_Oplus( X,
% 0.92/1.52 c_Groups_Otimes__class_Otimes( X, U, Z ), c_Groups_Otimes__class_Otimes(
% 0.92/1.52 X, W, T ) ), Y ) }.
% 0.92/1.52 { ! class_Int_Onumber__ring( X ), c_Groups_Oplus__class_Oplus( X,
% 0.92/1.52 c_Groups_Oone__class_Oone( X ), c_Int_Onumber__class_Onumber__of( X, Y )
% 0.92/1.52 ) = c_Int_Onumber__class_Onumber__of( X, c_Groups_Oplus__class_Oplus(
% 0.92/1.52 tc_Int_Oint, c_Int_OBit1( c_Int_OPls ), Y ) ) }.
% 0.92/1.52 { ! class_Int_Onumber__ring( X ), c_Groups_Oplus__class_Oplus( X,
% 0.92/1.52 c_Int_Onumber__class_Onumber__of( X, Y ), c_Groups_Oone__class_Oone( X )
% 0.92/1.52 ) = c_Int_Onumber__class_Onumber__of( X, c_Groups_Oplus__class_Oplus(
% 0.92/1.52 tc_Int_Oint, Y, c_Int_OBit1( c_Int_OPls ) ) ) }.
% 0.92/1.52 { ! class_Int_Onumber__ring( X ), c_Groups_Otimes__class_Otimes( X, Y,
% 0.92/1.52 c_Int_Onumber__class_Onumber__of( X, c_Int_OBit0( c_Int_OBit1( c_Int_OPls
% 0.92/1.52 ) ) ) ) = c_Groups_Oplus__class_Oplus( X, Y, Y ) }.
% 0.92/1.52 { ! class_Int_Onumber__ring( X ), c_Groups_Otimes__class_Otimes( X,
% 0.92/1.52 c_Int_Onumber__class_Onumber__of( X, c_Int_OBit0( c_Int_OBit1( c_Int_OPls
% 0.92/1.52 ) ) ), Y ) = c_Groups_Oplus__class_Oplus( X, Y, Y ) }.
% 0.92/1.52 { ! class_Groups_Oordered__comm__monoid__add( X ), !
% 0.92/1.52 c_Orderings_Oord__class_Oless__eq( X, Y, c_Groups_Ozero__class_Ozero( X )
% 0.92/1.52 ), ! c_Orderings_Oord__class_Oless__eq( X, Z,
% 0.92/1.52 c_Groups_Ozero__class_Ozero( X ) ), c_Orderings_Oord__class_Oless__eq( X
% 0.92/1.52 , c_Groups_Oplus__class_Oplus( X, Y, Z ), c_Groups_Ozero__class_Ozero( X
% 0.92/1.52 ) ) }.
% 0.92/1.52 { ! class_Groups_Oordered__comm__monoid__add( X ), !
% 0.92/1.52 c_Orderings_Oord__class_Oless__eq( X, c_Groups_Ozero__class_Ozero( X ), Y
% 0.92/1.52 ), ! c_Orderings_Oord__class_Oless__eq( X, T, Z ),
% 0.92/1.52 c_Orderings_Oord__class_Oless__eq( X, T, c_Groups_Oplus__class_Oplus( X,
% 0.92/1.52 Z, Y ) ) }.
% 0.92/1.52 { ! class_Groups_Oordered__comm__monoid__add( X ), !
% 0.92/1.52 c_Orderings_Oord__class_Oless__eq( X, c_Groups_Ozero__class_Ozero( X ), Y
% 0.92/1.52 ), ! c_Orderings_Oord__class_Oless__eq( X, T, Z ),
% 0.92/1.52 c_Orderings_Oord__class_Oless__eq( X, T, c_Groups_Oplus__class_Oplus( X,
% 0.92/1.52 Y, Z ) ) }.
% 0.92/1.52 { ! class_Groups_Oordered__comm__monoid__add( X ), !
% 0.92/1.52 c_Orderings_Oord__class_Oless__eq( X, c_Groups_Ozero__class_Ozero( X ), Y
% 0.92/1.52 ), ! c_Orderings_Oord__class_Oless__eq( X, c_Groups_Ozero__class_Ozero(
% 0.92/1.52 X ), Z ), ! c_Groups_Oplus__class_Oplus( X, Y, Z ) =
% 0.92/1.52 c_Groups_Ozero__class_Ozero( X ), Y = c_Groups_Ozero__class_Ozero( X ) }
% 0.92/1.52 .
% 0.92/1.52 { ! class_Groups_Oordered__comm__monoid__add( X ), !
% 0.92/1.52 c_Orderings_Oord__class_Oless__eq( X, c_Groups_Ozero__class_Ozero( X ), Y
% 0.92/1.52 ), ! c_Orderings_Oord__class_Oless__eq( X, c_Groups_Ozero__class_Ozero(
% 0.92/1.52 X ), Z ), ! c_Groups_Oplus__class_Oplus( X, Y, Z ) =
% 0.92/1.52 c_Groups_Ozero__class_Ozero( X ), Z = c_Groups_Ozero__class_Ozero( X ) }
% 0.92/1.52 .
% 0.92/1.52 { ! class_Groups_Oordered__comm__monoid__add( X ), !
% 0.92/1.52 c_Orderings_Oord__class_Oless__eq( X, c_Groups_Ozero__class_Ozero( X ), Y
% 0.92/1.52 ), ! c_Orderings_Oord__class_Oless__eq( X, c_Groups_Ozero__class_Ozero(
% 0.92/1.52 X ), Z ), ! Y = c_Groups_Ozero__class_Ozero( X ), ! Z =
% 0.92/1.52 c_Groups_Ozero__class_Ozero( X ), c_Groups_Oplus__class_Oplus( X, Y, Z )
% 0.92/1.52 = c_Groups_Ozero__class_Ozero( X ) }.
% 0.92/1.52 { ! class_Groups_Oordered__comm__monoid__add( X ), !
% 0.92/1.52 c_Orderings_Oord__class_Oless__eq( X, c_Groups_Ozero__class_Ozero( X ), Y
% 0.92/1.52 ), ! c_Orderings_Oord__class_Oless__eq( X, c_Groups_Ozero__class_Ozero(
% 0.92/1.52 X ), Z ), c_Orderings_Oord__class_Oless__eq( X,
% 0.92/1.52 c_Groups_Ozero__class_Ozero( X ), c_Groups_Oplus__class_Oplus( X, Y, Z )
% 0.92/1.52 ) }.
% 0.92/1.52 { ! class_Groups_Olinordered__ab__group__add( X ), !
% 0.92/1.52 c_Orderings_Oord__class_Oless__eq( X, c_Groups_Oplus__class_Oplus( X, Y,
% 0.92/1.52 Y ), c_Groups_Ozero__class_Ozero( X ) ),
% 0.92/1.52 c_Orderings_Oord__class_Oless__eq( X, Y, c_Groups_Ozero__class_Ozero( X )
% 0.92/1.52 ) }.
% 0.92/1.52 { ! class_Groups_Olinordered__ab__group__add( X ), !
% 0.92/1.52 c_Orderings_Oord__class_Oless__eq( X, Y, c_Groups_Ozero__class_Ozero( X )
% 0.92/1.52 ), c_Orderings_Oord__class_Oless__eq( X, c_Groups_Oplus__class_Oplus( X
% 0.92/1.52 , Y, Y ), c_Groups_Ozero__class_Ozero( X ) ) }.
% 0.92/1.52 { ! class_Groups_Olinordered__ab__group__add( X ), !
% 0.92/1.52 c_Orderings_Oord__class_Oless__eq( X, c_Groups_Ozero__class_Ozero( X ),
% 0.92/1.52 c_Groups_Oplus__class_Oplus( X, Y, Y ) ),
% 0.92/1.52 c_Orderings_Oord__class_Oless__eq( X, c_Groups_Ozero__class_Ozero( X ), Y
% 0.92/1.52 ) }.
% 0.92/1.52 { ! class_Groups_Olinordered__ab__group__add( X ), !
% 0.92/1.52 c_Orderings_Oord__class_Oless__eq( X, c_Groups_Ozero__class_Ozero( X ), Y
% 0.92/1.52 ), c_Orderings_Oord__class_Oless__eq( X, c_Groups_Ozero__class_Ozero( X
% 0.92/1.52 ), c_Groups_Oplus__class_Oplus( X, Y, Y ) ) }.
% 0.92/1.52 { ! class_Groups_Olinordered__ab__group__add( X ), !
% 0.92/1.52 c_Orderings_Oord__class_Oless( X, c_Groups_Ozero__class_Ozero( X ),
% 0.92/1.52 c_Groups_Oplus__class_Oplus( X, Y, Y ) ), c_Orderings_Oord__class_Oless(
% 0.92/1.52 X, c_Groups_Ozero__class_Ozero( X ), Y ) }.
% 0.92/1.52 { ! class_Groups_Olinordered__ab__group__add( X ), !
% 0.92/1.52 c_Orderings_Oord__class_Oless( X, c_Groups_Ozero__class_Ozero( X ), Y ),
% 0.92/1.52 c_Orderings_Oord__class_Oless( X, c_Groups_Ozero__class_Ozero( X ),
% 0.92/1.52 c_Groups_Oplus__class_Oplus( X, Y, Y ) ) }.
% 0.92/1.52 { ! class_Groups_Olinordered__ab__group__add( X ), !
% 0.92/1.52 c_Orderings_Oord__class_Oless( X, c_Groups_Oplus__class_Oplus( X, Y, Y )
% 0.92/1.52 , c_Groups_Ozero__class_Ozero( X ) ), c_Orderings_Oord__class_Oless( X, Y
% 0.92/1.52 , c_Groups_Ozero__class_Ozero( X ) ) }.
% 0.92/1.52 { ! class_Groups_Olinordered__ab__group__add( X ), !
% 0.92/1.52 c_Orderings_Oord__class_Oless( X, Y, c_Groups_Ozero__class_Ozero( X ) ),
% 0.92/1.52 c_Orderings_Oord__class_Oless( X, c_Groups_Oplus__class_Oplus( X, Y, Y )
% 0.92/1.52 , c_Groups_Ozero__class_Ozero( X ) ) }.
% 0.92/1.52 { ! class_Groups_Oordered__comm__monoid__add( X ), !
% 0.92/1.52 c_Orderings_Oord__class_Oless( X, c_Groups_Ozero__class_Ozero( X ), Y ),
% 0.92/1.52 ! c_Orderings_Oord__class_Oless( X, c_Groups_Ozero__class_Ozero( X ), Z )
% 0.92/1.52 , c_Orderings_Oord__class_Oless( X, c_Groups_Ozero__class_Ozero( X ),
% 0.92/1.52 c_Groups_Oplus__class_Oplus( X, Y, Z ) ) }.
% 0.92/1.52 { ! class_Groups_Oordered__comm__monoid__add( X ), !
% 0.92/1.52 c_Orderings_Oord__class_Oless( X, Y, c_Groups_Ozero__class_Ozero( X ) ),
% 0.92/1.52 ! c_Orderings_Oord__class_Oless( X, Z, c_Groups_Ozero__class_Ozero( X ) )
% 0.92/1.52 , c_Orderings_Oord__class_Oless( X, c_Groups_Oplus__class_Oplus( X, Y, Z
% 0.92/1.52 ), c_Groups_Ozero__class_Ozero( X ) ) }.
% 0.92/1.52 { ! class_Rings_Olinordered__semidom( X ), ! c_Orderings_Oord__class_Oless
% 0.92/1.52 ( X, c_Groups_Ozero__class_Ozero( X ), Y ), !
% 0.92/1.52 c_Orderings_Oord__class_Oless( X, T, Z ), c_Orderings_Oord__class_Oless(
% 0.92/1.52 X, T, c_Groups_Oplus__class_Oplus( X, Y, Z ) ) }.
% 0.92/1.52 { ! class_Rings_Olinordered__idom( X ), ! c_Orderings_Oord__class_Oless( X
% 0.92/1.52 , c_Groups_Oplus__class_Oplus( X, Y, Y ), c_Groups_Ozero__class_Ozero( X
% 0.92/1.52 ) ), c_Orderings_Oord__class_Oless( X, Y, c_Groups_Ozero__class_Ozero( X
% 0.92/1.52 ) ) }.
% 0.92/1.52 { ! class_Rings_Olinordered__idom( X ), ! c_Orderings_Oord__class_Oless( X
% 0.92/1.52 , Y, c_Groups_Ozero__class_Ozero( X ) ), c_Orderings_Oord__class_Oless( X
% 0.92/1.52 , c_Groups_Oplus__class_Oplus( X, Y, Y ), c_Groups_Ozero__class_Ozero( X
% 0.92/1.52 ) ) }.
% 0.92/1.52 { ! class_Groups_Oordered__cancel__ab__semigroup__add( X ), !
% 0.92/1.52 c_Orderings_Oord__class_Oless__eq( X, Z, Y ), !
% 0.92/1.52 c_Orderings_Oord__class_Oless( X, U, T ), c_Orderings_Oord__class_Oless(
% 0.92/1.52 X, c_Groups_Oplus__class_Oplus( X, Z, U ), c_Groups_Oplus__class_Oplus( X
% 0.92/1.52 , Y, T ) ) }.
% 0.92/1.52 { ! class_Groups_Oordered__cancel__ab__semigroup__add( X ), !
% 0.92/1.52 c_Orderings_Oord__class_Oless( X, Z, Y ), !
% 0.92/1.52 c_Orderings_Oord__class_Oless__eq( X, U, T ),
% 0.92/1.52 c_Orderings_Oord__class_Oless( X, c_Groups_Oplus__class_Oplus( X, Z, U )
% 0.92/1.52 , c_Groups_Oplus__class_Oplus( X, Y, T ) ) }.
% 0.92/1.52 { ! class_Rings_Olinordered__semidom( X ), c_Orderings_Oord__class_Oless( X
% 0.92/1.52 , Y, c_Groups_Oplus__class_Oplus( X, Y, c_Groups_Oone__class_Oone( X ) )
% 0.92/1.52 ) }.
% 0.92/1.52 { ! class_Groups_Ogroup__add( X ), ! c_Groups_Oplus__class_Oplus( X, Z, Y )
% 0.92/1.52 = c_Groups_Ozero__class_Ozero( X ), c_Groups_Ouminus__class_Ouminus( X,
% 0.92/1.52 Z ) = Y }.
% 0.92/1.52 { ! class_Groups_Ogroup__add( X ), ! c_Groups_Oplus__class_Oplus( X, Z, Y )
% 0.92/1.52 = c_Groups_Ozero__class_Ozero( X ), Y = c_Groups_Ouminus__class_Ouminus
% 0.92/1.52 ( X, Z ) }.
% 0.92/1.52 { ! class_Groups_Ogroup__add( X ), ! Y = c_Groups_Ouminus__class_Ouminus( X
% 0.92/1.52 , Z ), c_Groups_Oplus__class_Oplus( X, Z, Y ) =
% 0.92/1.52 c_Groups_Ozero__class_Ozero( X ) }.
% 0.92/1.52 { ! class_Groups_Oab__group__add( X ), c_Groups_Oplus__class_Oplus( X,
% 0.92/1.52 c_Groups_Ouminus__class_Ouminus( X, Y ), Y ) =
% 0.92/1.52 c_Groups_Ozero__class_Ozero( X ) }.
% 0.92/1.52 { ! class_Groups_Ogroup__add( X ), c_Groups_Oplus__class_Oplus( X,
% 0.92/1.52 c_Groups_Ouminus__class_Ouminus( X, Y ), Y ) =
% 0.92/1.52 c_Groups_Ozero__class_Ozero( X ) }.
% 0.92/1.52 { ! class_Groups_Ogroup__add( X ), ! Z = c_Groups_Ouminus__class_Ouminus( X
% 0.92/1.52 , Y ), c_Groups_Oplus__class_Oplus( X, Z, Y ) =
% 0.92/1.52 c_Groups_Ozero__class_Ozero( X ) }.
% 0.92/1.52 { ! class_Groups_Ogroup__add( X ), ! c_Groups_Oplus__class_Oplus( X, Z, Y )
% 0.92/1.52 = c_Groups_Ozero__class_Ozero( X ), Z = c_Groups_Ouminus__class_Ouminus
% 0.92/1.52 ( X, Y ) }.
% 0.92/1.52 { ! class_Groups_Ogroup__add( X ), c_Groups_Oplus__class_Oplus( X, Y,
% 0.92/1.52 c_Groups_Ouminus__class_Ouminus( X, Y ) ) = c_Groups_Ozero__class_Ozero(
% 0.92/1.52 X ) }.
% 0.92/1.52 { ! class_Rings_Oordered__cancel__semiring( X ), !
% 0.92/1.52 c_Orderings_Oord__class_Oless__eq( X, c_Groups_Ozero__class_Ozero( X ), Z
% 0.92/1.52 ), ! c_Orderings_Oord__class_Oless__eq( X, Y,
% 0.92/1.52 c_Groups_Ozero__class_Ozero( X ) ), c_Orderings_Oord__class_Oless__eq( X
% 0.92/1.52 , c_Groups_Otimes__class_Otimes( X, Z, Y ), c_Groups_Ozero__class_Ozero(
% 0.92/1.52 X ) ) }.
% 0.92/1.52 { ! class_Rings_Oordered__cancel__semiring( X ), !
% 0.92/1.52 c_Orderings_Oord__class_Oless__eq( X, Z, c_Groups_Ozero__class_Ozero( X )
% 0.92/1.52 ), ! c_Orderings_Oord__class_Oless__eq( X, c_Groups_Ozero__class_Ozero(
% 0.92/1.52 X ), Y ), c_Orderings_Oord__class_Oless__eq( X,
% 0.92/1.52 c_Groups_Otimes__class_Otimes( X, Z, Y ), c_Groups_Ozero__class_Ozero( X
% 0.92/1.52 ) ) }.
% 0.92/1.52 { ! class_Rings_Oordered__ring( X ), ! c_Orderings_Oord__class_Oless__eq( X
% 0.92/1.52 , c_Groups_Ozero__class_Ozero( X ), Z ), !
% 0.92/1.52 c_Orderings_Oord__class_Oless__eq( X, c_Groups_Ozero__class_Ozero( X ), Y
% 0.92/1.52 ), c_Orderings_Oord__class_Oless__eq( X, c_Groups_Ozero__class_Ozero( X
% 0.92/1.52 ), c_Groups_Otimes__class_Otimes( X, Z, Y ) ) }.
% 0.92/1.52 { ! class_Rings_Oordered__ring( X ), ! c_Orderings_Oord__class_Oless__eq( X
% 0.92/1.52 , Z, c_Groups_Ozero__class_Ozero( X ) ), !
% 0.92/1.52 c_Orderings_Oord__class_Oless__eq( X, Y, c_Groups_Ozero__class_Ozero( X )
% 0.92/1.52 ), c_Orderings_Oord__class_Oless__eq( X, c_Groups_Ozero__class_Ozero( X
% 0.92/1.52 ), c_Groups_Otimes__class_Otimes( X, Z, Y ) ) }.
% 0.92/1.52 { ! class_Rings_Oordered__semiring( X ), !
% 0.92/1.52 c_Orderings_Oord__class_Oless__eq( X, Z, Y ), !
% 0.92/1.52 c_Orderings_Oord__class_Oless__eq( X, U, T ), !
% 0.92/1.52 c_Orderings_Oord__class_Oless__eq( X, c_Groups_Ozero__class_Ozero( X ), Y
% 0.92/1.52 ), ! c_Orderings_Oord__class_Oless__eq( X, c_Groups_Ozero__class_Ozero(
% 0.92/1.52 X ), U ), c_Orderings_Oord__class_Oless__eq( X,
% 0.92/1.52 c_Groups_Otimes__class_Otimes( X, Z, U ), c_Groups_Otimes__class_Otimes(
% 0.92/1.52 X, Y, T ) ) }.
% 0.92/1.52 { ! class_Rings_Oordered__semiring( X ), !
% 0.92/1.52 c_Orderings_Oord__class_Oless__eq( X, Z, Y ), !
% 0.92/1.52 c_Orderings_Oord__class_Oless__eq( X, U, T ), !
% 0.92/1.52 c_Orderings_Oord__class_Oless__eq( X, c_Groups_Ozero__class_Ozero( X ), Z
% 0.92/1.52 ), ! c_Orderings_Oord__class_Oless__eq( X, c_Groups_Ozero__class_Ozero(
% 0.92/1.52 X ), U ), c_Orderings_Oord__class_Oless__eq( X,
% 0.92/1.52 c_Groups_Otimes__class_Otimes( X, Z, U ), c_Groups_Otimes__class_Otimes(
% 0.92/1.52 X, Y, T ) ) }.
% 0.92/1.52 { ! class_Rings_Oordered__ring( X ), ! c_Orderings_Oord__class_Oless__eq( X
% 0.92/1.52 , Z, Y ), ! c_Orderings_Oord__class_Oless__eq( X, T,
% 0.92/1.52 c_Groups_Ozero__class_Ozero( X ) ), c_Orderings_Oord__class_Oless__eq( X
% 0.92/1.52 , c_Groups_Otimes__class_Otimes( X, T, Y ), c_Groups_Otimes__class_Otimes
% 0.92/1.52 ( X, T, Z ) ) }.
% 0.92/1.52 { ! class_Rings_Oordered__ring( X ), ! c_Orderings_Oord__class_Oless__eq( X
% 0.92/1.52 , Z, Y ), ! c_Orderings_Oord__class_Oless__eq( X, T,
% 0.92/1.52 c_Groups_Ozero__class_Ozero( X ) ), c_Orderings_Oord__class_Oless__eq( X
% 0.92/1.52 , c_Groups_Otimes__class_Otimes( X, Y, T ), c_Groups_Otimes__class_Otimes
% 0.92/1.52 ( X, Z, T ) ) }.
% 0.92/1.52 { ! class_Rings_Oordered__comm__semiring( X ), !
% 0.92/1.52 c_Orderings_Oord__class_Oless__eq( X, Z, Y ), !
% 0.92/1.52 c_Orderings_Oord__class_Oless__eq( X, c_Groups_Ozero__class_Ozero( X ), T
% 0.92/1.52 ), c_Orderings_Oord__class_Oless__eq( X, c_Groups_Otimes__class_Otimes(
% 0.92/1.52 X, T, Z ), c_Groups_Otimes__class_Otimes( X, T, Y ) ) }.
% 0.92/1.52 { ! class_Rings_Oordered__semiring( X ), !
% 0.92/1.52 c_Orderings_Oord__class_Oless__eq( X, Z, Y ), !
% 0.92/1.52 c_Orderings_Oord__class_Oless__eq( X, c_Groups_Ozero__class_Ozero( X ), T
% 0.92/1.52 ), c_Orderings_Oord__class_Oless__eq( X, c_Groups_Otimes__class_Otimes(
% 0.92/1.52 X, T, Z ), c_Groups_Otimes__class_Otimes( X, T, Y ) ) }.
% 0.92/1.52 { ! class_Rings_Oordered__semiring( X ), !
% 0.92/1.52 c_Orderings_Oord__class_Oless__eq( X, Z, Y ), !
% 0.92/1.52 c_Orderings_Oord__class_Oless__eq( X, c_Groups_Ozero__class_Ozero( X ), T
% 0.92/1.52 ), c_Orderings_Oord__class_Oless__eq( X, c_Groups_Otimes__class_Otimes(
% 0.92/1.52 X, Z, T ), c_Groups_Otimes__class_Otimes( X, Y, T ) ) }.
% 0.92/1.52 { ! class_Rings_Oordered__ring( X ), ! c_Orderings_Oord__class_Oless__eq( X
% 0.92/1.52 , Y, c_Groups_Ozero__class_Ozero( X ) ), !
% 0.92/1.52 c_Orderings_Oord__class_Oless__eq( X, Z, c_Groups_Ozero__class_Ozero( X )
% 0.92/1.52 ), c_Orderings_Oord__class_Oless__eq( X, c_Groups_Ozero__class_Ozero( X
% 0.92/1.52 ), c_Groups_Otimes__class_Otimes( X, Y, Z ) ) }.
% 0.92/1.52 { ! class_Rings_Oordered__cancel__semiring( X ), !
% 0.92/1.52 c_Orderings_Oord__class_Oless__eq( X, Y, c_Groups_Ozero__class_Ozero( X )
% 0.92/1.52 ), ! c_Orderings_Oord__class_Oless__eq( X, c_Groups_Ozero__class_Ozero(
% 0.92/1.52 X ), Z ), c_Orderings_Oord__class_Oless__eq( X,
% 0.92/1.52 c_Groups_Otimes__class_Otimes( X, Y, Z ), c_Groups_Ozero__class_Ozero( X
% 0.92/1.52 ) ) }.
% 0.92/1.52 { ! class_Rings_Oordered__cancel__semiring( X ), !
% 0.92/1.52 c_Orderings_Oord__class_Oless__eq( X, c_Groups_Ozero__class_Ozero( X ), Y
% 0.92/1.52 ), ! c_Orderings_Oord__class_Oless__eq( X, Z,
% 0.92/1.52 c_Groups_Ozero__class_Ozero( X ) ), c_Orderings_Oord__class_Oless__eq( X
% 0.92/1.52 , c_Groups_Otimes__class_Otimes( X, Z, Y ), c_Groups_Ozero__class_Ozero(
% 0.92/1.52 X ) ) }.
% 0.92/1.52 { ! class_Rings_Oordered__cancel__semiring( X ), !
% 0.92/1.52 c_Orderings_Oord__class_Oless__eq( X, c_Groups_Ozero__class_Ozero( X ), Y
% 0.92/1.52 ), ! c_Orderings_Oord__class_Oless__eq( X, Z,
% 0.92/1.52 c_Groups_Ozero__class_Ozero( X ) ), c_Orderings_Oord__class_Oless__eq( X
% 0.92/1.52 , c_Groups_Otimes__class_Otimes( X, Y, Z ), c_Groups_Ozero__class_Ozero(
% 0.92/1.52 X ) ) }.
% 0.92/1.52 { ! class_Rings_Oordered__cancel__semiring( X ), !
% 0.92/1.52 c_Orderings_Oord__class_Oless__eq( X, c_Groups_Ozero__class_Ozero( X ), Y
% 0.92/1.52 ), ! c_Orderings_Oord__class_Oless__eq( X, c_Groups_Ozero__class_Ozero(
% 0.92/1.52 X ), Z ), c_Orderings_Oord__class_Oless__eq( X,
% 0.92/1.52 c_Groups_Ozero__class_Ozero( X ), c_Groups_Otimes__class_Otimes( X, Y, Z
% 0.92/1.52 ) ) }.
% 0.92/1.52 { ! class_Rings_Olinordered__ring__strict( X ), !
% 0.92/1.52 c_Orderings_Oord__class_Oless__eq( X, c_Groups_Otimes__class_Otimes( X, Z
% 0.92/1.52 , Y ), c_Groups_Ozero__class_Ozero( X ) ), alpha7( X, Y, Z ), alpha36( X
% 0.92/1.52 , Y, Z ) }.
% 0.92/1.52 { ! class_Rings_Olinordered__ring__strict( X ), ! alpha7( X, Y, Z ),
% 0.92/1.52 c_Orderings_Oord__class_Oless__eq( X, c_Groups_Otimes__class_Otimes( X, Z
% 0.92/1.52 , Y ), c_Groups_Ozero__class_Ozero( X ) ) }.
% 0.92/1.52 { ! class_Rings_Olinordered__ring__strict( X ), ! alpha36( X, Y, Z ),
% 0.92/1.52 c_Orderings_Oord__class_Oless__eq( X, c_Groups_Otimes__class_Otimes( X, Z
% 0.92/1.52 , Y ), c_Groups_Ozero__class_Ozero( X ) ) }.
% 0.92/1.52 { ! alpha36( X, Y, Z ), c_Orderings_Oord__class_Oless__eq( X, Z,
% 0.92/1.52 c_Groups_Ozero__class_Ozero( X ) ) }.
% 0.92/1.52 { ! alpha36( X, Y, Z ), c_Orderings_Oord__class_Oless__eq( X,
% 0.92/1.52 c_Groups_Ozero__class_Ozero( X ), Y ) }.
% 0.92/1.52 { ! c_Orderings_Oord__class_Oless__eq( X, Z, c_Groups_Ozero__class_Ozero( X
% 0.92/1.52 ) ), ! c_Orderings_Oord__class_Oless__eq( X, c_Groups_Ozero__class_Ozero
% 0.92/1.52 ( X ), Y ), alpha36( X, Y, Z ) }.
% 0.92/1.52 { ! alpha7( X, Y, Z ), c_Orderings_Oord__class_Oless__eq( X,
% 0.92/1.52 c_Groups_Ozero__class_Ozero( X ), Z ) }.
% 0.92/1.52 { ! alpha7( X, Y, Z ), c_Orderings_Oord__class_Oless__eq( X, Y,
% 0.92/1.52 c_Groups_Ozero__class_Ozero( X ) ) }.
% 0.92/1.52 { ! c_Orderings_Oord__class_Oless__eq( X, c_Groups_Ozero__class_Ozero( X )
% 0.92/1.52 , Z ), ! c_Orderings_Oord__class_Oless__eq( X, Y,
% 0.92/1.52 c_Groups_Ozero__class_Ozero( X ) ), alpha7( X, Y, Z ) }.
% 0.92/1.52 { ! class_Rings_Olinordered__ring__strict( X ), !
% 0.92/1.52 c_Orderings_Oord__class_Oless__eq( X, c_Groups_Ozero__class_Ozero( X ),
% 0.92/1.52 c_Groups_Otimes__class_Otimes( X, Z, Y ) ), alpha8( X, Y, Z ), alpha37( X
% 0.92/1.52 , Y, Z ) }.
% 0.92/1.52 { ! class_Rings_Olinordered__ring__strict( X ), ! alpha8( X, Y, Z ),
% 0.92/1.52 c_Orderings_Oord__class_Oless__eq( X, c_Groups_Ozero__class_Ozero( X ),
% 0.92/1.52 c_Groups_Otimes__class_Otimes( X, Z, Y ) ) }.
% 0.92/1.52 { ! class_Rings_Olinordered__ring__strict( X ), ! alpha37( X, Y, Z ),
% 0.92/1.52 c_Orderings_Oord__class_Oless__eq( X, c_Groups_Ozero__class_Ozero( X ),
% 0.92/1.52 c_Groups_Otimes__class_Otimes( X, Z, Y ) ) }.
% 0.92/1.52 { ! alpha37( X, Y, Z ), c_Orderings_Oord__class_Oless__eq( X, Z,
% 0.92/1.52 c_Groups_Ozero__class_Ozero( X ) ) }.
% 0.92/1.52 { ! alpha37( X, Y, Z ), c_Orderings_Oord__class_Oless__eq( X, Y,
% 0.92/1.52 c_Groups_Ozero__class_Ozero( X ) ) }.
% 0.92/1.52 { ! c_Orderings_Oord__class_Oless__eq( X, Z, c_Groups_Ozero__class_Ozero( X
% 0.92/1.52 ) ), ! c_Orderings_Oord__class_Oless__eq( X, Y,
% 0.92/1.52 c_Groups_Ozero__class_Ozero( X ) ), alpha37( X, Y, Z ) }.
% 0.92/1.52 { ! alpha8( X, Y, Z ), c_Orderings_Oord__class_Oless__eq( X,
% 0.92/1.52 c_Groups_Ozero__class_Ozero( X ), Z ) }.
% 0.92/1.52 { ! alpha8( X, Y, Z ), c_Orderings_Oord__class_Oless__eq( X,
% 0.92/1.52 c_Groups_Ozero__class_Ozero( X ), Y ) }.
% 0.92/1.52 { ! c_Orderings_Oord__class_Oless__eq( X, c_Groups_Ozero__class_Ozero( X )
% 0.92/1.52 , Z ), ! c_Orderings_Oord__class_Oless__eq( X,
% 0.92/1.52 c_Groups_Ozero__class_Ozero( X ), Y ), alpha8( X, Y, Z ) }.
% 0.92/1.52 { ! class_Rings_Olinordered__ring( X ), c_Orderings_Oord__class_Oless__eq(
% 0.92/1.52 X, c_Groups_Ozero__class_Ozero( X ), c_Groups_Otimes__class_Otimes( X, Y
% 0.92/1.52 , Y ) ) }.
% 0.92/1.52 { ! class_Rings_Olinordered__ring( X ), ! c_Orderings_Oord__class_Oless( X
% 0.92/1.52 , c_Groups_Otimes__class_Otimes( X, Y, Y ), c_Groups_Ozero__class_Ozero(
% 0.92/1.52 X ) ) }.
% 0.92/1.52 { ! class_Rings_Olinordered__ring__strict( X ), !
% 0.92/1.52 c_Orderings_Oord__class_Oless( X, c_Groups_Otimes__class_Otimes( X, T, Z
% 0.92/1.52 ), c_Groups_Otimes__class_Otimes( X, Y, Z ) ), alpha9( X, Y, Z, T ),
% 0.92/1.52 alpha38( X, Y, Z, T ) }.
% 0.92/1.52 { ! class_Rings_Olinordered__ring__strict( X ), ! alpha9( X, Y, Z, T ),
% 0.92/1.52 c_Orderings_Oord__class_Oless( X, c_Groups_Otimes__class_Otimes( X, T, Z
% 0.92/1.52 ), c_Groups_Otimes__class_Otimes( X, Y, Z ) ) }.
% 0.92/1.52 { ! class_Rings_Olinordered__ring__strict( X ), ! alpha38( X, Y, Z, T ),
% 0.92/1.52 c_Orderings_Oord__class_Oless( X, c_Groups_Otimes__class_Otimes( X, T, Z
% 0.92/1.52 ), c_Groups_Otimes__class_Otimes( X, Y, Z ) ) }.
% 0.92/1.52 { ! alpha38( X, Y, Z, T ), c_Orderings_Oord__class_Oless( X, Z,
% 0.92/1.52 c_Groups_Ozero__class_Ozero( X ) ) }.
% 0.92/1.52 { ! alpha38( X, Y, Z, T ), c_Orderings_Oord__class_Oless( X, Y, T ) }.
% 0.92/1.52 { ! c_Orderings_Oord__class_Oless( X, Z, c_Groups_Ozero__class_Ozero( X ) )
% 0.92/1.52 , ! c_Orderings_Oord__class_Oless( X, Y, T ), alpha38( X, Y, Z, T ) }.
% 0.92/1.52 { ! alpha9( X, Y, Z, T ), c_Orderings_Oord__class_Oless( X,
% 0.92/1.52 c_Groups_Ozero__class_Ozero( X ), Z ) }.
% 0.92/1.52 { ! alpha9( X, Y, Z, T ), c_Orderings_Oord__class_Oless( X, T, Y ) }.
% 0.92/1.52 { ! c_Orderings_Oord__class_Oless( X, c_Groups_Ozero__class_Ozero( X ), Z )
% 0.92/1.52 , ! c_Orderings_Oord__class_Oless( X, T, Y ), alpha9( X, Y, Z, T ) }.
% 0.92/1.52 { ! class_Rings_Olinordered__ring__strict( X ), !
% 0.92/1.52 c_Orderings_Oord__class_Oless( X, c_Groups_Otimes__class_Otimes( X, T, Z
% 0.92/1.52 ), c_Groups_Otimes__class_Otimes( X, T, Y ) ), alpha10( X, Y, Z, T ),
% 0.92/1.52 alpha39( X, Y, Z, T ) }.
% 0.92/1.52 { ! class_Rings_Olinordered__ring__strict( X ), ! alpha10( X, Y, Z, T ),
% 0.92/1.52 c_Orderings_Oord__class_Oless( X, c_Groups_Otimes__class_Otimes( X, T, Z
% 0.92/1.52 ), c_Groups_Otimes__class_Otimes( X, T, Y ) ) }.
% 0.92/1.52 { ! class_Rings_Olinordered__ring__strict( X ), ! alpha39( X, Y, Z, T ),
% 0.92/1.52 c_Orderings_Oord__class_Oless( X, c_Groups_Otimes__class_Otimes( X, T, Z
% 0.92/1.52 ), c_Groups_Otimes__class_Otimes( X, T, Y ) ) }.
% 0.92/1.52 { ! alpha39( X, Y, Z, T ), c_Orderings_Oord__class_Oless( X, T,
% 0.92/1.52 c_Groups_Ozero__class_Ozero( X ) ) }.
% 0.92/1.52 { ! alpha39( X, Y, Z, T ), c_Orderings_Oord__class_Oless( X, Y, Z ) }.
% 0.92/1.52 { ! c_Orderings_Oord__class_Oless( X, T, c_Groups_Ozero__class_Ozero( X ) )
% 0.92/1.52 , ! c_Orderings_Oord__class_Oless( X, Y, Z ), alpha39( X, Y, Z, T ) }.
% 0.92/1.52 { ! alpha10( X, Y, Z, T ), c_Orderings_Oord__class_Oless( X,
% 0.92/1.52 c_Groups_Ozero__class_Ozero( X ), T ) }.
% 0.92/1.52 { ! alpha10( X, Y, Z, T ), c_Orderings_Oord__class_Oless( X, Z, Y ) }.
% 0.92/1.52 { ! c_Orderings_Oord__class_Oless( X, c_Groups_Ozero__class_Ozero( X ), T )
% 0.92/1.52 , ! c_Orderings_Oord__class_Oless( X, Z, Y ), alpha10( X, Y, Z, T ) }.
% 0.92/1.52 { ! class_Rings_Olinordered__ring__strict( X ), !
% 0.92/1.52 c_Orderings_Oord__class_Oless( X, c_Groups_Ozero__class_Ozero( X ), Y ),
% 0.92/1.52 ! c_Orderings_Oord__class_Oless( X, c_Groups_Otimes__class_Otimes( X, Y,
% 0.92/1.52 T ), c_Groups_Otimes__class_Otimes( X, Y, Z ) ),
% 0.92/1.52 c_Orderings_Oord__class_Oless( X, T, Z ) }.
% 0.92/1.52 { ! class_Rings_Olinordered__ring__strict( X ), !
% 0.92/1.52 c_Orderings_Oord__class_Oless( X, c_Groups_Ozero__class_Ozero( X ), Y ),
% 0.92/1.52 ! c_Orderings_Oord__class_Oless( X, T, Z ), c_Orderings_Oord__class_Oless
% 0.92/1.52 ( X, c_Groups_Otimes__class_Otimes( X, Y, T ),
% 0.92/1.52 c_Groups_Otimes__class_Otimes( X, Y, Z ) ) }.
% 0.92/1.52 { ! class_Rings_Olinordered__semiring__strict( X ), !
% 0.92/1.52 c_Orderings_Oord__class_Oless( X, c_Groups_Ozero__class_Ozero( X ), Y ),
% 0.92/1.52 ! c_Orderings_Oord__class_Oless( X, c_Groups_Ozero__class_Ozero( X ), Z )
% 0.92/1.52 , c_Orderings_Oord__class_Oless( X, c_Groups_Ozero__class_Ozero( X ),
% 0.92/1.52 c_Groups_Otimes__class_Otimes( X, Y, Z ) ) }.
% 0.92/1.52 { ! class_Rings_Olinordered__semiring__strict( X ), !
% 0.92/1.52 c_Orderings_Oord__class_Oless( X, c_Groups_Ozero__class_Ozero( X ), Y ),
% 0.92/1.52 ! c_Orderings_Oord__class_Oless( X, Z, c_Groups_Ozero__class_Ozero( X ) )
% 0.92/1.52 , c_Orderings_Oord__class_Oless( X, c_Groups_Otimes__class_Otimes( X, Y,
% 0.92/1.52 Z ), c_Groups_Ozero__class_Ozero( X ) ) }.
% 0.92/1.52 { ! class_Rings_Olinordered__semiring__strict( X ), !
% 0.92/1.52 c_Orderings_Oord__class_Oless( X, c_Groups_Ozero__class_Ozero( X ), Y ),
% 0.92/1.52 ! c_Orderings_Oord__class_Oless( X, Z, c_Groups_Ozero__class_Ozero( X ) )
% 0.92/1.52 , c_Orderings_Oord__class_Oless( X, c_Groups_Otimes__class_Otimes( X, Z,
% 0.92/1.52 Y ), c_Groups_Ozero__class_Ozero( X ) ) }.
% 0.92/1.52 { ! class_Rings_Olinordered__semiring__strict( X ), !
% 0.92/1.52 c_Orderings_Oord__class_Oless( X, c_Groups_Ozero__class_Ozero( X ),
% 0.92/1.52 c_Groups_Otimes__class_Otimes( X, Z, Y ) ), !
% 0.92/1.52 c_Orderings_Oord__class_Oless( X, c_Groups_Ozero__class_Ozero( X ), Z ),
% 0.92/1.52 c_Orderings_Oord__class_Oless( X, c_Groups_Ozero__class_Ozero( X ), Y ) }
% 0.92/1.52 .
% 0.92/1.52 { ! class_Rings_Olinordered__semiring__strict( X ), !
% 0.92/1.52 c_Orderings_Oord__class_Oless( X, c_Groups_Ozero__class_Ozero( X ),
% 0.92/1.52 c_Groups_Otimes__class_Otimes( X, Z, Y ) ), !
% 0.92/1.52 c_Orderings_Oord__class_Oless( X, c_Groups_Ozero__class_Ozero( X ), Y ),
% 0.92/1.52 c_Orderings_Oord__class_Oless( X, c_Groups_Ozero__class_Ozero( X ), Z ) }
% 0.92/1.52 .
% 0.92/1.52 { ! class_Rings_Olinordered__ring__strict( X ), !
% 0.92/1.52 c_Orderings_Oord__class_Oless( X, Y, c_Groups_Ozero__class_Ozero( X ) ),
% 0.92/1.52 ! c_Orderings_Oord__class_Oless( X, c_Groups_Otimes__class_Otimes( X, Y,
% 0.92/1.52 T ), c_Groups_Otimes__class_Otimes( X, Y, Z ) ),
% 0.92/1.52 c_Orderings_Oord__class_Oless( X, Z, T ) }.
% 0.92/1.52 { ! class_Rings_Olinordered__ring__strict( X ), !
% 0.92/1.52 c_Orderings_Oord__class_Oless( X, Y, c_Groups_Ozero__class_Ozero( X ) ),
% 0.92/1.52 ! c_Orderings_Oord__class_Oless( X, Z, T ), c_Orderings_Oord__class_Oless
% 0.92/1.52 ( X, c_Groups_Otimes__class_Otimes( X, Y, T ),
% 0.92/1.52 c_Groups_Otimes__class_Otimes( X, Y, Z ) ) }.
% 0.92/1.52 { ! class_Rings_Olinordered__semiring__strict( X ), !
% 0.92/1.52 c_Orderings_Oord__class_Oless( X, Y, c_Groups_Ozero__class_Ozero( X ) ),
% 0.92/1.52 ! c_Orderings_Oord__class_Oless( X, c_Groups_Ozero__class_Ozero( X ), Z )
% 0.92/1.52 , c_Orderings_Oord__class_Oless( X, c_Groups_Otimes__class_Otimes( X, Y,
% 0.92/1.52 Z ), c_Groups_Ozero__class_Ozero( X ) ) }.
% 0.92/1.52 { ! class_Rings_Olinordered__ring__strict( X ), !
% 0.92/1.52 c_Orderings_Oord__class_Oless( X, Y, c_Groups_Ozero__class_Ozero( X ) ),
% 0.92/1.52 ! c_Orderings_Oord__class_Oless( X, Z, c_Groups_Ozero__class_Ozero( X ) )
% 0.92/1.52 , c_Orderings_Oord__class_Oless( X, c_Groups_Ozero__class_Ozero( X ),
% 0.92/1.52 c_Groups_Otimes__class_Otimes( X, Y, Z ) ) }.
% 0.92/1.52 { ! class_Rings_Olinordered__semiring__strict( X ), !
% 0.92/1.52 c_Orderings_Oord__class_Oless( X, Z, Y ), ! c_Orderings_Oord__class_Oless
% 0.92/1.52 ( X, c_Groups_Ozero__class_Ozero( X ), T ), c_Orderings_Oord__class_Oless
% 0.92/1.52 ( X, c_Groups_Otimes__class_Otimes( X, Z, T ),
% 0.92/1.52 c_Groups_Otimes__class_Otimes( X, Y, T ) ) }.
% 0.92/1.52 { ! class_Rings_Olinordered__semiring__strict( X ), !
% 0.92/1.52 c_Orderings_Oord__class_Oless( X, Z, Y ), ! c_Orderings_Oord__class_Oless
% 0.92/1.52 ( X, c_Groups_Ozero__class_Ozero( X ), T ), c_Orderings_Oord__class_Oless
% 0.92/1.52 ( X, c_Groups_Otimes__class_Otimes( X, T, Z ),
% 0.92/1.52 c_Groups_Otimes__class_Otimes( X, T, Y ) ) }.
% 0.92/1.52 { ! class_Rings_Olinordered__comm__semiring__strict( X ), !
% 0.92/1.52 c_Orderings_Oord__class_Oless( X, Z, Y ), ! c_Orderings_Oord__class_Oless
% 0.92/1.52 ( X, c_Groups_Ozero__class_Ozero( X ), T ), c_Orderings_Oord__class_Oless
% 0.92/1.52 ( X, c_Groups_Otimes__class_Otimes( X, T, Z ),
% 0.92/1.52 c_Groups_Otimes__class_Otimes( X, T, Y ) ) }.
% 0.92/1.52 { ! class_Rings_Olinordered__ring__strict( X ), !
% 0.92/1.52 c_Orderings_Oord__class_Oless( X, Z, Y ), ! c_Orderings_Oord__class_Oless
% 0.92/1.52 ( X, T, c_Groups_Ozero__class_Ozero( X ) ), c_Orderings_Oord__class_Oless
% 0.92/1.52 ( X, c_Groups_Otimes__class_Otimes( X, Y, T ),
% 0.92/1.52 c_Groups_Otimes__class_Otimes( X, Z, T ) ) }.
% 0.92/1.52 { ! class_Rings_Olinordered__ring__strict( X ), !
% 0.92/1.52 c_Orderings_Oord__class_Oless( X, Z, Y ), ! c_Orderings_Oord__class_Oless
% 0.92/1.52 ( X, T, c_Groups_Ozero__class_Ozero( X ) ), c_Orderings_Oord__class_Oless
% 0.92/1.52 ( X, c_Groups_Otimes__class_Otimes( X, T, Y ),
% 0.92/1.52 c_Groups_Otimes__class_Otimes( X, T, Z ) ) }.
% 0.92/1.52 { ! class_Int_Onumber__ring( X ), c_Groups_Oplus__class_Oplus( X, Y,
% 0.92/1.52 c_Int_Onumber__class_Onumber__of( X, c_Int_OPls ) ) = Y }.
% 0.92/1.52 { ! class_Int_Onumber__ring( X ), c_Groups_Oplus__class_Oplus( X,
% 0.92/1.52 c_Int_Onumber__class_Onumber__of( X, c_Int_OPls ), Y ) = Y }.
% 0.92/1.52 { ! class_Rings_Olinordered__semidom( X ), ! c_Orderings_Oord__class_Oless
% 0.92/1.52 ( X, c_Groups_Oone__class_Oone( X ), Y ), ! c_Orderings_Oord__class_Oless
% 0.92/1.52 ( X, c_Groups_Oone__class_Oone( X ), Z ), c_Orderings_Oord__class_Oless(
% 0.92/1.52 X, c_Groups_Oone__class_Oone( X ), c_Groups_Otimes__class_Otimes( X, Y, Z
% 0.92/1.52 ) ) }.
% 0.92/1.52 { ! class_Rings_Odivision__ring( X ), Y = c_Groups_Ozero__class_Ozero( X )
% 0.92/1.52 , ! T = c_Rings_Oinverse__class_Odivide( X, Z, Y ),
% 0.92/1.52 c_Groups_Otimes__class_Otimes( X, T, Y ) = Z }.
% 0.92/1.52 { ! class_Rings_Odivision__ring( X ), Y = c_Groups_Ozero__class_Ozero( X )
% 0.92/1.52 , ! c_Groups_Otimes__class_Otimes( X, T, Y ) = Z, T =
% 0.92/1.52 c_Rings_Oinverse__class_Odivide( X, Z, Y ) }.
% 0.92/1.52 { ! class_Rings_Odivision__ring( X ), Y = c_Groups_Ozero__class_Ozero( X )
% 0.92/1.52 , ! c_Rings_Oinverse__class_Odivide( X, T, Y ) = Z, T =
% 0.92/1.52 c_Groups_Otimes__class_Otimes( X, Z, Y ) }.
% 0.92/1.52 { ! class_Rings_Odivision__ring( X ), Y = c_Groups_Ozero__class_Ozero( X )
% 0.92/1.52 , ! T = c_Groups_Otimes__class_Otimes( X, Z, Y ),
% 0.92/1.52 c_Rings_Oinverse__class_Odivide( X, T, Y ) = Z }.
% 0.92/1.52 { ! class_Rings_Odivision__ring( X ), Y = c_Groups_Ozero__class_Ozero( X )
% 0.92/1.52 , ! T = c_Groups_Otimes__class_Otimes( X, Z, Y ),
% 0.92/1.52 c_Rings_Oinverse__class_Odivide( X, T, Y ) = Z }.
% 0.92/1.52 { ! class_Rings_Odivision__ring( X ), Y = c_Groups_Ozero__class_Ozero( X )
% 0.92/1.52 , ! c_Groups_Otimes__class_Otimes( X, T, Y ) = Z, T =
% 0.92/1.52 c_Rings_Oinverse__class_Odivide( X, Z, Y ) }.
% 0.92/1.52 { ! class_Fields_Ofield__inverse__zero( X ), ! T =
% 0.92/1.52 c_Rings_Oinverse__class_Odivide( X, Z, Y ), alpha40( X, Y, Z, T ) }.
% 0.92/1.52 { ! class_Fields_Ofield__inverse__zero( X ), ! T =
% 0.92/1.52 c_Rings_Oinverse__class_Odivide( X, Z, Y ), alpha11( X, Y, T ) }.
% 0.92/1.52 { ! class_Fields_Ofield__inverse__zero( X ), ! alpha40( X, Y, Z, T ), !
% 0.92/1.52 alpha11( X, Y, T ), T = c_Rings_Oinverse__class_Odivide( X, Z, Y ) }.
% 0.92/1.52 { ! alpha40( X, Y, Z, T ), Y = c_Groups_Ozero__class_Ozero( X ),
% 0.92/1.52 c_Groups_Otimes__class_Otimes( X, T, Y ) = Z }.
% 0.92/1.52 { ! Y = c_Groups_Ozero__class_Ozero( X ), alpha40( X, Y, Z, T ) }.
% 0.92/1.52 { ! c_Groups_Otimes__class_Otimes( X, T, Y ) = Z, alpha40( X, Y, Z, T ) }.
% 0.92/1.52 { ! alpha11( X, Y, Z ), ! Y = c_Groups_Ozero__class_Ozero( X ), Z =
% 0.92/1.52 c_Groups_Ozero__class_Ozero( X ) }.
% 0.92/1.52 { Y = c_Groups_Ozero__class_Ozero( X ), alpha11( X, Y, Z ) }.
% 0.92/1.52 { ! Z = c_Groups_Ozero__class_Ozero( X ), alpha11( X, Y, Z ) }.
% 0.92/1.52 { ! class_Fields_Ofield__inverse__zero( X ), !
% 0.92/1.52 c_Rings_Oinverse__class_Odivide( X, T, Z ) = Y, alpha41( X, Y, Z, T ) }.
% 0.92/1.52 { ! class_Fields_Ofield__inverse__zero( X ), !
% 0.92/1.52 c_Rings_Oinverse__class_Odivide( X, T, Z ) = Y, alpha12( X, Y, Z ) }.
% 0.92/1.52 { ! class_Fields_Ofield__inverse__zero( X ), ! alpha41( X, Y, Z, T ), !
% 0.92/1.52 alpha12( X, Y, Z ), c_Rings_Oinverse__class_Odivide( X, T, Z ) = Y }.
% 0.92/1.52 { ! alpha41( X, Y, Z, T ), Z = c_Groups_Ozero__class_Ozero( X ), T =
% 0.92/1.52 c_Groups_Otimes__class_Otimes( X, Y, Z ) }.
% 0.92/1.52 { ! Z = c_Groups_Ozero__class_Ozero( X ), alpha41( X, Y, Z, T ) }.
% 0.92/1.52 { ! T = c_Groups_Otimes__class_Otimes( X, Y, Z ), alpha41( X, Y, Z, T ) }.
% 0.92/1.52 { ! alpha12( X, Y, Z ), ! Z = c_Groups_Ozero__class_Ozero( X ), Y =
% 0.92/1.52 c_Groups_Ozero__class_Ozero( X ) }.
% 0.92/1.52 { Z = c_Groups_Ozero__class_Ozero( X ), alpha12( X, Y, Z ) }.
% 0.92/1.52 { ! Y = c_Groups_Ozero__class_Ozero( X ), alpha12( X, Y, Z ) }.
% 0.92/1.52 { ! class_Fields_Ofield__inverse__zero( X ), Y =
% 0.92/1.52 c_Groups_Ozero__class_Ozero( X ), c_Rings_Oinverse__class_Odivide( X,
% 0.92/1.52 c_Groups_Otimes__class_Otimes( X, T, Y ), c_Groups_Otimes__class_Otimes(
% 0.92/1.52 X, Z, Y ) ) = c_Rings_Oinverse__class_Odivide( X, T, Z ) }.
% 0.92/1.52 { ! class_Fields_Ofield__inverse__zero( X ), Y =
% 0.92/1.52 c_Groups_Ozero__class_Ozero( X ), c_Rings_Oinverse__class_Odivide( X,
% 0.92/1.52 c_Groups_Otimes__class_Otimes( X, Y, T ), c_Groups_Otimes__class_Otimes(
% 0.92/1.52 X, Y, Z ) ) = c_Rings_Oinverse__class_Odivide( X, T, Z ) }.
% 0.92/1.52 { ! class_Fields_Ofield( X ), Y = c_Groups_Ozero__class_Ozero( X ), Z =
% 0.92/1.52 c_Groups_Ozero__class_Ozero( X ), ! c_Rings_Oinverse__class_Odivide( X, U
% 0.92/1.52 , Y ) = c_Rings_Oinverse__class_Odivide( X, T, Z ),
% 0.92/1.52 c_Groups_Otimes__class_Otimes( X, U, Z ) = c_Groups_Otimes__class_Otimes
% 0.92/1.52 ( X, T, Y ) }.
% 0.92/1.52 { ! class_Fields_Ofield( X ), Y = c_Groups_Ozero__class_Ozero( X ), Z =
% 0.92/1.52 c_Groups_Ozero__class_Ozero( X ), ! c_Groups_Otimes__class_Otimes( X, U,
% 0.92/1.52 Z ) = c_Groups_Otimes__class_Otimes( X, T, Y ),
% 0.92/1.52 c_Rings_Oinverse__class_Odivide( X, U, Y ) =
% 0.92/1.52 c_Rings_Oinverse__class_Odivide( X, T, Z ) }.
% 0.92/1.52 { ! class_Rings_Oring__1__no__zero__divisors( X ), !
% 0.92/1.52 c_Groups_Otimes__class_Otimes( X, Y, Y ) = c_Groups_Oone__class_Oone( X )
% 0.92/1.52 , Y = c_Groups_Oone__class_Oone( X ), Y = c_Groups_Ouminus__class_Ouminus
% 0.92/1.52 ( X, c_Groups_Oone__class_Oone( X ) ) }.
% 0.92/1.52 { ! class_Rings_Oring__1__no__zero__divisors( X ), ! Y =
% 0.92/1.52 c_Groups_Oone__class_Oone( X ), c_Groups_Otimes__class_Otimes( X, Y, Y )
% 0.92/1.52 = c_Groups_Oone__class_Oone( X ) }.
% 0.92/1.52 { ! class_Rings_Oring__1__no__zero__divisors( X ), ! Y =
% 0.92/1.52 c_Groups_Ouminus__class_Ouminus( X, c_Groups_Oone__class_Oone( X ) ),
% 0.92/1.52 c_Groups_Otimes__class_Otimes( X, Y, Y ) = c_Groups_Oone__class_Oone( X )
% 0.92/1.52 }.
% 0.92/1.52 { ! c_Orderings_Oord__class_Oless( tc_RealDef_Oreal,
% 0.92/1.52 c_Groups_Ozero__class_Ozero( tc_RealDef_Oreal ), X ), !
% 0.92/1.52 c_Orderings_Oord__class_Oless( tc_RealDef_Oreal,
% 0.92/1.52 c_Groups_Otimes__class_Otimes( tc_RealDef_Oreal, Z, X ),
% 0.92/1.52 c_Groups_Otimes__class_Otimes( tc_RealDef_Oreal, Y, X ) ),
% 0.92/1.52 c_Orderings_Oord__class_Oless( tc_RealDef_Oreal, Z, Y ) }.
% 0.92/1.52 { ! c_Orderings_Oord__class_Oless( tc_RealDef_Oreal,
% 0.92/1.52 c_Groups_Ozero__class_Ozero( tc_RealDef_Oreal ), X ), !
% 0.92/1.52 c_Orderings_Oord__class_Oless( tc_RealDef_Oreal, Z, Y ),
% 0.92/1.52 c_Orderings_Oord__class_Oless( tc_RealDef_Oreal,
% 0.92/1.52 c_Groups_Otimes__class_Otimes( tc_RealDef_Oreal, Z, X ),
% 0.92/1.52 c_Groups_Otimes__class_Otimes( tc_RealDef_Oreal, Y, X ) ) }.
% 0.92/1.52 { ! c_Orderings_Oord__class_Oless( tc_RealDef_Oreal,
% 0.92/1.52 c_Groups_Ozero__class_Ozero( tc_RealDef_Oreal ), X ), !
% 0.92/1.52 c_Orderings_Oord__class_Oless( tc_RealDef_Oreal,
% 0.92/1.52 c_Groups_Ozero__class_Ozero( tc_RealDef_Oreal ), Y ),
% 0.92/1.52 c_Orderings_Oord__class_Oless( tc_RealDef_Oreal,
% 0.92/1.52 c_Groups_Ozero__class_Ozero( tc_RealDef_Oreal ),
% 0.92/1.52 c_Groups_Otimes__class_Otimes( tc_RealDef_Oreal, X, Y ) ) }.
% 0.92/1.52 { ! c_Orderings_Oord__class_Oless( tc_RealDef_Oreal,
% 0.92/1.52 c_Groups_Ozero__class_Ozero( tc_RealDef_Oreal ), X ), !
% 0.92/1.52 c_Orderings_Oord__class_Oless( tc_RealDef_Oreal, Z, Y ),
% 0.92/1.52 c_Orderings_Oord__class_Oless( tc_RealDef_Oreal,
% 0.92/1.52 c_Groups_Otimes__class_Otimes( tc_RealDef_Oreal, X, Z ),
% 0.92/1.52 c_Groups_Otimes__class_Otimes( tc_RealDef_Oreal, X, Y ) ) }.
% 0.92/1.52 { c_Orderings_Oord__class_Oless( tc_RealDef_Oreal,
% 0.92/1.52 c_Groups_Ozero__class_Ozero( tc_RealDef_Oreal ),
% 0.92/1.52 c_Groups_Otimes__class_Otimes( tc_RealDef_Oreal, X, X ) ), X =
% 0.92/1.52 c_Groups_Ozero__class_Ozero( tc_RealDef_Oreal ) }.
% 0.92/1.52 { ! X = c_Groups_Ozero__class_Ozero( tc_RealDef_Oreal ), !
% 0.92/1.52 c_Orderings_Oord__class_Oless( tc_RealDef_Oreal,
% 0.92/1.52 c_Groups_Ozero__class_Ozero( tc_RealDef_Oreal ),
% 0.92/1.52 c_Groups_Otimes__class_Otimes( tc_RealDef_Oreal, X, X ) ) }.
% 0.92/1.52 { ! c_Groups_Oplus__class_Oplus( tc_RealDef_Oreal, Y,
% 0.92/1.52 c_Groups_Ouminus__class_Ouminus( tc_RealDef_Oreal, X ) ) =
% 0.92/1.52 c_Groups_Ozero__class_Ozero( tc_RealDef_Oreal ), Y = X }.
% 0.92/1.52 { ! Y = X, c_Groups_Oplus__class_Oplus( tc_RealDef_Oreal, Y,
% 0.92/1.52 c_Groups_Ouminus__class_Ouminus( tc_RealDef_Oreal, X ) ) =
% 0.92/1.52 c_Groups_Ozero__class_Ozero( tc_RealDef_Oreal ) }.
% 0.92/1.52 { ! c_Groups_Oplus__class_Oplus( tc_RealDef_Oreal, Y, X ) =
% 0.92/1.52 c_Groups_Ozero__class_Ozero( tc_RealDef_Oreal ), X =
% 0.92/1.52 c_Groups_Ouminus__class_Ouminus( tc_RealDef_Oreal, Y ) }.
% 0.92/1.52 { ! X = c_Groups_Ouminus__class_Ouminus( tc_RealDef_Oreal, Y ),
% 0.92/1.52 c_Groups_Oplus__class_Oplus( tc_RealDef_Oreal, Y, X ) =
% 0.92/1.52 c_Groups_Ozero__class_Ozero( tc_RealDef_Oreal ) }.
% 0.92/1.52 { c_Orderings_Oord__class_Oless__eq( tc_RealDef_Oreal,
% 0.92/1.52 c_Groups_Ouminus__class_Ouminus( tc_RealDef_Oreal,
% 0.92/1.52 c_Groups_Otimes__class_Otimes( tc_RealDef_Oreal, Y, Y ) ),
% 0.92/1.52 c_Groups_Otimes__class_Otimes( tc_RealDef_Oreal, X, X ) ) }.
% 0.92/1.52 { c_Transcendental_Otan( c_Groups_Oplus__class_Oplus( tc_RealDef_Oreal, X,
% 0.92/1.52 c_Transcendental_Opi ) ) = c_Transcendental_Otan( X ) }.
% 0.92/1.52 { c_Transcendental_Ocos( X ) = c_Groups_Ozero__class_Ozero(
% 0.92/1.52 tc_RealDef_Oreal ), c_Transcendental_Ocos( Y ) =
% 0.92/1.52 c_Groups_Ozero__class_Ozero( tc_RealDef_Oreal ),
% 0.92/1.52 c_Groups_Oplus__class_Oplus( tc_RealDef_Oreal, c_Transcendental_Otan( X )
% 0.92/1.52 , c_Transcendental_Otan( Y ) ) = c_Rings_Oinverse__class_Odivide(
% 0.92/1.52 tc_RealDef_Oreal, c_Transcendental_Osin( c_Groups_Oplus__class_Oplus(
% 0.92/1.52 tc_RealDef_Oreal, X, Y ) ), c_Groups_Otimes__class_Otimes(
% 0.92/1.52 tc_RealDef_Oreal, c_Transcendental_Ocos( X ), c_Transcendental_Ocos( Y )
% 0.92/1.52 ) ) }.
% 0.92/1.52 { ! class_Groups_Oordered__comm__monoid__add( X ), !
% 0.92/1.52 c_Orderings_Oord__class_Oless( X, c_Groups_Ozero__class_Ozero( X ), Y ),
% 0.92/1.52 ! c_Orderings_Oord__class_Oless__eq( X, c_Groups_Ozero__class_Ozero( X )
% 0.92/1.52 , Z ), c_Orderings_Oord__class_Oless( X, c_Groups_Ozero__class_Ozero( X )
% 0.92/1.52 , c_Groups_Oplus__class_Oplus( X, Y, Z ) ) }.
% 0.92/1.52 { ! class_Groups_Oordered__comm__monoid__add( X ), !
% 0.92/1.52 c_Orderings_Oord__class_Oless__eq( X, c_Groups_Ozero__class_Ozero( X ), Y
% 0.92/1.52 ), ! c_Orderings_Oord__class_Oless( X, c_Groups_Ozero__class_Ozero( X )
% 0.92/1.52 , Z ), c_Orderings_Oord__class_Oless( X, c_Groups_Ozero__class_Ozero( X )
% 0.92/1.52 , c_Groups_Oplus__class_Oplus( X, Y, Z ) ) }.
% 0.92/1.52 { ! class_Groups_Oordered__comm__monoid__add( X ), !
% 0.92/1.52 c_Orderings_Oord__class_Oless( X, c_Groups_Ozero__class_Ozero( X ), Y ),
% 0.92/1.52 ! c_Orderings_Oord__class_Oless__eq( X, T, Z ),
% 0.92/1.52 c_Orderings_Oord__class_Oless( X, T, c_Groups_Oplus__class_Oplus( X, Y, Z
% 0.92/1.52 ) ) }.
% 0.92/1.52 { ! class_Groups_Oordered__comm__monoid__add( X ), !
% 0.92/1.52 c_Orderings_Oord__class_Oless__eq( X, c_Groups_Ozero__class_Ozero( X ), Y
% 0.92/1.52 ), ! c_Orderings_Oord__class_Oless( X, T, Z ),
% 0.92/1.52 c_Orderings_Oord__class_Oless( X, T, c_Groups_Oplus__class_Oplus( X, Y, Z
% 0.92/1.52 ) ) }.
% 0.92/1.52 { ! class_Groups_Oordered__comm__monoid__add( X ), !
% 0.92/1.52 c_Orderings_Oord__class_Oless( X, Y, c_Groups_Ozero__class_Ozero( X ) ),
% 0.92/1.52 ! c_Orderings_Oord__class_Oless__eq( X, Z, c_Groups_Ozero__class_Ozero( X
% 0.92/1.52 ) ), c_Orderings_Oord__class_Oless( X, c_Groups_Oplus__class_Oplus( X, Y
% 0.92/1.52 , Z ), c_Groups_Ozero__class_Ozero( X ) ) }.
% 0.92/1.52 { ! class_Groups_Oordered__comm__monoid__add( X ), !
% 0.92/1.52 c_Orderings_Oord__class_Oless__eq( X, Y, c_Groups_Ozero__class_Ozero( X )
% 0.92/1.52 ), ! c_Orderings_Oord__class_Oless( X, Z, c_Groups_Ozero__class_Ozero( X
% 0.92/1.52 ) ), c_Orderings_Oord__class_Oless( X, c_Groups_Oplus__class_Oplus( X, Y
% 0.92/1.52 , Z ), c_Groups_Ozero__class_Ozero( X ) ) }.
% 0.92/1.52 { ! class_Rings_Olinordered__semidom( X ), c_Orderings_Oord__class_Oless( X
% 0.92/1.52 , c_Groups_Ozero__class_Ozero( X ), c_Groups_Oplus__class_Oplus( X,
% 0.92/1.52 c_Groups_Oone__class_Oone( X ), c_Groups_Oone__class_Oone( X ) ) ) }.
% 0.92/1.52 { ! class_Rings_Olinordered__ring__strict( X ), !
% 0.92/1.52 c_Orderings_Oord__class_Oless( X, c_Groups_Ozero__class_Ozero( X ), Y ),
% 0.92/1.52 ! c_Orderings_Oord__class_Oless__eq( X, c_Groups_Otimes__class_Otimes( X
% 0.92/1.52 , Y, T ), c_Groups_Otimes__class_Otimes( X, Y, Z ) ),
% 0.92/1.52 c_Orderings_Oord__class_Oless__eq( X, T, Z ) }.
% 0.92/1.52 { ! class_Rings_Olinordered__ring__strict( X ), !
% 0.92/1.53 c_Orderings_Oord__class_Oless( X, c_Groups_Ozero__class_Ozero( X ), Y ),
% 0.92/1.53 ! c_Orderings_Oord__class_Oless__eq( X, T, Z ),
% 0.92/1.53 c_Orderings_Oord__class_Oless__eq( X, c_Groups_Otimes__class_Otimes( X, Y
% 0.92/1.53 , T ), c_Groups_Otimes__class_Otimes( X, Y, Z ) ) }.
% 0.92/1.53 { ! class_Rings_Olinordered__ring__strict( X ), !
% 0.92/1.53 c_Orderings_Oord__class_Oless( X, Y, c_Groups_Ozero__class_Ozero( X ) ),
% 0.92/1.53 ! c_Orderings_Oord__class_Oless__eq( X, c_Groups_Otimes__class_Otimes( X
% 0.92/1.53 , Y, T ), c_Groups_Otimes__class_Otimes( X, Y, Z ) ),
% 0.92/1.53 c_Orderings_Oord__class_Oless__eq( X, Z, T ) }.
% 0.92/1.53 { ! class_Rings_Olinordered__ring__strict( X ), !
% 0.92/1.53 c_Orderings_Oord__class_Oless( X, Y, c_Groups_Ozero__class_Ozero( X ) ),
% 0.92/1.53 ! c_Orderings_Oord__class_Oless__eq( X, Z, T ),
% 0.92/1.53 c_Orderings_Oord__class_Oless__eq( X, c_Groups_Otimes__class_Otimes( X, Y
% 0.92/1.53 , T ), c_Groups_Otimes__class_Otimes( X, Y, Z ) ) }.
% 0.92/1.53 { ! class_Rings_Olinordered__semiring__strict( X ), !
% 0.92/1.53 c_Orderings_Oord__class_Oless( X, Z, Y ), ! c_Orderings_Oord__class_Oless
% 0.92/1.53 ( X, U, T ), ! c_Orderings_Oord__class_Oless( X,
% 0.92/1.53 c_Groups_Ozero__class_Ozero( X ), Y ), !
% 0.92/1.53 c_Orderings_Oord__class_Oless__eq( X, c_Groups_Ozero__class_Ozero( X ), U
% 0.92/1.53 ), c_Orderings_Oord__class_Oless( X, c_Groups_Otimes__class_Otimes( X, Z
% 0.92/1.53 , U ), c_Groups_Otimes__class_Otimes( X, Y, T ) ) }.
% 0.92/1.53 { ! class_Rings_Olinordered__semiring__strict( X ), !
% 0.92/1.53 c_Orderings_Oord__class_Oless( X, Z, Y ), ! c_Orderings_Oord__class_Oless
% 0.92/1.53 ( X, U, T ), ! c_Orderings_Oord__class_Oless__eq( X,
% 0.92/1.53 c_Groups_Ozero__class_Ozero( X ), Z ), !
% 0.92/1.53 c_Orderings_Oord__class_Oless__eq( X, c_Groups_Ozero__class_Ozero( X ), U
% 0.92/1.53 ), c_Orderings_Oord__class_Oless( X, c_Groups_Otimes__class_Otimes( X, Z
% 0.92/1.53 , U ), c_Groups_Otimes__class_Otimes( X, Y, T ) ) }.
% 0.92/1.53 { ! class_Rings_Olinordered__semiring__strict( X ), !
% 0.92/1.53 c_Orderings_Oord__class_Oless( X, Z, Y ), !
% 0.92/1.53 c_Orderings_Oord__class_Oless__eq( X, U, T ), !
% 0.92/1.53 c_Orderings_Oord__class_Oless__eq( X, c_Groups_Ozero__class_Ozero( X ), Z
% 0.92/1.53 ), ! c_Orderings_Oord__class_Oless( X, c_Groups_Ozero__class_Ozero( X )
% 0.92/1.53 , U ), c_Orderings_Oord__class_Oless( X, c_Groups_Otimes__class_Otimes( X
% 0.92/1.53 , Z, U ), c_Groups_Otimes__class_Otimes( X, Y, T ) ) }.
% 0.92/1.53 { ! class_Rings_Olinordered__semiring__strict( X ), !
% 0.92/1.53 c_Orderings_Oord__class_Oless__eq( X, Z, Y ), !
% 0.92/1.53 c_Orderings_Oord__class_Oless( X, U, T ), ! c_Orderings_Oord__class_Oless
% 0.92/1.53 ( X, c_Groups_Ozero__class_Ozero( X ), Z ), !
% 0.92/1.53 c_Orderings_Oord__class_Oless__eq( X, c_Groups_Ozero__class_Ozero( X ), U
% 0.92/1.53 ), c_Orderings_Oord__class_Oless( X, c_Groups_Otimes__class_Otimes( X, Z
% 0.92/1.53 , U ), c_Groups_Otimes__class_Otimes( X, Y, T ) ) }.
% 0.92/1.53 { ! class_Rings_Olinordered__semiring( X ), ! c_Orderings_Oord__class_Oless
% 0.92/1.53 ( X, c_Groups_Otimes__class_Otimes( X, T, Z ),
% 0.92/1.53 c_Groups_Otimes__class_Otimes( X, Y, Z ) ), !
% 0.92/1.53 c_Orderings_Oord__class_Oless__eq( X, c_Groups_Ozero__class_Ozero( X ), Z
% 0.92/1.53 ), c_Orderings_Oord__class_Oless( X, T, Y ) }.
% 0.92/1.53 { ! class_Rings_Olinordered__semiring__strict( X ), !
% 0.92/1.53 c_Orderings_Oord__class_Oless( X, c_Groups_Otimes__class_Otimes( X, T, Z
% 0.92/1.53 ), c_Groups_Otimes__class_Otimes( X, Y, Z ) ), !
% 0.92/1.53 c_Orderings_Oord__class_Oless__eq( X, c_Groups_Ozero__class_Ozero( X ), Z
% 0.92/1.53 ), c_Orderings_Oord__class_Oless( X, T, Y ) }.
% 0.92/1.53 { ! class_Rings_Olinordered__semiring( X ), ! c_Orderings_Oord__class_Oless
% 0.92/1.53 ( X, c_Groups_Otimes__class_Otimes( X, T, Z ),
% 0.92/1.53 c_Groups_Otimes__class_Otimes( X, T, Y ) ), !
% 0.92/1.53 c_Orderings_Oord__class_Oless__eq( X, c_Groups_Ozero__class_Ozero( X ), T
% 0.92/1.53 ), c_Orderings_Oord__class_Oless( X, Z, Y ) }.
% 0.92/1.53 { ! class_Rings_Olinordered__semiring__strict( X ), !
% 0.92/1.53 c_Orderings_Oord__class_Oless( X, c_Groups_Otimes__class_Otimes( X, T, Z
% 0.92/1.53 ), c_Groups_Otimes__class_Otimes( X, T, Y ) ), !
% 0.92/1.53 c_Orderings_Oord__class_Oless__eq( X, c_Groups_Ozero__class_Ozero( X ), T
% 0.92/1.53 ), c_Orderings_Oord__class_Oless( X, Z, Y ) }.
% 0.92/1.53 { ! class_Rings_Olinordered__semiring__strict( X ), !
% 0.92/1.53 c_Orderings_Oord__class_Oless__eq( X, c_Groups_Otimes__class_Otimes( X, T
% 0.92/1.53 , Z ), c_Groups_Otimes__class_Otimes( X, Y, Z ) ), !
% 0.92/1.53 c_Orderings_Oord__class_Oless( X, c_Groups_Ozero__class_Ozero( X ), Z ),
% 0.92/1.53 c_Orderings_Oord__class_Oless__eq( X, T, Y ) }.
% 0.92/1.53 { ! class_Rings_Olinordered__semiring__strict( X ), !
% 0.92/1.53 c_Orderings_Oord__class_Oless__eq( X, c_Groups_Otimes__class_Otimes( X, T
% 0.92/1.53 , Z ), c_Groups_Otimes__class_Otimes( X, T, Y ) ), !
% 0.92/1.53 c_Orderings_Oord__class_Oless( X, c_Groups_Ozero__class_Ozero( X ), T ),
% 0.92/1.53 c_Orderings_Oord__class_Oless__eq( X, Z, Y ) }.
% 0.92/1.53 { ! class_Int_Onumber__ring( X ), c_Int_Onumber__class_Onumber__of( X,
% 0.92/1.53 c_Int_OBit0( Y ) ) = c_Groups_Oplus__class_Oplus( X,
% 0.92/1.53 c_Groups_Oplus__class_Oplus( X, c_Groups_Ozero__class_Ozero( X ),
% 0.92/1.53 c_Int_Onumber__class_Onumber__of( X, Y ) ),
% 0.92/1.53 c_Int_Onumber__class_Onumber__of( X, Y ) ) }.
% 0.92/1.53 { ! class_Rings_Olinordered__idom( X ), ! c_Orderings_Oord__class_Oless__eq
% 0.92/1.53 ( X, c_Groups_Ozero__class_Ozero( X ), Y ), !
% 0.92/1.53 c_Orderings_Oord__class_Oless__eq( X, c_Groups_Ozero__class_Ozero( X ), Z
% 0.92/1.53 ), ! c_Orderings_Oord__class_Oless__eq( X, Z, c_Groups_Oone__class_Oone
% 0.92/1.53 ( X ) ), c_Orderings_Oord__class_Oless__eq( X,
% 0.92/1.53 c_Groups_Otimes__class_Otimes( X, Y, Z ), Y ) }.
% 0.92/1.53 { ! class_Rings_Olinordered__idom( X ), ! c_Orderings_Oord__class_Oless__eq
% 0.92/1.53 ( X, c_Groups_Ozero__class_Ozero( X ), Y ), !
% 0.92/1.53 c_Orderings_Oord__class_Oless__eq( X, c_Groups_Ozero__class_Ozero( X ), Z
% 0.92/1.53 ), ! c_Orderings_Oord__class_Oless__eq( X, Z, c_Groups_Oone__class_Oone
% 0.92/1.53 ( X ) ), c_Orderings_Oord__class_Oless__eq( X,
% 0.92/1.53 c_Groups_Otimes__class_Otimes( X, Z, Y ), Y ) }.
% 0.92/1.53 { ! class_Fields_Olinordered__field( X ), ! c_Orderings_Oord__class_Oless(
% 0.92/1.53 X, Z, Y ), c_Orderings_Oord__class_Oless( X, Z,
% 0.92/1.53 c_Rings_Oinverse__class_Odivide( X, c_Groups_Oplus__class_Oplus( X, Z, Y
% 0.92/1.53 ), c_Groups_Oplus__class_Oplus( X, c_Groups_Oone__class_Oone( X ),
% 0.92/1.53 c_Groups_Oone__class_Oone( X ) ) ) ) }.
% 0.92/1.53 { ! class_Fields_Olinordered__field( X ), ! c_Orderings_Oord__class_Oless(
% 0.92/1.53 X, Z, Y ), c_Orderings_Oord__class_Oless( X,
% 0.92/1.53 c_Rings_Oinverse__class_Odivide( X, c_Groups_Oplus__class_Oplus( X, Z, Y
% 0.92/1.53 ), c_Groups_Oplus__class_Oplus( X, c_Groups_Oone__class_Oone( X ),
% 0.92/1.53 c_Groups_Oone__class_Oone( X ) ) ), Y ) }.
% 0.92/1.53 { ! class_Int_Onumber__ring( X ), c_Int_Onumber__class_Onumber__of( X,
% 0.92/1.53 c_Int_OBit1( Y ) ) = c_Groups_Oplus__class_Oplus( X,
% 0.92/1.53 c_Groups_Oplus__class_Oplus( X, c_Groups_Oone__class_Oone( X ),
% 0.92/1.53 c_Int_Onumber__class_Onumber__of( X, Y ) ),
% 0.92/1.53 c_Int_Onumber__class_Onumber__of( X, Y ) ) }.
% 0.92/1.53 { c_Transcendental_Ocos( c_Groups_Oplus__class_Oplus( tc_RealDef_Oreal, X,
% 0.92/1.53 c_Groups_Otimes__class_Otimes( tc_RealDef_Oreal,
% 0.92/1.53 c_Int_Onumber__class_Onumber__of( tc_RealDef_Oreal, c_Int_OBit0(
% 0.92/1.53 c_Int_OBit1( c_Int_OPls ) ) ), c_Transcendental_Opi ) ) ) =
% 0.92/1.53 c_Transcendental_Ocos( X ) }.
% 0.92/1.53 { c_Transcendental_Osin( c_Groups_Oplus__class_Oplus( tc_RealDef_Oreal, X,
% 0.92/1.53 c_Groups_Otimes__class_Otimes( tc_RealDef_Oreal,
% 0.92/1.53 c_Int_Onumber__class_Onumber__of( tc_RealDef_Oreal, c_Int_OBit0(
% 0.92/1.53 c_Int_OBit1( c_Int_OPls ) ) ), c_Transcendental_Opi ) ) ) =
% 0.92/1.53 c_Transcendental_Osin( X ) }.
% 0.92/1.53 { ! class_Fields_Olinordered__field__inverse__zero( X ), !
% 0.92/1.53 c_Orderings_Oord__class_Oless( X, T, c_Rings_Oinverse__class_Odivide( X,
% 0.92/1.53 Z, Y ) ), alpha42( X, Y, Z, T ) }.
% 0.92/1.53 { ! class_Fields_Olinordered__field__inverse__zero( X ), !
% 0.92/1.53 c_Orderings_Oord__class_Oless( X, T, c_Rings_Oinverse__class_Odivide( X,
% 0.92/1.53 Z, Y ) ), alpha60( X, Y, Z, T ) }.
% 0.92/1.53 { ! class_Fields_Olinordered__field__inverse__zero( X ), ! alpha42( X, Y, Z
% 0.92/1.53 , T ), ! alpha60( X, Y, Z, T ), c_Orderings_Oord__class_Oless( X, T,
% 0.92/1.53 c_Rings_Oinverse__class_Odivide( X, Z, Y ) ) }.
% 0.92/1.53 { ! alpha60( X, Y, Z, T ), c_Orderings_Oord__class_Oless( X,
% 0.92/1.53 c_Groups_Ozero__class_Ozero( X ), Y ), alpha73( X, Y, Z, T ) }.
% 0.92/1.53 { ! c_Orderings_Oord__class_Oless( X, c_Groups_Ozero__class_Ozero( X ), Y )
% 0.92/1.53 , alpha60( X, Y, Z, T ) }.
% 0.92/1.53 { ! alpha73( X, Y, Z, T ), alpha60( X, Y, Z, T ) }.
% 0.92/1.53 { ! alpha73( X, Y, Z, T ), alpha87( X, Y, Z, T ) }.
% 0.92/1.53 { ! alpha73( X, Y, Z, T ), alpha13( X, Y, T ) }.
% 0.92/1.53 { ! alpha87( X, Y, Z, T ), ! alpha13( X, Y, T ), alpha73( X, Y, Z, T ) }.
% 0.92/1.53 { ! alpha87( X, Y, Z, T ), ! c_Orderings_Oord__class_Oless( X, Y,
% 0.92/1.53 c_Groups_Ozero__class_Ozero( X ) ), c_Orderings_Oord__class_Oless( X, Z,
% 0.92/1.53 c_Groups_Otimes__class_Otimes( X, T, Y ) ) }.
% 0.92/1.53 { c_Orderings_Oord__class_Oless( X, Y, c_Groups_Ozero__class_Ozero( X ) ),
% 0.92/1.53 alpha87( X, Y, Z, T ) }.
% 0.92/1.53 { ! c_Orderings_Oord__class_Oless( X, Z, c_Groups_Otimes__class_Otimes( X,
% 0.92/1.53 T, Y ) ), alpha87( X, Y, Z, T ) }.
% 0.92/1.53 { ! alpha42( X, Y, Z, T ), ! c_Orderings_Oord__class_Oless( X,
% 0.92/1.53 c_Groups_Ozero__class_Ozero( X ), Y ), c_Orderings_Oord__class_Oless( X,
% 0.92/1.53 c_Groups_Otimes__class_Otimes( X, T, Y ), Z ) }.
% 0.92/1.53 { c_Orderings_Oord__class_Oless( X, c_Groups_Ozero__class_Ozero( X ), Y ),
% 0.92/1.53 alpha42( X, Y, Z, T ) }.
% 0.92/1.53 { ! c_Orderings_Oord__class_Oless( X, c_Groups_Otimes__class_Otimes( X, T,
% 0.92/1.53 Y ), Z ), alpha42( X, Y, Z, T ) }.
% 0.92/1.53 { ! alpha13( X, Y, Z ), c_Orderings_Oord__class_Oless( X, Y,
% 0.92/1.53 c_Groups_Ozero__class_Ozero( X ) ), c_Orderings_Oord__class_Oless( X, Z,
% 0.92/1.53 c_Groups_Ozero__class_Ozero( X ) ) }.
% 0.92/1.53 { ! c_Orderings_Oord__class_Oless( X, Y, c_Groups_Ozero__class_Ozero( X ) )
% 0.92/1.53 , alpha13( X, Y, Z ) }.
% 0.92/1.53 { ! c_Orderings_Oord__class_Oless( X, Z, c_Groups_Ozero__class_Ozero( X ) )
% 0.92/1.53 , alpha13( X, Y, Z ) }.
% 0.92/1.53 { ! class_Fields_Olinordered__field__inverse__zero( X ), !
% 0.92/1.53 c_Orderings_Oord__class_Oless( X, c_Rings_Oinverse__class_Odivide( X, T,
% 0.92/1.53 Z ), Y ), alpha43( X, Y, Z, T ) }.
% 0.92/1.53 { ! class_Fields_Olinordered__field__inverse__zero( X ), !
% 0.92/1.53 c_Orderings_Oord__class_Oless( X, c_Rings_Oinverse__class_Odivide( X, T,
% 0.92/1.53 Z ), Y ), alpha61( X, Y, Z, T ) }.
% 0.92/1.53 { ! class_Fields_Olinordered__field__inverse__zero( X ), ! alpha43( X, Y, Z
% 0.92/1.53 , T ), ! alpha61( X, Y, Z, T ), c_Orderings_Oord__class_Oless( X,
% 0.92/1.53 c_Rings_Oinverse__class_Odivide( X, T, Z ), Y ) }.
% 0.92/1.53 { ! alpha61( X, Y, Z, T ), c_Orderings_Oord__class_Oless( X,
% 0.92/1.53 c_Groups_Ozero__class_Ozero( X ), Z ), alpha74( X, Y, Z, T ) }.
% 0.92/1.53 { ! c_Orderings_Oord__class_Oless( X, c_Groups_Ozero__class_Ozero( X ), Z )
% 0.92/1.53 , alpha61( X, Y, Z, T ) }.
% 0.92/1.53 { ! alpha74( X, Y, Z, T ), alpha61( X, Y, Z, T ) }.
% 0.92/1.53 { ! alpha74( X, Y, Z, T ), alpha88( X, Y, Z, T ) }.
% 0.92/1.53 { ! alpha74( X, Y, Z, T ), alpha14( X, Y, Z ) }.
% 0.92/1.53 { ! alpha88( X, Y, Z, T ), ! alpha14( X, Y, Z ), alpha74( X, Y, Z, T ) }.
% 0.92/1.53 { ! alpha88( X, Y, Z, T ), ! c_Orderings_Oord__class_Oless( X, Z,
% 0.92/1.53 c_Groups_Ozero__class_Ozero( X ) ), c_Orderings_Oord__class_Oless( X,
% 0.92/1.53 c_Groups_Otimes__class_Otimes( X, Y, Z ), T ) }.
% 0.92/1.53 { c_Orderings_Oord__class_Oless( X, Z, c_Groups_Ozero__class_Ozero( X ) ),
% 0.92/1.53 alpha88( X, Y, Z, T ) }.
% 0.92/1.53 { ! c_Orderings_Oord__class_Oless( X, c_Groups_Otimes__class_Otimes( X, Y,
% 0.92/1.53 Z ), T ), alpha88( X, Y, Z, T ) }.
% 0.92/1.53 { ! alpha43( X, Y, Z, T ), ! c_Orderings_Oord__class_Oless( X,
% 0.92/1.53 c_Groups_Ozero__class_Ozero( X ), Z ), c_Orderings_Oord__class_Oless( X,
% 0.92/1.53 T, c_Groups_Otimes__class_Otimes( X, Y, Z ) ) }.
% 0.92/1.53 { c_Orderings_Oord__class_Oless( X, c_Groups_Ozero__class_Ozero( X ), Z ),
% 0.92/1.53 alpha43( X, Y, Z, T ) }.
% 0.92/1.53 { ! c_Orderings_Oord__class_Oless( X, T, c_Groups_Otimes__class_Otimes( X,
% 0.92/1.53 Y, Z ) ), alpha43( X, Y, Z, T ) }.
% 0.92/1.53 { ! alpha14( X, Y, Z ), c_Orderings_Oord__class_Oless( X, Z,
% 0.92/1.53 c_Groups_Ozero__class_Ozero( X ) ), c_Orderings_Oord__class_Oless( X,
% 0.92/1.53 c_Groups_Ozero__class_Ozero( X ), Y ) }.
% 0.92/1.53 { ! c_Orderings_Oord__class_Oless( X, Z, c_Groups_Ozero__class_Ozero( X ) )
% 0.92/1.53 , alpha14( X, Y, Z ) }.
% 0.92/1.53 { ! c_Orderings_Oord__class_Oless( X, c_Groups_Ozero__class_Ozero( X ), Y )
% 0.92/1.53 , alpha14( X, Y, Z ) }.
% 0.92/1.53 { ! class_Fields_Olinordered__field( X ), ! c_Orderings_Oord__class_Oless(
% 0.92/1.53 X, c_Groups_Ozero__class_Ozero( X ), Y ), ! c_Orderings_Oord__class_Oless
% 0.92/1.53 ( X, T, c_Rings_Oinverse__class_Odivide( X, Z, Y ) ),
% 0.92/1.53 c_Orderings_Oord__class_Oless( X, c_Groups_Otimes__class_Otimes( X, T, Y
% 0.92/1.53 ), Z ) }.
% 0.92/1.53 { ! class_Fields_Olinordered__field( X ), ! c_Orderings_Oord__class_Oless(
% 0.92/1.53 X, c_Groups_Ozero__class_Ozero( X ), Y ), ! c_Orderings_Oord__class_Oless
% 0.92/1.53 ( X, c_Groups_Otimes__class_Otimes( X, T, Y ), Z ),
% 0.92/1.53 c_Orderings_Oord__class_Oless( X, T, c_Rings_Oinverse__class_Odivide( X,
% 0.92/1.53 Z, Y ) ) }.
% 0.92/1.53 { ! class_Fields_Olinordered__field( X ), ! c_Orderings_Oord__class_Oless(
% 0.92/1.53 X, c_Groups_Ozero__class_Ozero( X ), Y ), ! c_Orderings_Oord__class_Oless
% 0.92/1.53 ( X, c_Rings_Oinverse__class_Odivide( X, T, Y ), Z ),
% 0.92/1.53 c_Orderings_Oord__class_Oless( X, T, c_Groups_Otimes__class_Otimes( X, Z
% 0.92/1.53 , Y ) ) }.
% 0.92/1.53 { ! class_Fields_Olinordered__field( X ), ! c_Orderings_Oord__class_Oless(
% 0.92/1.53 X, c_Groups_Ozero__class_Ozero( X ), Y ), ! c_Orderings_Oord__class_Oless
% 0.92/1.53 ( X, T, c_Groups_Otimes__class_Otimes( X, Z, Y ) ),
% 0.92/1.53 c_Orderings_Oord__class_Oless( X, c_Rings_Oinverse__class_Odivide( X, T,
% 0.92/1.53 Y ), Z ) }.
% 0.92/1.53 { ! class_Fields_Olinordered__field( X ), ! c_Orderings_Oord__class_Oless(
% 0.92/1.53 X, c_Groups_Ozero__class_Ozero( X ), Y ), ! c_Orderings_Oord__class_Oless
% 0.92/1.53 ( X, T, c_Groups_Otimes__class_Otimes( X, Z, Y ) ),
% 0.92/1.53 c_Orderings_Oord__class_Oless( X, c_Rings_Oinverse__class_Odivide( X, T,
% 0.92/1.53 Y ), Z ) }.
% 0.92/1.53 { ! class_Fields_Olinordered__field( X ), ! c_Orderings_Oord__class_Oless(
% 0.92/1.53 X, c_Groups_Ozero__class_Ozero( X ), Y ), ! c_Orderings_Oord__class_Oless
% 0.92/1.53 ( X, c_Groups_Otimes__class_Otimes( X, T, Y ), Z ),
% 0.92/1.53 c_Orderings_Oord__class_Oless( X, T, c_Rings_Oinverse__class_Odivide( X,
% 0.92/1.53 Z, Y ) ) }.
% 0.92/1.53 { ! class_Fields_Olinordered__field( X ), ! c_Orderings_Oord__class_Oless(
% 0.92/1.53 X, Y, c_Groups_Ozero__class_Ozero( X ) ), ! c_Orderings_Oord__class_Oless
% 0.92/1.53 ( X, T, c_Rings_Oinverse__class_Odivide( X, Z, Y ) ),
% 0.92/1.53 c_Orderings_Oord__class_Oless( X, Z, c_Groups_Otimes__class_Otimes( X, T
% 0.92/1.53 , Y ) ) }.
% 0.92/1.53 { ! class_Fields_Olinordered__field( X ), ! c_Orderings_Oord__class_Oless(
% 0.92/1.53 X, Y, c_Groups_Ozero__class_Ozero( X ) ), ! c_Orderings_Oord__class_Oless
% 0.92/1.53 ( X, Z, c_Groups_Otimes__class_Otimes( X, T, Y ) ),
% 0.92/1.53 c_Orderings_Oord__class_Oless( X, T, c_Rings_Oinverse__class_Odivide( X,
% 0.92/1.53 Z, Y ) ) }.
% 0.92/1.53 { ! class_Fields_Olinordered__field( X ), ! c_Orderings_Oord__class_Oless(
% 0.92/1.53 X, Y, c_Groups_Ozero__class_Ozero( X ) ), ! c_Orderings_Oord__class_Oless
% 0.92/1.53 ( X, c_Rings_Oinverse__class_Odivide( X, T, Y ), Z ),
% 0.92/1.53 c_Orderings_Oord__class_Oless( X, c_Groups_Otimes__class_Otimes( X, Z, Y
% 0.92/1.53 ), T ) }.
% 0.92/1.53 { ! class_Fields_Olinordered__field( X ), ! c_Orderings_Oord__class_Oless(
% 0.92/1.53 X, Y, c_Groups_Ozero__class_Ozero( X ) ), ! c_Orderings_Oord__class_Oless
% 0.92/1.53 ( X, c_Groups_Otimes__class_Otimes( X, Z, Y ), T ),
% 0.92/1.53 c_Orderings_Oord__class_Oless( X, c_Rings_Oinverse__class_Odivide( X, T,
% 0.92/1.53 Y ), Z ) }.
% 0.92/1.53 { ! class_Fields_Olinordered__field( X ), ! c_Orderings_Oord__class_Oless(
% 0.92/1.53 X, Z, Y ), ! c_Orderings_Oord__class_Oless( X,
% 0.92/1.53 c_Groups_Ozero__class_Ozero( X ), T ), ! c_Orderings_Oord__class_Oless( X
% 0.92/1.53 , c_Groups_Ozero__class_Ozero( X ), c_Groups_Otimes__class_Otimes( X, Y,
% 0.92/1.53 Z ) ), c_Orderings_Oord__class_Oless( X, c_Rings_Oinverse__class_Odivide
% 0.92/1.53 ( X, T, Y ), c_Rings_Oinverse__class_Odivide( X, T, Z ) ) }.
% 0.92/1.53 { ! class_Fields_Olinordered__field( X ), ! c_Orderings_Oord__class_Oless(
% 0.92/1.53 X, Z, Y ), ! c_Orderings_Oord__class_Oless( X, T,
% 0.92/1.53 c_Groups_Ozero__class_Ozero( X ) ), ! c_Orderings_Oord__class_Oless( X,
% 0.92/1.53 c_Groups_Ozero__class_Ozero( X ), c_Groups_Otimes__class_Otimes( X, Z, Y
% 0.92/1.53 ) ), c_Orderings_Oord__class_Oless( X, c_Rings_Oinverse__class_Odivide(
% 0.92/1.53 X, T, Z ), c_Rings_Oinverse__class_Odivide( X, T, Y ) ) }.
% 0.92/1.53 { ! class_Fields_Ofield__inverse__zero( X ), ! class_Int_Onumber( X ), ! T
% 0.92/1.53 = c_Rings_Oinverse__class_Odivide( X, Z, c_Int_Onumber__class_Onumber__of
% 0.92/1.53 ( X, Y ) ), alpha44( X, Y, Z, T ) }.
% 0.92/1.53 { ! class_Fields_Ofield__inverse__zero( X ), ! class_Int_Onumber( X ), ! T
% 0.92/1.53 = c_Rings_Oinverse__class_Odivide( X, Z, c_Int_Onumber__class_Onumber__of
% 0.92/1.53 ( X, Y ) ), alpha15( X, Y, T ) }.
% 0.92/1.53 { ! class_Fields_Ofield__inverse__zero( X ), ! class_Int_Onumber( X ), !
% 0.92/1.53 alpha44( X, Y, Z, T ), ! alpha15( X, Y, T ), T =
% 0.92/1.53 c_Rings_Oinverse__class_Odivide( X, Z, c_Int_Onumber__class_Onumber__of(
% 0.92/1.53 X, Y ) ) }.
% 0.92/1.53 { ! alpha44( X, Y, Z, T ), c_Int_Onumber__class_Onumber__of( X, Y ) =
% 0.92/1.53 c_Groups_Ozero__class_Ozero( X ), c_Groups_Otimes__class_Otimes( X, T,
% 0.92/1.53 c_Int_Onumber__class_Onumber__of( X, Y ) ) = Z }.
% 0.92/1.53 { ! c_Int_Onumber__class_Onumber__of( X, Y ) = c_Groups_Ozero__class_Ozero
% 0.92/1.53 ( X ), alpha44( X, Y, Z, T ) }.
% 0.92/1.53 { ! c_Groups_Otimes__class_Otimes( X, T, c_Int_Onumber__class_Onumber__of(
% 0.92/1.53 X, Y ) ) = Z, alpha44( X, Y, Z, T ) }.
% 0.92/1.53 { ! alpha15( X, Y, Z ), ! c_Int_Onumber__class_Onumber__of( X, Y ) =
% 0.92/1.53 c_Groups_Ozero__class_Ozero( X ), Z = c_Groups_Ozero__class_Ozero( X ) }
% 0.92/1.53 .
% 0.92/1.53 { c_Int_Onumber__class_Onumber__of( X, Y ) = c_Groups_Ozero__class_Ozero( X
% 0.92/1.53 ), alpha15( X, Y, Z ) }.
% 0.92/1.53 { ! Z = c_Groups_Ozero__class_Ozero( X ), alpha15( X, Y, Z ) }.
% 0.92/1.53 { ! class_Fields_Ofield__inverse__zero( X ), ! class_Int_Onumber( X ), !
% 0.92/1.53 c_Int_Onumber__class_Onumber__of( X, T ) =
% 0.92/1.53 c_Rings_Oinverse__class_Odivide( X, Z, Y ), alpha45( X, Y, Z, T ) }.
% 0.92/1.53 { ! class_Fields_Ofield__inverse__zero( X ), ! class_Int_Onumber( X ), !
% 0.92/1.53 c_Int_Onumber__class_Onumber__of( X, T ) =
% 0.92/1.53 c_Rings_Oinverse__class_Odivide( X, Z, Y ), alpha16( X, Y, T ) }.
% 0.92/1.53 { ! class_Fields_Ofield__inverse__zero( X ), ! class_Int_Onumber( X ), !
% 0.92/1.53 alpha45( X, Y, Z, T ), ! alpha16( X, Y, T ),
% 0.92/1.53 c_Int_Onumber__class_Onumber__of( X, T ) =
% 0.92/1.53 c_Rings_Oinverse__class_Odivide( X, Z, Y ) }.
% 0.92/1.53 { ! alpha45( X, Y, Z, T ), Y = c_Groups_Ozero__class_Ozero( X ),
% 0.92/1.53 c_Groups_Otimes__class_Otimes( X, c_Int_Onumber__class_Onumber__of( X, T
% 0.92/1.53 ), Y ) = Z }.
% 0.92/1.53 { ! Y = c_Groups_Ozero__class_Ozero( X ), alpha45( X, Y, Z, T ) }.
% 0.92/1.53 { ! c_Groups_Otimes__class_Otimes( X, c_Int_Onumber__class_Onumber__of( X,
% 0.92/1.53 T ), Y ) = Z, alpha45( X, Y, Z, T ) }.
% 0.92/1.53 { ! alpha16( X, Y, Z ), ! Y = c_Groups_Ozero__class_Ozero( X ),
% 0.92/1.53 c_Int_Onumber__class_Onumber__of( X, Z ) = c_Groups_Ozero__class_Ozero( X
% 0.92/1.53 ) }.
% 0.92/1.53 { Y = c_Groups_Ozero__class_Ozero( X ), alpha16( X, Y, Z ) }.
% 0.92/1.53 { ! c_Int_Onumber__class_Onumber__of( X, Z ) = c_Groups_Ozero__class_Ozero
% 0.92/1.53 ( X ), alpha16( X, Y, Z ) }.
% 0.92/1.53 { ! class_Fields_Ofield__inverse__zero( X ), ! class_Int_Onumber( X ), !
% 0.92/1.53 c_Rings_Oinverse__class_Odivide( X, T, Z ) =
% 0.92/1.53 c_Int_Onumber__class_Onumber__of( X, Y ), alpha46( X, Y, Z, T ) }.
% 0.92/1.53 { ! class_Fields_Ofield__inverse__zero( X ), ! class_Int_Onumber( X ), !
% 0.92/1.53 c_Rings_Oinverse__class_Odivide( X, T, Z ) =
% 0.92/1.53 c_Int_Onumber__class_Onumber__of( X, Y ), alpha17( X, Y, Z ) }.
% 0.92/1.53 { ! class_Fields_Ofield__inverse__zero( X ), ! class_Int_Onumber( X ), !
% 0.92/1.53 alpha46( X, Y, Z, T ), ! alpha17( X, Y, Z ),
% 0.92/1.53 c_Rings_Oinverse__class_Odivide( X, T, Z ) =
% 0.92/1.53 c_Int_Onumber__class_Onumber__of( X, Y ) }.
% 0.92/1.53 { ! alpha46( X, Y, Z, T ), Z = c_Groups_Ozero__class_Ozero( X ), T =
% 0.92/1.53 c_Groups_Otimes__class_Otimes( X, c_Int_Onumber__class_Onumber__of( X, Y
% 0.92/1.53 ), Z ) }.
% 0.92/1.53 { ! Z = c_Groups_Ozero__class_Ozero( X ), alpha46( X, Y, Z, T ) }.
% 0.92/1.53 { ! T = c_Groups_Otimes__class_Otimes( X, c_Int_Onumber__class_Onumber__of
% 0.92/1.53 ( X, Y ), Z ), alpha46( X, Y, Z, T ) }.
% 0.92/1.53 { ! alpha17( X, Y, Z ), ! Z = c_Groups_Ozero__class_Ozero( X ),
% 0.92/1.53 c_Int_Onumber__class_Onumber__of( X, Y ) = c_Groups_Ozero__class_Ozero( X
% 0.92/1.53 ) }.
% 0.92/1.53 { Z = c_Groups_Ozero__class_Ozero( X ), alpha17( X, Y, Z ) }.
% 0.92/1.53 { ! c_Int_Onumber__class_Onumber__of( X, Y ) = c_Groups_Ozero__class_Ozero
% 0.92/1.53 ( X ), alpha17( X, Y, Z ) }.
% 0.92/1.53 { ! class_Fields_Ofield__inverse__zero( X ), ! class_Int_Onumber( X ), !
% 0.92/1.53 c_Rings_Oinverse__class_Odivide( X, T, c_Int_Onumber__class_Onumber__of(
% 0.92/1.53 X, Z ) ) = Y, alpha47( X, Y, Z, T ) }.
% 0.92/1.53 { ! class_Fields_Ofield__inverse__zero( X ), ! class_Int_Onumber( X ), !
% 0.92/1.53 c_Rings_Oinverse__class_Odivide( X, T, c_Int_Onumber__class_Onumber__of(
% 0.92/1.53 X, Z ) ) = Y, alpha18( X, Y, Z ) }.
% 0.92/1.53 { ! class_Fields_Ofield__inverse__zero( X ), ! class_Int_Onumber( X ), !
% 0.92/1.53 alpha47( X, Y, Z, T ), ! alpha18( X, Y, Z ),
% 0.92/1.53 c_Rings_Oinverse__class_Odivide( X, T, c_Int_Onumber__class_Onumber__of(
% 0.92/1.53 X, Z ) ) = Y }.
% 0.92/1.53 { ! alpha47( X, Y, Z, T ), c_Int_Onumber__class_Onumber__of( X, Z ) =
% 0.92/1.53 c_Groups_Ozero__class_Ozero( X ), T = c_Groups_Otimes__class_Otimes( X, Y
% 0.92/1.53 , c_Int_Onumber__class_Onumber__of( X, Z ) ) }.
% 0.92/1.53 { ! c_Int_Onumber__class_Onumber__of( X, Z ) = c_Groups_Ozero__class_Ozero
% 0.92/1.53 ( X ), alpha47( X, Y, Z, T ) }.
% 0.92/1.53 { ! T = c_Groups_Otimes__class_Otimes( X, Y,
% 0.92/1.53 c_Int_Onumber__class_Onumber__of( X, Z ) ), alpha47( X, Y, Z, T ) }.
% 0.92/1.53 { ! alpha18( X, Y, Z ), ! c_Int_Onumber__class_Onumber__of( X, Z ) =
% 0.92/1.53 c_Groups_Ozero__class_Ozero( X ), Y = c_Groups_Ozero__class_Ozero( X ) }
% 0.92/1.53 .
% 0.92/1.53 { c_Int_Onumber__class_Onumber__of( X, Z ) = c_Groups_Ozero__class_Ozero( X
% 0.92/1.53 ), alpha18( X, Y, Z ) }.
% 0.92/1.53 { ! Y = c_Groups_Ozero__class_Ozero( X ), alpha18( X, Y, Z ) }.
% 0.92/1.53 { c_Transcendental_Otan( c_Groups_Oplus__class_Oplus( tc_RealDef_Oreal, X,
% 0.92/1.53 c_Groups_Otimes__class_Otimes( tc_RealDef_Oreal,
% 0.92/1.53 c_Int_Onumber__class_Onumber__of( tc_RealDef_Oreal, c_Int_OBit0(
% 0.92/1.53 c_Int_OBit1( c_Int_OPls ) ) ), c_Transcendental_Opi ) ) ) =
% 0.92/1.53 c_Transcendental_Otan( X ) }.
% 0.92/1.53 { ! class_Int_Onumber__ring( X ), c_Groups_Otimes__class_Otimes( X, Y,
% 0.92/1.53 c_Int_Onumber__class_Onumber__of( X, c_Int_OBit1( c_Int_OPls ) ) ) = Y }
% 0.92/1.53 .
% 0.92/1.53 { ! class_Int_Onumber__ring( X ), c_Groups_Otimes__class_Otimes( X,
% 0.92/1.53 c_Int_Onumber__class_Onumber__of( X, c_Int_OBit1( c_Int_OPls ) ), Y ) = Y
% 0.92/1.53 }.
% 0.92/1.53 { ! class_Int_Onumber__ring( X ), c_Groups_Otimes__class_Otimes( X,
% 0.92/1.53 c_Int_Onumber__class_Onumber__of( X, c_Int_OMin ), Y ) =
% 0.92/1.53 c_Groups_Ouminus__class_Ouminus( X, Y ) }.
% 0.92/1.53 { ! class_Int_Onumber__ring( X ), c_Groups_Otimes__class_Otimes( X, Y,
% 0.92/1.53 c_Int_Onumber__class_Onumber__of( X, c_Int_OMin ) ) =
% 0.92/1.53 c_Groups_Ouminus__class_Ouminus( X, Y ) }.
% 0.92/1.53 { ! c_Orderings_Oord__class_Oless( tc_RealDef_Oreal,
% 0.92/1.53 c_Groups_Ozero__class_Ozero( tc_RealDef_Oreal ), X ), !
% 0.92/1.53 c_Orderings_Oord__class_Oless__eq( tc_RealDef_Oreal,
% 0.92/1.53 c_Groups_Otimes__class_Otimes( tc_RealDef_Oreal, Z, X ),
% 0.92/1.53 c_Groups_Otimes__class_Otimes( tc_RealDef_Oreal, Y, X ) ),
% 0.92/1.53 c_Orderings_Oord__class_Oless__eq( tc_RealDef_Oreal, Z, Y ) }.
% 0.92/1.53 { ! c_Orderings_Oord__class_Oless( tc_RealDef_Oreal,
% 0.92/1.53 c_Groups_Ozero__class_Ozero( tc_RealDef_Oreal ), X ), !
% 0.92/1.53 c_Orderings_Oord__class_Oless__eq( tc_RealDef_Oreal, Z, Y ),
% 0.92/1.53 c_Orderings_Oord__class_Oless__eq( tc_RealDef_Oreal,
% 0.92/1.53 c_Groups_Otimes__class_Otimes( tc_RealDef_Oreal, Z, X ),
% 0.92/1.53 c_Groups_Otimes__class_Otimes( tc_RealDef_Oreal, Y, X ) ) }.
% 0.92/1.53 { ! c_Orderings_Oord__class_Oless( tc_RealDef_Oreal,
% 0.92/1.53 c_Groups_Ozero__class_Ozero( tc_RealDef_Oreal ), X ), !
% 0.92/1.53 c_Orderings_Oord__class_Oless__eq( tc_RealDef_Oreal,
% 0.92/1.53 c_Groups_Otimes__class_Otimes( tc_RealDef_Oreal, X, Z ),
% 0.92/1.53 c_Groups_Otimes__class_Otimes( tc_RealDef_Oreal, X, Y ) ),
% 0.92/1.53 c_Orderings_Oord__class_Oless__eq( tc_RealDef_Oreal, Z, Y ) }.
% 0.92/1.53 { ! c_Orderings_Oord__class_Oless( tc_RealDef_Oreal,
% 0.92/1.53 c_Groups_Ozero__class_Ozero( tc_RealDef_Oreal ), X ), !
% 0.92/1.53 c_Orderings_Oord__class_Oless__eq( tc_RealDef_Oreal, Z, Y ),
% 0.92/1.53 c_Orderings_Oord__class_Oless__eq( tc_RealDef_Oreal,
% 0.92/1.53 c_Groups_Otimes__class_Otimes( tc_RealDef_Oreal, X, Z ),
% 0.92/1.53 c_Groups_Otimes__class_Otimes( tc_RealDef_Oreal, X, Y ) ) }.
% 0.92/1.53 { ! class_Int_Onumber__ring( X ), c_Groups_Otimes__class_Otimes( X,
% 0.92/1.53 c_Groups_Ouminus__class_Ouminus( X, c_Int_Onumber__class_Onumber__of( X,
% 0.92/1.53 Z ) ), Y ) = c_Groups_Otimes__class_Otimes( X,
% 0.92/1.53 c_Int_Onumber__class_Onumber__of( X, c_Groups_Ouminus__class_Ouminus(
% 0.92/1.53 tc_Int_Oint, Z ) ), Y ) }.
% 0.92/1.53 { ! c_Orderings_Oord__class_Oless__eq( tc_RealDef_Oreal,
% 0.92/1.53 c_Groups_Oplus__class_Oplus( tc_RealDef_Oreal, Y, X ),
% 0.92/1.53 c_Groups_Ozero__class_Ozero( tc_RealDef_Oreal ) ),
% 0.92/1.53 c_Orderings_Oord__class_Oless__eq( tc_RealDef_Oreal, X,
% 0.92/1.53 c_Groups_Ouminus__class_Ouminus( tc_RealDef_Oreal, Y ) ) }.
% 0.92/1.53 { ! c_Orderings_Oord__class_Oless__eq( tc_RealDef_Oreal, X,
% 0.92/1.53 c_Groups_Ouminus__class_Ouminus( tc_RealDef_Oreal, Y ) ),
% 0.92/1.53 c_Orderings_Oord__class_Oless__eq( tc_RealDef_Oreal,
% 0.92/1.53 c_Groups_Oplus__class_Oplus( tc_RealDef_Oreal, Y, X ),
% 0.92/1.53 c_Groups_Ozero__class_Ozero( tc_RealDef_Oreal ) ) }.
% 0.92/1.53 { ! c_Orderings_Oord__class_Oless__eq( tc_RealDef_Oreal,
% 0.92/1.53 c_Groups_Ozero__class_Ozero( tc_RealDef_Oreal ),
% 0.92/1.53 c_Groups_Oplus__class_Oplus( tc_RealDef_Oreal, Y, X ) ),
% 0.92/1.53 c_Orderings_Oord__class_Oless__eq( tc_RealDef_Oreal,
% 0.92/1.53 c_Groups_Ouminus__class_Ouminus( tc_RealDef_Oreal, Y ), X ) }.
% 0.92/1.53 { ! c_Orderings_Oord__class_Oless__eq( tc_RealDef_Oreal,
% 0.92/1.53 c_Groups_Ouminus__class_Ouminus( tc_RealDef_Oreal, Y ), X ),
% 0.92/1.53 c_Orderings_Oord__class_Oless__eq( tc_RealDef_Oreal,
% 0.92/1.53 c_Groups_Ozero__class_Ozero( tc_RealDef_Oreal ),
% 0.92/1.53 c_Groups_Oplus__class_Oplus( tc_RealDef_Oreal, Y, X ) ) }.
% 0.92/1.53 { ! c_Orderings_Oord__class_Oless( tc_RealDef_Oreal,
% 0.92/1.53 c_Groups_Ozero__class_Ozero( tc_RealDef_Oreal ),
% 0.92/1.53 c_Groups_Oplus__class_Oplus( tc_RealDef_Oreal, Y, X ) ),
% 0.92/1.53 c_Orderings_Oord__class_Oless( tc_RealDef_Oreal,
% 0.92/1.53 c_Groups_Ouminus__class_Ouminus( tc_RealDef_Oreal, Y ), X ) }.
% 0.92/1.53 { ! c_Orderings_Oord__class_Oless( tc_RealDef_Oreal,
% 0.92/1.53 c_Groups_Ouminus__class_Ouminus( tc_RealDef_Oreal, Y ), X ),
% 0.92/1.53 c_Orderings_Oord__class_Oless( tc_RealDef_Oreal,
% 0.92/1.53 c_Groups_Ozero__class_Ozero( tc_RealDef_Oreal ),
% 0.92/1.53 c_Groups_Oplus__class_Oplus( tc_RealDef_Oreal, Y, X ) ) }.
% 0.92/1.53 { ! c_Orderings_Oord__class_Oless( tc_RealDef_Oreal,
% 0.92/1.53 c_Groups_Oplus__class_Oplus( tc_RealDef_Oreal, Y, X ),
% 0.92/1.53 c_Groups_Ozero__class_Ozero( tc_RealDef_Oreal ) ),
% 0.92/1.53 c_Orderings_Oord__class_Oless( tc_RealDef_Oreal, X,
% 0.92/1.53 c_Groups_Ouminus__class_Ouminus( tc_RealDef_Oreal, Y ) ) }.
% 0.92/1.53 { ! c_Orderings_Oord__class_Oless( tc_RealDef_Oreal, X,
% 0.92/1.53 c_Groups_Ouminus__class_Ouminus( tc_RealDef_Oreal, Y ) ),
% 0.92/1.53 c_Orderings_Oord__class_Oless( tc_RealDef_Oreal,
% 0.92/1.53 c_Groups_Oplus__class_Oplus( tc_RealDef_Oreal, Y, X ),
% 0.92/1.53 c_Groups_Ozero__class_Ozero( tc_RealDef_Oreal ) ) }.
% 0.92/1.53 { c_Transcendental_Ocos( c_Groups_Oplus__class_Oplus( tc_RealDef_Oreal, X,
% 0.92/1.53 c_Transcendental_Opi ) ) = c_Groups_Ouminus__class_Ouminus(
% 0.92/1.53 tc_RealDef_Oreal, c_Transcendental_Ocos( X ) ) }.
% 0.92/1.53 { c_Transcendental_Osin( c_Groups_Oplus__class_Oplus( tc_RealDef_Oreal,
% 0.92/1.53 c_Transcendental_Opi, X ) ) = c_Groups_Ouminus__class_Ouminus(
% 0.92/1.53 tc_RealDef_Oreal, c_Transcendental_Osin( X ) ) }.
% 0.92/1.53 { c_Transcendental_Osin( c_Groups_Oplus__class_Oplus( tc_RealDef_Oreal, X,
% 0.92/1.53 c_Transcendental_Opi ) ) = c_Groups_Ouminus__class_Ouminus(
% 0.92/1.53 tc_RealDef_Oreal, c_Transcendental_Osin( X ) ) }.
% 0.92/1.53 { ! class_Fields_Olinordered__field__inverse__zero( X ), !
% 0.92/1.53 c_Orderings_Oord__class_Oless__eq( X, T, c_Rings_Oinverse__class_Odivide
% 0.92/1.53 ( X, Z, Y ) ), alpha48( X, Y, Z, T ) }.
% 0.92/1.53 { ! class_Fields_Olinordered__field__inverse__zero( X ), !
% 0.92/1.53 c_Orderings_Oord__class_Oless__eq( X, T, c_Rings_Oinverse__class_Odivide
% 0.92/1.53 ( X, Z, Y ) ), alpha62( X, Y, Z, T ) }.
% 0.92/1.53 { ! class_Fields_Olinordered__field__inverse__zero( X ), ! alpha48( X, Y, Z
% 0.92/1.53 , T ), ! alpha62( X, Y, Z, T ), c_Orderings_Oord__class_Oless__eq( X, T,
% 0.92/1.53 c_Rings_Oinverse__class_Odivide( X, Z, Y ) ) }.
% 0.92/1.53 { ! alpha62( X, Y, Z, T ), c_Orderings_Oord__class_Oless( X,
% 0.92/1.53 c_Groups_Ozero__class_Ozero( X ), Y ), alpha75( X, Y, Z, T ) }.
% 0.92/1.53 { ! c_Orderings_Oord__class_Oless( X, c_Groups_Ozero__class_Ozero( X ), Y )
% 0.92/1.53 , alpha62( X, Y, Z, T ) }.
% 0.92/1.53 { ! alpha75( X, Y, Z, T ), alpha62( X, Y, Z, T ) }.
% 0.92/1.53 { ! alpha75( X, Y, Z, T ), alpha89( X, Y, Z, T ) }.
% 0.92/1.53 { ! alpha75( X, Y, Z, T ), alpha19( X, Y, T ) }.
% 0.92/1.53 { ! alpha89( X, Y, Z, T ), ! alpha19( X, Y, T ), alpha75( X, Y, Z, T ) }.
% 0.92/1.53 { ! alpha89( X, Y, Z, T ), ! c_Orderings_Oord__class_Oless( X, Y,
% 0.92/1.53 c_Groups_Ozero__class_Ozero( X ) ), c_Orderings_Oord__class_Oless__eq( X
% 0.92/1.53 , Z, c_Groups_Otimes__class_Otimes( X, T, Y ) ) }.
% 0.92/1.53 { c_Orderings_Oord__class_Oless( X, Y, c_Groups_Ozero__class_Ozero( X ) ),
% 0.92/1.53 alpha89( X, Y, Z, T ) }.
% 0.92/1.53 { ! c_Orderings_Oord__class_Oless__eq( X, Z, c_Groups_Otimes__class_Otimes
% 0.92/1.53 ( X, T, Y ) ), alpha89( X, Y, Z, T ) }.
% 0.92/1.53 { ! alpha48( X, Y, Z, T ), ! c_Orderings_Oord__class_Oless( X,
% 0.92/1.53 c_Groups_Ozero__class_Ozero( X ), Y ), c_Orderings_Oord__class_Oless__eq
% 0.92/1.53 ( X, c_Groups_Otimes__class_Otimes( X, T, Y ), Z ) }.
% 0.92/1.53 { c_Orderings_Oord__class_Oless( X, c_Groups_Ozero__class_Ozero( X ), Y ),
% 0.92/1.53 alpha48( X, Y, Z, T ) }.
% 0.92/1.53 { ! c_Orderings_Oord__class_Oless__eq( X, c_Groups_Otimes__class_Otimes( X
% 0.92/1.53 , T, Y ), Z ), alpha48( X, Y, Z, T ) }.
% 0.92/1.53 { ! alpha19( X, Y, Z ), c_Orderings_Oord__class_Oless( X, Y,
% 0.92/1.53 c_Groups_Ozero__class_Ozero( X ) ), c_Orderings_Oord__class_Oless__eq( X
% 0.92/1.53 , Z, c_Groups_Ozero__class_Ozero( X ) ) }.
% 0.92/1.53 { ! c_Orderings_Oord__class_Oless( X, Y, c_Groups_Ozero__class_Ozero( X ) )
% 0.92/1.53 , alpha19( X, Y, Z ) }.
% 0.92/1.53 { ! c_Orderings_Oord__class_Oless__eq( X, Z, c_Groups_Ozero__class_Ozero( X
% 0.92/1.53 ) ), alpha19( X, Y, Z ) }.
% 0.92/1.53 { ! class_Fields_Olinordered__field__inverse__zero( X ), !
% 0.92/1.53 c_Orderings_Oord__class_Oless__eq( X, c_Rings_Oinverse__class_Odivide( X
% 0.92/1.53 , T, Z ), Y ), alpha49( X, Y, Z, T ) }.
% 0.92/1.53 { ! class_Fields_Olinordered__field__inverse__zero( X ), !
% 0.92/1.53 c_Orderings_Oord__class_Oless__eq( X, c_Rings_Oinverse__class_Odivide( X
% 0.92/1.53 , T, Z ), Y ), alpha63( X, Y, Z, T ) }.
% 0.92/1.53 { ! class_Fields_Olinordered__field__inverse__zero( X ), ! alpha49( X, Y, Z
% 0.92/1.53 , T ), ! alpha63( X, Y, Z, T ), c_Orderings_Oord__class_Oless__eq( X,
% 0.92/1.53 c_Rings_Oinverse__class_Odivide( X, T, Z ), Y ) }.
% 0.92/1.53 { ! alpha63( X, Y, Z, T ), c_Orderings_Oord__class_Oless( X,
% 0.92/1.53 c_Groups_Ozero__class_Ozero( X ), Z ), alpha76( X, Y, Z, T ) }.
% 0.92/1.53 { ! c_Orderings_Oord__class_Oless( X, c_Groups_Ozero__class_Ozero( X ), Z )
% 0.92/1.53 , alpha63( X, Y, Z, T ) }.
% 0.92/1.53 { ! alpha76( X, Y, Z, T ), alpha63( X, Y, Z, T ) }.
% 0.92/1.53 { ! alpha76( X, Y, Z, T ), alpha90( X, Y, Z, T ) }.
% 0.92/1.53 { ! alpha76( X, Y, Z, T ), alpha20( X, Y, Z ) }.
% 0.92/1.53 { ! alpha90( X, Y, Z, T ), ! alpha20( X, Y, Z ), alpha76( X, Y, Z, T ) }.
% 0.92/1.53 { ! alpha90( X, Y, Z, T ), ! c_Orderings_Oord__class_Oless( X, Z,
% 0.92/1.53 c_Groups_Ozero__class_Ozero( X ) ), c_Orderings_Oord__class_Oless__eq( X
% 0.92/1.53 , c_Groups_Otimes__class_Otimes( X, Y, Z ), T ) }.
% 0.92/1.53 { c_Orderings_Oord__class_Oless( X, Z, c_Groups_Ozero__class_Ozero( X ) ),
% 0.92/1.53 alpha90( X, Y, Z, T ) }.
% 0.92/1.53 { ! c_Orderings_Oord__class_Oless__eq( X, c_Groups_Otimes__class_Otimes( X
% 0.92/1.53 , Y, Z ), T ), alpha90( X, Y, Z, T ) }.
% 0.92/1.53 { ! alpha49( X, Y, Z, T ), ! c_Orderings_Oord__class_Oless( X,
% 0.92/1.53 c_Groups_Ozero__class_Ozero( X ), Z ), c_Orderings_Oord__class_Oless__eq
% 0.92/1.53 ( X, T, c_Groups_Otimes__class_Otimes( X, Y, Z ) ) }.
% 0.92/1.53 { c_Orderings_Oord__class_Oless( X, c_Groups_Ozero__class_Ozero( X ), Z ),
% 0.92/1.53 alpha49( X, Y, Z, T ) }.
% 0.92/1.53 { ! c_Orderings_Oord__class_Oless__eq( X, T, c_Groups_Otimes__class_Otimes
% 0.92/1.53 ( X, Y, Z ) ), alpha49( X, Y, Z, T ) }.
% 0.92/1.53 { ! alpha20( X, Y, Z ), c_Orderings_Oord__class_Oless( X, Z,
% 0.92/1.53 c_Groups_Ozero__class_Ozero( X ) ), c_Orderings_Oord__class_Oless__eq( X
% 0.92/1.53 , c_Groups_Ozero__class_Ozero( X ), Y ) }.
% 0.92/1.53 { ! c_Orderings_Oord__class_Oless( X, Z, c_Groups_Ozero__class_Ozero( X ) )
% 0.92/1.53 , alpha20( X, Y, Z ) }.
% 0.92/1.53 { ! c_Orderings_Oord__class_Oless__eq( X, c_Groups_Ozero__class_Ozero( X )
% 0.92/1.53 , Y ), alpha20( X, Y, Z ) }.
% 0.92/1.53 { ! class_Fields_Olinordered__field( X ), ! c_Orderings_Oord__class_Oless(
% 0.92/1.53 X, c_Groups_Ozero__class_Ozero( X ), Y ), !
% 0.92/1.53 c_Orderings_Oord__class_Oless__eq( X, T, c_Rings_Oinverse__class_Odivide
% 0.92/1.53 ( X, Z, Y ) ), c_Orderings_Oord__class_Oless__eq( X,
% 0.92/1.53 c_Groups_Otimes__class_Otimes( X, T, Y ), Z ) }.
% 0.92/1.53 { ! class_Fields_Olinordered__field( X ), ! c_Orderings_Oord__class_Oless(
% 0.92/1.53 X, c_Groups_Ozero__class_Ozero( X ), Y ), !
% 0.92/1.53 c_Orderings_Oord__class_Oless__eq( X, c_Groups_Otimes__class_Otimes( X, T
% 0.92/1.53 , Y ), Z ), c_Orderings_Oord__class_Oless__eq( X, T,
% 0.92/1.53 c_Rings_Oinverse__class_Odivide( X, Z, Y ) ) }.
% 0.92/1.53 { ! class_Fields_Olinordered__field( X ), ! c_Orderings_Oord__class_Oless(
% 0.92/1.53 X, c_Groups_Ozero__class_Ozero( X ), Y ), !
% 0.92/1.53 c_Orderings_Oord__class_Oless__eq( X, c_Rings_Oinverse__class_Odivide( X
% 0.92/1.53 , T, Y ), Z ), c_Orderings_Oord__class_Oless__eq( X, T,
% 0.92/1.53 c_Groups_Otimes__class_Otimes( X, Z, Y ) ) }.
% 0.92/1.53 { ! class_Fields_Olinordered__field( X ), ! c_Orderings_Oord__class_Oless(
% 0.92/1.53 X, c_Groups_Ozero__class_Ozero( X ), Y ), !
% 0.92/1.53 c_Orderings_Oord__class_Oless__eq( X, T, c_Groups_Otimes__class_Otimes( X
% 0.92/1.53 , Z, Y ) ), c_Orderings_Oord__class_Oless__eq( X,
% 0.92/1.53 c_Rings_Oinverse__class_Odivide( X, T, Y ), Z ) }.
% 0.92/1.53 { ! class_Fields_Olinordered__field( X ), ! c_Orderings_Oord__class_Oless(
% 0.92/1.53 X, c_Groups_Ozero__class_Ozero( X ), Y ), !
% 0.92/1.53 c_Orderings_Oord__class_Oless__eq( X, T, c_Groups_Otimes__class_Otimes( X
% 0.92/1.53 , Z, Y ) ), c_Orderings_Oord__class_Oless__eq( X,
% 0.92/1.53 c_Rings_Oinverse__class_Odivide( X, T, Y ), Z ) }.
% 0.92/1.53 { ! class_Fields_Olinordered__field( X ), ! c_Orderings_Oord__class_Oless(
% 0.92/1.53 X, c_Groups_Ozero__class_Ozero( X ), Y ), !
% 0.92/1.53 c_Orderings_Oord__class_Oless__eq( X, c_Groups_Otimes__class_Otimes( X, T
% 0.92/1.53 , Y ), Z ), c_Orderings_Oord__class_Oless__eq( X, T,
% 0.92/1.53 c_Rings_Oinverse__class_Odivide( X, Z, Y ) ) }.
% 0.92/1.53 { ! class_Fields_Olinordered__field( X ), ! c_Orderings_Oord__class_Oless(
% 0.92/1.53 X, Y, c_Groups_Ozero__class_Ozero( X ) ), !
% 0.92/1.53 c_Orderings_Oord__class_Oless__eq( X, T, c_Rings_Oinverse__class_Odivide
% 0.92/1.53 ( X, Z, Y ) ), c_Orderings_Oord__class_Oless__eq( X, Z,
% 0.92/1.53 c_Groups_Otimes__class_Otimes( X, T, Y ) ) }.
% 0.92/1.53 { ! class_Fields_Olinordered__field( X ), ! c_Orderings_Oord__class_Oless(
% 0.92/1.53 X, Y, c_Groups_Ozero__class_Ozero( X ) ), !
% 0.92/1.53 c_Orderings_Oord__class_Oless__eq( X, Z, c_Groups_Otimes__class_Otimes( X
% 0.92/1.53 , T, Y ) ), c_Orderings_Oord__class_Oless__eq( X, T,
% 0.92/1.53 c_Rings_Oinverse__class_Odivide( X, Z, Y ) ) }.
% 0.92/1.53 { ! class_Fields_Olinordered__field( X ), ! c_Orderings_Oord__class_Oless(
% 0.92/1.53 X, Y, c_Groups_Ozero__class_Ozero( X ) ), !
% 0.92/1.53 c_Orderings_Oord__class_Oless__eq( X, c_Rings_Oinverse__class_Odivide( X
% 0.92/1.53 , T, Y ), Z ), c_Orderings_Oord__class_Oless__eq( X,
% 0.92/1.53 c_Groups_Otimes__class_Otimes( X, Z, Y ), T ) }.
% 0.92/1.53 { ! class_Fields_Olinordered__field( X ), ! c_Orderings_Oord__class_Oless(
% 0.92/1.53 X, Y, c_Groups_Ozero__class_Ozero( X ) ), !
% 0.92/1.53 c_Orderings_Oord__class_Oless__eq( X, c_Groups_Otimes__class_Otimes( X, Z
% 0.92/1.53 , Y ), T ), c_Orderings_Oord__class_Oless__eq( X,
% 0.92/1.53 c_Rings_Oinverse__class_Odivide( X, T, Y ), Z ) }.
% 0.92/1.53 { ! class_Fields_Olinordered__field( X ), !
% 0.92/1.53 c_Orderings_Oord__class_Oless__eq( X, Z, Y ), !
% 0.92/1.53 c_Orderings_Oord__class_Oless__eq( X, c_Groups_Ozero__class_Ozero( X ), T
% 0.92/1.53 ), ! c_Orderings_Oord__class_Oless( X, c_Groups_Ozero__class_Ozero( X )
% 0.92/1.53 , c_Groups_Otimes__class_Otimes( X, Y, Z ) ),
% 0.92/1.53 c_Orderings_Oord__class_Oless__eq( X, c_Rings_Oinverse__class_Odivide( X
% 0.92/1.53 , T, Y ), c_Rings_Oinverse__class_Odivide( X, T, Z ) ) }.
% 0.92/1.53 { ! class_Fields_Olinordered__field__inverse__zero( X ), !
% 0.92/1.53 c_Orderings_Oord__class_Oless__eq( X, Z, Y ), !
% 0.92/1.53 c_Orderings_Oord__class_Oless__eq( X, T, c_Groups_Ozero__class_Ozero( X )
% 0.92/1.53 ), ! c_Orderings_Oord__class_Oless( X, c_Groups_Ozero__class_Ozero( X )
% 0.92/1.53 , c_Groups_Otimes__class_Otimes( X, Z, Y ) ),
% 0.92/1.53 c_Orderings_Oord__class_Oless__eq( X, c_Rings_Oinverse__class_Odivide( X
% 0.92/1.53 , T, Z ), c_Rings_Oinverse__class_Odivide( X, T, Y ) ) }.
% 0.92/1.53 { ! class_Fields_Olinordered__field__inverse__zero( X ), !
% 0.92/1.53 class_Int_Onumber( X ), ! c_Orderings_Oord__class_Oless( X, T,
% 0.92/1.53 c_Rings_Oinverse__class_Odivide( X, Z, c_Int_Onumber__class_Onumber__of(
% 0.92/1.53 X, Y ) ) ), alpha50( X, Y, Z, T ) }.
% 0.92/1.53 { ! class_Fields_Olinordered__field__inverse__zero( X ), !
% 0.92/1.53 class_Int_Onumber( X ), ! c_Orderings_Oord__class_Oless( X, T,
% 0.92/1.53 c_Rings_Oinverse__class_Odivide( X, Z, c_Int_Onumber__class_Onumber__of(
% 0.92/1.53 X, Y ) ) ), alpha64( X, Y, Z, T ) }.
% 0.92/1.53 { ! class_Fields_Olinordered__field__inverse__zero( X ), !
% 0.92/1.53 class_Int_Onumber( X ), ! alpha50( X, Y, Z, T ), ! alpha64( X, Y, Z, T )
% 0.92/1.53 , c_Orderings_Oord__class_Oless( X, T, c_Rings_Oinverse__class_Odivide( X
% 0.92/1.53 , Z, c_Int_Onumber__class_Onumber__of( X, Y ) ) ) }.
% 0.92/1.53 { ! alpha64( X, Y, Z, T ), c_Orderings_Oord__class_Oless( X,
% 0.92/1.53 c_Groups_Ozero__class_Ozero( X ), c_Int_Onumber__class_Onumber__of( X, Y
% 0.92/1.53 ) ), alpha77( X, Y, Z, T ) }.
% 0.92/1.53 { ! c_Orderings_Oord__class_Oless( X, c_Groups_Ozero__class_Ozero( X ),
% 0.92/1.53 c_Int_Onumber__class_Onumber__of( X, Y ) ), alpha64( X, Y, Z, T ) }.
% 0.92/1.53 { ! alpha77( X, Y, Z, T ), alpha64( X, Y, Z, T ) }.
% 0.92/1.53 { ! alpha77( X, Y, Z, T ), alpha91( X, Y, Z, T ) }.
% 0.92/1.53 { ! alpha77( X, Y, Z, T ), alpha21( X, Y, T ) }.
% 0.92/1.53 { ! alpha91( X, Y, Z, T ), ! alpha21( X, Y, T ), alpha77( X, Y, Z, T ) }.
% 0.92/1.53 { ! alpha91( X, Y, Z, T ), ! c_Orderings_Oord__class_Oless( X,
% 0.92/1.53 c_Int_Onumber__class_Onumber__of( X, Y ), c_Groups_Ozero__class_Ozero( X
% 0.92/1.53 ) ), c_Orderings_Oord__class_Oless( X, Z, c_Groups_Otimes__class_Otimes
% 0.92/1.53 ( X, T, c_Int_Onumber__class_Onumber__of( X, Y ) ) ) }.
% 0.92/1.53 { c_Orderings_Oord__class_Oless( X, c_Int_Onumber__class_Onumber__of( X, Y
% 0.92/1.53 ), c_Groups_Ozero__class_Ozero( X ) ), alpha91( X, Y, Z, T ) }.
% 0.92/1.53 { ! c_Orderings_Oord__class_Oless( X, Z, c_Groups_Otimes__class_Otimes( X,
% 0.92/1.53 T, c_Int_Onumber__class_Onumber__of( X, Y ) ) ), alpha91( X, Y, Z, T ) }
% 0.92/1.53 .
% 0.92/1.53 { ! alpha50( X, Y, Z, T ), ! c_Orderings_Oord__class_Oless( X,
% 0.92/1.53 c_Groups_Ozero__class_Ozero( X ), c_Int_Onumber__class_Onumber__of( X, Y
% 0.92/1.53 ) ), c_Orderings_Oord__class_Oless( X, c_Groups_Otimes__class_Otimes( X
% 0.92/1.53 , T, c_Int_Onumber__class_Onumber__of( X, Y ) ), Z ) }.
% 0.92/1.53 { c_Orderings_Oord__class_Oless( X, c_Groups_Ozero__class_Ozero( X ),
% 0.92/1.53 c_Int_Onumber__class_Onumber__of( X, Y ) ), alpha50( X, Y, Z, T ) }.
% 0.92/1.53 { ! c_Orderings_Oord__class_Oless( X, c_Groups_Otimes__class_Otimes( X, T,
% 0.92/1.53 c_Int_Onumber__class_Onumber__of( X, Y ) ), Z ), alpha50( X, Y, Z, T ) }
% 0.92/1.53 .
% 0.92/1.53 { ! alpha21( X, Y, Z ), c_Orderings_Oord__class_Oless( X,
% 0.92/1.53 c_Int_Onumber__class_Onumber__of( X, Y ), c_Groups_Ozero__class_Ozero( X
% 0.92/1.53 ) ), c_Orderings_Oord__class_Oless( X, Z, c_Groups_Ozero__class_Ozero( X
% 0.92/1.53 ) ) }.
% 0.92/1.53 { ! c_Orderings_Oord__class_Oless( X, c_Int_Onumber__class_Onumber__of( X,
% 0.92/1.53 Y ), c_Groups_Ozero__class_Ozero( X ) ), alpha21( X, Y, Z ) }.
% 0.92/1.53 { ! c_Orderings_Oord__class_Oless( X, Z, c_Groups_Ozero__class_Ozero( X ) )
% 0.92/1.53 , alpha21( X, Y, Z ) }.
% 0.92/1.53 { ! class_Fields_Olinordered__field__inverse__zero( X ), !
% 0.92/1.53 class_Int_Onumber( X ), ! c_Orderings_Oord__class_Oless( X,
% 0.92/1.53 c_Int_Onumber__class_Onumber__of( X, T ), c_Rings_Oinverse__class_Odivide
% 0.92/1.53 ( X, Z, Y ) ), alpha51( X, Y, Z, T ) }.
% 0.92/1.53 { ! class_Fields_Olinordered__field__inverse__zero( X ), !
% 0.92/1.53 class_Int_Onumber( X ), ! c_Orderings_Oord__class_Oless( X,
% 0.92/1.53 c_Int_Onumber__class_Onumber__of( X, T ), c_Rings_Oinverse__class_Odivide
% 0.92/1.53 ( X, Z, Y ) ), alpha65( X, Y, Z, T ) }.
% 0.92/1.53 { ! class_Fields_Olinordered__field__inverse__zero( X ), !
% 0.92/1.53 class_Int_Onumber( X ), ! alpha51( X, Y, Z, T ), ! alpha65( X, Y, Z, T )
% 0.92/1.53 , c_Orderings_Oord__class_Oless( X, c_Int_Onumber__class_Onumber__of( X,
% 0.92/1.53 T ), c_Rings_Oinverse__class_Odivide( X, Z, Y ) ) }.
% 0.92/1.53 { ! alpha65( X, Y, Z, T ), c_Orderings_Oord__class_Oless( X,
% 0.92/1.53 c_Groups_Ozero__class_Ozero( X ), Y ), alpha78( X, Y, Z, T ) }.
% 0.92/1.53 { ! c_Orderings_Oord__class_Oless( X, c_Groups_Ozero__class_Ozero( X ), Y )
% 0.92/1.53 , alpha65( X, Y, Z, T ) }.
% 0.92/1.53 { ! alpha78( X, Y, Z, T ), alpha65( X, Y, Z, T ) }.
% 0.92/1.53 { ! alpha78( X, Y, Z, T ), alpha92( X, Y, Z, T ) }.
% 0.92/1.53 { ! alpha78( X, Y, Z, T ), alpha22( X, Y, T ) }.
% 0.92/1.53 { ! alpha92( X, Y, Z, T ), ! alpha22( X, Y, T ), alpha78( X, Y, Z, T ) }.
% 0.92/1.53 { ! alpha92( X, Y, Z, T ), ! c_Orderings_Oord__class_Oless( X, Y,
% 0.92/1.53 c_Groups_Ozero__class_Ozero( X ) ), c_Orderings_Oord__class_Oless( X, Z,
% 0.92/1.53 c_Groups_Otimes__class_Otimes( X, c_Int_Onumber__class_Onumber__of( X, T
% 0.92/1.53 ), Y ) ) }.
% 0.92/1.53 { c_Orderings_Oord__class_Oless( X, Y, c_Groups_Ozero__class_Ozero( X ) ),
% 0.92/1.53 alpha92( X, Y, Z, T ) }.
% 0.92/1.53 { ! c_Orderings_Oord__class_Oless( X, Z, c_Groups_Otimes__class_Otimes( X,
% 0.92/1.53 c_Int_Onumber__class_Onumber__of( X, T ), Y ) ), alpha92( X, Y, Z, T ) }
% 0.92/1.53 .
% 0.92/1.53 { ! alpha51( X, Y, Z, T ), ! c_Orderings_Oord__class_Oless( X,
% 0.92/1.53 c_Groups_Ozero__class_Ozero( X ), Y ), c_Orderings_Oord__class_Oless( X,
% 0.92/1.53 c_Groups_Otimes__class_Otimes( X, c_Int_Onumber__class_Onumber__of( X, T
% 0.92/1.53 ), Y ), Z ) }.
% 0.92/1.53 { c_Orderings_Oord__class_Oless( X, c_Groups_Ozero__class_Ozero( X ), Y ),
% 0.92/1.53 alpha51( X, Y, Z, T ) }.
% 0.92/1.53 { ! c_Orderings_Oord__class_Oless( X, c_Groups_Otimes__class_Otimes( X,
% 0.92/1.53 c_Int_Onumber__class_Onumber__of( X, T ), Y ), Z ), alpha51( X, Y, Z, T )
% 0.92/1.53 }.
% 0.92/1.53 { ! alpha22( X, Y, Z ), c_Orderings_Oord__class_Oless( X, Y,
% 0.92/1.53 c_Groups_Ozero__class_Ozero( X ) ), c_Orderings_Oord__class_Oless( X,
% 0.92/1.53 c_Int_Onumber__class_Onumber__of( X, Z ), c_Groups_Ozero__class_Ozero( X
% 0.92/1.53 ) ) }.
% 0.92/1.53 { ! c_Orderings_Oord__class_Oless( X, Y, c_Groups_Ozero__class_Ozero( X ) )
% 0.92/1.53 , alpha22( X, Y, Z ) }.
% 0.92/1.53 { ! c_Orderings_Oord__class_Oless( X, c_Int_Onumber__class_Onumber__of( X,
% 0.92/1.53 Z ), c_Groups_Ozero__class_Ozero( X ) ), alpha22( X, Y, Z ) }.
% 0.92/1.53 { ! class_Fields_Olinordered__field__inverse__zero( X ), !
% 0.92/1.53 class_Int_Onumber( X ), ! c_Orderings_Oord__class_Oless( X,
% 0.92/1.53 c_Rings_Oinverse__class_Odivide( X, T, Z ),
% 0.92/1.53 c_Int_Onumber__class_Onumber__of( X, Y ) ), alpha52( X, Y, Z, T ) }.
% 0.92/1.53 { ! class_Fields_Olinordered__field__inverse__zero( X ), !
% 0.92/1.53 class_Int_Onumber( X ), ! c_Orderings_Oord__class_Oless( X,
% 0.92/1.53 c_Rings_Oinverse__class_Odivide( X, T, Z ),
% 0.92/1.53 c_Int_Onumber__class_Onumber__of( X, Y ) ), alpha66( X, Y, Z, T ) }.
% 0.92/1.53 { ! class_Fields_Olinordered__field__inverse__zero( X ), !
% 0.92/1.53 class_Int_Onumber( X ), ! alpha52( X, Y, Z, T ), ! alpha66( X, Y, Z, T )
% 0.92/1.53 , c_Orderings_Oord__class_Oless( X, c_Rings_Oinverse__class_Odivide( X, T
% 0.92/1.53 , Z ), c_Int_Onumber__class_Onumber__of( X, Y ) ) }.
% 0.92/1.53 { ! alpha66( X, Y, Z, T ), c_Orderings_Oord__class_Oless( X,
% 0.92/1.53 c_Groups_Ozero__class_Ozero( X ), Z ), alpha79( X, Y, Z, T ) }.
% 0.92/1.53 { ! c_Orderings_Oord__class_Oless( X, c_Groups_Ozero__class_Ozero( X ), Z )
% 0.92/1.53 , alpha66( X, Y, Z, T ) }.
% 0.92/1.53 { ! alpha79( X, Y, Z, T ), alpha66( X, Y, Z, T ) }.
% 0.92/1.53 { ! alpha79( X, Y, Z, T ), alpha93( X, Y, Z, T ) }.
% 0.92/1.53 { ! alpha79( X, Y, Z, T ), alpha23( X, Y, Z ) }.
% 0.92/1.53 { ! alpha93( X, Y, Z, T ), ! alpha23( X, Y, Z ), alpha79( X, Y, Z, T ) }.
% 0.92/1.53 { ! alpha93( X, Y, Z, T ), ! c_Orderings_Oord__class_Oless( X, Z,
% 0.92/1.53 c_Groups_Ozero__class_Ozero( X ) ), c_Orderings_Oord__class_Oless( X,
% 0.92/1.53 c_Groups_Otimes__class_Otimes( X, c_Int_Onumber__class_Onumber__of( X, Y
% 0.92/1.53 ), Z ), T ) }.
% 0.92/1.53 { c_Orderings_Oord__class_Oless( X, Z, c_Groups_Ozero__class_Ozero( X ) ),
% 0.92/1.53 alpha93( X, Y, Z, T ) }.
% 0.92/1.53 { ! c_Orderings_Oord__class_Oless( X, c_Groups_Otimes__class_Otimes( X,
% 0.92/1.53 c_Int_Onumber__class_Onumber__of( X, Y ), Z ), T ), alpha93( X, Y, Z, T )
% 0.92/1.53 }.
% 0.92/1.53 { ! alpha52( X, Y, Z, T ), ! c_Orderings_Oord__class_Oless( X,
% 0.92/1.53 c_Groups_Ozero__class_Ozero( X ), Z ), c_Orderings_Oord__class_Oless( X,
% 0.92/1.53 T, c_Groups_Otimes__class_Otimes( X, c_Int_Onumber__class_Onumber__of( X
% 0.92/1.53 , Y ), Z ) ) }.
% 0.92/1.53 { c_Orderings_Oord__class_Oless( X, c_Groups_Ozero__class_Ozero( X ), Z ),
% 0.92/1.53 alpha52( X, Y, Z, T ) }.
% 0.92/1.53 { ! c_Orderings_Oord__class_Oless( X, T, c_Groups_Otimes__class_Otimes( X,
% 0.92/1.53 c_Int_Onumber__class_Onumber__of( X, Y ), Z ) ), alpha52( X, Y, Z, T ) }
% 0.92/1.53 .
% 0.92/1.53 { ! alpha23( X, Y, Z ), c_Orderings_Oord__class_Oless( X, Z,
% 0.92/1.53 c_Groups_Ozero__class_Ozero( X ) ), c_Orderings_Oord__class_Oless( X,
% 0.92/1.53 c_Groups_Ozero__class_Ozero( X ), c_Int_Onumber__class_Onumber__of( X, Y
% 0.92/1.53 ) ) }.
% 0.92/1.53 { ! c_Orderings_Oord__class_Oless( X, Z, c_Groups_Ozero__class_Ozero( X ) )
% 0.92/1.53 , alpha23( X, Y, Z ) }.
% 0.92/1.53 { ! c_Orderings_Oord__class_Oless( X, c_Groups_Ozero__class_Ozero( X ),
% 0.92/1.53 c_Int_Onumber__class_Onumber__of( X, Y ) ), alpha23( X, Y, Z ) }.
% 0.92/1.53 { ! class_Fields_Olinordered__field__inverse__zero( X ), !
% 0.92/1.53 class_Int_Onumber( X ), ! c_Orderings_Oord__class_Oless( X,
% 0.92/1.53 c_Rings_Oinverse__class_Odivide( X, T, c_Int_Onumber__class_Onumber__of(
% 0.92/1.53 X, Z ) ), Y ), alpha53( X, Y, Z, T ) }.
% 0.92/1.53 { ! class_Fields_Olinordered__field__inverse__zero( X ), !
% 0.92/1.53 class_Int_Onumber( X ), ! c_Orderings_Oord__class_Oless( X,
% 0.92/1.53 c_Rings_Oinverse__class_Odivide( X, T, c_Int_Onumber__class_Onumber__of(
% 0.92/1.53 X, Z ) ), Y ), alpha67( X, Y, Z, T ) }.
% 0.92/1.53 { ! class_Fields_Olinordered__field__inverse__zero( X ), !
% 0.92/1.53 class_Int_Onumber( X ), ! alpha53( X, Y, Z, T ), ! alpha67( X, Y, Z, T )
% 0.92/1.53 , c_Orderings_Oord__class_Oless( X, c_Rings_Oinverse__class_Odivide( X, T
% 0.92/1.53 , c_Int_Onumber__class_Onumber__of( X, Z ) ), Y ) }.
% 0.92/1.53 { ! alpha67( X, Y, Z, T ), c_Orderings_Oord__class_Oless( X,
% 0.92/1.53 c_Groups_Ozero__class_Ozero( X ), c_Int_Onumber__class_Onumber__of( X, Z
% 0.92/1.53 ) ), alpha80( X, Y, Z, T ) }.
% 0.92/1.53 { ! c_Orderings_Oord__class_Oless( X, c_Groups_Ozero__class_Ozero( X ),
% 0.92/1.53 c_Int_Onumber__class_Onumber__of( X, Z ) ), alpha67( X, Y, Z, T ) }.
% 0.92/1.53 { ! alpha80( X, Y, Z, T ), alpha67( X, Y, Z, T ) }.
% 0.92/1.53 { ! alpha80( X, Y, Z, T ), alpha94( X, Y, Z, T ) }.
% 0.92/1.53 { ! alpha80( X, Y, Z, T ), alpha24( X, Y, Z ) }.
% 0.92/1.53 { ! alpha94( X, Y, Z, T ), ! alpha24( X, Y, Z ), alpha80( X, Y, Z, T ) }.
% 0.92/1.53 { ! alpha94( X, Y, Z, T ), ! c_Orderings_Oord__class_Oless( X,
% 0.92/1.53 c_Int_Onumber__class_Onumber__of( X, Z ), c_Groups_Ozero__class_Ozero( X
% 0.92/1.53 ) ), c_Orderings_Oord__class_Oless( X, c_Groups_Otimes__class_Otimes( X
% 0.92/1.53 , Y, c_Int_Onumber__class_Onumber__of( X, Z ) ), T ) }.
% 0.92/1.53 { c_Orderings_Oord__class_Oless( X, c_Int_Onumber__class_Onumber__of( X, Z
% 0.92/1.53 ), c_Groups_Ozero__class_Ozero( X ) ), alpha94( X, Y, Z, T ) }.
% 0.92/1.53 { ! c_Orderings_Oord__class_Oless( X, c_Groups_Otimes__class_Otimes( X, Y,
% 0.92/1.53 c_Int_Onumber__class_Onumber__of( X, Z ) ), T ), alpha94( X, Y, Z, T ) }
% 0.92/1.53 .
% 0.92/1.53 { ! alpha53( X, Y, Z, T ), ! c_Orderings_Oord__class_Oless( X,
% 0.92/1.53 c_Groups_Ozero__class_Ozero( X ), c_Int_Onumber__class_Onumber__of( X, Z
% 0.92/1.53 ) ), c_Orderings_Oord__class_Oless( X, T, c_Groups_Otimes__class_Otimes
% 0.92/1.53 ( X, Y, c_Int_Onumber__class_Onumber__of( X, Z ) ) ) }.
% 0.92/1.53 { c_Orderings_Oord__class_Oless( X, c_Groups_Ozero__class_Ozero( X ),
% 0.92/1.53 c_Int_Onumber__class_Onumber__of( X, Z ) ), alpha53( X, Y, Z, T ) }.
% 0.92/1.53 { ! c_Orderings_Oord__class_Oless( X, T, c_Groups_Otimes__class_Otimes( X,
% 0.92/1.53 Y, c_Int_Onumber__class_Onumber__of( X, Z ) ) ), alpha53( X, Y, Z, T ) }
% 0.92/1.53 .
% 0.92/1.53 { ! alpha24( X, Y, Z ), c_Orderings_Oord__class_Oless( X,
% 0.92/1.53 c_Int_Onumber__class_Onumber__of( X, Z ), c_Groups_Ozero__class_Ozero( X
% 0.92/1.53 ) ), c_Orderings_Oord__class_Oless( X, c_Groups_Ozero__class_Ozero( X )
% 0.92/1.53 , Y ) }.
% 0.92/1.53 { ! c_Orderings_Oord__class_Oless( X, c_Int_Onumber__class_Onumber__of( X,
% 0.92/1.53 Z ), c_Groups_Ozero__class_Ozero( X ) ), alpha24( X, Y, Z ) }.
% 0.92/1.53 { ! c_Orderings_Oord__class_Oless( X, c_Groups_Ozero__class_Ozero( X ), Y )
% 0.92/1.53 , alpha24( X, Y, Z ) }.
% 0.92/1.53 { ! class_Fields_Olinordered__field__inverse__zero( X ), !
% 0.92/1.53 class_Int_Onumber( X ), ! c_Orderings_Oord__class_Oless__eq( X, T,
% 0.92/1.53 c_Rings_Oinverse__class_Odivide( X, Z, c_Int_Onumber__class_Onumber__of(
% 0.92/1.53 X, Y ) ) ), alpha54( X, Y, Z, T ) }.
% 0.92/1.53 { ! class_Fields_Olinordered__field__inverse__zero( X ), !
% 0.92/1.53 class_Int_Onumber( X ), ! c_Orderings_Oord__class_Oless__eq( X, T,
% 0.92/1.53 c_Rings_Oinverse__class_Odivide( X, Z, c_Int_Onumber__class_Onumber__of(
% 0.92/1.53 X, Y ) ) ), alpha68( X, Y, Z, T ) }.
% 0.92/1.53 { ! class_Fields_Olinordered__field__inverse__zero( X ), !
% 0.92/1.53 class_Int_Onumber( X ), ! alpha54( X, Y, Z, T ), ! alpha68( X, Y, Z, T )
% 0.92/1.53 , c_Orderings_Oord__class_Oless__eq( X, T,
% 0.92/1.53 c_Rings_Oinverse__class_Odivide( X, Z, c_Int_Onumber__class_Onumber__of(
% 0.92/1.53 X, Y ) ) ) }.
% 0.92/1.53 { ! alpha68( X, Y, Z, T ), c_Orderings_Oord__class_Oless( X,
% 0.92/1.53 c_Groups_Ozero__class_Ozero( X ), c_Int_Onumber__class_Onumber__of( X, Y
% 0.92/1.53 ) ), alpha81( X, Y, Z, T ) }.
% 0.92/1.53 { ! c_Orderings_Oord__class_Oless( X, c_Groups_Ozero__class_Ozero( X ),
% 0.92/1.53 c_Int_Onumber__class_Onumber__of( X, Y ) ), alpha68( X, Y, Z, T ) }.
% 0.92/1.53 { ! alpha81( X, Y, Z, T ), alpha68( X, Y, Z, T ) }.
% 0.92/1.53 { ! alpha81( X, Y, Z, T ), alpha95( X, Y, Z, T ) }.
% 0.92/1.53 { ! alpha81( X, Y, Z, T ), alpha25( X, Y, T ) }.
% 0.92/1.53 { ! alpha95( X, Y, Z, T ), ! alpha25( X, Y, T ), alpha81( X, Y, Z, T ) }.
% 0.92/1.53 { ! alpha95( X, Y, Z, T ), ! c_Orderings_Oord__class_Oless( X,
% 0.92/1.53 c_Int_Onumber__class_Onumber__of( X, Y ), c_Groups_Ozero__class_Ozero( X
% 0.92/1.53 ) ), c_Orderings_Oord__class_Oless__eq( X, Z,
% 0.92/1.53 c_Groups_Otimes__class_Otimes( X, T, c_Int_Onumber__class_Onumber__of( X
% 0.92/1.53 , Y ) ) ) }.
% 0.92/1.53 { c_Orderings_Oord__class_Oless( X, c_Int_Onumber__class_Onumber__of( X, Y
% 0.92/1.53 ), c_Groups_Ozero__class_Ozero( X ) ), alpha95( X, Y, Z, T ) }.
% 0.92/1.53 { ! c_Orderings_Oord__class_Oless__eq( X, Z, c_Groups_Otimes__class_Otimes
% 0.92/1.53 ( X, T, c_Int_Onumber__class_Onumber__of( X, Y ) ) ), alpha95( X, Y, Z, T
% 0.92/1.53 ) }.
% 0.92/1.53 { ! alpha54( X, Y, Z, T ), ! c_Orderings_Oord__class_Oless( X,
% 0.92/1.53 c_Groups_Ozero__class_Ozero( X ), c_Int_Onumber__class_Onumber__of( X, Y
% 0.92/1.53 ) ), c_Orderings_Oord__class_Oless__eq( X, c_Groups_Otimes__class_Otimes
% 0.92/1.53 ( X, T, c_Int_Onumber__class_Onumber__of( X, Y ) ), Z ) }.
% 0.92/1.53 { c_Orderings_Oord__class_Oless( X, c_Groups_Ozero__class_Ozero( X ),
% 0.92/1.53 c_Int_Onumber__class_Onumber__of( X, Y ) ), alpha54( X, Y, Z, T ) }.
% 0.92/1.53 { ! c_Orderings_Oord__class_Oless__eq( X, c_Groups_Otimes__class_Otimes( X
% 0.92/1.53 , T, c_Int_Onumber__class_Onumber__of( X, Y ) ), Z ), alpha54( X, Y, Z, T
% 0.92/1.53 ) }.
% 0.92/1.53 { ! alpha25( X, Y, Z ), c_Orderings_Oord__class_Oless( X,
% 0.92/1.53 c_Int_Onumber__class_Onumber__of( X, Y ), c_Groups_Ozero__class_Ozero( X
% 0.92/1.53 ) ), c_Orderings_Oord__class_Oless__eq( X, Z,
% 0.92/1.53 c_Groups_Ozero__class_Ozero( X ) ) }.
% 0.92/1.53 { ! c_Orderings_Oord__class_Oless( X, c_Int_Onumber__class_Onumber__of( X,
% 0.92/1.53 Y ), c_Groups_Ozero__class_Ozero( X ) ), alpha25( X, Y, Z ) }.
% 0.92/1.53 { ! c_Orderings_Oord__class_Oless__eq( X, Z, c_Groups_Ozero__class_Ozero( X
% 0.92/1.53 ) ), alpha25( X, Y, Z ) }.
% 0.92/1.53 { ! class_Fields_Olinordered__field__inverse__zero( X ), !
% 0.92/1.53 class_Int_Onumber( X ), ! c_Orderings_Oord__class_Oless__eq( X,
% 0.92/1.53 c_Int_Onumber__class_Onumber__of( X, T ), c_Rings_Oinverse__class_Odivide
% 0.92/1.53 ( X, Z, Y ) ), alpha55( X, Y, Z, T ) }.
% 0.92/1.53 { ! class_Fields_Olinordered__field__inverse__zero( X ), !
% 0.92/1.53 class_Int_Onumber( X ), ! c_Orderings_Oord__class_Oless__eq( X,
% 0.92/1.53 c_Int_Onumber__class_Onumber__of( X, T ), c_Rings_Oinverse__class_Odivide
% 0.92/1.53 ( X, Z, Y ) ), alpha69( X, Y, Z, T ) }.
% 0.92/1.53 { ! class_Fields_Olinordered__field__inverse__zero( X ), !
% 0.92/1.53 class_Int_Onumber( X ), ! alpha55( X, Y, Z, T ), ! alpha69( X, Y, Z, T )
% 0.92/1.53 , c_Orderings_Oord__class_Oless__eq( X, c_Int_Onumber__class_Onumber__of
% 0.92/1.53 ( X, T ), c_Rings_Oinverse__class_Odivide( X, Z, Y ) ) }.
% 0.92/1.53 { ! alpha69( X, Y, Z, T ), c_Orderings_Oord__class_Oless( X,
% 0.92/1.53 c_Groups_Ozero__class_Ozero( X ), Y ), alpha82( X, Y, Z, T ) }.
% 0.92/1.53 { ! c_Orderings_Oord__class_Oless( X, c_Groups_Ozero__class_Ozero( X ), Y )
% 0.92/1.53 , alpha69( X, Y, Z, T ) }.
% 0.92/1.53 { ! alpha82( X, Y, Z, T ), alpha69( X, Y, Z, T ) }.
% 0.92/1.53 { ! alpha82( X, Y, Z, T ), alpha96( X, Y, Z, T ) }.
% 0.92/1.53 { ! alpha82( X, Y, Z, T ), alpha26( X, Y, T ) }.
% 0.92/1.53 { ! alpha96( X, Y, Z, T ), ! alpha26( X, Y, T ), alpha82( X, Y, Z, T ) }.
% 0.92/1.53 { ! alpha96( X, Y, Z, T ), ! c_Orderings_Oord__class_Oless( X, Y,
% 0.92/1.53 c_Groups_Ozero__class_Ozero( X ) ), c_Orderings_Oord__class_Oless__eq( X
% 0.92/1.53 , Z, c_Groups_Otimes__class_Otimes( X, c_Int_Onumber__class_Onumber__of(
% 0.92/1.53 X, T ), Y ) ) }.
% 0.92/1.53 { c_Orderings_Oord__class_Oless( X, Y, c_Groups_Ozero__class_Ozero( X ) ),
% 0.92/1.53 alpha96( X, Y, Z, T ) }.
% 0.92/1.53 { ! c_Orderings_Oord__class_Oless__eq( X, Z, c_Groups_Otimes__class_Otimes
% 0.92/1.53 ( X, c_Int_Onumber__class_Onumber__of( X, T ), Y ) ), alpha96( X, Y, Z, T
% 0.92/1.53 ) }.
% 0.92/1.53 { ! alpha55( X, Y, Z, T ), ! c_Orderings_Oord__class_Oless( X,
% 0.92/1.53 c_Groups_Ozero__class_Ozero( X ), Y ), c_Orderings_Oord__class_Oless__eq
% 0.92/1.53 ( X, c_Groups_Otimes__class_Otimes( X, c_Int_Onumber__class_Onumber__of(
% 0.92/1.53 X, T ), Y ), Z ) }.
% 0.92/1.53 { c_Orderings_Oord__class_Oless( X, c_Groups_Ozero__class_Ozero( X ), Y ),
% 0.92/1.53 alpha55( X, Y, Z, T ) }.
% 0.92/1.53 { ! c_Orderings_Oord__class_Oless__eq( X, c_Groups_Otimes__class_Otimes( X
% 0.92/1.53 , c_Int_Onumber__class_Onumber__of( X, T ), Y ), Z ), alpha55( X, Y, Z, T
% 0.92/1.53 ) }.
% 0.92/1.53 { ! alpha26( X, Y, Z ), c_Orderings_Oord__class_Oless( X, Y,
% 0.92/1.53 c_Groups_Ozero__class_Ozero( X ) ), c_Orderings_Oord__class_Oless__eq( X
% 0.92/1.53 , c_Int_Onumber__class_Onumber__of( X, Z ), c_Groups_Ozero__class_Ozero(
% 0.92/1.53 X ) ) }.
% 0.92/1.53 { ! c_Orderings_Oord__class_Oless( X, Y, c_Groups_Ozero__class_Ozero( X ) )
% 0.92/1.53 , alpha26( X, Y, Z ) }.
% 0.92/1.53 { ! c_Orderings_Oord__class_Oless__eq( X, c_Int_Onumber__class_Onumber__of
% 0.92/1.53 ( X, Z ), c_Groups_Ozero__class_Ozero( X ) ), alpha26( X, Y, Z ) }.
% 0.92/1.53 { ! class_Fields_Olinordered__field__inverse__zero( X ), !
% 0.92/1.53 class_Int_Onumber( X ), ! c_Orderings_Oord__class_Oless__eq( X,
% 0.92/1.53 c_Rings_Oinverse__class_Odivide( X, T, Z ),
% 0.92/1.53 c_Int_Onumber__class_Onumber__of( X, Y ) ), alpha56( X, Y, Z, T ) }.
% 0.92/1.53 { ! class_Fields_Olinordered__field__inverse__zero( X ), !
% 0.92/1.53 class_Int_Onumber( X ), ! c_Orderings_Oord__class_Oless__eq( X,
% 0.92/1.53 c_Rings_Oinverse__class_Odivide( X, T, Z ),
% 0.92/1.53 c_Int_Onumber__class_Onumber__of( X, Y ) ), alpha70( X, Y, Z, T ) }.
% 0.92/1.53 { ! class_Fields_Olinordered__field__inverse__zero( X ), !
% 0.92/1.53 class_Int_Onumber( X ), ! alpha56( X, Y, Z, T ), ! alpha70( X, Y, Z, T )
% 0.92/1.53 , c_Orderings_Oord__class_Oless__eq( X, c_Rings_Oinverse__class_Odivide(
% 0.92/1.53 X, T, Z ), c_Int_Onumber__class_Onumber__of( X, Y ) ) }.
% 0.92/1.53 { ! alpha70( X, Y, Z, T ), c_Orderings_Oord__class_Oless( X,
% 0.92/1.53 c_Groups_Ozero__class_Ozero( X ), Z ), alpha83( X, Y, Z, T ) }.
% 0.92/1.53 { ! c_Orderings_Oord__class_Oless( X, c_Groups_Ozero__class_Ozero( X ), Z )
% 0.92/1.53 , alpha70( X, Y, Z, T ) }.
% 0.92/1.53 { ! alpha83( X, Y, Z, T ), alpha70( X, Y, Z, T ) }.
% 0.92/1.53 { ! alpha83( X, Y, Z, T ), alpha97( X, Y, Z, T ) }.
% 0.92/1.53 { ! alpha83( X, Y, Z, T ), alpha27( X, Y, Z ) }.
% 0.92/1.53 { ! alpha97( X, Y, Z, T ), ! alpha27( X, Y, Z ), alpha83( X, Y, Z, T ) }.
% 0.92/1.53 { ! alpha97( X, Y, Z, T ), ! c_Orderings_Oord__class_Oless( X, Z,
% 0.92/1.53 c_Groups_Ozero__class_Ozero( X ) ), c_Orderings_Oord__class_Oless__eq( X
% 0.92/1.53 , c_Groups_Otimes__class_Otimes( X, c_Int_Onumber__class_Onumber__of( X,
% 0.92/1.53 Y ), Z ), T ) }.
% 0.92/1.53 { c_Orderings_Oord__class_Oless( X, Z, c_Groups_Ozero__class_Ozero( X ) ),
% 0.92/1.53 alpha97( X, Y, Z, T ) }.
% 0.92/1.53 { ! c_Orderings_Oord__class_Oless__eq( X, c_Groups_Otimes__class_Otimes( X
% 0.92/1.53 , c_Int_Onumber__class_Onumber__of( X, Y ), Z ), T ), alpha97( X, Y, Z, T
% 0.92/1.53 ) }.
% 0.92/1.53 { ! alpha56( X, Y, Z, T ), ! c_Orderings_Oord__class_Oless( X,
% 0.92/1.53 c_Groups_Ozero__class_Ozero( X ), Z ), c_Orderings_Oord__class_Oless__eq
% 0.92/1.53 ( X, T, c_Groups_Otimes__class_Otimes( X,
% 0.92/1.53 c_Int_Onumber__class_Onumber__of( X, Y ), Z ) ) }.
% 0.92/1.53 { c_Orderings_Oord__class_Oless( X, c_Groups_Ozero__class_Ozero( X ), Z ),
% 0.92/1.53 alpha56( X, Y, Z, T ) }.
% 0.92/1.53 { ! c_Orderings_Oord__class_Oless__eq( X, T, c_Groups_Otimes__class_Otimes
% 0.92/1.53 ( X, c_Int_Onumber__class_Onumber__of( X, Y ), Z ) ), alpha56( X, Y, Z, T
% 0.92/1.53 ) }.
% 0.92/1.53 { ! alpha27( X, Y, Z ), c_Orderings_Oord__class_Oless( X, Z,
% 0.92/1.53 c_Groups_Ozero__class_Ozero( X ) ), c_Orderings_Oord__class_Oless__eq( X
% 0.92/1.53 , c_Groups_Ozero__class_Ozero( X ), c_Int_Onumber__class_Onumber__of( X,
% 0.92/1.53 Y ) ) }.
% 0.92/1.53 { ! c_Orderings_Oord__class_Oless( X, Z, c_Groups_Ozero__class_Ozero( X ) )
% 0.92/1.53 , alpha27( X, Y, Z ) }.
% 0.92/1.53 { ! c_Orderings_Oord__class_Oless__eq( X, c_Groups_Ozero__class_Ozero( X )
% 0.92/1.53 , c_Int_Onumber__class_Onumber__of( X, Y ) ), alpha27( X, Y, Z ) }.
% 0.92/1.53 { ! class_Fields_Olinordered__field__inverse__zero( X ), !
% 0.92/1.53 class_Int_Onumber( X ), ! c_Orderings_Oord__class_Oless__eq( X,
% 0.92/1.53 c_Rings_Oinverse__class_Odivide( X, T, c_Int_Onumber__class_Onumber__of(
% 0.92/1.53 X, Z ) ), Y ), alpha57( X, Y, Z, T ) }.
% 0.92/1.53 { ! class_Fields_Olinordered__field__inverse__zero( X ), !
% 0.92/1.53 class_Int_Onumber( X ), ! c_Orderings_Oord__class_Oless__eq( X,
% 0.92/1.53 c_Rings_Oinverse__class_Odivide( X, T, c_Int_Onumber__class_Onumber__of(
% 0.92/1.53 X, Z ) ), Y ), alpha71( X, Y, Z, T ) }.
% 0.92/1.53 { ! class_Fields_Olinordered__field__inverse__zero( X ), !
% 0.92/1.53 class_Int_Onumber( X ), ! alpha57( X, Y, Z, T ), ! alpha71( X, Y, Z, T )
% 0.92/1.53 , c_Orderings_Oord__class_Oless__eq( X, c_Rings_Oinverse__class_Odivide(
% 0.92/1.53 X, T, c_Int_Onumber__class_Onumber__of( X, Z ) ), Y ) }.
% 0.92/1.53 { ! alpha71( X, Y, Z, T ), c_Orderings_Oord__class_Oless( X,
% 0.92/1.53 c_Groups_Ozero__class_Ozero( X ), c_Int_Onumber__class_Onumber__of( X, Z
% 0.92/1.53 ) ), alpha84( X, Y, Z, T ) }.
% 0.92/1.53 { ! c_Orderings_Oord__class_Oless( X, c_Groups_Ozero__class_Ozero( X ),
% 0.92/1.53 c_Int_Onumber__class_Onumber__of( X, Z ) ), alpha71( X, Y, Z, T ) }.
% 0.92/1.53 { ! alpha84( X, Y, Z, T ), alpha71( X, Y, Z, T ) }.
% 0.92/1.53 { ! alpha84( X, Y, Z, T ), alpha98( X, Y, Z, T ) }.
% 0.92/1.53 { ! alpha84( X, Y, Z, T ), alpha28( X, Y, Z ) }.
% 0.92/1.53 { ! alpha98( X, Y, Z, T ), ! alpha28( X, Y, Z ), alpha84( X, Y, Z, T ) }.
% 0.92/1.53 { ! alpha98( X, Y, Z, T ), ! c_Orderings_Oord__class_Oless( X,
% 0.92/1.53 c_Int_Onumber__class_Onumber__of( X, Z ), c_Groups_Ozero__class_Ozero( X
% 0.92/1.53 ) ), c_Orderings_Oord__class_Oless__eq( X, c_Groups_Otimes__class_Otimes
% 0.92/1.53 ( X, Y, c_Int_Onumber__class_Onumber__of( X, Z ) ), T ) }.
% 0.92/1.53 { c_Orderings_Oord__class_Oless( X, c_Int_Onumber__class_Onumber__of( X, Z
% 0.92/1.53 ), c_Groups_Ozero__class_Ozero( X ) ), alpha98( X, Y, Z, T ) }.
% 0.92/1.53 { ! c_Orderings_Oord__class_Oless__eq( X, c_Groups_Otimes__class_Otimes( X
% 0.92/1.53 , Y, c_Int_Onumber__class_Onumber__of( X, Z ) ), T ), alpha98( X, Y, Z, T
% 0.92/1.53 ) }.
% 0.92/1.53 { ! alpha57( X, Y, Z, T ), ! c_Orderings_Oord__class_Oless( X,
% 0.92/1.53 c_Groups_Ozero__class_Ozero( X ), c_Int_Onumber__class_Onumber__of( X, Z
% 0.92/1.53 ) ), c_Orderings_Oord__class_Oless__eq( X, T,
% 0.92/1.53 c_Groups_Otimes__class_Otimes( X, Y, c_Int_Onumber__class_Onumber__of( X
% 0.92/1.53 , Z ) ) ) }.
% 0.92/1.53 { c_Orderings_Oord__class_Oless( X, c_Groups_Ozero__class_Ozero( X ),
% 0.92/1.53 c_Int_Onumber__class_Onumber__of( X, Z ) ), alpha57( X, Y, Z, T ) }.
% 0.92/1.53 { ! c_Orderings_Oord__class_Oless__eq( X, T, c_Groups_Otimes__class_Otimes
% 0.92/1.53 ( X, Y, c_Int_Onumber__class_Onumber__of( X, Z ) ) ), alpha57( X, Y, Z, T
% 0.92/1.53 ) }.
% 0.92/1.53 { ! alpha28( X, Y, Z ), c_Orderings_Oord__class_Oless( X,
% 0.92/1.53 c_Int_Onumber__class_Onumber__of( X, Z ), c_Groups_Ozero__class_Ozero( X
% 0.92/1.53 ) ), c_Orderings_Oord__class_Oless__eq( X, c_Groups_Ozero__class_Ozero(
% 0.92/1.53 X ), Y ) }.
% 0.92/1.53 { ! c_Orderings_Oord__class_Oless( X, c_Int_Onumber__class_Onumber__of( X,
% 0.92/1.53 Z ), c_Groups_Ozero__class_Ozero( X ) ), alpha28( X, Y, Z ) }.
% 0.92/1.53 { ! c_Orderings_Oord__class_Oless__eq( X, c_Groups_Ozero__class_Ozero( X )
% 0.92/1.53 , Y ), alpha28( X, Y, Z ) }.
% 0.92/1.53 { ! class_Int_Onumber__ring( X ), c_Groups_Oplus__class_Oplus( X,
% 0.92/1.53 c_Groups_Oone__class_Oone( X ), c_Groups_Oone__class_Oone( X ) ) =
% 0.92/1.53 c_Int_Onumber__class_Onumber__of( X, c_Int_OBit0( c_Int_OBit1( c_Int_OPls
% 0.92/1.53 ) ) ) }.
% 0.92/1.53 { ! c_Orderings_Oord__class_Oless__eq( tc_RealDef_Oreal,
% 0.92/1.53 c_Groups_Ozero__class_Ozero( tc_RealDef_Oreal ), X ), !
% 0.92/1.53 c_Orderings_Oord__class_Oless__eq( tc_RealDef_Oreal, X,
% 0.92/1.53 c_Transcendental_Opi ), c_Transcendental_Oarccos( c_Transcendental_Ocos(
% 0.92/1.53 X ) ) = X }.
% 0.92/1.53 { ! c_Orderings_Oord__class_Oless( tc_RealDef_Oreal, Y, X ),
% 0.92/1.53 c_Orderings_Oord__class_Oless( tc_RealDef_Oreal, Y,
% 0.92/1.53 c_Rings_Oinverse__class_Odivide( tc_RealDef_Oreal,
% 0.92/1.53 c_Groups_Oplus__class_Oplus( tc_RealDef_Oreal, Y, X ),
% 0.92/1.53 c_Int_Onumber__class_Onumber__of( tc_RealDef_Oreal, c_Int_OBit0(
% 0.92/1.53 c_Int_OBit1( c_Int_OPls ) ) ) ) ) }.
% 0.92/1.53 { ! c_Orderings_Oord__class_Oless( tc_RealDef_Oreal, Y, X ),
% 0.92/1.53 c_Orderings_Oord__class_Oless( tc_RealDef_Oreal,
% 0.92/1.53 c_Rings_Oinverse__class_Odivide( tc_RealDef_Oreal,
% 0.92/1.53 c_Groups_Oplus__class_Oplus( tc_RealDef_Oreal, Y, X ),
% 0.92/1.53 c_Int_Onumber__class_Onumber__of( tc_RealDef_Oreal, c_Int_OBit0(
% 0.92/1.53 c_Int_OBit1( c_Int_OPls ) ) ) ), X ) }.
% 0.92/1.53 { ! c_Orderings_Oord__class_Oless( tc_RealDef_Oreal,
% 0.92/1.53 c_Groups_Ouminus__class_Ouminus( tc_RealDef_Oreal,
% 0.92/1.53 c_Rings_Oinverse__class_Odivide( tc_RealDef_Oreal, c_Transcendental_Opi,
% 0.92/1.53 c_Int_Onumber__class_Onumber__of( tc_RealDef_Oreal, c_Int_OBit0(
% 0.92/1.53 c_Int_OBit1( c_Int_OPls ) ) ) ) ), X ), ! c_Orderings_Oord__class_Oless(
% 0.92/1.53 tc_RealDef_Oreal, X, c_Rings_Oinverse__class_Odivide( tc_RealDef_Oreal,
% 0.92/1.53 c_Transcendental_Opi, c_Int_Onumber__class_Onumber__of( tc_RealDef_Oreal
% 0.92/1.53 , c_Int_OBit0( c_Int_OBit1( c_Int_OPls ) ) ) ) ), c_Transcendental_Otan(
% 0.92/1.53 X ) = c_Rings_Oinverse__class_Odivide( tc_RealDef_Oreal,
% 0.92/1.53 c_Transcendental_Osin( c_Groups_Otimes__class_Otimes( tc_RealDef_Oreal,
% 0.92/1.53 c_Int_Onumber__class_Onumber__of( tc_RealDef_Oreal, c_Int_OBit0(
% 0.92/1.53 c_Int_OBit1( c_Int_OPls ) ) ), X ) ), c_Groups_Oplus__class_Oplus(
% 0.92/1.53 tc_RealDef_Oreal, c_Transcendental_Ocos( c_Groups_Otimes__class_Otimes(
% 0.92/1.53 tc_RealDef_Oreal, c_Int_Onumber__class_Onumber__of( tc_RealDef_Oreal,
% 0.92/1.53 c_Int_OBit0( c_Int_OBit1( c_Int_OPls ) ) ), X ) ),
% 0.92/1.53 c_Groups_Oone__class_Oone( tc_RealDef_Oreal ) ) ) }.
% 0.92/1.53 { c_Transcendental_Osin( c_Groups_Otimes__class_Otimes( tc_RealDef_Oreal,
% 0.92/1.53 c_Int_Onumber__class_Onumber__of( tc_RealDef_Oreal, c_Int_OBit0(
% 0.92/1.53 c_Int_OBit1( c_Int_OPls ) ) ), X ) ) = c_Groups_Otimes__class_Otimes(
% 0.92/1.53 tc_RealDef_Oreal, c_Groups_Otimes__class_Otimes( tc_RealDef_Oreal,
% 0.92/1.53 c_Int_Onumber__class_Onumber__of( tc_RealDef_Oreal, c_Int_OBit0(
% 0.92/1.53 c_Int_OBit1( c_Int_OPls ) ) ), c_Transcendental_Osin( X ) ),
% 0.92/1.53 c_Transcendental_Ocos( X ) ) }.
% 0.92/1.53 { ! c_Orderings_Oord__class_Oless__eq( tc_RealDef_Oreal,
% 0.92/1.53 c_Int_Onumber__class_Onumber__of( tc_RealDef_Oreal, c_Int_OMin ), X ), !
% 0.92/1.53 c_Orderings_Oord__class_Oless__eq( tc_RealDef_Oreal, X,
% 0.92/1.53 c_Groups_Oone__class_Oone( tc_RealDef_Oreal ) ),
% 0.92/1.53 c_Orderings_Oord__class_Oless__eq( tc_RealDef_Oreal,
% 0.92/1.53 c_Groups_Ozero__class_Ozero( tc_RealDef_Oreal ), c_Transcendental_Oarccos
% 0.92/1.53 ( X ) ) }.
% 0.92/1.53 { ! c_Orderings_Oord__class_Oless__eq( tc_RealDef_Oreal,
% 0.92/1.53 c_Int_Onumber__class_Onumber__of( tc_RealDef_Oreal, c_Int_OMin ), X ), !
% 0.92/1.53 c_Orderings_Oord__class_Oless__eq( tc_RealDef_Oreal, X,
% 0.92/1.53 c_Groups_Oone__class_Oone( tc_RealDef_Oreal ) ), c_Transcendental_Ocos(
% 0.92/1.53 c_Transcendental_Oarccos( X ) ) = X }.
% 0.92/1.53 { c_Transcendental_Osin( c_Groups_Otimes__class_Otimes( tc_RealDef_Oreal,
% 0.92/1.53 c_Int_Onumber__class_Onumber__of( tc_RealDef_Oreal, c_Int_OBit0(
% 0.92/1.53 c_Int_OBit1( c_Int_OPls ) ) ), c_Transcendental_Opi ) ) =
% 0.92/1.53 c_Groups_Ozero__class_Ozero( tc_RealDef_Oreal ) }.
% 0.92/1.53 { ! c_Orderings_Oord__class_Oless__eq( tc_RealDef_Oreal, X,
% 0.92/1.53 c_Groups_Ozero__class_Ozero( tc_RealDef_Oreal ) ), !
% 0.92/1.53 c_Orderings_Oord__class_Oless__eq( tc_RealDef_Oreal,
% 0.92/1.53 c_Groups_Ouminus__class_Ouminus( tc_RealDef_Oreal, c_Transcendental_Opi )
% 0.92/1.53 , X ), c_Transcendental_Oarccos( c_Transcendental_Ocos( X ) ) =
% 0.92/1.53 c_Groups_Ouminus__class_Ouminus( tc_RealDef_Oreal, X ) }.
% 0.92/1.53 { c_Orderings_Oord__class_Oless( tc_RealDef_Oreal,
% 0.92/1.53 c_Groups_Ouminus__class_Ouminus( tc_RealDef_Oreal,
% 0.92/1.53 c_Groups_Otimes__class_Otimes( tc_RealDef_Oreal,
% 0.92/1.53 c_Int_Onumber__class_Onumber__of( tc_RealDef_Oreal, c_Int_OBit0(
% 0.92/1.53 c_Int_OBit1( c_Int_OPls ) ) ), c_Transcendental_Opi ) ),
% 0.92/1.53 c_Transcendental_Opi ) }.
% 0.92/1.53 { ! c_Orderings_Oord__class_Oless__eq( tc_RealDef_Oreal,
% 0.92/1.53 c_Int_Onumber__class_Onumber__of( tc_RealDef_Oreal, c_Int_OMin ), X ), !
% 0.92/1.53 c_Orderings_Oord__class_Oless__eq( tc_RealDef_Oreal, X,
% 0.92/1.53 c_Groups_Oone__class_Oone( tc_RealDef_Oreal ) ),
% 0.92/1.53 c_Orderings_Oord__class_Oless__eq( tc_RealDef_Oreal,
% 0.92/1.53 c_Transcendental_Oarccos( X ), c_Transcendental_Opi ) }.
% 0.92/1.53 { c_Transcendental_Ocos( c_Groups_Otimes__class_Otimes( tc_RealDef_Oreal,
% 0.92/1.53 c_Int_Onumber__class_Onumber__of( tc_RealDef_Oreal, c_Int_OBit0(
% 0.92/1.53 c_Int_OBit1( c_Int_OPls ) ) ), c_Transcendental_Opi ) ) =
% 0.92/1.53 c_Groups_Oone__class_Oone( tc_RealDef_Oreal ) }.
% 0.92/1.53 { ! c_Orderings_Oord__class_Oless( tc_RealDef_Oreal,
% 0.92/1.53 c_Groups_Ozero__class_Ozero( tc_RealDef_Oreal ), X ), !
% 0.92/1.53 c_Orderings_Oord__class_Oless( tc_RealDef_Oreal, X,
% 0.92/1.53 c_Int_Onumber__class_Onumber__of( tc_RealDef_Oreal, c_Int_OBit0(
% 0.92/1.53 c_Int_OBit1( c_Int_OPls ) ) ) ), c_Orderings_Oord__class_Oless(
% 0.92/1.53 tc_RealDef_Oreal, c_Transcendental_Ocos( c_Groups_Otimes__class_Otimes(
% 0.92/1.53 tc_RealDef_Oreal, c_Int_Onumber__class_Onumber__of( tc_RealDef_Oreal,
% 0.92/1.53 c_Int_OBit0( c_Int_OBit1( c_Int_OPls ) ) ), X ) ),
% 0.92/1.53 c_Groups_Oone__class_Oone( tc_RealDef_Oreal ) ) }.
% 0.92/1.53 { c_Transcendental_Ocos( c_Groups_Otimes__class_Otimes( tc_RealDef_Oreal,
% 0.92/1.53 c_Rings_Oinverse__class_Odivide( tc_RealDef_Oreal,
% 0.92/1.53 c_Int_Onumber__class_Onumber__of( tc_RealDef_Oreal, c_Int_OBit1(
% 0.92/1.53 c_Int_OBit1( c_Int_OPls ) ) ), c_Int_Onumber__class_Onumber__of(
% 0.92/1.53 tc_RealDef_Oreal, c_Int_OBit0( c_Int_OBit1( c_Int_OPls ) ) ) ),
% 0.92/1.53 c_Transcendental_Opi ) ) = c_Groups_Ozero__class_Ozero( tc_RealDef_Oreal
% 0.92/1.53 ) }.
% 0.92/1.53 { ! c_Orderings_Oord__class_Oless__eq( tc_RealDef_Oreal,
% 0.92/1.53 c_Int_Onumber__class_Onumber__of( tc_RealDef_Oreal, c_Int_OMin ), X ), !
% 0.92/1.53 c_Orderings_Oord__class_Oless__eq( tc_RealDef_Oreal, X,
% 0.92/1.53 c_Groups_Oone__class_Oone( tc_RealDef_Oreal ) ),
% 0.92/1.53 c_Orderings_Oord__class_Oless__eq( tc_RealDef_Oreal,
% 0.92/1.53 c_Groups_Ozero__class_Ozero( tc_RealDef_Oreal ), c_Transcendental_Oarccos
% 0.92/1.53 ( X ) ) }.
% 0.92/1.53 { ! c_Orderings_Oord__class_Oless__eq( tc_RealDef_Oreal,
% 0.92/1.53 c_Int_Onumber__class_Onumber__of( tc_RealDef_Oreal, c_Int_OMin ), X ), !
% 0.92/1.53 c_Orderings_Oord__class_Oless__eq( tc_RealDef_Oreal, X,
% 0.92/1.53 c_Groups_Oone__class_Oone( tc_RealDef_Oreal ) ),
% 0.92/1.53 c_Orderings_Oord__class_Oless__eq( tc_RealDef_Oreal,
% 0.92/1.53 c_Transcendental_Oarccos( X ), c_Transcendental_Opi ) }.
% 0.92/1.53 { ! c_Orderings_Oord__class_Oless( tc_RealDef_Oreal,
% 0.92/1.53 c_Int_Onumber__class_Onumber__of( tc_RealDef_Oreal, c_Int_OMin ), X ), !
% 0.92/1.53 c_Orderings_Oord__class_Oless( tc_RealDef_Oreal, X,
% 0.92/1.53 c_Groups_Oone__class_Oone( tc_RealDef_Oreal ) ),
% 0.92/1.53 c_Orderings_Oord__class_Oless( tc_RealDef_Oreal,
% 0.92/1.53 c_Groups_Ozero__class_Ozero( tc_RealDef_Oreal ), c_Transcendental_Oarccos
% 0.92/1.53 ( X ) ) }.
% 0.92/1.53 { ! c_Orderings_Oord__class_Oless( tc_RealDef_Oreal,
% 0.92/1.53 c_Int_Onumber__class_Onumber__of( tc_RealDef_Oreal, c_Int_OMin ), X ), !
% 0.92/1.53 c_Orderings_Oord__class_Oless( tc_RealDef_Oreal, X,
% 0.92/1.53 c_Groups_Oone__class_Oone( tc_RealDef_Oreal ) ),
% 0.92/1.53 c_Orderings_Oord__class_Oless( tc_RealDef_Oreal, c_Transcendental_Oarccos
% 0.92/1.53 ( X ), c_Transcendental_Opi ) }.
% 0.92/1.53 { c_Groups_Oplus__class_Oplus( tc_RealDef_Oreal,
% 0.92/1.53 c_Rings_Oinverse__class_Odivide( tc_RealDef_Oreal, X,
% 0.92/1.53 c_Int_Onumber__class_Onumber__of( tc_RealDef_Oreal, c_Int_OBit0(
% 0.92/1.53 c_Int_OBit1( c_Int_OPls ) ) ) ), c_Rings_Oinverse__class_Odivide(
% 0.92/1.53 tc_RealDef_Oreal, X, c_Int_Onumber__class_Onumber__of( tc_RealDef_Oreal,
% 0.92/1.53 c_Int_OBit0( c_Int_OBit1( c_Int_OPls ) ) ) ) ) = X }.
% 0.92/1.53 { ! Z = c_Rings_Oinverse__class_Odivide( tc_RealDef_Oreal, Y,
% 0.92/1.53 c_Groups_Otimes__class_Otimes( tc_RealDef_Oreal,
% 0.92/1.53 c_Int_Onumber__class_Onumber__of( tc_RealDef_Oreal, c_Int_OBit0(
% 0.92/1.53 c_Int_OBit1( c_Int_OPls ) ) ), X ) ), c_Groups_Otimes__class_Otimes(
% 0.92/1.53 tc_RealDef_Oreal, c_Int_Onumber__class_Onumber__of( tc_RealDef_Oreal,
% 0.92/1.53 c_Int_OBit0( c_Int_OBit1( c_Int_OPls ) ) ), Z ) =
% 0.92/1.53 c_Rings_Oinverse__class_Odivide( tc_RealDef_Oreal, Y, X ) }.
% 0.92/1.53 { ! c_Groups_Otimes__class_Otimes( tc_RealDef_Oreal,
% 0.92/1.53 c_Int_Onumber__class_Onumber__of( tc_RealDef_Oreal, c_Int_OBit0(
% 0.92/1.53 c_Int_OBit1( c_Int_OPls ) ) ), Z ) = c_Rings_Oinverse__class_Odivide(
% 0.92/1.53 tc_RealDef_Oreal, Y, X ), Z = c_Rings_Oinverse__class_Odivide(
% 0.92/1.53 tc_RealDef_Oreal, Y, c_Groups_Otimes__class_Otimes( tc_RealDef_Oreal,
% 0.92/1.53 c_Int_Onumber__class_Onumber__of( tc_RealDef_Oreal, c_Int_OBit0(
% 0.92/1.53 c_Int_OBit1( c_Int_OPls ) ) ), X ) ) }.
% 0.92/1.53 { ! class_Rings_Ocomm__ring__1( X ), c_Groups_Ouminus__class_Ouminus( X, Y
% 0.92/1.53 ) = c_Groups_Otimes__class_Otimes( X, c_Groups_Ouminus__class_Ouminus( X
% 0.92/1.53 , c_Groups_Oone__class_Oone( X ) ), Y ) }.
% 0.92/1.53 { ! class_Rings_Ocomm__semiring__1( X ), c_Groups_Oplus__class_Oplus( X,
% 0.92/1.53 c_Groups_Otimes__class_Otimes( X, Z, Y ), Y ) =
% 0.92/1.53 c_Groups_Otimes__class_Otimes( X, c_Groups_Oplus__class_Oplus( X, Z,
% 0.92/1.53 c_Groups_Oone__class_Oone( X ) ), Y ) }.
% 0.92/1.53 { ! class_Rings_Ocomm__semiring__1( X ), c_Groups_Oplus__class_Oplus( X, Z
% 0.92/1.53 , c_Groups_Otimes__class_Otimes( X, Y, Z ) ) =
% 0.92/1.53 c_Groups_Otimes__class_Otimes( X, c_Groups_Oplus__class_Oplus( X, Y,
% 0.92/1.53 c_Groups_Oone__class_Oone( X ) ), Z ) }.
% 0.92/1.53 { c_Groups_Otimes__class_Otimes( tc_Int_Oint, c_Int_OBit1( Y ), X ) =
% 0.92/1.53 c_Groups_Oplus__class_Oplus( tc_Int_Oint, c_Int_OBit0(
% 0.92/1.53 c_Groups_Otimes__class_Otimes( tc_Int_Oint, Y, X ) ), X ) }.
% 0.92/1.53 { c_Groups_Oplus__class_Oplus( tc_Int_Oint, Y, X ) =
% 0.92/1.53 c_Groups_Oplus__class_Oplus( tc_Int_Oint, X, Y ) }.
% 0.92/1.53 { c_Groups_Otimes__class_Otimes( tc_Int_Oint, Y, X ) =
% 0.92/1.53 c_Groups_Otimes__class_Otimes( tc_Int_Oint, X, Y ) }.
% 0.92/1.53 { c_Groups_Oplus__class_Oplus( tc_Int_Oint, Z, c_Groups_Oplus__class_Oplus
% 0.92/1.53 ( tc_Int_Oint, Y, X ) ) = c_Groups_Oplus__class_Oplus( tc_Int_Oint, Y,
% 0.92/1.53 c_Groups_Oplus__class_Oplus( tc_Int_Oint, Z, X ) ) }.
% 0.92/1.53 { c_Groups_Otimes__class_Otimes( tc_Int_Oint, Z,
% 0.92/1.53 c_Groups_Oplus__class_Oplus( tc_Int_Oint, Y, X ) ) =
% 0.92/1.53 c_Groups_Oplus__class_Oplus( tc_Int_Oint, c_Groups_Otimes__class_Otimes(
% 0.92/1.53 tc_Int_Oint, Z, Y ), c_Groups_Otimes__class_Otimes( tc_Int_Oint, Z, X ) )
% 0.92/1.53 }.
% 0.92/1.53 { c_Groups_Oplus__class_Oplus( tc_Int_Oint, c_Groups_Oplus__class_Oplus(
% 0.92/1.53 tc_Int_Oint, Z, Y ), X ) = c_Groups_Oplus__class_Oplus( tc_Int_Oint, Z,
% 0.92/1.53 c_Groups_Oplus__class_Oplus( tc_Int_Oint, Y, X ) ) }.
% 0.92/1.53 { c_Groups_Otimes__class_Otimes( tc_Int_Oint, c_Groups_Otimes__class_Otimes
% 0.92/1.53 ( tc_Int_Oint, Z, Y ), X ) = c_Groups_Otimes__class_Otimes( tc_Int_Oint,
% 0.92/1.53 Z, c_Groups_Otimes__class_Otimes( tc_Int_Oint, Y, X ) ) }.
% 0.92/1.53 { c_Groups_Otimes__class_Otimes( tc_Int_Oint, c_Groups_Oplus__class_Oplus(
% 0.92/1.53 tc_Int_Oint, Z, Y ), X ) = c_Groups_Oplus__class_Oplus( tc_Int_Oint,
% 0.92/1.53 c_Groups_Otimes__class_Otimes( tc_Int_Oint, Z, X ),
% 0.92/1.53 c_Groups_Otimes__class_Otimes( tc_Int_Oint, Y, X ) ) }.
% 0.92/1.53 { c_Groups_Oplus__class_Oplus( tc_Nat_Onat, c_Groups_Ozero__class_Ozero(
% 0.92/1.53 tc_Nat_Onat ), X ) = X }.
% 0.92/1.53 { c_Groups_Oplus__class_Oplus( tc_Nat_Onat, X, c_Groups_Ozero__class_Ozero
% 0.92/1.53 ( tc_Nat_Onat ) ) = X }.
% 0.92/1.53 { ! c_Groups_Oplus__class_Oplus( tc_Nat_Onat, Y, X ) =
% 0.92/1.53 c_Groups_Ozero__class_Ozero( tc_Nat_Onat ), Y =
% 0.92/1.53 c_Groups_Ozero__class_Ozero( tc_Nat_Onat ) }.
% 0.92/1.53 { ! c_Groups_Oplus__class_Oplus( tc_Nat_Onat, Y, X ) =
% 0.92/1.53 c_Groups_Ozero__class_Ozero( tc_Nat_Onat ), X =
% 0.92/1.53 c_Groups_Ozero__class_Ozero( tc_Nat_Onat ) }.
% 0.92/1.53 { ! Y = c_Groups_Ozero__class_Ozero( tc_Nat_Onat ), ! X =
% 0.92/1.53 c_Groups_Ozero__class_Ozero( tc_Nat_Onat ), c_Groups_Oplus__class_Oplus(
% 0.92/1.53 tc_Nat_Onat, Y, X ) = c_Groups_Ozero__class_Ozero( tc_Nat_Onat ) }.
% 0.92/1.53 { ! c_Groups_Oplus__class_Oplus( tc_Nat_Onat, Y, X ) = Y, X =
% 0.92/1.53 c_Groups_Ozero__class_Ozero( tc_Nat_Onat ) }.
% 0.92/1.53 { c_Groups_Oplus__class_Oplus( tc_Int_Oint, c_Groups_Ozero__class_Ozero(
% 0.92/1.53 tc_Int_Oint ), X ) = X }.
% 0.92/1.53 { c_Groups_Oplus__class_Oplus( tc_Int_Oint, X, c_Groups_Ozero__class_Ozero
% 0.92/1.53 ( tc_Int_Oint ) ) = X }.
% 0.92/1.53 { c_Groups_Oplus__class_Oplus( tc_Int_Oint, c_Int_OPls, X ) = X }.
% 0.92/1.53 { c_Groups_Oplus__class_Oplus( tc_Int_Oint, X, c_Int_OPls ) = X }.
% 0.92/1.53 { c_Int_OBit0( X ) = c_Groups_Oplus__class_Oplus( tc_Int_Oint, X, X ) }.
% 0.92/1.53 { c_Groups_Oplus__class_Oplus( tc_Int_Oint, c_Int_OBit0( Y ), c_Int_OBit0(
% 0.92/1.53 X ) ) = c_Int_OBit0( c_Groups_Oplus__class_Oplus( tc_Int_Oint, Y, X ) ) }
% 0.92/1.53 .
% 0.92/1.53 { c_Groups_Otimes__class_Otimes( tc_Nat_Onat, c_Groups_Ozero__class_Ozero(
% 0.92/1.53 tc_Nat_Onat ), X ) = c_Groups_Ozero__class_Ozero( tc_Nat_Onat ) }.
% 0.92/1.53 { c_Groups_Otimes__class_Otimes( tc_Nat_Onat, X,
% 0.92/1.53 c_Groups_Ozero__class_Ozero( tc_Nat_Onat ) ) =
% 0.92/1.53 c_Groups_Ozero__class_Ozero( tc_Nat_Onat ) }.
% 0.92/1.53 { ! c_Groups_Otimes__class_Otimes( tc_Nat_Onat, Y, X ) =
% 0.92/1.53 c_Groups_Ozero__class_Ozero( tc_Nat_Onat ), Y =
% 0.92/1.53 c_Groups_Ozero__class_Ozero( tc_Nat_Onat ), X =
% 0.92/1.53 c_Groups_Ozero__class_Ozero( tc_Nat_Onat ) }.
% 0.92/1.53 { ! Y = c_Groups_Ozero__class_Ozero( tc_Nat_Onat ),
% 0.92/1.53 c_Groups_Otimes__class_Otimes( tc_Nat_Onat, Y, X ) =
% 0.92/1.53 c_Groups_Ozero__class_Ozero( tc_Nat_Onat ) }.
% 0.92/1.53 { ! X = c_Groups_Ozero__class_Ozero( tc_Nat_Onat ),
% 0.92/1.53 c_Groups_Otimes__class_Otimes( tc_Nat_Onat, Y, X ) =
% 0.92/1.53 c_Groups_Ozero__class_Ozero( tc_Nat_Onat ) }.
% 0.92/1.53 { ! c_Groups_Otimes__class_Otimes( tc_Nat_Onat, Z, Y ) =
% 0.92/1.53 c_Groups_Otimes__class_Otimes( tc_Nat_Onat, Z, X ), Y = X, Z =
% 0.92/1.53 c_Groups_Ozero__class_Ozero( tc_Nat_Onat ) }.
% 0.92/1.53 { ! Y = X, c_Groups_Otimes__class_Otimes( tc_Nat_Onat, Z, Y ) =
% 0.92/1.53 c_Groups_Otimes__class_Otimes( tc_Nat_Onat, Z, X ) }.
% 0.92/1.53 { ! Z = c_Groups_Ozero__class_Ozero( tc_Nat_Onat ),
% 0.92/1.53 c_Groups_Otimes__class_Otimes( tc_Nat_Onat, Z, Y ) =
% 0.92/1.53 c_Groups_Otimes__class_Otimes( tc_Nat_Onat, Z, X ) }.
% 0.92/1.53 { ! c_Groups_Otimes__class_Otimes( tc_Nat_Onat, Z, Y ) =
% 0.92/1.53 c_Groups_Otimes__class_Otimes( tc_Nat_Onat, X, Y ), Z = X, Y =
% 0.92/1.53 c_Groups_Ozero__class_Ozero( tc_Nat_Onat ) }.
% 0.92/1.53 { ! Z = X, c_Groups_Otimes__class_Otimes( tc_Nat_Onat, Z, Y ) =
% 0.92/1.53 c_Groups_Otimes__class_Otimes( tc_Nat_Onat, X, Y ) }.
% 0.92/1.53 { ! Y = c_Groups_Ozero__class_Ozero( tc_Nat_Onat ),
% 0.92/1.53 c_Groups_Otimes__class_Otimes( tc_Nat_Onat, Z, Y ) =
% 0.92/1.53 c_Groups_Otimes__class_Otimes( tc_Nat_Onat, X, Y ) }.
% 0.92/1.53 { ! c_Orderings_Oord__class_Oless( tc_Nat_Onat, c_Groups_Oplus__class_Oplus
% 0.92/1.53 ( tc_Nat_Onat, Y, X ), Y ) }.
% 0.92/1.53 { ! c_Orderings_Oord__class_Oless( tc_Nat_Onat, c_Groups_Oplus__class_Oplus
% 0.92/1.53 ( tc_Nat_Onat, Y, X ), X ) }.
% 0.92/1.53 { ! c_Orderings_Oord__class_Oless( tc_Nat_Onat, c_Groups_Oplus__class_Oplus
% 0.92/1.53 ( tc_Nat_Onat, Z, Y ), c_Groups_Oplus__class_Oplus( tc_Nat_Onat, Z, X ) )
% 0.92/1.53 , c_Orderings_Oord__class_Oless( tc_Nat_Onat, Y, X ) }.
% 0.92/1.53 { ! c_Orderings_Oord__class_Oless( tc_Nat_Onat, Y, X ),
% 0.92/1.53 c_Orderings_Oord__class_Oless( tc_Nat_Onat, c_Groups_Oplus__class_Oplus(
% 0.92/1.53 tc_Nat_Onat, Z, Y ), c_Groups_Oplus__class_Oplus( tc_Nat_Onat, Z, X ) ) }
% 0.92/1.53 .
% 0.92/1.53 { ! c_Orderings_Oord__class_Oless( tc_Nat_Onat, Y, X ),
% 0.92/1.53 c_Orderings_Oord__class_Oless( tc_Nat_Onat, Y,
% 0.92/1.53 c_Groups_Oplus__class_Oplus( tc_Nat_Onat, X, Z ) ) }.
% 0.92/1.53 { ! c_Orderings_Oord__class_Oless( tc_Nat_Onat, Y, X ),
% 0.92/1.53 c_Orderings_Oord__class_Oless( tc_Nat_Onat, Y,
% 0.92/1.53 c_Groups_Oplus__class_Oplus( tc_Nat_Onat, Z, X ) ) }.
% 0.92/1.53 { ! c_Orderings_Oord__class_Oless( tc_Nat_Onat, Y, X ),
% 0.92/1.53 c_Orderings_Oord__class_Oless( tc_Nat_Onat, c_Groups_Oplus__class_Oplus(
% 0.92/1.53 tc_Nat_Onat, Y, Z ), c_Groups_Oplus__class_Oplus( tc_Nat_Onat, X, Z ) ) }
% 0.92/1.53 .
% 0.92/1.53 { ! c_Orderings_Oord__class_Oless( tc_Nat_Onat, Y, X ), !
% 0.92/1.53 c_Orderings_Oord__class_Oless( tc_Nat_Onat, T, Z ),
% 0.92/1.53 c_Orderings_Oord__class_Oless( tc_Nat_Onat, c_Groups_Oplus__class_Oplus(
% 0.92/1.53 tc_Nat_Onat, Y, T ), c_Groups_Oplus__class_Oplus( tc_Nat_Onat, X, Z ) ) }
% 0.92/1.53 .
% 0.92/1.53 { ! c_Orderings_Oord__class_Oless( tc_Nat_Onat, Y, X ), !
% 0.92/1.53 c_Groups_Oplus__class_Oplus( tc_Nat_Onat, T, X ) =
% 0.92/1.53 c_Groups_Oplus__class_Oplus( tc_Nat_Onat, Y, Z ),
% 0.92/1.53 c_Orderings_Oord__class_Oless( tc_Nat_Onat, T, Z ) }.
% 0.92/1.53 { ! c_Orderings_Oord__class_Oless( tc_Nat_Onat, c_Groups_Oplus__class_Oplus
% 0.92/1.53 ( tc_Nat_Onat, Y, Z ), X ), c_Orderings_Oord__class_Oless( tc_Nat_Onat, Y
% 0.92/1.53 , X ) }.
% 0.92/1.53 { c_Groups_Otimes__class_Otimes( tc_Int_Oint, c_Int_OPls, X ) = c_Int_OPls
% 0.92/1.53 }.
% 0.92/1.53 { ! c_Orderings_Oord__class_Oless__eq( tc_Int_Oint, Y, X ),
% 0.92/1.53 c_Orderings_Oord__class_Oless__eq( tc_Int_Oint,
% 0.92/1.53 c_Groups_Oplus__class_Oplus( tc_Int_Oint, Z, Y ),
% 0.92/1.53 c_Groups_Oplus__class_Oplus( tc_Int_Oint, Z, X ) ) }.
% 0.92/1.53 { c_Groups_Otimes__class_Otimes( tc_Int_Oint, c_Int_OBit0( Y ), X ) =
% 0.92/1.53 c_Int_OBit0( c_Groups_Otimes__class_Otimes( tc_Int_Oint, Y, X ) ) }.
% 0.92/1.53 { ! c_Orderings_Oord__class_Oless( tc_Int_Oint, Y, X ),
% 0.92/1.53 c_Orderings_Oord__class_Oless( tc_Int_Oint, c_Groups_Oplus__class_Oplus(
% 0.92/1.53 tc_Int_Oint, Y, Z ), c_Groups_Oplus__class_Oplus( tc_Int_Oint, X, Z ) ) }
% 0.92/1.53 .
% 0.92/1.53 { ! c_Orderings_Oord__class_Oless__eq( tc_Nat_Onat,
% 0.92/1.53 c_Groups_Oplus__class_Oplus( tc_Nat_Onat, Z, Y ), X ),
% 0.92/1.53 c_Orderings_Oord__class_Oless__eq( tc_Nat_Onat, Z, X ) }.
% 0.92/1.53 { ! c_Orderings_Oord__class_Oless__eq( tc_Nat_Onat,
% 0.92/1.53 c_Groups_Oplus__class_Oplus( tc_Nat_Onat, Z, Y ), X ),
% 0.92/1.53 c_Orderings_Oord__class_Oless__eq( tc_Nat_Onat, Y, X ) }.
% 0.92/1.53 { ! c_Orderings_Oord__class_Oless__eq( tc_Nat_Onat,
% 0.92/1.53 c_Groups_Oplus__class_Oplus( tc_Nat_Onat, Y, Z ), X ),
% 0.92/1.53 c_Orderings_Oord__class_Oless__eq( tc_Nat_Onat, Y, X ) }.
% 0.92/1.53 { ! c_Orderings_Oord__class_Oless__eq( tc_Nat_Onat,
% 0.92/1.53 c_Groups_Oplus__class_Oplus( tc_Nat_Onat, Z, Y ), X ),
% 0.92/1.53 c_Orderings_Oord__class_Oless__eq( tc_Nat_Onat, Y, X ) }.
% 0.92/1.53 { ! c_Orderings_Oord__class_Oless__eq( tc_Nat_Onat, Y, X ), !
% 0.92/1.53 c_Orderings_Oord__class_Oless__eq( tc_Nat_Onat, T, Z ),
% 0.92/1.53 c_Orderings_Oord__class_Oless__eq( tc_Nat_Onat,
% 0.92/1.53 c_Groups_Oplus__class_Oplus( tc_Nat_Onat, Y, T ),
% 0.92/1.53 c_Groups_Oplus__class_Oplus( tc_Nat_Onat, X, Z ) ) }.
% 0.92/1.53 { ! c_Orderings_Oord__class_Oless__eq( tc_Nat_Onat, Y, X ),
% 0.92/1.53 c_Orderings_Oord__class_Oless__eq( tc_Nat_Onat,
% 0.92/1.53 c_Groups_Oplus__class_Oplus( tc_Nat_Onat, Y, Z ),
% 0.92/1.53 c_Groups_Oplus__class_Oplus( tc_Nat_Onat, X, Z ) ) }.
% 0.92/1.53 { ! c_Orderings_Oord__class_Oless__eq( tc_Nat_Onat, Y, X ),
% 0.92/1.53 c_Orderings_Oord__class_Oless__eq( tc_Nat_Onat, Y,
% 0.92/1.53 c_Groups_Oplus__class_Oplus( tc_Nat_Onat, Z, X ) ) }.
% 0.92/1.53 { ! c_Orderings_Oord__class_Oless__eq( tc_Nat_Onat, Y, X ),
% 0.92/1.53 c_Orderings_Oord__class_Oless__eq( tc_Nat_Onat, Y,
% 0.92/1.53 c_Groups_Oplus__class_Oplus( tc_Nat_Onat, X, Z ) ) }.
% 0.92/1.53 { ! c_Orderings_Oord__class_Oless__eq( tc_Nat_Onat,
% 0.92/1.53 c_Groups_Oplus__class_Oplus( tc_Nat_Onat, Z, Y ),
% 0.92/1.53 c_Groups_Oplus__class_Oplus( tc_Nat_Onat, Z, X ) ),
% 0.92/1.53 c_Orderings_Oord__class_Oless__eq( tc_Nat_Onat, Y, X ) }.
% 0.92/1.53 { ! c_Orderings_Oord__class_Oless__eq( tc_Nat_Onat, Y, X ),
% 0.92/1.53 c_Orderings_Oord__class_Oless__eq( tc_Nat_Onat,
% 0.92/1.53 c_Groups_Oplus__class_Oplus( tc_Nat_Onat, Z, Y ),
% 0.92/1.53 c_Groups_Oplus__class_Oplus( tc_Nat_Onat, Z, X ) ) }.
% 0.92/1.53 { ! c_Orderings_Oord__class_Oless__eq( tc_Nat_Onat, Y, X ), X =
% 0.92/1.53 c_Groups_Oplus__class_Oplus( tc_Nat_Onat, Y, skol9( X, Y ) ) }.
% 0.92/1.53 { ! X = c_Groups_Oplus__class_Oplus( tc_Nat_Onat, Y, Z ),
% 0.92/1.53 c_Orderings_Oord__class_Oless__eq( tc_Nat_Onat, Y, X ) }.
% 0.92/1.53 { c_Orderings_Oord__class_Oless__eq( tc_Nat_Onat, Y,
% 0.92/1.53 c_Groups_Oplus__class_Oplus( tc_Nat_Onat, Y, X ) ) }.
% 0.92/1.53 { c_Orderings_Oord__class_Oless__eq( tc_Nat_Onat, Y,
% 0.92/1.53 c_Groups_Oplus__class_Oplus( tc_Nat_Onat, X, Y ) ) }.
% 0.92/1.53 { ! c_Orderings_Oord__class_Oless__eq( tc_Nat_Onat, Y, X ), X =
% 0.92/1.53 c_Groups_Oplus__class_Oplus( tc_Nat_Onat, Y, skol10( X, Y ) ) }.
% 0.92/1.53 { ! X = c_Groups_Oplus__class_Oplus( tc_Nat_Onat, Y, Z ),
% 0.92/1.53 c_Orderings_Oord__class_Oless__eq( tc_Nat_Onat, Y, X ) }.
% 0.92/1.53 { ! c_Orderings_Oord__class_Oless__eq( tc_Nat_Onat, Y, X ), !
% 0.92/1.53 c_Orderings_Oord__class_Oless__eq( tc_Nat_Onat, T, Z ),
% 0.92/1.53 c_Orderings_Oord__class_Oless__eq( tc_Nat_Onat,
% 0.92/1.53 c_Groups_Otimes__class_Otimes( tc_Nat_Onat, Y, T ),
% 0.92/1.53 c_Groups_Otimes__class_Otimes( tc_Nat_Onat, X, Z ) ) }.
% 0.92/1.53 { ! c_Orderings_Oord__class_Oless__eq( tc_Nat_Onat, Y, X ),
% 0.92/1.53 c_Orderings_Oord__class_Oless__eq( tc_Nat_Onat,
% 0.92/1.53 c_Groups_Otimes__class_Otimes( tc_Nat_Onat, Z, Y ),
% 0.92/1.53 c_Groups_Otimes__class_Otimes( tc_Nat_Onat, Z, X ) ) }.
% 0.92/1.53 { ! c_Orderings_Oord__class_Oless__eq( tc_Nat_Onat, Y, X ),
% 0.92/1.53 c_Orderings_Oord__class_Oless__eq( tc_Nat_Onat,
% 0.92/1.53 c_Groups_Otimes__class_Otimes( tc_Nat_Onat, Y, Z ),
% 0.92/1.53 c_Groups_Otimes__class_Otimes( tc_Nat_Onat, X, Z ) ) }.
% 0.92/1.53 { c_Orderings_Oord__class_Oless__eq( tc_Nat_Onat, X,
% 0.92/1.53 c_Groups_Otimes__class_Otimes( tc_Nat_Onat, X,
% 0.92/1.53 c_Groups_Otimes__class_Otimes( tc_Nat_Onat, X, X ) ) ) }.
% 0.92/1.53 { c_Orderings_Oord__class_Oless__eq( tc_Nat_Onat, X,
% 0.92/1.53 c_Groups_Otimes__class_Otimes( tc_Nat_Onat, X, X ) ) }.
% 0.92/1.53 { c_Groups_Oplus__class_Oplus( tc_Int_Oint,
% 0.92/1.53 c_Int_Onumber__class_Onumber__of( tc_Int_Oint, Y ),
% 0.92/1.53 c_Int_Onumber__class_Onumber__of( tc_Int_Oint, X ) ) =
% 0.92/1.53 c_Int_Onumber__class_Onumber__of( tc_Int_Oint,
% 0.92/1.53 c_Groups_Oplus__class_Oplus( tc_Int_Oint, Y, X ) ) }.
% 0.92/1.53 { c_Groups_Otimes__class_Otimes( tc_Int_Oint, X, c_Groups_Oone__class_Oone
% 0.92/1.53 ( tc_Int_Oint ) ) = X }.
% 0.92/1.53 { c_Groups_Otimes__class_Otimes( tc_Int_Oint, c_Groups_Oone__class_Oone(
% 0.92/1.53 tc_Int_Oint ), X ) = X }.
% 0.92/1.53 { c_Groups_Otimes__class_Otimes( tc_Int_Oint,
% 0.92/1.53 c_Int_Onumber__class_Onumber__of( tc_Int_Oint, Y ),
% 0.92/1.53 c_Int_Onumber__class_Onumber__of( tc_Int_Oint, X ) ) =
% 0.92/1.53 c_Int_Onumber__class_Onumber__of( tc_Int_Oint,
% 0.92/1.53 c_Groups_Otimes__class_Otimes( tc_Int_Oint, Y, X ) ) }.
% 0.92/1.53 { c_Groups_Otimes__class_Otimes( tc_Nat_Onat, c_Groups_Oone__class_Oone(
% 0.92/1.53 tc_Nat_Onat ), X ) = X }.
% 0.92/1.53 { ! c_Groups_Oone__class_Oone( tc_Nat_Onat ) =
% 0.92/1.53 c_Groups_Otimes__class_Otimes( tc_Nat_Onat, Y, X ), Y =
% 0.92/1.53 c_Groups_Oone__class_Oone( tc_Nat_Onat ) }.
% 0.92/1.53 { ! c_Groups_Oone__class_Oone( tc_Nat_Onat ) =
% 0.92/1.53 c_Groups_Otimes__class_Otimes( tc_Nat_Onat, Y, X ), X =
% 0.92/1.53 c_Groups_Oone__class_Oone( tc_Nat_Onat ) }.
% 0.92/1.53 { ! Y = c_Groups_Oone__class_Oone( tc_Nat_Onat ), ! X =
% 0.92/1.53 c_Groups_Oone__class_Oone( tc_Nat_Onat ), c_Groups_Oone__class_Oone(
% 0.92/1.53 tc_Nat_Onat ) = c_Groups_Otimes__class_Otimes( tc_Nat_Onat, Y, X ) }.
% 0.92/1.53 { c_Groups_Otimes__class_Otimes( tc_Nat_Onat, X, c_Groups_Oone__class_Oone
% 0.92/1.53 ( tc_Nat_Onat ) ) = X }.
% 0.92/1.53 { ! c_Groups_Otimes__class_Otimes( tc_Nat_Onat, Y, X ) =
% 0.92/1.53 c_Groups_Oone__class_Oone( tc_Nat_Onat ), Y = c_Groups_Oone__class_Oone(
% 0.92/1.53 tc_Nat_Onat ) }.
% 0.92/1.53 { ! c_Groups_Otimes__class_Otimes( tc_Nat_Onat, Y, X ) =
% 0.92/1.53 c_Groups_Oone__class_Oone( tc_Nat_Onat ), X = c_Groups_Oone__class_Oone(
% 0.92/1.53 tc_Nat_Onat ) }.
% 0.92/1.53 { ! Y = c_Groups_Oone__class_Oone( tc_Nat_Onat ), ! X =
% 0.92/1.53 c_Groups_Oone__class_Oone( tc_Nat_Onat ), c_Groups_Otimes__class_Otimes(
% 0.92/1.53 tc_Nat_Onat, Y, X ) = c_Groups_Oone__class_Oone( tc_Nat_Onat ) }.
% 0.92/1.53 { c_Groups_Ouminus__class_Ouminus( tc_Int_Oint, c_Groups_Oplus__class_Oplus
% 0.92/1.53 ( tc_Int_Oint, Y, X ) ) = c_Groups_Oplus__class_Oplus( tc_Int_Oint,
% 0.92/1.53 c_Groups_Ouminus__class_Ouminus( tc_Int_Oint, Y ),
% 0.92/1.53 c_Groups_Ouminus__class_Ouminus( tc_Int_Oint, X ) ) }.
% 0.92/1.53 { c_Groups_Otimes__class_Otimes( tc_Int_Oint,
% 0.92/1.53 c_Groups_Ouminus__class_Ouminus( tc_Int_Oint, Y ), X ) =
% 0.92/1.53 c_Groups_Ouminus__class_Ouminus( tc_Int_Oint,
% 0.92/1.53 c_Groups_Otimes__class_Otimes( tc_Int_Oint, Y, X ) ) }.
% 0.92/1.53 { ! c_Orderings_Oord__class_Oless( tc_Int_Oint, Y, c_Int_OPls ),
% 0.92/1.53 c_Groups_Oplus__class_Oplus( tc_Nat_Onat,
% 0.92/1.53 c_Int_Onumber__class_Onumber__of( tc_Nat_Onat, Y ),
% 0.92/1.53 c_Int_Onumber__class_Onumber__of( tc_Nat_Onat, X ) ) =
% 0.92/1.53 c_Int_Onumber__class_Onumber__of( tc_Nat_Onat, X ) }.
% 0.92/1.53 { c_Orderings_Oord__class_Oless( tc_Int_Oint, Y, c_Int_OPls ), !
% 0.92/1.53 c_Orderings_Oord__class_Oless( tc_Int_Oint, X, c_Int_OPls ),
% 0.92/1.53 c_Groups_Oplus__class_Oplus( tc_Nat_Onat,
% 0.92/1.53 c_Int_Onumber__class_Onumber__of( tc_Nat_Onat, Y ),
% 0.92/1.53 c_Int_Onumber__class_Onumber__of( tc_Nat_Onat, X ) ) =
% 0.92/1.53 c_Int_Onumber__class_Onumber__of( tc_Nat_Onat, Y ) }.
% 0.92/1.53 { c_Orderings_Oord__class_Oless( tc_Int_Oint, Y, c_Int_OPls ),
% 0.92/1.53 c_Orderings_Oord__class_Oless( tc_Int_Oint, X, c_Int_OPls ),
% 0.92/1.53 c_Groups_Oplus__class_Oplus( tc_Nat_Onat,
% 0.92/1.53 c_Int_Onumber__class_Onumber__of( tc_Nat_Onat, Y ),
% 0.92/1.53 c_Int_Onumber__class_Onumber__of( tc_Nat_Onat, X ) ) =
% 0.92/1.53 c_Int_Onumber__class_Onumber__of( tc_Nat_Onat,
% 0.92/1.53 c_Groups_Oplus__class_Oplus( tc_Int_Oint, Y, X ) ) }.
% 0.92/1.53 { c_Groups_Otimes__class_Otimes( tc_Nat_Onat,
% 0.92/1.53 c_Int_Onumber__class_Onumber__of( tc_Nat_Onat, c_Int_OBit0( c_Int_OBit1(
% 0.92/1.53 c_Int_OPls ) ) ), X ) = c_Groups_Oplus__class_Oplus( tc_Nat_Onat, X, X )
% 0.92/1.53 }.
% 0.92/1.53 { c_Groups_Otimes__class_Otimes( tc_Nat_Onat, X,
% 0.92/1.53 c_Int_Onumber__class_Onumber__of( tc_Nat_Onat, c_Int_OBit0( c_Int_OBit1(
% 0.92/1.53 c_Int_OPls ) ) ) ) = c_Groups_Oplus__class_Oplus( tc_Nat_Onat, X, X ) }.
% 0.92/1.53 { ! c_Orderings_Oord__class_Oless( tc_Int_Oint, Y, c_Int_OPls ),
% 0.92/1.53 c_Groups_Otimes__class_Otimes( tc_Nat_Onat,
% 0.92/1.53 c_Int_Onumber__class_Onumber__of( tc_Nat_Onat, Y ),
% 0.92/1.53 c_Int_Onumber__class_Onumber__of( tc_Nat_Onat, X ) ) =
% 0.92/1.53 c_Groups_Ozero__class_Ozero( tc_Nat_Onat ) }.
% 0.92/1.53 { c_Orderings_Oord__class_Oless( tc_Int_Oint, Y, c_Int_OPls ),
% 0.92/1.53 c_Groups_Otimes__class_Otimes( tc_Nat_Onat,
% 0.92/1.53 c_Int_Onumber__class_Onumber__of( tc_Nat_Onat, Y ),
% 0.92/1.53 c_Int_Onumber__class_Onumber__of( tc_Nat_Onat, X ) ) =
% 0.92/1.53 c_Int_Onumber__class_Onumber__of( tc_Nat_Onat,
% 0.92/1.53 c_Groups_Otimes__class_Otimes( tc_Int_Oint, Y, X ) ) }.
% 0.92/1.53 { ! c_Orderings_Oord__class_Oless( tc_Int_Oint, Z, c_Int_OPls ),
% 0.92/1.53 c_Groups_Otimes__class_Otimes( tc_Nat_Onat,
% 0.92/1.53 c_Int_Onumber__class_Onumber__of( tc_Nat_Onat, Z ),
% 0.92/1.53 c_Groups_Otimes__class_Otimes( tc_Nat_Onat,
% 0.92/1.53 c_Int_Onumber__class_Onumber__of( tc_Nat_Onat, Y ), X ) ) =
% 0.92/1.53 c_Groups_Ozero__class_Ozero( tc_Nat_Onat ) }.
% 0.92/1.53 { c_Orderings_Oord__class_Oless( tc_Int_Oint, Z, c_Int_OPls ),
% 0.92/1.53 c_Groups_Otimes__class_Otimes( tc_Nat_Onat,
% 0.92/1.53 c_Int_Onumber__class_Onumber__of( tc_Nat_Onat, Z ),
% 0.92/1.53 c_Groups_Otimes__class_Otimes( tc_Nat_Onat,
% 0.92/1.53 c_Int_Onumber__class_Onumber__of( tc_Nat_Onat, Y ), X ) ) =
% 0.92/1.53 c_Groups_Otimes__class_Otimes( tc_Nat_Onat,
% 0.92/1.53 c_Int_Onumber__class_Onumber__of( tc_Nat_Onat,
% 0.92/1.53 c_Groups_Otimes__class_Otimes( tc_Int_Oint, Z, Y ) ), X ) }.
% 0.92/1.53 { c_Groups_Oplus__class_Oplus( tc_Int_Oint, c_Int_OBit1( Y ), c_Int_OBit0(
% 0.92/1.53 X ) ) = c_Int_OBit1( c_Groups_Oplus__class_Oplus( tc_Int_Oint, Y, X ) ) }
% 0.92/1.53 .
% 0.92/1.53 { c_Groups_Oplus__class_Oplus( tc_Int_Oint, c_Int_OBit0( Y ), c_Int_OBit1(
% 0.92/1.53 X ) ) = c_Int_OBit1( c_Groups_Oplus__class_Oplus( tc_Int_Oint, Y, X ) ) }
% 0.92/1.53 .
% 0.92/1.53 { ! c_Orderings_Oord__class_Oless( tc_Nat_Onat, c_Groups_Ozero__class_Ozero
% 0.92/1.53 ( tc_Nat_Onat ), c_Groups_Oplus__class_Oplus( tc_Nat_Onat, Y, X ) ),
% 0.92/1.53 c_Orderings_Oord__class_Oless( tc_Nat_Onat, c_Groups_Ozero__class_Ozero(
% 0.92/1.53 tc_Nat_Onat ), Y ), c_Orderings_Oord__class_Oless( tc_Nat_Onat,
% 0.92/1.53 c_Groups_Ozero__class_Ozero( tc_Nat_Onat ), X ) }.
% 0.92/1.53 { ! c_Orderings_Oord__class_Oless( tc_Nat_Onat, c_Groups_Ozero__class_Ozero
% 0.92/1.53 ( tc_Nat_Onat ), Y ), c_Orderings_Oord__class_Oless( tc_Nat_Onat,
% 0.92/1.53 c_Groups_Ozero__class_Ozero( tc_Nat_Onat ), c_Groups_Oplus__class_Oplus(
% 0.92/1.53 tc_Nat_Onat, Y, X ) ) }.
% 0.92/1.53 { ! c_Orderings_Oord__class_Oless( tc_Nat_Onat, c_Groups_Ozero__class_Ozero
% 0.92/1.53 ( tc_Nat_Onat ), X ), c_Orderings_Oord__class_Oless( tc_Nat_Onat,
% 0.92/1.53 c_Groups_Ozero__class_Ozero( tc_Nat_Onat ), c_Groups_Oplus__class_Oplus(
% 0.92/1.53 tc_Nat_Onat, Y, X ) ) }.
% 0.92/1.53 { ! c_Orderings_Oord__class_Oless__eq( tc_Int_Oint,
% 0.92/1.53 c_Groups_Ozero__class_Ozero( tc_Int_Oint ), X ), !
% 0.92/1.53 c_Orderings_Oord__class_Oless__eq( tc_Int_Oint,
% 0.92/1.53 c_Groups_Ozero__class_Ozero( tc_Int_Oint ), Y ),
% 0.92/1.53 c_Orderings_Oord__class_Oless__eq( tc_Int_Oint,
% 0.92/1.53 c_Groups_Ozero__class_Ozero( tc_Int_Oint ), c_Groups_Oplus__class_Oplus(
% 0.92/1.53 tc_Int_Oint, X, Y ) ) }.
% 0.92/1.53 { ! c_Orderings_Oord__class_Oless( tc_Nat_Onat, Y, X ), !
% 0.92/1.53 c_Orderings_Oord__class_Oless( tc_Nat_Onat, c_Groups_Ozero__class_Ozero(
% 0.92/1.53 tc_Nat_Onat ), Z ), c_Orderings_Oord__class_Oless( tc_Nat_Onat,
% 0.92/1.53 c_Groups_Otimes__class_Otimes( tc_Nat_Onat, Z, Y ),
% 0.92/1.53 c_Groups_Otimes__class_Otimes( tc_Nat_Onat, Z, X ) ) }.
% 0.92/1.53 { ! c_Orderings_Oord__class_Oless( tc_Nat_Onat, Y, X ), !
% 0.92/1.53 c_Orderings_Oord__class_Oless( tc_Nat_Onat, c_Groups_Ozero__class_Ozero(
% 0.92/1.53 tc_Nat_Onat ), Z ), c_Orderings_Oord__class_Oless( tc_Nat_Onat,
% 0.92/1.53 c_Groups_Otimes__class_Otimes( tc_Nat_Onat, Y, Z ),
% 0.92/1.53 c_Groups_Otimes__class_Otimes( tc_Nat_Onat, X, Z ) ) }.
% 0.92/1.53 { ! c_Orderings_Oord__class_Oless( tc_Nat_Onat,
% 0.92/1.53 c_Groups_Otimes__class_Otimes( tc_Nat_Onat, Z, Y ),
% 0.92/1.53 c_Groups_Otimes__class_Otimes( tc_Nat_Onat, X, Y ) ),
% 0.92/1.53 c_Orderings_Oord__class_Oless( tc_Nat_Onat, c_Groups_Ozero__class_Ozero(
% 0.92/1.53 tc_Nat_Onat ), Y ) }.
% 0.92/1.53 { ! c_Orderings_Oord__class_Oless( tc_Nat_Onat,
% 0.92/1.53 c_Groups_Otimes__class_Otimes( tc_Nat_Onat, Z, Y ),
% 0.92/1.53 c_Groups_Otimes__class_Otimes( tc_Nat_Onat, X, Y ) ),
% 0.92/1.53 c_Orderings_Oord__class_Oless( tc_Nat_Onat, Z, X ) }.
% 0.92/1.53 { ! c_Orderings_Oord__class_Oless( tc_Nat_Onat, c_Groups_Ozero__class_Ozero
% 0.92/1.53 ( tc_Nat_Onat ), Y ), ! c_Orderings_Oord__class_Oless( tc_Nat_Onat, Z, X
% 0.92/1.53 ), c_Orderings_Oord__class_Oless( tc_Nat_Onat,
% 0.92/1.53 c_Groups_Otimes__class_Otimes( tc_Nat_Onat, Z, Y ),
% 0.92/1.53 c_Groups_Otimes__class_Otimes( tc_Nat_Onat, X, Y ) ) }.
% 0.92/1.53 { ! c_Orderings_Oord__class_Oless( tc_Nat_Onat,
% 0.92/1.53 c_Groups_Otimes__class_Otimes( tc_Nat_Onat, Z, Y ),
% 0.92/1.53 c_Groups_Otimes__class_Otimes( tc_Nat_Onat, Z, X ) ),
% 0.92/1.53 c_Orderings_Oord__class_Oless( tc_Nat_Onat, c_Groups_Ozero__class_Ozero(
% 0.92/1.53 tc_Nat_Onat ), Z ) }.
% 0.92/1.53 { ! c_Orderings_Oord__class_Oless( tc_Nat_Onat,
% 0.92/1.53 c_Groups_Otimes__class_Otimes( tc_Nat_Onat, Z, Y ),
% 0.92/1.53 c_Groups_Otimes__class_Otimes( tc_Nat_Onat, Z, X ) ),
% 0.92/1.53 c_Orderings_Oord__class_Oless( tc_Nat_Onat, Y, X ) }.
% 0.92/1.53 { ! c_Orderings_Oord__class_Oless( tc_Nat_Onat, c_Groups_Ozero__class_Ozero
% 0.92/1.53 ( tc_Nat_Onat ), Z ), ! c_Orderings_Oord__class_Oless( tc_Nat_Onat, Y, X
% 0.92/1.53 ), c_Orderings_Oord__class_Oless( tc_Nat_Onat,
% 0.92/1.53 c_Groups_Otimes__class_Otimes( tc_Nat_Onat, Z, Y ),
% 0.92/1.53 c_Groups_Otimes__class_Otimes( tc_Nat_Onat, Z, X ) ) }.
% 0.92/1.53 { ! c_Orderings_Oord__class_Oless( tc_Nat_Onat, c_Groups_Ozero__class_Ozero
% 0.92/1.53 ( tc_Nat_Onat ), c_Groups_Otimes__class_Otimes( tc_Nat_Onat, Y, X ) ),
% 0.92/1.53 c_Orderings_Oord__class_Oless( tc_Nat_Onat, c_Groups_Ozero__class_Ozero(
% 0.92/1.53 tc_Nat_Onat ), Y ) }.
% 0.92/1.53 { ! c_Orderings_Oord__class_Oless( tc_Nat_Onat, c_Groups_Ozero__class_Ozero
% 0.92/1.53 ( tc_Nat_Onat ), c_Groups_Otimes__class_Otimes( tc_Nat_Onat, Y, X ) ),
% 0.92/1.53 c_Orderings_Oord__class_Oless( tc_Nat_Onat, c_Groups_Ozero__class_Ozero(
% 0.92/1.53 tc_Nat_Onat ), X ) }.
% 0.92/1.53 { ! c_Orderings_Oord__class_Oless( tc_Nat_Onat, c_Groups_Ozero__class_Ozero
% 0.92/1.53 ( tc_Nat_Onat ), Y ), ! c_Orderings_Oord__class_Oless( tc_Nat_Onat,
% 0.92/1.53 c_Groups_Ozero__class_Ozero( tc_Nat_Onat ), X ),
% 0.92/1.53 c_Orderings_Oord__class_Oless( tc_Nat_Onat, c_Groups_Ozero__class_Ozero(
% 0.92/1.53 tc_Nat_Onat ), c_Groups_Otimes__class_Otimes( tc_Nat_Onat, Y, X ) ) }.
% 0.92/1.53 { c_Int_OBit1( X ) = c_Groups_Oplus__class_Oplus( tc_Int_Oint,
% 0.92/1.53 c_Groups_Oplus__class_Oplus( tc_Int_Oint, c_Groups_Oone__class_Oone(
% 0.92/1.53 tc_Int_Oint ), X ), X ) }.
% 0.92/1.53 { ! c_Groups_Oplus__class_Oplus( tc_Int_Oint, c_Groups_Oplus__class_Oplus(
% 0.92/1.53 tc_Int_Oint, c_Groups_Oone__class_Oone( tc_Int_Oint ), X ), X ) =
% 0.92/1.53 c_Groups_Ozero__class_Ozero( tc_Int_Oint ) }.
% 0.92/1.53 { ! c_Orderings_Oord__class_Oless( tc_Int_Oint, Y, X ), !
% 0.92/1.53 c_Orderings_Oord__class_Oless__eq( tc_Int_Oint, T, Z ),
% 0.92/1.53 c_Orderings_Oord__class_Oless( tc_Int_Oint, c_Groups_Oplus__class_Oplus(
% 0.92/1.53 tc_Int_Oint, Y, T ), c_Groups_Oplus__class_Oplus( tc_Int_Oint, X, Z ) ) }
% 0.92/1.53 .
% 0.92/1.53 { ! c_Orderings_Oord__class_Oless__eq( tc_Int_Oint,
% 0.92/1.53 c_Groups_Ozero__class_Ozero( tc_Int_Oint ), X ), !
% 0.92/1.53 c_Orderings_Oord__class_Oless__eq( tc_Int_Oint,
% 0.92/1.53 c_Groups_Ozero__class_Ozero( tc_Int_Oint ), Y ),
% 0.92/1.53 c_Orderings_Oord__class_Oless__eq( tc_Int_Oint,
% 0.92/1.53 c_Groups_Ozero__class_Ozero( tc_Int_Oint ), c_Groups_Otimes__class_Otimes
% 0.92/1.53 ( tc_Int_Oint, X, Y ) ) }.
% 0.92/1.53 { ! c_Orderings_Oord__class_Oless( tc_Int_Oint, Y, X ), !
% 0.92/1.53 c_Orderings_Oord__class_Oless( tc_Int_Oint, c_Groups_Ozero__class_Ozero(
% 0.92/1.53 tc_Int_Oint ), Z ), c_Orderings_Oord__class_Oless( tc_Int_Oint,
% 0.92/1.53 c_Groups_Otimes__class_Otimes( tc_Int_Oint, Z, Y ),
% 0.92/1.53 c_Groups_Otimes__class_Otimes( tc_Int_Oint, Z, X ) ) }.
% 0.92/1.53 { ! c_Orderings_Oord__class_Oless( tc_Int_Oint, Y,
% 0.92/1.53 c_Groups_Oplus__class_Oplus( tc_Int_Oint, X, c_Groups_Oone__class_Oone(
% 0.92/1.53 tc_Int_Oint ) ) ), c_Orderings_Oord__class_Oless( tc_Int_Oint, Y, X ), Y
% 0.92/1.53 = X }.
% 0.92/1.53 { ! c_Orderings_Oord__class_Oless( tc_Int_Oint, Y, X ),
% 0.92/1.53 c_Orderings_Oord__class_Oless( tc_Int_Oint, Y,
% 0.92/1.53 c_Groups_Oplus__class_Oplus( tc_Int_Oint, X, c_Groups_Oone__class_Oone(
% 0.92/1.53 tc_Int_Oint ) ) ) }.
% 0.92/1.53 { ! Y = X, c_Orderings_Oord__class_Oless( tc_Int_Oint, Y,
% 0.92/1.53 c_Groups_Oplus__class_Oplus( tc_Int_Oint, X, c_Groups_Oone__class_Oone(
% 0.92/1.53 tc_Int_Oint ) ) ) }.
% 0.92/1.53 { ! Y = c_Groups_Otimes__class_Otimes( tc_Nat_Onat, Y, X ), X =
% 0.92/1.53 c_Groups_Oone__class_Oone( tc_Nat_Onat ), Y = c_Groups_Ozero__class_Ozero
% 0.92/1.53 ( tc_Nat_Onat ) }.
% 0.92/1.53 { c_Groups_Oplus__class_Oplus( tc_Int_Oint, c_Groups_Ouminus__class_Ouminus
% 0.92/1.53 ( tc_Int_Oint, X ), X ) = c_Groups_Ozero__class_Ozero( tc_Int_Oint ) }.
% 0.92/1.53 { c_Groups_Otimes__class_Otimes( tc_Int_Oint, c_Int_OMin, X ) =
% 0.92/1.53 c_Groups_Ouminus__class_Ouminus( tc_Int_Oint, X ) }.
% 0.92/1.53 { ! c_Orderings_Oord__class_Oless( tc_Int_Oint, c_Groups_Oplus__class_Oplus
% 0.92/1.53 ( tc_Int_Oint, c_Groups_Oplus__class_Oplus( tc_Int_Oint,
% 0.92/1.53 c_Groups_Oone__class_Oone( tc_Int_Oint ), X ), X ),
% 0.92/1.53 c_Groups_Ozero__class_Ozero( tc_Int_Oint ) ),
% 0.92/1.53 c_Orderings_Oord__class_Oless( tc_Int_Oint, X,
% 0.92/1.53 c_Groups_Ozero__class_Ozero( tc_Int_Oint ) ) }.
% 0.92/1.53 { ! c_Orderings_Oord__class_Oless( tc_Int_Oint, X,
% 0.92/1.53 c_Groups_Ozero__class_Ozero( tc_Int_Oint ) ),
% 0.92/1.53 c_Orderings_Oord__class_Oless( tc_Int_Oint, c_Groups_Oplus__class_Oplus(
% 0.92/1.53 tc_Int_Oint, c_Groups_Oplus__class_Oplus( tc_Int_Oint,
% 0.92/1.53 c_Groups_Oone__class_Oone( tc_Int_Oint ), X ), X ),
% 0.92/1.53 c_Groups_Ozero__class_Ozero( tc_Int_Oint ) ) }.
% 0.92/1.53 { ! c_Orderings_Oord__class_Oless__eq( tc_Nat_Onat,
% 0.92/1.53 c_Groups_Otimes__class_Otimes( tc_Nat_Onat, Z, Y ),
% 0.92/1.53 c_Groups_Otimes__class_Otimes( tc_Nat_Onat, X, Y ) ), !
% 0.92/1.53 c_Orderings_Oord__class_Oless( tc_Nat_Onat, c_Groups_Ozero__class_Ozero(
% 0.92/1.53 tc_Nat_Onat ), Y ), c_Orderings_Oord__class_Oless__eq( tc_Nat_Onat, Z, X
% 0.92/1.53 ) }.
% 0.92/1.53 { c_Orderings_Oord__class_Oless( tc_Nat_Onat, c_Groups_Ozero__class_Ozero(
% 0.92/1.53 tc_Nat_Onat ), Y ), c_Orderings_Oord__class_Oless__eq( tc_Nat_Onat,
% 0.92/1.53 c_Groups_Otimes__class_Otimes( tc_Nat_Onat, Z, Y ),
% 0.92/1.53 c_Groups_Otimes__class_Otimes( tc_Nat_Onat, X, Y ) ) }.
% 0.92/1.53 { ! c_Orderings_Oord__class_Oless__eq( tc_Nat_Onat, Z, X ),
% 0.92/1.53 c_Orderings_Oord__class_Oless__eq( tc_Nat_Onat,
% 0.92/1.53 c_Groups_Otimes__class_Otimes( tc_Nat_Onat, Z, Y ),
% 0.92/1.53 c_Groups_Otimes__class_Otimes( tc_Nat_Onat, X, Y ) ) }.
% 0.92/1.53 { ! c_Orderings_Oord__class_Oless__eq( tc_Nat_Onat,
% 0.92/1.53 c_Groups_Otimes__class_Otimes( tc_Nat_Onat, Z, Y ),
% 0.92/1.53 c_Groups_Otimes__class_Otimes( tc_Nat_Onat, Z, X ) ), !
% 0.92/1.53 c_Orderings_Oord__class_Oless( tc_Nat_Onat, c_Groups_Ozero__class_Ozero(
% 0.92/1.53 tc_Nat_Onat ), Z ), c_Orderings_Oord__class_Oless__eq( tc_Nat_Onat, Y, X
% 0.92/1.53 ) }.
% 0.92/1.53 { c_Orderings_Oord__class_Oless( tc_Nat_Onat, c_Groups_Ozero__class_Ozero(
% 0.92/1.53 tc_Nat_Onat ), Z ), c_Orderings_Oord__class_Oless__eq( tc_Nat_Onat,
% 0.92/1.53 c_Groups_Otimes__class_Otimes( tc_Nat_Onat, Z, Y ),
% 0.92/1.53 c_Groups_Otimes__class_Otimes( tc_Nat_Onat, Z, X ) ) }.
% 0.92/1.53 { ! c_Orderings_Oord__class_Oless__eq( tc_Nat_Onat, Y, X ),
% 0.92/1.53 c_Orderings_Oord__class_Oless__eq( tc_Nat_Onat,
% 0.92/1.53 c_Groups_Otimes__class_Otimes( tc_Nat_Onat, Z, Y ),
% 0.92/1.53 c_Groups_Otimes__class_Otimes( tc_Nat_Onat, Z, X ) ) }.
% 0.92/1.53 { ! c_Orderings_Oord__class_Oless( tc_Int_Oint, Y, X ),
% 0.92/1.53 c_Orderings_Oord__class_Oless__eq( tc_Int_Oint,
% 0.92/1.53 c_Groups_Oplus__class_Oplus( tc_Int_Oint, Y, c_Groups_Oone__class_Oone(
% 0.92/1.53 tc_Int_Oint ) ), X ) }.
% 0.92/1.53 { ! c_Orderings_Oord__class_Oless__eq( tc_Int_Oint,
% 0.92/1.53 c_Groups_Oplus__class_Oplus( tc_Int_Oint, Y, c_Groups_Oone__class_Oone(
% 0.92/1.53 tc_Int_Oint ) ), X ), c_Orderings_Oord__class_Oless( tc_Int_Oint, Y, X )
% 0.92/1.53 }.
% 0.92/1.53 { ! c_Orderings_Oord__class_Oless( tc_Int_Oint, Y, X ),
% 0.92/1.53 c_Orderings_Oord__class_Oless__eq( tc_Int_Oint,
% 0.92/1.53 c_Groups_Oplus__class_Oplus( tc_Int_Oint, Y, c_Groups_Oone__class_Oone(
% 0.92/1.53 tc_Int_Oint ) ), X ) }.
% 0.92/1.53 { ! c_Orderings_Oord__class_Oless( tc_Int_Oint, Y,
% 0.92/1.53 c_Groups_Oplus__class_Oplus( tc_Int_Oint, X, c_Groups_Oone__class_Oone(
% 0.92/1.53 tc_Int_Oint ) ) ), c_Orderings_Oord__class_Oless__eq( tc_Int_Oint, Y, X )
% 0.92/1.53 }.
% 0.92/1.53 { ! c_Orderings_Oord__class_Oless__eq( tc_Int_Oint, Y, X ),
% 0.92/1.53 c_Orderings_Oord__class_Oless( tc_Int_Oint, Y,
% 0.92/1.53 c_Groups_Oplus__class_Oplus( tc_Int_Oint, X, c_Groups_Oone__class_Oone(
% 0.92/1.53 tc_Int_Oint ) ) ) }.
% 0.92/1.53 { ! c_Orderings_Oord__class_Oless( tc_Int_Oint, c_Groups_Ozero__class_Ozero
% 0.92/1.53 ( tc_Int_Oint ), X ), ! c_Groups_Otimes__class_Otimes( tc_Int_Oint, X, Y
% 0.92/1.53 ) = c_Groups_Oone__class_Oone( tc_Int_Oint ), X =
% 0.92/1.53 c_Groups_Oone__class_Oone( tc_Int_Oint ) }.
% 0.92/1.53 { ! c_Orderings_Oord__class_Oless( tc_Int_Oint, c_Groups_Ozero__class_Ozero
% 0.92/1.53 ( tc_Int_Oint ), X ), ! c_Groups_Otimes__class_Otimes( tc_Int_Oint, X, Y
% 0.92/1.53 ) = c_Groups_Oone__class_Oone( tc_Int_Oint ), Y =
% 0.92/1.53 c_Groups_Oone__class_Oone( tc_Int_Oint ) }.
% 0.92/1.53 { ! c_Orderings_Oord__class_Oless( tc_Int_Oint, c_Groups_Ozero__class_Ozero
% 0.92/1.53 ( tc_Int_Oint ), X ), ! X = c_Groups_Oone__class_Oone( tc_Int_Oint ), ! Y
% 0.92/1.53 = c_Groups_Oone__class_Oone( tc_Int_Oint ),
% 0.92/1.53 c_Groups_Otimes__class_Otimes( tc_Int_Oint, X, Y ) =
% 0.92/1.53 c_Groups_Oone__class_Oone( tc_Int_Oint ) }.
% 0.92/1.53 { ! class_Rings_Ocomm__semiring__1( X ), c_Groups_Otimes__class_Otimes( X,
% 0.92/1.53 Z, Y ) = c_Groups_Otimes__class_Otimes( X, Y, Z ) }.
% 0.92/1.53 { ! class_Rings_Ocomm__semiring__1( X ), c_Groups_Otimes__class_Otimes( X,
% 0.92/1.53 T, c_Groups_Otimes__class_Otimes( X, Z, Y ) ) =
% 0.92/1.53 c_Groups_Otimes__class_Otimes( X, Z, c_Groups_Otimes__class_Otimes( X, T
% 0.92/1.53 , Y ) ) }.
% 0.92/1.53 { ! class_Rings_Ocomm__semiring__1( X ), c_Groups_Otimes__class_Otimes( X,
% 0.92/1.53 T, c_Groups_Otimes__class_Otimes( X, Z, Y ) ) =
% 0.92/1.53 c_Groups_Otimes__class_Otimes( X, c_Groups_Otimes__class_Otimes( X, T, Z
% 0.92/1.53 ), Y ) }.
% 0.92/1.53 { ! class_Rings_Ocomm__semiring__1( X ), c_Groups_Otimes__class_Otimes( X,
% 0.92/1.53 c_Groups_Otimes__class_Otimes( X, T, Z ), Y ) =
% 0.92/1.53 c_Groups_Otimes__class_Otimes( X, T, c_Groups_Otimes__class_Otimes( X, Z
% 0.92/1.53 , Y ) ) }.
% 0.92/1.53 { ! class_Rings_Ocomm__semiring__1( X ), c_Groups_Otimes__class_Otimes( X,
% 0.92/1.53 c_Groups_Otimes__class_Otimes( X, T, Z ), Y ) =
% 0.92/1.53 c_Groups_Otimes__class_Otimes( X, c_Groups_Otimes__class_Otimes( X, T, Y
% 0.92/1.53 ), Z ) }.
% 0.92/1.53 { ! class_Rings_Ocomm__semiring__1( X ), c_Groups_Otimes__class_Otimes( X,
% 0.92/1.53 c_Groups_Otimes__class_Otimes( X, U, T ), c_Groups_Otimes__class_Otimes(
% 0.92/1.53 X, Z, Y ) ) = c_Groups_Otimes__class_Otimes( X, U,
% 0.92/1.53 c_Groups_Otimes__class_Otimes( X, T, c_Groups_Otimes__class_Otimes( X, Z
% 0.92/1.53 , Y ) ) ) }.
% 0.92/1.53 { ! class_Rings_Ocomm__semiring__1( X ), c_Groups_Otimes__class_Otimes( X,
% 0.92/1.53 c_Groups_Otimes__class_Otimes( X, U, T ), c_Groups_Otimes__class_Otimes(
% 0.92/1.53 X, Z, Y ) ) = c_Groups_Otimes__class_Otimes( X, Z,
% 0.92/1.53 c_Groups_Otimes__class_Otimes( X, c_Groups_Otimes__class_Otimes( X, U, T
% 0.92/1.53 ), Y ) ) }.
% 0.92/1.53 { ! class_Rings_Ocomm__semiring__1( X ), c_Groups_Otimes__class_Otimes( X,
% 0.92/1.53 c_Groups_Otimes__class_Otimes( X, U, T ), c_Groups_Otimes__class_Otimes(
% 0.92/1.53 X, Z, Y ) ) = c_Groups_Otimes__class_Otimes( X,
% 0.92/1.53 c_Groups_Otimes__class_Otimes( X, U, Z ), c_Groups_Otimes__class_Otimes(
% 0.92/1.53 X, T, Y ) ) }.
% 0.92/1.53 { ! class_Rings_Ocomm__semiring__1( X ), c_Groups_Oplus__class_Oplus( X, Z
% 0.92/1.53 , Y ) = c_Groups_Oplus__class_Oplus( X, Y, Z ) }.
% 0.92/1.53 { ! class_Rings_Ocomm__semiring__1( X ), c_Groups_Oplus__class_Oplus( X, T
% 0.92/1.53 , c_Groups_Oplus__class_Oplus( X, Z, Y ) ) = c_Groups_Oplus__class_Oplus
% 0.92/1.53 ( X, Z, c_Groups_Oplus__class_Oplus( X, T, Y ) ) }.
% 0.92/1.53 { ! class_Rings_Ocomm__semiring__1( X ), c_Groups_Oplus__class_Oplus( X, T
% 0.92/1.53 , c_Groups_Oplus__class_Oplus( X, Z, Y ) ) = c_Groups_Oplus__class_Oplus
% 0.92/1.53 ( X, c_Groups_Oplus__class_Oplus( X, T, Z ), Y ) }.
% 0.92/1.53 { ! class_Rings_Ocomm__semiring__1( X ), c_Groups_Oplus__class_Oplus( X,
% 0.92/1.53 c_Groups_Oplus__class_Oplus( X, T, Z ), Y ) = c_Groups_Oplus__class_Oplus
% 0.92/1.53 ( X, T, c_Groups_Oplus__class_Oplus( X, Z, Y ) ) }.
% 0.92/1.53 { ! class_Rings_Ocomm__semiring__1( X ), c_Groups_Oplus__class_Oplus( X,
% 0.92/1.53 c_Groups_Oplus__class_Oplus( X, T, Z ), Y ) = c_Groups_Oplus__class_Oplus
% 0.92/1.53 ( X, c_Groups_Oplus__class_Oplus( X, T, Y ), Z ) }.
% 0.92/1.53 { ! class_Rings_Ocomm__semiring__1( X ), c_Groups_Oplus__class_Oplus( X,
% 0.92/1.53 c_Groups_Oplus__class_Oplus( X, U, T ), c_Groups_Oplus__class_Oplus( X, Z
% 0.92/1.53 , Y ) ) = c_Groups_Oplus__class_Oplus( X, c_Groups_Oplus__class_Oplus( X
% 0.92/1.53 , U, Z ), c_Groups_Oplus__class_Oplus( X, T, Y ) ) }.
% 0.92/1.53 { ! c_Groups_Otimes__class_Otimes( tc_Int_Oint, X, Y ) =
% 0.92/1.53 c_Groups_Oone__class_Oone( tc_Int_Oint ), X = c_Groups_Oone__class_Oone(
% 0.92/1.53 tc_Int_Oint ), X = c_Int_Onumber__class_Onumber__of( tc_Int_Oint,
% 0.92/1.53 c_Int_OMin ) }.
% 0.92/1.53 { ! c_Groups_Otimes__class_Otimes( tc_Int_Oint, Y, X ) =
% 0.92/1.53 c_Groups_Oone__class_Oone( tc_Int_Oint ), alpha29( X, Y ), alpha58( X, Y
% 0.92/1.53 ) }.
% 0.92/1.53 { ! alpha29( X, Y ), c_Groups_Otimes__class_Otimes( tc_Int_Oint, Y, X ) =
% 0.92/1.53 c_Groups_Oone__class_Oone( tc_Int_Oint ) }.
% 0.92/1.53 { ! alpha58( X, Y ), c_Groups_Otimes__class_Otimes( tc_Int_Oint, Y, X ) =
% 0.92/1.53 c_Groups_Oone__class_Oone( tc_Int_Oint ) }.
% 0.92/1.53 { ! alpha58( X, Y ), Y = c_Int_Onumber__class_Onumber__of( tc_Int_Oint,
% 0.92/1.53 c_Int_OMin ) }.
% 0.92/1.53 { ! alpha58( X, Y ), X = c_Int_Onumber__class_Onumber__of( tc_Int_Oint,
% 0.92/1.53 c_Int_OMin ) }.
% 0.92/1.53 { ! Y = c_Int_Onumber__class_Onumber__of( tc_Int_Oint, c_Int_OMin ), ! X =
% 0.92/1.53 c_Int_Onumber__class_Onumber__of( tc_Int_Oint, c_Int_OMin ), alpha58( X,
% 0.92/1.53 Y ) }.
% 0.92/1.53 { ! alpha29( X, Y ), Y = c_Groups_Oone__class_Oone( tc_Int_Oint ) }.
% 0.92/1.53 { ! alpha29( X, Y ), X = c_Groups_Oone__class_Oone( tc_Int_Oint ) }.
% 0.92/1.53 { ! Y = c_Groups_Oone__class_Oone( tc_Int_Oint ), ! X =
% 0.92/1.53 c_Groups_Oone__class_Oone( tc_Int_Oint ), alpha29( X, Y ) }.
% 0.92/1.53 { ! class_Int_Onumber__ring( X ), ! c_Int_Onumber__class_Onumber__of( X, Z
% 0.92/1.53 ) = c_Int_Onumber__class_Onumber__of( X, Y ), c_Int_Oiszero( X,
% 0.92/1.53 c_Int_Onumber__class_Onumber__of( X, c_Groups_Oplus__class_Oplus(
% 0.92/1.53 tc_Int_Oint, Z, c_Groups_Ouminus__class_Ouminus( tc_Int_Oint, Y ) ) ) ) }
% 0.92/1.53 .
% 0.92/1.53 { ! class_Int_Onumber__ring( X ), ! c_Int_Oiszero( X,
% 0.92/1.53 c_Int_Onumber__class_Onumber__of( X, c_Groups_Oplus__class_Oplus(
% 0.92/1.53 tc_Int_Oint, Z, c_Groups_Ouminus__class_Ouminus( tc_Int_Oint, Y ) ) ) ),
% 0.92/1.53 c_Int_Onumber__class_Onumber__of( X, Z ) =
% 0.92/1.53 c_Int_Onumber__class_Onumber__of( X, Y ) }.
% 0.92/1.53 { ! c_Orderings_Oord__class_Oless__eq( tc_Int_Oint,
% 0.92/1.53 c_Groups_Ozero__class_Ozero( tc_Int_Oint ), X ),
% 0.92/1.53 c_Orderings_Oord__class_Oless( tc_Int_Oint, c_Groups_Ozero__class_Ozero(
% 0.92/1.53 tc_Int_Oint ), c_Groups_Oplus__class_Oplus( tc_Int_Oint,
% 0.92/1.53 c_Groups_Oone__class_Oone( tc_Int_Oint ), X ) ) }.
% 0.92/1.53 { c_Groups_Oplus__class_Oplus( tc_Nat_Onat, c_Groups_Oone__class_Oone(
% 0.92/1.53 tc_Nat_Onat ), c_Groups_Oone__class_Oone( tc_Nat_Onat ) ) =
% 0.92/1.53 c_Int_Onumber__class_Onumber__of( tc_Nat_Onat, c_Int_OBit0( c_Int_OBit1(
% 0.92/1.53 c_Int_OPls ) ) ) }.
% 0.92/1.53 { ! class_Int_Onumber__ring( X ), ! c_Int_Onumber__class_Onumber__of( X, Y
% 0.92/1.53 ) = c_Groups_Ozero__class_Ozero( X ), c_Int_Oiszero( X,
% 0.92/1.53 c_Int_Onumber__class_Onumber__of( X, c_Groups_Oplus__class_Oplus(
% 0.92/1.53 tc_Int_Oint, Y, c_Groups_Ouminus__class_Ouminus( tc_Int_Oint, c_Int_OPls
% 0.92/1.53 ) ) ) ) }.
% 0.92/1.53 { ! class_Int_Onumber__ring( X ), ! c_Int_Oiszero( X,
% 0.92/1.53 c_Int_Onumber__class_Onumber__of( X, c_Groups_Oplus__class_Oplus(
% 0.92/1.53 tc_Int_Oint, Y, c_Groups_Ouminus__class_Ouminus( tc_Int_Oint, c_Int_OPls
% 0.92/1.53 ) ) ) ), c_Int_Onumber__class_Onumber__of( X, Y ) =
% 0.92/1.53 c_Groups_Ozero__class_Ozero( X ) }.
% 0.92/1.53 { ! class_Int_Onumber__ring( X ), ! c_Groups_Ozero__class_Ozero( X ) =
% 0.92/1.53 c_Int_Onumber__class_Onumber__of( X, Y ), c_Int_Oiszero( X,
% 0.92/1.53 c_Int_Onumber__class_Onumber__of( X, c_Groups_Oplus__class_Oplus(
% 0.92/1.53 tc_Int_Oint, c_Int_OPls, c_Groups_Ouminus__class_Ouminus( tc_Int_Oint, Y
% 0.92/1.53 ) ) ) ) }.
% 0.92/1.53 { ! class_Int_Onumber__ring( X ), ! c_Int_Oiszero( X,
% 0.92/1.53 c_Int_Onumber__class_Onumber__of( X, c_Groups_Oplus__class_Oplus(
% 0.92/1.53 tc_Int_Oint, c_Int_OPls, c_Groups_Ouminus__class_Ouminus( tc_Int_Oint, Y
% 0.92/1.53 ) ) ) ), c_Groups_Ozero__class_Ozero( X ) =
% 0.92/1.53 c_Int_Onumber__class_Onumber__of( X, Y ) }.
% 0.92/1.53 { ! class_Int_Onumber__ring( X ), ! c_Int_Onumber__class_Onumber__of( X, Y
% 0.92/1.53 ) = c_Groups_Oone__class_Oone( X ), c_Int_Oiszero( X,
% 0.92/1.53 c_Int_Onumber__class_Onumber__of( X, c_Groups_Oplus__class_Oplus(
% 0.92/1.53 tc_Int_Oint, Y, c_Groups_Ouminus__class_Ouminus( tc_Int_Oint, c_Int_OBit1
% 0.92/1.53 ( c_Int_OPls ) ) ) ) ) }.
% 0.92/1.53 { ! class_Int_Onumber__ring( X ), ! c_Int_Oiszero( X,
% 0.92/1.53 c_Int_Onumber__class_Onumber__of( X, c_Groups_Oplus__class_Oplus(
% 0.92/1.53 tc_Int_Oint, Y, c_Groups_Ouminus__class_Ouminus( tc_Int_Oint, c_Int_OBit1
% 0.92/1.53 ( c_Int_OPls ) ) ) ) ), c_Int_Onumber__class_Onumber__of( X, Y ) =
% 0.92/1.53 c_Groups_Oone__class_Oone( X ) }.
% 0.92/1.53 { ! class_Int_Onumber__ring( X ), ! c_Groups_Oone__class_Oone( X ) =
% 0.92/1.53 c_Int_Onumber__class_Onumber__of( X, Y ), c_Int_Oiszero( X,
% 0.92/1.53 c_Int_Onumber__class_Onumber__of( X, c_Groups_Oplus__class_Oplus(
% 0.92/1.53 tc_Int_Oint, c_Int_OBit1( c_Int_OPls ), c_Groups_Ouminus__class_Ouminus(
% 0.92/1.53 tc_Int_Oint, Y ) ) ) ) }.
% 0.92/1.53 { ! class_Int_Onumber__ring( X ), ! c_Int_Oiszero( X,
% 0.92/1.53 c_Int_Onumber__class_Onumber__of( X, c_Groups_Oplus__class_Oplus(
% 0.92/1.53 tc_Int_Oint, c_Int_OBit1( c_Int_OPls ), c_Groups_Ouminus__class_Ouminus(
% 0.92/1.53 tc_Int_Oint, Y ) ) ) ), c_Groups_Oone__class_Oone( X ) =
% 0.92/1.53 c_Int_Onumber__class_Onumber__of( X, Y ) }.
% 0.92/1.53 { ! class_Rings_Ocomm__semiring__1( X ), c_Groups_Otimes__class_Otimes( X,
% 0.92/1.53 Y, c_Groups_Ozero__class_Ozero( X ) ) = c_Groups_Ozero__class_Ozero( X )
% 0.92/1.53 }.
% 0.92/1.53 { ! class_Rings_Ocomm__semiring__1( X ), c_Groups_Otimes__class_Otimes( X,
% 0.92/1.53 c_Groups_Ozero__class_Ozero( X ), Y ) = c_Groups_Ozero__class_Ozero( X )
% 0.92/1.53 }.
% 0.92/1.53 { ! class_Semiring__Normalization_Ocomm__semiring__1__cancel__crossproduct
% 0.92/1.53 ( X ), ! Z = c_Groups_Oplus__class_Oplus( X, Z, Y ), Y =
% 0.92/1.53 c_Groups_Ozero__class_Ozero( X ) }.
% 0.92/1.53 { ! class_Semiring__Normalization_Ocomm__semiring__1__cancel__crossproduct
% 0.92/1.53 ( X ), ! Y = c_Groups_Ozero__class_Ozero( X ), Z =
% 0.92/1.53 c_Groups_Oplus__class_Oplus( X, Z, Y ) }.
% 0.92/1.53 { ! class_Rings_Ocomm__semiring__1( X ), c_Groups_Oplus__class_Oplus( X, Y
% 0.92/1.53 , c_Groups_Ozero__class_Ozero( X ) ) = Y }.
% 0.92/1.53 { ! class_Rings_Ocomm__semiring__1( X ), c_Groups_Oplus__class_Oplus( X,
% 0.92/1.53 c_Groups_Ozero__class_Ozero( X ), Y ) = Y }.
% 0.92/1.53 { ! class_Rings_Ocomm__semiring__1( X ), c_Groups_Otimes__class_Otimes( X,
% 0.92/1.53 T, c_Groups_Oplus__class_Oplus( X, Z, Y ) ) = c_Groups_Oplus__class_Oplus
% 0.92/1.53 ( X, c_Groups_Otimes__class_Otimes( X, T, Z ),
% 0.92/1.53 c_Groups_Otimes__class_Otimes( X, T, Y ) ) }.
% 0.92/1.53 { ! class_Semiring__Normalization_Ocomm__semiring__1__cancel__crossproduct
% 0.92/1.53 ( X ), U = T, Z = Y, ! c_Groups_Oplus__class_Oplus( X,
% 0.92/1.53 c_Groups_Otimes__class_Otimes( X, U, Z ), c_Groups_Otimes__class_Otimes(
% 0.92/1.53 X, T, Y ) ) = c_Groups_Oplus__class_Oplus( X,
% 0.92/1.53 c_Groups_Otimes__class_Otimes( X, U, Y ), c_Groups_Otimes__class_Otimes(
% 0.92/1.53 X, T, Z ) ) }.
% 0.92/1.53 { ! class_Semiring__Normalization_Ocomm__semiring__1__cancel__crossproduct
% 0.92/1.53 ( X ), c_Groups_Oplus__class_Oplus( X, c_Groups_Otimes__class_Otimes( X,
% 0.92/1.53 U, Z ), c_Groups_Otimes__class_Otimes( X, T, Y ) ) =
% 0.92/1.53 c_Groups_Oplus__class_Oplus( X, c_Groups_Otimes__class_Otimes( X, U, Y )
% 0.92/1.53 , c_Groups_Otimes__class_Otimes( X, T, Z ) ), ! U = T }.
% 0.92/1.53 { ! class_Semiring__Normalization_Ocomm__semiring__1__cancel__crossproduct
% 0.92/1.53 ( X ), c_Groups_Oplus__class_Oplus( X, c_Groups_Otimes__class_Otimes( X,
% 0.92/1.53 U, Z ), c_Groups_Otimes__class_Otimes( X, T, Y ) ) =
% 0.92/1.53 c_Groups_Oplus__class_Oplus( X, c_Groups_Otimes__class_Otimes( X, U, Y )
% 0.92/1.53 , c_Groups_Otimes__class_Otimes( X, T, Z ) ), ! Z = Y }.
% 0.92/1.53 { ! class_Rings_Ocomm__semiring__1( X ), c_Groups_Otimes__class_Otimes( X,
% 0.92/1.53 c_Groups_Oplus__class_Oplus( X, T, Z ), Y ) = c_Groups_Oplus__class_Oplus
% 0.92/1.53 ( X, c_Groups_Otimes__class_Otimes( X, T, Y ),
% 0.92/1.53 c_Groups_Otimes__class_Otimes( X, Z, Y ) ) }.
% 0.92/1.53 { ! class_Rings_Ocomm__semiring__1( X ), c_Groups_Oplus__class_Oplus( X,
% 0.92/1.53 c_Groups_Otimes__class_Otimes( X, T, Z ), c_Groups_Otimes__class_Otimes(
% 0.92/1.53 X, Y, Z ) ) = c_Groups_Otimes__class_Otimes( X,
% 0.92/1.53 c_Groups_Oplus__class_Oplus( X, T, Y ), Z ) }.
% 0.92/1.53 { ! class_Semiring__Normalization_Ocomm__semiring__1__cancel__crossproduct
% 0.92/1.53 ( X ), ! c_Groups_Oplus__class_Oplus( X, c_Groups_Otimes__class_Otimes( X
% 0.92/1.53 , U, T ), c_Groups_Otimes__class_Otimes( X, Z, Y ) ) =
% 0.92/1.53 c_Groups_Oplus__class_Oplus( X, c_Groups_Otimes__class_Otimes( X, U, Y )
% 0.92/1.53 , c_Groups_Otimes__class_Otimes( X, Z, T ) ), U = Z, T = Y }.
% 0.92/1.53 { ! class_Semiring__Normalization_Ocomm__semiring__1__cancel__crossproduct
% 0.92/1.53 ( X ), ! U = Z, c_Groups_Oplus__class_Oplus( X,
% 0.92/1.53 c_Groups_Otimes__class_Otimes( X, U, T ), c_Groups_Otimes__class_Otimes(
% 0.92/1.53 X, Z, Y ) ) = c_Groups_Oplus__class_Oplus( X,
% 0.92/1.53 c_Groups_Otimes__class_Otimes( X, U, Y ), c_Groups_Otimes__class_Otimes(
% 0.92/1.53 X, Z, T ) ) }.
% 0.92/1.53 { ! class_Semiring__Normalization_Ocomm__semiring__1__cancel__crossproduct
% 0.92/1.53 ( X ), ! T = Y, c_Groups_Oplus__class_Oplus( X,
% 0.92/1.53 c_Groups_Otimes__class_Otimes( X, U, T ), c_Groups_Otimes__class_Otimes(
% 0.92/1.53 X, Z, Y ) ) = c_Groups_Oplus__class_Oplus( X,
% 0.92/1.53 c_Groups_Otimes__class_Otimes( X, U, Y ), c_Groups_Otimes__class_Otimes(
% 0.92/1.53 X, Z, T ) ) }.
% 0.92/1.53 { ! class_Rings_Ocomm__semiring__1( X ), c_Groups_Otimes__class_Otimes( X,
% 0.92/1.53 Y, c_Groups_Oone__class_Oone( X ) ) = Y }.
% 0.92/1.53 { ! class_Rings_Ocomm__semiring__1( X ), c_Groups_Otimes__class_Otimes( X,
% 0.92/1.53 c_Groups_Oone__class_Oone( X ), Y ) = Y }.
% 0.92/1.53 { ! class_Semiring__Normalization_Ocomm__semiring__1__cancel__crossproduct
% 0.92/1.53 ( X ), Y = c_Groups_Ozero__class_Ozero( X ), ! W = U, T = Z, !
% 0.92/1.53 c_Groups_Oplus__class_Oplus( X, W, c_Groups_Otimes__class_Otimes( X, Y, T
% 0.92/1.53 ) ) = c_Groups_Oplus__class_Oplus( X, U, c_Groups_Otimes__class_Otimes(
% 0.92/1.53 X, Y, Z ) ) }.
% 0.92/1.53 { ! class_Rings_Ocomm__semiring__1( X ), c_Groups_Oplus__class_Oplus( X, Y
% 0.92/1.53 , Y ) = c_Groups_Otimes__class_Otimes( X, c_Groups_Oplus__class_Oplus( X
% 0.92/1.53 , c_Groups_Oone__class_Oone( X ), c_Groups_Oone__class_Oone( X ) ), Y ) }
% 0.92/1.53 .
% 0.92/1.53 { ! c_Orderings_Oord__class_Oless( tc_Int_Oint, c_Groups_Ozero__class_Ozero
% 0.92/1.53 ( tc_Int_Oint ), X ), ! X = c_Groups_Oplus__class_Oplus( tc_Int_Oint, Z,
% 0.92/1.53 c_Groups_Otimes__class_Otimes( tc_Int_Oint, X, Y ) ), !
% 0.92/1.53 c_Orderings_Oord__class_Oless__eq( tc_Int_Oint,
% 0.92/1.53 c_Groups_Ozero__class_Ozero( tc_Int_Oint ), Z ),
% 0.92/1.53 c_Orderings_Oord__class_Oless__eq( tc_Int_Oint, Y,
% 0.92/1.53 c_Groups_Oone__class_Oone( tc_Int_Oint ) ) }.
% 0.92/1.53 { ! c_Orderings_Oord__class_Oless( tc_Int_Oint, c_Groups_Ozero__class_Ozero
% 0.92/1.53 ( tc_Int_Oint ), X ), ! X = c_Groups_Oplus__class_Oplus( tc_Int_Oint, Z,
% 0.92/1.53 c_Groups_Otimes__class_Otimes( tc_Int_Oint, X, Y ) ), !
% 0.92/1.53 c_Orderings_Oord__class_Oless( tc_Int_Oint, Z, X ),
% 0.92/1.53 c_Orderings_Oord__class_Oless__eq( tc_Int_Oint, c_Groups_Oone__class_Oone
% 0.92/1.53 ( tc_Int_Oint ), Y ) }.
% 0.92/1.53 { ! c_Orderings_Oord__class_Oless__eq( tc_Int_Oint,
% 0.92/1.53 c_Groups_Ozero__class_Ozero( tc_Int_Oint ), c_Groups_Oplus__class_Oplus(
% 0.92/1.53 tc_Int_Oint, c_Groups_Otimes__class_Otimes( tc_Int_Oint, Z, Y ), X ) ), !
% 0.92/1.53 c_Orderings_Oord__class_Oless( tc_Int_Oint, X, Z ), !
% 0.92/1.53 c_Orderings_Oord__class_Oless( tc_Int_Oint, c_Groups_Ozero__class_Ozero(
% 0.92/1.53 tc_Int_Oint ), Z ), c_Orderings_Oord__class_Oless__eq( tc_Int_Oint,
% 0.92/1.53 c_Groups_Ozero__class_Ozero( tc_Int_Oint ), Y ) }.
% 0.92/1.53 { c_Groups_Oplus__class_Oplus( tc_Nat_Onat, Y, X ) =
% 0.92/1.53 c_Groups_Oplus__class_Oplus( tc_Nat_Onat, X, Y ) }.
% 0.92/1.53 { c_Groups_Otimes__class_Otimes( tc_Nat_Onat, Y, X ) =
% 0.92/1.53 c_Groups_Otimes__class_Otimes( tc_Nat_Onat, X, Y ) }.
% 0.92/1.53 { c_Groups_Oplus__class_Oplus( tc_Nat_Onat, Z, c_Groups_Oplus__class_Oplus
% 0.92/1.53 ( tc_Nat_Onat, Y, X ) ) = c_Groups_Oplus__class_Oplus( tc_Nat_Onat, Y,
% 0.92/1.53 c_Groups_Oplus__class_Oplus( tc_Nat_Onat, Z, X ) ) }.
% 0.92/1.53 { c_Groups_Otimes__class_Otimes( tc_Nat_Onat, Z,
% 0.92/1.53 c_Groups_Oplus__class_Oplus( tc_Nat_Onat, Y, X ) ) =
% 0.92/1.53 c_Groups_Oplus__class_Oplus( tc_Nat_Onat, c_Groups_Otimes__class_Otimes(
% 0.92/1.53 tc_Nat_Onat, Z, Y ), c_Groups_Otimes__class_Otimes( tc_Nat_Onat, Z, X ) )
% 0.92/1.53 }.
% 0.92/1.53 { c_Groups_Oplus__class_Oplus( tc_Nat_Onat, c_Groups_Oplus__class_Oplus(
% 0.92/1.53 tc_Nat_Onat, Z, Y ), X ) = c_Groups_Oplus__class_Oplus( tc_Nat_Onat, Z,
% 0.92/1.53 c_Groups_Oplus__class_Oplus( tc_Nat_Onat, Y, X ) ) }.
% 0.92/1.53 { c_Groups_Otimes__class_Otimes( tc_Nat_Onat, c_Groups_Otimes__class_Otimes
% 0.92/1.53 ( tc_Nat_Onat, Z, Y ), X ) = c_Groups_Otimes__class_Otimes( tc_Nat_Onat,
% 0.92/1.53 Z, c_Groups_Otimes__class_Otimes( tc_Nat_Onat, Y, X ) ) }.
% 0.92/1.53 { c_Groups_Otimes__class_Otimes( tc_Nat_Onat, c_Groups_Oplus__class_Oplus(
% 0.92/1.53 tc_Nat_Onat, Z, Y ), X ) = c_Groups_Oplus__class_Oplus( tc_Nat_Onat,
% 0.92/1.53 c_Groups_Otimes__class_Otimes( tc_Nat_Onat, Z, X ),
% 0.92/1.53 c_Groups_Otimes__class_Otimes( tc_Nat_Onat, Y, X ) ) }.
% 0.92/1.53 { ! c_Groups_Oplus__class_Oplus( tc_Nat_Onat, Z, Y ) =
% 0.92/1.53 c_Groups_Oplus__class_Oplus( tc_Nat_Onat, Z, X ), Y = X }.
% 0.92/1.53 { ! Y = X, c_Groups_Oplus__class_Oplus( tc_Nat_Onat, Z, Y ) =
% 0.92/1.53 c_Groups_Oplus__class_Oplus( tc_Nat_Onat, Z, X ) }.
% 0.92/1.53 { ! c_Groups_Oplus__class_Oplus( tc_Nat_Onat, Z, Y ) =
% 0.92/1.53 c_Groups_Oplus__class_Oplus( tc_Nat_Onat, X, Y ), Z = X }.
% 0.92/1.53 { ! Z = X, c_Groups_Oplus__class_Oplus( tc_Nat_Onat, Z, Y ) =
% 0.92/1.53 c_Groups_Oplus__class_Oplus( tc_Nat_Onat, X, Y ) }.
% 0.92/1.53 { ! c_Groups_Oplus__class_Oplus( tc_Int_Oint, c_Groups_Otimes__class_Otimes
% 0.92/1.53 ( tc_Int_Oint, W, U ), T ) = c_Groups_Oplus__class_Oplus( tc_Int_Oint,
% 0.92/1.53 c_Groups_Otimes__class_Otimes( tc_Int_Oint, Z, Y ), X ), !
% 0.92/1.53 c_Orderings_Oord__class_Oless( tc_Int_Oint, c_Groups_Oplus__class_Oplus(
% 0.92/1.53 tc_Int_Oint, c_Groups_Otimes__class_Otimes( tc_Int_Oint, Z, Y ), X ),
% 0.92/1.53 c_Groups_Ozero__class_Ozero( tc_Int_Oint ) ), !
% 0.92/1.53 c_Orderings_Oord__class_Oless( tc_Int_Oint, T, W ), !
% 0.92/1.53 c_Orderings_Oord__class_Oless__eq( tc_Int_Oint,
% 0.92/1.53 c_Groups_Ozero__class_Ozero( tc_Int_Oint ), X ), !
% 0.92/1.53 c_Orderings_Oord__class_Oless( tc_Int_Oint, c_Groups_Ozero__class_Ozero(
% 0.92/1.53 tc_Int_Oint ), Z ), ! c_Orderings_Oord__class_Oless__eq( tc_Int_Oint, Z,
% 0.92/1.53 W ), c_Orderings_Oord__class_Oless__eq( tc_Int_Oint, Y, U ) }.
% 0.92/1.53 { ! c_Orderings_Oord__class_Oless__eq( tc_Int_Oint,
% 0.92/1.53 c_Groups_Oplus__class_Oplus( tc_Int_Oint, c_Groups_Otimes__class_Otimes(
% 0.92/1.53 tc_Int_Oint, U, T ), Z ), c_Groups_Oplus__class_Oplus( tc_Int_Oint,
% 0.92/1.53 c_Groups_Otimes__class_Otimes( tc_Int_Oint, U, Y ), X ) ), !
% 0.92/1.53 c_Orderings_Oord__class_Oless__eq( tc_Int_Oint, X,
% 0.92/1.53 c_Groups_Ozero__class_Ozero( tc_Int_Oint ) ), !
% 0.92/1.53 c_Orderings_Oord__class_Oless( tc_Int_Oint, U, X ), !
% 0.92/1.53 c_Orderings_Oord__class_Oless( tc_Int_Oint, U, Z ),
% 0.92/1.53 c_Orderings_Oord__class_Oless__eq( tc_Int_Oint, Y, T ) }.
% 0.92/1.53 { ! c_Groups_Oplus__class_Oplus( tc_Int_Oint, c_Groups_Otimes__class_Otimes
% 0.92/1.53 ( tc_Int_Oint, W, U ), T ) = c_Groups_Oplus__class_Oplus( tc_Int_Oint,
% 0.92/1.53 c_Groups_Otimes__class_Otimes( tc_Int_Oint, Z, Y ), X ), !
% 0.92/1.53 c_Orderings_Oord__class_Oless__eq( tc_Int_Oint,
% 0.92/1.53 c_Groups_Ozero__class_Ozero( tc_Int_Oint ), c_Groups_Oplus__class_Oplus(
% 0.92/1.53 tc_Int_Oint, c_Groups_Otimes__class_Otimes( tc_Int_Oint, Z, Y ), X ) ), !
% 0.92/1.53 c_Orderings_Oord__class_Oless( tc_Int_Oint, X, Z ), !
% 0.92/1.53 c_Orderings_Oord__class_Oless__eq( tc_Int_Oint,
% 0.92/1.53 c_Groups_Ozero__class_Ozero( tc_Int_Oint ), T ), !
% 0.92/1.53 c_Orderings_Oord__class_Oless( tc_Int_Oint, c_Groups_Ozero__class_Ozero(
% 0.92/1.53 tc_Int_Oint ), Z ), ! c_Orderings_Oord__class_Oless__eq( tc_Int_Oint, Z,
% 0.92/1.53 W ), c_Orderings_Oord__class_Oless__eq( tc_Int_Oint, U, Y ) }.
% 0.92/1.53 { ! c_Orderings_Oord__class_Oless__eq( tc_Int_Oint,
% 0.92/1.53 c_Groups_Oplus__class_Oplus( tc_Int_Oint, c_Groups_Otimes__class_Otimes(
% 0.92/1.53 tc_Int_Oint, U, T ), Z ), c_Groups_Oplus__class_Oplus( tc_Int_Oint,
% 0.92/1.53 c_Groups_Otimes__class_Otimes( tc_Int_Oint, U, Y ), X ) ), !
% 0.92/1.53 c_Orderings_Oord__class_Oless__eq( tc_Int_Oint,
% 0.92/1.53 c_Groups_Ozero__class_Ozero( tc_Int_Oint ), Z ), !
% 0.92/1.53 c_Orderings_Oord__class_Oless( tc_Int_Oint, Z, U ), !
% 0.92/1.53 c_Orderings_Oord__class_Oless( tc_Int_Oint, X, U ),
% 0.92/1.53 c_Orderings_Oord__class_Oless__eq( tc_Int_Oint, T, Y ) }.
% 0.92/1.53 { ! c_Orderings_Oord__class_Oless( tc_Int_Oint, c_Groups_Oplus__class_Oplus
% 0.92/1.53 ( tc_Int_Oint, c_Groups_Otimes__class_Otimes( tc_Int_Oint, Z, Y ), X ),
% 0.92/1.53 c_Groups_Ozero__class_Ozero( tc_Int_Oint ) ), !
% 0.92/1.53 c_Orderings_Oord__class_Oless__eq( tc_Int_Oint,
% 0.92/1.53 c_Groups_Ozero__class_Ozero( tc_Int_Oint ), X ), !
% 0.92/1.53 c_Orderings_Oord__class_Oless( tc_Int_Oint, c_Groups_Ozero__class_Ozero(
% 0.92/1.53 tc_Int_Oint ), Z ), c_Orderings_Oord__class_Oless__eq( tc_Int_Oint, Y,
% 0.92/1.53 c_Groups_Ozero__class_Ozero( tc_Int_Oint ) ) }.
% 0.92/1.53 { ! c_Orderings_Oord__class_Oless( tc_Nat_Onat, c_Groups_Ozero__class_Ozero
% 0.92/1.53 ( tc_Nat_Onat ), X ), ! c_Orderings_Oord__class_Oless__eq( tc_Nat_Onat,
% 0.92/1.53 c_Groups_Otimes__class_Otimes( tc_Nat_Onat, X, Z ),
% 0.92/1.53 c_Groups_Otimes__class_Otimes( tc_Nat_Onat, X, Y ) ),
% 0.92/1.53 c_Orderings_Oord__class_Oless__eq( tc_Nat_Onat, Z, Y ) }.
% 0.92/1.53 { ! c_Orderings_Oord__class_Oless( tc_Nat_Onat, c_Groups_Ozero__class_Ozero
% 0.92/1.53 ( tc_Nat_Onat ), X ), ! c_Orderings_Oord__class_Oless__eq( tc_Nat_Onat, Z
% 0.92/1.53 , Y ), c_Orderings_Oord__class_Oless__eq( tc_Nat_Onat,
% 0.92/1.53 c_Groups_Otimes__class_Otimes( tc_Nat_Onat, X, Z ),
% 0.92/1.53 c_Groups_Otimes__class_Otimes( tc_Nat_Onat, X, Y ) ) }.
% 0.92/1.53 { ! c_Orderings_Oord__class_Oless( tc_Nat_Onat, c_Groups_Ozero__class_Ozero
% 0.92/1.53 ( tc_Nat_Onat ), X ), ! c_Groups_Otimes__class_Otimes( tc_Nat_Onat, X, Z
% 0.92/1.53 ) = c_Groups_Otimes__class_Otimes( tc_Nat_Onat, X, Y ), Z = Y }.
% 0.92/1.53 { ! c_Orderings_Oord__class_Oless( tc_Nat_Onat, c_Groups_Ozero__class_Ozero
% 0.92/1.53 ( tc_Nat_Onat ), X ), ! Z = Y, c_Groups_Otimes__class_Otimes( tc_Nat_Onat
% 0.92/1.53 , X, Z ) = c_Groups_Otimes__class_Otimes( tc_Nat_Onat, X, Y ) }.
% 0.92/1.53 { ! c_Groups_Otimes__class_Otimes( tc_Nat_Onat, Z, Y ) =
% 0.92/1.53 c_Groups_Otimes__class_Otimes( tc_Nat_Onat, Z, X ), Z =
% 0.92/1.53 c_Groups_Ozero__class_Ozero( tc_Nat_Onat ), Y = X }.
% 0.92/1.53 { ! Z = c_Groups_Ozero__class_Ozero( tc_Nat_Onat ),
% 0.92/1.53 c_Groups_Otimes__class_Otimes( tc_Nat_Onat, Z, Y ) =
% 0.92/1.53 c_Groups_Otimes__class_Otimes( tc_Nat_Onat, Z, X ) }.
% 0.92/1.53 { ! Y = X, c_Groups_Otimes__class_Otimes( tc_Nat_Onat, Z, Y ) =
% 0.92/1.53 c_Groups_Otimes__class_Otimes( tc_Nat_Onat, Z, X ) }.
% 0.92/1.53 { c_Groups_Oplus__class_Oplus( tc_Nat_Onat, c_Groups_Otimes__class_Otimes(
% 0.92/1.53 tc_Nat_Onat, T, Z ), c_Groups_Oplus__class_Oplus( tc_Nat_Onat,
% 0.92/1.53 c_Groups_Otimes__class_Otimes( tc_Nat_Onat, Y, Z ), X ) ) =
% 0.92/1.53 c_Groups_Oplus__class_Oplus( tc_Nat_Onat, c_Groups_Otimes__class_Otimes(
% 0.92/1.53 tc_Nat_Onat, c_Groups_Oplus__class_Oplus( tc_Nat_Onat, T, Y ), Z ), X ) }
% 0.92/1.53 .
% 0.92/1.53 { ! c_Orderings_Oord__class_Oless( tc_Nat_Onat, c_Groups_Ozero__class_Ozero
% 0.92/1.53 ( tc_Nat_Onat ), X ), ! c_Orderings_Oord__class_Oless( tc_Nat_Onat,
% 0.92/1.53 c_Groups_Otimes__class_Otimes( tc_Nat_Onat, X, Z ),
% 0.92/1.53 c_Groups_Otimes__class_Otimes( tc_Nat_Onat, X, Y ) ),
% 0.92/1.53 c_Orderings_Oord__class_Oless( tc_Nat_Onat, Z, Y ) }.
% 0.92/1.53 { ! c_Orderings_Oord__class_Oless( tc_Nat_Onat, c_Groups_Ozero__class_Ozero
% 0.92/1.53 ( tc_Nat_Onat ), X ), ! c_Orderings_Oord__class_Oless( tc_Nat_Onat, Z, Y
% 0.92/1.53 ), c_Orderings_Oord__class_Oless( tc_Nat_Onat,
% 0.92/1.53 c_Groups_Otimes__class_Otimes( tc_Nat_Onat, X, Z ),
% 0.92/1.53 c_Groups_Otimes__class_Otimes( tc_Nat_Onat, X, Y ) ) }.
% 0.92/1.53 { c_Rings_Oinverse__class_Odivide( tc_RealDef_Oreal, c_Transcendental_Opi,
% 0.92/1.53 c_Int_Onumber__class_Onumber__of( tc_RealDef_Oreal, c_Int_OBit0(
% 0.92/1.53 c_Int_OBit0( c_Int_OBit1( c_Int_OPls ) ) ) ) ) =
% 0.92/1.53 c_Groups_Ominus__class_Ominus( tc_RealDef_Oreal,
% 0.92/1.53 c_Groups_Otimes__class_Otimes( tc_RealDef_Oreal,
% 0.92/1.53 c_Int_Onumber__class_Onumber__of( tc_RealDef_Oreal, c_Int_OBit0(
% 0.92/1.53 c_Int_OBit0( c_Int_OBit1( c_Int_OPls ) ) ) ), c_Transcendental_Oarctan(
% 0.92/1.53 c_Rings_Oinverse__class_Odivide( tc_RealDef_Oreal,
% 0.92/1.53 c_Groups_Oone__class_Oone( tc_RealDef_Oreal ),
% 0.92/1.53 c_Int_Onumber__class_Onumber__of( tc_RealDef_Oreal, c_Int_OBit1(
% 0.92/1.53 c_Int_OBit0( c_Int_OBit1( c_Int_OPls ) ) ) ) ) ) ),
% 0.92/1.53 c_Transcendental_Oarctan( c_Rings_Oinverse__class_Odivide(
% 0.92/1.53 tc_RealDef_Oreal, c_Groups_Oone__class_Oone( tc_RealDef_Oreal ),
% 0.92/1.53 c_Int_Onumber__class_Onumber__of( tc_RealDef_Oreal, c_Int_OBit1(
% 0.92/1.53 c_Int_OBit1( c_Int_OBit1( c_Int_OBit1( c_Int_OBit0( c_Int_OBit1(
% 0.92/1.53 c_Int_OBit1( c_Int_OBit1( c_Int_OPls ) ) ) ) ) ) ) ) ) ) ) ) }.
% 0.92/1.53 { ! c_Orderings_Oord__class_Oless__eq( tc_Int_Oint,
% 0.92/1.53 c_Groups_Ozero__class_Ozero( tc_Int_Oint ), X ),
% 0.92/1.53 c_Divides_Odiv__class_Omod( tc_Int_Oint, c_Groups_Oplus__class_Oplus(
% 0.92/1.53 tc_Int_Oint, c_Groups_Oone__class_Oone( tc_Int_Oint ),
% 0.92/1.53 c_Groups_Otimes__class_Otimes( tc_Int_Oint,
% 0.92/1.53 c_Int_Onumber__class_Onumber__of( tc_Int_Oint, c_Int_OBit0( c_Int_OBit1(
% 0.92/1.53 c_Int_OPls ) ) ), Y ) ), c_Groups_Otimes__class_Otimes( tc_Int_Oint,
% 0.92/1.53 c_Int_Onumber__class_Onumber__of( tc_Int_Oint, c_Int_OBit0( c_Int_OBit1(
% 0.92/1.53 c_Int_OPls ) ) ), X ) ) = c_Groups_Oplus__class_Oplus( tc_Int_Oint,
% 0.92/1.53 c_Groups_Oone__class_Oone( tc_Int_Oint ), c_Groups_Otimes__class_Otimes(
% 0.92/1.53 tc_Int_Oint, c_Int_Onumber__class_Onumber__of( tc_Int_Oint, c_Int_OBit0(
% 0.92/1.53 c_Int_OBit1( c_Int_OPls ) ) ), c_Divides_Odiv__class_Omod( tc_Int_Oint, Y
% 0.92/1.53 , X ) ) ) }.
% 0.92/1.53 { ! class_Groups_Oordered__ab__group__add( X ), !
% 0.92/1.53 c_Orderings_Oord__class_Oless__eq( X, Z, Y ),
% 0.92/1.53 c_Orderings_Oord__class_Oless__eq( X, c_Groups_Ominus__class_Ominus( X, Z
% 0.92/1.53 , Y ), c_Groups_Ozero__class_Ozero( X ) ) }.
% 0.92/1.53 { ! class_Groups_Oordered__ab__group__add( X ), !
% 0.92/1.53 c_Orderings_Oord__class_Oless__eq( X, c_Groups_Ominus__class_Ominus( X, Z
% 0.92/1.53 , Y ), c_Groups_Ozero__class_Ozero( X ) ),
% 0.92/1.53 c_Orderings_Oord__class_Oless__eq( X, Z, Y ) }.
% 0.92/1.53 { ! class_Groups_Oordered__ab__group__add( X ), !
% 0.92/1.53 c_Orderings_Oord__class_Oless( X, Z, Y ), c_Orderings_Oord__class_Oless(
% 0.92/1.53 X, c_Groups_Ominus__class_Ominus( X, Z, Y ), c_Groups_Ozero__class_Ozero
% 0.92/1.53 ( X ) ) }.
% 0.92/1.53 { ! class_Groups_Oordered__ab__group__add( X ), !
% 0.92/1.53 c_Orderings_Oord__class_Oless( X, c_Groups_Ominus__class_Ominus( X, Z, Y
% 0.92/1.53 ), c_Groups_Ozero__class_Ozero( X ) ), c_Orderings_Oord__class_Oless( X
% 0.92/1.53 , Z, Y ) }.
% 0.92/1.53 { ! class_Groups_Ogroup__add( X ), c_Groups_Ominus__class_Ominus( X,
% 0.92/1.53 c_Groups_Ozero__class_Ozero( X ), Y ) = c_Groups_Ouminus__class_Ouminus(
% 0.92/1.53 X, Y ) }.
% 0.92/1.53 { ! c_Orderings_Oord__class_Oless__eq( tc_RealDef_Oreal, Y, X ),
% 0.92/1.53 c_Orderings_Oord__class_Oless__eq( tc_RealDef_Oreal,
% 0.92/1.53 c_Groups_Ominus__class_Ominus( tc_RealDef_Oreal, Y, X ),
% 0.92/1.53 c_Groups_Ozero__class_Ozero( tc_RealDef_Oreal ) ) }.
% 0.92/1.53 { ! c_Orderings_Oord__class_Oless__eq( tc_RealDef_Oreal,
% 0.92/1.53 c_Groups_Ominus__class_Ominus( tc_RealDef_Oreal, Y, X ),
% 0.92/1.53 c_Groups_Ozero__class_Ozero( tc_RealDef_Oreal ) ),
% 0.92/1.53 c_Orderings_Oord__class_Oless__eq( tc_RealDef_Oreal, Y, X ) }.
% 0.92/1.53 { ! class_Groups_Ogroup__add( X ), c_Groups_Ominus__class_Ominus( X, Y,
% 0.92/1.53 c_Groups_Ozero__class_Ozero( X ) ) = Y }.
% 0.92/1.53 { ! class_Groups_Ogroup__add( X ), c_Groups_Ominus__class_Ominus( X, Y, Y )
% 0.92/1.53 = c_Groups_Ozero__class_Ozero( X ) }.
% 0.92/1.53 { ! class_Groups_Oab__group__add( X ), ! Z = Y,
% 0.92/1.53 c_Groups_Ominus__class_Ominus( X, Z, Y ) = c_Groups_Ozero__class_Ozero( X
% 0.92/1.53 ) }.
% 0.92/1.53 { ! class_Groups_Oab__group__add( X ), ! c_Groups_Ominus__class_Ominus( X,
% 0.92/1.53 Z, Y ) = c_Groups_Ozero__class_Ozero( X ), Z = Y }.
% 0.92/1.53 { ! class_Groups_Ogroup__add( X ), ! c_Groups_Ominus__class_Ominus( X, Z, Y
% 0.92/1.53 ) = c_Groups_Ozero__class_Ozero( X ), Z = Y }.
% 0.92/1.53 { ! class_Groups_Ogroup__add( X ), ! Z = Y, c_Groups_Ominus__class_Ominus(
% 0.92/1.53 X, Z, Y ) = c_Groups_Ozero__class_Ozero( X ) }.
% 0.92/1.53 { ! class_Groups_Oordered__ab__group__add( X ), !
% 0.92/1.53 c_Groups_Ominus__class_Ominus( X, U, T ) = c_Groups_Ominus__class_Ominus
% 0.92/1.53 ( X, Z, Y ), ! c_Orderings_Oord__class_Oless__eq( X, U, T ),
% 0.92/1.53 c_Orderings_Oord__class_Oless__eq( X, Z, Y ) }.
% 0.92/1.53 { ! class_Groups_Oordered__ab__group__add( X ), !
% 0.92/1.53 c_Groups_Ominus__class_Ominus( X, U, T ) = c_Groups_Ominus__class_Ominus
% 0.92/1.53 ( X, Z, Y ), ! c_Orderings_Oord__class_Oless__eq( X, Z, Y ),
% 0.92/1.53 c_Orderings_Oord__class_Oless__eq( X, U, T ) }.
% 0.92/1.53 { ! class_Groups_Oordered__ab__group__add( X ), !
% 0.92/1.53 c_Groups_Ominus__class_Ominus( X, U, T ) = c_Groups_Ominus__class_Ominus
% 0.92/1.53 ( X, Z, Y ), ! c_Orderings_Oord__class_Oless( X, U, T ),
% 0.92/1.53 c_Orderings_Oord__class_Oless( X, Z, Y ) }.
% 0.92/1.53 { ! class_Groups_Oordered__ab__group__add( X ), !
% 0.92/1.53 c_Groups_Ominus__class_Ominus( X, U, T ) = c_Groups_Ominus__class_Ominus
% 0.92/1.53 ( X, Z, Y ), ! c_Orderings_Oord__class_Oless( X, Z, Y ),
% 0.92/1.53 c_Orderings_Oord__class_Oless( X, U, T ) }.
% 0.92/1.53 { ! class_Groups_Oab__group__add( X ), c_Groups_Ouminus__class_Ouminus( X,
% 0.92/1.53 c_Groups_Ominus__class_Ominus( X, Z, Y ) ) =
% 0.92/1.53 c_Groups_Ominus__class_Ominus( X, Y, Z ) }.
% 0.92/1.53 { ! class_Int_Onumber__ring( X ), c_Int_Onumber__class_Onumber__of( X,
% 0.92/1.53 c_Groups_Ominus__class_Ominus( tc_Int_Oint, Z, Y ) ) =
% 0.92/1.53 c_Groups_Ominus__class_Ominus( X, c_Int_Onumber__class_Onumber__of( X, Z
% 0.92/1.53 ), c_Int_Onumber__class_Onumber__of( X, Y ) ) }.
% 0.92/1.53 { ! class_Groups_Ominus( X ), hAPP( c_Groups_Ominus__class_Ominus( tc_fun(
% 0.92/1.53 U, X ), T, Z ), Y ) = c_Groups_Ominus__class_Ominus( X, hAPP( T, Y ),
% 0.92/1.53 hAPP( Z, Y ) ) }.
% 0.92/1.53 { ! class_Groups_Oab__group__add( X ), ! c_Groups_Ominus__class_Ominus( X,
% 0.92/1.53 U, T ) = c_Groups_Ominus__class_Ominus( X, Z, Y ), ! U = T, Z = Y }.
% 0.92/1.53 { ! class_Groups_Oab__group__add( X ), ! c_Groups_Ominus__class_Ominus( X,
% 0.92/1.53 U, T ) = c_Groups_Ominus__class_Ominus( X, Z, Y ), ! Z = Y, U = T }.
% 0.92/1.53 { ! class_Groups_Oordered__ab__group__add( X ),
% 0.92/1.53 c_Groups_Ominus__class_Ominus( X, c_Orderings_Oord__class_Omin( X, T, Z )
% 0.92/1.53 , Y ) = c_Orderings_Oord__class_Omin( X, c_Groups_Ominus__class_Ominus( X
% 0.92/1.53 , T, Y ), c_Groups_Ominus__class_Ominus( X, Z, Y ) ) }.
% 0.92/1.53 { ! class_RealVector_Oreal__normed__field( X ),
% 0.92/1.53 c_Rings_Oinverse__class_Odivide( X, c_Groups_Ominus__class_Ominus( X, T,
% 0.92/1.53 Z ), Y ) = c_Groups_Ominus__class_Ominus( X,
% 0.92/1.53 c_Rings_Oinverse__class_Odivide( X, T, Y ),
% 0.92/1.53 c_Rings_Oinverse__class_Odivide( X, Z, Y ) ) }.
% 0.92/1.53 { ! class_Rings_Odivision__ring( X ), c_Rings_Oinverse__class_Odivide( X,
% 0.92/1.53 c_Groups_Ominus__class_Ominus( X, T, Z ), Y ) =
% 0.92/1.53 c_Groups_Ominus__class_Ominus( X, c_Rings_Oinverse__class_Odivide( X, T,
% 0.92/1.53 Y ), c_Rings_Oinverse__class_Odivide( X, Z, Y ) ) }.
% 0.92/1.53 { c_Groups_Ominus__class_Ominus( tc_RealDef_Oreal, Y, X ) =
% 0.92/1.53 c_Groups_Oplus__class_Oplus( tc_RealDef_Oreal, Y,
% 0.92/1.53 c_Groups_Ouminus__class_Ouminus( tc_RealDef_Oreal, X ) ) }.
% 0.92/1.53 { c_Groups_Ominus__class_Ominus( tc_RealDef_Oreal, Y, X ) =
% 0.92/1.53 c_Groups_Oplus__class_Oplus( tc_RealDef_Oreal, Y,
% 0.92/1.53 c_Groups_Ouminus__class_Ouminus( tc_RealDef_Oreal, X ) ) }.
% 0.92/1.53 { ! class_Divides_Osemiring__div( X ), c_Divides_Odiv__class_Omod( X, Y,
% 0.92/1.53 c_Groups_Oone__class_Oone( X ) ) = c_Groups_Ozero__class_Ozero( X ) }.
% 0.92/1.53 { c_Divides_Odiv__class_Omod( tc_Int_Oint, Y,
% 0.92/1.53 c_Groups_Ouminus__class_Ouminus( tc_Int_Oint, X ) ) =
% 0.92/1.53 c_Groups_Ouminus__class_Ouminus( tc_Int_Oint, c_Divides_Odiv__class_Omod
% 0.92/1.53 ( tc_Int_Oint, c_Groups_Ouminus__class_Ouminus( tc_Int_Oint, Y ), X ) ) }
% 0.92/1.53 .
% 0.92/1.53 { ! class_Divides_Oring__div( X ), c_Divides_Odiv__class_Omod( X,
% 0.92/1.53 c_Groups_Ouminus__class_Ouminus( X, Z ), Y ) = c_Divides_Odiv__class_Omod
% 0.92/1.53 ( X, c_Groups_Ouminus__class_Ouminus( X, c_Divides_Odiv__class_Omod( X, Z
% 0.92/1.53 , Y ) ), Y ) }.
% 0.92/1.53 { c_Divides_Odiv__class_Omod( tc_Int_Oint, c_Groups_Ouminus__class_Ouminus
% 0.92/1.53 ( tc_Int_Oint, Y ), c_Groups_Ouminus__class_Ouminus( tc_Int_Oint, X ) ) =
% 0.92/1.53 c_Groups_Ouminus__class_Ouminus( tc_Int_Oint, c_Divides_Odiv__class_Omod
% 0.92/1.53 ( tc_Int_Oint, Y, X ) ) }.
% 0.92/1.53 { c_Divides_Odiv__class_Omod( tc_Int_Oint, c_Groups_Ouminus__class_Ouminus
% 0.92/1.53 ( tc_Int_Oint, c_Divides_Odiv__class_Omod( tc_Int_Oint, Y, X ) ), X ) =
% 0.92/1.53 c_Divides_Odiv__class_Omod( tc_Int_Oint, c_Groups_Ouminus__class_Ouminus
% 0.92/1.53 ( tc_Int_Oint, Y ), X ) }.
% 0.92/1.53 { ! class_Divides_Oring__div( X ), ! c_Divides_Odiv__class_Omod( X, T, Z )
% 0.92/1.53 = c_Divides_Odiv__class_Omod( X, Y, Z ), c_Divides_Odiv__class_Omod( X,
% 0.92/1.53 c_Groups_Ouminus__class_Ouminus( X, T ), Z ) = c_Divides_Odiv__class_Omod
% 0.92/1.53 ( X, c_Groups_Ouminus__class_Ouminus( X, Y ), Z ) }.
% 0.92/1.53 { ! class_Divides_Osemiring__div( X ), c_Divides_Odiv__class_Omod( X, Y, Y
% 0.92/1.53 ) = c_Groups_Ozero__class_Ozero( X ) }.
% 0.92/1.53 { ! class_Divides_Osemiring__div( X ), c_Divides_Odiv__class_Omod( X, Y,
% 0.92/1.53 c_Groups_Ozero__class_Ozero( X ) ) = Y }.
% 0.92/1.53 { ! class_Divides_Osemiring__div( X ), c_Divides_Odiv__class_Omod( X,
% 0.92/1.53 c_Groups_Ozero__class_Ozero( X ), Y ) = c_Groups_Ozero__class_Ozero( X )
% 0.92/1.53 }.
% 0.92/1.53 { c_Divides_Odiv__class_Omod( tc_Int_Oint, X, X ) =
% 0.92/1.53 c_Groups_Ozero__class_Ozero( tc_Int_Oint ) }.
% 0.92/1.53 { c_Divides_Odiv__class_Omod( tc_Int_Oint, c_Groups_Ozero__class_Ozero(
% 0.92/1.53 tc_Int_Oint ), X ) = c_Groups_Ozero__class_Ozero( tc_Int_Oint ) }.
% 0.92/1.53 { ! class_Divides_Osemiring__div( X ), c_Divides_Odiv__class_Omod( X,
% 0.92/1.53 c_Divides_Odiv__class_Omod( X, Z, Y ), Y ) = c_Divides_Odiv__class_Omod(
% 0.92/1.53 X, Z, Y ) }.
% 0.92/1.53 { ! class_Divides_Oring__div( X ), c_Divides_Odiv__class_Omod( X,
% 0.92/1.53 c_Groups_Ominus__class_Ominus( X, T, Z ), Y ) =
% 0.92/1.53 c_Divides_Odiv__class_Omod( X, c_Groups_Ominus__class_Ominus( X, T,
% 0.92/1.53 c_Divides_Odiv__class_Omod( X, Z, Y ) ), Y ) }.
% 0.92/1.53 { ! class_Divides_Oring__div( X ), c_Divides_Odiv__class_Omod( X,
% 0.92/1.53 c_Groups_Ominus__class_Ominus( X, T, Z ), Y ) =
% 0.92/1.53 c_Divides_Odiv__class_Omod( X, c_Groups_Ominus__class_Ominus( X,
% 0.92/1.53 c_Divides_Odiv__class_Omod( X, T, Y ), Z ), Y ) }.
% 0.92/1.53 { ! class_Divides_Oring__div( X ), c_Divides_Odiv__class_Omod( X,
% 0.92/1.53 c_Groups_Ominus__class_Ominus( X, T, Z ), Y ) =
% 0.92/1.53 c_Divides_Odiv__class_Omod( X, c_Groups_Ominus__class_Ominus( X,
% 0.92/1.53 c_Divides_Odiv__class_Omod( X, T, Y ), c_Divides_Odiv__class_Omod( X, Z,
% 0.92/1.53 Y ) ), Y ) }.
% 0.92/1.53 { ! class_Divides_Oring__div( X ), ! c_Divides_Odiv__class_Omod( X, T, Z )
% 0.92/1.53 = c_Divides_Odiv__class_Omod( X, Y, Z ), ! c_Divides_Odiv__class_Omod( X
% 0.92/1.53 , W, Z ) = c_Divides_Odiv__class_Omod( X, U, Z ),
% 0.92/1.53 c_Divides_Odiv__class_Omod( X, c_Groups_Ominus__class_Ominus( X, T, W ),
% 0.92/1.53 Z ) = c_Divides_Odiv__class_Omod( X, c_Groups_Ominus__class_Ominus( X, Y
% 0.92/1.53 , U ), Z ) }.
% 0.92/1.53 { ! class_Groups_Ogroup__add( X ), c_Groups_Ominus__class_Ominus( X, Z,
% 0.92/1.53 c_Groups_Ouminus__class_Ouminus( X, Y ) ) = c_Groups_Oplus__class_Oplus(
% 0.92/1.53 X, Z, Y ) }.
% 0.92/1.53 { ! class_Groups_Oab__group__add( X ), c_Groups_Ominus__class_Ominus( X, Z
% 0.92/1.53 , Y ) = c_Groups_Oplus__class_Oplus( X, Z,
% 0.92/1.53 c_Groups_Ouminus__class_Ouminus( X, Y ) ) }.
% 0.92/1.53 { ! class_Groups_Ogroup__add( X ), c_Groups_Ominus__class_Ominus( X, Z, Y )
% 0.92/1.53 = c_Groups_Oplus__class_Oplus( X, Z, c_Groups_Ouminus__class_Ouminus( X
% 0.92/1.53 , Y ) ) }.
% 0.92/1.53 { ! class_Int_Onumber( X ), ! class_Rings_Oring( X ),
% 0.92/1.53 c_Groups_Otimes__class_Otimes( X, c_Groups_Ominus__class_Ominus( X, T, Z
% 0.92/1.53 ), c_Int_Onumber__class_Onumber__of( X, Y ) ) =
% 0.92/1.53 c_Groups_Ominus__class_Ominus( X, c_Groups_Otimes__class_Otimes( X, T,
% 0.92/1.53 c_Int_Onumber__class_Onumber__of( X, Y ) ), c_Groups_Otimes__class_Otimes
% 0.92/1.53 ( X, Z, c_Int_Onumber__class_Onumber__of( X, Y ) ) ) }.
% 0.92/1.53 { ! class_Int_Onumber( X ), ! class_Rings_Oring( X ),
% 0.92/1.53 c_Groups_Otimes__class_Otimes( X, c_Int_Onumber__class_Onumber__of( X, T
% 0.92/1.53 ), c_Groups_Ominus__class_Ominus( X, Z, Y ) ) =
% 0.92/1.53 c_Groups_Ominus__class_Ominus( X, c_Groups_Otimes__class_Otimes( X,
% 0.92/1.53 c_Int_Onumber__class_Onumber__of( X, T ), Z ),
% 0.92/1.53 c_Groups_Otimes__class_Otimes( X, c_Int_Onumber__class_Onumber__of( X, T
% 0.92/1.53 ), Y ) ) }.
% 0.92/1.53 { ! class_RealVector_Oreal__normed__algebra( X ),
% 0.92/1.53 c_Groups_Ominus__class_Ominus( X, c_Groups_Otimes__class_Otimes( X, U, T
% 0.92/1.53 ), c_Groups_Otimes__class_Otimes( X, Z, Y ) ) =
% 0.92/1.53 c_Groups_Oplus__class_Oplus( X, c_Groups_Oplus__class_Oplus( X,
% 0.92/1.53 c_Groups_Otimes__class_Otimes( X, c_Groups_Ominus__class_Ominus( X, U, Z
% 0.92/1.53 ), c_Groups_Ominus__class_Ominus( X, T, Y ) ),
% 0.92/1.53 c_Groups_Otimes__class_Otimes( X, c_Groups_Ominus__class_Ominus( X, U, Z
% 0.92/1.53 ), Y ) ), c_Groups_Otimes__class_Otimes( X, Z,
% 0.92/1.53 c_Groups_Ominus__class_Ominus( X, T, Y ) ) ) }.
% 0.92/1.53 { ! class_Rings_Oring( X ), ! c_Groups_Oplus__class_Oplus( X,
% 0.92/1.53 c_Groups_Otimes__class_Otimes( X, W, U ), T ) =
% 0.92/1.53 c_Groups_Oplus__class_Oplus( X, c_Groups_Otimes__class_Otimes( X, Z, U )
% 0.92/1.53 , Y ), T = c_Groups_Oplus__class_Oplus( X, c_Groups_Otimes__class_Otimes
% 0.92/1.53 ( X, c_Groups_Ominus__class_Ominus( X, Z, W ), U ), Y ) }.
% 0.92/1.53 { ! class_Rings_Oring( X ), ! T = c_Groups_Oplus__class_Oplus( X,
% 0.92/1.53 c_Groups_Otimes__class_Otimes( X, c_Groups_Ominus__class_Ominus( X, Z, W
% 0.92/1.53 ), U ), Y ), c_Groups_Oplus__class_Oplus( X,
% 0.92/1.53 c_Groups_Otimes__class_Otimes( X, W, U ), T ) =
% 0.92/1.53 c_Groups_Oplus__class_Oplus( X, c_Groups_Otimes__class_Otimes( X, Z, U )
% 0.92/1.53 , Y ) }.
% 0.92/1.53 { ! class_Rings_Oring( X ), ! c_Groups_Oplus__class_Oplus( X,
% 0.92/1.53 c_Groups_Otimes__class_Otimes( X, W, U ), T ) =
% 0.92/1.53 c_Groups_Oplus__class_Oplus( X, c_Groups_Otimes__class_Otimes( X, Z, U )
% 0.92/1.53 , Y ), c_Groups_Oplus__class_Oplus( X, c_Groups_Otimes__class_Otimes( X,
% 0.92/1.53 c_Groups_Ominus__class_Ominus( X, W, Z ), U ), T ) = Y }.
% 0.92/1.53 { ! class_Rings_Oring( X ), ! c_Groups_Oplus__class_Oplus( X,
% 0.92/1.53 c_Groups_Otimes__class_Otimes( X, c_Groups_Ominus__class_Ominus( X, W, Z
% 0.92/1.53 ), U ), T ) = Y, c_Groups_Oplus__class_Oplus( X,
% 0.92/1.53 c_Groups_Otimes__class_Otimes( X, W, U ), T ) =
% 0.92/1.53 c_Groups_Oplus__class_Oplus( X, c_Groups_Otimes__class_Otimes( X, Z, U )
% 0.92/1.53 , Y ) }.
% 0.92/1.53 { ! class_Rings_Oring( X ), c_Groups_Ominus__class_Ominus( X,
% 0.92/1.53 c_Groups_Otimes__class_Otimes( X, U, T ), c_Groups_Otimes__class_Otimes(
% 0.92/1.53 X, Z, Y ) ) = c_Groups_Oplus__class_Oplus( X,
% 0.92/1.53 c_Groups_Otimes__class_Otimes( X, U, c_Groups_Ominus__class_Ominus( X, T
% 0.92/1.53 , Y ) ), c_Groups_Otimes__class_Otimes( X, c_Groups_Ominus__class_Ominus
% 0.92/1.53 ( X, U, Z ), Y ) ) }.
% 0.92/1.53 { c_Groups_Ominus__class_Ominus( tc_RealDef_Oreal, hAPP( Z, Y ),
% 0.92/1.53 c_Groups_Otimes__class_Otimes( tc_RealDef_Oreal,
% 0.92/1.53 c_Rings_Oinverse__class_Odivide( tc_RealDef_Oreal,
% 0.92/1.53 c_Groups_Ominus__class_Ominus( tc_RealDef_Oreal, hAPP( Z, X ), hAPP( Z, Y
% 0.92/1.53 ) ), c_Groups_Ominus__class_Ominus( tc_RealDef_Oreal, X, Y ) ), Y ) ) =
% 0.92/1.53 c_Groups_Ominus__class_Ominus( tc_RealDef_Oreal, hAPP( Z, X ),
% 0.92/1.53 c_Groups_Otimes__class_Otimes( tc_RealDef_Oreal,
% 0.92/1.53 c_Rings_Oinverse__class_Odivide( tc_RealDef_Oreal,
% 0.92/1.53 c_Groups_Ominus__class_Ominus( tc_RealDef_Oreal, hAPP( Z, X ), hAPP( Z, Y
% 0.92/1.53 ) ), c_Groups_Ominus__class_Ominus( tc_RealDef_Oreal, X, Y ) ), X ) ) }
% 0.92/1.53 .
% 0.92/1.53 { c_Divides_Odiv__class_Omod( tc_Int_Oint, Y,
% 0.92/1.53 c_Groups_Ouminus__class_Ouminus( tc_Int_Oint, X ) ) =
% 0.92/1.53 c_Groups_Ozero__class_Ozero( tc_Int_Oint ), ! c_Divides_Odiv__class_Omod
% 0.92/1.53 ( tc_Int_Oint, Y, X ) = c_Groups_Ozero__class_Ozero( tc_Int_Oint ) }.
% 0.92/1.53 { c_Divides_Odiv__class_Omod( tc_Int_Oint, c_Groups_Ouminus__class_Ouminus
% 0.92/1.53 ( tc_Int_Oint, Y ), X ) = c_Groups_Ozero__class_Ozero( tc_Int_Oint ), !
% 0.92/1.53 c_Divides_Odiv__class_Omod( tc_Int_Oint, Y, X ) =
% 0.92/1.53 c_Groups_Ozero__class_Ozero( tc_Int_Oint ) }.
% 0.92/1.53 { ! c_Orderings_Oord__class_Oless( tc_Int_Oint, X,
% 0.92/1.53 c_Groups_Ozero__class_Ozero( tc_Int_Oint ) ),
% 0.92/1.53 c_Orderings_Oord__class_Oless( tc_Int_Oint, X, c_Divides_Odiv__class_Omod
% 0.92/1.53 ( tc_Int_Oint, Y, X ) ) }.
% 0.92/1.53 { ! c_Orderings_Oord__class_Oless( tc_Int_Oint, c_Groups_Ozero__class_Ozero
% 0.92/1.53 ( tc_Int_Oint ), X ), c_Orderings_Oord__class_Oless( tc_Int_Oint,
% 0.92/1.53 c_Divides_Odiv__class_Omod( tc_Int_Oint, Y, X ), X ) }.
% 0.92/1.53 { ! c_Orderings_Oord__class_Oless__eq( tc_Int_Oint,
% 0.92/1.53 c_Groups_Ozero__class_Ozero( tc_Int_Oint ), X ),
% 0.92/1.53 c_Orderings_Oord__class_Oless__eq( tc_Int_Oint,
% 0.92/1.53 c_Divides_Odiv__class_Omod( tc_Int_Oint, X, Y ), X ) }.
% 0.92/1.53 { ! c_Orderings_Oord__class_Oless__eq( tc_Int_Oint,
% 0.92/1.53 c_Groups_Ozero__class_Ozero( tc_Int_Oint ), X ), !
% 0.92/1.53 c_Orderings_Oord__class_Oless__eq( tc_Int_Oint,
% 0.92/1.53 c_Groups_Ozero__class_Ozero( tc_Int_Oint ), Y ),
% 0.92/1.53 c_Orderings_Oord__class_Oless__eq( tc_Int_Oint,
% 0.92/1.53 c_Groups_Ozero__class_Ozero( tc_Int_Oint ), c_Divides_Odiv__class_Omod(
% 0.92/1.53 tc_Int_Oint, X, Y ) ) }.
% 0.92/1.53 { ! class_Rings_Ocomm__ring__1( X ), c_Groups_Ominus__class_Ominus( X, Z, Y
% 0.92/1.53 ) = c_Groups_Oplus__class_Oplus( X, Z, c_Groups_Ouminus__class_Ouminus(
% 0.92/1.53 X, Y ) ) }.
% 0.92/1.53 { ! class_Groups_Ogroup__add( X ), c_Groups_Ominus__class_Ominus( X,
% 0.92/1.53 c_Groups_Oplus__class_Oplus( X, Z, Y ), Y ) = Z }.
% 0.92/1.53 { ! class_Groups_Ogroup__add( X ), c_Groups_Oplus__class_Oplus( X,
% 0.92/1.53 c_Groups_Ominus__class_Ominus( X, Z, Y ), Y ) = Z }.
% 0.92/1.53 { ! class_Divides_Osemiring__div( X ), c_Divides_Odiv__class_Omod( X,
% 0.92/1.53 c_Groups_Otimes__class_Otimes( X, Z, Y ), Z ) =
% 0.92/1.53 c_Groups_Ozero__class_Ozero( X ) }.
% 0.92/1.53 { ! class_Divides_Osemiring__div( X ), c_Divides_Odiv__class_Omod( X,
% 0.92/1.53 c_Groups_Otimes__class_Otimes( X, Z, Y ), Y ) =
% 0.92/1.53 c_Groups_Ozero__class_Ozero( X ) }.
% 0.92/1.53 { ! c_Divides_Odiv__class_Omod( tc_Int_Oint, Y, X ) =
% 0.92/1.53 c_Groups_Ozero__class_Ozero( tc_Int_Oint ), Y =
% 0.92/1.53 c_Groups_Otimes__class_Otimes( tc_Int_Oint, X, skol11( X, Y ) ) }.
% 0.92/1.53 { ! Y = c_Groups_Otimes__class_Otimes( tc_Int_Oint, X, Z ),
% 0.92/1.53 c_Divides_Odiv__class_Omod( tc_Int_Oint, Y, X ) =
% 0.92/1.53 c_Groups_Ozero__class_Ozero( tc_Int_Oint ) }.
% 0.92/1.53 { ! class_RealVector_Oreal__normed__algebra( X ),
% 0.92/1.53 c_Groups_Otimes__class_Otimes( X, c_Groups_Ominus__class_Ominus( X, T, Z
% 0.92/1.53 ), Y ) = c_Groups_Ominus__class_Ominus( X, c_Groups_Otimes__class_Otimes
% 0.92/1.53 ( X, T, Y ), c_Groups_Otimes__class_Otimes( X, Z, Y ) ) }.
% 0.92/1.53 { ! class_RealVector_Oreal__normed__algebra( X ),
% 0.92/1.53 c_Groups_Otimes__class_Otimes( X, c_Groups_Ominus__class_Ominus( X, T, Z
% 0.92/1.53 ), Y ) = c_Groups_Ominus__class_Ominus( X, c_Groups_Otimes__class_Otimes
% 0.92/1.53 ( X, T, Y ), c_Groups_Otimes__class_Otimes( X, Z, Y ) ) }.
% 0.92/1.53 { ! class_RealVector_Oreal__normed__algebra( X ),
% 0.92/1.53 c_Groups_Otimes__class_Otimes( X, T, c_Groups_Ominus__class_Ominus( X, Z
% 0.92/1.53 , Y ) ) = c_Groups_Ominus__class_Ominus( X, c_Groups_Otimes__class_Otimes
% 0.92/1.53 ( X, T, Z ), c_Groups_Otimes__class_Otimes( X, T, Y ) ) }.
% 0.92/1.53 { ! class_RealVector_Oreal__normed__algebra( X ),
% 0.92/1.53 c_Groups_Otimes__class_Otimes( X, T, c_Groups_Ominus__class_Ominus( X, Z
% 0.92/1.53 , Y ) ) = c_Groups_Ominus__class_Ominus( X, c_Groups_Otimes__class_Otimes
% 0.92/1.53 ( X, T, Z ), c_Groups_Otimes__class_Otimes( X, T, Y ) ) }.
% 0.92/1.53 { ! class_Divides_Osemiring__div( X ), c_Divides_Odiv__class_Omod( X,
% 0.92/1.53 c_Groups_Oplus__class_Oplus( X, Z, Y ), Y ) = c_Divides_Odiv__class_Omod
% 0.92/1.53 ( X, Z, Y ) }.
% 0.92/1.53 { ! class_Divides_Osemiring__div( X ), c_Divides_Odiv__class_Omod( X,
% 0.92/1.53 c_Groups_Oplus__class_Oplus( X, Z, Y ), Z ) = c_Divides_Odiv__class_Omod
% 0.92/1.53 ( X, Y, Z ) }.
% 0.92/1.53 { ! class_Divides_Osemiring__div( X ), c_Divides_Odiv__class_Omod( X,
% 0.92/1.53 c_Groups_Oplus__class_Oplus( X, T, Z ), Y ) = c_Divides_Odiv__class_Omod
% 0.92/1.53 ( X, c_Groups_Oplus__class_Oplus( X, T, c_Divides_Odiv__class_Omod( X, Z
% 0.92/1.53 , Y ) ), Y ) }.
% 0.92/1.53 { ! class_Divides_Osemiring__div( X ), c_Divides_Odiv__class_Omod( X,
% 0.92/1.53 c_Groups_Otimes__class_Otimes( X, T, Z ), Y ) =
% 0.92/1.53 c_Divides_Odiv__class_Omod( X, c_Groups_Otimes__class_Otimes( X, T,
% 0.92/1.53 c_Divides_Odiv__class_Omod( X, Z, Y ) ), Y ) }.
% 0.92/1.53 { c_Divides_Odiv__class_Omod( tc_Int_Oint, c_Groups_Otimes__class_Otimes(
% 0.92/1.53 tc_Int_Oint, Z, Y ), X ) = c_Divides_Odiv__class_Omod( tc_Int_Oint,
% 0.92/1.53 c_Groups_Otimes__class_Otimes( tc_Int_Oint, Z, c_Divides_Odiv__class_Omod
% 0.92/1.53 ( tc_Int_Oint, Y, X ) ), X ) }.
% 0.92/1.53 { ! class_Divides_Osemiring__div( X ), c_Divides_Odiv__class_Omod( X,
% 0.92/1.53 c_Groups_Oplus__class_Oplus( X, T, Z ), Y ) = c_Divides_Odiv__class_Omod
% 0.92/1.53 ( X, c_Groups_Oplus__class_Oplus( X, c_Divides_Odiv__class_Omod( X, T, Y
% 0.92/1.53 ), Z ), Y ) }.
% 0.92/1.53 { ! class_Divides_Osemiring__div( X ), c_Divides_Odiv__class_Omod( X,
% 0.92/1.53 c_Groups_Otimes__class_Otimes( X, T, Z ), Y ) =
% 0.92/1.53 c_Divides_Odiv__class_Omod( X, c_Groups_Otimes__class_Otimes( X,
% 0.92/1.53 c_Divides_Odiv__class_Omod( X, T, Y ), Z ), Y ) }.
% 0.92/1.53 { ! class_Divides_Osemiring__div( X ), c_Divides_Odiv__class_Omod( X,
% 0.92/1.53 c_Groups_Oplus__class_Oplus( X, T, Z ), Y ) = c_Divides_Odiv__class_Omod
% 0.92/1.53 ( X, c_Groups_Oplus__class_Oplus( X, c_Divides_Odiv__class_Omod( X, T, Y
% 0.92/1.53 ), c_Divides_Odiv__class_Omod( X, Z, Y ) ), Y ) }.
% 0.92/1.53 { ! class_Divides_Osemiring__div( X ), c_Divides_Odiv__class_Omod( X,
% 0.92/1.53 c_Groups_Otimes__class_Otimes( X, T, Z ), Y ) =
% 0.92/1.53 c_Divides_Odiv__class_Omod( X, c_Groups_Otimes__class_Otimes( X,
% 0.92/1.53 c_Divides_Odiv__class_Omod( X, T, Y ), c_Divides_Odiv__class_Omod( X, Z,
% 0.92/1.53 Y ) ), Y ) }.
% 0.92/1.53 { ! class_Divides_Osemiring__div( X ), c_Divides_Odiv__class_Omod( X,
% 0.92/1.53 c_Groups_Otimes__class_Otimes( X, T, Z ), c_Groups_Otimes__class_Otimes(
% 0.92/1.53 X, T, Y ) ) = c_Groups_Otimes__class_Otimes( X, T,
% 0.92/1.53 c_Divides_Odiv__class_Omod( X, Z, Y ) ) }.
% 0.92/1.53 { ! class_Divides_Osemiring__div( X ), c_Divides_Odiv__class_Omod( X,
% 0.92/1.53 c_Groups_Otimes__class_Otimes( X, T, Z ), c_Groups_Otimes__class_Otimes(
% 0.92/1.53 X, Y, Z ) ) = c_Groups_Otimes__class_Otimes( X,
% 0.92/1.53 c_Divides_Odiv__class_Omod( X, T, Y ), Z ) }.
% 0.92/1.53 { ! class_Groups_Oab__group__add( X ), c_Groups_Ominus__class_Ominus( X,
% 0.92/1.53 c_Groups_Oplus__class_Oplus( X, U, T ), c_Groups_Oplus__class_Oplus( X, Z
% 0.92/1.53 , Y ) ) = c_Groups_Oplus__class_Oplus( X, c_Groups_Ominus__class_Ominus(
% 0.92/1.53 X, U, Z ), c_Groups_Ominus__class_Ominus( X, T, Y ) ) }.
% 0.92/1.53 { ! class_Divides_Osemiring__div( X ), c_Divides_Odiv__class_Omod( X,
% 0.92/1.53 c_Groups_Oplus__class_Oplus( X, T, c_Groups_Otimes__class_Otimes( X, Z, Y
% 0.92/1.53 ) ), Z ) = c_Divides_Odiv__class_Omod( X, T, Z ) }.
% 0.92/1.53 { ! class_Divides_Osemiring__div( X ), c_Divides_Odiv__class_Omod( X,
% 0.92/1.53 c_Groups_Oplus__class_Oplus( X, T, c_Groups_Otimes__class_Otimes( X, Z, Y
% 0.92/1.53 ) ), Y ) = c_Divides_Odiv__class_Omod( X, T, Y ) }.
% 0.92/1.53 { ! class_Divides_Osemiring__div( X ), c_Divides_Odiv__class_Omod( X,
% 0.92/1.53 c_Groups_Oplus__class_Oplus( X, T, c_Divides_Odiv__class_Omod( X, Z, Y )
% 0.92/1.53 ), Y ) = c_Divides_Odiv__class_Omod( X, c_Groups_Oplus__class_Oplus( X,
% 0.92/1.53 T, Z ), Y ) }.
% 0.92/1.53 { c_Divides_Odiv__class_Omod( tc_Int_Oint, c_Groups_Otimes__class_Otimes(
% 0.92/1.53 tc_Int_Oint, Z, c_Divides_Odiv__class_Omod( tc_Int_Oint, Y, X ) ), X ) =
% 0.92/1.53 c_Divides_Odiv__class_Omod( tc_Int_Oint, c_Groups_Otimes__class_Otimes(
% 0.92/1.53 tc_Int_Oint, Z, Y ), X ) }.
% 0.92/1.53 { ! class_Divides_Osemiring__div( X ), c_Divides_Odiv__class_Omod( X,
% 0.92/1.53 c_Groups_Oplus__class_Oplus( X, c_Divides_Odiv__class_Omod( X, T, Z ), Y
% 0.92/1.53 ), Z ) = c_Divides_Odiv__class_Omod( X, c_Groups_Oplus__class_Oplus( X,
% 0.92/1.53 T, Y ), Z ) }.
% 0.92/1.53 { ! class_Divides_Osemiring__div( X ), c_Divides_Odiv__class_Omod( X,
% 0.92/1.53 c_Groups_Otimes__class_Otimes( X, c_Divides_Odiv__class_Omod( X, T, Z ),
% 0.92/1.53 Y ), Z ) = c_Divides_Odiv__class_Omod( X, c_Groups_Otimes__class_Otimes(
% 0.92/1.53 X, T, Y ), Z ) }.
% 0.92/1.53 { ! class_Divides_Osemiring__div( X ), ! c_Divides_Odiv__class_Omod( X, T,
% 0.92/1.53 Z ) = c_Divides_Odiv__class_Omod( X, Y, Z ), ! c_Divides_Odiv__class_Omod
% 0.92/1.53 ( X, W, Z ) = c_Divides_Odiv__class_Omod( X, U, Z ),
% 0.92/1.53 c_Divides_Odiv__class_Omod( X, c_Groups_Oplus__class_Oplus( X, T, W ), Z
% 0.92/1.53 ) = c_Divides_Odiv__class_Omod( X, c_Groups_Oplus__class_Oplus( X, Y, U
% 0.92/1.53 ), Z ) }.
% 0.92/1.53 { ! class_Divides_Osemiring__div( X ), ! c_Divides_Odiv__class_Omod( X, T,
% 0.92/1.53 Z ) = c_Divides_Odiv__class_Omod( X, Y, Z ), ! c_Divides_Odiv__class_Omod
% 0.92/1.53 ( X, W, Z ) = c_Divides_Odiv__class_Omod( X, U, Z ),
% 0.92/1.53 c_Divides_Odiv__class_Omod( X, c_Groups_Otimes__class_Otimes( X, T, W ),
% 0.92/1.53 Z ) = c_Divides_Odiv__class_Omod( X, c_Groups_Otimes__class_Otimes( X, Y
% 0.92/1.53 , U ), Z ) }.
% 0.92/1.53 { ! class_Rings_Oordered__ring( X ), ! c_Orderings_Oord__class_Oless__eq( X
% 0.92/1.53 , c_Groups_Oplus__class_Oplus( X, c_Groups_Otimes__class_Otimes( X, W, U
% 0.92/1.53 ), T ), c_Groups_Oplus__class_Oplus( X, c_Groups_Otimes__class_Otimes( X
% 0.92/1.53 , Z, U ), Y ) ), c_Orderings_Oord__class_Oless__eq( X,
% 0.92/1.53 c_Groups_Oplus__class_Oplus( X, c_Groups_Otimes__class_Otimes( X,
% 0.92/1.53 c_Groups_Ominus__class_Ominus( X, W, Z ), U ), T ), Y ) }.
% 0.92/1.53 { ! class_Rings_Oordered__ring( X ), ! c_Orderings_Oord__class_Oless__eq( X
% 0.92/1.53 , c_Groups_Oplus__class_Oplus( X, c_Groups_Otimes__class_Otimes( X,
% 0.92/1.53 c_Groups_Ominus__class_Ominus( X, W, Z ), U ), T ), Y ),
% 0.92/1.53 c_Orderings_Oord__class_Oless__eq( X, c_Groups_Oplus__class_Oplus( X,
% 0.92/1.53 c_Groups_Otimes__class_Otimes( X, W, U ), T ),
% 0.92/1.53 c_Groups_Oplus__class_Oplus( X, c_Groups_Otimes__class_Otimes( X, Z, U )
% 0.92/1.53 , Y ) ) }.
% 0.92/1.53 { ! class_Rings_Oordered__ring( X ), ! c_Orderings_Oord__class_Oless__eq( X
% 0.92/1.53 , c_Groups_Oplus__class_Oplus( X, c_Groups_Otimes__class_Otimes( X, W, U
% 0.92/1.53 ), T ), c_Groups_Oplus__class_Oplus( X, c_Groups_Otimes__class_Otimes( X
% 0.92/1.53 , Z, U ), Y ) ), c_Orderings_Oord__class_Oless__eq( X, T,
% 0.92/1.53 c_Groups_Oplus__class_Oplus( X, c_Groups_Otimes__class_Otimes( X,
% 0.92/1.53 c_Groups_Ominus__class_Ominus( X, Z, W ), U ), Y ) ) }.
% 0.92/1.53 { ! class_Rings_Oordered__ring( X ), ! c_Orderings_Oord__class_Oless__eq( X
% 0.92/1.53 , T, c_Groups_Oplus__class_Oplus( X, c_Groups_Otimes__class_Otimes( X,
% 0.92/1.53 c_Groups_Ominus__class_Ominus( X, Z, W ), U ), Y ) ),
% 0.92/1.53 c_Orderings_Oord__class_Oless__eq( X, c_Groups_Oplus__class_Oplus( X,
% 0.92/1.53 c_Groups_Otimes__class_Otimes( X, W, U ), T ),
% 0.92/1.53 c_Groups_Oplus__class_Oplus( X, c_Groups_Otimes__class_Otimes( X, Z, U )
% 0.92/1.53 , Y ) ) }.
% 0.92/1.53 { ! class_Rings_Oordered__ring( X ), ! c_Orderings_Oord__class_Oless( X,
% 0.92/1.53 c_Groups_Oplus__class_Oplus( X, c_Groups_Otimes__class_Otimes( X, W, U )
% 0.92/1.53 , T ), c_Groups_Oplus__class_Oplus( X, c_Groups_Otimes__class_Otimes( X,
% 0.92/1.53 Z, U ), Y ) ), c_Orderings_Oord__class_Oless( X, T,
% 0.92/1.53 c_Groups_Oplus__class_Oplus( X, c_Groups_Otimes__class_Otimes( X,
% 0.92/1.53 c_Groups_Ominus__class_Ominus( X, Z, W ), U ), Y ) ) }.
% 0.92/1.53 { ! class_Rings_Oordered__ring( X ), ! c_Orderings_Oord__class_Oless( X, T
% 0.92/1.53 , c_Groups_Oplus__class_Oplus( X, c_Groups_Otimes__class_Otimes( X,
% 0.92/1.53 c_Groups_Ominus__class_Ominus( X, Z, W ), U ), Y ) ),
% 0.92/1.53 c_Orderings_Oord__class_Oless( X, c_Groups_Oplus__class_Oplus( X,
% 0.92/1.53 c_Groups_Otimes__class_Otimes( X, W, U ), T ),
% 0.92/1.53 c_Groups_Oplus__class_Oplus( X, c_Groups_Otimes__class_Otimes( X, Z, U )
% 0.92/1.53 , Y ) ) }.
% 0.92/1.53 { ! class_Rings_Oordered__ring( X ), ! c_Orderings_Oord__class_Oless( X,
% 0.92/1.53 c_Groups_Oplus__class_Oplus( X, c_Groups_Otimes__class_Otimes( X, W, U )
% 0.92/1.53 , T ), c_Groups_Oplus__class_Oplus( X, c_Groups_Otimes__class_Otimes( X,
% 0.92/1.53 Z, U ), Y ) ), c_Orderings_Oord__class_Oless( X,
% 0.92/1.53 c_Groups_Oplus__class_Oplus( X, c_Groups_Otimes__class_Otimes( X,
% 0.92/1.53 c_Groups_Ominus__class_Ominus( X, W, Z ), U ), T ), Y ) }.
% 0.92/1.53 { ! class_Rings_Oordered__ring( X ), ! c_Orderings_Oord__class_Oless( X,
% 0.92/1.53 c_Groups_Oplus__class_Oplus( X, c_Groups_Otimes__class_Otimes( X,
% 0.92/1.53 c_Groups_Ominus__class_Ominus( X, W, Z ), U ), T ), Y ),
% 0.92/1.53 c_Orderings_Oord__class_Oless( X, c_Groups_Oplus__class_Oplus( X,
% 0.92/1.53 c_Groups_Otimes__class_Otimes( X, W, U ), T ),
% 0.92/1.53 c_Groups_Oplus__class_Oplus( X, c_Groups_Otimes__class_Otimes( X, Z, U )
% 0.92/1.53 , Y ) ) }.
% 0.92/1.53 { ! class_Rings_Oring__1( X ), c_Groups_Ominus__class_Ominus( X,
% 0.92/1.53 c_Groups_Otimes__class_Otimes( X, Y, Y ), c_Groups_Oone__class_Oone( X )
% 0.92/1.53 ) = c_Groups_Otimes__class_Otimes( X, c_Groups_Oplus__class_Oplus( X, Y
% 0.92/1.53 , c_Groups_Oone__class_Oone( X ) ), c_Groups_Ominus__class_Ominus( X, Y,
% 0.92/1.53 c_Groups_Oone__class_Oone( X ) ) ) }.
% 0.92/1.53 { ! class_Fields_Ofield( X ), Y = c_Groups_Ozero__class_Ozero( X ), Z =
% 0.92/1.53 c_Groups_Ozero__class_Ozero( X ), c_Groups_Ominus__class_Ominus( X,
% 0.92/1.53 c_Rings_Oinverse__class_Odivide( X, U, Y ),
% 0.92/1.53 c_Rings_Oinverse__class_Odivide( X, T, Z ) ) =
% 0.92/1.53 c_Rings_Oinverse__class_Odivide( X, c_Groups_Ominus__class_Ominus( X,
% 0.92/1.53 c_Groups_Otimes__class_Otimes( X, U, Z ), c_Groups_Otimes__class_Otimes(
% 0.92/1.53 X, T, Y ) ), c_Groups_Otimes__class_Otimes( X, Y, Z ) ) }.
% 0.92/1.53 { ! class_Fields_Ofield( X ), Y = c_Groups_Ozero__class_Ozero( X ),
% 0.92/1.53 c_Groups_Ominus__class_Ominus( X, c_Rings_Oinverse__class_Odivide( X, T,
% 0.92/1.53 Y ), Z ) = c_Rings_Oinverse__class_Odivide( X,
% 0.92/1.53 c_Groups_Ominus__class_Ominus( X, T, c_Groups_Otimes__class_Otimes( X, Y
% 0.92/1.53 , Z ) ), Y ) }.
% 0.92/1.53 { ! class_Fields_Ofield( X ), Y = c_Groups_Ozero__class_Ozero( X ),
% 0.92/1.53 c_Groups_Ominus__class_Ominus( X, T, c_Rings_Oinverse__class_Odivide( X,
% 0.92/1.53 Z, Y ) ) = c_Rings_Oinverse__class_Odivide( X,
% 0.92/1.53 c_Groups_Ominus__class_Ominus( X, c_Groups_Otimes__class_Otimes( X, Y, T
% 0.92/1.53 ), Z ), Y ) }.
% 0.92/1.53 { ! class_RealVector_Oreal__field( X ), c_Rings_Oinverse__class_Odivide( X
% 0.92/1.53 , c_Groups_Ominus__class_Ominus( X, c_Groups_Otimes__class_Otimes( X, W,
% 0.92/1.53 U ), c_Groups_Otimes__class_Otimes( X, T, Z ) ), Y ) =
% 0.92/1.53 c_Groups_Oplus__class_Oplus( X, c_Groups_Otimes__class_Otimes( X, W,
% 0.92/1.53 c_Rings_Oinverse__class_Odivide( X, c_Groups_Ominus__class_Ominus( X, U,
% 0.92/1.53 Z ), Y ) ), c_Groups_Otimes__class_Otimes( X,
% 0.92/1.53 c_Rings_Oinverse__class_Odivide( X, c_Groups_Ominus__class_Ominus( X, W,
% 0.92/1.53 T ), Y ), Z ) ) }.
% 0.92/1.53 { ! class_Int_Onumber__ring( X ), c_Groups_Oplus__class_Oplus( X,
% 0.92/1.53 c_Int_Onumber__class_Onumber__of( X, T ), c_Groups_Ominus__class_Ominus(
% 0.92/1.53 X, c_Int_Onumber__class_Onumber__of( X, Z ), Y ) ) =
% 0.92/1.53 c_Groups_Ominus__class_Ominus( X, c_Int_Onumber__class_Onumber__of( X,
% 0.92/1.53 c_Groups_Oplus__class_Oplus( tc_Int_Oint, T, Z ) ), Y ) }.
% 0.92/1.53 { ! c_Orderings_Oord__class_Oless__eq( tc_Int_Oint, X,
% 0.92/1.53 c_Groups_Ozero__class_Ozero( tc_Int_Oint ) ), !
% 0.92/1.53 c_Orderings_Oord__class_Oless( tc_Int_Oint, Y, X ),
% 0.92/1.53 c_Divides_Odiv__class_Omod( tc_Int_Oint, X, Y ) = X }.
% 0.92/1.53 { ! c_Orderings_Oord__class_Oless( tc_Int_Oint, X,
% 0.92/1.53 c_Groups_Ozero__class_Ozero( tc_Int_Oint ) ),
% 0.92/1.53 c_Orderings_Oord__class_Oless__eq( tc_Int_Oint,
% 0.92/1.53 c_Divides_Odiv__class_Omod( tc_Int_Oint, Y, X ),
% 0.92/1.53 c_Groups_Ozero__class_Ozero( tc_Int_Oint ) ) }.
% 0.92/1.53 { ! c_Orderings_Oord__class_Oless( tc_Int_Oint, X,
% 0.92/1.53 c_Groups_Ozero__class_Ozero( tc_Int_Oint ) ),
% 0.92/1.53 c_Orderings_Oord__class_Oless( tc_Int_Oint, X, c_Divides_Odiv__class_Omod
% 0.92/1.53 ( tc_Int_Oint, Y, X ) ) }.
% 0.92/1.53 { ! c_Orderings_Oord__class_Oless( tc_Int_Oint, X,
% 0.92/1.53 c_Groups_Ozero__class_Ozero( tc_Int_Oint ) ),
% 0.92/1.53 c_Orderings_Oord__class_Oless__eq( tc_Int_Oint,
% 0.92/1.53 c_Divides_Odiv__class_Omod( tc_Int_Oint, Y, X ),
% 0.92/1.53 c_Groups_Ozero__class_Ozero( tc_Int_Oint ) ) }.
% 0.92/1.53 { ! c_Orderings_Oord__class_Oless__eq( tc_Int_Oint,
% 0.92/1.53 c_Groups_Ozero__class_Ozero( tc_Int_Oint ), X ), !
% 0.92/1.53 c_Orderings_Oord__class_Oless( tc_Int_Oint, X, Y ),
% 0.92/1.53 c_Divides_Odiv__class_Omod( tc_Int_Oint, X, Y ) = X }.
% 0.92/1.53 { ! c_Orderings_Oord__class_Oless( tc_Int_Oint, c_Groups_Ozero__class_Ozero
% 0.92/1.53 ( tc_Int_Oint ), X ), c_Orderings_Oord__class_Oless__eq( tc_Int_Oint,
% 0.92/1.53 c_Groups_Ozero__class_Ozero( tc_Int_Oint ), c_Divides_Odiv__class_Omod(
% 0.92/1.53 tc_Int_Oint, Y, X ) ) }.
% 0.92/1.53 { ! c_Orderings_Oord__class_Oless( tc_Int_Oint, c_Groups_Ozero__class_Ozero
% 0.92/1.53 ( tc_Int_Oint ), X ), c_Orderings_Oord__class_Oless( tc_Int_Oint,
% 0.92/1.53 c_Divides_Odiv__class_Omod( tc_Int_Oint, Y, X ), X ) }.
% 0.92/1.53 { ! c_Orderings_Oord__class_Oless( tc_Int_Oint, c_Groups_Ozero__class_Ozero
% 0.92/1.53 ( tc_Int_Oint ), X ), c_Orderings_Oord__class_Oless__eq( tc_Int_Oint,
% 0.92/1.53 c_Groups_Ozero__class_Ozero( tc_Int_Oint ), c_Divides_Odiv__class_Omod(
% 0.92/1.53 tc_Int_Oint, Y, X ) ) }.
% 0.92/1.53 { c_Divides_Odiv__class_Omod( tc_Int_Oint, X,
% 0.92/1.53 c_Int_Onumber__class_Onumber__of( tc_Int_Oint, c_Int_OMin ) ) =
% 0.92/1.53 c_Groups_Ozero__class_Ozero( tc_Int_Oint ) }.
% 0.92/1.53 { ! class_Int_Onumber__ring( X ), c_Groups_Ominus__class_Ominus( X,
% 0.92/1.53 c_Int_Onumber__class_Onumber__of( X, Z ),
% 0.92/1.53 c_Int_Onumber__class_Onumber__of( X, Y ) ) =
% 0.92/1.53 c_Int_Onumber__class_Onumber__of( X, c_Groups_Oplus__class_Oplus(
% 0.92/1.53 tc_Int_Oint, Z, c_Groups_Ouminus__class_Ouminus( tc_Int_Oint, Y ) ) ) }.
% 0.92/1.53 { c_Transcendental_Osin( c_Groups_Ominus__class_Ominus( tc_RealDef_Oreal, Y
% 0.92/1.53 , X ) ) = c_Groups_Ominus__class_Ominus( tc_RealDef_Oreal,
% 0.92/1.53 c_Groups_Otimes__class_Otimes( tc_RealDef_Oreal, c_Transcendental_Osin( Y
% 0.92/1.53 ), c_Transcendental_Ocos( X ) ), c_Groups_Otimes__class_Otimes(
% 0.92/1.53 tc_RealDef_Oreal, c_Transcendental_Ocos( Y ), c_Transcendental_Osin( X )
% 0.92/1.53 ) ) }.
% 0.92/1.53 { c_Transcendental_Osin( c_Groups_Ominus__class_Ominus( tc_RealDef_Oreal, Y
% 0.92/1.53 , X ) ) = c_Groups_Ominus__class_Ominus( tc_RealDef_Oreal,
% 0.92/1.53 c_Groups_Otimes__class_Otimes( tc_RealDef_Oreal, c_Transcendental_Ocos( X
% 0.92/1.53 ), c_Transcendental_Osin( Y ) ), c_Groups_Otimes__class_Otimes(
% 0.92/1.53 tc_RealDef_Oreal, c_Transcendental_Osin( X ), c_Transcendental_Ocos( Y )
% 0.92/1.53 ) ) }.
% 0.92/1.53 { ! c_Orderings_Oord__class_Oless( tc_Int_Oint, c_Groups_Ozero__class_Ozero
% 0.92/1.53 ( tc_Int_Oint ), X ), ! c_Orderings_Oord__class_Oless__eq( tc_Int_Oint,
% 0.92/1.53 c_Groups_Oplus__class_Oplus( tc_Int_Oint, X, Y ),
% 0.92/1.53 c_Groups_Ozero__class_Ozero( tc_Int_Oint ) ), c_Divides_Odiv__class_Omod
% 0.92/1.53 ( tc_Int_Oint, X, Y ) = c_Groups_Oplus__class_Oplus( tc_Int_Oint, X, Y )
% 0.92/1.53 }.
% 0.92/1.53 { ! class_Int_Onumber__ring( X ), c_Groups_Oplus__class_Oplus( X,
% 0.92/1.53 c_Int_Onumber__class_Onumber__of( X, T ), c_Groups_Ominus__class_Ominus(
% 0.92/1.53 X, Z, c_Int_Onumber__class_Onumber__of( X, Y ) ) ) =
% 0.92/1.53 c_Groups_Oplus__class_Oplus( X, c_Int_Onumber__class_Onumber__of( X,
% 0.92/1.53 c_Groups_Oplus__class_Oplus( tc_Int_Oint, T,
% 0.92/1.53 c_Groups_Ouminus__class_Ouminus( tc_Int_Oint, Y ) ) ), Z ) }.
% 0.92/1.53 { c_Transcendental_Ocos( c_Groups_Ominus__class_Ominus( tc_RealDef_Oreal, Y
% 0.92/1.53 , X ) ) = c_Groups_Oplus__class_Oplus( tc_RealDef_Oreal,
% 0.92/1.53 c_Groups_Otimes__class_Otimes( tc_RealDef_Oreal, c_Transcendental_Ocos( X
% 0.92/1.53 ), c_Transcendental_Ocos( Y ) ), c_Groups_Otimes__class_Otimes(
% 0.92/1.53 tc_RealDef_Oreal, c_Transcendental_Osin( X ), c_Transcendental_Osin( Y )
% 0.92/1.53 ) ) }.
% 0.92/1.53 { c_Transcendental_Ocos( c_Groups_Ominus__class_Ominus( tc_RealDef_Oreal, Y
% 0.92/1.53 , X ) ) = c_Groups_Oplus__class_Oplus( tc_RealDef_Oreal,
% 0.92/1.53 c_Groups_Otimes__class_Otimes( tc_RealDef_Oreal, c_Transcendental_Ocos( Y
% 0.92/1.53 ), c_Transcendental_Ocos( X ) ), c_Groups_Otimes__class_Otimes(
% 0.92/1.53 tc_RealDef_Oreal, c_Transcendental_Osin( Y ), c_Transcendental_Osin( X )
% 0.92/1.53 ) ) }.
% 0.92/1.53 { c_Transcendental_Ocos( c_Groups_Oplus__class_Oplus( tc_RealDef_Oreal, Y,
% 0.92/1.53 X ) ) = c_Groups_Ominus__class_Ominus( tc_RealDef_Oreal,
% 0.92/1.53 c_Groups_Otimes__class_Otimes( tc_RealDef_Oreal, c_Transcendental_Ocos( Y
% 0.92/1.53 ), c_Transcendental_Ocos( X ) ), c_Groups_Otimes__class_Otimes(
% 0.92/1.53 tc_RealDef_Oreal, c_Transcendental_Osin( Y ), c_Transcendental_Osin( X )
% 0.92/1.53 ) ) }.
% 0.92/1.53 { c_Divides_Odiv__class_Omod( tc_Int_Oint, c_Int_Onumber__class_Onumber__of
% 0.92/1.53 ( tc_Int_Oint, c_Int_OBit0( Y ) ), c_Int_Onumber__class_Onumber__of(
% 0.92/1.53 tc_Int_Oint, c_Int_OBit0( X ) ) ) = c_Groups_Otimes__class_Otimes(
% 0.92/1.53 tc_Int_Oint, c_Int_Onumber__class_Onumber__of( tc_Int_Oint, c_Int_OBit0(
% 0.92/1.53 c_Int_OBit1( c_Int_OPls ) ) ), c_Divides_Odiv__class_Omod( tc_Int_Oint,
% 0.92/1.53 c_Int_Onumber__class_Onumber__of( tc_Int_Oint, Y ),
% 0.92/1.53 c_Int_Onumber__class_Onumber__of( tc_Int_Oint, X ) ) ) }.
% 0.92/1.53 { ! Z = c_Groups_Oplus__class_Oplus( tc_Int_Oint,
% 0.92/1.53 c_Groups_Otimes__class_Otimes( tc_Int_Oint, Y, T ), X ), alpha107( X, Y )
% 0.92/1.53 , ! c_Orderings_Oord__class_Oless( tc_Int_Oint,
% 0.92/1.53 c_Groups_Ozero__class_Ozero( tc_Int_Oint ), Y ), Y =
% 0.92/1.53 c_Groups_Ozero__class_Ozero( tc_Int_Oint ), c_Divides_Odiv__class_Omod(
% 0.92/1.53 tc_Int_Oint, Z, Y ) = X }.
% 0.92/1.53 { ! Z = c_Groups_Oplus__class_Oplus( tc_Int_Oint,
% 0.92/1.53 c_Groups_Otimes__class_Otimes( tc_Int_Oint, Y, T ), X ), alpha107( X, Y )
% 0.92/1.53 , ! c_Orderings_Oord__class_Oless( tc_Int_Oint, Y, X ), !
% 0.92/1.53 c_Orderings_Oord__class_Oless__eq( tc_Int_Oint, X,
% 0.92/1.53 c_Groups_Ozero__class_Ozero( tc_Int_Oint ) ), Y =
% 0.92/1.53 c_Groups_Ozero__class_Ozero( tc_Int_Oint ), c_Divides_Odiv__class_Omod(
% 0.92/1.53 tc_Int_Oint, Z, Y ) = X }.
% 0.92/1.53 { ! alpha107( X, Y ), c_Orderings_Oord__class_Oless( tc_Int_Oint,
% 0.92/1.53 c_Groups_Ozero__class_Ozero( tc_Int_Oint ), Y ) }.
% 0.92/1.53 { ! alpha107( X, Y ), ! c_Orderings_Oord__class_Oless__eq( tc_Int_Oint,
% 0.92/1.53 c_Groups_Ozero__class_Ozero( tc_Int_Oint ), X ), !
% 0.92/1.53 c_Orderings_Oord__class_Oless( tc_Int_Oint, X, Y ) }.
% 0.92/1.53 { ! c_Orderings_Oord__class_Oless( tc_Int_Oint, c_Groups_Ozero__class_Ozero
% 0.92/1.53 ( tc_Int_Oint ), Y ), c_Orderings_Oord__class_Oless__eq( tc_Int_Oint,
% 0.92/1.53 c_Groups_Ozero__class_Ozero( tc_Int_Oint ), X ), alpha107( X, Y ) }.
% 0.92/1.53 { ! c_Orderings_Oord__class_Oless( tc_Int_Oint, c_Groups_Ozero__class_Ozero
% 0.92/1.53 ( tc_Int_Oint ), Y ), c_Orderings_Oord__class_Oless( tc_Int_Oint, X, Y )
% 0.92/1.53 , alpha107( X, Y ) }.
% 0.92/1.53 { ! c_Orderings_Oord__class_Oless( tc_Int_Oint, c_Groups_Ozero__class_Ozero
% 0.92/1.53 ( tc_Int_Oint ), X ), ! c_Orderings_Oord__class_Oless( tc_Int_Oint, Z, Y
% 0.92/1.53 ), ! c_Orderings_Oord__class_Oless__eq( tc_Int_Oint, Y,
% 0.92/1.53 c_Groups_Ozero__class_Ozero( tc_Int_Oint ) ),
% 0.92/1.53 c_Orderings_Oord__class_Oless__eq( tc_Int_Oint,
% 0.92/1.53 c_Groups_Oplus__class_Oplus( tc_Int_Oint, c_Groups_Otimes__class_Otimes(
% 0.92/1.53 tc_Int_Oint, Z, c_Divides_Odiv__class_Omod( tc_Int_Oint, T, X ) ), Y ),
% 0.92/1.53 c_Groups_Ozero__class_Ozero( tc_Int_Oint ) ) }.
% 0.92/1.53 { ! c_Orderings_Oord__class_Oless( tc_Int_Oint, c_Groups_Ozero__class_Ozero
% 0.92/1.53 ( tc_Int_Oint ), X ), ! c_Orderings_Oord__class_Oless( tc_Int_Oint, Z, Y
% 0.92/1.53 ), ! c_Orderings_Oord__class_Oless__eq( tc_Int_Oint, Y,
% 0.92/1.53 c_Groups_Ozero__class_Ozero( tc_Int_Oint ) ),
% 0.92/1.53 c_Orderings_Oord__class_Oless( tc_Int_Oint, c_Groups_Otimes__class_Otimes
% 0.92/1.53 ( tc_Int_Oint, Z, X ), c_Groups_Oplus__class_Oplus( tc_Int_Oint,
% 0.92/1.53 c_Groups_Otimes__class_Otimes( tc_Int_Oint, Z, c_Divides_Odiv__class_Omod
% 0.92/1.53 ( tc_Int_Oint, T, X ) ), Y ) ) }.
% 0.92/1.53 { ! c_Orderings_Oord__class_Oless( tc_Int_Oint, c_Groups_Ozero__class_Ozero
% 0.92/1.53 ( tc_Int_Oint ), X ), ! c_Orderings_Oord__class_Oless__eq( tc_Int_Oint,
% 0.92/1.53 c_Groups_Ozero__class_Ozero( tc_Int_Oint ), Y ), !
% 0.92/1.53 c_Orderings_Oord__class_Oless( tc_Int_Oint, Y, Z ),
% 0.92/1.53 c_Orderings_Oord__class_Oless( tc_Int_Oint, c_Groups_Oplus__class_Oplus(
% 0.92/1.53 tc_Int_Oint, c_Groups_Otimes__class_Otimes( tc_Int_Oint, Z,
% 0.92/1.53 c_Divides_Odiv__class_Omod( tc_Int_Oint, T, X ) ), Y ),
% 0.92/1.53 c_Groups_Otimes__class_Otimes( tc_Int_Oint, Z, X ) ) }.
% 0.92/1.53 { ! c_Orderings_Oord__class_Oless( tc_Int_Oint, c_Groups_Ozero__class_Ozero
% 0.92/1.53 ( tc_Int_Oint ), X ), ! c_Orderings_Oord__class_Oless__eq( tc_Int_Oint,
% 0.92/1.53 c_Groups_Ozero__class_Ozero( tc_Int_Oint ), Y ), !
% 0.92/1.53 c_Orderings_Oord__class_Oless( tc_Int_Oint, Y, Z ),
% 0.92/1.53 c_Orderings_Oord__class_Oless__eq( tc_Int_Oint,
% 0.92/1.53 c_Groups_Ozero__class_Ozero( tc_Int_Oint ), c_Groups_Oplus__class_Oplus(
% 0.92/1.53 tc_Int_Oint, c_Groups_Otimes__class_Otimes( tc_Int_Oint, Z,
% 0.92/1.53 c_Divides_Odiv__class_Omod( tc_Int_Oint, T, X ) ), Y ) ) }.
% 0.92/1.53 { ! hBOOL( hAPP( Z, c_Divides_Odiv__class_Omod( tc_Int_Oint, Y, X ) ) ),
% 0.92/1.53 alpha30( X, Y, Z ) }.
% 0.92/1.53 { ! hBOOL( hAPP( Z, c_Divides_Odiv__class_Omod( tc_Int_Oint, Y, X ) ) ),
% 0.92/1.53 alpha59( X, Y, Z ) }.
% 0.92/1.53 { ! alpha30( X, Y, Z ), ! alpha59( X, Y, Z ), hBOOL( hAPP( Z,
% 0.92/1.53 c_Divides_Odiv__class_Omod( tc_Int_Oint, Y, X ) ) ) }.
% 0.92/1.53 { ! alpha59( X, Y, Z ), alpha72( X, Y, Z ) }.
% 0.92/1.53 { ! alpha59( X, Y, Z ), alpha85( X, Y, Z ) }.
% 0.92/1.53 { ! alpha72( X, Y, Z ), ! alpha85( X, Y, Z ), alpha59( X, Y, Z ) }.
% 0.92/1.53 { ! alpha85( X, Y, Z ), ! c_Orderings_Oord__class_Oless( tc_Int_Oint, X,
% 0.92/1.53 c_Groups_Ozero__class_Ozero( tc_Int_Oint ) ), alpha99( X, Y, Z ) }.
% 0.92/1.53 { c_Orderings_Oord__class_Oless( tc_Int_Oint, X,
% 0.92/1.53 c_Groups_Ozero__class_Ozero( tc_Int_Oint ) ), alpha85( X, Y, Z ) }.
% 0.92/1.53 { ! alpha99( X, Y, Z ), alpha85( X, Y, Z ) }.
% 0.92/1.53 { ! alpha99( X, Y, Z ), ! alpha101( X, Y, T ), hBOOL( hAPP( Z, T ) ) }.
% 0.92/1.53 { ! hBOOL( hAPP( Z, skol12( T, U, Z ) ) ), alpha99( X, Y, Z ) }.
% 0.92/1.53 { alpha101( X, Y, skol12( X, Y, Z ) ), alpha99( X, Y, Z ) }.
% 0.92/1.53 { ! alpha101( X, Y, Z ), c_Orderings_Oord__class_Oless( tc_Int_Oint, X, Z )
% 0.92/1.53 }.
% 0.92/1.53 { ! alpha101( X, Y, Z ), alpha103( X, Y, Z ) }.
% 0.92/1.53 { ! c_Orderings_Oord__class_Oless( tc_Int_Oint, X, Z ), ! alpha103( X, Y, Z
% 0.92/1.53 ), alpha101( X, Y, Z ) }.
% 0.92/1.53 { ! alpha103( X, Y, Z ), c_Orderings_Oord__class_Oless__eq( tc_Int_Oint, Z
% 0.92/1.53 , c_Groups_Ozero__class_Ozero( tc_Int_Oint ) ) }.
% 0.92/1.53 { ! alpha103( X, Y, Z ), Y = c_Groups_Oplus__class_Oplus( tc_Int_Oint,
% 0.92/1.53 c_Groups_Otimes__class_Otimes( tc_Int_Oint, X, skol13( X, Y, Z ) ), Z ) }
% 0.92/1.53 .
% 0.92/1.53 { ! c_Orderings_Oord__class_Oless__eq( tc_Int_Oint, Z,
% 0.92/1.53 c_Groups_Ozero__class_Ozero( tc_Int_Oint ) ), ! Y =
% 0.92/1.53 c_Groups_Oplus__class_Oplus( tc_Int_Oint, c_Groups_Otimes__class_Otimes(
% 0.92/1.53 tc_Int_Oint, X, T ), Z ), alpha103( X, Y, Z ) }.
% 0.92/1.53 { ! alpha72( X, Y, Z ), ! c_Orderings_Oord__class_Oless( tc_Int_Oint,
% 0.92/1.53 c_Groups_Ozero__class_Ozero( tc_Int_Oint ), X ), alpha86( X, Y, Z ) }.
% 0.92/1.53 { c_Orderings_Oord__class_Oless( tc_Int_Oint, c_Groups_Ozero__class_Ozero(
% 0.92/1.53 tc_Int_Oint ), X ), alpha72( X, Y, Z ) }.
% 0.92/1.53 { ! alpha86( X, Y, Z ), alpha72( X, Y, Z ) }.
% 0.92/1.53 { ! alpha86( X, Y, Z ), ! alpha100( X, Y, T ), hBOOL( hAPP( Z, T ) ) }.
% 0.92/1.53 { ! hBOOL( hAPP( Z, skol14( T, U, Z ) ) ), alpha86( X, Y, Z ) }.
% 0.92/1.53 { alpha100( X, Y, skol14( X, Y, Z ) ), alpha86( X, Y, Z ) }.
% 0.92/1.53 { ! alpha100( X, Y, Z ), c_Orderings_Oord__class_Oless__eq( tc_Int_Oint,
% 0.92/1.53 c_Groups_Ozero__class_Ozero( tc_Int_Oint ), Z ) }.
% 0.92/1.53 { ! alpha100( X, Y, Z ), alpha102( X, Y, Z ) }.
% 0.92/1.53 { ! c_Orderings_Oord__class_Oless__eq( tc_Int_Oint,
% 0.92/1.53 c_Groups_Ozero__class_Ozero( tc_Int_Oint ), Z ), ! alpha102( X, Y, Z ),
% 0.92/1.53 alpha100( X, Y, Z ) }.
% 0.92/1.53 { ! alpha102( X, Y, Z ), c_Orderings_Oord__class_Oless( tc_Int_Oint, Z, X )
% 0.92/1.53 }.
% 0.92/1.53 { ! alpha102( X, Y, Z ), Y = c_Groups_Oplus__class_Oplus( tc_Int_Oint,
% 0.92/1.53 c_Groups_Otimes__class_Otimes( tc_Int_Oint, X, skol15( X, Y, Z ) ), Z ) }
% 0.92/1.53 .
% 0.92/1.53 { ! c_Orderings_Oord__class_Oless( tc_Int_Oint, Z, X ), ! Y =
% 0.92/1.53 c_Groups_Oplus__class_Oplus( tc_Int_Oint, c_Groups_Otimes__class_Otimes(
% 0.92/1.53 tc_Int_Oint, X, T ), Z ), alpha102( X, Y, Z ) }.
% 0.92/1.53 { ! alpha30( X, Y, Z ), ! X = c_Groups_Ozero__class_Ozero( tc_Int_Oint ),
% 0.92/1.53 hBOOL( hAPP( Z, Y ) ) }.
% 0.92/1.53 { X = c_Groups_Ozero__class_Ozero( tc_Int_Oint ), alpha30( X, Y, Z ) }.
% 0.92/1.53 { ! hBOOL( hAPP( Z, Y ) ), alpha30( X, Y, Z ) }.
% 0.92/1.53 { c_Divides_Odiv__class_Omod( tc_Int_Oint, X,
% 0.92/1.53 c_Int_Onumber__class_Onumber__of( tc_Int_Oint, c_Int_OBit0( c_Int_OBit1(
% 0.92/1.53 c_Int_OPls ) ) ) ) = c_Groups_Ozero__class_Ozero( tc_Int_Oint ),
% 0.92/1.53 c_Divides_Odiv__class_Omod( tc_Int_Oint, X,
% 0.92/1.53 c_Int_Onumber__class_Onumber__of( tc_Int_Oint, c_Int_OBit0( c_Int_OBit1(
% 0.92/1.53 c_Int_OPls ) ) ) ) = c_Groups_Oone__class_Oone( tc_Int_Oint ) }.
% 0.92/1.53 { ! c_Divides_Odiv__class_Omod( tc_Int_Oint, X,
% 0.92/1.53 c_Int_Onumber__class_Onumber__of( tc_Int_Oint, c_Int_OBit0( c_Int_OBit1(
% 0.92/1.53 c_Int_OPls ) ) ) ) = c_Groups_Oone__class_Oone( tc_Int_Oint ), !
% 0.92/1.53 c_Divides_Odiv__class_Omod( tc_Int_Oint, X,
% 0.92/1.53 c_Int_Onumber__class_Onumber__of( tc_Int_Oint, c_Int_OBit0( c_Int_OBit1(
% 0.92/1.53 c_Int_OPls ) ) ) ) = c_Groups_Ozero__class_Ozero( tc_Int_Oint ) }.
% 0.92/1.53 { ! class_Int_Onumber__ring( X ), c_Groups_Ominus__class_Ominus( X,
% 0.92/1.53 c_Groups_Oone__class_Oone( X ), c_Int_Onumber__class_Onumber__of( X, Y )
% 0.92/1.53 ) = c_Int_Onumber__class_Onumber__of( X, c_Groups_Oplus__class_Oplus(
% 0.92/1.53 tc_Int_Oint, c_Int_OBit1( c_Int_OPls ), c_Groups_Ouminus__class_Ouminus(
% 0.92/1.53 tc_Int_Oint, Y ) ) ) }.
% 0.92/1.53 { ! class_Int_Onumber__ring( X ), c_Groups_Ominus__class_Ominus( X,
% 0.92/1.53 c_Int_Onumber__class_Onumber__of( X, Y ), c_Groups_Oone__class_Oone( X )
% 0.92/1.53 ) = c_Int_Onumber__class_Onumber__of( X, c_Groups_Oplus__class_Oplus(
% 0.92/1.53 tc_Int_Oint, Y, c_Groups_Ouminus__class_Ouminus( tc_Int_Oint, c_Int_OBit1
% 0.92/1.53 ( c_Int_OPls ) ) ) ) }.
% 0.92/1.53 { c_Groups_Ominus__class_Ominus( tc_RealDef_Oreal,
% 0.92/1.53 c_Rings_Oinverse__class_Odivide( tc_RealDef_Oreal,
% 0.92/1.53 c_Groups_Oplus__class_Oplus( tc_RealDef_Oreal, Y, X ),
% 0.92/1.53 c_Int_Onumber__class_Onumber__of( tc_RealDef_Oreal, c_Int_OBit0(
% 0.92/1.53 c_Int_OBit1( c_Int_OPls ) ) ) ), Y ) = c_Rings_Oinverse__class_Odivide(
% 0.92/1.53 tc_RealDef_Oreal, c_Groups_Ominus__class_Ominus( tc_RealDef_Oreal, X, Y )
% 0.92/1.53 , c_Int_Onumber__class_Onumber__of( tc_RealDef_Oreal, c_Int_OBit0(
% 0.92/1.53 c_Int_OBit1( c_Int_OPls ) ) ) ) }.
% 0.92/1.53 { c_Groups_Ominus__class_Ominus( tc_RealDef_Oreal,
% 0.92/1.53 c_Rings_Oinverse__class_Odivide( tc_RealDef_Oreal,
% 0.92/1.53 c_Groups_Oplus__class_Oplus( tc_RealDef_Oreal, Y, X ),
% 0.92/1.53 c_Int_Onumber__class_Onumber__of( tc_RealDef_Oreal, c_Int_OBit0(
% 0.92/1.53 c_Int_OBit1( c_Int_OPls ) ) ) ), X ) = c_Rings_Oinverse__class_Odivide(
% 0.92/1.53 tc_RealDef_Oreal, c_Groups_Ominus__class_Ominus( tc_RealDef_Oreal, Y, X )
% 0.92/1.53 , c_Int_Onumber__class_Onumber__of( tc_RealDef_Oreal, c_Int_OBit0(
% 0.92/1.53 c_Int_OBit1( c_Int_OPls ) ) ) ) }.
% 0.92/1.53 { c_Transcendental_Ocos( X ) = c_Groups_Ozero__class_Ozero(
% 0.92/1.53 tc_RealDef_Oreal ), c_Transcendental_Ocos( Y ) =
% 0.92/1.53 c_Groups_Ozero__class_Ozero( tc_RealDef_Oreal ), c_Transcendental_Ocos(
% 0.92/1.53 c_Groups_Oplus__class_Oplus( tc_RealDef_Oreal, X, Y ) ) =
% 0.92/1.53 c_Groups_Ozero__class_Ozero( tc_RealDef_Oreal ), c_Transcendental_Otan(
% 0.92/1.53 c_Groups_Oplus__class_Oplus( tc_RealDef_Oreal, X, Y ) ) =
% 0.92/1.53 c_Rings_Oinverse__class_Odivide( tc_RealDef_Oreal,
% 0.92/1.53 c_Groups_Oplus__class_Oplus( tc_RealDef_Oreal, c_Transcendental_Otan( X )
% 0.92/1.53 , c_Transcendental_Otan( Y ) ), c_Groups_Ominus__class_Ominus(
% 0.92/1.53 tc_RealDef_Oreal, c_Groups_Oone__class_Oone( tc_RealDef_Oreal ),
% 0.92/1.53 c_Groups_Otimes__class_Otimes( tc_RealDef_Oreal, c_Transcendental_Otan( X
% 0.92/1.53 ), c_Transcendental_Otan( Y ) ) ) ) }.
% 0.92/1.53 { c_Transcendental_Ocos( X ) = c_Groups_Ozero__class_Ozero(
% 0.92/1.53 tc_RealDef_Oreal ), c_Transcendental_Ocos( Y ) =
% 0.92/1.53 c_Groups_Ozero__class_Ozero( tc_RealDef_Oreal ),
% 0.92/1.53 c_Groups_Ominus__class_Ominus( tc_RealDef_Oreal,
% 0.92/1.53 c_Groups_Oone__class_Oone( tc_RealDef_Oreal ),
% 0.92/1.53 c_Groups_Otimes__class_Otimes( tc_RealDef_Oreal, c_Transcendental_Otan( X
% 0.92/1.53 ), c_Transcendental_Otan( Y ) ) ) = c_Rings_Oinverse__class_Odivide(
% 0.92/1.53 tc_RealDef_Oreal, c_Transcendental_Ocos( c_Groups_Oplus__class_Oplus(
% 0.92/1.53 tc_RealDef_Oreal, X, Y ) ), c_Groups_Otimes__class_Otimes(
% 0.92/1.53 tc_RealDef_Oreal, c_Transcendental_Ocos( X ), c_Transcendental_Ocos( Y )
% 0.92/1.53 ) ) }.
% 0.92/1.53 { c_Transcendental_Ocos( X ) = c_Transcendental_Osin(
% 0.92/1.53 c_Groups_Ominus__class_Ominus( tc_RealDef_Oreal,
% 0.92/1.53 c_Rings_Oinverse__class_Odivide( tc_RealDef_Oreal, c_Transcendental_Opi,
% 0.92/1.53 c_Int_Onumber__class_Onumber__of( tc_RealDef_Oreal, c_Int_OBit0(
% 0.92/1.53 c_Int_OBit1( c_Int_OPls ) ) ) ), X ) ) }.
% 0.92/1.53 { c_Transcendental_Osin( X ) = c_Transcendental_Ocos(
% 0.92/1.53 c_Groups_Ominus__class_Ominus( tc_RealDef_Oreal,
% 0.92/1.53 c_Rings_Oinverse__class_Odivide( tc_RealDef_Oreal, c_Transcendental_Opi,
% 0.92/1.53 c_Int_Onumber__class_Onumber__of( tc_RealDef_Oreal, c_Int_OBit0(
% 0.92/1.53 c_Int_OBit1( c_Int_OPls ) ) ) ), X ) ) }.
% 0.92/1.53 { c_Rings_Oinverse__class_Odivide( tc_RealDef_Oreal,
% 0.92/1.53 c_Groups_Oone__class_Oone( tc_RealDef_Oreal ), c_Transcendental_Otan( X )
% 0.92/1.53 ) = c_Transcendental_Otan( c_Groups_Ominus__class_Ominus(
% 0.92/1.53 tc_RealDef_Oreal, c_Rings_Oinverse__class_Odivide( tc_RealDef_Oreal,
% 0.92/1.53 c_Transcendental_Opi, c_Int_Onumber__class_Onumber__of( tc_RealDef_Oreal
% 0.92/1.53 , c_Int_OBit0( c_Int_OBit1( c_Int_OPls ) ) ) ), X ) ) }.
% 0.92/1.53 { X = c_Groups_Ozero__class_Ozero( tc_RealDef_Oreal ),
% 0.92/1.53 c_Transcendental_Oarctan( c_Rings_Oinverse__class_Odivide(
% 0.92/1.53 tc_RealDef_Oreal, c_Groups_Oone__class_Oone( tc_RealDef_Oreal ), X ) ) =
% 0.92/1.53 c_Groups_Ominus__class_Ominus( tc_RealDef_Oreal,
% 0.92/1.53 c_Rings_Oinverse__class_Odivide( tc_RealDef_Oreal,
% 0.92/1.53 c_Groups_Otimes__class_Otimes( tc_RealDef_Oreal,
% 0.92/1.53 c_Groups_Osgn__class_Osgn( tc_RealDef_Oreal, X ), c_Transcendental_Opi )
% 0.92/1.53 , c_Int_Onumber__class_Onumber__of( tc_RealDef_Oreal, c_Int_OBit0(
% 0.92/1.53 c_Int_OBit1( c_Int_OPls ) ) ) ), c_Transcendental_Oarctan( X ) ) }.
% 0.92/1.53 { c_Transcendental_Ocos( X ) = c_Groups_Ozero__class_Ozero(
% 0.92/1.53 tc_RealDef_Oreal ), c_Transcendental_Ocos( c_Groups_Otimes__class_Otimes
% 0.92/1.53 ( tc_RealDef_Oreal, c_Int_Onumber__class_Onumber__of( tc_RealDef_Oreal,
% 0.92/1.53 c_Int_OBit0( c_Int_OBit1( c_Int_OPls ) ) ), X ) ) =
% 0.92/1.53 c_Groups_Ozero__class_Ozero( tc_RealDef_Oreal ), c_Transcendental_Otan(
% 0.92/1.53 c_Groups_Otimes__class_Otimes( tc_RealDef_Oreal,
% 0.92/1.53 c_Int_Onumber__class_Onumber__of( tc_RealDef_Oreal, c_Int_OBit0(
% 0.92/1.53 c_Int_OBit1( c_Int_OPls ) ) ), X ) ) = c_Rings_Oinverse__class_Odivide(
% 0.92/1.53 tc_RealDef_Oreal, c_Groups_Otimes__class_Otimes( tc_RealDef_Oreal,
% 0.92/1.53 c_Int_Onumber__class_Onumber__of( tc_RealDef_Oreal, c_Int_OBit0(
% 0.92/1.53 c_Int_OBit1( c_Int_OPls ) ) ), c_Transcendental_Otan( X ) ),
% 0.92/1.53 c_Groups_Ominus__class_Ominus( tc_RealDef_Oreal,
% 0.92/1.53 c_Groups_Oone__class_Oone( tc_RealDef_Oreal ),
% 0.92/1.53 c_Power_Opower__class_Opower( tc_RealDef_Oreal, c_Transcendental_Otan( X
% 0.92/1.53 ), c_Int_Onumber__class_Onumber__of( tc_Nat_Onat, c_Int_OBit0(
% 0.92/1.53 c_Int_OBit1( c_Int_OPls ) ) ) ) ) ) }.
% 0.92/1.53 { c_Orderings_Oord__class_Omin( tc_Nat_Onat, c_Groups_Ominus__class_Ominus
% 0.92/1.53 ( tc_Nat_Onat, Z, Y ), c_Groups_Ominus__class_Ominus( tc_Nat_Onat, X, Y )
% 0.92/1.53 ) = c_Groups_Ominus__class_Ominus( tc_Nat_Onat,
% 0.92/1.53 c_Orderings_Oord__class_Omin( tc_Nat_Onat, Z, X ), Y ) }.
% 0.92/1.53 { c_Groups_Ominus__class_Ominus( tc_Int_Oint, c_Int_OBit1( Y ), c_Int_OBit1
% 0.92/1.53 ( X ) ) = c_Int_OBit0( c_Groups_Ominus__class_Ominus( tc_Int_Oint, Y, X )
% 0.92/1.53 ) }.
% 0.92/1.53 { c_Groups_Ominus__class_Ominus( tc_Int_Oint, c_Int_OBit1( Y ), c_Int_OBit0
% 0.92/1.53 ( X ) ) = c_Int_OBit1( c_Groups_Ominus__class_Ominus( tc_Int_Oint, Y, X )
% 0.92/1.53 ) }.
% 0.92/1.53 { c_Groups_Ominus__class_Ominus( tc_Int_Oint, c_Int_OPls, c_Int_OBit0( X )
% 0.92/1.53 ) = c_Int_OBit0( c_Groups_Ominus__class_Ominus( tc_Int_Oint, c_Int_OPls
% 0.92/1.53 , X ) ) }.
% 0.92/1.53 { ! c_Orderings_Oord__class_Oless( tc_Int_Oint, Y, X ),
% 0.92/1.53 c_Orderings_Oord__class_Oless( tc_Int_Oint, c_Groups_Ominus__class_Ominus
% 0.92/1.53 ( tc_Int_Oint, Y, X ), c_Groups_Ozero__class_Ozero( tc_Int_Oint ) ) }.
% 0.92/1.53 { ! c_Orderings_Oord__class_Oless( tc_Int_Oint,
% 0.92/1.53 c_Groups_Ominus__class_Ominus( tc_Int_Oint, Y, X ),
% 0.92/1.53 c_Groups_Ozero__class_Ozero( tc_Int_Oint ) ),
% 0.92/1.53 c_Orderings_Oord__class_Oless( tc_Int_Oint, Y, X ) }.
% 0.92/1.53 { ! c_Orderings_Oord__class_Oless( tc_Nat_Onat, c_Groups_Ozero__class_Ozero
% 0.92/1.53 ( tc_Nat_Onat ), X ), ! c_Orderings_Oord__class_Oless( tc_Nat_Onat,
% 0.92/1.53 c_Groups_Ozero__class_Ozero( tc_Nat_Onat ), Y ),
% 0.92/1.53 c_Orderings_Oord__class_Oless( tc_Nat_Onat, c_Groups_Ominus__class_Ominus
% 0.92/1.53 ( tc_Nat_Onat, Y, X ), Y ) }.
% 0.92/1.53 { ! c_Orderings_Oord__class_Oless( tc_Nat_Onat, c_Groups_Ozero__class_Ozero
% 0.92/1.53 ( tc_Nat_Onat ), c_Groups_Ominus__class_Ominus( tc_Nat_Onat, Y, X ) ),
% 0.92/1.53 c_Orderings_Oord__class_Oless( tc_Nat_Onat, X, Y ) }.
% 0.92/1.53 { ! c_Orderings_Oord__class_Oless( tc_Nat_Onat, X, Y ),
% 0.92/1.53 c_Orderings_Oord__class_Oless( tc_Nat_Onat, c_Groups_Ozero__class_Ozero(
% 0.92/1.53 tc_Nat_Onat ), c_Groups_Ominus__class_Ominus( tc_Nat_Onat, Y, X ) ) }.
% 0.92/1.53 { ! c_Orderings_Oord__class_Oless__eq( tc_Nat_Onat, Y, X ),
% 0.92/1.53 c_Groups_Ominus__class_Ominus( tc_Nat_Onat, Y, X ) =
% 0.92/1.53 c_Groups_Ozero__class_Ozero( tc_Nat_Onat ) }.
% 0.92/1.53 { ! c_Groups_Ominus__class_Ominus( tc_Nat_Onat, Y, X ) =
% 0.92/1.53 c_Groups_Ozero__class_Ozero( tc_Nat_Onat ),
% 0.92/1.53 c_Orderings_Oord__class_Oless__eq( tc_Nat_Onat, Y, X ) }.
% 0.92/1.53 { ! c_Orderings_Oord__class_Oless__eq( tc_Nat_Onat, Y, X ),
% 0.92/1.53 c_Groups_Ominus__class_Ominus( tc_Nat_Onat, Y, X ) =
% 0.92/1.53 c_Groups_Ozero__class_Ozero( tc_Nat_Onat ) }.
% 0.92/1.53 { ! c_Orderings_Oord__class_Oless__eq( tc_Nat_Onat, Y, X ), !
% 0.92/1.53 c_Orderings_Oord__class_Oless__eq( tc_Nat_Onat, Y, Z ), !
% 0.92/1.53 c_Orderings_Oord__class_Oless( tc_Nat_Onat, c_Groups_Ominus__class_Ominus
% 0.92/1.53 ( tc_Nat_Onat, X, Y ), c_Groups_Ominus__class_Ominus( tc_Nat_Onat, Z, Y )
% 0.92/1.53 ), c_Orderings_Oord__class_Oless( tc_Nat_Onat, X, Z ) }.
% 0.92/1.53 { ! c_Orderings_Oord__class_Oless__eq( tc_Nat_Onat, Y, X ), !
% 0.92/1.53 c_Orderings_Oord__class_Oless__eq( tc_Nat_Onat, Y, Z ), !
% 0.92/1.53 c_Orderings_Oord__class_Oless( tc_Nat_Onat, X, Z ),
% 0.92/1.53 c_Orderings_Oord__class_Oless( tc_Nat_Onat, c_Groups_Ominus__class_Ominus
% 0.92/1.53 ( tc_Nat_Onat, X, Y ), c_Groups_Ominus__class_Ominus( tc_Nat_Onat, Z, Y )
% 0.92/1.53 ) }.
% 0.92/1.53 { ! c_Orderings_Oord__class_Oless( tc_Nat_Onat, Y, X ), !
% 0.92/1.53 c_Orderings_Oord__class_Oless__eq( tc_Nat_Onat, Z, Y ),
% 0.92/1.53 c_Orderings_Oord__class_Oless( tc_Nat_Onat, c_Groups_Ominus__class_Ominus
% 0.92/1.53 ( tc_Nat_Onat, Y, Z ), c_Groups_Ominus__class_Ominus( tc_Nat_Onat, X, Z )
% 0.92/1.53 ) }.
% 0.92/1.53 { c_Orderings_Oord__class_Oless__eq( tc_Nat_Onat,
% 0.92/1.53 c_Groups_Ominus__class_Ominus( tc_Nat_Onat, Y, X ), Y ) }.
% 0.92/1.53 { ! c_Orderings_Oord__class_Oless__eq( tc_Nat_Onat, Y, X ),
% 0.92/1.53 c_Orderings_Oord__class_Oless__eq( tc_Nat_Onat,
% 0.92/1.53 c_Groups_Ominus__class_Ominus( tc_Nat_Onat, Z, X ),
% 0.92/1.53 c_Groups_Ominus__class_Ominus( tc_Nat_Onat, Z, Y ) ) }.
% 0.92/1.53 { ! c_Orderings_Oord__class_Oless__eq( tc_Nat_Onat, Y, X ),
% 0.92/1.53 c_Orderings_Oord__class_Oless__eq( tc_Nat_Onat,
% 0.92/1.53 c_Groups_Ominus__class_Ominus( tc_Nat_Onat, Y, Z ),
% 0.92/1.53 c_Groups_Ominus__class_Ominus( tc_Nat_Onat, X, Z ) ) }.
% 0.92/1.53 { ! c_Orderings_Oord__class_Oless__eq( tc_Nat_Onat, Y, X ),
% 0.92/1.53 c_Groups_Ominus__class_Ominus( tc_Nat_Onat, X,
% 0.92/1.53 c_Groups_Ominus__class_Ominus( tc_Nat_Onat, X, Y ) ) = Y }.
% 0.92/1.53 { ! c_Orderings_Oord__class_Oless__eq( tc_Nat_Onat, Y, X ), !
% 0.92/1.53 c_Orderings_Oord__class_Oless__eq( tc_Nat_Onat, Y, Z ), !
% 0.92/1.53 c_Groups_Ominus__class_Ominus( tc_Nat_Onat, X, Y ) =
% 0.92/1.53 c_Groups_Ominus__class_Ominus( tc_Nat_Onat, Z, Y ), X = Z }.
% 0.92/1.53 { ! c_Orderings_Oord__class_Oless__eq( tc_Nat_Onat, Y, X ), !
% 0.92/1.53 c_Orderings_Oord__class_Oless__eq( tc_Nat_Onat, Y, Z ), ! X = Z,
% 0.92/1.53 c_Groups_Ominus__class_Ominus( tc_Nat_Onat, X, Y ) =
% 0.92/1.53 c_Groups_Ominus__class_Ominus( tc_Nat_Onat, Z, Y ) }.
% 0.92/1.53 { ! c_Orderings_Oord__class_Oless__eq( tc_Nat_Onat, Y, X ), !
% 0.92/1.53 c_Orderings_Oord__class_Oless__eq( tc_Nat_Onat, Y, Z ),
% 0.92/1.53 c_Groups_Ominus__class_Ominus( tc_Nat_Onat, c_Groups_Ominus__class_Ominus
% 0.92/1.53 ( tc_Nat_Onat, X, Y ), c_Groups_Ominus__class_Ominus( tc_Nat_Onat, Z, Y )
% 0.92/1.53 ) = c_Groups_Ominus__class_Ominus( tc_Nat_Onat, X, Z ) }.
% 0.92/1.53 { ! c_Orderings_Oord__class_Oless__eq( tc_Nat_Onat, Y, X ), !
% 0.92/1.53 c_Orderings_Oord__class_Oless__eq( tc_Nat_Onat, Y, Z ), !
% 0.92/1.53 c_Orderings_Oord__class_Oless__eq( tc_Nat_Onat,
% 0.92/1.53 c_Groups_Ominus__class_Ominus( tc_Nat_Onat, X, Y ),
% 0.92/1.53 c_Groups_Ominus__class_Ominus( tc_Nat_Onat, Z, Y ) ),
% 0.92/1.53 c_Orderings_Oord__class_Oless__eq( tc_Nat_Onat, X, Z ) }.
% 0.92/1.53 { ! c_Orderings_Oord__class_Oless__eq( tc_Nat_Onat, Y, X ), !
% 0.92/1.53 c_Orderings_Oord__class_Oless__eq( tc_Nat_Onat, Y, Z ), !
% 0.92/1.53 c_Orderings_Oord__class_Oless__eq( tc_Nat_Onat, X, Z ),
% 0.92/1.53 c_Orderings_Oord__class_Oless__eq( tc_Nat_Onat,
% 0.92/1.53 c_Groups_Ominus__class_Ominus( tc_Nat_Onat, X, Y ),
% 0.92/1.53 c_Groups_Ominus__class_Ominus( tc_Nat_Onat, Z, Y ) ) }.
% 0.92/1.53 { ! c_Orderings_Oord__class_Oless( tc_Nat_Onat, Y, X ), !
% 0.92/1.53 c_Orderings_Oord__class_Oless( tc_Nat_Onat, Y, Z ),
% 0.92/1.53 c_Orderings_Oord__class_Oless( tc_Nat_Onat, c_Groups_Ominus__class_Ominus
% 0.92/1.53 ( tc_Nat_Onat, Z, X ), c_Groups_Ominus__class_Ominus( tc_Nat_Onat, Z, Y )
% 0.92/1.53 ) }.
% 0.92/1.53 { ! c_Orderings_Oord__class_Oless( tc_Nat_Onat, Y, X ),
% 0.92/1.53 c_Orderings_Oord__class_Oless( tc_Nat_Onat, c_Groups_Ominus__class_Ominus
% 0.92/1.53 ( tc_Nat_Onat, Y, Z ), X ) }.
% 0.92/1.53 { ! c_Groups_Ominus__class_Ominus( tc_Nat_Onat, Y, X ) =
% 0.92/1.53 c_Groups_Ozero__class_Ozero( tc_Nat_Onat ), !
% 0.92/1.53 c_Groups_Ominus__class_Ominus( tc_Nat_Onat, X, Y ) =
% 0.92/1.53 c_Groups_Ozero__class_Ozero( tc_Nat_Onat ), Y = X }.
% 0.92/1.53 { c_Groups_Ominus__class_Ominus( tc_Nat_Onat, X, X ) =
% 0.92/1.53 c_Groups_Ozero__class_Ozero( tc_Nat_Onat ) }.
% 0.92/1.53 { c_Groups_Ominus__class_Ominus( tc_Nat_Onat, X,
% 0.92/1.53 c_Groups_Ozero__class_Ozero( tc_Nat_Onat ) ) = X }.
% 0.92/1.53 { ! class_Lattices_Oboolean__algebra( X ), class_Lattices_Oboolean__algebra
% 0.92/1.53 ( tc_fun( Y, X ) ) }.
% 0.92/1.53 { ! class_Orderings_Opreorder( X ), class_Orderings_Opreorder( tc_fun( Y, X
% 0.92/1.53 ) ) }.
% 0.92/1.53 { ! class_Orderings_Oorder( X ), class_Orderings_Oorder( tc_fun( Y, X ) ) }
% 0.92/1.53 .
% 0.92/1.53 { ! class_Orderings_Oord( X ), class_Orderings_Oord( tc_fun( Y, X ) ) }.
% 0.92/1.53 { ! class_Groups_Ouminus( X ), class_Groups_Ouminus( tc_fun( Y, X ) ) }.
% 0.92/1.53 { ! class_Groups_Ominus( X ), class_Groups_Ominus( tc_fun( Y, X ) ) }.
% 0.92/1.53 { class_Semiring__Normalization_Ocomm__semiring__1__cancel__crossproduct(
% 0.92/1.53 tc_Int_Oint ) }.
% 0.92/1.53 { class_Groups_Oordered__cancel__ab__semigroup__add( tc_Int_Oint ) }.
% 0.92/1.53 { class_Groups_Oordered__ab__semigroup__add__imp__le( tc_Int_Oint ) }.
% 0.92/1.53 { class_Rings_Olinordered__comm__semiring__strict( tc_Int_Oint ) }.
% 0.92/1.53 { class_Rings_Olinordered__semiring__1__strict( tc_Int_Oint ) }.
% 0.92/1.53 { class_Rings_Olinordered__semiring__strict( tc_Int_Oint ) }.
% 0.92/1.53 { class_Groups_Oordered__ab__semigroup__add( tc_Int_Oint ) }.
% 0.92/1.53 { class_Groups_Oordered__comm__monoid__add( tc_Int_Oint ) }.
% 0.92/1.53 { class_Groups_Olinordered__ab__group__add( tc_Int_Oint ) }.
% 0.92/1.53 { class_Groups_Ocancel__ab__semigroup__add( tc_Int_Oint ) }.
% 0.92/1.53 { class_Rings_Oring__1__no__zero__divisors( tc_Int_Oint ) }.
% 0.92/1.53 { class_Rings_Oordered__cancel__semiring( tc_Int_Oint ) }.
% 0.92/1.53 { class_Rings_Olinordered__ring__strict( tc_Int_Oint ) }.
% 0.92/1.53 { class_Rings_Oring__no__zero__divisors( tc_Int_Oint ) }.
% 0.92/1.53 { class_Rings_Oordered__comm__semiring( tc_Int_Oint ) }.
% 0.92/1.53 { class_Rings_Olinordered__semiring__1( tc_Int_Oint ) }.
% 0.92/1.53 { class_Groups_Oordered__ab__group__add( tc_Int_Oint ) }.
% 0.92/1.53 { class_Groups_Ocancel__semigroup__add( tc_Int_Oint ) }.
% 0.92/1.53 { class_Rings_Olinordered__semiring( tc_Int_Oint ) }.
% 0.92/1.53 { class_Rings_Olinordered__semidom( tc_Int_Oint ) }.
% 0.92/1.53 { class_Groups_Oab__semigroup__mult( tc_Int_Oint ) }.
% 0.92/1.53 { class_Groups_Ocomm__monoid__mult( tc_Int_Oint ) }.
% 0.92/1.53 { class_Groups_Oab__semigroup__add( tc_Int_Oint ) }.
% 0.92/1.53 { class_Rings_Oordered__semiring( tc_Int_Oint ) }.
% 0.92/1.53 { class_Rings_Ono__zero__divisors( tc_Int_Oint ) }.
% 0.92/1.53 { class_Groups_Ocomm__monoid__add( tc_Int_Oint ) }.
% 0.92/1.53 { class_Rings_Olinordered__ring( tc_Int_Oint ) }.
% 0.92/1.53 { class_Rings_Olinordered__idom( tc_Int_Oint ) }.
% 0.92/1.53 { class_Rings_Ocomm__semiring__1( tc_Int_Oint ) }.
% 0.92/1.53 { class_Divides_Osemiring__div( tc_Int_Oint ) }.
% 0.92/1.53 { class_Rings_Ocomm__semiring( tc_Int_Oint ) }.
% 0.92/1.53 { class_Groups_Oab__group__add( tc_Int_Oint ) }.
% 0.92/1.53 { class_Rings_Ozero__neq__one( tc_Int_Oint ) }.
% 0.92/1.53 { class_Rings_Oordered__ring( tc_Int_Oint ) }.
% 0.92/1.53 { class_Orderings_Opreorder( tc_Int_Oint ) }.
% 0.92/1.53 { class_Orderings_Olinorder( tc_Int_Oint ) }.
% 0.92/1.53 { class_Groups_Omonoid__mult( tc_Int_Oint ) }.
% 0.92/1.53 { class_Rings_Ocomm__ring__1( tc_Int_Oint ) }.
% 0.92/1.53 { class_Groups_Omonoid__add( tc_Int_Oint ) }.
% 0.92/1.53 { class_Rings_Osemiring__1( tc_Int_Oint ) }.
% 0.92/1.53 { class_Groups_Ogroup__add( tc_Int_Oint ) }.
% 0.92/1.53 { class_Divides_Oring__div( tc_Int_Oint ) }.
% 0.92/1.53 { class_Rings_Omult__zero( tc_Int_Oint ) }.
% 0.92/1.53 { class_Orderings_Oorder( tc_Int_Oint ) }.
% 0.92/1.53 { class_Int_Oring__char__0( tc_Int_Oint ) }.
% 0.92/1.53 { class_Int_Onumber__ring( tc_Int_Oint ) }.
% 0.92/1.53 { class_Rings_Osemiring( tc_Int_Oint ) }.
% 0.92/1.53 { class_Orderings_Oord( tc_Int_Oint ) }.
% 0.92/1.53 { class_Groups_Ouminus( tc_Int_Oint ) }.
% 0.92/1.53 { class_Rings_Oring__1( tc_Int_Oint ) }.
% 0.92/1.53 { class_Groups_Ominus( tc_Int_Oint ) }.
% 0.92/1.53 { class_Groups_Ozero( tc_Int_Oint ) }.
% 0.92/1.53 { class_Rings_Oring( tc_Int_Oint ) }.
% 0.92/1.53 { class_Rings_Oidom( tc_Int_Oint ) }.
% 0.92/1.53 { class_Int_Onumber( tc_Int_Oint ) }.
% 0.92/1.53 { class_Groups_Oone( tc_Int_Oint ) }.
% 0.92/1.53 { class_Semiring__Normalization_Ocomm__semiring__1__cancel__crossproduct(
% 0.92/1.53 tc_Nat_Onat ) }.
% 0.92/1.53 { class_Groups_Oordered__cancel__ab__semigroup__add( tc_Nat_Onat ) }.
% 0.92/1.53 { class_Groups_Oordered__ab__semigroup__add__imp__le( tc_Nat_Onat ) }.
% 0.92/1.53 { class_Rings_Olinordered__comm__semiring__strict( tc_Nat_Onat ) }.
% 0.92/1.53 { class_Rings_Olinordered__semiring__strict( tc_Nat_Onat ) }.
% 0.92/1.53 { class_Groups_Oordered__ab__semigroup__add( tc_Nat_Onat ) }.
% 0.92/1.53 { class_Groups_Oordered__comm__monoid__add( tc_Nat_Onat ) }.
% 0.92/1.53 { class_Groups_Ocancel__ab__semigroup__add( tc_Nat_Onat ) }.
% 0.92/1.53 { class_Rings_Oordered__cancel__semiring( tc_Nat_Onat ) }.
% 0.92/1.53 { class_Rings_Oordered__comm__semiring( tc_Nat_Onat ) }.
% 0.92/1.53 { class_Groups_Ocancel__semigroup__add( tc_Nat_Onat ) }.
% 0.92/1.53 { class_Rings_Olinordered__semiring( tc_Nat_Onat ) }.
% 0.92/1.53 { class_Rings_Olinordered__semidom( tc_Nat_Onat ) }.
% 0.92/1.53 { class_Groups_Oab__semigroup__mult( tc_Nat_Onat ) }.
% 0.92/1.53 { class_Groups_Ocomm__monoid__mult( tc_Nat_Onat ) }.
% 0.92/1.53 { class_Groups_Oab__semigroup__add( tc_Nat_Onat ) }.
% 0.92/1.53 { class_Rings_Oordered__semiring( tc_Nat_Onat ) }.
% 0.92/1.53 { class_Rings_Ono__zero__divisors( tc_Nat_Onat ) }.
% 0.92/1.53 { class_Groups_Ocomm__monoid__add( tc_Nat_Onat ) }.
% 0.92/1.53 { class_Rings_Ocomm__semiring__1( tc_Nat_Onat ) }.
% 0.92/1.53 { class_Divides_Osemiring__div( tc_Nat_Onat ) }.
% 0.92/1.53 { class_Rings_Ocomm__semiring( tc_Nat_Onat ) }.
% 0.92/1.53 { class_Rings_Ozero__neq__one( tc_Nat_Onat ) }.
% 0.92/1.53 { class_Orderings_Opreorder( tc_Nat_Onat ) }.
% 0.92/1.53 { class_Orderings_Olinorder( tc_Nat_Onat ) }.
% 0.92/1.53 { class_Groups_Omonoid__mult( tc_Nat_Onat ) }.
% 0.92/1.53 { class_Groups_Omonoid__add( tc_Nat_Onat ) }.
% 0.92/1.53 { class_Rings_Osemiring__1( tc_Nat_Onat ) }.
% 0.92/1.53 { class_Rings_Omult__zero( tc_Nat_Onat ) }.
% 0.92/1.53 { class_Orderings_Oorder( tc_Nat_Onat ) }.
% 0.92/1.53 { class_Rings_Osemiring( tc_Nat_Onat ) }.
% 0.92/1.53 { class_Orderings_Oord( tc_Nat_Onat ) }.
% 0.92/1.53 { class_Groups_Ominus( tc_Nat_Onat ) }.
% 0.92/1.53 { class_Groups_Ozero( tc_Nat_Onat ) }.
% 0.92/1.53 { class_Int_Onumber( tc_Nat_Onat ) }.
% 0.92/1.53 { class_Groups_Oone( tc_Nat_Onat ) }.
% 0.92/1.53 { class_Lattices_Oboolean__algebra( tc_HOL_Obool ) }.
% 0.92/1.53 { class_Orderings_Opreorder( tc_HOL_Obool ) }.
% 0.92/1.53 { class_Orderings_Oorder( tc_HOL_Obool ) }.
% 0.92/1.53 { class_Orderings_Oord( tc_HOL_Obool ) }.
% 0.92/1.53 { class_Groups_Ouminus( tc_HOL_Obool ) }.
% 0.92/1.53 { class_Groups_Ominus( tc_HOL_Obool ) }.
% 0.92/1.53 { class_Semiring__Normalization_Ocomm__semiring__1__cancel__crossproduct(
% 0.92/1.53 tc_RealDef_Oreal ) }.
% 0.92/1.53 { class_Groups_Oordered__cancel__ab__semigroup__add( tc_RealDef_Oreal ) }.
% 0.92/1.53 { class_Groups_Oordered__ab__semigroup__add__imp__le( tc_RealDef_Oreal ) }
% 0.92/1.53 .
% 0.92/1.53 { class_Rings_Olinordered__comm__semiring__strict( tc_RealDef_Oreal ) }.
% 0.92/1.53 { class_Fields_Olinordered__field__inverse__zero( tc_RealDef_Oreal ) }.
% 0.92/1.53 { class_Rings_Olinordered__semiring__1__strict( tc_RealDef_Oreal ) }.
% 0.92/1.53 { class_Rings_Olinordered__semiring__strict( tc_RealDef_Oreal ) }.
% 0.92/1.53 { class_Rings_Odivision__ring__inverse__zero( tc_RealDef_Oreal ) }.
% 0.92/1.53 { class_Groups_Oordered__ab__semigroup__add( tc_RealDef_Oreal ) }.
% 0.92/1.53 { class_RealVector_Oreal__normed__algebra( tc_RealDef_Oreal ) }.
% 0.92/1.53 { class_Groups_Oordered__comm__monoid__add( tc_RealDef_Oreal ) }.
% 0.92/1.53 { class_Groups_Olinordered__ab__group__add( tc_RealDef_Oreal ) }.
% 0.92/1.53 { class_Groups_Ocancel__ab__semigroup__add( tc_RealDef_Oreal ) }.
% 0.92/1.53 { class_Rings_Oring__1__no__zero__divisors( tc_RealDef_Oreal ) }.
% 0.92/1.53 { class_Rings_Oordered__cancel__semiring( tc_RealDef_Oreal ) }.
% 0.92/1.53 { class_Rings_Olinordered__ring__strict( tc_RealDef_Oreal ) }.
% 0.92/1.53 { class_RealVector_Oreal__normed__field( tc_RealDef_Oreal ) }.
% 0.92/1.53 { class_Rings_Oring__no__zero__divisors( tc_RealDef_Oreal ) }.
% 0.92/1.53 { class_Rings_Oordered__comm__semiring( tc_RealDef_Oreal ) }.
% 0.92/1.53 { class_Rings_Olinordered__semiring__1( tc_RealDef_Oreal ) }.
% 0.92/1.53 { class_Groups_Oordered__ab__group__add( tc_RealDef_Oreal ) }.
% 0.92/1.53 { class_Groups_Ocancel__semigroup__add( tc_RealDef_Oreal ) }.
% 0.92/1.53 { class_Rings_Olinordered__semiring( tc_RealDef_Oreal ) }.
% 0.92/1.53 { class_Fields_Ofield__inverse__zero( tc_RealDef_Oreal ) }.
% 0.92/1.53 { class_Rings_Olinordered__semidom( tc_RealDef_Oreal ) }.
% 0.92/1.53 { class_Groups_Oab__semigroup__mult( tc_RealDef_Oreal ) }.
% 0.92/1.53 { class_Groups_Ocomm__monoid__mult( tc_RealDef_Oreal ) }.
% 0.92/1.53 { class_Groups_Oab__semigroup__add( tc_RealDef_Oreal ) }.
% 0.92/1.53 { class_Fields_Olinordered__field( tc_RealDef_Oreal ) }.
% 0.92/1.53 { class_Rings_Oordered__semiring( tc_RealDef_Oreal ) }.
% 0.92/1.53 { class_Rings_Ono__zero__divisors( tc_RealDef_Oreal ) }.
% 0.92/1.53 { class_Groups_Ocomm__monoid__add( tc_RealDef_Oreal ) }.
% 0.92/1.53 { class_Rings_Olinordered__ring( tc_RealDef_Oreal ) }.
% 0.92/1.53 { class_Rings_Olinordered__idom( tc_RealDef_Oreal ) }.
% 0.92/1.53 { class_Rings_Ocomm__semiring__1( tc_RealDef_Oreal ) }.
% 0.92/1.53 { class_RealVector_Oreal__field( tc_RealDef_Oreal ) }.
% 0.92/1.53 { class_Rings_Odivision__ring( tc_RealDef_Oreal ) }.
% 0.92/1.53 { class_Rings_Ocomm__semiring( tc_RealDef_Oreal ) }.
% 0.92/1.53 { class_Groups_Oab__group__add( tc_RealDef_Oreal ) }.
% 0.92/1.53 { class_Rings_Ozero__neq__one( tc_RealDef_Oreal ) }.
% 0.92/1.53 { class_Rings_Oordered__ring( tc_RealDef_Oreal ) }.
% 0.92/1.53 { class_Orderings_Opreorder( tc_RealDef_Oreal ) }.
% 0.92/1.53 { class_Orderings_Olinorder( tc_RealDef_Oreal ) }.
% 0.92/1.53 { class_Groups_Omonoid__mult( tc_RealDef_Oreal ) }.
% 0.92/1.53 { class_Rings_Ocomm__ring__1( tc_RealDef_Oreal ) }.
% 0.92/1.53 { class_Groups_Omonoid__add( tc_RealDef_Oreal ) }.
% 0.92/1.53 { class_Rings_Osemiring__1( tc_RealDef_Oreal ) }.
% 0.92/1.53 { class_Groups_Ogroup__add( tc_RealDef_Oreal ) }.
% 0.92/1.53 { class_Rings_Omult__zero( tc_RealDef_Oreal ) }.
% 0.92/1.53 { class_Orderings_Oorder( tc_RealDef_Oreal ) }.
% 0.92/1.53 { class_Int_Oring__char__0( tc_RealDef_Oreal ) }.
% 0.92/1.53 { class_Int_Onumber__ring( tc_RealDef_Oreal ) }.
% 0.92/1.53 { class_Rings_Osemiring( tc_RealDef_Oreal ) }.
% 0.92/1.53 { class_Orderings_Oord( tc_RealDef_Oreal ) }.
% 0.92/1.53 { class_Groups_Ouminus( tc_RealDef_Oreal ) }.
% 0.92/1.53 { class_Rings_Oring__1( tc_RealDef_Oreal ) }.
% 0.92/1.53 { class_Groups_Ominus( tc_RealDef_Oreal ) }.
% 0.92/1.53 { class_Fields_Ofield( tc_RealDef_Oreal ) }.
% 0.92/1.53 { class_Groups_Ozero( tc_RealDef_Oreal ) }.
% 0.92/1.53 { class_Rings_Oring( tc_RealDef_Oreal ) }.
% 0.92/1.53 { class_Rings_Oidom( tc_RealDef_Oreal ) }.
% 0.92/1.53 { class_Int_Onumber( tc_RealDef_Oreal ) }.
% 0.92/1.53 { class_Groups_Oone( tc_RealDef_Oreal ) }.
% 0.92/1.53 { class_Groups_Oordered__cancel__ab__semigroup__add(
% 0.92/1.53 tc_Code__Numeral_Ocode__numeral ) }.
% 0.92/1.53 { class_Groups_Oordered__ab__semigroup__add__imp__le(
% 0.92/1.53 tc_Code__Numeral_Ocode__numeral ) }.
% 0.92/1.54 { class_Rings_Olinordered__comm__semiring__strict(
% 0.92/1.54 tc_Code__Numeral_Ocode__numeral ) }.
% 0.92/1.54 { class_Rings_Olinordered__semiring__strict(
% 0.92/1.54 tc_Code__Numeral_Ocode__numeral ) }.
% 0.92/1.54 { class_Groups_Oordered__ab__semigroup__add(
% 0.92/1.54 tc_Code__Numeral_Ocode__numeral ) }.
% 0.92/1.54 { class_Groups_Oordered__comm__monoid__add( tc_Code__Numeral_Ocode__numeral
% 0.92/1.54 ) }.
% 0.92/1.54 { class_Groups_Ocancel__ab__semigroup__add( tc_Code__Numeral_Ocode__numeral
% 0.92/1.54 ) }.
% 0.92/1.54 { class_Rings_Oordered__cancel__semiring( tc_Code__Numeral_Ocode__numeral )
% 0.92/1.54 }.
% 0.92/1.54 { class_Rings_Oordered__comm__semiring( tc_Code__Numeral_Ocode__numeral ) }
% 0.92/1.54 .
% 0.92/1.54 { class_Groups_Ocancel__semigroup__add( tc_Code__Numeral_Ocode__numeral ) }
% 0.92/1.54 .
% 0.92/1.54 { class_Rings_Olinordered__semiring( tc_Code__Numeral_Ocode__numeral ) }.
% 0.92/1.54 { class_Rings_Olinordered__semidom( tc_Code__Numeral_Ocode__numeral ) }.
% 0.92/1.54 { class_Groups_Oab__semigroup__mult( tc_Code__Numeral_Ocode__numeral ) }.
% 0.92/1.54 { class_Groups_Ocomm__monoid__mult( tc_Code__Numeral_Ocode__numeral ) }.
% 0.92/1.54 { class_Groups_Oab__semigroup__add( tc_Code__Numeral_Ocode__numeral ) }.
% 0.92/1.54 { class_Rings_Oordered__semiring( tc_Code__Numeral_Ocode__numeral ) }.
% 0.92/1.54 { class_Rings_Ono__zero__divisors( tc_Code__Numeral_Ocode__numeral ) }.
% 0.92/1.54 { class_Groups_Ocomm__monoid__add( tc_Code__Numeral_Ocode__numeral ) }.
% 0.92/1.54 { class_Rings_Ocomm__semiring__1( tc_Code__Numeral_Ocode__numeral ) }.
% 0.92/1.54 { class_Divides_Osemiring__div( tc_Code__Numeral_Ocode__numeral ) }.
% 0.92/1.54 { class_Rings_Ocomm__semiring( tc_Code__Numeral_Ocode__numeral ) }.
% 0.92/1.54 { class_Rings_Ozero__neq__one( tc_Code__Numeral_Ocode__numeral ) }.
% 0.92/1.54 { class_Orderings_Opreorder( tc_Code__Numeral_Ocode__numeral ) }.
% 0.92/1.54 { class_Orderings_Olinorder( tc_Code__Numeral_Ocode__numeral ) }.
% 0.92/1.54 { class_Groups_Omonoid__mult( tc_Code__Numeral_Ocode__numeral ) }.
% 0.92/1.54 { class_Groups_Omonoid__add( tc_Code__Numeral_Ocode__numeral ) }.
% 0.92/1.54 { class_Rings_Osemiring__1( tc_Code__Numeral_Ocode__numeral ) }.
% 0.92/1.54 { class_Rings_Omult__zero( tc_Code__Numeral_Ocode__numeral ) }.
% 0.92/1.54 { class_Orderings_Oorder( tc_Code__Numeral_Ocode__numeral ) }.
% 0.92/1.54 { class_Rings_Osemiring( tc_Code__Numeral_Ocode__numeral ) }.
% 0.92/1.54 { class_Orderings_Oord( tc_Code__Numeral_Ocode__numeral ) }.
% 0.92/1.54 { class_Groups_Ominus( tc_Code__Numeral_Ocode__numeral ) }.
% 0.92/1.54 { class_Groups_Ozero( tc_Code__Numeral_Ocode__numeral ) }.
% 0.92/1.54 { class_Int_Onumber( tc_Code__Numeral_Ocode__numeral ) }.
% 0.92/1.54 { class_Groups_Oone( tc_Code__Numeral_Ocode__numeral ) }.
% 0.92/1.54 { c_Orderings_Oord__class_Oless( tc_RealDef_Oreal,
% 0.92/1.54 c_Groups_Ozero__class_Ozero( tc_RealDef_Oreal ), v_d1 ) }.
% 0.92/1.54 { c_Orderings_Oord__class_Oless( tc_RealDef_Oreal,
% 0.92/1.54 c_Groups_Ozero__class_Ozero( tc_RealDef_Oreal ), v_d2 ) }.
% 0.92/1.54 { ! c_Orderings_Oord__class_Oless( tc_RealDef_Oreal,
% 0.92/1.54 c_Groups_Ozero__class_Ozero( tc_RealDef_Oreal ),
% 0.92/1.54 c_Rings_Oinverse__class_Odivide( tc_RealDef_Oreal,
% 0.92/1.54 c_Orderings_Oord__class_Omin( tc_RealDef_Oreal, v_d1, v_d2 ),
% 0.92/1.54 c_Int_Onumber__class_Onumber__of( tc_RealDef_Oreal, c_Int_OBit0(
% 0.92/1.54 c_Int_OBit1( c_Int_OPls ) ) ) ) ), ! c_Orderings_Oord__class_Oless(
% 0.92/1.54 tc_RealDef_Oreal, c_Rings_Oinverse__class_Odivide( tc_RealDef_Oreal,
% 0.92/1.54 c_Orderings_Oord__class_Omin( tc_RealDef_Oreal, v_d1, v_d2 ),
% 0.92/1.54 c_Int_Onumber__class_Onumber__of( tc_RealDef_Oreal, c_Int_OBit0(
% 0.92/1.54 c_Int_OBit1( c_Int_OPls ) ) ) ), v_d1 ), ! c_Orderings_Oord__class_Oless
% 0.92/1.54 ( tc_RealDef_Oreal, c_Rings_Oinverse__class_Odivide( tc_RealDef_Oreal,
% 0.92/1.54 c_Orderings_Oord__class_Omin( tc_RealDef_Oreal, v_d1, v_d2 ),
% 0.92/1.54 c_Int_Onumber__class_Onumber__of( tc_RealDef_Oreal, c_Int_OBit0(
% 0.92/1.54 c_Int_OBit1( c_Int_OPls ) ) ) ), v_d2 ) }.
% 0.92/1.54
% 0.92/1.54 *** allocated 15000 integers for clauses
% 0.92/1.54 *** allocated 22500 integers for clauses
% 0.92/1.54 *** allocated 33750 integers for clauses
% 0.92/1.54 *** allocated 50625 integers for clauses
% 0.92/1.54 *** allocated 75937 integers for clauses
% 0.92/1.54 percentage equality = 0.223749, percentage horn = 0.905288
% 0.92/1.54 This is a problem with some equality
% 0.92/1.54
% 0.92/1.54
% 0.92/1.54
% 0.92/1.54 Options Used:
% 0.92/1.54
% 0.92/1.54 useres = 1
% 0.92/1.54 useparamod = 1
% 0.92/1.54 useeqrefl = 1
% 0.92/1.54 useeqfact = 1
% 0.92/1.54 usefactor = 1
% 0.92/1.54 usesimpsplitting = 0
% 0.92/1.54 usesimpdemod = 5
% 0.92/1.54 usesimpres = 3
% 0.92/1.54
% 0.92/1.54 resimpinuse = 1000
% 0.92/1.54 resimpclauses = 20000
% 0.92/1.54 substype = eqrewr
% 0.92/1.54 backwardsubs = 1
% 0.92/1.54 selectoldest = 5
% 0.92/1.54
% 0.92/1.54 litorderings [0] = split
% 0.92/1.54 litorderings [1] = extend the termordering, first sorting on arguments
% 0.92/1.54
% 0.92/1.54 termordering = kbo
% 0.92/1.54
% 0.92/1.54 litapriori = 0
% 0.92/1.54 termapriori = 1
% 0.92/1.54 litaposteriori = 0
% 0.92/1.54 termaposteriori = 0
% 0.92/1.54 demodaposteriori = 0
% 0.92/1.54 ordereqreflfact = 0
% 0.92/1.54
% 0.92/1.54 litselect = negord
% 0.92/1.54
% 0.92/1.54 maxweight = 15
% 0.92/1.54 maxdepth = 30000
% 0.92/1.54 maxlength = 115
% 0.92/1.54 maxnrvars = 195
% 0.92/1.54 excuselevel = 1
% 0.92/1.54 increasemaxweight = 1
% 0.92/1.54
% 0.92/1.54 maxselected = 10000000
% 0.92/1.54 maxnrclauses = 10000000
% 0.92/1.54
% 0.92/1.54 showgenerated = 0
% 0.92/1.54 showkept = 0
% 0.92/1.54 showselected = 0
% 0.92/1.54 showdeleted = 0
% 0.92/1.54 showresimp = 1
% 0.92/1.54 showstatus = 2000
% 0.92/1.54
% 0.92/1.54 prologoutput = 0
% 0.92/1.54 nrgoals = 5000000
% 0.92/1.54 totalproof = 1
% 0.92/1.54
% 0.92/1.54 Symbols occurring in the translation:
% 0.92/1.54
% 0.92/1.54 {} [0, 0] (w:1, o:2, a:1, s:1, b:0),
% 0.92/1.54 . [1, 2] (w:1, o:182, a:1, s:1, b:0),
% 0.92/1.54 ! [4, 1] (w:0, o:91, a:1, s:1, b:0),
% 0.92/1.54 = [13, 2] (w:1, o:0, a:0, s:1, b:0),
% 0.92/1.54 ==> [14, 2] (w:1, o:0, a:0, s:1, b:0),
% 0.92/1.54 hAPP [38, 2] (w:1, o:206, a:1, s:1, b:0),
% 0.92/1.54 class_Fields_Olinordered__field__inverse__zero [41, 1] (w:1, o:96, a:
% 0.92/1.54 1, s:1, b:0),
% 0.92/1.54 class_Int_Onumber__ring [42, 1] (w:1, o:97, a:1, s:1, b:0),
% 0.92/1.54 c_Groups_Ozero__class_Ozero [43, 1] (w:1, o:98, a:1, s:1, b:0),
% 0.92/1.54 c_Int_OPls [44, 0] (w:1, o:17, a:1, s:1, b:0),
% 0.92/1.54 c_Int_OBit1 [45, 1] (w:1, o:100, a:1, s:1, b:0),
% 0.92/1.54 c_Int_OBit0 [46, 1] (w:1, o:99, a:1, s:1, b:0),
% 0.92/1.54 c_Int_Onumber__class_Onumber__of [47, 2] (w:1, o:207, a:1, s:1, b:0)
% 0.92/1.54 ,
% 0.92/1.54 c_Rings_Oinverse__class_Odivide [48, 3] (w:1, o:222, a:1, s:1, b:0),
% 0.92/1.54
% 0.92/1.54 c_Orderings_Oord__class_Oless [49, 3] (w:1, o:223, a:1, s:1, b:0),
% 0.92/1.54 class_Fields_Ofield [52, 1] (w:1, o:101, a:1, s:1, b:0),
% 0.92/1.54 class_Fields_Ofield__inverse__zero [54, 1] (w:1, o:102, a:1, s:1, b:0
% 0.92/1.54 ),
% 0.92/1.54 class_Rings_Olinordered__idom [56, 1] (w:1, o:103, a:1, s:1, b:0),
% 0.92/1.54 tc_Int_Oint [57, 0] (w:1, o:33, a:1, s:1, b:0),
% 0.92/1.54 class_Fields_Olinordered__field [62, 1] (w:1, o:104, a:1, s:1, b:0),
% 0.92/1.54
% 0.92/1.54 tc_Nat_Onat [63, 0] (w:1, o:40, a:1, s:1, b:0),
% 0.92/1.54 class_Int_Oring__char__0 [71, 1] (w:1, o:105, a:1, s:1, b:0),
% 0.92/1.54 class_Int_Onumber [72, 1] (w:1, o:106, a:1, s:1, b:0),
% 0.92/1.54 class_Orderings_Olinorder [77, 1] (w:1, o:107, a:1, s:1, b:0),
% 0.92/1.54 c_Orderings_Oord__class_Omin [78, 3] (w:1, o:225, a:1, s:1, b:0),
% 0.92/1.54 class_Rings_Odivision__ring__inverse__zero [80, 1] (w:1, o:111, a:1
% 0.92/1.54 , s:1, b:0),
% 0.92/1.54 class_RealVector_Oreal__normed__field [81, 1] (w:1, o:112, a:1, s:1
% 0.92/1.54 , b:0),
% 0.92/1.54 class_Rings_Odivision__ring [82, 1] (w:1, o:113, a:1, s:1, b:0),
% 0.92/1.54 c_Groups_Oone__class_Oone [83, 1] (w:1, o:114, a:1, s:1, b:0),
% 0.92/1.54 c_Int_Oiszero [84, 2] (w:1, o:208, a:1, s:1, b:0),
% 0.92/1.54 tc_RealDef_Oreal [85, 0] (w:1, o:54, a:1, s:1, b:0),
% 0.92/1.54 c_Transcendental_Opi [86, 0] (w:1, o:55, a:1, s:1, b:0),
% 0.92/1.54 class_Rings_Osemiring__1 [87, 1] (w:1, o:119, a:1, s:1, b:0),
% 0.92/1.54 class_Rings_Ozero__neq__one [88, 1] (w:1, o:120, a:1, s:1, b:0),
% 0.92/1.54 class_Rings_Olinordered__semidom [89, 1] (w:1, o:123, a:1, s:1, b:0)
% 0.92/1.54 ,
% 0.92/1.54 class_Orderings_Opreorder [90, 1] (w:1, o:126, a:1, s:1, b:0),
% 0.92/1.54 class_Orderings_Oorder [91, 1] (w:1, o:124, a:1, s:1, b:0),
% 0.92/1.54 class_Orderings_Oord [92, 1] (w:1, o:125, a:1, s:1, b:0),
% 0.92/1.54 c_Transcendental_Oarctan [96, 1] (w:1, o:128, a:1, s:1, b:0),
% 0.92/1.54 c_Transcendental_Otan [97, 1] (w:1, o:130, a:1, s:1, b:0),
% 0.92/1.54 c_Groups_Ouminus__class_Ouminus [98, 2] (w:1, o:209, a:1, s:1, b:0),
% 0.92/1.54
% 0.92/1.54 c_Transcendental_Ocos [99, 1] (w:1, o:131, a:1, s:1, b:0),
% 0.92/1.54 c_Transcendental_Osin [100, 1] (w:1, o:129, a:1, s:1, b:0),
% 0.92/1.54 c_Orderings_Oord__class_Oless__eq [101, 3] (w:1, o:224, a:1, s:1, b:0
% 0.92/1.54 ),
% 0.92/1.54 tc_Code__Numeral_Ocode__numeral [102, 0] (w:1, o:62, a:1, s:1, b:0),
% 0.92/1.54
% 0.92/1.54 tc_fun [104, 2] (w:1, o:214, a:1, s:1, b:0),
% 0.92/1.54 class_Lattices_Oboolean__algebra [105, 1] (w:1, o:133, a:1, s:1, b:0)
% 0.92/1.54 ,
% 0.92/1.54 class_Groups_Ouminus [107, 1] (w:1, o:134, a:1, s:1, b:0),
% 0.92/1.54 hBOOL [114, 1] (w:1, o:135, a:1, s:1, b:0),
% 0.92/1.54 c_Transcendental_Oarcsin [118, 1] (w:1, o:127, a:1, s:1, b:0),
% 0.92/1.54 class_Groups_Olinordered__ab__group__add [120, 1] (w:1, o:136, a:1
% 0.92/1.54 , s:1, b:0),
% 0.92/1.54 class_Groups_Oordered__ab__group__add [121, 1] (w:1, o:137, a:1, s:1
% 0.92/1.54 , b:0),
% 0.92/1.54 class_Groups_Ozero [124, 1] (w:1, o:138, a:1, s:1, b:0),
% 0.92/1.54 class_Groups_Oone [125, 1] (w:1, o:139, a:1, s:1, b:0),
% 0.92/1.54 class_Groups_Ogroup__add [126, 1] (w:1, o:140, a:1, s:1, b:0),
% 0.92/1.54 c_Int_OMin [127, 0] (w:1, o:76, a:1, s:1, b:0),
% 0.92/1.54 c_Transcendental_Oarccos [128, 1] (w:1, o:141, a:1, s:1, b:0),
% 0.92/1.54 c_Groups_Otimes__class_Otimes [129, 3] (w:1, o:226, a:1, s:1, b:0),
% 0.92/1.54 c_Groups_Oplus__class_Oplus [130, 3] (w:1, o:227, a:1, s:1, b:0),
% 0.92/1.54 class_Rings_Olinordered__ring__strict [131, 1] (w:1, o:121, a:1, s:1
% 0.92/1.54 , b:0),
% 0.92/1.54 class_Rings_Olinordered__ring [132, 1] (w:1, o:122, a:1, s:1, b:0),
% 0.92/1.54 class_Groups_Omonoid__add [133, 1] (w:1, o:142, a:1, s:1, b:0),
% 0.92/1.54 class_Groups_Ocomm__monoid__add [134, 1] (w:1, o:143, a:1, s:1, b:0)
% 0.92/1.54 ,
% 0.92/1.54 class_Groups_Oordered__ab__semigroup__add__imp__le [135, 1] (w:1, o:
% 0.92/1.54 144, a:1, s:1, b:0),
% 0.92/1.54 class_Groups_Oordered__ab__semigroup__add [136, 1] (w:1, o:145, a:1
% 0.92/1.54 , s:1, b:0),
% 0.92/1.54 class_Groups_Oordered__cancel__ab__semigroup__add [138, 1] (w:1, o:
% 0.92/1.54 146, a:1, s:1, b:0),
% 0.92/1.54 class_Rings_Osemiring [139, 1] (w:1, o:147, a:1, s:1, b:0),
% 0.92/1.54 class_Lattices_Oab__semigroup__idem__mult [140, 1] (w:1, o:132, a:1
% 0.92/1.54 , s:1, b:0),
% 0.92/1.54 class_RealVector_Oreal__normed__algebra [142, 1] (w:1, o:148, a:1, s:
% 0.92/1.54 1, b:0),
% 0.92/1.54 class_Rings_Ocomm__semiring [144, 1] (w:1, o:109, a:1, s:1, b:0),
% 0.92/1.54 class_Groups_Oab__semigroup__add [148, 1] (w:1, o:149, a:1, s:1, b:0)
% 0.92/1.54 ,
% 0.92/1.54 class_Groups_Oab__semigroup__mult [149, 1] (w:1, o:150, a:1, s:1, b:0
% 0.92/1.54 ),
% 0.92/1.54 class_Groups_Ocancel__semigroup__add [153, 1] (w:1, o:151, a:1, s:1
% 0.92/1.54 , b:0),
% 0.92/1.54 class_Groups_Ocancel__ab__semigroup__add [154, 1] (w:1, o:152, a:1
% 0.92/1.54 , s:1, b:0),
% 0.92/1.54 class_Rings_Omult__zero [155, 1] (w:1, o:158, a:1, s:1, b:0),
% 0.92/1.54 class_Rings_Oring__no__zero__divisors [156, 1] (w:1, o:115, a:1, s:1
% 0.92/1.54 , b:0),
% 0.92/1.54 class_Rings_Ono__zero__divisors [157, 1] (w:1, o:159, a:1, s:1, b:0)
% 0.92/1.54 ,
% 0.92/1.54 class_Groups_Oab__group__add [158, 1] (w:1, o:160, a:1, s:1, b:0),
% 0.92/1.54 class_Groups_Omonoid__mult [159, 1] (w:1, o:161, a:1, s:1, b:0),
% 0.92/1.54 class_Groups_Ocomm__monoid__mult [160, 1] (w:1, o:162, a:1, s:1, b:0)
% 0.92/1.54 ,
% 0.92/1.54 class_Rings_Oring [161, 1] (w:1, o:116, a:1, s:1, b:0),
% 0.92/1.54 class_Rings_Oidom [162, 1] (w:1, o:163, a:1, s:1, b:0),
% 0.92/1.54 class_Rings_Olinordered__semiring__1 [163, 1] (w:1, o:153, a:1, s:1
% 0.92/1.54 , b:0),
% 0.92/1.54 class_Rings_Olinordered__semiring__1__strict [164, 1] (w:1, o:154, a:
% 0.92/1.54 1, s:1, b:0),
% 0.92/1.54 class_Groups_Oordered__comm__monoid__add [165, 1] (w:1, o:164, a:1
% 0.92/1.54 , s:1, b:0),
% 0.92/1.54 class_Rings_Oordered__cancel__semiring [166, 1] (w:1, o:165, a:1, s:1
% 0.92/1.54 , b:0),
% 0.92/1.54 class_Rings_Oordered__ring [167, 1] (w:1, o:166, a:1, s:1, b:0),
% 0.92/1.54 class_Rings_Oordered__semiring [168, 1] (w:1, o:167, a:1, s:1, b:0),
% 0.92/1.54
% 0.92/1.54 class_Rings_Oordered__comm__semiring [169, 1] (w:1, o:168, a:1, s:1
% 0.92/1.54 , b:0),
% 0.92/1.54 class_Rings_Olinordered__semiring__strict [170, 1] (w:1, o:155, a:1
% 0.92/1.54 , s:1, b:0),
% 0.92/1.54 class_Rings_Olinordered__comm__semiring__strict [171, 1] (w:1, o:156
% 0.92/1.54 , a:1, s:1, b:0),
% 0.92/1.54 class_Rings_Oring__1__no__zero__divisors [172, 1] (w:1, o:117, a:1
% 0.92/1.54 , s:1, b:0),
% 0.92/1.54 class_Rings_Olinordered__semiring [173, 1] (w:1, o:157, a:1, s:1, b:0
% 0.92/1.54 ),
% 0.92/1.54 class_Rings_Ocomm__ring__1 [174, 1] (w:1, o:108, a:1, s:1, b:0),
% 0.92/1.54 class_Rings_Ocomm__semiring__1 [175, 1] (w:1, o:110, a:1, s:1, b:0),
% 0.92/1.54
% 0.92/1.54 class_Semiring__Normalization_Ocomm__semiring__1__cancel__crossproduct [
% 0.92/1.54 185, 1] (w:1, o:170, a:1, s:1, b:0),
% 0.92/1.54 c_Groups_Ominus__class_Ominus [190, 3] (w:1, o:228, a:1, s:1, b:0),
% 0.92/1.54 c_Divides_Odiv__class_Omod [191, 3] (w:1, o:229, a:1, s:1, b:0),
% 0.92/1.54 class_Groups_Ominus [193, 1] (w:1, o:171, a:1, s:1, b:0),
% 0.92/1.54 class_Divides_Osemiring__div [194, 1] (w:1, o:173, a:1, s:1, b:0),
% 0.92/1.54 class_Divides_Oring__div [195, 1] (w:1, o:172, a:1, s:1, b:0),
% 0.92/1.54 class_Rings_Oring__1 [198, 1] (w:1, o:118, a:1, s:1, b:0),
% 0.92/1.54 class_RealVector_Oreal__field [200, 1] (w:1, o:169, a:1, s:1, b:0),
% 0.92/1.54 c_Groups_Osgn__class_Osgn [206, 2] (w:1, o:215, a:1, s:1, b:0),
% 0.92/1.54 c_Power_Opower__class_Opower [207, 3] (w:1, o:230, a:1, s:1, b:0),
% 0.92/1.54 tc_HOL_Obool [210, 0] (w:1, o:32, a:1, s:1, b:0),
% 0.92/1.54 v_d1 [211, 0] (w:1, o:89, a:1, s:1, b:0),
% 0.92/1.54 v_d2 [212, 0] (w:1, o:90, a:1, s:1, b:0),
% 0.92/1.54 alpha1 [213, 3] (w:1, o:231, a:1, s:1, b:1),
% 0.92/1.54 alpha2 [214, 3] (w:1, o:247, a:1, s:1, b:1),
% 0.92/1.54 alpha3 [215, 2] (w:1, o:218, a:1, s:1, b:1),
% 0.92/1.54 alpha4 [216, 3] (w:1, o:255, a:1, s:1, b:1),
% 0.92/1.54 alpha5 [217, 3] (w:1, o:256, a:1, s:1, b:1),
% 0.92/1.54 alpha6 [218, 2] (w:1, o:220, a:1, s:1, b:1),
% 0.92/1.54 alpha7 [219, 3] (w:1, o:257, a:1, s:1, b:1),
% 0.92/1.54 alpha8 [220, 3] (w:1, o:259, a:1, s:1, b:1),
% 0.92/1.54 alpha9 [221, 4] (w:1, o:286, a:1, s:1, b:1),
% 0.92/1.54 alpha10 [222, 4] (w:1, o:287, a:1, s:1, b:1),
% 0.92/1.54 alpha11 [223, 3] (w:1, o:238, a:1, s:1, b:1),
% 0.92/1.54 alpha12 [224, 3] (w:1, o:239, a:1, s:1, b:1),
% 0.92/1.54 alpha13 [225, 3] (w:1, o:240, a:1, s:1, b:1),
% 4.29/4.65 alpha14 [226, 3] (w:1, o:241, a:1, s:1, b:1),
% 4.29/4.65 alpha15 [227, 3] (w:1, o:242, a:1, s:1, b:1),
% 4.29/4.65 alpha16 [228, 3] (w:1, o:243, a:1, s:1, b:1),
% 4.29/4.65 alpha17 [229, 3] (w:1, o:244, a:1, s:1, b:1),
% 4.29/4.65 alpha18 [230, 3] (w:1, o:245, a:1, s:1, b:1),
% 4.29/4.65 alpha19 [231, 3] (w:1, o:246, a:1, s:1, b:1),
% 4.29/4.65 alpha20 [232, 3] (w:1, o:260, a:1, s:1, b:1),
% 4.29/4.65 alpha21 [233, 3] (w:1, o:261, a:1, s:1, b:1),
% 4.29/4.65 alpha22 [234, 3] (w:1, o:262, a:1, s:1, b:1),
% 4.29/4.65 alpha23 [235, 3] (w:1, o:263, a:1, s:1, b:1),
% 4.29/4.65 alpha24 [236, 3] (w:1, o:264, a:1, s:1, b:1),
% 4.29/4.65 alpha25 [237, 3] (w:1, o:265, a:1, s:1, b:1),
% 4.29/4.65 alpha26 [238, 3] (w:1, o:266, a:1, s:1, b:1),
% 4.29/4.65 alpha27 [239, 3] (w:1, o:267, a:1, s:1, b:1),
% 4.29/4.65 alpha28 [240, 3] (w:1, o:268, a:1, s:1, b:1),
% 4.29/4.65 alpha29 [241, 2] (w:1, o:217, a:1, s:1, b:1),
% 4.29/4.65 alpha30 [242, 3] (w:1, o:248, a:1, s:1, b:1),
% 4.29/4.65 alpha31 [243, 3] (w:1, o:249, a:1, s:1, b:1),
% 4.29/4.65 alpha32 [244, 3] (w:1, o:250, a:1, s:1, b:1),
% 4.29/4.65 alpha33 [245, 3] (w:1, o:251, a:1, s:1, b:1),
% 4.29/4.65 alpha34 [246, 3] (w:1, o:252, a:1, s:1, b:1),
% 4.29/4.65 alpha35 [247, 2] (w:1, o:221, a:1, s:1, b:1),
% 4.29/4.65 alpha36 [248, 3] (w:1, o:253, a:1, s:1, b:1),
% 4.29/4.65 alpha37 [249, 3] (w:1, o:254, a:1, s:1, b:1),
% 4.29/4.65 alpha38 [250, 4] (w:1, o:288, a:1, s:1, b:1),
% 4.29/4.65 alpha39 [251, 4] (w:1, o:289, a:1, s:1, b:1),
% 4.29/4.65 alpha40 [252, 4] (w:1, o:290, a:1, s:1, b:1),
% 4.29/4.65 alpha41 [253, 4] (w:1, o:291, a:1, s:1, b:1),
% 4.29/4.65 alpha42 [254, 4] (w:1, o:292, a:1, s:1, b:1),
% 4.29/4.65 alpha43 [255, 4] (w:1, o:293, a:1, s:1, b:1),
% 4.29/4.65 alpha44 [256, 4] (w:1, o:294, a:1, s:1, b:1),
% 4.29/4.65 alpha45 [257, 4] (w:1, o:295, a:1, s:1, b:1),
% 4.29/4.65 alpha46 [258, 4] (w:1, o:296, a:1, s:1, b:1),
% 4.29/4.65 alpha47 [259, 4] (w:1, o:297, a:1, s:1, b:1),
% 4.29/4.65 alpha48 [260, 4] (w:1, o:298, a:1, s:1, b:1),
% 4.29/4.65 alpha49 [261, 4] (w:1, o:299, a:1, s:1, b:1),
% 4.29/4.65 alpha50 [262, 4] (w:1, o:300, a:1, s:1, b:1),
% 4.29/4.65 alpha51 [263, 4] (w:1, o:301, a:1, s:1, b:1),
% 4.29/4.65 alpha52 [264, 4] (w:1, o:302, a:1, s:1, b:1),
% 4.29/4.65 alpha53 [265, 4] (w:1, o:303, a:1, s:1, b:1),
% 4.29/4.65 alpha54 [266, 4] (w:1, o:304, a:1, s:1, b:1),
% 4.29/4.65 alpha55 [267, 4] (w:1, o:305, a:1, s:1, b:1),
% 4.29/4.65 alpha56 [268, 4] (w:1, o:306, a:1, s:1, b:1),
% 4.29/4.65 alpha57 [269, 4] (w:1, o:307, a:1, s:1, b:1),
% 4.29/4.65 alpha58 [270, 2] (w:1, o:219, a:1, s:1, b:1),
% 4.29/4.65 alpha59 [271, 3] (w:1, o:269, a:1, s:1, b:1),
% 4.29/4.65 alpha60 [272, 4] (w:1, o:308, a:1, s:1, b:1),
% 4.29/4.65 alpha61 [273, 4] (w:1, o:309, a:1, s:1, b:1),
% 4.29/4.65 alpha62 [274, 4] (w:1, o:310, a:1, s:1, b:1),
% 4.29/4.65 alpha63 [275, 4] (w:1, o:311, a:1, s:1, b:1),
% 4.29/4.65 alpha64 [276, 4] (w:1, o:312, a:1, s:1, b:1),
% 4.29/4.65 alpha65 [277, 4] (w:1, o:313, a:1, s:1, b:1),
% 4.29/4.65 alpha66 [278, 4] (w:1, o:314, a:1, s:1, b:1),
% 4.29/4.65 alpha67 [279, 4] (w:1, o:315, a:1, s:1, b:1),
% 4.29/4.65 alpha68 [280, 4] (w:1, o:316, a:1, s:1, b:1),
% 4.29/4.65 alpha69 [281, 4] (w:1, o:317, a:1, s:1, b:1),
% 4.29/4.65 alpha70 [282, 4] (w:1, o:318, a:1, s:1, b:1),
% 4.29/4.65 alpha71 [283, 4] (w:1, o:319, a:1, s:1, b:1),
% 4.29/4.65 alpha72 [284, 3] (w:1, o:258, a:1, s:1, b:1),
% 4.29/4.65 alpha73 [285, 4] (w:1, o:320, a:1, s:1, b:1),
% 4.29/4.65 alpha74 [286, 4] (w:1, o:321, a:1, s:1, b:1),
% 4.29/4.65 alpha75 [287, 4] (w:1, o:322, a:1, s:1, b:1),
% 4.29/4.65 alpha76 [288, 4] (w:1, o:323, a:1, s:1, b:1),
% 4.29/4.65 alpha77 [289, 4] (w:1, o:324, a:1, s:1, b:1),
% 4.29/4.65 alpha78 [290, 4] (w:1, o:325, a:1, s:1, b:1),
% 4.29/4.65 alpha79 [291, 4] (w:1, o:326, a:1, s:1, b:1),
% 4.29/4.65 alpha80 [292, 4] (w:1, o:278, a:1, s:1, b:1),
% 4.29/4.65 alpha81 [293, 4] (w:1, o:279, a:1, s:1, b:1),
% 4.29/4.65 alpha82 [294, 4] (w:1, o:280, a:1, s:1, b:1),
% 4.29/4.65 alpha83 [295, 4] (w:1, o:281, a:1, s:1, b:1),
% 4.29/4.65 alpha84 [296, 4] (w:1, o:282, a:1, s:1, b:1),
% 4.29/4.65 alpha85 [297, 3] (w:1, o:270, a:1, s:1, b:1),
% 4.29/4.65 alpha86 [298, 3] (w:1, o:271, a:1, s:1, b:1),
% 4.29/4.65 alpha87 [299, 4] (w:1, o:283, a:1, s:1, b:1),
% 4.29/4.65 alpha88 [300, 4] (w:1, o:284, a:1, s:1, b:1),
% 4.29/4.65 alpha89 [301, 4] (w:1, o:285, a:1, s:1, b:1),
% 4.29/4.65 alpha90 [302, 4] (w:1, o:327, a:1, s:1, b:1),
% 28.99/29.36 alpha91 [303, 4] (w:1, o:328, a:1, s:1, b:1),
% 28.99/29.36 alpha92 [304, 4] (w:1, o:329, a:1, s:1, b:1),
% 28.99/29.36 alpha93 [305, 4] (w:1, o:330, a:1, s:1, b:1),
% 28.99/29.36 alpha94 [306, 4] (w:1, o:331, a:1, s:1, b:1),
% 28.99/29.36 alpha95 [307, 4] (w:1, o:332, a:1, s:1, b:1),
% 28.99/29.36 alpha96 [308, 4] (w:1, o:333, a:1, s:1, b:1),
% 28.99/29.36 alpha97 [309, 4] (w:1, o:334, a:1, s:1, b:1),
% 28.99/29.36 alpha98 [310, 4] (w:1, o:335, a:1, s:1, b:1),
% 28.99/29.36 alpha99 [311, 3] (w:1, o:272, a:1, s:1, b:1),
% 28.99/29.36 alpha100 [312, 3] (w:1, o:232, a:1, s:1, b:1),
% 28.99/29.36 alpha101 [313, 3] (w:1, o:233, a:1, s:1, b:1),
% 28.99/29.36 alpha102 [314, 3] (w:1, o:234, a:1, s:1, b:1),
% 28.99/29.36 alpha103 [315, 3] (w:1, o:235, a:1, s:1, b:1),
% 28.99/29.36 alpha104 [316, 3] (w:1, o:236, a:1, s:1, b:1),
% 28.99/29.36 alpha105 [317, 1] (w:1, o:174, a:1, s:1, b:1),
% 28.99/29.36 alpha106 [318, 1] (w:1, o:175, a:1, s:1, b:1),
% 28.99/29.36 alpha107 [319, 2] (w:1, o:216, a:1, s:1, b:1),
% 28.99/29.36 alpha108 [320, 3] (w:1, o:237, a:1, s:1, b:1),
% 28.99/29.36 skol1 [321, 2] (w:1, o:210, a:1, s:1, b:1),
% 28.99/29.36 skol2 [322, 3] (w:1, o:277, a:1, s:1, b:1),
% 28.99/29.36 skol3 [323, 1] (w:1, o:176, a:1, s:1, b:1),
% 28.99/29.36 skol4 [324, 1] (w:1, o:177, a:1, s:1, b:1),
% 28.99/29.36 skol5 [325, 1] (w:1, o:178, a:1, s:1, b:1),
% 28.99/29.36 skol6 [326, 1] (w:1, o:179, a:1, s:1, b:1),
% 28.99/29.36 skol7 [327, 1] (w:1, o:180, a:1, s:1, b:1),
% 28.99/29.36 skol8 [328, 1] (w:1, o:181, a:1, s:1, b:1),
% 28.99/29.36 skol9 [329, 2] (w:1, o:211, a:1, s:1, b:1),
% 28.99/29.36 skol10 [330, 2] (w:1, o:212, a:1, s:1, b:1),
% 28.99/29.36 skol11 [331, 2] (w:1, o:213, a:1, s:1, b:1),
% 28.99/29.36 skol12 [332, 3] (w:1, o:273, a:1, s:1, b:1),
% 28.99/29.36 skol13 [333, 3] (w:1, o:274, a:1, s:1, b:1),
% 28.99/29.36 skol14 [334, 3] (w:1, o:275, a:1, s:1, b:1),
% 28.99/29.36 skol15 [335, 3] (w:1, o:276, a:1, s:1, b:1).
% 28.99/29.36
% 28.99/29.36
% 28.99/29.36 Starting Search:
% 28.99/29.36
% 28.99/29.36 *** allocated 113905 integers for clauses
% 28.99/29.36 *** allocated 170857 integers for clauses
% 28.99/29.36 Resimplifying inuse:
% 28.99/29.36 Done
% 28.99/29.36
% 28.99/29.36
% 28.99/29.36 Intermediate Status:
% 28.99/29.36 Generated: 2797
% 28.99/29.36 Kept: 2001
% 28.99/29.36 Inuse: 14
% 28.99/29.36 Deleted: 0
% 28.99/29.36 Deletedinuse: 0
% 28.99/29.36
% 28.99/29.36 *** allocated 256285 integers for clauses
% 28.99/29.36 Resimplifying inuse:
% 28.99/29.36 Done
% 28.99/29.36
% 28.99/29.36 *** allocated 170857 integers for termspace/termends
% 28.99/29.36 Resimplifying inuse:
% 28.99/29.36 Done
% 28.99/29.36
% 28.99/29.36
% 28.99/29.36 Intermediate Status:
% 28.99/29.36 Generated: 7908
% 28.99/29.36 Kept: 4022
% 28.99/29.36 Inuse: 303
% 28.99/29.36 Deleted: 14
% 28.99/29.36 Deletedinuse: 1
% 28.99/29.36
% 28.99/29.36 *** allocated 384427 integers for clauses
% 28.99/29.36 Resimplifying inuse:
% 28.99/29.36 Done
% 28.99/29.36
% 28.99/29.36
% 28.99/29.36 Intermediate Status:
% 28.99/29.36 Generated: 13059
% 28.99/29.36 Kept: 6027
% 28.99/29.36 Inuse: 342
% 28.99/29.36 Deleted: 22
% 28.99/29.36 Deletedinuse: 8
% 28.99/29.36
% 28.99/29.36 Resimplifying inuse:
% 28.99/29.36 Done
% 28.99/29.36
% 28.99/29.36 *** allocated 256285 integers for termspace/termends
% 28.99/29.36 *** allocated 576640 integers for clauses
% 28.99/29.36 Resimplifying inuse:
% 28.99/29.36 Done
% 28.99/29.36
% 28.99/29.36
% 28.99/29.36 Intermediate Status:
% 28.99/29.36 Generated: 19141
% 28.99/29.36 Kept: 8027
% 28.99/29.36 Inuse: 429
% 28.99/29.36 Deleted: 22
% 28.99/29.36 Deletedinuse: 8
% 28.99/29.36
% 28.99/29.36 Resimplifying inuse:
% 28.99/29.36 Done
% 28.99/29.36
% 28.99/29.36 Resimplifying inuse:
% 28.99/29.36 Done
% 28.99/29.36
% 28.99/29.36 *** allocated 384427 integers for termspace/termends
% 28.99/29.36
% 28.99/29.36 Intermediate Status:
% 28.99/29.36 Generated: 26933
% 28.99/29.36 Kept: 11406
% 28.99/29.36 Inuse: 490
% 28.99/29.36 Deleted: 24
% 28.99/29.36 Deletedinuse: 8
% 28.99/29.36
% 28.99/29.36 Resimplifying inuse:
% 28.99/29.36 Done
% 28.99/29.36
% 28.99/29.36 *** allocated 864960 integers for clauses
% 28.99/29.36 Resimplifying inuse:
% 28.99/29.36 Done
% 28.99/29.36
% 28.99/29.36
% 28.99/29.36 Intermediate Status:
% 28.99/29.36 Generated: 34327
% 28.99/29.36 Kept: 13874
% 28.99/29.36 Inuse: 530
% 28.99/29.36 Deleted: 24
% 28.99/29.36 Deletedinuse: 8
% 28.99/29.36
% 28.99/29.36 Resimplifying inuse:
% 28.99/29.36 Done
% 28.99/29.36
% 28.99/29.36 Resimplifying inuse:
% 28.99/29.36 Done
% 28.99/29.36
% 28.99/29.36
% 28.99/29.36 Intermediate Status:
% 28.99/29.36 Generated: 42009
% 28.99/29.36 Kept: 15973
% 28.99/29.36 Inuse: 585
% 28.99/29.36 Deleted: 24
% 28.99/29.36 Deletedinuse: 8
% 28.99/29.36
% 28.99/29.36 Resimplifying inuse:
% 28.99/29.36 Done
% 28.99/29.36
% 28.99/29.36 Resimplifying inuse:
% 28.99/29.36 Done
% 28.99/29.36
% 28.99/29.36
% 28.99/29.36 Intermediate Status:
% 28.99/29.36 Generated: 47657
% 28.99/29.36 Kept: 17974
% 28.99/29.36 Inuse: 659
% 28.99/29.36 Deleted: 27
% 28.99/29.36 Deletedinuse: 9
% 28.99/29.36
% 28.99/29.36 Resimplifying inuse:
% 28.99/29.36 Done
% 28.99/29.36
% 28.99/29.36 *** allocated 576640 integers for termspace/termends
% 28.99/29.36 *** allocated 1297440 integers for clauses
% 28.99/29.36 Resimplifying inuse:
% 28.99/29.36 Done
% 28.99/29.36
% 28.99/29.36
% 28.99/29.36 Intermediate Status:
% 28.99/29.36 Generated: 53751
% 28.99/29.36 Kept: 20049
% 28.99/29.36 Inuse: 718
% 28.99/29.36 Deleted: 27
% 28.99/29.36 Deletedinuse: 9
% 28.99/29.36
% 28.99/29.36 Resimplifying clauses:
% 28.99/29.36 Done
% 28.99/29.36
% 28.99/29.36 Resimplifying inuse:
% 28.99/29.36 Done
% 28.99/29.36
% 28.99/29.36 Resimplifying inuse:
% 28.99/29.36 Done
% 28.99/29.36
% 28.99/29.36
% 28.99/29.36 Intermediate Status:
% 28.99/29.36 Generated: 60606
% 28.99/29.36 Kept: 22058
% 28.99/29.36 Inuse: 784
% 28.99/29.36 Deleted: 751
% 28.99/29.36 Deletedinuse: 10
% 28.99/29.36
% 28.99/29.36 Resimplifying inuse:
% 28.99/29.36 Done
% 28.99/29.36
% 28.99/29.36
% 28.99/29.36 Intermediate Status:
% 28.99/29.36 Generated: 67492
% 28.99/29.36 Kept: 24062
% 28.99/29.36 Inuse: 837
% 28.99/29.36 Deleted: 751
% 28.99/29.36 Deletedinuse: 10
% 28.99/29.36
% 28.99/29.36 Resimplifying inuse:
% 69.96/70.38 Done
% 69.96/70.38
% 69.96/70.38 Resimplifying inuse:
% 69.96/70.38 Done
% 69.96/70.38
% 69.96/70.38
% 69.96/70.38 Intermediate Status:
% 69.96/70.38 Generated: 76338
% 69.96/70.38 Kept: 27086
% 69.96/70.38 Inuse: 909
% 69.96/70.38 Deleted: 751
% 69.96/70.38 Deletedinuse: 10
% 69.96/70.38
% 69.96/70.38 Resimplifying inuse:
% 69.96/70.38 Done
% 69.96/70.38
% 69.96/70.38 *** allocated 864960 integers for termspace/termends
% 69.96/70.38
% 69.96/70.38 Intermediate Status:
% 69.96/70.38 Generated: 81431
% 69.96/70.38 Kept: 30046
% 69.96/70.38 Inuse: 933
% 69.96/70.38 Deleted: 751
% 69.96/70.38 Deletedinuse: 10
% 69.96/70.38
% 69.96/70.38 Resimplifying inuse:
% 69.96/70.38 Done
% 69.96/70.38
% 69.96/70.38 *** allocated 1946160 integers for clauses
% 69.96/70.38
% 69.96/70.38 Intermediate Status:
% 69.96/70.38 Generated: 85296
% 69.96/70.38 Kept: 32357
% 69.96/70.38 Inuse: 938
% 69.96/70.38 Deleted: 751
% 69.96/70.38 Deletedinuse: 10
% 69.96/70.38
% 69.96/70.38 Resimplifying inuse:
% 69.96/70.38 Done
% 69.96/70.38
% 69.96/70.38 Resimplifying inuse:
% 69.96/70.38 Done
% 69.96/70.38
% 69.96/70.38
% 69.96/70.38 Intermediate Status:
% 69.96/70.38 Generated: 90138
% 69.96/70.38 Kept: 34417
% 69.96/70.38 Inuse: 1057
% 69.96/70.38 Deleted: 752
% 69.96/70.38 Deletedinuse: 10
% 69.96/70.38
% 69.96/70.38 Resimplifying inuse:
% 69.96/70.38 Done
% 69.96/70.38
% 69.96/70.38 Resimplifying inuse:
% 69.96/70.38 Done
% 69.96/70.38
% 69.96/70.38
% 69.96/70.38 Intermediate Status:
% 69.96/70.38 Generated: 97633
% 69.96/70.38 Kept: 37037
% 69.96/70.38 Inuse: 1112
% 69.96/70.38 Deleted: 752
% 69.96/70.38 Deletedinuse: 10
% 69.96/70.38
% 69.96/70.38 Resimplifying inuse:
% 69.96/70.38 Done
% 69.96/70.38
% 69.96/70.38 Resimplifying inuse:
% 69.96/70.38 Done
% 69.96/70.38
% 69.96/70.38
% 69.96/70.38 Intermediate Status:
% 69.96/70.38 Generated: 101691
% 69.96/70.38 Kept: 39056
% 69.96/70.38 Inuse: 1192
% 69.96/70.38 Deleted: 752
% 69.96/70.38 Deletedinuse: 10
% 69.96/70.38
% 69.96/70.38 Resimplifying inuse:
% 69.96/70.38 Done
% 69.96/70.38
% 69.96/70.38 *** allocated 1297440 integers for termspace/termends
% 69.96/70.38 Resimplifying inuse:
% 69.96/70.38 Done
% 69.96/70.38
% 69.96/70.38 Resimplifying clauses:
% 69.96/70.38 Done
% 69.96/70.38
% 69.96/70.38
% 69.96/70.38 Intermediate Status:
% 69.96/70.38 Generated: 107413
% 69.96/70.38 Kept: 41069
% 69.96/70.38 Inuse: 1249
% 69.96/70.38 Deleted: 1133
% 69.96/70.38 Deletedinuse: 10
% 69.96/70.38
% 69.96/70.38 Resimplifying inuse:
% 69.96/70.38 Done
% 69.96/70.38
% 69.96/70.38 Resimplifying inuse:
% 69.96/70.38 Done
% 69.96/70.38
% 69.96/70.38
% 69.96/70.38 Intermediate Status:
% 69.96/70.38 Generated: 114765
% 69.96/70.38 Kept: 43267
% 69.96/70.38 Inuse: 1282
% 69.96/70.38 Deleted: 1133
% 69.96/70.38 Deletedinuse: 10
% 69.96/70.38
% 69.96/70.38 Resimplifying inuse:
% 69.96/70.38 Done
% 69.96/70.38
% 69.96/70.38 *** allocated 2919240 integers for clauses
% 69.96/70.38
% 69.96/70.38 Intermediate Status:
% 69.96/70.38 Generated: 121430
% 69.96/70.38 Kept: 46999
% 69.96/70.38 Inuse: 1317
% 69.96/70.38 Deleted: 1133
% 69.96/70.38 Deletedinuse: 10
% 69.96/70.38
% 69.96/70.38 Resimplifying inuse:
% 69.96/70.38 Done
% 69.96/70.38
% 69.96/70.38
% 69.96/70.38 Intermediate Status:
% 69.96/70.38 Generated: 128762
% 69.96/70.38 Kept: 49172
% 69.96/70.38 Inuse: 1352
% 69.96/70.38 Deleted: 1133
% 69.96/70.38 Deletedinuse: 10
% 69.96/70.38
% 69.96/70.38 Resimplifying inuse:
% 69.96/70.38 Done
% 69.96/70.38
% 69.96/70.38 Resimplifying inuse:
% 69.96/70.38 Done
% 69.96/70.38
% 69.96/70.38
% 69.96/70.38 Intermediate Status:
% 69.96/70.38 Generated: 138626
% 69.96/70.38 Kept: 51223
% 69.96/70.38 Inuse: 1382
% 69.96/70.38 Deleted: 1133
% 69.96/70.38 Deletedinuse: 10
% 69.96/70.38
% 69.96/70.38 Resimplifying inuse:
% 69.96/70.38 Done
% 69.96/70.38
% 69.96/70.38 Resimplifying inuse:
% 69.96/70.38 Done
% 69.96/70.38
% 69.96/70.38
% 69.96/70.38 Intermediate Status:
% 69.96/70.38 Generated: 144881
% 69.96/70.38 Kept: 54134
% 69.96/70.38 Inuse: 1412
% 69.96/70.38 Deleted: 1133
% 69.96/70.38 Deletedinuse: 10
% 69.96/70.38
% 69.96/70.38 Resimplifying inuse:
% 69.96/70.38 Done
% 69.96/70.38
% 69.96/70.38 Resimplifying inuse:
% 69.96/70.38 Done
% 69.96/70.38
% 69.96/70.38
% 69.96/70.38 Intermediate Status:
% 69.96/70.38 Generated: 151730
% 69.96/70.38 Kept: 56186
% 69.96/70.38 Inuse: 1466
% 69.96/70.38 Deleted: 1136
% 69.96/70.38 Deletedinuse: 12
% 69.96/70.38
% 69.96/70.38 Resimplifying inuse:
% 69.96/70.38 Done
% 69.96/70.38
% 69.96/70.38 *** allocated 1946160 integers for termspace/termends
% 69.96/70.38 Resimplifying inuse:
% 69.96/70.38 Done
% 69.96/70.38
% 69.96/70.38
% 69.96/70.38 Intermediate Status:
% 69.96/70.38 Generated: 157253
% 69.96/70.38 Kept: 58345
% 69.96/70.38 Inuse: 1526
% 69.96/70.38 Deleted: 1144
% 69.96/70.38 Deletedinuse: 20
% 69.96/70.38
% 69.96/70.38 Resimplifying inuse:
% 69.96/70.38 Done
% 69.96/70.38
% 69.96/70.38 Resimplifying inuse:
% 69.96/70.38 Done
% 69.96/70.38
% 69.96/70.38 Resimplifying clauses:
% 69.96/70.38 Done
% 69.96/70.38
% 69.96/70.38
% 69.96/70.38 Intermediate Status:
% 69.96/70.38 Generated: 168859
% 69.96/70.38 Kept: 61907
% 69.96/70.38 Inuse: 1571
% 69.96/70.38 Deleted: 2131
% 69.96/70.38 Deletedinuse: 20
% 69.96/70.38
% 69.96/70.38 Resimplifying inuse:
% 69.96/70.38 Done
% 69.96/70.38
% 69.96/70.38 Resimplifying inuse:
% 69.96/70.38 Done
% 69.96/70.38
% 69.96/70.38
% 69.96/70.38 Intermediate Status:
% 69.96/70.38 Generated: 175190
% 69.96/70.38 Kept: 64739
% 69.96/70.38 Inuse: 1606
% 69.96/70.38 Deleted: 2131
% 69.96/70.38 Deletedinuse: 20
% 69.96/70.38
% 69.96/70.38 Resimplifying inuse:
% 69.96/70.38 Done
% 69.96/70.38
% 69.96/70.38 Resimplifying inuse:
% 69.96/70.38 Done
% 69.96/70.38
% 69.96/70.38
% 69.96/70.38 Intermediate Status:
% 69.96/70.38 Generated: 183576
% 69.96/70.38 Kept: 69194
% 69.96/70.38 Inuse: 1636
% 69.96/70.38 Deleted: 2131
% 69.96/70.38 Deletedinuse: 20
% 69.96/70.38
% 69.96/70.38 Resimplifying inuse:
% 69.96/70.38 Done
% 69.96/70.38
% 69.96/70.38 *** allocated 4378860 integers for clauses
% 69.96/70.38
% 69.96/70.38 Intermediate Status:
% 69.96/70.38 Generated: 191072
% 69.96/70.38 Kept: 73202
% 69.96/70.38 Inuse: 1656
% 69.96/70.38 Deleted: 2131
% 69.96/70.38 Deletedinuse: 20
% 69.96/70.38
% 69.96/70.38 Resimplifying inuse:
% 69.96/70.38 Done
% 69.96/70.38
% 69.96/70.38 Resimplifying inuse:
% 69.96/70.38 Done
% 69.96/70.38
% 69.96/70.38
% 69.96/70.38 Intermediate Status:
% 69.96/70.38 Generated: 196575
% 69.96/70.38 Kept: 75309
% 69.96/70.38 Inuse: 1701
% 69.96/70.38 Deleted: 2131
% 69.96/70.38 Deletedinuse: 20
% 69.96/70.38
% 69.96/70.38 Resimplifying inuse:
% 69.96/70.38 Done
% 69.96/70.38
% 69.96/70.38 Resimplifying inuse:
% 69.96/70.38 Done
% 69.96/70.38
% 69.96/70.38
% 69.96/70.38 Intermediate Status:
% 69.96/70.38 Generated: 206691
% 69.96/70.38 Kept: 78274
% 69.96/70.38 Inuse: 1740
% 69.96/70.38 Deleted: 2131
% 69.96/70.38 Deletedinuse: 20
% 69.96/70.38
% 69.96/70.38 Resimplifying inuse:
% 69.96/70.38 Done
% 69.96/70.38
% 69.96/70.38
% 69.96/70.38 Intermediate Status:
% 69.96/70.38 Generated: 215689
% 69.96/70.38 Kept: 80696
% 69.96/70.38 Inuse: 1761
% 69.96/70.38 Deleted: 2131
% 69.96/70.38 Deletedinuse: 20
% 69.96/70.38
% 69.96/70.38 Resimplifying inuse:
% 69.96/70.38 Done
% 69.96/70.38
% 69.96/70.38 Resimplifying clauses:
% 69.96/70.38 Done
% 69.96/70.38
% 69.96/70.38
% 69.96/70.38 Intermediate Status:
% 69.96/70.38 Generated: 221903
% 69.96/70.38 Kept: 82963
% 69.96/70.38 Inuse: 1771
% 69.96/70.38 Deleted: 2342
% 69.96/70.38 Deletedinuse: 20
% 69.96/70.38
% 69.96/70.38 Resimplifying inuse:
% 69.96/70.38 Done
% 69.96/70.38
% 69.96/70.38 Resimplifying inuse:
% 69.96/70.38 Done
% 69.96/70.38
% 69.96/70.38
% 69.96/70.38 Intermediate Status:
% 69.96/70.38 Generated: 230478
% 69.96/70.38 Kept: 84980
% 69.96/70.38 Inuse: 1785
% 196.73/197.17 Deleted: 2342
% 196.73/197.17 Deletedinuse: 20
% 196.73/197.17
% 196.73/197.17
% 196.73/197.17 Intermediate Status:
% 196.73/197.17 Generated: 236143
% 196.73/197.17 Kept: 87727
% 196.73/197.17 Inuse: 1801
% 196.73/197.17 Deleted: 2342
% 196.73/197.17 Deletedinuse: 20
% 196.73/197.17
% 196.73/197.17 Resimplifying inuse:
% 196.73/197.17 Done
% 196.73/197.17
% 196.73/197.17 *** allocated 2919240 integers for termspace/termends
% 196.73/197.17
% 196.73/197.17 Intermediate Status:
% 196.73/197.17 Generated: 240765
% 196.73/197.17 Kept: 90295
% 196.73/197.17 Inuse: 1811
% 196.73/197.17 Deleted: 2342
% 196.73/197.17 Deletedinuse: 20
% 196.73/197.17
% 196.73/197.17 Resimplifying inuse:
% 196.73/197.17 Done
% 196.73/197.17
% 196.73/197.17 Resimplifying inuse:
% 196.73/197.17 Done
% 196.73/197.17
% 196.73/197.17
% 196.73/197.17 Intermediate Status:
% 196.73/197.17 Generated: 245472
% 196.73/197.17 Kept: 92299
% 196.73/197.17 Inuse: 1839
% 196.73/197.17 Deleted: 2342
% 196.73/197.17 Deletedinuse: 20
% 196.73/197.17
% 196.73/197.17 Resimplifying inuse:
% 196.73/197.17 Done
% 196.73/197.17
% 196.73/197.17 Resimplifying inuse:
% 196.73/197.17 Done
% 196.73/197.17
% 196.73/197.17
% 196.73/197.17 Intermediate Status:
% 196.73/197.17 Generated: 250742
% 196.73/197.17 Kept: 94309
% 196.73/197.17 Inuse: 1864
% 196.73/197.17 Deleted: 2342
% 196.73/197.17 Deletedinuse: 20
% 196.73/197.17
% 196.73/197.17 Resimplifying inuse:
% 196.73/197.17 Done
% 196.73/197.17
% 196.73/197.17 Resimplifying inuse:
% 196.73/197.17 Done
% 196.73/197.17
% 196.73/197.17
% 196.73/197.17 Intermediate Status:
% 196.73/197.17 Generated: 261836
% 196.73/197.17 Kept: 99683
% 196.73/197.17 Inuse: 1871
% 196.73/197.17 Deleted: 2342
% 196.73/197.17 Deletedinuse: 20
% 196.73/197.17
% 196.73/197.17 Resimplifying inuse:
% 196.73/197.17 Done
% 196.73/197.17
% 196.73/197.17 Resimplifying inuse:
% 196.73/197.17 Done
% 196.73/197.17
% 196.73/197.17 Resimplifying clauses:
% 196.73/197.17 Done
% 196.73/197.17
% 196.73/197.17
% 196.73/197.17 Intermediate Status:
% 196.73/197.17 Generated: 267516
% 196.73/197.17 Kept: 101720
% 196.73/197.17 Inuse: 1894
% 196.73/197.17 Deleted: 2728
% 196.73/197.17 Deletedinuse: 20
% 196.73/197.17
% 196.73/197.17 Resimplifying inuse:
% 196.73/197.17 Done
% 196.73/197.17
% 196.73/197.17 Resimplifying inuse:
% 196.73/197.17 Done
% 196.73/197.17
% 196.73/197.17
% 196.73/197.17 Intermediate Status:
% 196.73/197.17 Generated: 273369
% 196.73/197.17 Kept: 103880
% 196.73/197.17 Inuse: 1916
% 196.73/197.17 Deleted: 2728
% 196.73/197.17 Deletedinuse: 20
% 196.73/197.17
% 196.73/197.17 Resimplifying inuse:
% 196.73/197.17 Done
% 196.73/197.17
% 196.73/197.17 Resimplifying inuse:
% 196.73/197.17 Done
% 196.73/197.17
% 196.73/197.17
% 196.73/197.17 Intermediate Status:
% 196.73/197.17 Generated: 288019
% 196.73/197.17 Kept: 107722
% 196.73/197.17 Inuse: 1941
% 196.73/197.17 Deleted: 2728
% 196.73/197.17 Deletedinuse: 20
% 196.73/197.17
% 196.73/197.17 Resimplifying inuse:
% 196.73/197.17 Done
% 196.73/197.17
% 196.73/197.17 *** allocated 6568290 integers for clauses
% 196.73/197.17 Resimplifying inuse:
% 196.73/197.17 Done
% 196.73/197.17
% 196.73/197.17
% 196.73/197.17 Intermediate Status:
% 196.73/197.17 Generated: 292987
% 196.73/197.17 Kept: 109739
% 196.73/197.17 Inuse: 1947
% 196.73/197.17 Deleted: 2728
% 196.73/197.17 Deletedinuse: 20
% 196.73/197.17
% 196.73/197.17 Resimplifying inuse:
% 196.73/197.17 Done
% 196.73/197.17
% 196.73/197.17
% 196.73/197.17 Intermediate Status:
% 196.73/197.17 Generated: 297829
% 196.73/197.17 Kept: 111747
% 196.73/197.17 Inuse: 1968
% 196.73/197.17 Deleted: 2728
% 196.73/197.17 Deletedinuse: 20
% 196.73/197.17
% 196.73/197.17 Resimplifying inuse:
% 196.73/197.17 Done
% 196.73/197.17
% 196.73/197.17 Resimplifying inuse:
% 196.73/197.17 Done
% 196.73/197.17
% 196.73/197.17
% 196.73/197.17 Intermediate Status:
% 196.73/197.17 Generated: 302619
% 196.73/197.17 Kept: 113789
% 196.73/197.17 Inuse: 1985
% 196.73/197.17 Deleted: 2728
% 196.73/197.17 Deletedinuse: 20
% 196.73/197.17
% 196.73/197.17 Resimplifying inuse:
% 196.73/197.17 Done
% 196.73/197.17
% 196.73/197.17 Resimplifying inuse:
% 196.73/197.17 Done
% 196.73/197.17
% 196.73/197.17
% 196.73/197.17 Intermediate Status:
% 196.73/197.17 Generated: 307384
% 196.73/197.17 Kept: 115802
% 196.73/197.17 Inuse: 2001
% 196.73/197.17 Deleted: 2728
% 196.73/197.17 Deletedinuse: 20
% 196.73/197.17
% 196.73/197.17 Resimplifying inuse:
% 196.73/197.17 Done
% 196.73/197.17
% 196.73/197.17 Resimplifying inuse:
% 196.73/197.17 Done
% 196.73/197.17
% 196.73/197.17
% 196.73/197.17 Intermediate Status:
% 196.73/197.17 Generated: 312148
% 196.73/197.17 Kept: 117884
% 196.73/197.17 Inuse: 2023
% 196.73/197.17 Deleted: 2728
% 196.73/197.17 Deletedinuse: 20
% 196.73/197.17
% 196.73/197.17 Resimplifying inuse:
% 196.73/197.17 Done
% 196.73/197.17
% 196.73/197.17 Resimplifying inuse:
% 196.73/197.17 Done
% 196.73/197.17
% 196.73/197.17
% 196.73/197.17 Intermediate Status:
% 196.73/197.17 Generated: 316936
% 196.73/197.17 Kept: 119974
% 196.73/197.17 Inuse: 2041
% 196.73/197.17 Deleted: 2728
% 196.73/197.17 Deletedinuse: 20
% 196.73/197.17
% 196.73/197.17 Resimplifying inuse:
% 196.73/197.17 Done
% 196.73/197.17
% 196.73/197.17 Resimplifying clauses:
% 196.73/197.17 Done
% 196.73/197.17
% 196.73/197.17 Resimplifying inuse:
% 196.73/197.17 Done
% 196.73/197.17
% 196.73/197.17
% 196.73/197.17 Intermediate Status:
% 196.73/197.17 Generated: 324404
% 196.73/197.17 Kept: 122013
% 196.73/197.17 Inuse: 2060
% 196.73/197.17 Deleted: 6306
% 196.73/197.17 Deletedinuse: 41
% 196.73/197.17
% 196.73/197.17 Resimplifying inuse:
% 196.73/197.17 Done
% 196.73/197.17
% 196.73/197.17 Resimplifying inuse:
% 196.73/197.17 Done
% 196.73/197.17
% 196.73/197.17
% 196.73/197.17 Intermediate Status:
% 196.73/197.17 Generated: 330478
% 196.73/197.17 Kept: 124050
% 196.73/197.17 Inuse: 2082
% 196.73/197.17 Deleted: 6306
% 196.73/197.17 Deletedinuse: 41
% 196.73/197.17
% 196.73/197.17 Resimplifying inuse:
% 196.73/197.17 Done
% 196.73/197.17
% 196.73/197.17 Resimplifying inuse:
% 196.73/197.17 Done
% 196.73/197.17
% 196.73/197.17
% 196.73/197.17 Intermediate Status:
% 196.73/197.17 Generated: 337758
% 196.73/197.17 Kept: 126060
% 196.73/197.17 Inuse: 2106
% 196.73/197.17 Deleted: 6307
% 196.73/197.17 Deletedinuse: 42
% 196.73/197.17
% 196.73/197.17 Resimplifying inuse:
% 196.73/197.17 Done
% 196.73/197.17
% 196.73/197.17 Resimplifying inuse:
% 196.73/197.17 Done
% 196.73/197.17
% 196.73/197.17
% 196.73/197.17 Intermediate Status:
% 196.73/197.17 Generated: 349666
% 196.73/197.17 Kept: 129221
% 196.73/197.17 Inuse: 2129
% 196.73/197.17 Deleted: 6310
% 196.73/197.17 Deletedinuse: 43
% 196.73/197.17
% 196.73/197.17 Resimplifying inuse:
% 196.73/197.17 Done
% 196.73/197.17
% 196.73/197.17 Resimplifying inuse:
% 196.73/197.17 Done
% 196.73/197.17
% 196.73/197.17
% 196.73/197.17 Intermediate Status:
% 196.73/197.17 Generated: 354992
% 196.73/197.17 Kept: 131269
% 196.73/197.17 Inuse: 2139
% 196.73/197.17 Deleted: 6311
% 196.73/197.17 Deletedinuse: 43
% 196.73/197.17
% 196.73/197.17 Resimplifying inuse:
% 196.73/197.17 Done
% 196.73/197.17
% 196.73/197.17
% 196.73/197.17 Intermediate Status:
% 196.73/197.17 Generated: 361199
% 196.73/197.17 Kept: 133689
% 196.73/197.17 Inuse: 2148
% 196.73/197.17 Deleted: 6311
% 196.73/197.17 Deletedinuse: 43
% 196.73/197.17
% 196.73/197.17 Resimplifying inuse:
% 196.73/197.17 Done
% 196.73/197.17
% 196.73/197.17 Resimplifying inuse:
% 196.73/197.17 Done
% 196.73/197.17
% 196.73/197.17
% 196.73/197.17 Intermediate Status:
% 196.73/197.17 Generated: 366820
% 196.73/197.17 Kept: 135792
% 196.73/197.17 Inuse: 2155
% 196.73/197.17 Deleted: 6311
% 196.73/197.17 Deletedinuse: 43
% 196.73/197.17
% 196.73/197.17 *** allocated 4378860 integers for termspace/termends
% 196.73/197.17
% 196.73/197.17 Intermediate Status:
% 196.73/197.17 Generated: 380789
% 196.73/197.17 Kept: 138707
% 196.73/197.17 Inuse: 2158
% 196.73/197.17 Deleted: 6311
% 196.73/197.17 Deletedinuse: 43
% 196.73/197.17
% 196.73/197.17 Resimplifying inuse:
% 196.73/197.17 Done
% 196.73/197.17
% 196.73/197.17 Resimplifying inuse:
% 196.73/197.17 Done
% 196.73/197.17
% 196.73/197.17
% 196.73/197.17 Intermediate Status:
% 196.73/197.17 Generated: 390244
% 196.73/197.17 Kept: 141812
% 196.73/197.17 Inuse: 2168
% 196.73/197.17 Deleted: 6311
% 196.73/197.17 Deletedinuse: 43
% 196.73/197.17
% 196.73/197.17 Resimplifying inuse:
% 196.73/197.17 Done
% 196.73/197.17
% 196.73/197.17 ResimplifyinCputime limit exceeded (core dumped)
%------------------------------------------------------------------------------