TSTP Solution File: SWV875-1 by ConnectPP---0.3.0
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : ConnectPP---0.3.0
% Problem : SWV875-1 : TPTP v8.1.2. Released v4.1.0.
% Transfm : none
% Format : tptp:raw
% Command : connect++ --verbosity 0 --no-colour --tptp-proof --schedule default %s
% Computer : n007.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 : 300s
% DateTime : Mon Mar 25 14:39:40 EDT 2024
% Result : Unsatisfiable 12.66s 12.89s
% Output : Proof 12.73s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.06/0.12 % Problem : SWV875-1 : TPTP v8.1.2. Released v4.1.0.
% 0.06/0.13 % Command : connect++ --verbosity 0 --no-colour --tptp-proof --schedule default %s
% 0.13/0.34 % Computer : n007.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 % WCLimit : 300
% 0.13/0.34 % DateTime : Thu Mar 21 08:27:14 EDT 2024
% 0.13/0.34 % CPUTime :
% 12.66/12.89 % SZS status Unsatisfiable for theBenchmark
% 12.66/12.89 % SZS output start Proof for theBenchmark
% 12.66/12.89
% 12.66/12.89 % Problem matrix:
% 12.66/12.89 cnf(matrix-0, plain, ( ( __eqx_0 = __eqx_0) )).
% 12.66/12.89 cnf(matrix-1, plain, ( ( __eqx_0 != __eqx_1) | ( __eqx_1 = __eqx_0) )).
% 12.66/12.89 cnf(matrix-2, plain, ( ( __eqx_0 != __eqx_1) | ( __eqx_1 != __eqx_2) | ( __eqx_0 = __eqx_2) )).
% 12.66/12.89 cnf(matrix-3, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( hAPP(__eqx_0, __eqx_1) = hAPP(__eqy_0, __eqy_1)) )).
% 12.66/12.89 cnf(matrix-4, plain, ( ( __eqx_0 != __eqy_0) | ( c_lessequals(__eqx_0) = c_lessequals(__eqy_0)) )).
% 12.66/12.89 cnf(matrix-5, plain, ( ( __eqx_0 != __eqy_0) | ( c_Orderings_Oord__class_Omin(__eqx_0) = c_Orderings_Oord__class_Omin(__eqy_0)) )).
% 12.66/12.89 cnf(matrix-6, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( tc_fun(__eqx_0, __eqx_1) = tc_fun(__eqy_0, __eqy_1)) )).
% 12.66/12.89 cnf(matrix-7, plain, ( ( __eqx_0 != __eqy_0) | ( c_Lattices_Oupper__semilattice__class_Osup(__eqx_0) = c_Lattices_Oupper__semilattice__class_Osup(__eqy_0)) )).
% 12.66/12.89 cnf(matrix-8, plain, ( ( __eqx_0 != __eqy_0) | ( c_Lattices_Olower__semilattice__class_Oinf(__eqx_0) = c_Lattices_Olower__semilattice__class_Oinf(__eqy_0)) )).
% 12.66/12.89 cnf(matrix-9, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( c_SetInterval_Oord__class_OatLeastAtMost(__eqx_0, __eqx_1, __eqx_2) = c_SetInterval_Oord__class_OatLeastAtMost(__eqy_0, __eqy_1, __eqy_2)) )).
% 12.66/12.89 cnf(matrix-10, plain, ( ( __eqx_0 != __eqy_0) | ( c_HOL_Oplus__class_Oplus(__eqx_0) = c_HOL_Oplus__class_Oplus(__eqy_0)) )).
% 12.66/12.89 cnf(matrix-11, plain, ( ( __eqx_0 != __eqy_0) | ( c_HOL_Ozero__class_Ozero(__eqx_0) = c_HOL_Ozero__class_Ozero(__eqy_0)) )).
% 12.66/12.89 cnf(matrix-12, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( __eqx_3 != __eqy_3) | ( __eqx_4 != __eqy_4) | ( __eqx_5 != __eqy_5) | ( c_Finite__Set_Ofold__image(__eqx_0, __eqx_1, __eqx_2, __eqx_3, __eqx_4, __eqx_5) = c_Finite__Set_Ofold__image(__eqy_0, __eqy_1, __eqy_2, __eqy_3, __eqy_4, __eqy_5)) )).
% 12.66/12.89 cnf(matrix-13, plain, ( ( __eqx_0 != __eqy_0) | ( c_Orderings_Oord__class_Omax(__eqx_0) = c_Orderings_Oord__class_Omax(__eqy_0)) )).
% 12.66/12.89 cnf(matrix-14, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( c_HOL_Ominus__class_Ominus(__eqx_0, __eqx_1, __eqx_2) = c_HOL_Ominus__class_Ominus(__eqy_0, __eqy_1, __eqy_2)) )).
% 12.66/12.89 cnf(matrix-15, plain, ( ( __eqx_0 != __eqy_0) | ( c_HOL_Oord__class_Oless(__eqx_0) = c_HOL_Oord__class_Oless(__eqy_0)) )).
% 12.66/12.89 cnf(matrix-16, plain, ( ( __eqx_0 != __eqy_0) | ( c_HOL_Otimes__class_Otimes(__eqx_0) = c_HOL_Otimes__class_Otimes(__eqy_0)) )).
% 12.66/12.89 cnf(matrix-17, plain, ( ( __eqx_0 != __eqy_0) | ( c_fequal(__eqx_0) = c_fequal(__eqy_0)) )).
% 12.66/12.89 cnf(matrix-18, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( __eqx_3 != __eqy_3) | ( c_COMBC(__eqx_0, __eqx_1, __eqx_2, __eqx_3) = c_COMBC(__eqy_0, __eqy_1, __eqy_2, __eqy_3)) )).
% 12.66/12.89 cnf(matrix-19, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( c_The(__eqx_0, __eqx_1) = c_The(__eqy_0, __eqy_1)) )).
% 12.66/12.89 cnf(matrix-20, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( __eqx_3 != __eqy_3) | ( __eqx_4 != __eqy_4) | ( c_Finite__Set_Ofold(__eqx_0, __eqx_1, __eqx_2, __eqx_3, __eqx_4) = c_Finite__Set_Ofold(__eqy_0, __eqy_1, __eqy_2, __eqy_3, __eqy_4)) )).
% 12.66/12.89 cnf(matrix-21, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( __eqx_3 != __eqy_3) | ( __eqx_4 != __eqy_4) | ( c_Finite__Set_Ofold__graph(__eqx_0, __eqx_1, __eqx_2, __eqx_3, __eqx_4) = c_Finite__Set_Ofold__graph(__eqy_0, __eqy_1, __eqy_2, __eqy_3, __eqy_4)) )).
% 12.66/12.89 cnf(matrix-22, plain, ( ( __eqx_0 != __eqy_0) | ( c_Option_Ooption_OSome(__eqx_0) = c_Option_Ooption_OSome(__eqy_0)) )).
% 12.66/12.89 cnf(matrix-23, plain, ( ( __eqx_0 != __eqy_0) | ( tc_Option_Ooption(__eqx_0) = tc_Option_Ooption(__eqy_0)) )).
% 12.66/12.89 cnf(matrix-24, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( __eqx_3 != __eqy_3) | ( __eqx_4 != __eqy_4) | ( c_Fun_Ofun__upd(__eqx_0, __eqx_1, __eqx_2, __eqx_3, __eqx_4) = c_Fun_Ofun__upd(__eqy_0, __eqy_1, __eqy_2, __eqy_3, __eqy_4)) )).
% 12.66/12.89 cnf(matrix-25, plain, ( ( __eqx_0 != __eqy_0) | ( c_Option_Ooption_ONone(__eqx_0) = c_Option_Ooption_ONone(__eqy_0)) )).
% 12.66/12.89 cnf(matrix-26, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( c_COMBK(__eqx_0, __eqx_1, __eqx_2) = c_COMBK(__eqy_0, __eqy_1, __eqy_2)) )).
% 12.66/12.89 cnf(matrix-27, plain, ( ( __eqx_0 != __eqy_0) | ( c_in(__eqx_0) = c_in(__eqy_0)) )).
% 12.66/12.89 cnf(matrix-28, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( c_SetInterval_Oord__class_OlessThan(__eqx_0, __eqx_1) = c_SetInterval_Oord__class_OlessThan(__eqy_0, __eqy_1)) )).
% 12.66/12.89 cnf(matrix-29, plain, ( ( __eqx_0 != __eqy_0) | ( c_Suc(__eqx_0) = c_Suc(__eqy_0)) )).
% 12.66/12.89 cnf(matrix-30, plain, ( ( __eqx_0 != __eqy_0) | ( c_Orderings_Obot__class_Obot(__eqx_0) = c_Orderings_Obot__class_Obot(__eqy_0)) )).
% 12.66/12.89 cnf(matrix-31, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( __eqx_3 != __eqy_3) | ( c_Finite__Set_Osetsum(__eqx_0, __eqx_1, __eqx_2, __eqx_3) = c_Finite__Set_Osetsum(__eqy_0, __eqy_1, __eqy_2, __eqy_3)) )).
% 12.66/12.89 cnf(matrix-32, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( c_Finite__Set_Ocard(__eqx_0, __eqx_1) = c_Finite__Set_Ocard(__eqy_0, __eqy_1)) )).
% 12.66/12.89 cnf(matrix-33, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( __eqx_3 != __eqy_3) | ( __eqx_4 != __eqy_4) | ( c_Option_Ooption_Ooption__case(__eqx_0, __eqx_1, __eqx_2, __eqx_3, __eqx_4) = c_Option_Ooption_Ooption__case(__eqy_0, __eqy_1, __eqy_2, __eqy_3, __eqy_4)) )).
% 12.66/12.89 cnf(matrix-34, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( __eqx_3 != __eqy_3) | ( c_Map_Orestrict__map(__eqx_0, __eqx_1, __eqx_2, __eqx_3) = c_Map_Orestrict__map(__eqy_0, __eqy_1, __eqy_2, __eqy_3)) )).
% 12.66/12.89 cnf(matrix-35, plain, ( ( __eqx_0 != __eqy_0) | ( c_Set_Oinsert(__eqx_0) = c_Set_Oinsert(__eqy_0)) )).
% 12.66/12.89 cnf(matrix-36, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( c_Map_Odom(__eqx_0, __eqx_1, __eqx_2) = c_Map_Odom(__eqy_0, __eqy_1, __eqy_2)) )).
% 12.66/12.89 cnf(matrix-37, plain, ( ( __eqx_0 != __eqy_0) | ( c_Finite__Set_Olattice__class_OInf__fin(__eqx_0) = c_Finite__Set_Olattice__class_OInf__fin(__eqy_0)) )).
% 12.66/12.89 cnf(matrix-38, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( c_Finite__Set_Ofold1(__eqx_0, __eqx_1) = c_Finite__Set_Ofold1(__eqy_0, __eqy_1)) )).
% 12.66/12.89 cnf(matrix-39, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( c_Complete__Lattice_OInf__class_OInf(__eqx_0, __eqx_1) = c_Complete__Lattice_OInf__class_OInf(__eqy_0, __eqy_1)) )).
% 12.66/12.89 cnf(matrix-40, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( __eqx_3 != __eqy_3) | ( c_Finite__Set_Osetprod(__eqx_0, __eqx_1, __eqx_2, __eqx_3) = c_Finite__Set_Osetprod(__eqy_0, __eqy_1, __eqy_2, __eqy_3)) )).
% 12.66/12.89 cnf(matrix-41, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( __eqx_3 != __eqy_3) | ( c_Map_Osko__Map__Xmap__le__def__1__1(__eqx_0, __eqx_1, __eqx_2, __eqx_3) = c_Map_Osko__Map__Xmap__le__def__1__1(__eqy_0, __eqy_1, __eqy_2, __eqy_3)) )).
% 12.66/12.89 cnf(matrix-42, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( __eqx_3 != __eqy_3) | ( c_Set_Ovimage(__eqx_0, __eqx_1, __eqx_2, __eqx_3) = c_Set_Ovimage(__eqy_0, __eqy_1, __eqy_2, __eqy_3)) )).
% 12.66/12.89 cnf(matrix-43, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( c_Complete__Lattice_OSup__class_OSup(__eqx_0, __eqx_1) = c_Complete__Lattice_OSup__class_OSup(__eqy_0, __eqy_1)) )).
% 12.66/12.89 cnf(matrix-44, plain, ( ( __eqx_0 != __eqy_0) | ( c_Finite__Set_Olinorder__class_OMax(__eqx_0) = c_Finite__Set_Olinorder__class_OMax(__eqy_0)) )).
% 12.66/12.89 cnf(matrix-45, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( c_ATP__Linkup_Osko__Finite__Set__Xlinorder__class__XMax__eqI__1__1(__eqx_0, __eqx_1, __eqx_2) = c_ATP__Linkup_Osko__Finite__Set__Xlinorder__class__XMax__eqI__1__1(__eqy_0, __eqy_1, __eqy_2)) )).
% 12.66/12.89 cnf(matrix-46, plain, ( ( __eqx_0 != __eqy_0) | ( c_Finite__Set_Olinorder__class_OMin(__eqx_0) = c_Finite__Set_Olinorder__class_OMin(__eqy_0)) )).
% 12.66/12.89 cnf(matrix-47, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( c_ATP__Linkup_Osko__Finite__Set__Xlinorder__class__XMin__eqI__1__1(__eqx_0, __eqx_1, __eqx_2) = c_ATP__Linkup_Osko__Finite__Set__Xlinorder__class__XMin__eqI__1__1(__eqy_0, __eqy_1, __eqy_2)) )).
% 12.66/12.89 cnf(matrix-48, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( c_Option_Oset(__eqx_0, __eqx_1) = c_Option_Oset(__eqy_0, __eqy_1)) )).
% 12.66/12.89 cnf(matrix-49, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( __eqx_3 != __eqy_3) | ( c_Map_Omap__add(__eqx_0, __eqx_1, __eqx_2, __eqx_3) = c_Map_Omap__add(__eqy_0, __eqy_1, __eqy_2, __eqy_3)) )).
% 12.66/12.89 cnf(matrix-50, plain, ( ( __eqx_0 != __eqy_0) | ( c_Com_Ocom_OBODY(__eqx_0) = c_Com_Ocom_OBODY(__eqy_0)) )).
% 12.66/12.89 cnf(matrix-51, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( c_Com_Ocom_OSemi(__eqx_0, __eqx_1) = c_Com_Ocom_OSemi(__eqy_0, __eqy_1)) )).
% 12.66/12.89 cnf(matrix-52, plain, ( ( __eqx_0 != __eqy_0) | ( c_Natural_Oevalc(__eqx_0) = c_Natural_Oevalc(__eqy_0)) )).
% 12.66/12.89 cnf(matrix-53, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( c_Nitpick_Osko__Nitpick__XEx1__def__1__3(__eqx_0, __eqx_1) = c_Nitpick_Osko__Nitpick__XEx1__def__1__3(__eqy_0, __eqy_1)) )).
% 12.66/12.89 cnf(matrix-54, plain, ( ( __eqx_0 != __eqy_0) | ( tc_Hoare__Mirabelle_Otriple(__eqx_0) = tc_Hoare__Mirabelle_Otriple(__eqy_0)) )).
% 12.66/12.89 cnf(matrix-55, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( __eqx_3 != __eqy_3) | ( c_Hoare__Mirabelle_Otriple_Otriple(__eqx_0, __eqx_1, __eqx_2, __eqx_3) = c_Hoare__Mirabelle_Otriple_Otriple(__eqy_0, __eqy_1, __eqy_2, __eqy_3)) )).
% 12.66/12.89 cnf(matrix-56, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( __eqx_3 != __eqy_3) | ( v_sko__Hoare__Mirabelle__Xescape__2(__eqx_0, __eqx_1, __eqx_2, __eqx_3) = v_sko__Hoare__Mirabelle__Xescape__2(__eqy_0, __eqy_1, __eqy_2, __eqy_3)) )).
% 12.66/12.89 cnf(matrix-57, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( __eqx_3 != __eqy_3) | ( v_sko__Hoare__Mirabelle__Xescape__1(__eqx_0, __eqx_1, __eqx_2, __eqx_3) = v_sko__Hoare__Mirabelle__Xescape__1(__eqy_0, __eqy_1, __eqy_2, __eqy_3)) )).
% 12.66/12.89 cnf(matrix-58, plain, ( ( __eqx_0 != __eqy_0) | ( c_Hoare__Mirabelle_OMGT(__eqx_0) = c_Hoare__Mirabelle_OMGT(__eqy_0)) )).
% 12.66/12.89 cnf(matrix-59, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( c_Finite__Set_Ofold1Set(__eqx_0, __eqx_1, __eqx_2) = c_Finite__Set_Ofold1Set(__eqy_0, __eqy_1, __eqy_2)) )).
% 12.66/12.89 cnf(matrix-60, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( c_ATP__Linkup_Osko__Finite__Set__Xfinite__nonempty__imp__fold1Set__1__1(__eqx_0, __eqx_1, __eqx_2) = c_ATP__Linkup_Osko__Finite__Set__Xfinite__nonempty__imp__fold1Set__1__1(__eqy_0, __eqy_1, __eqy_2)) )).
% 12.66/12.89 cnf(matrix-61, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( __eqx_3 != __eqy_3) | ( c_Map_Osko__Map__XdomD__1__1(__eqx_0, __eqx_1, __eqx_2, __eqx_3) = c_Map_Osko__Map__XdomD__1__1(__eqy_0, __eqy_1, __eqy_2, __eqy_3)) )).
% 12.66/12.89 cnf(matrix-62, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( c_ATP__Linkup_Osko__Finite__Set__Xab__semigroup__mult__Xfold1__in__1__1(__eqx_0, __eqx_1) = c_ATP__Linkup_Osko__Finite__Set__Xab__semigroup__mult__Xfold1__in__1__1(__eqy_0, __eqy_1)) )).
% 12.66/12.89 cnf(matrix-63, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( c_ATP__Linkup_Osko__Finite__Set__Xab__semigroup__mult__Xfold1__in__1__2(__eqx_0, __eqx_1) = c_ATP__Linkup_Osko__Finite__Set__Xab__semigroup__mult__Xfold1__in__1__2(__eqy_0, __eqy_1)) )).
% 12.66/12.89 cnf(matrix-64, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( c_Finite__Set_Olattice_OSup__fin(__eqx_0, __eqx_1, __eqx_2) = c_Finite__Set_Olattice_OSup__fin(__eqy_0, __eqy_1, __eqy_2)) )).
% 12.66/12.89 cnf(matrix-65, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( c_Finite__Set_Olattice_OInf__fin(__eqx_0, __eqx_1, __eqx_2) = c_Finite__Set_Olattice_OInf__fin(__eqy_0, __eqy_1, __eqy_2)) )).
% 12.66/12.89 cnf(matrix-66, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( c_Option_Othe(__eqx_0, __eqx_1) = c_Option_Othe(__eqy_0, __eqy_1)) )).
% 12.66/12.89 cnf(matrix-67, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( c_Set_Ocontents(__eqx_0, __eqx_1) = c_Set_Ocontents(__eqy_0, __eqy_1)) )).
% 12.66/12.89 cnf(matrix-68, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( __eqx_3 != __eqy_3) | ( __eqx_4 != __eqy_4) | ( __eqx_5 != __eqy_5) | ( v_sko__Hoare__Mirabelle__Xhoare__derivs__Xconseq__3(__eqx_0, __eqx_1, __eqx_2, __eqx_3, __eqx_4, __eqx_5) = v_sko__Hoare__Mirabelle__Xhoare__derivs__Xconseq__3(__eqy_0, __eqy_1, __eqy_2, __eqy_3, __eqy_4, __eqy_5)) )).
% 12.66/12.89 cnf(matrix-69, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( __eqx_3 != __eqy_3) | ( v_sko__Hoare__Mirabelle__Xhoare__derivs__Xconseq__2(__eqx_0, __eqx_1, __eqx_2, __eqx_3) = v_sko__Hoare__Mirabelle__Xhoare__derivs__Xconseq__2(__eqy_0, __eqy_1, __eqy_2, __eqy_3)) )).
% 12.66/12.89 cnf(matrix-70, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( __eqx_3 != __eqy_3) | ( v_sko__Hoare__Mirabelle__Xconseq12__3(__eqx_0, __eqx_1, __eqx_2, __eqx_3) = v_sko__Hoare__Mirabelle__Xconseq12__3(__eqy_0, __eqy_1, __eqy_2, __eqy_3)) )).
% 12.66/12.89 cnf(matrix-71, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( __eqx_3 != __eqy_3) | ( v_sko__Hoare__Mirabelle__Xconseq12__2(__eqx_0, __eqx_1, __eqx_2, __eqx_3) = v_sko__Hoare__Mirabelle__Xconseq12__2(__eqy_0, __eqy_1, __eqy_2, __eqy_3)) )).
% 12.66/12.89 cnf(matrix-72, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( __eqx_3 != __eqy_3) | ( __eqx_4 != __eqy_4) | ( __eqx_5 != __eqy_5) | ( v_sko__Hoare__Mirabelle__Xhoare__derivs__Xintros__6__3(__eqx_0, __eqx_1, __eqx_2, __eqx_3, __eqx_4, __eqx_5) = v_sko__Hoare__Mirabelle__Xhoare__derivs__Xintros__6__3(__eqy_0, __eqy_1, __eqy_2, __eqy_3, __eqy_4, __eqy_5)) )).
% 12.66/12.89 cnf(matrix-73, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( __eqx_3 != __eqy_3) | ( v_sko__Hoare__Mirabelle__Xhoare__derivs__Xintros__6__2(__eqx_0, __eqx_1, __eqx_2, __eqx_3) = v_sko__Hoare__Mirabelle__Xhoare__derivs__Xintros__6__2(__eqy_0, __eqy_1, __eqy_2, __eqy_3)) )).
% 12.66/12.89 cnf(matrix-74, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( __eqx_3 != __eqy_3) | ( v_sko__Hoare__Mirabelle__Xhoare__derivs__Xintros__6__1(__eqx_0, __eqx_1, __eqx_2, __eqx_3) = v_sko__Hoare__Mirabelle__Xhoare__derivs__Xintros__6__1(__eqy_0, __eqy_1, __eqy_2, __eqy_3)) )).
% 12.66/12.89 cnf(matrix-75, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( __eqx_3 != __eqy_3) | ( v_sko__Hoare__Mirabelle__Xhoare__derivs__Xconseq__1(__eqx_0, __eqx_1, __eqx_2, __eqx_3) = v_sko__Hoare__Mirabelle__Xhoare__derivs__Xconseq__1(__eqy_0, __eqy_1, __eqy_2, __eqy_3)) )).
% 12.66/12.89 cnf(matrix-76, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( v_sko__Hoare__Mirabelle__Xconseq2__1(__eqx_0, __eqx_1) = v_sko__Hoare__Mirabelle__Xconseq2__1(__eqy_0, __eqy_1)) )).
% 12.66/12.89 cnf(matrix-77, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( v_sko__Hoare__Mirabelle__Xconseq2__2(__eqx_0, __eqx_1) = v_sko__Hoare__Mirabelle__Xconseq2__2(__eqy_0, __eqy_1)) )).
% 12.66/12.89 cnf(matrix-78, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( __eqx_3 != __eqy_3) | ( v_sko__Hoare__Mirabelle__Xconseq12__1(__eqx_0, __eqx_1, __eqx_2, __eqx_3) = v_sko__Hoare__Mirabelle__Xconseq12__1(__eqy_0, __eqy_1, __eqy_2, __eqy_3)) )).
% 12.66/12.89 cnf(matrix-79, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( v_sko__Hoare__Mirabelle__Xconseq1__1(__eqx_0, __eqx_1) = v_sko__Hoare__Mirabelle__Xconseq1__1(__eqy_0, __eqy_1)) )).
% 12.66/12.89 cnf(matrix-80, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( v_sko__Hoare__Mirabelle__Xconseq1__2(__eqx_0, __eqx_1) = v_sko__Hoare__Mirabelle__Xconseq1__2(__eqy_0, __eqy_1)) )).
% 12.66/12.89 cnf(matrix-81, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( __eqx_3 != __eqy_3) | ~c_Lattices_Olower__semilattice(__eqx_0, __eqx_1, __eqx_2, __eqx_3) | c_Lattices_Olower__semilattice(__eqy_0, __eqy_1, __eqy_2, __eqy_3) )).
% 12.66/12.89 cnf(matrix-82, plain, ( ( __eqx_0 != __eqy_0) | ~hBOOL(__eqx_0) | hBOOL(__eqy_0) )).
% 12.66/12.89 cnf(matrix-83, plain, ( ( __eqx_0 != __eqy_0) | ~class_Orderings_Olinorder(__eqx_0) | class_Orderings_Olinorder(__eqy_0) )).
% 12.66/12.89 cnf(matrix-84, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ~c_OrderedGroup_Oab__semigroup__idem__mult(__eqx_0, __eqx_1) | c_OrderedGroup_Oab__semigroup__idem__mult(__eqy_0, __eqy_1) )).
% 12.66/12.89 cnf(matrix-85, plain, ( ( __eqx_0 != __eqy_0) | ~class_Orderings_Oorder(__eqx_0) | class_Orderings_Oorder(__eqy_0) )).
% 12.66/12.89 cnf(matrix-86, plain, ( ( __eqx_0 != __eqy_0) | ~class_OrderedGroup_Ocomm__monoid__add(__eqx_0) | class_OrderedGroup_Ocomm__monoid__add(__eqy_0) )).
% 12.66/12.89 cnf(matrix-87, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ~c_Finite__Set_Ofinite(__eqx_0, __eqx_1) | c_Finite__Set_Ofinite(__eqy_0, __eqy_1) )).
% 12.66/12.89 cnf(matrix-88, plain, ( ( __eqx_0 != __eqy_0) | ~class_Ring__and__Field_Oidom(__eqx_0) | class_Ring__and__Field_Oidom(__eqy_0) )).
% 12.66/12.89 cnf(matrix-89, plain, ( ( __eqx_0 != __eqy_0) | ~class_Int_Onumber__ring(__eqx_0) | class_Int_Onumber__ring(__eqy_0) )).
% 12.66/12.89 cnf(matrix-90, plain, ( ( __eqx_0 != __eqy_0) | ~class_OrderedGroup_Ogroup__add(__eqx_0) | class_OrderedGroup_Ogroup__add(__eqy_0) )).
% 12.66/12.89 cnf(matrix-91, plain, ( ( __eqx_0 != __eqy_0) | ~class_OrderedGroup_Oab__group__add(__eqx_0) | class_OrderedGroup_Oab__group__add(__eqy_0) )).
% 12.66/12.89 cnf(matrix-92, plain, ( ( __eqx_0 != __eqy_0) | ~class_Ring__and__Field_Oordered__semiring(__eqx_0) | class_Ring__and__Field_Oordered__semiring(__eqy_0) )).
% 12.66/12.89 cnf(matrix-93, plain, ( ( __eqx_0 != __eqy_0) | ~class_Ring__and__Field_Oordered__semiring__strict(__eqx_0) | class_Ring__and__Field_Oordered__semiring__strict(__eqy_0) )).
% 12.66/12.89 cnf(matrix-94, plain, ( ( __eqx_0 != __eqy_0) | ~class_Ring__and__Field_Ocomm__semiring__1(__eqx_0) | class_Ring__and__Field_Ocomm__semiring__1(__eqy_0) )).
% 12.66/12.89 cnf(matrix-95, plain, ( ( __eqx_0 != __eqy_0) | ~class_Ring__and__Field_Oordered__ring__strict(__eqx_0) | class_Ring__and__Field_Oordered__ring__strict(__eqy_0) )).
% 12.66/12.89 cnf(matrix-96, plain, ( ( __eqx_0 != __eqy_0) | ~class_Ring__and__Field_Opordered__ring(__eqx_0) | class_Ring__and__Field_Opordered__ring(__eqy_0) )).
% 12.66/12.89 cnf(matrix-97, plain, ( ( __eqx_0 != __eqy_0) | ~class_OrderedGroup_Olordered__ab__group__add(__eqx_0) | class_OrderedGroup_Olordered__ab__group__add(__eqy_0) )).
% 12.66/12.89 cnf(matrix-98, plain, ( ( __eqx_0 != __eqy_0) | ~class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(__eqx_0) | class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(__eqy_0) )).
% 12.66/12.89 cnf(matrix-99, plain, ( ( __eqx_0 != __eqy_0) | ~class_HOL_Oord(__eqx_0) | class_HOL_Oord(__eqy_0) )).
% 12.66/12.89 cnf(matrix-100, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( __eqx_3 != __eqy_3) | ~c_Map_Omap__le(__eqx_0, __eqx_1, __eqx_2, __eqx_3) | c_Map_Omap__le(__eqy_0, __eqy_1, __eqy_2, __eqy_3) )).
% 12.66/12.89 cnf(matrix-101, plain, ( ( __eqx_0 != __eqy_0) | ~class_OrderedGroup_Opordered__comm__monoid__add(__eqx_0) | class_OrderedGroup_Opordered__comm__monoid__add(__eqy_0) )).
% 12.66/12.89 cnf(matrix-102, plain, ( ( __eqx_0 != __eqy_0) | ~class_Ring__and__Field_Oring__no__zero__divisors(__eqx_0) | class_Ring__and__Field_Oring__no__zero__divisors(__eqy_0) )).
% 12.66/12.89 cnf(matrix-103, plain, ( ( __eqx_0 != __eqy_0) | ~class_Ring__and__Field_Ono__zero__divisors(__eqx_0) | class_Ring__and__Field_Ono__zero__divisors(__eqy_0) )).
% 12.66/12.89 cnf(matrix-104, plain, ( ( __eqx_0 != __eqy_0) | ~class_Ring__and__Field_Oordered__idom(__eqx_0) | class_Ring__and__Field_Oordered__idom(__eqy_0) )).
% 12.66/12.89 cnf(matrix-105, plain, ( ( __eqx_0 != __eqy_0) | ~class_Lattices_Olattice(__eqx_0) | class_Lattices_Olattice(__eqy_0) )).
% 12.66/12.89 cnf(matrix-106, plain, ( ( __eqx_0 != __eqy_0) | ~class_Lattices_Olower__semilattice(__eqx_0) | class_Lattices_Olower__semilattice(__eqy_0) )).
% 12.66/12.89 cnf(matrix-107, plain, ( ( __eqx_0 != __eqy_0) | ~class_Lattices_Oupper__semilattice(__eqx_0) | class_Lattices_Oupper__semilattice(__eqy_0) )).
% 12.66/12.89 cnf(matrix-108, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ~c_Orderings_Olinorder(__eqx_0, __eqx_1, __eqx_2) | c_Orderings_Olinorder(__eqy_0, __eqy_1, __eqy_2) )).
% 12.66/12.89 cnf(matrix-109, plain, ( ( __eqx_0 != __eqy_0) | ~class_Ring__and__Field_Omult__zero(__eqx_0) | class_Ring__and__Field_Omult__zero(__eqy_0) )).
% 12.66/12.89 cnf(matrix-110, plain, ( ( __eqx_0 != __eqy_0) | ~class_Orderings_Opreorder(__eqx_0) | class_Orderings_Opreorder(__eqy_0) )).
% 12.66/12.89 cnf(matrix-111, plain, ( ( __eqx_0 != __eqy_0) | ~class_Ring__and__Field_Oring(__eqx_0) | class_Ring__and__Field_Oring(__eqy_0) )).
% 12.66/12.89 cnf(matrix-112, plain, ( ( __eqx_0 != __eqy_0) | ~class_OrderedGroup_Opordered__ab__group__add(__eqx_0) | class_OrderedGroup_Opordered__ab__group__add(__eqy_0) )).
% 12.66/12.89 cnf(matrix-113, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ~c_Finite__Set_Ofun__left__comm(__eqx_0, __eqx_1, __eqx_2) | c_Finite__Set_Ofun__left__comm(__eqy_0, __eqy_1, __eqy_2) )).
% 12.66/12.89 cnf(matrix-114, plain, ( ( __eqx_0 != __eqy_0) | ~class_OrderedGroup_Opordered__ab__semigroup__add(__eqx_0) | class_OrderedGroup_Opordered__ab__semigroup__add(__eqy_0) )).
% 12.66/12.89 cnf(matrix-115, plain, ( ( __eqx_0 != __eqy_0) | ~class_Lattices_Odistrib__lattice(__eqx_0) | class_Lattices_Odistrib__lattice(__eqy_0) )).
% 12.66/12.89 cnf(matrix-116, plain, ( ( __eqx_0 != __eqy_0) | ~class_OrderedGroup_Olordered__ab__group__add__join(__eqx_0) | class_OrderedGroup_Olordered__ab__group__add__join(__eqy_0) )).
% 12.66/12.89 cnf(matrix-117, plain, ( ( __eqx_0 != __eqy_0) | ~class_Complete__Lattice_Ocomplete__lattice(__eqx_0) | class_Complete__Lattice_Ocomplete__lattice(__eqy_0) )).
% 12.66/12.89 cnf(matrix-118, plain, ( ( __eqx_0 != __eqy_0) | ~class_OrderedGroup_Oab__semigroup__mult(__eqx_0) | class_OrderedGroup_Oab__semigroup__mult(__eqy_0) )).
% 12.66/12.89 cnf(matrix-119, plain, ( ( __eqx_0 != __eqy_0) | ~class_OrderedGroup_Oab__semigroup__add(__eqx_0) | class_OrderedGroup_Oab__semigroup__add(__eqy_0) )).
% 12.66/12.89 cnf(matrix-120, plain, ( ( __eqx_0 != __eqy_0) | ~class_OrderedGroup_Olordered__ab__group__add__meet(__eqx_0) | class_OrderedGroup_Olordered__ab__group__add__meet(__eqy_0) )).
% 12.66/12.89 cnf(matrix-121, plain, ( ( __eqx_0 != __eqy_0) | ~class_OrderedGroup_Ocomm__monoid__mult(__eqx_0) | class_OrderedGroup_Ocomm__monoid__mult(__eqy_0) )).
% 12.66/12.89 cnf(matrix-122, plain, ( ( __eqx_0 != __eqy_0) | ~class_OrderedGroup_Opordered__cancel__ab__semigroup__add(__eqx_0) | class_OrderedGroup_Opordered__cancel__ab__semigroup__add(__eqy_0) )).
% 12.66/12.89 cnf(matrix-123, plain, ( ( __eqx_0 != __eqy_0) | ~class_OrderedGroup_Oab__semigroup__idem__mult(__eqx_0) | class_OrderedGroup_Oab__semigroup__idem__mult(__eqy_0) )).
% 12.66/12.89 cnf(matrix-124, plain, ( ( __eqx_0 != __eqy_0) | ~class_Ring__and__Field_Oordered__semidom(__eqx_0) | class_Ring__and__Field_Oordered__semidom(__eqy_0) )).
% 12.66/12.89 cnf(matrix-125, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( __eqx_3 != __eqy_3) | ( __eqx_4 != __eqy_4) | ( __eqx_5 != __eqy_5) | ( __eqx_6 != __eqy_6) | ( __eqx_7 != __eqy_7) | ( __eqx_8 != __eqy_8) | ~c_Complete__Lattice_Ocomplete__lattice(__eqx_0, __eqx_1, __eqx_2, __eqx_3, __eqx_4, __eqx_5, __eqx_6, __eqx_7, __eqx_8) | c_Complete__Lattice_Ocomplete__lattice(__eqy_0, __eqy_1, __eqy_2, __eqy_3, __eqy_4, __eqy_5, __eqy_6, __eqy_7, __eqy_8) )).
% 12.66/12.89 cnf(matrix-126, plain, ( ( __eqx_0 != __eqy_0) | ~class_Ring__and__Field_Osemiring(__eqx_0) | class_Ring__and__Field_Osemiring(__eqy_0) )).
% 12.66/12.89 cnf(matrix-127, plain, ( ( __eqx_0 != __eqy_0) | ~class_Ring__and__Field_Opordered__cancel__semiring(__eqx_0) | class_Ring__and__Field_Opordered__cancel__semiring(__eqy_0) )).
% 12.66/12.89 cnf(matrix-128, plain, ( ( __eqx_0 != __eqy_0) | ~class_OrderedGroup_Ocancel__ab__semigroup__add(__eqx_0) | class_OrderedGroup_Ocancel__ab__semigroup__add(__eqy_0) )).
% 12.66/12.89 cnf(matrix-129, plain, ( ( __eqx_0 != __eqy_0) | ~class_OrderedGroup_Ocancel__semigroup__add(__eqx_0) | class_OrderedGroup_Ocancel__semigroup__add(__eqy_0) )).
% 12.66/12.89 cnf(matrix-130, plain, ( ( __eqx_0 != __eqy_0) | ~class_Ring__and__Field_Omult__mono(__eqx_0) | class_Ring__and__Field_Omult__mono(__eqy_0) )).
% 12.66/12.89 cnf(matrix-131, plain, ( ( __eqx_0 != __eqy_0) | ~class_Ring__and__Field_Omult__mono1(__eqx_0) | class_Ring__and__Field_Omult__mono1(__eqy_0) )).
% 12.66/12.89 cnf(matrix-132, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ~c_OrderedGroup_Oab__semigroup__mult(__eqx_0, __eqx_1) | c_OrderedGroup_Oab__semigroup__mult(__eqy_0, __eqy_1) )).
% 12.66/12.89 cnf(matrix-133, plain, ( ( __eqx_0 != __eqy_0) | ~class_Ring__and__Field_Oordered__comm__semiring__strict(__eqx_0) | class_Ring__and__Field_Oordered__comm__semiring__strict(__eqy_0) )).
% 12.66/12.89 cnf(matrix-134, plain, ( ( __eqx_0 != __eqy_0) | ~class_Ring__and__Field_Opordered__semiring(__eqx_0) | class_Ring__and__Field_Opordered__semiring(__eqy_0) )).
% 12.66/12.89 cnf(matrix-135, plain, ( ( __eqx_0 != __eqy_0) | ~class_OrderedGroup_Omonoid__add(__eqx_0) | class_OrderedGroup_Omonoid__add(__eqy_0) )).
% 12.66/12.89 cnf(matrix-136, plain, ( ( __eqx_0 != __eqy_0) | ~class_Lattices_Obounded__lattice(__eqx_0) | class_Lattices_Obounded__lattice(__eqy_0) )).
% 12.66/12.89 cnf(matrix-137, plain, ( ( __eqx_0 != __eqy_0) | ~class_Orderings_Obot(__eqx_0) | class_Orderings_Obot(__eqy_0) )).
% 12.66/12.89 cnf(matrix-138, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( __eqx_3 != __eqy_3) | ( __eqx_4 != __eqy_4) | ( __eqx_5 != __eqy_5) | ~c_Nitpick_Ofold__graph_H(__eqx_0, __eqx_1, __eqx_2, __eqx_3, __eqx_4, __eqx_5) | c_Nitpick_Ofold__graph_H(__eqy_0, __eqy_1, __eqy_2, __eqy_3, __eqy_4, __eqy_5) )).
% 12.66/12.89 cnf(matrix-139, plain, ( ( __eqx_0 != __eqy_0) | ~class_Ring__and__Field_Ocomm__semiring(__eqx_0) | class_Ring__and__Field_Ocomm__semiring(__eqy_0) )).
% 12.66/12.89 cnf(matrix-140, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ~c_Hoare__Mirabelle_Ohoare__valids(__eqx_0, __eqx_1, __eqx_2) | c_Hoare__Mirabelle_Ohoare__valids(__eqy_0, __eqy_1, __eqy_2) )).
% 12.66/12.89 cnf(matrix-141, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ~c_Hoare__Mirabelle_Ohoare__derivs(__eqx_0, __eqx_1, __eqx_2) | c_Hoare__Mirabelle_Ohoare__derivs(__eqy_0, __eqy_1, __eqy_2) )).
% 12.66/12.89 cnf(matrix-142, plain, ( ( __eqx_0 != __eqy_0) | ~class_Ring__and__Field_Ofield(__eqx_0) | class_Ring__and__Field_Ofield(__eqy_0) )).
% 12.66/12.89 cnf(matrix-143, plain, ( ( __eqx_0 != __eqy_0) | ~class_Finite__Set_Ofinite_Ofinite(__eqx_0) | class_Finite__Set_Ofinite_Ofinite(__eqy_0) )).
% 12.66/12.89 cnf(matrix-144, plain, ( ( __eqx_0 != __eqy_0) | ~class_HOL_Ominus(__eqx_0) | class_HOL_Ominus(__eqy_0) )).
% 12.66/12.89 cnf(matrix-145, plain, ( ( hAPP(hAPP(V_inf, V_x), V_y) != V_x) | ~c_Lattices_Olower__semilattice(V_less__eq, V_less, V_inf, T_a) | hBOOL(hAPP(hAPP(V_less__eq, V_x), V_y)) )).
% 12.66/12.89 cnf(matrix-146, plain, ( ( hAPP(hAPP(V_inf, V_x), V_y) = V_y) | ~hBOOL(hAPP(hAPP(V_less__eq, V_y), V_x)) | ~c_Lattices_Olower__semilattice(V_less__eq, V_less, V_inf, T_a) )).
% 12.66/12.89 cnf(matrix-147, plain, ( ~class_Orderings_Olinorder(T_a) | hBOOL(hAPP(hAPP(c_lessequals(T_a), V_x), V_a)) | ~hBOOL(hAPP(hAPP(c_lessequals(T_a), V_x), hAPP(hAPP(c_Orderings_Oord__class_Omin(T_a), V_a), V_b))) )).
% 12.66/12.89 cnf(matrix-148, plain, ( ~class_Orderings_Olinorder(T_a) | hBOOL(hAPP(hAPP(c_lessequals(T_a), V_x), V_b)) | ~hBOOL(hAPP(hAPP(c_lessequals(T_a), V_x), hAPP(hAPP(c_Orderings_Oord__class_Omin(T_a), V_a), V_b))) )).
% 12.66/12.89 cnf(matrix-149, plain, ( ~class_Orderings_Olinorder(T_a) | hBOOL(hAPP(hAPP(c_lessequals(T_a), hAPP(hAPP(c_Orderings_Oord__class_Omin(T_a), V_a), V_b)), V_x)) | ~hBOOL(hAPP(hAPP(c_lessequals(T_a), V_a), V_x)) )).
% 12.66/12.89 cnf(matrix-150, plain, ( ~class_Orderings_Olinorder(T_a) | hBOOL(hAPP(hAPP(c_lessequals(T_a), hAPP(hAPP(c_Orderings_Oord__class_Omin(T_a), V_a), V_b)), V_x)) | ~hBOOL(hAPP(hAPP(c_lessequals(T_a), V_b), V_x)) )).
% 12.66/12.89 cnf(matrix-151, plain, ( ~class_Orderings_Olinorder(T_a) | hBOOL(hAPP(hAPP(c_lessequals(T_a), hAPP(hAPP(c_Orderings_Oord__class_Omin(T_a), V_x), V_y)), V_z)) | ~hBOOL(hAPP(hAPP(c_lessequals(T_a), V_x), V_z)) )).
% 12.66/12.89 cnf(matrix-152, plain, ( ~class_Orderings_Olinorder(T_a) | hBOOL(hAPP(hAPP(c_lessequals(T_a), hAPP(hAPP(c_Orderings_Oord__class_Omin(T_a), V_x), V_y)), V_z)) | ~hBOOL(hAPP(hAPP(c_lessequals(T_a), V_y), V_z)) )).
% 12.66/12.89 cnf(matrix-153, plain, ( ~class_Orderings_Olinorder(T_a) | hBOOL(hAPP(hAPP(c_lessequals(T_a), V_x), V_y)) | ~hBOOL(hAPP(hAPP(c_lessequals(T_a), V_x), hAPP(hAPP(c_Orderings_Oord__class_Omin(T_a), V_y), V_z))) )).
% 12.66/12.89 cnf(matrix-154, plain, ( ~class_Orderings_Olinorder(T_a) | hBOOL(hAPP(hAPP(c_lessequals(T_a), V_x), V_z)) | ~hBOOL(hAPP(hAPP(c_lessequals(T_a), V_x), hAPP(hAPP(c_Orderings_Oord__class_Omin(T_a), V_y), V_z))) )).
% 12.66/12.89 cnf(matrix-155, plain, ( ( hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(T_a, tc_bool)), hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(T_a, tc_bool)), V_A), V_B)), V_C) = hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(T_a, tc_bool)), V_A), hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(T_a, tc_bool)), V_B), V_C))) | ~hBOOL(hAPP(hAPP(c_lessequals(tc_fun(T_a, tc_bool)), V_C), V_A)) )).
% 12.66/12.89 cnf(matrix-156, plain, ( ( hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(T_a, tc_bool)), hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(T_a, tc_bool)), V_A), V_B)), V_C) != hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(T_a, tc_bool)), V_A), hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(T_a, tc_bool)), V_B), V_C))) | hBOOL(hAPP(hAPP(c_lessequals(tc_fun(T_a, tc_bool)), V_C), V_A)) )).
% 12.66/12.89 cnf(matrix-157, plain, ( ~class_Orderings_Olinorder(T_a) | c_OrderedGroup_Oab__semigroup__idem__mult(c_Orderings_Oord__class_Omin(T_a), T_a) )).
% 12.66/12.89 cnf(matrix-158, plain, ( ~class_Orderings_Oorder(T_a) | hBOOL(hAPP(hAPP(c_lessequals(T_a), V_c), V_a)) | ~hBOOL(hAPP(hAPP(c_lessequals(T_a), V_a), V_b)) | ~hBOOL(hAPP(hAPP(c_lessequals(tc_fun(T_a, tc_bool)), c_SetInterval_Oord__class_OatLeastAtMost(V_a, V_b, T_a)), c_SetInterval_Oord__class_OatLeastAtMost(V_c, V_d, T_a))) )).
% 12.66/12.89 cnf(matrix-159, plain, ( ~class_Orderings_Oorder(T_a) | hBOOL(hAPP(hAPP(c_lessequals(T_a), V_b), V_d)) | ~hBOOL(hAPP(hAPP(c_lessequals(T_a), V_a), V_b)) | ~hBOOL(hAPP(hAPP(c_lessequals(tc_fun(T_a, tc_bool)), c_SetInterval_Oord__class_OatLeastAtMost(V_a, V_b, T_a)), c_SetInterval_Oord__class_OatLeastAtMost(V_c, V_d, T_a))) )).
% 12.66/12.89 cnf(matrix-160, plain, ( ~class_Orderings_Oorder(T_a) | hBOOL(hAPP(hAPP(c_lessequals(tc_fun(T_a, tc_bool)), c_SetInterval_Oord__class_OatLeastAtMost(V_a, V_b, T_a)), c_SetInterval_Oord__class_OatLeastAtMost(V_c, V_d, T_a))) | ~hBOOL(hAPP(hAPP(c_lessequals(T_a), V_b), V_d)) | ~hBOOL(hAPP(hAPP(c_lessequals(T_a), V_c), V_a)) )).
% 12.66/12.89 cnf(matrix-161, plain, ( ~class_OrderedGroup_Ocomm__monoid__add(T_b) | ( hAPP(hAPP(c_HOL_Oplus__class_Oplus(T_b), c_Finite__Set_Ofold__image(c_HOL_Oplus__class_Oplus(T_b), V_g, c_HOL_Ozero__class_Ozero(T_b), V_A, T_b, T_a)), c_Finite__Set_Ofold__image(c_HOL_Oplus__class_Oplus(T_b), V_g, c_HOL_Ozero__class_Ozero(T_b), V_B, T_b, T_a)) = hAPP(hAPP(c_HOL_Oplus__class_Oplus(T_b), c_Finite__Set_Ofold__image(c_HOL_Oplus__class_Oplus(T_b), V_g, c_HOL_Ozero__class_Ozero(T_b), hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(T_a, tc_bool)), V_A), V_B), T_b, T_a)), c_Finite__Set_Ofold__image(c_HOL_Oplus__class_Oplus(T_b), V_g, c_HOL_Ozero__class_Ozero(T_b), hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(T_a, tc_bool)), V_A), V_B), T_b, T_a))) | ~c_Finite__Set_Ofinite(V_B, T_a) | ~c_Finite__Set_Ofinite(V_A, T_a) )).
% 12.66/12.89 cnf(matrix-162, plain, ( ~class_Orderings_Olinorder(T_a) | hBOOL(hAPP(hAPP(c_lessequals(T_a), V_z), V_y)) | hBOOL(hAPP(hAPP(c_lessequals(T_a), V_z), V_x)) | ~hBOOL(hAPP(hAPP(c_lessequals(T_a), V_z), hAPP(hAPP(c_Orderings_Oord__class_Omax(T_a), V_x), V_y))) )).
% 12.66/12.89 cnf(matrix-163, plain, ( ~class_Ring__and__Field_Oidom(T_a) | ~class_Int_Onumber__ring(T_a) | ( c_HOL_Ominus__class_Ominus(V_x, V_x, T_a) = c_HOL_Ozero__class_Ozero(T_a)) )).
% 12.66/12.89 cnf(matrix-164, plain, ( ~class_OrderedGroup_Ogroup__add(T_a) | ( c_HOL_Ominus__class_Ominus(V_a, V_a, T_a) = c_HOL_Ozero__class_Ozero(T_a)) )).
% 12.66/12.89 cnf(matrix-165, plain, ( ~class_OrderedGroup_Ogroup__add(T_a) | ( c_HOL_Ominus__class_Ominus(V_a, c_HOL_Ozero__class_Ozero(T_a), T_a) = V_a) )).
% 12.66/12.89 cnf(matrix-166, plain, ( ~class_OrderedGroup_Ogroup__add(T_a) | ( c_HOL_Ominus__class_Ominus(V_x, V_x, T_a) = c_HOL_Ozero__class_Ozero(T_a)) )).
% 12.66/12.89 cnf(matrix-167, plain, ( ~class_OrderedGroup_Oab__group__add(T_a) | ( c_HOL_Ominus__class_Ominus(V_x, V_x, T_a) = c_HOL_Ozero__class_Ozero(T_a)) )).
% 12.66/12.89 cnf(matrix-168, plain, ( ~class_Ring__and__Field_Oordered__semiring(T_a) | hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(T_a), V_a), V_b)) | ~hBOOL(hAPP(hAPP(c_lessequals(T_a), c_HOL_Ozero__class_Ozero(T_a)), V_c)) | ~hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(T_a), hAPP(hAPP(c_HOL_Otimes__class_Otimes(T_a), V_c), V_a)), hAPP(hAPP(c_HOL_Otimes__class_Otimes(T_a), V_c), V_b))) )).
% 12.66/12.89 cnf(matrix-169, plain, ( ~class_Ring__and__Field_Oordered__semiring(T_a) | hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(T_a), V_a), V_b)) | ~hBOOL(hAPP(hAPP(c_lessequals(T_a), c_HOL_Ozero__class_Ozero(T_a)), V_c)) | ~hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(T_a), hAPP(hAPP(c_HOL_Otimes__class_Otimes(T_a), V_a), V_c)), hAPP(hAPP(c_HOL_Otimes__class_Otimes(T_a), V_b), V_c))) )).
% 12.66/12.89 cnf(matrix-170, plain, ( ~class_Ring__and__Field_Oordered__semiring__strict(T_a) | hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(T_a), V_a), V_b)) | ~hBOOL(hAPP(hAPP(c_lessequals(T_a), c_HOL_Ozero__class_Ozero(T_a)), V_c)) | ~hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(T_a), hAPP(hAPP(c_HOL_Otimes__class_Otimes(T_a), V_c), V_a)), hAPP(hAPP(c_HOL_Otimes__class_Otimes(T_a), V_c), V_b))) )).
% 12.66/12.89 cnf(matrix-171, plain, ( ~class_Ring__and__Field_Oordered__semiring__strict(T_a) | hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(T_a), V_a), V_b)) | ~hBOOL(hAPP(hAPP(c_lessequals(T_a), c_HOL_Ozero__class_Ozero(T_a)), V_c)) | ~hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(T_a), hAPP(hAPP(c_HOL_Otimes__class_Otimes(T_a), V_a), V_c)), hAPP(hAPP(c_HOL_Otimes__class_Otimes(T_a), V_b), V_c))) )).
% 12.66/12.89 cnf(matrix-172, plain, ( ~class_Ring__and__Field_Oidom(T_a) | ~class_Int_Onumber__ring(T_a) | ( V_x != hAPP(hAPP(c_HOL_Oplus__class_Oplus(T_a), V_x), V_a)) | ( V_a = c_HOL_Ozero__class_Ozero(T_a)) )).
% 12.66/12.89 cnf(matrix-173, plain, ( ( c_The(hAPP(c_COMBC(c_fequal(T_a), T_a, T_a, tc_bool), V_a), T_a) = V_a) )).
% 12.66/12.89 cnf(matrix-174, plain, ( ~class_Ring__and__Field_Ocomm__semiring__1(T_a) | ( hAPP(hAPP(c_HOL_Oplus__class_Oplus(T_a), V_x), V_y) = hAPP(hAPP(c_HOL_Oplus__class_Oplus(T_a), V_y), V_x)) )).
% 12.66/12.89 cnf(matrix-175, plain, ( ~class_OrderedGroup_Ocomm__monoid__add(T_a) | ( hAPP(hAPP(c_HOL_Oplus__class_Oplus(T_a), V_a), V_b) = hAPP(hAPP(c_HOL_Oplus__class_Oplus(T_a), V_b), V_a)) )).
% 12.66/12.89 cnf(matrix-176, plain, ( ~class_Ring__and__Field_Ocomm__semiring__1(T_a) | ( hAPP(hAPP(c_HOL_Oplus__class_Oplus(T_a), V_a), V_c) = hAPP(hAPP(c_HOL_Oplus__class_Oplus(T_a), V_c), V_a)) )).
% 12.66/12.89 cnf(matrix-177, plain, ( ( c_Finite__Set_Ofold(V_f, V_z, V_A, T_b, T_a) = c_The(c_Finite__Set_Ofold__graph(V_f, V_z, V_A, T_b, T_a), T_a)) )).
% 12.66/12.89 cnf(matrix-178, plain, ( ~class_Ring__and__Field_Oordered__ring__strict(T_a) | hBOOL(hAPP(hAPP(c_lessequals(T_a), c_HOL_Ozero__class_Ozero(T_a)), hAPP(hAPP(c_HOL_Oplus__class_Oplus(T_a), hAPP(hAPP(c_HOL_Otimes__class_Otimes(T_a), V_x), V_x)), hAPP(hAPP(c_HOL_Otimes__class_Otimes(T_a), V_y), V_y)))) )).
% 12.66/12.89 cnf(matrix-179, plain, ( ~class_Ring__and__Field_Opordered__ring(T_a) | hBOOL(hAPP(hAPP(c_lessequals(T_a), hAPP(hAPP(c_HOL_Oplus__class_Oplus(T_a), hAPP(hAPP(c_HOL_Otimes__class_Otimes(T_a), c_HOL_Ominus__class_Ominus(V_a, V_b, T_a)), V_e)), V_c)), V_d)) | ~hBOOL(hAPP(hAPP(c_lessequals(T_a), hAPP(hAPP(c_HOL_Oplus__class_Oplus(T_a), hAPP(hAPP(c_HOL_Otimes__class_Otimes(T_a), V_a), V_e)), V_c)), hAPP(hAPP(c_HOL_Oplus__class_Oplus(T_a), hAPP(hAPP(c_HOL_Otimes__class_Otimes(T_a), V_b), V_e)), V_d))) )).
% 12.66/12.89 cnf(matrix-180, plain, ( ~class_Ring__and__Field_Opordered__ring(T_a) | hBOOL(hAPP(hAPP(c_lessequals(T_a), hAPP(hAPP(c_HOL_Oplus__class_Oplus(T_a), hAPP(hAPP(c_HOL_Otimes__class_Otimes(T_a), V_a), V_e)), V_c)), hAPP(hAPP(c_HOL_Oplus__class_Oplus(T_a), hAPP(hAPP(c_HOL_Otimes__class_Otimes(T_a), V_b), V_e)), V_d))) | ~hBOOL(hAPP(hAPP(c_lessequals(T_a), hAPP(hAPP(c_HOL_Oplus__class_Oplus(T_a), hAPP(hAPP(c_HOL_Otimes__class_Otimes(T_a), c_HOL_Ominus__class_Ominus(V_a, V_b, T_a)), V_e)), V_c)), V_d)) )).
% 12.66/12.89 cnf(matrix-181, plain, ( ~class_Ring__and__Field_Opordered__ring(T_a) | hBOOL(hAPP(hAPP(c_lessequals(T_a), V_c), hAPP(hAPP(c_HOL_Oplus__class_Oplus(T_a), hAPP(hAPP(c_HOL_Otimes__class_Otimes(T_a), c_HOL_Ominus__class_Ominus(V_b, V_a, T_a)), V_e)), V_d))) | ~hBOOL(hAPP(hAPP(c_lessequals(T_a), hAPP(hAPP(c_HOL_Oplus__class_Oplus(T_a), hAPP(hAPP(c_HOL_Otimes__class_Otimes(T_a), V_a), V_e)), V_c)), hAPP(hAPP(c_HOL_Oplus__class_Oplus(T_a), hAPP(hAPP(c_HOL_Otimes__class_Otimes(T_a), V_b), V_e)), V_d))) )).
% 12.66/12.89 cnf(matrix-182, plain, ( ~class_Ring__and__Field_Opordered__ring(T_a) | hBOOL(hAPP(hAPP(c_lessequals(T_a), hAPP(hAPP(c_HOL_Oplus__class_Oplus(T_a), hAPP(hAPP(c_HOL_Otimes__class_Otimes(T_a), V_a), V_e)), V_c)), hAPP(hAPP(c_HOL_Oplus__class_Oplus(T_a), hAPP(hAPP(c_HOL_Otimes__class_Otimes(T_a), V_b), V_e)), V_d))) | ~hBOOL(hAPP(hAPP(c_lessequals(T_a), V_c), hAPP(hAPP(c_HOL_Oplus__class_Oplus(T_a), hAPP(hAPP(c_HOL_Otimes__class_Otimes(T_a), c_HOL_Ominus__class_Ominus(V_b, V_a, T_a)), V_e)), V_d))) )).
% 12.66/12.89 cnf(matrix-183, plain, ( ( hAPP(V_m, V_x) != hAPP(c_Option_Ooption_OSome(T_a), V_y)) | ( V_x = V_a) | ( hAPP(c_Fun_Ofun__upd(V_m, V_a, hAPP(c_Option_Ooption_OSome(T_a), V_b), T_b, tc_Option_Ooption(T_a)), V_x) = hAPP(c_Option_Ooption_OSome(T_a), V_y)) )).
% 12.66/12.89 cnf(matrix-184, plain, ( ( hAPP(c_Fun_Ofun__upd(V_m, V_a, hAPP(c_Option_Ooption_OSome(T_a), V_b), T_b, tc_Option_Ooption(T_a)), V_x) != hAPP(c_Option_Ooption_OSome(T_a), V_y)) | ( hAPP(V_m, V_x) = hAPP(c_Option_Ooption_OSome(T_a), V_y)) | ( V_b = V_y) )).
% 12.66/12.89 cnf(matrix-185, plain, ( ( hAPP(c_Fun_Ofun__upd(V_m, V_a, hAPP(c_Option_Ooption_OSome(T_a), V_b), T_b, tc_Option_Ooption(T_a)), V_x) != hAPP(c_Option_Ooption_OSome(T_a), V_y)) | ( hAPP(V_m, V_x) = hAPP(c_Option_Ooption_OSome(T_a), V_y)) | ( V_x = V_a) )).
% 12.66/12.89 cnf(matrix-186, plain, ( ~class_OrderedGroup_Olordered__ab__group__add(T_a) | ( hAPP(hAPP(c_HOL_Oplus__class_Oplus(T_a), V_a), V_b) = hAPP(hAPP(c_HOL_Oplus__class_Oplus(T_a), hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(T_a), V_a), V_b)), hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(T_a), V_a), V_b))) )).
% 12.66/12.89 cnf(matrix-187, plain, ( ( c_Fun_Ofun__upd(V_t, V_k, hAPP(c_Option_Ooption_OSome(T_b), V_x), T_a, tc_Option_Ooption(T_b)) != c_COMBK(c_Option_Ooption_ONone(T_b), tc_Option_Ooption(T_b), T_a)) )).
% 12.66/12.89 cnf(matrix-188, plain, ( ~class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(T_a) | ~class_OrderedGroup_Ocomm__monoid__add(T_a) | hBOOL(hAPP(hAPP(c_lessequals(T_a), V_b), hAPP(hAPP(c_HOL_Oplus__class_Oplus(T_a), V_a), V_c))) | ~hBOOL(hAPP(hAPP(c_lessequals(T_a), V_b), V_a)) | ~hBOOL(hAPP(hAPP(c_lessequals(T_a), c_HOL_Ozero__class_Ozero(T_a)), V_c)) )).
% 12.66/12.89 cnf(matrix-189, plain, ( ~class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(T_a) | ~class_OrderedGroup_Ocomm__monoid__add(T_a) | hBOOL(hAPP(hAPP(c_lessequals(T_a), V_b), hAPP(hAPP(c_HOL_Oplus__class_Oplus(T_a), V_a), V_c))) | ~hBOOL(hAPP(hAPP(c_lessequals(T_a), V_b), V_c)) | ~hBOOL(hAPP(hAPP(c_lessequals(T_a), c_HOL_Ozero__class_Ozero(T_a)), V_a)) )).
% 12.66/12.89 cnf(matrix-190, plain, ( ~class_Orderings_Olinorder(T_a) | ( hAPP(hAPP(c_Orderings_Oord__class_Omin(T_a), V_x), hAPP(hAPP(c_Orderings_Oord__class_Omax(T_a), V_y), V_z)) = hAPP(hAPP(c_Orderings_Oord__class_Omax(T_a), hAPP(hAPP(c_Orderings_Oord__class_Omin(T_a), V_x), V_y)), hAPP(hAPP(c_Orderings_Oord__class_Omin(T_a), V_x), V_z))) )).
% 12.66/12.89 cnf(matrix-191, plain, ( ~class_Orderings_Olinorder(T_a) | ( hAPP(hAPP(c_Orderings_Oord__class_Omin(T_a), hAPP(hAPP(c_Orderings_Oord__class_Omax(T_a), V_y), V_z)), V_x) = hAPP(hAPP(c_Orderings_Oord__class_Omax(T_a), hAPP(hAPP(c_Orderings_Oord__class_Omin(T_a), V_y), V_x)), hAPP(hAPP(c_Orderings_Oord__class_Omin(T_a), V_z), V_x))) )).
% 12.66/12.89 cnf(matrix-192, plain, ( ~class_HOL_Oord(T_a) | hBOOL(hAPP(hAPP(c_in(T_a), V_i), c_SetInterval_Oord__class_OlessThan(V_k, T_a))) | ~hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(T_a), V_i), V_k)) )).
% 12.66/12.89 cnf(matrix-193, plain, ( ~class_HOL_Oord(T_a) | hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(T_a), V_i), V_k)) | ~hBOOL(hAPP(hAPP(c_in(T_a), V_i), c_SetInterval_Oord__class_OlessThan(V_k, T_a))) )).
% 12.66/12.89 cnf(matrix-194, plain, ( ( hAPP(hAPP(V_inf, V_x), V_y) = V_x) | ~hBOOL(hAPP(hAPP(V_less__eq, V_x), V_y)) | ~c_Lattices_Olower__semilattice(V_less__eq, V_less, V_inf, T_a) )).
% 12.66/12.89 cnf(matrix-195, plain, ( c_Map_Omap__le(c_Fun_Ofun__upd(V_f, V_a, V_b, T_a, tc_Option_Ooption(T_b)), c_Fun_Ofun__upd(V_g, V_a, V_b, T_a, tc_Option_Ooption(T_b)), T_a, T_b) | ~c_Map_Omap__le(V_f, V_g, T_a, T_b) )).
% 12.66/12.89 cnf(matrix-196, plain, ( ~class_OrderedGroup_Opordered__comm__monoid__add(T_a) | ( hAPP(hAPP(c_HOL_Oplus__class_Oplus(T_a), V_x), V_y) != c_HOL_Ozero__class_Ozero(T_a)) | ~hBOOL(hAPP(hAPP(c_lessequals(T_a), c_HOL_Ozero__class_Ozero(T_a)), V_y)) | ~hBOOL(hAPP(hAPP(c_lessequals(T_a), c_HOL_Ozero__class_Ozero(T_a)), V_x)) | ( V_y = c_HOL_Ozero__class_Ozero(T_a)) )).
% 12.66/12.89 cnf(matrix-197, plain, ( ~class_OrderedGroup_Opordered__comm__monoid__add(T_a) | ( hAPP(hAPP(c_HOL_Oplus__class_Oplus(T_a), V_x), V_y) != c_HOL_Ozero__class_Ozero(T_a)) | ~hBOOL(hAPP(hAPP(c_lessequals(T_a), c_HOL_Ozero__class_Ozero(T_a)), V_y)) | ~hBOOL(hAPP(hAPP(c_lessequals(T_a), c_HOL_Ozero__class_Ozero(T_a)), V_x)) | ( V_x = c_HOL_Ozero__class_Ozero(T_a)) )).
% 12.66/12.89 cnf(matrix-198, plain, ( ~class_OrderedGroup_Olordered__ab__group__add(T_a) | ( hAPP(hAPP(c_HOL_Oplus__class_Oplus(T_a), V_a), V_a) != c_HOL_Ozero__class_Ozero(T_a)) | ( V_a = c_HOL_Ozero__class_Ozero(T_a)) )).
% 12.66/12.89 cnf(matrix-199, plain, ( ( c_Suc(V_x) != c_Suc(V_y)) | ( V_x = V_y) )).
% 12.66/12.89 cnf(matrix-200, plain, ( ( c_Suc(V_nat) != c_Suc(V_nat_H)) | ( V_nat = V_nat_H) )).
% 12.66/12.89 cnf(matrix-201, plain, ( ~class_Ring__and__Field_Opordered__ring(T_a) | hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(T_a), hAPP(hAPP(c_HOL_Oplus__class_Oplus(T_a), hAPP(hAPP(c_HOL_Otimes__class_Otimes(T_a), V_a), V_e)), V_c)), hAPP(hAPP(c_HOL_Oplus__class_Oplus(T_a), hAPP(hAPP(c_HOL_Otimes__class_Otimes(T_a), V_b), V_e)), V_d))) | ~hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(T_a), V_c), hAPP(hAPP(c_HOL_Oplus__class_Oplus(T_a), hAPP(hAPP(c_HOL_Otimes__class_Otimes(T_a), c_HOL_Ominus__class_Ominus(V_b, V_a, T_a)), V_e)), V_d))) )).
% 12.66/12.89 cnf(matrix-202, plain, ( ~class_Ring__and__Field_Opordered__ring(T_a) | hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(T_a), V_c), hAPP(hAPP(c_HOL_Oplus__class_Oplus(T_a), hAPP(hAPP(c_HOL_Otimes__class_Otimes(T_a), c_HOL_Ominus__class_Ominus(V_b, V_a, T_a)), V_e)), V_d))) | ~hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(T_a), hAPP(hAPP(c_HOL_Oplus__class_Oplus(T_a), hAPP(hAPP(c_HOL_Otimes__class_Otimes(T_a), V_a), V_e)), V_c)), hAPP(hAPP(c_HOL_Oplus__class_Oplus(T_a), hAPP(hAPP(c_HOL_Otimes__class_Otimes(T_a), V_b), V_e)), V_d))) )).
% 12.66/12.89 cnf(matrix-203, plain, ( ~class_Ring__and__Field_Opordered__ring(T_a) | hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(T_a), hAPP(hAPP(c_HOL_Oplus__class_Oplus(T_a), hAPP(hAPP(c_HOL_Otimes__class_Otimes(T_a), V_a), V_e)), V_c)), hAPP(hAPP(c_HOL_Oplus__class_Oplus(T_a), hAPP(hAPP(c_HOL_Otimes__class_Otimes(T_a), V_b), V_e)), V_d))) | ~hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(T_a), hAPP(hAPP(c_HOL_Oplus__class_Oplus(T_a), hAPP(hAPP(c_HOL_Otimes__class_Otimes(T_a), c_HOL_Ominus__class_Ominus(V_a, V_b, T_a)), V_e)), V_c)), V_d)) )).
% 12.66/12.89 cnf(matrix-204, plain, ( ~class_Ring__and__Field_Opordered__ring(T_a) | hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(T_a), hAPP(hAPP(c_HOL_Oplus__class_Oplus(T_a), hAPP(hAPP(c_HOL_Otimes__class_Otimes(T_a), c_HOL_Ominus__class_Ominus(V_a, V_b, T_a)), V_e)), V_c)), V_d)) | ~hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(T_a), hAPP(hAPP(c_HOL_Oplus__class_Oplus(T_a), hAPP(hAPP(c_HOL_Otimes__class_Otimes(T_a), V_a), V_e)), V_c)), hAPP(hAPP(c_HOL_Oplus__class_Oplus(T_a), hAPP(hAPP(c_HOL_Otimes__class_Otimes(T_a), V_b), V_e)), V_d))) )).
% 12.66/12.89 cnf(matrix-205, plain, ( ~class_OrderedGroup_Ocomm__monoid__add(T_b) | ( hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(T_a, tc_bool)), V_A), V_B) != c_Orderings_Obot__class_Obot(tc_fun(T_a, tc_bool))) | ~c_Finite__Set_Ofinite(V_B, T_a) | ~c_Finite__Set_Ofinite(V_A, T_a) | ( c_Finite__Set_Osetsum(V_g, hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(T_a, tc_bool)), V_A), V_B), T_a, T_b) = hAPP(hAPP(c_HOL_Oplus__class_Oplus(T_b), c_Finite__Set_Osetsum(V_g, V_A, T_a, T_b)), c_Finite__Set_Osetsum(V_g, V_B, T_a, T_b))) )).
% 12.66/12.89 cnf(matrix-206, plain, ( ~class_Orderings_Oorder(T_a) | hBOOL(hAPP(hAPP(c_lessequals(tc_fun(T_a, tc_bool)), c_SetInterval_Oord__class_OatLeastAtMost(V_a, V_b, T_a)), c_SetInterval_Oord__class_OatLeastAtMost(V_c, V_d, T_a))) | hBOOL(hAPP(hAPP(c_lessequals(T_a), V_a), V_b)) )).
% 12.66/12.89 cnf(matrix-207, plain, ( ~class_Orderings_Olinorder(T_a) | hBOOL(hAPP(hAPP(c_lessequals(T_a), V_y), V_z)) | hBOOL(hAPP(hAPP(c_lessequals(T_a), V_x), V_z)) | ~hBOOL(hAPP(hAPP(c_lessequals(T_a), hAPP(hAPP(c_Orderings_Oord__class_Omin(T_a), V_x), V_y)), V_z)) )).
% 12.66/12.89 cnf(matrix-208, plain, ( ~class_Orderings_Olinorder(T_a) | c_OrderedGroup_Oab__semigroup__idem__mult(c_Orderings_Oord__class_Omax(T_a), T_a) )).
% 12.66/12.89 cnf(matrix-209, plain, ( ~class_Ring__and__Field_Oring__no__zero__divisors(T_a) | ( hAPP(hAPP(c_HOL_Otimes__class_Otimes(T_a), V_a), V_b) != c_HOL_Ozero__class_Ozero(T_a)) | ( V_b = c_HOL_Ozero__class_Ozero(T_a)) | ( V_a = c_HOL_Ozero__class_Ozero(T_a)) )).
% 12.66/12.89 cnf(matrix-210, plain, ( ~class_Ring__and__Field_Ono__zero__divisors(T_a) | ( hAPP(hAPP(c_HOL_Otimes__class_Otimes(T_a), V_a), V_b) != c_HOL_Ozero__class_Ozero(T_a)) | ( V_b = c_HOL_Ozero__class_Ozero(T_a)) | ( V_a = c_HOL_Ozero__class_Ozero(T_a)) )).
% 12.66/12.89 cnf(matrix-211, plain, ( ~class_Ring__and__Field_Ono__zero__divisors(T_a) | ( hAPP(hAPP(c_HOL_Otimes__class_Otimes(T_a), V_a), V_b) != c_HOL_Ozero__class_Ozero(T_a)) | ( V_a = c_HOL_Ozero__class_Ozero(T_a)) | ( V_b = c_HOL_Ozero__class_Ozero(T_a)) )).
% 12.66/12.89 cnf(matrix-212, plain, ( ( c_Fun_Ofun__upd(c_Fun_Ofun__upd(V_m, V_a, V_b, T_a, T_b), V_c, V_d, T_a, T_b) = c_Fun_Ofun__upd(c_Fun_Ofun__upd(V_m, V_c, V_d, T_a, T_b), V_a, V_b, T_a, T_b)) | ( V_a = V_c) )).
% 12.66/12.89 cnf(matrix-213, plain, ( ~class_OrderedGroup_Olordered__ab__group__add(T_a) | hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(T_a), hAPP(hAPP(c_HOL_Oplus__class_Oplus(T_a), V_a), V_a)), c_HOL_Ozero__class_Ozero(T_a))) | ~hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(T_a), V_a), c_HOL_Ozero__class_Ozero(T_a))) )).
% 12.66/12.89 cnf(matrix-214, plain, ( ~class_OrderedGroup_Olordered__ab__group__add(T_a) | hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(T_a), V_a), c_HOL_Ozero__class_Ozero(T_a))) | ~hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(T_a), hAPP(hAPP(c_HOL_Oplus__class_Oplus(T_a), V_a), V_a)), c_HOL_Ozero__class_Ozero(T_a))) )).
% 12.66/12.89 cnf(matrix-215, plain, ( ~class_Ring__and__Field_Oordered__idom(T_a) | hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(T_a), V_a), c_HOL_Ozero__class_Ozero(T_a))) | ~hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(T_a), hAPP(hAPP(c_HOL_Oplus__class_Oplus(T_a), V_a), V_a)), c_HOL_Ozero__class_Ozero(T_a))) )).
% 12.66/12.89 cnf(matrix-216, plain, ( ~class_Ring__and__Field_Oordered__idom(T_a) | hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(T_a), hAPP(hAPP(c_HOL_Oplus__class_Oplus(T_a), V_a), V_a)), c_HOL_Ozero__class_Ozero(T_a))) | ~hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(T_a), V_a), c_HOL_Ozero__class_Ozero(T_a))) )).
% 12.66/12.89 cnf(matrix-217, plain, ( ~class_Ring__and__Field_Oordered__semiring__strict(T_a) | hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(T_a), c_HOL_Ozero__class_Ozero(T_a)), V_b)) | ~hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(T_a), c_HOL_Ozero__class_Ozero(T_a)), V_a)) | ~hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(T_a), c_HOL_Ozero__class_Ozero(T_a)), hAPP(hAPP(c_HOL_Otimes__class_Otimes(T_a), V_b), V_a))) )).
% 12.66/12.89 cnf(matrix-218, plain, ( ~class_Ring__and__Field_Oordered__semiring__strict(T_a) | hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(T_a), c_HOL_Ozero__class_Ozero(T_a)), V_b)) | ~hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(T_a), c_HOL_Ozero__class_Ozero(T_a)), V_a)) | ~hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(T_a), c_HOL_Ozero__class_Ozero(T_a)), hAPP(hAPP(c_HOL_Otimes__class_Otimes(T_a), V_a), V_b))) )).
% 12.66/12.89 cnf(matrix-219, plain, ( ~class_Ring__and__Field_Oordered__semiring__strict(T_a) | hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(T_a), c_HOL_Ozero__class_Ozero(T_a)), hAPP(hAPP(c_HOL_Otimes__class_Otimes(T_a), V_a), V_b))) | ~hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(T_a), c_HOL_Ozero__class_Ozero(T_a)), V_b)) | ~hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(T_a), c_HOL_Ozero__class_Ozero(T_a)), V_a)) )).
% 12.66/12.89 cnf(matrix-220, plain, ( ~class_Ring__and__Field_Oordered__ring__strict(T_a) | hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(T_a), c_HOL_Ozero__class_Ozero(T_a)), hAPP(hAPP(c_HOL_Otimes__class_Otimes(T_a), V_a), V_b))) | ~hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(T_a), V_b), c_HOL_Ozero__class_Ozero(T_a))) | ~hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(T_a), V_a), c_HOL_Ozero__class_Ozero(T_a))) )).
% 12.66/12.89 cnf(matrix-221, plain, ( hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(tc_fun(T_a, tc_bool)), V_A), V_B)) | ~hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(tc_nat), c_Finite__Set_Ocard(V_A, T_a)), c_Finite__Set_Ocard(V_B, T_a))) | ~hBOOL(hAPP(hAPP(c_lessequals(tc_fun(T_a, tc_bool)), V_A), V_B)) | ~c_Finite__Set_Ofinite(V_B, T_a) )).
% 12.66/12.89 cnf(matrix-222, plain, ( ~class_Orderings_Olinorder(T_a) | hBOOL(hAPP(hAPP(c_lessequals(T_a), V_y), V_z)) | ~hBOOL(hAPP(hAPP(c_lessequals(T_a), hAPP(hAPP(c_Orderings_Oord__class_Omax(T_a), V_x), V_y)), V_z)) )).
% 12.66/12.89 cnf(matrix-223, plain, ( ~class_Orderings_Olinorder(T_a) | hBOOL(hAPP(hAPP(c_lessequals(T_a), V_x), V_z)) | ~hBOOL(hAPP(hAPP(c_lessequals(T_a), hAPP(hAPP(c_Orderings_Oord__class_Omax(T_a), V_x), V_y)), V_z)) )).
% 12.66/12.89 cnf(matrix-224, plain, ( ~class_Orderings_Olinorder(T_a) | hBOOL(hAPP(hAPP(c_lessequals(T_a), V_z), hAPP(hAPP(c_Orderings_Oord__class_Omax(T_a), V_x), V_y))) | ~hBOOL(hAPP(hAPP(c_lessequals(T_a), V_z), V_y)) )).
% 12.66/12.89 cnf(matrix-225, plain, ( ~class_Orderings_Olinorder(T_a) | hBOOL(hAPP(hAPP(c_lessequals(T_a), V_z), hAPP(hAPP(c_Orderings_Oord__class_Omax(T_a), V_x), V_y))) | ~hBOOL(hAPP(hAPP(c_lessequals(T_a), V_z), V_x)) )).
% 12.66/12.89 cnf(matrix-226, plain, ( ~class_Orderings_Olinorder(T_a) | hBOOL(hAPP(hAPP(c_lessequals(T_a), V_x), hAPP(hAPP(c_Orderings_Oord__class_Omax(T_a), V_a), V_b))) | ~hBOOL(hAPP(hAPP(c_lessequals(T_a), V_x), V_b)) )).
% 12.66/12.89 cnf(matrix-227, plain, ( ~class_Orderings_Olinorder(T_a) | hBOOL(hAPP(hAPP(c_lessequals(T_a), V_x), hAPP(hAPP(c_Orderings_Oord__class_Omax(T_a), V_a), V_b))) | ~hBOOL(hAPP(hAPP(c_lessequals(T_a), V_x), V_a)) )).
% 12.66/12.89 cnf(matrix-228, plain, ( ~class_Orderings_Olinorder(T_a) | hBOOL(hAPP(hAPP(c_lessequals(T_a), V_b), V_x)) | ~hBOOL(hAPP(hAPP(c_lessequals(T_a), hAPP(hAPP(c_Orderings_Oord__class_Omax(T_a), V_a), V_b)), V_x)) )).
% 12.66/12.89 cnf(matrix-229, plain, ( ~class_Orderings_Olinorder(T_a) | hBOOL(hAPP(hAPP(c_lessequals(T_a), V_a), V_x)) | ~hBOOL(hAPP(hAPP(c_lessequals(T_a), hAPP(hAPP(c_Orderings_Oord__class_Omax(T_a), V_a), V_b)), V_x)) )).
% 12.66/12.89 cnf(matrix-230, plain, ( ~class_Orderings_Olinorder(T_a) | hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(T_a), V_z), V_y)) | hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(T_a), V_z), V_x)) | ~hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(T_a), V_z), hAPP(hAPP(c_Orderings_Oord__class_Omax(T_a), V_x), V_y))) )).
% 12.66/12.89 cnf(matrix-231, plain, ( ~hBOOL(hAPP(V_P, c_Option_Ooption_Ooption__case(V_f1, V_f2, hAPP(c_Option_Ooption_OSome(t_b), V_a), t_a, t_b))) | hBOOL(hAPP(V_P, hAPP(V_f2, V_a))) )).
% 12.66/12.89 cnf(matrix-232, plain, ( ~hBOOL(hAPP(V_P, c_Option_Ooption_Ooption__case(V_f1, V_f2, hAPP(c_Option_Ooption_OSome(t_b), V_xa), t_a, t_b))) | hBOOL(hAPP(V_P, hAPP(V_f2, V_xa))) )).
% 12.66/12.89 cnf(matrix-233, plain, ( ( c_Map_Orestrict__map(c_Fun_Ofun__upd(V_m, V_x, V_y, T_a, tc_Option_Ooption(T_b)), V_D, T_a, T_b) = c_Map_Orestrict__map(V_m, V_D, T_a, T_b)) | hBOOL(hAPP(hAPP(c_in(T_a), V_x), V_D)) )).
% 12.66/12.89 cnf(matrix-234, plain, ( ~class_Lattices_Olattice(T_a) | ( hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(T_a), hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(T_a), V_x), V_y)), V_z) = hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(T_a), V_x), hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(T_a), V_y), V_z))) )).
% 12.66/12.89 cnf(matrix-235, plain, ( ~class_Lattices_Olattice(T_a) | ( hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(T_a), V_x), hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(T_a), V_y), V_z)) = hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(T_a), V_y), hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(T_a), V_x), V_z))) )).
% 12.66/12.89 cnf(matrix-236, plain, ( ~class_Lattices_Olower__semilattice(T_a) | ( hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(T_a), V_x), hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(T_a), V_y), V_z)) = hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(T_a), V_y), hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(T_a), V_x), V_z))) )).
% 12.66/12.89 cnf(matrix-237, plain, ( ~class_Lattices_Olower__semilattice(T_a) | ( hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(T_a), hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(T_a), V_x), V_y)), V_z) = hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(T_a), V_x), hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(T_a), V_y), V_z))) )).
% 12.66/12.89 cnf(matrix-238, plain, ( ( hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(T_a, tc_bool)), hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(T_a, tc_bool)), V_A), V_B)), V_C) = hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(T_a, tc_bool)), V_A), hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(T_a, tc_bool)), V_B), V_C))) )).
% 12.66/12.89 cnf(matrix-239, plain, ( ( hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(T_a, tc_bool)), V_A), hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(T_a, tc_bool)), V_B), V_C)) = hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(T_a, tc_bool)), V_B), hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(T_a, tc_bool)), V_A), V_C))) )).
% 12.66/12.89 cnf(matrix-240, plain, ( ~class_Ring__and__Field_Oordered__ring__strict(T_a) | ~hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(T_a), hAPP(hAPP(c_HOL_Oplus__class_Oplus(T_a), hAPP(hAPP(c_HOL_Otimes__class_Otimes(T_a), V_x), V_x)), hAPP(hAPP(c_HOL_Otimes__class_Otimes(T_a), V_y), V_y))), c_HOL_Ozero__class_Ozero(T_a))) )).
% 12.66/12.89 cnf(matrix-241, plain, ( ~class_Orderings_Olinorder(T_a) | ~class_Lattices_Oupper__semilattice(T_a) | ( c_Lattices_Oupper__semilattice__class_Osup(T_a) = c_Orderings_Oord__class_Omax(T_a)) )).
% 12.66/12.89 cnf(matrix-242, plain, ( ~class_Orderings_Olinorder(T_a) | hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(T_a), V_y), V_z)) | hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(T_a), V_x), V_z)) | ~hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(T_a), hAPP(hAPP(c_Orderings_Oord__class_Omin(T_a), V_x), V_y)), V_z)) )).
% 12.66/12.89 cnf(matrix-243, plain, ( ~class_Ring__and__Field_Oidom(T_a) | ~class_Int_Onumber__ring(T_a) | ( hAPP(hAPP(c_HOL_Oplus__class_Oplus(T_a), hAPP(hAPP(c_HOL_Otimes__class_Otimes(T_a), V_w), V_y)), hAPP(hAPP(c_HOL_Otimes__class_Otimes(T_a), V_x), V_z)) != hAPP(hAPP(c_HOL_Oplus__class_Oplus(T_a), hAPP(hAPP(c_HOL_Otimes__class_Otimes(T_a), V_w), V_z)), hAPP(hAPP(c_HOL_Otimes__class_Otimes(T_a), V_x), V_y))) | ( V_y = V_z) | ( V_w = V_x) )).
% 12.66/12.89 cnf(matrix-244, plain, ( ~class_Ring__and__Field_Oidom(T_a) | ~class_Int_Onumber__ring(T_a) | ( hAPP(hAPP(c_HOL_Oplus__class_Oplus(T_a), hAPP(hAPP(c_HOL_Otimes__class_Otimes(T_a), V_a), V_c)), hAPP(hAPP(c_HOL_Otimes__class_Otimes(T_a), V_b), V_d)) != hAPP(hAPP(c_HOL_Oplus__class_Oplus(T_a), hAPP(hAPP(c_HOL_Otimes__class_Otimes(T_a), V_a), V_d)), hAPP(hAPP(c_HOL_Otimes__class_Otimes(T_a), V_b), V_c))) | ( V_c = V_d) | ( V_a = V_b) )).
% 12.66/12.89 cnf(matrix-245, plain, ( ( c_Map_Orestrict__map(c_Map_Orestrict__map(V_m, V_A, T_a, T_b), V_B, T_a, T_b) = c_Map_Orestrict__map(V_m, hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(T_a, tc_bool)), V_A), V_B), T_a, T_b)) )).
% 12.66/12.89 cnf(matrix-246, plain, ( ~class_OrderedGroup_Opordered__comm__monoid__add(T_a) | hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(T_a), hAPP(hAPP(c_HOL_Oplus__class_Oplus(T_a), V_a), V_b)), c_HOL_Ozero__class_Ozero(T_a))) | ~hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(T_a), V_b), c_HOL_Ozero__class_Ozero(T_a))) | ~hBOOL(hAPP(hAPP(c_lessequals(T_a), V_a), c_HOL_Ozero__class_Ozero(T_a))) )).
% 12.66/12.89 cnf(matrix-247, plain, ( ~class_OrderedGroup_Opordered__comm__monoid__add(T_a) | hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(T_a), hAPP(hAPP(c_HOL_Oplus__class_Oplus(T_a), V_a), V_b)), c_HOL_Ozero__class_Ozero(T_a))) | ~hBOOL(hAPP(hAPP(c_lessequals(T_a), V_b), c_HOL_Ozero__class_Ozero(T_a))) | ~hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(T_a), V_a), c_HOL_Ozero__class_Ozero(T_a))) )).
% 12.66/12.89 cnf(matrix-248, plain, ( ~class_OrderedGroup_Ocomm__monoid__add(T_a) | ( c_Finite__Set_Osetsum(V_f, V_A, T_b, T_a) = c_HOL_Ozero__class_Ozero(T_a)) | c_Finite__Set_Ofinite(V_A, T_b) )).
% 12.66/12.89 cnf(matrix-249, plain, ( ~class_OrderedGroup_Ocomm__monoid__add(T_b) | ( c_Finite__Set_Osetsum(V_f, V_A, T_a, T_b) = c_HOL_Ozero__class_Ozero(T_b)) | c_Finite__Set_Ofinite(V_A, T_a) )).
% 12.66/12.89 cnf(matrix-250, plain, ( ( V_m = V_n) | hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(tc_nat), V_m), V_n)) | ~hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(tc_nat), V_m), c_Suc(V_n))) )).
% 12.66/12.89 cnf(matrix-251, plain, ( ( V_m = V_n) | ~hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(tc_nat), V_n), c_Suc(V_m))) | hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(tc_nat), V_n), V_m)) )).
% 12.66/12.89 cnf(matrix-252, plain, ( ( V_n = V_m) | ~hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(tc_nat), V_n), c_Suc(V_m))) | hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(tc_nat), V_n), V_m)) )).
% 12.66/12.89 cnf(matrix-253, plain, ( ~class_Ring__and__Field_Oordered__ring__strict(T_a) | hBOOL(hAPP(hAPP(c_lessequals(T_a), hAPP(hAPP(c_HOL_Oplus__class_Oplus(T_a), hAPP(hAPP(c_HOL_Otimes__class_Otimes(T_a), c_HOL_Ozero__class_Ozero(T_a)), c_HOL_Ozero__class_Ozero(T_a))), hAPP(hAPP(c_HOL_Otimes__class_Otimes(T_a), c_HOL_Ozero__class_Ozero(T_a)), c_HOL_Ozero__class_Ozero(T_a)))), c_HOL_Ozero__class_Ozero(T_a))) )).
% 12.66/12.89 cnf(matrix-254, plain, ( ~class_Ring__and__Field_Ocomm__semiring__1(T_a) | ( hAPP(hAPP(c_HOL_Otimes__class_Otimes(T_a), hAPP(hAPP(c_HOL_Otimes__class_Otimes(T_a), V_lx), V_ly)), hAPP(hAPP(c_HOL_Otimes__class_Otimes(T_a), V_rx), V_ry)) = hAPP(hAPP(c_HOL_Otimes__class_Otimes(T_a), hAPP(hAPP(c_HOL_Otimes__class_Otimes(T_a), V_lx), V_rx)), hAPP(hAPP(c_HOL_Otimes__class_Otimes(T_a), V_ly), V_ry))) )).
% 12.66/12.89 cnf(matrix-255, plain, ( ~class_Ring__and__Field_Ocomm__semiring__1(T_a) | ( hAPP(hAPP(c_HOL_Otimes__class_Otimes(T_a), hAPP(hAPP(c_HOL_Otimes__class_Otimes(T_a), V_lx), V_ly)), hAPP(hAPP(c_HOL_Otimes__class_Otimes(T_a), V_rx), V_ry)) = hAPP(hAPP(c_HOL_Otimes__class_Otimes(T_a), V_lx), hAPP(hAPP(c_HOL_Otimes__class_Otimes(T_a), V_ly), hAPP(hAPP(c_HOL_Otimes__class_Otimes(T_a), V_rx), V_ry)))) )).
% 12.66/12.89 cnf(matrix-256, plain, ( ~class_Ring__and__Field_Ocomm__semiring__1(T_a) | ( hAPP(hAPP(c_HOL_Otimes__class_Otimes(T_a), hAPP(hAPP(c_HOL_Otimes__class_Otimes(T_a), V_lx), V_ly)), hAPP(hAPP(c_HOL_Otimes__class_Otimes(T_a), V_rx), V_ry)) = hAPP(hAPP(c_HOL_Otimes__class_Otimes(T_a), V_rx), hAPP(hAPP(c_HOL_Otimes__class_Otimes(T_a), hAPP(hAPP(c_HOL_Otimes__class_Otimes(T_a), V_lx), V_ly)), V_ry))) )).
% 12.66/12.89 cnf(matrix-257, plain, ( ( hAPP(c_Map_Orestrict__map(c_COMBK(c_Option_Ooption_ONone(T_b), tc_Option_Ooption(T_b), t_a), V_D, t_a, T_b), v_x) = c_Option_Ooption_ONone(T_b)) )).
% 12.66/12.89 cnf(matrix-258, plain, ( ( c_Map_Orestrict__map(V_f, hAPP(hAPP(c_Set_Oinsert(T_a), V_a), V_A), T_a, T_b) = c_Fun_Ofun__upd(c_Map_Orestrict__map(V_f, V_A, T_a, T_b), V_a, hAPP(V_f, V_a), T_a, tc_Option_Ooption(T_b))) )).
% 12.66/12.89 cnf(matrix-259, plain, ( c_Orderings_Olinorder(c_COMBC(V_less__eq, T_a, T_a, tc_bool), c_COMBC(V_less, T_a, T_a, tc_bool), T_a) | ~c_Orderings_Olinorder(V_less__eq, V_less, T_a) )).
% 12.66/12.89 cnf(matrix-260, plain, ( ~class_Ring__and__Field_Ocomm__semiring__1(T_a) | ( hAPP(hAPP(c_HOL_Otimes__class_Otimes(T_a), c_HOL_Ozero__class_Ozero(T_a)), V_a) = c_HOL_Ozero__class_Ozero(T_a)) )).
% 12.66/12.89 cnf(matrix-261, plain, ( ~class_Ring__and__Field_Ocomm__semiring__1(T_a) | ( hAPP(hAPP(c_HOL_Otimes__class_Otimes(T_a), V_a), c_HOL_Ozero__class_Ozero(T_a)) = c_HOL_Ozero__class_Ozero(T_a)) )).
% 12.66/12.89 cnf(matrix-262, plain, ( ~class_Ring__and__Field_Oring__no__zero__divisors(T_a) | ( hAPP(hAPP(c_HOL_Otimes__class_Otimes(T_a), V_a), c_HOL_Ozero__class_Ozero(T_a)) = c_HOL_Ozero__class_Ozero(T_a)) )).
% 12.66/12.89 cnf(matrix-263, plain, ( ~class_Ring__and__Field_Oring__no__zero__divisors(T_a) | ( hAPP(hAPP(c_HOL_Otimes__class_Otimes(T_a), c_HOL_Ozero__class_Ozero(T_a)), V_b) = c_HOL_Ozero__class_Ozero(T_a)) )).
% 12.66/12.89 cnf(matrix-264, plain, ( ~class_Ring__and__Field_Omult__zero(T_a) | ( hAPP(hAPP(c_HOL_Otimes__class_Otimes(T_a), V_a), c_HOL_Ozero__class_Ozero(T_a)) = c_HOL_Ozero__class_Ozero(T_a)) )).
% 12.66/12.89 cnf(matrix-265, plain, ( ~class_Ring__and__Field_Omult__zero(T_a) | ( hAPP(hAPP(c_HOL_Otimes__class_Otimes(T_a), c_HOL_Ozero__class_Ozero(T_a)), V_a) = c_HOL_Ozero__class_Ozero(T_a)) )).
% 12.66/12.89 cnf(matrix-266, plain, ( ~class_Ring__and__Field_Ocomm__semiring__1(T_a) | ( hAPP(hAPP(c_HOL_Otimes__class_Otimes(T_a), c_HOL_Ozero__class_Ozero(T_a)), V_x) = c_HOL_Ozero__class_Ozero(T_a)) )).
% 12.66/12.89 cnf(matrix-267, plain, ( ( hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(T_a, tc_bool)), V_C), c_HOL_Ominus__class_Ominus(V_A, V_B, tc_fun(T_a, tc_bool))) = c_HOL_Ominus__class_Ominus(hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(T_a, tc_bool)), V_C), V_A), hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(T_a, tc_bool)), V_C), V_B), tc_fun(T_a, tc_bool))) )).
% 12.66/12.89 cnf(matrix-268, plain, ( ( hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(T_a, tc_bool)), c_HOL_Ominus__class_Ominus(V_A, V_B, tc_fun(T_a, tc_bool))), V_C) = c_HOL_Ominus__class_Ominus(hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(T_a, tc_bool)), V_A), V_C), hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(T_a, tc_bool)), V_B), V_C), tc_fun(T_a, tc_bool))) )).
% 12.66/12.89 cnf(matrix-269, plain, ( ~class_Lattices_Olower__semilattice(T_a) | ( c_Finite__Set_Ofold(c_Lattices_Olower__semilattice__class_Oinf(T_a), V_b, hAPP(hAPP(c_Set_Oinsert(T_a), V_a), V_A), T_a, T_a) = hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(T_a), V_a), c_Finite__Set_Ofold(c_Lattices_Olower__semilattice__class_Oinf(T_a), V_b, V_A, T_a, T_a))) | ~c_Finite__Set_Ofinite(V_A, T_a) )).
% 12.66/12.89 cnf(matrix-270, plain, ( ~class_OrderedGroup_Ocomm__monoid__add(T_a) | ( c_Finite__Set_Osetsum(V_f, c_Orderings_Obot__class_Obot(tc_fun(T_b, tc_bool)), T_b, T_a) = c_HOL_Ozero__class_Ozero(T_a)) )).
% 12.66/12.89 cnf(matrix-271, plain, ( ( c_Fun_Ofun__upd(c_Fun_Ofun__upd(V_f, V_x, V_y, T_a, T_b), V_x, V_z, T_a, T_b) = c_Fun_Ofun__upd(V_f, V_x, V_z, T_a, T_b)) )).
% 12.66/12.89 cnf(matrix-272, plain, ( hBOOL(hAPP(hAPP(c_lessequals(tc_fun(T_a, tc_bool)), c_HOL_Ominus__class_Ominus(V_A, V_B, tc_fun(T_a, tc_bool))), c_HOL_Ominus__class_Ominus(V_C, V_D, tc_fun(T_a, tc_bool)))) | ~hBOOL(hAPP(hAPP(c_lessequals(tc_fun(T_a, tc_bool)), V_D), V_B)) | ~hBOOL(hAPP(hAPP(c_lessequals(tc_fun(T_a, tc_bool)), V_A), V_C)) )).
% 12.66/12.89 cnf(matrix-273, plain, ( ~class_Lattices_Olattice(T_a) | hBOOL(hAPP(hAPP(c_lessequals(T_a), hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(T_a), V_x), hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(T_a), V_y), V_z))), hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(T_a), hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(T_a), V_x), V_y)), hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(T_a), V_x), V_z)))) )).
% 12.66/12.89 cnf(matrix-274, plain, ( ( c_HOL_Ominus__class_Ominus(hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(T_a, tc_bool)), V_A), V_C), hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(T_a, tc_bool)), V_B), V_C), tc_fun(T_a, tc_bool)) = c_HOL_Ominus__class_Ominus(hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(T_a, tc_bool)), V_A), V_C), V_B, tc_fun(T_a, tc_bool))) )).
% 12.66/12.89 cnf(matrix-275, plain, ( ~class_Orderings_Opreorder(T_a) | hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(T_a), V_x), V_y)) | hBOOL(hAPP(hAPP(c_lessequals(T_a), V_y), V_x)) | ~hBOOL(hAPP(hAPP(c_lessequals(T_a), V_x), V_y)) )).
% 12.66/12.89 cnf(matrix-276, plain, ( ~hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(tc_fun(T_a, tc_bool)), V_x), V_x)) )).
% 12.66/12.89 cnf(matrix-277, plain, ( ~hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(tc_nat), V_x), V_x)) )).
% 12.66/12.89 cnf(matrix-278, plain, ( ~hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(tc_nat), V_n), V_n)) )).
% 12.66/12.89 cnf(matrix-279, plain, ( ~class_HOL_Oord(T_b) | hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(tc_fun(T_a, T_b)), V_f), V_g)) | hBOOL(hAPP(hAPP(c_lessequals(tc_fun(T_a, T_b)), V_g), V_f)) | ~hBOOL(hAPP(hAPP(c_lessequals(tc_fun(T_a, T_b)), V_f), V_g)) )).
% 12.66/12.89 cnf(matrix-280, plain, ( ~class_Orderings_Oorder(T_a) | ~hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(T_a), V_x), V_x)) )).
% 12.66/12.89 cnf(matrix-281, plain, ( ~class_Orderings_Olinorder(T_a) | ~hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(T_a), V_x), V_x)) )).
% 12.66/12.89 cnf(matrix-282, plain, ( ~class_Orderings_Opreorder(T_a) | ~hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(T_a), V_x), V_x)) )).
% 12.66/12.89 cnf(matrix-283, plain, ( ~class_Lattices_Olattice(T_a) | ( hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(T_a), V_x), hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(T_a), V_x), V_y)) = V_x) )).
% 12.66/12.89 cnf(matrix-284, plain, ( ~class_Orderings_Olinorder(T_a) | ( hAPP(hAPP(c_Orderings_Oord__class_Omin(T_a), V_x), V_x) = V_x) )).
% 12.66/12.89 cnf(matrix-285, plain, ( ~class_OrderedGroup_Opordered__comm__monoid__add(T_a) | hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(T_a), c_HOL_Ozero__class_Ozero(T_a)), hAPP(hAPP(c_HOL_Oplus__class_Oplus(T_a), V_a), V_b))) | ~hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(T_a), c_HOL_Ozero__class_Ozero(T_a)), V_b)) | ~hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(T_a), c_HOL_Ozero__class_Ozero(T_a)), V_a)) )).
% 12.66/12.89 cnf(matrix-286, plain, ( ~class_Orderings_Oorder(T_a) | hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(tc_fun(T_a, tc_bool)), c_SetInterval_Oord__class_OatLeastAtMost(V_a, V_b, T_a)), c_SetInterval_Oord__class_OatLeastAtMost(V_c, V_d, T_a))) | ~hBOOL(hAPP(hAPP(c_lessequals(T_a), V_c), V_d)) | ~hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(T_a), V_b), V_d)) | ~hBOOL(hAPP(hAPP(c_lessequals(T_a), V_b), V_d)) | ~hBOOL(hAPP(hAPP(c_lessequals(T_a), V_c), V_a)) )).
% 12.66/12.89 cnf(matrix-287, plain, ( ~class_Orderings_Oorder(T_a) | hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(tc_fun(T_a, tc_bool)), c_SetInterval_Oord__class_OatLeastAtMost(V_a, V_b, T_a)), c_SetInterval_Oord__class_OatLeastAtMost(V_c, V_d, T_a))) | ~hBOOL(hAPP(hAPP(c_lessequals(T_a), V_c), V_d)) | ~hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(T_a), V_c), V_a)) | ~hBOOL(hAPP(hAPP(c_lessequals(T_a), V_b), V_d)) | ~hBOOL(hAPP(hAPP(c_lessequals(T_a), V_c), V_a)) )).
% 12.66/12.89 cnf(matrix-288, plain, ( hBOOL(hAPP(hAPP(c_lessequals(tc_fun(T_a, tc_bool)), V_R), V_S)) | ~hBOOL(hAPP(hAPP(c_lessequals(tc_fun(T_a, tc_bool)), hAPP(c_COMBC(c_in(T_a), T_a, tc_fun(T_a, tc_bool), tc_bool), V_R)), hAPP(c_COMBC(c_in(T_a), T_a, tc_fun(T_a, tc_bool), tc_bool), V_S))) )).
% 12.66/12.89 cnf(matrix-289, plain, ( hBOOL(hAPP(hAPP(c_lessequals(tc_fun(T_a, tc_bool)), hAPP(c_COMBC(c_in(T_a), T_a, tc_fun(T_a, tc_bool), tc_bool), V_R)), hAPP(c_COMBC(c_in(T_a), T_a, tc_fun(T_a, tc_bool), tc_bool), V_S))) | ~hBOOL(hAPP(hAPP(c_lessequals(tc_fun(T_a, tc_bool)), V_R), V_S)) )).
% 12.66/12.89 cnf(matrix-290, plain, ( ( hAPP(hAPP(V_times, V_x), hAPP(hAPP(V_times, V_x), V_y)) = hAPP(hAPP(V_times, V_x), V_y)) | ~c_OrderedGroup_Oab__semigroup__idem__mult(V_times, T_a) )).
% 12.66/12.89 cnf(matrix-291, plain, ( ( hAPP(hAPP(V_times, V_x), V_x) = V_x) | ~c_OrderedGroup_Oab__semigroup__idem__mult(V_times, T_a) )).
% 12.66/12.89 cnf(matrix-292, plain, ( ~class_Ring__and__Field_Oordered__idom(T_a) | hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(T_a), V_y), V_x)) | hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(T_a), V_x), V_y)) | ( V_x = V_y) )).
% 12.66/12.89 cnf(matrix-293, plain, ( ~class_Orderings_Olinorder(T_a) | ( V_x = V_y) | hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(T_a), V_y), V_x)) | hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(T_a), V_x), V_y)) )).
% 12.66/12.89 cnf(matrix-294, plain, ( ~class_OrderedGroup_Ocomm__monoid__add(T_a) | ( c_Finite__Set_Osetsum(c_COMBK(c_HOL_Ozero__class_Ozero(T_a), T_a, T_b), V_A, T_b, T_a) = c_HOL_Ozero__class_Ozero(T_a)) )).
% 12.66/12.89 cnf(matrix-295, plain, ( hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(tc_nat), c_Finite__Set_Ocard(V_A, T_a)), c_Finite__Set_Ocard(V_B, T_a))) | ~hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(tc_fun(T_a, tc_bool)), V_A), V_B)) | ~c_Finite__Set_Ofinite(V_B, T_a) )).
% 12.66/12.89 cnf(matrix-296, plain, ( ( c_Map_Odom(c_Map_Orestrict__map(V_m, V_A, T_a, T_b), T_a, T_b) = hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(T_a, tc_bool)), c_Map_Odom(V_m, T_a, T_b)), V_A)) )).
% 12.66/12.89 cnf(matrix-297, plain, ( ~class_Orderings_Olinorder(T_a) | hBOOL(hAPP(hAPP(c_lessequals(T_a), V_y), hAPP(hAPP(c_Orderings_Oord__class_Omax(T_a), V_x), V_y))) )).
% 12.66/12.89 cnf(matrix-298, plain, ( ~class_Orderings_Olinorder(T_a) | hBOOL(hAPP(hAPP(c_lessequals(T_a), V_x), hAPP(hAPP(c_Orderings_Oord__class_Omax(T_a), V_x), V_y))) )).
% 12.66/12.89 cnf(matrix-299, plain, ( ~class_Orderings_Olinorder(T_a) | hBOOL(hAPP(hAPP(c_lessequals(T_a), hAPP(hAPP(c_Orderings_Oord__class_Omax(T_a), V_a), V_b)), V_x)) | ~hBOOL(hAPP(hAPP(c_lessequals(T_a), V_b), V_x)) | ~hBOOL(hAPP(hAPP(c_lessequals(T_a), V_a), V_x)) )).
% 12.66/12.89 cnf(matrix-300, plain, ( ~class_Orderings_Olinorder(T_a) | hBOOL(hAPP(hAPP(c_lessequals(T_a), hAPP(hAPP(c_Orderings_Oord__class_Omax(T_a), V_y), V_z)), V_x)) | ~hBOOL(hAPP(hAPP(c_lessequals(T_a), V_z), V_x)) | ~hBOOL(hAPP(hAPP(c_lessequals(T_a), V_y), V_x)) )).
% 12.66/12.89 cnf(matrix-301, plain, ( ~class_Orderings_Olinorder(T_a) | hBOOL(hAPP(hAPP(c_lessequals(T_a), hAPP(hAPP(c_Orderings_Oord__class_Omax(T_a), V_x), V_y)), V_z)) | ~hBOOL(hAPP(hAPP(c_lessequals(T_a), V_y), V_z)) | ~hBOOL(hAPP(hAPP(c_lessequals(T_a), V_x), V_z)) )).
% 12.66/12.89 cnf(matrix-302, plain, ( ~class_Ring__and__Field_Oring(T_a) | ( hAPP(hAPP(c_HOL_Oplus__class_Oplus(T_a), hAPP(hAPP(c_HOL_Otimes__class_Otimes(T_a), V_a), V_e)), V_c) != hAPP(hAPP(c_HOL_Oplus__class_Oplus(T_a), hAPP(hAPP(c_HOL_Otimes__class_Otimes(T_a), V_b), V_e)), V_d)) | ( hAPP(hAPP(c_HOL_Oplus__class_Oplus(T_a), hAPP(hAPP(c_HOL_Otimes__class_Otimes(T_a), c_HOL_Ominus__class_Ominus(V_a, V_b, T_a)), V_e)), V_c) = V_d) )).
% 12.66/12.89 cnf(matrix-303, plain, ( ~class_Ring__and__Field_Oring(T_a) | ( hAPP(hAPP(c_HOL_Oplus__class_Oplus(T_a), hAPP(hAPP(c_HOL_Otimes__class_Otimes(T_a), V_a), V_e)), V_c) != hAPP(hAPP(c_HOL_Oplus__class_Oplus(T_a), hAPP(hAPP(c_HOL_Otimes__class_Otimes(T_a), V_b), V_e)), V_d)) | ( V_c = hAPP(hAPP(c_HOL_Oplus__class_Oplus(T_a), hAPP(hAPP(c_HOL_Otimes__class_Otimes(T_a), c_HOL_Ominus__class_Ominus(V_b, V_a, T_a)), V_e)), V_d)) )).
% 12.66/12.89 cnf(matrix-304, plain, ( ~class_Ring__and__Field_Oring(T_a) | ( hAPP(hAPP(c_HOL_Oplus__class_Oplus(T_a), hAPP(hAPP(c_HOL_Otimes__class_Otimes(T_a), V_a), V_e)), hAPP(hAPP(c_HOL_Oplus__class_Oplus(T_a), hAPP(hAPP(c_HOL_Otimes__class_Otimes(T_a), c_HOL_Ominus__class_Ominus(V_b, V_a, T_a)), V_e)), V_d)) = hAPP(hAPP(c_HOL_Oplus__class_Oplus(T_a), hAPP(hAPP(c_HOL_Otimes__class_Otimes(T_a), V_b), V_e)), V_d)) )).
% 12.66/12.89 cnf(matrix-305, plain, ( ( hAPP(hAPP(V_inf, V_x), V_x) = V_x) | ~c_Lattices_Olower__semilattice(V_less__eq, V_less, V_inf, T_a) )).
% 12.66/12.89 cnf(matrix-306, plain, ( ( hAPP(hAPP(V_inf, hAPP(hAPP(V_inf, V_x), V_y)), V_z) = hAPP(hAPP(V_inf, V_x), hAPP(hAPP(V_inf, V_y), V_z))) | ~c_Lattices_Olower__semilattice(V_less__eq, V_less, V_inf, T_a) )).
% 12.66/12.89 cnf(matrix-307, plain, ( ( hAPP(hAPP(V_inf, V_x), V_y) = hAPP(hAPP(V_inf, V_y), V_x)) | ~c_Lattices_Olower__semilattice(V_less__eq, V_less, V_inf, T_a) )).
% 12.66/12.89 cnf(matrix-308, plain, ( ( hAPP(hAPP(V_inf, V_x), hAPP(hAPP(V_inf, V_x), V_y)) = hAPP(hAPP(V_inf, V_x), V_y)) | ~c_Lattices_Olower__semilattice(V_less__eq, V_less, V_inf, T_a) )).
% 12.66/12.89 cnf(matrix-309, plain, ( ( hAPP(hAPP(V_inf, V_x), hAPP(hAPP(V_inf, V_y), V_z)) = hAPP(hAPP(V_inf, V_y), hAPP(hAPP(V_inf, V_x), V_z))) | ~c_Lattices_Olower__semilattice(V_less__eq, V_less, V_inf, T_a) )).
% 12.66/12.89 cnf(matrix-310, plain, ( ~class_OrderedGroup_Ocomm__monoid__add(T_b) | ( hAPP(hAPP(c_HOL_Oplus__class_Oplus(T_b), c_Finite__Set_Osetsum(V_g, hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(T_a, tc_bool)), V_A), V_B), T_a, T_b)), c_Finite__Set_Osetsum(V_g, hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(T_a, tc_bool)), V_A), V_B), T_a, T_b)) = hAPP(hAPP(c_HOL_Oplus__class_Oplus(T_b), c_Finite__Set_Osetsum(V_g, V_A, T_a, T_b)), c_Finite__Set_Osetsum(V_g, V_B, T_a, T_b))) | ~c_Finite__Set_Ofinite(V_B, T_a) | ~c_Finite__Set_Ofinite(V_A, T_a) )).
% 12.66/12.89 cnf(matrix-311, plain, ( ~class_Ring__and__Field_Oordered__semiring__strict(T_a) | hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(T_a), hAPP(hAPP(c_HOL_Otimes__class_Otimes(T_a), V_a), V_c)), hAPP(hAPP(c_HOL_Otimes__class_Otimes(T_a), V_b), V_d))) | ~hBOOL(hAPP(hAPP(c_lessequals(T_a), c_HOL_Ozero__class_Ozero(T_a)), V_c)) | ~hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(T_a), c_HOL_Ozero__class_Ozero(T_a)), V_b)) | ~hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(T_a), V_c), V_d)) | ~hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(T_a), V_a), V_b)) )).
% 12.66/12.89 cnf(matrix-312, plain, ( ~class_Orderings_Olinorder(T_a) | hBOOL(hAPP(hAPP(c_lessequals(T_a), hAPP(hAPP(c_Orderings_Oord__class_Omin(T_a), V_x), V_y)), V_x)) )).
% 12.66/12.89 cnf(matrix-313, plain, ( ~class_Orderings_Olinorder(T_a) | hBOOL(hAPP(hAPP(c_lessequals(T_a), hAPP(hAPP(c_Orderings_Oord__class_Omin(T_a), V_x), V_y)), V_y)) )).
% 12.66/12.89 cnf(matrix-314, plain, ( ~class_Orderings_Olinorder(T_a) | hBOOL(hAPP(hAPP(c_lessequals(T_a), V_x), hAPP(hAPP(c_Orderings_Oord__class_Omin(T_a), V_a), V_b))) | ~hBOOL(hAPP(hAPP(c_lessequals(T_a), V_x), V_b)) | ~hBOOL(hAPP(hAPP(c_lessequals(T_a), V_x), V_a)) )).
% 12.66/12.89 cnf(matrix-315, plain, ( ~class_Orderings_Olinorder(T_a) | hBOOL(hAPP(hAPP(c_lessequals(T_a), V_x), hAPP(hAPP(c_Orderings_Oord__class_Omin(T_a), V_y), V_z))) | ~hBOOL(hAPP(hAPP(c_lessequals(T_a), V_x), V_z)) | ~hBOOL(hAPP(hAPP(c_lessequals(T_a), V_x), V_y)) )).
% 12.66/12.89 cnf(matrix-316, plain, ( ~class_Orderings_Olinorder(T_a) | hBOOL(hAPP(hAPP(c_lessequals(T_a), V_x), hAPP(hAPP(c_Orderings_Oord__class_Omin(T_a), V_y), V_z))) | ~hBOOL(hAPP(hAPP(c_lessequals(T_a), V_x), V_z)) | ~hBOOL(hAPP(hAPP(c_lessequals(T_a), V_x), V_y)) )).
% 12.66/12.89 cnf(matrix-317, plain, ( ~class_Ring__and__Field_Oring(T_a) | ( hAPP(hAPP(c_HOL_Oplus__class_Oplus(T_a), hAPP(hAPP(c_HOL_Otimes__class_Otimes(T_a), V_a), V_e)), V_c) = hAPP(hAPP(c_HOL_Oplus__class_Oplus(T_a), hAPP(hAPP(c_HOL_Otimes__class_Otimes(T_a), V_b), V_e)), hAPP(hAPP(c_HOL_Oplus__class_Oplus(T_a), hAPP(hAPP(c_HOL_Otimes__class_Otimes(T_a), c_HOL_Ominus__class_Ominus(V_a, V_b, T_a)), V_e)), V_c))) )).
% 12.66/12.89 cnf(matrix-318, plain, ( ( c_Option_Ooption_Ooption__case(V_f1, V_f2, hAPP(c_Option_Ooption_OSome(T_b), V_a), T_a, T_b) = hAPP(V_f2, V_a)) )).
% 12.66/12.89 cnf(matrix-319, plain, ( ~class_OrderedGroup_Opordered__ab__group__add(T_a) | ( c_HOL_Ominus__class_Ominus(hAPP(hAPP(c_Orderings_Oord__class_Omin(T_a), V_x), V_y), V_z, T_a) = hAPP(hAPP(c_Orderings_Oord__class_Omin(T_a), c_HOL_Ominus__class_Ominus(V_x, V_z, T_a)), c_HOL_Ominus__class_Ominus(V_y, V_z, T_a))) )).
% 12.66/12.89 cnf(matrix-320, plain, ( ~class_Orderings_Olinorder(T_a) | hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(T_a), hAPP(hAPP(c_Orderings_Oord__class_Omax(T_a), V_x), V_y)), V_z)) | ~hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(T_a), V_y), V_z)) | ~hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(T_a), V_x), V_z)) )).
% 12.66/12.89 cnf(matrix-321, plain, ( ( c_Finite__Set_Ofold(V_inf, V_b, hAPP(hAPP(c_Set_Oinsert(T_a), V_a), V_A), T_a, T_a) = hAPP(hAPP(V_inf, V_a), c_Finite__Set_Ofold(V_inf, V_b, V_A, T_a, T_a))) | ~c_Finite__Set_Ofinite(V_A, T_a) | ~c_Lattices_Olower__semilattice(V_less__eq, V_less, V_inf, T_a) )).
% 12.66/12.89 cnf(matrix-322, plain, ( ( hAPP(hAPP(V_f, V_x), hAPP(hAPP(V_f, V_y), V_z)) = hAPP(hAPP(V_f, V_y), hAPP(hAPP(V_f, V_x), V_z))) | ~c_Finite__Set_Ofun__left__comm(V_f, T_a, T_b) )).
% 12.66/12.89 cnf(matrix-323, plain, ( ( V_y = V_x) | ~hBOOL(hAPP(c_Finite__Set_Ofold__graph(V_f, V_z, V_A, T_a, T_b), V_y)) | ~hBOOL(hAPP(c_Finite__Set_Ofold__graph(V_f, V_z, V_A, T_a, T_b), V_x)) | ~c_Finite__Set_Ofun__left__comm(V_f, T_a, T_b) )).
% 12.66/12.89 cnf(matrix-324, plain, ( ~class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(T_a) | ~class_OrderedGroup_Ocomm__monoid__add(T_a) | hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(T_a), V_b), hAPP(hAPP(c_HOL_Oplus__class_Oplus(T_a), V_a), V_c))) | ~hBOOL(hAPP(hAPP(c_lessequals(T_a), V_b), V_c)) | ~hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(T_a), c_HOL_Ozero__class_Ozero(T_a)), V_a)) )).
% 12.66/12.89 cnf(matrix-325, plain, ( ~class_Orderings_Olinorder(T_a) | hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(T_a), V_z), hAPP(hAPP(c_Orderings_Oord__class_Omin(T_a), V_x), V_y))) | ~hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(T_a), V_z), V_y)) | ~hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(T_a), V_z), V_x)) )).
% 12.66/12.89 cnf(matrix-326, plain, ( ~class_Ring__and__Field_Oidom(T_a) | ~class_Int_Onumber__ring(T_a) | ( hAPP(hAPP(c_HOL_Oplus__class_Oplus(T_a), hAPP(hAPP(c_HOL_Otimes__class_Otimes(T_a), V_x), V_c)), hAPP(hAPP(c_HOL_Otimes__class_Otimes(T_a), V_x), V_d)) = hAPP(hAPP(c_HOL_Oplus__class_Oplus(T_a), hAPP(hAPP(c_HOL_Otimes__class_Otimes(T_a), V_x), V_d)), hAPP(hAPP(c_HOL_Otimes__class_Otimes(T_a), V_x), V_c))) )).
% 12.66/12.89 cnf(matrix-327, plain, ( ~class_Ring__and__Field_Oidom(T_a) | ~class_Int_Onumber__ring(T_a) | ( hAPP(hAPP(c_HOL_Oplus__class_Oplus(T_a), hAPP(hAPP(c_HOL_Otimes__class_Otimes(T_a), V_x), V_y)), hAPP(hAPP(c_HOL_Otimes__class_Otimes(T_a), V_x), V_z)) = hAPP(hAPP(c_HOL_Oplus__class_Oplus(T_a), hAPP(hAPP(c_HOL_Otimes__class_Otimes(T_a), V_x), V_z)), hAPP(hAPP(c_HOL_Otimes__class_Otimes(T_a), V_x), V_y))) )).
% 12.66/12.89 cnf(matrix-328, plain, ( ~class_OrderedGroup_Ocomm__monoid__add(T_a) | ( c_Finite__Set_Osetsum(V_f, V_A, T_b, T_a) = c_Finite__Set_Ofold__image(c_HOL_Oplus__class_Oplus(T_a), V_f, c_HOL_Ozero__class_Ozero(T_a), V_A, T_a, T_b)) | ~c_Finite__Set_Ofinite(V_A, T_b) )).
% 12.66/12.89 cnf(matrix-329, plain, ( ~class_OrderedGroup_Olordered__ab__group__add(T_a) | hBOOL(hAPP(hAPP(c_lessequals(T_a), c_HOL_Ozero__class_Ozero(T_a)), V_a)) | ~hBOOL(hAPP(hAPP(c_lessequals(T_a), c_HOL_Ozero__class_Ozero(T_a)), hAPP(hAPP(c_HOL_Oplus__class_Oplus(T_a), V_a), V_a))) )).
% 12.66/12.89 cnf(matrix-330, plain, ( ~class_OrderedGroup_Olordered__ab__group__add(T_a) | hBOOL(hAPP(hAPP(c_lessequals(T_a), c_HOL_Ozero__class_Ozero(T_a)), hAPP(hAPP(c_HOL_Oplus__class_Oplus(T_a), V_a), V_a))) | ~hBOOL(hAPP(hAPP(c_lessequals(T_a), c_HOL_Ozero__class_Ozero(T_a)), V_a)) )).
% 12.66/12.89 cnf(matrix-331, plain, ( ~class_Orderings_Olinorder(T_a) | ( hAPP(hAPP(c_Orderings_Oord__class_Omin(T_a), V_x), hAPP(hAPP(c_Orderings_Oord__class_Omin(T_a), V_x), V_y)) = hAPP(hAPP(c_Orderings_Oord__class_Omin(T_a), V_x), V_y)) )).
% 12.66/12.89 cnf(matrix-332, plain, ( ~class_OrderedGroup_Ogroup__add(T_a) | ( hAPP(hAPP(c_HOL_Oplus__class_Oplus(T_a), c_HOL_Ominus__class_Ominus(V_a, V_b, T_a)), V_b) = V_a) )).
% 12.66/12.89 cnf(matrix-333, plain, ( ~class_Lattices_Olattice(T_a) | ( c_Finite__Set_Olattice__class_OInf__fin(T_a) = c_Finite__Set_Ofold1(c_Lattices_Olower__semilattice__class_Oinf(T_a), T_a)) )).
% 12.66/12.89 cnf(matrix-334, plain, ( ~class_OrderedGroup_Opordered__ab__semigroup__add(T_a) | hBOOL(hAPP(hAPP(c_lessequals(T_a), hAPP(hAPP(c_HOL_Oplus__class_Oplus(T_a), V_a), V_c)), hAPP(hAPP(c_HOL_Oplus__class_Oplus(T_a), V_b), V_d))) | ~hBOOL(hAPP(hAPP(c_lessequals(T_a), V_c), V_d)) | ~hBOOL(hAPP(hAPP(c_lessequals(T_a), V_a), V_b)) )).
% 12.66/12.89 cnf(matrix-335, plain, ( c_Finite__Set_Ofinite(V_A, T_a) | ~hBOOL(hAPP(c_Finite__Set_Ofold__graph(V_f, V_z, V_A, T_a, T_b), V_x)) )).
% 12.66/12.89 cnf(matrix-336, plain, ( ~class_Lattices_Oupper__semilattice(T_a) | c_OrderedGroup_Oab__semigroup__idem__mult(c_Lattices_Oupper__semilattice__class_Osup(T_a), T_a) )).
% 12.66/12.89 cnf(matrix-337, plain, ( ( hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(T_a, tc_bool)), hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(T_a, tc_bool)), V_B), V_C)), V_A) = hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(T_a, tc_bool)), hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(T_a, tc_bool)), V_B), V_A)), hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(T_a, tc_bool)), V_C), V_A))) )).
% 12.66/12.89 cnf(matrix-338, plain, ( ( hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(T_a, tc_bool)), V_A), hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(T_a, tc_bool)), V_B), V_C)) = hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(T_a, tc_bool)), hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(T_a, tc_bool)), V_A), V_B)), hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(T_a, tc_bool)), V_A), V_C))) )).
% 12.66/12.89 cnf(matrix-339, plain, ( ~class_Lattices_Odistrib__lattice(T_a) | ( hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(T_a), V_x), hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(T_a), V_y), V_z)) = hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(T_a), hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(T_a), V_x), V_y)), hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(T_a), V_x), V_z))) )).
% 12.66/12.89 cnf(matrix-340, plain, ( ~class_Lattices_Odistrib__lattice(T_a) | ( hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(T_a), hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(T_a), V_y), V_z)), V_x) = hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(T_a), hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(T_a), V_y), V_x)), hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(T_a), V_z), V_x))) )).
% 12.66/12.89 cnf(matrix-341, plain, ( ~class_Ring__and__Field_Ocomm__semiring__1(T_a) | ( hAPP(hAPP(c_HOL_Otimes__class_Otimes(T_a), V_x), V_y) = hAPP(hAPP(c_HOL_Otimes__class_Otimes(T_a), V_y), V_x)) )).
% 12.66/12.89 cnf(matrix-342, plain, ( ~class_OrderedGroup_Olordered__ab__group__add(T_a) | ( hAPP(hAPP(c_HOL_Oplus__class_Oplus(T_a), c_HOL_Ozero__class_Ozero(T_a)), c_HOL_Ozero__class_Ozero(T_a)) = c_HOL_Ozero__class_Ozero(T_a)) )).
% 12.66/12.89 cnf(matrix-343, plain, ( ~class_OrderedGroup_Opordered__comm__monoid__add(T_a) | ~hBOOL(hAPP(hAPP(c_lessequals(T_a), c_HOL_Ozero__class_Ozero(T_a)), c_HOL_Ozero__class_Ozero(T_a))) | ( hAPP(hAPP(c_HOL_Oplus__class_Oplus(T_a), c_HOL_Ozero__class_Ozero(T_a)), c_HOL_Ozero__class_Ozero(T_a)) = c_HOL_Ozero__class_Ozero(T_a)) )).
% 12.66/12.89 cnf(matrix-344, plain, ( ~class_Ring__and__Field_Ocomm__semiring__1(T_a) | ( hAPP(hAPP(c_HOL_Otimes__class_Otimes(T_a), V_a), V_b) = hAPP(hAPP(c_HOL_Otimes__class_Otimes(T_a), V_b), V_a)) )).
% 12.66/12.89 cnf(matrix-345, plain, ( ~class_OrderedGroup_Olordered__ab__group__add__join(T_a) | ( hAPP(hAPP(c_HOL_Oplus__class_Oplus(T_a), V_a), hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(T_a), V_b), V_c)) = hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(T_a), hAPP(hAPP(c_HOL_Oplus__class_Oplus(T_a), V_a), V_b)), hAPP(hAPP(c_HOL_Oplus__class_Oplus(T_a), V_a), V_c))) )).
% 12.66/12.89 cnf(matrix-346, plain, ( ~class_OrderedGroup_Olordered__ab__group__add__join(T_a) | ( hAPP(hAPP(c_HOL_Oplus__class_Oplus(T_a), hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(T_a), V_a), V_b)), V_c) = hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(T_a), hAPP(hAPP(c_HOL_Oplus__class_Oplus(T_a), V_a), V_c)), hAPP(hAPP(c_HOL_Oplus__class_Oplus(T_a), V_b), V_c))) )).
% 12.66/12.89 cnf(matrix-347, plain, ( ~class_OrderedGroup_Olordered__ab__group__add(T_a) | ( hAPP(hAPP(c_HOL_Oplus__class_Oplus(T_a), V_a), hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(T_a), V_b), V_c)) = hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(T_a), hAPP(hAPP(c_HOL_Oplus__class_Oplus(T_a), V_a), V_b)), hAPP(hAPP(c_HOL_Oplus__class_Oplus(T_a), V_a), V_c))) )).
% 12.66/12.89 cnf(matrix-348, plain, ( ~class_OrderedGroup_Olordered__ab__group__add(T_a) | ( hAPP(hAPP(c_HOL_Oplus__class_Oplus(T_a), hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(T_a), V_a), V_b)), V_c) = hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(T_a), hAPP(hAPP(c_HOL_Oplus__class_Oplus(T_a), V_a), V_c)), hAPP(hAPP(c_HOL_Oplus__class_Oplus(T_a), V_b), V_c))) )).
% 12.66/12.89 cnf(matrix-349, plain, ( ~class_Complete__Lattice_Ocomplete__lattice(T_a) | ( hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(T_a), V_B), c_Complete__Lattice_OInf__class_OInf(V_A, T_a)) = c_Finite__Set_Ofold(c_Lattices_Olower__semilattice__class_Oinf(T_a), V_B, V_A, T_a, T_a)) | ~c_Finite__Set_Ofinite(V_A, T_a) )).
% 12.66/12.89 cnf(matrix-350, plain, ( ~class_OrderedGroup_Opordered__comm__monoid__add(T_a) | hBOOL(hAPP(hAPP(c_lessequals(T_a), c_HOL_Ozero__class_Ozero(T_a)), hAPP(hAPP(c_HOL_Oplus__class_Oplus(T_a), V_a), V_b))) | ~hBOOL(hAPP(hAPP(c_lessequals(T_a), c_HOL_Ozero__class_Ozero(T_a)), V_b)) | ~hBOOL(hAPP(hAPP(c_lessequals(T_a), c_HOL_Ozero__class_Ozero(T_a)), V_a)) )).
% 12.66/12.89 cnf(matrix-351, plain, ( ( V_b = V_y) | ( hAPP(c_Fun_Ofun__upd(V_m, V_x, hAPP(c_Option_Ooption_OSome(T_aa), V_b), T_a, tc_Option_Ooption(T_aa)), V_x) != hAPP(c_Option_Ooption_OSome(T_aa), V_y)) )).
% 12.66/12.89 cnf(matrix-352, plain, ( ~class_Orderings_Opreorder(T_a) | hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(T_a), V_x), V_z)) | ~hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(T_a), V_y), V_z)) | ~hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(T_a), V_x), V_y)) )).
% 12.66/12.89 cnf(matrix-353, plain, ( hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(tc_fun(T_a, tc_bool)), V_A), V_C)) | ~hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(tc_fun(T_a, tc_bool)), V_B), V_C)) | ~hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(tc_fun(T_a, tc_bool)), V_A), V_B)) )).
% 12.66/12.89 cnf(matrix-354, plain, ( ~class_Orderings_Oorder(T_a) | hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(T_a), V_z), V_x)) | ~hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(T_a), V_z), V_y)) | ~hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(T_a), V_y), V_x)) )).
% 12.66/12.89 cnf(matrix-355, plain, ( ~class_OrderedGroup_Oab__semigroup__mult(T_a) | c_Finite__Set_Ofun__left__comm(c_HOL_Otimes__class_Otimes(T_a), T_a, T_a) )).
% 12.66/12.89 cnf(matrix-356, plain, ( ~class_Orderings_Olinorder(T_a) | ( hAPP(hAPP(c_Orderings_Oord__class_Omax(T_a), V_x), V_y) = V_y) | ~hBOOL(hAPP(hAPP(c_lessequals(T_a), V_x), V_y)) )).
% 12.66/12.89 cnf(matrix-357, plain, ( ~class_Orderings_Olinorder(T_a) | ( hAPP(hAPP(c_Orderings_Oord__class_Omax(T_a), V_x), V_y) != V_y) | hBOOL(hAPP(hAPP(c_lessequals(T_a), V_x), V_y)) )).
% 12.66/12.89 cnf(matrix-358, plain, ( ~class_Orderings_Olinorder(T_a) | ( hAPP(hAPP(c_Orderings_Oord__class_Omax(T_a), V_x), V_y) = V_x) | ~hBOOL(hAPP(hAPP(c_lessequals(T_a), V_y), V_x)) )).
% 12.66/12.89 cnf(matrix-359, plain, ( ~class_Ring__and__Field_Ocomm__semiring__1(T_a) | ( hAPP(hAPP(c_HOL_Oplus__class_Oplus(T_a), V_x), hAPP(hAPP(c_HOL_Oplus__class_Oplus(T_a), V_y), V_z)) = hAPP(hAPP(c_HOL_Oplus__class_Oplus(T_a), hAPP(hAPP(c_HOL_Oplus__class_Oplus(T_a), V_x), V_y)), V_z)) )).
% 12.66/12.89 cnf(matrix-360, plain, ( ~class_OrderedGroup_Oab__group__add(T_a) | ( hAPP(hAPP(c_HOL_Oplus__class_Oplus(T_a), V_x), hAPP(hAPP(c_HOL_Oplus__class_Oplus(T_a), V_y), V_z)) = hAPP(hAPP(c_HOL_Oplus__class_Oplus(T_a), V_y), hAPP(hAPP(c_HOL_Oplus__class_Oplus(T_a), V_x), V_z))) )).
% 12.66/12.89 cnf(matrix-361, plain, ( ~class_OrderedGroup_Ocomm__monoid__add(T_a) | ( hAPP(hAPP(c_HOL_Oplus__class_Oplus(T_a), hAPP(hAPP(c_HOL_Oplus__class_Oplus(T_a), V_a), V_b)), V_c) = hAPP(hAPP(c_HOL_Oplus__class_Oplus(T_a), V_a), hAPP(hAPP(c_HOL_Oplus__class_Oplus(T_a), V_b), V_c))) )).
% 12.66/12.89 cnf(matrix-362, plain, ( ~class_OrderedGroup_Ocomm__monoid__add(T_a) | ( hAPP(hAPP(c_HOL_Oplus__class_Oplus(T_a), V_a), hAPP(hAPP(c_HOL_Oplus__class_Oplus(T_a), V_b), V_c)) = hAPP(hAPP(c_HOL_Oplus__class_Oplus(T_a), V_b), hAPP(hAPP(c_HOL_Oplus__class_Oplus(T_a), V_a), V_c))) )).
% 12.66/12.89 cnf(matrix-363, plain, ( ~class_OrderedGroup_Oab__semigroup__add(T_a) | ( hAPP(hAPP(c_HOL_Oplus__class_Oplus(T_a), hAPP(hAPP(c_HOL_Oplus__class_Oplus(T_a), V_a), V_b)), V_c) = hAPP(hAPP(c_HOL_Oplus__class_Oplus(T_a), V_a), hAPP(hAPP(c_HOL_Oplus__class_Oplus(T_a), V_b), V_c))) )).
% 12.66/12.89 cnf(matrix-364, plain, ( ~class_Ring__and__Field_Ocomm__semiring__1(T_a) | ( hAPP(hAPP(c_HOL_Oplus__class_Oplus(T_a), V_a), hAPP(hAPP(c_HOL_Oplus__class_Oplus(T_a), V_c), V_d)) = hAPP(hAPP(c_HOL_Oplus__class_Oplus(T_a), hAPP(hAPP(c_HOL_Oplus__class_Oplus(T_a), V_a), V_c)), V_d)) )).
% 12.66/12.89 cnf(matrix-365, plain, ( ~class_Ring__and__Field_Ocomm__semiring__1(T_a) | ( hAPP(hAPP(c_HOL_Oplus__class_Oplus(T_a), hAPP(hAPP(c_HOL_Oplus__class_Oplus(T_a), V_a), V_b)), V_c) = hAPP(hAPP(c_HOL_Oplus__class_Oplus(T_a), hAPP(hAPP(c_HOL_Oplus__class_Oplus(T_a), V_a), V_c)), V_b)) )).
% 12.66/12.89 cnf(matrix-366, plain, ( ~class_Ring__and__Field_Ocomm__semiring__1(T_a) | ( hAPP(hAPP(c_HOL_Oplus__class_Oplus(T_a), V_a), hAPP(hAPP(c_HOL_Oplus__class_Oplus(T_a), V_c), V_d)) = hAPP(hAPP(c_HOL_Oplus__class_Oplus(T_a), V_c), hAPP(hAPP(c_HOL_Oplus__class_Oplus(T_a), V_a), V_d))) )).
% 12.66/12.89 cnf(matrix-367, plain, ( ~class_Ring__and__Field_Ocomm__semiring__1(T_a) | ( hAPP(hAPP(c_HOL_Oplus__class_Oplus(T_a), hAPP(hAPP(c_HOL_Oplus__class_Oplus(T_a), V_a), V_b)), V_c) = hAPP(hAPP(c_HOL_Oplus__class_Oplus(T_a), V_a), hAPP(hAPP(c_HOL_Oplus__class_Oplus(T_a), V_b), V_c))) )).
% 12.66/12.89 cnf(matrix-368, plain, ( ~class_OrderedGroup_Ocomm__monoid__add(T_a) | c_Finite__Set_Ofun__left__comm(c_HOL_Oplus__class_Oplus(T_a), T_a, T_a) )).
% 12.66/12.89 cnf(matrix-369, plain, ( ~class_Orderings_Olinorder(T_a) | c_Orderings_Olinorder(c_COMBC(c_lessequals(T_a), T_a, T_a, tc_bool), c_COMBC(c_HOL_Oord__class_Oless(T_a), T_a, T_a, tc_bool), T_a) )).
% 12.66/12.89 cnf(matrix-370, plain, ( ~class_OrderedGroup_Oab__group__add(T_a) | ( hAPP(hAPP(c_HOL_Oplus__class_Oplus(T_a), V_x), hAPP(hAPP(c_HOL_Oplus__class_Oplus(T_a), V_y), V_z)) != hAPP(hAPP(c_HOL_Oplus__class_Oplus(T_a), V_y), V_u)) | ( hAPP(hAPP(c_HOL_Oplus__class_Oplus(T_a), V_x), V_z) = V_u) )).
% 12.66/12.89 cnf(matrix-371, plain, ( ~class_Orderings_Olinorder(T_a) | ~class_Lattices_Olower__semilattice(T_a) | ( c_Lattices_Olower__semilattice__class_Oinf(T_a) = c_Orderings_Oord__class_Omin(T_a)) )).
% 12.66/12.89 cnf(matrix-372, plain, ( ~class_Orderings_Olinorder(T_a) | ( hAPP(hAPP(c_Orderings_Oord__class_Omin(T_a), V_x), V_y) = V_x) | ~hBOOL(hAPP(hAPP(c_lessequals(T_a), V_x), V_y)) )).
% 12.66/12.89 cnf(matrix-373, plain, ( ~class_Orderings_Olinorder(T_a) | ( hAPP(hAPP(c_Orderings_Oord__class_Omin(T_a), V_x), V_y) != V_x) | hBOOL(hAPP(hAPP(c_lessequals(T_a), V_x), V_y)) )).
% 12.66/12.89 cnf(matrix-374, plain, ( ~class_Orderings_Olinorder(T_a) | ( hAPP(hAPP(c_Orderings_Oord__class_Omin(T_a), V_x), V_y) = V_y) | ~hBOOL(hAPP(hAPP(c_lessequals(T_a), V_y), V_x)) )).
% 12.66/12.89 cnf(matrix-375, plain, ( ~class_OrderedGroup_Opordered__ab__group__add(T_a) | ( c_HOL_Ominus__class_Ominus(hAPP(hAPP(c_Orderings_Oord__class_Omax(T_a), V_x), V_y), V_z, T_a) = hAPP(hAPP(c_Orderings_Oord__class_Omax(T_a), c_HOL_Ominus__class_Ominus(V_x, V_z, T_a)), c_HOL_Ominus__class_Ominus(V_y, V_z, T_a))) )).
% 12.66/12.90 cnf(matrix-376, plain, ( ( hAPP(hAPP(c_COMBC(V_P, T_b, T_c, T_a), V_Q), V_R) = hAPP(hAPP(V_P, V_R), V_Q)) )).
% 12.66/12.90 cnf(matrix-377, plain, ( ( hAPP(c_COMBK(V_P, T_a, T_b), V_Q) = V_P) )).
% 12.66/12.90 cnf(matrix-378, plain, ( ~class_Orderings_Olinorder(T_a) | hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(T_a), V_x), V_y)) | hBOOL(hAPP(hAPP(c_lessequals(T_a), V_y), V_x)) )).
% 12.66/12.90 cnf(matrix-379, plain, ( ~class_Orderings_Olinorder(T_a) | ~hBOOL(hAPP(hAPP(c_lessequals(T_a), V_x), V_x)) | ~hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(T_a), V_x), V_x)) )).
% 12.66/12.90 cnf(matrix-380, plain, ( ~class_Orderings_Olinorder(T_a) | hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(T_a), V_x), V_x)) | hBOOL(hAPP(hAPP(c_lessequals(T_a), V_x), V_x)) )).
% 12.66/12.90 cnf(matrix-381, plain, ( ~class_Orderings_Olinorder(T_a) | ~hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(T_a), V_x), V_y)) | ~hBOOL(hAPP(hAPP(c_lessequals(T_a), V_y), V_x)) )).
% 12.66/12.90 cnf(matrix-382, plain, ( ~class_Orderings_Olinorder(T_a) | hBOOL(hAPP(hAPP(c_lessequals(T_a), V_y), V_x)) | hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(T_a), V_x), V_y)) )).
% 12.66/12.90 cnf(matrix-383, plain, ( ~class_Orderings_Olinorder(T_a) | ~hBOOL(hAPP(hAPP(c_lessequals(T_a), V_x), V_y)) | ~hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(T_a), V_y), V_x)) )).
% 12.66/12.90 cnf(matrix-384, plain, ( ~class_Orderings_Olinorder(T_a) | hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(T_a), V_y), V_x)) | hBOOL(hAPP(hAPP(c_lessequals(T_a), V_x), V_y)) )).
% 12.66/12.90 cnf(matrix-385, plain, ( ~class_HOL_Oord(T_b) | ~hBOOL(hAPP(hAPP(c_lessequals(tc_fun(T_a, T_b)), V_g), V_f)) | ~hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(tc_fun(T_a, T_b)), V_f), V_g)) )).
% 12.66/12.90 cnf(matrix-386, plain, ( ~class_Orderings_Opreorder(T_a) | ~hBOOL(hAPP(hAPP(c_lessequals(T_a), V_y), V_x)) | ~hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(T_a), V_x), V_y)) )).
% 12.66/12.90 cnf(matrix-387, plain, ( ~hBOOL(hAPP(V_P, c_Option_Ooption_Ooption__case(V_f1, V_f2, c_Option_Ooption_ONone(t_b), t_a, t_b))) | hBOOL(hAPP(V_P, V_f1)) )).
% 12.66/12.90 cnf(matrix-388, plain, ( ~class_OrderedGroup_Olordered__ab__group__add__meet(T_a) | ( hAPP(hAPP(c_HOL_Oplus__class_Oplus(T_a), V_a), hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(T_a), V_b), V_c)) = hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(T_a), hAPP(hAPP(c_HOL_Oplus__class_Oplus(T_a), V_a), V_b)), hAPP(hAPP(c_HOL_Oplus__class_Oplus(T_a), V_a), V_c))) )).
% 12.66/12.90 cnf(matrix-389, plain, ( ~class_OrderedGroup_Olordered__ab__group__add__meet(T_a) | ( hAPP(hAPP(c_HOL_Oplus__class_Oplus(T_a), hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(T_a), V_a), V_b)), V_c) = hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(T_a), hAPP(hAPP(c_HOL_Oplus__class_Oplus(T_a), V_a), V_c)), hAPP(hAPP(c_HOL_Oplus__class_Oplus(T_a), V_b), V_c))) )).
% 12.66/12.90 cnf(matrix-390, plain, ( ~class_OrderedGroup_Olordered__ab__group__add(T_a) | ( hAPP(hAPP(c_HOL_Oplus__class_Oplus(T_a), V_a), hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(T_a), V_b), V_c)) = hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(T_a), hAPP(hAPP(c_HOL_Oplus__class_Oplus(T_a), V_a), V_b)), hAPP(hAPP(c_HOL_Oplus__class_Oplus(T_a), V_a), V_c))) )).
% 12.66/12.90 cnf(matrix-391, plain, ( ~class_OrderedGroup_Olordered__ab__group__add(T_a) | ( hAPP(hAPP(c_HOL_Oplus__class_Oplus(T_a), hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(T_a), V_a), V_b)), V_c) = hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(T_a), hAPP(hAPP(c_HOL_Oplus__class_Oplus(T_a), V_a), V_c)), hAPP(hAPP(c_HOL_Oplus__class_Oplus(T_a), V_b), V_c))) )).
% 12.66/12.90 cnf(matrix-392, plain, ( ~class_Orderings_Olinorder(T_a) | ( hAPP(hAPP(c_Orderings_Oord__class_Omin(T_a), hAPP(hAPP(c_Orderings_Oord__class_Omin(T_a), V_x), V_y)), V_z) = hAPP(hAPP(c_Orderings_Oord__class_Omin(T_a), V_x), hAPP(hAPP(c_Orderings_Oord__class_Omin(T_a), V_y), V_z))) )).
% 12.66/12.90 cnf(matrix-393, plain, ( ~class_Orderings_Olinorder(T_a) | ( hAPP(hAPP(c_Orderings_Oord__class_Omin(T_a), V_x), hAPP(hAPP(c_Orderings_Oord__class_Omin(T_a), V_y), V_z)) = hAPP(hAPP(c_Orderings_Oord__class_Omin(T_a), V_y), hAPP(hAPP(c_Orderings_Oord__class_Omin(T_a), V_x), V_z))) )).
% 12.66/12.90 cnf(matrix-394, plain, ( ( V_A = V_B) | ~hBOOL(hAPP(hAPP(c_lessequals(tc_fun(T_a, tc_bool)), V_B), V_A)) | ~hBOOL(hAPP(hAPP(c_lessequals(tc_fun(T_a, tc_bool)), V_A), V_B)) )).
% 12.66/12.90 cnf(matrix-395, plain, ( hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(tc_nat), V_n), V_m)) | hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(tc_nat), V_m), V_n)) | ( V_m = V_n) )).
% 12.66/12.90 cnf(matrix-396, plain, ( ( V_A = V_B) | ~hBOOL(hAPP(hAPP(c_lessequals(tc_fun(T_a, tc_bool)), V_B), V_A)) | ~hBOOL(hAPP(hAPP(c_lessequals(tc_fun(T_a, tc_bool)), V_A), V_B)) )).
% 12.66/12.90 cnf(matrix-397, plain, ( hBOOL(hAPP(hAPP(V_P, V_n), V_m)) | hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(tc_nat), V_n), V_m)) | ( V_m = V_n) | hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(tc_nat), V_m), V_n)) )).
% 12.66/12.90 cnf(matrix-398, plain, ( hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(tc_nat), V_y), V_x)) | hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(tc_nat), V_x), V_y)) | ( V_x = V_y) )).
% 12.66/12.90 cnf(matrix-399, plain, ( ~class_Orderings_Oorder(T_a) | ( V_x = V_y) | ~hBOOL(hAPP(hAPP(c_lessequals(T_a), V_y), V_x)) | ~hBOOL(hAPP(hAPP(c_lessequals(T_a), V_x), V_y)) )).
% 12.66/12.90 cnf(matrix-400, plain, ( ~class_Orderings_Olinorder(T_a) | hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(T_a), V_y), V_x)) | hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(T_a), V_x), V_y)) | ( V_x = V_y) )).
% 12.66/12.90 cnf(matrix-401, plain, ( ~class_Orderings_Oorder(T_a) | ( V_x = V_y) | ~hBOOL(hAPP(hAPP(c_lessequals(T_a), V_y), V_x)) | ~hBOOL(hAPP(hAPP(c_lessequals(T_a), V_x), V_y)) )).
% 12.66/12.90 cnf(matrix-402, plain, ( ~class_Orderings_Oorder(T_a) | ( V_x = V_y) | ~hBOOL(hAPP(hAPP(c_lessequals(T_a), V_x), V_y)) | ~hBOOL(hAPP(hAPP(c_lessequals(T_a), V_y), V_x)) )).
% 12.66/12.90 cnf(matrix-403, plain, ( ~class_Orderings_Olinorder(T_a) | hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(T_a), V_y), V_x)) | ( V_x = V_y) | hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(T_a), V_x), V_y)) )).
% 12.66/12.90 cnf(matrix-404, plain, ( ~class_Orderings_Olinorder(T_a) | ( V_x = V_y) | hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(T_a), V_x), V_y)) | hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(T_a), V_y), V_x)) )).
% 12.66/12.90 cnf(matrix-405, plain, ( ~class_OrderedGroup_Ocomm__monoid__mult(T_b) | ( hAPP(hAPP(c_HOL_Otimes__class_Otimes(T_b), c_Finite__Set_Osetprod(V_g, hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(T_a, tc_bool)), V_A), V_B), T_a, T_b)), c_Finite__Set_Osetprod(V_g, hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(T_a, tc_bool)), V_A), V_B), T_a, T_b)) = hAPP(hAPP(c_HOL_Otimes__class_Otimes(T_b), c_Finite__Set_Osetprod(V_g, V_A, T_a, T_b)), c_Finite__Set_Osetprod(V_g, V_B, T_a, T_b))) | ~c_Finite__Set_Ofinite(V_B, T_a) | ~c_Finite__Set_Ofinite(V_A, T_a) )).
% 12.66/12.90 cnf(matrix-406, plain, ( ~class_OrderedGroup_Opordered__ab__group__add(T_a) | hBOOL(hAPP(hAPP(c_lessequals(T_a), V_a), V_b)) | ~hBOOL(hAPP(hAPP(c_lessequals(T_a), c_HOL_Ominus__class_Ominus(V_a, V_b, T_a)), c_HOL_Ozero__class_Ozero(T_a))) )).
% 12.66/12.90 cnf(matrix-407, plain, ( ~class_OrderedGroup_Opordered__ab__group__add(T_a) | hBOOL(hAPP(hAPP(c_lessequals(T_a), c_HOL_Ominus__class_Ominus(V_a, V_b, T_a)), c_HOL_Ozero__class_Ozero(T_a))) | ~hBOOL(hAPP(hAPP(c_lessequals(T_a), V_a), V_b)) )).
% 12.66/12.90 cnf(matrix-408, plain, ( ~class_Orderings_Olinorder(T_a) | ( hAPP(hAPP(c_Orderings_Oord__class_Omax(T_a), V_x), V_x) = V_x) )).
% 12.66/12.90 cnf(matrix-409, plain, ( ~class_OrderedGroup_Ocomm__monoid__mult(T_b) | ( hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(T_a, tc_bool)), V_A), V_B) != c_Orderings_Obot__class_Obot(tc_fun(T_a, tc_bool))) | ~c_Finite__Set_Ofinite(V_B, T_a) | ~c_Finite__Set_Ofinite(V_A, T_a) | ( c_Finite__Set_Osetprod(V_g, hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(T_a, tc_bool)), V_A), V_B), T_a, T_b) = hAPP(hAPP(c_HOL_Otimes__class_Otimes(T_b), c_Finite__Set_Osetprod(V_g, V_A, T_a, T_b)), c_Finite__Set_Osetprod(V_g, V_B, T_a, T_b))) )).
% 12.66/12.90 cnf(matrix-410, plain, ( ~class_OrderedGroup_Opordered__cancel__ab__semigroup__add(T_a) | hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(T_a), hAPP(hAPP(c_HOL_Oplus__class_Oplus(T_a), V_a), V_c)), hAPP(hAPP(c_HOL_Oplus__class_Oplus(T_a), V_b), V_d))) | ~hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(T_a), V_c), V_d)) | ~hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(T_a), V_a), V_b)) )).
% 12.66/12.90 cnf(matrix-411, plain, ( ~class_Lattices_Olattice(T_a) | ( hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(T_a), V_x), hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(T_a), V_x), V_y)) = V_x) )).
% 12.66/12.90 cnf(matrix-412, plain, ( ~class_Lattices_Olower__semilattice(T_a) | hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(T_a), hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(T_a), V_a), V_b)), V_x)) | ~hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(T_a), V_b), V_x)) )).
% 12.66/12.90 cnf(matrix-413, plain, ( ~class_Lattices_Olower__semilattice(T_a) | hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(T_a), hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(T_a), V_a), V_b)), V_x)) | ~hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(T_a), V_a), V_x)) )).
% 12.66/12.90 cnf(matrix-414, plain, ( hBOOL(hAPP(hAPP(c_lessequals(tc_fun(T_a, tc_bool)), V_A), V_B)) | ~hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(tc_fun(T_a, tc_bool)), V_A), V_B)) )).
% 12.66/12.90 cnf(matrix-415, plain, ( ~class_HOL_Oord(T_b) | hBOOL(hAPP(hAPP(c_lessequals(tc_fun(T_a, T_b)), V_f), V_g)) | ~hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(tc_fun(T_a, T_b)), V_f), V_g)) )).
% 12.66/12.90 cnf(matrix-416, plain, ( ~class_Orderings_Oorder(T_a) | hBOOL(hAPP(hAPP(c_lessequals(T_a), V_x), V_y)) | ~hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(T_a), V_x), V_y)) )).
% 12.66/12.90 cnf(matrix-417, plain, ( ~class_Orderings_Opreorder(T_a) | hBOOL(hAPP(hAPP(c_lessequals(T_a), V_x), V_y)) | ~hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(T_a), V_x), V_y)) )).
% 12.66/12.90 cnf(matrix-418, plain, ( ~class_Lattices_Oupper__semilattice(T_a) | ( hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(T_a), V_x), V_y) = V_x) | ~hBOOL(hAPP(hAPP(c_lessequals(T_a), V_y), V_x)) )).
% 12.66/12.90 cnf(matrix-419, plain, ( ~class_Lattices_Oupper__semilattice(T_a) | ( hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(T_a), V_x), V_y) != V_y) | hBOOL(hAPP(hAPP(c_lessequals(T_a), V_x), V_y)) )).
% 12.66/12.90 cnf(matrix-420, plain, ( ~class_Lattices_Oupper__semilattice(T_a) | ( hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(T_a), V_x), V_y) = V_y) | ~hBOOL(hAPP(hAPP(c_lessequals(T_a), V_x), V_y)) )).
% 12.66/12.90 cnf(matrix-421, plain, ( ( hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(T_a, tc_bool)), V_A), V_B) = V_B) | ~hBOOL(hAPP(hAPP(c_lessequals(tc_fun(T_a, tc_bool)), V_A), V_B)) )).
% 12.66/12.90 cnf(matrix-422, plain, ( ( hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(T_a, tc_bool)), V_A), V_B) = V_A) | ~hBOOL(hAPP(hAPP(c_lessequals(tc_fun(T_a, tc_bool)), V_B), V_A)) )).
% 12.66/12.90 cnf(matrix-423, plain, ( ( hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(T_a, tc_bool)), V_A), V_B) != V_B) | hBOOL(hAPP(hAPP(c_lessequals(tc_fun(T_a, tc_bool)), V_A), V_B)) )).
% 12.66/12.90 cnf(matrix-424, plain, ( ( hAPP(V_m_092_060_094isub_0621, c_Map_Osko__Map__Xmap__le__def__1__1(V_m_092_060_094isub_0621, V_m_092_060_094isub_0622, T_a, T_b)) != hAPP(V_m_092_060_094isub_0622, c_Map_Osko__Map__Xmap__le__def__1__1(V_m_092_060_094isub_0621, V_m_092_060_094isub_0622, T_a, T_b))) | c_Map_Omap__le(V_m_092_060_094isub_0621, V_m_092_060_094isub_0622, T_a, T_b) )).
% 12.66/12.90 cnf(matrix-425, plain, ( ( c_Option_Ooption_Ooption__case(V_f1, V_f2, c_Option_Ooption_ONone(T_b), T_a, T_b) = V_f1) )).
% 12.66/12.90 cnf(matrix-426, plain, ( ~class_OrderedGroup_Opordered__ab__group__add(T_a) | hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(T_a), V_a), V_b)) | ~hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(T_a), c_HOL_Ominus__class_Ominus(V_a, V_b, T_a)), c_HOL_Ozero__class_Ozero(T_a))) )).
% 12.66/12.90 cnf(matrix-427, plain, ( ~class_OrderedGroup_Opordered__ab__group__add(T_a) | hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(T_a), c_HOL_Ominus__class_Ominus(V_a, V_b, T_a)), c_HOL_Ozero__class_Ozero(T_a))) | ~hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(T_a), V_a), V_b)) )).
% 12.66/12.90 cnf(matrix-428, plain, ( ~class_OrderedGroup_Oab__group__add(T_b) | ( c_Finite__Set_Osetsum(V_f, hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(T_a, tc_bool)), V_A), V_B), T_a, T_b) = c_HOL_Ominus__class_Ominus(hAPP(hAPP(c_HOL_Oplus__class_Oplus(T_b), c_Finite__Set_Osetsum(V_f, V_A, T_a, T_b)), c_Finite__Set_Osetsum(V_f, V_B, T_a, T_b)), c_Finite__Set_Osetsum(V_f, hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(T_a, tc_bool)), V_A), V_B), T_a, T_b), T_b)) | ~c_Finite__Set_Ofinite(V_B, T_a) | ~c_Finite__Set_Ofinite(V_A, T_a) )).
% 12.66/12.90 cnf(matrix-429, plain, ( hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(tc_nat), V_n), c_Suc(V_n))) )).
% 12.66/12.90 cnf(matrix-430, plain, ( hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(tc_nat), V_x), c_Suc(V_x))) )).
% 12.66/12.90 cnf(matrix-431, plain, ( hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(tc_nat), c_Suc(V_i)), V_k)) | ~hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(tc_nat), V_j), V_k)) | ~hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(tc_nat), V_i), V_j)) )).
% 12.66/12.90 cnf(matrix-432, plain, ( ~class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(T_a) | hBOOL(hAPP(hAPP(c_lessequals(T_a), hAPP(hAPP(c_HOL_Oplus__class_Oplus(T_a), V_a), V_c)), hAPP(hAPP(c_HOL_Oplus__class_Oplus(T_a), V_b), V_c))) | ~hBOOL(hAPP(hAPP(c_lessequals(T_a), V_a), V_b)) )).
% 12.66/12.90 cnf(matrix-433, plain, ( ~class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(T_a) | hBOOL(hAPP(hAPP(c_lessequals(T_a), V_a), V_b)) | ~hBOOL(hAPP(hAPP(c_lessequals(T_a), hAPP(hAPP(c_HOL_Oplus__class_Oplus(T_a), V_a), V_c)), hAPP(hAPP(c_HOL_Oplus__class_Oplus(T_a), V_b), V_c))) )).
% 12.66/12.90 cnf(matrix-434, plain, ( ~class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(T_a) | hBOOL(hAPP(hAPP(c_lessequals(T_a), hAPP(hAPP(c_HOL_Oplus__class_Oplus(T_a), V_c), V_a)), hAPP(hAPP(c_HOL_Oplus__class_Oplus(T_a), V_c), V_b))) | ~hBOOL(hAPP(hAPP(c_lessequals(T_a), V_a), V_b)) )).
% 12.66/12.90 cnf(matrix-435, plain, ( ~class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(T_a) | hBOOL(hAPP(hAPP(c_lessequals(T_a), V_a), V_b)) | ~hBOOL(hAPP(hAPP(c_lessequals(T_a), hAPP(hAPP(c_HOL_Oplus__class_Oplus(T_a), V_c), V_a)), hAPP(hAPP(c_HOL_Oplus__class_Oplus(T_a), V_c), V_b))) )).
% 12.66/12.90 cnf(matrix-436, plain, ( ~class_OrderedGroup_Opordered__ab__semigroup__add(T_a) | hBOOL(hAPP(hAPP(c_lessequals(T_a), hAPP(hAPP(c_HOL_Oplus__class_Oplus(T_a), V_a), V_c)), hAPP(hAPP(c_HOL_Oplus__class_Oplus(T_a), V_b), V_c))) | ~hBOOL(hAPP(hAPP(c_lessequals(T_a), V_a), V_b)) )).
% 12.66/12.90 cnf(matrix-437, plain, ( ~class_OrderedGroup_Opordered__ab__semigroup__add(T_a) | hBOOL(hAPP(hAPP(c_lessequals(T_a), hAPP(hAPP(c_HOL_Oplus__class_Oplus(T_a), V_c), V_a)), hAPP(hAPP(c_HOL_Oplus__class_Oplus(T_a), V_c), V_b))) | ~hBOOL(hAPP(hAPP(c_lessequals(T_a), V_a), V_b)) )).
% 12.66/12.90 cnf(matrix-438, plain, ( ~hBOOL(hAPP(hAPP(V_less, V_x), V_y)) | ~hBOOL(hAPP(hAPP(V_less, V_y), V_x)) | ~c_Orderings_Olinorder(V_less__eq, V_less, T_a) )).
% 12.66/12.90 cnf(matrix-439, plain, ( ~hBOOL(hAPP(hAPP(V_less, V_x), V_y)) | ~hBOOL(hAPP(hAPP(V_less__eq, V_y), V_x)) | ~c_Orderings_Olinorder(V_less__eq, V_less, T_a) )).
% 12.66/12.90 cnf(matrix-440, plain, ( hBOOL(hAPP(hAPP(V_less__eq, V_y), V_x)) | hBOOL(hAPP(hAPP(V_less, V_x), V_y)) | ~c_Orderings_Olinorder(V_less__eq, V_less, T_a) )).
% 12.66/12.90 cnf(matrix-441, plain, ( hBOOL(hAPP(hAPP(V_less__eq, V_y), V_x)) | hBOOL(hAPP(hAPP(V_less__eq, V_x), V_y)) | ~c_Orderings_Olinorder(V_less__eq, V_less, T_a) )).
% 12.66/12.90 cnf(matrix-442, plain, ( hBOOL(hAPP(hAPP(V_less, V_y), V_x)) | hBOOL(hAPP(hAPP(V_less__eq, V_x), V_y)) | ~c_Orderings_Olinorder(V_less__eq, V_less, T_a) )).
% 12.66/12.90 cnf(matrix-443, plain, ( ~hBOOL(hAPP(hAPP(V_less__eq, V_x), V_y)) | ~hBOOL(hAPP(hAPP(V_less, V_y), V_x)) | ~c_Orderings_Olinorder(V_less__eq, V_less, T_a) )).
% 12.66/12.90 cnf(matrix-444, plain, ( hBOOL(hAPP(hAPP(V_less, V_x), V_y)) | hBOOL(hAPP(hAPP(V_less__eq, V_y), V_x)) | ~c_Orderings_Olinorder(V_less__eq, V_less, T_a) )).
% 12.66/12.90 cnf(matrix-445, plain, ( hBOOL(hAPP(hAPP(V_less, V_x), V_x)) | ~c_Orderings_Olinorder(V_less__eq, V_less, T_a) | hBOOL(hAPP(hAPP(V_less__eq, V_x), V_x)) )).
% 12.66/12.90 cnf(matrix-446, plain, ( ~hBOOL(hAPP(hAPP(V_less__eq, V_x), V_x)) | ~c_Orderings_Olinorder(V_less__eq, V_less, T_a) | ~hBOOL(hAPP(hAPP(V_less, V_x), V_x)) )).
% 12.66/12.90 cnf(matrix-447, plain, ( ( c_Fun_Ofun__upd(V_f, V_x, hAPP(V_f, V_x), T_b, T_a) = V_f) )).
% 12.66/12.90 cnf(matrix-448, plain, ( ( hAPP(c_Fun_Ofun__upd(V_f, V_x, V_y, T_b, T_a), V_x) = V_y) )).
% 12.66/12.90 cnf(matrix-449, plain, ( ( c_Fun_Ofun__upd(V_f, V_x, hAPP(V_f, V_x), T_a, T_b) = V_f) )).
% 12.66/12.90 cnf(matrix-450, plain, ( ( hAPP(c_Fun_Ofun__upd(V_f, V_x, V_y, T_a, T_aa), V_x) = V_y) )).
% 12.66/12.90 cnf(matrix-451, plain, ( ( c_Fun_Ofun__upd(V_f, V_x, hAPP(V_f, V_x), T_aa, T_a) = V_f) )).
% 12.66/12.90 cnf(matrix-452, plain, ( c_OrderedGroup_Oab__semigroup__idem__mult(V_inf, T_a) | ~c_Lattices_Olower__semilattice(V_less__eq, V_less, V_inf, T_a) )).
% 12.66/12.90 cnf(matrix-453, plain, ( hBOOL(hAPP(hAPP(V_less, hAPP(hAPP(V_inf, V_a), V_b)), V_x)) | ~hBOOL(hAPP(hAPP(V_less, V_b), V_x)) | ~c_Lattices_Olower__semilattice(V_less__eq, V_less, V_inf, T_a) )).
% 12.66/12.90 cnf(matrix-454, plain, ( hBOOL(hAPP(hAPP(V_less, hAPP(hAPP(V_inf, V_a), V_b)), V_x)) | ~hBOOL(hAPP(hAPP(V_less, V_a), V_x)) | ~c_Lattices_Olower__semilattice(V_less__eq, V_less, V_inf, T_a) )).
% 12.66/12.90 cnf(matrix-455, plain, ( hBOOL(hAPP(hAPP(V_less__eq, V_x), V_z)) | ~hBOOL(hAPP(hAPP(V_less__eq, V_x), hAPP(hAPP(V_inf, V_y), V_z))) | ~c_Lattices_Olower__semilattice(V_less__eq, V_less, V_inf, T_a) )).
% 12.66/12.90 cnf(matrix-456, plain, ( hBOOL(hAPP(hAPP(V_less__eq, V_x), V_y)) | ~hBOOL(hAPP(hAPP(V_less__eq, V_x), hAPP(hAPP(V_inf, V_y), V_z))) | ~c_Lattices_Olower__semilattice(V_less__eq, V_less, V_inf, T_a) )).
% 12.66/12.90 cnf(matrix-457, plain, ( hBOOL(hAPP(hAPP(V_less__eq, V_x), V_a)) | ~hBOOL(hAPP(hAPP(V_less__eq, V_x), hAPP(hAPP(V_inf, V_a), V_b))) | ~c_Lattices_Olower__semilattice(V_less__eq, V_less, V_inf, T_a) )).
% 12.66/12.90 cnf(matrix-458, plain, ( hBOOL(hAPP(hAPP(V_less__eq, V_x), V_b)) | ~hBOOL(hAPP(hAPP(V_less__eq, V_x), hAPP(hAPP(V_inf, V_a), V_b))) | ~c_Lattices_Olower__semilattice(V_less__eq, V_less, V_inf, T_a) )).
% 12.66/12.90 cnf(matrix-459, plain, ( hBOOL(hAPP(hAPP(V_less__eq, hAPP(hAPP(V_inf, V_a), V_b)), V_x)) | ~hBOOL(hAPP(hAPP(V_less__eq, V_a), V_x)) | ~c_Lattices_Olower__semilattice(V_less__eq, V_less, V_inf, T_a) )).
% 12.66/12.90 cnf(matrix-460, plain, ( hBOOL(hAPP(hAPP(V_less__eq, hAPP(hAPP(V_inf, V_a), V_b)), V_x)) | ~hBOOL(hAPP(hAPP(V_less__eq, V_b), V_x)) | ~c_Lattices_Olower__semilattice(V_less__eq, V_less, V_inf, T_a) )).
% 12.66/12.90 cnf(matrix-461, plain, ( ~class_Orderings_Olinorder(T_a) | c_Lattices_Olower__semilattice(c_COMBC(c_lessequals(T_a), T_a, T_a, tc_bool), c_COMBC(c_HOL_Oord__class_Oless(T_a), T_a, T_a, tc_bool), c_Orderings_Oord__class_Omax(T_a), T_a) )).
% 12.66/12.90 cnf(matrix-462, plain, ( ~class_OrderedGroup_Oab__semigroup__idem__mult(T_a) | ( hAPP(hAPP(c_HOL_Otimes__class_Otimes(T_a), V_x), hAPP(hAPP(c_HOL_Otimes__class_Otimes(T_a), V_x), V_y)) = hAPP(hAPP(c_HOL_Otimes__class_Otimes(T_a), V_x), V_y)) )).
% 12.66/12.90 cnf(matrix-463, plain, ( ~class_Ring__and__Field_Oordered__semiring__strict(T_a) | hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(T_a), hAPP(hAPP(c_HOL_Otimes__class_Otimes(T_a), V_a), V_c)), hAPP(hAPP(c_HOL_Otimes__class_Otimes(T_a), V_b), V_d))) | ~hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(T_a), c_HOL_Ozero__class_Ozero(T_a)), V_c)) | ~hBOOL(hAPP(hAPP(c_lessequals(T_a), c_HOL_Ozero__class_Ozero(T_a)), V_a)) | ~hBOOL(hAPP(hAPP(c_lessequals(T_a), V_c), V_d)) | ~hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(T_a), V_a), V_b)) )).
% 12.66/12.90 cnf(matrix-464, plain, ( ~class_Ring__and__Field_Oordered__semiring__strict(T_a) | hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(T_a), hAPP(hAPP(c_HOL_Otimes__class_Otimes(T_a), V_a), V_c)), hAPP(hAPP(c_HOL_Otimes__class_Otimes(T_a), V_b), V_d))) | ~hBOOL(hAPP(hAPP(c_lessequals(T_a), c_HOL_Ozero__class_Ozero(T_a)), V_c)) | ~hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(T_a), c_HOL_Ozero__class_Ozero(T_a)), V_a)) | ~hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(T_a), V_c), V_d)) | ~hBOOL(hAPP(hAPP(c_lessequals(T_a), V_a), V_b)) )).
% 12.66/12.90 cnf(matrix-465, plain, ( hBOOL(hAPP(hAPP(c_lessequals(tc_fun(T_a, tc_bool)), hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(T_a, tc_bool)), V_A), V_B)), hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(T_a, tc_bool)), V_C), V_D))) | ~hBOOL(hAPP(hAPP(c_lessequals(tc_fun(T_a, tc_bool)), V_B), V_D)) | ~hBOOL(hAPP(hAPP(c_lessequals(tc_fun(T_a, tc_bool)), V_A), V_C)) )).
% 12.66/12.90 cnf(matrix-466, plain, ( ~class_Lattices_Olattice(T_a) | hBOOL(hAPP(hAPP(c_lessequals(T_a), hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(T_a), V_x), V_y)), V_x)) )).
% 12.66/12.90 cnf(matrix-467, plain, ( ~class_Lattices_Olattice(T_a) | hBOOL(hAPP(hAPP(c_lessequals(T_a), hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(T_a), V_x), V_y)), V_y)) )).
% 12.66/12.90 cnf(matrix-468, plain, ( ~class_Lattices_Olower__semilattice(T_a) | hBOOL(hAPP(hAPP(c_lessequals(T_a), V_x), hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(T_a), V_y), V_z))) | ~hBOOL(hAPP(hAPP(c_lessequals(T_a), V_x), V_z)) | ~hBOOL(hAPP(hAPP(c_lessequals(T_a), V_x), V_y)) )).
% 12.66/12.90 cnf(matrix-469, plain, ( ~class_Lattices_Olower__semilattice(T_a) | hBOOL(hAPP(hAPP(c_lessequals(T_a), V_x), hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(T_a), V_y), V_z))) | ~hBOOL(hAPP(hAPP(c_lessequals(T_a), V_x), V_z)) | ~hBOOL(hAPP(hAPP(c_lessequals(T_a), V_x), V_y)) )).
% 12.66/12.90 cnf(matrix-470, plain, ( ~class_Lattices_Olower__semilattice(T_a) | hBOOL(hAPP(hAPP(c_lessequals(T_a), V_x), hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(T_a), V_a), V_b))) | ~hBOOL(hAPP(hAPP(c_lessequals(T_a), V_x), V_b)) | ~hBOOL(hAPP(hAPP(c_lessequals(T_a), V_x), V_a)) )).
% 12.66/12.90 cnf(matrix-471, plain, ( ~class_Lattices_Olower__semilattice(T_a) | hBOOL(hAPP(hAPP(c_lessequals(T_a), hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(T_a), V_x), V_y)), V_y)) )).
% 12.66/12.90 cnf(matrix-472, plain, ( ~class_Lattices_Olower__semilattice(T_a) | hBOOL(hAPP(hAPP(c_lessequals(T_a), hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(T_a), V_x), V_y)), V_x)) )).
% 12.66/12.90 cnf(matrix-473, plain, ( hBOOL(hAPP(hAPP(c_lessequals(tc_fun(T_a, tc_bool)), hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(T_a, tc_bool)), V_A), V_B)), V_A)) )).
% 12.66/12.90 cnf(matrix-474, plain, ( hBOOL(hAPP(hAPP(c_lessequals(tc_fun(T_a, tc_bool)), hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(T_a, tc_bool)), V_A), V_B)), V_B)) )).
% 12.66/12.90 cnf(matrix-475, plain, ( hBOOL(hAPP(hAPP(c_lessequals(tc_fun(T_a, tc_bool)), V_C), hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(T_a, tc_bool)), V_A), V_B))) | ~hBOOL(hAPP(hAPP(c_lessequals(tc_fun(T_a, tc_bool)), V_C), V_B)) | ~hBOOL(hAPP(hAPP(c_lessequals(tc_fun(T_a, tc_bool)), V_C), V_A)) )).
% 12.66/12.90 cnf(matrix-476, plain, ( hBOOL(hAPP(hAPP(c_lessequals(tc_fun(T_a, tc_bool)), V_C), hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(T_a, tc_bool)), V_A), V_B))) | ~hBOOL(hAPP(hAPP(c_lessequals(tc_fun(T_a, tc_bool)), V_C), V_B)) | ~hBOOL(hAPP(hAPP(c_lessequals(tc_fun(T_a, tc_bool)), V_C), V_A)) )).
% 12.66/12.90 cnf(matrix-477, plain, ( ~class_Ring__and__Field_Oordered__ring__strict(T_a) | hBOOL(hAPP(hAPP(c_lessequals(T_a), c_HOL_Ozero__class_Ozero(T_a)), V_b)) | hBOOL(hAPP(hAPP(c_lessequals(T_a), V_b), c_HOL_Ozero__class_Ozero(T_a))) | ~hBOOL(hAPP(hAPP(c_lessequals(T_a), hAPP(hAPP(c_HOL_Otimes__class_Otimes(T_a), V_a), V_b)), c_HOL_Ozero__class_Ozero(T_a))) )).
% 12.66/12.90 cnf(matrix-478, plain, ( ~class_Ring__and__Field_Oordered__ring__strict(T_a) | hBOOL(hAPP(hAPP(c_lessequals(T_a), V_a), c_HOL_Ozero__class_Ozero(T_a))) | hBOOL(hAPP(hAPP(c_lessequals(T_a), V_b), c_HOL_Ozero__class_Ozero(T_a))) | ~hBOOL(hAPP(hAPP(c_lessequals(T_a), hAPP(hAPP(c_HOL_Otimes__class_Otimes(T_a), V_a), V_b)), c_HOL_Ozero__class_Ozero(T_a))) )).
% 12.66/12.90 cnf(matrix-479, plain, ( ~class_Ring__and__Field_Oordered__ring__strict(T_a) | hBOOL(hAPP(hAPP(c_lessequals(T_a), c_HOL_Ozero__class_Ozero(T_a)), V_b)) | hBOOL(hAPP(hAPP(c_lessequals(T_a), c_HOL_Ozero__class_Ozero(T_a)), V_a)) | ~hBOOL(hAPP(hAPP(c_lessequals(T_a), hAPP(hAPP(c_HOL_Otimes__class_Otimes(T_a), V_a), V_b)), c_HOL_Ozero__class_Ozero(T_a))) )).
% 12.66/12.90 cnf(matrix-480, plain, ( ~class_Ring__and__Field_Oordered__ring__strict(T_a) | hBOOL(hAPP(hAPP(c_lessequals(T_a), V_a), c_HOL_Ozero__class_Ozero(T_a))) | hBOOL(hAPP(hAPP(c_lessequals(T_a), c_HOL_Ozero__class_Ozero(T_a)), V_a)) | ~hBOOL(hAPP(hAPP(c_lessequals(T_a), hAPP(hAPP(c_HOL_Otimes__class_Otimes(T_a), V_a), V_b)), c_HOL_Ozero__class_Ozero(T_a))) )).
% 12.66/12.90 cnf(matrix-481, plain, ( ~class_Ring__and__Field_Oordered__semiring__strict(T_a) | hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(T_a), hAPP(hAPP(c_HOL_Otimes__class_Otimes(T_a), V_b), V_a)), c_HOL_Ozero__class_Ozero(T_a))) | ~hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(T_a), V_b), c_HOL_Ozero__class_Ozero(T_a))) | ~hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(T_a), c_HOL_Ozero__class_Ozero(T_a)), V_a)) )).
% 12.66/12.90 cnf(matrix-482, plain, ( ~class_Ring__and__Field_Oordered__semiring__strict(T_a) | hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(T_a), hAPP(hAPP(c_HOL_Otimes__class_Otimes(T_a), V_a), V_b)), c_HOL_Ozero__class_Ozero(T_a))) | ~hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(T_a), V_b), c_HOL_Ozero__class_Ozero(T_a))) | ~hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(T_a), c_HOL_Ozero__class_Ozero(T_a)), V_a)) )).
% 12.66/12.90 cnf(matrix-483, plain, ( ~class_Ring__and__Field_Oordered__semiring__strict(T_a) | hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(T_a), hAPP(hAPP(c_HOL_Otimes__class_Otimes(T_a), V_a), V_b)), c_HOL_Ozero__class_Ozero(T_a))) | ~hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(T_a), c_HOL_Ozero__class_Ozero(T_a)), V_b)) | ~hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(T_a), V_a), c_HOL_Ozero__class_Ozero(T_a))) )).
% 12.66/12.90 cnf(matrix-484, plain, ( ~class_Lattices_Odistrib__lattice(T_a) | ( hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(T_a), hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(T_a), V_y), V_z)), V_x) = hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(T_a), hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(T_a), V_y), V_x)), hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(T_a), V_z), V_x))) )).
% 12.66/12.90 cnf(matrix-485, plain, ( ~class_Lattices_Odistrib__lattice(T_a) | ( hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(T_a), V_x), hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(T_a), V_y), V_z)) = hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(T_a), hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(T_a), V_x), V_y)), hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(T_a), V_x), V_z))) )).
% 12.66/12.90 cnf(matrix-486, plain, ( ( hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(T_a, tc_bool)), V_A), hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(T_a, tc_bool)), V_B), V_C)) = hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(T_a, tc_bool)), hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(T_a, tc_bool)), V_A), V_B)), hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(T_a, tc_bool)), V_A), V_C))) )).
% 12.66/12.90 cnf(matrix-487, plain, ( ( hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(T_a, tc_bool)), hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(T_a, tc_bool)), V_B), V_C)), V_A) = hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(T_a, tc_bool)), hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(T_a, tc_bool)), V_B), V_A)), hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(T_a, tc_bool)), V_C), V_A))) )).
% 12.66/12.90 cnf(matrix-488, plain, ( ~class_Ring__and__Field_Oordered__semidom(T_a) | hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(T_a), V_b), hAPP(hAPP(c_HOL_Oplus__class_Oplus(T_a), V_a), V_c))) | ~hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(T_a), V_b), V_c)) | ~hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(T_a), c_HOL_Ozero__class_Ozero(T_a)), V_a)) )).
% 12.66/12.90 cnf(matrix-489, plain, ( ~class_Lattices_Olattice(T_a) | ( hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(T_a), V_x), hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(T_a), V_x), V_y)) = hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(T_a), V_x), V_y)) )).
% 12.66/12.90 cnf(matrix-490, plain, ( ~class_Lattices_Olower__semilattice(T_a) | ( hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(T_a), V_x), hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(T_a), V_x), V_y)) = hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(T_a), V_x), V_y)) )).
% 12.66/12.90 cnf(matrix-491, plain, ( ( hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(T_a, tc_bool)), V_A), hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(T_a, tc_bool)), V_A), V_B)) = hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(T_a, tc_bool)), V_A), V_B)) )).
% 12.66/12.90 cnf(matrix-492, plain, ( ~class_OrderedGroup_Olordered__ab__group__add(T_a) | hBOOL(hAPP(hAPP(c_lessequals(T_a), hAPP(hAPP(c_HOL_Oplus__class_Oplus(T_a), V_a), V_a)), c_HOL_Ozero__class_Ozero(T_a))) | ~hBOOL(hAPP(hAPP(c_lessequals(T_a), V_a), c_HOL_Ozero__class_Ozero(T_a))) )).
% 12.66/12.90 cnf(matrix-493, plain, ( ~class_OrderedGroup_Olordered__ab__group__add(T_a) | hBOOL(hAPP(hAPP(c_lessequals(T_a), V_a), c_HOL_Ozero__class_Ozero(T_a))) | ~hBOOL(hAPP(hAPP(c_lessequals(T_a), hAPP(hAPP(c_HOL_Oplus__class_Oplus(T_a), V_a), V_a)), c_HOL_Ozero__class_Ozero(T_a))) )).
% 12.66/12.90 cnf(matrix-494, plain, ( ~class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(T_a) | ~class_OrderedGroup_Ocomm__monoid__add(T_a) | hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(T_a), V_b), hAPP(hAPP(c_HOL_Oplus__class_Oplus(T_a), V_a), V_c))) | ~hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(T_a), V_b), V_c)) | ~hBOOL(hAPP(hAPP(c_lessequals(T_a), c_HOL_Ozero__class_Ozero(T_a)), V_a)) )).
% 12.66/12.90 cnf(matrix-495, plain, ( ~class_Orderings_Olinorder(T_a) | ( hAPP(hAPP(c_Orderings_Oord__class_Omin(T_a), V_x), hAPP(hAPP(c_Orderings_Oord__class_Omax(T_a), V_x), V_y)) = V_x) )).
% 12.66/12.90 cnf(matrix-496, plain, ( ~hBOOL(hAPP(hAPP(V_less, V_x), V_x)) | ~c_Orderings_Olinorder(V_less__eq, V_less, T_a) )).
% 12.66/12.90 cnf(matrix-497, plain, ( ~c_Orderings_Olinorder(V_less__eq, V_less, T_a) | ~hBOOL(hAPP(hAPP(V_less, V_x), V_x)) )).
% 12.66/12.90 cnf(matrix-498, plain, ( ~class_Orderings_Olinorder(T_a) | hBOOL(hAPP(hAPP(c_lessequals(tc_fun(T_a, tc_bool)), c_SetInterval_Oord__class_OlessThan(V_x, T_a)), c_SetInterval_Oord__class_OlessThan(V_y, T_a))) | ~hBOOL(hAPP(hAPP(c_lessequals(T_a), V_x), V_y)) )).
% 12.66/12.90 cnf(matrix-499, plain, ( ~class_Orderings_Olinorder(T_a) | hBOOL(hAPP(hAPP(c_lessequals(T_a), V_x), V_y)) | ~hBOOL(hAPP(hAPP(c_lessequals(tc_fun(T_a, tc_bool)), c_SetInterval_Oord__class_OlessThan(V_x, T_a)), c_SetInterval_Oord__class_OlessThan(V_y, T_a))) )).
% 12.66/12.90 cnf(matrix-500, plain, ( ~class_Ring__and__Field_Oordered__ring__strict(T_a) | hBOOL(hAPP(hAPP(c_lessequals(T_a), V_b), V_a)) | ~hBOOL(hAPP(hAPP(c_lessequals(T_a), hAPP(hAPP(c_HOL_Otimes__class_Otimes(T_a), V_c), V_a)), hAPP(hAPP(c_HOL_Otimes__class_Otimes(T_a), V_c), V_b))) | ~hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(T_a), V_c), c_HOL_Ozero__class_Ozero(T_a))) )).
% 12.66/12.90 cnf(matrix-501, plain, ( ~class_Ring__and__Field_Oordered__ring__strict(T_a) | hBOOL(hAPP(hAPP(c_lessequals(T_a), hAPP(hAPP(c_HOL_Otimes__class_Otimes(T_a), V_c), V_a)), hAPP(hAPP(c_HOL_Otimes__class_Otimes(T_a), V_c), V_b))) | ~hBOOL(hAPP(hAPP(c_lessequals(T_a), V_b), V_a)) | ~hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(T_a), V_c), c_HOL_Ozero__class_Ozero(T_a))) )).
% 12.66/12.90 cnf(matrix-502, plain, ( ~class_Ring__and__Field_Oordered__ring__strict(T_a) | hBOOL(hAPP(hAPP(c_lessequals(T_a), V_a), V_b)) | ~hBOOL(hAPP(hAPP(c_lessequals(T_a), hAPP(hAPP(c_HOL_Otimes__class_Otimes(T_a), V_c), V_a)), hAPP(hAPP(c_HOL_Otimes__class_Otimes(T_a), V_c), V_b))) | ~hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(T_a), c_HOL_Ozero__class_Ozero(T_a)), V_c)) )).
% 12.66/12.90 cnf(matrix-503, plain, ( ~class_Ring__and__Field_Oordered__ring__strict(T_a) | hBOOL(hAPP(hAPP(c_lessequals(T_a), hAPP(hAPP(c_HOL_Otimes__class_Otimes(T_a), V_c), V_a)), hAPP(hAPP(c_HOL_Otimes__class_Otimes(T_a), V_c), V_b))) | ~hBOOL(hAPP(hAPP(c_lessequals(T_a), V_a), V_b)) | ~hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(T_a), c_HOL_Ozero__class_Ozero(T_a)), V_c)) )).
% 12.66/12.90 cnf(matrix-504, plain, ( ~class_Ring__and__Field_Oordered__semiring__strict(T_a) | hBOOL(hAPP(hAPP(c_lessequals(T_a), V_a), V_b)) | ~hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(T_a), c_HOL_Ozero__class_Ozero(T_a)), V_c)) | ~hBOOL(hAPP(hAPP(c_lessequals(T_a), hAPP(hAPP(c_HOL_Otimes__class_Otimes(T_a), V_c), V_a)), hAPP(hAPP(c_HOL_Otimes__class_Otimes(T_a), V_c), V_b))) )).
% 12.66/12.90 cnf(matrix-505, plain, ( ~class_Ring__and__Field_Oordered__semiring__strict(T_a) | hBOOL(hAPP(hAPP(c_lessequals(T_a), V_a), V_b)) | ~hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(T_a), c_HOL_Ozero__class_Ozero(T_a)), V_c)) | ~hBOOL(hAPP(hAPP(c_lessequals(T_a), hAPP(hAPP(c_HOL_Otimes__class_Otimes(T_a), V_a), V_c)), hAPP(hAPP(c_HOL_Otimes__class_Otimes(T_a), V_b), V_c))) )).
% 12.66/12.90 cnf(matrix-506, plain, ( hBOOL(hAPP(hAPP(V_less__eq, V_x), hAPP(hAPP(V_inf, V_a), V_b))) | ~hBOOL(hAPP(hAPP(V_less__eq, V_x), V_b)) | ~hBOOL(hAPP(hAPP(V_less__eq, V_x), V_a)) | ~c_Lattices_Olower__semilattice(V_less__eq, V_less, V_inf, T_a) )).
% 12.66/12.90 cnf(matrix-507, plain, ( hBOOL(hAPP(hAPP(V_less__eq, hAPP(hAPP(V_inf, V_x), V_y)), V_y)) | ~c_Lattices_Olower__semilattice(V_less__eq, V_less, V_inf, T_a) )).
% 12.66/12.90 cnf(matrix-508, plain, ( hBOOL(hAPP(hAPP(V_less__eq, hAPP(hAPP(V_inf, V_x), V_y)), V_x)) | ~c_Lattices_Olower__semilattice(V_less__eq, V_less, V_inf, T_a) )).
% 12.66/12.90 cnf(matrix-509, plain, ( hBOOL(hAPP(hAPP(V_less__eq, V_x), hAPP(hAPP(V_inf, V_y), V_z))) | ~hBOOL(hAPP(hAPP(V_less__eq, V_x), V_z)) | ~hBOOL(hAPP(hAPP(V_less__eq, V_x), V_y)) | ~c_Lattices_Olower__semilattice(V_less__eq, V_less, V_inf, T_a) )).
% 12.66/12.90 cnf(matrix-510, plain, ( hBOOL(hAPP(hAPP(V_less__eq, V_x), hAPP(hAPP(V_inf, V_y), V_z))) | ~hBOOL(hAPP(hAPP(V_less__eq, V_x), V_z)) | ~hBOOL(hAPP(hAPP(V_less__eq, V_x), V_y)) | ~c_Lattices_Olower__semilattice(V_less__eq, V_less, V_inf, T_a) )).
% 12.66/12.90 cnf(matrix-511, plain, ( ( hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(T_a, tc_bool)), V_A), V_B) = V_A) | ~hBOOL(hAPP(hAPP(c_lessequals(tc_fun(T_a, tc_bool)), V_A), V_B)) )).
% 12.66/12.90 cnf(matrix-512, plain, ( ( hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(T_a, tc_bool)), V_A), V_B) = V_B) | ~hBOOL(hAPP(hAPP(c_lessequals(tc_fun(T_a, tc_bool)), V_B), V_A)) )).
% 12.66/12.90 cnf(matrix-513, plain, ( ~class_Lattices_Olower__semilattice(T_a) | ( hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(T_a), V_x), V_y) = V_x) | ~hBOOL(hAPP(hAPP(c_lessequals(T_a), V_x), V_y)) )).
% 12.66/12.90 cnf(matrix-514, plain, ( ~class_Lattices_Olower__semilattice(T_a) | ( hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(T_a), V_x), V_y) != V_x) | hBOOL(hAPP(hAPP(c_lessequals(T_a), V_x), V_y)) )).
% 12.66/12.90 cnf(matrix-515, plain, ( ~class_Lattices_Olower__semilattice(T_a) | ( hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(T_a), V_x), V_y) = V_y) | ~hBOOL(hAPP(hAPP(c_lessequals(T_a), V_y), V_x)) )).
% 12.66/12.90 cnf(matrix-516, plain, ( hBOOL(hAPP(hAPP(c_lessequals(tc_fun(T_a, tc_bool)), hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(T_a, tc_bool)), V_A), V_B)), V_C)) | ~hBOOL(hAPP(hAPP(c_lessequals(tc_fun(T_a, tc_bool)), V_B), V_C)) | ~hBOOL(hAPP(hAPP(c_lessequals(tc_fun(T_a, tc_bool)), V_A), V_C)) )).
% 12.66/12.90 cnf(matrix-517, plain, ( hBOOL(hAPP(hAPP(c_lessequals(tc_fun(T_a, tc_bool)), V_B), hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(T_a, tc_bool)), V_A), V_B))) )).
% 12.66/12.90 cnf(matrix-518, plain, ( hBOOL(hAPP(hAPP(c_lessequals(tc_fun(T_a, tc_bool)), V_A), hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(T_a, tc_bool)), V_A), V_B))) )).
% 12.66/12.90 cnf(matrix-519, plain, ( hBOOL(hAPP(hAPP(c_lessequals(tc_fun(T_a, tc_bool)), hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(T_a, tc_bool)), V_A), V_B)), V_C)) | ~hBOOL(hAPP(hAPP(c_lessequals(tc_fun(T_a, tc_bool)), V_B), V_C)) | ~hBOOL(hAPP(hAPP(c_lessequals(tc_fun(T_a, tc_bool)), V_A), V_C)) )).
% 12.66/12.90 cnf(matrix-520, plain, ( ~class_Lattices_Oupper__semilattice(T_a) | hBOOL(hAPP(hAPP(c_lessequals(T_a), hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(T_a), V_a), V_b)), V_x)) | ~hBOOL(hAPP(hAPP(c_lessequals(T_a), V_b), V_x)) | ~hBOOL(hAPP(hAPP(c_lessequals(T_a), V_a), V_x)) )).
% 12.66/12.90 cnf(matrix-521, plain, ( ~class_Lattices_Oupper__semilattice(T_a) | hBOOL(hAPP(hAPP(c_lessequals(T_a), V_x), hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(T_a), V_x), V_y))) )).
% 12.66/12.90 cnf(matrix-522, plain, ( ~class_Lattices_Oupper__semilattice(T_a) | hBOOL(hAPP(hAPP(c_lessequals(T_a), V_y), hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(T_a), V_x), V_y))) )).
% 12.66/12.90 cnf(matrix-523, plain, ( ~class_Lattices_Oupper__semilattice(T_a) | hBOOL(hAPP(hAPP(c_lessequals(T_a), hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(T_a), V_y), V_z)), V_x)) | ~hBOOL(hAPP(hAPP(c_lessequals(T_a), V_z), V_x)) | ~hBOOL(hAPP(hAPP(c_lessequals(T_a), V_y), V_x)) )).
% 12.66/12.90 cnf(matrix-524, plain, ( ~class_Lattices_Oupper__semilattice(T_a) | hBOOL(hAPP(hAPP(c_lessequals(T_a), hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(T_a), V_x), V_y)), V_z)) | ~hBOOL(hAPP(hAPP(c_lessequals(T_a), V_y), V_z)) | ~hBOOL(hAPP(hAPP(c_lessequals(T_a), V_x), V_z)) )).
% 12.66/12.90 cnf(matrix-525, plain, ( ~class_Lattices_Olattice(T_a) | hBOOL(hAPP(hAPP(c_lessequals(T_a), V_y), hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(T_a), V_x), V_y))) )).
% 12.66/12.90 cnf(matrix-526, plain, ( ~class_Lattices_Olattice(T_a) | hBOOL(hAPP(hAPP(c_lessequals(T_a), V_x), hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(T_a), V_x), V_y))) )).
% 12.66/12.90 cnf(matrix-527, plain, ( ~class_Orderings_Olinorder(T_a) | hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(T_a), V_x), hAPP(hAPP(c_Orderings_Oord__class_Omax(T_a), V_a), V_b))) | ~hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(T_a), V_x), V_a)) )).
% 12.66/12.90 cnf(matrix-528, plain, ( ~class_Orderings_Olinorder(T_a) | hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(T_a), V_x), hAPP(hAPP(c_Orderings_Oord__class_Omax(T_a), V_a), V_b))) | ~hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(T_a), V_x), V_b)) )).
% 12.66/12.90 cnf(matrix-529, plain, ( ~class_Orderings_Olinorder(T_a) | hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(T_a), V_z), hAPP(hAPP(c_Orderings_Oord__class_Omax(T_a), V_x), V_y))) | ~hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(T_a), V_z), V_x)) )).
% 12.66/12.90 cnf(matrix-530, plain, ( ~class_Orderings_Olinorder(T_a) | hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(T_a), V_z), hAPP(hAPP(c_Orderings_Oord__class_Omax(T_a), V_x), V_y))) | ~hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(T_a), V_z), V_y)) )).
% 12.66/12.90 cnf(matrix-531, plain, ( ~class_Orderings_Olinorder(T_a) | hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(T_a), V_x), V_z)) | ~hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(T_a), hAPP(hAPP(c_Orderings_Oord__class_Omax(T_a), V_x), V_y)), V_z)) )).
% 12.66/12.90 cnf(matrix-532, plain, ( ~class_Orderings_Olinorder(T_a) | hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(T_a), V_y), V_z)) | ~hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(T_a), hAPP(hAPP(c_Orderings_Oord__class_Omax(T_a), V_x), V_y)), V_z)) )).
% 12.66/12.90 cnf(matrix-533, plain, ( ( hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(T_a, tc_bool)), V_A), V_B) = hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(T_a, tc_bool)), V_B), V_A)) )).
% 12.66/12.90 cnf(matrix-534, plain, ( ~class_Lattices_Olower__semilattice(T_a) | ( hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(T_a), V_x), V_y) = hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(T_a), V_y), V_x)) )).
% 12.66/12.90 cnf(matrix-535, plain, ( ~class_Lattices_Olattice(T_a) | ( hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(T_a), V_x), V_y) = hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(T_a), V_y), V_x)) )).
% 12.66/12.90 cnf(matrix-536, plain, ( c_Complete__Lattice_Ocomplete__lattice(V_Sup, V_Inf, c_COMBC(V_less__eq, T_a, T_a, tc_bool), c_COMBC(V_less, T_a, T_a, tc_bool), V_sup, V_inf, V_top, V_bot, T_a) | ~c_Complete__Lattice_Ocomplete__lattice(V_Inf, V_Sup, V_less__eq, V_less, V_inf, V_sup, V_bot, V_top, T_a) )).
% 12.66/12.90 cnf(matrix-537, plain, ( ~class_Orderings_Olinorder(T_a) | ( hAPP(hAPP(c_Orderings_Oord__class_Omin(T_a), V_x), V_y) = hAPP(hAPP(c_Orderings_Oord__class_Omin(T_a), V_y), V_x)) )).
% 12.66/12.90 cnf(matrix-538, plain, ( ~class_Orderings_Olinorder(T_a) | ( c_SetInterval_Oord__class_OlessThan(V_x, T_a) != c_SetInterval_Oord__class_OlessThan(V_y, T_a)) | ( V_x = V_y) )).
% 12.66/12.90 cnf(matrix-539, plain, ( ~class_Ring__and__Field_Osemiring(T_a) | ( hAPP(hAPP(c_HOL_Oplus__class_Oplus(T_a), hAPP(hAPP(c_HOL_Otimes__class_Otimes(T_a), V_a), V_e)), hAPP(hAPP(c_HOL_Oplus__class_Oplus(T_a), hAPP(hAPP(c_HOL_Otimes__class_Otimes(T_a), V_b), V_e)), V_c)) = hAPP(hAPP(c_HOL_Oplus__class_Oplus(T_a), hAPP(hAPP(c_HOL_Otimes__class_Otimes(T_a), hAPP(hAPP(c_HOL_Oplus__class_Oplus(T_a), V_a), V_b)), V_e)), V_c)) )).
% 12.66/12.90 cnf(matrix-540, plain, ( ~class_Lattices_Olattice(T_a) | hBOOL(hAPP(hAPP(c_lessequals(T_a), hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(T_a), hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(T_a), V_x), V_y)), hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(T_a), V_x), V_z))), hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(T_a), V_x), hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(T_a), V_y), V_z)))) )).
% 12.66/12.90 cnf(matrix-541, plain, ( hBOOL(hAPP(hAPP(c_lessequals(tc_fun(T_a, tc_bool)), c_HOL_Ominus__class_Ominus(V_A, V_B, tc_fun(T_a, tc_bool))), V_A)) )).
% 12.66/12.90 cnf(matrix-542, plain, ( ( hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(T_a, tc_bool)), hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(T_a, tc_bool)), hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(T_a, tc_bool)), V_A), V_B)), hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(T_a, tc_bool)), V_B), V_C))), hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(T_a, tc_bool)), V_C), V_A)) = hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(T_a, tc_bool)), hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(T_a, tc_bool)), hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(T_a, tc_bool)), V_A), V_B)), hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(T_a, tc_bool)), V_B), V_C))), hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(T_a, tc_bool)), V_C), V_A))) )).
% 12.66/12.90 cnf(matrix-543, plain, ( ~class_OrderedGroup_Opordered__comm__monoid__add(T_a) | hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(T_a), hAPP(hAPP(c_HOL_Oplus__class_Oplus(T_a), V_a), V_b)), c_HOL_Ozero__class_Ozero(T_a))) | ~hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(T_a), V_b), c_HOL_Ozero__class_Ozero(T_a))) | ~hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(T_a), V_a), c_HOL_Ozero__class_Ozero(T_a))) )).
% 12.66/12.90 cnf(matrix-544, plain, ( ~class_Ring__and__Field_Oidom(T_a) | ~class_Int_Onumber__ring(T_a) | ( c_HOL_Ominus__class_Ominus(V_x, V_y, T_a) != c_HOL_Ozero__class_Ozero(T_a)) | ( V_x = V_y) )).
% 12.66/12.90 cnf(matrix-545, plain, ( ~class_OrderedGroup_Ogroup__add(T_a) | ( c_HOL_Ominus__class_Ominus(V_a, V_b, T_a) != c_HOL_Ozero__class_Ozero(T_a)) | ( V_a = V_b) )).
% 12.66/12.90 cnf(matrix-546, plain, ( ~class_OrderedGroup_Oab__group__add(T_a) | ( c_HOL_Ominus__class_Ominus(V_a, V_b, T_a) != c_HOL_Ozero__class_Ozero(T_a)) | ( V_a = V_b) )).
% 12.66/12.90 cnf(matrix-547, plain, ( ~class_Ring__and__Field_Oordered__ring__strict(T_a) | ( V_x = c_HOL_Ozero__class_Ozero(T_a)) | ~hBOOL(hAPP(hAPP(c_lessequals(T_a), hAPP(hAPP(c_HOL_Oplus__class_Oplus(T_a), hAPP(hAPP(c_HOL_Otimes__class_Otimes(T_a), V_x), V_x)), hAPP(hAPP(c_HOL_Otimes__class_Otimes(T_a), V_y), V_y))), c_HOL_Ozero__class_Ozero(T_a))) )).
% 12.66/12.90 cnf(matrix-548, plain, ( ~class_Ring__and__Field_Oordered__ring__strict(T_a) | ( V_y = c_HOL_Ozero__class_Ozero(T_a)) | ~hBOOL(hAPP(hAPP(c_lessequals(T_a), hAPP(hAPP(c_HOL_Oplus__class_Oplus(T_a), hAPP(hAPP(c_HOL_Otimes__class_Otimes(T_a), V_x), V_x)), hAPP(hAPP(c_HOL_Otimes__class_Otimes(T_a), V_y), V_y))), c_HOL_Ozero__class_Ozero(T_a))) )).
% 12.66/12.90 cnf(matrix-549, plain, ( ( c_Fun_Ofun__upd(c_Map_Orestrict__map(V_m, V_D, T_a, T_b), V_x, c_Option_Ooption_ONone(T_b), T_a, tc_Option_Ooption(T_b)) = c_Map_Orestrict__map(V_m, V_D, T_a, T_b)) | hBOOL(hAPP(hAPP(c_in(T_a), V_x), V_D)) )).
% 12.66/12.90 cnf(matrix-550, plain, ( ~class_Orderings_Olinorder(T_a) | hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(T_a), hAPP(hAPP(c_Orderings_Oord__class_Omin(T_a), V_a), V_b)), V_x)) | ~hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(T_a), V_a), V_x)) )).
% 12.66/12.90 cnf(matrix-551, plain, ( ~class_Orderings_Olinorder(T_a) | hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(T_a), hAPP(hAPP(c_Orderings_Oord__class_Omin(T_a), V_a), V_b)), V_x)) | ~hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(T_a), V_b), V_x)) )).
% 12.66/12.90 cnf(matrix-552, plain, ( ~class_Orderings_Olinorder(T_a) | hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(T_a), V_z), V_x)) | ~hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(T_a), V_z), hAPP(hAPP(c_Orderings_Oord__class_Omin(T_a), V_x), V_y))) )).
% 12.66/12.90 cnf(matrix-553, plain, ( ~class_Orderings_Olinorder(T_a) | hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(T_a), V_z), V_y)) | ~hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(T_a), V_z), hAPP(hAPP(c_Orderings_Oord__class_Omin(T_a), V_x), V_y))) )).
% 12.66/12.90 cnf(matrix-554, plain, ( ~class_Orderings_Olinorder(T_a) | hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(T_a), hAPP(hAPP(c_Orderings_Oord__class_Omin(T_a), V_x), V_y)), V_z)) | ~hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(T_a), V_x), V_z)) )).
% 12.66/12.90 cnf(matrix-555, plain, ( ~class_Orderings_Olinorder(T_a) | hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(T_a), hAPP(hAPP(c_Orderings_Oord__class_Omin(T_a), V_x), V_y)), V_z)) | ~hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(T_a), V_y), V_z)) )).
% 12.66/12.90 cnf(matrix-556, plain, ( ~class_Orderings_Olinorder(T_a) | ( hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(T_a, tc_bool)), c_SetInterval_Oord__class_OatLeastAtMost(V_a, V_b, T_a)), c_SetInterval_Oord__class_OatLeastAtMost(V_c, V_d, T_a)) = c_SetInterval_Oord__class_OatLeastAtMost(hAPP(hAPP(c_Orderings_Oord__class_Omax(T_a), V_a), V_c), hAPP(hAPP(c_Orderings_Oord__class_Omin(T_a), V_b), V_d), T_a)) )).
% 12.66/12.90 cnf(matrix-557, plain, ( ~class_OrderedGroup_Opordered__comm__monoid__add(T_a) | hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(T_a), c_HOL_Ozero__class_Ozero(T_a)), hAPP(hAPP(c_HOL_Oplus__class_Oplus(T_a), V_a), V_b))) | ~hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(T_a), c_HOL_Ozero__class_Ozero(T_a)), V_b)) | ~hBOOL(hAPP(hAPP(c_lessequals(T_a), c_HOL_Ozero__class_Ozero(T_a)), V_a)) )).
% 12.66/12.90 cnf(matrix-558, plain, ( ~class_OrderedGroup_Opordered__comm__monoid__add(T_a) | hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(T_a), c_HOL_Ozero__class_Ozero(T_a)), hAPP(hAPP(c_HOL_Oplus__class_Oplus(T_a), V_a), V_b))) | ~hBOOL(hAPP(hAPP(c_lessequals(T_a), c_HOL_Ozero__class_Ozero(T_a)), V_b)) | ~hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(T_a), c_HOL_Ozero__class_Ozero(T_a)), V_a)) )).
% 12.66/12.90 cnf(matrix-559, plain, ( ( c_Finite__Set_Ofold(V_f, V_z, V_A, T_a, T_b) = V_y) | ~hBOOL(hAPP(c_Finite__Set_Ofold__graph(V_f, V_z, V_A, T_a, T_b), V_y)) | ~c_Finite__Set_Ofun__left__comm(V_f, T_a, T_b) )).
% 12.66/12.90 cnf(matrix-560, plain, ( ~class_Ring__and__Field_Oordered__ring__strict(T_a) | hBOOL(hAPP(hAPP(c_lessequals(T_a), hAPP(hAPP(c_HOL_Otimes__class_Otimes(T_a), V_a), V_b)), c_HOL_Ozero__class_Ozero(T_a))) | ~hBOOL(hAPP(hAPP(c_lessequals(T_a), V_b), c_HOL_Ozero__class_Ozero(T_a))) | ~hBOOL(hAPP(hAPP(c_lessequals(T_a), c_HOL_Ozero__class_Ozero(T_a)), V_a)) )).
% 12.66/12.90 cnf(matrix-561, plain, ( ~class_Ring__and__Field_Oordered__ring__strict(T_a) | hBOOL(hAPP(hAPP(c_lessequals(T_a), hAPP(hAPP(c_HOL_Otimes__class_Otimes(T_a), V_a), V_b)), c_HOL_Ozero__class_Ozero(T_a))) | ~hBOOL(hAPP(hAPP(c_lessequals(T_a), c_HOL_Ozero__class_Ozero(T_a)), V_b)) | ~hBOOL(hAPP(hAPP(c_lessequals(T_a), V_a), c_HOL_Ozero__class_Ozero(T_a))) )).
% 12.66/12.90 cnf(matrix-562, plain, ( ~class_Ring__and__Field_Opordered__cancel__semiring(T_a) | hBOOL(hAPP(hAPP(c_lessequals(T_a), hAPP(hAPP(c_HOL_Otimes__class_Otimes(T_a), V_a), V_b)), c_HOL_Ozero__class_Ozero(T_a))) | ~hBOOL(hAPP(hAPP(c_lessequals(T_a), V_b), c_HOL_Ozero__class_Ozero(T_a))) | ~hBOOL(hAPP(hAPP(c_lessequals(T_a), c_HOL_Ozero__class_Ozero(T_a)), V_a)) )).
% 12.66/12.90 cnf(matrix-563, plain, ( ~class_Ring__and__Field_Opordered__cancel__semiring(T_a) | hBOOL(hAPP(hAPP(c_lessequals(T_a), hAPP(hAPP(c_HOL_Otimes__class_Otimes(T_a), V_a), V_b)), c_HOL_Ozero__class_Ozero(T_a))) | ~hBOOL(hAPP(hAPP(c_lessequals(T_a), c_HOL_Ozero__class_Ozero(T_a)), V_b)) | ~hBOOL(hAPP(hAPP(c_lessequals(T_a), V_a), c_HOL_Ozero__class_Ozero(T_a))) )).
% 12.66/12.90 cnf(matrix-564, plain, ( ~class_Ring__and__Field_Opordered__cancel__semiring(T_a) | hBOOL(hAPP(hAPP(c_lessequals(T_a), hAPP(hAPP(c_HOL_Otimes__class_Otimes(T_a), V_a), V_b)), c_HOL_Ozero__class_Ozero(T_a))) | ~hBOOL(hAPP(hAPP(c_lessequals(T_a), V_b), c_HOL_Ozero__class_Ozero(T_a))) | ~hBOOL(hAPP(hAPP(c_lessequals(T_a), c_HOL_Ozero__class_Ozero(T_a)), V_a)) )).
% 12.66/12.90 cnf(matrix-565, plain, ( ~class_Ring__and__Field_Opordered__cancel__semiring(T_a) | hBOOL(hAPP(hAPP(c_lessequals(T_a), hAPP(hAPP(c_HOL_Otimes__class_Otimes(T_a), V_a), V_b)), c_HOL_Ozero__class_Ozero(T_a))) | ~hBOOL(hAPP(hAPP(c_lessequals(T_a), c_HOL_Ozero__class_Ozero(T_a)), V_b)) | ~hBOOL(hAPP(hAPP(c_lessequals(T_a), V_a), c_HOL_Ozero__class_Ozero(T_a))) )).
% 12.66/12.90 cnf(matrix-566, plain, ( ~class_Ring__and__Field_Opordered__cancel__semiring(T_a) | hBOOL(hAPP(hAPP(c_lessequals(T_a), hAPP(hAPP(c_HOL_Otimes__class_Otimes(T_a), V_b), V_a)), c_HOL_Ozero__class_Ozero(T_a))) | ~hBOOL(hAPP(hAPP(c_lessequals(T_a), V_b), c_HOL_Ozero__class_Ozero(T_a))) | ~hBOOL(hAPP(hAPP(c_lessequals(T_a), c_HOL_Ozero__class_Ozero(T_a)), V_a)) )).
% 12.66/12.90 cnf(matrix-567, plain, ( ~class_Ring__and__Field_Oordered__ring__strict(T_a) | ~hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(T_a), hAPP(hAPP(c_HOL_Otimes__class_Otimes(T_a), V_a), V_a)), c_HOL_Ozero__class_Ozero(T_a))) )).
% 12.66/12.90 cnf(matrix-568, plain, ( hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(tc_nat), c_Suc(V_m)), V_n)) | ( c_Suc(V_m) = V_n) | ~hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(tc_nat), V_m), V_n)) )).
% 12.66/12.90 cnf(matrix-569, plain, ( ~class_Ring__and__Field_Oidom(T_a) | ~class_Int_Onumber__ring(T_a) | ( hAPP(hAPP(c_HOL_Oplus__class_Oplus(T_a), V_x), V_y) != hAPP(hAPP(c_HOL_Oplus__class_Oplus(T_a), V_x), V_z)) | ( V_y = V_z) )).
% 12.66/12.90 cnf(matrix-570, plain, ( ~class_OrderedGroup_Ocancel__ab__semigroup__add(T_a) | ( hAPP(hAPP(c_HOL_Oplus__class_Oplus(T_a), V_a), V_b) != hAPP(hAPP(c_HOL_Oplus__class_Oplus(T_a), V_a), V_c)) | ( V_b = V_c) )).
% 12.66/12.90 cnf(matrix-571, plain, ( ~class_OrderedGroup_Ocancel__semigroup__add(T_a) | ( hAPP(hAPP(c_HOL_Oplus__class_Oplus(T_a), V_a), V_b) != hAPP(hAPP(c_HOL_Oplus__class_Oplus(T_a), V_a), V_c)) | ( V_b = V_c) )).
% 12.66/12.90 cnf(matrix-572, plain, ( ~class_OrderedGroup_Ocancel__semigroup__add(T_a) | ( hAPP(hAPP(c_HOL_Oplus__class_Oplus(T_a), V_b), V_a) != hAPP(hAPP(c_HOL_Oplus__class_Oplus(T_a), V_c), V_a)) | ( V_b = V_c) )).
% 12.66/12.90 cnf(matrix-573, plain, ( hBOOL(hAPP(hAPP(c_lessequals(tc_fun(T_b, tc_bool)), c_Set_Ovimage(V_f, V_A, T_b, T_a)), c_Set_Ovimage(V_f, V_B, T_b, T_a))) | ~hBOOL(hAPP(hAPP(c_lessequals(tc_fun(T_a, tc_bool)), V_A), V_B)) )).
% 12.66/12.90 cnf(matrix-574, plain, ( ~class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(T_a) | ( hAPP(hAPP(c_HOL_Oplus__class_Oplus(T_a), hAPP(hAPP(c_Orderings_Oord__class_Omin(T_a), V_x), V_y)), V_z) = hAPP(hAPP(c_Orderings_Oord__class_Omin(T_a), hAPP(hAPP(c_HOL_Oplus__class_Oplus(T_a), V_x), V_z)), hAPP(hAPP(c_HOL_Oplus__class_Oplus(T_a), V_y), V_z))) )).
% 12.66/12.90 cnf(matrix-575, plain, ( ~class_Lattices_Oupper__semilattice(T_a) | c_Lattices_Olower__semilattice(c_COMBC(c_lessequals(T_a), T_a, T_a, tc_bool), c_COMBC(c_HOL_Oord__class_Oless(T_a), T_a, T_a, tc_bool), c_Lattices_Oupper__semilattice__class_Osup(T_a), T_a) )).
% 12.66/12.90 cnf(matrix-576, plain, ( hBOOL(hAPP(hAPP(c_lessequals(tc_fun(T_a, tc_bool)), V_C), V_B)) | ~hBOOL(hAPP(hAPP(c_lessequals(tc_fun(T_a, tc_bool)), V_C), hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(T_a, tc_bool)), V_A), V_B))) )).
% 12.66/12.90 cnf(matrix-577, plain, ( hBOOL(hAPP(hAPP(c_lessequals(tc_fun(T_a, tc_bool)), V_C), V_A)) | ~hBOOL(hAPP(hAPP(c_lessequals(tc_fun(T_a, tc_bool)), V_C), hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(T_a, tc_bool)), V_A), V_B))) )).
% 12.66/12.90 cnf(matrix-578, plain, ( ~class_Lattices_Olower__semilattice(T_a) | hBOOL(hAPP(hAPP(c_lessequals(T_a), V_x), V_a)) | ~hBOOL(hAPP(hAPP(c_lessequals(T_a), V_x), hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(T_a), V_a), V_b))) )).
% 12.66/12.90 cnf(matrix-579, plain, ( ~class_Lattices_Olower__semilattice(T_a) | hBOOL(hAPP(hAPP(c_lessequals(T_a), V_x), V_b)) | ~hBOOL(hAPP(hAPP(c_lessequals(T_a), V_x), hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(T_a), V_a), V_b))) )).
% 12.66/12.90 cnf(matrix-580, plain, ( ~class_Lattices_Olower__semilattice(T_a) | hBOOL(hAPP(hAPP(c_lessequals(T_a), hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(T_a), V_a), V_b)), V_x)) | ~hBOOL(hAPP(hAPP(c_lessequals(T_a), V_a), V_x)) )).
% 12.66/12.90 cnf(matrix-581, plain, ( ~class_Lattices_Olower__semilattice(T_a) | hBOOL(hAPP(hAPP(c_lessequals(T_a), hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(T_a), V_a), V_b)), V_x)) | ~hBOOL(hAPP(hAPP(c_lessequals(T_a), V_b), V_x)) )).
% 12.66/12.90 cnf(matrix-582, plain, ( ~class_Lattices_Olower__semilattice(T_a) | hBOOL(hAPP(hAPP(c_lessequals(T_a), V_x), V_y)) | ~hBOOL(hAPP(hAPP(c_lessequals(T_a), V_x), hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(T_a), V_y), V_z))) )).
% 12.66/12.90 cnf(matrix-583, plain, ( ~class_Lattices_Olower__semilattice(T_a) | hBOOL(hAPP(hAPP(c_lessequals(T_a), V_x), V_z)) | ~hBOOL(hAPP(hAPP(c_lessequals(T_a), V_x), hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(T_a), V_y), V_z))) )).
% 12.66/12.90 cnf(matrix-584, plain, ( ~class_Lattices_Olower__semilattice(T_a) | hBOOL(hAPP(hAPP(c_lessequals(T_a), c_Finite__Set_Ofold(c_Lattices_Olower__semilattice__class_Oinf(T_a), V_b, V_A, T_a, T_a)), hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(T_a), V_a), V_b))) | ~hBOOL(hAPP(hAPP(c_in(T_a), V_a), V_A)) | ~c_Finite__Set_Ofinite(V_A, T_a) )).
% 12.66/12.90 cnf(matrix-585, plain, ( ~class_Ring__and__Field_Oordered__ring__strict(T_a) | hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(T_a), c_HOL_Ozero__class_Ozero(T_a)), hAPP(hAPP(c_HOL_Oplus__class_Oplus(T_a), hAPP(hAPP(c_HOL_Otimes__class_Otimes(T_a), V_x), V_x)), hAPP(hAPP(c_HOL_Otimes__class_Otimes(T_a), V_y), V_y)))) | ( V_x = c_HOL_Ozero__class_Ozero(T_a)) )).
% 12.66/12.90 cnf(matrix-586, plain, ( ~class_Ring__and__Field_Oordered__ring__strict(T_a) | hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(T_a), c_HOL_Ozero__class_Ozero(T_a)), hAPP(hAPP(c_HOL_Oplus__class_Oplus(T_a), hAPP(hAPP(c_HOL_Otimes__class_Otimes(T_a), V_x), V_x)), hAPP(hAPP(c_HOL_Otimes__class_Otimes(T_a), V_y), V_y)))) | ( V_y = c_HOL_Ozero__class_Ozero(T_a)) )).
% 12.66/12.90 cnf(matrix-587, plain, ( ~class_Ring__and__Field_Ocomm__semiring__1(T_a) | ( hAPP(hAPP(c_HOL_Oplus__class_Oplus(T_a), hAPP(hAPP(c_HOL_Oplus__class_Oplus(T_a), V_a), V_b)), hAPP(hAPP(c_HOL_Oplus__class_Oplus(T_a), V_c), V_d)) = hAPP(hAPP(c_HOL_Oplus__class_Oplus(T_a), hAPP(hAPP(c_HOL_Oplus__class_Oplus(T_a), V_a), V_c)), hAPP(hAPP(c_HOL_Oplus__class_Oplus(T_a), V_b), V_d))) )).
% 12.66/12.90 cnf(matrix-588, plain, ( ~class_Ring__and__Field_Ono__zero__divisors(T_b) | ~class_Ring__and__Field_Ocomm__semiring__1(T_b) | ( hAPP(V_f, V_x) != c_HOL_Ozero__class_Ozero(T_b)) | ~hBOOL(hAPP(hAPP(c_in(T_a), V_x), V_A)) | ~c_Finite__Set_Ofinite(V_A, T_a) | ( c_Finite__Set_Osetprod(V_f, V_A, T_a, T_b) = c_HOL_Ozero__class_Ozero(T_b)) )).
% 12.66/12.90 cnf(matrix-589, plain, ( ~class_Ring__and__Field_Ocomm__semiring__1(T_b) | ( hAPP(V_f, V_x) != c_HOL_Ozero__class_Ozero(T_b)) | ~hBOOL(hAPP(hAPP(c_in(T_a), V_x), V_A)) | ~c_Finite__Set_Ofinite(V_A, T_a) | ( c_Finite__Set_Osetprod(V_f, V_A, T_a, T_b) = c_HOL_Ozero__class_Ozero(T_b)) )).
% 12.66/12.90 cnf(matrix-590, plain, ( ~class_Orderings_Olinorder(T_a) | ( hAPP(hAPP(c_Orderings_Oord__class_Omax(T_a), V_x), V_y) = hAPP(hAPP(c_Orderings_Oord__class_Omax(T_a), V_y), V_x)) )).
% 12.66/12.90 cnf(matrix-591, plain, ( ~class_Orderings_Oorder(T_a) | hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(T_a), V_b), V_d)) | hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(T_a), V_c), V_a)) | ~hBOOL(hAPP(hAPP(c_lessequals(T_a), V_a), V_b)) | ~hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(tc_fun(T_a, tc_bool)), c_SetInterval_Oord__class_OatLeastAtMost(V_a, V_b, T_a)), c_SetInterval_Oord__class_OatLeastAtMost(V_c, V_d, T_a))) )).
% 12.66/12.90 cnf(matrix-592, plain, ( ~class_Orderings_Olinorder(T_a) | hBOOL(hAPP(hAPP(c_lessequals(T_a), hAPP(hAPP(c_Orderings_Oord__class_Omax(T_a), hAPP(hAPP(c_Orderings_Oord__class_Omin(T_a), V_x), V_y)), hAPP(hAPP(c_Orderings_Oord__class_Omin(T_a), V_x), V_z))), hAPP(hAPP(c_Orderings_Oord__class_Omin(T_a), V_x), hAPP(hAPP(c_Orderings_Oord__class_Omax(T_a), V_y), V_z)))) )).
% 12.66/12.90 cnf(matrix-593, plain, ( ~class_Orderings_Olinorder(T_a) | ( hAPP(hAPP(c_Orderings_Oord__class_Omax(T_a), V_x), hAPP(hAPP(c_Orderings_Oord__class_Omin(T_a), V_x), V_y)) = V_x) )).
% 12.66/12.90 cnf(matrix-594, plain, ( ~class_Ring__and__Field_Opordered__ring(T_a) | hBOOL(hAPP(hAPP(c_lessequals(T_a), hAPP(hAPP(c_HOL_Otimes__class_Otimes(T_a), V_a), V_c)), hAPP(hAPP(c_HOL_Otimes__class_Otimes(T_a), V_b), V_c))) | ~hBOOL(hAPP(hAPP(c_lessequals(T_a), V_c), c_HOL_Ozero__class_Ozero(T_a))) | ~hBOOL(hAPP(hAPP(c_lessequals(T_a), V_b), V_a)) )).
% 12.66/12.90 cnf(matrix-595, plain, ( ~class_Ring__and__Field_Opordered__ring(T_a) | hBOOL(hAPP(hAPP(c_lessequals(T_a), hAPP(hAPP(c_HOL_Otimes__class_Otimes(T_a), V_c), V_a)), hAPP(hAPP(c_HOL_Otimes__class_Otimes(T_a), V_c), V_b))) | ~hBOOL(hAPP(hAPP(c_lessequals(T_a), V_c), c_HOL_Ozero__class_Ozero(T_a))) | ~hBOOL(hAPP(hAPP(c_lessequals(T_a), V_b), V_a)) )).
% 12.66/12.90 cnf(matrix-596, plain, ( ~class_Ring__and__Field_Omult__mono(T_a) | hBOOL(hAPP(hAPP(c_lessequals(T_a), hAPP(hAPP(c_HOL_Otimes__class_Otimes(T_a), V_a), V_c)), hAPP(hAPP(c_HOL_Otimes__class_Otimes(T_a), V_b), V_c))) | ~hBOOL(hAPP(hAPP(c_lessequals(T_a), c_HOL_Ozero__class_Ozero(T_a)), V_c)) | ~hBOOL(hAPP(hAPP(c_lessequals(T_a), V_a), V_b)) )).
% 12.66/12.90 cnf(matrix-597, plain, ( ~class_Ring__and__Field_Omult__mono(T_a) | hBOOL(hAPP(hAPP(c_lessequals(T_a), hAPP(hAPP(c_HOL_Otimes__class_Otimes(T_a), V_c), V_a)), hAPP(hAPP(c_HOL_Otimes__class_Otimes(T_a), V_c), V_b))) | ~hBOOL(hAPP(hAPP(c_lessequals(T_a), c_HOL_Ozero__class_Ozero(T_a)), V_c)) | ~hBOOL(hAPP(hAPP(c_lessequals(T_a), V_a), V_b)) )).
% 12.66/12.90 cnf(matrix-598, plain, ( ~class_Ring__and__Field_Omult__mono1(T_a) | hBOOL(hAPP(hAPP(c_lessequals(T_a), hAPP(hAPP(c_HOL_Otimes__class_Otimes(T_a), V_c), V_a)), hAPP(hAPP(c_HOL_Otimes__class_Otimes(T_a), V_c), V_b))) | ~hBOOL(hAPP(hAPP(c_lessequals(T_a), c_HOL_Ozero__class_Ozero(T_a)), V_c)) | ~hBOOL(hAPP(hAPP(c_lessequals(T_a), V_a), V_b)) )).
% 12.66/12.90 cnf(matrix-599, plain, ( ~class_Ring__and__Field_Oidom(T_a) | ~class_Int_Onumber__ring(T_a) | ( hAPP(hAPP(c_HOL_Oplus__class_Oplus(T_a), V_x), hAPP(hAPP(c_HOL_Otimes__class_Otimes(T_a), V_r), V_c)) != hAPP(hAPP(c_HOL_Oplus__class_Oplus(T_a), V_x), hAPP(hAPP(c_HOL_Otimes__class_Otimes(T_a), V_r), V_d))) | ( V_c = V_d) | ( V_r = c_HOL_Ozero__class_Ozero(T_a)) )).
% 12.66/12.90 cnf(matrix-600, plain, ( ~class_Ring__and__Field_Oordered__ring__strict(T_a) | ( hAPP(hAPP(c_HOL_Oplus__class_Oplus(T_a), hAPP(hAPP(c_HOL_Otimes__class_Otimes(T_a), V_x), V_x)), hAPP(hAPP(c_HOL_Otimes__class_Otimes(T_a), V_y), V_y)) != c_HOL_Ozero__class_Ozero(T_a)) | ( V_y = c_HOL_Ozero__class_Ozero(T_a)) )).
% 12.66/12.90 cnf(matrix-601, plain, ( ~class_Ring__and__Field_Oordered__ring__strict(T_a) | ( hAPP(hAPP(c_HOL_Oplus__class_Oplus(T_a), hAPP(hAPP(c_HOL_Otimes__class_Otimes(T_a), V_x), V_x)), hAPP(hAPP(c_HOL_Otimes__class_Otimes(T_a), V_y), V_y)) != c_HOL_Ozero__class_Ozero(T_a)) | ( V_x = c_HOL_Ozero__class_Ozero(T_a)) )).
% 12.66/12.90 cnf(matrix-602, plain, ( ( c_Suc(V_n) != V_n) )).
% 12.66/12.90 cnf(matrix-603, plain, ( ( V_n != c_Suc(V_n)) )).
% 12.66/12.90 cnf(matrix-604, plain, ( ~class_Complete__Lattice_Ocomplete__lattice(T_a) | ( hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(T_a), V_B), c_Complete__Lattice_OSup__class_OSup(V_A, T_a)) = c_Finite__Set_Ofold(c_Lattices_Oupper__semilattice__class_Osup(T_a), V_B, V_A, T_a, T_a)) | ~c_Finite__Set_Ofinite(V_A, T_a) )).
% 12.66/12.90 cnf(matrix-605, plain, ( ~class_Lattices_Olower__semilattice(T_a) | ( hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(T_a), V_x), V_x) = V_x) )).
% 12.66/12.90 cnf(matrix-606, plain, ( ( hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(T_a, tc_bool)), V_A), V_A) = V_A) )).
% 12.66/12.90 cnf(matrix-607, plain, ( ~class_Lattices_Oupper__semilattice(T_a) | hBOOL(hAPP(hAPP(c_lessequals(T_a), V_y), V_z)) | ~hBOOL(hAPP(hAPP(c_lessequals(T_a), hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(T_a), V_x), V_y)), V_z)) )).
% 12.66/12.90 cnf(matrix-608, plain, ( ~class_Lattices_Oupper__semilattice(T_a) | hBOOL(hAPP(hAPP(c_lessequals(T_a), V_x), V_z)) | ~hBOOL(hAPP(hAPP(c_lessequals(T_a), hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(T_a), V_x), V_y)), V_z)) )).
% 12.66/12.90 cnf(matrix-609, plain, ( ~class_Lattices_Oupper__semilattice(T_a) | hBOOL(hAPP(hAPP(c_lessequals(T_a), V_x), hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(T_a), V_a), V_b))) | ~hBOOL(hAPP(hAPP(c_lessequals(T_a), V_x), V_b)) )).
% 12.66/12.90 cnf(matrix-610, plain, ( ~class_Lattices_Oupper__semilattice(T_a) | hBOOL(hAPP(hAPP(c_lessequals(T_a), V_x), hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(T_a), V_a), V_b))) | ~hBOOL(hAPP(hAPP(c_lessequals(T_a), V_x), V_a)) )).
% 12.66/12.90 cnf(matrix-611, plain, ( ~class_Lattices_Oupper__semilattice(T_a) | hBOOL(hAPP(hAPP(c_lessequals(T_a), V_b), V_x)) | ~hBOOL(hAPP(hAPP(c_lessequals(T_a), hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(T_a), V_a), V_b)), V_x)) )).
% 12.66/12.90 cnf(matrix-612, plain, ( ~class_Lattices_Oupper__semilattice(T_a) | hBOOL(hAPP(hAPP(c_lessequals(T_a), V_a), V_x)) | ~hBOOL(hAPP(hAPP(c_lessequals(T_a), hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(T_a), V_a), V_b)), V_x)) )).
% 12.66/12.90 cnf(matrix-613, plain, ( hBOOL(hAPP(hAPP(c_lessequals(tc_fun(T_a, tc_bool)), V_A), V_C)) | ~hBOOL(hAPP(hAPP(c_lessequals(tc_fun(T_a, tc_bool)), hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(T_a, tc_bool)), V_A), V_B)), V_C)) )).
% 12.66/12.90 cnf(matrix-614, plain, ( hBOOL(hAPP(hAPP(c_lessequals(tc_fun(T_a, tc_bool)), V_B), V_C)) | ~hBOOL(hAPP(hAPP(c_lessequals(tc_fun(T_a, tc_bool)), hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(T_a, tc_bool)), V_A), V_B)), V_C)) )).
% 12.66/12.90 cnf(matrix-615, plain, ( ~class_OrderedGroup_Opordered__cancel__ab__semigroup__add(T_a) | hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(T_a), hAPP(hAPP(c_HOL_Oplus__class_Oplus(T_a), V_a), V_c)), hAPP(hAPP(c_HOL_Oplus__class_Oplus(T_a), V_b), V_c))) | ~hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(T_a), V_a), V_b)) )).
% 12.66/12.90 cnf(matrix-616, plain, ( ~class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(T_a) | hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(T_a), hAPP(hAPP(c_HOL_Oplus__class_Oplus(T_a), V_a), V_c)), hAPP(hAPP(c_HOL_Oplus__class_Oplus(T_a), V_b), V_c))) | ~hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(T_a), V_a), V_b)) )).
% 12.66/12.90 cnf(matrix-617, plain, ( ~class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(T_a) | hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(T_a), V_a), V_b)) | ~hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(T_a), hAPP(hAPP(c_HOL_Oplus__class_Oplus(T_a), V_a), V_c)), hAPP(hAPP(c_HOL_Oplus__class_Oplus(T_a), V_b), V_c))) )).
% 12.66/12.90 cnf(matrix-618, plain, ( ~class_OrderedGroup_Opordered__cancel__ab__semigroup__add(T_a) | hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(T_a), hAPP(hAPP(c_HOL_Oplus__class_Oplus(T_a), V_c), V_a)), hAPP(hAPP(c_HOL_Oplus__class_Oplus(T_a), V_c), V_b))) | ~hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(T_a), V_a), V_b)) )).
% 12.66/12.90 cnf(matrix-619, plain, ( ~class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(T_a) | hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(T_a), hAPP(hAPP(c_HOL_Oplus__class_Oplus(T_a), V_c), V_a)), hAPP(hAPP(c_HOL_Oplus__class_Oplus(T_a), V_c), V_b))) | ~hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(T_a), V_a), V_b)) )).
% 12.66/12.90 cnf(matrix-620, plain, ( ~class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(T_a) | hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(T_a), V_a), V_b)) | ~hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(T_a), hAPP(hAPP(c_HOL_Oplus__class_Oplus(T_a), V_c), V_a)), hAPP(hAPP(c_HOL_Oplus__class_Oplus(T_a), V_c), V_b))) )).
% 12.66/12.90 cnf(matrix-621, plain, ( ~class_Lattices_Olattice(T_b) | ( hAPP(hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(t_a, T_b)), V_f), V_g), v_x) = hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(T_b), hAPP(V_f, v_x)), hAPP(V_g, v_x))) )).
% 12.66/12.90 cnf(matrix-622, plain, ( ~class_Orderings_Oorder(T_a) | hBOOL(hAPP(hAPP(c_lessequals(T_a), V_z), V_x)) | ~hBOOL(hAPP(hAPP(c_lessequals(T_a), V_z), V_y)) | ~hBOOL(hAPP(hAPP(c_lessequals(T_a), V_y), V_x)) )).
% 12.66/12.90 cnf(matrix-623, plain, ( ~class_Orderings_Oorder(T_a) | hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(T_a), V_z), V_x)) | ~hBOOL(hAPP(hAPP(c_lessequals(T_a), V_z), V_y)) | ~hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(T_a), V_y), V_x)) )).
% 12.66/12.90 cnf(matrix-624, plain, ( ~class_Orderings_Oorder(T_a) | hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(T_a), V_z), V_x)) | ~hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(T_a), V_z), V_y)) | ~hBOOL(hAPP(hAPP(c_lessequals(T_a), V_y), V_x)) )).
% 12.66/12.90 cnf(matrix-625, plain, ( ~class_OrderedGroup_Opordered__comm__monoid__add(T_a) | hBOOL(hAPP(hAPP(c_lessequals(T_a), hAPP(hAPP(c_HOL_Oplus__class_Oplus(T_a), V_a), V_b)), c_HOL_Ozero__class_Ozero(T_a))) | ~hBOOL(hAPP(hAPP(c_lessequals(T_a), V_b), c_HOL_Ozero__class_Ozero(T_a))) | ~hBOOL(hAPP(hAPP(c_lessequals(T_a), V_a), c_HOL_Ozero__class_Ozero(T_a))) )).
% 12.66/12.90 cnf(matrix-626, plain, ( ~class_Orderings_Opreorder(T_a) | hBOOL(hAPP(hAPP(c_lessequals(T_a), V_x), V_z)) | ~hBOOL(hAPP(hAPP(c_lessequals(T_a), V_y), V_z)) | ~hBOOL(hAPP(hAPP(c_lessequals(T_a), V_x), V_y)) )).
% 12.66/12.90 cnf(matrix-627, plain, ( hBOOL(hAPP(hAPP(c_lessequals(tc_fun(T_a, tc_bool)), V_x), V_x)) )).
% 12.66/12.90 cnf(matrix-628, plain, ( hBOOL(hAPP(hAPP(c_lessequals(tc_fun(T_a, tc_bool)), V_A), V_A)) )).
% 12.66/12.90 cnf(matrix-629, plain, ( hBOOL(hAPP(hAPP(c_lessequals(tc_fun(T_a, tc_bool)), V_A), V_C)) | ~hBOOL(hAPP(hAPP(c_lessequals(tc_fun(T_a, tc_bool)), V_B), V_C)) | ~hBOOL(hAPP(hAPP(c_lessequals(tc_fun(T_a, tc_bool)), V_A), V_B)) )).
% 12.66/12.90 cnf(matrix-630, plain, ( hBOOL(hAPP(V_Q, V_x)) | ~hBOOL(hAPP(V_P, V_x)) | ~hBOOL(hAPP(hAPP(c_lessequals(tc_fun(T_a, tc_bool)), V_P), V_Q)) )).
% 12.66/12.90 cnf(matrix-631, plain, ( ~class_Orderings_Oorder(T_a) | hBOOL(hAPP(hAPP(c_lessequals(T_a), V_x), V_x)) )).
% 12.66/12.90 cnf(matrix-632, plain, ( ~class_Orderings_Opreorder(T_a) | hBOOL(hAPP(hAPP(c_lessequals(T_a), V_x), V_x)) )).
% 12.66/12.90 cnf(matrix-633, plain, ( c_Finite__Set_Ofinite(V_A, T_a) | ~c_Finite__Set_Ofinite(V_B, T_a) | ~hBOOL(hAPP(hAPP(c_lessequals(tc_fun(T_a, tc_bool)), V_A), V_B)) )).
% 12.66/12.90 cnf(matrix-634, plain, ( hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(tc_fun(T_a, tc_bool)), V_A), V_C)) | ~hBOOL(hAPP(hAPP(c_lessequals(tc_fun(T_a, tc_bool)), V_B), V_C)) | ~hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(tc_fun(T_a, tc_bool)), V_A), V_B)) )).
% 12.66/12.90 cnf(matrix-635, plain, ( hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(tc_fun(T_a, tc_bool)), V_A), V_C)) | ~hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(tc_fun(T_a, tc_bool)), V_B), V_C)) | ~hBOOL(hAPP(hAPP(c_lessequals(tc_fun(T_a, tc_bool)), V_A), V_B)) )).
% 12.66/12.90 cnf(matrix-636, plain, ( hBOOL(hAPP(V_Q, V_x)) | ~hBOOL(hAPP(hAPP(c_lessequals(tc_fun(T_a, tc_bool)), V_P), V_Q)) | ~hBOOL(hAPP(V_P, V_x)) )).
% 12.66/12.90 cnf(matrix-637, plain, ( c_Finite__Set_Ofinite(V_A, T_a) | ~hBOOL(hAPP(hAPP(c_lessequals(tc_fun(T_a, tc_bool)), V_A), V_B)) | ~c_Finite__Set_Ofinite(V_B, T_a) )).
% 12.66/12.90 cnf(matrix-638, plain, ( ~class_Orderings_Opreorder(T_a) | hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(T_a), V_x), V_z)) | ~hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(T_a), V_y), V_z)) | ~hBOOL(hAPP(hAPP(c_lessequals(T_a), V_x), V_y)) )).
% 12.66/12.90 cnf(matrix-639, plain, ( ~class_Orderings_Opreorder(T_a) | hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(T_a), V_x), V_z)) | ~hBOOL(hAPP(hAPP(c_lessequals(T_a), V_y), V_z)) | ~hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(T_a), V_x), V_y)) )).
% 12.66/12.90 cnf(matrix-640, plain, ( ~class_OrderedGroup_Opordered__ab__group__add(T_a) | hBOOL(hAPP(hAPP(c_lessequals(T_a), V_a), hAPP(hAPP(c_HOL_Oplus__class_Oplus(T_a), V_b), V_d))) | ~hBOOL(hAPP(hAPP(c_lessequals(T_a), V_c), V_d)) | ~hBOOL(hAPP(hAPP(c_lessequals(T_a), V_a), hAPP(hAPP(c_HOL_Oplus__class_Oplus(T_a), V_b), V_c))) )).
% 12.66/12.90 cnf(matrix-641, plain, ( ~class_Orderings_Oorder(T_a) | hBOOL(hAPP(hAPP(c_lessequals(T_a), V_c), V_d)) | ~hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(tc_fun(T_a, tc_bool)), c_SetInterval_Oord__class_OatLeastAtMost(V_a, V_b, T_a)), c_SetInterval_Oord__class_OatLeastAtMost(V_c, V_d, T_a))) )).
% 12.66/12.90 cnf(matrix-642, plain, ( ~class_Lattices_Olower__semilattice(T_a) | c_OrderedGroup_Oab__semigroup__idem__mult(c_Lattices_Olower__semilattice__class_Oinf(T_a), T_a) )).
% 12.66/12.90 cnf(matrix-643, plain, ( hBOOL(hAPP(hAPP(c_lessequals(tc_fun(T_a, tc_bool)), hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(T_a, tc_bool)), V_A), V_B)), hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(T_a, tc_bool)), V_C), V_D))) | ~hBOOL(hAPP(hAPP(c_lessequals(tc_fun(T_a, tc_bool)), V_B), V_D)) | ~hBOOL(hAPP(hAPP(c_lessequals(tc_fun(T_a, tc_bool)), V_A), V_C)) )).
% 12.66/12.90 cnf(matrix-644, plain, ( ( c_HOL_Ominus__class_Ominus(hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(T_a, tc_bool)), V_A), V_B), V_C, tc_fun(T_a, tc_bool)) = hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(T_a, tc_bool)), V_A), c_HOL_Ominus__class_Ominus(V_B, V_C, tc_fun(T_a, tc_bool)))) )).
% 12.66/12.90 cnf(matrix-645, plain, ( ( hAPP(c_Fun_Ofun__upd(V_m, V_xa, hAPP(c_Option_Ooption_OSome(T_a), V_x), T_aa, tc_Option_Ooption(T_a)), V_xa) = hAPP(c_Option_Ooption_OSome(T_a), V_x)) )).
% 12.66/12.90 cnf(matrix-646, plain, ( ( hAPP(V_t, V_k) != hAPP(c_Option_Ooption_OSome(T_a), V_x)) | ( c_Fun_Ofun__upd(V_t, V_k, hAPP(c_Option_Ooption_OSome(T_a), V_x), T_b, tc_Option_Ooption(T_a)) = V_t) )).
% 12.66/12.90 cnf(matrix-647, plain, ( ~class_OrderedGroup_Oab__semigroup__idem__mult(T_a) | ( hAPP(hAPP(c_HOL_Otimes__class_Otimes(T_a), V_x), V_x) = V_x) )).
% 12.66/12.90 cnf(matrix-648, plain, ( ~class_Ring__and__Field_Oordered__semiring__strict(T_a) | hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(T_a), hAPP(hAPP(c_HOL_Otimes__class_Otimes(T_a), V_a), V_c)), hAPP(hAPP(c_HOL_Otimes__class_Otimes(T_a), V_b), V_d))) | ~hBOOL(hAPP(hAPP(c_lessequals(T_a), c_HOL_Ozero__class_Ozero(T_a)), V_c)) | ~hBOOL(hAPP(hAPP(c_lessequals(T_a), c_HOL_Ozero__class_Ozero(T_a)), V_a)) | ~hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(T_a), V_c), V_d)) | ~hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(T_a), V_a), V_b)) )).
% 12.66/12.90 cnf(matrix-649, plain, ( hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(tc_nat), V_m), V_n)) | ~hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(tc_nat), c_Suc(V_m)), V_n)) )).
% 12.66/12.90 cnf(matrix-650, plain, ( hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(tc_nat), V_m), c_Suc(V_n))) | ~hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(tc_nat), V_m), V_n)) )).
% 12.66/12.90 cnf(matrix-651, plain, ( ~class_Ring__and__Field_Oordered__ring__strict(T_a) | ( hAPP(hAPP(c_HOL_Oplus__class_Oplus(T_a), hAPP(hAPP(c_HOL_Otimes__class_Otimes(T_a), c_HOL_Ozero__class_Ozero(T_a)), c_HOL_Ozero__class_Ozero(T_a))), hAPP(hAPP(c_HOL_Otimes__class_Otimes(T_a), c_HOL_Ozero__class_Ozero(T_a)), c_HOL_Ozero__class_Ozero(T_a))) = c_HOL_Ozero__class_Ozero(T_a)) )).
% 12.66/12.90 cnf(matrix-652, plain, ( ~class_Ring__and__Field_Oordered__ring__strict(T_a) | hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(T_a), V_c), c_HOL_Ozero__class_Ozero(T_a))) | hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(T_a), V_a), V_b)) | ~hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(T_a), hAPP(hAPP(c_HOL_Otimes__class_Otimes(T_a), V_a), V_c)), hAPP(hAPP(c_HOL_Otimes__class_Otimes(T_a), V_b), V_c))) )).
% 12.66/12.90 cnf(matrix-653, plain, ( ~class_Ring__and__Field_Oordered__ring__strict(T_a) | hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(T_a), V_b), V_a)) | hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(T_a), c_HOL_Ozero__class_Ozero(T_a)), V_c)) | ~hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(T_a), hAPP(hAPP(c_HOL_Otimes__class_Otimes(T_a), V_a), V_c)), hAPP(hAPP(c_HOL_Otimes__class_Otimes(T_a), V_b), V_c))) )).
% 12.66/12.90 cnf(matrix-654, plain, ( ~class_Ring__and__Field_Oordered__ring__strict(T_a) | hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(T_a), V_c), c_HOL_Ozero__class_Ozero(T_a))) | hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(T_a), V_a), V_b)) | ~hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(T_a), hAPP(hAPP(c_HOL_Otimes__class_Otimes(T_a), V_c), V_a)), hAPP(hAPP(c_HOL_Otimes__class_Otimes(T_a), V_c), V_b))) )).
% 12.66/12.90 cnf(matrix-655, plain, ( ~class_Ring__and__Field_Oordered__ring__strict(T_a) | hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(T_a), V_b), V_a)) | hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(T_a), c_HOL_Ozero__class_Ozero(T_a)), V_c)) | ~hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(T_a), hAPP(hAPP(c_HOL_Otimes__class_Otimes(T_a), V_c), V_a)), hAPP(hAPP(c_HOL_Otimes__class_Otimes(T_a), V_c), V_b))) )).
% 12.66/12.90 cnf(matrix-656, plain, ( ~class_OrderedGroup_Ocomm__monoid__add(T_b) | ( hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(T_a, tc_bool)), V_A), V_B) != c_Orderings_Obot__class_Obot(tc_fun(T_a, tc_bool))) | ~c_Finite__Set_Ofinite(V_B, T_a) | ~c_Finite__Set_Ofinite(V_A, T_a) | ( c_Finite__Set_Ofold__image(c_HOL_Oplus__class_Oplus(T_b), V_g, c_HOL_Ozero__class_Ozero(T_b), hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(T_a, tc_bool)), V_A), V_B), T_b, T_a) = hAPP(hAPP(c_HOL_Oplus__class_Oplus(T_b), c_Finite__Set_Ofold__image(c_HOL_Oplus__class_Oplus(T_b), V_g, c_HOL_Ozero__class_Ozero(T_b), V_A, T_b, T_a)), c_Finite__Set_Ofold__image(c_HOL_Oplus__class_Oplus(T_b), V_g, c_HOL_Ozero__class_Ozero(T_b), V_B, T_b, T_a))) )).
% 12.66/12.90 cnf(matrix-657, plain, ( ( V_x = V_y) | hBOOL(hAPP(hAPP(V_less, V_y), V_x)) | hBOOL(hAPP(hAPP(V_less, V_x), V_y)) | ~c_Orderings_Olinorder(V_less__eq, V_less, T_a) )).
% 12.66/12.90 cnf(matrix-658, plain, ( hBOOL(hAPP(hAPP(V_less, V_y), V_x)) | hBOOL(hAPP(hAPP(V_less, V_x), V_y)) | ( V_x = V_y) | ~c_Orderings_Olinorder(V_less__eq, V_less, T_a) )).
% 12.66/12.90 cnf(matrix-659, plain, ( hBOOL(hAPP(hAPP(V_less, V_y), V_x)) | ( V_x = V_y) | hBOOL(hAPP(hAPP(V_less, V_x), V_y)) | ~c_Orderings_Olinorder(V_less__eq, V_less, T_a) )).
% 12.66/12.90 cnf(matrix-660, plain, ( ( V_x = V_y) | hBOOL(hAPP(hAPP(V_less, V_x), V_y)) | hBOOL(hAPP(hAPP(V_less, V_y), V_x)) | ~c_Orderings_Olinorder(V_less__eq, V_less, T_a) )).
% 12.66/12.90 cnf(matrix-661, plain, ( hBOOL(hAPP(hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(T_a, tc_bool)), V_A), V_B), V_x)) | ~hBOOL(hAPP(V_B, V_x)) | ~hBOOL(hAPP(V_A, V_x)) )).
% 12.66/12.90 cnf(matrix-662, plain, ( ( hAPP(c_Fun_Ofun__upd(V_f, V_x, V_y, T_b, T_a), V_z) = hAPP(V_f, V_z)) | ( V_z = V_x) )).
% 12.66/12.90 cnf(matrix-663, plain, ( ( hAPP(c_Fun_Ofun__upd(V_f, V_x, V_y, T_a, T_b), V_z) = hAPP(V_f, V_z)) | ( V_z = V_x) )).
% 12.66/12.90 cnf(matrix-664, plain, ( ~class_Orderings_Olinorder(T_a) | hBOOL(hAPP(hAPP(c_lessequals(T_a), hAPP(hAPP(c_Orderings_Oord__class_Omax(T_a), V_x), hAPP(hAPP(c_Orderings_Oord__class_Omin(T_a), V_y), V_z))), hAPP(hAPP(c_Orderings_Oord__class_Omin(T_a), hAPP(hAPP(c_Orderings_Oord__class_Omax(T_a), V_x), V_y)), hAPP(hAPP(c_Orderings_Oord__class_Omax(T_a), V_x), V_z)))) )).
% 12.66/12.90 cnf(matrix-665, plain, ( ~class_Orderings_Olinorder(T_a) | hBOOL(hAPP(hAPP(c_lessequals(T_a), hAPP(c_Finite__Set_Ofold1(c_Orderings_Oord__class_Omin(T_a), T_a), V_B)), hAPP(c_Finite__Set_Ofold1(c_Orderings_Oord__class_Omin(T_a), T_a), V_A))) | ~c_Finite__Set_Ofinite(V_B, T_a) | ~hBOOL(hAPP(hAPP(c_lessequals(tc_fun(T_a, tc_bool)), V_A), V_B)) | ( V_A = c_Orderings_Obot__class_Obot(tc_fun(T_a, tc_bool))) )).
% 12.66/12.90 cnf(matrix-666, plain, ( ( c_HOL_Ominus__class_Ominus(V_B, c_HOL_Ominus__class_Ominus(V_C, V_A, tc_fun(T_a, tc_bool)), tc_fun(T_a, tc_bool)) = V_A) | ~hBOOL(hAPP(hAPP(c_lessequals(tc_fun(T_a, tc_bool)), V_B), V_C)) | ~hBOOL(hAPP(hAPP(c_lessequals(tc_fun(T_a, tc_bool)), V_A), V_B)) )).
% 12.66/12.90 cnf(matrix-667, plain, ( ~class_OrderedGroup_Opordered__ab__group__add(T_a) | ( c_HOL_Ominus__class_Ominus(V_x, V_y, T_a) != c_HOL_Ominus__class_Ominus(V_x_H, V_y_H, T_a)) | hBOOL(hAPP(hAPP(c_lessequals(T_a), V_y_H), V_x_H)) | ~hBOOL(hAPP(hAPP(c_lessequals(T_a), V_y), V_x)) )).
% 12.66/12.90 cnf(matrix-668, plain, ( ~class_OrderedGroup_Opordered__ab__group__add(T_a) | ( c_HOL_Ominus__class_Ominus(V_x, V_y, T_a) != c_HOL_Ominus__class_Ominus(V_x_H, V_y_H, T_a)) | hBOOL(hAPP(hAPP(c_lessequals(T_a), V_y), V_x)) | ~hBOOL(hAPP(hAPP(c_lessequals(T_a), V_y_H), V_x_H)) )).
% 12.66/12.90 cnf(matrix-669, plain, ( ~class_OrderedGroup_Opordered__ab__group__add(T_a) | ( c_HOL_Ominus__class_Ominus(V_x, V_y, T_a) != c_HOL_Ominus__class_Ominus(V_x_H, V_y_H, T_a)) | hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(T_a), V_x_H), V_y_H)) | ~hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(T_a), V_x), V_y)) )).
% 12.66/12.90 cnf(matrix-670, plain, ( ~class_OrderedGroup_Opordered__ab__group__add(T_a) | ( c_HOL_Ominus__class_Ominus(V_x, V_y, T_a) != c_HOL_Ominus__class_Ominus(V_x_H, V_y_H, T_a)) | hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(T_a), V_x), V_y)) | ~hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(T_a), V_x_H), V_y_H)) )).
% 12.66/12.90 cnf(matrix-671, plain, ( ~class_Orderings_Oorder(T_a) | ( hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(T_a, tc_bool)), c_SetInterval_Oord__class_OlessThan(V_l, T_a)), c_SetInterval_Oord__class_OatLeastAtMost(V_l, V_u, T_a)) = c_Orderings_Obot__class_Obot(tc_fun(T_a, tc_bool))) )).
% 12.66/12.90 cnf(matrix-672, plain, ( c_Finite__Set_Ofun__left__comm(V_times, T_a, T_a) | ~c_OrderedGroup_Oab__semigroup__mult(V_times, T_a) )).
% 12.66/12.90 cnf(matrix-673, plain, ( ~class_Orderings_Olinorder(T_a) | ( hAPP(hAPP(c_Orderings_Oord__class_Omax(T_a), hAPP(hAPP(c_Orderings_Oord__class_Omin(T_a), V_y), V_z)), V_x) = hAPP(hAPP(c_Orderings_Oord__class_Omin(T_a), hAPP(hAPP(c_Orderings_Oord__class_Omax(T_a), V_y), V_x)), hAPP(hAPP(c_Orderings_Oord__class_Omax(T_a), V_z), V_x))) )).
% 12.66/12.90 cnf(matrix-674, plain, ( ~class_Orderings_Olinorder(T_a) | ( hAPP(hAPP(c_Orderings_Oord__class_Omax(T_a), V_x), hAPP(hAPP(c_Orderings_Oord__class_Omin(T_a), V_y), V_z)) = hAPP(hAPP(c_Orderings_Oord__class_Omin(T_a), hAPP(hAPP(c_Orderings_Oord__class_Omax(T_a), V_x), V_y)), hAPP(hAPP(c_Orderings_Oord__class_Omax(T_a), V_x), V_z))) )).
% 12.66/12.90 cnf(matrix-675, plain, ( ~class_Orderings_Oorder(T_a) | hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(T_a), V_b), V_a)) | ( V_a = V_b) | ~hBOOL(hAPP(hAPP(c_lessequals(T_a), V_b), V_a)) )).
% 12.66/12.90 cnf(matrix-676, plain, ( ~class_Orderings_Oorder(T_a) | hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(T_a), V_b), V_a)) | ~hBOOL(hAPP(hAPP(c_lessequals(T_a), V_b), V_a)) | ( V_a = V_b) )).
% 12.66/12.90 cnf(matrix-677, plain, ( hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(tc_fun(T_a, tc_bool)), V_A), V_B)) | ( V_A = V_B) | ~hBOOL(hAPP(hAPP(c_lessequals(tc_fun(T_a, tc_bool)), V_A), V_B)) )).
% 12.66/12.90 cnf(matrix-678, plain, ( ~class_Orderings_Oorder(T_a) | ( V_x = V_y) | hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(T_a), V_x), V_y)) | ~hBOOL(hAPP(hAPP(c_lessequals(T_a), V_x), V_y)) )).
% 12.66/12.90 cnf(matrix-679, plain, ( ~class_Orderings_Oorder(T_a) | hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(T_a), V_x), V_y)) | ( V_x = V_y) | ~hBOOL(hAPP(hAPP(c_lessequals(T_a), V_x), V_y)) )).
% 12.66/12.90 cnf(matrix-680, plain, ( ( V_A = V_B) | hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(tc_fun(T_a, tc_bool)), V_A), V_B)) | ~hBOOL(hAPP(hAPP(c_lessequals(tc_fun(T_a, tc_bool)), V_A), V_B)) )).
% 12.66/12.90 cnf(matrix-681, plain, ( ~class_Orderings_Oorder(T_a) | hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(T_a), V_a), V_b)) | ( V_a = V_b) | ~hBOOL(hAPP(hAPP(c_lessequals(T_a), V_a), V_b)) )).
% 12.66/12.90 cnf(matrix-682, plain, ( ~class_Orderings_Oorder(T_a) | hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(T_a), V_a), V_b)) | ~hBOOL(hAPP(hAPP(c_lessequals(T_a), V_a), V_b)) | ( V_a = V_b) )).
% 12.66/12.90 cnf(matrix-683, plain, ( ~class_Orderings_Olinorder(T_a) | ( V_x = V_y) | ~hBOOL(hAPP(hAPP(c_lessequals(T_a), V_x), V_y)) | hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(T_a), V_x), V_y)) )).
% 12.66/12.90 cnf(matrix-684, plain, ( ~class_Orderings_Olinorder(T_a) | ( V_x = V_y) | hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(T_a), V_x), V_y)) | ~hBOOL(hAPP(hAPP(c_lessequals(T_a), V_x), V_y)) )).
% 12.66/12.90 cnf(matrix-685, plain, ( ~class_Ring__and__Field_Opordered__cancel__semiring(T_a) | hBOOL(hAPP(hAPP(c_lessequals(T_a), c_HOL_Ozero__class_Ozero(T_a)), hAPP(hAPP(c_HOL_Otimes__class_Otimes(T_a), V_a), V_b))) | ~hBOOL(hAPP(hAPP(c_lessequals(T_a), c_HOL_Ozero__class_Ozero(T_a)), V_b)) | ~hBOOL(hAPP(hAPP(c_lessequals(T_a), c_HOL_Ozero__class_Ozero(T_a)), V_a)) )).
% 12.66/12.90 cnf(matrix-686, plain, ( ~class_Ring__and__Field_Oordered__ring__strict(T_a) | hBOOL(hAPP(hAPP(c_lessequals(T_a), c_HOL_Ozero__class_Ozero(T_a)), hAPP(hAPP(c_HOL_Otimes__class_Otimes(T_a), V_a), V_b))) | ~hBOOL(hAPP(hAPP(c_lessequals(T_a), V_b), c_HOL_Ozero__class_Ozero(T_a))) | ~hBOOL(hAPP(hAPP(c_lessequals(T_a), V_a), c_HOL_Ozero__class_Ozero(T_a))) )).
% 12.73/12.90 cnf(matrix-687, plain, ( ~class_Ring__and__Field_Oordered__ring__strict(T_a) | hBOOL(hAPP(hAPP(c_lessequals(T_a), c_HOL_Ozero__class_Ozero(T_a)), hAPP(hAPP(c_HOL_Otimes__class_Otimes(T_a), V_a), V_b))) | ~hBOOL(hAPP(hAPP(c_lessequals(T_a), c_HOL_Ozero__class_Ozero(T_a)), V_b)) | ~hBOOL(hAPP(hAPP(c_lessequals(T_a), c_HOL_Ozero__class_Ozero(T_a)), V_a)) )).
% 12.73/12.90 cnf(matrix-688, plain, ( ~class_Ring__and__Field_Oordered__ring__strict(T_a) | hBOOL(hAPP(hAPP(c_lessequals(T_a), c_HOL_Ozero__class_Ozero(T_a)), hAPP(hAPP(c_HOL_Otimes__class_Otimes(T_a), V_a), V_a))) )).
% 12.73/12.90 cnf(matrix-689, plain, ( ~class_Ring__and__Field_Opordered__ring(T_a) | hBOOL(hAPP(hAPP(c_lessequals(T_a), c_HOL_Ozero__class_Ozero(T_a)), hAPP(hAPP(c_HOL_Otimes__class_Otimes(T_a), V_a), V_b))) | ~hBOOL(hAPP(hAPP(c_lessequals(T_a), V_b), c_HOL_Ozero__class_Ozero(T_a))) | ~hBOOL(hAPP(hAPP(c_lessequals(T_a), V_a), c_HOL_Ozero__class_Ozero(T_a))) )).
% 12.73/12.90 cnf(matrix-690, plain, ( ~class_Ring__and__Field_Opordered__ring(T_a) | hBOOL(hAPP(hAPP(c_lessequals(T_a), c_HOL_Ozero__class_Ozero(T_a)), hAPP(hAPP(c_HOL_Otimes__class_Otimes(T_a), V_a), V_b))) | ~hBOOL(hAPP(hAPP(c_lessequals(T_a), V_b), c_HOL_Ozero__class_Ozero(T_a))) | ~hBOOL(hAPP(hAPP(c_lessequals(T_a), V_a), c_HOL_Ozero__class_Ozero(T_a))) )).
% 12.73/12.90 cnf(matrix-691, plain, ( ~class_Ring__and__Field_Opordered__ring(T_a) | hBOOL(hAPP(hAPP(c_lessequals(T_a), c_HOL_Ozero__class_Ozero(T_a)), hAPP(hAPP(c_HOL_Otimes__class_Otimes(T_a), V_a), V_b))) | ~hBOOL(hAPP(hAPP(c_lessequals(T_a), c_HOL_Ozero__class_Ozero(T_a)), V_b)) | ~hBOOL(hAPP(hAPP(c_lessequals(T_a), c_HOL_Ozero__class_Ozero(T_a)), V_a)) )).
% 12.73/12.90 cnf(matrix-692, plain, ( ( c_Fun_Ofun__upd(V_m, V_a, hAPP(c_Option_Ooption_OSome(T_b), V_x), T_a, tc_Option_Ooption(T_b)) != c_Fun_Ofun__upd(V_n, V_a, hAPP(c_Option_Ooption_OSome(T_b), V_y), T_a, tc_Option_Ooption(T_b))) | ( V_x = V_y) )).
% 12.73/12.90 cnf(matrix-693, plain, ( ~class_Orderings_Oorder(T_a) | hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(tc_fun(T_a, tc_bool)), c_SetInterval_Oord__class_OatLeastAtMost(V_a, V_b, T_a)), c_SetInterval_Oord__class_OatLeastAtMost(V_c, V_d, T_a))) | ~hBOOL(hAPP(hAPP(c_lessequals(T_a), V_c), V_d)) | hBOOL(hAPP(hAPP(c_lessequals(T_a), V_a), V_b)) )).
% 12.73/12.90 cnf(matrix-694, plain, ( ~class_Ring__and__Field_Oordered__ring__strict(T_a) | hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(T_a), V_c), c_HOL_Ozero__class_Ozero(T_a))) | hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(T_a), c_HOL_Ozero__class_Ozero(T_a)), V_c)) | ~hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(T_a), hAPP(hAPP(c_HOL_Otimes__class_Otimes(T_a), V_c), V_a)), hAPP(hAPP(c_HOL_Otimes__class_Otimes(T_a), V_c), V_b))) )).
% 12.73/12.90 cnf(matrix-695, plain, ( ~class_Ring__and__Field_Oordered__ring__strict(T_a) | hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(T_a), V_b), V_a)) | hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(T_a), V_a), V_b)) | ~hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(T_a), hAPP(hAPP(c_HOL_Otimes__class_Otimes(T_a), V_c), V_a)), hAPP(hAPP(c_HOL_Otimes__class_Otimes(T_a), V_c), V_b))) )).
% 12.73/12.90 cnf(matrix-696, plain, ( ~class_Ring__and__Field_Oordered__ring__strict(T_a) | hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(T_a), V_c), c_HOL_Ozero__class_Ozero(T_a))) | hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(T_a), c_HOL_Ozero__class_Ozero(T_a)), V_c)) | ~hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(T_a), hAPP(hAPP(c_HOL_Otimes__class_Otimes(T_a), V_a), V_c)), hAPP(hAPP(c_HOL_Otimes__class_Otimes(T_a), V_b), V_c))) )).
% 12.73/12.90 cnf(matrix-697, plain, ( ~class_Ring__and__Field_Oordered__ring__strict(T_a) | hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(T_a), V_b), V_a)) | hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(T_a), V_a), V_b)) | ~hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(T_a), hAPP(hAPP(c_HOL_Otimes__class_Otimes(T_a), V_a), V_c)), hAPP(hAPP(c_HOL_Otimes__class_Otimes(T_a), V_b), V_c))) )).
% 12.73/12.90 cnf(matrix-698, plain, ( hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(tc_nat), V_x), V_x)) | hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(tc_nat), V_x), c_Suc(V_x))) )).
% 12.73/12.90 cnf(matrix-699, plain, ( ~hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(tc_nat), V_m), V_n)) | ~hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(tc_nat), V_n), c_Suc(V_m))) )).
% 12.73/12.90 cnf(matrix-700, plain, ( hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(tc_nat), V_n), c_Suc(V_m))) | hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(tc_nat), V_m), V_n)) )).
% 12.73/12.90 cnf(matrix-701, plain, ( ~class_Ring__and__Field_Oordered__ring__strict(T_a) | hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(T_a), V_b), V_a)) | ~hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(T_a), hAPP(hAPP(c_HOL_Otimes__class_Otimes(T_a), V_c), V_a)), hAPP(hAPP(c_HOL_Otimes__class_Otimes(T_a), V_c), V_b))) | ~hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(T_a), V_c), c_HOL_Ozero__class_Ozero(T_a))) )).
% 12.73/12.90 cnf(matrix-702, plain, ( ~class_Ring__and__Field_Oordered__ring__strict(T_a) | hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(T_a), hAPP(hAPP(c_HOL_Otimes__class_Otimes(T_a), V_c), V_a)), hAPP(hAPP(c_HOL_Otimes__class_Otimes(T_a), V_c), V_b))) | ~hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(T_a), V_b), V_a)) | ~hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(T_a), V_c), c_HOL_Ozero__class_Ozero(T_a))) )).
% 12.73/12.90 cnf(matrix-703, plain, ( ~class_Ring__and__Field_Oordered__ring__strict(T_a) | hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(T_a), V_a), V_b)) | ~hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(T_a), hAPP(hAPP(c_HOL_Otimes__class_Otimes(T_a), V_c), V_a)), hAPP(hAPP(c_HOL_Otimes__class_Otimes(T_a), V_c), V_b))) | ~hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(T_a), c_HOL_Ozero__class_Ozero(T_a)), V_c)) )).
% 12.73/12.90 cnf(matrix-704, plain, ( ~class_Ring__and__Field_Oordered__ring__strict(T_a) | hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(T_a), hAPP(hAPP(c_HOL_Otimes__class_Otimes(T_a), V_c), V_a)), hAPP(hAPP(c_HOL_Otimes__class_Otimes(T_a), V_c), V_b))) | ~hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(T_a), V_a), V_b)) | ~hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(T_a), c_HOL_Ozero__class_Ozero(T_a)), V_c)) )).
% 12.73/12.90 cnf(matrix-705, plain, ( ~class_Ring__and__Field_Oordered__ring__strict(T_a) | hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(T_a), hAPP(hAPP(c_HOL_Otimes__class_Otimes(T_a), V_c), V_a)), hAPP(hAPP(c_HOL_Otimes__class_Otimes(T_a), V_c), V_b))) | ~hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(T_a), V_c), c_HOL_Ozero__class_Ozero(T_a))) | ~hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(T_a), V_b), V_a)) )).
% 12.73/12.90 cnf(matrix-706, plain, ( ~class_Ring__and__Field_Oordered__semiring__strict(T_a) | hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(T_a), hAPP(hAPP(c_HOL_Otimes__class_Otimes(T_a), V_c), V_a)), hAPP(hAPP(c_HOL_Otimes__class_Otimes(T_a), V_c), V_b))) | ~hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(T_a), c_HOL_Ozero__class_Ozero(T_a)), V_c)) | ~hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(T_a), V_a), V_b)) )).
% 12.73/12.90 cnf(matrix-707, plain, ( ~class_Ring__and__Field_Oordered__ring__strict(T_a) | hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(T_a), hAPP(hAPP(c_HOL_Otimes__class_Otimes(T_a), V_c), V_a)), hAPP(hAPP(c_HOL_Otimes__class_Otimes(T_a), V_c), V_b))) | ~hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(T_a), V_a), V_b)) | ~hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(T_a), c_HOL_Ozero__class_Ozero(T_a)), V_c)) )).
% 12.73/12.90 cnf(matrix-708, plain, ( ~class_Ring__and__Field_Oordered__ring__strict(T_a) | hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(T_a), hAPP(hAPP(c_HOL_Otimes__class_Otimes(T_a), V_c), V_a)), hAPP(hAPP(c_HOL_Otimes__class_Otimes(T_a), V_c), V_b))) | ~hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(T_a), V_b), V_a)) | ~hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(T_a), V_c), c_HOL_Ozero__class_Ozero(T_a))) )).
% 12.73/12.90 cnf(matrix-709, plain, ( ~class_Ring__and__Field_Oordered__ring__strict(T_a) | hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(T_a), hAPP(hAPP(c_HOL_Otimes__class_Otimes(T_a), V_a), V_c)), hAPP(hAPP(c_HOL_Otimes__class_Otimes(T_a), V_b), V_c))) | ~hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(T_a), V_c), c_HOL_Ozero__class_Ozero(T_a))) | ~hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(T_a), V_b), V_a)) )).
% 12.73/12.90 cnf(matrix-710, plain, ( ~class_Ring__and__Field_Oordered__semiring__strict(T_a) | hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(T_a), hAPP(hAPP(c_HOL_Otimes__class_Otimes(T_a), V_a), V_c)), hAPP(hAPP(c_HOL_Otimes__class_Otimes(T_a), V_b), V_c))) | ~hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(T_a), c_HOL_Ozero__class_Ozero(T_a)), V_c)) | ~hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(T_a), V_a), V_b)) )).
% 12.73/12.90 cnf(matrix-711, plain, ( ~class_Ring__and__Field_Oordered__ring__strict(T_a) | hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(T_a), hAPP(hAPP(c_HOL_Otimes__class_Otimes(T_a), V_a), V_c)), hAPP(hAPP(c_HOL_Otimes__class_Otimes(T_a), V_b), V_c))) | ~hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(T_a), V_a), V_b)) | ~hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(T_a), c_HOL_Ozero__class_Ozero(T_a)), V_c)) )).
% 12.73/12.90 cnf(matrix-712, plain, ( ~class_Ring__and__Field_Oordered__ring__strict(T_a) | hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(T_a), hAPP(hAPP(c_HOL_Otimes__class_Otimes(T_a), V_a), V_c)), hAPP(hAPP(c_HOL_Otimes__class_Otimes(T_a), V_b), V_c))) | ~hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(T_a), V_b), V_a)) | ~hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(T_a), V_c), c_HOL_Ozero__class_Ozero(T_a))) )).
% 12.73/12.90 cnf(matrix-713, plain, ( ~class_Ring__and__Field_Oordered__comm__semiring__strict(T_a) | hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(T_a), hAPP(hAPP(c_HOL_Otimes__class_Otimes(T_a), V_c), V_a)), hAPP(hAPP(c_HOL_Otimes__class_Otimes(T_a), V_c), V_b))) | ~hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(T_a), c_HOL_Ozero__class_Ozero(T_a)), V_c)) | ~hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(T_a), V_a), V_b)) )).
% 12.73/12.90 cnf(matrix-714, plain, ( ~class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(T_a) | ( hAPP(hAPP(c_HOL_Oplus__class_Oplus(T_a), hAPP(hAPP(c_Orderings_Oord__class_Omax(T_a), V_x), V_y)), V_z) = hAPP(hAPP(c_Orderings_Oord__class_Omax(T_a), hAPP(hAPP(c_HOL_Oplus__class_Oplus(T_a), V_x), V_z)), hAPP(hAPP(c_HOL_Oplus__class_Oplus(T_a), V_y), V_z))) )).
% 12.73/12.90 cnf(matrix-715, plain, ( ( V_x = V_y) | hBOOL(hAPP(hAPP(V_less, V_x), V_y)) | ~hBOOL(hAPP(hAPP(V_less__eq, V_x), V_y)) | ~c_Orderings_Olinorder(V_less__eq, V_less, T_a) )).
% 12.73/12.90 cnf(matrix-716, plain, ( ( V_x = V_y) | ~hBOOL(hAPP(hAPP(V_less__eq, V_x), V_y)) | hBOOL(hAPP(hAPP(V_less, V_x), V_y)) | ~c_Orderings_Olinorder(V_less__eq, V_less, T_a) )).
% 12.73/12.90 cnf(matrix-717, plain, ( ~class_Ring__and__Field_Opordered__semiring(T_a) | hBOOL(hAPP(hAPP(c_lessequals(T_a), hAPP(hAPP(c_HOL_Otimes__class_Otimes(T_a), V_a), V_c)), hAPP(hAPP(c_HOL_Otimes__class_Otimes(T_a), V_b), V_d))) | ~hBOOL(hAPP(hAPP(c_lessequals(T_a), c_HOL_Ozero__class_Ozero(T_a)), V_c)) | ~hBOOL(hAPP(hAPP(c_lessequals(T_a), c_HOL_Ozero__class_Ozero(T_a)), V_b)) | ~hBOOL(hAPP(hAPP(c_lessequals(T_a), V_c), V_d)) | ~hBOOL(hAPP(hAPP(c_lessequals(T_a), V_a), V_b)) )).
% 12.73/12.90 cnf(matrix-718, plain, ( ~class_Ring__and__Field_Opordered__semiring(T_a) | hBOOL(hAPP(hAPP(c_lessequals(T_a), hAPP(hAPP(c_HOL_Otimes__class_Otimes(T_a), V_a), V_c)), hAPP(hAPP(c_HOL_Otimes__class_Otimes(T_a), V_b), V_d))) | ~hBOOL(hAPP(hAPP(c_lessequals(T_a), c_HOL_Ozero__class_Ozero(T_a)), V_c)) | ~hBOOL(hAPP(hAPP(c_lessequals(T_a), c_HOL_Ozero__class_Ozero(T_a)), V_a)) | ~hBOOL(hAPP(hAPP(c_lessequals(T_a), V_c), V_d)) | ~hBOOL(hAPP(hAPP(c_lessequals(T_a), V_a), V_b)) )).
% 12.73/12.90 cnf(matrix-719, plain, ( ~class_Orderings_Olinorder(T_a) | ( hAPP(hAPP(c_Orderings_Oord__class_Omax(T_a), hAPP(hAPP(c_Orderings_Oord__class_Omax(T_a), V_x), V_y)), V_z) = hAPP(hAPP(c_Orderings_Oord__class_Omax(T_a), V_x), hAPP(hAPP(c_Orderings_Oord__class_Omax(T_a), V_y), V_z))) )).
% 12.73/12.90 cnf(matrix-720, plain, ( ~class_Orderings_Olinorder(T_a) | ( hAPP(hAPP(c_Orderings_Oord__class_Omax(T_a), V_x), hAPP(hAPP(c_Orderings_Oord__class_Omax(T_a), V_y), V_z)) = hAPP(hAPP(c_Orderings_Oord__class_Omax(T_a), V_y), hAPP(hAPP(c_Orderings_Oord__class_Omax(T_a), V_x), V_z))) )).
% 12.73/12.90 cnf(matrix-721, plain, ( hBOOL(hAPP(V_B, V_x)) | ~hBOOL(hAPP(hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(T_a, tc_bool)), V_A), V_B), V_x)) )).
% 12.73/12.90 cnf(matrix-722, plain, ( hBOOL(hAPP(V_A, V_x)) | ~hBOOL(hAPP(hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(T_a, tc_bool)), V_A), V_B), V_x)) )).
% 12.73/12.90 cnf(matrix-723, plain, ( ( c_Fun_Ofun__upd(V_f, V_x, V_y, T_a, T_b) != V_f) | ( hAPP(V_f, V_x) = V_y) )).
% 12.73/12.90 cnf(matrix-724, plain, ( ~class_Ring__and__Field_Ocomm__semiring__1(T_a) | ( hAPP(hAPP(c_HOL_Oplus__class_Oplus(T_a), hAPP(hAPP(c_HOL_Otimes__class_Otimes(T_a), V_a), V_m)), hAPP(hAPP(c_HOL_Otimes__class_Otimes(T_a), V_b), V_m)) = hAPP(hAPP(c_HOL_Otimes__class_Otimes(T_a), hAPP(hAPP(c_HOL_Oplus__class_Oplus(T_a), V_a), V_b)), V_m)) )).
% 12.73/12.90 cnf(matrix-725, plain, ( ~class_Ring__and__Field_Ocomm__semiring__1(T_a) | ( hAPP(hAPP(c_HOL_Oplus__class_Oplus(T_a), c_HOL_Ozero__class_Ozero(T_a)), V_x) = V_x) )).
% 12.73/12.90 cnf(matrix-726, plain, ( ~class_OrderedGroup_Ocomm__monoid__add(T_a) | ( hAPP(hAPP(c_HOL_Oplus__class_Oplus(T_a), c_HOL_Ozero__class_Ozero(T_a)), V_a) = V_a) )).
% 12.73/12.90 cnf(matrix-727, plain, ( ~class_Ring__and__Field_Oidom(T_a) | ~class_Int_Onumber__ring(T_a) | ( V_x = hAPP(hAPP(c_HOL_Oplus__class_Oplus(T_a), V_x), c_HOL_Ozero__class_Ozero(T_a))) )).
% 12.73/12.90 cnf(matrix-728, plain, ( ~class_OrderedGroup_Ocomm__monoid__add(T_a) | ( hAPP(hAPP(c_HOL_Oplus__class_Oplus(T_a), V_a), c_HOL_Ozero__class_Ozero(T_a)) = V_a) )).
% 12.73/12.90 cnf(matrix-729, plain, ( ~class_OrderedGroup_Omonoid__add(T_a) | ( hAPP(hAPP(c_HOL_Oplus__class_Oplus(T_a), c_HOL_Ozero__class_Ozero(T_a)), V_a) = V_a) )).
% 12.73/12.90 cnf(matrix-730, plain, ( ~class_OrderedGroup_Omonoid__add(T_a) | ( hAPP(hAPP(c_HOL_Oplus__class_Oplus(T_a), V_a), c_HOL_Ozero__class_Ozero(T_a)) = V_a) )).
% 12.73/12.90 cnf(matrix-731, plain, ( ~class_Ring__and__Field_Ocomm__semiring__1(T_a) | ( hAPP(hAPP(c_HOL_Oplus__class_Oplus(T_a), V_a), c_HOL_Ozero__class_Ozero(T_a)) = V_a) )).
% 12.73/12.90 cnf(matrix-732, plain, ( ~class_Ring__and__Field_Ocomm__semiring__1(T_a) | ( hAPP(hAPP(c_HOL_Oplus__class_Oplus(T_a), c_HOL_Ozero__class_Ozero(T_a)), V_a) = V_a) )).
% 12.73/12.90 cnf(matrix-733, plain, ( ~class_Ring__and__Field_Oordered__ring__strict(T_a) | ~hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(T_a), c_HOL_Ozero__class_Ozero(T_a)), hAPP(hAPP(c_HOL_Oplus__class_Oplus(T_a), hAPP(hAPP(c_HOL_Otimes__class_Otimes(T_a), c_HOL_Ozero__class_Ozero(T_a)), c_HOL_Ozero__class_Ozero(T_a))), hAPP(hAPP(c_HOL_Otimes__class_Otimes(T_a), c_HOL_Ozero__class_Ozero(T_a)), c_HOL_Ozero__class_Ozero(T_a))))) )).
% 12.73/12.90 cnf(matrix-734, plain, ( ~class_Orderings_Olinorder(T_a) | ( hAPP(hAPP(c_Orderings_Oord__class_Omax(T_a), V_x), hAPP(hAPP(c_Orderings_Oord__class_Omax(T_a), V_x), V_y)) = hAPP(hAPP(c_Orderings_Oord__class_Omax(T_a), V_x), V_y)) )).
% 12.73/12.90 cnf(matrix-735, plain, ( ~class_Ring__and__Field_Oordered__ring__strict(T_a) | hBOOL(hAPP(hAPP(c_lessequals(T_a), V_a), c_HOL_Ozero__class_Ozero(T_a))) | hBOOL(hAPP(hAPP(c_lessequals(T_a), c_HOL_Ozero__class_Ozero(T_a)), V_a)) | ~hBOOL(hAPP(hAPP(c_lessequals(T_a), c_HOL_Ozero__class_Ozero(T_a)), hAPP(hAPP(c_HOL_Otimes__class_Otimes(T_a), V_a), V_b))) )).
% 12.73/12.90 cnf(matrix-736, plain, ( ~class_Ring__and__Field_Oordered__ring__strict(T_a) | hBOOL(hAPP(hAPP(c_lessequals(T_a), V_b), c_HOL_Ozero__class_Ozero(T_a))) | hBOOL(hAPP(hAPP(c_lessequals(T_a), c_HOL_Ozero__class_Ozero(T_a)), V_a)) | ~hBOOL(hAPP(hAPP(c_lessequals(T_a), c_HOL_Ozero__class_Ozero(T_a)), hAPP(hAPP(c_HOL_Otimes__class_Otimes(T_a), V_a), V_b))) )).
% 12.73/12.90 cnf(matrix-737, plain, ( ~class_Ring__and__Field_Oordered__ring__strict(T_a) | hBOOL(hAPP(hAPP(c_lessequals(T_a), V_a), c_HOL_Ozero__class_Ozero(T_a))) | hBOOL(hAPP(hAPP(c_lessequals(T_a), c_HOL_Ozero__class_Ozero(T_a)), V_b)) | ~hBOOL(hAPP(hAPP(c_lessequals(T_a), c_HOL_Ozero__class_Ozero(T_a)), hAPP(hAPP(c_HOL_Otimes__class_Otimes(T_a), V_a), V_b))) )).
% 12.73/12.90 cnf(matrix-738, plain, ( ~class_Ring__and__Field_Oordered__ring__strict(T_a) | hBOOL(hAPP(hAPP(c_lessequals(T_a), V_b), c_HOL_Ozero__class_Ozero(T_a))) | hBOOL(hAPP(hAPP(c_lessequals(T_a), c_HOL_Ozero__class_Ozero(T_a)), V_b)) | ~hBOOL(hAPP(hAPP(c_lessequals(T_a), c_HOL_Ozero__class_Ozero(T_a)), hAPP(hAPP(c_HOL_Otimes__class_Otimes(T_a), V_a), V_b))) )).
% 12.73/12.90 cnf(matrix-739, plain, ( ~class_OrderedGroup_Ogroup__add(T_a) | ( c_HOL_Ominus__class_Ominus(hAPP(hAPP(c_HOL_Oplus__class_Oplus(T_a), V_a), V_b), V_b, T_a) = V_a) )).
% 12.73/12.90 cnf(matrix-740, plain, ( ~class_Orderings_Oorder(T_a) | hBOOL(hAPP(hAPP(c_lessequals(T_a), V_c), V_a)) | ~hBOOL(hAPP(hAPP(c_lessequals(T_a), V_a), V_b)) | ~hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(tc_fun(T_a, tc_bool)), c_SetInterval_Oord__class_OatLeastAtMost(V_a, V_b, T_a)), c_SetInterval_Oord__class_OatLeastAtMost(V_c, V_d, T_a))) )).
% 12.73/12.90 cnf(matrix-741, plain, ( ~class_Orderings_Oorder(T_a) | hBOOL(hAPP(hAPP(c_lessequals(T_a), V_b), V_d)) | ~hBOOL(hAPP(hAPP(c_lessequals(T_a), V_a), V_b)) | ~hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(tc_fun(T_a, tc_bool)), c_SetInterval_Oord__class_OatLeastAtMost(V_a, V_b, T_a)), c_SetInterval_Oord__class_OatLeastAtMost(V_c, V_d, T_a))) )).
% 12.73/12.90 cnf(matrix-742, plain, ( hBOOL(hAPP(hAPP(V_less__eq, c_Finite__Set_Ofold(V_inf, V_b, V_A, T_a, T_a)), hAPP(hAPP(V_inf, V_a), V_b))) | ~hBOOL(hAPP(hAPP(c_in(T_a), V_a), V_A)) | ~c_Finite__Set_Ofinite(V_A, T_a) | ~c_Lattices_Olower__semilattice(V_less__eq, V_less, V_inf, T_a) )).
% 12.73/12.90 cnf(matrix-743, plain, ( ( hAPP(hAPP(V_f, V_x), c_Finite__Set_Ofold(V_f, V_z, V_A, T_a, T_b)) = c_Finite__Set_Ofold(V_f, hAPP(hAPP(V_f, V_x), V_z), V_A, T_a, T_b)) | ~c_Finite__Set_Ofinite(V_A, T_a) | ~c_Finite__Set_Ofun__left__comm(V_f, T_a, T_b) )).
% 12.73/12.90 cnf(matrix-744, plain, ( ~class_Lattices_Oupper__semilattice(T_a) | hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(T_a), V_x), hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(T_a), V_a), V_b))) | ~hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(T_a), V_x), V_a)) )).
% 12.73/12.90 cnf(matrix-745, plain, ( ~class_Lattices_Oupper__semilattice(T_a) | hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(T_a), V_x), hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(T_a), V_a), V_b))) | ~hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(T_a), V_x), V_b)) )).
% 12.73/12.90 cnf(matrix-746, plain, ( ~class_OrderedGroup_Opordered__cancel__ab__semigroup__add(T_a) | hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(T_a), hAPP(hAPP(c_HOL_Oplus__class_Oplus(T_a), V_a), V_c)), hAPP(hAPP(c_HOL_Oplus__class_Oplus(T_a), V_b), V_d))) | ~hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(T_a), V_c), V_d)) | ~hBOOL(hAPP(hAPP(c_lessequals(T_a), V_a), V_b)) )).
% 12.73/12.90 cnf(matrix-747, plain, ( ~class_OrderedGroup_Opordered__cancel__ab__semigroup__add(T_a) | hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(T_a), hAPP(hAPP(c_HOL_Oplus__class_Oplus(T_a), V_a), V_c)), hAPP(hAPP(c_HOL_Oplus__class_Oplus(T_a), V_b), V_d))) | ~hBOOL(hAPP(hAPP(c_lessequals(T_a), V_c), V_d)) | ~hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(T_a), V_a), V_b)) )).
% 12.73/12.90 cnf(matrix-748, plain, ( ( c_Set_Ovimage(V_f, hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(T_b, tc_bool)), V_A), V_B), T_a, T_b) = hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(T_a, tc_bool)), c_Set_Ovimage(V_f, V_A, T_a, T_b)), c_Set_Ovimage(V_f, V_B, T_a, T_b))) )).
% 12.73/12.90 cnf(matrix-749, plain, ( hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(tc_nat), c_Suc(V_x)), c_Suc(V_n))) | ~hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(tc_nat), V_x), V_n)) )).
% 12.73/12.90 cnf(matrix-750, plain, ( hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(tc_nat), V_m), V_n)) | ~hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(tc_nat), c_Suc(V_m)), c_Suc(V_n))) )).
% 12.73/12.90 cnf(matrix-751, plain, ( hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(tc_nat), c_Suc(V_m)), c_Suc(V_n))) | ~hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(tc_nat), V_m), V_n)) )).
% 12.73/12.90 cnf(matrix-752, plain, ( ~class_OrderedGroup_Olordered__ab__group__add(T_a) | hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(T_a), c_HOL_Ozero__class_Ozero(T_a)), V_a)) | ~hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(T_a), c_HOL_Ozero__class_Ozero(T_a)), hAPP(hAPP(c_HOL_Oplus__class_Oplus(T_a), V_a), V_a))) )).
% 12.73/12.90 cnf(matrix-753, plain, ( ~class_OrderedGroup_Olordered__ab__group__add(T_a) | hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(T_a), c_HOL_Ozero__class_Ozero(T_a)), hAPP(hAPP(c_HOL_Oplus__class_Oplus(T_a), V_a), V_a))) | ~hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(T_a), c_HOL_Ozero__class_Ozero(T_a)), V_a)) )).
% 12.73/12.90 cnf(matrix-754, plain, ( c_Finite__Set_Ofinite(hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(T_a, tc_bool)), V_F), V_G), T_a) | ~c_Finite__Set_Ofinite(V_G, T_a) )).
% 12.73/12.90 cnf(matrix-755, plain, ( c_Finite__Set_Ofinite(hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(T_a, tc_bool)), V_F), V_G), T_a) | ~c_Finite__Set_Ofinite(V_F, T_a) )).
% 12.73/12.90 cnf(matrix-756, plain, ( ~class_HOL_Oord(T_b) | hBOOL(hAPP(hAPP(c_lessequals(T_b), hAPP(V_f, V_x)), hAPP(V_g, V_x))) | ~hBOOL(hAPP(hAPP(c_lessequals(tc_fun(T_a, T_b)), V_f), V_g)) )).
% 12.73/12.90 cnf(matrix-757, plain, ( hBOOL(hAPP(hAPP(c_in(T_a), V_c), hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(T_a, tc_bool)), V_A), V_B))) | ~hBOOL(hAPP(hAPP(c_in(T_a), V_c), V_B)) | ~hBOOL(hAPP(hAPP(c_in(T_a), V_c), V_A)) )).
% 12.73/12.90 cnf(matrix-758, plain, ( hBOOL(hAPP(hAPP(c_in(T_a), V_c), hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(T_a, tc_bool)), V_A), V_B))) | ~hBOOL(hAPP(hAPP(c_in(T_a), V_c), V_B)) | ~hBOOL(hAPP(hAPP(c_in(T_a), V_c), V_A)) )).
% 12.73/12.90 cnf(matrix-759, plain, ( hBOOL(hAPP(hAPP(c_in(T_a), V_t), V_B)) | ~hBOOL(hAPP(hAPP(c_in(T_a), V_t), V_A)) | ~hBOOL(hAPP(hAPP(c_lessequals(tc_fun(T_a, tc_bool)), V_A), V_B)) )).
% 12.73/12.90 cnf(matrix-760, plain, ( hBOOL(hAPP(hAPP(c_in(T_a), V_x), V_B)) | ~hBOOL(hAPP(hAPP(c_lessequals(tc_fun(T_a, tc_bool)), V_A), V_B)) | ~hBOOL(hAPP(hAPP(c_in(T_a), V_x), V_A)) )).
% 12.73/12.90 cnf(matrix-761, plain, ( hBOOL(hAPP(hAPP(c_in(T_a), V_c), V_B)) | ~hBOOL(hAPP(hAPP(c_in(T_a), V_c), V_A)) | ~hBOOL(hAPP(hAPP(c_lessequals(tc_fun(T_a, tc_bool)), V_A), V_B)) )).
% 12.73/12.90 cnf(matrix-762, plain, ( hBOOL(hAPP(hAPP(c_in(T_a), V_x), V_B)) | ~hBOOL(hAPP(hAPP(c_in(T_a), V_x), V_A)) | ~hBOOL(hAPP(hAPP(c_lessequals(tc_fun(T_a, tc_bool)), V_A), V_B)) )).
% 12.73/12.90 cnf(matrix-763, plain, ( ( hAPP(c_Map_Orestrict__map(V_m, V_A, T_a, T_b), V_x) = hAPP(V_m, V_x)) | ~hBOOL(hAPP(hAPP(c_in(T_a), V_x), V_A)) )).
% 12.73/12.90 cnf(matrix-764, plain, ( hBOOL(hAPP(hAPP(c_in(T_a), V_c), V_B)) | ~hBOOL(hAPP(hAPP(c_in(T_a), V_c), V_A)) | ~hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(tc_fun(T_a, tc_bool)), V_A), V_B)) )).
% 12.73/12.90 cnf(matrix-765, plain, ( hBOOL(hAPP(hAPP(c_in(T_a), V_c), V_B)) | ~hBOOL(hAPP(hAPP(c_in(T_a), V_c), hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(T_a, tc_bool)), V_A), V_B))) )).
% 12.73/12.90 cnf(matrix-766, plain, ( hBOOL(hAPP(hAPP(c_in(T_a), V_c), V_A)) | ~hBOOL(hAPP(hAPP(c_in(T_a), V_c), hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(T_a, tc_bool)), V_A), V_B))) )).
% 12.73/12.90 cnf(matrix-767, plain, ( ( hAPP(c_COMBC(c_in(T_a), T_a, tc_fun(T_a, tc_bool), tc_bool), V_R) != hAPP(c_COMBC(c_in(T_a), T_a, tc_fun(T_a, tc_bool), tc_bool), V_S)) | ( V_R = V_S) )).
% 12.73/12.90 cnf(matrix-768, plain, ( ~class_OrderedGroup_Oab__semigroup__mult(T_a) | hBOOL(hAPP(c_Finite__Set_Ofold__graph(c_HOL_Otimes__class_Otimes(T_a), V_z, hAPP(hAPP(c_Set_Oinsert(T_a), V_b), V_A), T_a, T_a), hAPP(hAPP(c_HOL_Otimes__class_Otimes(T_a), V_z), V_y))) | hBOOL(hAPP(hAPP(c_in(T_a), V_b), V_A)) | ~hBOOL(hAPP(c_Finite__Set_Ofold__graph(c_HOL_Otimes__class_Otimes(T_a), V_b, V_A, T_a, T_a), V_y)) )).
% 12.73/12.90 cnf(matrix-769, plain, ( ~hBOOL(hAPP(c_Finite__Set_Ofold__graph(V_f, V_z, V_A, T_aa, T_a), V_xa)) | hBOOL(hAPP(hAPP(c_in(T_aa), V_x), V_A)) | ~c_Finite__Set_Ofun__left__comm(V_f, T_aa, T_a) | hBOOL(hAPP(c_Finite__Set_Ofold__graph(V_f, V_z, hAPP(hAPP(c_Set_Oinsert(T_aa), V_x), V_A), T_aa, T_a), hAPP(hAPP(V_f, V_x), V_xa))) )).
% 12.73/12.90 cnf(matrix-770, plain, ( hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(tc_fun(T_a, tc_bool)), V_A), hAPP(hAPP(c_Set_Oinsert(T_a), V_x), V_B))) | ~hBOOL(hAPP(hAPP(c_lessequals(tc_fun(T_a, tc_bool)), V_A), V_B)) | hBOOL(hAPP(hAPP(c_in(T_a), V_x), V_A)) | ~hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(tc_fun(T_a, tc_bool)), V_A), V_B)) )).
% 12.73/12.90 cnf(matrix-771, plain, ( hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(tc_fun(T_a, tc_bool)), V_A), hAPP(hAPP(c_Set_Oinsert(T_a), V_x), V_B))) | ~hBOOL(hAPP(hAPP(c_lessequals(tc_fun(T_a, tc_bool)), V_A), V_B)) | hBOOL(hAPP(hAPP(c_in(T_a), V_x), V_A)) | hBOOL(hAPP(hAPP(c_in(T_a), V_x), V_B)) )).
% 12.73/12.90 cnf(matrix-772, plain, ( hBOOL(hAPP(hAPP(c_lessequals(tc_fun(T_a, tc_bool)), V_A), V_B)) | hBOOL(hAPP(hAPP(c_in(T_a), V_x), V_A)) | hBOOL(hAPP(hAPP(c_in(T_a), V_x), V_B)) | ~hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(tc_fun(T_a, tc_bool)), V_A), hAPP(hAPP(c_Set_Oinsert(T_a), V_x), V_B))) )).
% 12.73/12.90 cnf(matrix-773, plain, ( ~class_OrderedGroup_Ocomm__monoid__add(T_a) | hBOOL(hAPP(c_Finite__Set_Ofold__graph(c_HOL_Oplus__class_Oplus(T_a), V_z, hAPP(hAPP(c_Set_Oinsert(T_a), V_b), V_A), T_a, T_a), hAPP(hAPP(c_HOL_Oplus__class_Oplus(T_a), V_z), V_y))) | hBOOL(hAPP(hAPP(c_in(T_a), V_b), V_A)) | ~hBOOL(hAPP(c_Finite__Set_Ofold__graph(c_HOL_Oplus__class_Oplus(T_a), V_b, V_A, T_a, T_a), V_y)) )).
% 12.73/12.90 cnf(matrix-774, plain, ( ~class_Lattices_Obounded__lattice(T_a) | ( hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(T_a), c_Orderings_Obot__class_Obot(T_a)), V_x) = c_Orderings_Obot__class_Obot(T_a)) )).
% 12.73/12.90 cnf(matrix-775, plain, ( ~class_Lattices_Obounded__lattice(T_a) | ( hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(T_a), V_x), c_Orderings_Obot__class_Obot(T_a)) = c_Orderings_Obot__class_Obot(T_a)) )).
% 12.73/12.90 cnf(matrix-776, plain, ( ~class_Orderings_Obot(T_a) | hBOOL(hAPP(hAPP(c_lessequals(T_a), c_Orderings_Obot__class_Obot(T_a)), V_x)) )).
% 12.73/12.90 cnf(matrix-777, plain, ( ( c_Finite__Set_Ofold__image(V_f, V_g, V_z, c_Orderings_Obot__class_Obot(tc_fun(T_b, tc_bool)), T_a, T_b) = V_z) )).
% 12.73/12.90 cnf(matrix-778, plain, ( ( c_Finite__Set_Ofold(V_f, V_z, c_Orderings_Obot__class_Obot(tc_fun(T_b, tc_bool)), T_b, T_a) = V_z) )).
% 12.73/12.90 cnf(matrix-779, plain, ( hBOOL(hAPP(hAPP(c_lessequals(tc_fun(T_a, tc_bool)), c_Orderings_Obot__class_Obot(tc_fun(T_a, tc_bool))), c_Orderings_Obot__class_Obot(tc_fun(T_a, tc_bool)))) )).
% 12.73/12.90 cnf(matrix-780, plain, ( ( V_A = c_Orderings_Obot__class_Obot(tc_fun(T_a, tc_bool))) | ~hBOOL(hAPP(hAPP(c_lessequals(tc_fun(T_a, tc_bool)), V_A), c_Orderings_Obot__class_Obot(tc_fun(T_a, tc_bool)))) )).
% 12.73/12.90 cnf(matrix-781, plain, ( ~hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(tc_fun(T_a, tc_bool)), V_A), c_Orderings_Obot__class_Obot(tc_fun(T_a, tc_bool)))) )).
% 12.73/12.90 cnf(matrix-782, plain, ( ( V_x = V_z) | ~hBOOL(hAPP(c_Finite__Set_Ofold__graph(V_f, V_z, c_Orderings_Obot__class_Obot(tc_fun(T_a, tc_bool)), T_a, T_b), V_x)) )).
% 12.73/12.90 cnf(matrix-783, plain, ( ( hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(T_a, tc_bool)), V_A), c_Orderings_Obot__class_Obot(tc_fun(T_a, tc_bool))) = c_Orderings_Obot__class_Obot(tc_fun(T_a, tc_bool))) )).
% 12.73/12.90 cnf(matrix-784, plain, ( ( hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(T_a, tc_bool)), c_Orderings_Obot__class_Obot(tc_fun(T_a, tc_bool))), V_B) = c_Orderings_Obot__class_Obot(tc_fun(T_a, tc_bool))) )).
% 12.73/12.90 cnf(matrix-785, plain, ( hBOOL(hAPP(hAPP(c_lessequals(tc_fun(T_a, tc_bool)), c_Orderings_Obot__class_Obot(tc_fun(T_a, tc_bool))), V_A)) )).
% 12.73/12.90 cnf(matrix-786, plain, ( hBOOL(hAPP(c_Finite__Set_Ofold__graph(V_f, V_z, c_Orderings_Obot__class_Obot(tc_fun(T_a, tc_bool)), T_a, T_b), V_z)) )).
% 12.73/12.90 cnf(matrix-787, plain, ( c_Nitpick_Ofold__graph_H(V_f, V_z, c_Orderings_Obot__class_Obot(tc_fun(T_a, tc_bool)), V_z, T_a, T_b) )).
% 12.73/12.90 cnf(matrix-788, plain, ( ( hAPP(hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(t_a, tc_bool)), hAPP(c_COMBC(c_in(t_a), t_a, tc_fun(t_a, tc_bool), tc_bool), V_R)), hAPP(c_COMBC(c_in(t_a), t_a, tc_fun(t_a, tc_bool), tc_bool), V_S)), v_x) = hAPP(hAPP(c_in(t_a), v_x), hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(t_a, tc_bool)), V_R), V_S))) )).
% 12.73/12.90 cnf(matrix-789, plain, ( hBOOL(hAPP(hAPP(c_lessequals(tc_fun(T_a, tc_bool)), hAPP(hAPP(c_Set_Oinsert(T_a), V_a), V_C)), hAPP(hAPP(c_Set_Oinsert(T_a), V_a), V_D))) | ~hBOOL(hAPP(hAPP(c_lessequals(tc_fun(T_a, tc_bool)), V_C), V_D)) )).
% 12.73/12.90 cnf(matrix-790, plain, ( hBOOL(hAPP(hAPP(c_lessequals(tc_fun(T_a, tc_bool)), V_B), hAPP(hAPP(c_Set_Oinsert(T_a), V_a), V_B))) )).
% 12.73/12.90 cnf(matrix-791, plain, ( ( hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(T_a, tc_bool)), hAPP(hAPP(c_Set_Oinsert(T_a), V_a), V_A)), hAPP(hAPP(c_Set_Oinsert(T_a), V_a), V_B)) = hAPP(hAPP(c_Set_Oinsert(T_a), V_a), hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(T_a, tc_bool)), V_A), V_B))) )).
% 12.73/12.90 cnf(matrix-792, plain, ( hBOOL(hAPP(hAPP(c_lessequals(tc_fun(T_a, tc_bool)), V_A), hAPP(hAPP(c_Set_Oinsert(T_a), V_b), V_B))) | ~hBOOL(hAPP(hAPP(c_lessequals(tc_fun(T_a, tc_bool)), V_A), V_B)) )).
% 12.73/12.90 cnf(matrix-793, plain, ( hBOOL(hAPP(hAPP(c_lessequals(tc_fun(T_a, tc_bool)), V_A), V_B)) | ~hBOOL(hAPP(hAPP(c_lessequals(tc_fun(T_a, tc_bool)), hAPP(hAPP(c_Set_Oinsert(T_a), V_x), V_A)), V_B)) )).
% 12.73/12.90 cnf(matrix-794, plain, ( ~class_Complete__Lattice_Ocomplete__lattice(T_a) | hBOOL(hAPP(hAPP(c_lessequals(T_a), V_x), c_Complete__Lattice_OSup__class_OSup(V_A, T_a))) | ~hBOOL(hAPP(hAPP(c_in(T_a), V_x), V_A)) )).
% 12.73/12.90 cnf(matrix-795, plain, ( ~class_OrderedGroup_Oab__semigroup__mult(T_a) | ( hAPP(hAPP(c_HOL_Otimes__class_Otimes(T_a), hAPP(hAPP(c_HOL_Otimes__class_Otimes(T_a), V_a), V_b)), V_c) = hAPP(hAPP(c_HOL_Otimes__class_Otimes(T_a), V_a), hAPP(hAPP(c_HOL_Otimes__class_Otimes(T_a), V_b), V_c))) )).
% 12.73/12.90 cnf(matrix-796, plain, ( ~class_Ring__and__Field_Ocomm__semiring__1(T_a) | ( hAPP(hAPP(c_HOL_Otimes__class_Otimes(T_a), hAPP(hAPP(c_HOL_Otimes__class_Otimes(T_a), V_lx), V_ly)), V_rx) = hAPP(hAPP(c_HOL_Otimes__class_Otimes(T_a), hAPP(hAPP(c_HOL_Otimes__class_Otimes(T_a), V_lx), V_rx)), V_ly)) )).
% 12.73/12.90 cnf(matrix-797, plain, ( ~class_Ring__and__Field_Ocomm__semiring__1(T_a) | ( hAPP(hAPP(c_HOL_Otimes__class_Otimes(T_a), hAPP(hAPP(c_HOL_Otimes__class_Otimes(T_a), V_lx), V_ly)), V_rx) = hAPP(hAPP(c_HOL_Otimes__class_Otimes(T_a), V_lx), hAPP(hAPP(c_HOL_Otimes__class_Otimes(T_a), V_ly), V_rx))) )).
% 12.73/12.90 cnf(matrix-798, plain, ( ~class_Ring__and__Field_Ocomm__semiring__1(T_a) | ( hAPP(hAPP(c_HOL_Otimes__class_Otimes(T_a), V_lx), hAPP(hAPP(c_HOL_Otimes__class_Otimes(T_a), V_rx), V_ry)) = hAPP(hAPP(c_HOL_Otimes__class_Otimes(T_a), hAPP(hAPP(c_HOL_Otimes__class_Otimes(T_a), V_lx), V_rx)), V_ry)) )).
% 12.73/12.90 cnf(matrix-799, plain, ( ~class_Ring__and__Field_Ocomm__semiring__1(T_a) | ( hAPP(hAPP(c_HOL_Otimes__class_Otimes(T_a), V_lx), hAPP(hAPP(c_HOL_Otimes__class_Otimes(T_a), V_rx), V_ry)) = hAPP(hAPP(c_HOL_Otimes__class_Otimes(T_a), V_rx), hAPP(hAPP(c_HOL_Otimes__class_Otimes(T_a), V_lx), V_ry))) )).
% 12.73/12.90 cnf(matrix-800, plain, ( ~class_Ring__and__Field_Ocomm__semiring__1(T_a) | ( hAPP(hAPP(c_HOL_Otimes__class_Otimes(T_a), V_x), hAPP(hAPP(c_HOL_Otimes__class_Otimes(T_a), V_y), V_z)) = hAPP(hAPP(c_HOL_Otimes__class_Otimes(T_a), hAPP(hAPP(c_HOL_Otimes__class_Otimes(T_a), V_x), V_y)), V_z)) )).
% 12.73/12.90 cnf(matrix-801, plain, ( ~class_Ring__and__Field_Ocomm__semiring__1(T_a) | ( hAPP(hAPP(c_HOL_Otimes__class_Otimes(T_a), hAPP(hAPP(c_HOL_Oplus__class_Oplus(T_a), V_a), V_b)), V_c) = hAPP(hAPP(c_HOL_Oplus__class_Oplus(T_a), hAPP(hAPP(c_HOL_Otimes__class_Otimes(T_a), V_a), V_c)), hAPP(hAPP(c_HOL_Otimes__class_Otimes(T_a), V_b), V_c))) )).
% 12.73/12.90 cnf(matrix-802, plain, ( ~class_Ring__and__Field_Ocomm__semiring(T_a) | ( hAPP(hAPP(c_HOL_Otimes__class_Otimes(T_a), hAPP(hAPP(c_HOL_Oplus__class_Oplus(T_a), V_a), V_b)), V_c) = hAPP(hAPP(c_HOL_Oplus__class_Oplus(T_a), hAPP(hAPP(c_HOL_Otimes__class_Otimes(T_a), V_a), V_c)), hAPP(hAPP(c_HOL_Otimes__class_Otimes(T_a), V_b), V_c))) )).
% 12.73/12.90 cnf(matrix-803, plain, ( ~class_Ring__and__Field_Ocomm__semiring__1(T_a) | ( hAPP(hAPP(c_HOL_Otimes__class_Otimes(T_a), V_x), hAPP(hAPP(c_HOL_Oplus__class_Oplus(T_a), V_y), V_z)) = hAPP(hAPP(c_HOL_Oplus__class_Oplus(T_a), hAPP(hAPP(c_HOL_Otimes__class_Otimes(T_a), V_x), V_y)), hAPP(hAPP(c_HOL_Otimes__class_Otimes(T_a), V_x), V_z))) )).
% 12.73/12.90 cnf(matrix-804, plain, ( ~class_Orderings_Oorder(T_a) | ~hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(T_a), V_a), V_b)) | ~hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(T_a), V_b), V_a)) )).
% 12.73/12.90 cnf(matrix-805, plain, ( ~class_Orderings_Olinorder(T_a) | ~hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(T_a), V_x), V_y)) | ~hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(T_a), V_y), V_x)) )).
% 12.73/12.90 cnf(matrix-806, plain, ( ~class_Orderings_Olinorder(T_a) | hBOOL(hAPP(hAPP(c_lessequals(T_a), V_y), V_x)) | hBOOL(hAPP(hAPP(c_lessequals(T_a), V_x), V_y)) )).
% 12.73/12.90 cnf(matrix-807, plain, ( ~class_Orderings_Opreorder(T_a) | ~hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(T_a), V_y), V_x)) | ~hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(T_a), V_x), V_y)) )).
% 12.73/12.90 cnf(matrix-808, plain, ( ~class_Orderings_Opreorder(T_a) | ~hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(T_a), V_b), V_a)) | ~hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(T_a), V_a), V_b)) )).
% 12.73/12.90 cnf(matrix-809, plain, ( ~class_OrderedGroup_Ocomm__monoid__add(T_b) | ( c_Finite__Set_Ofold__image(c_HOL_Oplus__class_Oplus(T_b), V_g, V_z, hAPP(hAPP(c_Set_Oinsert(T_a), V_a), V_A), T_b, T_a) = hAPP(hAPP(c_HOL_Oplus__class_Oplus(T_b), hAPP(V_g, V_a)), c_Finite__Set_Ofold__image(c_HOL_Oplus__class_Oplus(T_b), V_g, V_z, V_A, T_b, T_a))) | hBOOL(hAPP(hAPP(c_in(T_a), V_a), V_A)) | ~c_Finite__Set_Ofinite(V_A, T_a) )).
% 12.73/12.90 cnf(matrix-810, plain, ( ( c_Finite__Set_Ofold(V_f, V_z, hAPP(hAPP(c_Set_Oinsert(T_a), V_x), V_A), T_a, T_b) = c_Finite__Set_Ofold(V_f, hAPP(hAPP(V_f, V_x), V_z), V_A, T_a, T_b)) | hBOOL(hAPP(hAPP(c_in(T_a), V_x), V_A)) | ~c_Finite__Set_Ofinite(V_A, T_a) | ~c_Finite__Set_Ofun__left__comm(V_f, T_a, T_b) )).
% 12.73/12.90 cnf(matrix-811, plain, ( ( c_Finite__Set_Ofold(V_f, V_z, hAPP(hAPP(c_Set_Oinsert(T_a), V_x), V_A), T_a, T_b) = hAPP(hAPP(V_f, V_x), c_Finite__Set_Ofold(V_f, V_z, V_A, T_a, T_b))) | hBOOL(hAPP(hAPP(c_in(T_a), V_x), V_A)) | ~c_Finite__Set_Ofinite(V_A, T_a) | ~c_Finite__Set_Ofun__left__comm(V_f, T_a, T_b) )).
% 12.73/12.90 cnf(matrix-812, plain, ( ( c_Finite__Set_Ocard(hAPP(hAPP(c_Set_Oinsert(T_a), V_x), V_A), T_a) = c_Suc(c_Finite__Set_Ocard(V_A, T_a))) | hBOOL(hAPP(hAPP(c_in(T_a), V_x), V_A)) | ~c_Finite__Set_Ofinite(V_A, T_a) )).
% 12.73/12.90 cnf(matrix-813, plain, ( ~class_OrderedGroup_Ocomm__monoid__add(T_b) | ( c_Finite__Set_Osetsum(V_f, hAPP(hAPP(c_Set_Oinsert(T_a), V_a), V_F), T_a, T_b) = hAPP(hAPP(c_HOL_Oplus__class_Oplus(T_b), hAPP(V_f, V_a)), c_Finite__Set_Osetsum(V_f, V_F, T_a, T_b))) | hBOOL(hAPP(hAPP(c_in(T_a), V_a), V_F)) | ~c_Finite__Set_Ofinite(V_F, T_a) )).
% 12.73/12.90 cnf(matrix-814, plain, ( ~class_OrderedGroup_Oab__semigroup__mult(T_b) | ( c_Finite__Set_Ofold__image(c_HOL_Otimes__class_Otimes(T_b), V_g, V_z, hAPP(hAPP(c_Set_Oinsert(T_a), V_a), V_A), T_b, T_a) = hAPP(hAPP(c_HOL_Otimes__class_Otimes(T_b), hAPP(V_g, V_a)), c_Finite__Set_Ofold__image(c_HOL_Otimes__class_Otimes(T_b), V_g, V_z, V_A, T_b, T_a))) | hBOOL(hAPP(hAPP(c_in(T_a), V_a), V_A)) | ~c_Finite__Set_Ofinite(V_A, T_a) )).
% 12.73/12.90 cnf(matrix-815, plain, ( ~class_OrderedGroup_Ocomm__monoid__mult(T_b) | ( c_Finite__Set_Osetprod(V_f, hAPP(hAPP(c_Set_Oinsert(T_a), V_a), V_A), T_a, T_b) = hAPP(hAPP(c_HOL_Otimes__class_Otimes(T_b), hAPP(V_f, V_a)), c_Finite__Set_Osetprod(V_f, V_A, T_a, T_b))) | hBOOL(hAPP(hAPP(c_in(T_a), V_a), V_A)) | ~c_Finite__Set_Ofinite(V_A, T_a) )).
% 12.73/12.90 cnf(matrix-816, plain, ( ~class_Lattices_Oupper__semilattice(T_a) | hBOOL(hAPP(hAPP(c_lessequals(T_a), hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(T_a), V_a), V_b)), c_Finite__Set_Ofold(c_Lattices_Oupper__semilattice__class_Osup(T_a), V_b, V_A, T_a, T_a))) | ~hBOOL(hAPP(hAPP(c_in(T_a), V_a), V_A)) | ~c_Finite__Set_Ofinite(V_A, T_a) )).
% 12.73/12.90 cnf(matrix-817, plain, ( hBOOL(hAPP(hAPP(c_in(T_a), V_x), c_Orderings_Obot__class_Obot(tc_fun(T_a, tc_bool)))) | ( c_Finite__Set_Ocard(hAPP(hAPP(c_Set_Oinsert(T_a), V_x), c_Orderings_Obot__class_Obot(tc_fun(T_a, tc_bool))), T_a) = c_Suc(c_Finite__Set_Ocard(c_Orderings_Obot__class_Obot(tc_fun(T_a, tc_bool)), T_a))) )).
% 12.73/12.90 cnf(matrix-818, plain, ( ~class_Complete__Lattice_Ocomplete__lattice(T_a) | ( c_Complete__Lattice_OSup__class_OSup(V_A, T_a) = c_Finite__Set_Ofold(c_Lattices_Oupper__semilattice__class_Osup(T_a), c_Orderings_Obot__class_Obot(T_a), V_A, T_a, T_a)) | ~c_Finite__Set_Ofinite(V_A, T_a) )).
% 12.73/12.90 cnf(matrix-819, plain, ( ~class_OrderedGroup_Oab__group__add(T_b) | ( c_Finite__Set_Osetsum(V_f, c_HOL_Ominus__class_Ominus(V_A, V_B, tc_fun(T_a, tc_bool)), T_a, T_b) = c_HOL_Ominus__class_Ominus(c_Finite__Set_Osetsum(V_f, V_A, T_a, T_b), c_Finite__Set_Osetsum(V_f, V_B, T_a, T_b), T_b)) | ~hBOOL(hAPP(hAPP(c_lessequals(tc_fun(T_a, tc_bool)), V_B), V_A)) | ~c_Finite__Set_Ofinite(V_A, T_a) )).
% 12.73/12.90 cnf(matrix-820, plain, ( hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(tc_fun(T_a, tc_bool)), V_A), hAPP(hAPP(c_Set_Oinsert(T_a), V_x), V_B))) | ~hBOOL(hAPP(hAPP(c_lessequals(tc_fun(T_a, tc_bool)), V_A), V_B)) | ~hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(tc_fun(T_a, tc_bool)), c_HOL_Ominus__class_Ominus(V_A, hAPP(hAPP(c_Set_Oinsert(T_a), V_x), c_Orderings_Obot__class_Obot(tc_fun(T_a, tc_bool))), tc_fun(T_a, tc_bool))), V_B)) | ~hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(tc_fun(T_a, tc_bool)), V_A), V_B)) )).
% 12.73/12.90 cnf(matrix-821, plain, ( ( c_Fun_Ofun__upd(c_Map_Orestrict__map(V_m, V_D, T_a, T_b), V_x, V_y, T_a, tc_Option_Ooption(T_b)) = c_Fun_Ofun__upd(c_Map_Orestrict__map(V_m, c_HOL_Ominus__class_Ominus(V_D, hAPP(hAPP(c_Set_Oinsert(T_a), V_x), c_Orderings_Obot__class_Obot(tc_fun(T_a, tc_bool))), tc_fun(T_a, tc_bool)), T_a, T_b), V_x, V_y, T_a, tc_Option_Ooption(T_b))) )).
% 12.73/12.90 cnf(matrix-822, plain, ( ~class_Lattices_Olower__semilattice(T_a) | hBOOL(hAPP(hAPP(c_lessequals(T_a), hAPP(c_Finite__Set_Ofold1(c_Lattices_Olower__semilattice__class_Oinf(T_a), T_a), V_A)), V_a)) | ~hBOOL(hAPP(hAPP(c_in(T_a), V_a), V_A)) | ~c_Finite__Set_Ofinite(V_A, T_a) )).
% 12.73/12.90 cnf(matrix-823, plain, ( ( hAPP(c_Finite__Set_Ofold1(V_times, T_a), hAPP(hAPP(c_Set_Oinsert(T_a), V_a), V_A)) = c_Finite__Set_Ofold(V_times, V_a, V_A, T_a, T_a)) | ~c_Finite__Set_Ofinite(V_A, T_a) | ~c_OrderedGroup_Oab__semigroup__idem__mult(V_times, T_a) )).
% 12.73/12.90 cnf(matrix-824, plain, ( ~class_OrderedGroup_Oab__semigroup__idem__mult(T_a) | ( hAPP(c_Finite__Set_Ofold1(c_HOL_Otimes__class_Otimes(T_a), T_a), hAPP(hAPP(c_Set_Oinsert(T_a), V_a), V_A)) = c_Finite__Set_Ofold(c_HOL_Otimes__class_Otimes(T_a), V_a, V_A, T_a, T_a)) | ~c_Finite__Set_Ofinite(V_A, T_a) )).
% 12.73/12.90 cnf(matrix-825, plain, ( ~class_Orderings_Olinorder(T_a) | ( hAPP(c_Finite__Set_Olinorder__class_OMax(T_a), V_A) = V_x) | ~hBOOL(hAPP(hAPP(c_in(T_a), V_x), V_A)) | ~hBOOL(hAPP(hAPP(c_lessequals(T_a), c_ATP__Linkup_Osko__Finite__Set__Xlinorder__class__XMax__eqI__1__1(V_A, V_x, T_a)), V_x)) | ~c_Finite__Set_Ofinite(V_A, T_a) )).
% 12.73/12.90 cnf(matrix-826, plain, ( ~class_Orderings_Olinorder(T_a) | ( hAPP(c_Finite__Set_Olinorder__class_OMin(T_a), V_A) = V_x) | ~hBOOL(hAPP(hAPP(c_in(T_a), V_x), V_A)) | ~hBOOL(hAPP(hAPP(c_lessequals(T_a), V_x), c_ATP__Linkup_Osko__Finite__Set__Xlinorder__class__XMin__eqI__1__1(V_A, V_x, T_a))) | ~c_Finite__Set_Ofinite(V_A, T_a) )).
% 12.73/12.90 cnf(matrix-827, plain, ( ~class_Orderings_Olinorder(T_a) | hBOOL(hAPP(hAPP(c_lessequals(T_a), hAPP(c_Finite__Set_Olinorder__class_OMax(T_a), V_M)), hAPP(c_Finite__Set_Olinorder__class_OMax(T_a), V_N))) | ~c_Finite__Set_Ofinite(V_N, T_a) | ( V_M = c_Orderings_Obot__class_Obot(tc_fun(T_a, tc_bool))) | ~hBOOL(hAPP(hAPP(c_lessequals(tc_fun(T_a, tc_bool)), V_M), V_N)) )).
% 12.73/12.90 cnf(matrix-828, plain, ( ~class_Orderings_Olinorder(T_a) | hBOOL(hAPP(hAPP(c_lessequals(T_a), hAPP(c_Finite__Set_Olinorder__class_OMin(T_a), V_N)), hAPP(c_Finite__Set_Olinorder__class_OMin(T_a), V_M))) | ~c_Finite__Set_Ofinite(V_N, T_a) | ( V_M = c_Orderings_Obot__class_Obot(tc_fun(T_a, tc_bool))) | ~hBOOL(hAPP(hAPP(c_lessequals(tc_fun(T_a, tc_bool)), V_M), V_N)) )).
% 12.73/12.90 cnf(matrix-829, plain, ( ~hBOOL(hAPP(hAPP(c_in(T_a), V_x), V_B)) | ~hBOOL(hAPP(hAPP(c_in(T_a), V_x), V_A)) | ( hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(T_a, tc_bool)), V_A), V_B) != c_Orderings_Obot__class_Obot(tc_fun(T_a, tc_bool))) )).
% 12.73/12.90 cnf(matrix-830, plain, ( hBOOL(hAPP(c_Finite__Set_Ofold__graph(V_f, V_z, hAPP(hAPP(c_Set_Oinsert(T_a), V_x), V_A), T_a, T_b), hAPP(hAPP(V_f, V_x), V_y))) | ~hBOOL(hAPP(c_Finite__Set_Ofold__graph(V_f, V_z, V_A, T_a, T_b), V_y)) | hBOOL(hAPP(hAPP(c_in(T_a), V_x), V_A)) )).
% 12.73/12.90 cnf(matrix-831, plain, ( ( hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(T_a, tc_bool)), hAPP(hAPP(c_Set_Oinsert(T_a), V_a), V_B)), V_C) = hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(T_a, tc_bool)), V_B), V_C)) | hBOOL(hAPP(hAPP(c_in(T_a), V_a), V_C)) )).
% 12.73/12.90 cnf(matrix-832, plain, ( ( hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(T_a, tc_bool)), V_A), hAPP(hAPP(c_Set_Oinsert(T_a), V_a), V_B)) = hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(T_a, tc_bool)), V_A), V_B)) | hBOOL(hAPP(hAPP(c_in(T_a), V_a), V_A)) )).
% 12.73/12.90 cnf(matrix-833, plain, ( hBOOL(hAPP(hAPP(c_lessequals(tc_fun(T_a, tc_bool)), V_A), V_B)) | ~hBOOL(hAPP(hAPP(c_lessequals(tc_fun(T_a, tc_bool)), V_A), hAPP(hAPP(c_Set_Oinsert(T_a), V_x), V_B))) | hBOOL(hAPP(hAPP(c_in(T_a), V_x), V_A)) )).
% 12.73/12.90 cnf(matrix-834, plain, ( hBOOL(hAPP(hAPP(c_lessequals(tc_fun(T_a, tc_bool)), V_A), hAPP(hAPP(c_Set_Oinsert(T_a), V_x), V_B))) | ~hBOOL(hAPP(hAPP(c_lessequals(tc_fun(T_a, tc_bool)), V_A), V_B)) | hBOOL(hAPP(hAPP(c_in(T_a), V_x), V_A)) )).
% 12.73/12.90 cnf(matrix-835, plain, ( hBOOL(hAPP(hAPP(c_lessequals(tc_fun(T_a, tc_bool)), V_A), V_B)) | hBOOL(hAPP(hAPP(c_in(T_a), V_x), V_A)) | ~hBOOL(hAPP(hAPP(c_lessequals(tc_fun(T_a, tc_bool)), V_A), hAPP(hAPP(c_Set_Oinsert(T_a), V_x), V_B))) )).
% 12.73/12.90 cnf(matrix-836, plain, ( hBOOL(hAPP(hAPP(c_lessequals(tc_fun(T_a, tc_bool)), V_A), hAPP(hAPP(c_Set_Oinsert(T_a), V_x), V_B))) | ~hBOOL(hAPP(hAPP(c_lessequals(tc_fun(T_a, tc_bool)), V_A), V_B)) | hBOOL(hAPP(hAPP(c_in(T_a), V_x), V_A)) )).
% 12.73/12.90 cnf(matrix-837, plain, ( hBOOL(hAPP(hAPP(c_in(T_a), V_x), V_B)) | ~hBOOL(hAPP(hAPP(c_lessequals(tc_fun(T_a, tc_bool)), hAPP(hAPP(c_Set_Oinsert(T_a), V_x), V_A)), V_B)) )).
% 12.73/12.90 cnf(matrix-838, plain, ( hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(tc_fun(T_a, tc_bool)), V_A), V_B)) | ~hBOOL(hAPP(hAPP(c_in(T_a), V_x), V_B)) | ~hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(tc_fun(T_a, tc_bool)), V_A), hAPP(hAPP(c_Set_Oinsert(T_a), V_x), V_B))) )).
% 12.73/12.90 cnf(matrix-839, plain, ( hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(tc_fun(T_a, tc_bool)), V_A), hAPP(hAPP(c_Set_Oinsert(T_a), V_x), V_B))) | ~hBOOL(hAPP(hAPP(c_in(T_a), V_x), V_B)) | ~hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(tc_fun(T_a, tc_bool)), V_A), V_B)) )).
% 12.73/12.90 cnf(matrix-840, plain, ( ( hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(T_a, tc_bool)), hAPP(hAPP(c_Set_Oinsert(T_a), V_a), V_B)), V_C) = hAPP(hAPP(c_Set_Oinsert(T_a), V_a), hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(T_a, tc_bool)), V_B), V_C))) | ~hBOOL(hAPP(hAPP(c_in(T_a), V_a), V_C)) )).
% 12.73/12.90 cnf(matrix-841, plain, ( ( hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(T_a, tc_bool)), V_A), hAPP(hAPP(c_Set_Oinsert(T_a), V_a), V_B)) = hAPP(hAPP(c_Set_Oinsert(T_a), V_a), hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(T_a, tc_bool)), V_A), V_B))) | ~hBOOL(hAPP(hAPP(c_in(T_a), V_a), V_A)) )).
% 12.73/12.90 cnf(matrix-842, plain, ( hBOOL(hAPP(hAPP(c_lessequals(tc_fun(T_a, tc_bool)), hAPP(hAPP(c_Set_Oinsert(T_a), V_x), V_A)), V_B)) | ~hBOOL(hAPP(hAPP(c_lessequals(tc_fun(T_a, tc_bool)), V_A), V_B)) | ~hBOOL(hAPP(hAPP(c_in(T_a), V_x), V_B)) )).
% 12.73/12.90 cnf(matrix-843, plain, ( ~class_Complete__Lattice_Ocomplete__lattice(T_a) | ( c_Complete__Lattice_OSup__class_OSup(c_Orderings_Obot__class_Obot(tc_fun(T_a, tc_bool)), T_a) = c_Orderings_Obot__class_Obot(T_a)) )).
% 12.73/12.90 cnf(matrix-844, plain, ( ~class_Complete__Lattice_Ocomplete__lattice(T_a) | ( c_Complete__Lattice_OSup__class_OSup(hAPP(hAPP(c_Set_Oinsert(T_a), V_a), c_Orderings_Obot__class_Obot(tc_fun(T_a, tc_bool))), T_a) = V_a) )).
% 12.73/12.90 cnf(matrix-845, plain, ( ( V_A = hAPP(hAPP(c_Set_Oinsert(T_a), V_x), c_Orderings_Obot__class_Obot(tc_fun(T_a, tc_bool)))) | ( V_A = c_Orderings_Obot__class_Obot(tc_fun(T_a, tc_bool))) | ~hBOOL(hAPP(hAPP(c_lessequals(tc_fun(T_a, tc_bool)), V_A), hAPP(hAPP(c_Set_Oinsert(T_a), V_x), c_Orderings_Obot__class_Obot(tc_fun(T_a, tc_bool))))) )).
% 12.73/12.90 cnf(matrix-846, plain, ( ( c_Fun_Ofun__upd(c_Map_Orestrict__map(V_m, V_D, T_a, T_b), V_x, V_y, T_a, tc_Option_Ooption(T_b)) = c_Fun_Ofun__upd(c_Map_Orestrict__map(V_m, c_HOL_Ominus__class_Ominus(V_D, hAPP(hAPP(c_Set_Oinsert(T_a), V_x), c_Orderings_Obot__class_Obot(tc_fun(T_a, tc_bool))), tc_fun(T_a, tc_bool)), T_a, T_b), V_x, V_y, T_a, tc_Option_Ooption(T_b))) | ~hBOOL(hAPP(hAPP(c_in(T_a), V_x), V_D)) )).
% 12.73/12.90 cnf(matrix-847, plain, ( hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(tc_fun(T_a, tc_bool)), V_A), hAPP(hAPP(c_Set_Oinsert(T_a), V_x), V_B))) | ~hBOOL(hAPP(hAPP(c_lessequals(tc_fun(T_a, tc_bool)), V_A), V_B)) | ~hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(tc_fun(T_a, tc_bool)), c_HOL_Ominus__class_Ominus(V_A, hAPP(hAPP(c_Set_Oinsert(T_a), V_x), c_Orderings_Obot__class_Obot(tc_fun(T_a, tc_bool))), tc_fun(T_a, tc_bool))), V_B)) | hBOOL(hAPP(hAPP(c_in(T_a), V_x), V_B)) )).
% 12.73/12.90 cnf(matrix-848, plain, ( ~class_OrderedGroup_Ocomm__monoid__add(T_a) | hBOOL(hAPP(c_Finite__Set_Ofold__graph(c_HOL_Oplus__class_Oplus(T_a), V_a, hAPP(hAPP(c_Set_Oinsert(T_a), V_b), c_HOL_Ominus__class_Ominus(V_A, hAPP(hAPP(c_Set_Oinsert(T_a), V_a), c_Orderings_Obot__class_Obot(tc_fun(T_a, tc_bool))), tc_fun(T_a, tc_bool))), T_a, T_a), V_x)) | hBOOL(hAPP(hAPP(c_in(T_a), V_b), V_A)) | ~hBOOL(hAPP(hAPP(c_in(T_a), V_a), V_A)) | ~hBOOL(hAPP(c_Finite__Set_Ofold__graph(c_HOL_Oplus__class_Oplus(T_a), V_b, V_A, T_a, T_a), V_x)) )).
% 12.73/12.90 cnf(matrix-849, plain, ( ( c_Map_Orestrict__map(c_Fun_Ofun__upd(V_m, V_x, V_y, T_a, tc_Option_Ooption(T_b)), V_D, T_a, T_b) = c_Fun_Ofun__upd(c_Map_Orestrict__map(V_m, c_HOL_Ominus__class_Ominus(V_D, hAPP(hAPP(c_Set_Oinsert(T_a), V_x), c_Orderings_Obot__class_Obot(tc_fun(T_a, tc_bool))), tc_fun(T_a, tc_bool)), T_a, T_b), V_x, V_y, T_a, tc_Option_Ooption(T_b))) | ~hBOOL(hAPP(hAPP(c_in(T_a), V_x), V_D)) )).
% 12.73/12.90 cnf(matrix-850, plain, ( ~class_OrderedGroup_Oab__semigroup__mult(T_a) | hBOOL(hAPP(c_Finite__Set_Ofold__graph(c_HOL_Otimes__class_Otimes(T_a), V_a, hAPP(hAPP(c_Set_Oinsert(T_a), V_b), c_HOL_Ominus__class_Ominus(V_A, hAPP(hAPP(c_Set_Oinsert(T_a), V_a), c_Orderings_Obot__class_Obot(tc_fun(T_a, tc_bool))), tc_fun(T_a, tc_bool))), T_a, T_a), V_x)) | hBOOL(hAPP(hAPP(c_in(T_a), V_b), V_A)) | ~hBOOL(hAPP(hAPP(c_in(T_a), V_a), V_A)) | ~hBOOL(hAPP(c_Finite__Set_Ofold__graph(c_HOL_Otimes__class_Otimes(T_a), V_b, V_A, T_a, T_a), V_x)) )).
% 12.73/12.90 cnf(matrix-851, plain, ( ~class_Complete__Lattice_Ocomplete__lattice(T_a) | ( c_Complete__Lattice_OSup__class_OSup(hAPP(hAPP(c_Set_Oinsert(T_a), V_a), V_A), T_a) = hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(T_a), V_a), c_Complete__Lattice_OSup__class_OSup(V_A, T_a))) )).
% 12.73/12.90 cnf(matrix-852, plain, ( ~class_Orderings_Oorder(T_a) | ( c_SetInterval_Oord__class_OatLeastAtMost(V_a, V_b, T_a) = c_Orderings_Obot__class_Obot(tc_fun(T_a, tc_bool))) | ~hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(T_a), V_b), V_a)) )).
% 12.73/12.90 cnf(matrix-853, plain, ( ~class_Orderings_Oorder(T_a) | ( c_Orderings_Obot__class_Obot(tc_fun(T_a, tc_bool)) = c_SetInterval_Oord__class_OatLeastAtMost(V_a, V_b, T_a)) | hBOOL(hAPP(hAPP(c_lessequals(T_a), V_a), V_b)) )).
% 12.73/12.90 cnf(matrix-854, plain, ( ~class_Orderings_Oorder(T_a) | ( c_Orderings_Obot__class_Obot(tc_fun(T_a, tc_bool)) != c_SetInterval_Oord__class_OatLeastAtMost(V_a, V_b, T_a)) | ~hBOOL(hAPP(hAPP(c_lessequals(T_a), V_a), V_b)) )).
% 12.73/12.90 cnf(matrix-855, plain, ( ~class_Orderings_Oorder(T_a) | ( c_SetInterval_Oord__class_OatLeastAtMost(V_a, V_b, T_a) = c_Orderings_Obot__class_Obot(tc_fun(T_a, tc_bool))) | hBOOL(hAPP(hAPP(c_lessequals(T_a), V_a), V_b)) )).
% 12.73/12.90 cnf(matrix-856, plain, ( ~class_Orderings_Oorder(T_a) | ( c_SetInterval_Oord__class_OatLeastAtMost(V_a, V_b, T_a) != c_Orderings_Obot__class_Obot(tc_fun(T_a, tc_bool))) | ~hBOOL(hAPP(hAPP(c_lessequals(T_a), V_a), V_b)) )).
% 12.73/12.90 cnf(matrix-857, plain, ( ( c_Finite__Set_Ofold(V_f, V_z, hAPP(hAPP(c_Set_Oinsert(T_a), V_x), V_A), T_a, T_b) = hAPP(hAPP(V_f, V_x), c_Finite__Set_Ofold(V_f, V_z, c_HOL_Ominus__class_Ominus(V_A, hAPP(hAPP(c_Set_Oinsert(T_a), V_x), c_Orderings_Obot__class_Obot(tc_fun(T_a, tc_bool))), tc_fun(T_a, tc_bool)), T_a, T_b))) | ~c_Finite__Set_Ofinite(V_A, T_a) | ~c_Finite__Set_Ofun__left__comm(V_f, T_a, T_b) )).
% 12.73/12.90 cnf(matrix-858, plain, ( ( c_Finite__Set_Ocard(hAPP(hAPP(c_Set_Oinsert(T_a), V_x), V_A), T_a) = c_Suc(c_Finite__Set_Ocard(c_HOL_Ominus__class_Ominus(V_A, hAPP(hAPP(c_Set_Oinsert(T_a), V_x), c_Orderings_Obot__class_Obot(tc_fun(T_a, tc_bool))), tc_fun(T_a, tc_bool)), T_a))) | ~c_Finite__Set_Ofinite(V_A, T_a) )).
% 12.73/12.90 cnf(matrix-859, plain, ( ~class_Orderings_Olinorder(T_a) | hBOOL(hAPP(hAPP(c_lessequals(T_a), hAPP(c_Finite__Set_Ofold1(c_Orderings_Oord__class_Omin(T_a), T_a), V_A)), V_x)) | ~hBOOL(hAPP(hAPP(c_lessequals(T_a), V_xa), V_x)) | ~hBOOL(hAPP(hAPP(c_in(T_a), V_xa), V_A)) | ( V_A = c_Orderings_Obot__class_Obot(tc_fun(T_a, tc_bool))) | ~c_Finite__Set_Ofinite(V_A, T_a) )).
% 12.73/12.90 cnf(matrix-860, plain, ( ~class_Orderings_Olinorder(T_a) | hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(T_a), V_x), V_xa)) | ~hBOOL(hAPP(hAPP(c_in(T_a), V_xa), V_A)) | ~hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(T_a), V_x), hAPP(c_Finite__Set_Ofold1(c_Orderings_Oord__class_Omin(T_a), T_a), V_A))) | ( V_A = c_Orderings_Obot__class_Obot(tc_fun(T_a, tc_bool))) | ~c_Finite__Set_Ofinite(V_A, T_a) )).
% 12.73/12.90 cnf(matrix-861, plain, ( ~class_Orderings_Olinorder(T_a) | hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(T_a), hAPP(c_Finite__Set_Ofold1(c_Orderings_Oord__class_Omin(T_a), T_a), V_A)), V_x)) | ~hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(T_a), V_xa), V_x)) | ~hBOOL(hAPP(hAPP(c_in(T_a), V_xa), V_A)) | ( V_A = c_Orderings_Obot__class_Obot(tc_fun(T_a, tc_bool))) | ~c_Finite__Set_Ofinite(V_A, T_a) )).
% 12.73/12.90 cnf(matrix-862, plain, ( ~class_Lattices_Olower__semilattice(T_a) | hBOOL(hAPP(hAPP(c_lessequals(T_a), V_x), V_xa)) | ~hBOOL(hAPP(hAPP(c_in(T_a), V_xa), V_A)) | ~hBOOL(hAPP(hAPP(c_lessequals(T_a), V_x), hAPP(c_Finite__Set_Ofold1(c_Lattices_Olower__semilattice__class_Oinf(T_a), T_a), V_A))) | ( V_A = c_Orderings_Obot__class_Obot(tc_fun(T_a, tc_bool))) | ~c_Finite__Set_Ofinite(V_A, T_a) )).
% 12.73/12.90 cnf(matrix-863, plain, ( ~class_OrderedGroup_Oab__semigroup__mult(T_a) | ( hAPP(c_Finite__Set_Ofold1(c_HOL_Otimes__class_Otimes(T_a), T_a), hAPP(hAPP(c_Set_Oinsert(T_a), V_a), V_A)) = c_Finite__Set_Ofold(c_HOL_Otimes__class_Otimes(T_a), V_a, V_A, T_a, T_a)) | hBOOL(hAPP(hAPP(c_in(T_a), V_a), V_A)) | ~c_Finite__Set_Ofinite(V_A, T_a) )).
% 12.73/12.90 cnf(matrix-864, plain, ( ~class_OrderedGroup_Ocomm__monoid__add(T_a) | ( hAPP(c_Finite__Set_Ofold1(c_HOL_Oplus__class_Oplus(T_a), T_a), hAPP(hAPP(c_Set_Oinsert(T_a), V_a), V_A)) = c_Finite__Set_Ofold(c_HOL_Oplus__class_Oplus(T_a), V_a, V_A, T_a, T_a)) | hBOOL(hAPP(hAPP(c_in(T_a), V_a), V_A)) | ~c_Finite__Set_Ofinite(V_A, T_a) )).
% 12.73/12.90 cnf(matrix-865, plain, ( ( V_xo = hAPP(c_Option_Ooption_OSome(T_a), V_x)) | ~hBOOL(hAPP(hAPP(c_in(T_a), V_x), c_Option_Oset(V_xo, T_a))) )).
% 12.73/12.90 cnf(matrix-866, plain, ( hBOOL(hAPP(hAPP(c_in(T_a), V_x), c_Option_Oset(hAPP(c_Option_Ooption_OSome(T_a), V_x), T_a))) )).
% 12.73/12.90 cnf(matrix-867, plain, ( ( hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(T_a, tc_bool)), V_A), c_HOL_Ominus__class_Ominus(V_B, V_A, tc_fun(T_a, tc_bool))) = c_Orderings_Obot__class_Obot(tc_fun(T_a, tc_bool))) )).
% 12.73/12.90 cnf(matrix-868, plain, ( ( hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(T_a, tc_bool)), V_A), V_B) != c_Orderings_Obot__class_Obot(tc_fun(T_a, tc_bool))) | ( c_HOL_Ominus__class_Ominus(V_A, V_B, tc_fun(T_a, tc_bool)) = V_A) )).
% 12.73/12.90 cnf(matrix-869, plain, ( ( hAPP(c_Map_Orestrict__map(V_m, V_A, T_a, T_b), V_x) = c_Option_Ooption_ONone(T_b)) | hBOOL(hAPP(hAPP(c_in(T_a), V_x), V_A)) )).
% 12.73/12.90 cnf(matrix-870, plain, ( ~class_OrderedGroup_Ocomm__monoid__add(T_a) | ( hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(T_a, tc_bool)), V_A), V_B) != c_Orderings_Obot__class_Obot(tc_fun(T_a, tc_bool))) | ( V_B = c_Orderings_Obot__class_Obot(tc_fun(T_a, tc_bool))) | ~c_Finite__Set_Ofinite(V_B, T_a) | ( V_A = c_Orderings_Obot__class_Obot(tc_fun(T_a, tc_bool))) | ~c_Finite__Set_Ofinite(V_A, T_a) | ( hAPP(c_Finite__Set_Ofold1(c_HOL_Oplus__class_Oplus(T_a), T_a), hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(T_a, tc_bool)), V_A), V_B)) = hAPP(hAPP(c_HOL_Oplus__class_Oplus(T_a), hAPP(c_Finite__Set_Ofold1(c_HOL_Oplus__class_Oplus(T_a), T_a), V_A)), hAPP(c_Finite__Set_Ofold1(c_HOL_Oplus__class_Oplus(T_a), T_a), V_B))) )).
% 12.73/12.90 cnf(matrix-871, plain, ( ~class_OrderedGroup_Oab__semigroup__mult(T_a) | ( hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(T_a, tc_bool)), V_A), V_B) != c_Orderings_Obot__class_Obot(tc_fun(T_a, tc_bool))) | ( V_B = c_Orderings_Obot__class_Obot(tc_fun(T_a, tc_bool))) | ~c_Finite__Set_Ofinite(V_B, T_a) | ( V_A = c_Orderings_Obot__class_Obot(tc_fun(T_a, tc_bool))) | ~c_Finite__Set_Ofinite(V_A, T_a) | ( hAPP(c_Finite__Set_Ofold1(c_HOL_Otimes__class_Otimes(T_a), T_a), hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(T_a, tc_bool)), V_A), V_B)) = hAPP(hAPP(c_HOL_Otimes__class_Otimes(T_a), hAPP(c_Finite__Set_Ofold1(c_HOL_Otimes__class_Otimes(T_a), T_a), V_A)), hAPP(c_Finite__Set_Ofold1(c_HOL_Otimes__class_Otimes(T_a), T_a), V_B))) )).
% 12.73/12.90 cnf(matrix-872, plain, ( hBOOL(hAPP(hAPP(c_lessequals(tc_fun(T_a, tc_bool)), V_A), hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(T_a, tc_bool)), V_B), V_C))) | ~hBOOL(hAPP(hAPP(c_lessequals(tc_fun(T_a, tc_bool)), c_HOL_Ominus__class_Ominus(V_A, V_B, tc_fun(T_a, tc_bool))), V_C)) )).
% 12.73/12.90 cnf(matrix-873, plain, ( hBOOL(hAPP(hAPP(c_lessequals(tc_fun(T_a, tc_bool)), c_HOL_Ominus__class_Ominus(V_A, V_B, tc_fun(T_a, tc_bool))), V_C)) | ~hBOOL(hAPP(hAPP(c_lessequals(tc_fun(T_a, tc_bool)), V_A), hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(T_a, tc_bool)), V_B), V_C))) )).
% 12.73/12.90 cnf(matrix-874, plain, ( ( hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(T_a, tc_bool)), V_A), c_HOL_Ominus__class_Ominus(V_B, V_A, tc_fun(T_a, tc_bool))) = V_B) | ~hBOOL(hAPP(hAPP(c_lessequals(tc_fun(T_a, tc_bool)), V_A), V_B)) )).
% 12.73/12.90 cnf(matrix-875, plain, ( ( hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(T_a, tc_bool)), c_HOL_Ominus__class_Ominus(V_A, V_B, tc_fun(T_a, tc_bool))), hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(T_a, tc_bool)), V_A), V_B)) = V_A) )).
% 12.73/12.90 cnf(matrix-876, plain, ( ( c_HOL_Ominus__class_Ominus(V_A, hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(T_a, tc_bool)), V_B), V_C), tc_fun(T_a, tc_bool)) = hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(T_a, tc_bool)), c_HOL_Ominus__class_Ominus(V_A, V_B, tc_fun(T_a, tc_bool))), c_HOL_Ominus__class_Ominus(V_A, V_C, tc_fun(T_a, tc_bool)))) )).
% 12.73/12.90 cnf(matrix-877, plain, ( ( c_HOL_Ominus__class_Ominus(V_A, hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(T_a, tc_bool)), V_B), V_C), tc_fun(T_a, tc_bool)) = hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(T_a, tc_bool)), c_HOL_Ominus__class_Ominus(V_A, V_B, tc_fun(T_a, tc_bool))), c_HOL_Ominus__class_Ominus(V_A, V_C, tc_fun(T_a, tc_bool)))) )).
% 12.73/12.90 cnf(matrix-878, plain, ( ( c_Option_Oset(c_Option_Ooption_ONone(T_a), T_a) = c_Orderings_Obot__class_Obot(tc_fun(T_a, tc_bool))) )).
% 12.73/12.90 cnf(matrix-879, plain, ( ( c_Option_Oset(V_xo, T_a) != c_Orderings_Obot__class_Obot(tc_fun(T_a, tc_bool))) | ( V_xo = c_Option_Ooption_ONone(T_a)) )).
% 12.73/12.90 cnf(matrix-880, plain, ( ~class_Complete__Lattice_Ocomplete__lattice(T_a) | hBOOL(hAPP(hAPP(c_lessequals(T_a), c_Complete__Lattice_OInf__class_OInf(V_A, T_a)), V_x)) | ~hBOOL(hAPP(hAPP(c_in(T_a), V_x), V_A)) )).
% 12.73/12.90 cnf(matrix-881, plain, ( ( hAPP(hAPP(V_sup, V_B), hAPP(V_Sup, V_A)) = c_Finite__Set_Ofold(V_sup, V_B, V_A, T_a, T_a)) | ~c_Finite__Set_Ofinite(V_A, T_a) | ~c_Complete__Lattice_Ocomplete__lattice(V_Inf, V_Sup, V_less__eq, V_less, V_inf, V_sup, V_bot, V_top, T_a) )).
% 12.73/12.90 cnf(matrix-882, plain, ( ( hAPP(hAPP(V_inf, V_B), hAPP(V_Inf, V_A)) = c_Finite__Set_Ofold(V_inf, V_B, V_A, T_a, T_a)) | ~c_Finite__Set_Ofinite(V_A, T_a) | ~c_Complete__Lattice_Ocomplete__lattice(V_Inf, V_Sup, V_less__eq, V_less, V_inf, V_sup, V_bot, V_top, T_a) )).
% 12.73/12.90 cnf(matrix-883, plain, ( ( hAPP(V_Sup, V_A) = c_Finite__Set_Ofold(V_sup, V_bot, V_A, T_a, T_a)) | ~c_Finite__Set_Ofinite(V_A, T_a) | ~c_Complete__Lattice_Ocomplete__lattice(V_Inf, V_Sup, V_less__eq, V_less, V_inf, V_sup, V_bot, V_top, T_a) )).
% 12.73/12.90 cnf(matrix-884, plain, ( ( hAPP(V_Inf, V_A) = c_Finite__Set_Ofold(V_inf, V_top, V_A, T_a, T_a)) | ~c_Finite__Set_Ofinite(V_A, T_a) | ~c_Complete__Lattice_Ocomplete__lattice(V_Inf, V_Sup, V_less__eq, V_less, V_inf, V_sup, V_bot, V_top, T_a) )).
% 12.73/12.90 cnf(matrix-885, plain, ( ~class_Complete__Lattice_Ocomplete__lattice(T_a) | ( c_Complete__Lattice_OInf__class_OInf(hAPP(hAPP(c_Set_Oinsert(T_a), V_a), V_A), T_a) = hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(T_a), V_a), c_Complete__Lattice_OInf__class_OInf(V_A, T_a))) )).
% 12.73/12.90 cnf(matrix-886, plain, ( ( c_Map_Omap__add(V_f, c_Fun_Ofun__upd(V_g, V_x, hAPP(c_Option_Ooption_OSome(T_b), V_y), T_a, tc_Option_Ooption(T_b)), T_a, T_b) = c_Fun_Ofun__upd(c_Map_Omap__add(V_f, V_g, T_a, T_b), V_x, hAPP(c_Option_Ooption_OSome(T_b), V_y), T_a, tc_Option_Ooption(T_b))) )).
% 12.73/12.90 cnf(matrix-887, plain, ( ( c_Map_Omap__add(c_COMBK(c_Option_Ooption_ONone(T_b), tc_Option_Ooption(T_b), T_a), V_m, T_a, T_b) = V_m) )).
% 12.73/12.90 cnf(matrix-888, plain, ( ( c_Map_Omap__add(V_m, c_COMBK(c_Option_Ooption_ONone(T_b), tc_Option_Ooption(T_b), T_a), T_a, T_b) = V_m) )).
% 12.73/12.90 cnf(matrix-889, plain, ( c_Map_Omap__le(c_Fun_Ofun__upd(V_f, V_x, c_Option_Ooption_ONone(T_b), T_a, tc_Option_Ooption(T_b)), V_f, T_a, T_b) )).
% 12.73/12.90 cnf(matrix-890, plain, ( c_Map_Omap__le(c_COMBK(c_Option_Ooption_ONone(T_b), tc_Option_Ooption(T_b), T_a), V_g, T_a, T_b) )).
% 12.73/12.90 cnf(matrix-891, plain, ( hBOOL(hAPP(hAPP(c_lessequals(tc_fun(T_a, tc_bool)), c_Map_Odom(V_f, T_a, T_b)), c_Map_Odom(V_g, T_a, T_b))) | ~c_Map_Omap__le(V_f, V_g, T_a, T_b) )).
% 12.73/12.90 cnf(matrix-892, plain, ( ~class_Orderings_Olinorder(T_a) | ( c_Finite__Set_Olinorder__class_OMax(T_a) = c_Finite__Set_Ofold1(c_Orderings_Oord__class_Omax(T_a), T_a)) )).
% 12.73/12.90 cnf(matrix-893, plain, ( ~class_Orderings_Olinorder(T_a) | ( c_Finite__Set_Olinorder__class_OMin(T_a) = c_Finite__Set_Ofold1(c_Orderings_Oord__class_Omin(T_a), T_a)) )).
% 12.73/12.90 cnf(matrix-894, plain, ( ( c_HOL_Ominus__class_Ominus(V_A, c_Orderings_Obot__class_Obot(tc_fun(T_a, tc_bool)), tc_fun(T_a, tc_bool)) = V_A) )).
% 12.73/12.90 cnf(matrix-895, plain, ( c_Finite__Set_Ofinite(c_Orderings_Obot__class_Obot(tc_fun(T_a, tc_bool)), T_a) )).
% 12.73/12.90 cnf(matrix-896, plain, ( ( hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(T_a, tc_bool)), V_A), V_B) != c_Orderings_Obot__class_Obot(tc_fun(T_a, tc_bool))) | ( V_B = c_Orderings_Obot__class_Obot(tc_fun(T_a, tc_bool))) )).
% 12.73/12.90 cnf(matrix-897, plain, ( ( hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(T_a, tc_bool)), V_A), V_B) != c_Orderings_Obot__class_Obot(tc_fun(T_a, tc_bool))) | ( V_A = c_Orderings_Obot__class_Obot(tc_fun(T_a, tc_bool))) )).
% 12.73/12.90 cnf(matrix-898, plain, ( ( c_Set_Ovimage(V_f, hAPP(hAPP(c_Set_Oinsert(T_b), V_a), V_B), T_a, T_b) = hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(T_a, tc_bool)), c_Set_Ovimage(V_f, hAPP(hAPP(c_Set_Oinsert(T_b), V_a), c_Orderings_Obot__class_Obot(tc_fun(T_b, tc_bool))), T_a, T_b)), c_Set_Ovimage(V_f, V_B, T_a, T_b))) )).
% 12.73/12.90 cnf(matrix-899, plain, ( ( hAPP(V_Inf, hAPP(hAPP(c_Set_Oinsert(T_a), V_a), V_A)) = hAPP(hAPP(V_inf, V_a), hAPP(V_Inf, V_A))) | ~c_Complete__Lattice_Ocomplete__lattice(V_Inf, V_Sup, V_less__eq, V_less, V_inf, V_sup, V_bot, V_top, T_a) )).
% 12.73/12.90 cnf(matrix-900, plain, ( ( hAPP(V_Sup, hAPP(hAPP(c_Set_Oinsert(T_a), V_a), V_A)) = hAPP(hAPP(V_sup, V_a), hAPP(V_Sup, V_A))) | ~c_Complete__Lattice_Ocomplete__lattice(V_Inf, V_Sup, V_less__eq, V_less, V_inf, V_sup, V_bot, V_top, T_a) )).
% 12.73/12.90 cnf(matrix-901, plain, ( c_Finite__Set_Ofinite(hAPP(hAPP(c_Set_Oinsert(T_a), V_a), V_A), T_a) | ~c_Finite__Set_Ofinite(V_A, T_a) )).
% 12.73/12.90 cnf(matrix-902, plain, ( c_Finite__Set_Ofinite(V_A, T_a) | ~c_Finite__Set_Ofinite(hAPP(hAPP(c_Set_Oinsert(T_a), V_a), V_A), T_a) )).
% 12.73/12.90 cnf(matrix-903, plain, ( ( hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(T_a, tc_bool)), V_A), hAPP(hAPP(c_Set_Oinsert(T_a), V_a), V_B)) = hAPP(hAPP(c_Set_Oinsert(T_a), V_a), hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(T_a, tc_bool)), V_A), V_B))) )).
% 12.73/12.90 cnf(matrix-904, plain, ( ( hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(T_a, tc_bool)), hAPP(hAPP(c_Set_Oinsert(T_a), V_a), V_B)), V_C) = hAPP(hAPP(c_Set_Oinsert(T_a), V_a), hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(T_a, tc_bool)), V_B), V_C))) )).
% 12.73/12.90 cnf(matrix-905, plain, ( ( hAPP(V_f, V_x) != c_Option_Ooption_ONone(T_a)) | ( c_HOL_Ominus__class_Ominus(c_Map_Odom(V_f, T_b, T_a), hAPP(hAPP(c_Set_Oinsert(T_b), V_x), V_A), tc_fun(T_b, tc_bool)) = c_HOL_Ominus__class_Ominus(c_Map_Odom(V_f, T_b, T_a), V_A, tc_fun(T_b, tc_bool))) )).
% 12.73/12.90 cnf(matrix-906, plain, ( ( c_Com_Ocom_OBODY(V_pname_H) != c_Com_Ocom_OSemi(V_com1, V_com2)) )).
% 12.73/12.90 cnf(matrix-907, plain, ( ( c_Com_Ocom_OSemi(V_com1, V_com2) != c_Com_Ocom_OBODY(V_pname_H)) )).
% 12.73/12.90 cnf(matrix-908, plain, ( ( c_Com_Ocom_OSKIP != c_Com_Ocom_OSemi(V_com1_H, V_com2_H)) )).
% 12.73/12.90 cnf(matrix-909, plain, ( ( c_Com_Ocom_OSemi(V_com1_H, V_com2_H) != c_Com_Ocom_OSKIP) )).
% 12.73/12.90 cnf(matrix-910, plain, ( c_Hoare__Mirabelle_Ohoare__valids(V_G, V_ts, T_a) | ~c_Hoare__Mirabelle_Ohoare__derivs(V_G, V_ts, T_a) )).
% 12.73/12.90 cnf(matrix-911, plain, ( hBOOL(hAPP(hAPP(c_Natural_Oevalc(c_Com_Ocom_OSemi(V_c0, V_c1)), V_s0), V_s2)) | ~hBOOL(hAPP(hAPP(c_Natural_Oevalc(V_c1), V_s1), V_s2)) | ~hBOOL(hAPP(hAPP(c_Natural_Oevalc(V_c0), V_s0), V_s1)) )).
% 12.73/12.90 cnf(matrix-912, plain, ( ( c_HOL_Ominus__class_Ominus(hAPP(hAPP(c_Set_Oinsert(T_a), V_x), V_A), V_B, tc_fun(T_a, tc_bool)) = c_HOL_Ominus__class_Ominus(V_A, V_B, tc_fun(T_a, tc_bool))) | ~hBOOL(hAPP(hAPP(c_in(T_a), V_x), V_B)) )).
% 12.73/12.90 cnf(matrix-913, plain, ( ( c_HOL_Ominus__class_Ominus(hAPP(hAPP(c_Set_Oinsert(T_a), V_x), V_A), V_B, tc_fun(T_a, tc_bool)) = hAPP(hAPP(c_Set_Oinsert(T_a), V_x), c_HOL_Ominus__class_Ominus(V_A, V_B, tc_fun(T_a, tc_bool)))) | hBOOL(hAPP(hAPP(c_in(T_a), V_x), V_B)) )).
% 12.73/12.90 cnf(matrix-914, plain, ( ( hAPP(V_Inf, hAPP(hAPP(c_Set_Oinsert(T_a), V_a), c_Orderings_Obot__class_Obot(tc_fun(T_a, tc_bool)))) = V_a) | ~c_Complete__Lattice_Ocomplete__lattice(V_Inf, V_Sup, V_less__eq, V_less, V_inf, V_sup, V_bot, V_top, T_a) )).
% 12.73/12.90 cnf(matrix-915, plain, ( ( hAPP(V_Sup, hAPP(hAPP(c_Set_Oinsert(T_a), V_a), c_Orderings_Obot__class_Obot(tc_fun(T_a, tc_bool)))) = V_a) | ~c_Complete__Lattice_Ocomplete__lattice(V_Inf, V_Sup, V_less__eq, V_less, V_inf, V_sup, V_bot, V_top, T_a) )).
% 12.73/12.90 cnf(matrix-916, plain, ( hBOOL(hAPP(hAPP(hAPP(c_Set_Oinsert(T_a), V_x), c_Orderings_Obot__class_Obot(tc_fun(T_a, tc_bool))), c_Nitpick_Osko__Nitpick__XEx1__def__1__3(hAPP(hAPP(c_Set_Oinsert(T_a), V_x), c_Orderings_Obot__class_Obot(tc_fun(T_a, tc_bool))), T_a))) )).
% 12.73/12.90 cnf(matrix-917, plain, ( ~class_Ring__and__Field_Oring(T_b) | ( c_Finite__Set_Osetsum(V_f, c_HOL_Ominus__class_Ominus(V_A, hAPP(hAPP(c_Set_Oinsert(T_a), V_a), c_Orderings_Obot__class_Obot(tc_fun(T_a, tc_bool))), tc_fun(T_a, tc_bool)), T_a, T_b) = c_HOL_Ominus__class_Ominus(c_Finite__Set_Osetsum(V_f, V_A, T_a, T_b), hAPP(V_f, V_a), T_b)) | ~hBOOL(hAPP(hAPP(c_in(T_a), V_a), V_A)) | ~c_Finite__Set_Ofinite(V_A, T_a) )).
% 12.73/12.90 cnf(matrix-918, plain, ( ~class_OrderedGroup_Oab__group__add(T_b) | ( c_Finite__Set_Osetsum(V_f, c_HOL_Ominus__class_Ominus(V_A, hAPP(hAPP(c_Set_Oinsert(T_a), V_a), c_Orderings_Obot__class_Obot(tc_fun(T_a, tc_bool))), tc_fun(T_a, tc_bool)), T_a, T_b) = c_HOL_Ominus__class_Ominus(c_Finite__Set_Osetsum(V_f, V_A, T_a, T_b), hAPP(V_f, V_a), T_b)) | ~hBOOL(hAPP(hAPP(c_in(T_a), V_a), V_A)) | ~c_Finite__Set_Ofinite(V_A, T_a) )).
% 12.73/12.90 cnf(matrix-919, plain, ( ( hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(T_a, tc_bool)), V_A), V_B) != c_Orderings_Obot__class_Obot(tc_fun(T_a, tc_bool))) | ( V_B = c_Orderings_Obot__class_Obot(tc_fun(T_a, tc_bool))) | ~c_Finite__Set_Ofinite(V_B, T_a) | ( V_A = c_Orderings_Obot__class_Obot(tc_fun(T_a, tc_bool))) | ~c_Finite__Set_Ofinite(V_A, T_a) | ~c_OrderedGroup_Oab__semigroup__mult(V_times, T_a) | ( hAPP(c_Finite__Set_Ofold1(V_times, T_a), hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(T_a, tc_bool)), V_A), V_B)) = hAPP(hAPP(V_times, hAPP(c_Finite__Set_Ofold1(V_times, T_a), V_A)), hAPP(c_Finite__Set_Ofold1(V_times, T_a), V_B))) )).
% 12.73/12.90 cnf(matrix-920, plain, ( ( hAPP(c_Finite__Set_Ofold1(V_times, T_a), hAPP(hAPP(c_Set_Oinsert(T_a), V_a), V_A)) = c_Finite__Set_Ofold(V_times, V_a, V_A, T_a, T_a)) | hBOOL(hAPP(hAPP(c_in(T_a), V_a), V_A)) | ~c_Finite__Set_Ofinite(V_A, T_a) | ~c_OrderedGroup_Oab__semigroup__mult(V_times, T_a) )).
% 12.73/12.90 cnf(matrix-921, plain, ( hBOOL(hAPP(c_Finite__Set_Ofold__graph(V_times, V_a, hAPP(hAPP(c_Set_Oinsert(T_a), V_b), c_HOL_Ominus__class_Ominus(V_A, hAPP(hAPP(c_Set_Oinsert(T_a), V_a), c_Orderings_Obot__class_Obot(tc_fun(T_a, tc_bool))), tc_fun(T_a, tc_bool))), T_a, T_a), V_x)) | hBOOL(hAPP(hAPP(c_in(T_a), V_b), V_A)) | ~hBOOL(hAPP(hAPP(c_in(T_a), V_a), V_A)) | ~hBOOL(hAPP(c_Finite__Set_Ofold__graph(V_times, V_b, V_A, T_a, T_a), V_x)) | ~c_OrderedGroup_Oab__semigroup__mult(V_times, T_a) )).
% 12.73/12.90 cnf(matrix-922, plain, ( ( c_Map_Odom(c_Fun_Ofun__upd(V_f, V_x, c_Option_Ooption_ONone(T_b), T_a, tc_Option_Ooption(T_b)), T_a, T_b) = c_HOL_Ominus__class_Ominus(c_Map_Odom(V_f, T_a, T_b), hAPP(hAPP(c_Set_Oinsert(T_a), V_x), c_Orderings_Obot__class_Obot(tc_fun(T_a, tc_bool))), tc_fun(T_a, tc_bool))) )).
% 12.73/12.90 cnf(matrix-923, plain, ( ~class_OrderedGroup_Ocomm__monoid__add(T_a) | ( hAPP(c_Finite__Set_Ofold1(c_HOL_Oplus__class_Oplus(T_a), T_a), hAPP(hAPP(c_Set_Oinsert(T_a), V_x), V_A)) = hAPP(hAPP(c_HOL_Oplus__class_Oplus(T_a), V_x), hAPP(c_Finite__Set_Ofold1(c_HOL_Oplus__class_Oplus(T_a), T_a), V_A))) | hBOOL(hAPP(hAPP(c_in(T_a), V_x), V_A)) | ~c_Finite__Set_Ofinite(V_A, T_a) | ( V_A = c_Orderings_Obot__class_Obot(tc_fun(T_a, tc_bool))) )).
% 12.73/12.90 cnf(matrix-924, plain, ( ~class_OrderedGroup_Oab__semigroup__mult(T_a) | ( hAPP(c_Finite__Set_Ofold1(c_HOL_Otimes__class_Otimes(T_a), T_a), hAPP(hAPP(c_Set_Oinsert(T_a), V_x), V_A)) = hAPP(hAPP(c_HOL_Otimes__class_Otimes(T_a), V_x), hAPP(c_Finite__Set_Ofold1(c_HOL_Otimes__class_Otimes(T_a), T_a), V_A))) | hBOOL(hAPP(hAPP(c_in(T_a), V_x), V_A)) | ~c_Finite__Set_Ofinite(V_A, T_a) | ( V_A = c_Orderings_Obot__class_Obot(tc_fun(T_a, tc_bool))) )).
% 12.73/12.90 cnf(matrix-925, plain, ( ( c_Finite__Set_Ocard(c_HOL_Ominus__class_Ominus(V_A, hAPP(hAPP(c_Set_Oinsert(T_a), V_x), c_Orderings_Obot__class_Obot(tc_fun(T_a, tc_bool))), tc_fun(T_a, tc_bool)), T_a) = c_Finite__Set_Ocard(V_A, T_a)) | hBOOL(hAPP(hAPP(c_in(T_a), V_x), V_A)) | ~c_Finite__Set_Ofinite(V_A, T_a) )).
% 12.73/12.90 cnf(matrix-926, plain, ( ~class_OrderedGroup_Oab__group__add(T_b) | ( c_Finite__Set_Osetsum(V_f, c_HOL_Ominus__class_Ominus(V_A, hAPP(hAPP(c_Set_Oinsert(T_a), V_a), c_Orderings_Obot__class_Obot(tc_fun(T_a, tc_bool))), tc_fun(T_a, tc_bool)), T_a, T_b) = c_Finite__Set_Osetsum(V_f, V_A, T_a, T_b)) | hBOOL(hAPP(hAPP(c_in(T_a), V_a), V_A)) | ~c_Finite__Set_Ofinite(V_A, T_a) )).
% 12.73/12.90 cnf(matrix-927, plain, ( c_Hoare__Mirabelle_Ohoare__derivs(V_G, hAPP(hAPP(c_Set_Oinsert(tc_Hoare__Mirabelle_Otriple(t_a)), c_Hoare__Mirabelle_Otriple_Otriple(V_P, V_c, V_Q, t_a)), c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(t_a), tc_bool))), t_a) | ~c_Hoare__Mirabelle_Ohoare__derivs(V_G, hAPP(hAPP(c_Set_Oinsert(tc_Hoare__Mirabelle_Otriple(t_a)), c_Hoare__Mirabelle_Otriple_Otriple(c_COMBK(hAPP(c_COMBC(c_fequal(tc_Com_Ostate), tc_Com_Ostate, tc_Com_Ostate, tc_bool), v_sko__Hoare__Mirabelle__Xescape__2(V_G, V_P, V_Q, V_c)), tc_fun(tc_Com_Ostate, tc_bool), t_a), V_c, c_COMBK(hAPP(V_Q, v_sko__Hoare__Mirabelle__Xescape__1(V_G, V_P, V_Q, V_c)), tc_fun(tc_Com_Ostate, tc_bool), t_a), t_a)), c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(t_a), tc_bool))), t_a) )).
% 12.73/12.90 cnf(matrix-928, plain, ( ( c_Map_Omap__add(c_Fun_Ofun__upd(V_e1, V_m, hAPP(c_Option_Ooption_OSome(T_b), V_u1), T_a, tc_Option_Ooption(T_b)), V_e2, T_a, T_b) = c_Fun_Ofun__upd(c_Map_Omap__add(V_e1, V_e2, T_a, T_b), V_m, hAPP(c_Option_Ooption_OSome(T_b), V_u1), T_a, tc_Option_Ooption(T_b))) | hBOOL(hAPP(hAPP(c_in(T_a), V_m), c_Map_Odom(V_e2, T_a, T_b))) )).
% 12.73/12.90 cnf(matrix-929, plain, ( ( c_Hoare__Mirabelle_OMGT(v_c) = c_Hoare__Mirabelle_Otriple_Otriple(c_fequal(tc_Com_Ostate), v_c, c_Natural_Oevalc(v_c), tc_Com_Ostate)) )).
% 12.73/12.90 cnf(matrix-930, plain, ( ~class_Orderings_Olinorder(T_a) | ( hAPP(c_Finite__Set_Olinorder__class_OMax(T_a), hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(T_a, tc_bool)), V_A), V_B)) = hAPP(hAPP(c_Orderings_Oord__class_Omax(T_a), hAPP(c_Finite__Set_Olinorder__class_OMax(T_a), V_A)), hAPP(c_Finite__Set_Olinorder__class_OMax(T_a), V_B))) | ( V_B = c_Orderings_Obot__class_Obot(tc_fun(T_a, tc_bool))) | ~c_Finite__Set_Ofinite(V_B, T_a) | ( V_A = c_Orderings_Obot__class_Obot(tc_fun(T_a, tc_bool))) | ~c_Finite__Set_Ofinite(V_A, T_a) )).
% 12.73/12.90 cnf(matrix-931, plain, ( ~class_Orderings_Olinorder(T_a) | ( hAPP(c_Finite__Set_Olinorder__class_OMin(T_a), hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(T_a, tc_bool)), V_A), V_B)) = hAPP(hAPP(c_Orderings_Oord__class_Omin(T_a), hAPP(c_Finite__Set_Olinorder__class_OMin(T_a), V_A)), hAPP(c_Finite__Set_Olinorder__class_OMin(T_a), V_B))) | ( V_B = c_Orderings_Obot__class_Obot(tc_fun(T_a, tc_bool))) | ~c_Finite__Set_Ofinite(V_B, T_a) | ( V_A = c_Orderings_Obot__class_Obot(tc_fun(T_a, tc_bool))) | ~c_Finite__Set_Ofinite(V_A, T_a) )).
% 12.73/12.90 cnf(matrix-932, plain, ( ~class_Orderings_Olinorder(T_a) | ( hAPP(c_Finite__Set_Olinorder__class_OMin(T_a), hAPP(hAPP(c_Set_Oinsert(T_a), V_x), V_A)) = hAPP(hAPP(c_Orderings_Oord__class_Omin(T_a), V_x), hAPP(c_Finite__Set_Olinorder__class_OMin(T_a), V_A))) | ( V_A = c_Orderings_Obot__class_Obot(tc_fun(T_a, tc_bool))) | ~c_Finite__Set_Ofinite(V_A, T_a) )).
% 12.73/12.90 cnf(matrix-933, plain, ( ~class_Orderings_Olinorder(T_a) | ( hAPP(c_Finite__Set_Olinorder__class_OMax(T_a), hAPP(hAPP(c_Set_Oinsert(T_a), V_x), V_A)) = hAPP(hAPP(c_Orderings_Oord__class_Omax(T_a), V_x), hAPP(c_Finite__Set_Olinorder__class_OMax(T_a), V_A))) | ( V_A = c_Orderings_Obot__class_Obot(tc_fun(T_a, tc_bool))) | ~c_Finite__Set_Ofinite(V_A, T_a) )).
% 12.73/12.90 cnf(matrix-934, plain, ( ( c_Finite__Set_Ofold__image(V_times, V_g, V_z, hAPP(hAPP(c_Set_Oinsert(T_b), V_a), V_A), T_a, T_b) = hAPP(hAPP(V_times, hAPP(V_g, V_a)), c_Finite__Set_Ofold__image(V_times, V_g, V_z, V_A, T_a, T_b))) | hBOOL(hAPP(hAPP(c_in(T_b), V_a), V_A)) | ~c_Finite__Set_Ofinite(V_A, T_b) | ~c_OrderedGroup_Oab__semigroup__mult(V_times, T_a) )).
% 12.73/12.90 cnf(matrix-935, plain, ( ~class_OrderedGroup_Oab__semigroup__idem__mult(T_a) | ( hAPP(c_Finite__Set_Ofold1(c_HOL_Otimes__class_Otimes(T_a), T_a), hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(T_a, tc_bool)), V_A), V_B)) = hAPP(hAPP(c_HOL_Otimes__class_Otimes(T_a), hAPP(c_Finite__Set_Ofold1(c_HOL_Otimes__class_Otimes(T_a), T_a), V_A)), hAPP(c_Finite__Set_Ofold1(c_HOL_Otimes__class_Otimes(T_a), T_a), V_B))) | ( V_B = c_Orderings_Obot__class_Obot(tc_fun(T_a, tc_bool))) | ~c_Finite__Set_Ofinite(V_B, T_a) | ( V_A = c_Orderings_Obot__class_Obot(tc_fun(T_a, tc_bool))) | ~c_Finite__Set_Ofinite(V_A, T_a) )).
% 12.73/12.90 cnf(matrix-936, plain, ( ( hAPP(c_Finite__Set_Ofold1(V_times, T_a), hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(T_a, tc_bool)), V_A), V_B)) = hAPP(hAPP(V_times, hAPP(c_Finite__Set_Ofold1(V_times, T_a), V_A)), hAPP(c_Finite__Set_Ofold1(V_times, T_a), V_B))) | ( V_B = c_Orderings_Obot__class_Obot(tc_fun(T_a, tc_bool))) | ~c_Finite__Set_Ofinite(V_B, T_a) | ( V_A = c_Orderings_Obot__class_Obot(tc_fun(T_a, tc_bool))) | ~c_Finite__Set_Ofinite(V_A, T_a) | ~c_OrderedGroup_Oab__semigroup__idem__mult(V_times, T_a) )).
% 12.73/12.90 cnf(matrix-937, plain, ( ~class_OrderedGroup_Oab__semigroup__idem__mult(T_a) | ( hAPP(c_Finite__Set_Ofold1(c_HOL_Otimes__class_Otimes(T_a), T_a), hAPP(hAPP(c_Set_Oinsert(T_a), V_x), V_A)) = hAPP(hAPP(c_HOL_Otimes__class_Otimes(T_a), V_x), hAPP(c_Finite__Set_Ofold1(c_HOL_Otimes__class_Otimes(T_a), T_a), V_A))) | ~c_Finite__Set_Ofinite(V_A, T_a) | ( V_A = c_Orderings_Obot__class_Obot(tc_fun(T_a, tc_bool))) )).
% 12.73/12.90 cnf(matrix-938, plain, ( ( hAPP(c_Finite__Set_Ofold1(V_times, T_a), hAPP(hAPP(c_Set_Oinsert(T_a), V_x), V_A)) = hAPP(hAPP(V_times, V_x), hAPP(c_Finite__Set_Ofold1(V_times, T_a), V_A))) | ~c_Finite__Set_Ofinite(V_A, T_a) | ( V_A = c_Orderings_Obot__class_Obot(tc_fun(T_a, tc_bool))) | ~c_OrderedGroup_Oab__semigroup__idem__mult(V_times, T_a) )).
% 12.73/12.90 cnf(matrix-939, plain, ( hBOOL(hAPP(hAPP(V_less__eq, V_x), V_xa)) | ~hBOOL(hAPP(hAPP(c_in(T_a), V_xa), V_A)) | ~hBOOL(hAPP(hAPP(V_less__eq, V_x), hAPP(c_Finite__Set_Ofold1(V_inf, T_a), V_A))) | ( V_A = c_Orderings_Obot__class_Obot(tc_fun(T_a, tc_bool))) | ~c_Finite__Set_Ofinite(V_A, T_a) | ~c_Lattices_Olower__semilattice(V_less__eq, V_less, V_inf, T_a) )).
% 12.73/12.90 cnf(matrix-940, plain, ( hBOOL(hAPP(c_Finite__Set_Ofold__graph(V_f, V_z, V_A, T_a, T_b), hAPP(hAPP(V_f, V_x), V_y))) | ~hBOOL(hAPP(hAPP(c_in(T_a), V_x), V_A)) | ~hBOOL(hAPP(c_Finite__Set_Ofold__graph(V_f, V_z, c_HOL_Ominus__class_Ominus(V_A, hAPP(hAPP(c_Set_Oinsert(T_a), V_x), c_Orderings_Obot__class_Obot(tc_fun(T_a, tc_bool))), tc_fun(T_a, tc_bool)), T_a, T_b), V_y)) )).
% 12.73/12.90 cnf(matrix-941, plain, ( ( c_Finite__Set_Osetsum(V_f, c_HOL_Ominus__class_Ominus(V_A, hAPP(hAPP(c_Set_Oinsert(T_a), V_a), c_Orderings_Obot__class_Obot(tc_fun(T_a, tc_bool))), tc_fun(T_a, tc_bool)), T_a, tc_nat) = c_Finite__Set_Osetsum(V_f, V_A, T_a, tc_nat)) | hBOOL(hAPP(hAPP(c_in(T_a), V_a), V_A)) )).
% 12.73/12.90 cnf(matrix-942, plain, ( hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(tc_fun(T_a, tc_bool)), V_A), hAPP(hAPP(c_Set_Oinsert(T_a), V_x), V_B))) | ~hBOOL(hAPP(hAPP(c_in(T_a), V_x), V_A)) | ~hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(tc_fun(T_a, tc_bool)), c_HOL_Ominus__class_Ominus(V_A, hAPP(hAPP(c_Set_Oinsert(T_a), V_x), c_Orderings_Obot__class_Obot(tc_fun(T_a, tc_bool))), tc_fun(T_a, tc_bool))), V_B)) | ~hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(tc_fun(T_a, tc_bool)), V_A), V_B)) )).
% 12.73/12.90 cnf(matrix-943, plain, ( hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(tc_fun(T_a, tc_bool)), V_A), hAPP(hAPP(c_Set_Oinsert(T_a), V_x), V_B))) | ~hBOOL(hAPP(hAPP(c_in(T_a), V_x), V_A)) | ~hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(tc_fun(T_a, tc_bool)), c_HOL_Ominus__class_Ominus(V_A, hAPP(hAPP(c_Set_Oinsert(T_a), V_x), c_Orderings_Obot__class_Obot(tc_fun(T_a, tc_bool))), tc_fun(T_a, tc_bool))), V_B)) | hBOOL(hAPP(hAPP(c_in(T_a), V_x), V_B)) )).
% 12.73/12.90 cnf(matrix-944, plain, ( hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(tc_fun(T_a, tc_bool)), c_HOL_Ominus__class_Ominus(V_A, hAPP(hAPP(c_Set_Oinsert(T_a), V_x), c_Orderings_Obot__class_Obot(tc_fun(T_a, tc_bool))), tc_fun(T_a, tc_bool))), V_B)) | ~hBOOL(hAPP(hAPP(c_in(T_a), V_x), V_A)) | hBOOL(hAPP(hAPP(c_in(T_a), V_x), V_B)) | ~hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(tc_fun(T_a, tc_bool)), V_A), hAPP(hAPP(c_Set_Oinsert(T_a), V_x), V_B))) )).
% 12.73/12.90 cnf(matrix-945, plain, ( hBOOL(hAPP(hAPP(c_lessequals(tc_fun(T_a, tc_bool)), V_A), hAPP(hAPP(c_Set_Oinsert(T_a), V_x), V_B))) | ~hBOOL(hAPP(hAPP(c_in(T_a), V_x), V_A)) | ~hBOOL(hAPP(hAPP(c_lessequals(tc_fun(T_a, tc_bool)), c_HOL_Ominus__class_Ominus(V_A, hAPP(hAPP(c_Set_Oinsert(T_a), V_x), c_Orderings_Obot__class_Obot(tc_fun(T_a, tc_bool))), tc_fun(T_a, tc_bool))), V_B)) )).
% 12.73/12.90 cnf(matrix-946, plain, ( hBOOL(hAPP(hAPP(c_lessequals(tc_fun(T_a, tc_bool)), V_A), hAPP(hAPP(c_Set_Oinsert(T_a), V_x), V_B))) | ~hBOOL(hAPP(hAPP(c_in(T_a), V_x), V_A)) | ~hBOOL(hAPP(hAPP(c_lessequals(tc_fun(T_a, tc_bool)), c_HOL_Ominus__class_Ominus(V_A, hAPP(hAPP(c_Set_Oinsert(T_a), V_x), c_Orderings_Obot__class_Obot(tc_fun(T_a, tc_bool))), tc_fun(T_a, tc_bool))), V_B)) )).
% 12.73/12.90 cnf(matrix-947, plain, ( hBOOL(hAPP(hAPP(c_lessequals(tc_fun(T_a, tc_bool)), c_HOL_Ominus__class_Ominus(V_A, hAPP(hAPP(c_Set_Oinsert(T_a), V_x), c_Orderings_Obot__class_Obot(tc_fun(T_a, tc_bool))), tc_fun(T_a, tc_bool))), V_B)) | ~hBOOL(hAPP(hAPP(c_in(T_a), V_x), V_A)) | ~hBOOL(hAPP(hAPP(c_lessequals(tc_fun(T_a, tc_bool)), V_A), hAPP(hAPP(c_Set_Oinsert(T_a), V_x), V_B))) )).
% 12.73/12.90 cnf(matrix-948, plain, ( c_Nitpick_Ofold__graph_H(V_f, V_z, V_A, hAPP(hAPP(V_f, V_x), V_y), T_a, T_b) | ~c_Nitpick_Ofold__graph_H(V_f, V_z, c_HOL_Ominus__class_Ominus(V_A, hAPP(hAPP(c_Set_Oinsert(T_a), V_x), c_Orderings_Obot__class_Obot(tc_fun(T_a, tc_bool))), tc_fun(T_a, tc_bool)), V_y, T_a, T_b) | ~hBOOL(hAPP(hAPP(c_in(T_a), V_x), V_A)) )).
% 12.73/12.90 cnf(matrix-949, plain, ( c_Map_Omap__le(c_Fun_Ofun__upd(V_m1, V_x, c_Option_Ooption_ONone(T_b), T_a, tc_Option_Ooption(T_b)), c_Fun_Ofun__upd(V_m2, V_x, hAPP(c_Option_Ooption_OSome(T_b), V_y), T_a, tc_Option_Ooption(T_b)), T_a, T_b) | ~c_Map_Omap__le(V_m1, V_m2, T_a, T_b) )).
% 12.73/12.90 cnf(matrix-950, plain, ( c_Map_Omap__le(V_m_092_060_094isub_0621, V_m_092_060_094isub_0622, T_a, T_b) | hBOOL(hAPP(hAPP(c_in(T_a), c_Map_Osko__Map__Xmap__le__def__1__1(V_m_092_060_094isub_0621, V_m_092_060_094isub_0622, T_a, T_b)), c_Map_Odom(V_m_092_060_094isub_0621, T_a, T_b))) )).
% 12.73/12.90 cnf(matrix-951, plain, ( ( hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(T_a, tc_bool)), c_Map_Odom(V_m1, T_a, T_b)), c_Map_Odom(V_m2, T_a, T_b)) != c_Orderings_Obot__class_Obot(tc_fun(T_a, tc_bool))) | ( c_Map_Omap__add(V_m1, V_m2, T_a, T_b) = c_Map_Omap__add(V_m2, V_m1, T_a, T_b)) )).
% 12.73/12.90 cnf(matrix-952, plain, ( ( hAPP(c_Map_Omap__add(V_m1, V_m2, t_a, T_b), v_x) = c_Option_Ooption_Ooption__case(hAPP(V_m1, v_x), c_Option_Ooption_OSome(T_b), hAPP(V_m2, v_x), tc_Option_Ooption(T_b), T_b)) )).
% 12.73/12.90 cnf(matrix-953, plain, ( hBOOL(hAPP(c_Finite__Set_Ofold1Set(V_f, V_A, T_a), c_ATP__Linkup_Osko__Finite__Set__Xfinite__nonempty__imp__fold1Set__1__1(V_A, V_f, T_a))) | ( V_A = c_Orderings_Obot__class_Obot(tc_fun(T_a, tc_bool))) | ~c_Finite__Set_Ofinite(V_A, T_a) )).
% 12.73/12.90 cnf(matrix-954, plain, ( hBOOL(hAPP(c_Finite__Set_Ofold__graph(V_times, V_z, hAPP(hAPP(c_Set_Oinsert(T_a), V_b), V_A), T_a, T_a), hAPP(hAPP(V_times, V_z), V_y))) | hBOOL(hAPP(hAPP(c_in(T_a), V_b), V_A)) | ~hBOOL(hAPP(c_Finite__Set_Ofold__graph(V_times, V_b, V_A, T_a, T_a), V_y)) | ~c_OrderedGroup_Oab__semigroup__mult(V_times, T_a) )).
% 12.73/12.90 cnf(matrix-955, plain, ( ( c_Map_Odom(c_Fun_Ofun__upd(V_f, V_x, V_y, T_a, tc_Option_Ooption(T_b)), T_a, T_b) = hAPP(hAPP(c_Set_Oinsert(T_a), V_x), c_Map_Odom(V_f, T_a, T_b))) | ( V_y = c_Option_Ooption_ONone(T_b)) )).
% 12.73/12.90 cnf(matrix-956, plain, ( hBOOL(hAPP(c_Finite__Set_Ofold1Set(V_f, hAPP(hAPP(c_Set_Oinsert(T_a), V_a), V_A), T_a), V_x)) | hBOOL(hAPP(hAPP(c_in(T_a), V_a), V_A)) | ~hBOOL(hAPP(c_Finite__Set_Ofold__graph(V_f, V_a, V_A, T_a, T_a), V_x)) )).
% 12.73/12.90 cnf(matrix-957, plain, ( ( c_Map_Odom(V_f, T_a, T_b) != c_Orderings_Obot__class_Obot(tc_fun(T_a, tc_bool))) | ( V_f = c_COMBK(c_Option_Ooption_ONone(T_b), tc_Option_Ooption(T_b), T_a)) )).
% 12.73/12.90 cnf(matrix-958, plain, ( ( c_Map_Odom(c_COMBK(c_Option_Ooption_ONone(T_b), tc_Option_Ooption(T_b), T_a), T_a, T_b) = c_Orderings_Obot__class_Obot(tc_fun(T_a, tc_bool))) )).
% 12.73/12.90 cnf(matrix-959, plain, ( ~class_Orderings_Olinorder(T_a) | hBOOL(hAPP(hAPP(c_lessequals(T_a), V_x), hAPP(c_Finite__Set_Olinorder__class_OMax(T_a), V_A))) | ~hBOOL(hAPP(hAPP(c_in(T_a), V_x), V_A)) | ~c_Finite__Set_Ofinite(V_A, T_a) )).
% 12.73/12.90 cnf(matrix-960, plain, ( ~class_Orderings_Olinorder(T_a) | hBOOL(hAPP(hAPP(c_lessequals(T_a), hAPP(c_Finite__Set_Olinorder__class_OMin(T_a), V_A)), V_x)) | ~hBOOL(hAPP(hAPP(c_in(T_a), V_x), V_A)) | ~c_Finite__Set_Ofinite(V_A, T_a) )).
% 12.73/12.90 cnf(matrix-961, plain, ( ~class_Orderings_Olinorder(T_a) | ( hAPP(c_Finite__Set_Olinorder__class_OMin(T_a), V_A) = V_x) | ~hBOOL(hAPP(hAPP(c_in(T_a), V_x), V_A)) | hBOOL(hAPP(hAPP(c_in(T_a), c_ATP__Linkup_Osko__Finite__Set__Xlinorder__class__XMin__eqI__1__1(V_A, V_x, T_a)), V_A)) | ~c_Finite__Set_Ofinite(V_A, T_a) )).
% 12.73/12.90 cnf(matrix-962, plain, ( ~class_Orderings_Olinorder(T_a) | ( hAPP(c_Finite__Set_Olinorder__class_OMax(T_a), V_A) = V_x) | ~hBOOL(hAPP(hAPP(c_in(T_a), V_x), V_A)) | hBOOL(hAPP(hAPP(c_in(T_a), c_ATP__Linkup_Osko__Finite__Set__Xlinorder__class__XMax__eqI__1__1(V_A, V_x, T_a)), V_A)) | ~c_Finite__Set_Ofinite(V_A, T_a) )).
% 12.73/12.90 cnf(matrix-963, plain, ( ( hAPP(V_m, V_a) = hAPP(c_Option_Ooption_OSome(T_b), c_Map_Osko__Map__XdomD__1__1(V_a, V_m, T_a, T_b))) | ~hBOOL(hAPP(hAPP(c_in(T_a), V_a), c_Map_Odom(V_m, T_a, T_b))) )).
% 12.73/12.90 cnf(matrix-964, plain, ( hBOOL(hAPP(hAPP(c_in(T_a), hAPP(c_Finite__Set_Ofold1(V_times, T_a), V_A)), V_A)) | ~hBOOL(hAPP(hAPP(c_in(T_a), hAPP(hAPP(V_times, c_ATP__Linkup_Osko__Finite__Set__Xab__semigroup__mult__Xfold1__in__1__1(V_times, T_a)), c_ATP__Linkup_Osko__Finite__Set__Xab__semigroup__mult__Xfold1__in__1__2(V_times, T_a))), hAPP(hAPP(c_Set_Oinsert(T_a), c_ATP__Linkup_Osko__Finite__Set__Xab__semigroup__mult__Xfold1__in__1__1(V_times, T_a)), hAPP(hAPP(c_Set_Oinsert(T_a), c_ATP__Linkup_Osko__Finite__Set__Xab__semigroup__mult__Xfold1__in__1__2(V_times, T_a)), c_Orderings_Obot__class_Obot(tc_fun(T_a, tc_bool)))))) | ( V_A = c_Orderings_Obot__class_Obot(tc_fun(T_a, tc_bool))) | ~c_Finite__Set_Ofinite(V_A, T_a) | ~c_OrderedGroup_Oab__semigroup__mult(V_times, T_a) )).
% 12.73/12.90 cnf(matrix-965, plain, ( ( hAPP(c_Map_Orestrict__map(V_m, c_Orderings_Obot__class_Obot(tc_fun(t_a, tc_bool)), t_a, T_b), v_x) = c_Option_Ooption_ONone(T_b)) )).
% 12.73/12.90 cnf(matrix-966, plain, ( ~class_Complete__Lattice_Ocomplete__lattice(T_a) | ( c_Complete__Lattice_OInf__class_OInf(hAPP(hAPP(c_Set_Oinsert(T_a), V_a), hAPP(hAPP(c_Set_Oinsert(T_a), V_b), c_Orderings_Obot__class_Obot(tc_fun(T_a, tc_bool)))), T_a) = hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(T_a), V_a), V_b)) )).
% 12.73/12.90 cnf(matrix-967, plain, ( ( c_Finite__Set_Olattice_OSup__fin(V_sup, V_A, T_a) = hAPP(V_Sup, V_A)) | ( V_A = c_Orderings_Obot__class_Obot(tc_fun(T_a, tc_bool))) | ~c_Finite__Set_Ofinite(V_A, T_a) | ~c_Complete__Lattice_Ocomplete__lattice(V_Inf, V_Sup, V_less__eq, V_less, V_inf, V_sup, V_bot, V_top, T_a) )).
% 12.73/12.90 cnf(matrix-968, plain, ( ( c_Finite__Set_Olattice_OInf__fin(V_inf, V_A, T_a) = hAPP(V_Inf, V_A)) | ( V_A = c_Orderings_Obot__class_Obot(tc_fun(T_a, tc_bool))) | ~c_Finite__Set_Ofinite(V_A, T_a) | ~c_Complete__Lattice_Ocomplete__lattice(V_Inf, V_Sup, V_less__eq, V_less, V_inf, V_sup, V_bot, V_top, T_a) )).
% 12.73/12.90 cnf(matrix-969, plain, ( ~class_Complete__Lattice_Ocomplete__lattice(T_a) | ( hAPP(c_Finite__Set_Olattice__class_OInf__fin(T_a), V_A) = c_Complete__Lattice_OInf__class_OInf(V_A, T_a)) | ( V_A = c_Orderings_Obot__class_Obot(tc_fun(T_a, tc_bool))) | ~c_Finite__Set_Ofinite(V_A, T_a) )).
% 12.73/12.90 cnf(matrix-970, plain, ( ~c_Orderings_Olinorder(V_less__eq, V_less, T_a) | ( hAPP(c_Finite__Set_Ofold1(V_f, T_b), hAPP(hAPP(c_Set_Oinsert(T_b), V_a), c_Orderings_Obot__class_Obot(tc_fun(T_b, tc_bool)))) = V_a) )).
% 12.73/12.90 cnf(matrix-971, plain, ( ( c_Option_Oset(hAPP(c_Option_Ooption_OSome(T_a), V_x), T_a) = hAPP(hAPP(c_Set_Oinsert(T_a), V_x), c_Orderings_Obot__class_Obot(tc_fun(T_a, tc_bool)))) )).
% 12.73/12.90 cnf(matrix-972, plain, ( ( c_Set_Ovimage(c_COMBK(V_c, T_b, T_a), V_A, T_a, T_b) = c_Orderings_Obot__class_Obot(tc_fun(T_a, tc_bool))) | hBOOL(hAPP(hAPP(c_in(T_b), V_c), V_A)) )).
% 12.73/12.90 cnf(matrix-973, plain, ( hBOOL(hAPP(hAPP(V_less__eq, hAPP(c_Finite__Set_Ofold1(V_inf, T_a), V_A)), V_a)) | ~hBOOL(hAPP(hAPP(c_in(T_a), V_a), V_A)) | ~c_Finite__Set_Ofinite(V_A, T_a) | ~c_Lattices_Olower__semilattice(V_less__eq, V_less, V_inf, T_a) )).
% 12.73/12.90 cnf(matrix-974, plain, ( ~class_Orderings_Oorder(T_a) | ( c_HOL_Ominus__class_Ominus(hAPP(hAPP(c_Set_Oinsert(T_a), V_k), c_Orderings_Obot__class_Obot(tc_fun(T_a, tc_bool))), c_SetInterval_Oord__class_OlessThan(V_k, T_a), tc_fun(T_a, tc_bool)) = hAPP(hAPP(c_Set_Oinsert(T_a), V_k), c_Orderings_Obot__class_Obot(tc_fun(T_a, tc_bool)))) )).
% 12.73/12.90 cnf(matrix-975, plain, ( hBOOL(hAPP(hAPP(c_lessequals(tc_fun(T_a, tc_bool)), V_A), hAPP(hAPP(c_Set_Oinsert(T_a), V_x), V_B))) | ~hBOOL(hAPP(hAPP(c_lessequals(tc_fun(T_a, tc_bool)), V_A), V_B)) | ~hBOOL(hAPP(hAPP(c_lessequals(tc_fun(T_a, tc_bool)), c_HOL_Ominus__class_Ominus(V_A, hAPP(hAPP(c_Set_Oinsert(T_a), V_x), c_Orderings_Obot__class_Obot(tc_fun(T_a, tc_bool))), tc_fun(T_a, tc_bool))), V_B)) )).
% 12.73/12.90 cnf(matrix-976, plain, ( ( hAPP(hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(t_a, tc_bool)), hAPP(c_COMBC(c_in(t_a), t_a, tc_fun(t_a, tc_bool), tc_bool), V_R)), hAPP(c_COMBC(c_in(t_a), t_a, tc_fun(t_a, tc_bool), tc_bool), V_S)), v_x) = hAPP(hAPP(c_in(t_a), v_x), hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(t_a, tc_bool)), V_R), V_S))) )).
% 12.73/12.90 cnf(matrix-977, plain, ( ( hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(T_a, tc_bool)), V_A), V_B) = c_Finite__Set_Ofold(c_Set_Oinsert(T_a), V_B, V_A, T_a, tc_fun(T_a, tc_bool))) | ~c_Finite__Set_Ofinite(V_A, T_a) )).
% 12.73/12.90 cnf(matrix-978, plain, ( ~class_Complete__Lattice_Ocomplete__lattice(T_a) | ( c_Complete__Lattice_OSup__class_OSup(hAPP(hAPP(c_Set_Oinsert(T_a), V_a), hAPP(hAPP(c_Set_Oinsert(T_a), V_b), c_Orderings_Obot__class_Obot(tc_fun(T_a, tc_bool)))), T_a) = hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(T_a), V_a), V_b)) )).
% 12.73/12.90 cnf(matrix-979, plain, ( ~class_Lattices_Oupper__semilattice(T_a) | ( c_Finite__Set_Ofold(c_Lattices_Oupper__semilattice__class_Osup(T_a), V_b, hAPP(hAPP(c_Set_Oinsert(T_a), V_a), V_A), T_a, T_a) = hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(T_a), V_a), c_Finite__Set_Ofold(c_Lattices_Oupper__semilattice__class_Osup(T_a), V_b, V_A, T_a, T_a))) | ~c_Finite__Set_Ofinite(V_A, T_a) )).
% 12.73/12.90 cnf(matrix-980, plain, ( ~class_Lattices_Olattice(T_a) | ( hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(T_a), V_a), hAPP(c_Finite__Set_Olattice__class_OInf__fin(T_a), V_A)) = V_a) | ~hBOOL(hAPP(hAPP(c_in(T_a), V_a), V_A)) | ~c_Finite__Set_Ofinite(V_A, T_a) )).
% 12.73/12.90 cnf(matrix-981, plain, ( ( c_Finite__Set_Ocard(hAPP(hAPP(c_Set_Oinsert(T_a), V_x), V_A), T_a) = c_Finite__Set_Ocard(V_A, T_a)) | ~hBOOL(hAPP(hAPP(c_in(T_a), V_x), V_A)) | ~c_Finite__Set_Ofinite(V_A, T_a) )).
% 12.73/12.90 cnf(matrix-982, plain, ( ( c_Map_Odom(c_Fun_Ofun__upd(c_COMBK(c_Option_Ooption_ONone(T_b), tc_Option_Ooption(T_b), T_a), V_x, hAPP(c_Option_Ooption_OSome(T_b), V_xa), T_a, tc_Option_Ooption(T_b)), T_a, T_b) = hAPP(hAPP(c_Set_Oinsert(T_a), V_x), c_Orderings_Obot__class_Obot(tc_fun(T_a, tc_bool)))) )).
% 12.73/12.90 cnf(matrix-983, plain, ( ( c_Fun_Ofun__upd(c_Map_Orestrict__map(V_m, V_D, T_a, T_b), V_x, c_Option_Ooption_ONone(T_b), T_a, tc_Option_Ooption(T_b)) = c_Map_Orestrict__map(V_m, c_HOL_Ominus__class_Ominus(V_D, hAPP(hAPP(c_Set_Oinsert(T_a), V_x), c_Orderings_Obot__class_Obot(tc_fun(T_a, tc_bool))), tc_fun(T_a, tc_bool)), T_a, T_b)) | ~hBOOL(hAPP(hAPP(c_in(T_a), V_x), V_D)) )).
% 12.73/12.90 cnf(matrix-984, plain, ( ( c_Suc(c_Finite__Set_Ocard(c_HOL_Ominus__class_Ominus(V_A, hAPP(hAPP(c_Set_Oinsert(T_a), V_x), c_Orderings_Obot__class_Obot(tc_fun(T_a, tc_bool))), tc_fun(T_a, tc_bool)), T_a)) = c_Finite__Set_Ocard(V_A, T_a)) | ~hBOOL(hAPP(hAPP(c_in(T_a), V_x), V_A)) | ~c_Finite__Set_Ofinite(V_A, T_a) )).
% 12.73/12.90 cnf(matrix-985, plain, ( hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(tc_nat), c_Finite__Set_Ocard(c_HOL_Ominus__class_Ominus(V_A, hAPP(hAPP(c_Set_Oinsert(T_a), V_x), c_Orderings_Obot__class_Obot(tc_fun(T_a, tc_bool))), tc_fun(T_a, tc_bool)), T_a)), c_Finite__Set_Ocard(V_A, T_a))) | ~hBOOL(hAPP(hAPP(c_in(T_a), V_x), V_A)) | ~c_Finite__Set_Ofinite(V_A, T_a) )).
% 12.73/12.90 cnf(matrix-986, plain, ( ~class_Ring__and__Field_Ofield(T_b) | ( c_Finite__Set_Osetprod(V_f, c_HOL_Ominus__class_Ominus(V_A, hAPP(hAPP(c_Set_Oinsert(T_a), V_a), c_Orderings_Obot__class_Obot(tc_fun(T_a, tc_bool))), tc_fun(T_a, tc_bool)), T_a, T_b) = c_Finite__Set_Osetprod(V_f, V_A, T_a, T_b)) | hBOOL(hAPP(hAPP(c_in(T_a), V_a), V_A)) | ( hAPP(V_f, V_a) = c_HOL_Ozero__class_Ozero(T_b)) | ~c_Finite__Set_Ofinite(V_A, T_a) )).
% 12.73/12.90 cnf(matrix-987, plain, ( ( c_Finite__Set_Ofold(V_f, V_z, V_A, T_a, T_b) = hAPP(hAPP(V_f, V_x), c_Finite__Set_Ofold(V_f, V_z, c_HOL_Ominus__class_Ominus(V_A, hAPP(hAPP(c_Set_Oinsert(T_a), V_x), c_Orderings_Obot__class_Obot(tc_fun(T_a, tc_bool))), tc_fun(T_a, tc_bool)), T_a, T_b))) | ~hBOOL(hAPP(hAPP(c_in(T_a), V_x), V_A)) | ~c_Finite__Set_Ofinite(V_A, T_a) | ~c_Finite__Set_Ofun__left__comm(V_f, T_a, T_b) )).
% 12.73/12.90 cnf(matrix-988, plain, ( hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(tc_nat), c_Finite__Set_Ocard(c_HOL_Ominus__class_Ominus(c_HOL_Ominus__class_Ominus(V_A, hAPP(hAPP(c_Set_Oinsert(T_a), V_x), c_Orderings_Obot__class_Obot(tc_fun(T_a, tc_bool))), tc_fun(T_a, tc_bool)), hAPP(hAPP(c_Set_Oinsert(T_a), V_y), c_Orderings_Obot__class_Obot(tc_fun(T_a, tc_bool))), tc_fun(T_a, tc_bool)), T_a)), c_Finite__Set_Ocard(V_A, T_a))) | ~hBOOL(hAPP(hAPP(c_in(T_a), V_y), V_A)) | ~hBOOL(hAPP(hAPP(c_in(T_a), V_x), V_A)) | ~c_Finite__Set_Ofinite(V_A, T_a) )).
% 12.73/12.90 cnf(matrix-989, plain, ( ~class_OrderedGroup_Ocomm__monoid__add(T_b) | ( c_Finite__Set_Osetsum(V_f, V_A, T_a, T_b) = hAPP(hAPP(c_HOL_Oplus__class_Oplus(T_b), hAPP(V_f, V_a)), c_Finite__Set_Osetsum(V_f, c_HOL_Ominus__class_Ominus(V_A, hAPP(hAPP(c_Set_Oinsert(T_a), V_a), c_Orderings_Obot__class_Obot(tc_fun(T_a, tc_bool))), tc_fun(T_a, tc_bool)), T_a, T_b))) | ~hBOOL(hAPP(hAPP(c_in(T_a), V_a), V_A)) | ~c_Finite__Set_Ofinite(V_A, T_a) )).
% 12.73/12.90 cnf(matrix-990, plain, ( ( c_HOL_Ominus__class_Ominus(V_A, V_A, tc_fun(T_a, tc_bool)) = c_Orderings_Obot__class_Obot(tc_fun(T_a, tc_bool))) )).
% 12.73/12.90 cnf(matrix-991, plain, ( ( hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(T_a, tc_bool)), c_Orderings_Obot__class_Obot(tc_fun(T_a, tc_bool))), V_B) = V_B) )).
% 12.73/12.90 cnf(matrix-992, plain, ( ( hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(T_a, tc_bool)), V_A), c_Orderings_Obot__class_Obot(tc_fun(T_a, tc_bool))) = V_A) )).
% 12.73/12.90 cnf(matrix-993, plain, ( ( c_HOL_Ominus__class_Ominus(c_Orderings_Obot__class_Obot(tc_fun(T_a, tc_bool)), V_A, tc_fun(T_a, tc_bool)) = c_Orderings_Obot__class_Obot(tc_fun(T_a, tc_bool))) )).
% 12.73/12.90 cnf(matrix-994, plain, ( ~hBOOL(hAPP(c_Finite__Set_Ofold1Set(V_f, c_Orderings_Obot__class_Obot(tc_fun(T_a, tc_bool)), T_a), V_x)) )).
% 12.73/12.90 cnf(matrix-995, plain, ( ( hAPP(V_Sup, c_Orderings_Obot__class_Obot(tc_fun(T_a, tc_bool))) = V_bot) | ~c_Complete__Lattice_Ocomplete__lattice(V_Inf, V_Sup, V_less__eq, V_less, V_inf, V_sup, V_bot, V_top, T_a) )).
% 12.73/12.90 cnf(matrix-996, plain, ( ( hAPP(V_Inf, c_Orderings_Obot__class_Obot(tc_fun(T_a, tc_bool))) = V_top) | ~c_Complete__Lattice_Ocomplete__lattice(V_Inf, V_Sup, V_less__eq, V_less, V_inf, V_sup, V_bot, V_top, T_a) )).
% 12.73/12.90 cnf(matrix-997, plain, ( ( hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(T_a, tc_bool)), c_Orderings_Obot__class_Obot(tc_fun(T_a, tc_bool))), c_Orderings_Obot__class_Obot(tc_fun(T_a, tc_bool))) = c_Orderings_Obot__class_Obot(tc_fun(T_a, tc_bool))) )).
% 12.73/12.90 cnf(matrix-998, plain, ( ( c_Set_Ovimage(V_f, c_Orderings_Obot__class_Obot(tc_fun(T_b, tc_bool)), T_a, T_b) = c_Orderings_Obot__class_Obot(tc_fun(T_a, tc_bool))) )).
% 12.73/12.90 cnf(matrix-999, plain, ( ~class_Lattices_Obounded__lattice(T_a) | ( hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(T_a), V_A), V_B) != c_Orderings_Obot__class_Obot(T_a)) | ( V_B = c_Orderings_Obot__class_Obot(T_a)) )).
% 12.73/12.90 cnf(matrix-1000, plain, ( ~class_Lattices_Obounded__lattice(T_a) | ( hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(T_a), V_A), V_B) != c_Orderings_Obot__class_Obot(T_a)) | ( V_A = c_Orderings_Obot__class_Obot(T_a)) )).
% 12.73/12.90 cnf(matrix-1001, plain, ( ~class_Lattices_Obounded__lattice(T_a) | ( hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(T_a), V_x), c_Orderings_Obot__class_Obot(T_a)) = V_x) )).
% 12.73/12.90 cnf(matrix-1002, plain, ( ~class_Lattices_Obounded__lattice(T_a) | ( hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(T_a), c_Orderings_Obot__class_Obot(T_a)), V_x) = V_x) )).
% 12.73/12.90 cnf(matrix-1003, plain, ( ( hAPP(c_Finite__Set_Ofold1(V_times, T_a), hAPP(hAPP(c_Set_Oinsert(T_a), V_x), V_A)) = hAPP(hAPP(V_times, V_x), hAPP(c_Finite__Set_Ofold1(V_times, T_a), V_A))) | hBOOL(hAPP(hAPP(c_in(T_a), V_x), V_A)) | ~c_Finite__Set_Ofinite(V_A, T_a) | ( V_A = c_Orderings_Obot__class_Obot(tc_fun(T_a, tc_bool))) | ~c_OrderedGroup_Oab__semigroup__mult(V_times, T_a) )).
% 12.73/12.90 cnf(matrix-1004, plain, ( ~class_Orderings_Olinorder(T_a) | hBOOL(hAPP(hAPP(c_in(T_a), hAPP(c_Finite__Set_Olinorder__class_OMax(T_a), V_A)), V_A)) | ( V_A = c_Orderings_Obot__class_Obot(tc_fun(T_a, tc_bool))) | ~c_Finite__Set_Ofinite(V_A, T_a) )).
% 12.73/12.90 cnf(matrix-1005, plain, ( ~class_Orderings_Olinorder(T_a) | hBOOL(hAPP(hAPP(c_in(T_a), hAPP(c_Finite__Set_Olinorder__class_OMin(T_a), V_A)), V_A)) | ( V_A = c_Orderings_Obot__class_Obot(tc_fun(T_a, tc_bool))) | ~c_Finite__Set_Ofinite(V_A, T_a) )).
% 12.73/12.90 cnf(matrix-1006, plain, ( hBOOL(hAPP(hAPP(V_less__eq, V_x), hAPP(V_Sup, V_A))) | ~hBOOL(hAPP(hAPP(c_in(T_a), V_x), V_A)) | ~c_Complete__Lattice_Ocomplete__lattice(V_Inf, V_Sup, V_less__eq, V_less, V_inf, V_sup, V_bot, V_top, T_a) )).
% 12.73/12.90 cnf(matrix-1007, plain, ( hBOOL(hAPP(hAPP(V_less__eq, hAPP(V_Inf, V_A)), V_x)) | ~hBOOL(hAPP(hAPP(c_in(T_a), V_x), V_A)) | ~c_Complete__Lattice_Ocomplete__lattice(V_Inf, V_Sup, V_less__eq, V_less, V_inf, V_sup, V_bot, V_top, T_a) )).
% 12.73/12.90 cnf(matrix-1008, plain, ( hBOOL(hAPP(hAPP(c_in(T_b), hAPP(V_f, V_a)), V_A)) | ~hBOOL(hAPP(hAPP(c_in(T_a), V_a), c_Set_Ovimage(V_f, V_A, T_a, T_b))) )).
% 12.73/12.90 cnf(matrix-1009, plain, ( hBOOL(hAPP(hAPP(c_in(T_b), hAPP(V_f, V_a)), V_B)) | ~hBOOL(hAPP(hAPP(c_in(T_a), V_a), c_Set_Ovimage(V_f, V_B, T_a, T_b))) )).
% 12.73/12.90 cnf(matrix-1010, plain, ( hBOOL(hAPP(hAPP(c_in(T_b), V_a), c_Set_Ovimage(V_f, V_B, T_b, T_a))) | ~hBOOL(hAPP(hAPP(c_in(T_a), hAPP(V_f, V_a)), V_B)) )).
% 12.73/12.90 cnf(matrix-1011, plain, ( hBOOL(hAPP(hAPP(c_in(T_b), V_a), c_Set_Ovimage(V_f, V_A, T_b, T_a))) | ~hBOOL(hAPP(hAPP(c_in(T_a), hAPP(V_f, V_a)), V_A)) )).
% 12.73/12.90 cnf(matrix-1012, plain, ( hBOOL(hAPP(hAPP(c_in(T_a), V_a), c_Set_Ovimage(V_f, V_B, T_a, T_b))) | ~hBOOL(hAPP(hAPP(c_in(T_b), hAPP(V_f, V_a)), V_B)) )).
% 12.73/12.90 cnf(matrix-1013, plain, ( hBOOL(hAPP(hAPP(c_in(T_a), V_c), c_HOL_Ominus__class_Ominus(V_A, V_B, tc_fun(T_a, tc_bool)))) | hBOOL(hAPP(hAPP(c_in(T_a), V_c), V_B)) | ~hBOOL(hAPP(hAPP(c_in(T_a), V_c), V_A)) )).
% 12.73/12.90 cnf(matrix-1014, plain, ( hBOOL(hAPP(hAPP(c_in(T_a), V_c), c_HOL_Ominus__class_Ominus(V_A, V_B, tc_fun(T_a, tc_bool)))) | hBOOL(hAPP(hAPP(c_in(T_a), V_c), V_B)) | ~hBOOL(hAPP(hAPP(c_in(T_a), V_c), V_A)) )).
% 12.73/12.90 cnf(matrix-1015, plain, ( hBOOL(hAPP(hAPP(c_in(T_a), V_c), V_A)) | ~hBOOL(hAPP(hAPP(c_in(T_a), V_c), c_HOL_Ominus__class_Ominus(V_A, V_B, tc_fun(T_a, tc_bool)))) )).
% 12.73/12.90 cnf(matrix-1016, plain, ( ~hBOOL(hAPP(hAPP(c_in(T_a), V_c), V_B)) | ~hBOOL(hAPP(hAPP(c_in(T_a), V_c), c_HOL_Ominus__class_Ominus(V_A, V_B, tc_fun(T_a, tc_bool)))) )).
% 12.73/12.90 cnf(matrix-1017, plain, ( hBOOL(hAPP(hAPP(c_in(T_a), V_c), V_B)) | hBOOL(hAPP(hAPP(c_in(T_a), V_c), V_A)) | ~hBOOL(hAPP(hAPP(c_in(T_a), V_c), hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(T_a, tc_bool)), V_A), V_B))) )).
% 12.73/12.90 cnf(matrix-1018, plain, ( hBOOL(hAPP(hAPP(c_in(T_a), V_c), hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(T_a, tc_bool)), V_A), V_B))) | ~hBOOL(hAPP(hAPP(c_in(T_a), V_c), V_B)) )).
% 12.73/12.90 cnf(matrix-1019, plain, ( hBOOL(hAPP(hAPP(c_in(T_a), V_c), hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(T_a, tc_bool)), V_A), V_B))) | ~hBOOL(hAPP(hAPP(c_in(T_a), V_c), V_A)) )).
% 12.73/12.90 cnf(matrix-1020, plain, ( c_Map_Omap__le(c_Map_Omap__add(V_f, V_g, T_a, T_b), V_h, T_a, T_b) | ~c_Map_Omap__le(V_f, c_Map_Omap__add(V_f, V_g, T_a, T_b), T_a, T_b) | ~c_Map_Omap__le(V_g, V_h, T_a, T_b) | ~c_Map_Omap__le(V_f, V_h, T_a, T_b) )).
% 12.73/12.90 cnf(matrix-1021, plain, ( c_Map_Omap__le(V_f, c_Map_Omap__add(V_g, V_f, T_a, T_b), T_a, T_b) )).
% 12.73/12.90 cnf(matrix-1022, plain, ( ( hAPP(V_n, V_k) != hAPP(c_Option_Ooption_OSome(T_a), V_x)) | ( hAPP(c_Map_Omap__add(V_m, V_n, T_b, T_a), V_k) = hAPP(c_Option_Ooption_OSome(T_a), V_x)) )).
% 12.73/12.90 cnf(matrix-1023, plain, ( ( hAPP(V_n, V_k) != hAPP(c_Option_Ooption_OSome(T_a), V_xx)) | ( hAPP(c_Map_Omap__add(V_m, V_n, T_b, T_a), V_k) = hAPP(c_Option_Ooption_OSome(T_a), V_xx)) )).
% 12.73/12.90 cnf(matrix-1024, plain, ( ( hAPP(V_m, V_k) != c_Option_Ooption_ONone(T_a)) | ( hAPP(V_n, V_k) != c_Option_Ooption_ONone(T_a)) | ( hAPP(c_Map_Omap__add(V_m, V_n, T_b, T_a), V_k) = c_Option_Ooption_ONone(T_a)) )).
% 12.73/12.90 cnf(matrix-1025, plain, ( ( c_Set_Ovimage(V_f, hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(T_b, tc_bool)), V_A), V_B), T_a, T_b) = hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(T_a, tc_bool)), c_Set_Ovimage(V_f, V_A, T_a, T_b)), c_Set_Ovimage(V_f, V_B, T_a, T_b))) )).
% 12.73/12.90 cnf(matrix-1026, plain, ( ~class_Finite__Set_Ofinite_Ofinite(T_a) | c_Finite__Set_Ofinite(V_A, T_a) )).
% 12.73/12.90 cnf(matrix-1027, plain, ( ~class_Lattices_Olattice(T_a) | ( hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(T_a), V_x), hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(T_a), V_x), V_y)) = hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(T_a), V_x), V_y)) )).
% 12.73/12.90 cnf(matrix-1028, plain, ( ~class_Lattices_Oupper__semilattice(T_a) | ( hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(T_a), V_x), hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(T_a), V_x), V_y)) = hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(T_a), V_x), V_y)) )).
% 12.73/12.90 cnf(matrix-1029, plain, ( ( hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(T_a, tc_bool)), V_A), hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(T_a, tc_bool)), V_A), V_B)) = hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(T_a, tc_bool)), V_A), V_B)) )).
% 12.73/12.90 cnf(matrix-1030, plain, ( ~class_Lattices_Olattice(T_a) | ( hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(T_a), V_x), V_y) = hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(T_a), V_y), V_x)) )).
% 12.73/12.90 cnf(matrix-1031, plain, ( ~class_Lattices_Oupper__semilattice(T_a) | ( hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(T_a), V_x), V_y) = hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(T_a), V_y), V_x)) )).
% 12.73/12.90 cnf(matrix-1032, plain, ( ( hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(T_a, tc_bool)), V_A), V_B) = hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(T_a, tc_bool)), V_B), V_A)) )).
% 12.73/12.90 cnf(matrix-1033, plain, ( ( c_HOL_Ominus__class_Ominus(hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(T_a, tc_bool)), V_A), V_B), V_C, tc_fun(T_a, tc_bool)) = hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(T_a, tc_bool)), c_HOL_Ominus__class_Ominus(V_A, V_C, tc_fun(T_a, tc_bool))), c_HOL_Ominus__class_Ominus(V_B, V_C, tc_fun(T_a, tc_bool)))) )).
% 12.73/12.90 cnf(matrix-1034, plain, ( ~class_HOL_Ominus(T_b) | ( hAPP(c_HOL_Ominus__class_Ominus(V_A, V_B, tc_fun(t_a, T_b)), v_x) = c_HOL_Ominus__class_Ominus(hAPP(V_A, v_x), hAPP(V_B, v_x), T_b)) )).
% 12.73/12.90 cnf(matrix-1035, plain, ( ( hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(T_a, tc_bool)), V_A), c_HOL_Ominus__class_Ominus(V_B, V_A, tc_fun(T_a, tc_bool))) = hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(T_a, tc_bool)), V_A), V_B)) )).
% 12.73/12.90 cnf(matrix-1036, plain, ( ( hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(T_a, tc_bool)), c_HOL_Ominus__class_Ominus(V_B, V_A, tc_fun(T_a, tc_bool))), V_A) = hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(T_a, tc_bool)), V_B), V_A)) )).
% 12.73/12.90 cnf(matrix-1037, plain, ( ( hAPP(c_Map_Omap__add(V_m, V_n, T_b, T_a), V_k) != c_Option_Ooption_ONone(T_a)) | ( hAPP(V_n, V_k) = c_Option_Ooption_ONone(T_a)) )).
% 12.73/12.90 cnf(matrix-1038, plain, ( ( hAPP(c_Map_Omap__add(V_m, V_n, T_b, T_a), V_k) != c_Option_Ooption_ONone(T_a)) | ( hAPP(V_m, V_k) = c_Option_Ooption_ONone(T_a)) )).
% 12.73/12.90 cnf(matrix-1039, plain, ( ( hAPP(V_m, V_k) != hAPP(c_Option_Ooption_OSome(T_a), V_x)) | ( hAPP(V_n, V_k) != c_Option_Ooption_ONone(T_a)) | ( hAPP(c_Map_Omap__add(V_m, V_n, T_b, T_a), V_k) = hAPP(c_Option_Ooption_OSome(T_a), V_x)) )).
% 12.73/12.90 cnf(matrix-1040, plain, ( ( hAPP(c_Map_Omap__add(V_m, V_n, T_b, T_a), V_k) != hAPP(c_Option_Ooption_OSome(T_a), V_x)) | ( hAPP(V_m, V_k) = hAPP(c_Option_Ooption_OSome(T_a), V_x)) | ( hAPP(V_n, V_k) = hAPP(c_Option_Ooption_OSome(T_a), V_x)) )).
% 12.73/12.90 cnf(matrix-1041, plain, ( ~class_Lattices_Olattice(T_a) | ( hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(T_a), hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(T_a), V_x), V_y)), V_z) = hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(T_a), V_x), hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(T_a), V_y), V_z))) )).
% 12.73/12.90 cnf(matrix-1042, plain, ( ~class_Lattices_Olattice(T_a) | ( hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(T_a), V_x), hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(T_a), V_y), V_z)) = hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(T_a), V_y), hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(T_a), V_x), V_z))) )).
% 12.73/12.90 cnf(matrix-1043, plain, ( ~class_Lattices_Oupper__semilattice(T_a) | ( hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(T_a), V_x), hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(T_a), V_y), V_z)) = hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(T_a), V_y), hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(T_a), V_x), V_z))) )).
% 12.73/12.90 cnf(matrix-1044, plain, ( ~class_Lattices_Oupper__semilattice(T_a) | ( hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(T_a), hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(T_a), V_x), V_y)), V_z) = hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(T_a), V_x), hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(T_a), V_y), V_z))) )).
% 12.73/12.90 cnf(matrix-1045, plain, ( ( hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(T_a, tc_bool)), hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(T_a, tc_bool)), V_A), V_B)), V_C) = hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(T_a, tc_bool)), V_A), hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(T_a, tc_bool)), V_B), V_C))) )).
% 12.73/12.90 cnf(matrix-1046, plain, ( ( hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(T_a, tc_bool)), V_A), hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(T_a, tc_bool)), V_B), V_C)) = hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(T_a, tc_bool)), V_B), hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(T_a, tc_bool)), V_A), V_C))) )).
% 12.73/12.90 cnf(matrix-1047, plain, ( ~class_OrderedGroup_Oab__group__add(T_a) | ( c_HOL_Ominus__class_Ominus(V_x, V_x, T_a) != c_HOL_Ominus__class_Ominus(V_x_H, V_y_H, T_a)) | ( V_x_H = V_y_H) )).
% 12.73/12.90 cnf(matrix-1048, plain, ( ~class_OrderedGroup_Oab__group__add(T_a) | ( c_HOL_Ominus__class_Ominus(V_xa, V_y, T_a) != c_HOL_Ominus__class_Ominus(V_x, V_x, T_a)) | ( V_xa = V_y) )).
% 12.73/12.90 cnf(matrix-1049, plain, ( ( c_Option_Ooption_ONone(T_a) != hAPP(c_Option_Ooption_OSome(T_a), V_a_H)) )).
% 12.73/12.90 cnf(matrix-1050, plain, ( ( c_Option_Ooption_ONone(T_a) != hAPP(c_Option_Ooption_OSome(T_a), V_y)) )).
% 12.73/12.90 cnf(matrix-1051, plain, ( ( c_HOL_Ominus__class_Ominus(c_HOL_Ominus__class_Ominus(V_A, V_B, tc_fun(T_a, tc_bool)), V_B, tc_fun(T_a, tc_bool)) = c_HOL_Ominus__class_Ominus(V_A, V_B, tc_fun(T_a, tc_bool))) )).
% 12.73/12.90 cnf(matrix-1052, plain, ( ~class_Lattices_Oupper__semilattice(T_a) | ( hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(T_a), V_x), V_x) = V_x) )).
% 12.73/12.90 cnf(matrix-1053, plain, ( ( hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(T_a, tc_bool)), V_A), V_A) = V_A) )).
% 12.73/12.90 cnf(matrix-1054, plain, ( ~class_Lattices_Olattice(T_b) | ( hAPP(hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(t_a, T_b)), V_f), V_g), v_x) = hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(T_b), hAPP(V_f, v_x)), hAPP(V_g, v_x))) )).
% 12.73/12.90 cnf(matrix-1055, plain, ( ( hAPP(c_Finite__Set_Ofold1(V_f, T_a), V_A) = c_The(c_Finite__Set_Ofold1Set(V_f, V_A, T_a), T_a)) )).
% 12.73/12.90 cnf(matrix-1056, plain, ( c_Finite__Set_Ofinite(c_HOL_Ominus__class_Ominus(V_A, V_B, tc_fun(T_a, tc_bool)), T_a) | ~c_Finite__Set_Ofinite(V_A, T_a) )).
% 12.73/12.90 cnf(matrix-1057, plain, ( ( c_Set_Ovimage(V_f, c_HOL_Ominus__class_Ominus(V_A, V_B, tc_fun(T_b, tc_bool)), T_a, T_b) = c_HOL_Ominus__class_Ominus(c_Set_Ovimage(V_f, V_A, T_a, T_b), c_Set_Ovimage(V_f, V_B, T_a, T_b), tc_fun(T_a, tc_bool))) )).
% 12.73/12.90 cnf(matrix-1058, plain, ( ( c_Com_Ocom_OSemi(V_com1, V_com2) != c_Com_Ocom_OSemi(V_com1_H, V_com2_H)) | ( V_com2 = V_com2_H) )).
% 12.73/12.90 cnf(matrix-1059, plain, ( ( c_Com_Ocom_OSemi(V_com1, V_com2) != c_Com_Ocom_OSemi(V_com1_H, V_com2_H)) | ( V_com1 = V_com1_H) )).
% 12.73/12.90 cnf(matrix-1060, plain, ( c_Finite__Set_Ofinite(V_A, T_a) | ~c_Finite__Set_Ofinite(c_HOL_Ominus__class_Ominus(V_A, V_B, tc_fun(T_a, tc_bool)), T_a) | ~c_Finite__Set_Ofinite(V_B, T_a) )).
% 12.73/12.90 cnf(matrix-1061, plain, ( c_Finite__Set_Ofinite(c_HOL_Ominus__class_Ominus(V_A, V_B, tc_fun(T_a, tc_bool)), T_a) | ~c_Finite__Set_Ofinite(V_A, T_a) | ~c_Finite__Set_Ofinite(V_B, T_a) )).
% 12.73/12.90 cnf(matrix-1062, plain, ( c_Map_Omap__le(V_g, V_h, T_a, T_b) | ~c_Map_Omap__le(c_Map_Omap__add(V_f, V_g, T_a, T_b), V_h, T_a, T_b) )).
% 12.73/12.90 cnf(matrix-1063, plain, ( c_Map_Omap__le(V_f, V_f, T_a, T_b) )).
% 12.73/12.90 cnf(matrix-1064, plain, ( c_Map_Omap__le(V_m1, V_m3, T_a, T_b) | ~c_Map_Omap__le(V_m2, V_m3, T_a, T_b) | ~c_Map_Omap__le(V_m1, V_m2, T_a, T_b) )).
% 12.73/12.90 cnf(matrix-1065, plain, ( ( c_Map_Odom(c_Map_Omap__add(V_m, V_n, T_a, T_b), T_a, T_b) = hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(T_a, tc_bool)), c_Map_Odom(V_n, T_a, T_b)), c_Map_Odom(V_m, T_a, T_b))) )).
% 12.73/12.90 cnf(matrix-1066, plain, ( c_Finite__Set_Ofinite(hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(T_a, tc_bool)), V_F), V_G), T_a) | ~c_Finite__Set_Ofinite(V_G, T_a) | ~c_Finite__Set_Ofinite(V_F, T_a) )).
% 12.73/12.90 cnf(matrix-1067, plain, ( c_Finite__Set_Ofinite(hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(T_a, tc_bool)), V_F), V_G), T_a) | ~c_Finite__Set_Ofinite(V_G, T_a) | ~c_Finite__Set_Ofinite(V_F, T_a) )).
% 12.73/12.90 cnf(matrix-1068, plain, ( ( hAPP(c_Option_Ooption_OSome(T_a), V_a_H) != c_Option_Ooption_ONone(T_a)) )).
% 12.73/12.90 cnf(matrix-1069, plain, ( ( hAPP(c_Option_Ooption_OSome(T_a), V_xa) != c_Option_Ooption_ONone(T_a)) )).
% 12.73/12.90 cnf(matrix-1070, plain, ( ( hAPP(c_Option_Ooption_OSome(T_a), V_a) != hAPP(c_Option_Ooption_OSome(T_a), V_a_H)) | ( V_a = V_a_H) )).
% 12.73/12.90 cnf(matrix-1071, plain, ( ( c_Map_Omap__add(V_m1, c_Map_Omap__add(V_m2, V_m3, T_a, T_b), T_a, T_b) = c_Map_Omap__add(c_Map_Omap__add(V_m1, V_m2, T_a, T_b), V_m3, T_a, T_b)) )).
% 12.73/12.90 cnf(matrix-1072, plain, ( ( hAPP(hAPP(V_times, hAPP(hAPP(V_times, V_a), V_b)), V_c) = hAPP(hAPP(V_times, V_a), hAPP(hAPP(V_times, V_b), V_c))) | ~c_OrderedGroup_Oab__semigroup__mult(V_times, T_a) )).
% 12.73/12.90 cnf(matrix-1073, plain, ( ( hAPP(hAPP(V_times, V_a), hAPP(hAPP(V_times, V_b), V_c)) = hAPP(hAPP(V_times, V_b), hAPP(hAPP(V_times, V_a), V_c))) | ~c_OrderedGroup_Oab__semigroup__mult(V_times, T_a) )).
% 12.73/12.90 cnf(matrix-1074, plain, ( ( hAPP(hAPP(V_times, V_a), V_b) = hAPP(hAPP(V_times, V_b), V_a)) | ~c_OrderedGroup_Oab__semigroup__mult(V_times, T_a) )).
% 12.73/12.90 cnf(matrix-1075, plain, ( hBOOL(hAPP(V_B, V_x)) | hBOOL(hAPP(V_A, V_x)) | ~hBOOL(hAPP(hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(T_a, tc_bool)), V_A), V_B), V_x)) )).
% 12.73/12.90 cnf(matrix-1076, plain, ( hBOOL(hAPP(hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(T_a, tc_bool)), V_A), V_B), V_x)) | ~hBOOL(hAPP(V_B, V_x)) )).
% 12.73/12.90 cnf(matrix-1077, plain, ( hBOOL(hAPP(hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(T_a, tc_bool)), V_A), V_B), V_x)) | ~hBOOL(hAPP(V_A, V_x)) )).
% 12.73/12.90 cnf(matrix-1078, plain, ( c_Finite__Set_Ofinite(V_F, T_a) | ~c_Finite__Set_Ofinite(hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(T_a, tc_bool)), V_F), V_G), T_a) )).
% 12.73/12.90 cnf(matrix-1079, plain, ( c_Finite__Set_Ofinite(V_G, T_a) | ~c_Finite__Set_Ofinite(hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(T_a, tc_bool)), V_F), V_G), T_a) )).
% 12.73/12.90 cnf(matrix-1080, plain, ( ( c_Map_Omap__add(V_f, V_g, T_a, T_b) = c_Map_Omap__add(V_g, V_f, T_a, T_b)) | ~c_Map_Omap__le(V_f, c_Map_Omap__add(V_f, V_g, T_a, T_b), T_a, T_b) )).
% 12.73/12.90 cnf(matrix-1081, plain, ( ( c_Map_Omap__add(V_f, V_g, T_a, T_b) != c_Map_Omap__add(V_g, V_f, T_a, T_b)) | c_Map_Omap__le(V_f, c_Map_Omap__add(V_f, V_g, T_a, T_b), T_a, T_b) )).
% 12.73/12.90 cnf(matrix-1082, plain, ( ( V_f = V_g) | ~c_Map_Omap__le(V_g, V_f, T_a, T_b) | ~c_Map_Omap__le(V_f, V_g, T_a, T_b) )).
% 12.73/12.90 cnf(matrix-1083, plain, ( ( hAPP(c_Map_Omap__add(V_m, V_n, T_b, T_a), V_k) != hAPP(c_Option_Ooption_OSome(T_a), V_x)) | ( hAPP(V_n, V_k) = c_Option_Ooption_ONone(T_a)) | ( hAPP(V_n, V_k) = hAPP(c_Option_Ooption_OSome(T_a), V_x)) )).
% 12.73/12.90 cnf(matrix-1084, plain, ( c_Finite__Set_Ofinite(c_HOL_Ominus__class_Ominus(V_A, V_B, tc_fun(T_a, tc_bool)), T_a) | ~c_Finite__Set_Ofinite(c_HOL_Ominus__class_Ominus(V_A, hAPP(hAPP(c_Set_Oinsert(T_a), V_a), V_B), tc_fun(T_a, tc_bool)), T_a) )).
% 12.73/12.90 cnf(matrix-1085, plain, ( c_Finite__Set_Ofinite(c_HOL_Ominus__class_Ominus(V_A, hAPP(hAPP(c_Set_Oinsert(T_a), V_a), V_B), tc_fun(T_a, tc_bool)), T_a) | ~c_Finite__Set_Ofinite(c_HOL_Ominus__class_Ominus(V_A, V_B, tc_fun(T_a, tc_bool)), T_a) )).
% 12.73/12.90 cnf(matrix-1086, plain, ( hBOOL(hAPP(V_A, hAPP(V_f, V_x))) | ~hBOOL(hAPP(c_Set_Ovimage(V_f, V_A, T_a, T_b), V_x)) )).
% 12.73/12.90 cnf(matrix-1087, plain, ( hBOOL(hAPP(c_Set_Ovimage(V_f, V_A, T_a, T_b), V_x)) | ~hBOOL(hAPP(V_A, hAPP(V_f, V_x))) )).
% 12.73/12.90 cnf(matrix-1088, plain, ( ( c_The(hAPP(c_fequal(T_a), V_x), T_a) = V_x) )).
% 12.73/12.90 cnf(matrix-1089, plain, ( ( c_Option_Othe(hAPP(c_Option_Ooption_OSome(T_a), V_x), T_a) = V_x) )).
% 12.73/12.90 cnf(matrix-1090, plain, ( hBOOL(hAPP(c_Finite__Set_Ofold1Set(V_f, hAPP(hAPP(c_Set_Oinsert(T_a), V_x), c_Orderings_Obot__class_Obot(tc_fun(T_a, tc_bool))), T_a), V_x)) )).
% 12.73/12.90 cnf(matrix-1091, plain, ( ~class_Orderings_Olinorder(T_a) | ( hAPP(c_Finite__Set_Olinorder__class_OMin(T_a), hAPP(hAPP(c_Set_Oinsert(T_a), V_a), c_Orderings_Obot__class_Obot(tc_fun(T_a, tc_bool)))) = V_a) )).
% 12.73/12.90 cnf(matrix-1092, plain, ( ( c_The(hAPP(hAPP(c_Set_Oinsert(T_a), V_x), c_Orderings_Obot__class_Obot(tc_fun(T_a, tc_bool))), T_a) = V_x) )).
% 12.73/12.90 cnf(matrix-1093, plain, ( ( hAPP(V_Inf, hAPP(hAPP(c_Set_Oinsert(T_a), V_a), hAPP(hAPP(c_Set_Oinsert(T_a), V_b), c_Orderings_Obot__class_Obot(tc_fun(T_a, tc_bool))))) = hAPP(hAPP(V_inf, V_a), V_b)) | ~c_Complete__Lattice_Ocomplete__lattice(V_Inf, V_Sup, V_less__eq, V_less, V_inf, V_sup, V_bot, V_top, T_a) )).
% 12.73/12.90 cnf(matrix-1094, plain, ( ( hAPP(V_Sup, hAPP(hAPP(c_Set_Oinsert(T_a), V_a), hAPP(hAPP(c_Set_Oinsert(T_a), V_b), c_Orderings_Obot__class_Obot(tc_fun(T_a, tc_bool))))) = hAPP(hAPP(V_sup, V_a), V_b)) | ~c_Complete__Lattice_Ocomplete__lattice(V_Inf, V_Sup, V_less__eq, V_less, V_inf, V_sup, V_bot, V_top, T_a) )).
% 12.73/12.90 cnf(matrix-1095, plain, ( ( c_HOL_Ominus__class_Ominus(V_A, hAPP(hAPP(c_Set_Oinsert(T_a), V_a), V_B), tc_fun(T_a, tc_bool)) = c_HOL_Ominus__class_Ominus(c_HOL_Ominus__class_Ominus(V_A, hAPP(hAPP(c_Set_Oinsert(T_a), V_a), c_Orderings_Obot__class_Obot(tc_fun(T_a, tc_bool))), tc_fun(T_a, tc_bool)), V_B, tc_fun(T_a, tc_bool))) )).
% 12.73/12.90 cnf(matrix-1096, plain, ( ( c_HOL_Ominus__class_Ominus(V_A, hAPP(hAPP(c_Set_Oinsert(T_a), V_a), V_B), tc_fun(T_a, tc_bool)) = c_HOL_Ominus__class_Ominus(c_HOL_Ominus__class_Ominus(V_A, V_B, tc_fun(T_a, tc_bool)), hAPP(hAPP(c_Set_Oinsert(T_a), V_a), c_Orderings_Obot__class_Obot(tc_fun(T_a, tc_bool))), tc_fun(T_a, tc_bool))) )).
% 12.73/12.90 cnf(matrix-1097, plain, ( ( V_a = V_b) | ~hBOOL(hAPP(c_Finite__Set_Ofold1Set(V_f, hAPP(hAPP(c_Set_Oinsert(T_a), V_a), c_Orderings_Obot__class_Obot(tc_fun(T_a, tc_bool))), T_a), V_b)) )).
% 12.73/12.90 cnf(matrix-1098, plain, ( ( c_Set_Ocontents(hAPP(hAPP(c_Set_Oinsert(T_a), V_x), c_Orderings_Obot__class_Obot(tc_fun(T_a, tc_bool))), T_a) = V_x) )).
% 12.73/12.90 cnf(matrix-1099, plain, ( ( V_y = c_Nitpick_Osko__Nitpick__XEx1__def__1__3(hAPP(hAPP(c_Set_Oinsert(T_a), V_x), c_Orderings_Obot__class_Obot(tc_fun(T_a, tc_bool))), T_a)) | ~hBOOL(hAPP(hAPP(hAPP(c_Set_Oinsert(T_a), V_x), c_Orderings_Obot__class_Obot(tc_fun(T_a, tc_bool))), V_y)) )).
% 12.73/12.90 cnf(matrix-1100, plain, ( ( hAPP(c_Finite__Set_Ofold1(V_f, T_a), hAPP(hAPP(c_Set_Oinsert(T_a), V_a), c_Orderings_Obot__class_Obot(tc_fun(T_a, tc_bool)))) = V_a) )).
% 12.73/12.90 cnf(matrix-1101, plain, ( ~class_Orderings_Olinorder(T_a) | ( hAPP(c_Finite__Set_Olinorder__class_OMax(T_a), hAPP(hAPP(c_Set_Oinsert(T_a), V_a), c_Orderings_Obot__class_Obot(tc_fun(T_a, tc_bool)))) = V_a) )).
% 12.73/12.90 cnf(matrix-1102, plain, ( ( hAPP(hAPP(c_Set_Oinsert(T_a), V_a), c_HOL_Ominus__class_Ominus(V_A, hAPP(hAPP(c_Set_Oinsert(T_a), V_a), c_Orderings_Obot__class_Obot(tc_fun(T_a, tc_bool))), tc_fun(T_a, tc_bool))) = hAPP(hAPP(c_Set_Oinsert(T_a), V_a), V_A)) )).
% 12.73/12.90 cnf(matrix-1103, plain, ( ~class_Orderings_Oorder(T_a) | ( c_SetInterval_Oord__class_OatLeastAtMost(V_a, V_a, T_a) = hAPP(hAPP(c_Set_Oinsert(T_a), V_a), c_Orderings_Obot__class_Obot(tc_fun(T_a, tc_bool)))) )).
% 12.73/12.90 cnf(matrix-1104, plain, ( ( hAPP(hAPP(c_Set_Oinsert(T_a), V_a), V_A) = hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(T_a, tc_bool)), hAPP(hAPP(c_Set_Oinsert(T_a), V_a), c_Orderings_Obot__class_Obot(tc_fun(T_a, tc_bool)))), V_A)) )).
% 12.73/12.90 cnf(matrix-1105, plain, ( ~class_Complete__Lattice_Ocomplete__lattice(T_a) | ( c_Complete__Lattice_OInf__class_OInf(hAPP(hAPP(c_Set_Oinsert(T_a), V_a), c_Orderings_Obot__class_Obot(tc_fun(T_a, tc_bool))), T_a) = V_a) )).
% 12.73/12.90 cnf(matrix-1106, plain, ( ( hAPP(c_Map_Omap__add(V_l1, V_l2, T_a, T_b), V_m) = hAPP(V_l1, V_m)) | hBOOL(hAPP(hAPP(c_in(T_a), V_m), c_Map_Odom(V_l2, T_a, T_b))) )).
% 12.73/12.90 cnf(matrix-1107, plain, ( ( hAPP(c_Map_Omap__add(V_l1, V_l2, T_a, T_b), V_m) = hAPP(V_l2, V_m)) | hBOOL(hAPP(hAPP(c_in(T_a), V_m), c_Map_Odom(V_l1, T_a, T_b))) )).
% 12.73/12.90 cnf(matrix-1108, plain, ( hBOOL(hAPP(hAPP(c_in(T_a), V_a), c_Map_Odom(V_m, T_a, T_b))) | ( hAPP(V_m, V_a) = c_Option_Ooption_ONone(T_b)) )).
% 12.73/12.90 cnf(matrix-1109, plain, ( ( hAPP(V_m, V_a) != c_Option_Ooption_ONone(T_b)) | ~hBOOL(hAPP(hAPP(c_in(T_a), V_a), c_Map_Odom(V_m, T_a, T_b))) )).
% 12.73/12.90 cnf(matrix-1110, plain, ( ( hAPP(V_m, V_a) != hAPP(c_Option_Ooption_OSome(T_a), V_b)) | hBOOL(hAPP(hAPP(c_in(T_b), V_a), c_Map_Odom(V_m, T_b, T_a))) )).
% 12.73/12.90 cnf(matrix-1111, plain, ( ( hAPP(V_m_092_060_094isub_0621, V_x) = hAPP(V_m_092_060_094isub_0622, V_x)) | ~hBOOL(hAPP(hAPP(c_in(T_a), V_x), c_Map_Odom(V_m_092_060_094isub_0621, T_a, T_b))) | ~c_Map_Omap__le(V_m_092_060_094isub_0621, V_m_092_060_094isub_0622, T_a, T_b) )).
% 12.73/12.90 cnf(matrix-1112, plain, ( ( hAPP(c_Map_Omap__add(V_l1, V_l2, T_a, T_b), V_m) = hAPP(V_l2, V_m)) | ~hBOOL(hAPP(hAPP(c_in(T_a), V_m), c_Map_Odom(V_l2, T_a, T_b))) )).
% 12.73/12.90 cnf(matrix-1113, plain, ( ( hAPP(V_f, V_x) != hAPP(c_Option_Ooption_OSome(T_a), V_y)) | ( hAPP(hAPP(c_Set_Oinsert(T_b), V_x), c_Map_Odom(V_f, T_b, T_a)) = c_Map_Odom(V_f, T_b, T_a)) )).
% 12.73/12.90 cnf(matrix-1114, plain, ( c_Hoare__Mirabelle_Ohoare__derivs(V_G, hAPP(hAPP(c_Set_Oinsert(tc_Hoare__Mirabelle_Otriple(t_a)), c_Hoare__Mirabelle_Otriple_Otriple(V_P, V_c, V_Q, t_a)), c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(t_a), tc_bool))), t_a) | hBOOL(hAPP(hAPP(V_xa, V_Z_H), v_sko__Hoare__Mirabelle__Xhoare__derivs__Xconseq__3(V_G, V_P, V_Q, V_c, V_x, V_xa))) | ~hBOOL(hAPP(hAPP(V_x, V_Z_H), v_sko__Hoare__Mirabelle__Xhoare__derivs__Xconseq__2(V_G, V_P, V_Q, V_c))) | ~c_Hoare__Mirabelle_Ohoare__derivs(V_G, hAPP(hAPP(c_Set_Oinsert(tc_Hoare__Mirabelle_Otriple(t_a)), c_Hoare__Mirabelle_Otriple_Otriple(V_x, V_c, V_xa, t_a)), c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(t_a), tc_bool))), t_a) )).
% 12.73/12.90 cnf(matrix-1115, plain, ( c_Hoare__Mirabelle_Ohoare__derivs(V_G, hAPP(hAPP(c_Set_Oinsert(tc_Hoare__Mirabelle_Otriple(t_a)), c_Hoare__Mirabelle_Otriple_Otriple(V_P, V_c, V_Q, t_a)), c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(t_a), tc_bool))), t_a) | hBOOL(hAPP(hAPP(V_Q_H, V_Z_H), v_sko__Hoare__Mirabelle__Xconseq12__3(V_P, V_P_H, V_Q, V_Q_H))) | ~hBOOL(hAPP(hAPP(V_P_H, V_Z_H), v_sko__Hoare__Mirabelle__Xconseq12__2(V_P, V_P_H, V_Q, V_Q_H))) | ~c_Hoare__Mirabelle_Ohoare__derivs(V_G, hAPP(hAPP(c_Set_Oinsert(tc_Hoare__Mirabelle_Otriple(t_a)), c_Hoare__Mirabelle_Otriple_Otriple(V_P_H, V_c, V_Q_H, t_a)), c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(t_a), tc_bool))), t_a) )).
% 12.73/12.90 cnf(matrix-1116, plain, ( c_Hoare__Mirabelle_Ohoare__derivs(V_G, hAPP(hAPP(c_Set_Oinsert(tc_Hoare__Mirabelle_Otriple(t_a)), c_Hoare__Mirabelle_Otriple_Otriple(V_P, V_c, V_Q, t_a)), c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(t_a), tc_bool))), t_a) | hBOOL(hAPP(hAPP(V_xa, V_Z_H), v_sko__Hoare__Mirabelle__Xhoare__derivs__Xintros__6__3(V_G, V_P, V_Q, V_c, V_x, V_xa))) | ~hBOOL(hAPP(hAPP(V_x, V_Z_H), v_sko__Hoare__Mirabelle__Xhoare__derivs__Xintros__6__2(V_G, V_P, V_Q, V_c))) | ~c_Hoare__Mirabelle_Ohoare__derivs(V_G, hAPP(hAPP(c_Set_Oinsert(tc_Hoare__Mirabelle_Otriple(t_a)), c_Hoare__Mirabelle_Otriple_Otriple(V_x, V_c, V_xa, t_a)), c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(t_a), tc_bool))), t_a) )).
% 12.73/12.90 cnf(matrix-1117, plain, ( c_Hoare__Mirabelle_Ohoare__derivs(V_G, hAPP(hAPP(c_Set_Oinsert(tc_Hoare__Mirabelle_Otriple(t_a)), c_Hoare__Mirabelle_Otriple_Otriple(V_P, V_c, V_Q, t_a)), c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(t_a), tc_bool))), t_a) | hBOOL(hAPP(hAPP(V_P, v_sko__Hoare__Mirabelle__Xhoare__derivs__Xintros__6__1(V_G, V_P, V_Q, V_c)), v_sko__Hoare__Mirabelle__Xhoare__derivs__Xintros__6__2(V_G, V_P, V_Q, V_c))) )).
% 12.73/12.90 cnf(matrix-1118, plain, ( c_Hoare__Mirabelle_Ohoare__derivs(V_G, hAPP(hAPP(c_Set_Oinsert(tc_Hoare__Mirabelle_Otriple(t_a)), c_Hoare__Mirabelle_Otriple_Otriple(V_P, V_c, V_Q, t_a)), c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(t_a), tc_bool))), t_a) | ~hBOOL(hAPP(hAPP(V_Q, v_sko__Hoare__Mirabelle__Xhoare__derivs__Xintros__6__1(V_G, V_P, V_Q, V_c)), v_sko__Hoare__Mirabelle__Xhoare__derivs__Xintros__6__3(V_G, V_P, V_Q, V_c, V_x, V_xa))) | ~c_Hoare__Mirabelle_Ohoare__derivs(V_G, hAPP(hAPP(c_Set_Oinsert(tc_Hoare__Mirabelle_Otriple(t_a)), c_Hoare__Mirabelle_Otriple_Otriple(V_x, V_c, V_xa, t_a)), c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(t_a), tc_bool))), t_a) )).
% 12.73/12.90 cnf(matrix-1119, plain, ( c_Hoare__Mirabelle_Ohoare__derivs(V_G, hAPP(hAPP(c_Set_Oinsert(tc_Hoare__Mirabelle_Otriple(t_a)), c_Hoare__Mirabelle_Otriple_Otriple(V_P, V_c, V_Q, t_a)), c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(t_a), tc_bool))), t_a) | hBOOL(hAPP(hAPP(V_P, v_sko__Hoare__Mirabelle__Xhoare__derivs__Xconseq__1(V_G, V_P, V_Q, V_c)), v_sko__Hoare__Mirabelle__Xhoare__derivs__Xconseq__2(V_G, V_P, V_Q, V_c))) )).
% 12.73/12.90 cnf(matrix-1120, plain, ( c_Hoare__Mirabelle_Ohoare__derivs(V_G, hAPP(hAPP(c_Set_Oinsert(tc_Hoare__Mirabelle_Otriple(t_a)), c_Hoare__Mirabelle_Otriple_Otriple(V_P, V_c, V_Q, t_a)), c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(t_a), tc_bool))), t_a) | hBOOL(hAPP(hAPP(V_Q_H, v_sko__Hoare__Mirabelle__Xconseq2__1(V_Q, V_Q_H)), v_sko__Hoare__Mirabelle__Xconseq2__2(V_Q, V_Q_H))) | ~c_Hoare__Mirabelle_Ohoare__derivs(V_G, hAPP(hAPP(c_Set_Oinsert(tc_Hoare__Mirabelle_Otriple(t_a)), c_Hoare__Mirabelle_Otriple_Otriple(V_P, V_c, V_Q_H, t_a)), c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(t_a), tc_bool))), t_a) )).
% 12.73/12.90 cnf(matrix-1121, plain, ( c_Hoare__Mirabelle_Ohoare__derivs(V_G, hAPP(hAPP(c_Set_Oinsert(tc_Hoare__Mirabelle_Otriple(t_a)), c_Hoare__Mirabelle_Otriple_Otriple(V_P, V_c, V_Q, t_a)), c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(t_a), tc_bool))), t_a) | hBOOL(hAPP(hAPP(V_P, v_sko__Hoare__Mirabelle__Xconseq12__1(V_P, V_P_H, V_Q, V_Q_H)), v_sko__Hoare__Mirabelle__Xconseq12__2(V_P, V_P_H, V_Q, V_Q_H))) | ~c_Hoare__Mirabelle_Ohoare__derivs(V_G, hAPP(hAPP(c_Set_Oinsert(tc_Hoare__Mirabelle_Otriple(t_a)), c_Hoare__Mirabelle_Otriple_Otriple(V_P_H, V_c, V_Q_H, t_a)), c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(t_a), tc_bool))), t_a) )).
% 12.73/12.90 cnf(matrix-1122, plain, ( c_Hoare__Mirabelle_Ohoare__derivs(V_G, hAPP(hAPP(c_Set_Oinsert(tc_Hoare__Mirabelle_Otriple(t_a)), c_Hoare__Mirabelle_Otriple_Otriple(V_P, V_c, V_Q, t_a)), c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(t_a), tc_bool))), t_a) | hBOOL(hAPP(hAPP(V_P, v_sko__Hoare__Mirabelle__Xconseq1__1(V_P, V_P_H)), v_sko__Hoare__Mirabelle__Xconseq1__2(V_P, V_P_H))) | ~c_Hoare__Mirabelle_Ohoare__derivs(V_G, hAPP(hAPP(c_Set_Oinsert(tc_Hoare__Mirabelle_Otriple(t_a)), c_Hoare__Mirabelle_Otriple_Otriple(V_P_H, V_c, V_Q, t_a)), c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(t_a), tc_bool))), t_a) )).
% 12.73/12.90 cnf(matrix-1123, plain, ( c_Hoare__Mirabelle_Ohoare__derivs(V_G, hAPP(hAPP(c_Set_Oinsert(tc_Hoare__Mirabelle_Otriple(t_a)), c_Hoare__Mirabelle_Otriple_Otriple(V_P, V_c, V_Q, t_a)), c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(t_a), tc_bool))), t_a) | ~hBOOL(hAPP(hAPP(V_Q, v_sko__Hoare__Mirabelle__Xhoare__derivs__Xconseq__1(V_G, V_P, V_Q, V_c)), v_sko__Hoare__Mirabelle__Xhoare__derivs__Xconseq__3(V_G, V_P, V_Q, V_c, V_x, V_xa))) | ~c_Hoare__Mirabelle_Ohoare__derivs(V_G, hAPP(hAPP(c_Set_Oinsert(tc_Hoare__Mirabelle_Otriple(t_a)), c_Hoare__Mirabelle_Otriple_Otriple(V_x, V_c, V_xa, t_a)), c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(t_a), tc_bool))), t_a) )).
% 12.73/12.90 cnf(matrix-1124, plain, ( c_Hoare__Mirabelle_Ohoare__derivs(V_G, hAPP(hAPP(c_Set_Oinsert(tc_Hoare__Mirabelle_Otriple(t_a)), c_Hoare__Mirabelle_Otriple_Otriple(V_P, V_c, V_Q, t_a)), c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(t_a), tc_bool))), t_a) | ~hBOOL(hAPP(hAPP(V_P_H, v_sko__Hoare__Mirabelle__Xconseq1__1(V_P, V_P_H)), v_sko__Hoare__Mirabelle__Xconseq1__2(V_P, V_P_H))) | ~c_Hoare__Mirabelle_Ohoare__derivs(V_G, hAPP(hAPP(c_Set_Oinsert(tc_Hoare__Mirabelle_Otriple(t_a)), c_Hoare__Mirabelle_Otriple_Otriple(V_P_H, V_c, V_Q, t_a)), c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(t_a), tc_bool))), t_a) )).
% 12.73/12.90 cnf(matrix-1125, plain, ( c_Hoare__Mirabelle_Ohoare__derivs(V_G, hAPP(hAPP(c_Set_Oinsert(tc_Hoare__Mirabelle_Otriple(t_a)), c_Hoare__Mirabelle_Otriple_Otriple(V_P, V_c, V_Q, t_a)), c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(t_a), tc_bool))), t_a) | ~hBOOL(hAPP(hAPP(V_Q, v_sko__Hoare__Mirabelle__Xconseq12__1(V_P, V_P_H, V_Q, V_Q_H)), v_sko__Hoare__Mirabelle__Xconseq12__3(V_P, V_P_H, V_Q, V_Q_H))) | ~c_Hoare__Mirabelle_Ohoare__derivs(V_G, hAPP(hAPP(c_Set_Oinsert(tc_Hoare__Mirabelle_Otriple(t_a)), c_Hoare__Mirabelle_Otriple_Otriple(V_P_H, V_c, V_Q_H, t_a)), c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(t_a), tc_bool))), t_a) )).
% 12.73/12.90 cnf(matrix-1126, plain, ( c_Hoare__Mirabelle_Ohoare__derivs(V_G, hAPP(hAPP(c_Set_Oinsert(tc_Hoare__Mirabelle_Otriple(t_a)), c_Hoare__Mirabelle_Otriple_Otriple(V_P, V_c, V_Q, t_a)), c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(t_a), tc_bool))), t_a) | ~hBOOL(hAPP(hAPP(V_Q, v_sko__Hoare__Mirabelle__Xconseq2__1(V_Q, V_Q_H)), v_sko__Hoare__Mirabelle__Xconseq2__2(V_Q, V_Q_H))) | ~c_Hoare__Mirabelle_Ohoare__derivs(V_G, hAPP(hAPP(c_Set_Oinsert(tc_Hoare__Mirabelle_Otriple(t_a)), c_Hoare__Mirabelle_Otriple_Otriple(V_P, V_c, V_Q_H, t_a)), c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(t_a), tc_bool))), t_a) )).
% 12.73/12.90 cnf(matrix-1127, plain, ( c_Hoare__Mirabelle_Ohoare__derivs(V_G, hAPP(hAPP(c_Set_Oinsert(tc_Hoare__Mirabelle_Otriple(t_a)), c_Hoare__Mirabelle_Otriple_Otriple(V_P, V_c, V_Q, t_a)), c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(t_a), tc_bool))), t_a) | hBOOL(hAPP(hAPP(V_P, v_sko__Hoare__Mirabelle__Xescape__1(V_G, V_P, V_Q, V_c)), v_sko__Hoare__Mirabelle__Xescape__2(V_G, V_P, V_Q, V_c))) )).
% 12.73/12.90 cnf(matrix-1128, plain, ( ( c_Hoare__Mirabelle_OMGT(V_c) = c_Hoare__Mirabelle_Otriple_Otriple(c_fequal(tc_Com_Ostate), V_c, c_Natural_Oevalc(V_c), tc_Com_Ostate)) )).
% 12.73/12.90 cnf(matrix-1129, plain, ( ( hAPP(hAPP(c_Set_Oinsert(T_a), V_a), c_HOL_Ominus__class_Ominus(V_A, hAPP(hAPP(c_Set_Oinsert(T_a), V_a), c_Orderings_Obot__class_Obot(tc_fun(T_a, tc_bool))), tc_fun(T_a, tc_bool))) = V_A) | ~hBOOL(hAPP(hAPP(c_in(T_a), V_a), V_A)) )).
% 12.73/12.90 cnf(matrix-1130, plain, ( ( hAPP(V_f, V_a) = V_b) | ~hBOOL(hAPP(hAPP(c_in(T_a), V_a), c_Set_Ovimage(V_f, hAPP(hAPP(c_Set_Oinsert(T_b), V_b), c_Orderings_Obot__class_Obot(tc_fun(T_b, tc_bool))), T_a, T_b))) )).
% 12.73/12.90 cnf(matrix-1131, plain, ( hBOOL(hAPP(hAPP(c_in(T_aa), V_a), c_Set_Ovimage(V_f, hAPP(hAPP(c_Set_Oinsert(T_a), hAPP(V_f, V_a)), c_Orderings_Obot__class_Obot(tc_fun(T_a, tc_bool))), T_aa, T_a))) )).
% 12.73/12.90 cnf(matrix-1132, plain, ( ( hAPP(hAPP(c_Set_Oinsert(T_b), V_x), V_xa) != c_Orderings_Obot__class_Obot(tc_fun(T_b, tc_bool))) | hBOOL(hAPP(hAPP(c_in(T_b), V_x), V_xa)) | ~c_OrderedGroup_Oab__semigroup__mult(V_times, T_a) )).
% 12.73/12.90 cnf(matrix-1133, plain, ( ( c_HOL_Ominus__class_Ominus(hAPP(hAPP(c_Set_Oinsert(T_a), V_x), V_A), hAPP(hAPP(c_Set_Oinsert(T_a), V_x), c_Orderings_Obot__class_Obot(tc_fun(T_a, tc_bool))), tc_fun(T_a, tc_bool)) = V_A) | hBOOL(hAPP(hAPP(c_in(T_a), V_x), V_A)) )).
% 12.73/12.90 cnf(matrix-1134, plain, ( c_Hoare__Mirabelle_Ohoare__derivs(c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(tc_Com_Ostate), tc_bool)), hAPP(hAPP(c_Set_Oinsert(tc_Hoare__Mirabelle_Otriple(tc_Com_Ostate)), c_Hoare__Mirabelle_Otriple_Otriple(V_P, V_c, V_Q, tc_Com_Ostate)), c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(tc_Com_Ostate), tc_bool))), tc_Com_Ostate) | ~c_Hoare__Mirabelle_Ohoare__valids(c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(tc_Com_Ostate), tc_bool)), hAPP(hAPP(c_Set_Oinsert(tc_Hoare__Mirabelle_Otriple(tc_Com_Ostate)), c_Hoare__Mirabelle_Otriple_Otriple(V_P, V_c, V_Q, tc_Com_Ostate)), c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(tc_Com_Ostate), tc_bool))), tc_Com_Ostate) | ~c_Hoare__Mirabelle_Ohoare__derivs(c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(tc_Com_Ostate), tc_bool)), hAPP(hAPP(c_Set_Oinsert(tc_Hoare__Mirabelle_Otriple(tc_Com_Ostate)), c_Hoare__Mirabelle_OMGT(V_c)), c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(tc_Com_Ostate), tc_bool))), tc_Com_Ostate) )).
% 12.73/12.90 cnf(matrix-1135, plain, ( hBOOL(hAPP(hAPP(c_Natural_Oevalc(c_Com_Ocom_OBODY(V_pn)), V_s0), V_s1)) | ~hBOOL(hAPP(hAPP(c_Natural_Oevalc(c_Option_Othe(hAPP(c_Com_Obody, V_pn), tc_Com_Ocom)), V_s0), V_s1)) )).
% 12.73/12.90 cnf(matrix-1136, plain, ( hBOOL(hAPP(hAPP(c_Natural_Oevalc(c_Option_Othe(hAPP(c_Com_Obody, V_P), tc_Com_Ocom)), V_s), V_s1)) | ~hBOOL(hAPP(hAPP(c_Natural_Oevalc(c_Com_Ocom_OBODY(V_P)), V_s), V_s1)) )).
% 12.73/12.90 cnf(matrix-1137, plain, ( c_Finite__Set_Ofinite(c_Map_Odom(c_Com_Obody, tc_Com_Opname, tc_Com_Ocom), tc_Com_Opname) )).
% 12.73/12.90 cnf(matrix-1138, plain, ( c_Hoare__Mirabelle_Ohoare__derivs(V_G, hAPP(hAPP(c_Set_Oinsert(tc_Hoare__Mirabelle_Otriple(T_a)), c_Hoare__Mirabelle_Otriple_Otriple(V_P, c_Com_Ocom_OSemi(V_c, V_d), V_R, T_a)), c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(T_a), tc_bool))), T_a) | ~c_Hoare__Mirabelle_Ohoare__derivs(V_G, hAPP(hAPP(c_Set_Oinsert(tc_Hoare__Mirabelle_Otriple(T_a)), c_Hoare__Mirabelle_Otriple_Otriple(V_Q, V_d, V_R, T_a)), c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(T_a), tc_bool))), T_a) | ~c_Hoare__Mirabelle_Ohoare__derivs(V_G, hAPP(hAPP(c_Set_Oinsert(tc_Hoare__Mirabelle_Otriple(T_a)), c_Hoare__Mirabelle_Otriple_Otriple(V_P, V_c, V_Q, T_a)), c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(T_a), tc_bool))), T_a) )).
% 12.73/12.90 cnf(matrix-1139, plain, ( c_Hoare__Mirabelle_Ohoare__derivs(V_G, hAPP(hAPP(c_Set_Oinsert(tc_Hoare__Mirabelle_Otriple(T_a)), c_Hoare__Mirabelle_Otriple_Otriple(V_P, c_Com_Ocom_OBODY(V_pn), V_Q, T_a)), c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(T_a), tc_bool))), T_a) | ~c_Hoare__Mirabelle_Ohoare__derivs(hAPP(hAPP(c_Set_Oinsert(tc_Hoare__Mirabelle_Otriple(T_a)), c_Hoare__Mirabelle_Otriple_Otriple(V_P, c_Com_Ocom_OBODY(V_pn), V_Q, T_a)), V_G), hAPP(hAPP(c_Set_Oinsert(tc_Hoare__Mirabelle_Otriple(T_a)), c_Hoare__Mirabelle_Otriple_Otriple(V_P, c_Option_Othe(hAPP(c_Com_Obody, V_pn), tc_Com_Ocom), V_Q, T_a)), c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(T_a), tc_bool))), T_a) )).
% 12.73/12.90 cnf(matrix-1140, plain, ( c_Hoare__Mirabelle_Ohoare__derivs(V_G, hAPP(hAPP(c_Set_Oinsert(tc_Hoare__Mirabelle_Otriple(T_a)), c_Hoare__Mirabelle_Otriple_Otriple(V_P, c_Com_Ocom_OBODY(V_pn), V_Q, T_a)), c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(T_a), tc_bool))), T_a) | ~c_Hoare__Mirabelle_Ohoare__derivs(V_G, hAPP(hAPP(c_Set_Oinsert(tc_Hoare__Mirabelle_Otriple(T_a)), c_Hoare__Mirabelle_Otriple_Otriple(V_P, c_Option_Othe(hAPP(c_Com_Obody, V_pn), tc_Com_Ocom), V_Q, T_a)), c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(T_a), tc_bool))), T_a) )).
% 12.73/12.90 cnf(matrix-1141, plain, ( c_Hoare__Mirabelle_Ohoare__derivs(V_G, hAPP(hAPP(c_Set_Oinsert(tc_Hoare__Mirabelle_Otriple(T_a)), V_t), V_ts), T_a) | ~c_Hoare__Mirabelle_Ohoare__derivs(V_G, V_ts, T_a) | ~c_Hoare__Mirabelle_Ohoare__derivs(V_G, hAPP(hAPP(c_Set_Oinsert(tc_Hoare__Mirabelle_Otriple(T_a)), V_t), c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(T_a), tc_bool))), T_a) )).
% 12.73/12.90 cnf(matrix-1142, plain, ( c_Hoare__Mirabelle_Ohoare__derivs(V_G, V_ts, T_a) | ~c_Hoare__Mirabelle_Ohoare__derivs(V_G, hAPP(hAPP(c_Set_Oinsert(tc_Hoare__Mirabelle_Otriple(T_a)), V_t), V_ts), T_a) )).
% 12.73/12.90 cnf(matrix-1143, plain, ( ( c_Com_Ocom_OBODY(V_pname_H) != c_Com_Ocom_OSKIP) )).
% 12.73/12.90 cnf(matrix-1144, plain, ( hBOOL(hAPP(hAPP(c_in(T_a), V_x), hAPP(hAPP(c_Set_Oinsert(T_a), V_x), c_Orderings_Obot__class_Obot(tc_fun(T_a, tc_bool))))) )).
% 12.73/12.90 cnf(matrix-1145, plain, ( hBOOL(hAPP(hAPP(c_in(T_a), V_a), hAPP(hAPP(c_Set_Oinsert(T_a), V_b), V_A))) | ~hBOOL(hAPP(hAPP(c_in(T_a), V_a), V_A)) )).
% 12.73/12.90 cnf(matrix-1146, plain, ( hBOOL(hAPP(hAPP(c_in(T_a), V_a), hAPP(hAPP(c_Set_Oinsert(T_a), V_b), V_B))) | ~hBOOL(hAPP(hAPP(c_in(T_a), V_a), V_B)) )).
% 12.73/12.90 cnf(matrix-1147, plain, ( hBOOL(hAPP(hAPP(hAPP(c_Set_Oinsert(T_a), V_x), V_A), V_x)) )).
% 12.73/12.90 cnf(matrix-1148, plain, ( c_Hoare__Mirabelle_Ohoare__derivs(V_G, hAPP(hAPP(c_Set_Oinsert(tc_Hoare__Mirabelle_Otriple(T_a)), c_Hoare__Mirabelle_Otriple_Otriple(V_P, c_Com_Ocom_OSKIP, V_P, T_a)), c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(T_a), tc_bool))), T_a) )).
% 12.73/12.90 cnf(matrix-1149, plain, ( c_Hoare__Mirabelle_Ohoare__derivs(V_G, V_ts, T_a) | ~c_Hoare__Mirabelle_Ohoare__derivs(V_G, V_G_H, T_a) | ~c_Hoare__Mirabelle_Ohoare__derivs(V_G_H, V_ts, T_a) )).
% 12.73/12.90 cnf(matrix-1150, plain, ( ~hBOOL(hAPP(hAPP(c_in(T_a), V_x), c_Orderings_Obot__class_Obot(tc_fun(T_a, tc_bool)))) )).
% 12.73/12.90 cnf(matrix-1151, plain, ( hBOOL(hAPP(V_P, V_x)) | ~hBOOL(hAPP(hAPP(c_in(T_a), V_x), c_Orderings_Obot__class_Obot(tc_fun(T_a, tc_bool)))) )).
% 12.73/12.90 cnf(matrix-1152, plain, ( ~hBOOL(hAPP(hAPP(c_in(T_a), V_c), c_Orderings_Obot__class_Obot(tc_fun(T_a, tc_bool)))) )).
% 12.73/12.90 cnf(matrix-1153, plain, ( ~hBOOL(hAPP(hAPP(c_in(T_a), V_a), c_Orderings_Obot__class_Obot(tc_fun(T_a, tc_bool)))) )).
% 12.73/12.90 cnf(matrix-1154, plain, ( ( c_Orderings_Obot__class_Obot(tc_fun(T_a, tc_bool)) != hAPP(hAPP(c_Set_Oinsert(T_a), V_a), V_A)) )).
% 12.73/12.90 cnf(matrix-1155, plain, ( ( c_Hoare__Mirabelle_Otriple_Otriple(V_fun1, V_com, V_fun2, T_a) != c_Hoare__Mirabelle_Otriple_Otriple(V_fun1_H, V_com_H, V_fun2_H, T_a)) | ( V_fun2 = V_fun2_H) )).
% 12.73/12.90 cnf(matrix-1156, plain, ( ( c_Hoare__Mirabelle_Otriple_Otriple(V_fun1, V_com, V_fun2, T_a) != c_Hoare__Mirabelle_Otriple_Otriple(V_fun1_H, V_com_H, V_fun2_H, T_a)) | ( V_com = V_com_H) )).
% 12.73/12.90 cnf(matrix-1157, plain, ( ( c_Hoare__Mirabelle_Otriple_Otriple(V_fun1, V_com, V_fun2, T_a) != c_Hoare__Mirabelle_Otriple_Otriple(V_fun1_H, V_com_H, V_fun2_H, T_a)) | ( V_fun1 = V_fun1_H) )).
% 12.73/12.90 cnf(matrix-1158, plain, ( ( hAPP(c_Orderings_Obot__class_Obot(tc_fun(t_a, tc_bool)), v_x) = hAPP(hAPP(c_in(t_a), v_x), c_Orderings_Obot__class_Obot(tc_fun(t_a, tc_bool)))) )).
% 12.73/12.90 cnf(matrix-1159, plain, ( ( hAPP(hAPP(c_Set_Oinsert(T_a), V_a), hAPP(hAPP(c_Set_Oinsert(T_a), V_b), c_Orderings_Obot__class_Obot(tc_fun(T_a, tc_bool)))) != hAPP(hAPP(c_Set_Oinsert(T_a), V_c), hAPP(hAPP(c_Set_Oinsert(T_a), V_d), c_Orderings_Obot__class_Obot(tc_fun(T_a, tc_bool))))) | ( V_b = V_c) | ( V_b = V_d) )).
% 12.73/12.90 cnf(matrix-1160, plain, ( ( hAPP(hAPP(c_Set_Oinsert(T_a), V_a), hAPP(hAPP(c_Set_Oinsert(T_a), V_b), c_Orderings_Obot__class_Obot(tc_fun(T_a, tc_bool)))) != hAPP(hAPP(c_Set_Oinsert(T_a), V_c), hAPP(hAPP(c_Set_Oinsert(T_a), V_d), c_Orderings_Obot__class_Obot(tc_fun(T_a, tc_bool))))) | ( V_a = V_d) | ( V_b = V_d) )).
% 12.73/12.90 cnf(matrix-1161, plain, ( ( hAPP(hAPP(c_Set_Oinsert(T_a), V_a), hAPP(hAPP(c_Set_Oinsert(T_a), V_b), c_Orderings_Obot__class_Obot(tc_fun(T_a, tc_bool)))) != hAPP(hAPP(c_Set_Oinsert(T_a), V_c), hAPP(hAPP(c_Set_Oinsert(T_a), V_d), c_Orderings_Obot__class_Obot(tc_fun(T_a, tc_bool))))) | ( V_b = V_c) | ( V_a = V_c) )).
% 12.73/12.90 cnf(matrix-1162, plain, ( ( hAPP(hAPP(c_Set_Oinsert(T_a), V_a), hAPP(hAPP(c_Set_Oinsert(T_a), V_b), c_Orderings_Obot__class_Obot(tc_fun(T_a, tc_bool)))) != hAPP(hAPP(c_Set_Oinsert(T_a), V_c), hAPP(hAPP(c_Set_Oinsert(T_a), V_d), c_Orderings_Obot__class_Obot(tc_fun(T_a, tc_bool))))) | ( V_a = V_d) | ( V_a = V_c) )).
% 12.73/12.90 cnf(matrix-1163, plain, ( ( V_u = V_t) | ~hBOOL(hAPP(hAPP(c_Natural_Oevalc(V_c), V_s), V_u)) | ~hBOOL(hAPP(hAPP(c_Natural_Oevalc(V_c), V_s), V_t)) )).
% 12.73/12.90 cnf(matrix-1164, plain, ( hBOOL(hAPP(hAPP(c_Natural_Oevalc(c_Com_Ocom_OSKIP), V_s), V_s)) )).
% 12.73/12.90 cnf(matrix-1165, plain, ( hBOOL(hAPP(hAPP(c_in(T_a), V_a), V_A)) | ( V_a = V_b) | ~hBOOL(hAPP(hAPP(c_in(T_a), V_a), hAPP(hAPP(c_Set_Oinsert(T_a), V_b), V_A))) )).
% 12.73/12.90 cnf(matrix-1166, plain, ( ~hBOOL(hAPP(c_Orderings_Obot__class_Obot(tc_fun(T_a, tc_bool)), V_x)) )).
% 12.73/12.90 cnf(matrix-1167, plain, ( c_Hoare__Mirabelle_Ohoare__derivs(V_G, c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(T_a), tc_bool)), T_a) )).
% 12.73/12.90 cnf(matrix-1168, plain, ( hBOOL(hAPP(V_A, V_x)) | ( V_y = V_x) | ~hBOOL(hAPP(hAPP(hAPP(c_Set_Oinsert(T_a), V_y), V_A), V_x)) )).
% 12.73/12.90 cnf(matrix-1169, plain, ( ( hAPP(hAPP(c_Set_Oinsert(T_a), V_x), hAPP(hAPP(c_Set_Oinsert(T_a), V_x), V_A)) = hAPP(hAPP(c_Set_Oinsert(T_a), V_x), V_A)) )).
% 12.73/12.90 cnf(matrix-1170, plain, ( ( hAPP(hAPP(c_Set_Oinsert(T_a), V_a), V_A) != c_Orderings_Obot__class_Obot(tc_fun(T_a, tc_bool))) )).
% 12.73/12.90 cnf(matrix-1171, plain, ( ~class_Orderings_Obot(T_b) | ( hAPP(c_Orderings_Obot__class_Obot(tc_fun(t_a, T_b)), v_x) = c_Orderings_Obot__class_Obot(T_b)) )).
% 12.73/12.90 cnf(matrix-1172, plain, ( ( V_b = V_a) | ~hBOOL(hAPP(hAPP(c_in(T_a), V_b), hAPP(hAPP(c_Set_Oinsert(T_a), V_a), c_Orderings_Obot__class_Obot(tc_fun(T_a, tc_bool))))) )).
% 12.73/12.90 cnf(matrix-1173, plain, ( hBOOL(hAPP(hAPP(c_in(T_a), V_x), hAPP(hAPP(c_Set_Oinsert(T_a), V_x), V_A))) )).
% 12.73/12.90 cnf(matrix-1174, plain, ( hBOOL(hAPP(hAPP(c_in(T_a), V_a), hAPP(hAPP(c_Set_Oinsert(T_a), V_a), V_B))) )).
% 12.73/12.90 cnf(matrix-1175, plain, ( hBOOL(hAPP(hAPP(c_in(T_a), V_x), hAPP(hAPP(c_Set_Oinsert(T_a), V_x), V_B))) )).
% 12.73/12.90 cnf(matrix-1176, plain, ( ( hAPP(hAPP(c_Set_Oinsert(T_a), V_x), hAPP(hAPP(c_Set_Oinsert(T_a), V_y), V_A)) = hAPP(hAPP(c_Set_Oinsert(T_a), V_y), hAPP(hAPP(c_Set_Oinsert(T_a), V_x), V_A))) )).
% 12.73/12.90 cnf(matrix-1177, plain, ( hBOOL(hAPP(hAPP(c_in(T_a), V_x), V_S)) | ~hBOOL(hAPP(V_S, V_x)) )).
% 12.73/12.90 cnf(matrix-1178, plain, ( hBOOL(hAPP(V_S, V_x)) | ~hBOOL(hAPP(hAPP(c_in(T_a), V_x), V_S)) )).
% 12.73/12.90 cnf(matrix-1179, plain, ( ( hAPP(hAPP(c_Set_Oinsert(T_a), V_xa), hAPP(hAPP(c_Set_Oinsert(T_a), V_x), c_Orderings_Obot__class_Obot(tc_fun(T_a, tc_bool)))) = hAPP(hAPP(c_Set_Oinsert(T_a), V_x), hAPP(hAPP(c_Set_Oinsert(T_a), V_xa), c_Orderings_Obot__class_Obot(tc_fun(T_a, tc_bool))))) )).
% 12.73/12.90 cnf(matrix-1180, plain, ( ( hAPP(hAPP(c_Set_Oinsert(T_a), V_a), c_Orderings_Obot__class_Obot(tc_fun(T_a, tc_bool))) != hAPP(hAPP(c_Set_Oinsert(T_a), V_b), c_Orderings_Obot__class_Obot(tc_fun(T_a, tc_bool)))) | ( V_a = V_b) )).
% 12.73/12.90 cnf(matrix-1181, plain, ( ~hBOOL(hAPP(V_P, V_x)) | ~hBOOL(hAPP(hAPP(c_in(T_a), V_x), c_Orderings_Obot__class_Obot(tc_fun(T_a, tc_bool)))) )).
% 12.73/12.90 cnf(matrix-1182, plain, ( ( hAPP(hAPP(c_Set_Oinsert(T_a), V_x), V_xa) != c_Orderings_Obot__class_Obot(tc_fun(T_a, tc_bool))) | hBOOL(hAPP(hAPP(c_in(T_a), V_x), V_xa)) )).
% 12.73/12.90 cnf(matrix-1183, plain, ( c_Hoare__Mirabelle_Ohoare__derivs(V_G, hAPP(hAPP(c_Set_Oinsert(tc_Hoare__Mirabelle_Otriple(T_a)), V_t), c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(T_a), tc_bool))), T_a) | ~c_Hoare__Mirabelle_Ohoare__derivs(V_G, hAPP(hAPP(c_Set_Oinsert(tc_Hoare__Mirabelle_Otriple(T_a)), V_t), V_ts), T_a) )).
% 12.73/12.90 cnf(matrix-1184, plain, ( hBOOL(hAPP(hAPP(hAPP(c_Set_Oinsert(T_a), V_y), V_A), V_x)) | ~hBOOL(hAPP(V_A, V_x)) )).
% 12.73/12.90 cnf(matrix-1185, plain, ( ( hAPP(hAPP(c_Set_Oinsert(T_a), V_x), V_A) != hAPP(hAPP(c_Set_Oinsert(T_a), V_x), V_B)) | hBOOL(hAPP(hAPP(c_in(T_a), V_x), V_B)) | hBOOL(hAPP(hAPP(c_in(T_a), V_x), V_A)) | ( V_A = V_B) )).
% 12.73/12.90 cnf(matrix-1186, plain, ( ( c_Com_Ocom_OBODY(V_pname) != c_Com_Ocom_OBODY(V_pname_H)) | ( V_pname = V_pname_H) )).
% 12.73/12.90 cnf(matrix-1187, plain, ( ( hAPP(hAPP(c_Set_Oinsert(T_a), V_a), V_A) = V_A) | ~hBOOL(hAPP(hAPP(c_in(T_a), V_a), V_A)) )).
% 12.73/12.90 cnf(matrix-1188, plain, ( ( c_Com_Ocom_OSKIP != c_Com_Ocom_OBODY(V_pname_H)) )).
% 12.73/12.90 cnf(matrix-1189, plain, ( ( V_t = V_s) | ~hBOOL(hAPP(hAPP(c_Natural_Oevalc(c_Com_Ocom_OSKIP), V_s), V_t)) )).
% 12.73/12.90 cnf(matrix-1190, plain, ( ~hBOOL(hAPP(hAPP(c_Natural_Oevalc(c_Com_Ocom_OSKIP), v_x), v_x)) )).
% 12.73/12.90 cnf(matrix-1191, plain, ( c_Hoare__Mirabelle_Ohoare__derivs(v_G, hAPP(hAPP(c_Set_Oinsert(tc_Hoare__Mirabelle_Otriple(tc_Com_Ostate)), c_Hoare__Mirabelle_Otriple_Otriple(c_fequal(tc_Com_Ostate), c_Com_Ocom_OBODY(V_x), c_Natural_Oevalc(c_Com_Ocom_OBODY(V_x)), tc_Com_Ostate)), c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(tc_Com_Ostate), tc_bool))), tc_Com_Ostate) | ~hBOOL(hAPP(hAPP(c_in(tc_Com_Opname), V_x), c_Map_Odom(c_Com_Obody, tc_Com_Opname, tc_Com_Ocom))) )).
% 12.73/12.90 cnf(matrix-1192, plain, ( class_Complete__Lattice_Ocomplete__lattice(tc_fun(T_2, T_1)) | ~class_Complete__Lattice_Ocomplete__lattice(T_1) )).
% 12.73/12.90 cnf(matrix-1193, plain, ( class_Lattices_Oupper__semilattice(tc_fun(T_2, T_1)) | ~class_Lattices_Olattice(T_1) )).
% 12.73/12.90 cnf(matrix-1194, plain, ( class_Lattices_Olower__semilattice(tc_fun(T_2, T_1)) | ~class_Lattices_Olattice(T_1) )).
% 12.73/12.90 cnf(matrix-1195, plain, ( class_Lattices_Odistrib__lattice(tc_fun(T_2, T_1)) | ~class_Lattices_Odistrib__lattice(T_1) )).
% 12.73/12.90 cnf(matrix-1196, plain, ( class_Lattices_Obounded__lattice(tc_fun(T_2, T_1)) | ~class_Lattices_Obounded__lattice(T_1) )).
% 12.73/12.90 cnf(matrix-1197, plain, ( class_Finite__Set_Ofinite_Ofinite(tc_fun(T_2, T_1)) | ~class_Finite__Set_Ofinite_Ofinite(T_1) | ~class_Finite__Set_Ofinite_Ofinite(T_2) )).
% 12.73/12.90 cnf(matrix-1198, plain, ( class_Orderings_Opreorder(tc_fun(T_2, T_1)) | ~class_Orderings_Opreorder(T_1) )).
% 12.73/12.90 cnf(matrix-1199, plain, ( class_Lattices_Olattice(tc_fun(T_2, T_1)) | ~class_Lattices_Olattice(T_1) )).
% 12.73/12.90 cnf(matrix-1200, plain, ( class_Orderings_Oorder(tc_fun(T_2, T_1)) | ~class_Orderings_Oorder(T_1) )).
% 12.73/12.90 cnf(matrix-1201, plain, ( class_Orderings_Obot(tc_fun(T_2, T_1)) | ~class_Orderings_Obot(T_1) )).
% 12.73/12.90 cnf(matrix-1202, plain, ( class_HOL_Ominus(tc_fun(T_2, T_1)) | ~class_HOL_Ominus(T_1) )).
% 12.73/12.90 cnf(matrix-1203, plain, ( class_HOL_Oord(tc_fun(T_2, T_1)) | ~class_HOL_Oord(T_1) )).
% 12.73/12.90 cnf(matrix-1204, plain, ( class_OrderedGroup_Opordered__cancel__ab__semigroup__add(tc_nat) )).
% 12.73/12.90 cnf(matrix-1205, plain, ( class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(tc_nat) )).
% 12.73/12.90 cnf(matrix-1206, plain, ( class_Ring__and__Field_Oordered__comm__semiring__strict(tc_nat) )).
% 12.73/12.90 cnf(matrix-1207, plain, ( class_Ring__and__Field_Opordered__cancel__semiring(tc_nat) )).
% 12.73/12.90 cnf(matrix-1208, plain, ( class_Ring__and__Field_Oordered__semiring__strict(tc_nat) )).
% 12.73/12.90 cnf(matrix-1209, plain, ( class_OrderedGroup_Opordered__ab__semigroup__add(tc_nat) )).
% 12.73/12.90 cnf(matrix-1210, plain, ( class_OrderedGroup_Opordered__comm__monoid__add(tc_nat) )).
% 12.73/12.90 cnf(matrix-1211, plain, ( class_OrderedGroup_Ocancel__ab__semigroup__add(tc_nat) )).
% 12.73/12.90 cnf(matrix-1212, plain, ( class_OrderedGroup_Ocancel__semigroup__add(tc_nat) )).
% 12.73/12.90 cnf(matrix-1213, plain, ( class_Ring__and__Field_Opordered__semiring(tc_nat) )).
% 12.73/12.90 cnf(matrix-1214, plain, ( class_Ring__and__Field_Oordered__semiring(tc_nat) )).
% 12.73/12.90 cnf(matrix-1215, plain, ( class_Ring__and__Field_Ono__zero__divisors(tc_nat) )).
% 12.73/12.90 cnf(matrix-1216, plain, ( class_Ring__and__Field_Oordered__semidom(tc_nat) )).
% 12.73/12.90 cnf(matrix-1217, plain, ( class_Ring__and__Field_Ocomm__semiring__1(tc_nat) )).
% 12.73/12.90 cnf(matrix-1218, plain, ( class_OrderedGroup_Oab__semigroup__mult(tc_nat) )).
% 12.73/12.90 cnf(matrix-1219, plain, ( class_OrderedGroup_Ocomm__monoid__mult(tc_nat) )).
% 12.73/12.90 cnf(matrix-1220, plain, ( class_OrderedGroup_Oab__semigroup__add(tc_nat) )).
% 12.73/12.90 cnf(matrix-1221, plain, ( class_Ring__and__Field_Ocomm__semiring(tc_nat) )).
% 12.73/12.90 cnf(matrix-1222, plain, ( class_OrderedGroup_Ocomm__monoid__add(tc_nat) )).
% 12.73/12.90 cnf(matrix-1223, plain, ( class_Lattices_Oupper__semilattice(tc_nat) )).
% 12.73/12.90 cnf(matrix-1224, plain, ( class_Lattices_Olower__semilattice(tc_nat) )).
% 12.73/12.90 cnf(matrix-1225, plain, ( class_Ring__and__Field_Omult__mono1(tc_nat) )).
% 12.73/12.90 cnf(matrix-1226, plain, ( class_Ring__and__Field_Omult__zero(tc_nat) )).
% 12.73/12.90 cnf(matrix-1227, plain, ( class_Ring__and__Field_Omult__mono(tc_nat) )).
% 12.73/12.90 cnf(matrix-1228, plain, ( class_Lattices_Odistrib__lattice(tc_nat) )).
% 12.73/12.90 cnf(matrix-1229, plain, ( class_Ring__and__Field_Osemiring(tc_nat) )).
% 12.73/12.90 cnf(matrix-1230, plain, ( class_OrderedGroup_Omonoid__add(tc_nat) )).
% 12.73/12.90 cnf(matrix-1231, plain, ( class_Orderings_Opreorder(tc_nat) )).
% 12.73/12.90 cnf(matrix-1232, plain, ( class_Orderings_Olinorder(tc_nat) )).
% 12.73/12.90 cnf(matrix-1233, plain, ( class_Lattices_Olattice(tc_nat) )).
% 12.73/12.90 cnf(matrix-1234, plain, ( class_Orderings_Oorder(tc_nat) )).
% 12.73/12.90 cnf(matrix-1235, plain, ( class_Orderings_Obot(tc_nat) )).
% 12.73/12.90 cnf(matrix-1236, plain, ( class_HOL_Ominus(tc_nat) )).
% 12.73/12.90 cnf(matrix-1237, plain, ( class_HOL_Oord(tc_nat) )).
% 12.73/12.90 cnf(matrix-1238, plain, ( class_Complete__Lattice_Ocomplete__lattice(tc_bool) )).
% 12.73/12.90 cnf(matrix-1239, plain, ( class_Lattices_Oupper__semilattice(tc_bool) )).
% 12.73/12.90 cnf(matrix-1240, plain, ( class_Lattices_Olower__semilattice(tc_bool) )).
% 12.73/12.90 cnf(matrix-1241, plain, ( class_Lattices_Odistrib__lattice(tc_bool) )).
% 12.73/12.90 cnf(matrix-1242, plain, ( class_Lattices_Obounded__lattice(tc_bool) )).
% 12.73/12.90 cnf(matrix-1243, plain, ( class_Finite__Set_Ofinite_Ofinite(tc_bool) )).
% 12.73/12.90 cnf(matrix-1244, plain, ( class_Orderings_Opreorder(tc_bool) )).
% 12.73/12.90 cnf(matrix-1245, plain, ( class_Lattices_Olattice(tc_bool) )).
% 12.73/12.90 cnf(matrix-1246, plain, ( class_Orderings_Oorder(tc_bool) )).
% 12.73/12.90 cnf(matrix-1247, plain, ( class_Orderings_Obot(tc_bool) )).
% 12.73/12.90 cnf(matrix-1248, plain, ( class_HOL_Ominus(tc_bool) )).
% 12.73/12.90 cnf(matrix-1249, plain, ( class_HOL_Oord(tc_bool) )).
% 12.73/12.90 cnf(matrix-1250, plain, ( class_Finite__Set_Ofinite_Ofinite(tc_Option_Ooption(T_1)) | ~class_Finite__Set_Ofinite_Ofinite(T_1) )).
% 12.73/12.90 cnf(matrix-1251, plain, ( hBOOL(hAPP(hAPP(c_fequal(T_a), V_x), V_x)) )).
% 12.73/12.90 cnf(matrix-1252, plain, ( ( V_X = V_Y) | ~hBOOL(hAPP(hAPP(c_fequal(T_a), V_X), V_Y)) )).
% 12.73/12.90
% 12.73/12.90 % Proof stack:
% 12.73/12.90 cnf(proof-stack, plain,
% 12.73/12.90 proof_stack(
% 12.73/12.90 start(1190),
% 12.73/12.90 left_branch(0, 1164, 0, 2),
% 12.73/12.90 right_branch(2)
% 12.73/12.90 )).
% 12.73/12.90 % SZS output end Proof for theBenchmark
%------------------------------------------------------------------------------