TSTP Solution File: SWV897-1 by ConnectPP---0.3.0
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%------------------------------------------------------------------------------
% File : ConnectPP---0.3.0
% Problem : SWV897-1 : 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 : n028.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 14:39:42 EDT 2024
% Result : Unsatisfiable 12.16s 12.37s
% Output : Proof 12.16s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12 % Problem : SWV897-1 : TPTP v8.1.2. Released v4.1.0.
% 0.12/0.13 % Command : connect++ --verbosity 0 --no-colour --tptp-proof --schedule default %s
% 0.13/0.33 % Computer : n028.cluster.edu
% 0.13/0.33 % Model : x86_64 x86_64
% 0.13/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.33 % Memory : 8042.1875MB
% 0.13/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.33 % CPULimit : 300
% 0.13/0.33 % WCLimit : 300
% 0.13/0.33 % DateTime : Thu Mar 21 08:19:54 EDT 2024
% 0.13/0.33 % CPUTime :
% 12.16/12.37 % SZS status Unsatisfiable for theBenchmark
% 12.16/12.37 % SZS output start Proof for theBenchmark
% 12.16/12.37
% 12.16/12.37 % Problem matrix:
% 12.16/12.37 cnf(matrix-0, plain, ( ( __eqx_0 = __eqx_0) )).
% 12.16/12.37 cnf(matrix-1, plain, ( ( __eqx_0 != __eqx_1) | ( __eqx_1 = __eqx_0) )).
% 12.16/12.37 cnf(matrix-2, plain, ( ( __eqx_0 != __eqx_1) | ( __eqx_1 != __eqx_2) | ( __eqx_0 = __eqx_2) )).
% 12.16/12.37 cnf(matrix-3, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( c_OrderedGroup_Olordered__ab__group__add__class_Opprt(__eqx_0, __eqx_1) = c_OrderedGroup_Olordered__ab__group__add__class_Opprt(__eqy_0, __eqy_1)) )).
% 12.16/12.37 cnf(matrix-4, plain, ( ( __eqx_0 != __eqy_0) | ( c_HOL_Ozero__class_Ozero(__eqx_0) = c_HOL_Ozero__class_Ozero(__eqy_0)) )).
% 12.16/12.37 cnf(matrix-5, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( __eqx_3 != __eqy_3) | ( __eqx_4 != __eqy_4) | ( c_Fun_Ocomp(__eqx_0, __eqx_1, __eqx_2, __eqx_3, __eqx_4) = c_Fun_Ocomp(__eqy_0, __eqy_1, __eqy_2, __eqy_3, __eqy_4)) )).
% 12.16/12.37 cnf(matrix-6, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( hAPP(__eqx_0, __eqx_1) = hAPP(__eqy_0, __eqy_1)) )).
% 12.16/12.37 cnf(matrix-7, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( c_Com_Ocom_OCall(__eqx_0, __eqx_1, __eqx_2) = c_Com_Ocom_OCall(__eqy_0, __eqy_1, __eqy_2)) )).
% 12.16/12.37 cnf(matrix-8, 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)) )).
% 12.16/12.37 cnf(matrix-9, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( c_Set_Oinsert(__eqx_0, __eqx_1, __eqx_2) = c_Set_Oinsert(__eqy_0, __eqy_1, __eqy_2)) )).
% 12.16/12.37 cnf(matrix-10, plain, ( ( __eqx_0 != __eqy_0) | ( c_in(__eqx_0) = c_in(__eqy_0)) )).
% 12.16/12.37 cnf(matrix-11, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( tc_fun(__eqx_0, __eqx_1) = tc_fun(__eqy_0, __eqy_1)) )).
% 12.16/12.37 cnf(matrix-12, plain, ( ( __eqx_0 != __eqy_0) | ( c_Orderings_Obot__class_Obot(__eqx_0) = c_Orderings_Obot__class_Obot(__eqy_0)) )).
% 12.16/12.37 cnf(matrix-13, 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)) )).
% 12.16/12.37 cnf(matrix-14, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( __eqx_3 != __eqy_3) | ( c_Set_Oimage(__eqx_0, __eqx_1, __eqx_2, __eqx_3) = c_Set_Oimage(__eqy_0, __eqy_1, __eqy_2, __eqy_3)) )).
% 12.16/12.37 cnf(matrix-15, plain, ( ( __eqx_0 != __eqy_0) | ( c_Fun_Oid(__eqx_0) = c_Fun_Oid(__eqy_0)) )).
% 12.16/12.37 cnf(matrix-16, 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) | ( __eqx_9 != __eqy_9) | ( c_Com_Ocom_Ocom__case(__eqx_0, __eqx_1, __eqx_2, __eqx_3, __eqx_4, __eqx_5, __eqx_6, __eqx_7, __eqx_8, __eqx_9) = c_Com_Ocom_Ocom__case(__eqy_0, __eqy_1, __eqy_2, __eqy_3, __eqy_4, __eqy_5, __eqy_6, __eqy_7, __eqy_8, __eqy_9)) )).
% 12.16/12.37 cnf(matrix-17, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( c_Com_Ocom_OCond(__eqx_0, __eqx_1, __eqx_2) = c_Com_Ocom_OCond(__eqy_0, __eqy_1, __eqy_2)) )).
% 12.16/12.37 cnf(matrix-18, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( __eqx_3 != __eqy_3) | ( __eqx_4 != __eqy_4) | ( c_COMBC(__eqx_0, __eqx_1, __eqx_2, __eqx_3, __eqx_4) = c_COMBC(__eqy_0, __eqy_1, __eqy_2, __eqy_3, __eqy_4)) )).
% 12.16/12.37 cnf(matrix-19, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( c_Com_Ocom_OAss(__eqx_0, __eqx_1) = c_Com_Ocom_OAss(__eqy_0, __eqy_1)) )).
% 12.16/12.37 cnf(matrix-20, plain, ( ( __eqx_0 != __eqy_0) | ( c_Orderings_Otop__class_Otop(__eqx_0) = c_Orderings_Otop__class_Otop(__eqy_0)) )).
% 12.16/12.37 cnf(matrix-21, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( c_Com_Ocom_OWhile(__eqx_0, __eqx_1) = c_Com_Ocom_OWhile(__eqy_0, __eqy_1)) )).
% 12.16/12.37 cnf(matrix-22, plain, ( ( __eqx_0 != __eqy_0) | ( c_Option_Ooption_ONone(__eqx_0) = c_Option_Ooption_ONone(__eqy_0)) )).
% 12.16/12.37 cnf(matrix-23, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( c_Option_Ooption_OSome(__eqx_0, __eqx_1) = c_Option_Ooption_OSome(__eqy_0, __eqy_1)) )).
% 12.16/12.37 cnf(matrix-24, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( c_Lattices_Oupper__semilattice__class_Osup(__eqx_0, __eqx_1, __eqx_2) = c_Lattices_Oupper__semilattice__class_Osup(__eqy_0, __eqy_1, __eqy_2)) )).
% 12.16/12.37 cnf(matrix-25, plain, ( ( __eqx_0 != __eqy_0) | ( tc_Hoare__Mirabelle_Otriple(__eqx_0) = tc_Hoare__Mirabelle_Otriple(__eqy_0)) )).
% 12.16/12.37 cnf(matrix-26, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( c_Com_Ocom_OLocal(__eqx_0, __eqx_1, __eqx_2) = c_Com_Ocom_OLocal(__eqy_0, __eqy_1, __eqy_2)) )).
% 12.16/12.37 cnf(matrix-27, plain, ( ( __eqx_0 != __eqy_0) | ( c_Hoare__Mirabelle_Otriple_Otriple(__eqx_0) = c_Hoare__Mirabelle_Otriple_Otriple(__eqy_0)) )).
% 12.16/12.37 cnf(matrix-28, plain, ( ( __eqx_0 != __eqy_0) | ( c_Hoare__Mirabelle_OMGT(__eqx_0) = c_Hoare__Mirabelle_OMGT(__eqy_0)) )).
% 12.16/12.37 cnf(matrix-29, 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) | ( __eqx_9 != __eqy_9) | ( c_Com_Ocom_Ocom__rec(__eqx_0, __eqx_1, __eqx_2, __eqx_3, __eqx_4, __eqx_5, __eqx_6, __eqx_7, __eqx_8, __eqx_9) = c_Com_Ocom_Ocom__rec(__eqy_0, __eqy_1, __eqy_2, __eqy_3, __eqy_4, __eqy_5, __eqy_6, __eqy_7, __eqy_8, __eqy_9)) )).
% 12.16/12.37 cnf(matrix-30, 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)) )).
% 12.16/12.37 cnf(matrix-31, plain, ( ( __eqx_0 != __eqy_0) | ( c_Suc(__eqx_0) = c_Suc(__eqy_0)) )).
% 12.16/12.37 cnf(matrix-32, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( __eqx_3 != __eqy_3) | ( __eqx_4 != __eqy_4) | ( c_Fun_Ofcomp(__eqx_0, __eqx_1, __eqx_2, __eqx_3, __eqx_4) = c_Fun_Ofcomp(__eqy_0, __eqy_1, __eqy_2, __eqy_3, __eqy_4)) )).
% 12.16/12.37 cnf(matrix-33, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( __eqx_3 != __eqy_3) | ( c_Natural_Osko__Natural__Xevaln__elim__cases__6__1(__eqx_0, __eqx_1, __eqx_2, __eqx_3) = c_Natural_Osko__Natural__Xevaln__elim__cases__6__1(__eqy_0, __eqy_1, __eqy_2, __eqy_3)) )).
% 12.16/12.37 cnf(matrix-34, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( __eqx_3 != __eqy_3) | ( c_Hoare__Mirabelle_Otriple_Otriple__case(__eqx_0, __eqx_1, __eqx_2, __eqx_3) = c_Hoare__Mirabelle_Otriple_Otriple__case(__eqy_0, __eqy_1, __eqy_2, __eqy_3)) )).
% 12.16/12.37 cnf(matrix-35, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( __eqx_3 != __eqy_3) | ( c_Hoare__Mirabelle_Otriple_Otriple__rec(__eqx_0, __eqx_1, __eqx_2, __eqx_3) = c_Hoare__Mirabelle_Otriple_Otriple__rec(__eqy_0, __eqy_1, __eqy_2, __eqy_3)) )).
% 12.16/12.37 cnf(matrix-36, plain, ( ( __eqx_0 != __eqy_0) | ( c_Option_Othe(__eqx_0) = c_Option_Othe(__eqy_0)) )).
% 12.16/12.37 cnf(matrix-37, plain, ( ( __eqx_0 != __eqy_0) | ( c_fequal(__eqx_0) = c_fequal(__eqy_0)) )).
% 12.16/12.37 cnf(matrix-38, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( __eqx_3 != __eqy_3) | ( __eqx_4 != __eqy_4) | ( c_COMBB(__eqx_0, __eqx_1, __eqx_2, __eqx_3, __eqx_4) = c_COMBB(__eqy_0, __eqy_1, __eqy_2, __eqy_3, __eqy_4)) )).
% 12.16/12.37 cnf(matrix-39, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( __eqx_3 != __eqy_3) | ( __eqx_4 != __eqy_4) | ( c_COMBS(__eqx_0, __eqx_1, __eqx_2, __eqx_3, __eqx_4) = c_COMBS(__eqy_0, __eqy_1, __eqy_2, __eqy_3, __eqy_4)) )).
% 12.16/12.37 cnf(matrix-40, plain, ( ( __eqx_0 != __eqy_0) | ( tc_Option_Ooption(__eqx_0) = tc_Option_Ooption(__eqy_0)) )).
% 12.16/12.37 cnf(matrix-41, plain, ( ( __eqx_0 != __eqy_0) | ~class_OrderedGroup_Olordered__ab__group__add(__eqx_0) | class_OrderedGroup_Olordered__ab__group__add(__eqy_0) )).
% 12.16/12.37 cnf(matrix-42, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ~c_lessequals(__eqx_0, __eqx_1, __eqx_2) | c_lessequals(__eqy_0, __eqy_1, __eqy_2) )).
% 12.16/12.37 cnf(matrix-43, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( __eqx_3 != __eqy_3) | ~c_Fun_Oinj__on(__eqx_0, __eqx_1, __eqx_2, __eqx_3) | c_Fun_Oinj__on(__eqy_0, __eqy_1, __eqy_2, __eqy_3) )).
% 12.16/12.37 cnf(matrix-44, plain, ( ( __eqx_0 != __eqy_0) | ~hBOOL(__eqx_0) | hBOOL(__eqy_0) )).
% 12.16/12.37 cnf(matrix-45, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( __eqx_3 != __eqy_3) | ~c_Natural_Oevaln(__eqx_0, __eqx_1, __eqx_2, __eqx_3) | c_Natural_Oevaln(__eqy_0, __eqy_1, __eqy_2, __eqy_3) )).
% 12.16/12.37 cnf(matrix-46, plain, ( ( __eqx_0 != __eqy_0) | ~class_OrderedGroup_Oab__group__add(__eqx_0) | class_OrderedGroup_Oab__group__add(__eqy_0) )).
% 12.16/12.37 cnf(matrix-47, plain, ( ( __eqx_0 != __eqy_0) | ~c_Com_OWT(__eqx_0) | c_Com_OWT(__eqy_0) )).
% 12.16/12.37 cnf(matrix-48, plain, ( ( __eqx_0 != __eqy_0) | ~class_Ring__and__Field_Oidom(__eqx_0) | class_Ring__and__Field_Oidom(__eqy_0) )).
% 12.16/12.37 cnf(matrix-49, plain, ( ( __eqx_0 != __eqy_0) | ~class_Int_Onumber__ring(__eqx_0) | class_Int_Onumber__ring(__eqy_0) )).
% 12.16/12.37 cnf(matrix-50, plain, ( ( __eqx_0 != __eqy_0) | ~class_OrderedGroup_Ogroup__add(__eqx_0) | class_OrderedGroup_Ogroup__add(__eqy_0) )).
% 12.16/12.37 cnf(matrix-51, 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) )).
% 12.16/12.37 cnf(matrix-52, 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) )).
% 12.16/12.37 cnf(matrix-53, plain, ( ( __eqx_0 != __eqy_0) | ~class_Orderings_Obot(__eqx_0) | class_Orderings_Obot(__eqy_0) )).
% 12.16/12.37 cnf(matrix-54, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ~c_Hoare__Mirabelle_Otriple__valid(__eqx_0, __eqx_1, __eqx_2) | c_Hoare__Mirabelle_Otriple__valid(__eqy_0, __eqy_1, __eqy_2) )).
% 12.16/12.37 cnf(matrix-55, plain, ( ( __eqx_0 != __eqy_0) | ~class_Orderings_Otop(__eqx_0) | class_Orderings_Otop(__eqy_0) )).
% 12.16/12.37 cnf(matrix-56, plain, ( ( __eqx_0 != __eqy_0) | ~class_HOL_Ominus(__eqx_0) | class_HOL_Ominus(__eqy_0) )).
% 12.16/12.37 cnf(matrix-57, plain, ( ( __eqx_0 != __eqy_0) | ~class_HOL_Oord(__eqx_0) | class_HOL_Oord(__eqy_0) )).
% 12.16/12.37 cnf(matrix-58, plain, ( ( __eqx_0 != __eqy_0) | ~class_Lattices_Oupper__semilattice(__eqx_0) | class_Lattices_Oupper__semilattice(__eqy_0) )).
% 12.16/12.37 cnf(matrix-59, plain, ( ( __eqx_0 != __eqy_0) | ~class_Lattices_Obounded__lattice(__eqx_0) | class_Lattices_Obounded__lattice(__eqy_0) )).
% 12.16/12.37 cnf(matrix-60, plain, ( ( __eqx_0 != __eqy_0) | ~class_Lattices_Olattice(__eqx_0) | class_Lattices_Olattice(__eqy_0) )).
% 12.16/12.37 cnf(matrix-61, plain, ( ( __eqx_0 != __eqy_0) | ~class_Orderings_Oorder(__eqx_0) | class_Orderings_Oorder(__eqy_0) )).
% 12.16/12.37 cnf(matrix-62, plain, ( ( __eqx_0 != __eqy_0) | ~class_OrderedGroup_Opordered__ab__group__add(__eqx_0) | class_OrderedGroup_Opordered__ab__group__add(__eqy_0) )).
% 12.16/12.37 cnf(matrix-63, plain, ( ( __eqx_0 != __eqy_0) | ~class_Orderings_Opreorder(__eqx_0) | class_Orderings_Opreorder(__eqy_0) )).
% 12.16/12.37 cnf(matrix-64, plain, ( ( __eqx_0 != __eqy_0) | ~class_Orderings_Olinorder(__eqx_0) | class_Orderings_Olinorder(__eqy_0) )).
% 12.16/12.37 cnf(matrix-65, plain, ( ~class_OrderedGroup_Olordered__ab__group__add(T_a) | ( c_OrderedGroup_Olordered__ab__group__add__class_Opprt(V_a, T_a) = V_a) | ~c_lessequals(c_HOL_Ozero__class_Ozero(T_a), V_a, T_a) )).
% 12.16/12.37 cnf(matrix-66, plain, ( ~class_OrderedGroup_Olordered__ab__group__add(T_a) | ( c_OrderedGroup_Olordered__ab__group__add__class_Opprt(V_a, T_a) != V_a) | c_lessequals(c_HOL_Ozero__class_Ozero(T_a), V_a, T_a) )).
% 12.16/12.37 cnf(matrix-67, plain, ( ( hAPP(c_Fun_Ocomp(v_f, v_g, t_a, t_b, t_c), v_x) = hAPP(v_f, hAPP(v_g, v_x))) )).
% 12.16/12.37 cnf(matrix-68, plain, ( ( c_Com_Ocom_OCall(V_vname_H, V_pname_H, V_fun_H) != c_Com_Ocom_OSemi(V_com1, V_com2)) )).
% 12.16/12.37 cnf(matrix-69, plain, ( c_Fun_Oinj__on(V_f, c_Set_Oinsert(V_a, V_A, T_a), T_a, T_b) | hBOOL(hAPP(hAPP(c_in(T_b), hAPP(V_f, V_a)), c_Set_Oimage(V_f, c_HOL_Ominus__class_Ominus(V_A, c_Set_Oinsert(V_a, c_Orderings_Obot__class_Obot(tc_fun(T_a, tc_bool)), T_a), tc_fun(T_a, tc_bool)), T_a, T_b))) | ~c_Fun_Oinj__on(V_f, V_A, T_a, T_b) )).
% 12.16/12.37 cnf(matrix-70, plain, ( hBOOL(hAPP(hAPP(c_in(T_a), V_x), c_Set_Oinsert(V_x, V_A, T_a))) )).
% 12.16/12.37 cnf(matrix-71, plain, ( hBOOL(hAPP(hAPP(c_in(T_a), V_a), c_Set_Oinsert(V_a, V_B, T_a))) )).
% 12.16/12.37 cnf(matrix-72, plain, ( hBOOL(hAPP(hAPP(c_in(T_a), V_x), c_Set_Oinsert(V_x, V_B, T_a))) )).
% 12.16/12.37 cnf(matrix-73, plain, ( c_Fun_Oinj__on(c_Fun_Oid(T_a), V_A, T_a, T_a) )).
% 12.16/12.37 cnf(matrix-74, plain, ( ( c_Com_Ocom_Ocom__case(V_f1, V_f2, V_f3, V_f4, V_f5, V_f6, V_f7, V_f8, c_Com_Ocom_OCall(V_vname, V_pname, V_fun), T_a) = hAPP(hAPP(hAPP(V_f8, V_vname), V_pname), V_fun)) )).
% 12.16/12.37 cnf(matrix-75, plain, ( c_Natural_Oevaln(c_Com_Ocom_OCond(V_b, V_c0, V_c1), V_s, V_n, V_s1) | ~c_Natural_Oevaln(V_c0, V_s, V_n, V_s1) | ~hBOOL(hAPP(V_b, V_s)) )).
% 12.16/12.37 cnf(matrix-76, plain, ( ~hBOOL(hAPP(V_b, V_s)) | c_Natural_Oevaln(V_c1, V_s, V_n, V_t) | ~c_Natural_Oevaln(c_Com_Ocom_OCond(V_b, V_c1, V_c2), V_s, V_n, V_t) )).
% 12.16/12.37 cnf(matrix-77, plain, ( ( c_Set_Oinsert(V_x, c_Set_Oinsert(V_y, V_A, T_a), T_a) = c_Set_Oinsert(V_y, c_Set_Oinsert(V_x, V_A, T_a), T_a)) )).
% 12.16/12.37 cnf(matrix-78, plain, ( hBOOL(hAPP(hAPP(c_in(T_a), V_x), V_S)) | ~hBOOL(hAPP(V_S, V_x)) )).
% 12.16/12.37 cnf(matrix-79, plain, ( hBOOL(hAPP(V_S, V_x)) | ~hBOOL(hAPP(hAPP(c_in(T_a), V_x), V_S)) )).
% 12.16/12.37 cnf(matrix-80, plain, ( ( hAPP(c_COMBC(V_P, V_Q, T_b, T_c, T_a), V_R) = hAPP(hAPP(V_P, V_R), V_Q)) )).
% 12.16/12.37 cnf(matrix-81, 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))) )).
% 12.16/12.37 cnf(matrix-82, plain, ( ( c_Com_Ocom_Ocom__case(V_f1, V_f2, V_f3, V_f4, V_f5, V_f6, V_f7, V_f8, c_Com_Ocom_OAss(V_vname, V_fun), T_a) = hAPP(hAPP(V_f2, V_vname), V_fun)) )).
% 12.16/12.37 cnf(matrix-83, plain, ( hBOOL(hAPP(hAPP(c_in(T_a), hAPP(V_f, V_x)), c_Set_Oimage(V_f, c_Orderings_Otop__class_Otop(tc_fun(T_b, tc_bool)), T_b, T_a))) )).
% 12.16/12.37 cnf(matrix-84, plain, ( c_Natural_Oevaln(c_Com_Ocom_OWhile(V_b, V_c), V_s0, V_n, V_s2) | ~c_Natural_Oevaln(c_Com_Ocom_OWhile(V_b, V_c), V_s1, V_n, V_s2) | ~c_Natural_Oevaln(V_c, V_s0, V_n, V_s1) | ~hBOOL(hAPP(V_b, V_s0)) )).
% 12.16/12.37 cnf(matrix-85, plain, ( ( c_Option_Ooption_ONone(T_a) != c_Option_Ooption_OSome(V_y, T_a)) )).
% 12.16/12.37 cnf(matrix-86, plain, ( ( c_Option_Ooption_ONone(T_a) != c_Option_Ooption_OSome(V_a_H, T_a)) )).
% 12.16/12.37 cnf(matrix-87, plain, ( ( c_Set_Oinsert(V_xa, c_Set_Oinsert(V_x, c_Orderings_Obot__class_Obot(tc_fun(T_a, tc_bool)), T_a), T_a) = c_Set_Oinsert(V_x, c_Set_Oinsert(V_xa, c_Orderings_Obot__class_Obot(tc_fun(T_a, tc_bool)), T_a), T_a)) )).
% 12.16/12.37 cnf(matrix-88, 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) )).
% 12.16/12.37 cnf(matrix-89, 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) )).
% 12.16/12.37 cnf(matrix-90, plain, ( c_Natural_Oevaln(c_Com_Ocom_OSemi(V_c0, V_c1), V_s0, V_n, V_s2) | ~c_Natural_Oevaln(V_c1, V_s1, V_n, V_s2) | ~c_Natural_Oevaln(V_c0, V_s0, V_n, V_s1) )).
% 12.16/12.37 cnf(matrix-91, plain, ( c_Com_OWT(c_Com_Ocom_OSKIP) )).
% 12.16/12.37 cnf(matrix-92, plain, ( c_lessequals(c_HOL_Ominus__class_Ominus(c_Set_Oimage(V_f, V_A, T_b, T_a), c_Set_Oimage(V_f, V_B, T_b, T_a), tc_fun(T_a, tc_bool)), c_Set_Oimage(V_f, c_HOL_Ominus__class_Ominus(V_A, V_B, tc_fun(T_b, tc_bool)), T_b, T_a), tc_fun(T_a, tc_bool)) )).
% 12.16/12.37 cnf(matrix-93, plain, ( c_Com_OWT(c_Com_Ocom_OAss(V_X, V_a)) )).
% 12.16/12.37 cnf(matrix-94, plain, ( c_Fun_Oinj__on(V_f, c_Orderings_Obot__class_Obot(tc_fun(T_a, tc_bool)), T_a, T_b) )).
% 12.16/12.37 cnf(matrix-95, plain, ( ( hAPP(V_f, V_x) != hAPP(V_f, V_y)) | ~hBOOL(hAPP(hAPP(c_in(T_a), V_y), V_A)) | ~hBOOL(hAPP(hAPP(c_in(T_a), V_x), V_A)) | ( V_x = V_y) | ~c_Fun_Oinj__on(V_f, V_A, T_a, T_b) )).
% 12.16/12.37 cnf(matrix-96, plain, ( ( hAPP(V_f, V_x) != hAPP(V_f, V_y)) | ~hBOOL(hAPP(hAPP(c_in(T_a), V_y), V_A)) | ~hBOOL(hAPP(hAPP(c_in(T_a), V_x), V_A)) | ~c_Fun_Oinj__on(V_f, V_A, T_a, T_b) | ( V_x = V_y) )).
% 12.16/12.37 cnf(matrix-97, plain, ( ( hAPP(V_f, V_x) != hAPP(V_f, V_xa)) | ~hBOOL(hAPP(hAPP(c_in(T_a), V_xa), V_A)) | ~hBOOL(hAPP(hAPP(c_in(T_a), V_x), V_A)) | ~c_Fun_Oinj__on(V_f, V_A, T_a, T_b) | ( V_x = V_xa) )).
% 12.16/12.37 cnf(matrix-98, plain, ( ( hAPP(V_f, V_x) != hAPP(V_f, V_y)) | ~c_Fun_Oinj__on(V_f, V_A, T_a, T_b) | ( V_x = V_y) | ~hBOOL(hAPP(hAPP(c_in(T_a), V_y), V_A)) | ~hBOOL(hAPP(hAPP(c_in(T_a), V_x), V_A)) )).
% 12.16/12.37 cnf(matrix-99, plain, ( c_Com_OWT(c_Com_Ocom_OCall(V_X, V_pn, V_a)) | ~c_Com_OWT(hAPP(c_Com_Ocom_OBODY, V_pn)) )).
% 12.16/12.37 cnf(matrix-100, plain, ( c_Com_OWT(hAPP(c_Com_Ocom_OBODY, V_P)) | ~c_Com_OWT(c_Com_Ocom_OCall(V_X, V_P, V_a)) )).
% 12.16/12.37 cnf(matrix-101, plain, ( ( c_Lattices_Oupper__semilattice__class_Osup(V_A, c_HOL_Ominus__class_Ominus(V_B, V_A, tc_fun(T_a, tc_bool)), tc_fun(T_a, tc_bool)) = V_B) | ~c_lessequals(V_A, V_B, tc_fun(T_a, tc_bool)) )).
% 12.16/12.37 cnf(matrix-102, plain, ( ( c_Com_Ocom_OSKIP != c_Com_Ocom_OCond(V_fun_H, V_com1_H, V_com2_H)) )).
% 12.16/12.37 cnf(matrix-103, plain, ( ( c_Com_Ocom_OAss(V_vname, V_fun) != c_Com_Ocom_OCall(V_vname_H, V_pname_H, V_fun_H)) )).
% 12.16/12.37 cnf(matrix-104, plain, ( c_lessequals(c_HOL_Ominus__class_Ominus(V_A, V_B, tc_fun(T_a, tc_bool)), V_A, tc_fun(T_a, tc_bool)) )).
% 12.16/12.37 cnf(matrix-105, plain, ( ( c_Set_Oinsert(V_a, c_HOL_Ominus__class_Ominus(V_A, c_Set_Oinsert(V_a, c_Orderings_Obot__class_Obot(tc_fun(T_a, tc_bool)), T_a), tc_fun(T_a, tc_bool)), T_a) = c_Set_Oinsert(V_a, V_A, T_a)) )).
% 12.16/12.37 cnf(matrix-106, plain, ( ( c_Set_Oinsert(V_a, c_Orderings_Obot__class_Obot(tc_fun(T_a, tc_bool)), T_a) != c_Set_Oinsert(V_b, c_Orderings_Obot__class_Obot(tc_fun(T_a, tc_bool)), T_a)) | ( V_a = V_b) )).
% 12.16/12.37 cnf(matrix-107, 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)))) )).
% 12.16/12.37 cnf(matrix-108, 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) )).
% 12.16/12.37 cnf(matrix-109, 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) )).
% 12.16/12.37 cnf(matrix-110, 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) )).
% 12.16/12.37 cnf(matrix-111, plain, ( ( c_COMBC(c_in(T_a), V_R, T_a, tc_fun(T_a, tc_bool), tc_bool) != c_COMBC(c_in(T_a), V_S, T_a, tc_fun(T_a, tc_bool), tc_bool)) | ( V_R = V_S) )).
% 12.16/12.37 cnf(matrix-112, plain, ( ( c_Set_Oinsert(V_x, V_xa, T_a) != c_Orderings_Obot__class_Obot(tc_fun(T_a, tc_bool))) | hBOOL(hAPP(hAPP(c_in(T_a), V_x), V_xa)) )).
% 12.16/12.37 cnf(matrix-113, plain, ( c_Hoare__Mirabelle_Ohoare__derivs(V_G, c_Set_Oinsert(V_t, c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(T_a), tc_bool)), tc_Hoare__Mirabelle_Otriple(T_a)), T_a) | ~c_Hoare__Mirabelle_Ohoare__derivs(V_G, c_Set_Oinsert(V_t, V_ts, tc_Hoare__Mirabelle_Otriple(T_a)), T_a) )).
% 12.16/12.37 cnf(matrix-114, 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)) )).
% 12.16/12.37 cnf(matrix-115, 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)) )).
% 12.16/12.37 cnf(matrix-116, plain, ( ( c_Com_Ocom_OCall(V_vname_H, V_pname_H, V_fun_H) != c_Com_Ocom_OLocal(V_loc, V_fun, V_com)) )).
% 12.16/12.37 cnf(matrix-117, plain, ( ( c_Set_Oimage(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_Set_Oimage(V_f, V_A, T_a, T_b), c_Set_Oimage(V_f, V_B, T_a, T_b), tc_fun(T_b, tc_bool))) | ~c_Fun_Oinj__on(V_f, c_Orderings_Otop__class_Otop(tc_fun(T_a, tc_bool)), T_a, T_b) )).
% 12.16/12.37 cnf(matrix-118, plain, ( hBOOL(hAPP(hAPP(c_in(T_a), V_x), V_B)) | ~c_lessequals(c_Set_Oinsert(V_x, V_A, T_a), V_B, tc_fun(T_a, tc_bool)) )).
% 12.16/12.37 cnf(matrix-119, plain, ( ( c_Com_Ocom_OCall(V_vname_H, V_pname_H, V_fun_H) != c_Com_Ocom_OWhile(V_fun, V_com)) )).
% 12.16/12.37 cnf(matrix-120, plain, ( hBOOL(hAPP(c_Set_Oinsert(V_y, V_A, T_a), V_x)) | ~hBOOL(hAPP(V_A, V_x)) )).
% 12.16/12.37 cnf(matrix-121, plain, ( ( c_Set_Oinsert(hAPP(V_f, V_x), c_Set_Oimage(V_f, V_A, T_a, T_b), T_b) = c_Set_Oimage(V_f, V_A, T_a, T_b)) | ~hBOOL(hAPP(hAPP(c_in(T_a), V_x), V_A)) )).
% 12.16/12.37 cnf(matrix-122, plain, ( c_lessequals(V_A, c_Set_Oinsert(V_x, V_B, T_a), tc_fun(T_a, tc_bool)) | ~c_lessequals(V_A, V_B, tc_fun(T_a, tc_bool)) | hBOOL(hAPP(hAPP(c_in(T_a), V_x), V_A)) )).
% 12.16/12.37 cnf(matrix-123, plain, ( c_Hoare__Mirabelle_Ohoare__derivs(c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(tc_Com_Ostate), tc_bool)), c_Set_Oinsert(hAPP(hAPP(hAPP(c_Hoare__Mirabelle_Otriple_Otriple(tc_Com_Ostate), V_P), V_c), V_Q), c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(tc_Com_Ostate), tc_bool)), tc_Hoare__Mirabelle_Otriple(tc_Com_Ostate)), tc_Com_Ostate) | ~c_Hoare__Mirabelle_Ohoare__valids(c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(tc_Com_Ostate), tc_bool)), c_Set_Oinsert(hAPP(hAPP(hAPP(c_Hoare__Mirabelle_Otriple_Otriple(tc_Com_Ostate), V_P), V_c), V_Q), c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(tc_Com_Ostate), tc_bool)), tc_Hoare__Mirabelle_Otriple(tc_Com_Ostate)), tc_Com_Ostate) | ~c_Hoare__Mirabelle_Ohoare__derivs(c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(tc_Com_Ostate), tc_bool)), c_Set_Oinsert(c_Hoare__Mirabelle_OMGT(V_c), c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(tc_Com_Ostate), tc_bool)), tc_Hoare__Mirabelle_Otriple(tc_Com_Ostate)), tc_Com_Ostate) )).
% 12.16/12.37 cnf(matrix-124, plain, ( ( c_Fun_Ocomp(c_Fun_Oid(T_b), V_g, T_b, T_b, T_a) = V_g) )).
% 12.16/12.37 cnf(matrix-125, plain, ( ( c_Fun_Ocomp(V_f, c_Fun_Oid(T_a), T_a, T_b, T_a) = V_f) )).
% 12.16/12.37 cnf(matrix-126, plain, ( c_Fun_Oinj__on(V_g, c_Set_Oimage(V_f, V_A, T_a, T_c), T_c, T_b) | ~c_Fun_Oinj__on(c_Fun_Ocomp(V_g, V_f, T_c, T_b, T_a), V_A, T_a, T_b) )).
% 12.16/12.37 cnf(matrix-127, plain, ( ( V_b = V_a) | ~hBOOL(hAPP(hAPP(c_in(T_a), V_b), c_Set_Oinsert(V_a, c_Orderings_Obot__class_Obot(tc_fun(T_a, tc_bool)), T_a))) )).
% 12.16/12.37 cnf(matrix-128, plain, ( hBOOL(hAPP(hAPP(c_in(T_a), hAPP(V_f, V_x)), V_B)) | ~hBOOL(hAPP(hAPP(c_in(T_b), V_x), V_A)) | ~c_lessequals(c_Set_Oimage(V_f, V_A, T_b, T_a), V_B, tc_fun(T_a, tc_bool)) )).
% 12.16/12.37 cnf(matrix-129, plain, ( c_lessequals(c_HOL_Ominus__class_Ominus(V_A, c_Set_Oinsert(V_x, c_Orderings_Obot__class_Obot(tc_fun(T_a, tc_bool)), T_a), tc_fun(T_a, tc_bool)), V_B, tc_fun(T_a, tc_bool)) | ~hBOOL(hAPP(hAPP(c_in(T_a), V_x), V_A)) | ~c_lessequals(V_A, c_Set_Oinsert(V_x, V_B, T_a), tc_fun(T_a, tc_bool)) )).
% 12.16/12.37 cnf(matrix-130, plain, ( c_lessequals(V_A, c_Set_Oinsert(V_x, V_B, T_a), tc_fun(T_a, tc_bool)) | ~hBOOL(hAPP(hAPP(c_in(T_a), V_x), V_A)) | ~c_lessequals(c_HOL_Ominus__class_Ominus(V_A, c_Set_Oinsert(V_x, c_Orderings_Obot__class_Obot(tc_fun(T_a, tc_bool)), T_a), tc_fun(T_a, tc_bool)), V_B, tc_fun(T_a, tc_bool)) )).
% 12.16/12.37 cnf(matrix-131, plain, ( c_lessequals(V_A, c_Set_Oinsert(V_x, V_B, T_a), tc_fun(T_a, tc_bool)) | ~hBOOL(hAPP(hAPP(c_in(T_a), V_x), V_A)) | ~c_lessequals(c_HOL_Ominus__class_Ominus(V_A, c_Set_Oinsert(V_x, c_Orderings_Obot__class_Obot(tc_fun(T_a, tc_bool)), T_a), tc_fun(T_a, tc_bool)), V_B, tc_fun(T_a, tc_bool)) )).
% 12.16/12.37 cnf(matrix-132, plain, ( c_Natural_Oevaln(c_Com_Ocom_OWhile(V_b, V_c), V_s, V_n, V_s) | hBOOL(hAPP(V_b, V_s)) )).
% 12.16/12.37 cnf(matrix-133, plain, ( c_lessequals(V_A, V_B, tc_fun(T_a, tc_bool)) | ~c_lessequals(c_Set_Oimage(V_f, V_A, T_a, T_b), c_Set_Oimage(V_f, V_B, T_a, T_b), tc_fun(T_b, tc_bool)) | ~c_Fun_Oinj__on(V_f, c_Orderings_Otop__class_Otop(tc_fun(T_a, tc_bool)), T_a, T_b) )).
% 12.16/12.37 cnf(matrix-134, plain, ( c_lessequals(c_Set_Oimage(V_f, V_A, T_a, T_b), c_Set_Oimage(V_f, V_B, T_a, T_b), tc_fun(T_b, tc_bool)) | ~c_lessequals(V_A, V_B, tc_fun(T_a, tc_bool)) | ~c_Fun_Oinj__on(V_f, c_Orderings_Otop__class_Otop(tc_fun(T_a, tc_bool)), T_a, T_b) )).
% 12.16/12.37 cnf(matrix-135, plain, ( c_Fun_Oinj__on(V_f, V_A, T_a, T_b) | ~c_Fun_Oinj__on(V_f, c_Set_Oinsert(V_a, V_A, T_a), T_a, T_b) )).
% 12.16/12.37 cnf(matrix-136, plain, ( ( c_Com_Ocom_OCond(V_fun, V_com1, V_com2) != c_Com_Ocom_OCall(V_vname_H, V_pname_H, V_fun_H)) )).
% 12.16/12.37 cnf(matrix-137, plain, ( ( c_HOL_Ominus__class_Ominus(c_Set_Oinsert(V_x, V_A, T_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)) )).
% 12.16/12.37 cnf(matrix-138, plain, ( ( c_Com_Ocom_OLocal(V_loc, V_fun, V_com) != c_Com_Ocom_OCond(V_fun_H, V_com1_H, V_com2_H)) )).
% 12.16/12.37 cnf(matrix-139, plain, ( c_lessequals(V_A, V_B, tc_fun(T_a, tc_bool)) | ~c_lessequals(c_Set_Oinsert(V_x, V_A, T_a), V_B, tc_fun(T_a, tc_bool)) )).
% 12.16/12.37 cnf(matrix-140, plain, ( c_lessequals(V_A, c_Set_Oinsert(V_b, V_B, T_a), tc_fun(T_a, tc_bool)) | ~c_lessequals(V_A, V_B, tc_fun(T_a, tc_bool)) )).
% 12.16/12.37 cnf(matrix-141, plain, ( ( c_Com_Ocom_Ocom__rec(V_f1, V_f2, V_f3, V_f4, V_f5, V_f6, V_f7, V_f8, c_Com_Ocom_OSKIP, T_a) = V_f1) )).
% 12.16/12.37 cnf(matrix-142, plain, ( ( c_Com_Ocom_OAss(V_vname, V_fun) != c_Com_Ocom_OSemi(V_com1_H, V_com2_H)) )).
% 12.16/12.37 cnf(matrix-143, plain, ( ( c_Com_Ocom_Ocom__rec(V_f1, V_f2, V_f3, V_f4, V_f5, V_f6, V_f7, V_f8, c_Com_Ocom_OLocal(V_loc, V_fun, V_com), T_a) = hAPP(hAPP(hAPP(hAPP(V_f3, V_loc), V_fun), V_com), c_Com_Ocom_Ocom__rec(V_f1, V_f2, V_f3, V_f4, V_f5, V_f6, V_f7, V_f8, V_com, T_a))) )).
% 12.16/12.37 cnf(matrix-144, plain, ( ( c_Com_Ocom_OCall(V_vname, V_pname, V_fun) != c_Com_Ocom_OCall(V_vname_H, V_pname_H, V_fun_H)) | ( V_fun = V_fun_H) )).
% 12.16/12.37 cnf(matrix-145, plain, ( ( c_Com_Ocom_OCall(V_vname, V_pname, V_fun) != c_Com_Ocom_OCall(V_vname_H, V_pname_H, V_fun_H)) | ( V_pname = V_pname_H) )).
% 12.16/12.37 cnf(matrix-146, plain, ( ( c_Com_Ocom_OCall(V_vname, V_pname, V_fun) != c_Com_Ocom_OCall(V_vname_H, V_pname_H, V_fun_H)) | ( V_vname = V_vname_H) )).
% 12.16/12.37 cnf(matrix-147, plain, ( ( c_Com_Ocom_Ocom__rec(V_f1, V_f2, V_f3, V_f4, V_f5, V_f6, V_f7, V_f8, c_Com_Ocom_OSemi(V_com1, V_com2), T_a) = hAPP(hAPP(hAPP(hAPP(V_f4, V_com1), V_com2), c_Com_Ocom_Ocom__rec(V_f1, V_f2, V_f3, V_f4, V_f5, V_f6, V_f7, V_f8, V_com1, T_a)), c_Com_Ocom_Ocom__rec(V_f1, V_f2, V_f3, V_f4, V_f5, V_f6, V_f7, V_f8, V_com2, T_a))) )).
% 12.16/12.37 cnf(matrix-148, 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)) )).
% 12.16/12.37 cnf(matrix-149, plain, ( ( c_Com_Ocom_OWhile(V_fun_H, V_com_H) != c_Com_Ocom_OSKIP) )).
% 12.16/12.37 cnf(matrix-150, plain, ( c_Fun_Oinj__on(V_f, c_HOL_Ominus__class_Ominus(V_A, V_B, tc_fun(T_a, tc_bool)), T_a, T_b) | ~c_Fun_Oinj__on(V_f, V_A, T_a, T_b) )).
% 12.16/12.37 cnf(matrix-151, plain, ( ( c_Com_Ocom_OWhile(V_fun_H, V_com_H) != c_Com_Ocom_OLocal(V_loc, V_fun, V_com)) )).
% 12.16/12.37 cnf(matrix-152, 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))) )).
% 12.16/12.37 cnf(matrix-153, plain, ( ( c_HOL_Ozero__class_Ozero(tc_nat) != c_Suc(V_nat_H)) )).
% 12.16/12.37 cnf(matrix-154, plain, ( ( c_HOL_Ozero__class_Ozero(tc_nat) != c_Suc(V_m)) )).
% 12.16/12.37 cnf(matrix-155, plain, ( c_lessequals(c_Set_Oimage(V_f, c_Set_Ovimage(V_f, V_A, T_b, T_a), T_b, T_a), V_A, tc_fun(T_a, tc_bool)) )).
% 12.16/12.37 cnf(matrix-156, plain, ( ( c_Set_Ovimage(V_f, c_Set_Oimage(V_f, V_A, T_a, T_b), T_a, T_b) = V_A) | ~c_Fun_Oinj__on(V_f, c_Orderings_Otop__class_Otop(tc_fun(T_a, tc_bool)), T_a, T_b) )).
% 12.16/12.37 cnf(matrix-157, plain, ( ~class_OrderedGroup_Olordered__ab__group__add(T_a) | ( c_OrderedGroup_Olordered__ab__group__add__class_Opprt(c_HOL_Ozero__class_Ozero(T_a), T_a) = c_HOL_Ozero__class_Ozero(T_a)) )).
% 12.16/12.37 cnf(matrix-158, plain, ( c_lessequals(c_Orderings_Obot__class_Obot(tc_fun(T_a, tc_bool)), V_A, tc_fun(T_a, tc_bool)) )).
% 12.16/12.37 cnf(matrix-159, plain, ( ~class_Orderings_Obot(T_a) | c_lessequals(c_Orderings_Obot__class_Obot(T_a), V_x, T_a) )).
% 12.16/12.37 cnf(matrix-160, plain, ( ( c_Com_Ocom_OSemi(V_com1, V_com2) != c_Com_Ocom_OSemi(V_com1_H, V_com2_H)) | ( V_com2 = V_com2_H) )).
% 12.16/12.37 cnf(matrix-161, plain, ( ( c_Com_Ocom_OSemi(V_com1, V_com2) != c_Com_Ocom_OSemi(V_com1_H, V_com2_H)) | ( V_com1 = V_com1_H) )).
% 12.16/12.37 cnf(matrix-162, plain, ( ( c_Set_Ovimage(V_f, c_Orderings_Otop__class_Otop(tc_fun(T_b, tc_bool)), T_a, T_b) = c_Orderings_Otop__class_Otop(tc_fun(T_a, tc_bool))) )).
% 12.16/12.37 cnf(matrix-163, plain, ( ( c_Com_Ocom_OSemi(V_com1, V_com2) != c_Com_Ocom_OWhile(V_fun_H, V_com_H)) )).
% 12.16/12.37 cnf(matrix-164, plain, ( ( c_HOL_Ominus__class_Ominus(V_A, c_Set_Oinsert(V_a, V_B, T_a), 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)), c_Set_Oinsert(V_a, c_Orderings_Obot__class_Obot(tc_fun(T_a, tc_bool)), T_a), tc_fun(T_a, tc_bool))) )).
% 12.16/12.37 cnf(matrix-165, plain, ( ( c_HOL_Ominus__class_Ominus(V_A, c_Set_Oinsert(V_a, V_B, T_a), tc_fun(T_a, tc_bool)) = c_HOL_Ominus__class_Ominus(c_HOL_Ominus__class_Ominus(V_A, c_Set_Oinsert(V_a, c_Orderings_Obot__class_Obot(tc_fun(T_a, tc_bool)), T_a), tc_fun(T_a, tc_bool)), V_B, tc_fun(T_a, tc_bool))) )).
% 12.16/12.37 cnf(matrix-166, plain, ( ( c_Com_Ocom_OSemi(V_com1, V_com2) != c_Com_Ocom_OCond(V_fun_H, V_com1_H, V_com2_H)) )).
% 12.16/12.37 cnf(matrix-167, plain, ( ( c_Set_Oinsert(V_a, V_A, T_a) != c_Orderings_Obot__class_Obot(tc_fun(T_a, tc_bool))) )).
% 12.16/12.37 cnf(matrix-168, plain, ( ( c_Com_Ocom_OSemi(V_com1_H, V_com2_H) != c_Com_Ocom_OLocal(V_loc, V_fun, V_com)) )).
% 12.16/12.37 cnf(matrix-169, plain, ( hBOOL(hAPP(hAPP(c_in(T_aa), V_a), c_Set_Ovimage(V_f, c_Set_Oinsert(hAPP(V_f, V_a), c_Orderings_Obot__class_Obot(tc_fun(T_a, tc_bool)), T_a), T_aa, T_a))) )).
% 12.16/12.37 cnf(matrix-170, plain, ( c_Hoare__Mirabelle_Otriple__valid(V_n, V_t, T_a) | ~c_Hoare__Mirabelle_Otriple__valid(c_Suc(V_n), V_t, T_a) )).
% 12.16/12.37 cnf(matrix-171, plain, ( ~class_OrderedGroup_Olordered__ab__group__add(T_a) | ( c_OrderedGroup_Olordered__ab__group__add__class_Opprt(V_a, T_a) != c_HOL_Ozero__class_Ozero(T_a)) | c_lessequals(V_a, c_HOL_Ozero__class_Ozero(T_a), T_a) )).
% 12.16/12.37 cnf(matrix-172, plain, ( ~class_OrderedGroup_Olordered__ab__group__add(T_a) | ( c_OrderedGroup_Olordered__ab__group__add__class_Opprt(V_a, T_a) = c_HOL_Ozero__class_Ozero(T_a)) | ~c_lessequals(V_a, c_HOL_Ozero__class_Ozero(T_a), T_a) )).
% 12.16/12.37 cnf(matrix-173, plain, ( ( c_Set_Oinsert(V_x, c_Set_Oinsert(V_x, V_A, T_a), T_a) = c_Set_Oinsert(V_x, V_A, T_a)) )).
% 12.16/12.37 cnf(matrix-174, plain, ( ( c_Com_Ocom_OLocal(V_loc_H, V_fun_H, V_com_H) != c_Com_Ocom_OAss(V_vname, V_fun)) )).
% 12.16/12.37 cnf(matrix-175, plain, ( hBOOL(hAPP(V_A, V_x)) | ( V_y = V_x) | ~hBOOL(hAPP(c_Set_Oinsert(V_y, V_A, T_a), V_x)) )).
% 12.16/12.37 cnf(matrix-176, plain, ( ( c_Com_Ocom_OCond(V_fun, V_com1, V_com2) != c_Com_Ocom_OWhile(V_fun_H, V_com_H)) )).
% 12.16/12.37 cnf(matrix-177, 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)))) )).
% 12.16/12.37 cnf(matrix-178, plain, ( ( c_Com_Ocom_OCond(V_fun_H, V_com1_H, V_com2_H) != c_Com_Ocom_OLocal(V_loc, V_fun, V_com)) )).
% 12.16/12.37 cnf(matrix-179, 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)))) )).
% 12.16/12.37 cnf(matrix-180, plain, ( c_lessequals(V_B, c_Set_Oinsert(V_a, V_B, T_a), tc_fun(T_a, tc_bool)) )).
% 12.16/12.37 cnf(matrix-181, plain, ( ( c_Com_Ocom_OCond(V_fun_H, V_com1_H, V_com2_H) != c_Com_Ocom_OSemi(V_com1, V_com2)) )).
% 12.16/12.37 cnf(matrix-182, plain, ( ( c_Com_Ocom_OCond(V_fun, V_com1, V_com2) != c_Com_Ocom_OCond(V_fun_H, V_com1_H, V_com2_H)) | ( V_com2 = V_com2_H) )).
% 12.16/12.37 cnf(matrix-183, plain, ( ( c_Com_Ocom_OCond(V_fun, V_com1, V_com2) != c_Com_Ocom_OCond(V_fun_H, V_com1_H, V_com2_H)) | ( V_com1 = V_com1_H) )).
% 12.16/12.37 cnf(matrix-184, plain, ( ( c_Com_Ocom_OCond(V_fun, V_com1, V_com2) != c_Com_Ocom_OCond(V_fun_H, V_com1_H, V_com2_H)) | ( V_fun = V_fun_H) )).
% 12.16/12.37 cnf(matrix-185, 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)) )).
% 12.16/12.37 cnf(matrix-186, 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)) )).
% 12.16/12.37 cnf(matrix-187, 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) )).
% 12.16/12.37 cnf(matrix-188, 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)) )).
% 12.16/12.37 cnf(matrix-189, 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)) )).
% 12.16/12.37 cnf(matrix-190, plain, ( hBOOL(hAPP(hAPP(c_in(T_a), V_x), c_Orderings_Otop__class_Otop(tc_fun(T_a, tc_bool)))) )).
% 12.16/12.37 cnf(matrix-191, plain, ( ( c_Option_Ooption_OSome(V_a_H, T_a) != c_Option_Ooption_ONone(T_a)) )).
% 12.16/12.37 cnf(matrix-192, plain, ( ( c_Option_Ooption_OSome(V_xa, T_a) != c_Option_Ooption_ONone(T_a)) )).
% 12.16/12.37 cnf(matrix-193, plain, ( ( c_Com_Ocom_OCall(V_vname_H, V_pname_H, V_fun_H) != c_Com_Ocom_OCond(V_fun, V_com1, V_com2)) )).
% 12.16/12.37 cnf(matrix-194, plain, ( ( c_Option_Ooption_OSome(V_a, T_a) != c_Option_Ooption_OSome(V_a_H, T_a)) | ( V_a = V_a_H) )).
% 12.16/12.37 cnf(matrix-195, 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) )).
% 12.16/12.37 cnf(matrix-196, 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))) )).
% 12.16/12.37 cnf(matrix-197, plain, ( ( hAPP(c_Fun_Ocomp(V_f, V_g, T_b, T_a, T_c), V_x) = hAPP(V_f, hAPP(V_g, V_x))) )).
% 12.16/12.37 cnf(matrix-198, plain, ( ( hAPP(V_a, hAPP(V_b, V_v)) = hAPP(c_Fun_Ocomp(V_a, V_b, T_c, T_b, T_a), V_v)) )).
% 12.16/12.37 cnf(matrix-199, plain, ( hBOOL(hAPP(hAPP(c_in(T_a), V_a), V_A)) | ~hBOOL(hAPP(hAPP(c_in(T_b), hAPP(V_f, V_a)), c_Set_Oimage(V_f, V_A, T_a, T_b))) | ~c_Fun_Oinj__on(V_f, c_Orderings_Otop__class_Otop(tc_fun(T_a, tc_bool)), T_a, T_b) )).
% 12.16/12.37 cnf(matrix-200, plain, ( hBOOL(hAPP(hAPP(c_in(T_b), hAPP(V_f, V_a)), c_Set_Oimage(V_f, V_A, T_a, T_b))) | ~hBOOL(hAPP(hAPP(c_in(T_a), V_a), V_A)) | ~c_Fun_Oinj__on(V_f, c_Orderings_Otop__class_Otop(tc_fun(T_a, tc_bool)), T_a, T_b) )).
% 12.16/12.37 cnf(matrix-201, plain, ( ( c_Suc(V_x) != c_Suc(V_y)) | ( V_x = V_y) )).
% 12.16/12.37 cnf(matrix-202, plain, ( ( c_Suc(V_nat) != c_Suc(V_nat_H)) | ( V_nat = V_nat_H) )).
% 12.16/12.37 cnf(matrix-203, plain, ( ( c_Com_Ocom_OAss(V_vname, V_fun) != c_Com_Ocom_OWhile(V_fun_H, V_com_H)) )).
% 12.16/12.37 cnf(matrix-204, plain, ( ( c_Com_Ocom_OAss(V_vname, V_fun) != c_Com_Ocom_OLocal(V_loc_H, V_fun_H, V_com_H)) )).
% 12.16/12.37 cnf(matrix-205, plain, ( ( hAPP(V_f, V_x) != hAPP(V_f, V_y)) | ~c_Fun_Oinj__on(V_f, c_Orderings_Otop__class_Otop(tc_fun(T_a, tc_bool)), T_a, T_b) | ( V_x = V_y) )).
% 12.16/12.37 cnf(matrix-206, plain, ( ( hAPP(c_Fun_Ofcomp(v_f, v_g, t_a, t_b, t_c), v_x) = hAPP(v_g, hAPP(v_f, v_x))) )).
% 12.16/12.37 cnf(matrix-207, plain, ( c_Com_OWT(c_Com_Ocom_OCond(V_b, V_c0, V_c1)) | ~c_Com_OWT(V_c1) | ~c_Com_OWT(V_c0) )).
% 12.16/12.37 cnf(matrix-208, plain, ( ( c_Com_Ocom_Ocom__case(V_f1, V_f2, V_f3, V_f4, V_f5, V_f6, V_f7, V_f8, c_Com_Ocom_OSKIP, T_a) = V_f1) )).
% 12.16/12.37 cnf(matrix-209, plain, ( ( c_Com_Ocom_OLocal(V_loc, V_fun, V_com) != c_Com_Ocom_OWhile(V_fun_H, V_com_H)) )).
% 12.16/12.37 cnf(matrix-210, 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))) )).
% 12.16/12.37 cnf(matrix-211, plain, ( ( c_Set_Oimage(V_f, V_A, T_a, T_b) != c_Set_Oimage(V_f, V_B, T_a, T_b)) | ~c_Fun_Oinj__on(V_f, c_Orderings_Otop__class_Otop(tc_fun(T_a, tc_bool)), T_a, T_b) | ( V_A = V_B) )).
% 12.16/12.37 cnf(matrix-212, plain, ( ( c_Com_Ocom_OAss(V_vname, V_fun) != c_Com_Ocom_OCond(V_fun_H, V_com1_H, V_com2_H)) )).
% 12.16/12.37 cnf(matrix-213, plain, ( c_Hoare__Mirabelle_Ohoare__derivs(V_G, c_Set_Oinsert(hAPP(hAPP(hAPP(c_Hoare__Mirabelle_Otriple_Otriple(T_a), V_P), c_Com_Ocom_OSemi(V_c, V_d)), V_R), c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(T_a), tc_bool)), tc_Hoare__Mirabelle_Otriple(T_a)), T_a) | ~c_Hoare__Mirabelle_Ohoare__derivs(V_G, c_Set_Oinsert(hAPP(hAPP(hAPP(c_Hoare__Mirabelle_Otriple_Otriple(T_a), V_Q), V_d), V_R), c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(T_a), tc_bool)), tc_Hoare__Mirabelle_Otriple(T_a)), T_a) | ~c_Hoare__Mirabelle_Ohoare__derivs(V_G, c_Set_Oinsert(hAPP(hAPP(hAPP(c_Hoare__Mirabelle_Otriple_Otriple(T_a), V_P), V_c), V_Q), c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(T_a), tc_bool)), tc_Hoare__Mirabelle_Otriple(T_a)), T_a) )).
% 12.16/12.37 cnf(matrix-214, plain, ( ( c_Com_Ocom_OSKIP != c_Com_Ocom_OWhile(V_fun_H, V_com_H)) )).
% 12.16/12.37 cnf(matrix-215, plain, ( ~hBOOL(hAPP(c_Orderings_Obot__class_Obot(tc_fun(T_a, tc_bool)), V_x)) )).
% 12.16/12.37 cnf(matrix-216, plain, ( ( c_Com_Ocom_OSKIP != c_Com_Ocom_OLocal(V_loc_H, V_fun_H, V_com_H)) )).
% 12.16/12.37 cnf(matrix-217, plain, ( ( c_Orderings_Otop__class_Otop(tc_fun(T_a, tc_bool)) != c_Orderings_Obot__class_Obot(tc_fun(T_a, tc_bool))) )).
% 12.16/12.37 cnf(matrix-218, plain, ( c_Natural_Oevaln(V_c, V_s, c_Suc(V_n), V_s_H) | ~c_Natural_Oevaln(V_c, V_s, V_n, V_s_H) )).
% 12.16/12.37 cnf(matrix-219, plain, ( c_lessequals(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)), tc_fun(T_a, tc_bool)) | ~c_lessequals(V_D, V_B, tc_fun(T_a, tc_bool)) | ~c_lessequals(V_A, V_C, tc_fun(T_a, tc_bool)) )).
% 12.16/12.37 cnf(matrix-220, plain, ( hBOOL(hAPP(c_Orderings_Otop__class_Otop(tc_fun(T_a, tc_bool)), V_x)) )).
% 12.16/12.37 cnf(matrix-221, 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), c_Set_Oinsert(V_b, V_A, T_a))) )).
% 12.16/12.37 cnf(matrix-222, plain, ( ~class_Orderings_Otop(T_b) | ( hAPP(c_Orderings_Otop__class_Otop(tc_fun(t_a, T_b)), v_x) = c_Orderings_Otop__class_Otop(T_b)) )).
% 12.16/12.37 cnf(matrix-223, plain, ( c_Natural_Oevaln(V_c2, V_s, V_n, V_t) | hBOOL(hAPP(V_b, V_s)) | ~c_Natural_Oevaln(c_Com_Ocom_OCond(V_b, V_c1, V_c2), V_s, V_n, V_t) )).
% 12.16/12.37 cnf(matrix-224, plain, ( c_lessequals(V_A, V_B, tc_fun(T_a, tc_bool)) | hBOOL(hAPP(hAPP(c_in(T_a), V_x), V_A)) | ~c_lessequals(V_A, c_Set_Oinsert(V_x, V_B, T_a), tc_fun(T_a, tc_bool)) )).
% 12.16/12.37 cnf(matrix-225, plain, ( c_lessequals(V_A, c_Set_Oinsert(V_x, V_B, T_a), tc_fun(T_a, tc_bool)) | ~c_lessequals(V_A, V_B, tc_fun(T_a, tc_bool)) | hBOOL(hAPP(hAPP(c_in(T_a), V_x), V_A)) )).
% 12.16/12.37 cnf(matrix-226, plain, ( c_lessequals(V_A, V_B, tc_fun(T_a, tc_bool)) | ~c_lessequals(V_A, c_Set_Oinsert(V_x, V_B, T_a), tc_fun(T_a, tc_bool)) | hBOOL(hAPP(hAPP(c_in(T_a), V_x), V_A)) )).
% 12.16/12.37 cnf(matrix-227, plain, ( ( c_Set_Oinsert(V_x, V_A, T_a) != c_Set_Oinsert(V_x, V_B, T_a)) | 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) )).
% 12.16/12.37 cnf(matrix-228, plain, ( c_lessequals(c_Set_Ovimage(V_f, V_A, T_b, T_a), c_Set_Ovimage(V_f, V_B, T_b, T_a), tc_fun(T_b, tc_bool)) | ~c_lessequals(V_A, V_B, tc_fun(T_a, tc_bool)) )).
% 12.16/12.37 cnf(matrix-229, plain, ( ( c_Fun_Ocomp(V_a, V_b, T_c, T_b, T_a) != c_Fun_Ocomp(c_Fun_Oid(T_b), V_c, T_b, T_b, T_a)) | ( hAPP(V_a, hAPP(V_b, V_v)) = hAPP(V_c, V_v)) )).
% 12.16/12.37 cnf(matrix-230, 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)) )).
% 12.16/12.37 cnf(matrix-231, plain, ( ( c_Set_Ovimage(c_Fun_Oid(T_a), V_A, T_a, T_a) = V_A) )).
% 12.16/12.37 cnf(matrix-232, plain, ( ( c_Com_Ocom_Ocom__case(V_f1, V_f2, V_f3, V_f4, V_f5, V_f6, V_f7, V_f8, c_Com_Ocom_OSemi(V_com1, V_com2), T_a) = hAPP(hAPP(V_f4, V_com1), V_com2)) )).
% 12.16/12.37 cnf(matrix-233, plain, ( ( c_Com_Ocom_OLocal(V_loc, V_fun, V_com) != c_Com_Ocom_OSemi(V_com1_H, V_com2_H)) )).
% 12.16/12.37 cnf(matrix-234, plain, ( ( c_Set_Ovimage(c_Fun_Ocomp(V_g, V_f, T_c, T_b, T_a), V_x, T_a, T_b) = c_Set_Ovimage(V_f, c_Set_Ovimage(V_g, V_x, T_c, T_b), T_a, T_c)) )).
% 12.16/12.37 cnf(matrix-235, 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)) )).
% 12.16/12.37 cnf(matrix-236, 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)) )).
% 12.16/12.37 cnf(matrix-237, 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)) )).
% 12.16/12.37 cnf(matrix-238, 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))) )).
% 12.16/12.37 cnf(matrix-239, 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))) )).
% 12.16/12.37 cnf(matrix-240, plain, ( ( c_Com_Ocom_OWhile(V_fun, V_com) != c_Com_Ocom_OWhile(V_fun_H, V_com_H)) | ( V_fun = V_fun_H) )).
% 12.16/12.37 cnf(matrix-241, plain, ( ( c_Com_Ocom_OWhile(V_fun, V_com) != c_Com_Ocom_OWhile(V_fun_H, V_com_H)) | ( V_com = V_com_H) )).
% 12.16/12.37 cnf(matrix-242, plain, ( c_Com_OWT(c_Com_Ocom_OWhile(V_b, V_c)) | ~c_Com_OWT(V_c) )).
% 12.16/12.37 cnf(matrix-243, plain, ( c_Com_OWT(V_c) | ~c_Com_OWT(c_Com_Ocom_OWhile(V_b, V_c)) )).
% 12.16/12.37 cnf(matrix-244, plain, ( ( c_Com_Ocom_Ocom__rec(V_f1, V_f2, V_f3, V_f4, V_f5, V_f6, V_f7, V_f8, c_Com_Ocom_OCall(V_vname, V_pname, V_fun), T_a) = hAPP(hAPP(hAPP(V_f8, V_vname), V_pname), V_fun)) )).
% 12.16/12.37 cnf(matrix-245, plain, ( ( c_Set_Oinsert(V_a, V_A, T_a) = V_A) | ~hBOOL(hAPP(hAPP(c_in(T_a), V_a), V_A)) )).
% 12.16/12.37 cnf(matrix-246, plain, ( ( c_Set_Oinsert(V_a, V_A, T_a) = c_Lattices_Oupper__semilattice__class_Osup(c_Set_Oinsert(V_a, c_Orderings_Obot__class_Obot(tc_fun(T_a, tc_bool)), T_a), V_A, tc_fun(T_a, tc_bool))) )).
% 12.16/12.37 cnf(matrix-247, plain, ( c_Fun_Oinj__on(c_Fun_Ocomp(V_g, V_f, T_b, T_c, T_a), V_A, T_a, T_c) | ~c_Fun_Oinj__on(V_g, c_Set_Oimage(V_f, V_A, T_a, T_b), T_b, T_c) | ~c_Fun_Oinj__on(V_f, V_A, T_a, T_b) )).
% 12.16/12.37 cnf(matrix-248, plain, ( c_Com_OWT(c_Com_Ocom_OLocal(V_Y, V_a, V_c)) | ~c_Com_OWT(V_c) )).
% 12.16/12.37 cnf(matrix-249, plain, ( c_Com_OWT(V_c) | ~c_Com_OWT(c_Com_Ocom_OLocal(V_Y, V_a, V_c)) )).
% 12.16/12.37 cnf(matrix-250, plain, ( ~class_OrderedGroup_Olordered__ab__group__add(T_a) | c_lessequals(c_HOL_Ozero__class_Ozero(T_a), c_OrderedGroup_Olordered__ab__group__add__class_Opprt(V_a, T_a), T_a) )).
% 12.16/12.37 cnf(matrix-251, plain, ( ( c_Com_Ocom_OCond(V_fun_H, V_com1_H, V_com2_H) != c_Com_Ocom_OSKIP) )).
% 12.16/12.37 cnf(matrix-252, plain, ( ( c_Com_Ocom_OWhile(V_fun_H, V_com_H) != c_Com_Ocom_OCond(V_fun, V_com1, V_com2)) )).
% 12.16/12.37 cnf(matrix-253, plain, ( ( c_Com_Ocom_OSemi(V_com1, V_com2) != c_Com_Ocom_OCall(V_vname_H, V_pname_H, V_fun_H)) )).
% 12.16/12.37 cnf(matrix-254, plain, ( ( V_n = c_Suc(c_Natural_Osko__Natural__Xevaln__elim__cases__6__1(V_P, V_n, V_s, V_s1))) | ~c_Natural_Oevaln(hAPP(c_Com_Ocom_OBODY, V_P), V_s, V_n, V_s1) )).
% 12.16/12.37 cnf(matrix-255, plain, ( ~hBOOL(hAPP(hAPP(c_in(T_b), hAPP(V_f, V_a)), c_Set_Oimage(V_f, c_HOL_Ominus__class_Ominus(V_A, c_Set_Oinsert(V_a, c_Orderings_Obot__class_Obot(tc_fun(T_a, tc_bool)), T_a), tc_fun(T_a, tc_bool)), T_a, T_b))) | ~c_Fun_Oinj__on(V_f, c_Set_Oinsert(V_a, V_A, T_a), T_a, T_b) )).
% 12.16/12.37 cnf(matrix-256, plain, ( ( c_Com_Ocom_Ocom__rec(V_f1, V_f2, V_f3, V_f4, V_f5, V_f6, V_f7, V_f8, c_Com_Ocom_OAss(V_vname, V_fun), T_a) = hAPP(hAPP(V_f2, V_vname), V_fun)) )).
% 12.16/12.37 cnf(matrix-257, plain, ( ( c_Com_Ocom_OCond(V_fun_H, V_com1_H, V_com2_H) != c_Com_Ocom_OAss(V_vname, V_fun)) )).
% 12.16/12.37 cnf(matrix-258, plain, ( ( c_HOL_Ominus__class_Ominus(c_Set_Oinsert(V_x, V_A, T_a), V_B, tc_fun(T_a, tc_bool)) = c_Set_Oinsert(V_x, c_HOL_Ominus__class_Ominus(V_A, V_B, tc_fun(T_a, tc_bool)), T_a)) | hBOOL(hAPP(hAPP(c_in(T_a), V_x), V_B)) )).
% 12.16/12.37 cnf(matrix-259, plain, ( c_lessequals(V_A, c_Set_Oinsert(V_x, V_B, T_a), tc_fun(T_a, tc_bool)) | ~c_lessequals(V_A, V_B, tc_fun(T_a, tc_bool)) | ~c_lessequals(c_HOL_Ominus__class_Ominus(V_A, c_Set_Oinsert(V_x, c_Orderings_Obot__class_Obot(tc_fun(T_a, tc_bool)), T_a), tc_fun(T_a, tc_bool)), V_B, tc_fun(T_a, tc_bool)) )).
% 12.16/12.37 cnf(matrix-260, plain, ( ( c_Com_Ocom_Ocom__rec(V_f1, V_f2, V_f3, V_f4, V_f5, V_f6, V_f7, V_f8, c_Com_Ocom_OWhile(V_fun, V_com), T_a) = hAPP(hAPP(hAPP(V_f6, V_fun), V_com), c_Com_Ocom_Ocom__rec(V_f1, V_f2, V_f3, V_f4, V_f5, V_f6, V_f7, V_f8, V_com, T_a))) )).
% 12.16/12.37 cnf(matrix-261, plain, ( c_lessequals(c_Set_Ovimage(V_f, V_B, T_a, T_b), V_A, tc_fun(T_a, tc_bool)) | ~c_lessequals(V_B, c_Set_Oimage(V_f, V_A, T_a, T_b), tc_fun(T_b, tc_bool)) | ~c_Fun_Oinj__on(V_f, c_Orderings_Otop__class_Otop(tc_fun(T_a, tc_bool)), T_a, T_b) )).
% 12.16/12.37 cnf(matrix-262, plain, ( ( V_t = V_s) | ~c_Natural_Oevaln(c_Com_Ocom_OSKIP, V_s, V_n, V_t) )).
% 12.16/12.37 cnf(matrix-263, plain, ( ( c_HOL_Ominus__class_Ominus(c_Set_Oinsert(V_x, V_A, T_a), c_Set_Oinsert(V_x, c_Orderings_Obot__class_Obot(tc_fun(T_a, tc_bool)), T_a), tc_fun(T_a, tc_bool)) = V_A) | hBOOL(hAPP(hAPP(c_in(T_a), V_x), V_A)) )).
% 12.16/12.37 cnf(matrix-264, plain, ( ( hAPP(c_Fun_Oid(T_a), V_x) = V_x) )).
% 12.16/12.37 cnf(matrix-265, plain, ( c_lessequals(c_HOL_Ominus__class_Ominus(V_A, V_B, tc_fun(T_a, tc_bool)), V_C, tc_fun(T_a, tc_bool)) | ~c_lessequals(V_A, c_Lattices_Oupper__semilattice__class_Osup(V_B, V_C, tc_fun(T_a, tc_bool)), tc_fun(T_a, tc_bool)) )).
% 12.16/12.37 cnf(matrix-266, plain, ( c_lessequals(V_A, c_Lattices_Oupper__semilattice__class_Osup(V_B, V_C, tc_fun(T_a, tc_bool)), tc_fun(T_a, tc_bool)) | ~c_lessequals(c_HOL_Ominus__class_Ominus(V_A, V_B, tc_fun(T_a, tc_bool)), V_C, tc_fun(T_a, tc_bool)) )).
% 12.16/12.37 cnf(matrix-267, plain, ( ( c_Com_Ocom_Ocom__rec(V_f1, V_f2, V_f3, V_f4, V_f5, V_f6, V_f7, V_f8, c_Com_Ocom_OCond(V_fun, V_com1, V_com2), T_a) = hAPP(hAPP(hAPP(hAPP(hAPP(V_f5, V_fun), V_com1), V_com2), c_Com_Ocom_Ocom__rec(V_f1, V_f2, V_f3, V_f4, V_f5, V_f6, V_f7, V_f8, V_com1, T_a)), c_Com_Ocom_Ocom__rec(V_f1, V_f2, V_f3, V_f4, V_f5, V_f6, V_f7, V_f8, V_com2, T_a))) )).
% 12.16/12.37 cnf(matrix-268, plain, ( ~class_HOL_Oord(T_b) | c_lessequals(hAPP(V_f, V_x), hAPP(V_g, V_x), T_b) | ~c_lessequals(V_f, V_g, tc_fun(T_a, T_b)) )).
% 12.16/12.37 cnf(matrix-269, plain, ( ~class_Lattices_Oupper__semilattice(T_a) | c_lessequals(V_a, V_x, T_a) | ~c_lessequals(c_Lattices_Oupper__semilattice__class_Osup(V_a, V_b, T_a), V_x, T_a) )).
% 12.16/12.37 cnf(matrix-270, plain, ( ~class_Lattices_Oupper__semilattice(T_a) | c_lessequals(V_b, V_x, T_a) | ~c_lessequals(c_Lattices_Oupper__semilattice__class_Osup(V_a, V_b, T_a), V_x, T_a) )).
% 12.16/12.37 cnf(matrix-271, plain, ( ~class_Lattices_Oupper__semilattice(T_a) | c_lessequals(V_x, c_Lattices_Oupper__semilattice__class_Osup(V_a, V_b, T_a), T_a) | ~c_lessequals(V_x, V_a, T_a) )).
% 12.16/12.37 cnf(matrix-272, plain, ( ~class_Lattices_Oupper__semilattice(T_a) | c_lessequals(V_x, c_Lattices_Oupper__semilattice__class_Osup(V_a, V_b, T_a), T_a) | ~c_lessequals(V_x, V_b, T_a) )).
% 12.16/12.37 cnf(matrix-273, plain, ( ~class_Lattices_Oupper__semilattice(T_a) | c_lessequals(V_x, V_z, T_a) | ~c_lessequals(c_Lattices_Oupper__semilattice__class_Osup(V_x, V_y, T_a), V_z, T_a) )).
% 12.16/12.37 cnf(matrix-274, plain, ( ~class_Lattices_Oupper__semilattice(T_a) | c_lessequals(V_y, V_z, T_a) | ~c_lessequals(c_Lattices_Oupper__semilattice__class_Osup(V_x, V_y, T_a), V_z, T_a) )).
% 12.16/12.37 cnf(matrix-275, plain, ( ~class_Lattices_Oupper__semilattice(T_a) | ( c_Lattices_Oupper__semilattice__class_Osup(V_x, V_y, T_a) = V_y) | ~c_lessequals(V_x, V_y, T_a) )).
% 12.16/12.37 cnf(matrix-276, plain, ( ~class_Lattices_Oupper__semilattice(T_a) | ( c_Lattices_Oupper__semilattice__class_Osup(V_x, V_y, T_a) != V_y) | c_lessequals(V_x, V_y, T_a) )).
% 12.16/12.37 cnf(matrix-277, plain, ( ~class_Lattices_Oupper__semilattice(T_a) | ( c_Lattices_Oupper__semilattice__class_Osup(V_x, V_y, T_a) = V_x) | ~c_lessequals(V_y, V_x, T_a) )).
% 12.16/12.37 cnf(matrix-278, plain, ( ~class_Lattices_Obounded__lattice(T_a) | ( c_Lattices_Oupper__semilattice__class_Osup(c_Orderings_Obot__class_Obot(T_a), V_x, T_a) = V_x) )).
% 12.16/12.37 cnf(matrix-279, plain, ( ~class_Lattices_Obounded__lattice(T_a) | ( c_Lattices_Oupper__semilattice__class_Osup(V_x, c_Orderings_Obot__class_Obot(T_a), T_a) = V_x) )).
% 12.16/12.37 cnf(matrix-280, plain, ( ~class_Lattices_Obounded__lattice(T_a) | ( c_Lattices_Oupper__semilattice__class_Osup(c_Orderings_Otop__class_Otop(T_a), V_x, T_a) = c_Orderings_Otop__class_Otop(T_a)) )).
% 12.16/12.37 cnf(matrix-281, plain, ( ~class_Lattices_Obounded__lattice(T_a) | ( c_Lattices_Oupper__semilattice__class_Osup(V_x, c_Orderings_Otop__class_Otop(T_a), T_a) = c_Orderings_Otop__class_Otop(T_a)) )).
% 12.16/12.37 cnf(matrix-282, plain, ( ~class_Lattices_Oupper__semilattice(T_a) | c_lessequals(c_Lattices_Oupper__semilattice__class_Osup(V_a, V_b, T_a), V_x, T_a) | ~c_lessequals(V_b, V_x, T_a) | ~c_lessequals(V_a, V_x, T_a) )).
% 12.16/12.37 cnf(matrix-283, plain, ( ~class_Lattices_Oupper__semilattice(T_a) | c_lessequals(V_x, c_Lattices_Oupper__semilattice__class_Osup(V_x, V_y, T_a), T_a) )).
% 12.16/12.37 cnf(matrix-284, plain, ( ~class_Lattices_Oupper__semilattice(T_a) | c_lessequals(V_y, c_Lattices_Oupper__semilattice__class_Osup(V_x, V_y, T_a), T_a) )).
% 12.16/12.37 cnf(matrix-285, plain, ( ~class_Lattices_Oupper__semilattice(T_a) | c_lessequals(c_Lattices_Oupper__semilattice__class_Osup(V_y, V_z, T_a), V_x, T_a) | ~c_lessequals(V_z, V_x, T_a) | ~c_lessequals(V_y, V_x, T_a) )).
% 12.16/12.37 cnf(matrix-286, plain, ( ~class_Lattices_Oupper__semilattice(T_a) | c_lessequals(c_Lattices_Oupper__semilattice__class_Osup(V_x, V_y, T_a), V_z, T_a) | ~c_lessequals(V_y, V_z, T_a) | ~c_lessequals(V_x, V_z, T_a) )).
% 12.16/12.37 cnf(matrix-287, plain, ( ~class_Lattices_Olattice(T_a) | c_lessequals(V_y, c_Lattices_Oupper__semilattice__class_Osup(V_x, V_y, T_a), T_a) )).
% 12.16/12.37 cnf(matrix-288, plain, ( ~class_Lattices_Olattice(T_a) | c_lessequals(V_x, c_Lattices_Oupper__semilattice__class_Osup(V_x, V_y, T_a), T_a) )).
% 12.16/12.37 cnf(matrix-289, plain, ( ~class_Lattices_Obounded__lattice(T_a) | ( c_Lattices_Oupper__semilattice__class_Osup(V_A, V_B, T_a) != c_Orderings_Obot__class_Obot(T_a)) | ( V_A = c_Orderings_Obot__class_Obot(T_a)) )).
% 12.16/12.37 cnf(matrix-290, plain, ( ~class_Lattices_Obounded__lattice(T_a) | ( c_Lattices_Oupper__semilattice__class_Osup(V_A, V_B, T_a) != c_Orderings_Obot__class_Obot(T_a)) | ( V_B = c_Orderings_Obot__class_Obot(T_a)) )).
% 12.16/12.37 cnf(matrix-291, plain, ( ~c_lessequals(V_x, V_A, tc_fun(T_b, tc_bool)) | c_lessequals(c_Set_Oimage(V_f, V_x, T_b, T_a), c_Set_Oimage(V_f, V_A, T_b, T_a), tc_fun(T_a, tc_bool)) )).
% 12.16/12.37 cnf(matrix-292, plain, ( c_lessequals(c_Set_Oimage(V_f, V_A, T_a, T_b), c_Set_Oimage(V_f, V_B, T_a, T_b), tc_fun(T_b, tc_bool)) | ~c_lessequals(V_A, V_B, tc_fun(T_a, tc_bool)) )).
% 12.16/12.37 cnf(matrix-293, plain, ( ( c_Set_Oimage(V_f, V_A, T_b, T_a) != c_Orderings_Obot__class_Obot(tc_fun(T_a, tc_bool))) | ( V_A = c_Orderings_Obot__class_Obot(tc_fun(T_b, tc_bool))) )).
% 12.16/12.37 cnf(matrix-294, plain, ( ( c_Set_Oimage(c_Fun_Ocomp(V_f, V_g, T_c, T_a, T_b), V_r, T_b, T_a) = c_Set_Oimage(V_f, c_Set_Oimage(V_g, V_r, T_b, T_c), T_c, T_a)) )).
% 12.16/12.37 cnf(matrix-295, plain, ( ( c_Set_Oimage(V_f, c_Set_Oinsert(V_a, V_B, T_b), T_b, T_a) = c_Set_Oinsert(hAPP(V_f, V_a), c_Set_Oimage(V_f, V_B, T_b, T_a), T_a)) )).
% 12.16/12.37 cnf(matrix-296, plain, ( ( c_Orderings_Obot__class_Obot(tc_fun(T_a, tc_bool)) != c_Set_Oimage(V_f, V_A, T_b, T_a)) | ( V_A = c_Orderings_Obot__class_Obot(tc_fun(T_b, tc_bool))) )).
% 12.16/12.37 cnf(matrix-297, plain, ( ( c_Set_Oimage(V_f, c_Orderings_Obot__class_Obot(tc_fun(T_b, tc_bool)), T_b, T_a) = c_Orderings_Obot__class_Obot(tc_fun(T_a, tc_bool))) )).
% 12.16/12.37 cnf(matrix-298, plain, ( ( c_Set_Oimage(c_Fun_Oid(T_a), V_Y, T_a, T_a) = V_Y) )).
% 12.16/12.37 cnf(matrix-299, plain, ( ( c_Orderings_Obot__class_Obot(tc_fun(T_a, tc_bool)) = c_Set_Oimage(V_f, c_Orderings_Obot__class_Obot(tc_fun(T_b, tc_bool)), T_b, T_a)) )).
% 12.16/12.37 cnf(matrix-300, plain, ( ~hBOOL(hAPP(hAPP(c_in(T_aa), V_x), V_A)) | hBOOL(hAPP(hAPP(c_in(T_a), hAPP(V_f, V_x)), c_Set_Oimage(V_f, V_A, T_aa, T_a))) )).
% 12.16/12.37 cnf(matrix-301, plain, ( ~hBOOL(hAPP(hAPP(c_in(T_b), V_x), V_A)) | hBOOL(hAPP(hAPP(c_in(T_a), hAPP(V_f, V_x)), c_Set_Oimage(V_f, V_A, T_b, T_a))) )).
% 12.16/12.37 cnf(matrix-302, plain, ( hBOOL(hAPP(hAPP(c_in(T_a), hAPP(V_f, V_x)), c_Set_Oimage(V_f, V_A, T_b, T_a))) | ~hBOOL(hAPP(hAPP(c_in(T_b), V_x), V_A)) )).
% 12.16/12.37 cnf(matrix-303, plain, ( hBOOL(hAPP(hAPP(c_in(T_b), hAPP(V_f, V_x)), c_Set_Oimage(V_f, V_A, T_a, T_b))) | ~hBOOL(hAPP(hAPP(c_in(T_a), V_x), V_A)) )).
% 12.16/12.37 cnf(matrix-304, plain, ( ( c_Lattices_Oupper__semilattice__class_Osup(c_Orderings_Obot__class_Obot(tc_fun(T_a, tc_bool)), c_Orderings_Obot__class_Obot(tc_fun(T_a, tc_bool)), tc_fun(T_a, tc_bool)) = c_Orderings_Obot__class_Obot(tc_fun(T_a, tc_bool))) )).
% 12.16/12.37 cnf(matrix-305, plain, ( c_lessequals(V_B, V_C, tc_fun(T_a, tc_bool)) | ~c_lessequals(c_Lattices_Oupper__semilattice__class_Osup(V_A, V_B, tc_fun(T_a, tc_bool)), V_C, tc_fun(T_a, tc_bool)) )).
% 12.16/12.37 cnf(matrix-306, plain, ( c_lessequals(V_A, V_C, tc_fun(T_a, tc_bool)) | ~c_lessequals(c_Lattices_Oupper__semilattice__class_Osup(V_A, V_B, tc_fun(T_a, tc_bool)), V_C, tc_fun(T_a, tc_bool)) )).
% 12.16/12.37 cnf(matrix-307, plain, ( hBOOL(hAPP(hAPP(c_in(T_a), V_c), c_Lattices_Oupper__semilattice__class_Osup(V_A, V_B, tc_fun(T_a, tc_bool)))) | ~hBOOL(hAPP(hAPP(c_in(T_a), V_c), V_A)) )).
% 12.16/12.37 cnf(matrix-308, plain, ( hBOOL(hAPP(hAPP(c_in(T_a), V_c), c_Lattices_Oupper__semilattice__class_Osup(V_A, V_B, tc_fun(T_a, tc_bool)))) | ~hBOOL(hAPP(hAPP(c_in(T_a), V_c), V_B)) )).
% 12.16/12.37 cnf(matrix-309, plain, ( c_lessequals(c_Lattices_Oupper__semilattice__class_Osup(V_A, V_B, tc_fun(T_a, tc_bool)), c_Lattices_Oupper__semilattice__class_Osup(V_C, V_D, tc_fun(T_a, tc_bool)), tc_fun(T_a, tc_bool)) | ~c_lessequals(V_B, V_D, tc_fun(T_a, tc_bool)) | ~c_lessequals(V_A, V_C, tc_fun(T_a, tc_bool)) )).
% 12.16/12.37 cnf(matrix-310, plain, ( ( c_Lattices_Oupper__semilattice__class_Osup(V_A, V_B, tc_fun(T_a, tc_bool)) != V_B) | c_lessequals(V_A, V_B, tc_fun(T_a, tc_bool)) )).
% 12.16/12.37 cnf(matrix-311, plain, ( ( c_Lattices_Oupper__semilattice__class_Osup(V_A, V_B, tc_fun(T_a, tc_bool)) = V_A) | ~c_lessequals(V_B, V_A, tc_fun(T_a, tc_bool)) )).
% 12.16/12.37 cnf(matrix-312, plain, ( ( c_Lattices_Oupper__semilattice__class_Osup(V_A, V_B, tc_fun(T_a, tc_bool)) = V_B) | ~c_lessequals(V_A, V_B, tc_fun(T_a, tc_bool)) )).
% 12.16/12.37 cnf(matrix-313, plain, ( ( c_Lattices_Oupper__semilattice__class_Osup(V_A, c_Orderings_Obot__class_Obot(tc_fun(T_a, tc_bool)), tc_fun(T_a, tc_bool)) = V_A) )).
% 12.16/12.37 cnf(matrix-314, plain, ( ( c_Lattices_Oupper__semilattice__class_Osup(c_Orderings_Obot__class_Obot(tc_fun(T_a, tc_bool)), V_B, tc_fun(T_a, tc_bool)) = V_B) )).
% 12.16/12.37 cnf(matrix-315, 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), c_Lattices_Oupper__semilattice__class_Osup(V_A, V_B, tc_fun(T_a, tc_bool)))) )).
% 12.16/12.37 cnf(matrix-316, plain, ( ( c_Lattices_Oupper__semilattice__class_Osup(V_A, c_Orderings_Otop__class_Otop(tc_fun(T_a, tc_bool)), tc_fun(T_a, tc_bool)) = c_Orderings_Otop__class_Otop(tc_fun(T_a, tc_bool))) )).
% 12.16/12.37 cnf(matrix-317, plain, ( ( c_Lattices_Oupper__semilattice__class_Osup(c_Orderings_Otop__class_Otop(tc_fun(T_a, tc_bool)), V_B, tc_fun(T_a, tc_bool)) = c_Orderings_Otop__class_Otop(tc_fun(T_a, tc_bool))) )).
% 12.16/12.37 cnf(matrix-318, plain, ( ( c_Lattices_Oupper__semilattice__class_Osup(V_A, c_Set_Oinsert(V_a, V_B, T_a), tc_fun(T_a, tc_bool)) = c_Set_Oinsert(V_a, c_Lattices_Oupper__semilattice__class_Osup(V_A, V_B, tc_fun(T_a, tc_bool)), T_a)) )).
% 12.16/12.37 cnf(matrix-319, plain, ( ( c_Lattices_Oupper__semilattice__class_Osup(c_Set_Oinsert(V_a, V_B, T_a), V_C, tc_fun(T_a, tc_bool)) = c_Set_Oinsert(V_a, c_Lattices_Oupper__semilattice__class_Osup(V_B, V_C, tc_fun(T_a, tc_bool)), T_a)) )).
% 12.16/12.37 cnf(matrix-320, plain, ( c_lessequals(c_Lattices_Oupper__semilattice__class_Osup(V_A, V_B, tc_fun(T_a, tc_bool)), V_C, tc_fun(T_a, tc_bool)) | ~c_lessequals(V_B, V_C, tc_fun(T_a, tc_bool)) | ~c_lessequals(V_A, V_C, tc_fun(T_a, tc_bool)) )).
% 12.16/12.37 cnf(matrix-321, plain, ( c_lessequals(V_B, c_Lattices_Oupper__semilattice__class_Osup(V_A, V_B, tc_fun(T_a, tc_bool)), tc_fun(T_a, tc_bool)) )).
% 12.16/12.37 cnf(matrix-322, plain, ( c_lessequals(V_A, c_Lattices_Oupper__semilattice__class_Osup(V_A, V_B, tc_fun(T_a, tc_bool)), tc_fun(T_a, tc_bool)) )).
% 12.16/12.37 cnf(matrix-323, plain, ( c_lessequals(c_Lattices_Oupper__semilattice__class_Osup(V_A, V_B, tc_fun(T_a, tc_bool)), V_C, tc_fun(T_a, tc_bool)) | ~c_lessequals(V_B, V_C, tc_fun(T_a, tc_bool)) | ~c_lessequals(V_A, V_C, tc_fun(T_a, tc_bool)) )).
% 12.16/12.37 cnf(matrix-324, plain, ( c_Natural_Oevaln(c_Com_Ocom_OCond(V_b, V_c0, V_c1), V_s, V_n, V_s1) | ~c_Natural_Oevaln(V_c1, V_s, V_n, V_s1) | hBOOL(hAPP(V_b, V_s)) )).
% 12.16/12.37 cnf(matrix-325, plain, ( c_lessequals(V_R, V_S, tc_fun(T_a, tc_bool)) | ~c_lessequals(c_COMBC(c_in(T_a), V_R, T_a, tc_fun(T_a, tc_bool), tc_bool), c_COMBC(c_in(T_a), V_S, T_a, tc_fun(T_a, tc_bool), tc_bool), tc_fun(T_a, tc_bool)) )).
% 12.16/12.37 cnf(matrix-326, plain, ( c_lessequals(c_COMBC(c_in(T_a), V_R, T_a, tc_fun(T_a, tc_bool), tc_bool), c_COMBC(c_in(T_a), V_S, T_a, tc_fun(T_a, tc_bool), tc_bool), tc_fun(T_a, tc_bool)) | ~c_lessequals(V_R, V_S, tc_fun(T_a, tc_bool)) )).
% 12.16/12.37 cnf(matrix-327, plain, ( ( c_Com_Ocom_OWhile(V_fun, V_com) != c_Com_Ocom_OCall(V_vname_H, V_pname_H, V_fun_H)) )).
% 12.16/12.37 cnf(matrix-328, plain, ( ( c_Com_Ocom_OSemi(V_com1_H, V_com2_H) != c_Com_Ocom_OAss(V_vname, V_fun)) )).
% 12.16/12.37 cnf(matrix-329, plain, ( ( V_A = V_B) | ~c_lessequals(V_B, V_A, tc_fun(T_a, tc_bool)) | ~c_lessequals(V_A, V_B, tc_fun(T_a, tc_bool)) )).
% 12.16/12.37 cnf(matrix-330, plain, ( ( V_A = V_B) | ~c_lessequals(V_B, V_A, tc_fun(T_a, tc_bool)) | ~c_lessequals(V_A, V_B, tc_fun(T_a, tc_bool)) )).
% 12.16/12.37 cnf(matrix-331, plain, ( ~class_Orderings_Oorder(T_a) | ( V_x = V_y) | ~c_lessequals(V_y, V_x, T_a) | ~c_lessequals(V_x, V_y, T_a) )).
% 12.16/12.37 cnf(matrix-332, plain, ( ~class_Orderings_Oorder(T_a) | ( V_x = V_y) | ~c_lessequals(V_y, V_x, T_a) | ~c_lessequals(V_x, V_y, T_a) )).
% 12.16/12.37 cnf(matrix-333, plain, ( ~class_Orderings_Oorder(T_a) | ( V_x = V_y) | ~c_lessequals(V_x, V_y, T_a) | ~c_lessequals(V_y, V_x, T_a) )).
% 12.16/12.37 cnf(matrix-334, plain, ( ~class_OrderedGroup_Opordered__ab__group__add(T_a) | c_lessequals(V_a, V_b, T_a) | ~c_lessequals(c_HOL_Ominus__class_Ominus(V_a, V_b, T_a), c_HOL_Ozero__class_Ozero(T_a), T_a) )).
% 12.16/12.37 cnf(matrix-335, plain, ( ~class_OrderedGroup_Opordered__ab__group__add(T_a) | c_lessequals(c_HOL_Ominus__class_Ominus(V_a, V_b, T_a), c_HOL_Ozero__class_Ozero(T_a), T_a) | ~c_lessequals(V_a, V_b, T_a) )).
% 12.16/12.37 cnf(matrix-336, plain, ( ( c_Com_Ocom_OLocal(V_loc_H, V_fun_H, V_com_H) != c_Com_Ocom_OSKIP) )).
% 12.16/12.37 cnf(matrix-337, plain, ( c_Natural_Oevaln(c_Com_Ocom_OSKIP, V_s, V_n, V_s) )).
% 12.16/12.37 cnf(matrix-338, plain, ( ( c_Suc(V_nat_H) != c_HOL_Ozero__class_Ozero(tc_nat)) )).
% 12.16/12.37 cnf(matrix-339, plain, ( ( c_Suc(V_m) != c_HOL_Ozero__class_Ozero(tc_nat)) )).
% 12.16/12.37 cnf(matrix-340, plain, ( ( c_Set_Oinsert(V_a, c_Set_Oinsert(V_b, c_Orderings_Obot__class_Obot(tc_fun(T_a, tc_bool)), T_a), T_a) != c_Set_Oinsert(V_c, c_Set_Oinsert(V_d, c_Orderings_Obot__class_Obot(tc_fun(T_a, tc_bool)), T_a), T_a)) | ( V_a = V_d) | ( V_a = V_c) )).
% 12.16/12.37 cnf(matrix-341, plain, ( ( c_Set_Oinsert(V_a, c_Set_Oinsert(V_b, c_Orderings_Obot__class_Obot(tc_fun(T_a, tc_bool)), T_a), T_a) != c_Set_Oinsert(V_c, c_Set_Oinsert(V_d, c_Orderings_Obot__class_Obot(tc_fun(T_a, tc_bool)), T_a), T_a)) | ( V_b = V_c) | ( V_a = V_c) )).
% 12.16/12.37 cnf(matrix-342, plain, ( ( c_Set_Oinsert(V_a, c_Set_Oinsert(V_b, c_Orderings_Obot__class_Obot(tc_fun(T_a, tc_bool)), T_a), T_a) != c_Set_Oinsert(V_c, c_Set_Oinsert(V_d, c_Orderings_Obot__class_Obot(tc_fun(T_a, tc_bool)), T_a), T_a)) | ( V_a = V_d) | ( V_b = V_d) )).
% 12.16/12.37 cnf(matrix-343, plain, ( ( c_Set_Oinsert(V_a, c_Set_Oinsert(V_b, c_Orderings_Obot__class_Obot(tc_fun(T_a, tc_bool)), T_a), T_a) != c_Set_Oinsert(V_c, c_Set_Oinsert(V_d, c_Orderings_Obot__class_Obot(tc_fun(T_a, tc_bool)), T_a), T_a)) | ( V_b = V_c) | ( V_b = V_d) )).
% 12.16/12.37 cnf(matrix-344, plain, ( hBOOL(hAPP(hAPP(V_Q, V_Z), V_s_H)) | ~c_Natural_Oevaln(V_c, V_s, V_n, V_s_H) | ~hBOOL(hAPP(hAPP(V_P, V_Z), V_s)) | ~c_Hoare__Mirabelle_Otriple__valid(V_n, hAPP(hAPP(hAPP(c_Hoare__Mirabelle_Otriple_Otriple(t_a), V_P), V_c), V_Q), t_a) )).
% 12.16/12.37 cnf(matrix-345, 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)))) )).
% 12.16/12.37 cnf(matrix-346, plain, ( ( c_Com_Ocom_OSKIP != c_Com_Ocom_OAss(V_vname_H, V_fun_H)) )).
% 12.16/12.37 cnf(matrix-347, plain, ( c_Com_OWT(V_c2) | ~c_Com_OWT(c_Com_Ocom_OSemi(V_c1, V_c2)) )).
% 12.16/12.37 cnf(matrix-348, plain, ( c_Com_OWT(V_c1) | ~c_Com_OWT(c_Com_Ocom_OSemi(V_c1, V_c2)) )).
% 12.16/12.37 cnf(matrix-349, plain, ( ( V_A = c_Orderings_Obot__class_Obot(tc_fun(T_a, tc_bool))) | ~c_lessequals(V_A, c_Orderings_Obot__class_Obot(tc_fun(T_a, tc_bool)), tc_fun(T_a, tc_bool)) )).
% 12.16/12.37 cnf(matrix-350, plain, ( c_lessequals(c_Orderings_Obot__class_Obot(tc_fun(T_a, tc_bool)), c_Orderings_Obot__class_Obot(tc_fun(T_a, tc_bool)), tc_fun(T_a, tc_bool)) )).
% 12.16/12.37 cnf(matrix-351, plain, ( ( c_Com_Ocom_OWhile(V_fun_H, V_com_H) != c_Com_Ocom_OAss(V_vname, V_fun)) )).
% 12.16/12.37 cnf(matrix-352, plain, ( ( c_Orderings_Obot__class_Obot(tc_fun(T_a, tc_bool)) != c_Set_Oinsert(V_a, V_A, T_a)) )).
% 12.16/12.37 cnf(matrix-353, plain, ( ( c_Com_Ocom_Ocom__case(V_f1, V_f2, V_f3, V_f4, V_f5, V_f6, V_f7, V_f8, c_Com_Ocom_OLocal(V_loc, V_fun, V_com), T_a) = hAPP(hAPP(hAPP(V_f3, V_loc), V_fun), V_com)) )).
% 12.16/12.37 cnf(matrix-354, plain, ( ( c_Com_Ocom_Ocom__case(V_f1, V_f2, V_f3, V_f4, V_f5, V_f6, V_f7, V_f8, c_Com_Ocom_OWhile(V_fun, V_com), T_a) = hAPP(hAPP(V_f6, V_fun), V_com)) )).
% 12.16/12.37 cnf(matrix-355, plain, ( ~hBOOL(hAPP(hAPP(c_in(T_a), V_a), c_Orderings_Obot__class_Obot(tc_fun(T_a, tc_bool)))) )).
% 12.16/12.37 cnf(matrix-356, plain, ( ~hBOOL(hAPP(hAPP(c_in(T_a), V_c), c_Orderings_Obot__class_Obot(tc_fun(T_a, tc_bool)))) )).
% 12.16/12.37 cnf(matrix-357, 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)))) )).
% 12.16/12.37 cnf(matrix-358, plain, ( ~hBOOL(hAPP(hAPP(c_in(T_a), V_x), c_Orderings_Obot__class_Obot(tc_fun(T_a, tc_bool)))) )).
% 12.16/12.37 cnf(matrix-359, plain, ( ( c_HOL_Ominus__class_Ominus(V_A, c_Orderings_Otop__class_Otop(tc_fun(T_a, tc_bool)), tc_fun(T_a, tc_bool)) = c_Orderings_Obot__class_Obot(tc_fun(T_a, tc_bool))) )).
% 12.16/12.37 cnf(matrix-360, plain, ( ( hAPP(c_Fun_Ofcomp(V_f, V_g, T_b, T_c, T_a), V_x) = hAPP(V_g, hAPP(V_f, V_x))) )).
% 12.16/12.37 cnf(matrix-361, plain, ( ( hAPP(V_f, V_a) = V_b) | ~hBOOL(hAPP(hAPP(c_in(T_a), V_a), c_Set_Ovimage(V_f, c_Set_Oinsert(V_b, c_Orderings_Obot__class_Obot(tc_fun(T_b, tc_bool)), T_b), T_a, T_b))) )).
% 12.16/12.37 cnf(matrix-362, plain, ( c_lessequals(V_A, c_Orderings_Otop__class_Otop(tc_fun(T_a, tc_bool)), tc_fun(T_a, tc_bool)) )).
% 12.16/12.37 cnf(matrix-363, plain, ( ~class_Orderings_Otop(T_a) | c_lessequals(V_x, c_Orderings_Otop__class_Otop(T_a), T_a) )).
% 12.16/12.37 cnf(matrix-364, plain, ( ( c_Fun_Ocomp(V_f, c_Fun_Ocomp(V_g, V_h, T_d, T_c, T_a), T_c, T_b, T_a) = c_Fun_Ocomp(c_Fun_Ocomp(V_f, V_g, T_c, T_b, T_d), V_h, T_d, T_b, T_a)) )).
% 12.16/12.37 cnf(matrix-365, plain, ( ( c_Com_Ocom_OAss(V_vname, V_fun) != c_Com_Ocom_OAss(V_vname_H, V_fun_H)) | ( V_fun = V_fun_H) )).
% 12.16/12.37 cnf(matrix-366, plain, ( ( c_Com_Ocom_OAss(V_vname, V_fun) != c_Com_Ocom_OAss(V_vname_H, V_fun_H)) | ( V_vname = V_vname_H) )).
% 12.16/12.37 cnf(matrix-367, plain, ( ( c_Com_Ocom_OCall(V_vname_H, V_pname_H, V_fun_H) != c_Com_Ocom_OAss(V_vname, V_fun)) )).
% 12.16/12.37 cnf(matrix-368, plain, ( ( c_Com_Ocom_OSemi(V_com1_H, V_com2_H) != c_Com_Ocom_OSKIP) )).
% 12.16/12.37 cnf(matrix-369, plain, ( c_Hoare__Mirabelle_Ohoare__derivs(V_G, c_Set_Oinsert(hAPP(hAPP(hAPP(c_Hoare__Mirabelle_Otriple_Otriple(T_a), V_P), c_Com_Ocom_OSKIP), V_P), c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(T_a), tc_bool)), tc_Hoare__Mirabelle_Otriple(T_a)), T_a) )).
% 12.16/12.37 cnf(matrix-370, plain, ( hBOOL(hAPP(c_Set_Oinsert(V_x, V_A, T_a), V_x)) )).
% 12.16/12.37 cnf(matrix-371, plain, ( c_lessequals(c_Set_Oinsert(V_x, V_A, T_a), V_B, tc_fun(T_a, tc_bool)) | ~c_lessequals(V_A, V_B, tc_fun(T_a, tc_bool)) | ~hBOOL(hAPP(hAPP(c_in(T_a), V_x), V_B)) )).
% 12.16/12.37 cnf(matrix-372, plain, ( ( c_Com_Ocom_OLocal(V_loc, V_fun, V_com) != c_Com_Ocom_OLocal(V_loc_H, V_fun_H, V_com_H)) | ( V_com = V_com_H) )).
% 12.16/12.37 cnf(matrix-373, plain, ( ( c_Com_Ocom_OLocal(V_loc, V_fun, V_com) != c_Com_Ocom_OLocal(V_loc_H, V_fun_H, V_com_H)) | ( V_fun = V_fun_H) )).
% 12.16/12.37 cnf(matrix-374, plain, ( ( c_Com_Ocom_OLocal(V_loc, V_fun, V_com) != c_Com_Ocom_OLocal(V_loc_H, V_fun_H, V_com_H)) | ( V_loc = V_loc_H) )).
% 12.16/12.37 cnf(matrix-375, plain, ( c_Com_OWT(c_Com_Ocom_OSemi(V_c0, V_c1)) | ~c_Com_OWT(V_c1) | ~c_Com_OWT(V_c0) )).
% 12.16/12.37 cnf(matrix-376, plain, ( ( c_Com_Ocom_OSKIP != c_Com_Ocom_OCall(V_vname_H, V_pname_H, V_fun_H)) )).
% 12.16/12.37 cnf(matrix-377, plain, ( ( c_Fun_Ofcomp(V_f, c_Fun_Oid(T_b), T_a, T_b, T_b) = V_f) )).
% 12.16/12.37 cnf(matrix-378, plain, ( ( c_Fun_Ofcomp(c_Fun_Oid(T_a), V_g, T_a, T_a, T_b) = V_g) )).
% 12.16/12.37 cnf(matrix-379, plain, ( ( c_Com_Ocom_OWhile(V_fun_H, V_com_H) != c_Com_Ocom_OSemi(V_com1, V_com2)) )).
% 12.16/12.37 cnf(matrix-380, plain, ( ( c_Suc(V_n) != V_n) )).
% 12.16/12.37 cnf(matrix-381, plain, ( ( V_n != c_Suc(V_n)) )).
% 12.16/12.37 cnf(matrix-382, plain, ( ( c_Set_Oinsert(V_a, c_HOL_Ominus__class_Ominus(V_A, c_Set_Oinsert(V_a, c_Orderings_Obot__class_Obot(tc_fun(T_a, tc_bool)), T_a), tc_fun(T_a, tc_bool)), T_a) = V_A) | ~hBOOL(hAPP(hAPP(c_in(T_a), V_a), V_A)) )).
% 12.16/12.37 cnf(matrix-383, plain, ( ~class_Orderings_Oorder(T_a) | c_lessequals(V_z, V_x, T_a) | ~c_lessequals(V_z, V_y, T_a) | ~c_lessequals(V_y, V_x, T_a) )).
% 12.16/12.37 cnf(matrix-384, plain, ( ~class_Orderings_Opreorder(T_a) | c_lessequals(V_x, V_z, T_a) | ~c_lessequals(V_y, V_z, T_a) | ~c_lessequals(V_x, V_y, T_a) )).
% 12.16/12.37 cnf(matrix-385, plain, ( hBOOL(hAPP(hAPP(c_in(T_a), V_x), V_B)) | ~hBOOL(hAPP(hAPP(c_in(T_a), V_x), V_A)) | ~c_lessequals(V_A, V_B, tc_fun(T_a, tc_bool)) )).
% 12.16/12.37 cnf(matrix-386, plain, ( hBOOL(hAPP(hAPP(c_in(T_a), V_c), V_B)) | ~hBOOL(hAPP(hAPP(c_in(T_a), V_c), V_A)) | ~c_lessequals(V_A, V_B, tc_fun(T_a, tc_bool)) )).
% 12.16/12.37 cnf(matrix-387, plain, ( c_lessequals(V_x, V_x, tc_fun(T_a, tc_bool)) )).
% 12.16/12.37 cnf(matrix-388, plain, ( hBOOL(hAPP(hAPP(c_in(T_a), V_x), V_B)) | ~c_lessequals(V_A, V_B, tc_fun(T_a, tc_bool)) | ~hBOOL(hAPP(hAPP(c_in(T_a), V_x), V_A)) )).
% 12.16/12.37 cnf(matrix-389, plain, ( hBOOL(hAPP(hAPP(c_in(T_a), V_t), V_B)) | ~hBOOL(hAPP(hAPP(c_in(T_a), V_t), V_A)) | ~c_lessequals(V_A, V_B, tc_fun(T_a, tc_bool)) )).
% 12.16/12.37 cnf(matrix-390, plain, ( c_lessequals(V_A, V_A, tc_fun(T_a, tc_bool)) )).
% 12.16/12.37 cnf(matrix-391, plain, ( c_lessequals(V_A, V_C, tc_fun(T_a, tc_bool)) | ~c_lessequals(V_B, V_C, tc_fun(T_a, tc_bool)) | ~c_lessequals(V_A, V_B, tc_fun(T_a, tc_bool)) )).
% 12.16/12.37 cnf(matrix-392, plain, ( c_Fun_Oinj__on(V_f, V_A, T_a, T_b) | ~c_lessequals(V_A, V_B, tc_fun(T_a, tc_bool)) | ~c_Fun_Oinj__on(V_f, V_B, T_a, T_b) )).
% 12.16/12.37 cnf(matrix-393, plain, ( hBOOL(hAPP(V_Q, V_x)) | ~hBOOL(hAPP(V_P, V_x)) | ~c_lessequals(V_P, V_Q, tc_fun(T_a, tc_bool)) )).
% 12.16/12.37 cnf(matrix-394, plain, ( ~class_Orderings_Oorder(T_a) | c_lessequals(V_x, V_x, T_a) )).
% 12.16/12.37 cnf(matrix-395, plain, ( ~class_Orderings_Opreorder(T_a) | c_lessequals(V_x, V_x, T_a) )).
% 12.16/12.37 cnf(matrix-396, plain, ( hBOOL(hAPP(V_Q, V_x)) | ~c_lessequals(V_P, V_Q, tc_fun(T_a, tc_bool)) | ~hBOOL(hAPP(V_P, V_x)) )).
% 12.16/12.37 cnf(matrix-397, plain, ( ( c_Com_Ocom_OCall(V_vname_H, V_pname_H, V_fun_H) != c_Com_Ocom_OSKIP) )).
% 12.16/12.37 cnf(matrix-398, plain, ( hBOOL(hAPP(hAPP(c_in(T_a), V_a), c_Set_Oinsert(V_b, V_B, T_a))) | ~hBOOL(hAPP(hAPP(c_in(T_a), V_a), V_B)) )).
% 12.16/12.37 cnf(matrix-399, plain, ( hBOOL(hAPP(hAPP(c_in(T_a), V_a), c_Set_Oinsert(V_b, V_A, T_a))) | ~hBOOL(hAPP(hAPP(c_in(T_a), V_a), V_A)) )).
% 12.16/12.37 cnf(matrix-400, plain, ( ( c_Set_Oimage(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_Set_Oimage(V_f, V_A, T_a, T_b), c_Set_Oimage(V_f, V_B, T_a, T_b), tc_fun(T_b, tc_bool))) | ~c_lessequals(V_B, V_C, tc_fun(T_a, tc_bool)) | ~c_lessequals(V_A, V_C, tc_fun(T_a, tc_bool)) | ~c_Fun_Oinj__on(V_f, V_C, T_a, T_b) )).
% 12.16/12.37 cnf(matrix-401, plain, ( hBOOL(hAPP(hAPP(c_in(T_a), V_x), c_Set_Oinsert(V_x, c_Orderings_Obot__class_Obot(tc_fun(T_a, tc_bool)), T_a))) )).
% 12.16/12.37 cnf(matrix-402, plain, ( ( c_Com_Ocom_Ocom__case(V_f1, V_f2, V_f3, V_f4, V_f5, V_f6, V_f7, V_f8, c_Com_Ocom_OCond(V_fun, V_com1, V_com2), T_a) = hAPP(hAPP(hAPP(V_f5, V_fun), V_com1), V_com2)) )).
% 12.16/12.37 cnf(matrix-403, plain, ( ( c_Fun_Ocomp(V_a, V_b, T_c, T_b, T_a) != c_Fun_Ocomp(V_c, V_d, T_d, T_b, T_a)) | ( hAPP(V_a, hAPP(V_b, V_v)) = hAPP(V_c, hAPP(V_d, V_v))) )).
% 12.16/12.37 cnf(matrix-404, plain, ( ( hAPP(V_f, hAPP(V_g, V_x)) != hAPP(V_f_H, hAPP(V_g_H, V_x_H))) | ( hAPP(c_Fun_Ocomp(V_f, V_g, T_b, T_a, T_c), V_x) = hAPP(c_Fun_Ocomp(V_f_H, V_g_H, T_d, T_a, T_e), V_x_H)) )).
% 12.16/12.37 cnf(matrix-405, plain, ( ( V_A = c_Set_Oinsert(V_x, c_Orderings_Obot__class_Obot(tc_fun(T_a, tc_bool)), T_a)) | ( V_A = c_Orderings_Obot__class_Obot(tc_fun(T_a, tc_bool))) | ~c_lessequals(V_A, c_Set_Oinsert(V_x, c_Orderings_Obot__class_Obot(tc_fun(T_a, tc_bool)), T_a), tc_fun(T_a, tc_bool)) )).
% 12.16/12.37 cnf(matrix-406, plain, ( ( c_Set_Ovimage(V_f, c_Set_Oinsert(V_a, V_B, T_b), T_a, T_b) = c_Lattices_Oupper__semilattice__class_Osup(c_Set_Ovimage(V_f, c_Set_Oinsert(V_a, c_Orderings_Obot__class_Obot(tc_fun(T_b, tc_bool)), T_b), T_a, T_b), c_Set_Ovimage(V_f, V_B, T_a, T_b), tc_fun(T_a, tc_bool))) )).
% 12.16/12.37 cnf(matrix-407, plain, ( hBOOL(hAPP(V_b, V_s)) | ( V_t = V_s) | ~c_Natural_Oevaln(c_Com_Ocom_OWhile(V_b, V_c), V_s, V_n, V_t) )).
% 12.16/12.37 cnf(matrix-408, 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)) )).
% 12.16/12.37 cnf(matrix-409, 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))) )).
% 12.16/12.37 cnf(matrix-410, plain, ( c_Hoare__Mirabelle_Ohoare__derivs(V_G, c_Set_Oinsert(V_t, V_ts, tc_Hoare__Mirabelle_Otriple(T_a)), T_a) | ~c_Hoare__Mirabelle_Ohoare__derivs(V_G, V_ts, T_a) | ~c_Hoare__Mirabelle_Ohoare__derivs(V_G, c_Set_Oinsert(V_t, c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(T_a), tc_bool)), tc_Hoare__Mirabelle_Otriple(T_a)), T_a) )).
% 12.16/12.37 cnf(matrix-411, 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) | ~c_lessequals(V_B, V_C, tc_fun(T_a, tc_bool)) | ~c_lessequals(V_A, V_B, tc_fun(T_a, tc_bool)) )).
% 12.16/12.37 cnf(matrix-412, 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)) | c_lessequals(V_y_H, V_x_H, T_a) | ~c_lessequals(V_y, V_x, T_a) )).
% 12.16/12.37 cnf(matrix-413, 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)) | c_lessequals(V_y, V_x, T_a) | ~c_lessequals(V_y_H, V_x_H, T_a) )).
% 12.16/12.37 cnf(matrix-414, plain, ( ( c_Com_Ocom_OAss(V_vname_H, V_fun_H) != c_Com_Ocom_OSKIP) )).
% 12.16/12.37 cnf(matrix-415, plain, ( c_lessequals(c_Set_Oinsert(V_a, V_C, T_a), c_Set_Oinsert(V_a, V_D, T_a), tc_fun(T_a, tc_bool)) | ~c_lessequals(V_C, V_D, tc_fun(T_a, tc_bool)) )).
% 12.16/12.37 cnf(matrix-416, plain, ( c_Natural_Oevaln(V_c2, V_s, V_n, V_t) | c_Natural_Oevaln(V_c1, V_s, V_n, V_t) | ~c_Natural_Oevaln(c_Com_Ocom_OCond(V_b, V_c1, V_c2), V_s, V_n, V_t) )).
% 12.16/12.37 cnf(matrix-417, 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))) )).
% 12.16/12.37 cnf(matrix-418, plain, ( ( c_Com_Ocom_OLocal(V_loc, V_fun, V_com) != c_Com_Ocom_OCall(V_vname_H, V_pname_H, V_fun_H)) )).
% 12.16/12.37 cnf(matrix-419, plain, ( c_Com_OWT(V_c2) | ~c_Com_OWT(c_Com_Ocom_OCond(V_b, V_c1, V_c2)) )).
% 12.16/12.37 cnf(matrix-420, plain, ( c_Com_OWT(V_c1) | ~c_Com_OWT(c_Com_Ocom_OCond(V_b, V_c1, V_c2)) )).
% 12.16/12.37 cnf(matrix-421, plain, ( ( c_Fun_Ofcomp(c_Fun_Ofcomp(V_f, V_g, T_a, T_d, T_c), V_h, T_a, T_c, T_b) = c_Fun_Ofcomp(V_f, c_Fun_Ofcomp(V_g, V_h, T_d, T_c, T_b), T_a, T_d, T_b)) )).
% 12.16/12.37 cnf(matrix-422, plain, ( ( c_Com_Ocom_OSKIP != c_Com_Ocom_OSemi(V_com1_H, V_com2_H)) )).
% 12.16/12.37 cnf(matrix-423, plain, ( ~class_Orderings_Olinorder(T_a) | c_lessequals(V_y, V_x, T_a) | c_lessequals(V_x, V_y, T_a) )).
% 12.16/12.37 cnf(matrix-424, plain, ( ( c_Lattices_Oupper__semilattice__class_Osup(V_A, V_B, 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))) )).
% 12.16/12.37 cnf(matrix-425, plain, ( ( c_Lattices_Oupper__semilattice__class_Osup(V_A, V_B, tc_fun(T_a, tc_bool)) != c_Orderings_Obot__class_Obot(tc_fun(T_a, tc_bool))) | ( V_A = c_Orderings_Obot__class_Obot(tc_fun(T_a, tc_bool))) )).
% 12.16/12.37 cnf(matrix-426, plain, ( ( c_Lattices_Oupper__semilattice__class_Osup(c_HOL_Ominus__class_Ominus(V_B, V_A, tc_fun(T_a, tc_bool)), V_A, tc_fun(T_a, tc_bool)) = c_Lattices_Oupper__semilattice__class_Osup(V_B, V_A, tc_fun(T_a, tc_bool))) )).
% 12.16/12.37 cnf(matrix-427, plain, ( ( c_Lattices_Oupper__semilattice__class_Osup(V_A, c_HOL_Ominus__class_Ominus(V_B, V_A, tc_fun(T_a, tc_bool)), tc_fun(T_a, tc_bool)) = c_Lattices_Oupper__semilattice__class_Osup(V_A, V_B, tc_fun(T_a, tc_bool))) )).
% 12.16/12.37 cnf(matrix-428, plain, ( ( c_HOL_Ominus__class_Ominus(c_Lattices_Oupper__semilattice__class_Osup(V_A, V_B, tc_fun(T_a, tc_bool)), V_C, tc_fun(T_a, tc_bool)) = c_Lattices_Oupper__semilattice__class_Osup(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)), tc_fun(T_a, tc_bool))) )).
% 12.16/12.37 cnf(matrix-429, plain, ( ( c_Set_Ovimage(V_f, c_Lattices_Oupper__semilattice__class_Osup(V_A, V_B, tc_fun(T_b, tc_bool)), T_a, T_b) = c_Lattices_Oupper__semilattice__class_Osup(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))) )).
% 12.16/12.37 cnf(matrix-430, plain, ( c_Fun_Oinj__on(V_f, V_B, T_a, T_b) | ~c_Fun_Oinj__on(V_f, c_Lattices_Oupper__semilattice__class_Osup(V_A, V_B, tc_fun(T_a, tc_bool)), T_a, T_b) )).
% 12.16/12.37 cnf(matrix-431, plain, ( c_Fun_Oinj__on(V_f, V_A, T_a, T_b) | ~c_Fun_Oinj__on(V_f, c_Lattices_Oupper__semilattice__class_Osup(V_A, V_B, tc_fun(T_a, tc_bool)), T_a, T_b) )).
% 12.16/12.37 cnf(matrix-432, plain, ( ~class_OrderedGroup_Olordered__ab__group__add(t_a) | ( c_OrderedGroup_Olordered__ab__group__add__class_Opprt(v_x, t_a) = c_Lattices_Oupper__semilattice__class_Osup(v_x, c_HOL_Ozero__class_Ozero(t_a), t_a)) )).
% 12.16/12.37 cnf(matrix-433, plain, ( ( hAPP(c_Lattices_Oupper__semilattice__class_Osup(c_COMBC(c_in(t_a), V_R, t_a, tc_fun(t_a, tc_bool), tc_bool), c_COMBC(c_in(t_a), V_S, t_a, tc_fun(t_a, tc_bool), tc_bool), tc_fun(t_a, tc_bool)), v_x) = hAPP(hAPP(c_in(t_a), v_x), c_Lattices_Oupper__semilattice__class_Osup(V_R, V_S, tc_fun(t_a, tc_bool)))) )).
% 12.16/12.37 cnf(matrix-434, plain, ( ( hAPP(c_Fun_Ocomp(V_f, V_g, T_c, T_b, t_a), v_x) = hAPP(V_f, hAPP(V_g, v_x))) )).
% 12.16/12.37 cnf(matrix-435, plain, ( ( hAPP(c_Fun_Oid(t_a), v_x) = v_x) )).
% 12.16/12.37 cnf(matrix-436, plain, ( ( hAPP(c_Fun_Ofcomp(V_f, V_g, t_a, T_c, T_b), v_x) = hAPP(V_g, hAPP(V_f, v_x))) )).
% 12.16/12.37 cnf(matrix-437, plain, ( ( hAPP(c_Com_Ocom_OBODY, V_pname_H) != c_Com_Ocom_OSKIP) )).
% 12.16/12.37 cnf(matrix-438, plain, ( ( c_Com_Ocom_OWhile(V_fun, V_com) != hAPP(c_Com_Ocom_OBODY, V_pname_H)) )).
% 12.16/12.37 cnf(matrix-439, plain, ( ( c_Com_Ocom_Ocom__rec(V_f1, V_f2, V_f3, V_f4, V_f5, V_f6, V_f7, V_f8, hAPP(c_Com_Ocom_OBODY, V_pname), T_a) = hAPP(V_f7, V_pname)) )).
% 12.16/12.37 cnf(matrix-440, plain, ( ( hAPP(c_Com_Ocom_OBODY, V_pname_H) != c_Com_Ocom_OCond(V_fun, V_com1, V_com2)) )).
% 12.16/12.37 cnf(matrix-441, plain, ( ( c_Com_Ocom_OCond(V_fun, V_com1, V_com2) != hAPP(c_Com_Ocom_OBODY, V_pname_H)) )).
% 12.16/12.37 cnf(matrix-442, plain, ( ( hAPP(c_Com_Ocom_OBODY, V_pname_H) != c_Com_Ocom_OAss(V_vname, V_fun)) )).
% 12.16/12.37 cnf(matrix-443, plain, ( ( c_Com_Ocom_OAss(V_vname, V_fun) != hAPP(c_Com_Ocom_OBODY, V_pname_H)) )).
% 12.16/12.37 cnf(matrix-444, plain, ( ( hAPP(c_Com_Ocom_OBODY, V_pname_H) != c_Com_Ocom_OLocal(V_loc, V_fun, V_com)) )).
% 12.16/12.37 cnf(matrix-445, plain, ( ( hAPP(c_Com_Ocom_OBODY, V_pname_H) != c_Com_Ocom_OWhile(V_fun, V_com)) )).
% 12.16/12.37 cnf(matrix-446, plain, ( ( c_Com_Ocom_OCall(V_vname_H, V_pname_H, V_fun_H) != hAPP(c_Com_Ocom_OBODY, V_pname)) )).
% 12.16/12.37 cnf(matrix-447, plain, ( ( hAPP(c_Com_Ocom_OBODY, V_pname_H) != c_Com_Ocom_OSemi(V_com1, V_com2)) )).
% 12.16/12.37 cnf(matrix-448, plain, ( ( c_Com_Ocom_OSemi(V_com1, V_com2) != hAPP(c_Com_Ocom_OBODY, V_pname_H)) )).
% 12.16/12.37 cnf(matrix-449, plain, ( ( c_Com_Ocom_OLocal(V_loc, V_fun, V_com) != hAPP(c_Com_Ocom_OBODY, V_pname_H)) )).
% 12.16/12.37 cnf(matrix-450, plain, ( ( hAPP(c_Com_Ocom_OBODY, V_pname) != c_Com_Ocom_OCall(V_vname_H, V_pname_H, V_fun_H)) )).
% 12.16/12.37 cnf(matrix-451, plain, ( ( c_Com_Ocom_Ocom__case(V_f1, V_f2, V_f3, V_f4, V_f5, V_f6, V_f7, V_f8, hAPP(c_Com_Ocom_OBODY, V_pname), T_a) = hAPP(V_f7, V_pname)) )).
% 12.16/12.37 cnf(matrix-452, plain, ( ( c_Com_Ocom_OSKIP != hAPP(c_Com_Ocom_OBODY, V_pname_H)) )).
% 12.16/12.37 cnf(matrix-453, plain, ( c_Hoare__Mirabelle_Otriple__valid(c_HOL_Ozero__class_Ozero(tc_nat), hAPP(hAPP(hAPP(c_Hoare__Mirabelle_Otriple_Otriple(T_a), V_P), hAPP(c_Com_Ocom_OBODY, V_pn)), V_Q), T_a) )).
% 12.16/12.37 cnf(matrix-454, plain, ( ~hBOOL(hAPP(V_P, c_Hoare__Mirabelle_Otriple_Otriple__case(V_f1, hAPP(hAPP(hAPP(c_Hoare__Mirabelle_Otriple_Otriple(t_b), V_xa), V_xb), V_xc), t_b, t_a))) | hBOOL(hAPP(V_P, hAPP(hAPP(hAPP(V_f1, V_xa), V_xb), V_xc))) )).
% 12.16/12.37 cnf(matrix-455, plain, ( ~hBOOL(hAPP(V_P, c_Hoare__Mirabelle_Otriple_Otriple__case(V_f1, hAPP(hAPP(hAPP(c_Hoare__Mirabelle_Otriple_Otriple(t_b), V_fun1), V_com), V_fun2), t_b, t_a))) | hBOOL(hAPP(V_P, hAPP(hAPP(hAPP(V_f1, V_fun1), V_com), V_fun2))) )).
% 12.16/12.37 cnf(matrix-456, plain, ( ( c_Hoare__Mirabelle_Otriple_Otriple__rec(V_f1, hAPP(hAPP(hAPP(c_Hoare__Mirabelle_Otriple_Otriple(T_b), V_fun1), V_com), V_fun2), T_b, T_a) = hAPP(hAPP(hAPP(V_f1, V_fun1), V_com), V_fun2)) )).
% 12.16/12.37 cnf(matrix-457, plain, ( ( c_Hoare__Mirabelle_Otriple_Otriple__case(V_f1, hAPP(hAPP(hAPP(c_Hoare__Mirabelle_Otriple_Otriple(T_b), V_fun1), V_com), V_fun2), T_b, T_a) = hAPP(hAPP(hAPP(V_f1, V_fun1), V_com), V_fun2)) )).
% 12.16/12.37 cnf(matrix-458, plain, ( c_Hoare__Mirabelle_Ohoare__derivs(V_G, V_ts, T_a) | ~c_Hoare__Mirabelle_Ohoare__derivs(V_G, c_Set_Oinsert(V_t, V_ts, tc_Hoare__Mirabelle_Otriple(T_a)), T_a) )).
% 12.16/12.37 cnf(matrix-459, plain, ( c_Hoare__Mirabelle_Ohoare__derivs(V_G, V_ts, T_a) | ~c_lessequals(V_ts, V_ts_H, tc_fun(tc_Hoare__Mirabelle_Otriple(T_a), tc_bool)) | ~c_Hoare__Mirabelle_Ohoare__derivs(V_G, V_ts_H, T_a) )).
% 12.16/12.37 cnf(matrix-460, plain, ( c_Hoare__Mirabelle_Ohoare__derivs(V_G, V_ts, T_a) | ~c_lessequals(V_G_H, V_G, tc_fun(tc_Hoare__Mirabelle_Otriple(T_a), tc_bool)) | ~c_Hoare__Mirabelle_Ohoare__derivs(V_G_H, V_ts, T_a) )).
% 12.16/12.37 cnf(matrix-461, 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) )).
% 12.16/12.37 cnf(matrix-462, plain, ( c_Hoare__Mirabelle_Ohoare__valids(V_G, V_ts, T_a) | ~c_Hoare__Mirabelle_Ohoare__derivs(V_G, V_ts, T_a) )).
% 12.16/12.37 cnf(matrix-463, plain, ( c_Hoare__Mirabelle_Ohoare__derivs(V_G, V_ts, T_a) | ~c_lessequals(V_ts, V_G, tc_fun(tc_Hoare__Mirabelle_Otriple(T_a), tc_bool)) )).
% 12.16/12.37 cnf(matrix-464, plain, ( c_Com_OWT(hAPP(c_Com_Ocom_OBODY, V_pn)) | ( hAPP(c_Com_Obody, V_pn) = c_Option_Ooption_ONone(tc_Com_Ocom)) )).
% 12.16/12.37 cnf(matrix-465, plain, ( hBOOL(hAPP(hAPP(hAPP(c_Natural_Oevalc, V_c2), V_s), V_t)) | hBOOL(hAPP(hAPP(hAPP(c_Natural_Oevalc, V_c1), V_s), V_t)) | ~hBOOL(hAPP(hAPP(hAPP(c_Natural_Oevalc, c_Com_Ocom_OCond(V_b, V_c1, V_c2)), V_s), V_t)) )).
% 12.16/12.37 cnf(matrix-466, plain, ( hBOOL(hAPP(V_b, V_s)) | ( V_t = V_s) | ~hBOOL(hAPP(hAPP(hAPP(c_Natural_Oevalc, c_Com_Ocom_OWhile(V_b, V_c)), V_s), V_t)) )).
% 12.16/12.37 cnf(matrix-467, plain, ( hBOOL(hAPP(hAPP(hAPP(c_Natural_Oevalc, c_Com_Ocom_OCond(V_b, V_c0, V_c1)), V_s), V_s1)) | ~hBOOL(hAPP(hAPP(hAPP(c_Natural_Oevalc, V_c1), V_s), V_s1)) | hBOOL(hAPP(V_b, V_s)) )).
% 12.16/12.37 cnf(matrix-468, plain, ( hBOOL(hAPP(hAPP(hAPP(c_Natural_Oevalc, V_c2), V_s), V_t)) | hBOOL(hAPP(V_b, V_s)) | ~hBOOL(hAPP(hAPP(hAPP(c_Natural_Oevalc, c_Com_Ocom_OCond(V_b, V_c1, V_c2)), V_s), V_t)) )).
% 12.16/12.37 cnf(matrix-469, plain, ( hBOOL(hAPP(hAPP(hAPP(c_Natural_Oevalc, c_Com_Ocom_OSKIP), V_s), V_s)) )).
% 12.16/12.37 cnf(matrix-470, plain, ( hBOOL(hAPP(hAPP(hAPP(c_Natural_Oevalc, c_Com_Ocom_OWhile(V_b, V_c)), V_s), V_s)) | hBOOL(hAPP(V_b, V_s)) )).
% 12.16/12.37 cnf(matrix-471, plain, ( hBOOL(hAPP(hAPP(hAPP(c_Natural_Oevalc, c_Com_Ocom_OWhile(V_b, V_c)), V_s0), V_s2)) | ~hBOOL(hAPP(hAPP(hAPP(c_Natural_Oevalc, c_Com_Ocom_OWhile(V_b, V_c)), V_s1), V_s2)) | ~hBOOL(hAPP(hAPP(hAPP(c_Natural_Oevalc, V_c), V_s0), V_s1)) | ~hBOOL(hAPP(V_b, V_s0)) )).
% 12.16/12.37 cnf(matrix-472, plain, ( hBOOL(hAPP(hAPP(hAPP(c_Natural_Oevalc, c_Com_Ocom_OCond(V_b, V_c0, V_c1)), V_s), V_s1)) | ~hBOOL(hAPP(hAPP(hAPP(c_Natural_Oevalc, V_c0), V_s), V_s1)) | ~hBOOL(hAPP(V_b, V_s)) )).
% 12.16/12.37 cnf(matrix-473, plain, ( ~hBOOL(hAPP(V_b, V_s)) | hBOOL(hAPP(hAPP(hAPP(c_Natural_Oevalc, V_c1), V_s), V_t)) | ~hBOOL(hAPP(hAPP(hAPP(c_Natural_Oevalc, c_Com_Ocom_OCond(V_b, V_c1, V_c2)), V_s), V_t)) )).
% 12.16/12.37 cnf(matrix-474, plain, ( hBOOL(hAPP(hAPP(hAPP(c_Natural_Oevalc, c_Com_Ocom_OSemi(V_c0, V_c1)), V_s0), V_s2)) | ~hBOOL(hAPP(hAPP(hAPP(c_Natural_Oevalc, V_c1), V_s1), V_s2)) | ~hBOOL(hAPP(hAPP(hAPP(c_Natural_Oevalc, V_c0), V_s0), V_s1)) )).
% 12.16/12.37 cnf(matrix-475, plain, ( ( V_t = V_s) | ~hBOOL(hAPP(hAPP(hAPP(c_Natural_Oevalc, c_Com_Ocom_OSKIP), V_s), V_t)) )).
% 12.16/12.37 cnf(matrix-476, plain, ( hBOOL(hAPP(hAPP(hAPP(c_Natural_Oevalc, V_c), V_s), V_t)) | ~c_Natural_Oevaln(V_c, V_s, V_n, V_t) )).
% 12.16/12.37 cnf(matrix-477, plain, ( hBOOL(hAPP(hAPP(hAPP(c_Natural_Oevalc, V_c), V_s), V_t)) | ~c_Natural_Oevaln(V_c, V_s, V_x, V_t) )).
% 12.16/12.37 cnf(matrix-478, plain, ( ( hAPP(c_Option_Othe(T_a), c_Option_Ooption_OSome(V_x, T_a)) = V_x) )).
% 12.16/12.37 cnf(matrix-479, plain, ( ( c_Hoare__Mirabelle_OMGT(v_c) = hAPP(hAPP(hAPP(c_Hoare__Mirabelle_Otriple_Otriple(tc_Com_Ostate), c_fequal(tc_Com_Ostate)), v_c), hAPP(c_Natural_Oevalc, v_c))) )).
% 12.16/12.37 cnf(matrix-480, plain, ( ~class_Lattices_Olattice(t_b) | ( hAPP(c_Lattices_Oupper__semilattice__class_Osup(v_f, v_g, tc_fun(t_a, t_b)), v_x) = c_Lattices_Oupper__semilattice__class_Osup(hAPP(v_f, v_x), hAPP(v_g, v_x), t_b)) )).
% 12.16/12.37 cnf(matrix-481, plain, ( c_Hoare__Mirabelle_Ohoare__derivs(V_G, c_Set_Oinsert(c_Hoare__Mirabelle_OMGT(hAPP(c_Com_Ocom_OBODY, V_pn)), c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(tc_Com_Ostate), tc_bool)), tc_Hoare__Mirabelle_Otriple(tc_Com_Ostate)), tc_Com_Ostate) | ~c_Hoare__Mirabelle_Ohoare__derivs(c_Set_Oinsert(c_Hoare__Mirabelle_OMGT(hAPP(c_Com_Ocom_OBODY, V_pn)), V_G, tc_Hoare__Mirabelle_Otriple(tc_Com_Ostate)), c_Set_Oinsert(c_Hoare__Mirabelle_OMGT(hAPP(c_Option_Othe(tc_Com_Ocom), hAPP(c_Com_Obody, V_pn))), c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(tc_Com_Ostate), tc_bool)), tc_Hoare__Mirabelle_Otriple(tc_Com_Ostate)), tc_Com_Ostate) )).
% 12.16/12.37 cnf(matrix-482, plain, ( c_Natural_Oevaln(hAPP(c_Option_Othe(tc_Com_Ocom), hAPP(c_Com_Obody, V_P)), V_s, c_Natural_Osko__Natural__Xevaln__elim__cases__6__1(V_P, V_n, V_s, V_s1), V_s1) | ~c_Natural_Oevaln(hAPP(c_Com_Ocom_OBODY, V_P), V_s, V_n, V_s1) )).
% 12.16/12.37 cnf(matrix-483, plain, ( c_Natural_Oevaln(hAPP(c_Com_Ocom_OBODY, V_pn), V_s0, c_Suc(V_n), V_s1) | ~c_Natural_Oevaln(hAPP(c_Option_Othe(tc_Com_Ocom), hAPP(c_Com_Obody, V_pn)), V_s0, V_n, V_s1) )).
% 12.16/12.37 cnf(matrix-484, plain, ( ( c_Set_Oimage(c_COMBB(V_f, V_g, T_c, T_a, T_b), c_Orderings_Otop__class_Otop(tc_fun(T_b, tc_bool)), T_b, T_a) = c_Set_Oimage(V_f, c_Set_Oimage(V_g, c_Orderings_Otop__class_Otop(tc_fun(T_b, tc_bool)), T_b, T_c), T_c, T_a)) )).
% 12.16/12.37 cnf(matrix-485, plain, ( ( c_Set_Oimage(V_f, V_A, T_a, T_b) != c_Set_Oimage(V_f, V_B, T_a, T_b)) | ~c_Fun_Oinj__on(V_f, c_Lattices_Oupper__semilattice__class_Osup(V_A, V_B, tc_fun(T_a, tc_bool)), T_a, T_b) | ( V_A = V_B) )).
% 12.16/12.37 cnf(matrix-486, plain, ( c_Hoare__Mirabelle_Otriple__valid(c_Suc(V_n), hAPP(hAPP(hAPP(c_Hoare__Mirabelle_Otriple_Otriple(T_a), V_P), hAPP(c_Com_Ocom_OBODY, V_pn)), V_Q), T_a) | ~c_Hoare__Mirabelle_Otriple__valid(V_n, hAPP(hAPP(hAPP(c_Hoare__Mirabelle_Otriple_Otriple(T_a), V_P), hAPP(c_Option_Othe(tc_Com_Ocom), hAPP(c_Com_Obody, V_pn))), V_Q), T_a) )).
% 12.16/12.37 cnf(matrix-487, plain, ( c_Hoare__Mirabelle_Otriple__valid(V_n, hAPP(hAPP(hAPP(c_Hoare__Mirabelle_Otriple_Otriple(T_a), V_P), hAPP(c_Option_Othe(tc_Com_Ocom), hAPP(c_Com_Obody, V_pn))), V_Q), T_a) | ~c_Hoare__Mirabelle_Otriple__valid(c_Suc(V_n), hAPP(hAPP(hAPP(c_Hoare__Mirabelle_Otriple_Otriple(T_a), V_P), hAPP(c_Com_Ocom_OBODY, V_pn)), V_Q), T_a) )).
% 12.16/12.37 cnf(matrix-488, plain, ( c_Hoare__Mirabelle_Ohoare__derivs(V_G, c_Set_Oinsert(hAPP(hAPP(hAPP(c_Hoare__Mirabelle_Otriple_Otriple(T_a), hAPP(V_P, V_pn)), hAPP(c_Com_Ocom_OBODY, V_pn)), hAPP(V_Q, V_pn)), c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(T_a), tc_bool)), tc_Hoare__Mirabelle_Otriple(T_a)), T_a) | ~hBOOL(hAPP(hAPP(c_in(tc_Com_Opname), V_pn), V_Procs)) | ~c_Hoare__Mirabelle_Ohoare__derivs(c_Lattices_Oupper__semilattice__class_Osup(V_G, c_Set_Oimage(c_COMBS(c_COMBS(c_COMBB(c_Hoare__Mirabelle_Otriple_Otriple(T_a), V_P, tc_fun(T_a, tc_fun(tc_Com_Ostate, tc_bool)), tc_fun(tc_Com_Ocom, tc_fun(tc_fun(T_a, tc_fun(tc_Com_Ostate, tc_bool)), tc_Hoare__Mirabelle_Otriple(T_a))), tc_Com_Opname), c_Com_Ocom_OBODY, tc_Com_Opname, tc_Com_Ocom, tc_fun(tc_fun(T_a, tc_fun(tc_Com_Ostate, tc_bool)), tc_Hoare__Mirabelle_Otriple(T_a))), V_Q, tc_Com_Opname, tc_fun(T_a, tc_fun(tc_Com_Ostate, tc_bool)), tc_Hoare__Mirabelle_Otriple(T_a)), V_Procs, tc_Com_Opname, tc_Hoare__Mirabelle_Otriple(T_a)), tc_fun(tc_Hoare__Mirabelle_Otriple(T_a), tc_bool)), c_Set_Oimage(c_COMBS(c_COMBS(c_COMBB(c_Hoare__Mirabelle_Otriple_Otriple(T_a), V_P, tc_fun(T_a, tc_fun(tc_Com_Ostate, tc_bool)), tc_fun(tc_Com_Ocom, tc_fun(tc_fun(T_a, tc_fun(tc_Com_Ostate, tc_bool)), tc_Hoare__Mirabelle_Otriple(T_a))), tc_Com_Opname), c_COMBB(c_Option_Othe(tc_Com_Ocom), c_Com_Obody, tc_Option_Ooption(tc_Com_Ocom), tc_Com_Ocom, tc_Com_Opname), tc_Com_Opname, tc_Com_Ocom, tc_fun(tc_fun(T_a, tc_fun(tc_Com_Ostate, tc_bool)), tc_Hoare__Mirabelle_Otriple(T_a))), V_Q, tc_Com_Opname, tc_fun(T_a, tc_fun(tc_Com_Ostate, tc_bool)), tc_Hoare__Mirabelle_Otriple(T_a)), V_Procs, tc_Com_Opname, tc_Hoare__Mirabelle_Otriple(T_a)), T_a) )).
% 12.16/12.37 cnf(matrix-489, plain, ( ( c_Hoare__Mirabelle_OMGT(V_c) = hAPP(hAPP(hAPP(c_Hoare__Mirabelle_Otriple_Otriple(tc_Com_Ostate), c_fequal(tc_Com_Ostate)), V_c), hAPP(c_Natural_Oevalc, V_c))) )).
% 12.16/12.37 cnf(matrix-490, plain, ( c_Hoare__Mirabelle_Ohoare__derivs(V_G, c_Set_Oinsert(hAPP(hAPP(hAPP(c_Hoare__Mirabelle_Otriple_Otriple(T_a), V_P), hAPP(c_Com_Ocom_OBODY, V_pn)), V_Q), c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(T_a), tc_bool)), tc_Hoare__Mirabelle_Otriple(T_a)), T_a) | ~c_Hoare__Mirabelle_Ohoare__derivs(c_Set_Oinsert(hAPP(hAPP(hAPP(c_Hoare__Mirabelle_Otriple_Otriple(T_a), V_P), hAPP(c_Com_Ocom_OBODY, V_pn)), V_Q), V_G, tc_Hoare__Mirabelle_Otriple(T_a)), c_Set_Oinsert(hAPP(hAPP(hAPP(c_Hoare__Mirabelle_Otriple_Otriple(T_a), V_P), hAPP(c_Option_Othe(tc_Com_Ocom), hAPP(c_Com_Obody, V_pn))), V_Q), c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(T_a), tc_bool)), tc_Hoare__Mirabelle_Otriple(T_a)), T_a) )).
% 12.16/12.37 cnf(matrix-491, plain, ( c_Hoare__Mirabelle_Ohoare__derivs(V_G, c_Set_Oinsert(hAPP(hAPP(hAPP(c_Hoare__Mirabelle_Otriple_Otriple(T_a), V_P), hAPP(c_Com_Ocom_OBODY, V_pn)), V_Q), c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(T_a), tc_bool)), tc_Hoare__Mirabelle_Otriple(T_a)), T_a) | ~c_Hoare__Mirabelle_Ohoare__derivs(V_G, c_Set_Oinsert(hAPP(hAPP(hAPP(c_Hoare__Mirabelle_Otriple_Otriple(T_a), V_P), hAPP(c_Option_Othe(tc_Com_Ocom), hAPP(c_Com_Obody, V_pn))), V_Q), c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(T_a), tc_bool)), tc_Hoare__Mirabelle_Otriple(T_a)), T_a) )).
% 12.16/12.37 cnf(matrix-492, plain, ( c_Hoare__Mirabelle_Ohoare__valids(V_G, c_Set_Oimage(c_COMBS(c_COMBS(c_COMBB(c_Hoare__Mirabelle_Otriple_Otriple(T_a), V_P, tc_fun(T_a, tc_fun(tc_Com_Ostate, tc_bool)), tc_fun(tc_Com_Ocom, tc_fun(tc_fun(T_a, tc_fun(tc_Com_Ostate, tc_bool)), tc_Hoare__Mirabelle_Otriple(T_a))), tc_Com_Opname), c_Com_Ocom_OBODY, tc_Com_Opname, tc_Com_Ocom, tc_fun(tc_fun(T_a, tc_fun(tc_Com_Ostate, tc_bool)), tc_Hoare__Mirabelle_Otriple(T_a))), V_Q, tc_Com_Opname, tc_fun(T_a, tc_fun(tc_Com_Ostate, tc_bool)), tc_Hoare__Mirabelle_Otriple(T_a)), V_Procs, tc_Com_Opname, tc_Hoare__Mirabelle_Otriple(T_a)), T_a) | ~c_Hoare__Mirabelle_Ohoare__valids(c_Lattices_Oupper__semilattice__class_Osup(V_G, c_Set_Oimage(c_COMBS(c_COMBS(c_COMBB(c_Hoare__Mirabelle_Otriple_Otriple(T_a), V_P, tc_fun(T_a, tc_fun(tc_Com_Ostate, tc_bool)), tc_fun(tc_Com_Ocom, tc_fun(tc_fun(T_a, tc_fun(tc_Com_Ostate, tc_bool)), tc_Hoare__Mirabelle_Otriple(T_a))), tc_Com_Opname), c_Com_Ocom_OBODY, tc_Com_Opname, tc_Com_Ocom, tc_fun(tc_fun(T_a, tc_fun(tc_Com_Ostate, tc_bool)), tc_Hoare__Mirabelle_Otriple(T_a))), V_Q, tc_Com_Opname, tc_fun(T_a, tc_fun(tc_Com_Ostate, tc_bool)), tc_Hoare__Mirabelle_Otriple(T_a)), V_Procs, tc_Com_Opname, tc_Hoare__Mirabelle_Otriple(T_a)), tc_fun(tc_Hoare__Mirabelle_Otriple(T_a), tc_bool)), c_Set_Oimage(c_COMBS(c_COMBS(c_COMBB(c_Hoare__Mirabelle_Otriple_Otriple(T_a), V_P, tc_fun(T_a, tc_fun(tc_Com_Ostate, tc_bool)), tc_fun(tc_Com_Ocom, tc_fun(tc_fun(T_a, tc_fun(tc_Com_Ostate, tc_bool)), tc_Hoare__Mirabelle_Otriple(T_a))), tc_Com_Opname), c_COMBB(c_Option_Othe(tc_Com_Ocom), c_Com_Obody, tc_Option_Ooption(tc_Com_Ocom), tc_Com_Ocom, tc_Com_Opname), tc_Com_Opname, tc_Com_Ocom, tc_fun(tc_fun(T_a, tc_fun(tc_Com_Ostate, tc_bool)), tc_Hoare__Mirabelle_Otriple(T_a))), V_Q, tc_Com_Opname, tc_fun(T_a, tc_fun(tc_Com_Ostate, tc_bool)), tc_Hoare__Mirabelle_Otriple(T_a)), V_Procs, tc_Com_Opname, tc_Hoare__Mirabelle_Otriple(T_a)), T_a) )).
% 12.16/12.37 cnf(matrix-493, plain, ( c_Hoare__Mirabelle_Ohoare__derivs(V_G, c_Set_Oimage(c_COMBS(c_COMBS(c_COMBB(c_Hoare__Mirabelle_Otriple_Otriple(T_a), V_P, tc_fun(T_a, tc_fun(tc_Com_Ostate, tc_bool)), tc_fun(tc_Com_Ocom, tc_fun(tc_fun(T_a, tc_fun(tc_Com_Ostate, tc_bool)), tc_Hoare__Mirabelle_Otriple(T_a))), tc_Com_Opname), c_Com_Ocom_OBODY, tc_Com_Opname, tc_Com_Ocom, tc_fun(tc_fun(T_a, tc_fun(tc_Com_Ostate, tc_bool)), tc_Hoare__Mirabelle_Otriple(T_a))), V_Q, tc_Com_Opname, tc_fun(T_a, tc_fun(tc_Com_Ostate, tc_bool)), tc_Hoare__Mirabelle_Otriple(T_a)), V_Procs, tc_Com_Opname, tc_Hoare__Mirabelle_Otriple(T_a)), T_a) | ~c_Hoare__Mirabelle_Ohoare__derivs(c_Lattices_Oupper__semilattice__class_Osup(V_G, c_Set_Oimage(c_COMBS(c_COMBS(c_COMBB(c_Hoare__Mirabelle_Otriple_Otriple(T_a), V_P, tc_fun(T_a, tc_fun(tc_Com_Ostate, tc_bool)), tc_fun(tc_Com_Ocom, tc_fun(tc_fun(T_a, tc_fun(tc_Com_Ostate, tc_bool)), tc_Hoare__Mirabelle_Otriple(T_a))), tc_Com_Opname), c_Com_Ocom_OBODY, tc_Com_Opname, tc_Com_Ocom, tc_fun(tc_fun(T_a, tc_fun(tc_Com_Ostate, tc_bool)), tc_Hoare__Mirabelle_Otriple(T_a))), V_Q, tc_Com_Opname, tc_fun(T_a, tc_fun(tc_Com_Ostate, tc_bool)), tc_Hoare__Mirabelle_Otriple(T_a)), V_Procs, tc_Com_Opname, tc_Hoare__Mirabelle_Otriple(T_a)), tc_fun(tc_Hoare__Mirabelle_Otriple(T_a), tc_bool)), c_Set_Oimage(c_COMBS(c_COMBS(c_COMBB(c_Hoare__Mirabelle_Otriple_Otriple(T_a), V_P, tc_fun(T_a, tc_fun(tc_Com_Ostate, tc_bool)), tc_fun(tc_Com_Ocom, tc_fun(tc_fun(T_a, tc_fun(tc_Com_Ostate, tc_bool)), tc_Hoare__Mirabelle_Otriple(T_a))), tc_Com_Opname), c_COMBB(c_Option_Othe(tc_Com_Ocom), c_Com_Obody, tc_Option_Ooption(tc_Com_Ocom), tc_Com_Ocom, tc_Com_Opname), tc_Com_Opname, tc_Com_Ocom, tc_fun(tc_fun(T_a, tc_fun(tc_Com_Ostate, tc_bool)), tc_Hoare__Mirabelle_Otriple(T_a))), V_Q, tc_Com_Opname, tc_fun(T_a, tc_fun(tc_Com_Ostate, tc_bool)), tc_Hoare__Mirabelle_Otriple(T_a)), V_Procs, tc_Com_Opname, tc_Hoare__Mirabelle_Otriple(T_a)), T_a) )).
% 12.16/12.37 cnf(matrix-494, plain, ( ( c_Set_Oimage(V_f, c_Lattices_Oupper__semilattice__class_Osup(V_A, V_B, tc_fun(T_b, tc_bool)), T_b, T_a) = c_Lattices_Oupper__semilattice__class_Osup(c_Set_Oimage(V_f, V_A, T_b, T_a), c_Set_Oimage(V_f, V_B, T_b, T_a), tc_fun(T_a, tc_bool))) )).
% 12.16/12.37 cnf(matrix-495, plain, ( hBOOL(hAPP(hAPP(hAPP(c_Natural_Oevalc, hAPP(c_Com_Ocom_OBODY, V_pn)), V_s0), V_s1)) | ~hBOOL(hAPP(hAPP(hAPP(c_Natural_Oevalc, hAPP(c_Option_Othe(tc_Com_Ocom), hAPP(c_Com_Obody, V_pn))), V_s0), V_s1)) )).
% 12.16/12.37 cnf(matrix-496, plain, ( hBOOL(hAPP(hAPP(hAPP(c_Natural_Oevalc, hAPP(c_Option_Othe(tc_Com_Ocom), hAPP(c_Com_Obody, V_P))), V_s), V_s1)) | ~hBOOL(hAPP(hAPP(hAPP(c_Natural_Oevalc, hAPP(c_Com_Ocom_OBODY, V_P)), V_s), V_s1)) )).
% 12.16/12.37 cnf(matrix-497, plain, ( ( c_Set_Oimage(V_f, c_Set_Oimage(V_g, V_A, T_c, T_b), T_b, T_a) = c_Set_Oimage(c_COMBB(V_f, V_g, T_b, T_a, T_c), V_A, T_c, T_a)) )).
% 12.16/12.37 cnf(matrix-498, 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) )).
% 12.16/12.37 cnf(matrix-499, plain, ( ( hAPP(hAPP(hAPP(c_Hoare__Mirabelle_Otriple_Otriple(T_a), V_fun1), V_com), V_fun2) != hAPP(hAPP(hAPP(c_Hoare__Mirabelle_Otriple_Otriple(T_a), V_fun1_H), V_com_H), V_fun2_H)) | ( V_fun2 = V_fun2_H) )).
% 12.16/12.37 cnf(matrix-500, plain, ( ( hAPP(hAPP(hAPP(c_Hoare__Mirabelle_Otriple_Otriple(T_a), V_fun1), V_com), V_fun2) != hAPP(hAPP(hAPP(c_Hoare__Mirabelle_Otriple_Otriple(T_a), V_fun1_H), V_com_H), V_fun2_H)) | ( V_com = V_com_H) )).
% 12.16/12.37 cnf(matrix-501, plain, ( ( hAPP(hAPP(hAPP(c_Hoare__Mirabelle_Otriple_Otriple(T_a), V_fun1), V_com), V_fun2) != hAPP(hAPP(hAPP(c_Hoare__Mirabelle_Otriple_Otriple(T_a), V_fun1_H), V_com_H), V_fun2_H)) | ( V_fun1 = V_fun1_H) )).
% 12.16/12.37 cnf(matrix-502, plain, ( ( V_u = V_t) | ~hBOOL(hAPP(hAPP(hAPP(c_Natural_Oevalc, V_c), V_s), V_u)) | ~hBOOL(hAPP(hAPP(hAPP(c_Natural_Oevalc, V_c), V_s), V_t)) )).
% 12.16/12.37 cnf(matrix-503, plain, ( hBOOL(hAPP(c_Lattices_Oupper__semilattice__class_Osup(V_A, V_B, tc_fun(T_a, tc_bool)), V_x)) | ~hBOOL(hAPP(V_A, V_x)) )).
% 12.16/12.37 cnf(matrix-504, plain, ( hBOOL(hAPP(c_Lattices_Oupper__semilattice__class_Osup(V_A, V_B, tc_fun(T_a, tc_bool)), V_x)) | ~hBOOL(hAPP(V_B, V_x)) )).
% 12.16/12.37 cnf(matrix-505, plain, ( hBOOL(hAPP(V_B, V_x)) | hBOOL(hAPP(V_A, V_x)) | ~hBOOL(hAPP(c_Lattices_Oupper__semilattice__class_Osup(V_A, V_B, tc_fun(T_a, tc_bool)), V_x)) )).
% 12.16/12.37 cnf(matrix-506, plain, ( ~class_Lattices_Olattice(T_b) | ( hAPP(c_Lattices_Oupper__semilattice__class_Osup(V_f, V_g, tc_fun(t_a, T_b)), v_x) = c_Lattices_Oupper__semilattice__class_Osup(hAPP(V_f, v_x), hAPP(V_g, v_x), T_b)) )).
% 12.16/12.37 cnf(matrix-507, plain, ( ( c_Lattices_Oupper__semilattice__class_Osup(V_A, V_A, tc_fun(T_a, tc_bool)) = V_A) )).
% 12.16/12.37 cnf(matrix-508, plain, ( ~class_Lattices_Oupper__semilattice(T_a) | ( c_Lattices_Oupper__semilattice__class_Osup(V_x, V_x, T_a) = V_x) )).
% 12.16/12.37 cnf(matrix-509, plain, ( ( hAPP(c_COMBB(V_P, V_Q, T_b, T_a, T_c), V_R) = hAPP(V_P, hAPP(V_Q, V_R))) )).
% 12.16/12.37 cnf(matrix-510, plain, ( ( hAPP(c_COMBS(V_P, V_Q, T_b, T_c, T_a), V_R) = hAPP(hAPP(V_P, V_R), hAPP(V_Q, V_R))) )).
% 12.16/12.37 cnf(matrix-511, plain, ( ( c_Lattices_Oupper__semilattice__class_Osup(V_A, c_Lattices_Oupper__semilattice__class_Osup(V_B, V_C, tc_fun(T_a, tc_bool)), tc_fun(T_a, tc_bool)) = c_Lattices_Oupper__semilattice__class_Osup(V_B, c_Lattices_Oupper__semilattice__class_Osup(V_A, V_C, tc_fun(T_a, tc_bool)), tc_fun(T_a, tc_bool))) )).
% 12.16/12.37 cnf(matrix-512, plain, ( ( c_Lattices_Oupper__semilattice__class_Osup(c_Lattices_Oupper__semilattice__class_Osup(V_A, V_B, tc_fun(T_a, tc_bool)), V_C, tc_fun(T_a, tc_bool)) = c_Lattices_Oupper__semilattice__class_Osup(V_A, c_Lattices_Oupper__semilattice__class_Osup(V_B, V_C, tc_fun(T_a, tc_bool)), tc_fun(T_a, tc_bool))) )).
% 12.16/12.37 cnf(matrix-513, plain, ( ~class_Lattices_Oupper__semilattice(T_a) | ( c_Lattices_Oupper__semilattice__class_Osup(c_Lattices_Oupper__semilattice__class_Osup(V_x, V_y, T_a), V_z, T_a) = c_Lattices_Oupper__semilattice__class_Osup(V_x, c_Lattices_Oupper__semilattice__class_Osup(V_y, V_z, T_a), T_a)) )).
% 12.16/12.37 cnf(matrix-514, plain, ( ~class_Lattices_Oupper__semilattice(T_a) | ( c_Lattices_Oupper__semilattice__class_Osup(V_x, c_Lattices_Oupper__semilattice__class_Osup(V_y, V_z, T_a), T_a) = c_Lattices_Oupper__semilattice__class_Osup(V_y, c_Lattices_Oupper__semilattice__class_Osup(V_x, V_z, T_a), T_a)) )).
% 12.16/12.37 cnf(matrix-515, plain, ( ~class_Lattices_Olattice(T_a) | ( c_Lattices_Oupper__semilattice__class_Osup(V_x, c_Lattices_Oupper__semilattice__class_Osup(V_y, V_z, T_a), T_a) = c_Lattices_Oupper__semilattice__class_Osup(V_y, c_Lattices_Oupper__semilattice__class_Osup(V_x, V_z, T_a), T_a)) )).
% 12.16/12.37 cnf(matrix-516, plain, ( ~class_Lattices_Olattice(T_a) | ( c_Lattices_Oupper__semilattice__class_Osup(c_Lattices_Oupper__semilattice__class_Osup(V_x, V_y, T_a), V_z, T_a) = c_Lattices_Oupper__semilattice__class_Osup(V_x, c_Lattices_Oupper__semilattice__class_Osup(V_y, V_z, T_a), T_a)) )).
% 12.16/12.37 cnf(matrix-517, plain, ( ( c_Lattices_Oupper__semilattice__class_Osup(V_A, V_B, tc_fun(T_a, tc_bool)) = c_Lattices_Oupper__semilattice__class_Osup(V_B, V_A, tc_fun(T_a, tc_bool))) )).
% 12.16/12.37 cnf(matrix-518, plain, ( ~class_Lattices_Oupper__semilattice(T_a) | ( c_Lattices_Oupper__semilattice__class_Osup(V_x, V_y, T_a) = c_Lattices_Oupper__semilattice__class_Osup(V_y, V_x, T_a)) )).
% 12.16/12.37 cnf(matrix-519, plain, ( ~class_Lattices_Olattice(T_a) | ( c_Lattices_Oupper__semilattice__class_Osup(V_x, V_y, T_a) = c_Lattices_Oupper__semilattice__class_Osup(V_y, V_x, T_a)) )).
% 12.16/12.37 cnf(matrix-520, plain, ( ( hAPP(c_Com_Ocom_OBODY, V_pname) != hAPP(c_Com_Ocom_OBODY, V_pname_H)) | ( V_pname = V_pname_H) )).
% 12.16/12.37 cnf(matrix-521, plain, ( ( c_Lattices_Oupper__semilattice__class_Osup(V_A, c_Lattices_Oupper__semilattice__class_Osup(V_A, V_B, tc_fun(T_a, tc_bool)), tc_fun(T_a, tc_bool)) = c_Lattices_Oupper__semilattice__class_Osup(V_A, V_B, tc_fun(T_a, tc_bool))) )).
% 12.16/12.37 cnf(matrix-522, plain, ( ~class_Lattices_Oupper__semilattice(T_a) | ( c_Lattices_Oupper__semilattice__class_Osup(V_x, c_Lattices_Oupper__semilattice__class_Osup(V_x, V_y, T_a), T_a) = c_Lattices_Oupper__semilattice__class_Osup(V_x, V_y, T_a)) )).
% 12.16/12.37 cnf(matrix-523, plain, ( ~class_Lattices_Olattice(T_a) | ( c_Lattices_Oupper__semilattice__class_Osup(V_x, c_Lattices_Oupper__semilattice__class_Osup(V_x, V_y, T_a), T_a) = c_Lattices_Oupper__semilattice__class_Osup(V_x, V_y, T_a)) )).
% 12.16/12.37 cnf(matrix-524, plain, ( c_Hoare__Mirabelle_Ohoare__derivs(c_Lattices_Oupper__semilattice__class_Osup(v_G, c_Set_Oimage(c_COMBS(c_COMBB(hAPP(c_Hoare__Mirabelle_Otriple_Otriple(tc_Com_Ostate), c_fequal(tc_Com_Ostate)), c_Com_Ocom_OBODY, tc_Com_Ocom, tc_fun(tc_fun(tc_Com_Ostate, tc_fun(tc_Com_Ostate, tc_bool)), tc_Hoare__Mirabelle_Otriple(tc_Com_Ostate)), tc_Com_Opname), c_COMBB(c_Natural_Oevalc, c_Com_Ocom_OBODY, tc_Com_Ocom, tc_fun(tc_Com_Ostate, tc_fun(tc_Com_Ostate, tc_bool)), tc_Com_Opname), tc_Com_Opname, tc_fun(tc_Com_Ostate, tc_fun(tc_Com_Ostate, tc_bool)), tc_Hoare__Mirabelle_Otriple(tc_Com_Ostate)), v_Procs, tc_Com_Opname, tc_Hoare__Mirabelle_Otriple(tc_Com_Ostate)), tc_fun(tc_Hoare__Mirabelle_Otriple(tc_Com_Ostate), tc_bool)), c_Set_Oimage(c_COMBS(c_COMBB(hAPP(c_Hoare__Mirabelle_Otriple_Otriple(tc_Com_Ostate), c_fequal(tc_Com_Ostate)), c_COMBB(c_Option_Othe(tc_Com_Ocom), c_Com_Obody, tc_Option_Ooption(tc_Com_Ocom), tc_Com_Ocom, tc_Com_Opname), tc_Com_Ocom, tc_fun(tc_fun(tc_Com_Ostate, tc_fun(tc_Com_Ostate, tc_bool)), tc_Hoare__Mirabelle_Otriple(tc_Com_Ostate)), tc_Com_Opname), c_COMBB(c_Natural_Oevalc, c_COMBB(c_Option_Othe(tc_Com_Ocom), c_Com_Obody, tc_Option_Ooption(tc_Com_Ocom), tc_Com_Ocom, tc_Com_Opname), tc_Com_Ocom, tc_fun(tc_Com_Ostate, tc_fun(tc_Com_Ostate, tc_bool)), tc_Com_Opname), tc_Com_Opname, tc_fun(tc_Com_Ostate, tc_fun(tc_Com_Ostate, tc_bool)), tc_Hoare__Mirabelle_Otriple(tc_Com_Ostate)), v_Procs, tc_Com_Opname, tc_Hoare__Mirabelle_Otriple(tc_Com_Ostate)), tc_Com_Ostate) )).
% 12.16/12.37 cnf(matrix-525, plain, ( hBOOL(hAPP(hAPP(hAPP(c_Natural_Oevalc, hAPP(c_Option_Othe(tc_Com_Ocom), hAPP(c_Com_Obody, v_pn))), v_x), v_xa)) )).
% 12.16/12.37 cnf(matrix-526, plain, ( ~hBOOL(hAPP(hAPP(hAPP(c_Natural_Oevalc, hAPP(c_Com_Ocom_OBODY, v_pn)), v_x), v_xa)) )).
% 12.16/12.37 cnf(matrix-527, plain, ( class_Lattices_Oupper__semilattice(tc_fun(T_2, T_1)) | ~class_Lattices_Olattice(T_1) )).
% 12.16/12.37 cnf(matrix-528, plain, ( class_Lattices_Obounded__lattice(tc_fun(T_2, T_1)) | ~class_Lattices_Obounded__lattice(T_1) )).
% 12.16/12.37 cnf(matrix-529, plain, ( class_Orderings_Opreorder(tc_fun(T_2, T_1)) | ~class_Orderings_Opreorder(T_1) )).
% 12.16/12.37 cnf(matrix-530, plain, ( class_Lattices_Olattice(tc_fun(T_2, T_1)) | ~class_Lattices_Olattice(T_1) )).
% 12.16/12.37 cnf(matrix-531, plain, ( class_Orderings_Oorder(tc_fun(T_2, T_1)) | ~class_Orderings_Oorder(T_1) )).
% 12.16/12.37 cnf(matrix-532, plain, ( class_Orderings_Otop(tc_fun(T_2, T_1)) | ~class_Orderings_Otop(T_1) )).
% 12.16/12.37 cnf(matrix-533, plain, ( class_Orderings_Obot(tc_fun(T_2, T_1)) | ~class_Orderings_Obot(T_1) )).
% 12.16/12.37 cnf(matrix-534, plain, ( class_HOL_Ominus(tc_fun(T_2, T_1)) | ~class_HOL_Ominus(T_1) )).
% 12.16/12.37 cnf(matrix-535, plain, ( class_HOL_Oord(tc_fun(T_2, T_1)) | ~class_HOL_Oord(T_1) )).
% 12.16/12.37 cnf(matrix-536, plain, ( class_Lattices_Oupper__semilattice(tc_nat) )).
% 12.16/12.37 cnf(matrix-537, plain, ( class_Orderings_Opreorder(tc_nat) )).
% 12.16/12.37 cnf(matrix-538, plain, ( class_Orderings_Olinorder(tc_nat) )).
% 12.16/12.37 cnf(matrix-539, plain, ( class_Lattices_Olattice(tc_nat) )).
% 12.16/12.37 cnf(matrix-540, plain, ( class_Orderings_Oorder(tc_nat) )).
% 12.16/12.37 cnf(matrix-541, plain, ( class_Orderings_Obot(tc_nat) )).
% 12.16/12.37 cnf(matrix-542, plain, ( class_HOL_Ominus(tc_nat) )).
% 12.16/12.37 cnf(matrix-543, plain, ( class_HOL_Oord(tc_nat) )).
% 12.16/12.37 cnf(matrix-544, plain, ( class_Lattices_Oupper__semilattice(tc_bool) )).
% 12.16/12.37 cnf(matrix-545, plain, ( class_Lattices_Obounded__lattice(tc_bool) )).
% 12.16/12.37 cnf(matrix-546, plain, ( class_Orderings_Opreorder(tc_bool) )).
% 12.16/12.37 cnf(matrix-547, plain, ( class_Lattices_Olattice(tc_bool) )).
% 12.16/12.37 cnf(matrix-548, plain, ( class_Orderings_Oorder(tc_bool) )).
% 12.16/12.37 cnf(matrix-549, plain, ( class_Orderings_Otop(tc_bool) )).
% 12.16/12.37 cnf(matrix-550, plain, ( class_Orderings_Obot(tc_bool) )).
% 12.16/12.37 cnf(matrix-551, plain, ( class_HOL_Ominus(tc_bool) )).
% 12.16/12.37 cnf(matrix-552, plain, ( class_HOL_Oord(tc_bool) )).
% 12.16/12.37 cnf(matrix-553, plain, ( ( hAPP(c_COMBS(V_P, V_Q, T_b, T_c, T_a), V_R) = hAPP(hAPP(V_P, V_R), hAPP(V_Q, V_R))) )).
% 12.16/12.37 cnf(matrix-554, plain, ( ( hAPP(c_COMBC(V_P, V_Q, T_b, T_c, T_a), V_R) = hAPP(hAPP(V_P, V_R), V_Q)) )).
% 12.16/12.37 cnf(matrix-555, plain, ( ( hAPP(c_COMBB(V_P, V_Q, T_b, T_a, T_c), V_R) = hAPP(V_P, hAPP(V_Q, V_R))) )).
% 12.16/12.37 cnf(matrix-556, plain, ( hBOOL(hAPP(hAPP(c_fequal(T_a), V_x), V_x)) )).
% 12.16/12.37 cnf(matrix-557, plain, ( ( V_X = V_Y) | ~hBOOL(hAPP(hAPP(c_fequal(T_a), V_X), V_Y)) )).
% 12.16/12.37
% 12.16/12.37 % Proof stack:
% 12.16/12.37 cnf(proof-stack, plain,
% 12.16/12.37 proof_stack(
% 12.16/12.37 start(525),
% 12.16/12.37 left_branch(0, 495, 1, 2),
% 12.16/12.37 left_branch(0, 526, 0, 3),
% 12.16/12.37 right_branch(3),
% 12.16/12.37 right_branch(2)
% 12.16/12.37 )).
% 12.16/12.37 % SZS output end Proof for theBenchmark
%------------------------------------------------------------------------------