TSTP Solution File: SWV854-1 by ConnectPP---0.3.0
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- Process Solution
%------------------------------------------------------------------------------
% File : ConnectPP---0.3.0
% Problem : SWV854-1 : 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 : n022.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 14:39:38 EDT 2024
% Result : Unsatisfiable 13.72s 13.93s
% Output : Proof 13.72s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : SWV854-1 : TPTP v8.1.2. Released v4.1.0.
% 0.07/0.13 % Command : connect++ --verbosity 0 --no-colour --tptp-proof --schedule default %s
% 0.13/0.34 % Computer : n022.cluster.edu
% 0.13/0.34 % Model : x86_64 x86_64
% 0.13/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.34 % Memory : 8042.1875MB
% 0.13/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.34 % CPULimit : 300
% 0.13/0.34 % WCLimit : 300
% 0.13/0.34 % DateTime : Thu Mar 21 08:35:26 EDT 2024
% 0.13/0.34 % CPUTime :
% 13.72/13.93 % SZS status Unsatisfiable for theBenchmark
% 13.72/13.93 % SZS output start Proof for theBenchmark
% 13.72/13.93
% 13.72/13.93 % Problem matrix:
% 13.72/13.93 cnf(matrix-0, plain, ( ( __eqx_0 = __eqx_0) )).
% 13.72/13.93 cnf(matrix-1, plain, ( ( __eqx_0 != __eqx_1) | ( __eqx_1 = __eqx_0) )).
% 13.72/13.93 cnf(matrix-2, plain, ( ( __eqx_0 != __eqx_1) | ( __eqx_1 != __eqx_2) | ( __eqx_0 = __eqx_2) )).
% 13.72/13.93 cnf(matrix-3, 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)) )).
% 13.72/13.93 cnf(matrix-4, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( c_Orderings_Oord__class_Omax(__eqx_0, __eqx_1, __eqx_2) = c_Orderings_Oord__class_Omax(__eqy_0, __eqy_1, __eqy_2)) )).
% 13.72/13.93 cnf(matrix-5, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( c_Orderings_Oord__class_Omin(__eqx_0, __eqx_1, __eqx_2) = c_Orderings_Oord__class_Omin(__eqy_0, __eqy_1, __eqy_2)) )).
% 13.72/13.93 cnf(matrix-6, 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)) )).
% 13.72/13.93 cnf(matrix-7, plain, ( ( __eqx_0 != __eqy_0) | ( c_HOL_Ozero__class_Ozero(__eqx_0) = c_HOL_Ozero__class_Ozero(__eqy_0)) )).
% 13.72/13.93 cnf(matrix-8, 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)) )).
% 13.72/13.93 cnf(matrix-9, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( hAPP(__eqx_0, __eqx_1) = hAPP(__eqy_0, __eqy_1)) )).
% 13.72/13.93 cnf(matrix-10, plain, ( ( __eqx_0 != __eqy_0) | ( c_HOL_Oplus__class_Oplus(__eqx_0) = c_HOL_Oplus__class_Oplus(__eqy_0)) )).
% 13.72/13.93 cnf(matrix-11, plain, ( ( __eqx_0 != __eqy_0) | ( c_Orderings_Obot__class_Obot(__eqx_0) = c_Orderings_Obot__class_Obot(__eqy_0)) )).
% 13.72/13.93 cnf(matrix-12, 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)) )).
% 13.72/13.93 cnf(matrix-13, 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)) )).
% 13.72/13.93 cnf(matrix-14, 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)) )).
% 13.72/13.93 cnf(matrix-15, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( tc_fun(__eqx_0, __eqx_1) = tc_fun(__eqy_0, __eqy_1)) )).
% 13.72/13.93 cnf(matrix-16, plain, ( ( __eqx_0 != __eqy_0) | ( c_COMBI(__eqx_0) = c_COMBI(__eqy_0)) )).
% 13.72/13.93 cnf(matrix-17, 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)) )).
% 13.72/13.93 cnf(matrix-18, 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)) )).
% 13.72/13.93 cnf(matrix-19, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( c_Divides_Odiv__class_Omod(__eqx_0, __eqx_1, __eqx_2) = c_Divides_Odiv__class_Omod(__eqy_0, __eqy_1, __eqy_2)) )).
% 13.72/13.93 cnf(matrix-20, 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)) )).
% 13.72/13.93 cnf(matrix-21, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( __eqx_3 != __eqy_3) | ( c_Nat_Onat_Onat__case(__eqx_0, __eqx_1, __eqx_2, __eqx_3) = c_Nat_Onat_Onat__case(__eqy_0, __eqy_1, __eqy_2, __eqy_3)) )).
% 13.72/13.93 cnf(matrix-22, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( c_in(__eqx_0, __eqx_1, __eqx_2) = c_in(__eqy_0, __eqy_1, __eqy_2)) )).
% 13.72/13.93 cnf(matrix-23, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( __eqx_3 != __eqy_3) | ( __eqx_4 != __eqy_4) | ( c_Power_Opower_Opower(__eqx_0, __eqx_1, __eqx_2, __eqx_3, __eqx_4) = c_Power_Opower_Opower(__eqy_0, __eqy_1, __eqy_2, __eqy_3, __eqy_4)) )).
% 13.72/13.93 cnf(matrix-24, plain, ( ( __eqx_0 != __eqy_0) | ( c_Fun_Oid(__eqx_0) = c_Fun_Oid(__eqy_0)) )).
% 13.72/13.93 cnf(matrix-25, 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)) )).
% 13.72/13.93 cnf(matrix-26, 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)) )).
% 13.72/13.93 cnf(matrix-27, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( __eqx_3 != __eqy_3) | ( __eqx_4 != __eqy_4) | ( __eqx_5 != __eqy_5) | ( c_COMBB(__eqx_0, __eqx_1, __eqx_2, __eqx_3, __eqx_4, __eqx_5) = c_COMBB(__eqy_0, __eqy_1, __eqy_2, __eqy_3, __eqy_4, __eqy_5)) )).
% 13.72/13.93 cnf(matrix-28, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( __eqx_3 != __eqy_3) | ( __eqx_4 != __eqy_4) | ( __eqx_5 != __eqy_5) | ( c_COMBC(__eqx_0, __eqx_1, __eqx_2, __eqx_3, __eqx_4, __eqx_5) = c_COMBC(__eqy_0, __eqy_1, __eqy_2, __eqy_3, __eqy_4, __eqy_5)) )).
% 13.72/13.93 cnf(matrix-29, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( c_COMBK(__eqx_0, __eqx_1, __eqx_2) = c_COMBK(__eqy_0, __eqy_1, __eqy_2)) )).
% 13.72/13.93 cnf(matrix-30, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( __eqx_3 != __eqy_3) | ( __eqx_4 != __eqy_4) | ( __eqx_5 != __eqy_5) | ( c_COMBS(__eqx_0, __eqx_1, __eqx_2, __eqx_3, __eqx_4, __eqx_5) = c_COMBS(__eqy_0, __eqy_1, __eqy_2, __eqy_3, __eqy_4, __eqy_5)) )).
% 13.72/13.93 cnf(matrix-31, 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)) )).
% 13.72/13.93 cnf(matrix-32, plain, ( ( __eqx_0 != __eqy_0) | ( c_Option_Ooption_ONone(__eqx_0) = c_Option_Ooption_ONone(__eqy_0)) )).
% 13.72/13.93 cnf(matrix-33, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( __eqx_3 != __eqy_3) | ( c_Hoare__Mirabelle_Otriple_Otriple(__eqx_0, __eqx_1, __eqx_2, __eqx_3) = c_Hoare__Mirabelle_Otriple_Otriple(__eqy_0, __eqy_1, __eqy_2, __eqy_3)) )).
% 13.72/13.93 cnf(matrix-34, plain, ( ( __eqx_0 != __eqy_0) | ( tc_Hoare__Mirabelle_Otriple(__eqx_0) = tc_Hoare__Mirabelle_Otriple(__eqy_0)) )).
% 13.72/13.93 cnf(matrix-35, plain, ( ( __eqx_0 != __eqy_0) | ( c_Com_Ocom_OBODY(__eqx_0) = c_Com_Ocom_OBODY(__eqy_0)) )).
% 13.72/13.93 cnf(matrix-36, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( __eqx_3 != __eqy_3) | ( c_Nat_Onat_Onat__rec(__eqx_0, __eqx_1, __eqx_2, __eqx_3) = c_Nat_Onat_Onat__rec(__eqy_0, __eqy_1, __eqy_2, __eqy_3)) )).
% 13.72/13.93 cnf(matrix-37, 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)) )).
% 13.72/13.93 cnf(matrix-38, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( __eqx_3 != __eqy_3) | ( v_sko__Hoare__Mirabelle__Xtriple__valid__def2__2(__eqx_0, __eqx_1, __eqx_2, __eqx_3) = v_sko__Hoare__Mirabelle__Xtriple__valid__def2__2(__eqy_0, __eqy_1, __eqy_2, __eqy_3)) )).
% 13.72/13.93 cnf(matrix-39, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( __eqx_3 != __eqy_3) | ( v_sko__Hoare__Mirabelle__Xtriple__valid__def2__3(__eqx_0, __eqx_1, __eqx_2, __eqx_3) = v_sko__Hoare__Mirabelle__Xtriple__valid__def2__3(__eqy_0, __eqy_1, __eqy_2, __eqy_3)) )).
% 13.72/13.93 cnf(matrix-40, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( __eqx_3 != __eqy_3) | ( c_Nat_Osemiring__1__class_Oof__nat__aux(__eqx_0, __eqx_1, __eqx_2, __eqx_3) = c_Nat_Osemiring__1__class_Oof__nat__aux(__eqy_0, __eqy_1, __eqy_2, __eqy_3)) )).
% 13.72/13.93 cnf(matrix-41, 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)) )).
% 13.72/13.93 cnf(matrix-42, 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)) )).
% 13.72/13.93 cnf(matrix-43, 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)) )).
% 13.72/13.93 cnf(matrix-44, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( __eqx_3 != __eqy_3) | ( v_sko__Hoare__Mirabelle__Xtriple__valid__def2__1(__eqx_0, __eqx_1, __eqx_2, __eqx_3) = v_sko__Hoare__Mirabelle__Xtriple__valid__def2__1(__eqy_0, __eqy_1, __eqy_2, __eqy_3)) )).
% 13.72/13.93 cnf(matrix-45, plain, ( ( __eqx_0 != __eqy_0) | ( c_Com_Obody(__eqx_0) = c_Com_Obody(__eqy_0)) )).
% 13.72/13.93 cnf(matrix-46, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( v_sko__Hoare__Mirabelle__Xhoare__valids__def__1(__eqx_0, __eqx_1) = v_sko__Hoare__Mirabelle__Xhoare__valids__def__1(__eqy_0, __eqy_1)) )).
% 13.72/13.93 cnf(matrix-47, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( v_sko__Hoare__Mirabelle__Xhoare__valids__def__2(__eqx_0, __eqx_1) = v_sko__Hoare__Mirabelle__Xhoare__valids__def__2(__eqy_0, __eqy_1)) )).
% 13.72/13.93 cnf(matrix-48, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( c_Option_Othe(__eqx_0, __eqx_1) = c_Option_Othe(__eqy_0, __eqy_1)) )).
% 13.72/13.93 cnf(matrix-49, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( v_sko__Hoare__Mirabelle__Xtriples__valid__Suc__1(__eqx_0, __eqx_1) = v_sko__Hoare__Mirabelle__Xtriples__valid__Suc__1(__eqy_0, __eqy_1)) )).
% 13.72/13.93 cnf(matrix-50, plain, ( ( __eqx_0 != __eqy_0) | ~class_Orderings_Olinorder(__eqx_0) | class_Orderings_Olinorder(__eqy_0) )).
% 13.72/13.93 cnf(matrix-51, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ~c_HOL_Oord__class_Oless(__eqx_0, __eqx_1, __eqx_2) | c_HOL_Oord__class_Oless(__eqy_0, __eqy_1, __eqy_2) )).
% 13.72/13.93 cnf(matrix-52, plain, ( ( __eqx_0 != __eqy_0) | ~class_OrderedGroup_Opordered__ab__group__add(__eqx_0) | class_OrderedGroup_Opordered__ab__group__add(__eqy_0) )).
% 13.72/13.93 cnf(matrix-53, 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) )).
% 13.72/13.93 cnf(matrix-54, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ~c_Natural_Oevalc(__eqx_0, __eqx_1, __eqx_2) | c_Natural_Oevalc(__eqy_0, __eqy_1, __eqy_2) )).
% 13.72/13.93 cnf(matrix-55, plain, ( ( __eqx_0 != __eqy_0) | ~hBOOL(__eqx_0) | hBOOL(__eqy_0) )).
% 13.72/13.93 cnf(matrix-56, plain, ( ( __eqx_0 != __eqy_0) | ~class_Orderings_Obot(__eqx_0) | class_Orderings_Obot(__eqy_0) )).
% 13.72/13.93 cnf(matrix-57, 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) )).
% 13.72/13.93 cnf(matrix-58, plain, ( ( __eqx_0 != __eqy_0) | ~class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(__eqx_0) | class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(__eqy_0) )).
% 13.72/13.93 cnf(matrix-59, plain, ( ( __eqx_0 != __eqy_0) | ~class_OrderedGroup_Ocomm__monoid__add(__eqx_0) | class_OrderedGroup_Ocomm__monoid__add(__eqy_0) )).
% 13.72/13.93 cnf(matrix-60, plain, ( ( __eqx_0 != __eqy_0) | ~class_Divides_Osemiring__div(__eqx_0) | class_Divides_Osemiring__div(__eqy_0) )).
% 13.72/13.93 cnf(matrix-61, plain, ( ( __eqx_0 != __eqy_0) | ~class_OrderedGroup_Olordered__ab__group__add(__eqx_0) | class_OrderedGroup_Olordered__ab__group__add(__eqy_0) )).
% 13.72/13.93 cnf(matrix-62, 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) )).
% 13.72/13.93 cnf(matrix-63, plain, ( ( __eqx_0 != __eqy_0) | ~class_OrderedGroup_Ogroup__add(__eqx_0) | class_OrderedGroup_Ogroup__add(__eqy_0) )).
% 13.72/13.93 cnf(matrix-64, plain, ( ( __eqx_0 != __eqy_0) | ~class_OrderedGroup_Opordered__ab__semigroup__add(__eqx_0) | class_OrderedGroup_Opordered__ab__semigroup__add(__eqy_0) )).
% 13.72/13.93 cnf(matrix-65, plain, ( ( __eqx_0 != __eqy_0) | ~class_OrderedGroup_Opordered__comm__monoid__add(__eqx_0) | class_OrderedGroup_Opordered__comm__monoid__add(__eqy_0) )).
% 13.72/13.93 cnf(matrix-66, plain, ( ( __eqx_0 != __eqy_0) | ~class_Orderings_Opreorder(__eqx_0) | class_Orderings_Opreorder(__eqy_0) )).
% 13.72/13.93 cnf(matrix-67, plain, ( ( __eqx_0 != __eqy_0) | ~class_Orderings_Oorder(__eqx_0) | class_Orderings_Oorder(__eqy_0) )).
% 13.72/13.93 cnf(matrix-68, plain, ( ( __eqx_0 != __eqy_0) | ~class_Ring__and__Field_Ocomm__semiring__1(__eqx_0) | class_Ring__and__Field_Ocomm__semiring__1(__eqy_0) )).
% 13.72/13.93 cnf(matrix-69, plain, ( ( __eqx_0 != __eqy_0) | ~class_OrderedGroup_Oab__group__add(__eqx_0) | class_OrderedGroup_Oab__group__add(__eqy_0) )).
% 13.72/13.93 cnf(matrix-70, plain, ( ( __eqx_0 != __eqy_0) | ~class_OrderedGroup_Oab__semigroup__add(__eqx_0) | class_OrderedGroup_Oab__semigroup__add(__eqy_0) )).
% 13.72/13.93 cnf(matrix-71, plain, ( ( __eqx_0 != __eqy_0) | ~class_Divides_Oring__div(__eqx_0) | class_Divides_Oring__div(__eqy_0) )).
% 13.72/13.93 cnf(matrix-72, plain, ( ( __eqx_0 != __eqy_0) | ~class_Ring__and__Field_Oidom(__eqx_0) | class_Ring__and__Field_Oidom(__eqy_0) )).
% 13.72/13.93 cnf(matrix-73, plain, ( ( __eqx_0 != __eqy_0) | ~class_Int_Onumber__ring(__eqx_0) | class_Int_Onumber__ring(__eqy_0) )).
% 13.72/13.93 cnf(matrix-74, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( __eqx_3 != __eqy_3) | ( __eqx_4 != __eqy_4) | ( __eqx_5 != __eqy_5) | ~c_Groebner__Basis_Ogb__semiring(__eqx_0, __eqx_1, __eqx_2, __eqx_3, __eqx_4, __eqx_5) | c_Groebner__Basis_Ogb__semiring(__eqy_0, __eqy_1, __eqy_2, __eqy_3, __eqy_4, __eqy_5) )).
% 13.72/13.93 cnf(matrix-75, plain, ( ( __eqx_0 != __eqy_0) | ~class_Ring__and__Field_Oordered__idom(__eqx_0) | class_Ring__and__Field_Oordered__idom(__eqy_0) )).
% 13.72/13.93 cnf(matrix-76, plain, ( ( __eqx_0 != __eqy_0) | ~c_Com_OWT(__eqx_0) | c_Com_OWT(__eqy_0) )).
% 13.72/13.93 cnf(matrix-77, 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) )).
% 13.72/13.93 cnf(matrix-78, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ~c_Orderings_Oorder__class_Omono(__eqx_0, __eqx_1, __eqx_2) | c_Orderings_Oorder__class_Omono(__eqy_0, __eqy_1, __eqy_2) )).
% 13.72/13.93 cnf(matrix-79, plain, ( ( __eqx_0 != __eqy_0) | ~class_OrderedGroup_Ocancel__ab__semigroup__add(__eqx_0) | class_OrderedGroup_Ocancel__ab__semigroup__add(__eqy_0) )).
% 13.72/13.93 cnf(matrix-80, plain, ( ( __eqx_0 != __eqy_0) | ~class_OrderedGroup_Ocancel__semigroup__add(__eqx_0) | class_OrderedGroup_Ocancel__semigroup__add(__eqy_0) )).
% 13.72/13.93 cnf(matrix-81, plain, ( ( __eqx_0 != __eqy_0) | ~class_OrderedGroup_Opordered__cancel__ab__semigroup__add(__eqx_0) | class_OrderedGroup_Opordered__cancel__ab__semigroup__add(__eqy_0) )).
% 13.72/13.93 cnf(matrix-82, plain, ( ( __eqx_0 != __eqy_0) | ~class_OrderedGroup_Omonoid__add(__eqx_0) | class_OrderedGroup_Omonoid__add(__eqy_0) )).
% 13.72/13.93 cnf(matrix-83, 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) )).
% 13.72/13.93 cnf(matrix-84, plain, ( ( __eqx_0 != __eqy_0) | ~class_Ring__and__Field_Oordered__semidom(__eqx_0) | class_Ring__and__Field_Oordered__semidom(__eqy_0) )).
% 13.72/13.93 cnf(matrix-85, plain, ( ( __eqx_0 != __eqy_0) | ~class_Ring__and__Field_Osemiring__1(__eqx_0) | class_Ring__and__Field_Osemiring__1(__eqy_0) )).
% 13.72/13.93 cnf(matrix-86, 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) )).
% 13.72/13.93 cnf(matrix-87, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ~c_fequal(__eqx_0, __eqx_1, __eqx_2) | c_fequal(__eqy_0, __eqy_1, __eqy_2) )).
% 13.72/13.93 cnf(matrix-88, plain, ( ( c_Com_Ocom_OWhile(V_fun_H, V_com_H) != c_Com_Ocom_OSKIP) )).
% 13.72/13.93 cnf(matrix-89, plain, ( ~class_Orderings_Olinorder(T_a) | c_HOL_Oord__class_Oless(c_Orderings_Oord__class_Omax(V_x, V_y, T_a), V_z, T_a) | ~c_HOL_Oord__class_Oless(V_y, V_z, T_a) | ~c_HOL_Oord__class_Oless(V_x, V_z, T_a) )).
% 13.72/13.93 cnf(matrix-90, plain, ( ~class_OrderedGroup_Opordered__ab__group__add(T_a) | ( c_HOL_Ominus__class_Ominus(c_Orderings_Oord__class_Omin(V_x, V_y, T_a), V_z, T_a) = c_Orderings_Oord__class_Omin(c_HOL_Ominus__class_Ominus(V_x, V_z, T_a), c_HOL_Ominus__class_Ominus(V_y, V_z, T_a), T_a)) )).
% 13.72/13.93 cnf(matrix-91, plain, ( ( c_HOL_Ominus__class_Ominus(V_m, V_n, tc_nat) != c_HOL_Ozero__class_Ozero(tc_nat)) | c_lessequals(V_m, V_n, tc_nat) )).
% 13.72/13.93 cnf(matrix-92, plain, ( ( c_HOL_Ominus__class_Ominus(V_m, V_n, tc_nat) = c_HOL_Ozero__class_Ozero(tc_nat)) | ~c_lessequals(V_m, V_n, tc_nat) )).
% 13.72/13.93 cnf(matrix-93, plain, ( ~class_Orderings_Olinorder(T_a) | c_lessequals(V_x, c_Orderings_Oord__class_Omin(V_y, V_z, T_a), T_a) | ~c_lessequals(V_x, V_z, T_a) | ~c_lessequals(V_x, V_y, T_a) )).
% 13.72/13.93 cnf(matrix-94, plain, ( ~class_Orderings_Olinorder(T_a) | c_lessequals(V_x, c_Orderings_Oord__class_Omin(V_y, V_z, T_a), T_a) | ~c_lessequals(V_x, V_z, T_a) | ~c_lessequals(V_x, V_y, T_a) )).
% 13.72/13.93 cnf(matrix-95, plain, ( ~class_Orderings_Olinorder(T_a) | c_lessequals(V_x, c_Orderings_Oord__class_Omin(V_a, V_b, T_a), T_a) | ~c_lessequals(V_x, V_b, T_a) | ~c_lessequals(V_x, V_a, T_a) )).
% 13.72/13.93 cnf(matrix-96, plain, ( ~class_Orderings_Olinorder(T_a) | c_lessequals(c_Orderings_Oord__class_Omin(V_x, V_y, T_a), V_y, T_a) )).
% 13.72/13.93 cnf(matrix-97, plain, ( ~class_Orderings_Olinorder(T_a) | c_lessequals(c_Orderings_Oord__class_Omin(V_x, V_y, T_a), V_x, T_a) )).
% 13.72/13.93 cnf(matrix-98, plain, ( ( c_Com_Ocom_OWhile(V_fun_H, V_com_H) != c_Com_Ocom_OLocal(V_loc, V_fun, V_com)) )).
% 13.72/13.93 cnf(matrix-99, plain, ( c_Natural_Oevalc(c_Com_Ocom_OWhile(V_b, V_c), V_s, V_s) | hBOOL(hAPP(V_b, V_s)) )).
% 13.72/13.93 cnf(matrix-100, plain, ( c_HOL_Oord__class_Oless(V_i, hAPP(c_Suc, hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat), V_i), V_m)), tc_nat) )).
% 13.72/13.93 cnf(matrix-101, plain, ( c_HOL_Oord__class_Oless(V_i, hAPP(c_Suc, hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat), V_m), V_i)), tc_nat) )).
% 13.72/13.93 cnf(matrix-102, plain, ( c_HOL_Oord__class_Oless(V_m, hAPP(c_Suc, hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat), V_m), V_x)), tc_nat) )).
% 13.72/13.93 cnf(matrix-103, plain, ( c_lessequals(hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat), V_i), V_k), V_j, tc_nat) | ~c_lessequals(V_i, c_HOL_Ominus__class_Ominus(V_j, V_k, tc_nat), tc_nat) | ~c_lessequals(V_k, V_j, tc_nat) )).
% 13.72/13.93 cnf(matrix-104, plain, ( c_lessequals(V_i, c_HOL_Ominus__class_Ominus(V_j, V_k, tc_nat), tc_nat) | ~c_lessequals(hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat), V_i), V_k), V_j, tc_nat) | ~c_lessequals(V_k, V_j, tc_nat) )).
% 13.72/13.93 cnf(matrix-105, plain, ( ~class_Orderings_Olinorder(T_a) | c_lessequals(c_Orderings_Oord__class_Omax(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) )).
% 13.72/13.93 cnf(matrix-106, plain, ( ~class_Orderings_Olinorder(T_a) | c_lessequals(c_Orderings_Oord__class_Omax(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) )).
% 13.72/13.93 cnf(matrix-107, plain, ( ~class_Orderings_Olinorder(T_a) | c_lessequals(c_Orderings_Oord__class_Omax(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) )).
% 13.72/13.93 cnf(matrix-108, plain, ( ~class_Orderings_Olinorder(T_a) | c_lessequals(V_x, c_Orderings_Oord__class_Omax(V_x, V_y, T_a), T_a) )).
% 13.72/13.93 cnf(matrix-109, plain, ( ~class_Orderings_Olinorder(T_a) | c_lessequals(V_y, c_Orderings_Oord__class_Omax(V_x, V_y, T_a), T_a) )).
% 13.72/13.93 cnf(matrix-110, plain, ( ~class_Orderings_Obot(T_a) | c_lessequals(c_Orderings_Obot__class_Obot(T_a), V_x, T_a) )).
% 13.72/13.93 cnf(matrix-111, plain, ( ( c_Com_Ocom_OSemi(V_com1, V_com2) != c_Com_Ocom_OSemi(V_com1_H, V_com2_H)) | ( V_com2 = V_com2_H) )).
% 13.72/13.93 cnf(matrix-112, plain, ( ( c_Com_Ocom_OSemi(V_com1, V_com2) != c_Com_Ocom_OSemi(V_com1_H, V_com2_H)) | ( V_com1 = V_com1_H) )).
% 13.72/13.93 cnf(matrix-113, plain, ( ( c_Com_Ocom_OSemi(V_com1, V_com2) != c_Com_Ocom_OWhile(V_fun_H, V_com_H)) )).
% 13.72/13.93 cnf(matrix-114, plain, ( ~class_Orderings_Olinorder(T_a) | ( c_Orderings_Oord__class_Omin(c_Orderings_Oord__class_Omax(V_y, V_z, T_a), V_x, T_a) = c_Orderings_Oord__class_Omax(c_Orderings_Oord__class_Omin(V_y, V_x, T_a), c_Orderings_Oord__class_Omin(V_z, V_x, T_a), T_a)) )).
% 13.72/13.93 cnf(matrix-115, plain, ( ~class_Orderings_Olinorder(T_a) | ( c_Orderings_Oord__class_Omin(V_x, c_Orderings_Oord__class_Omax(V_y, V_z, T_a), T_a) = c_Orderings_Oord__class_Omax(c_Orderings_Oord__class_Omin(V_x, V_y, T_a), c_Orderings_Oord__class_Omin(V_x, V_z, T_a), T_a)) )).
% 13.72/13.93 cnf(matrix-116, plain, ( ( c_Com_Ocom_OSemi(V_com1, V_com2) != c_Com_Ocom_OCond(V_fun_H, V_com1_H, V_com2_H)) )).
% 13.72/13.93 cnf(matrix-117, plain, ( ( c_Set_Oinsert(V_a, V_A, T_a) != c_Orderings_Obot__class_Obot(tc_fun(T_a, tc_bool))) )).
% 13.72/13.93 cnf(matrix-118, plain, ( ( c_Com_Ocom_OSemi(V_com1_H, V_com2_H) != c_Com_Ocom_OLocal(V_loc, V_fun, V_com)) )).
% 13.72/13.93 cnf(matrix-119, plain, ( c_Fun_Oinj__on(c_COMBI(T_a), V_A, T_a, T_a) )).
% 13.72/13.93 cnf(matrix-120, plain, ( ~class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(T_a) | ~class_OrderedGroup_Ocomm__monoid__add(T_a) | c_lessequals(V_b, hAPP(hAPP(c_HOL_Oplus__class_Oplus(T_a), V_a), V_c), T_a) | ~c_lessequals(V_b, V_c, T_a) | ~c_lessequals(c_HOL_Ozero__class_Ozero(T_a), V_a, T_a) )).
% 13.72/13.93 cnf(matrix-121, plain, ( ( c_HOL_Ominus__class_Ominus(hAPP(c_Suc, c_HOL_Ominus__class_Ominus(V_j, V_k, tc_nat)), V_m, tc_nat) = c_HOL_Ominus__class_Ominus(hAPP(c_Suc, V_j), hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat), V_k), V_m), tc_nat)) | ~c_lessequals(V_k, V_j, tc_nat) )).
% 13.72/13.93 cnf(matrix-122, 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)) )).
% 13.72/13.93 cnf(matrix-123, 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))) )).
% 13.72/13.93 cnf(matrix-124, 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) )).
% 13.72/13.93 cnf(matrix-125, 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) )).
% 13.72/13.93 cnf(matrix-126, 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) )).
% 13.72/13.93 cnf(matrix-127, plain, ( ~class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(T_a) | ~class_OrderedGroup_Ocomm__monoid__add(T_a) | c_HOL_Oord__class_Oless(V_b, hAPP(hAPP(c_HOL_Oplus__class_Oplus(T_a), V_a), V_c), T_a) | ~c_lessequals(V_b, V_c, T_a) | ~c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(T_a), V_a, T_a) )).
% 13.72/13.93 cnf(matrix-128, plain, ( ( hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat), hAPP(c_Suc, c_HOL_Ozero__class_Ozero(tc_nat))), c_HOL_Ozero__class_Ozero(tc_nat)) = hAPP(c_Suc, c_HOL_Ozero__class_Ozero(tc_nat))) )).
% 13.72/13.93 cnf(matrix-129, plain, ( ~class_Divides_Osemiring__div(T_a) | ( c_Divides_Odiv__class_Omod(c_Divides_Odiv__class_Omod(V_a, V_b, T_a), V_b, T_a) = c_Divides_Odiv__class_Omod(V_a, V_b, T_a)) )).
% 13.72/13.93 cnf(matrix-130, 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))) )).
% 13.72/13.93 cnf(matrix-131, plain, ( ( c_Com_Ocom_OAss(V_vname, V_fun) != c_Com_Ocom_OSemi(V_com1_H, V_com2_H)) )).
% 13.72/13.93 cnf(matrix-132, 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) )).
% 13.72/13.93 cnf(matrix-133, plain, ( ~hBOOL(hAPP(V_P, c_Nat_Onat_Onat__case(V_f1, V_f2, c_HOL_Ozero__class_Ozero(tc_nat), t_a))) | hBOOL(hAPP(V_P, V_f1)) )).
% 13.72/13.93 cnf(matrix-134, plain, ( ~class_Divides_Osemiring__div(T_a) | ( c_Divides_Odiv__class_Omod(c_HOL_Ozero__class_Ozero(T_a), V_a, T_a) = c_HOL_Ozero__class_Ozero(T_a)) )).
% 13.72/13.93 cnf(matrix-135, plain, ( ~class_Orderings_Olinorder(T_a) | c_HOL_Oord__class_Oless(V_z, c_Orderings_Oord__class_Omin(V_x, V_y, T_a), T_a) | ~c_HOL_Oord__class_Oless(V_z, V_y, T_a) | ~c_HOL_Oord__class_Oless(V_z, V_x, T_a) )).
% 13.72/13.93 cnf(matrix-136, plain, ( ( V_n = c_HOL_Ozero__class_Ozero(tc_nat)) | ~c_HOL_Oord__class_Oless(V_n, hAPP(c_Suc, c_HOL_Ozero__class_Ozero(tc_nat)), tc_nat) )).
% 13.72/13.93 cnf(matrix-137, plain, ( ~class_OrderedGroup_Olordered__ab__group__add(T_a) | c_lessequals(c_HOL_Ozero__class_Ozero(T_a), V_a, T_a) | ~c_lessequals(c_HOL_Ozero__class_Ozero(T_a), hAPP(hAPP(c_HOL_Oplus__class_Oplus(T_a), V_a), V_a), T_a) )).
% 13.72/13.93 cnf(matrix-138, plain, ( ~class_OrderedGroup_Olordered__ab__group__add(T_a) | c_lessequals(c_HOL_Ozero__class_Ozero(T_a), hAPP(hAPP(c_HOL_Oplus__class_Oplus(T_a), V_a), V_a), T_a) | ~c_lessequals(c_HOL_Ozero__class_Ozero(T_a), V_a, T_a) )).
% 13.72/13.93 cnf(matrix-139, plain, ( ( c_Com_Ocom_OLocal(V_loc, V_fun, V_com) != c_Com_Ocom_OCond(V_fun_H, V_com1_H, V_com2_H)) )).
% 13.72/13.93 cnf(matrix-140, plain, ( ~class_Orderings_Olinorder(T_a) | ( c_Orderings_Oord__class_Omin(V_x, c_Orderings_Oord__class_Omin(V_x, V_y, T_a), T_a) = c_Orderings_Oord__class_Omin(V_x, V_y, T_a)) )).
% 13.72/13.93 cnf(matrix-141, plain, ( ( c_Com_Ocom_OCond(V_fun, V_com1, V_com2) != c_Com_Ocom_OCall(V_vname_H, V_pname_H, V_fun_H)) )).
% 13.72/13.93 cnf(matrix-142, 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) )).
% 13.72/13.93 cnf(matrix-143, plain, ( c_Natural_Oevaln(c_Com_Ocom_OWhile(V_b, V_c), V_s, V_n, V_s) | hBOOL(hAPP(V_b, V_s)) )).
% 13.72/13.93 cnf(matrix-144, plain, ( ~class_OrderedGroup_Ogroup__add(T_a) | ( hAPP(hAPP(c_HOL_Oplus__class_Oplus(T_a), c_HOL_Ominus__class_Ominus(V_a, V_b, T_a)), V_b) = V_a) )).
% 13.72/13.93 cnf(matrix-145, plain, ( ~hBOOL(hAPP(V_P, c_HOL_Ominus__class_Ominus(hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat), V_b), V_x), V_b, tc_nat))) | hBOOL(hAPP(V_P, V_x)) )).
% 13.72/13.93 cnf(matrix-146, plain, ( ~hBOOL(hAPP(V_P, c_HOL_Ominus__class_Ominus(hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat), V_b), V_d), V_b, tc_nat))) | hBOOL(hAPP(V_P, V_d)) )).
% 13.72/13.93 cnf(matrix-147, plain, ( ( V_b = V_a) | ~hBOOL(c_in(V_b, c_Set_Oinsert(V_a, c_Orderings_Obot__class_Obot(tc_fun(T_a, tc_bool)), T_a), T_a)) )).
% 13.72/13.93 cnf(matrix-148, plain, ( c_lessequals(hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat), V_i), V_k), hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat), V_j), V_l), tc_nat) | ~c_lessequals(V_k, V_l, tc_nat) | ~c_lessequals(V_i, V_j, tc_nat) )).
% 13.72/13.93 cnf(matrix-149, plain, ( ~class_OrderedGroup_Opordered__ab__semigroup__add(T_a) | c_lessequals(hAPP(hAPP(c_HOL_Oplus__class_Oplus(T_a), V_a), V_c), hAPP(hAPP(c_HOL_Oplus__class_Oplus(T_a), V_b), V_d), T_a) | ~c_lessequals(V_c, V_d, T_a) | ~c_lessequals(V_a, V_b, T_a) )).
% 13.72/13.93 cnf(matrix-150, plain, ( ~class_OrderedGroup_Ocomm__monoid__add(T_a) | ( c_Power_Opower_Opower(c_HOL_Ozero__class_Ozero(T_a), c_HOL_Oplus__class_Oplus(T_a), V_a, hAPP(c_Suc, V_n), T_a) = hAPP(hAPP(c_HOL_Oplus__class_Oplus(T_a), c_Power_Opower_Opower(c_HOL_Ozero__class_Ozero(T_a), c_HOL_Oplus__class_Oplus(T_a), V_a, V_n, T_a)), V_a)) )).
% 13.72/13.93 cnf(matrix-151, plain, ( ~class_OrderedGroup_Ocomm__monoid__add(T_a) | ( c_Power_Opower_Opower(c_HOL_Ozero__class_Ozero(T_a), c_HOL_Oplus__class_Oplus(T_a), V_a, hAPP(c_Suc, V_n), T_a) = hAPP(hAPP(c_HOL_Oplus__class_Oplus(T_a), V_a), c_Power_Opower_Opower(c_HOL_Ozero__class_Ozero(T_a), c_HOL_Oplus__class_Oplus(T_a), V_a, V_n, T_a))) )).
% 13.72/13.93 cnf(matrix-152, plain, ( c_HOL_Oord__class_Oless(V_m, hAPP(c_Suc, V_n), tc_nat) | ~c_lessequals(V_m, V_n, tc_nat) )).
% 13.72/13.93 cnf(matrix-153, plain, ( c_lessequals(V_m, V_n, tc_nat) | ~c_HOL_Oord__class_Oless(V_m, hAPP(c_Suc, V_n), tc_nat) )).
% 13.72/13.93 cnf(matrix-154, plain, ( ~c_lessequals(V_x, V_x, tc_nat) | c_HOL_Oord__class_Oless(V_x, hAPP(c_Suc, V_x), tc_nat) )).
% 13.72/13.93 cnf(matrix-155, plain, ( ~class_OrderedGroup_Olordered__ab__group__add(T_a) | ( hAPP(hAPP(c_HOL_Oplus__class_Oplus(T_a), c_HOL_Ozero__class_Ozero(T_a)), c_HOL_Ozero__class_Ozero(T_a)) = c_HOL_Ozero__class_Ozero(T_a)) )).
% 13.72/13.93 cnf(matrix-156, plain, ( ( hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat), c_HOL_Ozero__class_Ozero(tc_nat)), c_HOL_Ozero__class_Ozero(tc_nat)) = c_HOL_Ozero__class_Ozero(tc_nat)) )).
% 13.72/13.93 cnf(matrix-157, plain, ( ~class_OrderedGroup_Opordered__comm__monoid__add(T_a) | ~c_lessequals(c_HOL_Ozero__class_Ozero(T_a), c_HOL_Ozero__class_Ozero(T_a), T_a) | ( hAPP(hAPP(c_HOL_Oplus__class_Oplus(T_a), c_HOL_Ozero__class_Ozero(T_a)), c_HOL_Ozero__class_Ozero(T_a)) = c_HOL_Ozero__class_Ozero(T_a)) )).
% 13.72/13.93 cnf(matrix-158, plain, ( ~class_OrderedGroup_Ocomm__monoid__add(T_a) | ( c_Power_Opower_Opower(c_HOL_Ozero__class_Ozero(T_a), c_HOL_Oplus__class_Oplus(T_a), V_a, hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat), V_m), V_n), T_a) = hAPP(hAPP(c_HOL_Oplus__class_Oplus(T_a), c_Power_Opower_Opower(c_HOL_Ozero__class_Ozero(T_a), c_HOL_Oplus__class_Oplus(T_a), V_a, V_m, T_a)), c_Power_Opower_Opower(c_HOL_Ozero__class_Ozero(T_a), c_HOL_Oplus__class_Oplus(T_a), V_a, V_n, T_a))) )).
% 13.72/13.93 cnf(matrix-159, plain, ( c_HOL_Oord__class_Oless(c_HOL_Ominus__class_Ominus(V_m, V_n, tc_nat), hAPP(c_Suc, V_m), tc_nat) )).
% 13.72/13.93 cnf(matrix-160, plain, ( ~class_OrderedGroup_Ocomm__monoid__add(T_a) | ( c_Power_Opower_Opower(c_HOL_Ozero__class_Ozero(T_a), c_HOL_Oplus__class_Oplus(T_a), hAPP(hAPP(c_HOL_Oplus__class_Oplus(T_a), V_a), V_b), V_n, T_a) = hAPP(hAPP(c_HOL_Oplus__class_Oplus(T_a), c_Power_Opower_Opower(c_HOL_Ozero__class_Ozero(T_a), c_HOL_Oplus__class_Oplus(T_a), V_a, V_n, T_a)), c_Power_Opower_Opower(c_HOL_Ozero__class_Ozero(T_a), c_HOL_Oplus__class_Oplus(T_a), V_b, V_n, T_a))) )).
% 13.72/13.93 cnf(matrix-161, plain, ( ( c_Fun_Ocomp(V_f, c_Fun_Oid(T_a), T_a, T_b, T_a) = V_f) )).
% 13.72/13.93 cnf(matrix-162, plain, ( ( c_Fun_Ocomp(c_Fun_Oid(T_b), V_g, T_b, T_b, T_a) = V_g) )).
% 13.72/13.93 cnf(matrix-163, plain, ( ~class_Divides_Osemiring__div(T_a) | ( c_Divides_Odiv__class_Omod(hAPP(hAPP(c_HOL_Oplus__class_Oplus(T_a), V_a), V_b), V_c, T_a) = c_Divides_Odiv__class_Omod(hAPP(hAPP(c_HOL_Oplus__class_Oplus(T_a), c_Divides_Odiv__class_Omod(V_a, V_c, T_a)), c_Divides_Odiv__class_Omod(V_b, V_c, T_a)), V_c, T_a)) )).
% 13.72/13.93 cnf(matrix-164, plain, ( ~class_OrderedGroup_Opordered__comm__monoid__add(T_a) | c_lessequals(c_HOL_Ozero__class_Ozero(T_a), hAPP(hAPP(c_HOL_Oplus__class_Oplus(T_a), V_a), V_b), T_a) | ~c_lessequals(c_HOL_Ozero__class_Ozero(T_a), V_b, T_a) | ~c_lessequals(c_HOL_Ozero__class_Ozero(T_a), V_a, T_a) )).
% 13.72/13.93 cnf(matrix-165, plain, ( ~class_Orderings_Opreorder(T_a) | c_HOL_Oord__class_Oless(V_x, V_z, T_a) | ~c_HOL_Oord__class_Oless(V_y, V_z, T_a) | ~c_HOL_Oord__class_Oless(V_x, V_y, T_a) )).
% 13.72/13.93 cnf(matrix-166, plain, ( ~class_Orderings_Oorder(T_a) | c_HOL_Oord__class_Oless(V_z, V_x, T_a) | ~c_HOL_Oord__class_Oless(V_z, V_y, T_a) | ~c_HOL_Oord__class_Oless(V_y, V_x, T_a) )).
% 13.72/13.93 cnf(matrix-167, plain, ( ( c_Com_Ocom_OCall(V_vname_H, V_pname_H, V_fun_H) != c_Com_Ocom_OSemi(V_com1, V_com2)) )).
% 13.72/13.93 cnf(matrix-168, plain, ( ~class_Orderings_Olinorder(T_a) | ( c_Orderings_Oord__class_Omax(V_x, V_y, T_a) = V_y) | ~c_lessequals(V_x, V_y, T_a) )).
% 13.72/13.93 cnf(matrix-169, plain, ( ~class_Orderings_Olinorder(T_a) | ( c_Orderings_Oord__class_Omax(V_x, V_y, T_a) != V_y) | c_lessequals(V_x, V_y, T_a) )).
% 13.72/13.93 cnf(matrix-170, plain, ( ~class_Orderings_Olinorder(T_a) | ( c_Orderings_Oord__class_Omax(V_x, V_y, T_a) = V_x) | ~c_lessequals(V_y, V_x, T_a) )).
% 13.72/13.93 cnf(matrix-171, plain, ( ~class_Ring__and__Field_Ocomm__semiring__1(T_a) | ( hAPP(hAPP(c_HOL_Oplus__class_Oplus(T_a), V_x), hAPP(hAPP(c_HOL_Oplus__class_Oplus(T_a), V_y), V_z)) = hAPP(hAPP(c_HOL_Oplus__class_Oplus(T_a), hAPP(hAPP(c_HOL_Oplus__class_Oplus(T_a), V_x), V_y)), V_z)) )).
% 13.72/13.93 cnf(matrix-172, plain, ( ~class_OrderedGroup_Oab__group__add(T_a) | ( hAPP(hAPP(c_HOL_Oplus__class_Oplus(T_a), V_x), hAPP(hAPP(c_HOL_Oplus__class_Oplus(T_a), V_y), V_z)) = hAPP(hAPP(c_HOL_Oplus__class_Oplus(T_a), V_y), hAPP(hAPP(c_HOL_Oplus__class_Oplus(T_a), V_x), V_z))) )).
% 13.72/13.93 cnf(matrix-173, plain, ( ( hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat), V_x), hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat), V_y), V_z)) = hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat), V_y), hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat), V_x), V_z))) )).
% 13.72/13.93 cnf(matrix-174, plain, ( ( hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat), hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat), V_m), V_n)), V_k) = hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat), V_m), hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat), V_n), V_k))) )).
% 13.72/13.93 cnf(matrix-175, plain, ( ~class_OrderedGroup_Ocomm__monoid__add(T_a) | ( hAPP(hAPP(c_HOL_Oplus__class_Oplus(T_a), hAPP(hAPP(c_HOL_Oplus__class_Oplus(T_a), V_a), V_b)), V_c) = hAPP(hAPP(c_HOL_Oplus__class_Oplus(T_a), V_a), hAPP(hAPP(c_HOL_Oplus__class_Oplus(T_a), V_b), V_c))) )).
% 13.72/13.93 cnf(matrix-176, plain, ( ~class_OrderedGroup_Ocomm__monoid__add(T_a) | ( hAPP(hAPP(c_HOL_Oplus__class_Oplus(T_a), V_a), hAPP(hAPP(c_HOL_Oplus__class_Oplus(T_a), V_b), V_c)) = hAPP(hAPP(c_HOL_Oplus__class_Oplus(T_a), V_b), hAPP(hAPP(c_HOL_Oplus__class_Oplus(T_a), V_a), V_c))) )).
% 13.72/13.93 cnf(matrix-177, plain, ( ~class_OrderedGroup_Oab__semigroup__add(T_a) | ( hAPP(hAPP(c_HOL_Oplus__class_Oplus(T_a), hAPP(hAPP(c_HOL_Oplus__class_Oplus(T_a), V_a), V_b)), V_c) = hAPP(hAPP(c_HOL_Oplus__class_Oplus(T_a), V_a), hAPP(hAPP(c_HOL_Oplus__class_Oplus(T_a), V_b), V_c))) )).
% 13.72/13.93 cnf(matrix-178, plain, ( ~class_Ring__and__Field_Ocomm__semiring__1(T_a) | ( hAPP(hAPP(c_HOL_Oplus__class_Oplus(T_a), V_a), hAPP(hAPP(c_HOL_Oplus__class_Oplus(T_a), V_c), V_d)) = hAPP(hAPP(c_HOL_Oplus__class_Oplus(T_a), hAPP(hAPP(c_HOL_Oplus__class_Oplus(T_a), V_a), V_c)), V_d)) )).
% 13.72/13.93 cnf(matrix-179, plain, ( ~class_Ring__and__Field_Ocomm__semiring__1(T_a) | ( hAPP(hAPP(c_HOL_Oplus__class_Oplus(T_a), hAPP(hAPP(c_HOL_Oplus__class_Oplus(T_a), V_a), V_b)), V_c) = hAPP(hAPP(c_HOL_Oplus__class_Oplus(T_a), hAPP(hAPP(c_HOL_Oplus__class_Oplus(T_a), V_a), V_c)), V_b)) )).
% 13.72/13.93 cnf(matrix-180, plain, ( ~class_Ring__and__Field_Ocomm__semiring__1(T_a) | ( hAPP(hAPP(c_HOL_Oplus__class_Oplus(T_a), V_a), hAPP(hAPP(c_HOL_Oplus__class_Oplus(T_a), V_c), V_d)) = hAPP(hAPP(c_HOL_Oplus__class_Oplus(T_a), V_c), hAPP(hAPP(c_HOL_Oplus__class_Oplus(T_a), V_a), V_d))) )).
% 13.72/13.93 cnf(matrix-181, plain, ( ~class_Ring__and__Field_Ocomm__semiring__1(T_a) | ( hAPP(hAPP(c_HOL_Oplus__class_Oplus(T_a), hAPP(hAPP(c_HOL_Oplus__class_Oplus(T_a), V_a), V_b)), V_c) = hAPP(hAPP(c_HOL_Oplus__class_Oplus(T_a), V_a), hAPP(hAPP(c_HOL_Oplus__class_Oplus(T_a), V_b), V_c))) )).
% 13.72/13.93 cnf(matrix-182, plain, ( c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat), V_n, tc_nat) | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat), V_m, tc_nat) | ~c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat), hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat), V_m), V_n), tc_nat) )).
% 13.72/13.93 cnf(matrix-183, plain, ( ~c_HOL_Oord__class_Oless(V_m, c_HOL_Ozero__class_Ozero(tc_nat), tc_nat) )).
% 13.72/13.93 cnf(matrix-184, plain, ( ~c_HOL_Oord__class_Oless(V_n, c_HOL_Ozero__class_Ozero(tc_nat), tc_nat) )).
% 13.72/13.93 cnf(matrix-185, plain, ( ~class_OrderedGroup_Oab__group__add(T_a) | ( hAPP(hAPP(c_HOL_Oplus__class_Oplus(T_a), V_x), hAPP(hAPP(c_HOL_Oplus__class_Oplus(T_a), V_y), V_z)) != hAPP(hAPP(c_HOL_Oplus__class_Oplus(T_a), V_y), V_u)) | ( hAPP(hAPP(c_HOL_Oplus__class_Oplus(T_a), V_x), V_z) = V_u) )).
% 13.72/13.93 cnf(matrix-186, plain, ( c_Fun_Oinj__on(c_Fun_Oid(T_a), V_A, T_a, T_a) )).
% 13.72/13.93 cnf(matrix-187, plain, ( c_lessequals(V_i, hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat), V_m), V_j), tc_nat) | ~c_lessequals(V_i, V_j, tc_nat) )).
% 13.72/13.93 cnf(matrix-188, plain, ( c_lessequals(V_i, hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat), V_j), V_m), tc_nat) | ~c_lessequals(V_i, V_j, tc_nat) )).
% 13.72/13.93 cnf(matrix-189, plain, ( c_lessequals(V_k, V_n, tc_nat) | ~c_lessequals(hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat), V_m), V_k), V_n, tc_nat) )).
% 13.72/13.93 cnf(matrix-190, plain, ( c_lessequals(V_m, V_n, tc_nat) | ~c_lessequals(hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat), V_m), V_k), V_n, tc_nat) )).
% 13.72/13.93 cnf(matrix-191, plain, ( c_lessequals(V_x, hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat), V_y), V_z), tc_nat) | ~c_lessequals(V_x, V_z, tc_nat) )).
% 13.72/13.93 cnf(matrix-192, plain, ( c_lessequals(V_x, hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat), V_y), V_z), tc_nat) | ~c_lessequals(V_x, V_y, tc_nat) )).
% 13.72/13.93 cnf(matrix-193, 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)) )).
% 13.72/13.93 cnf(matrix-194, 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)) )).
% 13.72/13.93 cnf(matrix-195, 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) )).
% 13.72/13.93 cnf(matrix-196, plain, ( ~class_Divides_Oring__div(T_a) | ( c_Divides_Odiv__class_Omod(c_HOL_Ominus__class_Ominus(V_a, V_b, T_a), V_c, T_a) = c_Divides_Odiv__class_Omod(c_HOL_Ominus__class_Ominus(c_Divides_Odiv__class_Omod(V_a, V_c, T_a), V_b, T_a), V_c, T_a)) )).
% 13.72/13.93 cnf(matrix-197, plain, ( ~class_Divides_Oring__div(T_a) | ( c_Divides_Odiv__class_Omod(c_HOL_Ominus__class_Ominus(V_a, V_b, T_a), V_c, T_a) = c_Divides_Odiv__class_Omod(c_HOL_Ominus__class_Ominus(V_a, c_Divides_Odiv__class_Omod(V_b, V_c, T_a), T_a), V_c, T_a)) )).
% 13.72/13.93 cnf(matrix-198, 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)) )).
% 13.72/13.93 cnf(matrix-199, plain, ( ~class_Orderings_Olinorder(T_a) | ( c_Orderings_Oord__class_Omin(V_x, V_y, T_a) = V_x) | ~c_lessequals(V_x, V_y, T_a) )).
% 13.72/13.93 cnf(matrix-200, plain, ( ~class_Orderings_Olinorder(T_a) | ( c_Orderings_Oord__class_Omin(V_x, V_y, T_a) != V_x) | c_lessequals(V_x, V_y, T_a) )).
% 13.72/13.93 cnf(matrix-201, plain, ( ~class_Orderings_Olinorder(T_a) | ( c_Orderings_Oord__class_Omin(V_x, V_y, T_a) = V_y) | ~c_lessequals(V_y, V_x, T_a) )).
% 13.72/13.93 cnf(matrix-202, plain, ( ~class_OrderedGroup_Opordered__ab__group__add(T_a) | ( c_HOL_Ominus__class_Ominus(c_Orderings_Oord__class_Omax(V_x, V_y, T_a), V_z, T_a) = c_Orderings_Oord__class_Omax(c_HOL_Ominus__class_Ominus(V_x, V_z, T_a), c_HOL_Ominus__class_Ominus(V_y, V_z, T_a), T_a)) )).
% 13.72/13.93 cnf(matrix-203, plain, ( ( c_COMBB(V_P, V_Q, V_R, T_b, T_a, T_c) = hAPP(V_P, hAPP(V_Q, V_R))) )).
% 13.72/13.93 cnf(matrix-204, plain, ( ( c_COMBC(V_P, V_Q, V_R, T_b, T_c, T_a) = hAPP(hAPP(V_P, V_R), V_Q)) )).
% 13.72/13.93 cnf(matrix-205, plain, ( ( hAPP(c_COMBI(T_a), V_P) = V_P) )).
% 13.72/13.93 cnf(matrix-206, plain, ( ( hAPP(c_COMBK(V_P, T_a, T_b), V_Q) = V_P) )).
% 13.72/13.93 cnf(matrix-207, plain, ( ( c_COMBS(V_P, V_Q, V_R, T_b, T_c, T_a) = hAPP(hAPP(V_P, V_R), hAPP(V_Q, V_R))) )).
% 13.72/13.93 cnf(matrix-208, plain, ( c_HOL_Oord__class_Oless(c_Divides_Odiv__class_Omod(V_m, V_n, tc_nat), V_n, tc_nat) | ~c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat), V_n, tc_nat) )).
% 13.72/13.93 cnf(matrix-209, 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)) )).
% 13.72/13.93 cnf(matrix-210, plain, ( ~class_Orderings_Olinorder(T_a) | c_HOL_Oord__class_Oless(V_x, V_y, T_a) | c_lessequals(V_y, V_x, T_a) )).
% 13.72/13.93 cnf(matrix-211, plain, ( ~class_Orderings_Olinorder(T_a) | ~c_lessequals(V_x, V_x, T_a) | ~c_HOL_Oord__class_Oless(V_x, V_x, T_a) )).
% 13.72/13.93 cnf(matrix-212, plain, ( ~class_Orderings_Olinorder(T_a) | c_HOL_Oord__class_Oless(V_x, V_x, T_a) | c_lessequals(V_x, V_x, T_a) )).
% 13.72/13.93 cnf(matrix-213, plain, ( ~class_Orderings_Olinorder(T_a) | ~c_HOL_Oord__class_Oless(V_x, V_y, T_a) | ~c_lessequals(V_y, V_x, T_a) )).
% 13.72/13.93 cnf(matrix-214, plain, ( ~class_Orderings_Olinorder(T_a) | c_lessequals(V_y, V_x, T_a) | c_HOL_Oord__class_Oless(V_x, V_y, T_a) )).
% 13.72/13.93 cnf(matrix-215, plain, ( ~class_Orderings_Olinorder(T_a) | ~c_lessequals(V_x, V_y, T_a) | ~c_HOL_Oord__class_Oless(V_y, V_x, T_a) )).
% 13.72/13.93 cnf(matrix-216, plain, ( ~class_Orderings_Olinorder(T_a) | c_HOL_Oord__class_Oless(V_y, V_x, T_a) | c_lessequals(V_x, V_y, T_a) )).
% 13.72/13.93 cnf(matrix-217, plain, ( ~class_Orderings_Opreorder(T_a) | ~c_lessequals(V_y, V_x, T_a) | ~c_HOL_Oord__class_Oless(V_x, V_y, T_a) )).
% 13.72/13.93 cnf(matrix-218, plain, ( ~class_Divides_Osemiring__div(T_a) | ( c_Divides_Odiv__class_Omod(hAPP(hAPP(c_HOL_Oplus__class_Oplus(T_a), V_a), V_b), V_c, T_a) = c_Divides_Odiv__class_Omod(hAPP(hAPP(c_HOL_Oplus__class_Oplus(T_a), c_Divides_Odiv__class_Omod(V_a, V_c, T_a)), V_b), V_c, T_a)) )).
% 13.72/13.93 cnf(matrix-219, plain, ( ~class_Divides_Osemiring__div(T_a) | ( c_Divides_Odiv__class_Omod(hAPP(hAPP(c_HOL_Oplus__class_Oplus(T_a), V_a), V_b), V_c, T_a) = c_Divides_Odiv__class_Omod(hAPP(hAPP(c_HOL_Oplus__class_Oplus(T_a), V_a), c_Divides_Odiv__class_Omod(V_b, V_c, T_a)), V_c, T_a)) )).
% 13.72/13.93 cnf(matrix-220, plain, ( ~class_Orderings_Olinorder(T_a) | ( c_Orderings_Oord__class_Omin(c_Orderings_Oord__class_Omin(V_x, V_y, T_a), V_z, T_a) = c_Orderings_Oord__class_Omin(V_x, c_Orderings_Oord__class_Omin(V_y, V_z, T_a), T_a)) )).
% 13.72/13.93 cnf(matrix-221, plain, ( ~class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(T_a) | ~class_OrderedGroup_Ocomm__monoid__add(T_a) | c_lessequals(V_b, hAPP(hAPP(c_HOL_Oplus__class_Oplus(T_a), V_a), V_c), T_a) | ~c_lessequals(V_b, V_a, T_a) | ~c_lessequals(c_HOL_Ozero__class_Ozero(T_a), V_c, T_a) )).
% 13.72/13.93 cnf(matrix-222, plain, ( c_lessequals(hAPP(c_Suc, V_m), V_n, tc_nat) | ~c_HOL_Oord__class_Oless(V_m, V_n, tc_nat) )).
% 13.72/13.93 cnf(matrix-223, plain, ( c_HOL_Oord__class_Oless(V_m, V_n, tc_nat) | ~c_lessequals(hAPP(c_Suc, V_m), V_n, tc_nat) )).
% 13.72/13.93 cnf(matrix-224, plain, ( c_lessequals(hAPP(c_Suc, V_n), V_m, tc_nat) | ~c_HOL_Oord__class_Oless(V_n, V_m, tc_nat) )).
% 13.72/13.93 cnf(matrix-225, plain, ( c_HOL_Oord__class_Oless(V_n, V_m, tc_nat) | ~c_lessequals(hAPP(c_Suc, V_n), V_m, tc_nat) )).
% 13.72/13.93 cnf(matrix-226, 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)) )).
% 13.72/13.93 cnf(matrix-227, plain, ( c_HOL_Oord__class_Oless(V_x, hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat), V_y), V_z), tc_nat) | ~c_HOL_Oord__class_Oless(V_x, V_y, tc_nat) )).
% 13.72/13.93 cnf(matrix-228, plain, ( c_HOL_Oord__class_Oless(V_x, hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat), V_y), V_z), tc_nat) | ~c_HOL_Oord__class_Oless(V_x, V_z, tc_nat) )).
% 13.72/13.93 cnf(matrix-229, plain, ( c_HOL_Oord__class_Oless(V_i, V_k, tc_nat) | ~c_HOL_Oord__class_Oless(hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat), V_i), V_j), V_k, tc_nat) )).
% 13.72/13.93 cnf(matrix-230, plain, ( c_HOL_Oord__class_Oless(V_i, hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat), V_j), V_m), tc_nat) | ~c_HOL_Oord__class_Oless(V_i, V_j, tc_nat) )).
% 13.72/13.93 cnf(matrix-231, plain, ( c_HOL_Oord__class_Oless(V_i, hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat), V_m), V_j), tc_nat) | ~c_HOL_Oord__class_Oless(V_i, V_j, tc_nat) )).
% 13.72/13.93 cnf(matrix-232, plain, ( ( c_Com_Ocom_OLocal(V_loc_H, V_fun_H, V_com_H) != c_Com_Ocom_OAss(V_vname, V_fun)) )).
% 13.72/13.93 cnf(matrix-233, plain, ( hBOOL(hAPP(V_A, V_x)) | ( V_y = V_x) | ~hBOOL(hAPP(c_Set_Oinsert(V_y, V_A, T_a), V_x)) )).
% 13.72/13.93 cnf(matrix-234, plain, ( ( c_Com_Ocom_OCond(V_fun, V_com1, V_com2) != c_Com_Ocom_OWhile(V_fun_H, V_com_H)) )).
% 13.72/13.93 cnf(matrix-235, plain, ( ( c_HOL_Ominus__class_Ominus(hAPP(c_Suc, V_m), V_n, tc_nat) = hAPP(c_Suc, c_HOL_Ominus__class_Ominus(V_m, V_n, tc_nat))) | ~c_lessequals(V_n, V_m, tc_nat) )).
% 13.72/13.93 cnf(matrix-236, plain, ( ( c_Com_Ocom_OCond(V_fun_H, V_com1_H, V_com2_H) != c_Com_Ocom_OLocal(V_loc, V_fun, V_com)) )).
% 13.72/13.93 cnf(matrix-237, plain, ( ~class_Divides_Osemiring__div(T_a) | ( c_Divides_Odiv__class_Omod(V_a, c_HOL_Ozero__class_Ozero(T_a), T_a) = V_a) )).
% 13.72/13.93 cnf(matrix-238, plain, ( ~class_Divides_Osemiring__div(T_a) | ( c_Divides_Odiv__class_Omod(V_a, V_a, T_a) = c_HOL_Ozero__class_Ozero(T_a)) )).
% 13.72/13.93 cnf(matrix-239, plain, ( ~class_Ring__and__Field_Ocomm__semiring__1(T_a) | ( hAPP(hAPP(c_HOL_Oplus__class_Oplus(T_a), V_a), V_c) = hAPP(hAPP(c_HOL_Oplus__class_Oplus(T_a), V_c), V_a)) )).
% 13.72/13.93 cnf(matrix-240, plain, ( ~class_OrderedGroup_Ocomm__monoid__add(T_a) | ( hAPP(hAPP(c_HOL_Oplus__class_Oplus(T_a), V_a), V_b) = hAPP(hAPP(c_HOL_Oplus__class_Oplus(T_a), V_b), V_a)) )).
% 13.72/13.93 cnf(matrix-241, plain, ( ( hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat), V_m), V_n) = hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat), V_n), V_m)) )).
% 13.72/13.93 cnf(matrix-242, plain, ( ( hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat), V_m), V_l) != hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat), V_k), V_n)) | ~c_HOL_Oord__class_Oless(V_k, V_l, tc_nat) | c_HOL_Oord__class_Oless(V_m, V_n, tc_nat) )).
% 13.72/13.93 cnf(matrix-243, plain, ( ~class_Ring__and__Field_Ocomm__semiring__1(T_a) | ( hAPP(hAPP(c_HOL_Oplus__class_Oplus(T_a), V_x), V_y) = hAPP(hAPP(c_HOL_Oplus__class_Oplus(T_a), V_y), V_x)) )).
% 13.72/13.93 cnf(matrix-244, plain, ( c_lessequals(c_Divides_Odiv__class_Omod(V_m, V_n, tc_nat), V_n, tc_nat) | ~c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat), V_n, tc_nat) )).
% 13.72/13.93 cnf(matrix-245, plain, ( ( hAPP(c_Fun_Ocomp(c_COMBK(V_c, T_b, T_c), V_f, T_c, T_b, t_a), v_x) = V_c) )).
% 13.72/13.93 cnf(matrix-246, plain, ( c_HOL_Oord__class_Oless(c_HOL_Ominus__class_Ominus(V_l, V_n, tc_nat), c_HOL_Ominus__class_Ominus(V_l, V_m, tc_nat), tc_nat) | ~c_HOL_Oord__class_Oless(V_m, V_l, tc_nat) | ~c_HOL_Oord__class_Oless(V_m, V_n, tc_nat) )).
% 13.72/13.93 cnf(matrix-247, plain, ( ( c_Com_Ocom_OCond(V_fun_H, V_com1_H, V_com2_H) != c_Com_Ocom_OSemi(V_com1, V_com2)) )).
% 13.72/13.93 cnf(matrix-248, plain, ( ~class_Ring__and__Field_Oidom(T_a) | ~class_Int_Onumber__ring(T_a) | ( V_x != hAPP(hAPP(c_HOL_Oplus__class_Oplus(T_a), V_x), V_a)) | ( V_a = c_HOL_Ozero__class_Ozero(T_a)) )).
% 13.72/13.93 cnf(matrix-249, plain, ( ( hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat), V_m), V_n) != V_m) | ( V_n = c_HOL_Ozero__class_Ozero(tc_nat)) )).
% 13.72/13.93 cnf(matrix-250, plain, ( ( V_x != hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat), V_x), V_a)) | ( V_a = c_HOL_Ozero__class_Ozero(tc_nat)) )).
% 13.72/13.93 cnf(matrix-251, 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) )).
% 13.72/13.93 cnf(matrix-252, 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) )).
% 13.72/13.93 cnf(matrix-253, 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) )).
% 13.72/13.93 cnf(matrix-254, 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)) )).
% 13.72/13.93 cnf(matrix-255, 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)) )).
% 13.72/13.93 cnf(matrix-256, 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) )).
% 13.72/13.93 cnf(matrix-257, 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)) )).
% 13.72/13.93 cnf(matrix-258, 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)) )).
% 13.72/13.93 cnf(matrix-259, plain, ( ( c_HOL_Ominus__class_Ominus(V_m, V_m, tc_nat) = c_HOL_Ozero__class_Ozero(tc_nat)) )).
% 13.72/13.93 cnf(matrix-260, plain, ( ( c_HOL_Ominus__class_Ominus(V_m, c_HOL_Ozero__class_Ozero(tc_nat), tc_nat) = V_m) )).
% 13.72/13.93 cnf(matrix-261, plain, ( ~class_Orderings_Olinorder(T_a) | c_lessequals(V_z, V_y, T_a) | c_lessequals(V_z, V_x, T_a) | ~c_lessequals(V_z, c_Orderings_Oord__class_Omax(V_x, V_y, T_a), T_a) )).
% 13.72/13.93 cnf(matrix-262, plain, ( ( hAPP(hAPP(V_mul, hAPP(hAPP(V_pwr, V_x), V_p)), hAPP(hAPP(V_pwr, V_x), V_q)) = hAPP(hAPP(V_pwr, V_x), hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat), V_p), V_q))) | ~c_Groebner__Basis_Ogb__semiring(V_add, V_mul, V_pwr, V_r0, V_r1, T_a) )).
% 13.72/13.93 cnf(matrix-263, plain, ( ~class_Orderings_Olinorder(T_a) | c_lessequals(V_x, V_z, T_a) | ~c_lessequals(V_x, c_Orderings_Oord__class_Omin(V_y, V_z, T_a), T_a) )).
% 13.72/13.93 cnf(matrix-264, plain, ( ~class_Orderings_Olinorder(T_a) | c_lessequals(V_x, V_y, T_a) | ~c_lessequals(V_x, c_Orderings_Oord__class_Omin(V_y, V_z, T_a), T_a) )).
% 13.72/13.93 cnf(matrix-265, plain, ( ~class_Orderings_Olinorder(T_a) | c_lessequals(c_Orderings_Oord__class_Omin(V_x, V_y, T_a), V_z, T_a) | ~c_lessequals(V_y, V_z, T_a) )).
% 13.72/13.93 cnf(matrix-266, plain, ( ~class_Orderings_Olinorder(T_a) | c_lessequals(c_Orderings_Oord__class_Omin(V_x, V_y, T_a), V_z, T_a) | ~c_lessequals(V_x, V_z, T_a) )).
% 13.72/13.93 cnf(matrix-267, plain, ( ~class_Orderings_Olinorder(T_a) | c_lessequals(c_Orderings_Oord__class_Omin(V_a, V_b, T_a), V_x, T_a) | ~c_lessequals(V_b, V_x, T_a) )).
% 13.72/13.93 cnf(matrix-268, plain, ( ~class_Orderings_Olinorder(T_a) | c_lessequals(c_Orderings_Oord__class_Omin(V_a, V_b, T_a), V_x, T_a) | ~c_lessequals(V_a, V_x, T_a) )).
% 13.72/13.93 cnf(matrix-269, plain, ( ~class_Orderings_Olinorder(T_a) | c_lessequals(V_x, V_b, T_a) | ~c_lessequals(V_x, c_Orderings_Oord__class_Omin(V_a, V_b, T_a), T_a) )).
% 13.72/13.93 cnf(matrix-270, plain, ( ~class_Orderings_Olinorder(T_a) | c_lessequals(V_x, V_a, T_a) | ~c_lessequals(V_x, c_Orderings_Oord__class_Omin(V_a, V_b, T_a), T_a) )).
% 13.72/13.93 cnf(matrix-271, plain, ( ( c_Orderings_Oord__class_Omin(c_HOL_Ozero__class_Ozero(tc_nat), V_n, tc_nat) = c_HOL_Ozero__class_Ozero(tc_nat)) )).
% 13.72/13.93 cnf(matrix-272, plain, ( ( c_Orderings_Oord__class_Omin(V_n, c_HOL_Ozero__class_Ozero(tc_nat), tc_nat) = c_HOL_Ozero__class_Ozero(tc_nat)) )).
% 13.72/13.93 cnf(matrix-273, plain, ( ( c_Option_Ooption_OSome(V_a_H, T_a) != c_Option_Ooption_ONone(T_a)) )).
% 13.72/13.93 cnf(matrix-274, plain, ( ( c_Option_Ooption_OSome(V_xa, T_a) != c_Option_Ooption_ONone(T_a)) )).
% 13.72/13.93 cnf(matrix-275, plain, ( ( c_Nat_Onat_Onat__case(V_f1, V_f2, c_HOL_Ozero__class_Ozero(tc_nat), T_a) = V_f1) )).
% 13.72/13.93 cnf(matrix-276, plain, ( ( c_Nat_Onat_Onat__case(V_x, V_f, c_HOL_Ozero__class_Ozero(tc_nat), T_a) = V_x) )).
% 13.72/13.93 cnf(matrix-277, plain, ( ( c_Com_Ocom_OCall(V_vname_H, V_pname_H, V_fun_H) != c_Com_Ocom_OCond(V_fun, V_com1, V_com2)) )).
% 13.72/13.93 cnf(matrix-278, plain, ( ( c_Option_Ooption_OSome(V_a, T_a) != c_Option_Ooption_OSome(V_a_H, T_a)) | ( V_a = V_a_H) )).
% 13.72/13.93 cnf(matrix-279, 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))) )).
% 13.72/13.93 cnf(matrix-280, 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)) )).
% 13.72/13.93 cnf(matrix-281, plain, ( ~class_OrderedGroup_Opordered__comm__monoid__add(T_a) | ( hAPP(hAPP(c_HOL_Oplus__class_Oplus(T_a), V_x), V_y) != c_HOL_Ozero__class_Ozero(T_a)) | ~c_lessequals(c_HOL_Ozero__class_Ozero(T_a), V_y, T_a) | ~c_lessequals(c_HOL_Ozero__class_Ozero(T_a), V_x, T_a) | ( V_y = c_HOL_Ozero__class_Ozero(T_a)) )).
% 13.72/13.93 cnf(matrix-282, plain, ( ~class_OrderedGroup_Opordered__comm__monoid__add(T_a) | ( hAPP(hAPP(c_HOL_Oplus__class_Oplus(T_a), V_x), V_y) != c_HOL_Ozero__class_Ozero(T_a)) | ~c_lessequals(c_HOL_Ozero__class_Ozero(T_a), V_y, T_a) | ~c_lessequals(c_HOL_Ozero__class_Ozero(T_a), V_x, T_a) | ( V_x = c_HOL_Ozero__class_Ozero(T_a)) )).
% 13.72/13.93 cnf(matrix-283, plain, ( ( hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat), V_m), V_n) != c_HOL_Ozero__class_Ozero(tc_nat)) | ( V_m = c_HOL_Ozero__class_Ozero(tc_nat)) )).
% 13.72/13.93 cnf(matrix-284, plain, ( ( hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat), V_m), V_n) != c_HOL_Ozero__class_Ozero(tc_nat)) | ( V_n = c_HOL_Ozero__class_Ozero(tc_nat)) )).
% 13.72/13.93 cnf(matrix-285, plain, ( ~class_OrderedGroup_Olordered__ab__group__add(T_a) | ( hAPP(hAPP(c_HOL_Oplus__class_Oplus(T_a), V_a), V_a) != c_HOL_Ozero__class_Ozero(T_a)) | ( V_a = c_HOL_Ozero__class_Ozero(T_a)) )).
% 13.72/13.93 cnf(matrix-286, plain, ( ( c_Com_Ocom_OAss(V_vname, V_fun) != c_Com_Ocom_OWhile(V_fun_H, V_com_H)) )).
% 13.72/13.93 cnf(matrix-287, plain, ( ( c_Divides_Odiv__class_Omod(V_m, V_n, tc_nat) = c_Divides_Odiv__class_Omod(c_HOL_Ominus__class_Ominus(V_m, V_n, tc_nat), V_n, tc_nat)) | ~c_lessequals(V_n, V_m, tc_nat) )).
% 13.72/13.93 cnf(matrix-288, plain, ( ~class_Orderings_Olinorder(T_a) | c_lessequals(V_y, V_z, T_a) | c_lessequals(V_x, V_z, T_a) | ~c_lessequals(c_Orderings_Oord__class_Omin(V_x, V_y, T_a), V_z, T_a) )).
% 13.72/13.93 cnf(matrix-289, plain, ( ( c_Com_Ocom_OAss(V_vname, V_fun) != c_Com_Ocom_OLocal(V_loc_H, V_fun_H, V_com_H)) )).
% 13.72/13.93 cnf(matrix-290, plain, ( ~class_Divides_Osemiring__div(T_a) | ( c_Divides_Odiv__class_Omod(V_b, V_c, T_a) != c_Divides_Odiv__class_Omod(V_b_H, V_c, T_a)) | ( c_Divides_Odiv__class_Omod(V_a, V_c, T_a) != c_Divides_Odiv__class_Omod(V_a_H, V_c, T_a)) | ( c_Divides_Odiv__class_Omod(hAPP(hAPP(c_HOL_Oplus__class_Oplus(T_a), V_a), V_b), V_c, T_a) = c_Divides_Odiv__class_Omod(hAPP(hAPP(c_HOL_Oplus__class_Oplus(T_a), V_a_H), V_b_H), V_c, T_a)) )).
% 13.72/13.93 cnf(matrix-291, plain, ( c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat), hAPP(c_Suc, c_HOL_Ozero__class_Ozero(tc_nat)), tc_nat) )).
% 13.72/13.93 cnf(matrix-292, plain, ( ~class_OrderedGroup_Olordered__ab__group__add(T_a) | c_HOL_Oord__class_Oless(hAPP(hAPP(c_HOL_Oplus__class_Oplus(T_a), V_a), V_a), c_HOL_Ozero__class_Ozero(T_a), T_a) | ~c_HOL_Oord__class_Oless(V_a, c_HOL_Ozero__class_Ozero(T_a), T_a) )).
% 13.72/13.93 cnf(matrix-293, plain, ( ~class_OrderedGroup_Olordered__ab__group__add(T_a) | c_HOL_Oord__class_Oless(V_a, c_HOL_Ozero__class_Ozero(T_a), T_a) | ~c_HOL_Oord__class_Oless(hAPP(hAPP(c_HOL_Oplus__class_Oplus(T_a), V_a), V_a), c_HOL_Ozero__class_Ozero(T_a), T_a) )).
% 13.72/13.93 cnf(matrix-294, plain, ( ~class_Ring__and__Field_Oordered__idom(T_a) | c_HOL_Oord__class_Oless(V_a, c_HOL_Ozero__class_Ozero(T_a), T_a) | ~c_HOL_Oord__class_Oless(hAPP(hAPP(c_HOL_Oplus__class_Oplus(T_a), V_a), V_a), c_HOL_Ozero__class_Ozero(T_a), T_a) )).
% 13.72/13.93 cnf(matrix-295, plain, ( ~class_Ring__and__Field_Oordered__idom(T_a) | c_HOL_Oord__class_Oless(hAPP(hAPP(c_HOL_Oplus__class_Oplus(T_a), V_a), V_a), c_HOL_Ozero__class_Ozero(T_a), T_a) | ~c_HOL_Oord__class_Oless(V_a, c_HOL_Ozero__class_Ozero(T_a), T_a) )).
% 13.72/13.93 cnf(matrix-296, plain, ( ( hAPP(c_Suc, c_HOL_Ozero__class_Ozero(tc_nat)) != hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat), V_m), V_n)) | ( V_n = hAPP(c_Suc, c_HOL_Ozero__class_Ozero(tc_nat))) | ( V_m = hAPP(c_Suc, c_HOL_Ozero__class_Ozero(tc_nat))) )).
% 13.72/13.93 cnf(matrix-297, plain, ( ( hAPP(c_Suc, c_HOL_Ozero__class_Ozero(tc_nat)) != hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat), V_m), V_n)) | ( V_m = c_HOL_Ozero__class_Ozero(tc_nat)) | ( V_n = c_HOL_Ozero__class_Ozero(tc_nat)) )).
% 13.72/13.93 cnf(matrix-298, plain, ( ~class_Orderings_Olinorder(T_a) | c_lessequals(V_y, V_z, T_a) | ~c_lessequals(c_Orderings_Oord__class_Omax(V_x, V_y, T_a), V_z, T_a) )).
% 13.72/13.93 cnf(matrix-299, plain, ( ~class_Orderings_Olinorder(T_a) | c_lessequals(V_x, V_z, T_a) | ~c_lessequals(c_Orderings_Oord__class_Omax(V_x, V_y, T_a), V_z, T_a) )).
% 13.72/13.93 cnf(matrix-300, plain, ( ~class_Orderings_Olinorder(T_a) | c_lessequals(V_z, c_Orderings_Oord__class_Omax(V_x, V_y, T_a), T_a) | ~c_lessequals(V_z, V_y, T_a) )).
% 13.72/13.93 cnf(matrix-301, plain, ( ~class_Orderings_Olinorder(T_a) | c_lessequals(V_z, c_Orderings_Oord__class_Omax(V_x, V_y, T_a), T_a) | ~c_lessequals(V_z, V_x, T_a) )).
% 13.72/13.93 cnf(matrix-302, plain, ( ~class_Orderings_Olinorder(T_a) | c_lessequals(V_x, c_Orderings_Oord__class_Omax(V_a, V_b, T_a), T_a) | ~c_lessequals(V_x, V_b, T_a) )).
% 13.72/13.93 cnf(matrix-303, plain, ( ~class_Orderings_Olinorder(T_a) | c_lessequals(V_x, c_Orderings_Oord__class_Omax(V_a, V_b, T_a), T_a) | ~c_lessequals(V_x, V_a, T_a) )).
% 13.72/13.93 cnf(matrix-304, plain, ( ~class_Orderings_Olinorder(T_a) | c_lessequals(V_b, V_x, T_a) | ~c_lessequals(c_Orderings_Oord__class_Omax(V_a, V_b, T_a), V_x, T_a) )).
% 13.72/13.93 cnf(matrix-305, plain, ( ~class_Orderings_Olinorder(T_a) | c_lessequals(V_a, V_x, T_a) | ~c_lessequals(c_Orderings_Oord__class_Omax(V_a, V_b, T_a), V_x, T_a) )).
% 13.72/13.93 cnf(matrix-306, plain, ( c_lessequals(V_j, hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat), V_i), V_k), tc_nat) | ~c_lessequals(c_HOL_Ominus__class_Ominus(V_j, V_k, tc_nat), V_i, tc_nat) )).
% 13.72/13.93 cnf(matrix-307, plain, ( c_lessequals(c_HOL_Ominus__class_Ominus(V_j, V_k, tc_nat), V_i, tc_nat) | ~c_lessequals(V_j, hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat), V_i), V_k), tc_nat) )).
% 13.72/13.93 cnf(matrix-308, plain, ( ~class_Orderings_Olinorder(T_a) | c_HOL_Oord__class_Oless(V_z, V_y, T_a) | c_HOL_Oord__class_Oless(V_z, V_x, T_a) | ~c_HOL_Oord__class_Oless(V_z, c_Orderings_Oord__class_Omax(V_x, V_y, T_a), T_a) )).
% 13.72/13.93 cnf(matrix-309, plain, ( c_Com_OWT(c_Com_Ocom_OCond(V_b, V_c0, V_c1)) | ~c_Com_OWT(V_c1) | ~c_Com_OWT(V_c0) )).
% 13.72/13.93 cnf(matrix-310, 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) )).
% 13.72/13.93 cnf(matrix-311, plain, ( ( c_Com_Ocom_OLocal(V_loc, V_fun, V_com) != c_Com_Ocom_OWhile(V_fun_H, V_com_H)) )).
% 13.72/13.93 cnf(matrix-312, plain, ( ~class_Orderings_Olinorder(T_a) | c_HOL_Oord__class_Oless(V_y, V_z, T_a) | c_HOL_Oord__class_Oless(V_x, V_z, T_a) | ~c_HOL_Oord__class_Oless(c_Orderings_Oord__class_Omin(V_x, V_y, T_a), V_z, T_a) )).
% 13.72/13.93 cnf(matrix-313, plain, ( ~class_OrderedGroup_Opordered__comm__monoid__add(T_a) | c_HOL_Oord__class_Oless(hAPP(hAPP(c_HOL_Oplus__class_Oplus(T_a), V_a), V_b), c_HOL_Ozero__class_Ozero(T_a), T_a) | ~c_HOL_Oord__class_Oless(V_b, c_HOL_Ozero__class_Ozero(T_a), T_a) | ~c_lessequals(V_a, c_HOL_Ozero__class_Ozero(T_a), T_a) )).
% 13.72/13.93 cnf(matrix-314, plain, ( ~class_OrderedGroup_Opordered__comm__monoid__add(T_a) | c_HOL_Oord__class_Oless(hAPP(hAPP(c_HOL_Oplus__class_Oplus(T_a), V_a), V_b), c_HOL_Ozero__class_Ozero(T_a), T_a) | ~c_lessequals(V_b, c_HOL_Ozero__class_Ozero(T_a), T_a) | ~c_HOL_Oord__class_Oless(V_a, c_HOL_Ozero__class_Ozero(T_a), T_a) )).
% 13.72/13.93 cnf(matrix-315, plain, ( ( c_HOL_Ominus__class_Ominus(hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat), V_i), V_j), V_k, tc_nat) = hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat), V_i), c_HOL_Ominus__class_Ominus(V_j, V_k, tc_nat))) | ~c_lessequals(V_k, V_j, tc_nat) )).
% 13.72/13.93 cnf(matrix-316, plain, ( ( c_HOL_Ominus__class_Ominus(hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat), V_j), V_i), V_k, tc_nat) = hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat), c_HOL_Ominus__class_Ominus(V_j, V_k, tc_nat)), V_i)) | ~c_lessequals(V_k, V_j, tc_nat) )).
% 13.72/13.93 cnf(matrix-317, plain, ( ( c_Com_Ocom_OAss(V_vname, V_fun) != c_Com_Ocom_OCond(V_fun_H, V_com1_H, V_com2_H)) )).
% 13.72/13.93 cnf(matrix-318, plain, ( c_Hoare__Mirabelle_Ohoare__derivs(V_G, c_Set_Oinsert(c_Hoare__Mirabelle_Otriple_Otriple(V_P, c_Com_Ocom_OSemi(V_c, V_d), V_R, T_a), c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(T_a), tc_bool)), tc_Hoare__Mirabelle_Otriple(T_a)), T_a) | ~c_Hoare__Mirabelle_Ohoare__derivs(V_G, c_Set_Oinsert(c_Hoare__Mirabelle_Otriple_Otriple(V_Q, V_d, V_R, T_a), c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(T_a), tc_bool)), tc_Hoare__Mirabelle_Otriple(T_a)), T_a) | ~c_Hoare__Mirabelle_Ohoare__derivs(V_G, c_Set_Oinsert(c_Hoare__Mirabelle_Otriple_Otriple(V_P, V_c, V_Q, T_a), c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(T_a), tc_bool)), tc_Hoare__Mirabelle_Otriple(T_a)), T_a) )).
% 13.72/13.93 cnf(matrix-319, 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) )).
% 13.72/13.93 cnf(matrix-320, plain, ( ( c_Com_Ocom_OSKIP != c_Com_Ocom_OWhile(V_fun_H, V_com_H)) )).
% 13.72/13.93 cnf(matrix-321, plain, ( ~class_Orderings_Olinorder(T_a) | ( c_Orderings_Oord__class_Omin(V_x, c_Orderings_Oord__class_Omin(V_y, V_z, T_a), T_a) = c_Orderings_Oord__class_Omin(V_y, c_Orderings_Oord__class_Omin(V_x, V_z, T_a), T_a)) )).
% 13.72/13.93 cnf(matrix-322, plain, ( ( hAPP(c_Suc, c_HOL_Ozero__class_Ozero(tc_nat)) = hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat), c_HOL_Ozero__class_Ozero(tc_nat)), hAPP(c_Suc, c_HOL_Ozero__class_Ozero(tc_nat)))) )).
% 13.72/13.93 cnf(matrix-323, plain, ( ~class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(T_a) | ~class_OrderedGroup_Ocomm__monoid__add(T_a) | c_HOL_Oord__class_Oless(V_b, hAPP(hAPP(c_HOL_Oplus__class_Oplus(T_a), V_a), V_c), T_a) | ~c_HOL_Oord__class_Oless(V_b, V_c, T_a) | ~c_lessequals(c_HOL_Ozero__class_Ozero(T_a), V_a, T_a) )).
% 13.72/13.93 cnf(matrix-324, plain, ( c_lessequals(c_HOL_Ominus__class_Ominus(V_l, V_n, tc_nat), c_HOL_Ominus__class_Ominus(V_l, V_m, tc_nat), tc_nat) | ~c_lessequals(V_m, V_n, tc_nat) )).
% 13.72/13.93 cnf(matrix-325, plain, ( c_lessequals(c_HOL_Ominus__class_Ominus(V_m, V_l, tc_nat), c_HOL_Ominus__class_Ominus(V_n, V_l, tc_nat), tc_nat) | ~c_lessequals(V_m, V_n, tc_nat) )).
% 13.72/13.93 cnf(matrix-326, plain, ( c_lessequals(c_HOL_Ominus__class_Ominus(V_m, V_k, tc_nat), c_HOL_Ominus__class_Ominus(V_n, V_k, tc_nat), tc_nat) | ~c_lessequals(V_m, V_n, tc_nat) | ~c_lessequals(V_k, V_n, tc_nat) | ~c_lessequals(V_k, V_m, tc_nat) )).
% 13.72/13.93 cnf(matrix-327, plain, ( c_lessequals(V_m, V_n, tc_nat) | ~c_lessequals(c_HOL_Ominus__class_Ominus(V_m, V_k, tc_nat), c_HOL_Ominus__class_Ominus(V_n, V_k, tc_nat), tc_nat) | ~c_lessequals(V_k, V_n, tc_nat) | ~c_lessequals(V_k, V_m, tc_nat) )).
% 13.72/13.93 cnf(matrix-328, plain, ( ( c_HOL_Ominus__class_Ominus(V_n, hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat), V_n), V_m), tc_nat) = c_HOL_Ozero__class_Ozero(tc_nat)) )).
% 13.72/13.93 cnf(matrix-329, plain, ( ( c_HOL_Ominus__class_Ominus(c_HOL_Ominus__class_Ominus(V_i, V_j, tc_nat), V_k, tc_nat) = c_HOL_Ominus__class_Ominus(V_i, hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat), V_j), V_k), tc_nat)) )).
% 13.72/13.93 cnf(matrix-330, 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)) )).
% 13.72/13.93 cnf(matrix-331, plain, ( ( c_Option_Ooption_ONone(T_a) != c_Option_Ooption_OSome(V_y, T_a)) )).
% 13.72/13.93 cnf(matrix-332, plain, ( ( c_Option_Ooption_ONone(T_a) != c_Option_Ooption_OSome(V_a_H, T_a)) )).
% 13.72/13.93 cnf(matrix-333, plain, ( c_Natural_Oevalc(c_Com_Ocom_OWhile(V_b, V_c), V_s0, V_s2) | ~c_Natural_Oevalc(c_Com_Ocom_OWhile(V_b, V_c), V_s1, V_s2) | ~c_Natural_Oevalc(V_c, V_s0, V_s1) | ~hBOOL(hAPP(V_b, V_s0)) )).
% 13.72/13.93 cnf(matrix-334, 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)) )).
% 13.72/13.93 cnf(matrix-335, 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) )).
% 13.72/13.93 cnf(matrix-336, 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) )).
% 13.72/13.93 cnf(matrix-337, plain, ( ( c_HOL_Ominus__class_Ominus(V_m, V_k, tc_nat) != c_HOL_Ominus__class_Ominus(V_n, V_k, tc_nat)) | ~c_lessequals(V_k, V_n, tc_nat) | ~c_lessequals(V_k, V_m, tc_nat) | ( V_m = V_n) )).
% 13.72/13.93 cnf(matrix-338, 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) )).
% 13.72/13.93 cnf(matrix-339, plain, ( ~class_Orderings_Olinorder(T_a) | ( c_Orderings_Oord__class_Omin(V_x, c_Orderings_Oord__class_Omax(V_x, V_y, T_a), T_a) = V_x) )).
% 13.72/13.93 cnf(matrix-340, plain, ( ( hAPP(c_Suc, c_HOL_Ozero__class_Ozero(tc_nat)) != hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat), V_m), V_n)) | ( V_n = hAPP(c_Suc, c_HOL_Ozero__class_Ozero(tc_nat))) | ( V_n = c_HOL_Ozero__class_Ozero(tc_nat)) )).
% 13.72/13.93 cnf(matrix-341, plain, ( ( hAPP(c_Suc, c_HOL_Ozero__class_Ozero(tc_nat)) != hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat), V_m), V_n)) | ( V_m = c_HOL_Ozero__class_Ozero(tc_nat)) | ( V_m = hAPP(c_Suc, c_HOL_Ozero__class_Ozero(tc_nat))) )).
% 13.72/13.93 cnf(matrix-342, plain, ( c_Com_OWT(c_Com_Ocom_OSKIP) )).
% 13.72/13.93 cnf(matrix-343, plain, ( c_Natural_Oevalc(c_Com_Ocom_OCond(V_b, V_c0, V_c1), V_s, V_s1) | ~c_Natural_Oevalc(V_c0, V_s, V_s1) | ~hBOOL(hAPP(V_b, V_s)) )).
% 13.72/13.93 cnf(matrix-344, plain, ( ~hBOOL(hAPP(V_b, V_s)) | c_Natural_Oevalc(V_c1, V_s, V_t) | ~c_Natural_Oevalc(c_Com_Ocom_OCond(V_b, V_c1, V_c2), V_s, V_t) )).
% 13.72/13.93 cnf(matrix-345, plain, ( c_Natural_Oevalc(c_Com_Ocom_OSemi(V_c0, V_c1), V_s0, V_s2) | ~c_Natural_Oevalc(V_c1, V_s1, V_s2) | ~c_Natural_Oevalc(V_c0, V_s0, V_s1) )).
% 13.72/13.93 cnf(matrix-346, plain, ( c_Com_OWT(c_Com_Ocom_OAss(V_X, V_a)) )).
% 13.72/13.93 cnf(matrix-347, plain, ( c_Fun_Oinj__on(V_f, c_Orderings_Obot__class_Obot(tc_fun(T_a, tc_bool)), T_a, T_b) )).
% 13.72/13.93 cnf(matrix-348, plain, ( ( c_HOL_Ominus__class_Ominus(c_HOL_Ozero__class_Ozero(tc_nat), V_n, tc_nat) = c_HOL_Ozero__class_Ozero(tc_nat)) )).
% 13.72/13.93 cnf(matrix-349, plain, ( ( c_HOL_Ominus__class_Ominus(hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat), V_m), V_k), hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat), V_n), V_k), tc_nat) = c_HOL_Ominus__class_Ominus(V_m, V_n, tc_nat)) )).
% 13.72/13.93 cnf(matrix-350, plain, ( ( c_HOL_Ominus__class_Ominus(hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat), V_k), V_m), hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat), V_k), V_n), tc_nat) = c_HOL_Ominus__class_Ominus(V_m, V_n, tc_nat)) )).
% 13.72/13.93 cnf(matrix-351, plain, ( c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat), hAPP(c_Suc, V_n), tc_nat) )).
% 13.72/13.93 cnf(matrix-352, plain, ( c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat), hAPP(c_Suc, V_x), tc_nat) )).
% 13.72/13.93 cnf(matrix-353, plain, ( c_Com_OWT(c_Com_Ocom_OCall(V_X, V_pn, V_a)) | ~c_Com_OWT(c_Com_Ocom_OBODY(V_pn)) )).
% 13.72/13.93 cnf(matrix-354, plain, ( c_Com_OWT(c_Com_Ocom_OBODY(V_P)) | ~c_Com_OWT(c_Com_Ocom_OCall(V_X, V_P, V_a)) )).
% 13.72/13.93 cnf(matrix-355, plain, ( ~class_Orderings_Olinorder(T_a) | c_HOL_Oord__class_Oless(V_x, c_Orderings_Oord__class_Omax(V_a, V_b, T_a), T_a) | ~c_HOL_Oord__class_Oless(V_x, V_a, T_a) )).
% 13.72/13.93 cnf(matrix-356, plain, ( ~class_Orderings_Olinorder(T_a) | c_HOL_Oord__class_Oless(V_x, c_Orderings_Oord__class_Omax(V_a, V_b, T_a), T_a) | ~c_HOL_Oord__class_Oless(V_x, V_b, T_a) )).
% 13.72/13.93 cnf(matrix-357, plain, ( ~class_Orderings_Olinorder(T_a) | c_HOL_Oord__class_Oless(V_z, c_Orderings_Oord__class_Omax(V_x, V_y, T_a), T_a) | ~c_HOL_Oord__class_Oless(V_z, V_x, T_a) )).
% 13.72/13.93 cnf(matrix-358, plain, ( ~class_Orderings_Olinorder(T_a) | c_HOL_Oord__class_Oless(V_z, c_Orderings_Oord__class_Omax(V_x, V_y, T_a), T_a) | ~c_HOL_Oord__class_Oless(V_z, V_y, T_a) )).
% 13.72/13.93 cnf(matrix-359, plain, ( ~class_Orderings_Olinorder(T_a) | c_HOL_Oord__class_Oless(V_x, V_z, T_a) | ~c_HOL_Oord__class_Oless(c_Orderings_Oord__class_Omax(V_x, V_y, T_a), V_z, T_a) )).
% 13.72/13.93 cnf(matrix-360, plain, ( ~class_Orderings_Olinorder(T_a) | c_HOL_Oord__class_Oless(V_y, V_z, T_a) | ~c_HOL_Oord__class_Oless(c_Orderings_Oord__class_Omax(V_x, V_y, T_a), V_z, T_a) )).
% 13.72/13.93 cnf(matrix-361, plain, ( ~class_Orderings_Olinorder(T_a) | ( c_Orderings_Oord__class_Omin(V_x, V_y, T_a) = c_Orderings_Oord__class_Omin(V_y, V_x, T_a)) )).
% 13.72/13.93 cnf(matrix-362, plain, ( ( c_Com_Ocom_OSKIP != c_Com_Ocom_OCond(V_fun_H, V_com1_H, V_com2_H)) )).
% 13.72/13.93 cnf(matrix-363, plain, ( ( c_Com_Ocom_OAss(V_vname, V_fun) != c_Com_Ocom_OCall(V_vname_H, V_pname_H, V_fun_H)) )).
% 13.72/13.93 cnf(matrix-364, plain, ( c_lessequals(c_HOL_Ominus__class_Ominus(V_m, V_n, tc_nat), V_m, tc_nat) )).
% 13.72/13.93 cnf(matrix-365, 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) )).
% 13.72/13.93 cnf(matrix-366, plain, ( ~class_OrderedGroup_Opordered__comm__monoid__add(T_a) | c_HOL_Oord__class_Oless(hAPP(hAPP(c_HOL_Oplus__class_Oplus(T_a), V_a), V_b), c_HOL_Ozero__class_Ozero(T_a), T_a) | ~c_HOL_Oord__class_Oless(V_b, c_HOL_Ozero__class_Ozero(T_a), T_a) | ~c_HOL_Oord__class_Oless(V_a, c_HOL_Ozero__class_Ozero(T_a), T_a) )).
% 13.72/13.93 cnf(matrix-367, 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) )).
% 13.72/13.93 cnf(matrix-368, 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) )).
% 13.72/13.93 cnf(matrix-369, 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) )).
% 13.72/13.93 cnf(matrix-370, plain, ( ~class_Orderings_Olinorder(T_a) | c_HOL_Oord__class_Oless(c_Orderings_Oord__class_Omin(V_a, V_b, T_a), V_x, T_a) | ~c_HOL_Oord__class_Oless(V_a, V_x, T_a) )).
% 13.72/13.93 cnf(matrix-371, plain, ( ~class_Orderings_Olinorder(T_a) | c_HOL_Oord__class_Oless(c_Orderings_Oord__class_Omin(V_a, V_b, T_a), V_x, T_a) | ~c_HOL_Oord__class_Oless(V_b, V_x, T_a) )).
% 13.72/13.93 cnf(matrix-372, plain, ( ~class_Orderings_Olinorder(T_a) | c_HOL_Oord__class_Oless(V_z, V_x, T_a) | ~c_HOL_Oord__class_Oless(V_z, c_Orderings_Oord__class_Omin(V_x, V_y, T_a), T_a) )).
% 13.72/13.93 cnf(matrix-373, plain, ( ~class_Orderings_Olinorder(T_a) | c_HOL_Oord__class_Oless(V_z, V_y, T_a) | ~c_HOL_Oord__class_Oless(V_z, c_Orderings_Oord__class_Omin(V_x, V_y, T_a), T_a) )).
% 13.72/13.93 cnf(matrix-374, plain, ( ~class_Orderings_Olinorder(T_a) | c_HOL_Oord__class_Oless(c_Orderings_Oord__class_Omin(V_x, V_y, T_a), V_z, T_a) | ~c_HOL_Oord__class_Oless(V_x, V_z, T_a) )).
% 13.72/13.93 cnf(matrix-375, plain, ( ~class_Orderings_Olinorder(T_a) | c_HOL_Oord__class_Oless(c_Orderings_Oord__class_Omin(V_x, V_y, T_a), V_z, T_a) | ~c_HOL_Oord__class_Oless(V_y, V_z, T_a) )).
% 13.72/13.93 cnf(matrix-376, plain, ( ( c_HOL_Ominus__class_Ominus(c_HOL_Ominus__class_Ominus(V_m, V_k, tc_nat), c_HOL_Ominus__class_Ominus(V_n, V_k, tc_nat), tc_nat) = c_HOL_Ominus__class_Ominus(V_m, V_n, tc_nat)) | ~c_lessequals(V_k, V_n, tc_nat) | ~c_lessequals(V_k, V_m, tc_nat) )).
% 13.72/13.93 cnf(matrix-377, plain, ( ( c_HOL_Ominus__class_Ominus(c_HOL_Ominus__class_Ominus(V_i, V_j, tc_nat), V_k, tc_nat) = c_HOL_Ominus__class_Ominus(c_HOL_Ominus__class_Ominus(V_i, V_k, tc_nat), V_j, tc_nat)) )).
% 13.72/13.93 cnf(matrix-378, plain, ( ( c_Set_Oinsert(V_x, V_xa, T_a) != c_Orderings_Obot__class_Obot(tc_fun(T_a, tc_bool))) | hBOOL(c_in(V_x, V_xa, T_a)) )).
% 13.72/13.93 cnf(matrix-379, plain, ( c_lessequals(c_HOL_Ozero__class_Ozero(tc_nat), V_n, tc_nat) )).
% 13.72/13.93 cnf(matrix-380, 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) )).
% 13.72/13.93 cnf(matrix-381, plain, ( ~class_OrderedGroup_Opordered__comm__monoid__add(T_a) | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(T_a), hAPP(hAPP(c_HOL_Oplus__class_Oplus(T_a), V_a), V_b), T_a) | ~c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(T_a), V_b, T_a) | ~c_lessequals(c_HOL_Ozero__class_Ozero(T_a), V_a, T_a) )).
% 13.72/13.93 cnf(matrix-382, plain, ( ~class_OrderedGroup_Opordered__comm__monoid__add(T_a) | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(T_a), hAPP(hAPP(c_HOL_Oplus__class_Oplus(T_a), V_a), V_b), T_a) | ~c_lessequals(c_HOL_Ozero__class_Ozero(T_a), V_b, T_a) | ~c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(T_a), V_a, T_a) )).
% 13.72/13.93 cnf(matrix-383, plain, ( ~class_Orderings_Oorder(T_a) | c_lessequals(hAPP(V_f, V_n), hAPP(V_f, hAPP(c_Suc, V_n)), T_a) | ~c_Orderings_Oorder__class_Omono(V_f, tc_nat, T_a) )).
% 13.72/13.93 cnf(matrix-384, plain, ( c_HOL_Oord__class_Oless(c_HOL_Ominus__class_Ominus(V_a, V_c, tc_nat), c_HOL_Ominus__class_Ominus(V_b, V_c, tc_nat), tc_nat) | ~c_lessequals(V_c, V_a, tc_nat) | ~c_HOL_Oord__class_Oless(V_a, V_b, tc_nat) )).
% 13.72/13.93 cnf(matrix-385, plain, ( ( c_Com_Ocom_OCall(V_vname_H, V_pname_H, V_fun_H) != c_Com_Ocom_OLocal(V_loc, V_fun, V_com)) )).
% 13.72/13.93 cnf(matrix-386, plain, ( ( c_Com_Ocom_OCall(V_vname_H, V_pname_H, V_fun_H) != c_Com_Ocom_OWhile(V_fun, V_com)) )).
% 13.72/13.93 cnf(matrix-387, plain, ( hBOOL(hAPP(c_Set_Oinsert(V_y, V_A, T_a), V_x)) | ~hBOOL(hAPP(V_A, V_x)) )).
% 13.72/13.93 cnf(matrix-388, plain, ( ( hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat), V_x), V_y) != hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat), V_x), V_z)) | ( V_y = V_z) )).
% 13.72/13.93 cnf(matrix-389, plain, ( ( hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat), V_m), V_k) != hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat), V_n), V_k)) | ( V_m = V_n) )).
% 13.72/13.93 cnf(matrix-390, plain, ( ( hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat), V_k), V_m) != hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat), V_k), V_n)) | ( V_m = V_n) )).
% 13.72/13.93 cnf(matrix-391, plain, ( ~class_Ring__and__Field_Oidom(T_a) | ~class_Int_Onumber__ring(T_a) | ( hAPP(hAPP(c_HOL_Oplus__class_Oplus(T_a), V_x), V_y) != hAPP(hAPP(c_HOL_Oplus__class_Oplus(T_a), V_x), V_z)) | ( V_y = V_z) )).
% 13.72/13.93 cnf(matrix-392, plain, ( ~class_OrderedGroup_Ocancel__ab__semigroup__add(T_a) | ( hAPP(hAPP(c_HOL_Oplus__class_Oplus(T_a), V_a), V_b) != hAPP(hAPP(c_HOL_Oplus__class_Oplus(T_a), V_a), V_c)) | ( V_b = V_c) )).
% 13.72/13.93 cnf(matrix-393, plain, ( ~class_OrderedGroup_Ocancel__semigroup__add(T_a) | ( hAPP(hAPP(c_HOL_Oplus__class_Oplus(T_a), V_a), V_b) != hAPP(hAPP(c_HOL_Oplus__class_Oplus(T_a), V_a), V_c)) | ( V_b = V_c) )).
% 13.72/13.93 cnf(matrix-394, plain, ( ~class_OrderedGroup_Ocancel__semigroup__add(T_a) | ( hAPP(hAPP(c_HOL_Oplus__class_Oplus(T_a), V_b), V_a) != hAPP(hAPP(c_HOL_Oplus__class_Oplus(T_a), V_c), V_a)) | ( V_b = V_c) )).
% 13.72/13.93 cnf(matrix-395, plain, ( c_lessequals(c_Divides_Odiv__class_Omod(V_m, V_n, tc_nat), V_m, tc_nat) )).
% 13.72/13.93 cnf(matrix-396, plain, ( ~class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(T_a) | ( hAPP(hAPP(c_HOL_Oplus__class_Oplus(T_a), c_Orderings_Oord__class_Omin(V_x, V_y, T_a)), V_z) = c_Orderings_Oord__class_Omin(hAPP(hAPP(c_HOL_Oplus__class_Oplus(T_a), V_x), V_z), hAPP(hAPP(c_HOL_Oplus__class_Oplus(T_a), V_y), V_z), T_a)) )).
% 13.72/13.93 cnf(matrix-397, plain, ( c_lessequals(V_m, c_HOL_Ominus__class_Ominus(hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat), V_n), V_m), V_k, tc_nat), tc_nat) | ~c_lessequals(V_k, V_n, tc_nat) )).
% 13.72/13.93 cnf(matrix-398, plain, ( ~class_Divides_Oring__div(T_a) | ( c_Divides_Odiv__class_Omod(c_HOL_Ominus__class_Ominus(V_a, V_b, T_a), V_c, T_a) = c_Divides_Odiv__class_Omod(c_HOL_Ominus__class_Ominus(c_Divides_Odiv__class_Omod(V_a, V_c, T_a), c_Divides_Odiv__class_Omod(V_b, V_c, T_a), T_a), V_c, T_a)) )).
% 13.72/13.93 cnf(matrix-399, plain, ( ( hAPP(hAPP(V_pwr, hAPP(hAPP(V_mul, V_x), V_y)), V_q) = hAPP(hAPP(V_mul, hAPP(hAPP(V_pwr, V_x), V_q)), hAPP(hAPP(V_pwr, V_y), V_q))) | ~c_Groebner__Basis_Ogb__semiring(V_add, V_mul, V_pwr, V_r0, V_r1, T_a) )).
% 13.72/13.93 cnf(matrix-400, plain, ( ( hAPP(hAPP(V_mul, V_x), hAPP(hAPP(V_add, V_y), V_z)) = hAPP(hAPP(V_add, hAPP(hAPP(V_mul, V_x), V_y)), hAPP(hAPP(V_mul, V_x), V_z))) | ~c_Groebner__Basis_Ogb__semiring(V_add, V_mul, V_pwr, V_r0, V_r1, T_a) )).
% 13.72/13.93 cnf(matrix-401, plain, ( ( hAPP(hAPP(V_mul, V_x), V_y) = hAPP(hAPP(V_mul, V_y), V_x)) | ~c_Groebner__Basis_Ogb__semiring(V_add, V_mul, V_pwr, V_r0, V_r1, T_a) )).
% 13.72/13.93 cnf(matrix-402, plain, ( ( hAPP(hAPP(V_mul, V_x), hAPP(hAPP(V_mul, V_y), V_z)) = hAPP(hAPP(V_mul, hAPP(hAPP(V_mul, V_x), V_y)), V_z)) | ~c_Groebner__Basis_Ogb__semiring(V_add, V_mul, V_pwr, V_r0, V_r1, T_a) )).
% 13.72/13.93 cnf(matrix-403, plain, ( ( hAPP(hAPP(V_mul, V_r1), V_x) = V_x) | ~c_Groebner__Basis_Ogb__semiring(V_add, V_mul, V_pwr, V_r0, V_r1, T_a) )).
% 13.72/13.93 cnf(matrix-404, plain, ( ( hAPP(hAPP(V_mul, V_r0), V_x) = V_r0) | ~c_Groebner__Basis_Ogb__semiring(V_add, V_mul, V_pwr, V_r0, V_r1, T_a) )).
% 13.72/13.93 cnf(matrix-405, plain, ( ( hAPP(hAPP(V_add, V_x), V_y) = hAPP(hAPP(V_add, V_y), V_x)) | ~c_Groebner__Basis_Ogb__semiring(V_add, V_mul, V_pwr, V_r0, V_r1, T_a) )).
% 13.72/13.93 cnf(matrix-406, plain, ( ( hAPP(hAPP(V_add, V_x), hAPP(hAPP(V_add, V_y), V_z)) = hAPP(hAPP(V_add, hAPP(hAPP(V_add, V_x), V_y)), V_z)) | ~c_Groebner__Basis_Ogb__semiring(V_add, V_mul, V_pwr, V_r0, V_r1, T_a) )).
% 13.72/13.93 cnf(matrix-407, plain, ( ( hAPP(hAPP(V_add, V_r0), V_x) = V_x) | ~c_Groebner__Basis_Ogb__semiring(V_add, V_mul, V_pwr, V_r0, V_r1, T_a) )).
% 13.72/13.93 cnf(matrix-408, plain, ( ( hAPP(hAPP(V_add, V_a), hAPP(hAPP(V_add, V_c), V_d)) = hAPP(hAPP(V_add, hAPP(hAPP(V_add, V_a), V_c)), V_d)) | ~c_Groebner__Basis_Ogb__semiring(V_add, V_mul, V_pwr, V_r0, V_r1, T_a) )).
% 13.72/13.93 cnf(matrix-409, plain, ( ( hAPP(hAPP(V_add, V_a), V_c) = hAPP(hAPP(V_add, V_c), V_a)) | ~c_Groebner__Basis_Ogb__semiring(V_add, V_mul, V_pwr, V_r0, V_r1, T_a) )).
% 13.72/13.93 cnf(matrix-410, plain, ( ( hAPP(hAPP(V_add, hAPP(hAPP(V_add, V_a), V_b)), V_c) = hAPP(hAPP(V_add, hAPP(hAPP(V_add, V_a), V_c)), V_b)) | ~c_Groebner__Basis_Ogb__semiring(V_add, V_mul, V_pwr, V_r0, V_r1, T_a) )).
% 13.72/13.93 cnf(matrix-411, plain, ( ( hAPP(hAPP(V_add, V_a), hAPP(hAPP(V_add, V_c), V_d)) = hAPP(hAPP(V_add, V_c), hAPP(hAPP(V_add, V_a), V_d))) | ~c_Groebner__Basis_Ogb__semiring(V_add, V_mul, V_pwr, V_r0, V_r1, T_a) )).
% 13.72/13.93 cnf(matrix-412, plain, ( ( hAPP(hAPP(V_add, hAPP(hAPP(V_add, V_a), V_b)), V_c) = hAPP(hAPP(V_add, V_a), hAPP(hAPP(V_add, V_b), V_c))) | ~c_Groebner__Basis_Ogb__semiring(V_add, V_mul, V_pwr, V_r0, V_r1, T_a) )).
% 13.72/13.93 cnf(matrix-413, plain, ( ( hAPP(hAPP(V_add, hAPP(hAPP(V_add, V_a), V_b)), hAPP(hAPP(V_add, V_c), V_d)) = hAPP(hAPP(V_add, hAPP(hAPP(V_add, V_a), V_c)), hAPP(hAPP(V_add, V_b), V_d))) | ~c_Groebner__Basis_Ogb__semiring(V_add, V_mul, V_pwr, V_r0, V_r1, T_a) )).
% 13.72/13.93 cnf(matrix-414, plain, ( ( hAPP(hAPP(V_mul, V_lx), hAPP(hAPP(V_mul, V_rx), V_ry)) = hAPP(hAPP(V_mul, V_rx), hAPP(hAPP(V_mul, V_lx), V_ry))) | ~c_Groebner__Basis_Ogb__semiring(V_add, V_mul, V_pwr, V_r0, V_r1, T_a) )).
% 13.72/13.93 cnf(matrix-415, plain, ( ( hAPP(hAPP(V_mul, V_lx), hAPP(hAPP(V_mul, V_rx), V_ry)) = hAPP(hAPP(V_mul, hAPP(hAPP(V_mul, V_lx), V_rx)), V_ry)) | ~c_Groebner__Basis_Ogb__semiring(V_add, V_mul, V_pwr, V_r0, V_r1, T_a) )).
% 13.72/13.93 cnf(matrix-416, plain, ( ( hAPP(hAPP(V_mul, hAPP(hAPP(V_mul, V_lx), V_ly)), V_rx) = hAPP(hAPP(V_mul, V_lx), hAPP(hAPP(V_mul, V_ly), V_rx))) | ~c_Groebner__Basis_Ogb__semiring(V_add, V_mul, V_pwr, V_r0, V_r1, T_a) )).
% 13.72/13.93 cnf(matrix-417, plain, ( ( hAPP(hAPP(V_mul, hAPP(hAPP(V_mul, V_lx), V_ly)), V_rx) = hAPP(hAPP(V_mul, hAPP(hAPP(V_mul, V_lx), V_rx)), V_ly)) | ~c_Groebner__Basis_Ogb__semiring(V_add, V_mul, V_pwr, V_r0, V_r1, T_a) )).
% 13.72/13.93 cnf(matrix-418, plain, ( ( hAPP(hAPP(V_mul, hAPP(hAPP(V_mul, V_lx), V_ly)), hAPP(hAPP(V_mul, V_rx), V_ry)) = hAPP(hAPP(V_mul, V_rx), hAPP(hAPP(V_mul, hAPP(hAPP(V_mul, V_lx), V_ly)), V_ry))) | ~c_Groebner__Basis_Ogb__semiring(V_add, V_mul, V_pwr, V_r0, V_r1, T_a) )).
% 13.72/13.93 cnf(matrix-419, plain, ( ( hAPP(hAPP(V_mul, hAPP(hAPP(V_mul, V_lx), V_ly)), hAPP(hAPP(V_mul, V_rx), V_ry)) = hAPP(hAPP(V_mul, V_lx), hAPP(hAPP(V_mul, V_ly), hAPP(hAPP(V_mul, V_rx), V_ry)))) | ~c_Groebner__Basis_Ogb__semiring(V_add, V_mul, V_pwr, V_r0, V_r1, T_a) )).
% 13.72/13.93 cnf(matrix-420, plain, ( ( hAPP(hAPP(V_mul, hAPP(hAPP(V_mul, V_lx), V_ly)), hAPP(hAPP(V_mul, V_rx), V_ry)) = hAPP(hAPP(V_mul, hAPP(hAPP(V_mul, V_lx), V_rx)), hAPP(hAPP(V_mul, V_ly), V_ry))) | ~c_Groebner__Basis_Ogb__semiring(V_add, V_mul, V_pwr, V_r0, V_r1, T_a) )).
% 13.72/13.93 cnf(matrix-421, plain, ( ~hBOOL(hAPP(c_Orderings_Obot__class_Obot(tc_fun(T_a, tc_bool)), V_x)) )).
% 13.72/13.93 cnf(matrix-422, plain, ( ( c_HOL_Ominus__class_Ominus(V_i, c_HOL_Ominus__class_Ominus(V_j, V_k, tc_nat), tc_nat) = c_HOL_Ominus__class_Ominus(hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat), V_i), V_k), V_j, tc_nat)) | ~c_lessequals(V_k, V_j, tc_nat) )).
% 13.72/13.93 cnf(matrix-423, plain, ( ( c_Divides_Odiv__class_Omod(V_m, hAPP(c_Suc, c_HOL_Ozero__class_Ozero(tc_nat)), tc_nat) = c_HOL_Ozero__class_Ozero(tc_nat)) )).
% 13.72/13.93 cnf(matrix-424, plain, ( ( c_Com_Ocom_OSKIP != c_Com_Ocom_OLocal(V_loc_H, V_fun_H, V_com_H)) )).
% 13.72/13.93 cnf(matrix-425, plain, ( ~class_OrderedGroup_Ocomm__monoid__add(T_a) | ( c_Power_Opower_Opower(c_HOL_Ozero__class_Ozero(T_a), c_HOL_Oplus__class_Oplus(T_a), V_a, c_HOL_Ozero__class_Ozero(tc_nat), T_a) = c_HOL_Ozero__class_Ozero(T_a)) )).
% 13.72/13.93 cnf(matrix-426, plain, ( ~class_OrderedGroup_Ocomm__monoid__add(T_a) | ( c_Power_Opower_Opower(c_HOL_Ozero__class_Ozero(T_a), c_HOL_Oplus__class_Oplus(T_a), c_HOL_Ozero__class_Ozero(T_a), V_n, T_a) = c_HOL_Ozero__class_Ozero(T_a)) )).
% 13.72/13.93 cnf(matrix-427, plain, ( c_HOL_Oord__class_Oless(c_HOL_Ominus__class_Ominus(V_j, V_n, tc_nat), V_k, tc_nat) | ~c_HOL_Oord__class_Oless(V_j, V_k, tc_nat) )).
% 13.72/13.93 cnf(matrix-428, plain, ( ( c_Divides_Odiv__class_Omod(V_m, V_n, tc_nat) = V_m) | ~c_HOL_Oord__class_Oless(V_m, V_n, tc_nat) )).
% 13.72/13.93 cnf(matrix-429, plain, ( ( hAPP(c_Suc, c_HOL_Ozero__class_Ozero(tc_nat)) = hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat), hAPP(c_Suc, c_HOL_Ozero__class_Ozero(tc_nat))), c_HOL_Ozero__class_Ozero(tc_nat))) )).
% 13.72/13.93 cnf(matrix-430, plain, ( ~class_Orderings_Opreorder(T_a) | c_HOL_Oord__class_Oless(V_x, V_y, T_a) | c_lessequals(V_y, V_x, T_a) | ~c_lessequals(V_x, V_y, T_a) )).
% 13.72/13.93 cnf(matrix-431, plain, ( ~c_HOL_Oord__class_Oless(V_x, V_x, tc_nat) )).
% 13.72/13.93 cnf(matrix-432, plain, ( ~c_HOL_Oord__class_Oless(V_n, V_n, tc_nat) )).
% 13.72/13.93 cnf(matrix-433, plain, ( ~class_Orderings_Oorder(T_a) | ~c_HOL_Oord__class_Oless(V_x, V_x, T_a) )).
% 13.72/13.93 cnf(matrix-434, plain, ( ~class_Orderings_Olinorder(T_a) | ~c_HOL_Oord__class_Oless(V_x, V_x, T_a) )).
% 13.72/13.93 cnf(matrix-435, plain, ( ~class_Orderings_Opreorder(T_a) | ~c_HOL_Oord__class_Oless(V_x, V_x, T_a) )).
% 13.72/13.93 cnf(matrix-436, plain, ( ~c_lessequals(V_i, hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat), V_k), V_i), tc_nat) | ( c_HOL_Ominus__class_Ominus(hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat), V_k), V_i), V_i, tc_nat) = V_k) )).
% 13.72/13.93 cnf(matrix-437, plain, ( ~class_Orderings_Olinorder(T_a) | ( c_Orderings_Oord__class_Omin(V_x, V_x, T_a) = V_x) )).
% 13.72/13.93 cnf(matrix-438, plain, ( ( V_n = c_HOL_Ozero__class_Ozero(tc_nat)) | ~c_lessequals(V_n, c_HOL_Ozero__class_Ozero(tc_nat), tc_nat) )).
% 13.72/13.93 cnf(matrix-439, plain, ( ~class_OrderedGroup_Opordered__comm__monoid__add(T_a) | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(T_a), hAPP(hAPP(c_HOL_Oplus__class_Oplus(T_a), V_a), V_b), T_a) | ~c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(T_a), V_b, T_a) | ~c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(T_a), V_a, T_a) )).
% 13.72/13.93 cnf(matrix-440, plain, ( c_lessequals(V_n, hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat), V_n), V_m), tc_nat) )).
% 13.72/13.93 cnf(matrix-441, plain, ( c_lessequals(V_n, hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat), V_m), V_n), tc_nat) )).
% 13.72/13.93 cnf(matrix-442, plain, ( c_lessequals(V_m, hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat), V_m), V_x), tc_nat) )).
% 13.72/13.93 cnf(matrix-443, plain, ( ( hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat), c_HOL_Ominus__class_Ominus(V_n, V_m, tc_nat)), V_m) = c_Orderings_Oord__class_Omax(V_n, V_m, tc_nat)) )).
% 13.72/13.93 cnf(matrix-444, 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) )).
% 13.72/13.93 cnf(matrix-445, 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)) )).
% 13.72/13.93 cnf(matrix-446, plain, ( ( c_Com_Ocom_OWhile(V_fun, V_com) != c_Com_Ocom_OCall(V_vname_H, V_pname_H, V_fun_H)) )).
% 13.72/13.93 cnf(matrix-447, plain, ( c_Natural_Oevalc(c_Com_Ocom_OSKIP, V_s, V_s) )).
% 13.72/13.93 cnf(matrix-448, plain, ( ( c_Com_Ocom_OSemi(V_com1_H, V_com2_H) != c_Com_Ocom_OAss(V_vname, V_fun)) )).
% 13.72/13.93 cnf(matrix-449, plain, ( ~class_Ring__and__Field_Oordered__idom(T_a) | c_HOL_Oord__class_Oless(V_y, V_x, T_a) | c_HOL_Oord__class_Oless(V_x, V_y, T_a) | ( V_x = V_y) )).
% 13.72/13.93 cnf(matrix-450, plain, ( ~class_Orderings_Olinorder(T_a) | ( V_x = V_y) | c_HOL_Oord__class_Oless(V_y, V_x, T_a) | c_HOL_Oord__class_Oless(V_x, V_y, T_a) )).
% 13.72/13.93 cnf(matrix-451, plain, ( ( V_m = V_n) | ~c_lessequals(V_n, V_m, tc_nat) | ~c_lessequals(V_m, V_n, tc_nat) )).
% 13.72/13.93 cnf(matrix-452, plain, ( c_HOL_Oord__class_Oless(V_n, V_m, tc_nat) | c_HOL_Oord__class_Oless(V_m, V_n, tc_nat) | ( V_m = V_n) )).
% 13.72/13.93 cnf(matrix-453, plain, ( ( V_u = V_t) | ~c_Natural_Oevalc(V_c, V_s, V_u) | ~c_Natural_Oevalc(V_c, V_s, V_t) )).
% 13.72/13.93 cnf(matrix-454, plain, ( hBOOL(hAPP(hAPP(V_P, V_n), V_m)) | c_HOL_Oord__class_Oless(V_n, V_m, tc_nat) | ( V_m = V_n) | c_HOL_Oord__class_Oless(V_m, V_n, tc_nat) )).
% 13.72/13.93 cnf(matrix-455, plain, ( ( c_HOL_Ominus__class_Ominus(V_n, V_m, tc_nat) != c_HOL_Ozero__class_Ozero(tc_nat)) | ( c_HOL_Ominus__class_Ominus(V_m, V_n, tc_nat) != c_HOL_Ozero__class_Ozero(tc_nat)) | ( V_m = V_n) )).
% 13.72/13.93 cnf(matrix-456, plain, ( c_HOL_Oord__class_Oless(V_y, V_x, tc_nat) | c_HOL_Oord__class_Oless(V_x, V_y, tc_nat) | ( V_x = V_y) )).
% 13.72/13.93 cnf(matrix-457, 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) )).
% 13.72/13.93 cnf(matrix-458, plain, ( ~class_Orderings_Olinorder(T_a) | c_HOL_Oord__class_Oless(V_y, V_x, T_a) | c_HOL_Oord__class_Oless(V_x, V_y, T_a) | ( V_x = V_y) )).
% 13.72/13.93 cnf(matrix-459, 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) )).
% 13.72/13.93 cnf(matrix-460, 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) )).
% 13.72/13.93 cnf(matrix-461, plain, ( ~class_Orderings_Olinorder(T_a) | c_HOL_Oord__class_Oless(V_y, V_x, T_a) | ( V_x = V_y) | c_HOL_Oord__class_Oless(V_x, V_y, T_a) )).
% 13.72/13.93 cnf(matrix-462, plain, ( ~class_Orderings_Olinorder(T_a) | ( V_x = V_y) | c_HOL_Oord__class_Oless(V_x, V_y, T_a) | c_HOL_Oord__class_Oless(V_y, V_x, T_a) )).
% 13.72/13.93 cnf(matrix-463, plain, ( ~class_Divides_Oring__div(T_a) | ( c_Divides_Odiv__class_Omod(V_b, V_c, T_a) != c_Divides_Odiv__class_Omod(V_b_H, V_c, T_a)) | ( c_Divides_Odiv__class_Omod(V_a, V_c, T_a) != c_Divides_Odiv__class_Omod(V_a_H, V_c, T_a)) | ( c_Divides_Odiv__class_Omod(c_HOL_Ominus__class_Ominus(V_a, V_b, T_a), V_c, T_a) = c_Divides_Odiv__class_Omod(c_HOL_Ominus__class_Ominus(V_a_H, V_b_H, T_a), V_c, T_a)) )).
% 13.72/13.93 cnf(matrix-464, 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) )).
% 13.72/13.93 cnf(matrix-465, 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) )).
% 13.72/13.93 cnf(matrix-466, plain, ( ( c_Com_Ocom_OLocal(V_loc_H, V_fun_H, V_com_H) != c_Com_Ocom_OSKIP) )).
% 13.72/13.93 cnf(matrix-467, plain, ( ~class_Orderings_Olinorder(T_a) | ( c_Orderings_Oord__class_Omax(V_x, V_x, T_a) = V_x) )).
% 13.72/13.93 cnf(matrix-468, plain, ( ~class_OrderedGroup_Opordered__cancel__ab__semigroup__add(T_a) | c_HOL_Oord__class_Oless(hAPP(hAPP(c_HOL_Oplus__class_Oplus(T_a), V_a), V_c), hAPP(hAPP(c_HOL_Oplus__class_Oplus(T_a), V_b), V_d), T_a) | ~c_HOL_Oord__class_Oless(V_c, V_d, T_a) | ~c_HOL_Oord__class_Oless(V_a, V_b, T_a) )).
% 13.72/13.93 cnf(matrix-469, plain, ( c_HOL_Oord__class_Oless(hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat), V_i), V_k), hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat), V_j), V_l), tc_nat) | ~c_HOL_Oord__class_Oless(V_k, V_l, tc_nat) | ~c_HOL_Oord__class_Oless(V_i, V_j, tc_nat) )).
% 13.72/13.93 cnf(matrix-470, plain, ( c_lessequals(V_x, V_y, tc_nat) | ~c_HOL_Oord__class_Oless(V_x, V_y, tc_nat) )).
% 13.72/13.93 cnf(matrix-471, plain, ( c_lessequals(V_m, V_n, tc_nat) | ~c_HOL_Oord__class_Oless(V_m, V_n, tc_nat) )).
% 13.72/13.93 cnf(matrix-472, plain, ( ~class_Orderings_Oorder(T_a) | c_lessequals(V_x, V_y, T_a) | ~c_HOL_Oord__class_Oless(V_x, V_y, T_a) )).
% 13.72/13.93 cnf(matrix-473, plain, ( ~class_Orderings_Opreorder(T_a) | c_lessequals(V_x, V_y, T_a) | ~c_HOL_Oord__class_Oless(V_x, V_y, T_a) )).
% 13.72/13.93 cnf(matrix-474, plain, ( c_Natural_Oevaln(c_Com_Ocom_OSKIP, V_s, V_n, V_s) )).
% 13.72/13.93 cnf(matrix-475, plain, ( ( c_HOL_Ominus__class_Ominus(V_m, hAPP(c_Suc, c_HOL_Ominus__class_Ominus(V_j, V_k, tc_nat)), tc_nat) = c_HOL_Ominus__class_Ominus(hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat), V_m), V_k), hAPP(c_Suc, V_j), tc_nat)) | ~c_lessequals(V_k, V_j, tc_nat) )).
% 13.72/13.93 cnf(matrix-476, plain, ( ~class_OrderedGroup_Opordered__ab__group__add(T_a) | c_HOL_Oord__class_Oless(V_a, V_b, T_a) | ~c_HOL_Oord__class_Oless(c_HOL_Ominus__class_Ominus(V_a, V_b, T_a), c_HOL_Ozero__class_Ozero(T_a), T_a) )).
% 13.72/13.93 cnf(matrix-477, plain, ( ~class_OrderedGroup_Opordered__ab__group__add(T_a) | c_HOL_Oord__class_Oless(c_HOL_Ominus__class_Ominus(V_a, V_b, T_a), c_HOL_Ozero__class_Ozero(T_a), T_a) | ~c_HOL_Oord__class_Oless(V_a, V_b, T_a) )).
% 13.72/13.93 cnf(matrix-478, 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) )).
% 13.72/13.93 cnf(matrix-479, 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) )).
% 13.72/13.93 cnf(matrix-480, 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) )).
% 13.72/13.93 cnf(matrix-481, 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) )).
% 13.72/13.93 cnf(matrix-482, plain, ( ~class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(T_a) | c_lessequals(hAPP(hAPP(c_HOL_Oplus__class_Oplus(T_a), V_a), V_c), hAPP(hAPP(c_HOL_Oplus__class_Oplus(T_a), V_b), V_c), T_a) | ~c_lessequals(V_a, V_b, T_a) )).
% 13.72/13.93 cnf(matrix-483, plain, ( ~class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(T_a) | c_lessequals(V_a, V_b, T_a) | ~c_lessequals(hAPP(hAPP(c_HOL_Oplus__class_Oplus(T_a), V_a), V_c), hAPP(hAPP(c_HOL_Oplus__class_Oplus(T_a), V_b), V_c), T_a) )).
% 13.72/13.93 cnf(matrix-484, plain, ( ~class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(T_a) | c_lessequals(hAPP(hAPP(c_HOL_Oplus__class_Oplus(T_a), V_c), V_a), hAPP(hAPP(c_HOL_Oplus__class_Oplus(T_a), V_c), V_b), T_a) | ~c_lessequals(V_a, V_b, T_a) )).
% 13.72/13.93 cnf(matrix-485, plain, ( ~class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(T_a) | c_lessequals(V_a, V_b, T_a) | ~c_lessequals(hAPP(hAPP(c_HOL_Oplus__class_Oplus(T_a), V_c), V_a), hAPP(hAPP(c_HOL_Oplus__class_Oplus(T_a), V_c), V_b), T_a) )).
% 13.72/13.93 cnf(matrix-486, plain, ( ~class_OrderedGroup_Opordered__ab__semigroup__add(T_a) | c_lessequals(hAPP(hAPP(c_HOL_Oplus__class_Oplus(T_a), V_a), V_c), hAPP(hAPP(c_HOL_Oplus__class_Oplus(T_a), V_b), V_c), T_a) | ~c_lessequals(V_a, V_b, T_a) )).
% 13.72/13.93 cnf(matrix-487, plain, ( ~class_OrderedGroup_Opordered__ab__semigroup__add(T_a) | c_lessequals(hAPP(hAPP(c_HOL_Oplus__class_Oplus(T_a), V_c), V_a), hAPP(hAPP(c_HOL_Oplus__class_Oplus(T_a), V_c), V_b), T_a) | ~c_lessequals(V_a, V_b, T_a) )).
% 13.72/13.93 cnf(matrix-488, plain, ( c_lessequals(hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat), V_i), V_k), hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat), V_j), V_k), tc_nat) | ~c_lessequals(V_i, V_j, tc_nat) )).
% 13.72/13.93 cnf(matrix-489, plain, ( c_lessequals(V_m, V_n, tc_nat) | ~c_lessequals(hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat), V_k), V_m), hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat), V_k), V_n), tc_nat) )).
% 13.72/13.93 cnf(matrix-490, plain, ( c_lessequals(hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat), V_k), V_m), hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat), V_k), V_n), tc_nat) | ~c_lessequals(V_m, V_n, tc_nat) )).
% 13.72/13.93 cnf(matrix-491, plain, ( c_Natural_Oevalc(V_c2, V_s, V_t) | hBOOL(hAPP(V_b, V_s)) | ~c_Natural_Oevalc(c_Com_Ocom_OCond(V_b, V_c1, V_c2), V_s, V_t) )).
% 13.72/13.93 cnf(matrix-492, plain, ( c_Natural_Oevalc(c_Com_Ocom_OCond(V_b, V_c0, V_c1), V_s, V_s1) | ~c_Natural_Oevalc(V_c1, V_s, V_s1) | hBOOL(hAPP(V_b, V_s)) )).
% 13.72/13.93 cnf(matrix-493, plain, ( ~c_lessequals(V_i, V_j, tc_nat) | ( V_j = hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat), c_HOL_Ominus__class_Ominus(V_j, V_i, tc_nat)), V_i)) )).
% 13.72/13.93 cnf(matrix-494, plain, ( ( hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat), V_n), c_HOL_Ominus__class_Ominus(V_m, V_n, tc_nat)) = V_m) | ~c_lessequals(V_n, V_m, tc_nat) )).
% 13.72/13.93 cnf(matrix-495, plain, ( ( hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat), c_HOL_Ominus__class_Ominus(V_m, V_n, tc_nat)), V_n) = V_m) | ~c_lessequals(V_n, V_m, tc_nat) )).
% 13.72/13.93 cnf(matrix-496, plain, ( ( c_Com_Ocom_OSKIP != c_Com_Ocom_OAss(V_vname_H, V_fun_H)) )).
% 13.72/13.93 cnf(matrix-497, plain, ( c_Com_OWT(V_c2) | ~c_Com_OWT(c_Com_Ocom_OSemi(V_c1, V_c2)) )).
% 13.72/13.93 cnf(matrix-498, plain, ( c_Com_OWT(V_c1) | ~c_Com_OWT(c_Com_Ocom_OSemi(V_c1, V_c2)) )).
% 13.72/13.93 cnf(matrix-499, plain, ( ( c_Nat_Onat_Onat__rec(V_f1, V_f2, c_HOL_Ozero__class_Ozero(tc_nat), T_a) = V_f1) )).
% 13.72/13.93 cnf(matrix-500, plain, ( ( c_Com_Ocom_OWhile(V_fun_H, V_com_H) != c_Com_Ocom_OAss(V_vname, V_fun)) )).
% 13.72/13.93 cnf(matrix-501, plain, ( ( hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat), V_i), c_HOL_Ominus__class_Ominus(V_j, V_k, tc_nat)) = c_HOL_Ominus__class_Ominus(hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat), V_i), V_j), V_k, tc_nat)) | ~c_lessequals(V_k, V_j, tc_nat) )).
% 13.72/13.93 cnf(matrix-502, plain, ( ( hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat), c_HOL_Ominus__class_Ominus(V_j, V_k, tc_nat)), V_i) = c_HOL_Ominus__class_Ominus(hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat), V_j), V_i), V_k, tc_nat)) | ~c_lessequals(V_k, V_j, tc_nat) )).
% 13.72/13.93 cnf(matrix-503, plain, ( ( c_Orderings_Obot__class_Obot(tc_fun(T_a, tc_bool)) != c_Set_Oinsert(V_a, V_A, T_a)) )).
% 13.72/13.93 cnf(matrix-504, 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)) )).
% 13.72/13.93 cnf(matrix-505, 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)) )).
% 13.72/13.93 cnf(matrix-506, 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) )).
% 13.72/13.93 cnf(matrix-507, 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))) )).
% 13.72/13.93 cnf(matrix-508, plain, ( c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat), V_n, tc_nat) | ( V_n = c_HOL_Ozero__class_Ozero(tc_nat)) )).
% 13.72/13.93 cnf(matrix-509, 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)) )).
% 13.72/13.93 cnf(matrix-510, plain, ( ( c_Com_Ocom_OAss(V_vname, V_fun) != c_Com_Ocom_OAss(V_vname_H, V_fun_H)) | ( V_fun = V_fun_H) )).
% 13.72/13.93 cnf(matrix-511, plain, ( ( c_Com_Ocom_OAss(V_vname, V_fun) != c_Com_Ocom_OAss(V_vname_H, V_fun_H)) | ( V_vname = V_vname_H) )).
% 13.72/13.93 cnf(matrix-512, plain, ( ( c_Com_Ocom_OCall(V_vname_H, V_pname_H, V_fun_H) != c_Com_Ocom_OAss(V_vname, V_fun)) )).
% 13.72/13.93 cnf(matrix-513, plain, ( ( c_Com_Ocom_OSemi(V_com1_H, V_com2_H) != c_Com_Ocom_OSKIP) )).
% 13.72/13.93 cnf(matrix-514, plain, ( ~c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat), c_HOL_Ozero__class_Ozero(tc_nat), tc_nat) )).
% 13.72/13.93 cnf(matrix-515, plain, ( c_Hoare__Mirabelle_Ohoare__derivs(V_G, c_Set_Oinsert(c_Hoare__Mirabelle_Otriple_Otriple(V_P, c_Com_Ocom_OSKIP, V_P, T_a), c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(T_a), tc_bool)), tc_Hoare__Mirabelle_Otriple(T_a)), T_a) )).
% 13.72/13.93 cnf(matrix-516, plain, ( ~class_Divides_Osemiring__div(T_a) | ( c_Divides_Odiv__class_Omod(hAPP(hAPP(c_HOL_Oplus__class_Oplus(T_a), V_a), V_b), V_b, T_a) = c_Divides_Odiv__class_Omod(V_a, V_b, T_a)) )).
% 13.72/13.93 cnf(matrix-517, plain, ( ~class_Divides_Osemiring__div(T_a) | ( c_Divides_Odiv__class_Omod(hAPP(hAPP(c_HOL_Oplus__class_Oplus(T_a), V_b), V_a), V_b, T_a) = c_Divides_Odiv__class_Omod(V_a, V_b, T_a)) )).
% 13.72/13.93 cnf(matrix-518, plain, ( ~class_OrderedGroup_Ocomm__monoid__add(T_a) | ( hAPP(hAPP(c_HOL_Oplus__class_Oplus(T_a), c_Power_Opower_Opower(c_HOL_Ozero__class_Ozero(T_a), c_HOL_Oplus__class_Oplus(T_a), V_a, V_n, T_a)), V_a) = hAPP(hAPP(c_HOL_Oplus__class_Oplus(T_a), V_a), c_Power_Opower_Opower(c_HOL_Ozero__class_Ozero(T_a), c_HOL_Oplus__class_Oplus(T_a), V_a, V_n, T_a))) )).
% 13.72/13.93 cnf(matrix-519, plain, ( hBOOL(hAPP(c_Set_Oinsert(V_x, V_A, T_a), V_x)) )).
% 13.72/13.93 cnf(matrix-520, plain, ( c_HOL_Oord__class_Oless(V_m, V_n, tc_nat) | ~c_HOL_Oord__class_Oless(c_HOL_Ominus__class_Ominus(V_m, V_k, tc_nat), c_HOL_Ominus__class_Ominus(V_n, V_k, tc_nat), tc_nat) | ~c_lessequals(V_k, V_n, tc_nat) | ~c_lessequals(V_k, V_m, tc_nat) )).
% 13.72/13.93 cnf(matrix-521, plain, ( ( hAPP(hAPP(V_mul, V_a), V_r1) = V_a) | ~c_Groebner__Basis_Ogb__semiring(V_add, V_mul, V_pwr, V_r0, V_r1, T_a) )).
% 13.72/13.93 cnf(matrix-522, plain, ( ( hAPP(hAPP(V_mul, V_r1), V_a) = V_a) | ~c_Groebner__Basis_Ogb__semiring(V_add, V_mul, V_pwr, V_r0, V_r1, T_a) )).
% 13.72/13.93 cnf(matrix-523, plain, ( ( hAPP(hAPP(V_mul, V_a), V_r0) = V_r0) | ~c_Groebner__Basis_Ogb__semiring(V_add, V_mul, V_pwr, V_r0, V_r1, T_a) )).
% 13.72/13.93 cnf(matrix-524, plain, ( ( hAPP(hAPP(V_mul, V_r0), V_a) = V_r0) | ~c_Groebner__Basis_Ogb__semiring(V_add, V_mul, V_pwr, V_r0, V_r1, T_a) )).
% 13.72/13.93 cnf(matrix-525, plain, ( ( hAPP(hAPP(V_mul, hAPP(hAPP(V_add, V_a), V_b)), V_c) = hAPP(hAPP(V_add, hAPP(hAPP(V_mul, V_a), V_c)), hAPP(hAPP(V_mul, V_b), V_c))) | ~c_Groebner__Basis_Ogb__semiring(V_add, V_mul, V_pwr, V_r0, V_r1, T_a) )).
% 13.72/13.93 cnf(matrix-526, plain, ( ( hAPP(hAPP(V_mul, V_a), V_b) = hAPP(hAPP(V_mul, V_b), V_a)) | ~c_Groebner__Basis_Ogb__semiring(V_add, V_mul, V_pwr, V_r0, V_r1, T_a) )).
% 13.72/13.93 cnf(matrix-527, plain, ( ( hAPP(hAPP(V_add, V_a), V_r0) = V_a) | ~c_Groebner__Basis_Ogb__semiring(V_add, V_mul, V_pwr, V_r0, V_r1, T_a) )).
% 13.72/13.93 cnf(matrix-528, plain, ( ( hAPP(hAPP(V_add, V_r0), V_a) = V_a) | ~c_Groebner__Basis_Ogb__semiring(V_add, V_mul, V_pwr, V_r0, V_r1, T_a) )).
% 13.72/13.93 cnf(matrix-529, plain, ( ( hAPP(hAPP(V_add, V_m), V_m) = hAPP(hAPP(V_mul, hAPP(hAPP(V_add, V_r1), V_r1)), V_m)) | ~c_Groebner__Basis_Ogb__semiring(V_add, V_mul, V_pwr, V_r0, V_r1, T_a) )).
% 13.72/13.93 cnf(matrix-530, plain, ( ( hAPP(hAPP(V_add, V_m), hAPP(hAPP(V_mul, V_a), V_m)) = hAPP(hAPP(V_mul, hAPP(hAPP(V_add, V_a), V_r1)), V_m)) | ~c_Groebner__Basis_Ogb__semiring(V_add, V_mul, V_pwr, V_r0, V_r1, T_a) )).
% 13.72/13.93 cnf(matrix-531, plain, ( ( hAPP(hAPP(V_add, hAPP(hAPP(V_mul, V_a), V_m)), V_m) = hAPP(hAPP(V_mul, hAPP(hAPP(V_add, V_a), V_r1)), V_m)) | ~c_Groebner__Basis_Ogb__semiring(V_add, V_mul, V_pwr, V_r0, V_r1, T_a) )).
% 13.72/13.93 cnf(matrix-532, plain, ( ( hAPP(hAPP(V_add, hAPP(hAPP(V_mul, V_a), V_m)), hAPP(hAPP(V_mul, V_b), V_m)) = hAPP(hAPP(V_mul, hAPP(hAPP(V_add, V_a), V_b)), V_m)) | ~c_Groebner__Basis_Ogb__semiring(V_add, V_mul, V_pwr, V_r0, V_r1, T_a) )).
% 13.72/13.93 cnf(matrix-533, plain, ( ( hAPP(c_Suc, c_Divides_Odiv__class_Omod(V_m, V_n, tc_nat)) != V_n) | ( c_Divides_Odiv__class_Omod(hAPP(c_Suc, V_m), V_n, tc_nat) = c_HOL_Ozero__class_Ozero(tc_nat)) )).
% 13.72/13.93 cnf(matrix-534, 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)) )).
% 13.72/13.93 cnf(matrix-535, plain, ( ( hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat), V_m), V_n) != hAPP(c_Suc, c_HOL_Ozero__class_Ozero(tc_nat))) | ( V_n = hAPP(c_Suc, c_HOL_Ozero__class_Ozero(tc_nat))) | ( V_n = c_HOL_Ozero__class_Ozero(tc_nat)) )).
% 13.72/13.93 cnf(matrix-536, plain, ( ( hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat), V_m), V_n) != hAPP(c_Suc, c_HOL_Ozero__class_Ozero(tc_nat))) | ( V_m = c_HOL_Ozero__class_Ozero(tc_nat)) | ( V_m = hAPP(c_Suc, c_HOL_Ozero__class_Ozero(tc_nat))) )).
% 13.72/13.93 cnf(matrix-537, 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)) )).
% 13.72/13.93 cnf(matrix-538, plain, ( ( c_Com_Ocom_OLocal(V_loc, V_fun, V_com) != c_Com_Ocom_OSemi(V_com1_H, V_com2_H)) )).
% 13.72/13.93 cnf(matrix-539, plain, ( ~class_Ring__and__Field_Ocomm__semiring__1(T_a) | ( hAPP(hAPP(c_HOL_Oplus__class_Oplus(T_a), hAPP(hAPP(c_HOL_Oplus__class_Oplus(T_a), V_a), V_b)), hAPP(hAPP(c_HOL_Oplus__class_Oplus(T_a), V_c), V_d)) = hAPP(hAPP(c_HOL_Oplus__class_Oplus(T_a), hAPP(hAPP(c_HOL_Oplus__class_Oplus(T_a), V_a), V_c)), hAPP(hAPP(c_HOL_Oplus__class_Oplus(T_a), V_b), V_d))) )).
% 13.72/13.93 cnf(matrix-540, plain, ( ~class_Orderings_Olinorder(T_a) | ~class_Orderings_Olinorder(T_b) | ( c_Orderings_Oord__class_Omin(hAPP(V_f, V_m), hAPP(V_f, V_n), T_b) = hAPP(V_f, c_Orderings_Oord__class_Omin(V_m, V_n, T_a))) | ~c_Orderings_Oorder__class_Omono(V_f, T_a, T_b) )).
% 13.72/13.93 cnf(matrix-541, plain, ( ( c_Com_Ocom_OWhile(V_fun, V_com) != c_Com_Ocom_OWhile(V_fun_H, V_com_H)) | ( V_fun = V_fun_H) )).
% 13.72/13.93 cnf(matrix-542, plain, ( ( c_Com_Ocom_OWhile(V_fun, V_com) != c_Com_Ocom_OWhile(V_fun_H, V_com_H)) | ( V_com = V_com_H) )).
% 13.72/13.93 cnf(matrix-543, plain, ( ~class_Orderings_Olinorder(T_a) | ( c_Orderings_Oord__class_Omax(V_x, V_y, T_a) = c_Orderings_Oord__class_Omax(V_y, V_x, T_a)) )).
% 13.72/13.93 cnf(matrix-544, plain, ( c_Com_OWT(c_Com_Ocom_OWhile(V_b, V_c)) | ~c_Com_OWT(V_c) )).
% 13.72/13.93 cnf(matrix-545, plain, ( c_Com_OWT(V_c) | ~c_Com_OWT(c_Com_Ocom_OWhile(V_b, V_c)) )).
% 13.72/13.93 cnf(matrix-546, 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)) )).
% 13.72/13.93 cnf(matrix-547, plain, ( ~class_Orderings_Oorder(T_a) | ~class_Orderings_Oorder(T_b) | c_lessequals(hAPP(V_f, V_x), hAPP(V_f, V_y), T_b) | ~c_lessequals(V_x, V_y, T_a) | ~c_Orderings_Oorder__class_Omono(V_f, T_a, T_b) )).
% 13.72/13.93 cnf(matrix-548, plain, ( ~class_Orderings_Olinorder(T_a) | c_lessequals(c_Orderings_Oord__class_Omax(c_Orderings_Oord__class_Omin(V_x, V_y, T_a), c_Orderings_Oord__class_Omin(V_x, V_z, T_a), T_a), c_Orderings_Oord__class_Omin(V_x, c_Orderings_Oord__class_Omax(V_y, V_z, T_a), T_a), T_a) )).
% 13.72/13.93 cnf(matrix-549, plain, ( c_Com_OWT(c_Com_Ocom_OLocal(V_Y, V_a, V_c)) | ~c_Com_OWT(V_c) )).
% 13.72/13.93 cnf(matrix-550, plain, ( c_Com_OWT(V_c) | ~c_Com_OWT(c_Com_Ocom_OLocal(V_Y, V_a, V_c)) )).
% 13.72/13.93 cnf(matrix-551, plain, ( ( c_Com_Ocom_OCond(V_fun_H, V_com1_H, V_com2_H) != c_Com_Ocom_OSKIP) )).
% 13.72/13.93 cnf(matrix-552, plain, ( ( c_Orderings_Oord__class_Omax(V_n, c_HOL_Ozero__class_Ozero(tc_nat), tc_nat) = V_n) )).
% 13.72/13.93 cnf(matrix-553, plain, ( ( c_Orderings_Oord__class_Omax(c_HOL_Ozero__class_Ozero(tc_nat), V_n, tc_nat) = V_n) )).
% 13.72/13.93 cnf(matrix-554, plain, ( ~class_Orderings_Olinorder(T_a) | ( c_Orderings_Oord__class_Omax(V_x, c_Orderings_Oord__class_Omin(V_x, V_y, T_a), T_a) = V_x) )).
% 13.72/13.93 cnf(matrix-555, plain, ( ( c_Com_Ocom_OWhile(V_fun_H, V_com_H) != c_Com_Ocom_OCond(V_fun, V_com1, V_com2)) )).
% 13.72/13.93 cnf(matrix-556, plain, ( ( c_HOL_Ominus__class_Ominus(V_n, c_HOL_Ominus__class_Ominus(V_n, V_i, tc_nat), tc_nat) = V_i) | ~c_lessequals(V_i, V_n, tc_nat) )).
% 13.72/13.93 cnf(matrix-557, plain, ( ( c_Com_Ocom_OSemi(V_com1, V_com2) != c_Com_Ocom_OCall(V_vname_H, V_pname_H, V_fun_H)) )).
% 13.72/13.93 cnf(matrix-558, 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)) )).
% 13.72/13.93 cnf(matrix-559, plain, ( ( c_Com_Ocom_OCond(V_fun_H, V_com1_H, V_com2_H) != c_Com_Ocom_OAss(V_vname, V_fun)) )).
% 13.72/13.93 cnf(matrix-560, plain, ( ~class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(T_a) | ( hAPP(hAPP(c_HOL_Oplus__class_Oplus(T_a), c_Orderings_Oord__class_Omax(V_x, V_y, T_a)), V_z) = c_Orderings_Oord__class_Omax(hAPP(hAPP(c_HOL_Oplus__class_Oplus(T_a), V_x), V_z), hAPP(hAPP(c_HOL_Oplus__class_Oplus(T_a), V_y), V_z), T_a)) )).
% 13.72/13.93 cnf(matrix-561, plain, ( ~class_Orderings_Olinorder(T_a) | ( c_Orderings_Oord__class_Omax(c_Orderings_Oord__class_Omax(V_x, V_y, T_a), V_z, T_a) = c_Orderings_Oord__class_Omax(V_x, c_Orderings_Oord__class_Omax(V_y, V_z, T_a), T_a)) )).
% 13.72/13.93 cnf(matrix-562, plain, ( ~class_Orderings_Olinorder(T_a) | ( c_Orderings_Oord__class_Omax(V_x, c_Orderings_Oord__class_Omax(V_y, V_z, T_a), T_a) = c_Orderings_Oord__class_Omax(V_y, c_Orderings_Oord__class_Omax(V_x, V_z, T_a), T_a)) )).
% 13.72/13.93 cnf(matrix-563, 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))) )).
% 13.72/13.93 cnf(matrix-564, plain, ( ~class_Ring__and__Field_Ocomm__semiring__1(T_a) | ( hAPP(hAPP(c_HOL_Oplus__class_Oplus(T_a), c_HOL_Ozero__class_Ozero(T_a)), V_x) = V_x) )).
% 13.72/13.93 cnf(matrix-565, plain, ( ~class_OrderedGroup_Ocomm__monoid__add(T_a) | ( hAPP(hAPP(c_HOL_Oplus__class_Oplus(T_a), c_HOL_Ozero__class_Ozero(T_a)), V_a) = V_a) )).
% 13.72/13.93 cnf(matrix-566, plain, ( ( V_x = hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat), V_x), c_HOL_Ozero__class_Ozero(tc_nat))) )).
% 13.72/13.93 cnf(matrix-567, plain, ( ( hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat), c_HOL_Ozero__class_Ozero(tc_nat)), V_n) = V_n) )).
% 13.72/13.93 cnf(matrix-568, plain, ( ( hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat), V_m), c_HOL_Ozero__class_Ozero(tc_nat)) = V_m) )).
% 13.72/13.93 cnf(matrix-569, plain, ( ~class_Ring__and__Field_Oidom(T_a) | ~class_Int_Onumber__ring(T_a) | ( V_x = hAPP(hAPP(c_HOL_Oplus__class_Oplus(T_a), V_x), c_HOL_Ozero__class_Ozero(T_a))) )).
% 13.72/13.93 cnf(matrix-570, plain, ( ~class_OrderedGroup_Ocomm__monoid__add(T_a) | ( hAPP(hAPP(c_HOL_Oplus__class_Oplus(T_a), V_a), c_HOL_Ozero__class_Ozero(T_a)) = V_a) )).
% 13.72/13.93 cnf(matrix-571, plain, ( ~class_OrderedGroup_Omonoid__add(T_a) | ( hAPP(hAPP(c_HOL_Oplus__class_Oplus(T_a), c_HOL_Ozero__class_Ozero(T_a)), V_a) = V_a) )).
% 13.72/13.93 cnf(matrix-572, plain, ( ~class_OrderedGroup_Omonoid__add(T_a) | ( hAPP(hAPP(c_HOL_Oplus__class_Oplus(T_a), V_a), c_HOL_Ozero__class_Ozero(T_a)) = V_a) )).
% 13.72/13.93 cnf(matrix-573, plain, ( ~class_Ring__and__Field_Ocomm__semiring__1(T_a) | ( hAPP(hAPP(c_HOL_Oplus__class_Oplus(T_a), V_a), c_HOL_Ozero__class_Ozero(T_a)) = V_a) )).
% 13.72/13.93 cnf(matrix-574, plain, ( ~class_Ring__and__Field_Ocomm__semiring__1(T_a) | ( hAPP(hAPP(c_HOL_Oplus__class_Oplus(T_a), c_HOL_Ozero__class_Ozero(T_a)), V_a) = V_a) )).
% 13.72/13.93 cnf(matrix-575, plain, ( ( V_t = V_s) | ~c_Natural_Oevaln(c_Com_Ocom_OSKIP, V_s, V_n, V_t) )).
% 13.72/13.93 cnf(matrix-576, plain, ( ~class_Orderings_Olinorder(T_a) | ( c_Orderings_Oord__class_Omax(V_x, c_Orderings_Oord__class_Omax(V_x, V_y, T_a), T_a) = c_Orderings_Oord__class_Omax(V_x, V_y, T_a)) )).
% 13.72/13.93 cnf(matrix-577, plain, ( ( hAPP(hAPP(V_pwr, V_x), c_HOL_Ozero__class_Ozero(tc_nat)) = V_r1) | ~c_Groebner__Basis_Ogb__semiring(V_add, V_mul, V_pwr, V_r0, V_r1, T_a) )).
% 13.72/13.93 cnf(matrix-578, plain, ( ( hAPP(c_Fun_Oid(T_a), V_x) = V_x) )).
% 13.72/13.93 cnf(matrix-579, plain, ( ( c_HOL_Ominus__class_Ominus(hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat), V_m), V_n), V_n, tc_nat) = V_m) )).
% 13.72/13.93 cnf(matrix-580, plain, ( ( c_HOL_Ominus__class_Ominus(hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat), V_n), V_m), V_n, tc_nat) = V_m) )).
% 13.72/13.93 cnf(matrix-581, plain, ( ~class_OrderedGroup_Ogroup__add(T_a) | ( c_HOL_Ominus__class_Ominus(hAPP(hAPP(c_HOL_Oplus__class_Oplus(T_a), V_a), V_b), V_b, T_a) = V_a) )).
% 13.72/13.93 cnf(matrix-582, 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))) )).
% 13.72/13.93 cnf(matrix-583, plain, ( ~class_Orderings_Olinorder(T_a) | ~class_Orderings_Olinorder(T_b) | ( c_Orderings_Oord__class_Omax(hAPP(V_f, V_m), hAPP(V_f, V_n), T_b) = hAPP(V_f, c_Orderings_Oord__class_Omax(V_m, V_n, T_a))) | ~c_Orderings_Oorder__class_Omono(V_f, T_a, T_b) )).
% 13.72/13.93 cnf(matrix-584, plain, ( ~class_OrderedGroup_Opordered__cancel__ab__semigroup__add(T_a) | c_HOL_Oord__class_Oless(hAPP(hAPP(c_HOL_Oplus__class_Oplus(T_a), V_a), V_c), hAPP(hAPP(c_HOL_Oplus__class_Oplus(T_a), V_b), V_d), T_a) | ~c_HOL_Oord__class_Oless(V_c, V_d, T_a) | ~c_lessequals(V_a, V_b, T_a) )).
% 13.72/13.93 cnf(matrix-585, plain, ( ~class_OrderedGroup_Opordered__cancel__ab__semigroup__add(T_a) | c_HOL_Oord__class_Oless(hAPP(hAPP(c_HOL_Oplus__class_Oplus(T_a), V_a), V_c), hAPP(hAPP(c_HOL_Oplus__class_Oplus(T_a), V_b), V_d), T_a) | ~c_lessequals(V_c, V_d, T_a) | ~c_HOL_Oord__class_Oless(V_a, V_b, T_a) )).
% 13.72/13.93 cnf(matrix-586, plain, ( ( V_t = V_s) | ~c_Natural_Oevalc(c_Com_Ocom_OSKIP, V_s, V_t) )).
% 13.72/13.93 cnf(matrix-587, plain, ( c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat), hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat), V_m), V_n), tc_nat) | ~c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat), V_n, tc_nat) )).
% 13.72/13.93 cnf(matrix-588, plain, ( c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat), hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat), V_m), V_n), tc_nat) | ~c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat), V_m, tc_nat) )).
% 13.72/13.93 cnf(matrix-589, plain, ( ~class_OrderedGroup_Olordered__ab__group__add(T_a) | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(T_a), V_a, T_a) | ~c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(T_a), hAPP(hAPP(c_HOL_Oplus__class_Oplus(T_a), V_a), V_a), T_a) )).
% 13.72/13.93 cnf(matrix-590, plain, ( ~class_OrderedGroup_Olordered__ab__group__add(T_a) | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(T_a), hAPP(hAPP(c_HOL_Oplus__class_Oplus(T_a), V_a), V_a), T_a) | ~c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(T_a), V_a, T_a) )).
% 13.72/13.93 cnf(matrix-591, plain, ( c_Natural_Oevalc(V_c, V_s, V_t) | ~c_Natural_Oevaln(V_c, V_s, V_n, V_t) )).
% 13.72/13.93 cnf(matrix-592, plain, ( c_Natural_Oevalc(V_c, V_s, V_t) | ~c_Natural_Oevaln(V_c, V_s, V_x, V_t) )).
% 13.72/13.93 cnf(matrix-593, plain, ( c_Hoare__Mirabelle_Otriple__valid(V_n, c_Hoare__Mirabelle_Otriple_Otriple(V_P, V_c, V_Q, t_a), t_a) | c_Natural_Oevaln(V_c, v_sko__Hoare__Mirabelle__Xtriple__valid__def2__2(V_P, V_Q, V_c, V_n), V_n, v_sko__Hoare__Mirabelle__Xtriple__valid__def2__3(V_P, V_Q, V_c, V_n)) )).
% 13.72/13.93 cnf(matrix-594, plain, ( hBOOL(c_in(V_a, c_Set_Oinsert(V_b, V_A, T_a), T_a)) | ~hBOOL(c_in(V_a, V_A, T_a)) )).
% 13.72/13.93 cnf(matrix-595, plain, ( hBOOL(c_in(V_a, c_Set_Oinsert(V_b, V_B, T_a), T_a)) | ~hBOOL(c_in(V_a, V_B, T_a)) )).
% 13.72/13.93 cnf(matrix-596, plain, ( ~hBOOL(c_in(V_x, c_Orderings_Obot__class_Obot(tc_fun(T_a, tc_bool)), T_a)) )).
% 13.72/13.93 cnf(matrix-597, plain, ( hBOOL(hAPP(V_P, V_x)) | ~hBOOL(c_in(V_x, c_Orderings_Obot__class_Obot(tc_fun(T_a, tc_bool)), T_a)) )).
% 13.72/13.93 cnf(matrix-598, plain, ( ~hBOOL(c_in(V_c, c_Orderings_Obot__class_Obot(tc_fun(T_a, tc_bool)), T_a)) )).
% 13.72/13.93 cnf(matrix-599, plain, ( ~hBOOL(c_in(V_a, c_Orderings_Obot__class_Obot(tc_fun(T_a, tc_bool)), T_a)) )).
% 13.72/13.93 cnf(matrix-600, plain, ( hBOOL(c_in(V_a, V_A, T_a)) | ( V_a = V_b) | ~hBOOL(c_in(V_a, c_Set_Oinsert(V_b, V_A, T_a), T_a)) )).
% 13.72/13.93 cnf(matrix-601, plain, ( hBOOL(c_in(V_x, c_Set_Oinsert(V_x, V_A, T_a), T_a)) )).
% 13.72/13.93 cnf(matrix-602, plain, ( hBOOL(c_in(V_a, c_Set_Oinsert(V_a, V_B, T_a), T_a)) )).
% 13.72/13.93 cnf(matrix-603, plain, ( hBOOL(c_in(V_x, c_Set_Oinsert(V_x, V_B, T_a), T_a)) )).
% 13.72/13.93 cnf(matrix-604, plain, ( ( hAPP(V_f, V_x) != hAPP(V_f, V_y)) | ~hBOOL(c_in(V_y, V_A, T_a)) | ~hBOOL(c_in(V_x, V_A, T_a)) | ( V_x = V_y) | ~c_Fun_Oinj__on(V_f, V_A, T_a, T_b) )).
% 13.72/13.93 cnf(matrix-605, plain, ( ( hAPP(V_f, V_x) != hAPP(V_f, V_y)) | ~hBOOL(c_in(V_y, V_A, T_a)) | ~hBOOL(c_in(V_x, V_A, T_a)) | ~c_Fun_Oinj__on(V_f, V_A, T_a, T_b) | ( V_x = V_y) )).
% 13.72/13.93 cnf(matrix-606, plain, ( ( hAPP(V_f, V_x) != hAPP(V_f, V_xa)) | ~hBOOL(c_in(V_xa, V_A, T_a)) | ~hBOOL(c_in(V_x, V_A, T_a)) | ~c_Fun_Oinj__on(V_f, V_A, T_a, T_b) | ( V_x = V_xa) )).
% 13.72/13.93 cnf(matrix-607, 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(c_in(V_y, V_A, T_a)) | ~hBOOL(c_in(V_x, V_A, T_a)) )).
% 13.72/13.93 cnf(matrix-608, plain, ( ~hBOOL(hAPP(V_P, V_x)) | ~hBOOL(c_in(V_x, c_Orderings_Obot__class_Obot(tc_fun(T_a, tc_bool)), T_a)) )).
% 13.72/13.93 cnf(matrix-609, plain, ( ( c_Set_Oinsert(V_x, V_A, T_a) != c_Set_Oinsert(V_x, V_B, T_a)) | hBOOL(c_in(V_x, V_B, T_a)) | hBOOL(c_in(V_x, V_A, T_a)) | ( V_A = V_B) )).
% 13.72/13.93 cnf(matrix-610, plain, ( ( c_Set_Oinsert(V_a, V_A, T_a) = V_A) | ~hBOOL(c_in(V_a, V_A, T_a)) )).
% 13.72/13.93 cnf(matrix-611, plain, ( c_lessequals(hAPP(c_Suc, V_n), hAPP(c_Suc, V_m), tc_nat) | ~c_lessequals(V_n, V_m, tc_nat) )).
% 13.72/13.93 cnf(matrix-612, plain, ( c_lessequals(V_n, V_m, tc_nat) | ~c_lessequals(hAPP(c_Suc, V_n), hAPP(c_Suc, V_m), tc_nat) )).
% 13.72/13.93 cnf(matrix-613, plain, ( c_HOL_Oord__class_Oless(V_m, hAPP(c_Suc, V_n), tc_nat) | ~c_HOL_Oord__class_Oless(V_m, V_n, tc_nat) )).
% 13.72/13.93 cnf(matrix-614, plain, ( c_HOL_Oord__class_Oless(V_m, V_n, tc_nat) | ~c_HOL_Oord__class_Oless(hAPP(c_Suc, V_m), V_n, tc_nat) )).
% 13.72/13.93 cnf(matrix-615, plain, ( ( c_Divides_Odiv__class_Omod(hAPP(c_Suc, V_m), V_n, tc_nat) = c_Divides_Odiv__class_Omod(hAPP(c_Suc, c_Divides_Odiv__class_Omod(V_m, V_n, tc_nat)), V_n, tc_nat)) )).
% 13.72/13.93 cnf(matrix-616, plain, ( ~c_lessequals(hAPP(c_Suc, V_n), V_n, tc_nat) )).
% 13.72/13.93 cnf(matrix-617, plain, ( c_lessequals(V_m, hAPP(c_Suc, V_n), tc_nat) | ~c_lessequals(V_m, V_n, tc_nat) )).
% 13.72/13.93 cnf(matrix-618, plain, ( c_lessequals(V_m, V_n, tc_nat) | ~c_lessequals(hAPP(c_Suc, V_m), V_n, tc_nat) )).
% 13.72/13.93 cnf(matrix-619, plain, ( ( hAPP(hAPP(V_pwr, V_x), hAPP(c_Suc, V_n)) = hAPP(hAPP(V_mul, V_x), hAPP(hAPP(V_pwr, V_x), V_n))) | ~c_Groebner__Basis_Ogb__semiring(V_add, V_mul, V_pwr, V_r0, V_r1, T_a) )).
% 13.72/13.93 cnf(matrix-620, plain, ( ( hAPP(hAPP(V_pwr, V_x), hAPP(c_Suc, V_q)) = hAPP(hAPP(V_mul, V_x), hAPP(hAPP(V_pwr, V_x), V_q))) | ~c_Groebner__Basis_Ogb__semiring(V_add, V_mul, V_pwr, V_r0, V_r1, T_a) )).
% 13.72/13.93 cnf(matrix-621, plain, ( c_HOL_Oord__class_Oless(c_HOL_Ominus__class_Ominus(V_m, V_k, tc_nat), c_HOL_Ominus__class_Ominus(V_n, V_k, tc_nat), tc_nat) | ~c_HOL_Oord__class_Oless(V_m, V_n, tc_nat) | ~c_lessequals(V_k, V_n, tc_nat) | ~c_lessequals(V_k, V_m, tc_nat) )).
% 13.72/13.93 cnf(matrix-622, plain, ( ~class_Ring__and__Field_Oordered__semidom(T_a) | c_HOL_Oord__class_Oless(V_b, hAPP(hAPP(c_HOL_Oplus__class_Oplus(T_a), V_a), V_c), T_a) | ~c_HOL_Oord__class_Oless(V_b, V_c, T_a) | ~c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(T_a), V_a, T_a) )).
% 13.72/13.93 cnf(matrix-623, plain, ( ~class_Ring__and__Field_Osemiring__1(T_a) | ( c_Nat_Osemiring__1__class_Oof__nat__aux(V_inc, c_HOL_Ozero__class_Ozero(tc_nat), V_i, T_a) = V_i) )).
% 13.72/13.93 cnf(matrix-624, 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) )).
% 13.72/13.93 cnf(matrix-625, 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) )).
% 13.72/13.93 cnf(matrix-626, 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) )).
% 13.72/13.93 cnf(matrix-627, plain, ( c_Com_OWT(c_Com_Ocom_OSemi(V_c0, V_c1)) | ~c_Com_OWT(V_c1) | ~c_Com_OWT(V_c0) )).
% 13.72/13.93 cnf(matrix-628, plain, ( ~class_OrderedGroup_Olordered__ab__group__add(T_a) | c_lessequals(hAPP(hAPP(c_HOL_Oplus__class_Oplus(T_a), V_a), V_a), c_HOL_Ozero__class_Ozero(T_a), T_a) | ~c_lessequals(V_a, c_HOL_Ozero__class_Ozero(T_a), T_a) )).
% 13.72/13.93 cnf(matrix-629, plain, ( ~class_OrderedGroup_Olordered__ab__group__add(T_a) | c_lessequals(V_a, c_HOL_Ozero__class_Ozero(T_a), T_a) | ~c_lessequals(hAPP(hAPP(c_HOL_Oplus__class_Oplus(T_a), V_a), V_a), c_HOL_Ozero__class_Ozero(T_a), T_a) )).
% 13.72/13.93 cnf(matrix-630, plain, ( ( c_Com_Ocom_OSKIP != c_Com_Ocom_OCall(V_vname_H, V_pname_H, V_fun_H)) )).
% 13.72/13.93 cnf(matrix-631, plain, ( ~c_HOL_Oord__class_Oless(hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat), V_i), V_j), V_i, tc_nat) )).
% 13.72/13.93 cnf(matrix-632, plain, ( ~c_HOL_Oord__class_Oless(hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat), V_j), V_i), V_i, tc_nat) )).
% 13.72/13.93 cnf(matrix-633, plain, ( ( c_Fun_Ofcomp(V_f, c_Fun_Oid(T_b), T_a, T_b, T_b) = V_f) )).
% 13.72/13.93 cnf(matrix-634, plain, ( ( c_Fun_Ofcomp(c_Fun_Oid(T_a), V_g, T_a, T_a, T_b) = V_g) )).
% 13.72/13.93 cnf(matrix-635, plain, ( ( c_Divides_Odiv__class_Omod(V_m, V_n, tc_nat) = c_Divides_Odiv__class_Omod(c_HOL_Ominus__class_Ominus(V_m, V_n, tc_nat), V_n, tc_nat)) | c_HOL_Oord__class_Oless(V_m, V_n, tc_nat) )).
% 13.72/13.93 cnf(matrix-636, plain, ( ( c_Com_Ocom_OWhile(V_fun_H, V_com_H) != c_Com_Ocom_OSemi(V_com1, V_com2)) )).
% 13.72/13.93 cnf(matrix-637, plain, ( c_lessequals(c_HOL_Ozero__class_Ozero(tc_nat), c_HOL_Ozero__class_Ozero(tc_nat), tc_nat) )).
% 13.72/13.93 cnf(matrix-638, plain, ( c_HOL_Oord__class_Oless(hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat), V_i), V_k), V_j, tc_nat) | ~c_HOL_Oord__class_Oless(V_i, c_HOL_Ominus__class_Ominus(V_j, V_k, tc_nat), tc_nat) )).
% 13.72/13.93 cnf(matrix-639, plain, ( c_HOL_Oord__class_Oless(V_i, c_HOL_Ominus__class_Ominus(V_j, V_k, tc_nat), tc_nat) | ~c_HOL_Oord__class_Oless(hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat), V_i), V_k), V_j, tc_nat) )).
% 13.72/13.93 cnf(matrix-640, plain, ( hBOOL(hAPP(V_b, V_s)) | ( V_t = V_s) | ~c_Natural_Oevalc(c_Com_Ocom_OWhile(V_b, V_c), V_s, V_t) )).
% 13.72/13.93 cnf(matrix-641, plain, ( ( c_Power_Opower_Opower(V_one, V_times, V_a, c_HOL_Ozero__class_Ozero(tc_nat), T_a) = V_one) )).
% 13.72/13.93 cnf(matrix-642, plain, ( ~class_OrderedGroup_Opordered__cancel__ab__semigroup__add(T_a) | c_HOL_Oord__class_Oless(hAPP(hAPP(c_HOL_Oplus__class_Oplus(T_a), V_a), V_c), hAPP(hAPP(c_HOL_Oplus__class_Oplus(T_a), V_b), V_c), T_a) | ~c_HOL_Oord__class_Oless(V_a, V_b, T_a) )).
% 13.72/13.93 cnf(matrix-643, plain, ( ~class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(T_a) | c_HOL_Oord__class_Oless(hAPP(hAPP(c_HOL_Oplus__class_Oplus(T_a), V_a), V_c), hAPP(hAPP(c_HOL_Oplus__class_Oplus(T_a), V_b), V_c), T_a) | ~c_HOL_Oord__class_Oless(V_a, V_b, T_a) )).
% 13.72/13.93 cnf(matrix-644, plain, ( ~class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(T_a) | c_HOL_Oord__class_Oless(V_a, V_b, T_a) | ~c_HOL_Oord__class_Oless(hAPP(hAPP(c_HOL_Oplus__class_Oplus(T_a), V_a), V_c), hAPP(hAPP(c_HOL_Oplus__class_Oplus(T_a), V_b), V_c), T_a) )).
% 13.72/13.93 cnf(matrix-645, plain, ( ~class_OrderedGroup_Opordered__cancel__ab__semigroup__add(T_a) | c_HOL_Oord__class_Oless(hAPP(hAPP(c_HOL_Oplus__class_Oplus(T_a), V_c), V_a), hAPP(hAPP(c_HOL_Oplus__class_Oplus(T_a), V_c), V_b), T_a) | ~c_HOL_Oord__class_Oless(V_a, V_b, T_a) )).
% 13.72/13.93 cnf(matrix-646, plain, ( ~class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(T_a) | c_HOL_Oord__class_Oless(hAPP(hAPP(c_HOL_Oplus__class_Oplus(T_a), V_c), V_a), hAPP(hAPP(c_HOL_Oplus__class_Oplus(T_a), V_c), V_b), T_a) | ~c_HOL_Oord__class_Oless(V_a, V_b, T_a) )).
% 13.72/13.93 cnf(matrix-647, plain, ( ~class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(T_a) | c_HOL_Oord__class_Oless(V_a, V_b, T_a) | ~c_HOL_Oord__class_Oless(hAPP(hAPP(c_HOL_Oplus__class_Oplus(T_a), V_c), V_a), hAPP(hAPP(c_HOL_Oplus__class_Oplus(T_a), V_c), V_b), T_a) )).
% 13.72/13.93 cnf(matrix-648, plain, ( c_HOL_Oord__class_Oless(hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat), V_i), V_k), hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat), V_j), V_k), tc_nat) | ~c_HOL_Oord__class_Oless(V_i, V_j, tc_nat) )).
% 13.72/13.93 cnf(matrix-649, plain, ( c_HOL_Oord__class_Oless(V_m, V_n, tc_nat) | ~c_HOL_Oord__class_Oless(hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat), V_k), V_m), hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat), V_k), V_n), tc_nat) )).
% 13.72/13.93 cnf(matrix-650, plain, ( c_HOL_Oord__class_Oless(hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat), V_k), V_m), hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat), V_k), V_n), tc_nat) | ~c_HOL_Oord__class_Oless(V_m, V_n, tc_nat) )).
% 13.72/13.93 cnf(matrix-651, plain, ( ~hBOOL(hAPP(V_P, c_Divides_Odiv__class_Omod(V_n, c_HOL_Ozero__class_Ozero(tc_nat), tc_nat))) | hBOOL(hAPP(V_P, V_n)) )).
% 13.72/13.93 cnf(matrix-652, plain, ( ~hBOOL(hAPP(V_P, V_n)) | hBOOL(hAPP(V_P, c_Divides_Odiv__class_Omod(V_n, c_HOL_Ozero__class_Ozero(tc_nat), tc_nat))) )).
% 13.72/13.93 cnf(matrix-653, 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) )).
% 13.72/13.93 cnf(matrix-654, plain, ( ~class_Orderings_Oorder(T_a) | c_HOL_Oord__class_Oless(V_z, V_x, T_a) | ~c_lessequals(V_z, V_y, T_a) | ~c_HOL_Oord__class_Oless(V_y, V_x, T_a) )).
% 13.72/13.93 cnf(matrix-655, plain, ( ~class_Orderings_Oorder(T_a) | c_HOL_Oord__class_Oless(V_z, V_x, T_a) | ~c_HOL_Oord__class_Oless(V_z, V_y, T_a) | ~c_lessequals(V_y, V_x, T_a) )).
% 13.72/13.93 cnf(matrix-656, plain, ( ~class_OrderedGroup_Opordered__comm__monoid__add(T_a) | c_lessequals(hAPP(hAPP(c_HOL_Oplus__class_Oplus(T_a), V_a), V_b), c_HOL_Ozero__class_Ozero(T_a), T_a) | ~c_lessequals(V_b, c_HOL_Ozero__class_Ozero(T_a), T_a) | ~c_lessequals(V_a, c_HOL_Ozero__class_Ozero(T_a), T_a) )).
% 13.72/13.93 cnf(matrix-657, 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) )).
% 13.72/13.93 cnf(matrix-658, plain, ( c_lessequals(V_n, V_n, tc_nat) )).
% 13.72/13.93 cnf(matrix-659, plain, ( c_lessequals(V_i, V_k, tc_nat) | ~c_lessequals(V_j, V_k, tc_nat) | ~c_lessequals(V_i, V_j, tc_nat) )).
% 13.72/13.93 cnf(matrix-660, plain, ( c_lessequals(V_x, V_x, tc_nat) )).
% 13.72/13.93 cnf(matrix-661, plain, ( ~class_Orderings_Oorder(T_a) | c_lessequals(V_x, V_x, T_a) )).
% 13.72/13.93 cnf(matrix-662, plain, ( c_Natural_Oevaln(V_c, V_s, V_m, V_t) | ~c_lessequals(V_n, V_m, tc_nat) | ~c_Natural_Oevaln(V_c, V_s, V_n, V_t) )).
% 13.72/13.93 cnf(matrix-663, plain, ( ~class_Orderings_Opreorder(T_a) | c_lessequals(V_x, V_x, T_a) )).
% 13.72/13.93 cnf(matrix-664, plain, ( ~class_Orderings_Opreorder(T_a) | c_HOL_Oord__class_Oless(V_x, V_z, T_a) | ~c_HOL_Oord__class_Oless(V_y, V_z, T_a) | ~c_lessequals(V_x, V_y, T_a) )).
% 13.72/13.93 cnf(matrix-665, plain, ( ~class_Orderings_Opreorder(T_a) | c_HOL_Oord__class_Oless(V_x, V_z, T_a) | ~c_lessequals(V_y, V_z, T_a) | ~c_HOL_Oord__class_Oless(V_x, V_y, T_a) )).
% 13.72/13.93 cnf(matrix-666, plain, ( ~class_OrderedGroup_Opordered__ab__group__add(T_a) | c_lessequals(V_a, hAPP(hAPP(c_HOL_Oplus__class_Oplus(T_a), V_b), V_d), T_a) | ~c_lessequals(V_c, V_d, T_a) | ~c_lessequals(V_a, hAPP(hAPP(c_HOL_Oplus__class_Oplus(T_a), V_b), V_c), T_a) )).
% 13.72/13.93 cnf(matrix-667, plain, ( ( c_Com_Ocom_OCall(V_vname_H, V_pname_H, V_fun_H) != c_Com_Ocom_OSKIP) )).
% 13.72/13.93 cnf(matrix-668, plain, ( ( c_Orderings_Oord__class_Omin(c_HOL_Ominus__class_Ominus(V_m, V_i, tc_nat), c_HOL_Ominus__class_Ominus(V_n, V_i, tc_nat), tc_nat) = c_HOL_Ominus__class_Ominus(c_Orderings_Oord__class_Omin(V_m, V_n, tc_nat), V_i, tc_nat)) )).
% 13.72/13.93 cnf(matrix-669, plain, ( hBOOL(hAPP(V_P, c_HOL_Ozero__class_Ozero(tc_nat))) | ~c_HOL_Oord__class_Oless(V_a, V_b, tc_nat) | ~hBOOL(hAPP(V_P, c_HOL_Ominus__class_Ominus(V_a, V_b, tc_nat))) )).
% 13.72/13.93 cnf(matrix-670, plain, ( ( hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat), c_HOL_Ozero__class_Ozero(tc_nat)), hAPP(c_Suc, c_HOL_Ozero__class_Ozero(tc_nat))) = hAPP(c_Suc, c_HOL_Ozero__class_Ozero(tc_nat))) )).
% 13.72/13.93 cnf(matrix-671, plain, ( hBOOL(c_in(V_x, c_Set_Oinsert(V_x, c_Orderings_Obot__class_Obot(tc_fun(T_a, tc_bool)), T_a), T_a)) )).
% 13.72/13.93 cnf(matrix-672, 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)) )).
% 13.72/13.93 cnf(matrix-673, plain, ( ( V_n = V_m) | ~c_HOL_Oord__class_Oless(V_n, hAPP(c_Suc, V_m), tc_nat) | ~c_lessequals(V_m, V_n, tc_nat) )).
% 13.72/13.93 cnf(matrix-674, 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))) )).
% 13.72/13.93 cnf(matrix-675, 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)) )).
% 13.72/13.93 cnf(matrix-676, 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) )).
% 13.72/13.93 cnf(matrix-677, plain, ( c_HOL_Oord__class_Oless(V_m, V_n, tc_nat) | ~c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat), c_HOL_Ominus__class_Ominus(V_n, V_m, tc_nat), tc_nat) )).
% 13.72/13.93 cnf(matrix-678, plain, ( c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat), c_HOL_Ominus__class_Ominus(V_n, V_m, tc_nat), tc_nat) | ~c_HOL_Oord__class_Oless(V_m, V_n, tc_nat) )).
% 13.72/13.93 cnf(matrix-679, 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) )).
% 13.72/13.93 cnf(matrix-680, 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) )).
% 13.72/13.93 cnf(matrix-681, plain, ( ( hAPP(c_Suc, c_HOL_Ominus__class_Ominus(V_n, hAPP(c_Suc, c_HOL_Ozero__class_Ozero(tc_nat)), tc_nat)) = V_n) | ~c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat), V_n, tc_nat) )).
% 13.72/13.93 cnf(matrix-682, plain, ( c_HOL_Oord__class_Oless(c_HOL_Ominus__class_Ominus(V_m, V_n, tc_nat), V_m, tc_nat) | ~c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat), V_m, tc_nat) | ~c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat), V_n, tc_nat) )).
% 13.72/13.93 cnf(matrix-683, plain, ( ~class_Orderings_Olinorder(T_a) | c_lessequals(c_Orderings_Oord__class_Omax(V_x, c_Orderings_Oord__class_Omin(V_y, V_z, T_a), T_a), c_Orderings_Oord__class_Omin(c_Orderings_Oord__class_Omax(V_x, V_y, T_a), c_Orderings_Oord__class_Omax(V_x, V_z, T_a), T_a), T_a) )).
% 13.72/13.93 cnf(matrix-684, 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) )).
% 13.72/13.93 cnf(matrix-685, 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) )).
% 13.72/13.93 cnf(matrix-686, 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_HOL_Oord__class_Oless(V_x_H, V_y_H, T_a) | ~c_HOL_Oord__class_Oless(V_x, V_y, T_a) )).
% 13.72/13.93 cnf(matrix-687, 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_HOL_Oord__class_Oless(V_x, V_y, T_a) | ~c_HOL_Oord__class_Oless(V_x_H, V_y_H, T_a) )).
% 13.72/13.93 cnf(matrix-688, plain, ( ( c_Com_Ocom_OAss(V_vname_H, V_fun_H) != c_Com_Ocom_OSKIP) )).
% 13.72/13.93 cnf(matrix-689, plain, ( ~class_Divides_Osemiring__div(T_a) | ( c_Divides_Odiv__class_Omod(hAPP(hAPP(c_HOL_Oplus__class_Oplus(T_a), c_Divides_Odiv__class_Omod(V_a, V_c, T_a)), V_b), V_c, T_a) = c_Divides_Odiv__class_Omod(hAPP(hAPP(c_HOL_Oplus__class_Oplus(T_a), V_a), V_b), V_c, T_a)) )).
% 13.72/13.93 cnf(matrix-690, plain, ( ~class_Divides_Osemiring__div(T_a) | ( c_Divides_Odiv__class_Omod(hAPP(hAPP(c_HOL_Oplus__class_Oplus(T_a), V_a), c_Divides_Odiv__class_Omod(V_b, V_c, T_a)), V_c, T_a) = c_Divides_Odiv__class_Omod(hAPP(hAPP(c_HOL_Oplus__class_Oplus(T_a), V_a), V_b), V_c, T_a)) )).
% 13.72/13.93 cnf(matrix-691, plain, ( ( hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat), V_n), c_HOL_Ominus__class_Ominus(V_m, V_n, tc_nat)) = V_m) | c_HOL_Oord__class_Oless(V_m, V_n, tc_nat) )).
% 13.72/13.93 cnf(matrix-692, plain, ( c_HOL_Oord__class_Oless(c_HOL_Ominus__class_Ominus(V_n, hAPP(c_Suc, V_i), tc_nat), V_n, tc_nat) | ~c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat), V_n, tc_nat) )).
% 13.72/13.93 cnf(matrix-693, 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) )).
% 13.72/13.93 cnf(matrix-694, plain, ( ( hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat), V_m), V_n) != hAPP(c_Suc, c_HOL_Ozero__class_Ozero(tc_nat))) | ( V_n = hAPP(c_Suc, c_HOL_Ozero__class_Ozero(tc_nat))) | ( V_m = hAPP(c_Suc, c_HOL_Ozero__class_Ozero(tc_nat))) )).
% 13.72/13.93 cnf(matrix-695, plain, ( ( hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat), V_m), V_n) != hAPP(c_Suc, c_HOL_Ozero__class_Ozero(tc_nat))) | ( V_m = c_HOL_Ozero__class_Ozero(tc_nat)) | ( V_n = c_HOL_Ozero__class_Ozero(tc_nat)) )).
% 13.72/13.93 cnf(matrix-696, plain, ( ~class_Orderings_Olinorder(T_a) | ( c_Orderings_Oord__class_Omax(c_Orderings_Oord__class_Omin(V_y, V_z, T_a), V_x, T_a) = c_Orderings_Oord__class_Omin(c_Orderings_Oord__class_Omax(V_y, V_x, T_a), c_Orderings_Oord__class_Omax(V_z, V_x, T_a), T_a)) )).
% 13.72/13.93 cnf(matrix-697, plain, ( ~class_Orderings_Olinorder(T_a) | ( c_Orderings_Oord__class_Omax(V_x, c_Orderings_Oord__class_Omin(V_y, V_z, T_a), T_a) = c_Orderings_Oord__class_Omin(c_Orderings_Oord__class_Omax(V_x, V_y, T_a), c_Orderings_Oord__class_Omax(V_x, V_z, T_a), T_a)) )).
% 13.72/13.93 cnf(matrix-698, plain, ( ~class_Orderings_Oorder(T_a) | c_HOL_Oord__class_Oless(V_b, V_a, T_a) | ( V_a = V_b) | ~c_lessequals(V_b, V_a, T_a) )).
% 13.72/13.93 cnf(matrix-699, plain, ( ~class_Orderings_Oorder(T_a) | c_HOL_Oord__class_Oless(V_b, V_a, T_a) | ~c_lessequals(V_b, V_a, T_a) | ( V_a = V_b) )).
% 13.72/13.93 cnf(matrix-700, plain, ( c_HOL_Oord__class_Oless(V_m, V_n, tc_nat) | ( V_m = V_n) | ~c_lessequals(V_m, V_n, tc_nat) )).
% 13.72/13.93 cnf(matrix-701, plain, ( ( V_m = V_n) | c_HOL_Oord__class_Oless(V_m, V_n, tc_nat) | ~c_lessequals(V_m, V_n, tc_nat) )).
% 13.72/13.93 cnf(matrix-702, plain, ( c_HOL_Oord__class_Oless(V_m, V_n, tc_nat) | ( V_m = V_n) | ~c_lessequals(V_m, V_n, tc_nat) )).
% 13.72/13.93 cnf(matrix-703, plain, ( ~class_Orderings_Oorder(T_a) | ( V_x = V_y) | c_HOL_Oord__class_Oless(V_x, V_y, T_a) | ~c_lessequals(V_x, V_y, T_a) )).
% 13.72/13.93 cnf(matrix-704, plain, ( ~class_Orderings_Oorder(T_a) | c_HOL_Oord__class_Oless(V_x, V_y, T_a) | ( V_x = V_y) | ~c_lessequals(V_x, V_y, T_a) )).
% 13.72/13.93 cnf(matrix-705, plain, ( ~class_Orderings_Oorder(T_a) | c_HOL_Oord__class_Oless(V_a, V_b, T_a) | ( V_a = V_b) | ~c_lessequals(V_a, V_b, T_a) )).
% 13.72/13.93 cnf(matrix-706, plain, ( ~class_Orderings_Oorder(T_a) | c_HOL_Oord__class_Oless(V_a, V_b, T_a) | ~c_lessequals(V_a, V_b, T_a) | ( V_a = V_b) )).
% 13.72/13.93 cnf(matrix-707, plain, ( ~class_Orderings_Olinorder(T_a) | ( V_x = V_y) | ~c_lessequals(V_x, V_y, T_a) | c_HOL_Oord__class_Oless(V_x, V_y, T_a) )).
% 13.72/13.93 cnf(matrix-708, plain, ( ~class_Orderings_Olinorder(T_a) | ( V_x = V_y) | c_HOL_Oord__class_Oless(V_x, V_y, T_a) | ~c_lessequals(V_x, V_y, T_a) )).
% 13.72/13.93 cnf(matrix-709, plain, ( ( c_Com_Ocom_OLocal(V_loc, V_fun, V_com) != c_Com_Ocom_OCall(V_vname_H, V_pname_H, V_fun_H)) )).
% 13.72/13.93 cnf(matrix-710, plain, ( c_Natural_Oevalc(V_c2, V_s, V_t) | c_Natural_Oevalc(V_c1, V_s, V_t) | ~c_Natural_Oevalc(c_Com_Ocom_OCond(V_b, V_c1, V_c2), V_s, V_t) )).
% 13.72/13.93 cnf(matrix-711, plain, ( c_Com_OWT(V_c2) | ~c_Com_OWT(c_Com_Ocom_OCond(V_b, V_c1, V_c2)) )).
% 13.72/13.93 cnf(matrix-712, plain, ( c_Com_OWT(V_c1) | ~c_Com_OWT(c_Com_Ocom_OCond(V_b, V_c1, V_c2)) )).
% 13.72/13.93 cnf(matrix-713, 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)) )).
% 13.72/13.93 cnf(matrix-714, plain, ( ( c_Com_Ocom_OSKIP != c_Com_Ocom_OSemi(V_com1_H, V_com2_H)) )).
% 13.72/13.93 cnf(matrix-715, plain, ( ~class_Orderings_Oorder(T_a) | ~c_HOL_Oord__class_Oless(V_a, V_b, T_a) | ~c_HOL_Oord__class_Oless(V_b, V_a, T_a) )).
% 13.72/13.93 cnf(matrix-716, plain, ( ~class_Orderings_Olinorder(T_a) | ~c_HOL_Oord__class_Oless(V_x, V_y, T_a) | ~c_HOL_Oord__class_Oless(V_y, V_x, T_a) )).
% 13.72/13.93 cnf(matrix-717, plain, ( c_lessequals(V_n, V_m, tc_nat) | c_lessequals(V_m, V_n, tc_nat) )).
% 13.72/13.93 cnf(matrix-718, plain, ( ~class_Orderings_Olinorder(T_a) | c_lessequals(V_y, V_x, T_a) | c_lessequals(V_x, V_y, T_a) )).
% 13.72/13.93 cnf(matrix-719, plain, ( ~class_Orderings_Opreorder(T_a) | ~c_HOL_Oord__class_Oless(V_y, V_x, T_a) | ~c_HOL_Oord__class_Oless(V_x, V_y, T_a) )).
% 13.72/13.93 cnf(matrix-720, plain, ( ~class_Orderings_Opreorder(T_a) | ~c_HOL_Oord__class_Oless(V_b, V_a, T_a) | ~c_HOL_Oord__class_Oless(V_a, V_b, T_a) )).
% 13.72/13.93 cnf(matrix-721, plain, ( ( hAPP(hAPP(V_mul, hAPP(hAPP(V_pwr, V_x), V_q)), V_x) = hAPP(hAPP(V_pwr, V_x), hAPP(c_Suc, V_q))) | ~c_Groebner__Basis_Ogb__semiring(V_add, V_mul, V_pwr, V_r0, V_r1, T_a) )).
% 13.72/13.93 cnf(matrix-722, plain, ( ( hAPP(hAPP(V_mul, V_x), hAPP(hAPP(V_pwr, V_x), V_q)) = hAPP(hAPP(V_pwr, V_x), hAPP(c_Suc, V_q))) | ~c_Groebner__Basis_Ogb__semiring(V_add, V_mul, V_pwr, V_r0, V_r1, T_a) )).
% 13.72/13.93 cnf(matrix-723, plain, ( c_HOL_Oord__class_Oless(hAPP(c_Suc, V_i), V_k, tc_nat) | ~c_HOL_Oord__class_Oless(V_j, V_k, tc_nat) | ~c_HOL_Oord__class_Oless(V_i, V_j, tc_nat) )).
% 13.72/13.93 cnf(matrix-724, plain, ( c_HOL_Oord__class_Oless(V_x, hAPP(c_Suc, V_x), tc_nat) )).
% 13.72/13.93 cnf(matrix-725, plain, ( c_HOL_Oord__class_Oless(V_n, hAPP(c_Suc, V_n), tc_nat) )).
% 13.72/13.93 cnf(matrix-726, plain, ( ( hAPP(c_Suc, V_m) != c_HOL_Ozero__class_Ozero(tc_nat)) )).
% 13.72/13.93 cnf(matrix-727, plain, ( ( hAPP(c_Suc, V_nat_H) != c_HOL_Ozero__class_Ozero(tc_nat)) )).
% 13.72/13.93 cnf(matrix-728, plain, ( c_Natural_Oevaln(V_c, V_s, hAPP(c_Suc, V_n), V_s_H) | ~c_Natural_Oevaln(V_c, V_s, V_n, V_s_H) )).
% 13.72/13.93 cnf(matrix-729, plain, ( ( V_n = V_m) | ~c_HOL_Oord__class_Oless(V_n, hAPP(c_Suc, V_m), tc_nat) | c_HOL_Oord__class_Oless(V_n, V_m, tc_nat) )).
% 13.72/13.93 cnf(matrix-730, plain, ( ( V_m = V_n) | ~c_HOL_Oord__class_Oless(V_n, hAPP(c_Suc, V_m), tc_nat) | c_HOL_Oord__class_Oless(V_n, V_m, tc_nat) )).
% 13.72/13.93 cnf(matrix-731, plain, ( ( V_m = V_n) | c_HOL_Oord__class_Oless(V_m, V_n, tc_nat) | ~c_HOL_Oord__class_Oless(V_m, hAPP(c_Suc, V_n), tc_nat) )).
% 13.72/13.93 cnf(matrix-732, plain, ( ( c_HOL_Ominus__class_Ominus(hAPP(c_Suc, V_m), hAPP(c_Suc, V_n), tc_nat) = c_HOL_Ominus__class_Ominus(V_m, V_n, tc_nat)) )).
% 13.72/13.93 cnf(matrix-733, plain, ( ( c_Nat_Onat_Onat__case(V_f1, V_f2, hAPP(c_Suc, V_nat), T_a) = hAPP(V_f2, V_nat)) )).
% 13.72/13.93 cnf(matrix-734, plain, ( c_Orderings_Oorder__class_Omono(c_Suc, tc_nat, tc_nat) )).
% 13.72/13.93 cnf(matrix-735, plain, ( ( c_Power_Opower_Opower(V_one, V_times, V_a, hAPP(c_Suc, V_n), T_a) = hAPP(hAPP(V_times, V_a), c_Power_Opower_Opower(V_one, V_times, V_a, V_n, T_a))) )).
% 13.72/13.93 cnf(matrix-736, plain, ( c_Fun_Oinj__on(c_Suc, V_N, tc_nat, tc_nat) )).
% 13.72/13.93 cnf(matrix-737, plain, ( ( c_Nat_Onat_Onat__rec(V_f1, V_f2, hAPP(c_Suc, V_nat), T_a) = hAPP(hAPP(V_f2, V_nat), c_Nat_Onat_Onat__rec(V_f1, V_f2, V_nat, T_a))) )).
% 13.72/13.93 cnf(matrix-738, plain, ( ( c_HOL_Ozero__class_Ozero(tc_nat) != hAPP(c_Suc, V_m)) )).
% 13.72/13.93 cnf(matrix-739, plain, ( ( c_HOL_Ozero__class_Ozero(tc_nat) != hAPP(c_Suc, V_nat_H)) )).
% 13.72/13.93 cnf(matrix-740, plain, ( ( hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat), hAPP(c_Suc, V_m)), V_n) = hAPP(c_Suc, hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat), V_m), V_n))) )).
% 13.72/13.93 cnf(matrix-741, plain, ( ( hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat), V_m), hAPP(c_Suc, V_n)) = hAPP(c_Suc, hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat), V_m), V_n))) )).
% 13.72/13.93 cnf(matrix-742, plain, ( ( c_Orderings_Oord__class_Omax(hAPP(c_Suc, V_m), hAPP(c_Suc, V_n), tc_nat) = hAPP(c_Suc, c_Orderings_Oord__class_Omax(V_m, V_n, tc_nat))) )).
% 13.72/13.93 cnf(matrix-743, plain, ( ( c_Divides_Odiv__class_Omod(hAPP(c_Suc, V_m), V_n, tc_nat) = hAPP(c_Suc, c_Divides_Odiv__class_Omod(V_m, V_n, tc_nat))) | ( hAPP(c_Suc, c_Divides_Odiv__class_Omod(V_m, V_n, tc_nat)) = V_n) )).
% 13.72/13.93 cnf(matrix-744, plain, ( ~class_Ring__and__Field_Osemiring__1(T_a) | ( c_Nat_Osemiring__1__class_Oof__nat__aux(V_inc, hAPP(c_Suc, V_n), V_i, T_a) = c_Nat_Osemiring__1__class_Oof__nat__aux(V_inc, V_n, hAPP(V_inc, V_i), T_a)) )).
% 13.72/13.93 cnf(matrix-745, plain, ( ( hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat), hAPP(c_Suc, V_m)), V_n) = hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat), V_m), hAPP(c_Suc, V_n))) )).
% 13.72/13.93 cnf(matrix-746, plain, ( ~hBOOL(hAPP(V_P, c_Nat_Onat_Onat__case(V_f1, V_f2, hAPP(c_Suc, V_xa), t_a))) | hBOOL(hAPP(V_P, hAPP(V_f2, V_xa))) )).
% 13.72/13.93 cnf(matrix-747, plain, ( ~hBOOL(hAPP(V_P, c_Nat_Onat_Onat__case(V_f1, V_f2, hAPP(c_Suc, V_nat), t_a))) | hBOOL(hAPP(V_P, hAPP(V_f2, V_nat))) )).
% 13.72/13.93 cnf(matrix-748, plain, ( c_HOL_Oord__class_Oless(hAPP(c_Suc, V_m), V_n, tc_nat) | ( hAPP(c_Suc, V_m) = V_n) | ~c_HOL_Oord__class_Oless(V_m, V_n, tc_nat) )).
% 13.72/13.93 cnf(matrix-749, plain, ( ~c_lessequals(V_m, V_n, tc_nat) | ~c_lessequals(hAPP(c_Suc, V_n), V_m, tc_nat) )).
% 13.72/13.93 cnf(matrix-750, plain, ( c_lessequals(hAPP(c_Suc, V_n), V_m, tc_nat) | c_lessequals(V_m, V_n, tc_nat) )).
% 13.72/13.93 cnf(matrix-751, plain, ( ( c_HOL_Ominus__class_Ominus(c_HOL_Ominus__class_Ominus(hAPP(c_Suc, V_m), V_n, tc_nat), hAPP(c_Suc, V_k), tc_nat) = c_HOL_Ominus__class_Ominus(c_HOL_Ominus__class_Ominus(V_m, V_n, tc_nat), V_k, tc_nat)) )).
% 13.72/13.93 cnf(matrix-752, plain, ( c_lessequals(hAPP(c_Suc, V_n), hAPP(c_Suc, V_n), tc_nat) )).
% 13.72/13.93 cnf(matrix-753, plain, ( ( c_Orderings_Oord__class_Omin(hAPP(c_Suc, V_m), hAPP(c_Suc, V_n), tc_nat) = hAPP(c_Suc, c_Orderings_Oord__class_Omin(V_m, V_n, tc_nat))) )).
% 13.72/13.93 cnf(matrix-754, plain, ( ( V_m = hAPP(c_Suc, V_n)) | c_lessequals(V_m, V_n, tc_nat) | ~c_lessequals(V_m, hAPP(c_Suc, V_n), tc_nat) )).
% 13.72/13.93 cnf(matrix-755, plain, ( c_HOL_Oord__class_Oless(V_x, V_x, tc_nat) | c_HOL_Oord__class_Oless(V_x, hAPP(c_Suc, V_x), tc_nat) )).
% 13.72/13.93 cnf(matrix-756, plain, ( ~c_HOL_Oord__class_Oless(V_m, V_n, tc_nat) | ~c_HOL_Oord__class_Oless(V_n, hAPP(c_Suc, V_m), tc_nat) )).
% 13.72/13.93 cnf(matrix-757, plain, ( c_HOL_Oord__class_Oless(V_n, hAPP(c_Suc, V_m), tc_nat) | c_HOL_Oord__class_Oless(V_m, V_n, tc_nat) )).
% 13.72/13.93 cnf(matrix-758, plain, ( c_HOL_Oord__class_Oless(hAPP(c_Suc, V_x), hAPP(c_Suc, V_n), tc_nat) | ~c_HOL_Oord__class_Oless(V_x, V_n, tc_nat) )).
% 13.72/13.93 cnf(matrix-759, plain, ( c_HOL_Oord__class_Oless(V_m, V_n, tc_nat) | ~c_HOL_Oord__class_Oless(hAPP(c_Suc, V_m), hAPP(c_Suc, V_n), tc_nat) )).
% 13.72/13.93 cnf(matrix-760, plain, ( c_HOL_Oord__class_Oless(hAPP(c_Suc, V_m), hAPP(c_Suc, V_n), tc_nat) | ~c_HOL_Oord__class_Oless(V_m, V_n, tc_nat) )).
% 13.72/13.93 cnf(matrix-761, plain, ( ( V_n = hAPP(c_Suc, c_Natural_Osko__Natural__Xevaln__elim__cases__6__1(V_P, V_n, V_s, V_s1))) | ~c_Natural_Oevaln(c_Com_Ocom_OBODY(V_P), V_s, V_n, V_s1) )).
% 13.72/13.93 cnf(matrix-762, 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))) )).
% 13.72/13.93 cnf(matrix-763, plain, ( ( hAPP(c_Fun_Oid(t_a), v_x) = v_x) )).
% 13.72/13.93 cnf(matrix-764, 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))) )).
% 13.72/13.93 cnf(matrix-765, plain, ( ( c_Com_Ocom_OBODY(V_pname_H) != c_Com_Ocom_OSKIP) )).
% 13.72/13.93 cnf(matrix-766, plain, ( ( c_Com_Ocom_OWhile(V_fun, V_com) != c_Com_Ocom_OBODY(V_pname_H)) )).
% 13.72/13.93 cnf(matrix-767, 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_OBODY(V_pname), T_a) = hAPP(V_f7, V_pname)) )).
% 13.72/13.93 cnf(matrix-768, plain, ( ( c_Com_Ocom_OBODY(V_pname_H) != c_Com_Ocom_OCond(V_fun, V_com1, V_com2)) )).
% 13.72/13.93 cnf(matrix-769, plain, ( ( c_Com_Ocom_OCond(V_fun, V_com1, V_com2) != c_Com_Ocom_OBODY(V_pname_H)) )).
% 13.72/13.93 cnf(matrix-770, plain, ( ( c_Com_Ocom_OBODY(V_pname_H) != c_Com_Ocom_OAss(V_vname, V_fun)) )).
% 13.72/13.93 cnf(matrix-771, plain, ( ( c_Com_Ocom_OAss(V_vname, V_fun) != c_Com_Ocom_OBODY(V_pname_H)) )).
% 13.72/13.93 cnf(matrix-772, plain, ( ( c_Com_Ocom_OBODY(V_pname_H) != c_Com_Ocom_OLocal(V_loc, V_fun, V_com)) )).
% 13.72/13.93 cnf(matrix-773, plain, ( ( c_Com_Ocom_OBODY(V_pname_H) != c_Com_Ocom_OWhile(V_fun, V_com)) )).
% 13.72/13.93 cnf(matrix-774, plain, ( ( c_Com_Ocom_OCall(V_vname_H, V_pname_H, V_fun_H) != c_Com_Ocom_OBODY(V_pname)) )).
% 13.72/13.93 cnf(matrix-775, plain, ( ( c_Com_Ocom_OBODY(V_pname_H) != c_Com_Ocom_OSemi(V_com1, V_com2)) )).
% 13.72/13.93 cnf(matrix-776, plain, ( ( c_Com_Ocom_OSemi(V_com1, V_com2) != c_Com_Ocom_OBODY(V_pname_H)) )).
% 13.72/13.93 cnf(matrix-777, plain, ( ( c_Com_Ocom_OLocal(V_loc, V_fun, V_com) != c_Com_Ocom_OBODY(V_pname_H)) )).
% 13.72/13.93 cnf(matrix-778, plain, ( ( c_Com_Ocom_OBODY(V_pname) != c_Com_Ocom_OCall(V_vname_H, V_pname_H, V_fun_H)) )).
% 13.72/13.93 cnf(matrix-779, 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_OBODY(V_pname), T_a) = hAPP(V_f7, V_pname)) )).
% 13.72/13.93 cnf(matrix-780, plain, ( ( c_Com_Ocom_OSKIP != c_Com_Ocom_OBODY(V_pname_H)) )).
% 13.72/13.93 cnf(matrix-781, plain, ( ~hBOOL(hAPP(V_P, c_Hoare__Mirabelle_Otriple_Otriple__case(V_f1, c_Hoare__Mirabelle_Otriple_Otriple(V_xa, V_xb, V_xc, t_b), t_b, t_a))) | hBOOL(hAPP(V_P, hAPP(hAPP(hAPP(V_f1, V_xa), V_xb), V_xc))) )).
% 13.72/13.93 cnf(matrix-782, plain, ( ~hBOOL(hAPP(V_P, c_Hoare__Mirabelle_Otriple_Otriple__case(V_f1, c_Hoare__Mirabelle_Otriple_Otriple(V_fun1, V_com, V_fun2, t_b), t_b, t_a))) | hBOOL(hAPP(V_P, hAPP(hAPP(hAPP(V_f1, V_fun1), V_com), V_fun2))) )).
% 13.72/13.93 cnf(matrix-783, plain, ( ( c_Hoare__Mirabelle_Otriple_Otriple__rec(V_f1, c_Hoare__Mirabelle_Otriple_Otriple(V_fun1, V_com, V_fun2, T_b), T_b, T_a) = hAPP(hAPP(hAPP(V_f1, V_fun1), V_com), V_fun2)) )).
% 13.72/13.93 cnf(matrix-784, plain, ( ( c_Hoare__Mirabelle_Otriple_Otriple__case(V_f1, c_Hoare__Mirabelle_Otriple_Otriple(V_fun1, V_com, V_fun2, T_b), T_b, T_a) = hAPP(hAPP(hAPP(V_f1, V_fun1), V_com), V_fun2)) )).
% 13.72/13.93 cnf(matrix-785, plain, ( ( hAPP(c_COMBI(t_a), v_P) = v_P) )).
% 13.72/13.93 cnf(matrix-786, plain, ( c_Hoare__Mirabelle_Otriple__valid(V_n, c_Hoare__Mirabelle_Otriple_Otriple(V_P, V_c, V_Q, t_a), t_a) | ~hBOOL(hAPP(hAPP(V_Q, v_sko__Hoare__Mirabelle__Xtriple__valid__def2__1(V_P, V_Q, V_c, V_n)), v_sko__Hoare__Mirabelle__Xtriple__valid__def2__3(V_P, V_Q, V_c, V_n))) )).
% 13.72/13.93 cnf(matrix-787, plain, ( c_Hoare__Mirabelle_Otriple__valid(V_n, c_Hoare__Mirabelle_Otriple_Otriple(V_P, V_c, V_Q, t_a), t_a) | hBOOL(hAPP(hAPP(V_P, v_sko__Hoare__Mirabelle__Xtriple__valid__def2__1(V_P, V_Q, V_c, V_n)), v_sko__Hoare__Mirabelle__Xtriple__valid__def2__2(V_P, V_Q, V_c, V_n))) )).
% 13.72/13.93 cnf(matrix-788, plain, ( c_Com_OWT(c_Com_Ocom_OBODY(V_pn)) | ( c_Com_Obody(V_pn) = c_Option_Ooption_ONone(tc_Com_Ocom)) )).
% 13.72/13.93 cnf(matrix-789, plain, ( ( c_COMBB(v_P, v_Q, v_R, t_a, t_b, t_c) = hAPP(v_P, hAPP(v_Q, v_R))) )).
% 13.72/13.93 cnf(matrix-790, plain, ( ( c_COMBS(v_P, v_Q, v_R, t_a, t_b, t_c) = hAPP(hAPP(v_P, v_R), hAPP(v_Q, v_R))) )).
% 13.72/13.93 cnf(matrix-791, plain, ( ( c_COMBC(v_P, v_Q, v_R, t_a, t_b, t_c) = hAPP(hAPP(v_P, v_R), v_Q)) )).
% 13.72/13.93 cnf(matrix-792, plain, ( c_Hoare__Mirabelle_Otriple__valid(V_n, V_na, t_a) | ~hBOOL(c_in(V_na, V_ts, tc_Hoare__Mirabelle_Otriple(t_a))) | hBOOL(c_in(v_sko__Hoare__Mirabelle__Xhoare__valids__def__1(V_G, V_n), V_G, tc_Hoare__Mirabelle_Otriple(t_a))) | ~c_Hoare__Mirabelle_Ohoare__valids(V_G, V_ts, t_a) )).
% 13.72/13.93 cnf(matrix-793, plain, ( c_Hoare__Mirabelle_Ohoare__valids(V_G, V_ts, t_a) | c_Hoare__Mirabelle_Otriple__valid(v_sko__Hoare__Mirabelle__Xhoare__valids__def__2(V_G, V_ts), V_x, t_a) | ~hBOOL(c_in(V_x, V_G, tc_Hoare__Mirabelle_Otriple(t_a))) )).
% 13.72/13.93 cnf(matrix-794, plain, ( c_Hoare__Mirabelle_Otriple__valid(V_n, V_nb, t_a) | ~hBOOL(c_in(V_nb, V_ts, tc_Hoare__Mirabelle_Otriple(t_a))) | ~c_Hoare__Mirabelle_Otriple__valid(V_n, v_sko__Hoare__Mirabelle__Xhoare__valids__def__1(V_G, V_n), t_a) | ~c_Hoare__Mirabelle_Ohoare__valids(V_G, V_ts, t_a) )).
% 13.72/13.93 cnf(matrix-795, plain, ( ( c_Option_Othe(c_Option_Ooption_OSome(V_x, T_a), T_a) = V_x) )).
% 13.72/13.93 cnf(matrix-796, plain, ( c_Hoare__Mirabelle_Ohoare__derivs(V_G, c_Set_Oinsert(c_Hoare__Mirabelle_Otriple_Otriple(V_P, c_Com_Ocom_OBODY(V_pn), V_Q, T_a), c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(T_a), tc_bool)), tc_Hoare__Mirabelle_Otriple(T_a)), T_a) | ~c_Hoare__Mirabelle_Ohoare__derivs(c_Set_Oinsert(c_Hoare__Mirabelle_Otriple_Otriple(V_P, c_Com_Ocom_OBODY(V_pn), V_Q, T_a), V_G, tc_Hoare__Mirabelle_Otriple(T_a)), c_Set_Oinsert(c_Hoare__Mirabelle_Otriple_Otriple(V_P, c_Option_Othe(c_Com_Obody(V_pn), tc_Com_Ocom), V_Q, T_a), c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(T_a), tc_bool)), tc_Hoare__Mirabelle_Otriple(T_a)), T_a) )).
% 13.72/13.93 cnf(matrix-797, plain, ( c_Hoare__Mirabelle_Ohoare__derivs(V_G, c_Set_Oinsert(c_Hoare__Mirabelle_Otriple_Otriple(V_P, c_Com_Ocom_OBODY(V_pn), V_Q, T_a), c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(T_a), tc_bool)), tc_Hoare__Mirabelle_Otriple(T_a)), T_a) | ~c_Hoare__Mirabelle_Ohoare__derivs(V_G, c_Set_Oinsert(c_Hoare__Mirabelle_Otriple_Otriple(V_P, c_Option_Othe(c_Com_Obody(V_pn), tc_Com_Ocom), V_Q, T_a), c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(T_a), tc_bool)), tc_Hoare__Mirabelle_Otriple(T_a)), T_a) )).
% 13.72/13.93 cnf(matrix-798, plain, ( c_Natural_Oevaln(c_Option_Othe(c_Com_Obody(V_P), tc_Com_Ocom), V_s, c_Natural_Osko__Natural__Xevaln__elim__cases__6__1(V_P, V_n, V_s, V_s1), V_s1) | ~c_Natural_Oevaln(c_Com_Ocom_OBODY(V_P), V_s, V_n, V_s1) )).
% 13.72/13.93 cnf(matrix-799, plain, ( ( hAPP(c_Orderings_Obot__class_Obot(tc_fun(t_a, tc_bool)), v_x) = c_in(v_x, c_Orderings_Obot__class_Obot(tc_fun(t_a, tc_bool)), t_a)) )).
% 13.72/13.93 cnf(matrix-800, 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, c_Hoare__Mirabelle_Otriple_Otriple(V_P, V_c, V_Q, t_a), t_a) )).
% 13.72/13.93 cnf(matrix-801, plain, ( ( hAPP(c_COMBK(v_P, t_a, t_b), v_Q) = v_P) )).
% 13.72/13.93 cnf(matrix-802, plain, ( c_Hoare__Mirabelle_Otriple__valid(V_n, V_x, t_a) | ~hBOOL(c_in(V_x, V_ts, tc_Hoare__Mirabelle_Otriple(t_a))) | hBOOL(c_in(v_sko__Hoare__Mirabelle__Xtriples__valid__Suc__1(V_n, V_ts), V_ts, tc_Hoare__Mirabelle_Otriple(t_a))) )).
% 13.72/13.93 cnf(matrix-803, plain, ( c_Hoare__Mirabelle_Otriple__valid(c_HOL_Ozero__class_Ozero(tc_nat), c_Hoare__Mirabelle_Otriple_Otriple(V_P, c_Com_Ocom_OBODY(V_pn), V_Q, T_a), T_a) )).
% 13.72/13.93 cnf(matrix-804, plain, ( c_Hoare__Mirabelle_Otriple__valid(V_n, V_xa, t_a) | ~hBOOL(c_in(V_xa, V_ts, tc_Hoare__Mirabelle_Otriple(t_a))) | ~c_Hoare__Mirabelle_Otriple__valid(hAPP(c_Suc, V_n), v_sko__Hoare__Mirabelle__Xtriples__valid__Suc__1(V_n, V_ts), t_a) )).
% 13.72/13.93 cnf(matrix-805, plain, ( c_Natural_Oevalc(c_Com_Ocom_OBODY(V_pn), V_s0, V_s1) | ~c_Natural_Oevalc(c_Option_Othe(c_Com_Obody(V_pn), tc_Com_Ocom), V_s0, V_s1) )).
% 13.72/13.93 cnf(matrix-806, plain, ( c_Natural_Oevalc(c_Option_Othe(c_Com_Obody(V_P), tc_Com_Ocom), V_s, V_s1) | ~c_Natural_Oevalc(c_Com_Ocom_OBODY(V_P), V_s, V_s1) )).
% 13.72/13.93 cnf(matrix-807, plain, ( c_Natural_Oevaln(c_Com_Ocom_OBODY(V_pn), V_s0, hAPP(c_Suc, V_n), V_s1) | ~c_Natural_Oevaln(c_Option_Othe(c_Com_Obody(V_pn), tc_Com_Ocom), V_s0, V_n, V_s1) )).
% 13.72/13.93 cnf(matrix-808, plain, ( ( V_n != hAPP(c_Suc, V_n)) )).
% 13.72/13.93 cnf(matrix-809, plain, ( ( hAPP(c_Suc, V_n) != V_n) )).
% 13.72/13.93 cnf(matrix-810, plain, ( ( c_Hoare__Mirabelle_Otriple_Otriple(V_fun1, V_com, V_fun2, T_a) != c_Hoare__Mirabelle_Otriple_Otriple(V_fun1_H, V_com_H, V_fun2_H, T_a)) | ( V_fun2 = V_fun2_H) )).
% 13.72/13.93 cnf(matrix-811, plain, ( ( c_Hoare__Mirabelle_Otriple_Otriple(V_fun1, V_com, V_fun2, T_a) != c_Hoare__Mirabelle_Otriple_Otriple(V_fun1_H, V_com_H, V_fun2_H, T_a)) | ( V_com = V_com_H) )).
% 13.72/13.93 cnf(matrix-812, plain, ( ( c_Hoare__Mirabelle_Otriple_Otriple(V_fun1, V_com, V_fun2, T_a) != c_Hoare__Mirabelle_Otriple_Otriple(V_fun1_H, V_com_H, V_fun2_H, T_a)) | ( V_fun1 = V_fun1_H) )).
% 13.72/13.93 cnf(matrix-813, plain, ( ( hAPP(c_Suc, V_nat) != hAPP(c_Suc, V_nat_H)) | ( V_nat = V_nat_H) )).
% 13.72/13.93 cnf(matrix-814, plain, ( ( hAPP(c_Suc, V_x) != hAPP(c_Suc, V_y)) | ( V_x = V_y) )).
% 13.72/13.93 cnf(matrix-815, plain, ( c_Hoare__Mirabelle_Otriple__valid(V_n, V_t, T_a) | ~c_Hoare__Mirabelle_Otriple__valid(hAPP(c_Suc, V_n), V_t, T_a) )).
% 13.72/13.93 cnf(matrix-816, plain, ( hBOOL(c_in(V_x, V_S, T_a)) | ~hBOOL(hAPP(V_S, V_x)) )).
% 13.72/13.93 cnf(matrix-817, plain, ( hBOOL(hAPP(V_S, V_x)) | ~hBOOL(c_in(V_x, V_S, T_a)) )).
% 13.72/13.93 cnf(matrix-818, plain, ( c_Hoare__Mirabelle_Otriple__valid(hAPP(c_Suc, V_n), c_Hoare__Mirabelle_Otriple_Otriple(V_P, c_Com_Ocom_OBODY(V_pn), V_Q, T_a), T_a) | ~c_Hoare__Mirabelle_Otriple__valid(V_n, c_Hoare__Mirabelle_Otriple_Otriple(V_P, c_Option_Othe(c_Com_Obody(V_pn), tc_Com_Ocom), V_Q, T_a), T_a) )).
% 13.72/13.93 cnf(matrix-819, plain, ( c_Hoare__Mirabelle_Otriple__valid(V_n, c_Hoare__Mirabelle_Otriple_Otriple(V_P, c_Option_Othe(c_Com_Obody(V_pn), tc_Com_Ocom), V_Q, T_a), T_a) | ~c_Hoare__Mirabelle_Otriple__valid(hAPP(c_Suc, V_n), c_Hoare__Mirabelle_Otriple_Otriple(V_P, c_Com_Ocom_OBODY(V_pn), V_Q, T_a), T_a) )).
% 13.72/13.93 cnf(matrix-820, plain, ( ( c_Com_Ocom_OBODY(V_pname) != c_Com_Ocom_OBODY(V_pname_H)) | ( V_pname = V_pname_H) )).
% 13.72/13.93 cnf(matrix-821, plain, ( hBOOL(c_in(v_x, v_Procs, tc_Com_Opname)) )).
% 13.72/13.93 cnf(matrix-822, plain, ( ~c_Hoare__Mirabelle_Otriple__valid(hAPP(c_Suc, v_na), c_Hoare__Mirabelle_Otriple_Otriple(hAPP(v_P, v_x), c_Com_Ocom_OBODY(v_x), hAPP(v_Q, v_x), t_a), t_a) )).
% 13.72/13.93 cnf(matrix-823, plain, ( c_Hoare__Mirabelle_Otriple__valid(v_na, V_x, t_a) | ~hBOOL(c_in(V_x, v_G, tc_Hoare__Mirabelle_Otriple(t_a))) )).
% 13.72/13.93 cnf(matrix-824, plain, ( c_Hoare__Mirabelle_Otriple__valid(v_na, c_Hoare__Mirabelle_Otriple_Otriple(hAPP(v_P, V_x), c_Com_Ocom_OBODY(V_x), hAPP(v_Q, V_x), t_a), t_a) | ~hBOOL(c_in(V_x, v_Procs, tc_Com_Opname)) )).
% 13.72/13.93 cnf(matrix-825, plain, ( c_Hoare__Mirabelle_Otriple__valid(v_na, c_Hoare__Mirabelle_Otriple_Otriple(hAPP(v_P, V_x), c_Option_Othe(c_Com_Obody(V_x), tc_Com_Ocom), hAPP(v_Q, V_x), t_a), t_a) | ~hBOOL(c_in(V_x, v_Procs, tc_Com_Opname)) )).
% 13.72/13.93 cnf(matrix-826, plain, ( class_Orderings_Opreorder(tc_fun(T_2, T_1)) | ~class_Orderings_Opreorder(T_1) )).
% 13.72/13.93 cnf(matrix-827, plain, ( class_Orderings_Oorder(tc_fun(T_2, T_1)) | ~class_Orderings_Oorder(T_1) )).
% 13.72/13.93 cnf(matrix-828, plain, ( class_Orderings_Obot(tc_fun(T_2, T_1)) | ~class_Orderings_Obot(T_1) )).
% 13.72/13.93 cnf(matrix-829, plain, ( class_OrderedGroup_Opordered__cancel__ab__semigroup__add(tc_nat) )).
% 13.72/13.93 cnf(matrix-830, plain, ( class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(tc_nat) )).
% 13.72/13.93 cnf(matrix-831, plain, ( class_OrderedGroup_Opordered__ab__semigroup__add(tc_nat) )).
% 13.72/13.93 cnf(matrix-832, plain, ( class_OrderedGroup_Opordered__comm__monoid__add(tc_nat) )).
% 13.72/13.93 cnf(matrix-833, plain, ( class_OrderedGroup_Ocancel__ab__semigroup__add(tc_nat) )).
% 13.72/13.93 cnf(matrix-834, plain, ( class_OrderedGroup_Ocancel__semigroup__add(tc_nat) )).
% 13.72/13.93 cnf(matrix-835, plain, ( class_Ring__and__Field_Oordered__semidom(tc_nat) )).
% 13.72/13.93 cnf(matrix-836, plain, ( class_Ring__and__Field_Ocomm__semiring__1(tc_nat) )).
% 13.72/13.93 cnf(matrix-837, plain, ( class_OrderedGroup_Oab__semigroup__add(tc_nat) )).
% 13.72/13.93 cnf(matrix-838, plain, ( class_OrderedGroup_Ocomm__monoid__add(tc_nat) )).
% 13.72/13.93 cnf(matrix-839, plain, ( class_Ring__and__Field_Osemiring__1(tc_nat) )).
% 13.72/13.93 cnf(matrix-840, plain, ( class_OrderedGroup_Omonoid__add(tc_nat) )).
% 13.72/13.93 cnf(matrix-841, plain, ( class_Divides_Osemiring__div(tc_nat) )).
% 13.72/13.93 cnf(matrix-842, plain, ( class_Orderings_Opreorder(tc_nat) )).
% 13.72/13.93 cnf(matrix-843, plain, ( class_Orderings_Olinorder(tc_nat) )).
% 13.72/13.93 cnf(matrix-844, plain, ( class_Orderings_Oorder(tc_nat) )).
% 13.72/13.93 cnf(matrix-845, plain, ( class_Orderings_Obot(tc_nat) )).
% 13.72/13.93 cnf(matrix-846, plain, ( class_Orderings_Opreorder(tc_bool) )).
% 13.72/13.93 cnf(matrix-847, plain, ( class_Orderings_Oorder(tc_bool) )).
% 13.72/13.93 cnf(matrix-848, plain, ( class_Orderings_Obot(tc_bool) )).
% 13.72/13.93 cnf(matrix-849, plain, ( c_fequal(V_x, V_x, T_a) )).
% 13.72/13.93 cnf(matrix-850, plain, ( ( V_X = V_Y) | ~c_fequal(V_X, V_Y, T_a) )).
% 13.72/13.93
% 13.72/13.93 % Proof stack:
% 13.72/13.93 cnf(proof-stack, plain,
% 13.72/13.93 proof_stack(
% 13.72/13.93 start(825),
% 13.72/13.93 left_branch(0, 818, 1, 2),
% 13.72/13.93 left_branch(0, 822, 0, 3),
% 13.72/13.93 right_branch(3),
% 13.72/13.93 right_branch(2),
% 13.72/13.93 left_branch(0, 821, 0, 3),
% 13.72/13.93 right_branch(3)
% 13.72/13.93 )).
% 13.72/13.93 % SZS output end Proof for theBenchmark
%------------------------------------------------------------------------------