TSTP Solution File: SWV919-1 by ConnectPP---0.2.2
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- Process Solution
%------------------------------------------------------------------------------
% File : ConnectPP---0.2.2
% Problem : SWV919-1 : TPTP v8.1.2. Released v4.1.0.
% Transfm : none
% Format : tptp:raw
% Command : connect++ --verbosity 0 --no-colour --tptp-proof --schedule default %s
% Computer : n028.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8042.1875MB
% OS : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Wed Mar 6 09:25:23 EST 2024
% Result : Unsatisfiable 12.31s 12.52s
% Output : Proof 12.31s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : SWV919-1 : TPTP v8.1.2. Released v4.1.0.
% 0.07/0.13 % Command : connect++ --verbosity 0 --no-colour --tptp-proof --schedule default %s
% 0.12/0.33 % Computer : n028.cluster.edu
% 0.12/0.33 % Model : x86_64 x86_64
% 0.12/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.33 % Memory : 8042.1875MB
% 0.12/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.33 % CPULimit : 300
% 0.12/0.33 % WCLimit : 300
% 0.12/0.33 % DateTime : Mon Mar 4 11:11:19 EST 2024
% 0.12/0.33 % CPUTime :
% 12.31/12.52 % SZS status Unsatisfiable for theBenchmark
% 12.31/12.52 % SZS output start Proof for theBenchmark
% 12.31/12.52
% 12.31/12.52 % Problem matrix:
% 12.31/12.52 cnf(matrix-0, plain, ( ( __eqx_0 = __eqx_0) )).
% 12.31/12.52 cnf(matrix-1, plain, ( ( __eqx_0 != __eqx_1) | ( __eqx_1 = __eqx_0) )).
% 12.31/12.52 cnf(matrix-2, plain, ( ( __eqx_0 != __eqx_1) | ( __eqx_1 != __eqx_2) | ( __eqx_0 = __eqx_2) )).
% 12.31/12.52 cnf(matrix-3, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( c_Set_Oinsert(__eqx_0, __eqx_1, __eqx_2) = c_Set_Oinsert(__eqy_0, __eqy_1, __eqy_2)) )).
% 12.31/12.52 cnf(matrix-4, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( tc_fun(__eqx_0, __eqx_1) = tc_fun(__eqy_0, __eqy_1)) )).
% 12.31/12.52 cnf(matrix-5, plain, ( ( __eqx_0 != __eqy_0) | ( c_Orderings_Obot__class_Obot(__eqx_0) = c_Orderings_Obot__class_Obot(__eqy_0)) )).
% 12.31/12.52 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)) )).
% 12.31/12.52 cnf(matrix-7, 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)) )).
% 12.31/12.52 cnf(matrix-8, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( hAPP(__eqx_0, __eqx_1) = hAPP(__eqy_0, __eqy_1)) )).
% 12.31/12.52 cnf(matrix-9, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( __eqx_3 != __eqy_3) | ( c_Set_Oimage(__eqx_0, __eqx_1, __eqx_2, __eqx_3) = c_Set_Oimage(__eqy_0, __eqy_1, __eqy_2, __eqy_3)) )).
% 12.31/12.52 cnf(matrix-10, plain, ( ( __eqx_0 != __eqy_0) | ( c_Orderings_Otop__class_Otop(__eqx_0) = c_Orderings_Otop__class_Otop(__eqy_0)) )).
% 12.31/12.52 cnf(matrix-11, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( __eqx_3 != __eqy_3) | ( c_Expr_Oexp_OFAcc(__eqx_0, __eqx_1, __eqx_2, __eqx_3) = c_Expr_Oexp_OFAcc(__eqy_0, __eqy_1, __eqy_2, __eqy_3)) )).
% 12.31/12.52 cnf(matrix-12, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( c_Expr_Oexp_OVal(__eqx_0, __eqx_1) = c_Expr_Oexp_OVal(__eqy_0, __eqy_1)) )).
% 12.31/12.52 cnf(matrix-13, plain, ( ( __eqx_0 != __eqy_0) | ( tc_List_Olist(__eqx_0) = tc_List_Olist(__eqy_0)) )).
% 12.31/12.52 cnf(matrix-14, plain, ( ( __eqx_0 != __eqy_0) | ( c_Option_Ooption_ONone(__eqx_0) = c_Option_Ooption_ONone(__eqy_0)) )).
% 12.31/12.52 cnf(matrix-15, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( c_Map_Odom(__eqx_0, __eqx_1, __eqx_2) = c_Map_Odom(__eqy_0, __eqy_1, __eqy_2)) )).
% 12.31/12.52 cnf(matrix-16, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( __eqx_3 != __eqy_3) | ( __eqx_4 != __eqy_4) | ( c_Expr_Oexp_OFAss(__eqx_0, __eqx_1, __eqx_2, __eqx_3, __eqx_4) = c_Expr_Oexp_OFAss(__eqy_0, __eqy_1, __eqy_2, __eqy_3, __eqy_4)) )).
% 12.31/12.52 cnf(matrix-17, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( __eqx_3 != __eqy_3) | ( c_Map_Orestrict__map(__eqx_0, __eqx_1, __eqx_2, __eqx_3) = c_Map_Orestrict__map(__eqy_0, __eqy_1, __eqy_2, __eqy_3)) )).
% 12.31/12.52 cnf(matrix-18, plain, ( ( __eqx_0 != __eqy_0) | ( tc_Option_Ooption(__eqx_0) = tc_Option_Ooption(__eqy_0)) )).
% 12.31/12.52 cnf(matrix-19, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( __eqx_3 != __eqy_3) | ( __eqx_4 != __eqy_4) | ( c_Fun_Ofun__upd(__eqx_0, __eqx_1, __eqx_2, __eqx_3, __eqx_4) = c_Fun_Ofun__upd(__eqy_0, __eqy_1, __eqy_2, __eqy_3, __eqy_4)) )).
% 12.31/12.52 cnf(matrix-20, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( __eqx_3 != __eqy_3) | ( c_List_Ozip(__eqx_0, __eqx_1, __eqx_2, __eqx_3) = c_List_Ozip(__eqy_0, __eqy_1, __eqy_2, __eqy_3)) )).
% 12.31/12.52 cnf(matrix-21, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( c_Map_Omap__of(__eqx_0, __eqx_1, __eqx_2) = c_Map_Omap__of(__eqy_0, __eqy_1, __eqy_2)) )).
% 12.31/12.52 cnf(matrix-22, plain, ( ( __eqx_0 != __eqy_0) | ( c_Option_Ooption_OSome(__eqx_0) = c_Option_Ooption_OSome(__eqy_0)) )).
% 12.31/12.52 cnf(matrix-23, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( c_Nat_Osize__class_Osize(__eqx_0, __eqx_1) = c_Nat_Osize__class_Osize(__eqy_0, __eqy_1)) )).
% 12.31/12.52 cnf(matrix-24, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( c_List_Oset(__eqx_0, __eqx_1) = c_List_Oset(__eqy_0, __eqy_1)) )).
% 12.31/12.52 cnf(matrix-25, plain, ( ( __eqx_0 != __eqy_0) | ( c_Fun_Oid(__eqx_0) = c_Fun_Oid(__eqy_0)) )).
% 12.31/12.52 cnf(matrix-26, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( c_List_Olist_OCons(__eqx_0, __eqx_1, __eqx_2) = c_List_Olist_OCons(__eqy_0, __eqy_1, __eqy_2)) )).
% 12.31/12.52 cnf(matrix-27, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( c_List_Ofilter(__eqx_0, __eqx_1, __eqx_2) = c_List_Ofilter(__eqy_0, __eqy_1, __eqy_2)) )).
% 12.31/12.52 cnf(matrix-28, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( c_Option_Oset(__eqx_0, __eqx_1) = c_Option_Oset(__eqy_0, __eqy_1)) )).
% 12.31/12.52 cnf(matrix-29, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( __eqx_3 != __eqy_3) | ( __eqx_4 != __eqy_4) | ( c_ATP__Linkup_Osko__Fun__Xinj__on__image__iff__1__1(__eqx_0, __eqx_1, __eqx_2, __eqx_3, __eqx_4) = c_ATP__Linkup_Osko__Fun__Xinj__on__image__iff__1__1(__eqy_0, __eqy_1, __eqy_2, __eqy_3, __eqy_4)) )).
% 12.31/12.52 cnf(matrix-30, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( __eqx_3 != __eqy_3) | ( __eqx_4 != __eqy_4) | ( c_ATP__Linkup_Osko__Fun__Xinj__on__image__iff__1__2(__eqx_0, __eqx_1, __eqx_2, __eqx_3, __eqx_4) = c_ATP__Linkup_Osko__Fun__Xinj__on__image__iff__1__2(__eqy_0, __eqy_1, __eqy_2, __eqy_3, __eqy_4)) )).
% 12.31/12.52 cnf(matrix-31, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( __eqx_3 != __eqy_3) | ( __eqx_4 != __eqy_4) | ( c_Fun_Ocomp(__eqx_0, __eqx_1, __eqx_2, __eqx_3, __eqx_4) = c_Fun_Ocomp(__eqy_0, __eqy_1, __eqy_2, __eqy_3, __eqy_4)) )).
% 12.31/12.52 cnf(matrix-32, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( __eqx_3 != __eqy_3) | ( c_Fun_Othe__inv__into(__eqx_0, __eqx_1, __eqx_2, __eqx_3) = c_Fun_Othe__inv__into(__eqy_0, __eqy_1, __eqy_2, __eqy_3)) )).
% 12.31/12.52 cnf(matrix-33, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( __eqx_3 != __eqy_3) | ( __eqx_4 != __eqy_4) | ( c_Option_Ooption_Ooption__case(__eqx_0, __eqx_1, __eqx_2, __eqx_3, __eqx_4) = c_Option_Ooption_Ooption__case(__eqy_0, __eqy_1, __eqy_2, __eqy_3, __eqy_4)) )).
% 12.31/12.52 cnf(matrix-34, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( v_sko__Option__Xoption__Xsplit__1(__eqx_0, __eqx_1, __eqx_2) = v_sko__Option__Xoption__Xsplit__1(__eqy_0, __eqy_1, __eqy_2)) )).
% 12.31/12.52 cnf(matrix-35, plain, ( ( __eqx_0 != __eqy_0) | ( c_Value_Oval_OAddr(__eqx_0) = c_Value_Oval_OAddr(__eqy_0)) )).
% 12.31/12.52 cnf(matrix-36, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( __eqx_3 != __eqy_3) | ( c_Hilbert__Choice_Oinv__into(__eqx_0, __eqx_1, __eqx_2, __eqx_3) = c_Hilbert__Choice_Oinv__into(__eqy_0, __eqy_1, __eqy_2, __eqy_3)) )).
% 12.31/12.52 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_Ooverride__on(__eqx_0, __eqx_1, __eqx_2, __eqx_3, __eqx_4) = c_Fun_Ooverride__on(__eqy_0, __eqy_1, __eqy_2, __eqy_3, __eqy_4)) )).
% 12.31/12.52 cnf(matrix-38, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( c_Pair(__eqx_0, __eqx_1) = c_Pair(__eqy_0, __eqy_1)) )).
% 12.31/12.52 cnf(matrix-39, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( tc_prod(__eqx_0, __eqx_1) = tc_prod(__eqy_0, __eqy_1)) )).
% 12.31/12.52 cnf(matrix-40, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( c_COMBK(__eqx_0, __eqx_1, __eqx_2) = c_COMBK(__eqy_0, __eqy_1, __eqy_2)) )).
% 12.31/12.52 cnf(matrix-41, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( __eqx_3 != __eqy_3) | ( c_Map_Osko__Map__Xdom__eq__singleton__conv__1__1(__eqx_0, __eqx_1, __eqx_2, __eqx_3) = c_Map_Osko__Map__Xdom__eq__singleton__conv__1__1(__eqy_0, __eqy_1, __eqy_2, __eqy_3)) )).
% 12.31/12.52 cnf(matrix-42, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( __eqx_3 != __eqy_3) | ( __eqx_4 != __eqy_4) | ( c_ATP__Linkup_Osko__Option__Xoption__Xcase__cong__1__1(__eqx_0, __eqx_1, __eqx_2, __eqx_3, __eqx_4) = c_ATP__Linkup_Osko__Option__Xoption__Xcase__cong__1__1(__eqy_0, __eqy_1, __eqy_2, __eqy_3, __eqy_4)) )).
% 12.31/12.52 cnf(matrix-43, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( __eqx_3 != __eqy_3) | ( c_Finite__Set_Osetsum(__eqx_0, __eqx_1, __eqx_2, __eqx_3) = c_Finite__Set_Osetsum(__eqy_0, __eqy_1, __eqy_2, __eqy_3)) )).
% 12.31/12.52 cnf(matrix-44, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( v_sko__Option__Xoption__Xsplit__asm__1(__eqx_0, __eqx_1, __eqx_2) = v_sko__Option__Xoption__Xsplit__asm__1(__eqy_0, __eqy_1, __eqy_2)) )).
% 12.31/12.52 cnf(matrix-45, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( __eqx_3 != __eqy_3) | ( __eqx_4 != __eqy_4) | ( c_Conform_Osko__Conform__Xconf__def__1__1(__eqx_0, __eqx_1, __eqx_2, __eqx_3, __eqx_4) = c_Conform_Osko__Conform__Xconf__def__1__1(__eqy_0, __eqy_1, __eqy_2, __eqy_3, __eqy_4)) )).
% 12.31/12.52 cnf(matrix-46, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( __eqx_3 != __eqy_3) | ( c_Finite__Set_Osetprod(__eqx_0, __eqx_1, __eqx_2, __eqx_3) = c_Finite__Set_Osetprod(__eqy_0, __eqy_1, __eqy_2, __eqy_3)) )).
% 12.31/12.52 cnf(matrix-47, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( c_Map_Oran(__eqx_0, __eqx_1, __eqx_2) = c_Map_Oran(__eqy_0, __eqy_1, __eqy_2)) )).
% 12.31/12.52 cnf(matrix-48, 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_TypeRel_Osko__TypeRel__Xhas__field__def__1__1(__eqx_0, __eqx_1, __eqx_2, __eqx_3, __eqx_4, __eqx_5) = c_TypeRel_Osko__TypeRel__Xhas__field__def__1__1(__eqy_0, __eqy_1, __eqy_2, __eqy_3, __eqy_4, __eqy_5)) )).
% 12.31/12.52 cnf(matrix-49, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( __eqx_3 != __eqy_3) | ( c_Map_Omap__add(__eqx_0, __eqx_1, __eqx_2, __eqx_3) = c_Map_Omap__add(__eqy_0, __eqy_1, __eqy_2, __eqy_3)) )).
% 12.31/12.52 cnf(matrix-50, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( __eqx_3 != __eqy_3) | ( __eqx_4 != __eqy_4) | ( c_Map_Omap__upds(__eqx_0, __eqx_1, __eqx_2, __eqx_3, __eqx_4) = c_Map_Omap__upds(__eqy_0, __eqy_1, __eqy_2, __eqy_3, __eqy_4)) )).
% 12.31/12.52 cnf(matrix-51, 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_Product__Type_Oscomp(__eqx_0, __eqx_1, __eqx_2, __eqx_3, __eqx_4, __eqx_5) = c_Product__Type_Oscomp(__eqy_0, __eqy_1, __eqy_2, __eqy_3, __eqy_4, __eqy_5)) )).
% 12.31/12.52 cnf(matrix-52, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( c_split(__eqx_0, __eqx_1, __eqx_2) = c_split(__eqy_0, __eqy_1, __eqy_2)) )).
% 12.31/12.52 cnf(matrix-53, 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_Map_Omap__comp(__eqx_0, __eqx_1, __eqx_2, __eqx_3, __eqx_4, __eqx_5) = c_Map_Omap__comp(__eqy_0, __eqy_1, __eqy_2, __eqy_3, __eqy_4, __eqy_5)) )).
% 12.31/12.52 cnf(matrix-54, 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_Map_Osko__Map__Xmap__comp__None__iff__1__1(__eqx_0, __eqx_1, __eqx_2, __eqx_3, __eqx_4, __eqx_5) = c_Map_Osko__Map__Xmap__comp__None__iff__1__1(__eqy_0, __eqy_1, __eqy_2, __eqy_3, __eqy_4, __eqy_5)) )).
% 12.31/12.52 cnf(matrix-55, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( __eqx_3 != __eqy_3) | ( c_curry(__eqx_0, __eqx_1, __eqx_2, __eqx_3) = c_curry(__eqy_0, __eqy_1, __eqy_2, __eqy_3)) )).
% 12.31/12.52 cnf(matrix-56, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( c_Product__Type_Oapsnd(__eqx_0, __eqx_1, __eqx_2) = c_Product__Type_Oapsnd(__eqy_0, __eqy_1, __eqy_2)) )).
% 12.31/12.52 cnf(matrix-57, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( __eqx_3 != __eqy_3) | ( c_Product__Type_Oapfst(__eqx_0, __eqx_1, __eqx_2, __eqx_3) = c_Product__Type_Oapfst(__eqy_0, __eqy_1, __eqy_2, __eqy_3)) )).
% 12.31/12.52 cnf(matrix-58, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( c_fst(__eqx_0, __eqx_1, __eqx_2) = c_fst(__eqy_0, __eqy_1, __eqy_2)) )).
% 12.31/12.52 cnf(matrix-59, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( c_snd(__eqx_0, __eqx_1, __eqx_2) = c_snd(__eqy_0, __eqy_1, __eqy_2)) )).
% 12.31/12.52 cnf(matrix-60, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( c_Option_Ois__none(__eqx_0, __eqx_1) = c_Option_Ois__none(__eqy_0, __eqy_1)) )).
% 12.31/12.52 cnf(matrix-61, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( c_Option_Omap(__eqx_0, __eqx_1, __eqx_2) = c_Option_Omap(__eqy_0, __eqy_1, __eqy_2)) )).
% 12.31/12.52 cnf(matrix-62, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( __eqx_3 != __eqy_3) | ( __eqx_4 != __eqy_4) | ( c_Fun_Oswap(__eqx_0, __eqx_1, __eqx_2, __eqx_3, __eqx_4) = c_Fun_Oswap(__eqy_0, __eqy_1, __eqy_2, __eqy_3, __eqy_4)) )).
% 12.31/12.52 cnf(matrix-63, plain, ( ( __eqx_0 != __eqy_0) | ( tc_Expr_Oexp(__eqx_0) = tc_Expr_Oexp(__eqy_0)) )).
% 12.31/12.52 cnf(matrix-64, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( c_ATP__Linkup_Osko__Option__Xospec__1__1(__eqx_0, __eqx_1, __eqx_2) = c_ATP__Linkup_Osko__Option__Xospec__1__1(__eqy_0, __eqy_1, __eqy_2)) )).
% 12.31/12.52 cnf(matrix-65, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( c_Objects_Otypeof__h(__eqx_0, __eqx_1) = c_Objects_Otypeof__h(__eqy_0, __eqy_1)) )).
% 12.31/12.52 cnf(matrix-66, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( c_Objects_Osko__Objects__Xhext__def__1__1(__eqx_0, __eqx_1, __eqx_2) = c_Objects_Osko__Objects__Xhext__def__1__1(__eqy_0, __eqy_1, __eqy_2)) )).
% 12.31/12.52 cnf(matrix-67, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( c_Objects_Osko__Objects__Xhext__objD__1__1(__eqx_0, __eqx_1, __eqx_2) = c_Objects_Osko__Objects__Xhext__objD__1__1(__eqy_0, __eqy_1, __eqy_2)) )).
% 12.31/12.52 cnf(matrix-68, 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)) )).
% 12.31/12.52 cnf(matrix-69, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( __eqx_3 != __eqy_3) | ( __eqx_4 != __eqy_4) | ( c_Product__Type_Oprod__fun(__eqx_0, __eqx_1, __eqx_2, __eqx_3, __eqx_4) = c_Product__Type_Oprod__fun(__eqy_0, __eqy_1, __eqy_2, __eqy_3, __eqy_4)) )).
% 12.31/12.52 cnf(matrix-70, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( __eqx_3 != __eqy_3) | ( __eqx_4 != __eqy_4) | ( c_Option_Ooption_Ooption__rec(__eqx_0, __eqx_1, __eqx_2, __eqx_3, __eqx_4) = c_Option_Ooption_Ooption__rec(__eqy_0, __eqy_1, __eqy_2, __eqy_3, __eqy_4)) )).
% 12.31/12.52 cnf(matrix-71, plain, ( ( __eqx_0 != __eqy_0) | ( c_COMBI(__eqx_0) = c_COMBI(__eqy_0)) )).
% 12.31/12.52 cnf(matrix-72, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( c_Product__Type_Oprod_Oprod__case(__eqx_0, __eqx_1, __eqx_2) = c_Product__Type_Oprod_Oprod__case(__eqy_0, __eqy_1, __eqy_2)) )).
% 12.31/12.52 cnf(matrix-73, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( c_Product__Type_Ointernal__split(__eqx_0, __eqx_1, __eqx_2) = c_Product__Type_Ointernal__split(__eqy_0, __eqy_1, __eqy_2)) )).
% 12.31/12.52 cnf(matrix-74, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( c_Option_Othe(__eqx_0, __eqx_1) = c_Option_Othe(__eqy_0, __eqy_1)) )).
% 12.31/12.52 cnf(matrix-75, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( c_ATP__Linkup_Osko__Product__Type__Xsplit__paired__All__1__1(__eqx_0, __eqx_1, __eqx_2) = c_ATP__Linkup_Osko__Product__Type__Xsplit__paired__All__1__1(__eqy_0, __eqy_1, __eqy_2)) )).
% 12.31/12.52 cnf(matrix-76, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( c_ATP__Linkup_Osko__Product__Type__Xsplit__paired__Ex__1__3(__eqx_0, __eqx_1, __eqx_2) = c_ATP__Linkup_Osko__Product__Type__Xsplit__paired__Ex__1__3(__eqy_0, __eqy_1, __eqy_2)) )).
% 12.31/12.52 cnf(matrix-77, plain, ( ( __eqx_0 != __eqy_0) | ( c_Objects_Oinit__fields(__eqx_0) = c_Objects_Oinit__fields(__eqy_0)) )).
% 12.31/12.52 cnf(matrix-78, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( __eqx_3 != __eqy_3) | ( __eqx_4 != __eqy_4) | ( c_Product__Type_Oprod_Oprod__rec(__eqx_0, __eqx_1, __eqx_2, __eqx_3, __eqx_4) = c_Product__Type_Oprod_Oprod__rec(__eqy_0, __eqy_1, __eqy_2, __eqy_3, __eqy_4)) )).
% 12.31/12.52 cnf(matrix-79, plain, ( ( __eqx_0 != __eqy_0) | ~hBOOL(__eqx_0) | hBOOL(__eqy_0) )).
% 12.31/12.52 cnf(matrix-80, plain, ( ( __eqx_0 != __eqy_0) | ~class_HOL_Ominus(__eqx_0) | class_HOL_Ominus(__eqy_0) )).
% 12.31/12.52 cnf(matrix-81, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( __eqx_3 != __eqy_3) | ~c_Fun_Oinj__on(__eqx_0, __eqx_1, __eqx_2, __eqx_3) | c_Fun_Oinj__on(__eqy_0, __eqy_1, __eqy_2, __eqy_3) )).
% 12.31/12.52 cnf(matrix-82, plain, ( ( __eqx_0 != __eqy_0) | ~class_OrderedGroup_Oab__group__add(__eqx_0) | class_OrderedGroup_Oab__group__add(__eqy_0) )).
% 12.31/12.52 cnf(matrix-83, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( __eqx_3 != __eqy_3) | ( __eqx_4 != __eqy_4) | ~c_SmallStep_Oredp(__eqx_0, __eqx_1, __eqx_2, __eqx_3, __eqx_4) | c_SmallStep_Oredp(__eqy_0, __eqy_1, __eqy_2, __eqy_3, __eqy_4) )).
% 12.31/12.52 cnf(matrix-84, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( __eqx_3 != __eqy_3) | ~c_TypeRel_Owiden(__eqx_0, __eqx_1, __eqx_2, __eqx_3) | c_TypeRel_Owiden(__eqy_0, __eqy_1, __eqy_2, __eqy_3) )).
% 12.31/12.52 cnf(matrix-85, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( __eqx_3 != __eqy_3) | ( __eqx_4 != __eqy_4) | ~c_Conform_Oconf(__eqx_0, __eqx_1, __eqx_2, __eqx_3, __eqx_4) | c_Conform_Oconf(__eqy_0, __eqy_1, __eqy_2, __eqy_3, __eqy_4) )).
% 12.31/12.52 cnf(matrix-86, plain, ( ( __eqx_0 != __eqy_0) | ~c_Exceptions_Opreallocated(__eqx_0) | c_Exceptions_Opreallocated(__eqy_0) )).
% 12.31/12.52 cnf(matrix-87, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ~c_Objects_Ohext(__eqx_0, __eqx_1) | c_Objects_Ohext(__eqy_0, __eqy_1) )).
% 12.31/12.52 cnf(matrix-88, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( __eqx_3 != __eqy_3) | ( __eqx_4 != __eqy_4) | ~c_BigStep_Oeval(__eqx_0, __eqx_1, __eqx_2, __eqx_3, __eqx_4) | c_BigStep_Oeval(__eqy_0, __eqy_1, __eqy_2, __eqy_3, __eqy_4) )).
% 12.31/12.52 cnf(matrix-89, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( __eqx_3 != __eqy_3) | ( __eqx_4 != __eqy_4) | ~c_WellTypeRT_OWTrt(__eqx_0, __eqx_1, __eqx_2, __eqx_3, __eqx_4) | c_WellTypeRT_OWTrt(__eqy_0, __eqy_1, __eqy_2, __eqy_3, __eqy_4) )).
% 12.31/12.52 cnf(matrix-90, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( __eqx_3 != __eqy_3) | ( __eqx_4 != __eqy_4) | ~c_Progress_OWTrt_H(__eqx_0, __eqx_1, __eqx_2, __eqx_3, __eqx_4) | c_Progress_OWTrt_H(__eqy_0, __eqy_1, __eqy_2, __eqy_3, __eqy_4) )).
% 12.31/12.52 cnf(matrix-91, plain, ( ( __eqx_0 != __eqy_0) | ~class_Orderings_Obot(__eqx_0) | class_Orderings_Obot(__eqy_0) )).
% 12.31/12.52 cnf(matrix-92, plain, ( ( __eqx_0 != __eqy_0) | ~class_OrderedGroup_Ocomm__monoid__add(__eqx_0) | class_OrderedGroup_Ocomm__monoid__add(__eqy_0) )).
% 12.31/12.52 cnf(matrix-93, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ~c_Conform_Ohconf(__eqx_0, __eqx_1, __eqx_2) | c_Conform_Ohconf(__eqy_0, __eqy_1, __eqy_2) )).
% 12.31/12.52 cnf(matrix-94, plain, ( ( __eqx_0 != __eqy_0) | ~class_Orderings_Otop(__eqx_0) | class_Orderings_Otop(__eqy_0) )).
% 12.31/12.52 cnf(matrix-95, plain, ( ( __eqx_0 != __eqy_0) | ~class_OrderedGroup_Ocomm__monoid__mult(__eqx_0) | class_OrderedGroup_Ocomm__monoid__mult(__eqy_0) )).
% 12.31/12.52 cnf(matrix-96, 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_TypeRel_Ohas__field(__eqx_0, __eqx_1, __eqx_2, __eqx_3, __eqx_4, __eqx_5) | c_TypeRel_Ohas__field(__eqy_0, __eqy_1, __eqy_2, __eqy_3, __eqy_4, __eqy_5) )).
% 12.31/12.52 cnf(matrix-97, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( __eqx_3 != __eqy_3) | ~c_Map_Omap__le(__eqx_0, __eqx_1, __eqx_2, __eqx_3) | c_Map_Omap__le(__eqy_0, __eqy_1, __eqy_2, __eqy_3) )).
% 12.31/12.52 cnf(matrix-98, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( __eqx_3 != __eqy_3) | ~c_Conform_Ooconf(__eqx_0, __eqx_1, __eqx_2, __eqx_3) | c_Conform_Ooconf(__eqy_0, __eqy_1, __eqy_2, __eqy_3) )).
% 12.31/12.52 cnf(matrix-99, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( __eqx_3 != __eqy_3) | ~c_TypeRel_OFields(__eqx_0, __eqx_1, __eqx_2, __eqx_3) | c_TypeRel_OFields(__eqy_0, __eqy_1, __eqy_2, __eqy_3) )).
% 12.31/12.52 cnf(matrix-100, plain, ( ( c_HOL_Ominus__class_Ominus(c_Set_Oinsert(V_x, V_A, T_a), c_Set_Oinsert(V_x, c_Orderings_Obot__class_Obot(tc_fun(T_a, tc_bool)), T_a), tc_fun(T_a, tc_bool)) = V_A) | hBOOL(c_in(V_x, V_A, T_a)) )).
% 12.31/12.52 cnf(matrix-101, plain, ( ~class_HOL_Ominus(T_b) | ( hAPP(c_HOL_Ominus__class_Ominus(V_A, V_B, tc_fun(t_a, T_b)), v_x) = c_HOL_Ominus__class_Ominus(hAPP(V_A, v_x), hAPP(V_B, v_x), T_b)) )).
% 12.31/12.52 cnf(matrix-102, plain, ( ( c_Set_Oimage(V_f, c_HOL_Ominus__class_Ominus(V_A, V_B, tc_fun(T_a, tc_bool)), T_a, T_b) = c_HOL_Ominus__class_Ominus(c_Set_Oimage(V_f, V_A, T_a, T_b), c_Set_Oimage(V_f, V_B, T_a, T_b), tc_fun(T_b, tc_bool))) | ~c_Fun_Oinj__on(V_f, c_Orderings_Otop__class_Otop(tc_fun(T_a, tc_bool)), T_a, T_b) )).
% 12.31/12.52 cnf(matrix-103, plain, ( hBOOL(c_in(V_c, c_HOL_Ominus__class_Ominus(V_A, V_B, tc_fun(T_a, tc_bool)), T_a)) | hBOOL(c_in(V_c, V_B, T_a)) | ~hBOOL(c_in(V_c, V_A, T_a)) )).
% 12.31/12.52 cnf(matrix-104, plain, ( hBOOL(c_in(V_c, c_HOL_Ominus__class_Ominus(V_A, V_B, tc_fun(T_a, tc_bool)), T_a)) | hBOOL(c_in(V_c, V_B, T_a)) | ~hBOOL(c_in(V_c, V_A, T_a)) )).
% 12.31/12.52 cnf(matrix-105, plain, ( ( c_Set_Oinsert(V_a, c_HOL_Ominus__class_Ominus(V_A, c_Set_Oinsert(V_a, c_Orderings_Obot__class_Obot(tc_fun(T_a, tc_bool)), T_a), tc_fun(T_a, tc_bool)), T_a) = c_Set_Oinsert(V_a, V_A, T_a)) )).
% 12.31/12.52 cnf(matrix-106, plain, ( ( c_Expr_Oexp_OFAcc(V_exp_H, V_list1_H, V_list2_H, T_a) != c_Expr_Oexp_OVal(V_val, T_a)) )).
% 12.31/12.52 cnf(matrix-107, plain, ( ~class_OrderedGroup_Oab__group__add(T_a) | ( c_HOL_Ominus__class_Ominus(V_x, V_x, T_a) != c_HOL_Ominus__class_Ominus(V_x_H, V_y_H, T_a)) | ( V_x_H = V_y_H) )).
% 12.31/12.52 cnf(matrix-108, plain, ( ~class_OrderedGroup_Oab__group__add(T_a) | ( c_HOL_Ominus__class_Ominus(V_xa, V_y, T_a) != c_HOL_Ominus__class_Ominus(V_x, V_x, T_a)) | ( V_xa = V_y) )).
% 12.31/12.52 cnf(matrix-109, plain, ( ( c_HOL_Ominus__class_Ominus(c_HOL_Ominus__class_Ominus(V_A, V_B, tc_fun(T_a, tc_bool)), V_B, tc_fun(T_a, tc_bool)) = c_HOL_Ominus__class_Ominus(V_A, V_B, tc_fun(T_a, tc_bool))) )).
% 12.31/12.52 cnf(matrix-110, plain, ( c_SmallStep_Oredp(V_P, c_Expr_Oexp_OFAcc(V_e, V_F, V_D, tc_List_Olist(tc_String_Ochar)), V_s, c_Expr_Oexp_OFAcc(V_e_H, V_F, V_D, tc_List_Olist(tc_String_Ochar)), V_s_H) | ~c_SmallStep_Oredp(V_P, V_e, V_s, V_e_H, V_s_H) )).
% 12.31/12.52 cnf(matrix-111, plain, ( ( hAPP(V_f, V_x) != c_Option_Ooption_ONone(T_a)) | ( c_HOL_Ominus__class_Ominus(c_Map_Odom(V_f, T_b, T_a), c_Set_Oinsert(V_x, V_A, T_b), tc_fun(T_b, tc_bool)) = c_HOL_Ominus__class_Ominus(c_Map_Odom(V_f, T_b, T_a), V_A, tc_fun(T_b, tc_bool))) )).
% 12.31/12.52 cnf(matrix-112, plain, ( c_Fun_Oinj__on(V_f, c_HOL_Ominus__class_Ominus(V_A, V_B, tc_fun(T_a, tc_bool)), T_a, T_b) | ~c_Fun_Oinj__on(V_f, V_A, T_a, T_b) )).
% 12.31/12.52 cnf(matrix-113, plain, ( ( c_HOL_Ominus__class_Ominus(V_A, c_Set_Oinsert(V_a, V_B, T_a), tc_fun(T_a, tc_bool)) = c_HOL_Ominus__class_Ominus(c_HOL_Ominus__class_Ominus(V_A, V_B, tc_fun(T_a, tc_bool)), c_Set_Oinsert(V_a, c_Orderings_Obot__class_Obot(tc_fun(T_a, tc_bool)), T_a), tc_fun(T_a, tc_bool))) )).
% 12.31/12.52 cnf(matrix-114, plain, ( ( c_HOL_Ominus__class_Ominus(V_A, c_Set_Oinsert(V_a, V_B, T_a), tc_fun(T_a, tc_bool)) = c_HOL_Ominus__class_Ominus(c_HOL_Ominus__class_Ominus(V_A, c_Set_Oinsert(V_a, c_Orderings_Obot__class_Obot(tc_fun(T_a, tc_bool)), T_a), tc_fun(T_a, tc_bool)), V_B, tc_fun(T_a, tc_bool))) )).
% 12.31/12.52 cnf(matrix-115, plain, ( hBOOL(c_in(V_c, V_A, T_a)) | ~hBOOL(c_in(V_c, c_HOL_Ominus__class_Ominus(V_A, V_B, tc_fun(T_a, tc_bool)), T_a)) )).
% 12.31/12.52 cnf(matrix-116, plain, ( ~hBOOL(c_in(V_c, V_B, T_a)) | ~hBOOL(c_in(V_c, c_HOL_Ominus__class_Ominus(V_A, V_B, tc_fun(T_a, tc_bool)), T_a)) )).
% 12.31/12.52 cnf(matrix-117, plain, ( ( c_Expr_Oexp_OFAcc(V_exp, V_list1, V_list2, T_a) != c_Expr_Oexp_OFAcc(V_exp_H, V_list1_H, V_list2_H, T_a)) | ( V_list2 = V_list2_H) )).
% 12.31/12.52 cnf(matrix-118, plain, ( ( c_Expr_Oexp_OFAcc(V_exp, V_list1, V_list2, T_a) != c_Expr_Oexp_OFAcc(V_exp_H, V_list1_H, V_list2_H, T_a)) | ( V_list1 = V_list1_H) )).
% 12.31/12.52 cnf(matrix-119, plain, ( ( c_Expr_Oexp_OFAcc(V_exp, V_list1, V_list2, T_a) != c_Expr_Oexp_OFAcc(V_exp_H, V_list1_H, V_list2_H, T_a)) | ( V_exp = V_exp_H) )).
% 12.31/12.52 cnf(matrix-120, plain, ( ( c_HOL_Ominus__class_Ominus(V_A, c_Orderings_Obot__class_Obot(tc_fun(T_a, tc_bool)), tc_fun(T_a, tc_bool)) = V_A) )).
% 12.31/12.52 cnf(matrix-121, plain, ( ( c_HOL_Ominus__class_Ominus(V_A, V_A, tc_fun(T_a, tc_bool)) = c_Orderings_Obot__class_Obot(tc_fun(T_a, tc_bool))) )).
% 12.31/12.52 cnf(matrix-122, plain, ( ( c_HOL_Ominus__class_Ominus(c_Orderings_Obot__class_Obot(tc_fun(T_a, tc_bool)), V_A, tc_fun(T_a, tc_bool)) = c_Orderings_Obot__class_Obot(tc_fun(T_a, tc_bool))) )).
% 12.31/12.52 cnf(matrix-123, plain, ( ( c_Expr_Oexp_OFAss(V_exp1_H, V_list1_H, V_list2_H, V_exp2_H, T_a) != c_Expr_Oexp_OFAcc(V_exp, V_list1, V_list2, T_a)) )).
% 12.31/12.52 cnf(matrix-124, plain, ( ( c_HOL_Ominus__class_Ominus(V_A, c_Orderings_Otop__class_Otop(tc_fun(T_a, tc_bool)), tc_fun(T_a, tc_bool)) = c_Orderings_Obot__class_Obot(tc_fun(T_a, tc_bool))) )).
% 12.31/12.52 cnf(matrix-125, plain, ( ( c_Expr_Oexp_OFAcc(V_exp, V_list1, V_list2, T_a) != c_Expr_Oexp_OFAss(V_exp1_H, V_list1_H, V_list2_H, V_exp2_H, T_a)) )).
% 12.31/12.52 cnf(matrix-126, plain, ( ( c_Set_Oinsert(V_a, c_HOL_Ominus__class_Ominus(V_A, c_Set_Oinsert(V_a, c_Orderings_Obot__class_Obot(tc_fun(T_a, tc_bool)), T_a), tc_fun(T_a, tc_bool)), T_a) = V_A) | ~hBOOL(c_in(V_a, V_A, T_a)) )).
% 12.31/12.52 cnf(matrix-127, plain, ( ( c_Expr_Oexp_OVal(V_val, T_a) != c_Expr_Oexp_OFAcc(V_exp_H, V_list1_H, V_list2_H, T_a)) )).
% 12.31/12.52 cnf(matrix-128, plain, ( ( c_HOL_Ominus__class_Ominus(c_Set_Oinsert(V_x, V_A, T_a), V_B, tc_fun(T_a, tc_bool)) = c_Set_Oinsert(V_x, c_HOL_Ominus__class_Ominus(V_A, V_B, tc_fun(T_a, tc_bool)), T_a)) | hBOOL(c_in(V_x, V_B, T_a)) )).
% 12.31/12.52 cnf(matrix-129, plain, ( ( c_HOL_Ominus__class_Ominus(c_Set_Oinsert(V_x, V_A, T_a), V_B, tc_fun(T_a, tc_bool)) = c_HOL_Ominus__class_Ominus(V_A, V_B, tc_fun(T_a, tc_bool))) | ~hBOOL(c_in(V_x, V_B, T_a)) )).
% 12.31/12.52 cnf(matrix-130, plain, ( ( c_Fun_Ofun__upd(c_Map_Orestrict__map(V_m, V_D, T_a, T_b), V_x, V_y, T_a, tc_Option_Ooption(T_b)) = c_Fun_Ofun__upd(c_Map_Orestrict__map(V_m, c_HOL_Ominus__class_Ominus(V_D, c_Set_Oinsert(V_x, c_Orderings_Obot__class_Obot(tc_fun(T_a, tc_bool)), T_a), tc_fun(T_a, tc_bool)), T_a, T_b), V_x, V_y, T_a, tc_Option_Ooption(T_b))) )).
% 12.31/12.52 cnf(matrix-131, plain, ( ~hBOOL(c_in(hAPP(V_f, V_a), c_Set_Oimage(V_f, c_HOL_Ominus__class_Ominus(V_A, c_Set_Oinsert(V_a, c_Orderings_Obot__class_Obot(tc_fun(T_a, tc_bool)), T_a), tc_fun(T_a, tc_bool)), T_a, T_b), T_b)) | ~c_Fun_Oinj__on(V_f, c_Set_Oinsert(V_a, V_A, T_a), T_a, T_b) )).
% 12.31/12.52 cnf(matrix-132, plain, ( c_Fun_Oinj__on(V_f, c_Set_Oinsert(V_a, V_A, T_a), T_a, T_b) | hBOOL(c_in(hAPP(V_f, V_a), c_Set_Oimage(V_f, c_HOL_Ominus__class_Ominus(V_A, c_Set_Oinsert(V_a, c_Orderings_Obot__class_Obot(tc_fun(T_a, tc_bool)), T_a), tc_fun(T_a, tc_bool)), T_a, T_b), T_b)) | ~c_Fun_Oinj__on(V_f, V_A, T_a, T_b) )).
% 12.31/12.52 cnf(matrix-133, plain, ( ( c_Set_Oimage(c_Fun_Ofun__upd(V_f, V_x, V_y, T_b, T_a), V_A, T_b, T_a) = c_Set_Oinsert(V_y, c_Set_Oimage(V_f, c_HOL_Ominus__class_Ominus(V_A, c_Set_Oinsert(V_x, c_Orderings_Obot__class_Obot(tc_fun(T_b, tc_bool)), T_b), tc_fun(T_b, tc_bool)), T_b, T_a), T_a)) | ~hBOOL(c_in(V_x, V_A, T_b)) )).
% 12.31/12.52 cnf(matrix-134, plain, ( ( c_Fun_Ofun__upd(c_Map_Orestrict__map(V_m, V_D, T_a, T_b), V_x, V_y, T_a, tc_Option_Ooption(T_b)) = c_Fun_Ofun__upd(c_Map_Orestrict__map(V_m, c_HOL_Ominus__class_Ominus(V_D, c_Set_Oinsert(V_x, c_Orderings_Obot__class_Obot(tc_fun(T_a, tc_bool)), T_a), tc_fun(T_a, tc_bool)), T_a, T_b), V_x, V_y, T_a, tc_Option_Ooption(T_b))) | ~hBOOL(c_in(V_x, V_D, T_a)) )).
% 12.31/12.52 cnf(matrix-135, plain, ( ( c_Map_Orestrict__map(c_Fun_Ofun__upd(V_m, V_x, V_y, T_a, tc_Option_Ooption(T_b)), V_D, T_a, T_b) = c_Fun_Ofun__upd(c_Map_Orestrict__map(V_m, c_HOL_Ominus__class_Ominus(V_D, c_Set_Oinsert(V_x, c_Orderings_Obot__class_Obot(tc_fun(T_a, tc_bool)), T_a), tc_fun(T_a, tc_bool)), T_a, T_b), V_x, V_y, T_a, tc_Option_Ooption(T_b))) | ~hBOOL(c_in(V_x, V_D, T_a)) )).
% 12.31/12.52 cnf(matrix-136, plain, ( ( hAPP(c_Map_Omap__of(c_List_Ozip(V_xs, V_ys, T_a, T_b), T_a, T_b), V_x) != hAPP(c_Option_Ooption_OSome(T_b), V_xa)) | ( c_Nat_Osize__class_Osize(V_xs, tc_List_Olist(T_a)) != c_Nat_Osize__class_Osize(V_ys, tc_List_Olist(T_b))) | hBOOL(c_in(V_x, c_List_Oset(V_xs, T_a), T_a)) )).
% 12.31/12.52 cnf(matrix-137, plain, ( ( c_Map_Odom(c_Fun_Ofun__upd(V_f, V_x, c_Option_Ooption_ONone(T_b), T_a, tc_Option_Ooption(T_b)), T_a, T_b) = c_HOL_Ominus__class_Ominus(c_Map_Odom(V_f, T_a, T_b), c_Set_Oinsert(V_x, c_Orderings_Obot__class_Obot(tc_fun(T_a, tc_bool)), T_a), tc_fun(T_a, tc_bool))) )).
% 12.31/12.52 cnf(matrix-138, plain, ( ( hAPP(c_Map_Omap__of(c_List_Ozip(V_xs, V_ys, T_a, T_b), T_a, T_b), V_x) != c_Option_Ooption_ONone(T_b)) | ( c_Nat_Osize__class_Osize(V_xs, tc_List_Olist(T_a)) != c_Nat_Osize__class_Osize(V_ys, tc_List_Olist(T_b))) | ~hBOOL(c_in(V_x, c_List_Oset(V_xs, T_a), T_a)) )).
% 12.31/12.52 cnf(matrix-139, plain, ( ( c_Nat_Osize__class_Osize(V_xs, tc_List_Olist(T_a)) != c_Nat_Osize__class_Osize(V_ys, tc_List_Olist(T_b))) | ( hAPP(c_Map_Omap__of(c_List_Ozip(V_xs, V_ys, T_a, T_b), T_a, T_b), V_x) = c_Option_Ooption_ONone(T_b)) | hBOOL(c_in(V_x, c_List_Oset(V_xs, T_a), T_a)) )).
% 12.31/12.52 cnf(matrix-140, plain, ( c_Fun_Oinj__on(c_Fun_Oid(T_a), V_A, T_a, T_a) )).
% 12.31/12.52 cnf(matrix-141, plain, ( ( c_Set_Oinsert(V_xa, c_Set_Oinsert(V_x, c_Orderings_Obot__class_Obot(tc_fun(T_a, tc_bool)), T_a), T_a) = c_Set_Oinsert(V_x, c_Set_Oinsert(V_xa, c_Orderings_Obot__class_Obot(tc_fun(T_a, tc_bool)), T_a), T_a)) )).
% 12.31/12.52 cnf(matrix-142, plain, ( ( c_List_Olist_OCons(V_x, V_xs, T_a) != c_List_Ofilter(V_P, V_ys, T_a)) | hBOOL(hAPP(V_P, V_x)) )).
% 12.31/12.52 cnf(matrix-143, plain, ( ( c_Set_Oimage(V_f, c_Orderings_Obot__class_Obot(tc_fun(T_b, tc_bool)), T_b, T_a) = c_Orderings_Obot__class_Obot(tc_fun(T_a, tc_bool))) )).
% 12.31/12.52 cnf(matrix-144, plain, ( c_Fun_Oinj__on(V_f, c_Orderings_Obot__class_Obot(tc_fun(T_a, tc_bool)), T_a, T_b) )).
% 12.31/12.52 cnf(matrix-145, plain, ( c_TypeRel_Owiden(V_P, V_T, V_T, T_a) )).
% 12.31/12.52 cnf(matrix-146, plain, ( c_TypeRel_Owiden(V_P, V_S, V_T, T_a) | ~c_TypeRel_Owiden(V_P, V_U, V_T, T_a) | ~c_TypeRel_Owiden(V_P, V_S, V_U, T_a) )).
% 12.31/12.52 cnf(matrix-147, plain, ( c_Conform_Oconf(V_P, V_h, V_v, V_T_H, T_a) | ~c_TypeRel_Owiden(V_P, V_T, V_T_H, T_a) | ~c_Conform_Oconf(V_P, V_h, V_v, V_T, T_a) )).
% 12.31/12.52 cnf(matrix-148, plain, ( ( c_Set_Oinsert(V_a, c_Orderings_Obot__class_Obot(tc_fun(T_a, tc_bool)), T_a) != c_Set_Oinsert(V_b, c_Orderings_Obot__class_Obot(tc_fun(T_a, tc_bool)), T_a)) | ( V_a = V_b) )).
% 12.31/12.52 cnf(matrix-149, 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)) )).
% 12.31/12.52 cnf(matrix-150, plain, ( ( c_Option_Oset(c_Option_Ooption_ONone(T_a), T_a) = c_Orderings_Obot__class_Obot(tc_fun(T_a, tc_bool))) )).
% 12.31/12.52 cnf(matrix-151, plain, ( ( hAPP(V_g, c_ATP__Linkup_Osko__Fun__Xinj__on__image__iff__1__1(V_A, V_f, V_g, T_a, T_b)) != hAPP(V_g, c_ATP__Linkup_Osko__Fun__Xinj__on__image__iff__1__2(V_A, V_f, V_g, T_a, T_b))) | ( hAPP(V_g, hAPP(V_f, c_ATP__Linkup_Osko__Fun__Xinj__on__image__iff__1__1(V_A, V_f, V_g, T_a, T_b))) != hAPP(V_g, hAPP(V_f, c_ATP__Linkup_Osko__Fun__Xinj__on__image__iff__1__2(V_A, V_f, V_g, T_a, T_b)))) | c_Fun_Oinj__on(V_g, c_Set_Oimage(V_f, V_A, T_a, T_a), T_a, T_b) | ~c_Fun_Oinj__on(V_g, V_A, T_a, T_b) | ~c_Fun_Oinj__on(V_f, V_A, T_a, T_a) )).
% 12.31/12.52 cnf(matrix-152, plain, ( ( hAPP(V_g, c_ATP__Linkup_Osko__Fun__Xinj__on__image__iff__1__1(V_A, V_f, V_g, T_a, T_b)) != hAPP(V_g, c_ATP__Linkup_Osko__Fun__Xinj__on__image__iff__1__2(V_A, V_f, V_g, T_a, T_b))) | ( hAPP(V_g, hAPP(V_f, c_ATP__Linkup_Osko__Fun__Xinj__on__image__iff__1__1(V_A, V_f, V_g, T_a, T_b))) != hAPP(V_g, hAPP(V_f, c_ATP__Linkup_Osko__Fun__Xinj__on__image__iff__1__2(V_A, V_f, V_g, T_a, T_b)))) | c_Fun_Oinj__on(V_g, V_A, T_a, T_b) | ~c_Fun_Oinj__on(V_g, c_Set_Oimage(V_f, V_A, T_a, T_a), T_a, T_b) | ~c_Fun_Oinj__on(V_f, V_A, T_a, T_a) )).
% 12.31/12.52 cnf(matrix-153, plain, ( c_Fun_Oinj__on(V_g, c_Set_Oimage(V_f, V_A, T_a, T_a), T_a, T_b) | ~c_Fun_Oinj__on(V_g, V_A, T_a, T_b) | ~c_Fun_Oinj__on(V_f, V_A, T_a, T_a) | ( hAPP(V_g, c_ATP__Linkup_Osko__Fun__Xinj__on__image__iff__1__1(V_A, V_f, V_g, T_a, T_b)) = hAPP(V_g, c_ATP__Linkup_Osko__Fun__Xinj__on__image__iff__1__2(V_A, V_f, V_g, T_a, T_b))) | ( hAPP(V_g, hAPP(V_f, c_ATP__Linkup_Osko__Fun__Xinj__on__image__iff__1__1(V_A, V_f, V_g, T_a, T_b))) = hAPP(V_g, hAPP(V_f, c_ATP__Linkup_Osko__Fun__Xinj__on__image__iff__1__2(V_A, V_f, V_g, T_a, T_b)))) )).
% 12.31/12.52 cnf(matrix-154, plain, ( c_Fun_Oinj__on(V_g, V_A, T_a, T_b) | ~c_Fun_Oinj__on(V_g, c_Set_Oimage(V_f, V_A, T_a, T_a), T_a, T_b) | ~c_Fun_Oinj__on(V_f, V_A, T_a, T_a) | ( hAPP(V_g, c_ATP__Linkup_Osko__Fun__Xinj__on__image__iff__1__1(V_A, V_f, V_g, T_a, T_b)) = hAPP(V_g, c_ATP__Linkup_Osko__Fun__Xinj__on__image__iff__1__2(V_A, V_f, V_g, T_a, T_b))) | ( hAPP(V_g, hAPP(V_f, c_ATP__Linkup_Osko__Fun__Xinj__on__image__iff__1__1(V_A, V_f, V_g, T_a, T_b))) = hAPP(V_g, hAPP(V_f, c_ATP__Linkup_Osko__Fun__Xinj__on__image__iff__1__2(V_A, V_f, V_g, T_a, T_b)))) )).
% 12.31/12.52 cnf(matrix-155, plain, ( c_Exceptions_Opreallocated(V_h_H) | ~c_Objects_Ohext(V_h, V_h_H) | ~c_Exceptions_Opreallocated(V_h) )).
% 12.31/12.52 cnf(matrix-156, plain, ( ( c_Fun_Ocomp(V_a, V_b, T_c, T_b, T_a) != c_Fun_Ocomp(c_Fun_Oid(T_b), V_c, T_b, T_b, T_a)) | ( hAPP(V_a, hAPP(V_b, V_v)) = hAPP(V_c, V_v)) )).
% 12.31/12.52 cnf(matrix-157, plain, ( ( hAPP(c_Fun_Othe__inv__into(c_Orderings_Otop__class_Otop(tc_fun(T_a, tc_bool)), V_f, T_a, T_b), hAPP(V_f, V_x)) = V_x) | ~c_Fun_Oinj__on(V_f, c_Orderings_Otop__class_Otop(tc_fun(T_a, tc_bool)), T_a, T_b) )).
% 12.31/12.52 cnf(matrix-158, plain, ( ( V_s_H = V_s) | ~c_BigStep_Oeval(V_P, c_Expr_Oexp_OVal(V_v, tc_List_Olist(tc_String_Ochar)), V_s, V_e_H, V_s_H) )).
% 12.31/12.52 cnf(matrix-159, plain, ( hBOOL(hAPP(V_P, c_Option_Ooption_Ooption__case(V_f1, V_f2, V_x, t_a, t_b))) | ~hBOOL(hAPP(V_P, hAPP(V_f2, v_sko__Option__Xoption__Xsplit__1(V_P, V_f2, V_x)))) | ~hBOOL(hAPP(V_P, V_f1)) )).
% 12.31/12.52 cnf(matrix-160, plain, ( ( c_Set_Oimage(c_Fun_Oid(T_a), V_Y, T_a, T_a) = V_Y) )).
% 12.31/12.52 cnf(matrix-161, plain, ( ( c_Value_Oval_OUnit != c_Value_Oval_OAddr(V_nat_H)) )).
% 12.31/12.52 cnf(matrix-162, plain, ( ( c_Set_Oimage(c_Hilbert__Choice_Oinv__into(c_Orderings_Otop__class_Otop(tc_fun(T_a, tc_bool)), V_f, T_a, T_b), c_Set_Oimage(V_f, V_X, T_a, T_b), T_b, T_a) = V_X) | ~c_Fun_Oinj__on(V_f, c_Orderings_Otop__class_Otop(tc_fun(T_a, tc_bool)), T_a, T_b) )).
% 12.31/12.52 cnf(matrix-163, plain, ( ( c_Set_Oimage(c_Hilbert__Choice_Oinv__into(c_Orderings_Otop__class_Otop(tc_fun(T_a, tc_bool)), V_f, T_a, T_b), c_Set_Oimage(V_f, V_A, T_a, T_b), T_b, T_a) = V_A) | ~c_Fun_Oinj__on(V_f, c_Orderings_Otop__class_Otop(tc_fun(T_a, tc_bool)), T_a, T_b) )).
% 12.31/12.52 cnf(matrix-164, plain, ( ( c_Orderings_Obot__class_Obot(tc_fun(T_a, tc_bool)) = c_Set_Oimage(V_f, c_Orderings_Obot__class_Obot(tc_fun(T_b, tc_bool)), T_b, T_a)) )).
% 12.31/12.52 cnf(matrix-165, plain, ( ( hAPP(c_Fun_Oid(T_a), V_x) = V_x) )).
% 12.31/12.52 cnf(matrix-166, plain, ( ( c_Fun_Ooverride__on(V_f, V_g, c_Orderings_Obot__class_Obot(tc_fun(T_a, tc_bool)), T_a, T_b) = V_f) )).
% 12.31/12.52 cnf(matrix-167, plain, ( ( hAPP(V_fs, hAPP(hAPP(c_Pair(tc_List_Olist(tc_String_Ochar), tc_List_Olist(tc_String_Ochar)), V_F), V_D)) != hAPP(c_Option_Ooption_OSome(tc_Value_Oval), V_v)) | ( hAPP(V_h, V_a) != hAPP(c_Option_Ooption_OSome(tc_prod(tc_List_Olist(tc_String_Ochar), tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar), tc_List_Olist(tc_String_Ochar)), tc_Option_Ooption(tc_Value_Oval)))), hAPP(hAPP(c_Pair(tc_List_Olist(tc_String_Ochar), tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar), tc_List_Olist(tc_String_Ochar)), tc_Option_Ooption(tc_Value_Oval))), V_C), V_fs))) | ~c_BigStep_Oeval(V_P, V_e, V_s_092_060_094isub_0620, c_Expr_Oexp_OVal(c_Value_Oval_OAddr(V_a), tc_List_Olist(tc_String_Ochar)), hAPP(hAPP(c_Pair(tc_fun(tc_nat, tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar), tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar), tc_List_Olist(tc_String_Ochar)), tc_Option_Ooption(tc_Value_Oval))))), tc_fun(tc_List_Olist(tc_String_Ochar), tc_Option_Ooption(tc_Value_Oval))), V_h), V_l)) | c_BigStep_Oeval(V_P, c_Expr_Oexp_OFAcc(V_e, V_F, V_D, tc_List_Olist(tc_String_Ochar)), V_s_092_060_094isub_0620, c_Expr_Oexp_OVal(V_v, tc_List_Olist(tc_String_Ochar)), hAPP(hAPP(c_Pair(tc_fun(tc_nat, tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar), tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar), tc_List_Olist(tc_String_Ochar)), tc_Option_Ooption(tc_Value_Oval))))), tc_fun(tc_List_Olist(tc_String_Ochar), tc_Option_Ooption(tc_Value_Oval))), V_h), V_l)) )).
% 12.31/12.52 cnf(matrix-168, plain, ( ( c_Map_Odom(V_f, T_a, T_b) != c_Set_Oinsert(V_x, c_Orderings_Obot__class_Obot(tc_fun(T_a, tc_bool)), T_a)) | ( V_f = c_Fun_Ofun__upd(c_COMBK(c_Option_Ooption_ONone(T_b), tc_Option_Ooption(T_b), T_a), V_x, hAPP(c_Option_Ooption_OSome(T_b), c_Map_Osko__Map__Xdom__eq__singleton__conv__1__1(V_f, V_x, T_a, T_b)), T_a, tc_Option_Ooption(T_b))) )).
% 12.31/12.52 cnf(matrix-169, plain, ( ( c_Fun_Ofun__upd(c_Map_Omap__of(c_List_Ozip(V_xs, V_ys, T_b, T_a), T_b, T_a), V_x, hAPP(c_Option_Ooption_OSome(T_a), V_y), T_b, tc_Option_Ooption(T_a)) != c_Fun_Ofun__upd(c_Map_Omap__of(c_List_Ozip(V_xs, V_zs, T_b, T_a), T_b, T_a), V_x, hAPP(c_Option_Ooption_OSome(T_a), V_z), T_b, tc_Option_Ooption(T_a))) | hBOOL(c_in(V_x, c_List_Oset(V_xs, T_b), T_b)) | ( c_Nat_Osize__class_Osize(V_zs, tc_List_Olist(T_a)) != c_Nat_Osize__class_Osize(V_xs, tc_List_Olist(T_b))) | ( c_Nat_Osize__class_Osize(V_ys, tc_List_Olist(T_a)) != c_Nat_Osize__class_Osize(V_xs, tc_List_Olist(T_b))) | ( c_Map_Omap__of(c_List_Ozip(V_xs, V_ys, T_b, T_a), T_b, T_a) = c_Map_Omap__of(c_List_Ozip(V_xs, V_zs, T_b, T_a), T_b, T_a)) )).
% 12.31/12.52 cnf(matrix-170, plain, ( ( c_Fun_Ofun__upd(c_Map_Orestrict__map(V_m, V_D, T_a, T_b), V_x, c_Option_Ooption_ONone(T_b), T_a, tc_Option_Ooption(T_b)) = c_Map_Orestrict__map(V_m, c_HOL_Ominus__class_Ominus(V_D, c_Set_Oinsert(V_x, c_Orderings_Obot__class_Obot(tc_fun(T_a, tc_bool)), T_a), tc_fun(T_a, tc_bool)), T_a, T_b)) | ~hBOOL(c_in(V_x, V_D, T_a)) )).
% 12.31/12.52 cnf(matrix-171, plain, ( ( c_Hilbert__Choice_Oinv__into(c_Orderings_Otop__class_Otop(tc_fun(T_a, tc_bool)), c_Fun_Oid(T_a), T_a, T_a) = c_Fun_Oid(T_a)) )).
% 12.31/12.52 cnf(matrix-172, plain, ( ( c_Fun_Ocomp(c_Fun_Oid(T_b), V_g, T_b, T_b, T_a) = V_g) )).
% 12.31/12.52 cnf(matrix-173, plain, ( ( c_Fun_Ocomp(V_f, c_Fun_Oid(T_a), T_a, T_b, T_a) = V_f) )).
% 12.31/12.52 cnf(matrix-174, plain, ( ( c_List_Ofilter(V_P, c_List_Olist_OCons(V_x, V_xs, T_a), T_a) = c_List_Olist_OCons(V_x, c_List_Ofilter(V_P, V_xs, T_a), T_a)) | ~hBOOL(hAPP(V_P, V_x)) )).
% 12.31/12.52 cnf(matrix-175, plain, ( ( c_Map_Odom(c_COMBK(c_Option_Ooption_ONone(T_b), tc_Option_Ooption(T_b), T_a), T_a, T_b) = c_Orderings_Obot__class_Obot(tc_fun(T_a, tc_bool))) )).
% 12.31/12.52 cnf(matrix-176, plain, ( ( c_List_Ofilter(V_P, V_xs, T_a) != V_xs) | hBOOL(hAPP(V_P, V_x)) | ~hBOOL(c_in(V_x, c_List_Oset(V_xs, T_a), T_a)) )).
% 12.31/12.52 cnf(matrix-177, plain, ( c_WellTypeRT_OWTrt(V_P, V_h, V_E, V_e, V_T) | ~c_Progress_OWTrt_H(V_P, V_h, V_E, V_e, V_T) )).
% 12.31/12.52 cnf(matrix-178, plain, ( c_Progress_OWTrt_H(V_P, V_h, V_E, V_e, V_T) | ~c_WellTypeRT_OWTrt(V_P, V_h, V_E, V_e, V_T) )).
% 12.31/12.52 cnf(matrix-179, plain, ( c_SmallStep_Oredp(V_P, c_Expr_Oexp_OFAss(V_e, V_F, V_D, V_e_092_060_094isub_0622, tc_List_Olist(tc_String_Ochar)), V_s, c_Expr_Oexp_OFAss(V_e_H, V_F, V_D, V_e_092_060_094isub_0622, tc_List_Olist(tc_String_Ochar)), V_s_H) | ~c_SmallStep_Oredp(V_P, V_e, V_s, V_e_H, V_s_H) )).
% 12.31/12.52 cnf(matrix-180, plain, ( ~class_Orderings_Obot(T_b) | ( hAPP(c_Orderings_Obot__class_Obot(tc_fun(t_a, T_b)), v_x) = c_Orderings_Obot__class_Obot(T_b)) )).
% 12.31/12.52 cnf(matrix-181, plain, ( ( c_Orderings_Obot__class_Obot(tc_fun(T_a, tc_bool)) != c_Set_Oimage(V_f, V_A, T_b, T_a)) | ( V_A = c_Orderings_Obot__class_Obot(tc_fun(T_b, tc_bool))) )).
% 12.31/12.52 cnf(matrix-182, plain, ( ( c_List_Ofilter(V_P, V_ys, T_a) != c_List_Olist_OCons(V_x, V_xs, T_a)) | hBOOL(hAPP(V_P, V_x)) )).
% 12.31/12.52 cnf(matrix-183, plain, ( ( c_Set_Oinsert(V_a, V_A, T_a) != c_Orderings_Obot__class_Obot(tc_fun(T_a, tc_bool))) )).
% 12.31/12.52 cnf(matrix-184, plain, ( ( hAPP(V_h, V_a) != c_Option_Ooption_ONone(tc_prod(tc_List_Olist(tc_String_Ochar), tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar), tc_List_Olist(tc_String_Ochar)), tc_Option_Ooption(tc_Value_Oval))))) | ~c_Exceptions_Opreallocated(V_h) | c_Exceptions_Opreallocated(c_Fun_Ofun__upd(V_h, V_a, hAPP(c_Option_Ooption_OSome(tc_prod(tc_List_Olist(tc_String_Ochar), tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar), tc_List_Olist(tc_String_Ochar)), tc_Option_Ooption(tc_Value_Oval)))), V_x), tc_nat, tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar), tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar), tc_List_Olist(tc_String_Ochar)), tc_Option_Ooption(tc_Value_Oval)))))) )).
% 12.31/12.52 cnf(matrix-185, plain, ( ( c_Fun_Ocomp(c_Hilbert__Choice_Oinv__into(c_Orderings_Otop__class_Otop(tc_fun(T_a, tc_bool)), V_f, T_a, T_b), V_f, T_b, T_a, T_a) = c_Fun_Oid(T_a)) | ~c_Fun_Oinj__on(V_f, c_Orderings_Otop__class_Otop(tc_fun(T_a, tc_bool)), T_a, T_b) )).
% 12.31/12.52 cnf(matrix-186, plain, ( ( c_Fun_Ocomp(c_Hilbert__Choice_Oinv__into(c_Orderings_Otop__class_Otop(tc_fun(T_a, tc_bool)), V_f, T_a, T_b), V_f, T_b, T_a, T_a) != c_Fun_Oid(T_a)) | c_Fun_Oinj__on(V_f, c_Orderings_Otop__class_Otop(tc_fun(T_a, tc_bool)), T_a, T_b) )).
% 12.31/12.52 cnf(matrix-187, plain, ( hBOOL(c_in(V_x, c_Orderings_Otop__class_Otop(tc_fun(T_a, tc_bool)), T_a)) )).
% 12.31/12.52 cnf(matrix-188, plain, ( c_Objects_Ohext(V_h, V_h_H) | ~c_BigStep_Oeval(V_P, V_e, hAPP(hAPP(c_Pair(tc_fun(tc_nat, tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar), tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar), tc_List_Olist(tc_String_Ochar)), tc_Option_Ooption(tc_Value_Oval))))), tc_fun(tc_List_Olist(tc_String_Ochar), tc_Option_Ooption(tc_Value_Oval))), V_h), V_l), V_e_H, hAPP(hAPP(c_Pair(tc_fun(tc_nat, tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar), tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar), tc_List_Olist(tc_String_Ochar)), tc_Option_Ooption(tc_Value_Oval))))), tc_fun(tc_List_Olist(tc_String_Ochar), tc_Option_Ooption(tc_Value_Oval))), V_h_H), V_l_H)) )).
% 12.31/12.52 cnf(matrix-189, plain, ( ( hAPP(V_f, V_x) != hAPP(V_f, V_y)) | ~c_Fun_Oinj__on(V_f, c_Orderings_Otop__class_Otop(tc_fun(T_a, tc_bool)), T_a, T_b) | ( V_x = V_y) )).
% 12.31/12.52 cnf(matrix-190, plain, ( ( hAPP(c_Fun_Oid(t_a), v_x) = v_x) )).
% 12.31/12.52 cnf(matrix-191, plain, ( ( V_e_H = c_Expr_Oexp_OVal(V_v, tc_List_Olist(tc_String_Ochar))) | ~c_BigStep_Oeval(V_P, c_Expr_Oexp_OVal(V_v, tc_List_Olist(tc_String_Ochar)), V_s, V_e_H, V_s_H) )).
% 12.31/12.52 cnf(matrix-192, plain, ( ( hAPP(c_Map_Orestrict__map(c_COMBK(c_Option_Ooption_ONone(T_b), tc_Option_Ooption(T_b), t_a), V_D, t_a, T_b), v_x) = c_Option_Ooption_ONone(T_b)) )).
% 12.31/12.52 cnf(matrix-193, plain, ( ( hAPP(V_f2, c_ATP__Linkup_Osko__Option__Xoption__Xcase__cong__1__1(V_xa, V_f2, V_g2, T_aa, T_a)) != hAPP(V_g2, c_ATP__Linkup_Osko__Option__Xoption__Xcase__cong__1__1(V_xa, V_f2, V_g2, T_aa, T_a))) | ( c_Option_Ooption_Ooption__case(V_x, V_f2, V_xa, T_a, T_aa) = c_Option_Ooption_Ooption__case(V_x, V_g2, V_xa, T_a, T_aa)) )).
% 12.31/12.52 cnf(matrix-194, plain, ( ( c_Value_Oval_OAddr(V_nat_H) != c_Value_Oval_OUnit) )).
% 12.31/12.52 cnf(matrix-195, plain, ( ~hBOOL(hAPP(c_Orderings_Obot__class_Obot(tc_fun(T_a, tc_bool)), V_x)) )).
% 12.31/12.52 cnf(matrix-196, plain, ( ( c_Orderings_Otop__class_Otop(tc_fun(T_a, tc_bool)) != c_Orderings_Obot__class_Obot(tc_fun(T_a, tc_bool))) )).
% 12.31/12.52 cnf(matrix-197, plain, ( ~class_OrderedGroup_Ocomm__monoid__add(T_b) | ( c_Finite__Set_Osetsum(V_f, V_B, T_a, T_b) = c_Finite__Set_Osetsum(c_Fun_Oid(T_b), c_Set_Oimage(V_f, V_B, T_a, T_b), T_b, T_b)) | ~c_Fun_Oinj__on(V_f, V_B, T_a, T_b) )).
% 12.31/12.52 cnf(matrix-198, plain, ( hBOOL(hAPP(V_P, c_Option_Ooption_Ooption__case(V_f1, V_f2, V_x, t_a, t_b))) | ~hBOOL(hAPP(V_P, hAPP(V_f2, v_sko__Option__Xoption__Xsplit__asm__1(V_P, V_f2, V_x)))) | ~hBOOL(hAPP(V_P, V_f1)) )).
% 12.31/12.52 cnf(matrix-199, plain, ( c_Exceptions_Opreallocated(V_h) | ~c_Conform_Ohconf(V_P, V_h, T_a) )).
% 12.31/12.52 cnf(matrix-200, plain, ( hBOOL(hAPP(c_Orderings_Otop__class_Otop(tc_fun(T_a, tc_bool)), V_x)) )).
% 12.31/12.52 cnf(matrix-201, plain, ( c_BigStep_Oeval(V_P, c_Expr_Oexp_OVal(V_v, tc_List_Olist(tc_String_Ochar)), V_s, c_Expr_Oexp_OVal(V_v, tc_List_Olist(tc_String_Ochar)), V_s) )).
% 12.31/12.52 cnf(matrix-202, plain, ( ~class_Orderings_Otop(T_b) | ( hAPP(c_Orderings_Otop__class_Otop(tc_fun(t_a, T_b)), v_x) = c_Orderings_Otop__class_Otop(T_b)) )).
% 12.31/12.52 cnf(matrix-203, plain, ( ( c_Option_Oset(V_xo, T_a) != c_Orderings_Obot__class_Obot(tc_fun(T_a, tc_bool))) | ( V_xo = c_Option_Ooption_ONone(T_a)) )).
% 12.31/12.52 cnf(matrix-204, plain, ( c_TypeRel_Owiden(V_P, c_Conform_Osko__Conform__Xconf__def__1__1(V_P, V_T, V_h, V_v, T_a), V_T, T_a) | ~c_Conform_Oconf(V_P, V_h, V_v, V_T, T_a) )).
% 12.31/12.52 cnf(matrix-205, plain, ( ( hAPP(c_Map_Orestrict__map(V_m, V_A, T_a, T_b), V_x) = hAPP(V_m, V_x)) | ~hBOOL(c_in(V_x, V_A, T_a)) )).
% 12.31/12.52 cnf(matrix-206, plain, ( ( c_Set_Oinsert(V_a, c_Set_Oinsert(V_b, c_Orderings_Obot__class_Obot(tc_fun(T_a, tc_bool)), T_a), T_a) != c_Set_Oinsert(V_c, c_Set_Oinsert(V_d, c_Orderings_Obot__class_Obot(tc_fun(T_a, tc_bool)), T_a), T_a)) | ( V_a = V_d) | ( V_a = V_c) )).
% 12.31/12.52 cnf(matrix-207, plain, ( ( c_Set_Oinsert(V_a, c_Set_Oinsert(V_b, c_Orderings_Obot__class_Obot(tc_fun(T_a, tc_bool)), T_a), T_a) != c_Set_Oinsert(V_c, c_Set_Oinsert(V_d, c_Orderings_Obot__class_Obot(tc_fun(T_a, tc_bool)), T_a), T_a)) | ( V_b = V_c) | ( V_a = V_c) )).
% 12.31/12.52 cnf(matrix-208, plain, ( ( c_Set_Oinsert(V_a, c_Set_Oinsert(V_b, c_Orderings_Obot__class_Obot(tc_fun(T_a, tc_bool)), T_a), T_a) != c_Set_Oinsert(V_c, c_Set_Oinsert(V_d, c_Orderings_Obot__class_Obot(tc_fun(T_a, tc_bool)), T_a), T_a)) | ( V_a = V_d) | ( V_b = V_d) )).
% 12.31/12.52 cnf(matrix-209, plain, ( ( c_Set_Oinsert(V_a, c_Set_Oinsert(V_b, c_Orderings_Obot__class_Obot(tc_fun(T_a, tc_bool)), T_a), T_a) != c_Set_Oinsert(V_c, c_Set_Oinsert(V_d, c_Orderings_Obot__class_Obot(tc_fun(T_a, tc_bool)), T_a), T_a)) | ( V_b = V_c) | ( V_b = V_d) )).
% 12.31/12.52 cnf(matrix-210, 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)) )).
% 12.31/12.52 cnf(matrix-211, plain, ( ~class_OrderedGroup_Ocomm__monoid__mult(T_b) | ( c_Finite__Set_Osetprod(V_f, V_B, T_a, T_b) = c_Finite__Set_Osetprod(c_Fun_Oid(T_b), c_Set_Oimage(V_f, V_B, T_a, T_b), T_b, T_b)) | ~c_Fun_Oinj__on(V_f, V_B, T_a, T_b) )).
% 12.31/12.52 cnf(matrix-212, plain, ( ( c_Map_Odom(V_f, T_a, T_b) != c_Orderings_Obot__class_Obot(tc_fun(T_a, tc_bool))) | ( V_f = c_COMBK(c_Option_Ooption_ONone(T_b), tc_Option_Ooption(T_b), T_a)) )).
% 12.31/12.52 cnf(matrix-213, plain, ( ( c_Orderings_Obot__class_Obot(tc_fun(T_a, tc_bool)) != c_Set_Oinsert(V_a, V_A, T_a)) )).
% 12.31/12.52 cnf(matrix-214, plain, ( ( c_Map_Oran(c_COMBK(c_Option_Ooption_ONone(T_a), tc_Option_Ooption(T_a), T_b), T_b, T_a) = c_Orderings_Obot__class_Obot(tc_fun(T_a, tc_bool))) )).
% 12.31/12.52 cnf(matrix-215, plain, ( ~hBOOL(c_in(V_a, c_Orderings_Obot__class_Obot(tc_fun(T_a, tc_bool)), T_a)) )).
% 12.31/12.52 cnf(matrix-216, plain, ( ~hBOOL(c_in(V_c, c_Orderings_Obot__class_Obot(tc_fun(T_a, tc_bool)), T_a)) )).
% 12.31/12.52 cnf(matrix-217, 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)) )).
% 12.31/12.52 cnf(matrix-218, plain, ( ~hBOOL(c_in(V_x, c_Orderings_Obot__class_Obot(tc_fun(T_a, tc_bool)), T_a)) )).
% 12.31/12.52 cnf(matrix-219, plain, ( ( hAPP(c_Fun_Ocomp(V_f, V_g, T_c, T_b, t_a), v_x) = hAPP(V_f, hAPP(V_g, v_x))) )).
% 12.31/12.52 cnf(matrix-220, plain, ( ( c_Option_Oset(hAPP(c_Option_Ooption_OSome(T_a), V_x), T_a) = c_Set_Oinsert(V_x, c_Orderings_Obot__class_Obot(tc_fun(T_a, tc_bool)), T_a)) )).
% 12.31/12.52 cnf(matrix-221, plain, ( ( c_Map_Odom(c_COMBK(hAPP(c_Option_Ooption_OSome(T_b), V_y), tc_Option_Ooption(T_b), T_a), T_a, T_b) = c_Orderings_Otop__class_Otop(tc_fun(T_a, tc_bool))) )).
% 12.31/12.52 cnf(matrix-222, plain, ( ( hAPP(c_Hilbert__Choice_Oinv__into(c_Orderings_Otop__class_Otop(tc_fun(T_a, tc_bool)), V_f, T_a, T_b), hAPP(V_f, V_x)) = V_x) | ~c_Fun_Oinj__on(V_f, c_Orderings_Otop__class_Otop(tc_fun(T_a, tc_bool)), T_a, T_b) )).
% 12.31/12.52 cnf(matrix-223, plain, ( ~c_Fun_Oinj__on(V_f, c_Orderings_Otop__class_Otop(tc_fun(T_aa, tc_bool)), T_aa, T_a) | ( hAPP(c_Hilbert__Choice_Oinv__into(c_Orderings_Otop__class_Otop(tc_fun(T_aa, tc_bool)), V_f, T_aa, T_a), hAPP(V_f, V_x)) = V_x) )).
% 12.31/12.52 cnf(matrix-224, plain, ( ( c_Set_Oimage(V_f, V_A, T_b, T_a) != c_Orderings_Obot__class_Obot(tc_fun(T_a, tc_bool))) | ( V_A = c_Orderings_Obot__class_Obot(tc_fun(T_b, tc_bool))) )).
% 12.31/12.52 cnf(matrix-225, plain, ( ( c_List_Ofilter(V_P, c_List_Olist_OCons(V_x, V_xs, T_a), T_a) = c_List_Ofilter(V_P, V_xs, T_a)) | hBOOL(hAPP(V_P, V_x)) )).
% 12.31/12.52 cnf(matrix-226, plain, ( ( hAPP(c_Map_Orestrict__map(V_m, c_Orderings_Obot__class_Obot(tc_fun(t_a, tc_bool)), t_a, T_b), v_x) = c_Option_Ooption_ONone(T_b)) )).
% 12.31/12.52 cnf(matrix-227, plain, ( ( c_Fun_Ocomp(c_Fun_Ocomp(V_g, c_Hilbert__Choice_Oinv__into(c_Orderings_Otop__class_Otop(tc_fun(T_a, tc_bool)), V_f, T_a, T_b), T_a, T_c, T_b), V_f, T_b, T_c, T_a) = V_g) | ~c_Fun_Oinj__on(V_f, c_Orderings_Otop__class_Otop(tc_fun(T_a, tc_bool)), T_a, T_b) )).
% 12.31/12.52 cnf(matrix-228, plain, ( ( hAPP(c_Map_Omap__of(c_TypeRel_Osko__TypeRel__Xhas__field__def__1__1(V_C, V_D, V_F, V_P, V_T, T_a), tc_prod(tc_List_Olist(tc_String_Ochar), tc_List_Olist(tc_String_Ochar)), tc_Type_Oty), hAPP(hAPP(c_Pair(tc_List_Olist(tc_String_Ochar), tc_List_Olist(tc_String_Ochar)), V_F), V_D)) = hAPP(c_Option_Ooption_OSome(tc_Type_Oty), V_T)) | ~c_TypeRel_Ohas__field(V_P, V_C, V_F, V_T, V_D, T_a) )).
% 12.31/12.52 cnf(matrix-229, plain, ( hBOOL(c_in(V_y, c_List_Oset(V_xs, T_a), T_a)) | ( V_y = V_x) | ~hBOOL(c_in(V_y, c_List_Oset(c_List_Olist_OCons(V_x, V_xs, T_a), T_a), T_a)) )).
% 12.31/12.52 cnf(matrix-230, 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)) )).
% 12.31/12.52 cnf(matrix-231, 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)) )).
% 12.31/12.52 cnf(matrix-232, 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)) )).
% 12.31/12.52 cnf(matrix-233, plain, ( ( hAPP(V_m, V_a) != hAPP(c_Option_Ooption_OSome(T_a), V_b)) | hBOOL(c_in(V_b, c_Map_Oran(V_m, T_b, T_a), T_a)) )).
% 12.31/12.52 cnf(matrix-234, plain, ( ( V_xo = hAPP(c_Option_Ooption_OSome(T_a), V_x)) | ~hBOOL(c_in(V_x, c_Option_Oset(V_xo, T_a), T_a)) )).
% 12.31/12.52 cnf(matrix-235, plain, ( ( hAPP(V_m, V_a) != hAPP(c_Option_Ooption_OSome(T_a), V_b)) | hBOOL(c_in(V_a, c_Map_Odom(V_m, T_b, T_a), T_b)) )).
% 12.31/12.52 cnf(matrix-236, plain, ( hBOOL(c_in(V_x, c_Option_Oset(hAPP(c_Option_Ooption_OSome(T_a), V_x), T_a), T_a)) )).
% 12.31/12.52 cnf(matrix-237, plain, ( hBOOL(c_in(hAPP(V_f, V_x), c_Set_Oimage(V_f, c_Orderings_Otop__class_Otop(tc_fun(T_b, tc_bool)), T_b, T_a), T_a)) )).
% 12.31/12.52 cnf(matrix-238, plain, ( hBOOL(c_in(hAPP(c_Hilbert__Choice_Oinv__into(V_A, V_f, T_b, T_a), V_x), V_A, T_b)) | ~hBOOL(c_in(V_x, c_Set_Oimage(V_f, V_A, T_b, T_a), T_a)) )).
% 12.31/12.52 cnf(matrix-239, plain, ( ( hAPP(c_Hilbert__Choice_Oinv__into(V_A, V_f, T_a, T_b), V_x) != hAPP(c_Hilbert__Choice_Oinv__into(V_A, V_f, T_a, T_b), V_y)) | ( V_x = V_y) | ~hBOOL(c_in(V_y, c_Set_Oimage(V_f, V_A, T_a, T_b), T_b)) | ~hBOOL(c_in(V_x, c_Set_Oimage(V_f, V_A, T_a, T_b), T_b)) )).
% 12.31/12.52 cnf(matrix-240, plain, ( ( hAPP(V_f, hAPP(c_Hilbert__Choice_Oinv__into(V_A, V_f, T_b, T_a), V_y)) = V_y) | ~hBOOL(c_in(V_y, c_Set_Oimage(V_f, V_A, T_b, T_a), T_a)) )).
% 12.31/12.52 cnf(matrix-241, plain, ( ( c_List_Oset(c_List_Olist_OCons(V_x, V_xs, T_a), T_a) = c_Set_Oinsert(V_x, c_List_Oset(V_xs, T_a), T_a)) )).
% 12.31/12.52 cnf(matrix-242, plain, ( ( hAPP(c_Hilbert__Choice_Oinv__into(V_A, V_f, T_a, T_b), hAPP(V_f, V_x)) = V_x) | ~hBOOL(c_in(V_x, V_A, T_a)) | ~c_Fun_Oinj__on(V_f, V_A, T_a, T_b) )).
% 12.31/12.52 cnf(matrix-243, plain, ( ~hBOOL(c_in(V_x, V_A, T_aa)) | ~c_Fun_Oinj__on(V_f, V_A, T_aa, T_a) | ( hAPP(c_Hilbert__Choice_Oinv__into(V_A, V_f, T_aa, T_a), hAPP(V_f, V_x)) = V_x) )).
% 12.31/12.52 cnf(matrix-244, plain, ( ( hAPP(c_Fun_Othe__inv__into(V_A, V_f, T_a, T_b), hAPP(V_f, V_x)) = V_x) | ~hBOOL(c_in(V_x, V_A, T_a)) | ~c_Fun_Oinj__on(V_f, V_A, T_a, T_b) )).
% 12.31/12.52 cnf(matrix-245, plain, ( ~c_Fun_Oinj__on(V_f, V_A, T_aa, T_a) | ( hAPP(c_Fun_Othe__inv__into(V_A, V_f, T_aa, T_a), hAPP(V_f, V_x)) = V_x) | ~hBOOL(c_in(V_x, V_A, T_aa)) )).
% 12.31/12.52 cnf(matrix-246, plain, ( ( hAPP(c_Map_Orestrict__map(V_m, V_A, T_a, T_b), V_x) = c_Option_Ooption_ONone(T_b)) | hBOOL(c_in(V_x, V_A, T_a)) )).
% 12.31/12.52 cnf(matrix-247, plain, ( ( hAPP(V_m, V_a) != c_Option_Ooption_ONone(T_b)) | ~hBOOL(c_in(V_a, c_Map_Odom(V_m, T_a, T_b), T_a)) )).
% 12.31/12.52 cnf(matrix-248, plain, ( hBOOL(c_in(V_a, c_Map_Odom(V_m, T_a, T_b), T_a)) | ( hAPP(V_m, V_a) = c_Option_Ooption_ONone(T_b)) )).
% 12.31/12.52 cnf(matrix-249, plain, ( ( c_Map_Orestrict__map(c_Fun_Ofun__upd(V_m, V_x, V_y, T_a, tc_Option_Ooption(T_b)), V_D, T_a, T_b) = c_Map_Orestrict__map(V_m, V_D, T_a, T_b)) | hBOOL(c_in(V_x, V_D, T_a)) )).
% 12.31/12.52 cnf(matrix-250, plain, ( ( hAPP(V_f, V_x) != hAPP(c_Option_Ooption_OSome(T_a), V_y)) | ( c_Set_Oinsert(V_x, c_Map_Odom(V_f, T_b, T_a), T_b) = c_Map_Odom(V_f, T_b, T_a)) )).
% 12.31/12.52 cnf(matrix-251, plain, ( c_Fun_Oinj__on(c_Fun_Othe__inv__into(V_A, V_f, T_a, T_b), c_Set_Oimage(V_f, V_A, T_a, T_b), T_b, T_a) | ~c_Fun_Oinj__on(V_f, V_A, T_a, T_b) )).
% 12.31/12.52 cnf(matrix-252, plain, ( ( c_Set_Oimage(V_f, V_A, T_a, T_b) != c_Set_Oimage(V_f, V_B, T_a, T_b)) | ~c_Fun_Oinj__on(V_f, c_Orderings_Otop__class_Otop(tc_fun(T_a, tc_bool)), T_a, T_b) | ( V_A = V_B) )).
% 12.31/12.52 cnf(matrix-253, plain, ( ( c_Set_Oimage(c_Fun_Othe__inv__into(V_A, V_f, T_a, T_b), c_Set_Oimage(V_f, V_A, T_a, T_b), T_b, T_a) = V_A) | ~c_Fun_Oinj__on(V_f, V_A, T_a, T_b) )).
% 12.31/12.52 cnf(matrix-254, plain, ( ( c_Set_Oimage(c_COMBK(V_c, T_a, T_b), c_Orderings_Obot__class_Obot(tc_fun(T_b, tc_bool)), T_b, T_a) = c_Orderings_Obot__class_Obot(tc_fun(T_a, tc_bool))) )).
% 12.31/12.52 cnf(matrix-255, plain, ( ( c_Map_Orestrict__map(V_f, c_Set_Oinsert(V_a, V_A, T_a), T_a, T_b) = c_Fun_Ofun__upd(c_Map_Orestrict__map(V_f, V_A, T_a, T_b), V_a, hAPP(V_f, V_a), T_a, tc_Option_Ooption(T_b))) )).
% 12.31/12.52 cnf(matrix-256, plain, ( ( hAPP(c_Map_Omap__add(V_l1, V_l2, T_a, T_b), V_m) = hAPP(V_l2, V_m)) | ~hBOOL(c_in(V_m, c_Map_Odom(V_l2, T_a, T_b), T_a)) )).
% 12.31/12.52 cnf(matrix-257, plain, ( ( hAPP(c_Map_Omap__add(V_l1, V_l2, T_a, T_b), V_m) = hAPP(V_l2, V_m)) | hBOOL(c_in(V_m, c_Map_Odom(V_l1, T_a, T_b), T_a)) )).
% 12.31/12.52 cnf(matrix-258, plain, ( ( hAPP(c_Map_Omap__add(V_l1, V_l2, T_a, T_b), V_m) = hAPP(V_l1, V_m)) | hBOOL(c_in(V_m, c_Map_Odom(V_l2, T_a, T_b), T_a)) )).
% 12.31/12.52 cnf(matrix-259, 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) )).
% 12.31/12.52 cnf(matrix-260, plain, ( ( hAPP(c_Map_Omap__upds(V_f, V_xs, V_ys, T_a, T_b), V_x) = hAPP(V_f, V_x)) | hBOOL(c_in(V_x, c_List_Oset(V_xs, T_a), T_a)) )).
% 12.31/12.52 cnf(matrix-261, plain, ( ( hAPP(V_m_092_060_094isub_0621, V_x) = hAPP(V_m_092_060_094isub_0622, V_x)) | ~hBOOL(c_in(V_x, c_Map_Odom(V_m_092_060_094isub_0621, T_a, T_b), T_a)) | ~c_Map_Omap__le(V_m_092_060_094isub_0621, V_m_092_060_094isub_0622, T_a, T_b) )).
% 12.31/12.52 cnf(matrix-262, plain, ( c_SmallStep_Oredp(V_P, c_Expr_Oexp_OFAss(c_Expr_Oexp_OVal(V_v, tc_List_Olist(tc_String_Ochar)), V_F, V_D, V_e, tc_List_Olist(tc_String_Ochar)), V_s, c_Expr_Oexp_OFAss(c_Expr_Oexp_OVal(V_v, tc_List_Olist(tc_String_Ochar)), V_F, V_D, V_e_H, tc_List_Olist(tc_String_Ochar)), V_s_H) | ~c_SmallStep_Oredp(V_P, V_e, V_s, V_e_H, V_s_H) )).
% 12.31/12.52 cnf(matrix-263, plain, ( ( c_Option_Ooption_Ooption__case(V_x, V_f2, V_xa, T_a, T_aa) = c_Option_Ooption_Ooption__case(V_x, V_g2, V_xa, T_a, T_aa)) | ( V_xa = hAPP(c_Option_Ooption_OSome(T_aa), c_ATP__Linkup_Osko__Option__Xoption__Xcase__cong__1__1(V_xa, V_f2, V_g2, T_aa, T_a))) )).
% 12.31/12.52 cnf(matrix-264, plain, ( hBOOL(hAPP(V_P, c_Option_Ooption_Ooption__case(V_f1, V_f2, V_x, t_a, t_b))) | ( V_x = hAPP(c_Option_Ooption_OSome(t_b), v_sko__Option__Xoption__Xsplit__asm__1(V_P, V_f2, V_x))) | ~hBOOL(hAPP(V_P, V_f1)) )).
% 12.31/12.52 cnf(matrix-265, plain, ( hBOOL(hAPP(V_P, c_Option_Ooption_Ooption__case(V_f1, V_f2, V_x, t_a, t_b))) | ( V_x = hAPP(c_Option_Ooption_OSome(t_b), v_sko__Option__Xoption__Xsplit__1(V_P, V_f2, V_x))) | ~hBOOL(hAPP(V_P, V_f1)) )).
% 12.31/12.52 cnf(matrix-266, plain, ( hBOOL(hAPP(V_P, c_Option_Ooption_Ooption__case(V_f1, V_f2, V_x, t_a, t_b))) | ~hBOOL(hAPP(V_P, hAPP(V_f2, v_sko__Option__Xoption__Xsplit__1(V_P, V_f2, V_x)))) | ( V_x = c_Option_Ooption_ONone(t_b)) )).
% 12.31/12.52 cnf(matrix-267, plain, ( ( hAPP(V_f2, c_ATP__Linkup_Osko__Option__Xoption__Xcase__cong__1__1(V_x, V_f2, V_g2, T_a, T_b)) != hAPP(V_g2, c_ATP__Linkup_Osko__Option__Xoption__Xcase__cong__1__1(V_x, V_f2, V_g2, T_a, T_b))) | ( V_x = c_Option_Ooption_ONone(T_a)) | ( c_Option_Ooption_Ooption__case(V_f1, V_f2, V_x, T_b, T_a) = c_Option_Ooption_Ooption__case(V_g1, V_g2, V_x, T_b, T_a)) )).
% 12.31/12.52 cnf(matrix-268, plain, ( hBOOL(hAPP(V_P, c_Option_Ooption_Ooption__case(V_f1, V_f2, V_x, t_a, t_b))) | ~hBOOL(hAPP(V_P, hAPP(V_f2, v_sko__Option__Xoption__Xsplit__asm__1(V_P, V_f2, V_x)))) | ( V_x = c_Option_Ooption_ONone(t_b)) )).
% 12.31/12.52 cnf(matrix-269, plain, ( ( hAPP(c_Product__Type_Oscomp(V_f, V_g, t_a, T_c, T_d, T_b), v_x) = hAPP(hAPP(c_split(T_c, T_d, T_b), V_g), hAPP(V_f, v_x))) )).
% 12.31/12.52 cnf(matrix-270, plain, ( ( c_Map_Omap__comp(V_m1, V_m2, V_k, T_b, T_a, T_c) != c_Option_Ooption_ONone(T_a)) | ( hAPP(V_m1, c_Map_Osko__Map__Xmap__comp__None__iff__1__1(V_k, V_m1, V_m2, T_c, T_b, T_a)) = c_Option_Ooption_ONone(T_a)) | ( hAPP(V_m2, V_k) = c_Option_Ooption_ONone(T_b)) )).
% 12.31/12.52 cnf(matrix-271, plain, ( c_Objects_Ohext(V_h, V_h) )).
% 12.31/12.52 cnf(matrix-272, plain, ( c_Conform_Oconf(V_P, V_h_H, V_v, V_T, T_a) | ~c_Conform_Oconf(V_P, V_h, V_v, V_T, T_a) | ~c_Objects_Ohext(V_h, V_h_H) )).
% 12.31/12.52 cnf(matrix-273, plain, ( ( hAPP(c_split(T_a, T_b, T_c), c_curry(V_f, T_a, T_b, T_c)) = V_f) )).
% 12.31/12.52 cnf(matrix-274, plain, ( hBOOL(hAPP(c_Set_Oinsert(V_y, V_A, T_a), V_x)) | ~hBOOL(hAPP(V_A, V_x)) )).
% 12.31/12.52 cnf(matrix-275, plain, ( ( c_Set_Oinsert(hAPP(V_f, V_x), c_Set_Oimage(V_f, V_A, T_a, T_b), T_b) = c_Set_Oimage(V_f, V_A, T_a, T_b)) | ~hBOOL(c_in(V_x, V_A, T_a)) )).
% 12.31/12.52 cnf(matrix-276, 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) )).
% 12.31/12.52 cnf(matrix-277, plain, ( ( hAPP(hAPP(c_Product__Type_Oapsnd(T_c, T_b, T_a), V_f), hAPP(c_Product__Type_Oapfst(V_g, T_d, T_a, T_c), V_p)) = hAPP(c_Product__Type_Oapfst(V_g, T_d, T_a, T_b), hAPP(hAPP(c_Product__Type_Oapsnd(T_c, T_b, T_d), V_f), V_p))) )).
% 12.31/12.52 cnf(matrix-278, plain, ( ( hAPP(c_Product__Type_Oscomp(V_f, V_g, T_b, T_c, T_d, T_a), V_x) = hAPP(hAPP(c_split(T_c, T_d, T_a), V_g), hAPP(V_f, V_x))) )).
% 12.31/12.52 cnf(matrix-279, plain, ( ( hAPP(hAPP(c_Product__Type_Oapsnd(T_c, T_b, T_a), V_f), hAPP(hAPP(c_Product__Type_Oapsnd(T_d, T_c, T_a), V_g), V_x)) = hAPP(hAPP(c_Product__Type_Oapsnd(T_d, T_b, T_a), c_Fun_Ocomp(V_f, V_g, T_c, T_b, T_d)), V_x)) )).
% 12.31/12.52 cnf(matrix-280, plain, ( ( hAPP(c_Product__Type_Oapfst(V_f, T_c, T_a, T_b), hAPP(hAPP(c_Product__Type_Oapsnd(T_d, T_b, T_c), V_g), V_x)) = hAPP(hAPP(c_Pair(T_a, T_b), hAPP(V_f, c_fst(V_x, T_c, T_d))), hAPP(V_g, c_snd(V_x, T_c, T_d)))) )).
% 12.31/12.52 cnf(matrix-281, plain, ( ( c_snd(hAPP(hAPP(c_Product__Type_Oapsnd(T_c, T_a, T_b), V_f), V_x), T_b, T_a) = hAPP(V_f, c_snd(V_x, T_b, T_c))) )).
% 12.31/12.52 cnf(matrix-282, plain, ( ( c_curry(hAPP(c_split(T_a, T_b, T_c), V_f), T_a, T_b, T_c) = V_f) )).
% 12.31/12.52 cnf(matrix-283, plain, ( hBOOL(c_in(V_z, hAPP(hAPP(c_split(T_b, T_c, tc_fun(T_a, tc_bool)), V_c), hAPP(hAPP(c_Pair(T_b, T_c), V_a), V_b)), T_a)) | ~hBOOL(c_in(V_z, hAPP(hAPP(V_c, V_a), V_b), T_a)) )).
% 12.31/12.52 cnf(matrix-284, plain, ( ( V_x = c_Option_Ooption_ONone(T_a)) | ~hBOOL(c_Option_Ois__none(V_x, T_a)) )).
% 12.31/12.52 cnf(matrix-285, plain, ( ( c_Set_Oinsert(V_a, V_A, T_a) = V_A) | ~hBOOL(c_in(V_a, V_A, T_a)) )).
% 12.31/12.52 cnf(matrix-286, plain, ( ( hAPP(c_Option_Omap(V_f, T_b, T_a), c_Option_Ooption_ONone(T_b)) = c_Option_Ooption_ONone(T_a)) )).
% 12.31/12.52 cnf(matrix-287, plain, ( c_Fun_Oinj__on(c_Fun_Ocomp(V_g, V_f, T_b, T_c, T_a), V_A, T_a, T_c) | ~c_Fun_Oinj__on(V_g, c_Set_Oimage(V_f, V_A, T_a, T_b), T_b, T_c) | ~c_Fun_Oinj__on(V_f, V_A, T_a, T_b) )).
% 12.31/12.52 cnf(matrix-288, plain, ( c_Fun_Oinj__on(c_Fun_Oswap(V_a, V_b, V_f, T_a, T_b), V_A, T_a, T_b) | ~hBOOL(c_in(V_b, V_A, T_a)) | ~hBOOL(c_in(V_a, V_A, T_a)) | ~c_Fun_Oinj__on(V_f, V_A, T_a, T_b) )).
% 12.31/12.52 cnf(matrix-289, plain, ( c_Fun_Oinj__on(c_Fun_Oswap(V_a, V_b, V_f, T_a, T_b), V_A, T_a, T_b) | ~c_Fun_Oinj__on(V_f, V_A, T_a, T_b) | ~hBOOL(c_in(V_b, V_A, T_a)) | ~hBOOL(c_in(V_a, V_A, T_a)) )).
% 12.31/12.52 cnf(matrix-290, plain, ( c_Fun_Oinj__on(V_f, V_A, T_a, T_b) | ~c_Fun_Oinj__on(c_Fun_Oswap(V_a, V_b, V_f, T_a, T_b), V_A, T_a, T_b) | ~hBOOL(c_in(V_b, V_A, T_a)) | ~hBOOL(c_in(V_a, V_A, T_a)) )).
% 12.31/12.52 cnf(matrix-291, plain, ( ( c_Map_Omap__of(c_List_Olist_OCons(V_p, V_ps, tc_prod(T_a, T_b)), T_a, T_b) = c_Fun_Ofun__upd(c_Map_Omap__of(V_ps, T_a, T_b), c_fst(V_p, T_a, T_b), hAPP(c_Option_Ooption_OSome(T_b), c_snd(V_p, T_a, T_b)), T_a, tc_Option_Ooption(T_b))) )).
% 12.31/12.52 cnf(matrix-292, plain, ( ( hAPP(V_m, V_k) != c_Option_Ooption_ONone(T_a)) | ( hAPP(V_n, V_k) != c_Option_Ooption_ONone(T_a)) | ( hAPP(c_Map_Omap__add(V_m, V_n, T_b, T_a), V_k) = c_Option_Ooption_ONone(T_a)) )).
% 12.31/12.52 cnf(matrix-293, plain, ( ( c_List_Olist_OCons(V_x, V_t, T_a) != V_t) )).
% 12.31/12.52 cnf(matrix-294, plain, ( ( V_xs != c_List_Olist_OCons(V_x, V_xs, T_a)) )).
% 12.31/12.52 cnf(matrix-295, plain, ( ( hAPP(V_m2, V_k) != c_Option_Ooption_ONone(T_b)) | ( c_Map_Omap__comp(V_m1, V_m2, V_k, T_b, T_a, T_c) = c_Option_Ooption_ONone(T_a)) )).
% 12.31/12.52 cnf(matrix-296, plain, ( ( hAPP(V_m2, V_k) != c_Option_Ooption_ONone(T_a)) | ( c_Map_Omap__comp(V_m1, V_m2, V_k, T_a, T_c, T_b) = c_Option_Ooption_ONone(T_c)) )).
% 12.31/12.52 cnf(matrix-297, plain, ( c_Map_Omap__le(V_f, c_Map_Omap__add(V_g, V_f, T_a, T_b), T_a, T_b) )).
% 12.31/12.52 cnf(matrix-298, plain, ( ~hBOOL(c_in(V_x, V_A, T_aa)) | hBOOL(c_in(hAPP(V_f, V_x), c_Set_Oimage(V_f, V_A, T_aa, T_a), T_a)) )).
% 12.31/12.52 cnf(matrix-299, plain, ( ~hBOOL(c_in(V_x, V_A, T_b)) | hBOOL(c_in(hAPP(V_f, V_x), c_Set_Oimage(V_f, V_A, T_b, T_a), T_a)) )).
% 12.31/12.52 cnf(matrix-300, plain, ( hBOOL(c_in(hAPP(V_f, V_x), c_Set_Oimage(V_f, V_A, T_b, T_a), T_a)) | ~hBOOL(c_in(V_x, V_A, T_b)) )).
% 12.31/12.52 cnf(matrix-301, plain, ( hBOOL(c_in(hAPP(V_f, V_x), c_Set_Oimage(V_f, V_A, T_a, T_b), T_b)) | ~hBOOL(c_in(V_x, V_A, T_a)) )).
% 12.31/12.52 cnf(matrix-302, plain, ( ( c_Fun_Ocomp(V_f, c_Fun_Oswap(V_a, V_b, V_g, T_a, T_c), T_c, T_b, T_a) = c_Fun_Oswap(V_a, V_b, c_Fun_Ocomp(V_f, V_g, T_c, T_b, T_a), T_a, T_b)) )).
% 12.31/12.52 cnf(matrix-303, plain, ( c_Map_Omap__le(c_Map_Omap__add(V_f, V_g, T_a, T_b), V_h, T_a, T_b) | ~c_Map_Omap__le(V_f, c_Map_Omap__add(V_f, V_g, T_a, T_b), T_a, T_b) | ~c_Map_Omap__le(V_g, V_h, T_a, T_b) | ~c_Map_Omap__le(V_f, V_h, T_a, T_b) )).
% 12.31/12.52 cnf(matrix-304, plain, ( c_TypeRel_Owiden(v_P, v_Tv____, v_TF____, tc_prod(tc_List_Olist(tc_List_Olist(tc_String_Ochar)), tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)))) )).
% 12.31/12.52 cnf(matrix-305, plain, ( ( hAPP(V_h, V_a) != c_Option_Ooption_ONone(tc_prod(tc_List_Olist(tc_String_Ochar), tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar), tc_List_Olist(tc_String_Ochar)), tc_Option_Ooption(tc_Value_Oval))))) | ~c_Conform_Ohconf(V_P, V_h, T_a) | c_Conform_Ohconf(V_P, c_Fun_Ofun__upd(V_h, V_a, hAPP(c_Option_Ooption_OSome(tc_prod(tc_List_Olist(tc_String_Ochar), tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar), tc_List_Olist(tc_String_Ochar)), tc_Option_Ooption(tc_Value_Oval)))), V_obj), tc_nat, tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar), tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar), tc_List_Olist(tc_String_Ochar)), tc_Option_Ooption(tc_Value_Oval))))), T_a) | ~c_Conform_Ooconf(V_P, V_h, V_obj, T_a) )).
% 12.31/12.52 cnf(matrix-306, plain, ( ( hAPP(c_Fun_Ocomp(c_Option_Omap(V_f, T_c, T_b), c_COMBK(c_Option_Ooption_ONone(T_c), tc_Option_Ooption(T_c), t_a), tc_Option_Ooption(T_c), tc_Option_Ooption(T_b), t_a), v_x) = c_Option_Ooption_ONone(T_b)) )).
% 12.31/12.52 cnf(matrix-307, plain, ( ( hAPP(c_Map_Omap__of(V_x, tc_prod(tc_List_Olist(tc_String_Ochar), tc_List_Olist(tc_String_Ochar)), tc_Type_Oty), hAPP(hAPP(c_Pair(tc_List_Olist(tc_String_Ochar), tc_List_Olist(tc_String_Ochar)), V_F), V_D)) != hAPP(c_Option_Ooption_OSome(tc_Type_Oty), V_T)) | ~c_TypeRel_OFields(V_P, V_C, V_x, T_a) | c_TypeRel_Ohas__field(V_P, V_C, V_F, V_T, V_D, T_a) )).
% 12.31/12.52 cnf(matrix-308, plain, ( ( c_Map_Omap__upds(c_Fun_Ofun__upd(V_m, V_a, hAPP(c_Option_Ooption_OSome(T_b), V_b), T_a, tc_Option_Ooption(T_b)), V_as, V_bs, T_a, T_b) = c_Fun_Ofun__upd(c_Map_Omap__upds(V_m, V_as, V_bs, T_a, T_b), V_a, hAPP(c_Option_Ooption_OSome(T_b), V_b), T_a, tc_Option_Ooption(T_b))) | hBOOL(c_in(V_a, c_List_Oset(V_as, T_a), T_a)) )).
% 12.31/12.52 cnf(matrix-309, plain, ( ( c_Map_Omap__add(c_Fun_Ofun__upd(V_e1, V_m, hAPP(c_Option_Ooption_OSome(T_b), V_u1), T_a, tc_Option_Ooption(T_b)), V_e2, T_a, T_b) = c_Fun_Ofun__upd(c_Map_Omap__add(V_e1, V_e2, T_a, T_b), V_m, hAPP(c_Option_Ooption_OSome(T_b), V_u1), T_a, tc_Option_Ooption(T_b))) | hBOOL(c_in(V_m, c_Map_Odom(V_e2, T_a, T_b), T_a)) )).
% 12.31/12.52 cnf(matrix-310, plain, ( ( hAPP(V_m, V_a) != c_Option_Ooption_ONone(T_a)) | ( c_Map_Oran(c_Fun_Ofun__upd(V_m, V_a, hAPP(c_Option_Ooption_OSome(T_a), V_b), T_b, tc_Option_Ooption(T_a)), T_b, T_a) = c_Set_Oinsert(V_b, c_Map_Oran(V_m, T_b, T_a), T_a)) )).
% 12.31/12.52 cnf(matrix-311, plain, ( hBOOL(c_in(c_ATP__Linkup_Osko__Option__Xospec__1__1(hAPP(c_Option_Ooption_OSome(T_a), V_x), V_P, T_a), c_Option_Oset(hAPP(c_Option_Ooption_OSome(T_a), V_x), T_a), T_a)) | hBOOL(hAPP(V_P, V_x)) )).
% 12.31/12.52 cnf(matrix-312, plain, ( ( hAPP(c_Fun_Othe__inv__into(V_A, c_Fun_Ocomp(V_f, V_g, T_a, T_b, T_c), T_c, T_b), V_x) = hAPP(c_Fun_Ocomp(c_Fun_Othe__inv__into(V_A, V_g, T_c, T_a), c_Fun_Othe__inv__into(c_Set_Oimage(V_g, V_A, T_c, T_a), V_f, T_a, T_b), T_a, T_c, T_b), V_x)) | ~hBOOL(c_in(V_x, c_Set_Oimage(V_f, c_Set_Oimage(V_g, V_A, T_c, T_a), T_a, T_b), T_b)) | ~c_Fun_Oinj__on(V_g, V_A, T_c, T_a) | ~c_Fun_Oinj__on(V_f, c_Set_Oimage(V_g, V_A, T_c, T_a), T_a, T_b) )).
% 12.31/12.52 cnf(matrix-313, plain, ( ( hAPP(c_Hilbert__Choice_Oinv__into(V_A, c_Fun_Ocomp(V_f, V_g, T_a, T_b, T_c), T_c, T_b), V_x) = hAPP(c_Fun_Ocomp(c_Hilbert__Choice_Oinv__into(V_A, V_g, T_c, T_a), c_Hilbert__Choice_Oinv__into(c_Set_Oimage(V_g, V_A, T_c, T_a), V_f, T_a, T_b), T_a, T_c, T_b), V_x)) | ~hBOOL(c_in(V_x, c_Set_Oimage(V_f, c_Set_Oimage(V_g, V_A, T_c, T_a), T_a, T_b), T_b)) | ~c_Fun_Oinj__on(V_g, V_A, T_c, T_a) | ~c_Fun_Oinj__on(V_f, c_Set_Oimage(V_g, V_A, T_c, T_a), T_a, T_b) )).
% 12.31/12.52 cnf(matrix-314, plain, ( ( c_Set_Oimage(c_COMBK(V_c, T_b, T_a), V_A, T_a, T_b) = c_Set_Oinsert(V_c, c_Orderings_Obot__class_Obot(tc_fun(T_b, tc_bool)), T_b)) | ~hBOOL(c_in(V_x, V_A, T_a)) )).
% 12.31/12.52 cnf(matrix-315, plain, ( ( hAPP(V_h, V_a) != c_Option_Ooption_ONone(tc_prod(tc_List_Olist(tc_String_Ochar), tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar), tc_List_Olist(tc_String_Ochar)), tc_Option_Ooption(tc_Value_Oval))))) | ~c_Conform_Ooconf(V_P, V_h, V_obj, T_a) | c_Conform_Ooconf(V_P, c_Fun_Ofun__upd(V_h, V_a, hAPP(c_Option_Ooption_OSome(tc_prod(tc_List_Olist(tc_String_Ochar), tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar), tc_List_Olist(tc_String_Ochar)), tc_Option_Ooption(tc_Value_Oval)))), V_x), tc_nat, tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar), tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar), tc_List_Olist(tc_String_Ochar)), tc_Option_Ooption(tc_Value_Oval))))), V_obj, T_a) )).
% 12.31/12.52 cnf(matrix-316, plain, ( ( c_Map_Omap__comp(c_COMBK(c_Option_Ooption_ONone(T_b), tc_Option_Ooption(T_b), T_c), V_m, v_x, T_c, T_b, t_a) = c_Option_Ooption_ONone(T_b)) )).
% 12.31/12.52 cnf(matrix-317, plain, ( ( c_Map_Omap__comp(V_m, c_COMBK(c_Option_Ooption_ONone(T_c), tc_Option_Ooption(T_c), t_a), v_x, T_c, T_b, t_a) = c_Option_Ooption_ONone(T_b)) )).
% 12.31/12.52 cnf(matrix-318, plain, ( ( hAPP(V_h, V_a) != c_Option_Ooption_ONone(tc_prod(tc_List_Olist(tc_String_Ochar), tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar), tc_List_Olist(tc_String_Ochar)), tc_Option_Ooption(tc_Value_Oval))))) | c_Objects_Ohext(V_h, c_Fun_Ofun__upd(V_h, V_a, hAPP(c_Option_Ooption_OSome(tc_prod(tc_List_Olist(tc_String_Ochar), tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar), tc_List_Olist(tc_String_Ochar)), tc_Option_Ooption(tc_Value_Oval)))), V_x), tc_nat, tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar), tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar), tc_List_Olist(tc_String_Ochar)), tc_Option_Ooption(tc_Value_Oval)))))) )).
% 12.31/12.52 cnf(matrix-319, plain, ( ( c_Objects_Otypeof__h(V_h, V_v) != hAPP(c_Option_Ooption_OSome(tc_Type_Oty), V_x)) | c_Conform_Oconf(V_P, V_h, V_v, V_T, T_a) | ~c_TypeRel_Owiden(V_P, V_x, V_T, T_a) )).
% 12.31/12.52 cnf(matrix-320, plain, ( ( c_Objects_Otypeof__h(V_h, V_v) = hAPP(c_Option_Ooption_OSome(tc_Type_Oty), c_Conform_Osko__Conform__Xconf__def__1__1(V_P, V_T, V_h, V_v, T_a))) | ~c_Conform_Oconf(V_P, V_h, V_v, V_T, T_a) )).
% 12.31/12.52 cnf(matrix-321, plain, ( ( hAPP(V_h, V_a) != hAPP(c_Option_Ooption_OSome(tc_prod(tc_List_Olist(tc_String_Ochar), tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar), tc_List_Olist(tc_String_Ochar)), tc_Option_Ooption(tc_Value_Oval)))), hAPP(hAPP(c_Pair(tc_List_Olist(tc_String_Ochar), tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar), tc_List_Olist(tc_String_Ochar)), tc_Option_Ooption(tc_Value_Oval))), V_C), V_fs))) | c_SmallStep_Oredp(V_P, c_Expr_Oexp_OFAss(c_Expr_Oexp_OVal(c_Value_Oval_OAddr(V_a), tc_List_Olist(tc_String_Ochar)), V_F, V_D, c_Expr_Oexp_OVal(V_v, tc_List_Olist(tc_String_Ochar)), tc_List_Olist(tc_String_Ochar)), hAPP(hAPP(c_Pair(tc_fun(tc_nat, tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar), tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar), tc_List_Olist(tc_String_Ochar)), tc_Option_Ooption(tc_Value_Oval))))), tc_fun(tc_List_Olist(tc_String_Ochar), tc_Option_Ooption(tc_Value_Oval))), V_h), V_l), c_Expr_Oexp_OVal(c_Value_Oval_OUnit, tc_List_Olist(tc_String_Ochar)), hAPP(hAPP(c_Pair(tc_fun(tc_nat, tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar), tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar), tc_List_Olist(tc_String_Ochar)), tc_Option_Ooption(tc_Value_Oval))))), tc_fun(tc_List_Olist(tc_String_Ochar), tc_Option_Ooption(tc_Value_Oval))), c_Fun_Ofun__upd(V_h, V_a, hAPP(c_Option_Ooption_OSome(tc_prod(tc_List_Olist(tc_String_Ochar), tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar), tc_List_Olist(tc_String_Ochar)), tc_Option_Ooption(tc_Value_Oval)))), hAPP(hAPP(c_Pair(tc_List_Olist(tc_String_Ochar), tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar), tc_List_Olist(tc_String_Ochar)), tc_Option_Ooption(tc_Value_Oval))), V_C), c_Fun_Ofun__upd(V_fs, hAPP(hAPP(c_Pair(tc_List_Olist(tc_String_Ochar), tc_List_Olist(tc_String_Ochar)), V_F), V_D), hAPP(c_Option_Ooption_OSome(tc_Value_Oval), V_v), tc_prod(tc_List_Olist(tc_String_Ochar), tc_List_Olist(tc_String_Ochar)), tc_Option_Ooption(tc_Value_Oval)))), tc_nat, tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar), tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar), tc_List_Olist(tc_String_Ochar)), tc_Option_Ooption(tc_Value_Oval)))))), V_l)) )).
% 12.31/12.52 cnf(matrix-322, plain, ( ( hAPP(V_h_092_060_094isub_0622, V_a) != hAPP(c_Option_Ooption_OSome(tc_prod(tc_List_Olist(tc_String_Ochar), tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar), tc_List_Olist(tc_String_Ochar)), tc_Option_Ooption(tc_Value_Oval)))), hAPP(hAPP(c_Pair(tc_List_Olist(tc_String_Ochar), tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar), tc_List_Olist(tc_String_Ochar)), tc_Option_Ooption(tc_Value_Oval))), V_C), V_fs))) | ~c_BigStep_Oeval(V_P, V_e_092_060_094isub_0622, V_s_092_060_094isub_0621, c_Expr_Oexp_OVal(V_v, tc_List_Olist(tc_String_Ochar)), hAPP(hAPP(c_Pair(tc_fun(tc_nat, tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar), tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar), tc_List_Olist(tc_String_Ochar)), tc_Option_Ooption(tc_Value_Oval))))), tc_fun(tc_List_Olist(tc_String_Ochar), tc_Option_Ooption(tc_Value_Oval))), V_h_092_060_094isub_0622), V_l_092_060_094isub_0622)) | ~c_BigStep_Oeval(V_P, V_e_092_060_094isub_0621, V_s_092_060_094isub_0620, c_Expr_Oexp_OVal(c_Value_Oval_OAddr(V_a), tc_List_Olist(tc_String_Ochar)), V_s_092_060_094isub_0621) | c_BigStep_Oeval(V_P, c_Expr_Oexp_OFAss(V_e_092_060_094isub_0621, V_F, V_D, V_e_092_060_094isub_0622, tc_List_Olist(tc_String_Ochar)), V_s_092_060_094isub_0620, c_Expr_Oexp_OVal(c_Value_Oval_OUnit, tc_List_Olist(tc_String_Ochar)), hAPP(hAPP(c_Pair(tc_fun(tc_nat, tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar), tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar), tc_List_Olist(tc_String_Ochar)), tc_Option_Ooption(tc_Value_Oval))))), tc_fun(tc_List_Olist(tc_String_Ochar), tc_Option_Ooption(tc_Value_Oval))), c_Fun_Ofun__upd(V_h_092_060_094isub_0622, V_a, hAPP(c_Option_Ooption_OSome(tc_prod(tc_List_Olist(tc_String_Ochar), tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar), tc_List_Olist(tc_String_Ochar)), tc_Option_Ooption(tc_Value_Oval)))), hAPP(hAPP(c_Pair(tc_List_Olist(tc_String_Ochar), tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar), tc_List_Olist(tc_String_Ochar)), tc_Option_Ooption(tc_Value_Oval))), V_C), c_Fun_Ofun__upd(V_fs, hAPP(hAPP(c_Pair(tc_List_Olist(tc_String_Ochar), tc_List_Olist(tc_String_Ochar)), V_F), V_D), hAPP(c_Option_Ooption_OSome(tc_Value_Oval), V_v), tc_prod(tc_List_Olist(tc_String_Ochar), tc_List_Olist(tc_String_Ochar)), tc_Option_Ooption(tc_Value_Oval)))), tc_nat, tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar), tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar), tc_List_Olist(tc_String_Ochar)), tc_Option_Ooption(tc_Value_Oval)))))), V_l_092_060_094isub_0622)) )).
% 12.31/12.52 cnf(matrix-323, plain, ( ( hAPP(V_h, V_a) != hAPP(c_Option_Ooption_OSome(tc_prod(tc_List_Olist(tc_String_Ochar), tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar), tc_List_Olist(tc_String_Ochar)), tc_Option_Ooption(tc_Value_Oval)))), hAPP(hAPP(c_Pair(tc_List_Olist(tc_String_Ochar), tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar), tc_List_Olist(tc_String_Ochar)), tc_Option_Ooption(tc_Value_Oval))), V_C), V_fs))) | ~c_Exceptions_Opreallocated(V_h) | c_Exceptions_Opreallocated(c_Fun_Ofun__upd(V_h, V_a, hAPP(c_Option_Ooption_OSome(tc_prod(tc_List_Olist(tc_String_Ochar), tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar), tc_List_Olist(tc_String_Ochar)), tc_Option_Ooption(tc_Value_Oval)))), hAPP(hAPP(c_Pair(tc_List_Olist(tc_String_Ochar), tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar), tc_List_Olist(tc_String_Ochar)), tc_Option_Ooption(tc_Value_Oval))), V_C), V_fs_H)), tc_nat, tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar), tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar), tc_List_Olist(tc_String_Ochar)), tc_Option_Ooption(tc_Value_Oval)))))) )).
% 12.31/12.52 cnf(matrix-324, plain, ( ( hAPP(V_h, V_a) != hAPP(c_Option_Ooption_OSome(tc_prod(tc_List_Olist(tc_String_Ochar), tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar), tc_List_Olist(tc_String_Ochar)), tc_Option_Ooption(tc_Value_Oval)))), hAPP(hAPP(c_Pair(tc_List_Olist(tc_String_Ochar), tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar), tc_List_Olist(tc_String_Ochar)), tc_Option_Ooption(tc_Value_Oval))), V_C), V_xa))) | ~c_Objects_Ohext(V_h, V_h_H) | ( hAPP(V_h_H, V_a) = hAPP(c_Option_Ooption_OSome(tc_prod(tc_List_Olist(tc_String_Ochar), tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar), tc_List_Olist(tc_String_Ochar)), tc_Option_Ooption(tc_Value_Oval)))), hAPP(hAPP(c_Pair(tc_List_Olist(tc_String_Ochar), tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar), tc_List_Olist(tc_String_Ochar)), tc_Option_Ooption(tc_Value_Oval))), V_C), c_Objects_Osko__Objects__Xhext__def__1__1(V_C, V_a, V_h_H)))) )).
% 12.31/12.52 cnf(matrix-325, plain, ( ( hAPP(V_h, V_a) != hAPP(c_Option_Ooption_OSome(tc_prod(tc_List_Olist(tc_String_Ochar), tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar), tc_List_Olist(tc_String_Ochar)), tc_Option_Ooption(tc_Value_Oval)))), hAPP(hAPP(c_Pair(tc_List_Olist(tc_String_Ochar), tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar), tc_List_Olist(tc_String_Ochar)), tc_Option_Ooption(tc_Value_Oval))), V_C), V_fs))) | ~c_Objects_Ohext(V_h, V_h_H) | ( hAPP(V_h_H, V_a) = hAPP(c_Option_Ooption_OSome(tc_prod(tc_List_Olist(tc_String_Ochar), tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar), tc_List_Olist(tc_String_Ochar)), tc_Option_Ooption(tc_Value_Oval)))), hAPP(hAPP(c_Pair(tc_List_Olist(tc_String_Ochar), tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar), tc_List_Olist(tc_String_Ochar)), tc_Option_Ooption(tc_Value_Oval))), V_C), c_Objects_Osko__Objects__Xhext__objD__1__1(V_C, V_a, V_h_H)))) )).
% 12.31/12.52 cnf(matrix-326, plain, ( ( c_Map_Omap__comp(V_m1, V_m2, V_k, T_b, T_a, T_c) != c_Option_Ooption_ONone(T_a)) | ( hAPP(V_m2, V_k) = hAPP(c_Option_Ooption_OSome(T_b), c_Map_Osko__Map__Xmap__comp__None__iff__1__1(V_k, V_m1, V_m2, T_c, T_b, T_a))) | ( hAPP(V_m2, V_k) = c_Option_Ooption_ONone(T_b)) )).
% 12.31/12.52 cnf(matrix-327, plain, ( ( c_Objects_Otypeof__h(V_h, V_v) != hAPP(c_Option_Ooption_OSome(tc_Type_Oty), V_T)) | c_Progress_OWTrt_H(V_P, V_h, V_E, c_Expr_Oexp_OVal(V_v, tc_List_Olist(tc_String_Ochar)), V_T) )).
% 12.31/12.52 cnf(matrix-328, plain, ( ( hAPP(c_Fun_Ofun__upd(c_COMBK(c_Option_Ooption_ONone(T_b), tc_Option_Ooption(T_b), t_a), V_x, c_Option_Ooption_ONone(T_b), t_a, tc_Option_Ooption(T_b)), v_xa) = c_Option_Ooption_ONone(T_b)) )).
% 12.31/12.52 cnf(matrix-329, plain, ( ( hAPP(c_Map_Omap__of(V_xs, T_b, T_a), V_k) != hAPP(c_Option_Ooption_OSome(T_a), V_z)) | ( hAPP(c_Map_Omap__of(c_List_Ofilter(hAPP(c_split(T_b, T_a, tc_bool), V_P), V_xs, tc_prod(T_b, T_a)), T_b, T_a), V_k) = hAPP(c_Option_Ooption_OSome(T_a), V_z)) | ~hBOOL(hAPP(hAPP(V_P, V_k), V_z)) )).
% 12.31/12.52 cnf(matrix-330, plain, ( hBOOL(hAPP(V_P, c_Option_Ooption_Ooption__case(V_f1, V_f2, V_x, t_a, t_b))) | ( V_x = hAPP(c_Option_Ooption_OSome(t_b), v_sko__Option__Xoption__Xsplit__1(V_P, V_f2, V_x))) | ( V_x = c_Option_Ooption_ONone(t_b)) )).
% 12.31/12.52 cnf(matrix-331, plain, ( ( c_Option_Ooption_Ooption__case(V_f1, V_f2, V_x, T_b, T_a) = c_Option_Ooption_Ooption__case(V_g1, V_g2, V_x, T_b, T_a)) | ( V_x = hAPP(c_Option_Ooption_OSome(T_a), c_ATP__Linkup_Osko__Option__Xoption__Xcase__cong__1__1(V_x, V_f2, V_g2, T_a, T_b))) | ( V_x = c_Option_Ooption_ONone(T_a)) )).
% 12.31/12.52 cnf(matrix-332, plain, ( hBOOL(hAPP(V_P, c_Option_Ooption_Ooption__case(V_f1, V_f2, V_x, t_a, t_b))) | ( V_x = hAPP(c_Option_Ooption_OSome(t_b), v_sko__Option__Xoption__Xsplit__asm__1(V_P, V_f2, V_x))) | ( V_x = c_Option_Ooption_ONone(t_b)) )).
% 12.31/12.52 cnf(matrix-333, plain, ( ( c_List_Ozip(c_List_Olist_OCons(V_x, V_xs, T_a), c_List_Olist_OCons(V_y, V_ys, T_b), T_a, T_b) = c_List_Olist_OCons(hAPP(hAPP(c_Pair(T_a, T_b), V_x), V_y), c_List_Ozip(V_xs, V_ys, T_a, T_b), tc_prod(T_a, T_b))) )).
% 12.31/12.52 cnf(matrix-334, plain, ( ( hAPP(hAPP(c_split(T_b, T_c, T_a), c_Fun_Ocomp(V_f, V_g, T_d, tc_fun(T_c, T_a), T_b)), V_x) = hAPP(hAPP(V_f, hAPP(V_g, c_fst(V_x, T_b, T_c))), c_snd(V_x, T_b, T_c))) )).
% 12.31/12.52 cnf(matrix-335, plain, ( ( c_Map_Odom(c_Fun_Ofun__upd(V_f, V_x, V_y, T_a, tc_Option_Ooption(T_b)), T_a, T_b) = c_Set_Oinsert(V_x, c_Map_Odom(V_f, T_a, T_b), T_a)) | ( V_y = c_Option_Ooption_ONone(T_b)) )).
% 12.31/12.52 cnf(matrix-336, plain, ( ~class_OrderedGroup_Ocomm__monoid__mult(T_c) | ~c_Fun_Oinj__on(V_f, V_A, T_a, T_b) | ( c_Finite__Set_Osetprod(V_h, c_Set_Oimage(V_f, V_A, T_a, T_b), T_b, T_c) = c_Finite__Set_Osetprod(c_Fun_Ocomp(V_h, V_f, T_b, T_c, T_a), V_A, T_a, T_c)) )).
% 12.31/12.52 cnf(matrix-337, plain, ( ~class_OrderedGroup_Ocomm__monoid__mult(T_c) | ( c_Finite__Set_Osetprod(V_h, c_Set_Oimage(V_f, V_B, T_a, T_b), T_b, T_c) = c_Finite__Set_Osetprod(c_Fun_Ocomp(V_h, V_f, T_b, T_c, T_a), V_B, T_a, T_c)) | ~c_Fun_Oinj__on(V_f, V_B, T_a, T_b) )).
% 12.31/12.52 cnf(matrix-338, plain, ( ~class_OrderedGroup_Ocomm__monoid__add(T_c) | ( c_Finite__Set_Osetsum(V_h, c_Set_Oimage(V_f, V_B, T_a, T_b), T_b, T_c) = c_Finite__Set_Osetsum(c_Fun_Ocomp(V_h, V_f, T_b, T_c, T_a), V_B, T_a, T_c)) | ~c_Fun_Oinj__on(V_f, V_B, T_a, T_b) )).
% 12.31/12.52 cnf(matrix-339, plain, ( ( c_Fun_Ofun__upd(c_Map_Orestrict__map(V_m, V_D, T_a, T_b), V_x, c_Option_Ooption_ONone(T_b), T_a, tc_Option_Ooption(T_b)) = c_Map_Orestrict__map(V_m, V_D, T_a, T_b)) | hBOOL(c_in(V_x, V_D, T_a)) )).
% 12.31/12.52 cnf(matrix-340, plain, ( ( c_Set_Oimage(c_COMBK(V_c, T_a, T_b), V_A, T_b, T_a) = c_Set_Oinsert(V_c, c_Orderings_Obot__class_Obot(tc_fun(T_a, tc_bool)), T_a)) | ( V_A = c_Orderings_Obot__class_Obot(tc_fun(T_b, tc_bool))) )).
% 12.31/12.52 cnf(matrix-341, plain, ( c_Fun_Oinj__on(V_g, c_Set_Oimage(V_f, V_A, T_a, T_a), T_a, T_b) | ~c_Fun_Oinj__on(V_g, V_A, T_a, T_b) | ~c_Fun_Oinj__on(V_f, V_A, T_a, T_a) | hBOOL(c_in(c_ATP__Linkup_Osko__Fun__Xinj__on__image__iff__1__1(V_A, V_f, V_g, T_a, T_b), V_A, T_a)) )).
% 12.31/12.52 cnf(matrix-342, plain, ( c_Fun_Oinj__on(V_g, V_A, T_a, T_b) | ~c_Fun_Oinj__on(V_g, c_Set_Oimage(V_f, V_A, T_a, T_a), T_a, T_b) | ~c_Fun_Oinj__on(V_f, V_A, T_a, T_a) | hBOOL(c_in(c_ATP__Linkup_Osko__Fun__Xinj__on__image__iff__1__1(V_A, V_f, V_g, T_a, T_b), V_A, T_a)) )).
% 12.31/12.52 cnf(matrix-343, plain, ( c_Fun_Oinj__on(V_g, c_Set_Oimage(V_f, V_A, T_a, T_a), T_a, T_b) | ~c_Fun_Oinj__on(V_g, V_A, T_a, T_b) | ~c_Fun_Oinj__on(V_f, V_A, T_a, T_a) | hBOOL(c_in(c_ATP__Linkup_Osko__Fun__Xinj__on__image__iff__1__2(V_A, V_f, V_g, T_a, T_b), V_A, T_a)) )).
% 12.31/12.52 cnf(matrix-344, plain, ( c_Fun_Oinj__on(V_g, V_A, T_a, T_b) | ~c_Fun_Oinj__on(V_g, c_Set_Oimage(V_f, V_A, T_a, T_a), T_a, T_b) | ~c_Fun_Oinj__on(V_f, V_A, T_a, T_a) | hBOOL(c_in(c_ATP__Linkup_Osko__Fun__Xinj__on__image__iff__1__2(V_A, V_f, V_g, T_a, T_b), V_A, T_a)) )).
% 12.31/12.52 cnf(matrix-345, plain, ( ( hAPP(V_f, hAPP(c_Fun_Othe__inv__into(V_A, V_f, T_a, T_b), V_y)) = V_y) | ~hBOOL(c_in(V_y, c_Set_Oimage(V_f, V_A, T_a, T_b), T_b)) | ~c_Fun_Oinj__on(V_f, V_A, T_a, T_b) )).
% 12.31/12.52 cnf(matrix-346, plain, ( hBOOL(c_in(hAPP(V_f, V_a), c_Set_Oimage(V_f, V_A, T_a, T_b), T_b)) | ~hBOOL(c_in(V_a, V_A, T_a)) | ~c_Fun_Oinj__on(V_f, c_Orderings_Otop__class_Otop(tc_fun(T_a, tc_bool)), T_a, T_b) )).
% 12.31/12.52 cnf(matrix-347, plain, ( hBOOL(c_in(V_a, V_A, T_a)) | ~hBOOL(c_in(hAPP(V_f, V_a), c_Set_Oimage(V_f, V_A, T_a, T_b), T_b)) | ~c_Fun_Oinj__on(V_f, c_Orderings_Otop__class_Otop(tc_fun(T_a, tc_bool)), T_a, T_b) )).
% 12.31/12.52 cnf(matrix-348, plain, ( ( c_Option_Ois__none(v_x, t_a) = c_fequal(v_x, c_Option_Ooption_ONone(t_a), tc_Option_Ooption(t_a))) )).
% 12.31/12.52 cnf(matrix-349, plain, ( c_Fun_Oinj__on(c_Map_Omap__add(V_m, V_m_H, T_a, T_b), c_Map_Odom(V_m_H, T_a, T_b), T_a, tc_Option_Ooption(T_b)) | ~c_Fun_Oinj__on(V_m_H, c_Map_Odom(V_m_H, T_a, T_b), T_a, tc_Option_Ooption(T_b)) )).
% 12.31/12.52 cnf(matrix-350, plain, ( c_Fun_Oinj__on(V_m_H, c_Map_Odom(V_m_H, T_a, T_b), T_a, tc_Option_Ooption(T_b)) | ~c_Fun_Oinj__on(c_Map_Omap__add(V_m, V_m_H, T_a, T_b), c_Map_Odom(V_m_H, T_a, T_b), T_a, tc_Option_Ooption(T_b)) )).
% 12.31/12.52 cnf(matrix-351, plain, ( ( c_Map_Odom(c_Fun_Ofun__upd(c_COMBK(c_Option_Ooption_ONone(T_b), tc_Option_Ooption(T_b), T_a), V_x, hAPP(c_Option_Ooption_OSome(T_b), V_xa), T_a, tc_Option_Ooption(T_b)), T_a, T_b) = c_Set_Oinsert(V_x, c_Orderings_Obot__class_Obot(tc_fun(T_a, tc_bool)), T_a)) )).
% 12.31/12.52 cnf(matrix-352, plain, ( ( c_Product__Type_Oapsnd(T_a, T_b, T_c) = c_Product__Type_Oprod__fun(c_Fun_Oid(T_c), T_c, T_c, T_a, T_b)) )).
% 12.31/12.52 cnf(matrix-353, plain, ( ( hAPP(c_Product__Type_Oapsnd(T_b, T_c, T_a), V_f) = hAPP(c_Product__Type_Oprod__fun(c_Fun_Oid(T_a), T_a, T_a, T_b, T_c), V_f)) )).
% 12.31/12.52 cnf(matrix-354, plain, ( c_TypeRel_OFields(V_P, V_C, c_TypeRel_Osko__TypeRel__Xhas__field__def__1__1(V_C, V_D, V_F, V_P, V_T, T_a), T_a) | ~c_TypeRel_Ohas__field(V_P, V_C, V_F, V_T, V_D, T_a) )).
% 12.31/12.52 cnf(matrix-355, plain, ( ( c_Product__Type_Oapfst(V_f, T_a, T_c, T_b) = hAPP(c_Product__Type_Oprod__fun(V_f, T_a, T_c, T_b, T_b), c_Fun_Oid(T_b))) )).
% 12.31/12.52 cnf(matrix-356, plain, ( c_Objects_Ohext(V_h, V_h_H_H) | ~c_Objects_Ohext(V_h_H, V_h_H_H) | ~c_Objects_Ohext(V_h, V_h_H) )).
% 12.31/12.52 cnf(matrix-357, plain, ( ( c_Objects_Otypeof__h(V_h, V_v) != hAPP(c_Option_Ooption_OSome(tc_Type_Oty), V_T)) | ~c_Objects_Ohext(V_h, V_h_H) | ( c_Objects_Otypeof__h(V_h_H, V_v) = hAPP(c_Option_Ooption_OSome(tc_Type_Oty), V_T)) )).
% 12.31/12.52 cnf(matrix-358, plain, ( c_WellTypeRT_OWTrt(V_P, V_h_H, V_E, V_e, V_T) | ~c_Objects_Ohext(V_h, V_h_H) | ~c_WellTypeRT_OWTrt(V_P, V_h, V_E, V_e, V_T) )).
% 12.31/12.52 cnf(matrix-359, plain, ( ( hAPP(c_Map_Omap__add(V_m, V_n, T_b, T_a), V_k) != c_Option_Ooption_ONone(T_a)) | ( hAPP(V_n, V_k) = c_Option_Ooption_ONone(T_a)) )).
% 12.31/12.52 cnf(matrix-360, plain, ( ( hAPP(c_Map_Omap__add(V_m, V_n, T_b, T_a), V_k) != c_Option_Ooption_ONone(T_a)) | ( hAPP(V_m, V_k) = c_Option_Ooption_ONone(T_a)) )).
% 12.31/12.52 cnf(matrix-361, plain, ( ( hAPP(V_m, V_k) != hAPP(c_Option_Ooption_OSome(T_a), V_x)) | ( hAPP(V_n, V_k) != c_Option_Ooption_ONone(T_a)) | ( hAPP(c_Map_Omap__add(V_m, V_n, T_b, T_a), V_k) = hAPP(c_Option_Ooption_OSome(T_a), V_x)) )).
% 12.31/12.52 cnf(matrix-362, plain, ( ( c_Fun_Oswap(V_a, V_b, c_Fun_Oswap(V_b, V_c, c_Fun_Oswap(V_a, V_b, V_f, T_a, T_b), T_a, T_b), T_a, T_b) = c_Fun_Oswap(V_a, V_c, V_f, T_a, T_b)) | ( V_b = V_c) | ( V_a = V_c) )).
% 12.31/12.52 cnf(matrix-363, 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)) )).
% 12.31/12.52 cnf(matrix-364, 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) )).
% 12.31/12.52 cnf(matrix-365, 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) )).
% 12.31/12.52 cnf(matrix-366, 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) )).
% 12.31/12.52 cnf(matrix-367, plain, ( ( c_Option_Ooption_Ooption__rec(V_f1, V_f2, c_Option_Ooption_ONone(T_b), T_a, T_b) = V_f1) )).
% 12.31/12.52 cnf(matrix-368, plain, ( ( c_Map_Omap__add(c_COMBK(c_Option_Ooption_ONone(T_b), tc_Option_Ooption(T_b), T_a), V_m, T_a, T_b) = V_m) )).
% 12.31/12.52 cnf(matrix-369, plain, ( ( c_Map_Omap__add(V_m, c_COMBK(c_Option_Ooption_ONone(T_b), tc_Option_Ooption(T_b), T_a), T_a, T_b) = V_m) )).
% 12.31/12.52 cnf(matrix-370, plain, ( ~hBOOL(hAPP(V_P, c_Option_Ooption_Ooption__case(V_f1, V_f2, c_Option_Ooption_ONone(t_b), t_a, t_b))) | hBOOL(hAPP(V_P, V_f1)) )).
% 12.31/12.52 cnf(matrix-371, plain, ( ( hAPP(c_COMBK(V_P, T_a, T_b), V_Q) = V_P) )).
% 12.31/12.52 cnf(matrix-372, plain, ( ( hAPP(c_COMBI(T_a), V_P) = V_P) )).
% 12.31/12.52 cnf(matrix-373, plain, ( ( hAPP(hAPP(c_Product__Type_Oapsnd(T_c, T_b, T_a), V_f), hAPP(c_Product__Type_Oapfst(V_g, T_d, T_a, T_c), V_x)) = hAPP(hAPP(c_Pair(T_a, T_b), hAPP(V_g, c_fst(V_x, T_d, T_c))), hAPP(V_f, c_snd(V_x, T_d, T_c)))) )).
% 12.31/12.52 cnf(matrix-374, plain, ( ( hAPP(V_h, V_a) != hAPP(c_Option_Ooption_OSome(tc_prod(tc_List_Olist(tc_String_Ochar), tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar), tc_List_Olist(tc_String_Ochar)), tc_Option_Ooption(tc_Value_Oval)))), hAPP(hAPP(c_Pair(tc_List_Olist(tc_String_Ochar), tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar), tc_List_Olist(tc_String_Ochar)), tc_Option_Ooption(tc_Value_Oval))), V_C), V_fs))) | c_Conform_Oconf(V_P, V_h, V_x, V_T, T_a) | ~c_Conform_Oconf(V_P, c_Fun_Ofun__upd(V_h, V_a, hAPP(c_Option_Ooption_OSome(tc_prod(tc_List_Olist(tc_String_Ochar), tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar), tc_List_Olist(tc_String_Ochar)), tc_Option_Ooption(tc_Value_Oval)))), hAPP(hAPP(c_Pair(tc_List_Olist(tc_String_Ochar), tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar), tc_List_Olist(tc_String_Ochar)), tc_Option_Ooption(tc_Value_Oval))), V_C), V_fs_H)), tc_nat, tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar), tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar), tc_List_Olist(tc_String_Ochar)), tc_Option_Ooption(tc_Value_Oval))))), V_x, V_T, T_a) )).
% 12.31/12.52 cnf(matrix-375, plain, ( ( hAPP(V_h, V_a) != hAPP(c_Option_Ooption_OSome(tc_prod(tc_List_Olist(tc_String_Ochar), tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar), tc_List_Olist(tc_String_Ochar)), tc_Option_Ooption(tc_Value_Oval)))), hAPP(hAPP(c_Pair(tc_List_Olist(tc_String_Ochar), tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar), tc_List_Olist(tc_String_Ochar)), tc_Option_Ooption(tc_Value_Oval))), V_C), V_fs))) | c_Conform_Oconf(V_P, c_Fun_Ofun__upd(V_h, V_a, hAPP(c_Option_Ooption_OSome(tc_prod(tc_List_Olist(tc_String_Ochar), tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar), tc_List_Olist(tc_String_Ochar)), tc_Option_Ooption(tc_Value_Oval)))), hAPP(hAPP(c_Pair(tc_List_Olist(tc_String_Ochar), tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar), tc_List_Olist(tc_String_Ochar)), tc_Option_Ooption(tc_Value_Oval))), V_C), V_fs_H)), tc_nat, tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar), tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar), tc_List_Olist(tc_String_Ochar)), tc_Option_Ooption(tc_Value_Oval))))), V_x, V_T, T_a) | ~c_Conform_Oconf(V_P, V_h, V_x, V_T, T_a) )).
% 12.31/12.52 cnf(matrix-376, plain, ( ( hAPP(hAPP(c_Pair(T_a, T_b), c_fst(V_p, T_a, T_b)), c_snd(V_p, T_a, T_b)) = V_p) )).
% 12.31/12.52 cnf(matrix-377, plain, ( ( V_t = hAPP(hAPP(c_Pair(T_a, T_b), c_fst(V_t, T_a, T_b)), c_snd(V_t, T_a, T_b))) )).
% 12.31/12.52 cnf(matrix-378, plain, ( ( c_snd(hAPP(c_Product__Type_Oapfst(V_f, T_c, T_b, T_a), V_x), T_b, T_a) = c_snd(V_x, T_c, T_a)) )).
% 12.31/12.52 cnf(matrix-379, plain, ( hBOOL(hAPP(V_S, V_x)) | ~hBOOL(c_in(V_x, V_S, T_a)) )).
% 12.31/12.52 cnf(matrix-380, plain, ( hBOOL(c_in(V_x, V_S, T_a)) | ~hBOOL(hAPP(V_S, V_x)) )).
% 12.31/12.52 cnf(matrix-381, plain, ( ( c_Set_Oinsert(V_x, c_Set_Oinsert(V_y, V_A, T_a), T_a) = c_Set_Oinsert(V_y, c_Set_Oinsert(V_x, V_A, T_a), T_a)) )).
% 12.31/12.52 cnf(matrix-382, plain, ( hBOOL(c_in(V_x, c_Set_Oinsert(V_x, V_B, T_a), T_a)) )).
% 12.31/12.52 cnf(matrix-383, plain, ( hBOOL(c_in(V_a, c_Set_Oinsert(V_a, V_B, T_a), T_a)) )).
% 12.31/12.52 cnf(matrix-384, plain, ( hBOOL(c_in(V_x, c_Set_Oinsert(V_x, V_A, T_a), T_a)) )).
% 12.31/12.52 cnf(matrix-385, plain, ( ( c_Expr_Oexp_OFAss(V_exp1_H, V_list1_H, V_list2_H, V_exp2_H, T_a) != c_Expr_Oexp_OVal(V_val, T_a)) )).
% 12.31/12.52 cnf(matrix-386, plain, ( ( c_Fun_Oswap(V_a, V_b, V_f, T_a, T_b) = c_Fun_Oswap(V_b, V_a, V_f, T_a, T_b)) )).
% 12.31/12.52 cnf(matrix-387, plain, ( ( c_Fun_Oswap(V_a, V_b, c_Fun_Oswap(V_a, V_b, V_f, T_a, T_b), T_a, T_b) = V_f) )).
% 12.31/12.52 cnf(matrix-388, plain, ( ( c_Product__Type_Oprod_Oprod__case(T_a, T_b, T_c) = c_split(T_a, T_b, T_c)) )).
% 12.31/12.52 cnf(matrix-389, plain, ( c_Fun_Oinj__on(V_g, c_Set_Oimage(V_f, V_A, T_a, T_c), T_c, T_b) | ~c_Fun_Oinj__on(c_Fun_Ocomp(V_g, V_f, T_c, T_b, T_a), V_A, T_a, T_b) )).
% 12.31/12.52 cnf(matrix-390, plain, ( c_Map_Omap__le(c_Map_Omap__upds(V_f, V_as, V_bs, T_a, T_b), c_Map_Omap__upds(V_g, V_as, V_bs, T_a, T_b), T_a, T_b) | ~c_Map_Omap__le(V_f, V_g, T_a, T_b) )).
% 12.31/12.52 cnf(matrix-391, plain, ( c_Fun_Oinj__on(V_f, V_A, T_a, T_b) | ~c_Fun_Oinj__on(V_f, c_Set_Oinsert(V_a, V_A, T_a), T_a, T_b) )).
% 12.31/12.52 cnf(matrix-392, plain, ( ( c_Set_Oimage(c_COMBI(T_a), V_Y, T_a, T_a) = V_Y) )).
% 12.31/12.52 cnf(matrix-393, plain, ( ( c_snd(V_p, T_a, T_b) != c_snd(V_q, T_a, T_b)) | ( c_fst(V_p, T_a, T_b) != c_fst(V_q, T_a, T_b)) | ( V_p = V_q) )).
% 12.31/12.52 cnf(matrix-394, plain, ( ( c_snd(V_s, T_a, T_b) != c_snd(V_t, T_a, T_b)) | ( c_fst(V_s, T_a, T_b) != c_fst(V_t, T_a, T_b)) | ( V_s = V_t) )).
% 12.31/12.52 cnf(matrix-395, plain, ( ( hAPP(c_Fun_Ooverride__on(V_f, V_g, V_A, T_a, T_b), V_a) = hAPP(V_f, V_a)) | hBOOL(c_in(V_a, V_A, T_a)) )).
% 12.31/12.52 cnf(matrix-396, plain, ( ( c_Product__Type_Ointernal__split(T_a, T_b, T_c) = c_split(T_a, T_b, T_c)) )).
% 12.31/12.52 cnf(matrix-397, plain, ( c_Fun_Oinj__on(c_COMBI(T_a), V_A, T_a, T_a) )).
% 12.31/12.52 cnf(matrix-398, plain, ( c_Map_Omap__le(V_g, V_h, T_a, T_b) | ~c_Map_Omap__le(c_Map_Omap__add(V_f, V_g, T_a, T_b), V_h, T_a, T_b) )).
% 12.31/12.52 cnf(matrix-399, plain, ( ( c_Set_Oinsert(V_x, c_Set_Oinsert(V_x, V_A, T_a), T_a) = c_Set_Oinsert(V_x, V_A, T_a)) )).
% 12.31/12.52 cnf(matrix-400, plain, ( ( c_Fun_Oswap(V_a, V_a, V_f, T_a, T_b) = V_f) )).
% 12.31/12.52 cnf(matrix-401, plain, ( c_Map_Omap__le(V_f, V_f, T_a, T_b) )).
% 12.31/12.52 cnf(matrix-402, plain, ( c_Map_Omap__le(V_m1, V_m3, T_a, T_b) | ~c_Map_Omap__le(V_m2, V_m3, T_a, T_b) | ~c_Map_Omap__le(V_m1, V_m2, T_a, T_b) )).
% 12.31/12.52 cnf(matrix-403, plain, ( hBOOL(hAPP(V_A, V_x)) | ( V_y = V_x) | ~hBOOL(hAPP(c_Set_Oinsert(V_y, V_A, T_a), V_x)) )).
% 12.31/12.52 cnf(matrix-404, plain, ( ( c_Objects_Otypeof__h(V_h, V_v) != hAPP(c_Option_Ooption_OSome(tc_Type_Oty), V_T)) | c_Conform_Oconf(V_P, V_h, V_v, V_T, T_a) )).
% 12.31/12.52 cnf(matrix-405, plain, ( ( hAPP(hAPP(c_Product__Type_Oapsnd(T_c, T_b, T_a), V_f), V_x) != hAPP(hAPP(c_Product__Type_Oapsnd(T_c, T_b, T_a), V_g), V_x)) | ( hAPP(V_f, c_snd(V_x, T_a, T_c)) = hAPP(V_g, c_snd(V_x, T_a, T_c))) )).
% 12.31/12.52 cnf(matrix-406, plain, ( ( hAPP(V_f, c_snd(V_x, T_a, T_c)) != hAPP(V_g, c_snd(V_x, T_a, T_c))) | ( hAPP(hAPP(c_Product__Type_Oapsnd(T_c, T_b, T_a), V_f), V_x) = hAPP(hAPP(c_Product__Type_Oapsnd(T_c, T_b, T_a), V_g), V_x)) )).
% 12.31/12.52 cnf(matrix-407, plain, ( ( c_Expr_Oexp_OFAss(V_exp1, V_list1, V_list2, V_exp2, T_a) != c_Expr_Oexp_OFAss(V_exp1_H, V_list1_H, V_list2_H, V_exp2_H, T_a)) | ( V_exp2 = V_exp2_H) )).
% 12.31/12.52 cnf(matrix-408, plain, ( ( c_Expr_Oexp_OFAss(V_exp1, V_list1, V_list2, V_exp2, T_a) != c_Expr_Oexp_OFAss(V_exp1_H, V_list1_H, V_list2_H, V_exp2_H, T_a)) | ( V_list2 = V_list2_H) )).
% 12.31/12.52 cnf(matrix-409, plain, ( ( c_Expr_Oexp_OFAss(V_exp1, V_list1, V_list2, V_exp2, T_a) != c_Expr_Oexp_OFAss(V_exp1_H, V_list1_H, V_list2_H, V_exp2_H, T_a)) | ( V_list1 = V_list1_H) )).
% 12.31/12.52 cnf(matrix-410, plain, ( ( c_Expr_Oexp_OFAss(V_exp1, V_list1, V_list2, V_exp2, T_a) != c_Expr_Oexp_OFAss(V_exp1_H, V_list1_H, V_list2_H, V_exp2_H, T_a)) | ( V_exp1 = V_exp1_H) )).
% 12.31/12.52 cnf(matrix-411, plain, ( ( c_Objects_Otypeof__h(V_h, V_v) != hAPP(c_Option_Ooption_OSome(tc_Type_Oty), V_T)) | c_WellTypeRT_OWTrt(V_P, V_h, V_E, c_Expr_Oexp_OVal(V_v, tc_List_Olist(tc_String_Ochar)), V_T) )).
% 12.31/12.52 cnf(matrix-412, plain, ( ( hAPP(c_Fun_Ocomp(V_f, V_g, T_b, T_a, T_c), V_x) = hAPP(V_f, hAPP(V_g, V_x))) )).
% 12.31/12.52 cnf(matrix-413, plain, ( ( hAPP(V_a, hAPP(V_b, V_v)) = hAPP(c_Fun_Ocomp(V_a, V_b, T_c, T_b, T_a), V_v)) )).
% 12.31/12.52 cnf(matrix-414, plain, ( ( hAPP(c_Fun_Ooverride__on(V_f, V_g, V_A, T_a, T_b), V_a) = hAPP(V_g, V_a)) | ~hBOOL(c_in(V_a, V_A, T_a)) )).
% 12.31/12.52 cnf(matrix-415, plain, ( ( c_fst(hAPP(hAPP(c_Product__Type_Oapsnd(T_c, T_b, T_a), V_f), V_x), T_a, T_b) = c_fst(V_x, T_a, T_c)) )).
% 12.31/12.52 cnf(matrix-416, plain, ( ( c_Map_Omap__add(V_m1, c_Map_Omap__add(V_m2, V_m3, T_a, T_b), T_a, T_b) = c_Map_Omap__add(c_Map_Omap__add(V_m1, V_m2, T_a, T_b), V_m3, T_a, T_b)) )).
% 12.31/12.52 cnf(matrix-417, plain, ( ( c_Map_Omap__add(V_m1, c_Map_Omap__upds(V_m2, V_xs, V_ys, T_a, T_b), T_a, T_b) = c_Map_Omap__upds(c_Map_Omap__add(V_m1, V_m2, T_a, T_b), V_xs, V_ys, T_a, T_b)) )).
% 12.31/12.52 cnf(matrix-418, plain, ( ( hAPP(c_Map_Omap__of(c_List_Olist_OCons(hAPP(hAPP(c_Pair(T_b, T_a), V_l), V_v), V_ps, tc_prod(T_b, T_a)), T_b, T_a), V_k) = hAPP(c_Map_Omap__of(V_ps, T_b, T_a), V_k)) | ( V_l = V_k) )).
% 12.31/12.52 cnf(matrix-419, plain, ( ( hAPP(V_h, V_a) != hAPP(c_Option_Ooption_OSome(tc_prod(tc_List_Olist(tc_String_Ochar), tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar), tc_List_Olist(tc_String_Ochar)), tc_Option_Ooption(tc_Value_Oval)))), hAPP(hAPP(c_Pair(tc_List_Olist(tc_String_Ochar), tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar), tc_List_Olist(tc_String_Ochar)), tc_Option_Ooption(tc_Value_Oval))), V_C), V_fs))) | c_Objects_Ohext(V_h, c_Fun_Ofun__upd(V_h, V_a, hAPP(c_Option_Ooption_OSome(tc_prod(tc_List_Olist(tc_String_Ochar), tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar), tc_List_Olist(tc_String_Ochar)), tc_Option_Ooption(tc_Value_Oval)))), hAPP(hAPP(c_Pair(tc_List_Olist(tc_String_Ochar), tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar), tc_List_Olist(tc_String_Ochar)), tc_Option_Ooption(tc_Value_Oval))), V_C), V_fs_H)), tc_nat, tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar), tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar), tc_List_Olist(tc_String_Ochar)), tc_Option_Ooption(tc_Value_Oval)))))) )).
% 12.31/12.52 cnf(matrix-420, plain, ( ( hAPP(c_Option_Omap(V_f, T_b, T_a), V_opt) != c_Option_Ooption_ONone(T_a)) | ( V_opt = c_Option_Ooption_ONone(T_b)) )).
% 12.31/12.52 cnf(matrix-421, plain, ( ( hAPP(hAPP(c_Product__Type_Oprod_Oprod__case(T_b, T_c, T_a), V_f), V_p) = hAPP(hAPP(V_f, c_fst(V_p, T_b, T_c)), c_snd(V_p, T_b, T_c))) )).
% 12.31/12.52 cnf(matrix-422, plain, ( ( c_Map_Omap__add(V_f, V_g, T_a, T_b) = c_Map_Omap__add(V_g, V_f, T_a, T_b)) | ~c_Map_Omap__le(V_f, c_Map_Omap__add(V_f, V_g, T_a, T_b), T_a, T_b) )).
% 12.31/12.52 cnf(matrix-423, plain, ( ( c_Map_Omap__add(V_f, V_g, T_a, T_b) != c_Map_Omap__add(V_g, V_f, T_a, T_b)) | c_Map_Omap__le(V_f, c_Map_Omap__add(V_f, V_g, T_a, T_b), T_a, T_b) )).
% 12.31/12.52 cnf(matrix-424, plain, ( ( hAPP(c_Option_Omap(V_f, T_b, T_a), hAPP(c_Option_Omap(V_g, T_c, T_b), V_opt)) = hAPP(c_Option_Omap(c_Fun_Ocomp(V_f, V_g, T_b, T_a, T_c), T_c, T_a), V_opt)) )).
% 12.31/12.52 cnf(matrix-425, 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)) )).
% 12.31/12.52 cnf(matrix-426, plain, ( c_Map_Omap__le(c_Fun_Ofun__upd(V_f, V_x, c_Option_Ooption_ONone(T_b), T_a, tc_Option_Ooption(T_b)), V_f, T_a, T_b) )).
% 12.31/12.52 cnf(matrix-427, plain, ( ( V_f = V_g) | ~c_Map_Omap__le(V_g, V_f, T_a, T_b) | ~c_Map_Omap__le(V_f, V_g, T_a, T_b) )).
% 12.31/12.52 cnf(matrix-428, plain, ( ( V_FDTs_H = V_FDTs) | ~c_TypeRel_OFields(V_P, V_C, V_FDTs_H, T_a) | ~c_TypeRel_OFields(V_P, V_C, V_FDTs, T_a) )).
% 12.31/12.52 cnf(matrix-429, plain, ( ( hAPP(hAPP(c_split(T_b, T_c, T_a), V_P), V_z) = hAPP(hAPP(V_P, c_fst(V_z, T_b, T_c)), c_snd(V_z, T_b, T_c))) )).
% 12.31/12.52 cnf(matrix-430, plain, ( ( c_Value_Oval_OAddr(V_nat) != c_Value_Oval_OAddr(V_nat_H)) | ( V_nat = V_nat_H) )).
% 12.31/12.52 cnf(matrix-431, plain, ( ( c_fst(hAPP(c_Product__Type_Oapfst(V_f, T_c, T_a, T_b), V_x), T_a, T_b) = hAPP(V_f, c_fst(V_x, T_c, T_b))) )).
% 12.31/12.52 cnf(matrix-432, plain, ( hBOOL(c_Option_Ois__none(c_Option_Ooption_ONone(T_a), T_a)) )).
% 12.31/12.52 cnf(matrix-433, plain, ( ( c_Option_Ooption_Ooption__case(V_f1, V_f2, c_Option_Ooption_ONone(T_b), T_a, T_b) = V_f1) )).
% 12.31/12.52 cnf(matrix-434, plain, ( ( hAPP(V_h, V_a) != hAPP(c_Option_Ooption_OSome(tc_prod(tc_List_Olist(tc_String_Ochar), tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar), tc_List_Olist(tc_String_Ochar)), tc_Option_Ooption(tc_Value_Oval)))), V_obj)) | ~c_Conform_Ohconf(V_P, V_h, T_a) | c_Conform_Ooconf(V_P, V_h, V_obj, T_a) )).
% 12.31/12.52 cnf(matrix-435, plain, ( ( hAPP(c_Product__Type_Oapfst(V_f, T_c, T_a, T_b), V_x) != hAPP(c_Product__Type_Oapfst(V_g, T_c, T_a, T_b), V_x)) | ( hAPP(V_f, c_fst(V_x, T_c, T_b)) = hAPP(V_g, c_fst(V_x, T_c, T_b))) )).
% 12.31/12.52 cnf(matrix-436, plain, ( ( hAPP(V_f, c_fst(V_x, T_c, T_b)) != hAPP(V_g, c_fst(V_x, T_c, T_b))) | ( hAPP(c_Product__Type_Oapfst(V_f, T_c, T_a, T_b), V_x) = hAPP(c_Product__Type_Oapfst(V_g, T_c, T_a, T_b), V_x)) )).
% 12.31/12.52 cnf(matrix-437, plain, ( c_Map_Omap__le(c_COMBK(c_Option_Ooption_ONone(T_b), tc_Option_Ooption(T_b), T_a), V_g, T_a, T_b) )).
% 12.31/12.52 cnf(matrix-438, plain, ( ( c_Set_Oimage(V_f, c_Set_Oinsert(V_a, V_B, T_b), T_b, T_a) = c_Set_Oinsert(hAPP(V_f, V_a), c_Set_Oimage(V_f, V_B, T_b, T_a), T_a)) )).
% 12.31/12.52 cnf(matrix-439, plain, ( ( hAPP(c_Map_Omap__add(V_m, V_n, T_b, T_a), V_k) != hAPP(c_Option_Ooption_OSome(T_a), V_x)) | ( hAPP(V_n, V_k) = c_Option_Ooption_ONone(T_a)) | ( hAPP(V_n, V_k) = hAPP(c_Option_Ooption_OSome(T_a), V_x)) )).
% 12.31/12.52 cnf(matrix-440, plain, ( c_Fun_Oinj__on(c_Fun_Ofun__upd(V_f, V_x, V_y, T_a, T_b), V_A, T_a, T_b) | hBOOL(c_in(V_y, c_Set_Oimage(V_f, V_A, T_a, T_b), T_b)) | ~c_Fun_Oinj__on(V_f, V_A, T_a, T_b) )).
% 12.31/12.52 cnf(matrix-441, plain, ( ( c_Set_Oimage(c_Fun_Ofun__upd(V_f, V_x, V_y, T_b, T_a), V_A, T_b, T_a) = c_Set_Oimage(V_f, V_A, T_b, T_a)) | hBOOL(c_in(V_x, V_A, T_b)) )).
% 12.31/12.52 cnf(matrix-442, plain, ( ( c_Fun_Ocomp(V_f, c_Fun_Ocomp(V_g, V_h, T_d, T_c, T_a), T_c, T_b, T_a) = c_Fun_Ocomp(c_Fun_Ocomp(V_f, V_g, T_c, T_b, T_d), V_h, T_d, T_b, T_a)) )).
% 12.31/12.52 cnf(matrix-443, plain, ( hBOOL(hAPP(c_Set_Oinsert(V_x, V_A, T_a), V_x)) )).
% 12.31/12.52 cnf(matrix-444, plain, ( ( c_Set_Oimage(c_Fun_Ocomp(V_f, V_g, T_c, T_a, T_b), V_r, T_b, T_a) = c_Set_Oimage(V_f, c_Set_Oimage(V_g, V_r, T_b, T_c), T_c, T_a)) )).
% 12.31/12.52 cnf(matrix-445, plain, ( ( hAPP(V_m1, V_x) != c_Option_Ooption_ONone(T_a)) | ( hAPP(V_m2, V_k) != hAPP(c_Option_Ooption_OSome(T_b), V_x)) | ( c_Map_Omap__comp(V_m1, V_m2, V_k, T_b, T_a, T_c) = c_Option_Ooption_ONone(T_a)) )).
% 12.31/12.52 cnf(matrix-446, plain, ( ( c_List_Olist_OCons(V_a, V_list, T_a) != c_List_Olist_OCons(V_a_H, V_list_H, T_a)) | ( V_a = V_a_H) )).
% 12.31/12.52 cnf(matrix-447, plain, ( ( c_List_Olist_OCons(V_a, V_list, T_a) != c_List_Olist_OCons(V_a_H, V_list_H, T_a)) | ( V_list = V_list_H) )).
% 12.31/12.52 cnf(matrix-448, 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)) )).
% 12.31/12.52 cnf(matrix-449, 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)) )).
% 12.31/12.52 cnf(matrix-450, plain, ( ( c_Fun_Ocomp(V_a, V_b, T_c, T_b, T_a) != c_Fun_Ocomp(V_c, V_d, T_d, T_b, T_a)) | ( hAPP(V_a, hAPP(V_b, V_v)) = hAPP(V_c, hAPP(V_d, V_v))) )).
% 12.31/12.52 cnf(matrix-451, plain, ( ( hAPP(V_f, hAPP(V_g, V_x)) != hAPP(V_f_H, hAPP(V_g_H, V_x_H))) | ( hAPP(c_Fun_Ocomp(V_f, V_g, T_b, T_a, T_c), V_x) = hAPP(c_Fun_Ocomp(V_f_H, V_g_H, T_d, T_a, T_e), V_x_H)) )).
% 12.31/12.52 cnf(matrix-452, plain, ( ( hAPP(c_Product__Type_Oapfst(V_f, T_c, T_a, T_b), hAPP(c_Product__Type_Oapfst(V_g, T_d, T_c, T_b), V_x)) = hAPP(c_Product__Type_Oapfst(c_Fun_Ocomp(V_f, V_g, T_c, T_a, T_d), T_d, T_a, T_b), V_x)) )).
% 12.31/12.52 cnf(matrix-453, plain, ( ( c_Expr_Oexp_OVal(V_val, T_a) != c_Expr_Oexp_OFAss(V_exp1_H, V_list1_H, V_list2_H, V_exp2_H, T_a)) )).
% 12.31/12.52 cnf(matrix-454, plain, ( hBOOL(hAPP(hAPP(V_P, c_snd(hAPP(hAPP(c_Pair(T_b, T_a), V_x), V_y), T_b, T_a)), c_fst(hAPP(hAPP(c_Pair(T_b, T_a), V_x), V_y), T_b, T_a))) | ~hBOOL(hAPP(hAPP(V_P, V_y), V_x)) )).
% 12.31/12.52 cnf(matrix-455, plain, ( ( c_Expr_Oexp_OVal(V_val, T_a) != c_Expr_Oexp_OVal(V_val_H, T_a)) | ( V_val = V_val_H) )).
% 12.31/12.52 cnf(matrix-456, plain, ( c_TypeRel_Ohas__field(v_P, v_C____, v_F____, v_TF____, v_D____, tc_prod(tc_List_Olist(tc_List_Olist(tc_String_Ochar)), tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)))) )).
% 12.31/12.52 cnf(matrix-457, plain, ( ( hAPP(v_ha____, v_a____) = hAPP(c_Option_Ooption_OSome(tc_prod(tc_List_Olist(tc_String_Ochar), tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar), tc_List_Olist(tc_String_Ochar)), tc_Option_Ooption(tc_Value_Oval)))), hAPP(hAPP(c_Pair(tc_List_Olist(tc_String_Ochar), tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar), tc_List_Olist(tc_String_Ochar)), tc_Option_Ooption(tc_Value_Oval))), v_C____), v_fs____))) )).
% 12.31/12.52 cnf(matrix-458, plain, ( ( c_Fun_Ofun__upd(V_m, V_a, hAPP(c_Option_Ooption_OSome(T_b), V_x), T_a, tc_Option_Ooption(T_b)) != c_Fun_Ofun__upd(V_n, V_a, hAPP(c_Option_Ooption_OSome(T_b), V_y), T_a, tc_Option_Ooption(T_b))) | ( V_x = V_y) )).
% 12.31/12.52 cnf(matrix-459, plain, ( ( c_Option_Othe(hAPP(c_Option_Ooption_OSome(T_a), V_x), T_a) = V_x) )).
% 12.31/12.52 cnf(matrix-460, plain, ( ( c_Option_Ooption_Ooption__rec(V_f1, V_f2, hAPP(c_Option_Ooption_OSome(T_b), V_a), T_a, T_b) = hAPP(V_f2, V_a)) )).
% 12.31/12.52 cnf(matrix-461, plain, ( ( hAPP(c_Fun_Ofun__upd(V_f, V_x, V_y, T_a, T_b), V_z) = hAPP(V_f, V_z)) | ( V_z = V_x) )).
% 12.31/12.52 cnf(matrix-462, plain, ( ( hAPP(c_Fun_Ofun__upd(V_f, V_x, V_y, T_b, T_a), V_z) = hAPP(V_f, V_z)) | ( V_z = V_x) )).
% 12.31/12.52 cnf(matrix-463, plain, ( ( hAPP(hAPP(c_Product__Type_Oprod__fun(V_f, T_c, T_a, T_d, T_b), V_g), hAPP(hAPP(c_Pair(T_c, T_d), V_a), V_b)) = hAPP(hAPP(c_Pair(T_a, T_b), hAPP(V_f, V_a)), hAPP(V_g, V_b))) )).
% 12.31/12.52 cnf(matrix-464, plain, ( ( hAPP(hAPP(c_Pair(T_a, T_b), V_a), V_b) != hAPP(hAPP(c_Pair(T_a, T_b), V_a_H), V_b_H)) | ( V_b = V_b_H) )).
% 12.31/12.52 cnf(matrix-465, plain, ( ( hAPP(hAPP(c_Pair(T_a, T_b), V_a), V_b) != hAPP(hAPP(c_Pair(T_a, T_b), V_a_H), V_b_H)) | ( V_a = V_a_H) )).
% 12.31/12.52 cnf(matrix-466, plain, ( ( hAPP(V_t, V_k) != hAPP(c_Option_Ooption_OSome(T_a), V_x)) | ( c_Fun_Ofun__upd(V_t, V_k, hAPP(c_Option_Ooption_OSome(T_a), V_x), T_b, tc_Option_Ooption(T_a)) = V_t) )).
% 12.31/12.52 cnf(matrix-467, plain, ( ( hAPP(c_Fun_Ofun__upd(V_m, V_xa, hAPP(c_Option_Ooption_OSome(T_a), V_x), T_aa, tc_Option_Ooption(T_a)), V_xa) = hAPP(c_Option_Ooption_OSome(T_a), V_x)) )).
% 12.31/12.52 cnf(matrix-468, plain, ( ( hAPP(V_m1, V_x) != hAPP(c_Option_Ooption_OSome(T_a), V_v)) | ( hAPP(V_m2, V_k) != hAPP(c_Option_Ooption_OSome(T_b), V_x)) | ( c_Map_Omap__comp(V_m1, V_m2, V_k, T_b, T_a, T_c) = hAPP(c_Option_Ooption_OSome(T_a), V_v)) )).
% 12.31/12.52 cnf(matrix-469, plain, ( ~hBOOL(hAPP(V_P, hAPP(hAPP(c_Product__Type_Oprod_Oprod__case(t_b, t_c, t_a), V_f1), hAPP(hAPP(c_Pair(t_b, t_c), V_xa), V_xb)))) | hBOOL(hAPP(V_P, hAPP(hAPP(V_f1, V_xa), V_xb))) )).
% 12.31/12.52 cnf(matrix-470, plain, ( hBOOL(hAPP(hAPP(c_Product__Type_Oprod_Oprod__case(T_a, T_b, tc_bool), V_f1), hAPP(hAPP(c_Pair(T_a, T_b), V_a), V_b))) | ~hBOOL(hAPP(hAPP(V_f1, V_a), V_b)) )).
% 12.31/12.52 cnf(matrix-471, plain, ( ~hBOOL(hAPP(V_P, hAPP(hAPP(c_Product__Type_Oprod_Oprod__case(t_b, t_c, t_a), V_f1), hAPP(hAPP(c_Pair(t_b, t_c), V_a), V_b)))) | hBOOL(hAPP(V_P, hAPP(hAPP(V_f1, V_a), V_b))) )).
% 12.31/12.52 cnf(matrix-472, plain, ( ( c_Map_Omap__add(V_f, c_Fun_Ofun__upd(V_g, V_x, hAPP(c_Option_Ooption_OSome(T_b), V_y), T_a, tc_Option_Ooption(T_b)), T_a, T_b) = c_Fun_Ofun__upd(c_Map_Omap__add(V_f, V_g, T_a, T_b), V_x, hAPP(c_Option_Ooption_OSome(T_b), V_y), T_a, tc_Option_Ooption(T_b))) )).
% 12.31/12.52 cnf(matrix-473, plain, ( hBOOL(hAPP(V_P, hAPP(hAPP(c_Pair(T_a, T_b), V_a), V_b))) | ~hBOOL(hAPP(V_P, c_ATP__Linkup_Osko__Product__Type__Xsplit__paired__All__1__1(V_P, T_a, T_b))) )).
% 12.31/12.52 cnf(matrix-474, plain, ( hBOOL(hAPP(V_P, c_ATP__Linkup_Osko__Product__Type__Xsplit__paired__Ex__1__3(V_P, T_a, T_b))) | ~hBOOL(hAPP(V_P, hAPP(hAPP(c_Pair(T_a, T_b), V_x), V_xa))) )).
% 12.31/12.52 cnf(matrix-475, plain, ( ( hAPP(hAPP(c_Product__Type_Ointernal__split(T_b, T_c, T_a), V_c), hAPP(hAPP(c_Pair(T_b, T_c), V_a), V_b)) = hAPP(hAPP(V_c, V_a), V_b)) )).
% 12.31/12.52 cnf(matrix-476, plain, ( ( c_Fun_Ofun__upd(V_f, V_x, hAPP(V_f, V_x), T_aa, T_a) = V_f) )).
% 12.31/12.52 cnf(matrix-477, plain, ( ( hAPP(c_Fun_Ofun__upd(V_f, V_x, V_y, T_a, T_aa), V_x) = V_y) )).
% 12.31/12.52 cnf(matrix-478, plain, ( ( c_Fun_Ofun__upd(V_f, V_x, hAPP(V_f, V_x), T_a, T_b) = V_f) )).
% 12.31/12.52 cnf(matrix-479, plain, ( ( hAPP(c_Fun_Ofun__upd(V_f, V_x, V_y, T_b, T_a), V_x) = V_y) )).
% 12.31/12.52 cnf(matrix-480, plain, ( ( c_Fun_Ofun__upd(V_f, V_x, hAPP(V_f, V_x), T_b, T_a) = V_f) )).
% 12.31/12.52 cnf(matrix-481, plain, ( ( c_Fun_Oswap(V_a, V_b, V_f, T_a, T_b) = c_Fun_Ofun__upd(c_Fun_Ofun__upd(V_f, V_a, hAPP(V_f, V_b), T_a, T_b), V_b, hAPP(V_f, V_a), T_a, T_b)) )).
% 12.31/12.52 cnf(matrix-482, plain, ( ( c_Objects_Otypeof__h(v_ha____, v_v____) = hAPP(c_Option_Ooption_OSome(tc_Type_Oty), v_Tv____)) )).
% 12.31/12.52 cnf(matrix-483, plain, ( ( c_Product__Type_Oscomp(V_x, c_Pair(T_b, T_c), T_a, T_b, T_c, tc_prod(T_b, T_c)) = V_x) )).
% 12.31/12.52 cnf(matrix-484, plain, ( ( c_Product__Type_Oscomp(hAPP(c_Pair(T_c, T_a), V_x), V_f, T_a, T_c, T_a, T_b) = hAPP(V_f, V_x)) )).
% 12.31/12.52 cnf(matrix-485, plain, ( ( c_Fun_Ofun__upd(c_Fun_Ofun__upd(V_f, V_x, V_y, T_a, T_b), V_x, V_z, T_a, T_b) = c_Fun_Ofun__upd(V_f, V_x, V_z, T_a, T_b)) )).
% 12.31/12.52 cnf(matrix-486, plain, ( ( hAPP(V_h, V_a) != hAPP(c_Option_Ooption_OSome(tc_prod(tc_List_Olist(tc_String_Ochar), tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar), tc_List_Olist(tc_String_Ochar)), tc_Option_Ooption(tc_Value_Oval)))), hAPP(hAPP(c_Pair(tc_List_Olist(tc_String_Ochar), tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar), tc_List_Olist(tc_String_Ochar)), tc_Option_Ooption(tc_Value_Oval))), V_C), V_fs))) | ~c_Conform_Ohconf(V_P, V_h, T_a) | c_Conform_Ohconf(V_P, c_Fun_Ofun__upd(V_h, V_a, hAPP(c_Option_Ooption_OSome(tc_prod(tc_List_Olist(tc_String_Ochar), tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar), tc_List_Olist(tc_String_Ochar)), tc_Option_Ooption(tc_Value_Oval)))), hAPP(hAPP(c_Pair(tc_List_Olist(tc_String_Ochar), tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar), tc_List_Olist(tc_String_Ochar)), tc_Option_Ooption(tc_Value_Oval))), V_C), V_fs_H)), tc_nat, tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar), tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar), tc_List_Olist(tc_String_Ochar)), tc_Option_Ooption(tc_Value_Oval))))), T_a) | ~c_Conform_Ooconf(V_P, V_h, hAPP(hAPP(c_Pair(tc_List_Olist(tc_String_Ochar), tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar), tc_List_Olist(tc_String_Ochar)), tc_Option_Ooption(tc_Value_Oval))), V_C), V_fs_H), T_a) )).
% 12.31/12.52 cnf(matrix-487, plain, ( ( hAPP(V_h, V_a) != hAPP(c_Option_Ooption_OSome(tc_prod(tc_List_Olist(tc_String_Ochar), tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar), tc_List_Olist(tc_String_Ochar)), tc_Option_Ooption(tc_Value_Oval)))), hAPP(hAPP(c_Pair(tc_List_Olist(tc_String_Ochar), tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar), tc_List_Olist(tc_String_Ochar)), tc_Option_Ooption(tc_Value_Oval))), V_C), V_fs))) | ~c_Conform_Ooconf(V_P, V_h, V_obj, T_a) | c_Conform_Ooconf(V_P, c_Fun_Ofun__upd(V_h, V_a, hAPP(c_Option_Ooption_OSome(tc_prod(tc_List_Olist(tc_String_Ochar), tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar), tc_List_Olist(tc_String_Ochar)), tc_Option_Ooption(tc_Value_Oval)))), hAPP(hAPP(c_Pair(tc_List_Olist(tc_String_Ochar), tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar), tc_List_Olist(tc_String_Ochar)), tc_Option_Ooption(tc_Value_Oval))), V_C), V_fs_H)), tc_nat, tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar), tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar), tc_List_Olist(tc_String_Ochar)), tc_Option_Ooption(tc_Value_Oval))))), V_obj, T_a) )).
% 12.31/12.52 cnf(matrix-488, plain, ( ( hAPP(hAPP(c_curry(V_f, T_b, T_c, T_a), V_a), V_b) = hAPP(V_f, hAPP(hAPP(c_Pair(T_b, T_c), V_a), V_b))) )).
% 12.31/12.52 cnf(matrix-489, plain, ( ( c_Fun_Ofun__upd(c_Fun_Ooverride__on(V_f, c_Fun_Ofun__upd(V_g, V_a, hAPP(c_Option_Ooption_OSome(T_b), V_b), T_a, tc_Option_Ooption(T_b)), V_A, T_a, tc_Option_Ooption(T_b)), V_a, hAPP(V_g, V_a), T_a, tc_Option_Ooption(T_b)) = c_Fun_Ooverride__on(V_f, V_g, c_Set_Oinsert(V_a, V_A, T_a), T_a, tc_Option_Ooption(T_b))) )).
% 12.31/12.52 cnf(matrix-490, plain, ( c_Conform_Ohconf(v_P, v_ha____, tc_prod(tc_List_Olist(tc_List_Olist(tc_String_Ochar)), tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)))) )).
% 12.31/12.52 cnf(matrix-491, plain, ( ~hBOOL(hAPP(V_P, c_Option_Ooption_Ooption__case(V_f1, V_f2, hAPP(c_Option_Ooption_OSome(t_b), V_xa), t_a, t_b))) | hBOOL(hAPP(V_P, hAPP(V_f2, V_xa))) )).
% 12.31/12.52 cnf(matrix-492, plain, ( ~hBOOL(hAPP(V_P, c_Option_Ooption_Ooption__case(V_f1, V_f2, hAPP(c_Option_Ooption_OSome(t_b), V_a), t_a, t_b))) | hBOOL(hAPP(V_P, hAPP(V_f2, V_a))) )).
% 12.31/12.52 cnf(matrix-493, plain, ( c_Fun_Oinj__on(c_Option_Ooption_OSome(T_a), V_A, T_a, tc_Option_Ooption(T_a)) )).
% 12.31/12.52 cnf(matrix-494, plain, ( ~hBOOL(c_Option_Ois__none(hAPP(c_Option_Ooption_OSome(T_a), V_x), T_a)) )).
% 12.31/12.52 cnf(matrix-495, plain, ( ( c_Fun_Ofun__upd(c_Fun_Ofun__upd(V_m, V_a, V_b, T_a, T_b), V_c, V_d, T_a, T_b) = c_Fun_Ofun__upd(c_Fun_Ofun__upd(V_m, V_c, V_d, T_a, T_b), V_a, V_b, T_a, T_b)) | ( V_a = V_c) )).
% 12.31/12.52 cnf(matrix-496, plain, ( ( hAPP(hAPP(c_Product__Type_Oprod_Oprod__case(T_b, T_c, T_a), V_f1), hAPP(hAPP(c_Pair(T_b, T_c), V_a), V_b)) = hAPP(hAPP(V_f1, V_a), V_b)) )).
% 12.31/12.52 cnf(matrix-497, plain, ( ( hAPP(c_Option_Ooption_OSome(T_a), V_a) != hAPP(c_Option_Ooption_OSome(T_a), V_a_H)) | ( V_a = V_a_H) )).
% 12.31/12.52 cnf(matrix-498, plain, ( ( hAPP(c_Option_Ooption_OSome(T_a), V_xa) != c_Option_Ooption_ONone(T_a)) )).
% 12.31/12.52 cnf(matrix-499, plain, ( ( hAPP(c_Option_Ooption_OSome(T_a), V_a_H) != c_Option_Ooption_ONone(T_a)) )).
% 12.31/12.52 cnf(matrix-500, plain, ( c_Map_Omap__le(c_Fun_Ofun__upd(V_f, V_a, V_b, T_a, tc_Option_Ooption(T_b)), c_Fun_Ofun__upd(V_g, V_a, V_b, T_a, tc_Option_Ooption(T_b)), T_a, T_b) | ~c_Map_Omap__le(V_f, V_g, T_a, T_b) )).
% 12.31/12.52 cnf(matrix-501, plain, ( c_Map_Omap__le(c_Fun_Ofun__upd(V_m1, V_x, c_Option_Ooption_ONone(T_b), T_a, tc_Option_Ooption(T_b)), c_Fun_Ofun__upd(V_m2, V_x, hAPP(c_Option_Ooption_OSome(T_b), V_y), T_a, tc_Option_Ooption(T_b)), T_a, T_b) | ~c_Map_Omap__le(V_m1, V_m2, T_a, T_b) )).
% 12.31/12.52 cnf(matrix-502, plain, ( hBOOL(hAPP(hAPP(hAPP(V_R, V_a), V_b), V_c)) | ~hBOOL(hAPP(hAPP(hAPP(c_split(T_a, T_b, tc_fun(T_c, tc_bool)), V_R), hAPP(hAPP(c_Pair(T_a, T_b), V_a), V_b)), V_c)) )).
% 12.31/12.52 cnf(matrix-503, plain, ( hBOOL(hAPP(hAPP(c_split(T_a, T_b, tc_bool), V_f), hAPP(hAPP(c_Pair(T_a, T_b), V_a), V_b))) | ~hBOOL(hAPP(hAPP(V_f, V_a), V_b)) )).
% 12.31/12.52 cnf(matrix-504, plain, ( hBOOL(hAPP(hAPP(V_f, V_a), V_b)) | ~hBOOL(hAPP(hAPP(c_split(T_a, T_b, tc_bool), V_f), hAPP(hAPP(c_Pair(T_a, T_b), V_a), V_b))) )).
% 12.31/12.52 cnf(matrix-505, plain, ( ( hAPP(V_m, V_x) != hAPP(c_Option_Ooption_OSome(T_a), V_y)) | ( V_x = V_a) | ( hAPP(c_Fun_Ofun__upd(V_m, V_a, hAPP(c_Option_Ooption_OSome(T_a), V_b), T_b, tc_Option_Ooption(T_a)), V_x) = hAPP(c_Option_Ooption_OSome(T_a), V_y)) )).
% 12.31/12.52 cnf(matrix-506, plain, ( ( hAPP(c_Fun_Ofun__upd(V_m, V_a, hAPP(c_Option_Ooption_OSome(T_a), V_b), T_b, tc_Option_Ooption(T_a)), V_x) != hAPP(c_Option_Ooption_OSome(T_a), V_y)) | ( hAPP(V_m, V_x) = hAPP(c_Option_Ooption_OSome(T_a), V_y)) | ( V_b = V_y) )).
% 12.31/12.52 cnf(matrix-507, plain, ( ( hAPP(c_Fun_Ofun__upd(V_m, V_a, hAPP(c_Option_Ooption_OSome(T_a), V_b), T_b, tc_Option_Ooption(T_a)), V_x) != hAPP(c_Option_Ooption_OSome(T_a), V_y)) | ( hAPP(V_m, V_x) = hAPP(c_Option_Ooption_OSome(T_a), V_y)) | ( V_x = V_a) )).
% 12.31/12.52 cnf(matrix-508, plain, ( ( c_Fun_Ofun__upd(V_t, V_k, hAPP(c_Option_Ooption_OSome(T_b), V_x), T_a, tc_Option_Ooption(T_b)) != c_COMBK(c_Option_Ooption_ONone(T_b), tc_Option_Ooption(T_b), T_a)) )).
% 12.31/12.52 cnf(matrix-509, plain, ( c_Conform_Ooconf(V_P, V_h, hAPP(hAPP(c_Pair(tc_List_Olist(tc_String_Ochar), tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar), tc_List_Olist(tc_String_Ochar)), tc_Option_Ooption(tc_Value_Oval))), V_C), c_Objects_Oinit__fields(V_FDTs)), T_a) | ~c_TypeRel_OFields(V_P, V_C, V_FDTs, T_a) )).
% 12.31/12.52 cnf(matrix-510, plain, ( ( hAPP(hAPP(c_split(T_a, T_b, T_c), V_f), hAPP(hAPP(c_Pair(T_a, T_b), V_a), V_b)) = hAPP(hAPP(V_f, V_a), V_b)) )).
% 12.31/12.52 cnf(matrix-511, plain, ( ( hAPP(hAPP(c_split(T_b, T_c, T_a), V_f), hAPP(hAPP(c_Pair(T_b, T_c), V_a), V_b)) = hAPP(hAPP(V_f, V_a), V_b)) )).
% 12.31/12.52 cnf(matrix-512, plain, ( hBOOL(hAPP(hAPP(c_curry(V_f, T_a, T_b, tc_bool), V_a), V_b)) | ~hBOOL(hAPP(V_f, hAPP(hAPP(c_Pair(T_a, T_b), V_a), V_b))) )).
% 12.31/12.52 cnf(matrix-513, plain, ( hBOOL(hAPP(V_f, hAPP(hAPP(c_Pair(T_a, T_b), V_a), V_b))) | ~hBOOL(hAPP(hAPP(c_curry(V_f, T_a, T_b, tc_bool), V_a), V_b)) )).
% 12.31/12.52 cnf(matrix-514, plain, ( c_WellTypeRT_OWTrt(v_P, v_ha____, v_E____, c_Expr_Oexp_OFAss(c_Expr_Oexp_OVal(c_Value_Oval_OAddr(v_a____), tc_List_Olist(tc_String_Ochar)), v_F____, v_D____, c_Expr_Oexp_OVal(v_v____, tc_List_Olist(tc_String_Ochar)), tc_List_Olist(tc_String_Ochar)), v_T____) )).
% 12.31/12.52 cnf(matrix-515, plain, ( ( c_Option_Ooption_Ooption__case(V_f1, V_f2, hAPP(c_Option_Ooption_OSome(T_b), V_a), T_a, T_b) = hAPP(V_f2, V_a)) )).
% 12.31/12.52 cnf(matrix-516, plain, ( ( c_Fun_Ocomp(c_Option_Omap(V_f, T_c, T_b), c_Fun_Ofun__upd(V_m, V_a, hAPP(c_Option_Ooption_OSome(T_c), V_b), T_a, tc_Option_Ooption(T_c)), tc_Option_Ooption(T_c), tc_Option_Ooption(T_b), T_a) = c_Fun_Ofun__upd(c_Fun_Ocomp(c_Option_Omap(V_f, T_c, T_b), V_m, tc_Option_Ooption(T_c), tc_Option_Ooption(T_b), T_a), V_a, hAPP(c_Option_Ooption_OSome(T_b), hAPP(V_f, V_b)), T_a, tc_Option_Ooption(T_b))) )).
% 12.31/12.52 cnf(matrix-517, plain, ( ( c_Map_Omap__upds(V_m, c_List_Olist_OCons(V_a, V_as, T_a), c_List_Olist_OCons(V_b, V_bs, T_b), T_a, T_b) = c_Map_Omap__upds(c_Fun_Ofun__upd(V_m, V_a, hAPP(c_Option_Ooption_OSome(T_b), V_b), T_a, tc_Option_Ooption(T_b)), V_as, V_bs, T_a, T_b)) )).
% 12.31/12.52 cnf(matrix-518, plain, ( ( c_Product__Type_Oprod_Oprod__rec(V_f1, hAPP(hAPP(c_Pair(T_b, T_c), V_a), V_b), T_b, T_c, T_a) = hAPP(hAPP(V_f1, V_a), V_b)) )).
% 12.31/12.52 cnf(matrix-519, plain, ( ( c_fst(hAPP(hAPP(c_Pair(T_a, T_b), V_a), V_b), T_a, T_b) = V_a) )).
% 12.31/12.52 cnf(matrix-520, plain, ( ( V_x = c_fst(hAPP(hAPP(c_Pair(T_a, T_b), V_x), V_y), T_a, T_b)) )).
% 12.31/12.52 cnf(matrix-521, plain, ( ( V_b = V_y) | ( hAPP(c_Fun_Ofun__upd(V_m, V_x, hAPP(c_Option_Ooption_OSome(T_aa), V_b), T_a, tc_Option_Ooption(T_aa)), V_x) != hAPP(c_Option_Ooption_OSome(T_aa), V_y)) )).
% 12.31/12.52 cnf(matrix-522, plain, ( ( hAPP(c_Product__Type_Oapfst(V_f, T_c, T_a, T_b), hAPP(hAPP(c_Pair(T_c, T_b), V_x), V_y)) = hAPP(hAPP(c_Pair(T_a, T_b), hAPP(V_f, V_x)), V_y)) )).
% 12.31/12.52 cnf(matrix-523, plain, ( ( c_Fun_Ocomp(V_f, c_Fun_Ofun__upd(V_g, V_x, V_y, T_a, T_c), T_c, T_b, T_a) = c_Fun_Ofun__upd(c_Fun_Ocomp(V_f, V_g, T_c, T_b, T_a), V_x, hAPP(V_f, V_y), T_a, T_b)) )).
% 12.31/12.52 cnf(matrix-524, plain, ( ( c_Option_Ooption_ONone(T_a) != hAPP(c_Option_Ooption_OSome(T_a), V_y)) )).
% 12.31/12.52 cnf(matrix-525, plain, ( ( c_Option_Ooption_ONone(T_a) != hAPP(c_Option_Ooption_OSome(T_a), V_a_H)) )).
% 12.31/12.52 cnf(matrix-526, plain, ( ( c_Set_Oimage(c_Fun_Ofun__upd(V_m, V_x, hAPP(c_Option_Ooption_OSome(T_b), V_y), T_a, tc_Option_Ooption(T_b)), V_A, T_a, tc_Option_Ooption(T_b)) = c_Set_Oimage(V_m, V_A, T_a, tc_Option_Ooption(T_b))) | hBOOL(c_in(V_x, V_A, T_a)) )).
% 12.31/12.52 cnf(matrix-527, plain, ( ( hAPP(hAPP(c_Product__Type_Oapsnd(T_c, T_b, T_a), V_f), hAPP(hAPP(c_Pair(T_a, T_c), V_x), V_y)) = hAPP(hAPP(c_Pair(T_a, T_b), V_x), hAPP(V_f, V_y))) )).
% 12.31/12.52 cnf(matrix-528, plain, ( ( c_snd(hAPP(hAPP(c_Pair(T_b, T_a), V_a), V_b), T_b, T_a) = V_b) )).
% 12.31/12.52 cnf(matrix-529, plain, ( ( V_y = c_snd(hAPP(hAPP(c_Pair(T_b, T_a), V_x), V_y), T_b, T_a)) )).
% 12.31/12.52 cnf(matrix-530, plain, ( ( hAPP(c_Map_Omap__add(V_m, V_n, T_b, T_a), V_k) != hAPP(c_Option_Ooption_OSome(T_a), V_x)) | ( hAPP(V_m, V_k) = hAPP(c_Option_Ooption_OSome(T_a), V_x)) | ( hAPP(V_n, V_k) = hAPP(c_Option_Ooption_OSome(T_a), V_x)) )).
% 12.31/12.52 cnf(matrix-531, plain, ( ( hAPP(c_Option_Omap(V_f, T_b, T_a), hAPP(c_Option_Ooption_OSome(T_b), V_x)) = hAPP(c_Option_Ooption_OSome(T_a), hAPP(V_f, V_x))) )).
% 12.31/12.52 cnf(matrix-532, plain, ( c_Conform_Ooconf(V_P, V_h_H, V_obj, T_a) | ~c_Objects_Ohext(V_h, V_h_H) | ~c_Conform_Ooconf(V_P, V_h, V_obj, T_a) )).
% 12.31/12.52 cnf(matrix-533, plain, ( ( hAPP(V_m2, V_k) != hAPP(c_Option_Ooption_OSome(T_a), V_k_H)) | ( c_Map_Omap__comp(V_m1, V_m2, V_k, T_a, T_c, T_b) = hAPP(V_m1, V_k_H)) )).
% 12.31/12.52 cnf(matrix-534, plain, ( ~hBOOL(hAPP(V_P, c_ATP__Linkup_Osko__Option__Xospec__1__1(hAPP(c_Option_Ooption_OSome(T_a), V_x), V_P, T_a))) | hBOOL(hAPP(V_P, V_x)) )).
% 12.31/12.52 cnf(matrix-535, plain, ( hBOOL(hAPP(V_P, c_fst(hAPP(hAPP(c_Pair(T_a, T_b), V_p), V_q), T_a, T_b))) | ~hBOOL(hAPP(V_Q, V_q)) | ~hBOOL(hAPP(V_P, V_p)) )).
% 12.31/12.52 cnf(matrix-536, plain, ( ( hAPP(c_COMBI(t_a), v_P) = v_P) )).
% 12.31/12.52 cnf(matrix-537, plain, ( ( hAPP(V_n, V_k) != hAPP(c_Option_Ooption_OSome(T_a), V_xx)) | ( hAPP(c_Map_Omap__add(V_m, V_n, T_b, T_a), V_k) = hAPP(c_Option_Ooption_OSome(T_a), V_xx)) )).
% 12.31/12.52 cnf(matrix-538, plain, ( ( hAPP(V_n, V_k) != hAPP(c_Option_Ooption_OSome(T_a), V_x)) | ( hAPP(c_Map_Omap__add(V_m, V_n, T_b, T_a), V_k) = hAPP(c_Option_Ooption_OSome(T_a), V_x)) )).
% 12.31/12.52 cnf(matrix-539, plain, ( ( hAPP(c_Map_Omap__of(c_List_Olist_OCons(hAPP(hAPP(c_Pair(T_a, T_aa), V_x), V_v), V_ps, tc_prod(T_a, T_aa)), T_a, T_aa), V_x) = hAPP(c_Option_Ooption_OSome(T_aa), V_v)) )).
% 12.31/12.52 cnf(matrix-540, plain, ( ( c_Fun_Ofun__upd(V_f, V_x, V_y, T_a, T_b) != V_f) | ( hAPP(V_f, V_x) = V_y) )).
% 12.31/12.52 cnf(matrix-541, plain, ( c_Conform_Ooconf(V_P, V_h, hAPP(hAPP(c_Pair(tc_List_Olist(tc_String_Ochar), tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar), tc_List_Olist(tc_String_Ochar)), tc_Option_Ooption(tc_Value_Oval))), V_C), c_Fun_Ofun__upd(V_fs, hAPP(hAPP(c_Pair(tc_List_Olist(tc_String_Ochar), tc_List_Olist(tc_String_Ochar)), V_F), V_D), hAPP(c_Option_Ooption_OSome(tc_Value_Oval), V_v), tc_prod(tc_List_Olist(tc_String_Ochar), tc_List_Olist(tc_String_Ochar)), tc_Option_Ooption(tc_Value_Oval))), T_a) | ~c_Conform_Ooconf(V_P, V_h, hAPP(hAPP(c_Pair(tc_List_Olist(tc_String_Ochar), tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar), tc_List_Olist(tc_String_Ochar)), tc_Option_Ooption(tc_Value_Oval))), V_C), V_fs), T_a) | ~c_Conform_Oconf(V_P, V_h, V_v, V_T, T_a) | ~c_TypeRel_Ohas__field(V_P, V_C, V_F, V_T, V_D, T_a) )).
% 12.31/12.52 cnf(matrix-542, plain, ( hBOOL(hAPP(V_Q, c_snd(hAPP(hAPP(c_Pair(T_a, T_b), V_p), V_q), T_a, T_b))) | ~hBOOL(hAPP(V_Q, V_q)) | ~hBOOL(hAPP(V_P, V_p)) )).
% 12.31/12.52 cnf(matrix-543, plain, ( ~c_Conform_Ooconf(v_P, v_ha____, hAPP(hAPP(c_Pair(tc_List_Olist(tc_String_Ochar), tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar), tc_List_Olist(tc_String_Ochar)), tc_Option_Ooption(tc_Value_Oval))), v_C____), c_Fun_Ofun__upd(v_fs____, hAPP(hAPP(c_Pair(tc_List_Olist(tc_String_Ochar), tc_List_Olist(tc_String_Ochar)), v_F____), v_D____), hAPP(c_Option_Ooption_OSome(tc_Value_Oval), v_v____), tc_prod(tc_List_Olist(tc_String_Ochar), tc_List_Olist(tc_String_Ochar)), tc_Option_Ooption(tc_Value_Oval))), tc_prod(tc_List_Olist(tc_List_Olist(tc_String_Ochar)), tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)))) )).
% 12.31/12.52 cnf(matrix-544, plain, ( class_Orderings_Otop(tc_fun(T_2, T_1)) | ~class_Orderings_Otop(T_1) )).
% 12.31/12.52 cnf(matrix-545, plain, ( class_Orderings_Obot(tc_fun(T_2, T_1)) | ~class_Orderings_Obot(T_1) )).
% 12.31/12.52 cnf(matrix-546, plain, ( class_HOL_Ominus(tc_fun(T_2, T_1)) | ~class_HOL_Ominus(T_1) )).
% 12.31/12.52 cnf(matrix-547, plain, ( class_OrderedGroup_Ocomm__monoid__mult(tc_nat) )).
% 12.31/12.52 cnf(matrix-548, plain, ( class_OrderedGroup_Ocomm__monoid__add(tc_nat) )).
% 12.31/12.52 cnf(matrix-549, plain, ( class_Orderings_Obot(tc_nat) )).
% 12.31/12.52 cnf(matrix-550, plain, ( class_HOL_Ominus(tc_nat) )).
% 12.31/12.52 cnf(matrix-551, plain, ( class_Orderings_Otop(tc_bool) )).
% 12.31/12.52 cnf(matrix-552, plain, ( class_Orderings_Obot(tc_bool) )).
% 12.31/12.52 cnf(matrix-553, plain, ( class_HOL_Ominus(tc_bool) )).
% 12.31/12.52 cnf(matrix-554, plain, ( hBOOL(c_fequal(V_x, V_x, T_a)) )).
% 12.31/12.52 cnf(matrix-555, plain, ( ( V_X = V_Y) | ~hBOOL(c_fequal(V_X, V_Y, T_a)) )).
% 12.31/12.52
% 12.31/12.52 % Proof stack:
% 12.31/12.52 cnf(proof-stack, plain,
% 12.31/12.52 proof_stack(
% 12.31/12.52 start(543),
% 12.31/12.52 left_branch(0, 541, 0, 2),
% 12.31/12.52 left_branch(0, 456, 0, 3),
% 12.31/12.52 right_branch(3),
% 12.31/12.52 left_branch(0, 319, 1, 4),
% 12.31/12.52 left_branch(0, 482, 0, 5),
% 12.31/12.52 right_branch(5),
% 12.31/12.52 left_branch(0, 304, 0, 6),
% 12.31/12.52 right_branch(6),
% 12.31/12.52 right_branch(4),
% 12.31/12.52 left_branch(0, 434, 2, 5),
% 12.31/12.52 left_branch(0, 457, 0, 6),
% 12.31/12.52 right_branch(6),
% 12.31/12.52 left_branch(0, 490, 0, 7),
% 12.31/12.52 right_branch(7),
% 12.31/12.52 right_branch(5),
% 12.31/12.52 right_branch(2)
% 12.31/12.52 )).
% 12.31/12.52 % SZS output end Proof for theBenchmark
%------------------------------------------------------------------------------