TSTP Solution File: SCT052-1 by ConnectPP---0.3.0
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- Process Solution
%------------------------------------------------------------------------------
% File : ConnectPP---0.3.0
% Problem : SCT052-1 : 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 : n017.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8042.1875MB
% OS : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Mon Mar 25 14:30:16 EDT 2024
% Result : Unsatisfiable 82.75s 82.96s
% Output : Proof 82.75s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12 % Problem : SCT052-1 : TPTP v8.1.2. Released v4.1.0.
% 0.03/0.12 % Command : connect++ --verbosity 0 --no-colour --tptp-proof --schedule default %s
% 0.13/0.33 % Computer : n017.cluster.edu
% 0.13/0.33 % Model : x86_64 x86_64
% 0.13/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.33 % Memory : 8042.1875MB
% 0.13/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.33 % CPULimit : 300
% 0.13/0.33 % WCLimit : 300
% 0.13/0.33 % DateTime : Wed Mar 20 16:47:57 EDT 2024
% 0.13/0.33 % CPUTime :
% 82.75/82.96 % SZS status Unsatisfiable for theBenchmark
% 82.75/82.96 % SZS output start Proof for theBenchmark
% 82.75/82.96
% 82.75/82.96 % Problem matrix:
% 82.75/82.96 cnf(matrix-0, plain, ( ( __eqx_0 = __eqx_0) )).
% 82.75/82.96 cnf(matrix-1, plain, ( ( __eqx_0 != __eqx_1) | ( __eqx_1 = __eqx_0) )).
% 82.75/82.96 cnf(matrix-2, plain, ( ( __eqx_0 != __eqx_1) | ( __eqx_1 != __eqx_2) | ( __eqx_0 = __eqx_2) )).
% 82.75/82.96 cnf(matrix-3, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( c_Lattices_Oupper__semilattice__class_Osup(__eqx_0, __eqx_1, __eqx_2) = c_Lattices_Oupper__semilattice__class_Osup(__eqy_0, __eqy_1, __eqy_2)) )).
% 82.75/82.96 cnf(matrix-4, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( tc_fun(__eqx_0, __eqx_1) = tc_fun(__eqy_0, __eqy_1)) )).
% 82.75/82.96 cnf(matrix-5, 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)) )).
% 82.75/82.96 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)) )).
% 82.75/82.96 cnf(matrix-7, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( __eqx_3 != __eqy_3) | ( c_Relation_OImage(__eqx_0, __eqx_1, __eqx_2, __eqx_3) = c_Relation_OImage(__eqy_0, __eqy_1, __eqy_2, __eqy_3)) )).
% 82.75/82.96 cnf(matrix-8, 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)) )).
% 82.75/82.96 cnf(matrix-9, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( __eqx_3 != __eqy_3) | ( c_Product__Type_OSigma(__eqx_0, __eqx_1, __eqx_2, __eqx_3) = c_Product__Type_OSigma(__eqy_0, __eqy_1, __eqy_2, __eqy_3)) )).
% 82.75/82.96 cnf(matrix-10, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( tc_prod(__eqx_0, __eqx_1) = tc_prod(__eqy_0, __eqy_1)) )).
% 82.75/82.96 cnf(matrix-11, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( hAPP(__eqx_0, __eqx_1) = hAPP(__eqy_0, __eqy_1)) )).
% 82.75/82.96 cnf(matrix-12, 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)) )).
% 82.75/82.96 cnf(matrix-13, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( c_List_Osko__Recdef__Xtfl__wf__induct__1__1(__eqx_0, __eqx_1, __eqx_2) = c_List_Osko__Recdef__Xtfl__wf__induct__1__1(__eqy_0, __eqy_1, __eqy_2)) )).
% 82.75/82.96 cnf(matrix-14, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( __eqx_3 != __eqy_3) | ( __eqx_4 != __eqy_4) | ( c_Relation_Orel__comp(__eqx_0, __eqx_1, __eqx_2, __eqx_3, __eqx_4) = c_Relation_Orel__comp(__eqy_0, __eqy_1, __eqy_2, __eqy_3, __eqy_4)) )).
% 82.75/82.96 cnf(matrix-15, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( c_Relation_OId__on(__eqx_0, __eqx_1) = c_Relation_OId__on(__eqy_0, __eqy_1)) )).
% 82.75/82.96 cnf(matrix-16, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( c_Lattices_Olower__semilattice__class_Oinf(__eqx_0, __eqx_1, __eqx_2) = c_Lattices_Olower__semilattice__class_Oinf(__eqy_0, __eqy_1, __eqy_2)) )).
% 82.75/82.96 cnf(matrix-17, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( c_Relation_ODomain(__eqx_0, __eqx_1, __eqx_2) = c_Relation_ODomain(__eqy_0, __eqy_1, __eqy_2)) )).
% 82.75/82.96 cnf(matrix-18, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( c_Relation_ORange(__eqx_0, __eqx_1, __eqx_2) = c_Relation_ORange(__eqy_0, __eqy_1, __eqy_2)) )).
% 82.75/82.96 cnf(matrix-19, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( c_ATP__Linkup_Osko__Wellfounded__Xwf__induct__1__1(__eqx_0, __eqx_1, __eqx_2) = c_ATP__Linkup_Osko__Wellfounded__Xwf__induct__1__1(__eqy_0, __eqy_1, __eqy_2)) )).
% 82.75/82.96 cnf(matrix-20, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( c_Transitive__Closure_Ortrancl(__eqx_0, __eqx_1) = c_Transitive__Closure_Ortrancl(__eqy_0, __eqy_1)) )).
% 82.75/82.96 cnf(matrix-21, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( __eqx_3 != __eqy_3) | ( c_Pair(__eqx_0, __eqx_1, __eqx_2, __eqx_3) = c_Pair(__eqy_0, __eqy_1, __eqy_2, __eqy_3)) )).
% 82.75/82.96 cnf(matrix-22, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( c_ATP__Linkup_Osko__Wellfounded__Xwf__def__1__1(__eqx_0, __eqx_1, __eqx_2) = c_ATP__Linkup_Osko__Wellfounded__Xwf__def__1__1(__eqy_0, __eqy_1, __eqy_2)) )).
% 82.75/82.96 cnf(matrix-23, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( c_Relation_Oconverse(__eqx_0, __eqx_1, __eqx_2) = c_Relation_Oconverse(__eqy_0, __eqy_1, __eqy_2)) )).
% 82.75/82.96 cnf(matrix-24, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( c_Transitive__Closure_Otrancl(__eqx_0, __eqx_1) = c_Transitive__Closure_Otrancl(__eqy_0, __eqy_1)) )).
% 82.75/82.96 cnf(matrix-25, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( __eqx_3 != __eqy_3) | ( c_FuncSet_OPi(__eqx_0, __eqx_1, __eqx_2, __eqx_3) = c_FuncSet_OPi(__eqy_0, __eqy_1, __eqy_2, __eqy_3)) )).
% 82.75/82.96 cnf(matrix-26, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( c_Wellfounded_Oacc(__eqx_0, __eqx_1) = c_Wellfounded_Oacc(__eqy_0, __eqy_1)) )).
% 82.75/82.96 cnf(matrix-27, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( c_ATP__Linkup_Osko__Wellfounded__Xwf__induct__rule__1__1(__eqx_0, __eqx_1, __eqx_2) = c_ATP__Linkup_Osko__Wellfounded__Xwf__induct__rule__1__1(__eqy_0, __eqy_1, __eqy_2)) )).
% 82.75/82.96 cnf(matrix-28, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( __eqx_3 != __eqy_3) | ( __eqx_4 != __eqy_4) | ( __eqx_5 != __eqy_5) | ( c_List_Osko__Recdef__Xcuts__eq__1__1(__eqx_0, __eqx_1, __eqx_2, __eqx_3, __eqx_4, __eqx_5) = c_List_Osko__Recdef__Xcuts__eq__1__1(__eqy_0, __eqy_1, __eqy_2, __eqy_3, __eqy_4, __eqy_5)) )).
% 82.75/82.96 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_Recdef_Ocut(__eqx_0, __eqx_1, __eqx_2, __eqx_3, __eqx_4) = c_Recdef_Ocut(__eqy_0, __eqy_1, __eqy_2, __eqy_3, __eqy_4)) )).
% 82.75/82.96 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_COMBB(__eqx_0, __eqx_1, __eqx_2, __eqx_3, __eqx_4) = c_COMBB(__eqy_0, __eqy_1, __eqy_2, __eqy_3, __eqy_4)) )).
% 82.75/82.96 cnf(matrix-31, plain, ( ( __eqx_0 != __eqy_0) | ( c_Relation_OId(__eqx_0) = c_Relation_OId(__eqy_0)) )).
% 82.75/82.96 cnf(matrix-32, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( __eqx_3 != __eqy_3) | ( c_ATP__Linkup_Osko__Transitive__Closure__XrtranclE__1__1(__eqx_0, __eqx_1, __eqx_2, __eqx_3) = c_ATP__Linkup_Osko__Transitive__Closure__XrtranclE__1__1(__eqy_0, __eqy_1, __eqy_2, __eqy_3)) )).
% 82.75/82.96 cnf(matrix-33, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( v_sko__Arrow__Order__Mirabelle__Xdictator__def__1(__eqx_0, __eqx_1) = v_sko__Arrow__Order__Mirabelle__Xdictator__def__1(__eqy_0, __eqy_1)) )).
% 82.75/82.96 cnf(matrix-34, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( __eqx_3 != __eqy_3) | ( c_ATP__Linkup_Osko__Transitive__Closure__Xrtrancl__induct__1__1(__eqx_0, __eqx_1, __eqx_2, __eqx_3) = c_ATP__Linkup_Osko__Transitive__Closure__Xrtrancl__induct__1__1(__eqy_0, __eqy_1, __eqy_2, __eqy_3)) )).
% 82.75/82.96 cnf(matrix-35, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( __eqx_3 != __eqy_3) | ( c_ATP__Linkup_Osko__Transitive__Closure__Xrtrancl__induct__1__2(__eqx_0, __eqx_1, __eqx_2, __eqx_3) = c_ATP__Linkup_Osko__Transitive__Closure__Xrtrancl__induct__1__2(__eqy_0, __eqy_1, __eqy_2, __eqy_3)) )).
% 82.75/82.96 cnf(matrix-36, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( c_ATP__Linkup_Osko__Wellfounded__Xwf__eq__minimal__1__1(__eqx_0, __eqx_1, __eqx_2) = c_ATP__Linkup_Osko__Wellfounded__Xwf__eq__minimal__1__1(__eqy_0, __eqy_1, __eqy_2)) )).
% 82.75/82.96 cnf(matrix-37, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( c_ATP__Linkup_Osko__Wellfounded__XwfE__min__1__1(__eqx_0, __eqx_1, __eqx_2) = c_ATP__Linkup_Osko__Wellfounded__XwfE__min__1__1(__eqy_0, __eqy_1, __eqy_2)) )).
% 82.75/82.96 cnf(matrix-38, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( __eqx_3 != __eqy_3) | ( __eqx_4 != __eqy_4) | ( c_ATP__Linkup_Osko__Relation__XImageE__1__1(__eqx_0, __eqx_1, __eqx_2, __eqx_3, __eqx_4) = c_ATP__Linkup_Osko__Relation__XImageE__1__1(__eqy_0, __eqy_1, __eqy_2, __eqy_3, __eqy_4)) )).
% 82.75/82.96 cnf(matrix-39, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( __eqx_3 != __eqy_3) | ( __eqx_4 != __eqy_4) | ( c_ATP__Linkup_Osko__Relation__XImage__iff__1__1(__eqx_0, __eqx_1, __eqx_2, __eqx_3, __eqx_4) = c_ATP__Linkup_Osko__Relation__XImage__iff__1__1(__eqy_0, __eqy_1, __eqy_2, __eqy_3, __eqy_4)) )).
% 82.75/82.96 cnf(matrix-40, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( c_ATP__Linkup_Osko__Wellfounded__Xacc__induct__1__1(__eqx_0, __eqx_1, __eqx_2) = c_ATP__Linkup_Osko__Wellfounded__Xacc__induct__1__1(__eqy_0, __eqy_1, __eqy_2)) )).
% 82.75/82.96 cnf(matrix-41, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( v_sko__Wellfounded__Xacc__Xinducts__1(__eqx_0, __eqx_1) = v_sko__Wellfounded__Xacc__Xinducts__1(__eqy_0, __eqy_1)) )).
% 82.75/82.96 cnf(matrix-42, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( c_ATP__Linkup_Osko__Wellfounded__Xacc__induct__rule__1__1(__eqx_0, __eqx_1, __eqx_2) = c_ATP__Linkup_Osko__Wellfounded__Xacc__induct__rule__1__1(__eqy_0, __eqy_1, __eqy_2)) )).
% 82.75/82.96 cnf(matrix-43, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( c_ATP__Linkup_Osko__Wellfounded__Xnot__acc__down__1__1(__eqx_0, __eqx_1, __eqx_2) = c_ATP__Linkup_Osko__Wellfounded__Xnot__acc__down__1__1(__eqy_0, __eqy_1, __eqy_2)) )).
% 82.75/82.96 cnf(matrix-44, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( v_sko__Wellfounded__Xacc__Xinduct__1(__eqx_0, __eqx_1) = v_sko__Wellfounded__Xacc__Xinduct__1(__eqy_0, __eqy_1)) )).
% 82.75/82.96 cnf(matrix-45, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( c_ATP__Linkup_Osko__Wellfounded__Xacc__Xintros__1__1(__eqx_0, __eqx_1, __eqx_2) = c_ATP__Linkup_Osko__Wellfounded__Xacc__Xintros__1__1(__eqy_0, __eqy_1, __eqy_2)) )).
% 82.75/82.96 cnf(matrix-46, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( c_Arrow__Order__Mirabelle_Oabove(__eqx_0, __eqx_1, __eqx_2) = c_Arrow__Order__Mirabelle_Oabove(__eqy_0, __eqy_1, __eqy_2)) )).
% 82.75/82.96 cnf(matrix-47, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( v_sko__Transitive__Closure__Xrtrancl__Xcases__1(__eqx_0, __eqx_1, __eqx_2) = v_sko__Transitive__Closure__Xrtrancl__Xcases__1(__eqy_0, __eqy_1, __eqy_2)) )).
% 82.75/82.96 cnf(matrix-48, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( __eqx_3 != __eqy_3) | ( c_ATP__Linkup_Osko__Transitive__Closure__Xconverse__rtrancl__induct__1__1(__eqx_0, __eqx_1, __eqx_2, __eqx_3) = c_ATP__Linkup_Osko__Transitive__Closure__Xconverse__rtrancl__induct__1__1(__eqy_0, __eqy_1, __eqy_2, __eqy_3)) )).
% 82.75/82.96 cnf(matrix-49, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( c_ATP__Linkup_Osko__Transitive__Closure__Xirrefl__trancl__rD__1__1(__eqx_0, __eqx_1) = c_ATP__Linkup_Osko__Transitive__Closure__Xirrefl__trancl__rD__1__1(__eqy_0, __eqy_1)) )).
% 82.75/82.96 cnf(matrix-50, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( __eqx_3 != __eqy_3) | ( c_ATP__Linkup_Osko__Transitive__Closure__Xconverse__tranclE__1__1(__eqx_0, __eqx_1, __eqx_2, __eqx_3) = c_ATP__Linkup_Osko__Transitive__Closure__Xconverse__tranclE__1__1(__eqy_0, __eqy_1, __eqy_2, __eqy_3)) )).
% 82.75/82.96 cnf(matrix-51, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( __eqx_3 != __eqy_3) | ( c_ATP__Linkup_Osko__Transitive__Closure__XtranclD__1__1(__eqx_0, __eqx_1, __eqx_2, __eqx_3) = c_ATP__Linkup_Osko__Transitive__Closure__XtranclD__1__1(__eqy_0, __eqy_1, __eqy_2, __eqy_3)) )).
% 82.75/82.96 cnf(matrix-52, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( v_sko__Transitive__Closure__Xtrancl__Xcases__1(__eqx_0, __eqx_1, __eqx_2) = v_sko__Transitive__Closure__Xtrancl__Xcases__1(__eqy_0, __eqy_1, __eqy_2)) )).
% 82.75/82.96 cnf(matrix-53, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( __eqx_3 != __eqy_3) | ( c_ATP__Linkup_Osko__Transitive__Closure__XtranclE__1__1(__eqx_0, __eqx_1, __eqx_2, __eqx_3) = c_ATP__Linkup_Osko__Transitive__Closure__XtranclE__1__1(__eqy_0, __eqy_1, __eqy_2, __eqy_3)) )).
% 82.75/82.96 cnf(matrix-54, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( __eqx_3 != __eqy_3) | ( c_ATP__Linkup_Osko__Transitive__Closure__XtranclD2__1__1(__eqx_0, __eqx_1, __eqx_2, __eqx_3) = c_ATP__Linkup_Osko__Transitive__Closure__XtranclD2__1__1(__eqy_0, __eqy_1, __eqy_2, __eqy_3)) )).
% 82.75/82.96 cnf(matrix-55, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( __eqx_3 != __eqy_3) | ( __eqx_4 != __eqy_4) | ( __eqx_5 != __eqy_5) | ( __eqx_6 != __eqy_6) | ( c_ATP__Linkup_Osko__Relation__Xrel__compEpair__1__1(__eqx_0, __eqx_1, __eqx_2, __eqx_3, __eqx_4, __eqx_5, __eqx_6) = c_ATP__Linkup_Osko__Relation__Xrel__compEpair__1__1(__eqy_0, __eqy_1, __eqy_2, __eqy_3, __eqy_4, __eqy_5, __eqy_6)) )).
% 82.75/82.96 cnf(matrix-56, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( __eqx_3 != __eqy_3) | ( __eqx_4 != __eqy_4) | ( c_FuncSet_Osko__FuncSet__XPi__I__1__1(__eqx_0, __eqx_1, __eqx_2, __eqx_3, __eqx_4) = c_FuncSet_Osko__FuncSet__XPi__I__1__1(__eqy_0, __eqy_1, __eqy_2, __eqy_3, __eqy_4)) )).
% 82.75/82.96 cnf(matrix-57, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( __eqx_3 != __eqy_3) | ( __eqx_4 != __eqy_4) | ( c_FuncSet_Osko__FuncSet__XPi__I_H__1__1(__eqx_0, __eqx_1, __eqx_2, __eqx_3, __eqx_4) = c_FuncSet_Osko__FuncSet__XPi__I_H__1__1(__eqy_0, __eqy_1, __eqy_2, __eqy_3, __eqy_4)) )).
% 82.75/82.96 cnf(matrix-58, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( c_ATP__Linkup_Osko__Relation__XIdE__1__1(__eqx_0, __eqx_1) = c_ATP__Linkup_Osko__Relation__XIdE__1__1(__eqy_0, __eqy_1)) )).
% 82.75/82.96 cnf(matrix-59, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( c_ATP__Linkup_Osko__Wellfounded__Xwf__acc__iff__1__1(__eqx_0, __eqx_1) = c_ATP__Linkup_Osko__Wellfounded__Xwf__acc__iff__1__1(__eqy_0, __eqy_1)) )).
% 82.75/82.96 cnf(matrix-60, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( c_ATP__Linkup_Osko__Wellfounded__Xacc__wfI__1__1(__eqx_0, __eqx_1) = c_ATP__Linkup_Osko__Wellfounded__Xacc__wfI__1__1(__eqy_0, __eqy_1)) )).
% 82.75/82.96 cnf(matrix-61, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( c_ATP__Linkup_Osko__Relation__XId__onE__1__1(__eqx_0, __eqx_1, __eqx_2) = c_ATP__Linkup_Osko__Relation__XId__onE__1__1(__eqy_0, __eqy_1, __eqy_2)) )).
% 82.75/82.96 cnf(matrix-62, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( c_ATP__Linkup_Osko__Relation__Xirrefl__def__1__1(__eqx_0, __eqx_1) = c_ATP__Linkup_Osko__Relation__Xirrefl__def__1__1(__eqy_0, __eqy_1)) )).
% 82.75/82.96 cnf(matrix-63, plain, ( ( __eqx_0 != __eqy_0) | ( v_sko__Arrow__Order__Mirabelle__XIIA__def__2(__eqx_0) = v_sko__Arrow__Order__Mirabelle__XIIA__def__2(__eqy_0)) )).
% 82.75/82.96 cnf(matrix-64, plain, ( ( __eqx_0 != __eqy_0) | ( v_sko__Arrow__Order__Mirabelle__XIIA__def__3(__eqx_0) = v_sko__Arrow__Order__Mirabelle__XIIA__def__3(__eqy_0)) )).
% 82.75/82.96 cnf(matrix-65, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( c_Nitpick_Osko__Nitpick__Xrefl_H__def__1__1(__eqx_0, __eqx_1) = c_Nitpick_Osko__Nitpick__Xrefl_H__def__1__1(__eqy_0, __eqy_1)) )).
% 82.75/82.96 cnf(matrix-66, plain, ( ( __eqx_0 != __eqy_0) | ( v_sko__Arrow__Order__Mirabelle__Xunanimity__def__2(__eqx_0) = v_sko__Arrow__Order__Mirabelle__Xunanimity__def__2(__eqy_0)) )).
% 82.75/82.96 cnf(matrix-67, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( __eqx_3 != __eqy_3) | ( c_split(__eqx_0, __eqx_1, __eqx_2, __eqx_3) = c_split(__eqy_0, __eqy_1, __eqy_2, __eqy_3)) )).
% 82.75/82.96 cnf(matrix-68, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( __eqx_3 != __eqy_3) | ( c_ATP__Linkup_Osko__Relation__XDomainE__1__1(__eqx_0, __eqx_1, __eqx_2, __eqx_3) = c_ATP__Linkup_Osko__Relation__XDomainE__1__1(__eqy_0, __eqy_1, __eqy_2, __eqy_3)) )).
% 82.75/82.96 cnf(matrix-69, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( __eqx_3 != __eqy_3) | ( c_ATP__Linkup_Osko__Relation__XDomain__iff__1__1(__eqx_0, __eqx_1, __eqx_2, __eqx_3) = c_ATP__Linkup_Osko__Relation__XDomain__iff__1__1(__eqy_0, __eqy_1, __eqy_2, __eqy_3)) )).
% 82.75/82.96 cnf(matrix-70, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( __eqx_3 != __eqy_3) | ( c_ATP__Linkup_Osko__Relation__XRangeE__1__1(__eqx_0, __eqx_1, __eqx_2, __eqx_3) = c_ATP__Linkup_Osko__Relation__XRangeE__1__1(__eqy_0, __eqy_1, __eqy_2, __eqy_3)) )).
% 82.75/82.96 cnf(matrix-71, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( __eqx_3 != __eqy_3) | ( c_ATP__Linkup_Osko__Relation__XRange__iff__1__1(__eqx_0, __eqx_1, __eqx_2, __eqx_3) = c_ATP__Linkup_Osko__Relation__XRange__iff__1__1(__eqy_0, __eqy_1, __eqy_2, __eqy_3)) )).
% 82.75/82.96 cnf(matrix-72, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( c_Equiv__Relations_Oquotient(__eqx_0, __eqx_1, __eqx_2) = c_Equiv__Relations_Oquotient(__eqy_0, __eqy_1, __eqy_2)) )).
% 82.75/82.96 cnf(matrix-73, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( __eqx_3 != __eqy_3) | ( c_Relation_Oinv__image(__eqx_0, __eqx_1, __eqx_2, __eqx_3) = c_Relation_Oinv__image(__eqy_0, __eqy_1, __eqy_2, __eqy_3)) )).
% 82.75/82.96 cnf(matrix-74, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( c_Arrow__Order__Mirabelle_Omkbot(__eqx_0, __eqx_1) = c_Arrow__Order__Mirabelle_Omkbot(__eqy_0, __eqy_1)) )).
% 82.75/82.96 cnf(matrix-75, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( c_Arrow__Order__Mirabelle_Omktop(__eqx_0, __eqx_1) = c_Arrow__Order__Mirabelle_Omktop(__eqy_0, __eqy_1)) )).
% 82.75/82.96 cnf(matrix-76, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( v_sko__Arrow__Order__Mirabelle__Xcomplete__Lin__1(__eqx_0, __eqx_1) = v_sko__Arrow__Order__Mirabelle__Xcomplete__Lin__1(__eqy_0, __eqy_1)) )).
% 82.75/82.96 cnf(matrix-77, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( __eqx_3 != __eqy_3) | ( v_sko__Arrow__Order__Mirabelle__XIIA__def__1(__eqx_0, __eqx_1, __eqx_2, __eqx_3) = v_sko__Arrow__Order__Mirabelle__XIIA__def__1(__eqy_0, __eqy_1, __eqy_2, __eqy_3)) )).
% 82.75/82.96 cnf(matrix-78, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( v_sko__Arrow__Order__Mirabelle__Xunanimity__def__1(__eqx_0, __eqx_1, __eqx_2) = v_sko__Arrow__Order__Mirabelle__Xunanimity__def__1(__eqy_0, __eqy_1, __eqy_2)) )).
% 82.75/82.96 cnf(matrix-79, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( __eqx_3 != __eqy_3) | ( __eqx_4 != __eqy_4) | ( __eqx_5 != __eqy_5) | ( v_sko__local__X2__1(__eqx_0, __eqx_1, __eqx_2, __eqx_3, __eqx_4, __eqx_5) = v_sko__local__X2__1(__eqy_0, __eqy_1, __eqy_2, __eqy_3, __eqy_4, __eqy_5)) )).
% 82.75/82.96 cnf(matrix-80, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( __eqx_3 != __eqy_3) | ( __eqx_4 != __eqy_4) | ( __eqx_5 != __eqy_5) | ( v_sko__local__X1__1(__eqx_0, __eqx_1, __eqx_2, __eqx_3, __eqx_4, __eqx_5) = v_sko__local__X1__1(__eqy_0, __eqy_1, __eqy_2, __eqy_3, __eqy_4, __eqy_5)) )).
% 82.75/82.96 cnf(matrix-81, plain, ( ( __eqx_0 != __eqy_0) | ( v_P_H____(__eqx_0) = v_P_H____(__eqy_0)) )).
% 82.75/82.96 cnf(matrix-82, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( __eqx_3 != __eqy_3) | ( __eqx_4 != __eqy_4) | ( c_COMBC(__eqx_0, __eqx_1, __eqx_2, __eqx_3, __eqx_4) = c_COMBC(__eqy_0, __eqy_1, __eqy_2, __eqy_3, __eqy_4)) )).
% 82.75/82.96 cnf(matrix-83, plain, ( ( __eqx_0 != __eqy_0) | ~class_Lattices_Olattice(__eqx_0) | class_Lattices_Olattice(__eqy_0) )).
% 82.75/82.96 cnf(matrix-84, plain, ( ( __eqx_0 != __eqy_0) | ~class_Lattices_Oupper__semilattice(__eqx_0) | class_Lattices_Oupper__semilattice(__eqy_0) )).
% 82.75/82.96 cnf(matrix-85, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ~c_lessequals(__eqx_0, __eqx_1, __eqx_2) | c_lessequals(__eqy_0, __eqy_1, __eqy_2) )).
% 82.75/82.96 cnf(matrix-86, plain, ( ( __eqx_0 != __eqy_0) | ~class_OrderedGroup_Oab__group__add(__eqx_0) | class_OrderedGroup_Oab__group__add(__eqy_0) )).
% 82.75/82.96 cnf(matrix-87, plain, ( ( __eqx_0 != __eqy_0) | ~hBOOL(__eqx_0) | hBOOL(__eqy_0) )).
% 82.75/82.96 cnf(matrix-88, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ~c_Wellfounded_Owf(__eqx_0, __eqx_1) | c_Wellfounded_Owf(__eqy_0, __eqy_1) )).
% 82.75/82.96 cnf(matrix-89, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ~c_Relation_Orefl__on(__eqx_0, __eqx_1, __eqx_2) | c_Relation_Orefl__on(__eqy_0, __eqy_1, __eqy_2) )).
% 82.75/82.96 cnf(matrix-90, plain, ( ( __eqx_0 != __eqy_0) | ~class_Lattices_Odistrib__lattice(__eqx_0) | class_Lattices_Odistrib__lattice(__eqy_0) )).
% 82.75/82.96 cnf(matrix-91, 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) )).
% 82.75/82.96 cnf(matrix-92, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ~c_Relation_Osym(__eqx_0, __eqx_1) | c_Relation_Osym(__eqy_0, __eqy_1) )).
% 82.75/82.96 cnf(matrix-93, plain, ( ( __eqx_0 != __eqy_0) | ~class_Lattices_Olower__semilattice(__eqx_0) | class_Lattices_Olower__semilattice(__eqy_0) )).
% 82.75/82.96 cnf(matrix-94, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ~c_Wellfounded_Oacyclic(__eqx_0, __eqx_1) | c_Wellfounded_Oacyclic(__eqy_0, __eqy_1) )).
% 82.75/82.96 cnf(matrix-95, plain, ( ( __eqx_0 != __eqy_0) | ~class_Orderings_Oorder(__eqx_0) | class_Orderings_Oorder(__eqy_0) )).
% 82.75/82.96 cnf(matrix-96, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ~c_Relation_Ototal__on(__eqx_0, __eqx_1, __eqx_2) | c_Relation_Ototal__on(__eqy_0, __eqy_1, __eqy_2) )).
% 82.75/82.96 cnf(matrix-97, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ~c_Order__Relation_Ostrict__linear__order__on(__eqx_0, __eqx_1, __eqx_2) | c_Order__Relation_Ostrict__linear__order__on(__eqy_0, __eqy_1, __eqy_2) )).
% 82.75/82.96 cnf(matrix-98, plain, ( ( __eqx_0 != __eqy_0) | ~class_HOL_Oord(__eqx_0) | class_HOL_Oord(__eqy_0) )).
% 82.75/82.96 cnf(matrix-99, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ~c_Relation_Oirrefl(__eqx_0, __eqx_1) | c_Relation_Oirrefl(__eqy_0, __eqy_1) )).
% 82.75/82.96 cnf(matrix-100, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ~c_Relation_Otrans(__eqx_0, __eqx_1) | c_Relation_Otrans(__eqy_0, __eqy_1) )).
% 82.75/82.96 cnf(matrix-101, plain, ( ( __eqx_0 != __eqy_0) | ~class_Orderings_Opreorder(__eqx_0) | class_Orderings_Opreorder(__eqy_0) )).
% 82.75/82.96 cnf(matrix-102, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ~c_Relation_Oantisym(__eqx_0, __eqx_1) | c_Relation_Oantisym(__eqy_0, __eqy_1) )).
% 82.75/82.96 cnf(matrix-103, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ~c_Relation_Osingle__valued(__eqx_0, __eqx_1, __eqx_2) | c_Relation_Osingle__valued(__eqy_0, __eqy_1, __eqy_2) )).
% 82.75/82.96 cnf(matrix-104, plain, ( ( __eqx_0 != __eqy_0) | ~class_OrderedGroup_Opordered__ab__group__add(__eqx_0) | class_OrderedGroup_Opordered__ab__group__add(__eqy_0) )).
% 82.75/82.96 cnf(matrix-105, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ~c_Equiv__Relations_Oequiv(__eqx_0, __eqx_1, __eqx_2) | c_Equiv__Relations_Oequiv(__eqy_0, __eqy_1, __eqy_2) )).
% 82.75/82.96 cnf(matrix-106, plain, ( ( __eqx_0 != __eqy_0) | ~class_Orderings_Olinorder(__eqx_0) | class_Orderings_Olinorder(__eqy_0) )).
% 82.75/82.96 cnf(matrix-107, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ~c_Arrow__Order__Mirabelle_Odictator(__eqx_0, __eqx_1) | c_Arrow__Order__Mirabelle_Odictator(__eqy_0, __eqy_1) )).
% 82.75/82.96 cnf(matrix-108, plain, ( ( __eqx_0 != __eqy_0) | ~c_Arrow__Order__Mirabelle_OIIA(__eqx_0) | c_Arrow__Order__Mirabelle_OIIA(__eqy_0) )).
% 82.75/82.96 cnf(matrix-109, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ~c_Nitpick_Orefl_H(__eqx_0, __eqx_1) | c_Nitpick_Orefl_H(__eqy_0, __eqy_1) )).
% 82.75/82.96 cnf(matrix-110, plain, ( ( __eqx_0 != __eqy_0) | ~c_Arrow__Order__Mirabelle_Ounanimity(__eqx_0) | c_Arrow__Order__Mirabelle_Ounanimity(__eqy_0) )).
% 82.75/82.96 cnf(matrix-111, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( __eqx_3 != __eqy_3) | ~c_Equiv__Relations_Ocongruent(__eqx_0, __eqx_1, __eqx_2, __eqx_3) | c_Equiv__Relations_Ocongruent(__eqy_0, __eqy_1, __eqy_2, __eqy_3) )).
% 82.75/82.96 cnf(matrix-112, 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_Equiv__Relations_Ocongruent2(__eqx_0, __eqx_1, __eqx_2, __eqx_3, __eqx_4, __eqx_5) | c_Equiv__Relations_Ocongruent2(__eqy_0, __eqy_1, __eqy_2, __eqy_3, __eqy_4, __eqy_5) )).
% 82.75/82.96 cnf(matrix-113, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( __eqx_3 != __eqy_3) | ( __eqx_4 != __eqy_4) | ~c_FunDef_Oin__rel(__eqx_0, __eqx_1, __eqx_2, __eqx_3, __eqx_4) | c_FunDef_Oin__rel(__eqy_0, __eqy_1, __eqy_2, __eqy_3, __eqy_4) )).
% 82.75/82.96 cnf(matrix-114, 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) )).
% 82.75/82.96 cnf(matrix-115, plain, ( ~class_Lattices_Olattice(T_a) | ( c_Lattices_Oupper__semilattice__class_Osup(c_Lattices_Oupper__semilattice__class_Osup(V_x, V_y, T_a), V_z, T_a) = c_Lattices_Oupper__semilattice__class_Osup(V_x, c_Lattices_Oupper__semilattice__class_Osup(V_y, V_z, T_a), T_a)) )).
% 82.75/82.96 cnf(matrix-116, plain, ( ~class_Lattices_Olattice(T_a) | ( c_Lattices_Oupper__semilattice__class_Osup(V_x, c_Lattices_Oupper__semilattice__class_Osup(V_y, V_z, T_a), T_a) = c_Lattices_Oupper__semilattice__class_Osup(V_y, c_Lattices_Oupper__semilattice__class_Osup(V_x, V_z, T_a), T_a)) )).
% 82.75/82.96 cnf(matrix-117, plain, ( ~class_Lattices_Oupper__semilattice(T_a) | ( c_Lattices_Oupper__semilattice__class_Osup(V_x, c_Lattices_Oupper__semilattice__class_Osup(V_y, V_z, T_a), T_a) = c_Lattices_Oupper__semilattice__class_Osup(V_y, c_Lattices_Oupper__semilattice__class_Osup(V_x, V_z, T_a), T_a)) )).
% 82.75/82.96 cnf(matrix-118, plain, ( ~class_Lattices_Oupper__semilattice(T_a) | ( c_Lattices_Oupper__semilattice__class_Osup(c_Lattices_Oupper__semilattice__class_Osup(V_x, V_y, T_a), V_z, T_a) = c_Lattices_Oupper__semilattice__class_Osup(V_x, c_Lattices_Oupper__semilattice__class_Osup(V_y, V_z, T_a), T_a)) )).
% 82.75/82.96 cnf(matrix-119, plain, ( ( c_Lattices_Oupper__semilattice__class_Osup(c_Lattices_Oupper__semilattice__class_Osup(V_A, V_B, tc_fun(T_a, tc_bool)), V_C, tc_fun(T_a, tc_bool)) = c_Lattices_Oupper__semilattice__class_Osup(V_A, c_Lattices_Oupper__semilattice__class_Osup(V_B, V_C, tc_fun(T_a, tc_bool)), tc_fun(T_a, tc_bool))) )).
% 82.75/82.96 cnf(matrix-120, plain, ( ( c_Lattices_Oupper__semilattice__class_Osup(V_A, c_Lattices_Oupper__semilattice__class_Osup(V_B, V_C, tc_fun(T_a, tc_bool)), tc_fun(T_a, tc_bool)) = c_Lattices_Oupper__semilattice__class_Osup(V_B, c_Lattices_Oupper__semilattice__class_Osup(V_A, V_C, tc_fun(T_a, tc_bool)), tc_fun(T_a, tc_bool))) )).
% 82.75/82.96 cnf(matrix-121, plain, ( c_lessequals(c_HOL_Ominus__class_Ominus(c_Set_Oimage(V_f, V_A, T_b, T_a), c_Set_Oimage(V_f, V_B, T_b, T_a), tc_fun(T_a, tc_bool)), c_Set_Oimage(V_f, c_HOL_Ominus__class_Ominus(V_A, V_B, tc_fun(T_b, tc_bool)), T_b, T_a), tc_fun(T_a, tc_bool)) )).
% 82.75/82.96 cnf(matrix-122, 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) )).
% 82.75/82.96 cnf(matrix-123, 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) )).
% 82.75/82.96 cnf(matrix-124, plain, ( c_lessequals(c_Relation_OImage(V_r, V_C, T_a, T_b), V_B, tc_fun(T_b, tc_bool)) | ~c_lessequals(V_r, c_Product__Type_OSigma(V_A, c_COMBK(V_B, tc_fun(T_b, tc_bool), T_a), T_a, T_b), tc_fun(tc_prod(T_a, T_b), tc_bool)) )).
% 82.75/82.96 cnf(matrix-125, 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))) )).
% 82.75/82.96 cnf(matrix-126, plain, ( ( hAPP(c_COMBK(V_P, T_a, T_b), V_Q) = V_P) )).
% 82.75/82.96 cnf(matrix-127, 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)) )).
% 82.75/82.96 cnf(matrix-128, plain, ( hBOOL(hAPP(V_P, V_Rb)) | ~hBOOL(hAPP(V_P, c_List_Osko__Recdef__Xtfl__wf__induct__1__1(V_P, V_R, T_a))) | ~c_Wellfounded_Owf(V_R, T_a) )).
% 82.75/82.96 cnf(matrix-129, plain, ( ( c_Relation_OImage(V_R, c_Lattices_Oupper__semilattice__class_Osup(V_A, V_B, tc_fun(T_b, tc_bool)), T_b, T_a) = c_Lattices_Oupper__semilattice__class_Osup(c_Relation_OImage(V_R, V_A, T_b, T_a), c_Relation_OImage(V_R, V_B, T_b, T_a), tc_fun(T_a, tc_bool))) )).
% 82.75/82.96 cnf(matrix-130, plain, ( ( c_Relation_OImage(c_Lattices_Oupper__semilattice__class_Osup(V_R, V_S, tc_fun(tc_prod(T_b, T_a), tc_bool)), V_A, T_b, T_a) = c_Lattices_Oupper__semilattice__class_Osup(c_Relation_OImage(V_R, V_A, T_b, T_a), c_Relation_OImage(V_S, V_A, T_b, T_a), tc_fun(T_a, tc_bool))) )).
% 82.75/82.96 cnf(matrix-131, plain, ( c_lessequals(c_Relation_Orel__comp(V_r_H, V_s_H, T_a, T_b, T_c), c_Relation_Orel__comp(V_r, V_s, T_a, T_b, T_c), tc_fun(tc_prod(T_a, T_c), tc_bool)) | ~c_lessequals(V_s_H, V_s, tc_fun(tc_prod(T_b, T_c), tc_bool)) | ~c_lessequals(V_r_H, V_r, tc_fun(tc_prod(T_a, T_b), tc_bool)) )).
% 82.75/82.96 cnf(matrix-132, plain, ( ~class_Lattices_Oupper__semilattice(T_a) | ( c_Lattices_Oupper__semilattice__class_Osup(V_x, V_x, T_a) = V_x) )).
% 82.75/82.96 cnf(matrix-133, plain, ( ( c_Lattices_Oupper__semilattice__class_Osup(V_A, V_A, tc_fun(T_a, tc_bool)) = V_A) )).
% 82.75/82.96 cnf(matrix-134, plain, ( c_lessequals(V_r, c_Product__Type_OSigma(V_A, c_COMBK(V_A, tc_fun(T_a, tc_bool), T_a), T_a, T_a), tc_fun(tc_prod(T_a, T_a), tc_bool)) | ~c_Relation_Orefl__on(V_A, V_r, T_a) )).
% 82.75/82.96 cnf(matrix-135, plain, ( c_lessequals(c_Relation_OId__on(V_A, T_a), c_Product__Type_OSigma(V_A, c_COMBK(V_A, tc_fun(T_a, tc_bool), T_a), T_a, T_a), tc_fun(tc_prod(T_a, T_a), tc_bool)) )).
% 82.75/82.96 cnf(matrix-136, plain, ( ~class_Lattices_Odistrib__lattice(T_a) | ( c_Lattices_Olower__semilattice__class_Oinf(c_Lattices_Oupper__semilattice__class_Osup(V_y, V_z, T_a), V_x, T_a) = c_Lattices_Oupper__semilattice__class_Osup(c_Lattices_Olower__semilattice__class_Oinf(V_y, V_x, T_a), c_Lattices_Olower__semilattice__class_Oinf(V_z, V_x, T_a), T_a)) )).
% 82.75/82.96 cnf(matrix-137, plain, ( ~class_Lattices_Odistrib__lattice(T_a) | ( c_Lattices_Olower__semilattice__class_Oinf(V_x, c_Lattices_Oupper__semilattice__class_Osup(V_y, V_z, T_a), T_a) = c_Lattices_Oupper__semilattice__class_Osup(c_Lattices_Olower__semilattice__class_Oinf(V_x, V_y, T_a), c_Lattices_Olower__semilattice__class_Oinf(V_x, V_z, T_a), T_a)) )).
% 82.75/82.96 cnf(matrix-138, plain, ( ( c_Lattices_Olower__semilattice__class_Oinf(V_A, c_Lattices_Oupper__semilattice__class_Osup(V_B, V_C, tc_fun(T_a, tc_bool)), tc_fun(T_a, tc_bool)) = c_Lattices_Oupper__semilattice__class_Osup(c_Lattices_Olower__semilattice__class_Oinf(V_A, V_B, tc_fun(T_a, tc_bool)), c_Lattices_Olower__semilattice__class_Oinf(V_A, V_C, tc_fun(T_a, tc_bool)), tc_fun(T_a, tc_bool))) )).
% 82.75/82.96 cnf(matrix-139, plain, ( ( c_Lattices_Olower__semilattice__class_Oinf(c_Lattices_Oupper__semilattice__class_Osup(V_B, V_C, tc_fun(T_a, tc_bool)), V_A, tc_fun(T_a, tc_bool)) = c_Lattices_Oupper__semilattice__class_Osup(c_Lattices_Olower__semilattice__class_Oinf(V_B, V_A, tc_fun(T_a, tc_bool)), c_Lattices_Olower__semilattice__class_Oinf(V_C, V_A, tc_fun(T_a, tc_bool)), tc_fun(T_a, tc_bool))) )).
% 82.75/82.96 cnf(matrix-140, plain, ( c_lessequals(c_HOL_Ominus__class_Ominus(c_Relation_ODomain(V_A, T_a, T_b), c_Relation_ODomain(V_B, T_a, T_b), tc_fun(T_a, tc_bool)), c_Relation_ODomain(c_HOL_Ominus__class_Ominus(V_A, V_B, tc_fun(tc_prod(T_a, T_b), tc_bool)), T_a, T_b), tc_fun(T_a, tc_bool)) )).
% 82.75/82.96 cnf(matrix-141, plain, ( c_in(hAPP(V_f, V_x), V_B, T_a) | ~c_in(V_x, V_A, T_b) | ~c_lessequals(c_Set_Oimage(V_f, V_A, T_b, T_a), V_B, tc_fun(T_a, tc_bool)) )).
% 82.75/82.96 cnf(matrix-142, plain, ( c_lessequals(V_A, V_B, tc_fun(T_b, tc_bool)) | ~c_lessequals(c_Product__Type_OSigma(V_A, c_COMBK(V_C, tc_fun(T_a, tc_bool), T_b), T_b, T_a), c_Product__Type_OSigma(V_B, c_COMBK(V_C, tc_fun(T_a, tc_bool), T_b), T_b, T_a), tc_fun(tc_prod(T_b, T_a), tc_bool)) | ~c_in(V_x, V_C, T_a) )).
% 82.75/82.96 cnf(matrix-143, plain, ( c_lessequals(c_Product__Type_OSigma(V_A, c_COMBK(V_C, tc_fun(T_a, tc_bool), T_b), T_b, T_a), c_Product__Type_OSigma(V_B, c_COMBK(V_C, tc_fun(T_a, tc_bool), T_b), T_b, T_a), tc_fun(tc_prod(T_b, T_a), tc_bool)) | ~c_lessequals(V_A, V_B, tc_fun(T_b, tc_bool)) | ~c_in(V_x, V_C, T_a) )).
% 82.75/82.96 cnf(matrix-144, 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))) | ~c_in(V_x, V_B, T_a) )).
% 82.75/82.96 cnf(matrix-145, plain, ( c_lessequals(V_A, V_B, tc_fun(T_a, tc_bool)) | ~c_lessequals(c_Set_Oinsert(V_x, V_A, T_a), V_B, tc_fun(T_a, tc_bool)) )).
% 82.75/82.96 cnf(matrix-146, plain, ( c_lessequals(V_A, c_Set_Oinsert(V_b, V_B, T_a), tc_fun(T_a, tc_bool)) | ~c_lessequals(V_A, V_B, tc_fun(T_a, tc_bool)) )).
% 82.75/82.96 cnf(matrix-147, plain, ( c_lessequals(c_HOL_Ominus__class_Ominus(c_Relation_ORange(V_A, T_b, T_a), c_Relation_ORange(V_B, T_b, T_a), tc_fun(T_a, tc_bool)), c_Relation_ORange(c_HOL_Ominus__class_Ominus(V_A, V_B, tc_fun(tc_prod(T_b, T_a), tc_bool)), T_b, T_a), tc_fun(T_a, tc_bool)) )).
% 82.75/82.96 cnf(matrix-148, plain, ( hBOOL(hAPP(V_P, V_a)) | ~hBOOL(hAPP(V_P, c_ATP__Linkup_Osko__Wellfounded__Xwf__induct__1__1(V_P, V_r, T_a))) | ~c_Wellfounded_Owf(V_r, T_a) )).
% 82.75/82.96 cnf(matrix-149, plain, ( c_lessequals(c_Lattices_Oupper__semilattice__class_Osup(c_Transitive__Closure_Ortrancl(V_R, T_a), c_Transitive__Closure_Ortrancl(V_S, T_a), tc_fun(tc_prod(T_a, T_a), tc_bool)), c_Transitive__Closure_Ortrancl(c_Lattices_Oupper__semilattice__class_Osup(V_R, V_S, tc_fun(tc_prod(T_a, T_a), tc_bool)), T_a), tc_fun(tc_prod(T_a, T_a), tc_bool)) )).
% 82.75/82.96 cnf(matrix-150, plain, ( ( c_Lattices_Oupper__semilattice__class_Osup(c_Set_Oinsert(V_a, V_B, T_a), V_C, tc_fun(T_a, tc_bool)) = c_Set_Oinsert(V_a, c_Lattices_Oupper__semilattice__class_Osup(V_B, V_C, tc_fun(T_a, tc_bool)), T_a)) )).
% 82.75/82.96 cnf(matrix-151, plain, ( ( c_Lattices_Oupper__semilattice__class_Osup(V_A, c_Set_Oinsert(V_a, V_B, T_a), tc_fun(T_a, tc_bool)) = c_Set_Oinsert(V_a, c_Lattices_Oupper__semilattice__class_Osup(V_A, V_B, tc_fun(T_a, tc_bool)), T_a)) )).
% 82.75/82.96 cnf(matrix-152, plain, ( ( c_Lattices_Olower__semilattice__class_Oinf(c_Set_Oinsert(V_a, V_A, T_a), c_Set_Oinsert(V_a, V_B, T_a), tc_fun(T_a, tc_bool)) = c_Set_Oinsert(V_a, c_Lattices_Olower__semilattice__class_Oinf(V_A, V_B, tc_fun(T_a, tc_bool)), T_a)) )).
% 82.75/82.96 cnf(matrix-153, 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)) )).
% 82.75/82.96 cnf(matrix-154, plain, ( hBOOL(hAPP(V_A, V_x)) | ( V_y = V_x) | ~hBOOL(hAPP(c_Set_Oinsert(V_y, V_A, T_a), V_x)) )).
% 82.75/82.96 cnf(matrix-155, plain, ( ( c_Relation_ODomain(c_Set_Oinsert(c_Pair(V_a, V_b, T_a, T_b), V_r, tc_prod(T_a, T_b)), T_a, T_b) = c_Set_Oinsert(V_a, c_Relation_ODomain(V_r, T_a, T_b), T_a)) )).
% 82.75/82.96 cnf(matrix-156, plain, ( c_Relation_Osym(c_Lattices_Oupper__semilattice__class_Osup(V_r, V_s, tc_fun(tc_prod(T_a, T_a), tc_bool)), T_a) | ~c_Relation_Osym(V_s, T_a) | ~c_Relation_Osym(V_r, T_a) )).
% 82.75/82.96 cnf(matrix-157, plain, ( c_lessequals(c_Transitive__Closure_Ortrancl(V_r, T_a), c_Transitive__Closure_Ortrancl(V_s, T_a), tc_fun(tc_prod(T_a, T_a), tc_bool)) | ~c_lessequals(V_r, V_s, tc_fun(tc_prod(T_a, T_a), tc_bool)) )).
% 82.75/82.96 cnf(matrix-158, plain, ( c_lessequals(V_B, c_Set_Oinsert(V_a, V_B, T_a), tc_fun(T_a, tc_bool)) )).
% 82.75/82.96 cnf(matrix-159, plain, ( c_lessequals(c_Set_Oimage(V_f, c_Lattices_Olower__semilattice__class_Oinf(V_A, V_B, tc_fun(T_b, tc_bool)), T_b, T_a), c_Lattices_Olower__semilattice__class_Oinf(c_Set_Oimage(V_f, V_A, T_b, T_a), c_Set_Oimage(V_f, V_B, T_b, T_a), tc_fun(T_a, tc_bool)), tc_fun(T_a, tc_bool)) )).
% 82.75/82.96 cnf(matrix-160, plain, ( c_lessequals(c_Relation_OImage(V_R, c_Lattices_Olower__semilattice__class_Oinf(V_A, V_B, tc_fun(T_b, tc_bool)), T_b, T_a), c_Lattices_Olower__semilattice__class_Oinf(c_Relation_OImage(V_R, V_A, T_b, T_a), c_Relation_OImage(V_R, V_B, T_b, T_a), tc_fun(T_a, tc_bool)), tc_fun(T_a, tc_bool)) )).
% 82.75/82.96 cnf(matrix-161, plain, ( ( c_Lattices_Oupper__semilattice__class_Osup(c_Lattices_Olower__semilattice__class_Oinf(V_A, V_B, tc_fun(T_a, tc_bool)), V_C, tc_fun(T_a, tc_bool)) != c_Lattices_Olower__semilattice__class_Oinf(V_A, c_Lattices_Oupper__semilattice__class_Osup(V_B, V_C, tc_fun(T_a, tc_bool)), tc_fun(T_a, tc_bool))) | c_lessequals(V_C, V_A, tc_fun(T_a, tc_bool)) )).
% 82.75/82.96 cnf(matrix-162, plain, ( ( c_Lattices_Oupper__semilattice__class_Osup(c_Lattices_Olower__semilattice__class_Oinf(V_A, V_B, tc_fun(T_a, tc_bool)), V_C, tc_fun(T_a, tc_bool)) = c_Lattices_Olower__semilattice__class_Oinf(V_A, c_Lattices_Oupper__semilattice__class_Osup(V_B, V_C, tc_fun(T_a, tc_bool)), tc_fun(T_a, tc_bool))) | ~c_lessequals(V_C, V_A, tc_fun(T_a, tc_bool)) )).
% 82.75/82.96 cnf(matrix-163, plain, ( ( c_Product__Type_OSigma(c_HOL_Ominus__class_Ominus(V_I, V_J, tc_fun(T_a, tc_bool)), V_C, T_a, T_b) = c_HOL_Ominus__class_Ominus(c_Product__Type_OSigma(V_I, V_C, T_a, T_b), c_Product__Type_OSigma(V_J, V_C, T_a, T_b), tc_fun(tc_prod(T_a, T_b), tc_bool))) )).
% 82.75/82.96 cnf(matrix-164, plain, ( c_lessequals(c_Relation_Orel__comp(V_r, V_s, T_a, T_b, T_c), c_Product__Type_OSigma(V_A, c_COMBK(V_C, tc_fun(T_c, tc_bool), T_a), T_a, T_c), tc_fun(tc_prod(T_a, T_c), tc_bool)) | ~c_lessequals(V_s, c_Product__Type_OSigma(V_B, c_COMBK(V_C, tc_fun(T_c, tc_bool), T_b), T_b, T_c), tc_fun(tc_prod(T_b, T_c), tc_bool)) | ~c_lessequals(V_r, c_Product__Type_OSigma(V_A, c_COMBK(V_B, tc_fun(T_b, tc_bool), T_a), T_a, T_b), tc_fun(tc_prod(T_a, T_b), tc_bool)) )).
% 82.75/82.96 cnf(matrix-165, plain, ( c_Wellfounded_Owf(c_Lattices_Oupper__semilattice__class_Osup(V_R, V_S, tc_fun(tc_prod(T_a, T_a), tc_bool)), T_a) | ~c_lessequals(c_Relation_Orel__comp(V_R, V_S, T_a, T_a, T_a), V_R, tc_fun(tc_prod(T_a, T_a), tc_bool)) | ~c_Wellfounded_Owf(V_S, T_a) | ~c_Wellfounded_Owf(V_R, T_a) )).
% 82.75/82.96 cnf(matrix-166, plain, ( hBOOL(hAPP(V_B, V_x)) | hBOOL(hAPP(V_A, V_x)) | ~hBOOL(hAPP(c_Lattices_Oupper__semilattice__class_Osup(V_A, V_B, tc_fun(T_a, tc_bool)), V_x)) )).
% 82.75/82.96 cnf(matrix-167, plain, ( hBOOL(hAPP(c_Lattices_Oupper__semilattice__class_Osup(V_A, V_B, tc_fun(T_a, tc_bool)), V_x)) | ~hBOOL(hAPP(V_B, V_x)) )).
% 82.75/82.96 cnf(matrix-168, plain, ( hBOOL(hAPP(c_Lattices_Oupper__semilattice__class_Osup(V_A, V_B, tc_fun(T_a, tc_bool)), V_x)) | ~hBOOL(hAPP(V_A, V_x)) )).
% 82.75/82.96 cnf(matrix-169, plain, ( c_Relation_Orefl__on(c_Lattices_Oupper__semilattice__class_Osup(V_A, V_B, tc_fun(T_a, tc_bool)), c_Lattices_Oupper__semilattice__class_Osup(V_r, V_s, tc_fun(tc_prod(T_a, T_a), tc_bool)), T_a) | ~c_Relation_Orefl__on(V_B, V_s, T_a) | ~c_Relation_Orefl__on(V_A, V_r, T_a) )).
% 82.75/82.96 cnf(matrix-170, plain, ( ~class_Lattices_Olattice(T_a) | ( c_Lattices_Olower__semilattice__class_Oinf(c_Lattices_Olower__semilattice__class_Oinf(V_x, V_y, T_a), V_z, T_a) = c_Lattices_Olower__semilattice__class_Oinf(V_x, c_Lattices_Olower__semilattice__class_Oinf(V_y, V_z, T_a), T_a)) )).
% 82.75/82.96 cnf(matrix-171, plain, ( ~class_Lattices_Olattice(T_a) | ( c_Lattices_Olower__semilattice__class_Oinf(V_x, c_Lattices_Olower__semilattice__class_Oinf(V_y, V_z, T_a), T_a) = c_Lattices_Olower__semilattice__class_Oinf(V_y, c_Lattices_Olower__semilattice__class_Oinf(V_x, V_z, T_a), T_a)) )).
% 82.75/82.96 cnf(matrix-172, plain, ( ~class_Lattices_Olower__semilattice(T_a) | ( c_Lattices_Olower__semilattice__class_Oinf(V_x, c_Lattices_Olower__semilattice__class_Oinf(V_y, V_z, T_a), T_a) = c_Lattices_Olower__semilattice__class_Oinf(V_y, c_Lattices_Olower__semilattice__class_Oinf(V_x, V_z, T_a), T_a)) )).
% 82.75/82.96 cnf(matrix-173, plain, ( ~class_Lattices_Olower__semilattice(T_a) | ( c_Lattices_Olower__semilattice__class_Oinf(c_Lattices_Olower__semilattice__class_Oinf(V_x, V_y, T_a), V_z, T_a) = c_Lattices_Olower__semilattice__class_Oinf(V_x, c_Lattices_Olower__semilattice__class_Oinf(V_y, V_z, T_a), T_a)) )).
% 82.75/82.96 cnf(matrix-174, plain, ( ( c_Lattices_Olower__semilattice__class_Oinf(c_Lattices_Olower__semilattice__class_Oinf(V_A, V_B, tc_fun(T_a, tc_bool)), V_C, tc_fun(T_a, tc_bool)) = c_Lattices_Olower__semilattice__class_Oinf(V_A, c_Lattices_Olower__semilattice__class_Oinf(V_B, V_C, tc_fun(T_a, tc_bool)), tc_fun(T_a, tc_bool))) )).
% 82.75/82.96 cnf(matrix-175, plain, ( ( c_Lattices_Olower__semilattice__class_Oinf(V_A, c_Lattices_Olower__semilattice__class_Oinf(V_B, V_C, tc_fun(T_a, tc_bool)), tc_fun(T_a, tc_bool)) = c_Lattices_Olower__semilattice__class_Oinf(V_B, c_Lattices_Olower__semilattice__class_Oinf(V_A, V_C, tc_fun(T_a, tc_bool)), tc_fun(T_a, tc_bool))) )).
% 82.75/82.96 cnf(matrix-176, plain, ( ( c_Product__Type_OSigma(c_Set_Oinsert(V_a, V_A, T_a), c_COMBK(c_Set_Oinsert(V_b, V_B, T_b), tc_fun(T_b, tc_bool), T_a), T_a, T_b) = c_Set_Oinsert(c_Pair(V_a, V_b, T_a, T_b), c_Lattices_Oupper__semilattice__class_Osup(c_Product__Type_OSigma(V_A, c_COMBK(c_Set_Oinsert(V_b, V_B, T_b), tc_fun(T_b, tc_bool), T_a), T_a, T_b), c_Product__Type_OSigma(c_Set_Oinsert(V_a, V_A, T_a), c_COMBK(V_B, tc_fun(T_b, tc_bool), T_a), T_a, T_b), tc_fun(tc_prod(T_a, T_b), tc_bool)), tc_prod(T_a, T_b))) )).
% 82.75/82.96 cnf(matrix-177, plain, ( ( c_Lattices_Olower__semilattice__class_Oinf(V_C, c_HOL_Ominus__class_Ominus(V_A, V_B, tc_fun(T_a, tc_bool)), tc_fun(T_a, tc_bool)) = c_HOL_Ominus__class_Ominus(c_Lattices_Olower__semilattice__class_Oinf(V_C, V_A, tc_fun(T_a, tc_bool)), c_Lattices_Olower__semilattice__class_Oinf(V_C, V_B, tc_fun(T_a, tc_bool)), tc_fun(T_a, tc_bool))) )).
% 82.75/82.96 cnf(matrix-178, plain, ( ( c_Lattices_Olower__semilattice__class_Oinf(c_HOL_Ominus__class_Ominus(V_A, V_B, tc_fun(T_a, tc_bool)), V_C, tc_fun(T_a, tc_bool)) = c_HOL_Ominus__class_Ominus(c_Lattices_Olower__semilattice__class_Oinf(V_A, V_C, tc_fun(T_a, tc_bool)), c_Lattices_Olower__semilattice__class_Oinf(V_B, V_C, tc_fun(T_a, tc_bool)), tc_fun(T_a, tc_bool))) )).
% 82.75/82.96 cnf(matrix-179, plain, ( c_lessequals(c_HOL_Ominus__class_Ominus(V_A, V_B, tc_fun(T_a, tc_bool)), c_HOL_Ominus__class_Ominus(V_C, V_D, tc_fun(T_a, tc_bool)), tc_fun(T_a, tc_bool)) | ~c_lessequals(V_D, V_B, tc_fun(T_a, tc_bool)) | ~c_lessequals(V_A, V_C, tc_fun(T_a, tc_bool)) )).
% 82.75/82.96 cnf(matrix-180, plain, ( ~class_Lattices_Olattice(T_a) | c_lessequals(c_Lattices_Oupper__semilattice__class_Osup(V_x, c_Lattices_Olower__semilattice__class_Oinf(V_y, V_z, T_a), T_a), c_Lattices_Olower__semilattice__class_Oinf(c_Lattices_Oupper__semilattice__class_Osup(V_x, V_y, T_a), c_Lattices_Oupper__semilattice__class_Osup(V_x, V_z, T_a), T_a), T_a) )).
% 82.75/82.96 cnf(matrix-181, plain, ( ( c_HOL_Ominus__class_Ominus(c_Lattices_Olower__semilattice__class_Oinf(V_A, V_C, tc_fun(T_a, tc_bool)), c_Lattices_Olower__semilattice__class_Oinf(V_B, V_C, tc_fun(T_a, tc_bool)), tc_fun(T_a, tc_bool)) = c_HOL_Ominus__class_Ominus(c_Lattices_Olower__semilattice__class_Oinf(V_A, V_C, tc_fun(T_a, tc_bool)), V_B, tc_fun(T_a, tc_bool))) )).
% 82.75/82.96 cnf(matrix-182, plain, ( ~class_Lattices_Olattice(T_a) | ( c_Lattices_Oupper__semilattice__class_Osup(V_x, c_Lattices_Olower__semilattice__class_Oinf(V_x, V_y, T_a), T_a) = V_x) )).
% 82.75/82.96 cnf(matrix-183, plain, ( hBOOL(hAPP(V_P, V_xb)) | ~hBOOL(hAPP(V_P, c_ATP__Linkup_Osko__Wellfounded__Xwf__def__1__1(V_P, V_r, T_a))) | ~c_Wellfounded_Owf(V_r, T_a) )).
% 82.75/82.96 cnf(matrix-184, plain, ( c_Wellfounded_Oacyclic(V_r, T_a) | ~c_Wellfounded_Oacyclic(c_Relation_Oconverse(V_r, T_a, T_a), T_a) )).
% 82.75/82.96 cnf(matrix-185, plain, ( c_Wellfounded_Oacyclic(c_Relation_Oconverse(V_r, T_a, T_a), T_a) | ~c_Wellfounded_Oacyclic(V_r, T_a) )).
% 82.75/82.96 cnf(matrix-186, plain, ( ( V_A = V_B) | ~c_lessequals(V_B, V_A, tc_fun(T_a, tc_bool)) | ~c_lessequals(V_A, V_B, tc_fun(T_a, tc_bool)) )).
% 82.75/82.96 cnf(matrix-187, plain, ( ( V_A = V_B) | ~c_lessequals(V_B, V_A, tc_fun(T_a, tc_bool)) | ~c_lessequals(V_A, V_B, tc_fun(T_a, tc_bool)) )).
% 82.75/82.96 cnf(matrix-188, plain, ( ~class_Orderings_Oorder(T_a) | ( V_x = V_y) | ~c_lessequals(V_y, V_x, T_a) | ~c_lessequals(V_x, V_y, T_a) )).
% 82.75/82.96 cnf(matrix-189, plain, ( ~class_Orderings_Oorder(T_a) | ( V_x = V_y) | ~c_lessequals(V_y, V_x, T_a) | ~c_lessequals(V_x, V_y, T_a) )).
% 82.75/82.96 cnf(matrix-190, plain, ( ~class_Orderings_Oorder(T_a) | ( V_x = V_y) | ~c_lessequals(V_x, V_y, T_a) | ~c_lessequals(V_y, V_x, T_a) )).
% 82.75/82.96 cnf(matrix-191, plain, ( ~class_Lattices_Olattice(T_a) | ( c_Lattices_Olower__semilattice__class_Oinf(V_x, c_Lattices_Oupper__semilattice__class_Osup(V_x, V_y, T_a), T_a) = V_x) )).
% 82.75/82.96 cnf(matrix-192, plain, ( ( c_Lattices_Oupper__semilattice__class_Osup(c_HOL_Ominus__class_Ominus(V_A, V_B, tc_fun(T_a, tc_bool)), c_Lattices_Olower__semilattice__class_Oinf(V_A, V_B, tc_fun(T_a, tc_bool)), tc_fun(T_a, tc_bool)) = V_A) )).
% 82.75/82.96 cnf(matrix-193, plain, ( ~class_Lattices_Oupper__semilattice(T_a) | ( c_Lattices_Oupper__semilattice__class_Osup(V_x, V_y, T_a) = V_x) | ~c_lessequals(V_y, V_x, T_a) )).
% 82.75/82.96 cnf(matrix-194, plain, ( ~class_Lattices_Oupper__semilattice(T_a) | ( c_Lattices_Oupper__semilattice__class_Osup(V_x, V_y, T_a) != V_y) | c_lessequals(V_x, V_y, T_a) )).
% 82.75/82.96 cnf(matrix-195, plain, ( ~class_Lattices_Oupper__semilattice(T_a) | ( c_Lattices_Oupper__semilattice__class_Osup(V_x, V_y, T_a) = V_y) | ~c_lessequals(V_x, V_y, T_a) )).
% 82.75/82.96 cnf(matrix-196, plain, ( ( c_Lattices_Oupper__semilattice__class_Osup(V_A, V_B, tc_fun(T_a, tc_bool)) = V_B) | ~c_lessequals(V_A, V_B, tc_fun(T_a, tc_bool)) )).
% 82.75/82.96 cnf(matrix-197, plain, ( ( c_Lattices_Oupper__semilattice__class_Osup(V_A, V_B, tc_fun(T_a, tc_bool)) = V_A) | ~c_lessequals(V_B, V_A, tc_fun(T_a, tc_bool)) )).
% 82.75/82.96 cnf(matrix-198, plain, ( ( c_Lattices_Oupper__semilattice__class_Osup(V_A, V_B, tc_fun(T_a, tc_bool)) != V_B) | c_lessequals(V_A, V_B, tc_fun(T_a, tc_bool)) )).
% 82.75/82.96 cnf(matrix-199, plain, ( c_lessequals(c_Transitive__Closure_Otrancl(V_r, T_a), c_Product__Type_OSigma(V_A, c_COMBK(V_A, tc_fun(T_a, tc_bool), T_a), T_a, T_a), tc_fun(tc_prod(T_a, T_a), tc_bool)) | ~c_lessequals(V_r, c_Product__Type_OSigma(V_A, c_COMBK(V_A, tc_fun(T_a, tc_bool), T_a), T_a, T_a), tc_fun(tc_prod(T_a, T_a), tc_bool)) )).
% 82.75/82.96 cnf(matrix-200, plain, ( c_lessequals(c_Transitive__Closure_Ortrancl(V_r, T_a), c_Transitive__Closure_Ortrancl(V_s, T_a), tc_fun(tc_prod(T_a, T_a), tc_bool)) | ~c_lessequals(V_r, c_Transitive__Closure_Ortrancl(V_s, T_a), tc_fun(tc_prod(T_a, T_a), tc_bool)) )).
% 82.75/82.96 cnf(matrix-201, plain, ( ( c_Lattices_Olower__semilattice__class_Oinf(c_Set_Oinsert(V_a, V_B, T_a), V_C, tc_fun(T_a, tc_bool)) = c_Set_Oinsert(V_a, c_Lattices_Olower__semilattice__class_Oinf(V_B, V_C, tc_fun(T_a, tc_bool)), T_a)) | ~c_in(V_a, V_C, T_a) )).
% 82.75/82.96 cnf(matrix-202, plain, ( ( c_Lattices_Olower__semilattice__class_Oinf(V_A, c_Set_Oinsert(V_a, V_B, T_a), tc_fun(T_a, tc_bool)) = c_Set_Oinsert(V_a, c_Lattices_Olower__semilattice__class_Oinf(V_A, V_B, tc_fun(T_a, tc_bool)), T_a)) | ~c_in(V_a, V_A, T_a) )).
% 82.75/82.96 cnf(matrix-203, 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)) )).
% 82.75/82.96 cnf(matrix-204, plain, ( c_lessequals(c_Lattices_Oupper__semilattice__class_Osup(V_A, V_B, tc_fun(T_a, tc_bool)), c_Lattices_Oupper__semilattice__class_Osup(V_C, V_D, tc_fun(T_a, tc_bool)), tc_fun(T_a, tc_bool)) | ~c_lessequals(V_B, V_D, tc_fun(T_a, tc_bool)) | ~c_lessequals(V_A, V_C, tc_fun(T_a, tc_bool)) )).
% 82.75/82.96 cnf(matrix-205, plain, ( ( c_Relation_Oconverse(c_Lattices_Oupper__semilattice__class_Osup(V_r, V_s, tc_fun(tc_prod(T_b, T_a), tc_bool)), T_b, T_a) = c_Lattices_Oupper__semilattice__class_Osup(c_Relation_Oconverse(V_r, T_b, T_a), c_Relation_Oconverse(V_s, T_b, T_a), tc_fun(tc_prod(T_a, T_b), tc_bool))) )).
% 82.75/82.96 cnf(matrix-206, plain, ( ~class_Lattices_Olattice(T_a) | c_lessequals(c_Lattices_Olower__semilattice__class_Oinf(V_x, V_y, T_a), V_x, T_a) )).
% 82.75/82.96 cnf(matrix-207, plain, ( c_lessequals(c_Set_Oimage(V_f, V_A, T_a, T_b), V_B, tc_fun(T_b, tc_bool)) | ~c_in(V_f, c_FuncSet_OPi(V_A, c_COMBK(V_B, tc_fun(T_b, tc_bool), T_a), T_a, T_b), tc_fun(T_a, T_b)) )).
% 82.75/82.96 cnf(matrix-208, plain, ( ( c_Lattices_Olower__semilattice__class_Oinf(V_A, V_B, tc_fun(T_a, tc_bool)) = V_A) | ~c_lessequals(V_A, V_B, tc_fun(T_a, tc_bool)) )).
% 82.75/82.96 cnf(matrix-209, plain, ( ( c_Lattices_Olower__semilattice__class_Oinf(V_A, V_B, tc_fun(T_a, tc_bool)) = V_B) | ~c_lessequals(V_B, V_A, tc_fun(T_a, tc_bool)) )).
% 82.75/82.96 cnf(matrix-210, plain, ( ~class_Lattices_Olower__semilattice(T_a) | ( c_Lattices_Olower__semilattice__class_Oinf(V_x, V_y, T_a) = V_x) | ~c_lessequals(V_x, V_y, T_a) )).
% 82.75/82.96 cnf(matrix-211, plain, ( ~class_Lattices_Olower__semilattice(T_a) | ( c_Lattices_Olower__semilattice__class_Oinf(V_x, V_y, T_a) != V_x) | c_lessequals(V_x, V_y, T_a) )).
% 82.75/82.96 cnf(matrix-212, plain, ( ~class_Lattices_Olower__semilattice(T_a) | ( c_Lattices_Olower__semilattice__class_Oinf(V_x, V_y, T_a) = V_y) | ~c_lessequals(V_y, V_x, T_a) )).
% 82.75/82.96 cnf(matrix-213, plain, ( c_lessequals(c_Lattices_Oupper__semilattice__class_Osup(V_A, V_B, tc_fun(T_a, tc_bool)), V_C, tc_fun(T_a, tc_bool)) | ~c_lessequals(V_B, V_C, tc_fun(T_a, tc_bool)) | ~c_lessequals(V_A, V_C, tc_fun(T_a, tc_bool)) )).
% 82.75/82.96 cnf(matrix-214, plain, ( c_lessequals(V_B, c_Lattices_Oupper__semilattice__class_Osup(V_A, V_B, tc_fun(T_a, tc_bool)), tc_fun(T_a, tc_bool)) )).
% 82.75/82.96 cnf(matrix-215, plain, ( c_lessequals(V_A, c_Lattices_Oupper__semilattice__class_Osup(V_A, V_B, tc_fun(T_a, tc_bool)), tc_fun(T_a, tc_bool)) )).
% 82.75/82.96 cnf(matrix-216, plain, ( c_lessequals(c_Lattices_Oupper__semilattice__class_Osup(V_A, V_B, tc_fun(T_a, tc_bool)), V_C, tc_fun(T_a, tc_bool)) | ~c_lessequals(V_B, V_C, tc_fun(T_a, tc_bool)) | ~c_lessequals(V_A, V_C, tc_fun(T_a, tc_bool)) )).
% 82.75/82.96 cnf(matrix-217, plain, ( ~class_Lattices_Oupper__semilattice(T_a) | c_lessequals(c_Lattices_Oupper__semilattice__class_Osup(V_a, V_b, T_a), V_x, T_a) | ~c_lessequals(V_b, V_x, T_a) | ~c_lessequals(V_a, V_x, T_a) )).
% 82.75/82.96 cnf(matrix-218, plain, ( ~class_Lattices_Oupper__semilattice(T_a) | c_lessequals(V_x, c_Lattices_Oupper__semilattice__class_Osup(V_x, V_y, T_a), T_a) )).
% 82.75/82.96 cnf(matrix-219, plain, ( ~class_Lattices_Oupper__semilattice(T_a) | c_lessequals(V_y, c_Lattices_Oupper__semilattice__class_Osup(V_x, V_y, T_a), T_a) )).
% 82.75/82.96 cnf(matrix-220, plain, ( ~class_Lattices_Oupper__semilattice(T_a) | c_lessequals(c_Lattices_Oupper__semilattice__class_Osup(V_y, V_z, T_a), V_x, T_a) | ~c_lessequals(V_z, V_x, T_a) | ~c_lessequals(V_y, V_x, T_a) )).
% 82.75/82.96 cnf(matrix-221, plain, ( ~class_Lattices_Oupper__semilattice(T_a) | c_lessequals(c_Lattices_Oupper__semilattice__class_Osup(V_x, V_y, T_a), V_z, T_a) | ~c_lessequals(V_y, V_z, T_a) | ~c_lessequals(V_x, V_z, T_a) )).
% 82.75/82.96 cnf(matrix-222, plain, ( ~class_Lattices_Olattice(T_a) | c_lessequals(V_y, c_Lattices_Oupper__semilattice__class_Osup(V_x, V_y, T_a), T_a) )).
% 82.75/82.96 cnf(matrix-223, plain, ( ~class_Lattices_Olattice(T_a) | c_lessequals(V_x, c_Lattices_Oupper__semilattice__class_Osup(V_x, V_y, T_a), T_a) )).
% 82.75/82.96 cnf(matrix-224, plain, ( ( c_Lattices_Olower__semilattice__class_Oinf(V_A, V_B, tc_fun(T_a, tc_bool)) = c_Lattices_Olower__semilattice__class_Oinf(V_B, V_A, tc_fun(T_a, tc_bool))) )).
% 82.75/82.96 cnf(matrix-225, plain, ( ~class_Lattices_Olower__semilattice(T_a) | ( c_Lattices_Olower__semilattice__class_Oinf(V_x, V_y, T_a) = c_Lattices_Olower__semilattice__class_Oinf(V_y, V_x, T_a)) )).
% 82.75/82.96 cnf(matrix-226, plain, ( ~class_Lattices_Olattice(T_a) | ( c_Lattices_Olower__semilattice__class_Oinf(V_x, V_y, T_a) = c_Lattices_Olower__semilattice__class_Oinf(V_y, V_x, T_a)) )).
% 82.75/82.96 cnf(matrix-227, plain, ( c_Wellfounded_Oacyclic(V_r, T_a) | ~c_Wellfounded_Owf(V_r, T_a) )).
% 82.75/82.96 cnf(matrix-228, plain, ( ( c_Lattices_Oupper__semilattice__class_Osup(V_A, c_HOL_Ominus__class_Ominus(V_B, V_A, tc_fun(T_a, tc_bool)), tc_fun(T_a, tc_bool)) = V_B) | ~c_lessequals(V_A, V_B, tc_fun(T_a, tc_bool)) )).
% 82.75/82.96 cnf(matrix-229, plain, ( ~class_Lattices_Olattice(T_a) | c_lessequals(c_Lattices_Oupper__semilattice__class_Osup(c_Lattices_Olower__semilattice__class_Oinf(V_x, V_y, T_a), c_Lattices_Olower__semilattice__class_Oinf(V_x, V_z, T_a), T_a), c_Lattices_Olower__semilattice__class_Oinf(V_x, c_Lattices_Oupper__semilattice__class_Osup(V_y, V_z, T_a), T_a), T_a) )).
% 82.75/82.96 cnf(matrix-230, plain, ( ( c_Transitive__Closure_Ortrancl(V_S, T_a) = c_Transitive__Closure_Ortrancl(V_R, T_a)) | ~c_lessequals(V_S, c_Transitive__Closure_Ortrancl(V_R, T_a), tc_fun(tc_prod(T_a, T_a), tc_bool)) | ~c_lessequals(V_R, V_S, tc_fun(tc_prod(T_a, T_a), tc_bool)) )).
% 82.75/82.96 cnf(matrix-231, plain, ( c_lessequals(c_HOL_Ominus__class_Ominus(V_A, V_B, tc_fun(T_a, tc_bool)), V_A, tc_fun(T_a, tc_bool)) )).
% 82.75/82.96 cnf(matrix-232, plain, ( ( c_Lattices_Oupper__semilattice__class_Osup(c_Lattices_Oupper__semilattice__class_Osup(c_Lattices_Olower__semilattice__class_Oinf(V_A, V_B, tc_fun(T_a, tc_bool)), c_Lattices_Olower__semilattice__class_Oinf(V_B, V_C, tc_fun(T_a, tc_bool)), tc_fun(T_a, tc_bool)), c_Lattices_Olower__semilattice__class_Oinf(V_C, V_A, tc_fun(T_a, tc_bool)), tc_fun(T_a, tc_bool)) = c_Lattices_Olower__semilattice__class_Oinf(c_Lattices_Olower__semilattice__class_Oinf(c_Lattices_Oupper__semilattice__class_Osup(V_A, V_B, tc_fun(T_a, tc_bool)), c_Lattices_Oupper__semilattice__class_Osup(V_B, V_C, tc_fun(T_a, tc_bool)), tc_fun(T_a, tc_bool)), c_Lattices_Oupper__semilattice__class_Osup(V_C, V_A, tc_fun(T_a, tc_bool)), tc_fun(T_a, tc_bool))) )).
% 82.75/82.96 cnf(matrix-233, plain, ( c_in(V_x, V_B, T_a) | ~c_lessequals(c_Set_Oinsert(V_x, V_A, T_a), V_B, tc_fun(T_a, tc_bool)) )).
% 82.75/82.96 cnf(matrix-234, plain, ( ( c_Product__Type_OSigma(c_Lattices_Oupper__semilattice__class_Osup(V_I, V_J, tc_fun(T_a, tc_bool)), V_C, T_a, T_b) = c_Lattices_Oupper__semilattice__class_Osup(c_Product__Type_OSigma(V_I, V_C, T_a, T_b), c_Product__Type_OSigma(V_J, V_C, T_a, T_b), tc_fun(tc_prod(T_a, T_b), tc_bool))) )).
% 82.75/82.96 cnf(matrix-235, plain, ( hBOOL(hAPP(c_Set_Oinsert(V_y, V_A, T_a), V_x)) | ~hBOOL(hAPP(V_A, V_x)) )).
% 82.75/82.96 cnf(matrix-236, 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)) | ~c_in(V_x, V_A, T_a) )).
% 82.75/82.96 cnf(matrix-237, plain, ( c_lessequals(V_A, c_Set_Oinsert(V_x, V_B, T_a), tc_fun(T_a, tc_bool)) | ~c_lessequals(V_A, V_B, tc_fun(T_a, tc_bool)) | c_in(V_x, V_A, T_a) )).
% 82.75/82.96 cnf(matrix-238, plain, ( c_lessequals(V_A, V_B, tc_fun(T_a, tc_bool)) | c_in(V_x, V_A, T_a) | ~c_lessequals(V_A, c_Set_Oinsert(V_x, V_B, T_a), tc_fun(T_a, tc_bool)) )).
% 82.75/82.96 cnf(matrix-239, plain, ( c_lessequals(V_A, c_Set_Oinsert(V_x, V_B, T_a), tc_fun(T_a, tc_bool)) | ~c_lessequals(V_A, V_B, tc_fun(T_a, tc_bool)) | c_in(V_x, V_A, T_a) )).
% 82.75/82.96 cnf(matrix-240, plain, ( c_lessequals(V_A, V_B, tc_fun(T_a, tc_bool)) | ~c_lessequals(V_A, c_Set_Oinsert(V_x, V_B, T_a), tc_fun(T_a, tc_bool)) | c_in(V_x, V_A, T_a) )).
% 82.75/82.96 cnf(matrix-241, plain, ( ( c_Lattices_Olower__semilattice__class_Oinf(V_A, c_Set_Oinsert(V_a, V_B, T_a), tc_fun(T_a, tc_bool)) = c_Lattices_Olower__semilattice__class_Oinf(V_A, V_B, tc_fun(T_a, tc_bool))) | c_in(V_a, V_A, T_a) )).
% 82.75/82.96 cnf(matrix-242, plain, ( ( c_Lattices_Olower__semilattice__class_Oinf(c_Set_Oinsert(V_a, V_B, T_a), V_C, tc_fun(T_a, tc_bool)) = c_Lattices_Olower__semilattice__class_Oinf(V_B, V_C, tc_fun(T_a, tc_bool))) | c_in(V_a, V_C, T_a) )).
% 82.75/82.96 cnf(matrix-243, plain, ( c_Relation_Ototal__on(V_A, V_r, T_a) | ~c_Order__Relation_Ostrict__linear__order__on(V_A, V_r, T_a) )).
% 82.75/82.96 cnf(matrix-244, plain, ( ( c_Lattices_Oupper__semilattice__class_Osup(c_HOL_Ominus__class_Ominus(V_B, V_A, tc_fun(T_a, tc_bool)), V_A, tc_fun(T_a, tc_bool)) = c_Lattices_Oupper__semilattice__class_Osup(V_B, V_A, tc_fun(T_a, tc_bool))) )).
% 82.75/82.96 cnf(matrix-245, plain, ( ( c_Lattices_Oupper__semilattice__class_Osup(V_A, c_HOL_Ominus__class_Ominus(V_B, V_A, tc_fun(T_a, tc_bool)), tc_fun(T_a, tc_bool)) = c_Lattices_Oupper__semilattice__class_Osup(V_A, V_B, tc_fun(T_a, tc_bool))) )).
% 82.75/82.96 cnf(matrix-246, plain, ( ( c_Relation_Orel__comp(c_Lattices_Oupper__semilattice__class_Osup(V_S, V_T, tc_fun(tc_prod(T_a, T_c), tc_bool)), V_R, T_a, T_c, T_b) = c_Lattices_Oupper__semilattice__class_Osup(c_Relation_Orel__comp(V_S, V_R, T_a, T_c, T_b), c_Relation_Orel__comp(V_T, V_R, T_a, T_c, T_b), tc_fun(tc_prod(T_a, T_b), tc_bool))) )).
% 82.75/82.96 cnf(matrix-247, plain, ( ( c_Relation_Orel__comp(V_R, c_Lattices_Oupper__semilattice__class_Osup(V_S, V_T, tc_fun(tc_prod(T_c, T_b), tc_bool)), T_a, T_c, T_b) = c_Lattices_Oupper__semilattice__class_Osup(c_Relation_Orel__comp(V_R, V_S, T_a, T_c, T_b), c_Relation_Orel__comp(V_R, V_T, T_a, T_c, T_b), tc_fun(tc_prod(T_a, T_b), tc_bool))) )).
% 82.75/82.96 cnf(matrix-248, plain, ( c_lessequals(V_C, V_B, tc_fun(T_a, tc_bool)) | ~c_lessequals(V_C, c_Lattices_Olower__semilattice__class_Oinf(V_A, V_B, tc_fun(T_a, tc_bool)), tc_fun(T_a, tc_bool)) )).
% 82.75/82.96 cnf(matrix-249, plain, ( c_lessequals(V_C, V_A, tc_fun(T_a, tc_bool)) | ~c_lessequals(V_C, c_Lattices_Olower__semilattice__class_Oinf(V_A, V_B, tc_fun(T_a, tc_bool)), tc_fun(T_a, tc_bool)) )).
% 82.75/82.96 cnf(matrix-250, plain, ( ~class_Lattices_Olower__semilattice(T_a) | c_lessequals(V_x, V_a, T_a) | ~c_lessequals(V_x, c_Lattices_Olower__semilattice__class_Oinf(V_a, V_b, T_a), T_a) )).
% 82.75/82.96 cnf(matrix-251, plain, ( ~class_Lattices_Olower__semilattice(T_a) | c_lessequals(V_x, V_b, T_a) | ~c_lessequals(V_x, c_Lattices_Olower__semilattice__class_Oinf(V_a, V_b, T_a), T_a) )).
% 82.75/82.96 cnf(matrix-252, plain, ( ~class_Lattices_Olower__semilattice(T_a) | c_lessequals(c_Lattices_Olower__semilattice__class_Oinf(V_a, V_b, T_a), V_x, T_a) | ~c_lessequals(V_a, V_x, T_a) )).
% 82.75/82.96 cnf(matrix-253, plain, ( ~class_Lattices_Olower__semilattice(T_a) | c_lessequals(c_Lattices_Olower__semilattice__class_Oinf(V_a, V_b, T_a), V_x, T_a) | ~c_lessequals(V_b, V_x, T_a) )).
% 82.75/82.96 cnf(matrix-254, plain, ( ~class_Lattices_Olower__semilattice(T_a) | c_lessequals(V_x, V_y, T_a) | ~c_lessequals(V_x, c_Lattices_Olower__semilattice__class_Oinf(V_y, V_z, T_a), T_a) )).
% 82.75/82.96 cnf(matrix-255, plain, ( ~class_Lattices_Olower__semilattice(T_a) | c_lessequals(V_x, V_z, T_a) | ~c_lessequals(V_x, c_Lattices_Olower__semilattice__class_Oinf(V_y, V_z, T_a), T_a) )).
% 82.75/82.96 cnf(matrix-256, plain, ( ( c_HOL_Ominus__class_Ominus(c_Lattices_Oupper__semilattice__class_Osup(V_A, V_B, tc_fun(T_a, tc_bool)), V_C, tc_fun(T_a, tc_bool)) = c_Lattices_Oupper__semilattice__class_Osup(c_HOL_Ominus__class_Ominus(V_A, V_C, tc_fun(T_a, tc_bool)), c_HOL_Ominus__class_Ominus(V_B, V_C, tc_fun(T_a, tc_bool)), tc_fun(T_a, tc_bool))) )).
% 82.75/82.96 cnf(matrix-257, plain, ( ( c_Lattices_Oupper__semilattice__class_Osup(V_A, V_B, tc_fun(T_a, tc_bool)) = c_Lattices_Oupper__semilattice__class_Osup(V_B, V_A, tc_fun(T_a, tc_bool))) )).
% 82.75/82.96 cnf(matrix-258, plain, ( ~class_Lattices_Oupper__semilattice(T_a) | ( c_Lattices_Oupper__semilattice__class_Osup(V_x, V_y, T_a) = c_Lattices_Oupper__semilattice__class_Osup(V_y, V_x, T_a)) )).
% 82.75/82.96 cnf(matrix-259, plain, ( ~class_Lattices_Olattice(T_a) | ( c_Lattices_Oupper__semilattice__class_Osup(V_x, V_y, T_a) = c_Lattices_Oupper__semilattice__class_Osup(V_y, V_x, T_a)) )).
% 82.75/82.96 cnf(matrix-260, plain, ( ( c_Relation_ODomain(c_Lattices_Oupper__semilattice__class_Osup(V_A, V_B, tc_fun(tc_prod(T_a, T_b), tc_bool)), T_a, T_b) = c_Lattices_Oupper__semilattice__class_Osup(c_Relation_ODomain(V_A, T_a, T_b), c_Relation_ODomain(V_B, T_a, T_b), tc_fun(T_a, tc_bool))) )).
% 82.75/82.96 cnf(matrix-261, plain, ( c_lessequals(c_Wellfounded_Oacc(V_R2, T_a), c_Wellfounded_Oacc(V_R1, T_a), tc_fun(T_a, tc_bool)) | ~c_lessequals(V_R1, V_R2, tc_fun(tc_prod(T_a, T_a), tc_bool)) )).
% 82.75/82.96 cnf(matrix-262, plain, ( ( c_Lattices_Oupper__semilattice__class_Osup(V_A, c_Lattices_Oupper__semilattice__class_Osup(V_A, V_B, tc_fun(T_a, tc_bool)), tc_fun(T_a, tc_bool)) = c_Lattices_Oupper__semilattice__class_Osup(V_A, V_B, tc_fun(T_a, tc_bool))) )).
% 82.75/82.96 cnf(matrix-263, plain, ( ~class_Lattices_Oupper__semilattice(T_a) | ( c_Lattices_Oupper__semilattice__class_Osup(V_x, c_Lattices_Oupper__semilattice__class_Osup(V_x, V_y, T_a), T_a) = c_Lattices_Oupper__semilattice__class_Osup(V_x, V_y, T_a)) )).
% 82.75/82.96 cnf(matrix-264, plain, ( ~class_Lattices_Olattice(T_a) | ( c_Lattices_Oupper__semilattice__class_Osup(V_x, c_Lattices_Oupper__semilattice__class_Osup(V_x, V_y, T_a), T_a) = c_Lattices_Oupper__semilattice__class_Osup(V_x, V_y, T_a)) )).
% 82.75/82.96 cnf(matrix-265, plain, ( hBOOL(hAPP(V_P, V_a)) | ~hBOOL(hAPP(V_P, c_ATP__Linkup_Osko__Wellfounded__Xwf__induct__rule__1__1(V_P, V_r, T_a))) | ~c_Wellfounded_Owf(V_r, T_a) )).
% 82.75/82.96 cnf(matrix-266, plain, ( ( c_Transitive__Closure_Ortrancl(c_Lattices_Oupper__semilattice__class_Osup(c_Transitive__Closure_Ortrancl(V_R, T_a), c_Transitive__Closure_Ortrancl(V_S, T_a), tc_fun(tc_prod(T_a, T_a), tc_bool)), T_a) = c_Transitive__Closure_Ortrancl(c_Lattices_Oupper__semilattice__class_Osup(V_R, V_S, tc_fun(tc_prod(T_a, T_a), tc_bool)), T_a)) )).
% 82.75/82.96 cnf(matrix-267, 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)) | c_in(V_x, V_B, T_a) )).
% 82.75/82.96 cnf(matrix-268, plain, ( hBOOL(hAPP(V_B, V_x)) | ~hBOOL(hAPP(c_Lattices_Olower__semilattice__class_Oinf(V_A, V_B, tc_fun(T_a, tc_bool)), V_x)) )).
% 82.75/82.96 cnf(matrix-269, plain, ( hBOOL(hAPP(V_A, V_x)) | ~hBOOL(hAPP(c_Lattices_Olower__semilattice__class_Oinf(V_A, V_B, tc_fun(T_a, tc_bool)), V_x)) )).
% 82.75/82.96 cnf(matrix-270, plain, ( ( c_Relation_ORange(c_Set_Oinsert(c_Pair(V_a, V_b, T_b, T_a), V_r, tc_prod(T_b, T_a)), T_b, T_a) = c_Set_Oinsert(V_b, c_Relation_ORange(V_r, T_b, T_a), T_a)) )).
% 82.75/82.96 cnf(matrix-271, plain, ( c_lessequals(c_HOL_Ominus__class_Ominus(V_A, V_B, tc_fun(T_a, tc_bool)), V_C, tc_fun(T_a, tc_bool)) | ~c_lessequals(V_A, c_Lattices_Oupper__semilattice__class_Osup(V_B, V_C, tc_fun(T_a, tc_bool)), tc_fun(T_a, tc_bool)) )).
% 82.75/82.96 cnf(matrix-272, plain, ( c_lessequals(V_A, c_Lattices_Oupper__semilattice__class_Osup(V_B, V_C, tc_fun(T_a, tc_bool)), tc_fun(T_a, tc_bool)) | ~c_lessequals(c_HOL_Ominus__class_Ominus(V_A, V_B, tc_fun(T_a, tc_bool)), V_C, tc_fun(T_a, tc_bool)) )).
% 82.75/82.96 cnf(matrix-273, plain, ( ( hAPP(V_f, c_List_Osko__Recdef__Xcuts__eq__1__1(V_f, V_g, V_r, V_x, T_a, T_b)) != hAPP(V_g, c_List_Osko__Recdef__Xcuts__eq__1__1(V_f, V_g, V_r, V_x, T_a, T_b))) | ( c_Recdef_Ocut(V_f, V_r, V_x, T_a, T_b) = c_Recdef_Ocut(V_g, V_r, V_x, T_a, T_b)) )).
% 82.75/82.96 cnf(matrix-274, plain, ( c_Wellfounded_Oacyclic(V_r, T_a) | ~c_Wellfounded_Oacyclic(c_Set_Oinsert(c_Pair(V_y, V_x, T_a, T_a), V_r, tc_prod(T_a, T_a)), T_a) )).
% 82.75/82.96 cnf(matrix-275, plain, ( ~class_HOL_Oord(T_b) | c_lessequals(hAPP(V_f, V_x), hAPP(V_g, V_x), T_b) | ~c_lessequals(V_f, V_g, tc_fun(T_a, T_b)) )).
% 82.75/82.96 cnf(matrix-276, plain, ( c_in(V_c, c_Lattices_Olower__semilattice__class_Oinf(V_A, V_B, tc_fun(T_a, tc_bool)), T_a) | ~c_in(V_c, V_B, T_a) | ~c_in(V_c, V_A, T_a) )).
% 82.75/82.96 cnf(matrix-277, plain, ( c_in(V_c, c_Lattices_Olower__semilattice__class_Oinf(V_A, V_B, tc_fun(T_a, tc_bool)), T_a) | ~c_in(V_c, V_B, T_a) | ~c_in(V_c, V_A, T_a) )).
% 82.75/82.96 cnf(matrix-278, plain, ( c_in(V_a, c_Set_Oinsert(V_b, V_A, T_a), T_a) | ~c_in(V_a, V_A, T_a) )).
% 82.75/82.96 cnf(matrix-279, plain, ( c_in(V_a, c_Set_Oinsert(V_b, V_B, T_a), T_a) | ~c_in(V_a, V_B, T_a) )).
% 82.75/82.96 cnf(matrix-280, plain, ( c_in(V_t, V_B, T_a) | ~c_in(V_t, V_A, T_a) | ~c_lessequals(V_A, V_B, tc_fun(T_a, tc_bool)) )).
% 82.75/82.96 cnf(matrix-281, plain, ( c_in(V_x, V_B, T_a) | ~c_lessequals(V_A, V_B, tc_fun(T_a, tc_bool)) | ~c_in(V_x, V_A, T_a) )).
% 82.75/82.96 cnf(matrix-282, plain, ( c_in(V_c, V_B, T_a) | ~c_in(V_c, V_A, T_a) | ~c_lessequals(V_A, V_B, tc_fun(T_a, tc_bool)) )).
% 82.75/82.96 cnf(matrix-283, plain, ( c_in(V_x, V_B, T_a) | ~c_in(V_x, V_A, T_a) | ~c_lessequals(V_A, V_B, tc_fun(T_a, tc_bool)) )).
% 82.75/82.96 cnf(matrix-284, plain, ( c_in(V_c, c_Lattices_Oupper__semilattice__class_Osup(V_A, V_B, tc_fun(T_a, tc_bool)), T_a) | ~c_in(V_c, V_A, T_a) )).
% 82.75/82.96 cnf(matrix-285, plain, ( c_in(V_c, c_Lattices_Oupper__semilattice__class_Osup(V_A, V_B, tc_fun(T_a, tc_bool)), T_a) | ~c_in(V_c, V_B, T_a) )).
% 82.75/82.96 cnf(matrix-286, plain, ( c_in(V_a, V_A, T_a) | ( V_a = V_b) | ~c_in(V_a, c_Set_Oinsert(V_b, V_A, T_a), T_a) )).
% 82.75/82.96 cnf(matrix-287, plain, ( c_in(V_c, V_B, T_a) | c_in(V_c, V_A, T_a) | ~c_in(V_c, c_Lattices_Oupper__semilattice__class_Osup(V_A, V_B, tc_fun(T_a, tc_bool)), T_a) )).
% 82.75/82.96 cnf(matrix-288, plain, ( ~c_in(V_c, V_B, T_a) | ~c_in(V_c, c_HOL_Ominus__class_Ominus(V_A, V_B, tc_fun(T_a, tc_bool)), T_a) )).
% 82.75/82.96 cnf(matrix-289, plain, ( c_in(V_c, V_A, T_a) | ~c_in(V_c, c_HOL_Ominus__class_Ominus(V_A, V_B, tc_fun(T_a, tc_bool)), T_a) )).
% 82.75/82.96 cnf(matrix-290, plain, ( c_in(V_x, c_Set_Oinsert(V_x, V_A, T_a), T_a) )).
% 82.75/82.96 cnf(matrix-291, plain, ( c_in(V_a, c_Set_Oinsert(V_a, V_B, T_a), T_a) )).
% 82.75/82.96 cnf(matrix-292, plain, ( c_in(V_x, c_Set_Oinsert(V_x, V_B, T_a), T_a) )).
% 82.75/82.96 cnf(matrix-293, plain, ( c_in(V_c, V_B, T_a) | ~c_in(V_c, c_Lattices_Olower__semilattice__class_Oinf(V_A, V_B, tc_fun(T_a, tc_bool)), T_a) )).
% 82.75/82.96 cnf(matrix-294, plain, ( c_in(V_c, V_A, T_a) | ~c_in(V_c, c_Lattices_Olower__semilattice__class_Oinf(V_A, V_B, tc_fun(T_a, tc_bool)), T_a) )).
% 82.75/82.96 cnf(matrix-295, plain, ( c_in(V_c, c_HOL_Ominus__class_Ominus(V_A, V_B, tc_fun(T_a, tc_bool)), T_a) | c_in(V_c, V_B, T_a) | ~c_in(V_c, V_A, T_a) )).
% 82.75/82.96 cnf(matrix-296, plain, ( c_in(V_c, c_HOL_Ominus__class_Ominus(V_A, V_B, tc_fun(T_a, tc_bool)), T_a) | c_in(V_c, V_B, T_a) | ~c_in(V_c, V_A, T_a) )).
% 82.75/82.96 cnf(matrix-297, plain, ( ( c_Set_Oinsert(V_x, V_A, T_a) != c_Set_Oinsert(V_x, V_B, T_a)) | c_in(V_x, V_B, T_a) | c_in(V_x, V_A, T_a) | ( V_A = V_B) )).
% 82.75/82.96 cnf(matrix-298, plain, ( ( c_Set_Oinsert(V_a, V_A, T_a) = V_A) | ~c_in(V_a, V_A, T_a) )).
% 82.75/82.96 cnf(matrix-299, plain, ( ~c_in(V_x, V_A, T_aa) | c_in(hAPP(V_f, V_x), c_Set_Oimage(V_f, V_A, T_aa, T_a), T_a) )).
% 82.75/82.96 cnf(matrix-300, plain, ( ~c_in(V_x, V_A, T_b) | c_in(hAPP(V_f, V_x), c_Set_Oimage(V_f, V_A, T_b, T_a), T_a) )).
% 82.75/82.96 cnf(matrix-301, plain, ( c_in(hAPP(V_f, V_x), c_Set_Oimage(V_f, V_A, T_b, T_a), T_a) | ~c_in(V_x, V_A, T_b) )).
% 82.75/82.96 cnf(matrix-302, plain, ( c_in(hAPP(V_f, V_x), c_Set_Oimage(V_f, V_A, T_a, T_b), T_b) | ~c_in(V_x, V_A, T_a) )).
% 82.75/82.96 cnf(matrix-303, plain, ( ( c_Set_Oimage(V_f, c_Set_Oimage(V_g, V_A, T_c, T_b), T_b, T_a) = c_Set_Oimage(c_COMBB(V_f, V_g, T_b, T_a, T_c), V_A, T_c, T_a)) )).
% 82.75/82.96 cnf(matrix-304, plain, ( c_in(V_a, V_A, T_a) | ( V_a = V_b) | ~c_lessequals(V_r, c_Product__Type_OSigma(V_A, c_COMBK(V_A, tc_fun(T_a, tc_bool), T_a), T_a, T_a), tc_fun(tc_prod(T_a, T_a), tc_bool)) | ~c_in(c_Pair(V_a, V_b, T_a, T_a), c_Transitive__Closure_Ortrancl(V_r, T_a), tc_prod(T_a, T_a)) )).
% 82.75/82.96 cnf(matrix-305, plain, ( c_Relation_Oirrefl(c_HOL_Ominus__class_Ominus(V_r, c_Relation_OId(T_a), tc_fun(tc_prod(T_a, T_a), tc_bool)), T_a) )).
% 82.75/82.96 cnf(matrix-306, plain, ( c_in(c_Pair(c_ATP__Linkup_Osko__Transitive__Closure__XrtranclE__1__1(V_a, V_b, V_r, T_a), V_b, T_a, T_a), V_r, tc_prod(T_a, T_a)) | ( V_a = V_b) | ~c_in(c_Pair(V_a, V_b, T_a, T_a), c_Transitive__Closure_Ortrancl(V_r, T_a), tc_prod(T_a, T_a)) )).
% 82.75/82.96 cnf(matrix-307, plain, ( ~class_Lattices_Olattice(T_a) | c_lessequals(c_Lattices_Olower__semilattice__class_Oinf(V_x, V_y, T_a), V_y, T_a) )).
% 82.75/82.96 cnf(matrix-308, plain, ( ~class_Lattices_Olower__semilattice(T_a) | c_lessequals(V_x, c_Lattices_Olower__semilattice__class_Oinf(V_y, V_z, T_a), T_a) | ~c_lessequals(V_x, V_z, T_a) | ~c_lessequals(V_x, V_y, T_a) )).
% 82.75/82.96 cnf(matrix-309, plain, ( ~class_Lattices_Olower__semilattice(T_a) | c_lessequals(V_x, c_Lattices_Olower__semilattice__class_Oinf(V_y, V_z, T_a), T_a) | ~c_lessequals(V_x, V_z, T_a) | ~c_lessequals(V_x, V_y, T_a) )).
% 82.75/82.96 cnf(matrix-310, plain, ( ~class_Lattices_Olower__semilattice(T_a) | c_lessequals(V_x, c_Lattices_Olower__semilattice__class_Oinf(V_a, V_b, T_a), T_a) | ~c_lessequals(V_x, V_b, T_a) | ~c_lessequals(V_x, V_a, T_a) )).
% 82.75/82.96 cnf(matrix-311, plain, ( ~class_Lattices_Olower__semilattice(T_a) | c_lessequals(c_Lattices_Olower__semilattice__class_Oinf(V_x, V_y, T_a), V_y, T_a) )).
% 82.75/82.96 cnf(matrix-312, plain, ( ~class_Lattices_Olower__semilattice(T_a) | c_lessequals(c_Lattices_Olower__semilattice__class_Oinf(V_x, V_y, T_a), V_x, T_a) )).
% 82.75/82.96 cnf(matrix-313, plain, ( c_lessequals(c_Lattices_Olower__semilattice__class_Oinf(V_A, V_B, tc_fun(T_a, tc_bool)), V_A, tc_fun(T_a, tc_bool)) )).
% 82.75/82.96 cnf(matrix-314, plain, ( c_lessequals(c_Lattices_Olower__semilattice__class_Oinf(V_A, V_B, tc_fun(T_a, tc_bool)), V_B, tc_fun(T_a, tc_bool)) )).
% 82.75/82.96 cnf(matrix-315, plain, ( c_lessequals(V_C, c_Lattices_Olower__semilattice__class_Oinf(V_A, V_B, tc_fun(T_a, tc_bool)), tc_fun(T_a, tc_bool)) | ~c_lessequals(V_C, V_B, tc_fun(T_a, tc_bool)) | ~c_lessequals(V_C, V_A, tc_fun(T_a, tc_bool)) )).
% 82.75/82.96 cnf(matrix-316, plain, ( c_lessequals(V_C, c_Lattices_Olower__semilattice__class_Oinf(V_A, V_B, tc_fun(T_a, tc_bool)), tc_fun(T_a, tc_bool)) | ~c_lessequals(V_C, V_B, tc_fun(T_a, tc_bool)) | ~c_lessequals(V_C, V_A, tc_fun(T_a, tc_bool)) )).
% 82.75/82.96 cnf(matrix-317, plain, ( ( c_Product__Type_OSigma(c_Lattices_Oupper__semilattice__class_Osup(V_A, V_B, tc_fun(T_a, tc_bool)), c_COMBK(V_C, tc_fun(T_b, tc_bool), T_a), T_a, T_b) = c_Lattices_Oupper__semilattice__class_Osup(c_Product__Type_OSigma(V_A, c_COMBK(V_C, tc_fun(T_b, tc_bool), T_a), T_a, T_b), c_Product__Type_OSigma(V_B, c_COMBK(V_C, tc_fun(T_b, tc_bool), T_a), T_a, T_b), tc_fun(tc_prod(T_a, T_b), tc_bool))) )).
% 82.75/82.96 cnf(matrix-318, plain, ( ~class_Lattices_Odistrib__lattice(T_a) | ( c_Lattices_Oupper__semilattice__class_Osup(c_Lattices_Olower__semilattice__class_Oinf(V_y, V_z, T_a), V_x, T_a) = c_Lattices_Olower__semilattice__class_Oinf(c_Lattices_Oupper__semilattice__class_Osup(V_y, V_x, T_a), c_Lattices_Oupper__semilattice__class_Osup(V_z, V_x, T_a), T_a)) )).
% 82.75/82.96 cnf(matrix-319, plain, ( ~class_Lattices_Odistrib__lattice(T_a) | ( c_Lattices_Oupper__semilattice__class_Osup(V_x, c_Lattices_Olower__semilattice__class_Oinf(V_y, V_z, T_a), T_a) = c_Lattices_Olower__semilattice__class_Oinf(c_Lattices_Oupper__semilattice__class_Osup(V_x, V_y, T_a), c_Lattices_Oupper__semilattice__class_Osup(V_x, V_z, T_a), T_a)) )).
% 82.75/82.96 cnf(matrix-320, plain, ( ( c_Lattices_Oupper__semilattice__class_Osup(V_A, c_Lattices_Olower__semilattice__class_Oinf(V_B, V_C, tc_fun(T_a, tc_bool)), tc_fun(T_a, tc_bool)) = c_Lattices_Olower__semilattice__class_Oinf(c_Lattices_Oupper__semilattice__class_Osup(V_A, V_B, tc_fun(T_a, tc_bool)), c_Lattices_Oupper__semilattice__class_Osup(V_A, V_C, tc_fun(T_a, tc_bool)), tc_fun(T_a, tc_bool))) )).
% 82.75/82.96 cnf(matrix-321, plain, ( ( c_Lattices_Oupper__semilattice__class_Osup(c_Lattices_Olower__semilattice__class_Oinf(V_B, V_C, tc_fun(T_a, tc_bool)), V_A, tc_fun(T_a, tc_bool)) = c_Lattices_Olower__semilattice__class_Oinf(c_Lattices_Oupper__semilattice__class_Osup(V_B, V_A, tc_fun(T_a, tc_bool)), c_Lattices_Oupper__semilattice__class_Osup(V_C, V_A, tc_fun(T_a, tc_bool)), tc_fun(T_a, tc_bool))) )).
% 82.75/82.96 cnf(matrix-322, plain, ( c_Relation_Otrans(V_r, T_a) | ~c_Order__Relation_Ostrict__linear__order__on(V_A, V_r, T_a) )).
% 82.75/82.96 cnf(matrix-323, plain, ( hBOOL(hAPP(c_Set_Oinsert(V_x, V_A, T_a), V_x)) )).
% 82.75/82.96 cnf(matrix-324, plain, ( c_lessequals(c_Set_Oinsert(V_x, V_A, T_a), V_B, tc_fun(T_a, tc_bool)) | ~c_lessequals(V_A, V_B, tc_fun(T_a, tc_bool)) | ~c_in(V_x, V_B, T_a) )).
% 82.75/82.96 cnf(matrix-325, plain, ( ( c_Product__Type_OSigma(c_HOL_Ominus__class_Ominus(V_A, V_B, tc_fun(T_a, tc_bool)), c_COMBK(V_C, tc_fun(T_b, tc_bool), T_a), T_a, T_b) = c_HOL_Ominus__class_Ominus(c_Product__Type_OSigma(V_A, c_COMBK(V_C, tc_fun(T_b, tc_bool), T_a), T_a, T_b), c_Product__Type_OSigma(V_B, c_COMBK(V_C, tc_fun(T_b, tc_bool), T_a), T_a, T_b), tc_fun(tc_prod(T_a, T_b), tc_bool))) )).
% 82.75/82.96 cnf(matrix-326, plain, ( ~class_Lattices_Olattice(T_a) | ( c_Lattices_Olower__semilattice__class_Oinf(V_x, c_Lattices_Olower__semilattice__class_Oinf(V_x, V_y, T_a), T_a) = c_Lattices_Olower__semilattice__class_Oinf(V_x, V_y, T_a)) )).
% 82.75/82.96 cnf(matrix-327, plain, ( ~class_Lattices_Olower__semilattice(T_a) | ( c_Lattices_Olower__semilattice__class_Oinf(V_x, c_Lattices_Olower__semilattice__class_Oinf(V_x, V_y, T_a), T_a) = c_Lattices_Olower__semilattice__class_Oinf(V_x, V_y, T_a)) )).
% 82.75/82.96 cnf(matrix-328, plain, ( ( c_Lattices_Olower__semilattice__class_Oinf(V_A, c_Lattices_Olower__semilattice__class_Oinf(V_A, V_B, tc_fun(T_a, tc_bool)), tc_fun(T_a, tc_bool)) = c_Lattices_Olower__semilattice__class_Oinf(V_A, V_B, tc_fun(T_a, tc_bool))) )).
% 82.75/82.96 cnf(matrix-329, plain, ( ( c_Relation_ORange(c_Lattices_Oupper__semilattice__class_Osup(V_A, V_B, tc_fun(tc_prod(T_b, T_a), tc_bool)), T_b, T_a) = c_Lattices_Oupper__semilattice__class_Osup(c_Relation_ORange(V_A, T_b, T_a), c_Relation_ORange(V_B, T_b, T_a), tc_fun(T_a, tc_bool))) )).
% 82.75/82.96 cnf(matrix-330, plain, ( ~class_Lattices_Olower__semilattice(T_a) | ( c_Lattices_Olower__semilattice__class_Oinf(V_x, V_x, T_a) = V_x) )).
% 82.75/82.96 cnf(matrix-331, plain, ( ( c_Lattices_Olower__semilattice__class_Oinf(V_A, V_A, tc_fun(T_a, tc_bool)) = V_A) )).
% 82.75/82.96 cnf(matrix-332, plain, ( ~class_Lattices_Oupper__semilattice(T_a) | c_lessequals(V_y, V_z, T_a) | ~c_lessequals(c_Lattices_Oupper__semilattice__class_Osup(V_x, V_y, T_a), V_z, T_a) )).
% 82.75/82.96 cnf(matrix-333, plain, ( ~class_Lattices_Oupper__semilattice(T_a) | c_lessequals(V_x, V_z, T_a) | ~c_lessequals(c_Lattices_Oupper__semilattice__class_Osup(V_x, V_y, T_a), V_z, T_a) )).
% 82.75/82.96 cnf(matrix-334, plain, ( ~class_Lattices_Oupper__semilattice(T_a) | c_lessequals(V_x, c_Lattices_Oupper__semilattice__class_Osup(V_a, V_b, T_a), T_a) | ~c_lessequals(V_x, V_b, T_a) )).
% 82.75/82.96 cnf(matrix-335, plain, ( ~class_Lattices_Oupper__semilattice(T_a) | c_lessequals(V_x, c_Lattices_Oupper__semilattice__class_Osup(V_a, V_b, T_a), T_a) | ~c_lessequals(V_x, V_a, T_a) )).
% 82.75/82.96 cnf(matrix-336, plain, ( ~class_Lattices_Oupper__semilattice(T_a) | c_lessequals(V_b, V_x, T_a) | ~c_lessequals(c_Lattices_Oupper__semilattice__class_Osup(V_a, V_b, T_a), V_x, T_a) )).
% 82.75/82.96 cnf(matrix-337, plain, ( ~class_Lattices_Oupper__semilattice(T_a) | c_lessequals(V_a, V_x, T_a) | ~c_lessequals(c_Lattices_Oupper__semilattice__class_Osup(V_a, V_b, T_a), V_x, T_a) )).
% 82.75/82.96 cnf(matrix-338, plain, ( c_lessequals(V_A, V_C, tc_fun(T_a, tc_bool)) | ~c_lessequals(c_Lattices_Oupper__semilattice__class_Osup(V_A, V_B, tc_fun(T_a, tc_bool)), V_C, tc_fun(T_a, tc_bool)) )).
% 82.75/82.96 cnf(matrix-339, plain, ( c_lessequals(V_B, V_C, tc_fun(T_a, tc_bool)) | ~c_lessequals(c_Lattices_Oupper__semilattice__class_Osup(V_A, V_B, tc_fun(T_a, tc_bool)), V_C, tc_fun(T_a, tc_bool)) )).
% 82.75/82.96 cnf(matrix-340, plain, ( ~class_Orderings_Oorder(T_a) | c_lessequals(V_z, V_x, T_a) | ~c_lessequals(V_z, V_y, T_a) | ~c_lessequals(V_y, V_x, T_a) )).
% 82.75/82.96 cnf(matrix-341, plain, ( ~class_Orderings_Opreorder(T_a) | c_lessequals(V_x, V_z, T_a) | ~c_lessequals(V_y, V_z, T_a) | ~c_lessequals(V_x, V_y, T_a) )).
% 82.75/82.96 cnf(matrix-342, plain, ( c_lessequals(V_x, V_x, tc_fun(T_a, tc_bool)) )).
% 82.75/82.96 cnf(matrix-343, plain, ( c_lessequals(V_A, V_A, tc_fun(T_a, tc_bool)) )).
% 82.75/82.96 cnf(matrix-344, plain, ( c_lessequals(V_A, V_C, tc_fun(T_a, tc_bool)) | ~c_lessequals(V_B, V_C, tc_fun(T_a, tc_bool)) | ~c_lessequals(V_A, V_B, tc_fun(T_a, tc_bool)) )).
% 82.75/82.96 cnf(matrix-345, plain, ( hBOOL(hAPP(V_Q, V_x)) | ~hBOOL(hAPP(V_P, V_x)) | ~c_lessequals(V_P, V_Q, tc_fun(T_a, tc_bool)) )).
% 82.75/82.96 cnf(matrix-346, plain, ( c_Wellfounded_Owf(V_p, T_a) | ~c_lessequals(V_p, V_r, tc_fun(tc_prod(T_a, T_a), tc_bool)) | ~c_Wellfounded_Owf(V_r, T_a) )).
% 82.75/82.96 cnf(matrix-347, plain, ( ~class_Orderings_Oorder(T_a) | c_lessequals(V_x, V_x, T_a) )).
% 82.75/82.96 cnf(matrix-348, plain, ( ~class_Orderings_Opreorder(T_a) | c_lessequals(V_x, V_x, T_a) )).
% 82.75/82.96 cnf(matrix-349, plain, ( c_Relation_Oantisym(V_r, T_a) | ~c_Relation_Oantisym(V_s, T_a) | ~c_lessequals(V_r, V_s, tc_fun(tc_prod(T_a, T_a), tc_bool)) )).
% 82.75/82.96 cnf(matrix-350, plain, ( hBOOL(hAPP(V_Q, V_x)) | ~c_lessequals(V_P, V_Q, tc_fun(T_a, tc_bool)) | ~hBOOL(hAPP(V_P, V_x)) )).
% 82.75/82.96 cnf(matrix-351, plain, ( c_Wellfounded_Oacyclic(V_r, T_a) | ~c_lessequals(V_r, V_s, tc_fun(tc_prod(T_a, T_a), tc_bool)) | ~c_Wellfounded_Oacyclic(V_s, T_a) )).
% 82.75/82.96 cnf(matrix-352, plain, ( c_Relation_Osingle__valued(V_r, T_a, T_b) | ~c_Relation_Osingle__valued(V_s, T_a, T_b) | ~c_lessequals(V_r, V_s, tc_fun(tc_prod(T_a, T_b), tc_bool)) )).
% 82.75/82.96 cnf(matrix-353, plain, ( c_lessequals(c_Lattices_Olower__semilattice__class_Oinf(V_A, V_B, tc_fun(T_a, tc_bool)), c_Lattices_Olower__semilattice__class_Oinf(V_C, V_D, tc_fun(T_a, tc_bool)), tc_fun(T_a, tc_bool)) | ~c_lessequals(V_B, V_D, tc_fun(T_a, tc_bool)) | ~c_lessequals(V_A, V_C, tc_fun(T_a, tc_bool)) )).
% 82.75/82.96 cnf(matrix-354, plain, ( ( c_HOL_Ominus__class_Ominus(V_A, c_Lattices_Oupper__semilattice__class_Osup(V_B, V_C, tc_fun(T_a, tc_bool)), tc_fun(T_a, tc_bool)) = c_Lattices_Olower__semilattice__class_Oinf(c_HOL_Ominus__class_Ominus(V_A, V_B, tc_fun(T_a, tc_bool)), c_HOL_Ominus__class_Ominus(V_A, V_C, tc_fun(T_a, tc_bool)), tc_fun(T_a, tc_bool))) )).
% 82.75/82.96 cnf(matrix-355, plain, ( ( c_HOL_Ominus__class_Ominus(c_Lattices_Olower__semilattice__class_Oinf(V_A, V_B, tc_fun(T_a, tc_bool)), V_C, tc_fun(T_a, tc_bool)) = c_Lattices_Olower__semilattice__class_Oinf(V_A, c_HOL_Ominus__class_Ominus(V_B, V_C, tc_fun(T_a, tc_bool)), tc_fun(T_a, tc_bool))) )).
% 82.75/82.96 cnf(matrix-356, plain, ( c_lessequals(c_Relation_ODomain(V_r, T_a, T_b), c_Relation_ODomain(V_s, T_a, T_b), tc_fun(T_a, tc_bool)) | ~c_lessequals(V_r, V_s, tc_fun(tc_prod(T_a, T_b), tc_bool)) )).
% 82.75/82.96 cnf(matrix-357, plain, ( ( c_HOL_Ominus__class_Ominus(V_A, c_Lattices_Olower__semilattice__class_Oinf(V_B, V_C, tc_fun(T_a, tc_bool)), tc_fun(T_a, tc_bool)) = c_Lattices_Oupper__semilattice__class_Osup(c_HOL_Ominus__class_Ominus(V_A, V_B, tc_fun(T_a, tc_bool)), c_HOL_Ominus__class_Ominus(V_A, V_C, tc_fun(T_a, tc_bool)), tc_fun(T_a, tc_bool))) )).
% 82.75/82.96 cnf(matrix-358, plain, ( hBOOL(hAPP(c_Lattices_Olower__semilattice__class_Oinf(V_A, V_B, tc_fun(T_a, tc_bool)), V_x)) | ~hBOOL(hAPP(V_B, V_x)) | ~hBOOL(hAPP(V_A, V_x)) )).
% 82.75/82.96 cnf(matrix-359, plain, ( ( c_HOL_Ominus__class_Ominus(V_B, c_HOL_Ominus__class_Ominus(V_C, V_A, tc_fun(T_a, tc_bool)), tc_fun(T_a, tc_bool)) = V_A) | ~c_lessequals(V_B, V_C, tc_fun(T_a, tc_bool)) | ~c_lessequals(V_A, V_B, tc_fun(T_a, tc_bool)) )).
% 82.75/82.96 cnf(matrix-360, plain, ( ~class_OrderedGroup_Opordered__ab__group__add(T_a) | ( c_HOL_Ominus__class_Ominus(V_x, V_y, T_a) != c_HOL_Ominus__class_Ominus(V_x_H, V_y_H, T_a)) | c_lessequals(V_y_H, V_x_H, T_a) | ~c_lessequals(V_y, V_x, T_a) )).
% 82.75/82.96 cnf(matrix-361, plain, ( ~class_OrderedGroup_Opordered__ab__group__add(T_a) | ( c_HOL_Ominus__class_Ominus(V_x, V_y, T_a) != c_HOL_Ominus__class_Ominus(V_x_H, V_y_H, T_a)) | c_lessequals(V_y, V_x, T_a) | ~c_lessequals(V_y_H, V_x_H, T_a) )).
% 82.75/82.96 cnf(matrix-362, plain, ( c_lessequals(c_Set_Oimage(V_f, V_A, T_a, T_b), c_Set_Oimage(V_f, V_B, T_a, T_b), tc_fun(T_b, tc_bool)) | ~c_lessequals(V_A, V_B, tc_fun(T_a, tc_bool)) )).
% 82.75/82.96 cnf(matrix-363, plain, ( ~c_lessequals(V_x, V_A, tc_fun(T_b, tc_bool)) | c_lessequals(c_Set_Oimage(V_f, V_x, T_b, T_a), c_Set_Oimage(V_f, V_A, T_b, T_a), tc_fun(T_a, tc_bool)) )).
% 82.75/82.96 cnf(matrix-364, plain, ( c_lessequals(c_Set_Oinsert(V_a, V_C, T_a), c_Set_Oinsert(V_a, V_D, T_a), tc_fun(T_a, tc_bool)) | ~c_lessequals(V_C, V_D, tc_fun(T_a, tc_bool)) )).
% 82.75/82.96 cnf(matrix-365, plain, ( ( c_Set_Oimage(V_f, c_Lattices_Oupper__semilattice__class_Osup(V_A, V_B, tc_fun(T_b, tc_bool)), T_b, T_a) = c_Lattices_Oupper__semilattice__class_Osup(c_Set_Oimage(V_f, V_A, T_b, T_a), c_Set_Oimage(V_f, V_B, T_b, T_a), tc_fun(T_a, tc_bool))) )).
% 82.75/82.96 cnf(matrix-366, plain, ( c_lessequals(c_Relation_OImage(V_r_H, V_A_H, T_a, T_b), c_Relation_OImage(V_r, V_A, T_a, T_b), tc_fun(T_b, tc_bool)) | ~c_lessequals(V_A_H, V_A, tc_fun(T_a, tc_bool)) | ~c_lessequals(V_r_H, V_r, tc_fun(tc_prod(T_a, T_b), tc_bool)) )).
% 82.75/82.96 cnf(matrix-367, plain, ( c_lessequals(V_r, c_Product__Type_OSigma(V_A, c_COMBK(V_A, tc_fun(T_a, tc_bool), T_a), T_a, T_a), tc_fun(tc_prod(T_a, T_a), tc_bool)) | ~c_Equiv__Relations_Oequiv(V_A, V_r, T_a) )).
% 82.75/82.96 cnf(matrix-368, plain, ( ~class_Orderings_Olinorder(T_a) | c_lessequals(V_y, V_x, T_a) | c_lessequals(V_x, V_y, T_a) )).
% 82.75/82.96 cnf(matrix-369, plain, ( ( hAPP(V_F, v_sko__Arrow__Order__Mirabelle__Xdictator__def__1(V_F, V_i)) != hAPP(v_sko__Arrow__Order__Mirabelle__Xdictator__def__1(V_F, V_i), V_i)) | c_Arrow__Order__Mirabelle_Odictator(V_F, V_i) )).
% 82.75/82.96 cnf(matrix-370, plain, ( c_Relation_Oirrefl(V_r, T_a) | ~c_Order__Relation_Ostrict__linear__order__on(V_A, V_r, T_a) )).
% 82.75/82.96 cnf(matrix-371, plain, ( c_Wellfounded_Oacyclic(c_Set_Oinsert(c_Pair(V_y, V_x, T_a, T_a), V_r, tc_prod(T_a, T_a)), T_a) | c_in(c_Pair(V_x, V_y, T_a, T_a), c_Transitive__Closure_Ortrancl(V_r, T_a), tc_prod(T_a, T_a)) | ~c_Wellfounded_Oacyclic(V_r, T_a) )).
% 82.75/82.96 cnf(matrix-372, plain, ( ~c_in(c_Pair(V_x, V_y, T_a, T_a), c_Transitive__Closure_Ortrancl(V_r, T_a), tc_prod(T_a, T_a)) | ~c_Wellfounded_Oacyclic(c_Set_Oinsert(c_Pair(V_y, V_x, T_a, T_a), V_r, tc_prod(T_a, T_a)), T_a) )).
% 82.75/82.96 cnf(matrix-373, plain, ( hBOOL(hAPP(V_P, V_b)) | c_in(c_Pair(c_ATP__Linkup_Osko__Transitive__Closure__Xrtrancl__induct__1__1(V_P, V_a, V_r, T_a), c_ATP__Linkup_Osko__Transitive__Closure__Xrtrancl__induct__1__2(V_P, V_a, V_r, T_a), T_a, T_a), V_r, tc_prod(T_a, T_a)) | ~hBOOL(hAPP(V_P, V_a)) | ~c_in(c_Pair(V_a, V_b, T_a, T_a), c_Transitive__Closure_Ortrancl(V_r, T_a), tc_prod(T_a, T_a)) )).
% 82.75/82.96 cnf(matrix-374, plain, ( c_in(c_ATP__Linkup_Osko__Wellfounded__Xwf__eq__minimal__1__1(V_Q, V_r, T_a), V_Q, T_a) | ~c_in(V_xa, V_Q, T_a) | ~c_Wellfounded_Owf(V_r, T_a) )).
% 82.75/82.96 cnf(matrix-375, plain, ( c_in(c_ATP__Linkup_Osko__Wellfounded__XwfE__min__1__1(V_Q, V_R, T_a), V_Q, T_a) | ~c_in(V_x, V_Q, T_a) | ~c_Wellfounded_Owf(V_R, T_a) )).
% 82.75/82.96 cnf(matrix-376, plain, ( ( c_Product__Type_OSigma(V_A, c_COMBK(V_C, tc_fun(T_a, tc_bool), T_b), T_b, T_a) != c_Product__Type_OSigma(V_B, c_COMBK(V_C, tc_fun(T_a, tc_bool), T_b), T_b, T_a)) | ~c_in(V_x, V_C, T_a) | ( V_A = V_B) )).
% 82.75/82.96 cnf(matrix-377, plain, ( c_Wellfounded_Owf(V_r, T_a) | ~c_Wellfounded_Owf(c_Set_Oinsert(c_Pair(V_y, V_x, T_a, T_a), V_r, tc_prod(T_a, T_a)), T_a) )).
% 82.75/82.96 cnf(matrix-378, plain, ( c_in(c_ATP__Linkup_Osko__Relation__XImageE__1__1(V_A, V_b, V_r, T_b, T_a), V_A, T_b) | ~c_in(V_b, c_Relation_OImage(V_r, V_A, T_b, T_a), T_a) )).
% 82.75/82.96 cnf(matrix-379, plain, ( c_in(c_ATP__Linkup_Osko__Relation__XImage__iff__1__1(V_A, V_b, V_r, T_b, T_a), V_A, T_b) | ~c_in(V_b, c_Relation_OImage(V_r, V_A, T_b, T_a), T_a) )).
% 82.75/82.96 cnf(matrix-380, plain, ( c_in(V_x, c_Transitive__Closure_Ortrancl(c_Lattices_Oupper__semilattice__class_Osup(V_R, V_S, tc_fun(tc_prod(T_a, T_a), tc_bool)), T_a), tc_prod(T_a, T_a)) | ~c_in(V_x, c_Transitive__Closure_Ortrancl(V_R, T_a), tc_prod(T_a, T_a)) )).
% 82.75/82.96 cnf(matrix-381, plain, ( c_in(V_x, c_Transitive__Closure_Ortrancl(c_Lattices_Oupper__semilattice__class_Osup(V_R, V_S, tc_fun(tc_prod(T_a, T_a), tc_bool)), T_a), tc_prod(T_a, T_a)) | ~c_in(V_x, c_Transitive__Closure_Ortrancl(V_S, T_a), tc_prod(T_a, T_a)) )).
% 82.75/82.96 cnf(matrix-382, plain, ( c_in(V_p, c_Transitive__Closure_Otrancl(V_s, T_a), tc_prod(T_a, T_a)) | ~c_lessequals(V_r, V_s, tc_fun(tc_prod(T_a, T_a), tc_bool)) | ~c_in(V_p, c_Transitive__Closure_Otrancl(V_r, T_a), tc_prod(T_a, T_a)) )).
% 82.75/82.96 cnf(matrix-383, plain, ( hBOOL(hAPP(V_P, V_a)) | ~hBOOL(hAPP(V_P, c_ATP__Linkup_Osko__Wellfounded__Xacc__induct__1__1(V_P, V_r, T_a))) | ~c_in(V_a, c_Wellfounded_Oacc(V_r, T_a), T_a) )).
% 82.75/82.96 cnf(matrix-384, plain, ( hBOOL(hAPP(V_P, V_x)) | ~hBOOL(hAPP(V_P, v_sko__Wellfounded__Xacc__Xinducts__1(V_P, V_r))) | ~c_in(V_x, c_Wellfounded_Oacc(V_r, t_a), t_a) )).
% 82.75/82.96 cnf(matrix-385, plain, ( hBOOL(hAPP(V_P, V_a)) | c_in(c_ATP__Linkup_Osko__Wellfounded__Xacc__induct__rule__1__1(V_P, V_r, T_a), c_Wellfounded_Oacc(V_r, T_a), T_a) | ~c_in(V_a, c_Wellfounded_Oacc(V_r, T_a), T_a) )).
% 82.75/82.96 cnf(matrix-386, plain, ( ~c_in(c_ATP__Linkup_Osko__Wellfounded__Xnot__acc__down__1__1(V_R, V_x, T_a), c_Wellfounded_Oacc(V_R, T_a), T_a) | c_in(V_x, c_Wellfounded_Oacc(V_R, T_a), T_a) )).
% 82.75/82.96 cnf(matrix-387, plain, ( hBOOL(hAPP(V_P, V_a)) | ~hBOOL(hAPP(V_P, c_ATP__Linkup_Osko__Wellfounded__Xacc__induct__rule__1__1(V_P, V_r, T_a))) | ~c_in(V_a, c_Wellfounded_Oacc(V_r, T_a), T_a) )).
% 82.75/82.96 cnf(matrix-388, plain, ( hBOOL(hAPP(V_P, V_x)) | ~hBOOL(hAPP(V_P, v_sko__Wellfounded__Xacc__Xinduct__1(V_P, V_r))) | ~c_in(V_x, c_Wellfounded_Oacc(V_r, t_a), t_a) )).
% 82.75/82.96 cnf(matrix-389, plain, ( c_in(V_x, c_Wellfounded_Oacc(V_r, T_a), T_a) | ~c_in(c_ATP__Linkup_Osko__Wellfounded__Xacc__Xintros__1__1(V_r, V_x, T_a), c_Wellfounded_Oacc(V_r, T_a), T_a) )).
% 82.75/82.96 cnf(matrix-390, plain, ( hBOOL(hAPP(V_P, V_a)) | c_in(c_ATP__Linkup_Osko__Wellfounded__Xacc__induct__1__1(V_P, V_r, T_a), c_Wellfounded_Oacc(V_r, T_a), T_a) | ~c_in(V_a, c_Wellfounded_Oacc(V_r, T_a), T_a) )).
% 82.75/82.96 cnf(matrix-391, plain, ( c_Wellfounded_Owf(c_Lattices_Oupper__semilattice__class_Osup(c_Lattices_Oupper__semilattice__class_Osup(c_Relation_Orel__comp(V_R, V_R, T_a, T_a, T_a), c_Relation_Orel__comp(V_S, V_R, T_a, T_a, T_a), tc_fun(tc_prod(T_a, T_a), tc_bool)), V_S, tc_fun(tc_prod(T_a, T_a), tc_bool)), T_a) | ~c_Wellfounded_Owf(c_Lattices_Oupper__semilattice__class_Osup(V_R, V_S, tc_fun(tc_prod(T_a, T_a), tc_bool)), T_a) )).
% 82.75/82.96 cnf(matrix-392, plain, ( c_Wellfounded_Owf(c_Lattices_Oupper__semilattice__class_Osup(V_R, V_S, tc_fun(tc_prod(T_a, T_a), tc_bool)), T_a) | ~c_Wellfounded_Owf(c_Lattices_Oupper__semilattice__class_Osup(c_Lattices_Oupper__semilattice__class_Osup(c_Relation_Orel__comp(V_R, V_R, T_a, T_a, T_a), c_Relation_Orel__comp(V_S, V_R, T_a, T_a, T_a), tc_fun(tc_prod(T_a, T_a), tc_bool)), V_S, tc_fun(tc_prod(T_a, T_a), tc_bool)), T_a) )).
% 82.75/82.96 cnf(matrix-393, plain, ( ( c_Transitive__Closure_Otrancl(V_r, T_a) = c_Lattices_Oupper__semilattice__class_Osup(V_r, c_Relation_Orel__comp(c_Transitive__Closure_Otrancl(V_r, T_a), V_r, T_a, T_a, T_a), tc_fun(tc_prod(T_a, T_a), tc_bool))) )).
% 82.75/82.96 cnf(matrix-394, plain, ( ( c_Lattices_Oupper__semilattice__class_Osup(c_Transitive__Closure_Ortrancl(V_R, T_a), c_Relation_OId(T_a), tc_fun(tc_prod(T_a, T_a), tc_bool)) = c_Transitive__Closure_Ortrancl(V_R, T_a)) )).
% 82.75/82.96 cnf(matrix-395, plain, ( ( c_Transitive__Closure_Ortrancl(c_Lattices_Oupper__semilattice__class_Osup(V_R, c_Relation_OId(T_a), tc_fun(tc_prod(T_a, T_a), tc_bool)), T_a) = c_Transitive__Closure_Ortrancl(V_R, T_a)) )).
% 82.75/82.96 cnf(matrix-396, plain, ( ( c_Transitive__Closure_Ortrancl(c_HOL_Ominus__class_Ominus(V_r, c_Relation_OId(T_a), tc_fun(tc_prod(T_a, T_a), tc_bool)), T_a) = c_Transitive__Closure_Ortrancl(V_r, T_a)) )).
% 82.75/82.96 cnf(matrix-397, plain, ( c_Relation_Oantisym(c_Transitive__Closure_Ortrancl(V_r, T_a), T_a) | ~c_Wellfounded_Oacyclic(V_r, T_a) )).
% 82.75/82.96 cnf(matrix-398, plain, ( c_lessequals(c_Relation_Orel__comp(V_r, V_r, T_a, T_a, T_a), V_r, tc_fun(tc_prod(T_a, T_a), tc_bool)) | ~c_Relation_Otrans(V_r, T_a) )).
% 82.75/82.96 cnf(matrix-399, plain, ( c_Relation_Osym(c_Lattices_Oupper__semilattice__class_Osup(V_r, c_Relation_Oconverse(V_r, T_a, T_a), tc_fun(tc_prod(T_a, T_a), tc_bool)), T_a) )).
% 82.75/82.96 cnf(matrix-400, plain, ( c_in(c_Arrow__Order__Mirabelle_Oabove(V_L, V_x, V_y), c_Arrow__Order__Mirabelle_OLin, tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt, tc_Arrow__Order__Mirabelle_Oalt), tc_bool)) | ~c_in(V_L, c_Arrow__Order__Mirabelle_OLin, tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt, tc_Arrow__Order__Mirabelle_Oalt), tc_bool)) | ( V_x = V_y) )).
% 82.75/82.96 cnf(matrix-401, plain, ( c_Relation_Otrans(c_Lattices_Oupper__semilattice__class_Osup(V_r, c_Relation_OId(T_a), tc_fun(tc_prod(T_a, T_a), tc_bool)), T_a) | ~c_Relation_Otrans(V_r, T_a) )).
% 82.75/82.96 cnf(matrix-402, plain, ( ( c_Relation_OImage(c_Relation_OId__on(V_A, T_a), V_B, T_a, T_a) = c_Lattices_Olower__semilattice__class_Oinf(V_A, V_B, tc_fun(T_a, tc_bool))) )).
% 82.75/82.96 cnf(matrix-403, plain, ( c_Relation_Oantisym(V_r, T_a) | ~c_Relation_Oantisym(c_Lattices_Oupper__semilattice__class_Osup(V_r, c_Relation_OId(T_a), tc_fun(tc_prod(T_a, T_a), tc_bool)), T_a) )).
% 82.75/82.96 cnf(matrix-404, plain, ( c_Relation_Oantisym(c_Lattices_Oupper__semilattice__class_Osup(V_r, c_Relation_OId(T_a), tc_fun(tc_prod(T_a, T_a), tc_bool)), T_a) | ~c_Relation_Oantisym(V_r, T_a) )).
% 82.75/82.96 cnf(matrix-405, plain, ( c_Relation_Ototal__on(V_A, V_r, T_a) | ~c_Relation_Ototal__on(V_A, c_HOL_Ominus__class_Ominus(V_r, c_Relation_OId(T_a), tc_fun(tc_prod(T_a, T_a), tc_bool)), T_a) )).
% 82.75/82.96 cnf(matrix-406, plain, ( c_Relation_Ototal__on(V_A, c_HOL_Ominus__class_Ominus(V_r, c_Relation_OId(T_a), tc_fun(tc_prod(T_a, T_a), tc_bool)), T_a) | ~c_Relation_Ototal__on(V_A, V_r, T_a) )).
% 82.75/82.96 cnf(matrix-407, plain, ( hBOOL(hAPP(V_P, V_b)) | c_in(c_Pair(V_a, c_ATP__Linkup_Osko__Transitive__Closure__Xrtrancl__induct__1__1(V_P, V_a, V_r, T_a), T_a, T_a), c_Transitive__Closure_Ortrancl(V_r, T_a), tc_prod(T_a, T_a)) | ~hBOOL(hAPP(V_P, V_a)) | ~c_in(c_Pair(V_a, V_b, T_a, T_a), c_Transitive__Closure_Ortrancl(V_r, T_a), tc_prod(T_a, T_a)) )).
% 82.75/82.96 cnf(matrix-408, plain, ( hBOOL(hAPP(V_P, V_b)) | ~hBOOL(hAPP(V_P, c_ATP__Linkup_Osko__Transitive__Closure__Xrtrancl__induct__1__2(V_P, V_a, V_r, T_a))) | ~hBOOL(hAPP(V_P, V_a)) | ~c_in(c_Pair(V_a, V_b, T_a, T_a), c_Transitive__Closure_Ortrancl(V_r, T_a), tc_prod(T_a, T_a)) )).
% 82.75/82.96 cnf(matrix-409, plain, ( c_in(c_Pair(V_a1, v_sko__Transitive__Closure__Xrtrancl__Xcases__1(V_a1, V_a2, V_r), t_a, t_a), c_Transitive__Closure_Ortrancl(V_r, t_a), tc_prod(t_a, t_a)) | ( V_a2 = V_a1) | ~c_in(c_Pair(V_a1, V_a2, t_a, t_a), c_Transitive__Closure_Ortrancl(V_r, t_a), tc_prod(t_a, t_a)) )).
% 82.75/82.96 cnf(matrix-410, plain, ( hBOOL(hAPP(V_P, V_b)) | hBOOL(hAPP(V_P, c_ATP__Linkup_Osko__Transitive__Closure__Xrtrancl__induct__1__1(V_P, V_a, V_r, T_a))) | ~hBOOL(hAPP(V_P, V_a)) | ~c_in(c_Pair(V_a, V_b, T_a, T_a), c_Transitive__Closure_Ortrancl(V_r, T_a), tc_prod(T_a, T_a)) )).
% 82.75/82.96 cnf(matrix-411, plain, ( c_in(c_Pair(v_sko__Transitive__Closure__Xrtrancl__Xcases__1(V_a1, V_a2, V_r), V_a2, t_a, t_a), V_r, tc_prod(t_a, t_a)) | ( V_a2 = V_a1) | ~c_in(c_Pair(V_a1, V_a2, t_a, t_a), c_Transitive__Closure_Ortrancl(V_r, t_a), tc_prod(t_a, t_a)) )).
% 82.75/82.96 cnf(matrix-412, plain, ( hBOOL(hAPP(V_P, V_a)) | ~hBOOL(hAPP(V_P, c_ATP__Linkup_Osko__Transitive__Closure__Xconverse__rtrancl__induct__1__1(V_P, V_b, V_r, T_a))) | ~hBOOL(hAPP(V_P, V_b)) | ~c_in(c_Pair(V_a, V_b, T_a, T_a), c_Transitive__Closure_Ortrancl(V_r, T_a), tc_prod(T_a, T_a)) )).
% 82.75/82.96 cnf(matrix-413, plain, ( c_in(c_Pair(V_a, c_ATP__Linkup_Osko__Transitive__Closure__XrtranclE__1__1(V_a, V_b, V_r, T_a), T_a, T_a), c_Transitive__Closure_Ortrancl(V_r, T_a), tc_prod(T_a, T_a)) | ( V_a = V_b) | ~c_in(c_Pair(V_a, V_b, T_a, T_a), c_Transitive__Closure_Ortrancl(V_r, T_a), tc_prod(T_a, T_a)) )).
% 82.75/82.96 cnf(matrix-414, plain, ( hBOOL(hAPP(V_P, V_a)) | hBOOL(hAPP(V_P, V_y)) | ~c_in(c_Pair(V_y, c_ATP__Linkup_Osko__Wellfounded__Xwf__induct__rule__1__1(V_P, V_r, T_a), T_a, T_a), V_r, tc_prod(T_a, T_a)) | ~c_Wellfounded_Owf(V_r, T_a) )).
% 82.75/82.96 cnf(matrix-415, plain, ( hBOOL(hAPP(V_P, V_xa)) | hBOOL(hAPP(V_P, V_y)) | ~c_in(c_Pair(V_y, c_ATP__Linkup_Osko__Wellfounded__Xwf__def__1__1(V_P, V_r, T_a), T_a, T_a), V_r, tc_prod(T_a, T_a)) | ~c_Wellfounded_Owf(V_r, T_a) )).
% 82.75/82.96 cnf(matrix-416, plain, ( hBOOL(hAPP(V_P, V_Ra)) | hBOOL(hAPP(V_P, V_y)) | ~c_in(c_Pair(V_y, c_List_Osko__Recdef__Xtfl__wf__induct__1__1(V_P, V_R, T_a), T_a, T_a), V_R, tc_prod(T_a, T_a)) | ~c_Wellfounded_Owf(V_R, T_a) )).
% 82.75/82.96 cnf(matrix-417, plain, ( hBOOL(hAPP(V_P, V_a)) | hBOOL(hAPP(V_P, V_y)) | ~c_in(c_Pair(V_y, c_ATP__Linkup_Osko__Wellfounded__Xwf__induct__1__1(V_P, V_r, T_a), T_a, T_a), V_r, tc_prod(T_a, T_a)) | ~c_Wellfounded_Owf(V_r, T_a) )).
% 82.75/82.96 cnf(matrix-418, plain, ( ~c_in(c_Pair(V_x, V_x, T_a, T_a), V_r, tc_prod(T_a, T_a)) | c_in(c_Pair(c_ATP__Linkup_Osko__Transitive__Closure__Xirrefl__trancl__rD__1__1(V_r, T_a), c_ATP__Linkup_Osko__Transitive__Closure__Xirrefl__trancl__rD__1__1(V_r, T_a), T_a, T_a), c_Transitive__Closure_Otrancl(V_r, T_a), tc_prod(T_a, T_a)) )).
% 82.75/82.96 cnf(matrix-419, plain, ( c_in(c_Pair(c_ATP__Linkup_Osko__Transitive__Closure__Xconverse__tranclE__1__1(V_r, V_x, V_z, T_a), V_z, T_a, T_a), c_Transitive__Closure_Otrancl(V_r, T_a), tc_prod(T_a, T_a)) | c_in(c_Pair(V_x, V_z, T_a, T_a), V_r, tc_prod(T_a, T_a)) | ~c_in(c_Pair(V_x, V_z, T_a, T_a), c_Transitive__Closure_Otrancl(V_r, T_a), tc_prod(T_a, T_a)) )).
% 82.75/82.96 cnf(matrix-420, plain, ( c_in(c_Pair(V_x, c_ATP__Linkup_Osko__Transitive__Closure__XtranclD__1__1(V_R, V_x, V_y, T_a), T_a, T_a), V_R, tc_prod(T_a, T_a)) | ~c_in(c_Pair(V_x, V_y, T_a, T_a), c_Transitive__Closure_Otrancl(V_R, T_a), tc_prod(T_a, T_a)) )).
% 82.75/82.96 cnf(matrix-421, plain, ( c_in(c_Pair(V_a1, v_sko__Transitive__Closure__Xtrancl__Xcases__1(V_a1, V_a2, V_r), t_a, t_a), c_Transitive__Closure_Otrancl(V_r, t_a), tc_prod(t_a, t_a)) | c_in(c_Pair(V_a1, V_a2, t_a, t_a), V_r, tc_prod(t_a, t_a)) | ~c_in(c_Pair(V_a1, V_a2, t_a, t_a), c_Transitive__Closure_Otrancl(V_r, t_a), tc_prod(t_a, t_a)) )).
% 82.75/82.96 cnf(matrix-422, plain, ( ~c_in(c_Pair(V_x, V_x, T_a, T_a), c_Transitive__Closure_Otrancl(V_r, T_a), tc_prod(T_a, T_a)) | ~c_Wellfounded_Oacyclic(V_r, T_a) )).
% 82.75/82.96 cnf(matrix-423, plain, ( c_in(c_Pair(c_ATP__Linkup_Osko__Transitive__Closure__XtranclE__1__1(V_a, V_b, V_r, T_a), V_b, T_a, T_a), V_r, tc_prod(T_a, T_a)) | c_in(c_Pair(V_a, V_b, T_a, T_a), V_r, tc_prod(T_a, T_a)) | ~c_in(c_Pair(V_a, V_b, T_a, T_a), c_Transitive__Closure_Otrancl(V_r, T_a), tc_prod(T_a, T_a)) )).
% 82.75/82.96 cnf(matrix-424, plain, ( c_in(c_Pair(V_a, c_ATP__Linkup_Osko__Transitive__Closure__XtranclE__1__1(V_a, V_b, V_r, T_a), T_a, T_a), c_Transitive__Closure_Otrancl(V_r, T_a), tc_prod(T_a, T_a)) | c_in(c_Pair(V_a, V_b, T_a, T_a), V_r, tc_prod(T_a, T_a)) | ~c_in(c_Pair(V_a, V_b, T_a, T_a), c_Transitive__Closure_Otrancl(V_r, T_a), tc_prod(T_a, T_a)) )).
% 82.75/82.96 cnf(matrix-425, plain, ( c_in(c_Pair(c_ATP__Linkup_Osko__Transitive__Closure__XtranclD2__1__1(V_R, V_x, V_y, T_a), V_y, T_a, T_a), V_R, tc_prod(T_a, T_a)) | ~c_in(c_Pair(V_x, V_y, T_a, T_a), c_Transitive__Closure_Otrancl(V_R, T_a), tc_prod(T_a, T_a)) )).
% 82.75/82.96 cnf(matrix-426, plain, ( c_in(c_Pair(V_x, c_ATP__Linkup_Osko__Transitive__Closure__Xconverse__tranclE__1__1(V_r, V_x, V_z, T_a), T_a, T_a), V_r, tc_prod(T_a, T_a)) | c_in(c_Pair(V_x, V_z, T_a, T_a), V_r, tc_prod(T_a, T_a)) | ~c_in(c_Pair(V_x, V_z, T_a, T_a), c_Transitive__Closure_Otrancl(V_r, T_a), tc_prod(T_a, T_a)) )).
% 82.75/82.96 cnf(matrix-427, plain, ( c_in(c_Pair(v_sko__Transitive__Closure__Xtrancl__Xcases__1(V_a1, V_a2, V_r), V_a2, t_a, t_a), V_r, tc_prod(t_a, t_a)) | c_in(c_Pair(V_a1, V_a2, t_a, t_a), V_r, tc_prod(t_a, t_a)) | ~c_in(c_Pair(V_a1, V_a2, t_a, t_a), c_Transitive__Closure_Otrancl(V_r, t_a), tc_prod(t_a, t_a)) )).
% 82.75/82.96 cnf(matrix-428, plain, ( c_in(c_Pair(c_ATP__Linkup_Osko__Relation__Xrel__compEpair__1__1(V_a, V_c, V_r, V_s, T_a, T_b, T_c), V_c, T_c, T_b), V_s, tc_prod(T_c, T_b)) | ~c_in(c_Pair(V_a, V_c, T_a, T_b), c_Relation_Orel__comp(V_r, V_s, T_a, T_c, T_b), tc_prod(T_a, T_b)) )).
% 82.75/82.96 cnf(matrix-429, plain, ( c_in(c_Pair(V_a, c_ATP__Linkup_Osko__Relation__Xrel__compEpair__1__1(V_a, V_c, V_r, V_s, T_a, T_b, T_c), T_a, T_c), V_r, tc_prod(T_a, T_c)) | ~c_in(c_Pair(V_a, V_c, T_a, T_b), c_Relation_Orel__comp(V_r, V_s, T_a, T_c, T_b), tc_prod(T_a, T_b)) )).
% 82.75/82.96 cnf(matrix-430, plain, ( c_in(V_f, c_FuncSet_OPi(V_A, V_B, T_a, T_b), tc_fun(T_a, T_b)) | c_in(c_FuncSet_Osko__FuncSet__XPi__I__1__1(V_A, V_B, V_f, T_a, T_b), V_A, T_a) )).
% 82.75/82.96 cnf(matrix-431, plain, ( c_in(V_f, c_FuncSet_OPi(V_A, V_B, T_a, T_b), tc_fun(T_a, T_b)) | c_in(c_FuncSet_Osko__FuncSet__XPi__I_H__1__1(V_A, V_B, V_f, T_a, T_b), V_A, T_a) )).
% 82.75/82.96 cnf(matrix-432, plain, ( c_in(V_f, c_FuncSet_OPi(V_A, V_B, T_a, T_b), tc_fun(T_a, T_b)) | ~c_in(hAPP(V_f, c_FuncSet_Osko__FuncSet__XPi__I__1__1(V_A, V_B, V_f, T_a, T_b)), hAPP(V_B, c_FuncSet_Osko__FuncSet__XPi__I__1__1(V_A, V_B, V_f, T_a, T_b)), T_b) )).
% 82.75/82.96 cnf(matrix-433, plain, ( c_in(hAPP(V_f, V_x), V_B, T_b) | ~c_in(V_x, V_A, T_a) | ~c_in(V_f, c_FuncSet_OPi(V_A, c_COMBK(V_B, tc_fun(T_b, tc_bool), T_a), T_a, T_b), tc_fun(T_a, T_b)) )).
% 82.75/82.96 cnf(matrix-434, plain, ( c_in(V_f, c_FuncSet_OPi(V_A, V_B, T_a, T_b), tc_fun(T_a, T_b)) | ~c_in(hAPP(V_f, c_FuncSet_Osko__FuncSet__XPi__I_H__1__1(V_A, V_B, V_f, T_a, T_b)), hAPP(V_B, c_FuncSet_Osko__FuncSet__XPi__I_H__1__1(V_A, V_B, V_f, T_a, T_b)), T_b) )).
% 82.75/82.96 cnf(matrix-435, plain, ( ( V_p = c_Pair(c_ATP__Linkup_Osko__Relation__XIdE__1__1(V_p, T_a), c_ATP__Linkup_Osko__Relation__XIdE__1__1(V_p, T_a), T_a, T_a)) | ~c_in(V_p, c_Relation_OId(T_a), tc_prod(T_a, T_a)) )).
% 82.75/82.96 cnf(matrix-436, plain, ( c_Wellfounded_Owf(V_r, T_a) | ~c_in(c_ATP__Linkup_Osko__Wellfounded__Xwf__acc__iff__1__1(V_r, T_a), c_Wellfounded_Oacc(V_r, T_a), T_a) )).
% 82.75/82.96 cnf(matrix-437, plain, ( c_Wellfounded_Owf(V_r, T_a) | ~c_in(c_ATP__Linkup_Osko__Wellfounded__Xacc__wfI__1__1(V_r, T_a), c_Wellfounded_Oacc(V_r, T_a), T_a) )).
% 82.75/82.96 cnf(matrix-438, plain, ( c_in(c_ATP__Linkup_Osko__Relation__XId__onE__1__1(V_A, V_c, T_a), V_A, T_a) | ~c_in(V_c, c_Relation_OId__on(V_A, T_a), tc_prod(T_a, T_a)) )).
% 82.75/82.96 cnf(matrix-439, plain, ( ( V_c = c_Pair(c_ATP__Linkup_Osko__Relation__XId__onE__1__1(V_A, V_c, T_a), c_ATP__Linkup_Osko__Relation__XId__onE__1__1(V_A, V_c, T_a), T_a, T_a)) | ~c_in(V_c, c_Relation_OId__on(V_A, T_a), tc_prod(T_a, T_a)) )).
% 82.75/82.96 cnf(matrix-440, plain, ( ( c_Recdef_Ocut(V_f, V_r, V_x, T_a, T_b) = c_Recdef_Ocut(V_g, V_r, V_x, T_a, T_b)) | c_in(c_Pair(c_List_Osko__Recdef__Xcuts__eq__1__1(V_f, V_g, V_r, V_x, T_a, T_b), V_x, T_a, T_a), V_r, tc_prod(T_a, T_a)) )).
% 82.75/82.96 cnf(matrix-441, plain, ( ( c_Lattices_Oupper__semilattice__class_Osup(c_Transitive__Closure_Otrancl(V_r, T_a), c_Relation_OId(T_a), tc_fun(tc_prod(T_a, T_a), tc_bool)) = c_Transitive__Closure_Ortrancl(V_r, T_a)) )).
% 82.75/82.96 cnf(matrix-442, plain, ( ( c_Transitive__Closure_Otrancl(c_Lattices_Oupper__semilattice__class_Osup(V_r, c_Relation_OId(T_a), tc_fun(tc_prod(T_a, T_a), tc_bool)), T_a) = c_Transitive__Closure_Ortrancl(V_r, T_a)) )).
% 82.75/82.96 cnf(matrix-443, plain, ( ( c_Transitive__Closure_Ortrancl(V_r, T_a) = c_Lattices_Oupper__semilattice__class_Osup(c_Transitive__Closure_Otrancl(V_r, T_a), c_Relation_OId(T_a), tc_fun(tc_prod(T_a, T_a), tc_bool))) )).
% 82.75/82.96 cnf(matrix-444, plain, ( ( c_Transitive__Closure_Ortrancl(V_r, T_a) = c_Lattices_Oupper__semilattice__class_Osup(c_Relation_OId(T_a), c_Relation_Orel__comp(c_Transitive__Closure_Ortrancl(V_r, T_a), V_r, T_a, T_a, T_a), tc_fun(tc_prod(T_a, T_a), tc_bool))) )).
% 82.75/82.96 cnf(matrix-445, plain, ( c_lessequals(V_r, c_Relation_Orel__comp(c_Relation_Oconverse(V_r, T_a, T_a), V_r, T_a, T_a, T_a), tc_fun(tc_prod(T_a, T_a), tc_bool)) | ~c_Relation_Orefl__on(V_A, V_r, T_a) )).
% 82.75/82.96 cnf(matrix-446, plain, ( ( c_Relation_ORange(v_r, t_a, t_b) = c_Relation_ODomain(c_Relation_Oconverse(v_r, t_a, t_b), t_b, t_a)) )).
% 82.75/82.96 cnf(matrix-447, plain, ( c_Relation_Oirrefl(V_r, T_a) | c_in(c_Pair(c_ATP__Linkup_Osko__Relation__Xirrefl__def__1__1(V_r, T_a), c_ATP__Linkup_Osko__Relation__Xirrefl__def__1__1(V_r, T_a), T_a, T_a), V_r, tc_prod(T_a, T_a)) )).
% 82.75/82.96 cnf(matrix-448, plain, ( ( c_Relation_OImage(V_R, c_Lattices_Olower__semilattice__class_Oinf(V_A, V_B, tc_fun(T_b, tc_bool)), T_b, T_a) = c_Lattices_Olower__semilattice__class_Oinf(c_Relation_OImage(V_R, V_A, T_b, T_a), c_Relation_OImage(V_R, V_B, T_b, T_a), tc_fun(T_a, tc_bool))) | ~c_Relation_Osingle__valued(c_Relation_Oconverse(V_R, T_b, T_a), T_a, T_b) )).
% 82.75/82.96 cnf(matrix-449, plain, ( c_Relation_Otrans(c_HOL_Ominus__class_Ominus(V_r, c_Relation_OId(T_a), tc_fun(tc_prod(T_a, T_a), tc_bool)), T_a) | ~c_Relation_Oantisym(V_r, T_a) | ~c_Relation_Otrans(V_r, T_a) )).
% 82.75/82.96 cnf(matrix-450, plain, ( c_Arrow__Order__Mirabelle_OIIA(V_F) | c_in(v_sko__Arrow__Order__Mirabelle__XIIA__def__2(V_F), c_Arrow__Order__Mirabelle_OProf, tc_fun(tc_Arrow__Order__Mirabelle_Oindi, tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt, tc_Arrow__Order__Mirabelle_Oalt), tc_bool))) )).
% 82.75/82.96 cnf(matrix-451, plain, ( c_Arrow__Order__Mirabelle_OIIA(V_F) | c_in(v_sko__Arrow__Order__Mirabelle__XIIA__def__3(V_F), c_Arrow__Order__Mirabelle_OProf, tc_fun(tc_Arrow__Order__Mirabelle_Oindi, tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt, tc_Arrow__Order__Mirabelle_Oalt), tc_bool))) )).
% 82.75/82.96 cnf(matrix-452, plain, ( c_Nitpick_Orefl_H(V_r, T_a) | ~c_in(c_Pair(c_Nitpick_Osko__Nitpick__Xrefl_H__def__1__1(V_r, T_a), c_Nitpick_Osko__Nitpick__Xrefl_H__def__1__1(V_r, T_a), T_a, T_a), V_r, tc_prod(T_a, T_a)) )).
% 82.75/82.96 cnf(matrix-453, plain, ( c_Arrow__Order__Mirabelle_Odictator(V_F, V_i) | c_in(v_sko__Arrow__Order__Mirabelle__Xdictator__def__1(V_F, V_i), c_Arrow__Order__Mirabelle_OProf, tc_fun(tc_Arrow__Order__Mirabelle_Oindi, tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt, tc_Arrow__Order__Mirabelle_Oalt), tc_bool))) )).
% 82.75/82.96 cnf(matrix-454, plain, ( c_Order__Relation_Ostrict__linear__order__on(V_A, V_r, T_a) | ~c_Relation_Ototal__on(V_A, V_r, T_a) | ~c_Relation_Oirrefl(V_r, T_a) | ~c_Relation_Otrans(V_r, T_a) )).
% 82.75/82.96 cnf(matrix-455, plain, ( c_Arrow__Order__Mirabelle_Ounanimity(V_F) | c_in(v_sko__Arrow__Order__Mirabelle__Xunanimity__def__2(V_F), c_Arrow__Order__Mirabelle_OProf, tc_fun(tc_Arrow__Order__Mirabelle_Oindi, tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt, tc_Arrow__Order__Mirabelle_Oalt), tc_bool))) )).
% 82.75/82.96 cnf(matrix-456, plain, ( ~c_in(V_y, V_Q, T_a) | ~c_in(c_Pair(V_y, c_ATP__Linkup_Osko__Wellfounded__XwfE__min__1__1(V_Q, V_R, T_a), T_a, T_a), V_R, tc_prod(T_a, T_a)) | ~c_in(V_x, V_Q, T_a) | ~c_Wellfounded_Owf(V_R, T_a) )).
% 82.75/82.96 cnf(matrix-457, plain, ( ~c_in(V_y, V_Q, T_a) | ~c_in(c_Pair(V_y, c_ATP__Linkup_Osko__Wellfounded__Xwf__eq__minimal__1__1(V_Q, V_r, T_a), T_a, T_a), V_r, tc_prod(T_a, T_a)) | ~c_in(V_xa, V_Q, T_a) | ~c_Wellfounded_Owf(V_r, T_a) )).
% 82.75/82.96 cnf(matrix-458, plain, ( c_in(hAPP(hAPP(V_f, V_a), V_b), c_Set_Oimage(c_split(V_f, T_a, T_b, T_c), V_A, tc_prod(T_a, T_b), T_c), T_c) | ~c_in(c_Pair(V_a, V_b, T_a, T_b), V_A, tc_prod(T_a, T_b)) )).
% 82.75/82.96 cnf(matrix-459, plain, ( c_in(c_Pair(c_ATP__Linkup_Osko__Relation__XImageE__1__1(V_A, V_b, V_r, T_b, T_a), V_b, T_b, T_a), V_r, tc_prod(T_b, T_a)) | ~c_in(V_b, c_Relation_OImage(V_r, V_A, T_b, T_a), T_a) )).
% 82.75/82.96 cnf(matrix-460, plain, ( c_in(c_Pair(c_ATP__Linkup_Osko__Relation__XImage__iff__1__1(V_A, V_b, V_r, T_b, T_a), V_b, T_b, T_a), V_r, tc_prod(T_b, T_a)) | ~c_in(V_b, c_Relation_OImage(V_r, V_A, T_b, T_a), T_a) )).
% 82.75/82.96 cnf(matrix-461, plain, ( c_in(c_Pair(V_a, c_ATP__Linkup_Osko__Relation__XDomainE__1__1(V_a, V_r, T_a, T_b), T_a, T_b), V_r, tc_prod(T_a, T_b)) | ~c_in(V_a, c_Relation_ODomain(V_r, T_a, T_b), T_a) )).
% 82.75/82.96 cnf(matrix-462, plain, ( c_in(c_Pair(V_a, c_ATP__Linkup_Osko__Relation__XDomain__iff__1__1(V_a, V_r, T_a, T_b), T_a, T_b), V_r, tc_prod(T_a, T_b)) | ~c_in(V_a, c_Relation_ODomain(V_r, T_a, T_b), T_a) )).
% 82.75/82.96 cnf(matrix-463, plain, ( c_in(c_Pair(c_ATP__Linkup_Osko__Wellfounded__Xnot__acc__down__1__1(V_R, V_x, T_a), V_x, T_a, T_a), V_R, tc_prod(T_a, T_a)) | c_in(V_x, c_Wellfounded_Oacc(V_R, T_a), T_a) )).
% 82.75/82.96 cnf(matrix-464, plain, ( hBOOL(hAPP(V_P, V_a)) | hBOOL(hAPP(V_P, V_y)) | ~c_in(c_Pair(V_y, c_ATP__Linkup_Osko__Wellfounded__Xacc__induct__rule__1__1(V_P, V_r, T_a), T_a, T_a), V_r, tc_prod(T_a, T_a)) | ~c_in(V_a, c_Wellfounded_Oacc(V_r, T_a), T_a) )).
% 82.75/82.96 cnf(matrix-465, plain, ( hBOOL(hAPP(V_P, V_x)) | hBOOL(hAPP(V_P, V_y)) | ~c_in(c_Pair(V_y, v_sko__Wellfounded__Xacc__Xinduct__1(V_P, V_r), t_a, t_a), V_r, tc_prod(t_a, t_a)) | ~c_in(V_x, c_Wellfounded_Oacc(V_r, t_a), t_a) )).
% 82.75/82.96 cnf(matrix-466, plain, ( c_in(V_x, c_Wellfounded_Oacc(V_r, T_a), T_a) | c_in(c_Pair(c_ATP__Linkup_Osko__Wellfounded__Xacc__Xintros__1__1(V_r, V_x, T_a), V_x, T_a, T_a), V_r, tc_prod(T_a, T_a)) )).
% 82.75/82.96 cnf(matrix-467, plain, ( hBOOL(hAPP(V_P, V_x)) | c_in(V_ya, c_Wellfounded_Oacc(V_r, t_a), t_a) | ~c_in(c_Pair(V_ya, v_sko__Wellfounded__Xacc__Xinducts__1(V_P, V_r), t_a, t_a), V_r, tc_prod(t_a, t_a)) | ~c_in(V_x, c_Wellfounded_Oacc(V_r, t_a), t_a) )).
% 82.75/82.96 cnf(matrix-468, plain, ( hBOOL(hAPP(V_P, V_x)) | hBOOL(hAPP(V_P, V_y)) | ~c_in(c_Pair(V_y, v_sko__Wellfounded__Xacc__Xinducts__1(V_P, V_r), t_a, t_a), V_r, tc_prod(t_a, t_a)) | ~c_in(V_x, c_Wellfounded_Oacc(V_r, t_a), t_a) )).
% 82.75/82.96 cnf(matrix-469, plain, ( hBOOL(hAPP(V_P, V_x)) | c_in(V_ya, c_Wellfounded_Oacc(V_r, t_a), t_a) | ~c_in(c_Pair(V_ya, v_sko__Wellfounded__Xacc__Xinduct__1(V_P, V_r), t_a, t_a), V_r, tc_prod(t_a, t_a)) | ~c_in(V_x, c_Wellfounded_Oacc(V_r, t_a), t_a) )).
% 82.75/82.96 cnf(matrix-470, plain, ( hBOOL(hAPP(V_P, V_a)) | hBOOL(hAPP(V_P, V_y)) | ~c_in(c_Pair(V_y, c_ATP__Linkup_Osko__Wellfounded__Xacc__induct__1__1(V_P, V_r, T_a), T_a, T_a), V_r, tc_prod(T_a, T_a)) | ~c_in(V_a, c_Wellfounded_Oacc(V_r, T_a), T_a) )).
% 82.75/82.96 cnf(matrix-471, plain, ( ~c_in(c_Pair(V_x, V_y, T_a, T_a), c_Transitive__Closure_Ortrancl(V_r, T_a), tc_prod(T_a, T_a)) | ~c_Wellfounded_Owf(c_Set_Oinsert(c_Pair(V_y, V_x, T_a, T_a), V_r, tc_prod(T_a, T_a)), T_a) )).
% 82.75/82.96 cnf(matrix-472, plain, ( c_Wellfounded_Owf(c_Set_Oinsert(c_Pair(V_y, V_x, T_a, T_a), V_r, tc_prod(T_a, T_a)), T_a) | c_in(c_Pair(V_x, V_y, T_a, T_a), c_Transitive__Closure_Ortrancl(V_r, T_a), tc_prod(T_a, T_a)) | ~c_Wellfounded_Owf(V_r, T_a) )).
% 82.75/82.96 cnf(matrix-473, plain, ( c_in(c_Pair(c_ATP__Linkup_Osko__Relation__XRangeE__1__1(V_b, V_r, T_a, T_b), V_b, T_b, T_a), V_r, tc_prod(T_b, T_a)) | ~c_in(V_b, c_Relation_ORange(V_r, T_b, T_a), T_a) )).
% 82.75/82.96 cnf(matrix-474, plain, ( c_in(c_Pair(c_ATP__Linkup_Osko__Relation__XRange__iff__1__1(V_a, V_r, T_a, T_b), V_a, T_b, T_a), V_r, tc_prod(T_b, T_a)) | ~c_in(V_a, c_Relation_ORange(V_r, T_b, T_a), T_a) )).
% 82.75/82.96 cnf(matrix-475, plain, ( c_in(c_Pair(V_x, c_ATP__Linkup_Osko__Transitive__Closure__XtranclD2__1__1(V_R, V_x, V_y, T_a), T_a, T_a), c_Transitive__Closure_Ortrancl(V_R, T_a), tc_prod(T_a, T_a)) | ~c_in(c_Pair(V_x, V_y, T_a, T_a), c_Transitive__Closure_Otrancl(V_R, T_a), tc_prod(T_a, T_a)) )).
% 82.75/82.96 cnf(matrix-476, plain, ( c_in(c_Pair(c_ATP__Linkup_Osko__Transitive__Closure__XtranclD__1__1(V_R, V_x, V_y, T_a), V_y, T_a, T_a), c_Transitive__Closure_Ortrancl(V_R, T_a), tc_prod(T_a, T_a)) | ~c_in(c_Pair(V_x, V_y, T_a, T_a), c_Transitive__Closure_Otrancl(V_R, T_a), tc_prod(T_a, T_a)) )).
% 82.75/82.96 cnf(matrix-477, plain, ( ~c_in(c_Pair(V_x, V_x, tc_Arrow__Order__Mirabelle_Oalt, tc_Arrow__Order__Mirabelle_Oalt), c_Arrow__Order__Mirabelle_Oabove(V_L, V_a, V_b), tc_prod(tc_Arrow__Order__Mirabelle_Oalt, tc_Arrow__Order__Mirabelle_Oalt)) | ~c_in(V_L, c_Arrow__Order__Mirabelle_OLin, tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt, tc_Arrow__Order__Mirabelle_Oalt), tc_bool)) | ( V_a = V_b) )).
% 82.75/82.96 cnf(matrix-478, plain, ( ~c_in(c_Pair(V_xa, V_a, tc_Arrow__Order__Mirabelle_Oalt, tc_Arrow__Order__Mirabelle_Oalt), V_L, tc_prod(tc_Arrow__Order__Mirabelle_Oalt, tc_Arrow__Order__Mirabelle_Oalt)) | ( V_xa = V_x) | ~c_in(V_L, c_Arrow__Order__Mirabelle_OLin, tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt, tc_Arrow__Order__Mirabelle_Oalt), tc_bool)) | ( V_a = V_x) | c_in(c_Pair(V_xa, V_x, tc_Arrow__Order__Mirabelle_Oalt, tc_Arrow__Order__Mirabelle_Oalt), c_Arrow__Order__Mirabelle_Oabove(V_L, V_a, V_x), tc_prod(tc_Arrow__Order__Mirabelle_Oalt, tc_Arrow__Order__Mirabelle_Oalt)) )).
% 82.75/82.96 cnf(matrix-479, plain, ( ( V_x = V_b) | ( V_x = V_y) | ~c_in(V_L, c_Arrow__Order__Mirabelle_OLin, tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt, tc_Arrow__Order__Mirabelle_Oalt), tc_bool)) | c_in(c_Pair(V_x, V_y, tc_Arrow__Order__Mirabelle_Oalt, tc_Arrow__Order__Mirabelle_Oalt), c_Arrow__Order__Mirabelle_Oabove(V_L, V_x, V_b), tc_prod(tc_Arrow__Order__Mirabelle_Oalt, tc_Arrow__Order__Mirabelle_Oalt)) | ~c_in(c_Pair(V_x, V_y, tc_Arrow__Order__Mirabelle_Oalt, tc_Arrow__Order__Mirabelle_Oalt), V_L, tc_prod(tc_Arrow__Order__Mirabelle_Oalt, tc_Arrow__Order__Mirabelle_Oalt)) )).
% 82.75/82.96 cnf(matrix-480, plain, ( c_in(c_Pair(V_x, V_y, tc_Arrow__Order__Mirabelle_Oalt, tc_Arrow__Order__Mirabelle_Oalt), V_L, tc_prod(tc_Arrow__Order__Mirabelle_Oalt, tc_Arrow__Order__Mirabelle_Oalt)) | ( V_y = V_b) | ( V_x = V_b) | ~c_in(c_Pair(V_x, V_y, tc_Arrow__Order__Mirabelle_Oalt, tc_Arrow__Order__Mirabelle_Oalt), c_Arrow__Order__Mirabelle_Oabove(V_L, V_a, V_b), tc_prod(tc_Arrow__Order__Mirabelle_Oalt, tc_Arrow__Order__Mirabelle_Oalt)) | ~c_in(V_L, c_Arrow__Order__Mirabelle_OLin, tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt, tc_Arrow__Order__Mirabelle_Oalt), tc_bool)) | ( V_a = V_b) )).
% 82.75/82.96 cnf(matrix-481, plain, ( ( V_xa = V_x) | ~c_in(c_Pair(V_xa, V_x, tc_Arrow__Order__Mirabelle_Oalt, tc_Arrow__Order__Mirabelle_Oalt), c_Arrow__Order__Mirabelle_Oabove(V_L, V_a, V_x), tc_prod(tc_Arrow__Order__Mirabelle_Oalt, tc_Arrow__Order__Mirabelle_Oalt)) | ~c_in(V_L, c_Arrow__Order__Mirabelle_OLin, tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt, tc_Arrow__Order__Mirabelle_Oalt), tc_bool)) | ( V_a = V_x) | c_in(c_Pair(V_xa, V_a, tc_Arrow__Order__Mirabelle_Oalt, tc_Arrow__Order__Mirabelle_Oalt), V_L, tc_prod(tc_Arrow__Order__Mirabelle_Oalt, tc_Arrow__Order__Mirabelle_Oalt)) | ( V_xa = V_a) )).
% 82.75/82.96 cnf(matrix-482, plain, ( ~c_in(c_Pair(V_x, V_y, tc_Arrow__Order__Mirabelle_Oalt, tc_Arrow__Order__Mirabelle_Oalt), c_Arrow__Order__Mirabelle_Oabove(V_L, V_a, V_x), tc_prod(tc_Arrow__Order__Mirabelle_Oalt, tc_Arrow__Order__Mirabelle_Oalt)) | ~c_in(V_L, c_Arrow__Order__Mirabelle_OLin, tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt, tc_Arrow__Order__Mirabelle_Oalt), tc_bool)) | ( V_a = V_x) | c_in(c_Pair(V_a, V_y, tc_Arrow__Order__Mirabelle_Oalt, tc_Arrow__Order__Mirabelle_Oalt), V_L, tc_prod(tc_Arrow__Order__Mirabelle_Oalt, tc_Arrow__Order__Mirabelle_Oalt)) )).
% 82.75/82.96 cnf(matrix-483, plain, ( c_in(c_Pair(V_x, V_y, tc_Arrow__Order__Mirabelle_Oalt, tc_Arrow__Order__Mirabelle_Oalt), c_Arrow__Order__Mirabelle_Oabove(V_L, V_a, V_b), tc_prod(tc_Arrow__Order__Mirabelle_Oalt, tc_Arrow__Order__Mirabelle_Oalt)) | ~c_in(c_Pair(V_x, V_y, tc_Arrow__Order__Mirabelle_Oalt, tc_Arrow__Order__Mirabelle_Oalt), V_L, tc_prod(tc_Arrow__Order__Mirabelle_Oalt, tc_Arrow__Order__Mirabelle_Oalt)) | ~c_in(c_Pair(V_x, V_a, tc_Arrow__Order__Mirabelle_Oalt, tc_Arrow__Order__Mirabelle_Oalt), V_L, tc_prod(tc_Arrow__Order__Mirabelle_Oalt, tc_Arrow__Order__Mirabelle_Oalt)) | ~c_in(c_Pair(V_a, V_y, tc_Arrow__Order__Mirabelle_Oalt, tc_Arrow__Order__Mirabelle_Oalt), V_L, tc_prod(tc_Arrow__Order__Mirabelle_Oalt, tc_Arrow__Order__Mirabelle_Oalt)) | ( V_x = V_y) | ~c_in(V_L, c_Arrow__Order__Mirabelle_OLin, tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt, tc_Arrow__Order__Mirabelle_Oalt), tc_bool)) | ( V_a = V_b) )).
% 82.75/82.96 cnf(matrix-484, plain, ( ~c_in(c_Pair(V_xa, V_x, tc_Arrow__Order__Mirabelle_Oalt, tc_Arrow__Order__Mirabelle_Oalt), V_L, tc_prod(tc_Arrow__Order__Mirabelle_Oalt, tc_Arrow__Order__Mirabelle_Oalt)) | ( V_xa = V_x) | ~c_in(V_L, c_Arrow__Order__Mirabelle_OLin, tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt, tc_Arrow__Order__Mirabelle_Oalt), tc_bool)) | c_in(c_Pair(V_xa, V_x, tc_Arrow__Order__Mirabelle_Oalt, tc_Arrow__Order__Mirabelle_Oalt), c_Arrow__Order__Mirabelle_Oabove(V_L, V_xa, V_x), tc_prod(tc_Arrow__Order__Mirabelle_Oalt, tc_Arrow__Order__Mirabelle_Oalt)) )).
% 82.75/82.96 cnf(matrix-485, plain, ( ~c_in(c_Pair(V_a, V_y, tc_Arrow__Order__Mirabelle_Oalt, tc_Arrow__Order__Mirabelle_Oalt), V_L, tc_prod(tc_Arrow__Order__Mirabelle_Oalt, tc_Arrow__Order__Mirabelle_Oalt)) | ( V_x = V_y) | ~c_in(V_L, c_Arrow__Order__Mirabelle_OLin, tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt, tc_Arrow__Order__Mirabelle_Oalt), tc_bool)) | ( V_a = V_x) | c_in(c_Pair(V_x, V_y, tc_Arrow__Order__Mirabelle_Oalt, tc_Arrow__Order__Mirabelle_Oalt), c_Arrow__Order__Mirabelle_Oabove(V_L, V_a, V_x), tc_prod(tc_Arrow__Order__Mirabelle_Oalt, tc_Arrow__Order__Mirabelle_Oalt)) )).
% 82.75/82.96 cnf(matrix-486, plain, ( c_in(c_Pair(V_x, V_y, tc_Arrow__Order__Mirabelle_Oalt, tc_Arrow__Order__Mirabelle_Oalt), c_Arrow__Order__Mirabelle_Oabove(V_L, V_a, V_b), tc_prod(tc_Arrow__Order__Mirabelle_Oalt, tc_Arrow__Order__Mirabelle_Oalt)) | ~c_in(c_Pair(V_x, V_y, tc_Arrow__Order__Mirabelle_Oalt, tc_Arrow__Order__Mirabelle_Oalt), V_L, tc_prod(tc_Arrow__Order__Mirabelle_Oalt, tc_Arrow__Order__Mirabelle_Oalt)) | ( V_y = V_b) | ( V_x = V_b) | ( V_x = V_y) | ~c_in(V_L, c_Arrow__Order__Mirabelle_OLin, tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt, tc_Arrow__Order__Mirabelle_Oalt), tc_bool)) | ( V_a = V_b) )).
% 82.75/82.96 cnf(matrix-487, plain, ( ~c_in(c_Pair(V_xa, V_a, tc_Arrow__Order__Mirabelle_Oalt, tc_Arrow__Order__Mirabelle_Oalt), V_L, tc_prod(tc_Arrow__Order__Mirabelle_Oalt, tc_Arrow__Order__Mirabelle_Oalt)) | ~c_in(c_Pair(V_a, V_x, tc_Arrow__Order__Mirabelle_Oalt, tc_Arrow__Order__Mirabelle_Oalt), V_L, tc_prod(tc_Arrow__Order__Mirabelle_Oalt, tc_Arrow__Order__Mirabelle_Oalt)) | ( V_xa = V_x) | ~c_in(V_L, c_Arrow__Order__Mirabelle_OLin, tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt, tc_Arrow__Order__Mirabelle_Oalt), tc_bool)) | ( V_a = V_x) | c_in(c_Pair(V_xa, V_x, tc_Arrow__Order__Mirabelle_Oalt, tc_Arrow__Order__Mirabelle_Oalt), c_Arrow__Order__Mirabelle_Oabove(V_L, V_a, V_x), tc_prod(tc_Arrow__Order__Mirabelle_Oalt, tc_Arrow__Order__Mirabelle_Oalt)) )).
% 82.75/82.96 cnf(matrix-488, plain, ( ~c_in(c_Pair(V_x, V_y, tc_Arrow__Order__Mirabelle_Oalt, tc_Arrow__Order__Mirabelle_Oalt), V_L, tc_prod(tc_Arrow__Order__Mirabelle_Oalt, tc_Arrow__Order__Mirabelle_Oalt)) | ( V_x = V_y) | ~c_in(V_L, c_Arrow__Order__Mirabelle_OLin, tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt, tc_Arrow__Order__Mirabelle_Oalt), tc_bool)) | ( V_x = V_b) | c_in(c_Pair(V_x, V_y, tc_Arrow__Order__Mirabelle_Oalt, tc_Arrow__Order__Mirabelle_Oalt), c_Arrow__Order__Mirabelle_Oabove(V_L, V_x, V_b), tc_prod(tc_Arrow__Order__Mirabelle_Oalt, tc_Arrow__Order__Mirabelle_Oalt)) )).
% 82.75/82.96 cnf(matrix-489, plain, ( c_in(c_Pair(V_x, V_y, tc_Arrow__Order__Mirabelle_Oalt, tc_Arrow__Order__Mirabelle_Oalt), c_Arrow__Order__Mirabelle_Oabove(V_L, V_a, V_b), tc_prod(tc_Arrow__Order__Mirabelle_Oalt, tc_Arrow__Order__Mirabelle_Oalt)) | ~c_in(c_Pair(V_x, V_y, tc_Arrow__Order__Mirabelle_Oalt, tc_Arrow__Order__Mirabelle_Oalt), V_L, tc_prod(tc_Arrow__Order__Mirabelle_Oalt, tc_Arrow__Order__Mirabelle_Oalt)) | ( V_y = V_b) | ~c_in(c_Pair(V_a, V_y, tc_Arrow__Order__Mirabelle_Oalt, tc_Arrow__Order__Mirabelle_Oalt), V_L, tc_prod(tc_Arrow__Order__Mirabelle_Oalt, tc_Arrow__Order__Mirabelle_Oalt)) | ( V_x = V_y) | ~c_in(V_L, c_Arrow__Order__Mirabelle_OLin, tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt, tc_Arrow__Order__Mirabelle_Oalt), tc_bool)) | ( V_a = V_b) )).
% 82.75/82.96 cnf(matrix-490, plain, ( c_in(c_Pair(V_x, V_y, tc_Arrow__Order__Mirabelle_Oalt, tc_Arrow__Order__Mirabelle_Oalt), c_Arrow__Order__Mirabelle_Oabove(V_L, V_a, V_b), tc_prod(tc_Arrow__Order__Mirabelle_Oalt, tc_Arrow__Order__Mirabelle_Oalt)) | ~c_in(c_Pair(V_x, V_y, tc_Arrow__Order__Mirabelle_Oalt, tc_Arrow__Order__Mirabelle_Oalt), V_L, tc_prod(tc_Arrow__Order__Mirabelle_Oalt, tc_Arrow__Order__Mirabelle_Oalt)) | ~c_in(c_Pair(V_x, V_a, tc_Arrow__Order__Mirabelle_Oalt, tc_Arrow__Order__Mirabelle_Oalt), V_L, tc_prod(tc_Arrow__Order__Mirabelle_Oalt, tc_Arrow__Order__Mirabelle_Oalt)) | ( V_x = V_b) | ( V_x = V_y) | ~c_in(V_L, c_Arrow__Order__Mirabelle_OLin, tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt, tc_Arrow__Order__Mirabelle_Oalt), tc_bool)) | ( V_a = V_b) )).
% 82.75/82.96 cnf(matrix-491, plain, ( ( V_xa = V_x) | ~c_in(V_L, c_Arrow__Order__Mirabelle_OLin, tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt, tc_Arrow__Order__Mirabelle_Oalt), tc_bool)) | c_in(c_Pair(V_xa, V_x, tc_Arrow__Order__Mirabelle_Oalt, tc_Arrow__Order__Mirabelle_Oalt), c_Arrow__Order__Mirabelle_Oabove(V_L, V_xa, V_x), tc_prod(tc_Arrow__Order__Mirabelle_Oalt, tc_Arrow__Order__Mirabelle_Oalt)) )).
% 82.75/82.96 cnf(matrix-492, plain, ( c_lessequals(c_Relation_Orel__comp(c_Relation_Oconverse(V_r, T_a, T_a), V_r, T_a, T_a, T_a), V_r, tc_fun(tc_prod(T_a, T_a), tc_bool)) | ~c_Relation_Otrans(V_r, T_a) | ~c_Relation_Osym(V_r, T_a) )).
% 82.75/82.96 cnf(matrix-493, plain, ( c_in(c_COMBK(V_L, tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt, tc_Arrow__Order__Mirabelle_Oalt), tc_bool), tc_Arrow__Order__Mirabelle_Oindi), c_Arrow__Order__Mirabelle_OProf, tc_fun(tc_Arrow__Order__Mirabelle_Oindi, tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt, tc_Arrow__Order__Mirabelle_Oalt), tc_bool))) | ~c_in(V_L, c_Arrow__Order__Mirabelle_OLin, tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt, tc_Arrow__Order__Mirabelle_Oalt), tc_bool)) )).
% 82.75/82.96 cnf(matrix-494, plain, ( ( V_X = V_Y) | ~c_in(c_Pair(V_x, V_y, T_a, T_a), V_r, tc_prod(T_a, T_a)) | ~c_in(V_y, V_Y, T_a) | ~c_in(V_x, V_X, T_a) | ~c_in(V_Y, c_Equiv__Relations_Oquotient(V_A, V_r, T_a), tc_fun(T_a, tc_bool)) | ~c_in(V_X, c_Equiv__Relations_Oquotient(V_A, V_r, T_a), tc_fun(T_a, tc_bool)) | ~c_Equiv__Relations_Oequiv(V_A, V_r, T_a) )).
% 82.75/82.96 cnf(matrix-495, plain, ( ~c_in(V_y, V_x, T_a) | ~c_in(V_xa, V_x, T_a) | ~c_in(V_x, c_Equiv__Relations_Oquotient(V_A, V_r, T_a), tc_fun(T_a, tc_bool)) | ~c_Equiv__Relations_Oequiv(V_A, V_r, T_a) | c_in(c_Pair(V_xa, V_y, T_a, T_a), V_r, tc_prod(T_a, T_a)) )).
% 82.75/82.96 cnf(matrix-496, plain, ( c_in(c_Pair(V_x, V_y, tc_Arrow__Order__Mirabelle_Oalt, tc_Arrow__Order__Mirabelle_Oalt), hAPP(hAPP(hAPP(c_Arrow__Order__Mirabelle_Obelow, V_L), V_a), V_b), tc_prod(tc_Arrow__Order__Mirabelle_Oalt, tc_Arrow__Order__Mirabelle_Oalt)) | ~c_in(c_Pair(V_x, V_y, tc_Arrow__Order__Mirabelle_Oalt, tc_Arrow__Order__Mirabelle_Oalt), V_L, tc_prod(tc_Arrow__Order__Mirabelle_Oalt, tc_Arrow__Order__Mirabelle_Oalt)) | ~c_in(c_Pair(V_b, V_y, tc_Arrow__Order__Mirabelle_Oalt, tc_Arrow__Order__Mirabelle_Oalt), V_L, tc_prod(tc_Arrow__Order__Mirabelle_Oalt, tc_Arrow__Order__Mirabelle_Oalt)) | ( V_y = V_a) | ( V_x = V_y) | ~c_in(V_L, c_Arrow__Order__Mirabelle_OLin, tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt, tc_Arrow__Order__Mirabelle_Oalt), tc_bool)) | ( V_a = V_b) )).
% 82.75/82.96 cnf(matrix-497, plain, ( ( V_xa = V_x) | ( V_x = V_xa) | ~c_in(V_L, c_Arrow__Order__Mirabelle_OLin, tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt, tc_Arrow__Order__Mirabelle_Oalt), tc_bool)) | c_in(c_Pair(V_x, V_xa, tc_Arrow__Order__Mirabelle_Oalt, tc_Arrow__Order__Mirabelle_Oalt), hAPP(hAPP(hAPP(c_Arrow__Order__Mirabelle_Obelow, V_L), V_x), V_xa), tc_prod(tc_Arrow__Order__Mirabelle_Oalt, tc_Arrow__Order__Mirabelle_Oalt)) )).
% 82.75/82.96 cnf(matrix-498, plain, ( ~c_in(c_Pair(V_x, V_x, tc_Arrow__Order__Mirabelle_Oalt, tc_Arrow__Order__Mirabelle_Oalt), hAPP(hAPP(hAPP(c_Arrow__Order__Mirabelle_Obelow, V_L), V_a), V_b), tc_prod(tc_Arrow__Order__Mirabelle_Oalt, tc_Arrow__Order__Mirabelle_Oalt)) | ~c_in(V_L, c_Arrow__Order__Mirabelle_OLin, tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt, tc_Arrow__Order__Mirabelle_Oalt), tc_bool)) | ( V_a = V_b) )).
% 82.75/82.96 cnf(matrix-499, plain, ( ~c_in(c_Pair(V_b, V_y, tc_Arrow__Order__Mirabelle_Oalt, tc_Arrow__Order__Mirabelle_Oalt), V_L, tc_prod(tc_Arrow__Order__Mirabelle_Oalt, tc_Arrow__Order__Mirabelle_Oalt)) | ( V_y = V_x) | ( V_x = V_y) | ~c_in(V_L, c_Arrow__Order__Mirabelle_OLin, tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt, tc_Arrow__Order__Mirabelle_Oalt), tc_bool)) | ( V_x = V_b) | c_in(c_Pair(V_x, V_y, tc_Arrow__Order__Mirabelle_Oalt, tc_Arrow__Order__Mirabelle_Oalt), hAPP(hAPP(hAPP(c_Arrow__Order__Mirabelle_Obelow, V_L), V_x), V_b), tc_prod(tc_Arrow__Order__Mirabelle_Oalt, tc_Arrow__Order__Mirabelle_Oalt)) )).
% 82.75/82.96 cnf(matrix-500, plain, ( ( V_x = V_a) | ( V_xa = V_x) | ~c_in(V_L, c_Arrow__Order__Mirabelle_OLin, tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt, tc_Arrow__Order__Mirabelle_Oalt), tc_bool)) | ( V_a = V_x) | c_in(c_Pair(V_xa, V_x, tc_Arrow__Order__Mirabelle_Oalt, tc_Arrow__Order__Mirabelle_Oalt), hAPP(hAPP(hAPP(c_Arrow__Order__Mirabelle_Obelow, V_L), V_a), V_x), tc_prod(tc_Arrow__Order__Mirabelle_Oalt, tc_Arrow__Order__Mirabelle_Oalt)) | ~c_in(c_Pair(V_xa, V_x, tc_Arrow__Order__Mirabelle_Oalt, tc_Arrow__Order__Mirabelle_Oalt), V_L, tc_prod(tc_Arrow__Order__Mirabelle_Oalt, tc_Arrow__Order__Mirabelle_Oalt)) )).
% 82.75/82.96 cnf(matrix-501, plain, ( c_in(c_Pair(V_x, V_y, tc_Arrow__Order__Mirabelle_Oalt, tc_Arrow__Order__Mirabelle_Oalt), V_L, tc_prod(tc_Arrow__Order__Mirabelle_Oalt, tc_Arrow__Order__Mirabelle_Oalt)) | ( V_x = V_a) | ( V_y = V_a) | ~c_in(c_Pair(V_x, V_y, tc_Arrow__Order__Mirabelle_Oalt, tc_Arrow__Order__Mirabelle_Oalt), hAPP(hAPP(hAPP(c_Arrow__Order__Mirabelle_Obelow, V_L), V_a), V_b), tc_prod(tc_Arrow__Order__Mirabelle_Oalt, tc_Arrow__Order__Mirabelle_Oalt)) | ~c_in(V_L, c_Arrow__Order__Mirabelle_OLin, tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt, tc_Arrow__Order__Mirabelle_Oalt), tc_bool)) | ( V_a = V_b) )).
% 82.75/82.96 cnf(matrix-502, plain, ( ( V_y = V_x) | ~c_in(c_Pair(V_x, V_y, tc_Arrow__Order__Mirabelle_Oalt, tc_Arrow__Order__Mirabelle_Oalt), hAPP(hAPP(hAPP(c_Arrow__Order__Mirabelle_Obelow, V_L), V_x), V_b), tc_prod(tc_Arrow__Order__Mirabelle_Oalt, tc_Arrow__Order__Mirabelle_Oalt)) | ~c_in(V_L, c_Arrow__Order__Mirabelle_OLin, tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt, tc_Arrow__Order__Mirabelle_Oalt), tc_bool)) | ( V_x = V_b) | c_in(c_Pair(V_b, V_y, tc_Arrow__Order__Mirabelle_Oalt, tc_Arrow__Order__Mirabelle_Oalt), V_L, tc_prod(tc_Arrow__Order__Mirabelle_Oalt, tc_Arrow__Order__Mirabelle_Oalt)) | ( V_y = V_b) )).
% 82.75/82.96 cnf(matrix-503, plain, ( ~c_in(c_Pair(V_xa, V_x, tc_Arrow__Order__Mirabelle_Oalt, tc_Arrow__Order__Mirabelle_Oalt), hAPP(hAPP(hAPP(c_Arrow__Order__Mirabelle_Obelow, V_L), V_x), V_b), tc_prod(tc_Arrow__Order__Mirabelle_Oalt, tc_Arrow__Order__Mirabelle_Oalt)) | ~c_in(V_L, c_Arrow__Order__Mirabelle_OLin, tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt, tc_Arrow__Order__Mirabelle_Oalt), tc_bool)) | ( V_x = V_b) | c_in(c_Pair(V_xa, V_b, tc_Arrow__Order__Mirabelle_Oalt, tc_Arrow__Order__Mirabelle_Oalt), V_L, tc_prod(tc_Arrow__Order__Mirabelle_Oalt, tc_Arrow__Order__Mirabelle_Oalt)) )).
% 82.75/82.96 cnf(matrix-504, plain, ( c_in(c_Pair(V_x, V_y, tc_Arrow__Order__Mirabelle_Oalt, tc_Arrow__Order__Mirabelle_Oalt), hAPP(hAPP(hAPP(c_Arrow__Order__Mirabelle_Obelow, V_L), V_a), V_b), tc_prod(tc_Arrow__Order__Mirabelle_Oalt, tc_Arrow__Order__Mirabelle_Oalt)) | ~c_in(c_Pair(V_x, V_y, tc_Arrow__Order__Mirabelle_Oalt, tc_Arrow__Order__Mirabelle_Oalt), V_L, tc_prod(tc_Arrow__Order__Mirabelle_Oalt, tc_Arrow__Order__Mirabelle_Oalt)) | ~c_in(c_Pair(V_b, V_y, tc_Arrow__Order__Mirabelle_Oalt, tc_Arrow__Order__Mirabelle_Oalt), V_L, tc_prod(tc_Arrow__Order__Mirabelle_Oalt, tc_Arrow__Order__Mirabelle_Oalt)) | ~c_in(c_Pair(V_x, V_b, tc_Arrow__Order__Mirabelle_Oalt, tc_Arrow__Order__Mirabelle_Oalt), V_L, tc_prod(tc_Arrow__Order__Mirabelle_Oalt, tc_Arrow__Order__Mirabelle_Oalt)) | ( V_x = V_y) | ~c_in(V_L, c_Arrow__Order__Mirabelle_OLin, tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt, tc_Arrow__Order__Mirabelle_Oalt), tc_bool)) | ( V_a = V_b) )).
% 82.75/82.96 cnf(matrix-505, plain, ( ~c_in(c_Pair(V_x, V_xa, tc_Arrow__Order__Mirabelle_Oalt, tc_Arrow__Order__Mirabelle_Oalt), V_L, tc_prod(tc_Arrow__Order__Mirabelle_Oalt, tc_Arrow__Order__Mirabelle_Oalt)) | ( V_x = V_xa) | ~c_in(V_L, c_Arrow__Order__Mirabelle_OLin, tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt, tc_Arrow__Order__Mirabelle_Oalt), tc_bool)) | c_in(c_Pair(V_x, V_xa, tc_Arrow__Order__Mirabelle_Oalt, tc_Arrow__Order__Mirabelle_Oalt), hAPP(hAPP(hAPP(c_Arrow__Order__Mirabelle_Obelow, V_L), V_x), V_xa), tc_prod(tc_Arrow__Order__Mirabelle_Oalt, tc_Arrow__Order__Mirabelle_Oalt)) )).
% 82.75/82.96 cnf(matrix-506, plain, ( ~c_in(c_Pair(V_xa, V_b, tc_Arrow__Order__Mirabelle_Oalt, tc_Arrow__Order__Mirabelle_Oalt), V_L, tc_prod(tc_Arrow__Order__Mirabelle_Oalt, tc_Arrow__Order__Mirabelle_Oalt)) | ( V_xa = V_x) | ~c_in(V_L, c_Arrow__Order__Mirabelle_OLin, tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt, tc_Arrow__Order__Mirabelle_Oalt), tc_bool)) | ( V_x = V_b) | c_in(c_Pair(V_xa, V_x, tc_Arrow__Order__Mirabelle_Oalt, tc_Arrow__Order__Mirabelle_Oalt), hAPP(hAPP(hAPP(c_Arrow__Order__Mirabelle_Obelow, V_L), V_x), V_b), tc_prod(tc_Arrow__Order__Mirabelle_Oalt, tc_Arrow__Order__Mirabelle_Oalt)) )).
% 82.75/82.96 cnf(matrix-507, plain, ( c_in(c_Pair(V_x, V_y, tc_Arrow__Order__Mirabelle_Oalt, tc_Arrow__Order__Mirabelle_Oalt), hAPP(hAPP(hAPP(c_Arrow__Order__Mirabelle_Obelow, V_L), V_a), V_b), tc_prod(tc_Arrow__Order__Mirabelle_Oalt, tc_Arrow__Order__Mirabelle_Oalt)) | ~c_in(c_Pair(V_x, V_y, tc_Arrow__Order__Mirabelle_Oalt, tc_Arrow__Order__Mirabelle_Oalt), V_L, tc_prod(tc_Arrow__Order__Mirabelle_Oalt, tc_Arrow__Order__Mirabelle_Oalt)) | ( V_x = V_a) | ~c_in(c_Pair(V_x, V_b, tc_Arrow__Order__Mirabelle_Oalt, tc_Arrow__Order__Mirabelle_Oalt), V_L, tc_prod(tc_Arrow__Order__Mirabelle_Oalt, tc_Arrow__Order__Mirabelle_Oalt)) | ( V_x = V_y) | ~c_in(V_L, c_Arrow__Order__Mirabelle_OLin, tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt, tc_Arrow__Order__Mirabelle_Oalt), tc_bool)) | ( V_a = V_b) )).
% 82.75/82.96 cnf(matrix-508, plain, ( ~c_in(c_Pair(V_xa, V_x, tc_Arrow__Order__Mirabelle_Oalt, tc_Arrow__Order__Mirabelle_Oalt), V_L, tc_prod(tc_Arrow__Order__Mirabelle_Oalt, tc_Arrow__Order__Mirabelle_Oalt)) | ( V_xa = V_x) | ~c_in(V_L, c_Arrow__Order__Mirabelle_OLin, tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt, tc_Arrow__Order__Mirabelle_Oalt), tc_bool)) | ( V_a = V_x) | c_in(c_Pair(V_xa, V_x, tc_Arrow__Order__Mirabelle_Oalt, tc_Arrow__Order__Mirabelle_Oalt), hAPP(hAPP(hAPP(c_Arrow__Order__Mirabelle_Obelow, V_L), V_a), V_x), tc_prod(tc_Arrow__Order__Mirabelle_Oalt, tc_Arrow__Order__Mirabelle_Oalt)) )).
% 82.75/82.96 cnf(matrix-509, plain, ( ~c_in(c_Pair(V_b, V_y, tc_Arrow__Order__Mirabelle_Oalt, tc_Arrow__Order__Mirabelle_Oalt), V_L, tc_prod(tc_Arrow__Order__Mirabelle_Oalt, tc_Arrow__Order__Mirabelle_Oalt)) | ~c_in(c_Pair(V_x, V_b, tc_Arrow__Order__Mirabelle_Oalt, tc_Arrow__Order__Mirabelle_Oalt), V_L, tc_prod(tc_Arrow__Order__Mirabelle_Oalt, tc_Arrow__Order__Mirabelle_Oalt)) | ( V_x = V_y) | ~c_in(V_L, c_Arrow__Order__Mirabelle_OLin, tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt, tc_Arrow__Order__Mirabelle_Oalt), tc_bool)) | ( V_x = V_b) | c_in(c_Pair(V_x, V_y, tc_Arrow__Order__Mirabelle_Oalt, tc_Arrow__Order__Mirabelle_Oalt), hAPP(hAPP(hAPP(c_Arrow__Order__Mirabelle_Obelow, V_L), V_x), V_b), tc_prod(tc_Arrow__Order__Mirabelle_Oalt, tc_Arrow__Order__Mirabelle_Oalt)) )).
% 82.75/82.96 cnf(matrix-510, plain, ( ( V_x = V_y) | ~c_in(c_Pair(V_x, V_y, T_a, T_a), c_Transitive__Closure_Ortrancl(V_R, T_a), tc_prod(T_a, T_a)) | c_in(V_x, c_Relation_ODomain(V_R, T_a, T_a), T_a) )).
% 82.75/82.96 cnf(matrix-511, plain, ( c_in(V_x, c_Relation_ODomain(V_R, T_a, T_a), T_a) | c_in(c_Pair(V_x, V_x, T_a, T_a), c_Transitive__Closure_Ortrancl(V_R, T_a), tc_prod(T_a, T_a)) )).
% 82.75/82.96 cnf(matrix-512, plain, ( c_in(V_b, c_Wellfounded_Oacc(V_r, T_a), T_a) | ~c_in(c_Pair(V_b, V_a, T_a, T_a), c_Transitive__Closure_Ortrancl(V_r, T_a), tc_prod(T_a, T_a)) | ~c_in(V_a, c_Wellfounded_Oacc(V_r, T_a), T_a) )).
% 82.75/82.96 cnf(matrix-513, plain, ( c_in(V_b, c_Wellfounded_Oacc(V_r, T_a), T_a) | ~c_in(V_a, c_Wellfounded_Oacc(V_r, T_a), T_a) | ~c_in(c_Pair(V_b, V_a, T_a, T_a), c_Transitive__Closure_Ortrancl(V_r, T_a), tc_prod(T_a, T_a)) )).
% 82.75/82.96 cnf(matrix-514, plain, ( ~c_in(c_Pair(V_b, V_a, tc_Arrow__Order__Mirabelle_Oalt, tc_Arrow__Order__Mirabelle_Oalt), V_L, tc_prod(tc_Arrow__Order__Mirabelle_Oalt, tc_Arrow__Order__Mirabelle_Oalt)) | ~c_in(c_Pair(V_a, V_b, tc_Arrow__Order__Mirabelle_Oalt, tc_Arrow__Order__Mirabelle_Oalt), V_L, tc_prod(tc_Arrow__Order__Mirabelle_Oalt, tc_Arrow__Order__Mirabelle_Oalt)) | ~c_in(V_L, c_Arrow__Order__Mirabelle_OLin, tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt, tc_Arrow__Order__Mirabelle_Oalt), tc_bool)) )).
% 82.75/82.96 cnf(matrix-515, plain, ( c_in(c_Pair(V_y, V_x, tc_Arrow__Order__Mirabelle_Oalt, tc_Arrow__Order__Mirabelle_Oalt), V_L, tc_prod(tc_Arrow__Order__Mirabelle_Oalt, tc_Arrow__Order__Mirabelle_Oalt)) | c_in(c_Pair(V_x, V_y, tc_Arrow__Order__Mirabelle_Oalt, tc_Arrow__Order__Mirabelle_Oalt), V_L, tc_prod(tc_Arrow__Order__Mirabelle_Oalt, tc_Arrow__Order__Mirabelle_Oalt)) | ( V_x = V_y) | ~c_in(V_L, c_Arrow__Order__Mirabelle_OLin, tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt, tc_Arrow__Order__Mirabelle_Oalt), tc_bool)) )).
% 82.75/82.96 cnf(matrix-516, plain, ( ~c_in(c_Pair(V_x, V_y, tc_Arrow__Order__Mirabelle_Oalt, tc_Arrow__Order__Mirabelle_Oalt), V_L, tc_prod(tc_Arrow__Order__Mirabelle_Oalt, tc_Arrow__Order__Mirabelle_Oalt)) | ~c_in(c_Pair(V_y, V_x, tc_Arrow__Order__Mirabelle_Oalt, tc_Arrow__Order__Mirabelle_Oalt), V_L, tc_prod(tc_Arrow__Order__Mirabelle_Oalt, tc_Arrow__Order__Mirabelle_Oalt)) | ( V_x = V_y) | ~c_in(V_L, c_Arrow__Order__Mirabelle_OLin, tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt, tc_Arrow__Order__Mirabelle_Oalt), tc_bool)) )).
% 82.75/82.96 cnf(matrix-517, plain, ( c_in(V_p, c_Transitive__Closure_Ortrancl(V_r, T_a), tc_prod(T_a, T_a)) | ~c_in(V_p, V_r, tc_prod(T_a, T_a)) )).
% 82.75/82.96 cnf(matrix-518, plain, ( c_in(V_p, c_Transitive__Closure_Otrancl(V_r, T_a), tc_prod(T_a, T_a)) | ~c_in(V_p, V_r, tc_prod(T_a, T_a)) )).
% 82.75/82.96 cnf(matrix-519, plain, ( c_in(c_Pair(V_a, V_c, T_a, T_a), c_Transitive__Closure_Otrancl(V_r, T_a), tc_prod(T_a, T_a)) | ~c_in(c_Pair(V_b, V_c, T_a, T_a), c_Transitive__Closure_Ortrancl(V_r, T_a), tc_prod(T_a, T_a)) | ~c_in(c_Pair(V_a, V_b, T_a, T_a), V_r, tc_prod(T_a, T_a)) )).
% 82.75/82.96 cnf(matrix-520, plain, ( c_in(c_Pair(V_a, V_c, T_a, T_a), c_Transitive__Closure_Otrancl(V_r, T_a), tc_prod(T_a, T_a)) | ~c_in(c_Pair(V_b, V_c, T_a, T_a), V_r, tc_prod(T_a, T_a)) | ~c_in(c_Pair(V_a, V_b, T_a, T_a), c_Transitive__Closure_Ortrancl(V_r, T_a), tc_prod(T_a, T_a)) )).
% 82.75/82.96 cnf(matrix-521, plain, ( c_in(c_Pair(V_x, V_y, T_a, T_a), c_Transitive__Closure_Ortrancl(V_R, T_a), tc_prod(T_a, T_a)) | ~c_in(c_Pair(V_x, V_y, T_a, T_a), c_Transitive__Closure_Otrancl(V_R, T_a), tc_prod(T_a, T_a)) | ( V_x = V_y) )).
% 82.75/82.96 cnf(matrix-522, plain, ( c_in(c_Pair(V_x, V_y, T_a, T_a), c_Transitive__Closure_Otrancl(V_R, T_a), tc_prod(T_a, T_a)) | ( V_x = V_y) | ~c_in(c_Pair(V_x, V_y, T_a, T_a), c_Transitive__Closure_Ortrancl(V_R, T_a), tc_prod(T_a, T_a)) )).
% 82.75/82.96 cnf(matrix-523, plain, ( c_in(c_Pair(V_a, V_b, T_a, T_a), c_Transitive__Closure_Otrancl(V_R, T_a), tc_prod(T_a, T_a)) | ( V_a = V_b) | ~c_in(c_Pair(V_a, V_b, T_a, T_a), c_Transitive__Closure_Ortrancl(V_R, T_a), tc_prod(T_a, T_a)) )).
% 82.75/82.96 cnf(matrix-524, plain, ( c_in(c_Pair(V_x, V_y, T_a, T_a), c_Transitive__Closure_Ortrancl(c_Relation_Oconverse(V_r, T_a, T_a), T_a), tc_prod(T_a, T_a)) | ~c_in(c_Pair(V_y, V_x, T_a, T_a), c_Transitive__Closure_Ortrancl(V_r, T_a), tc_prod(T_a, T_a)) )).
% 82.75/82.96 cnf(matrix-525, plain, ( c_in(c_Pair(V_y, V_x, T_a, T_a), c_Transitive__Closure_Ortrancl(V_r, T_a), tc_prod(T_a, T_a)) | ~c_in(c_Pair(V_x, V_y, T_a, T_a), c_Transitive__Closure_Ortrancl(c_Relation_Oconverse(V_r, T_a, T_a), T_a), tc_prod(T_a, T_a)) )).
% 82.75/82.96 cnf(matrix-526, plain, ( c_in(c_Pair(V_z, V_y, T_a, T_a), c_Transitive__Closure_Ortrancl(V_r, T_a), tc_prod(T_a, T_a)) | c_in(c_Pair(V_y, V_z, T_a, T_a), c_Transitive__Closure_Ortrancl(V_r, T_a), tc_prod(T_a, T_a)) | ~c_in(c_Pair(V_x, V_z, T_a, T_a), c_Transitive__Closure_Ortrancl(V_r, T_a), tc_prod(T_a, T_a)) | ~c_in(c_Pair(V_x, V_y, T_a, T_a), c_Transitive__Closure_Ortrancl(V_r, T_a), tc_prod(T_a, T_a)) | ~c_Relation_Osingle__valued(V_r, T_a, T_a) )).
% 82.75/82.96 cnf(matrix-527, plain, ( c_in(c_Pair(V_a, V_b, T_a, T_a), c_Transitive__Closure_Ortrancl(V_r, T_a), tc_prod(T_a, T_a)) | ~c_in(c_Pair(V_a, V_b, T_a, T_a), c_Transitive__Closure_Otrancl(V_r, T_a), tc_prod(T_a, T_a)) )).
% 82.75/82.96 cnf(matrix-528, plain, ( c_in(c_Pair(V_a, V_c, T_a, T_a), c_Transitive__Closure_Otrancl(V_r, T_a), tc_prod(T_a, T_a)) | ~c_in(c_Pair(V_b, V_c, T_a, T_a), c_Transitive__Closure_Ortrancl(V_r, T_a), tc_prod(T_a, T_a)) | ~c_in(c_Pair(V_a, V_b, T_a, T_a), c_Transitive__Closure_Otrancl(V_r, T_a), tc_prod(T_a, T_a)) )).
% 82.75/82.96 cnf(matrix-529, plain, ( c_in(c_Pair(V_x, V_z, T_a, T_a), c_Transitive__Closure_Otrancl(V_r, T_a), tc_prod(T_a, T_a)) | ~c_in(c_Pair(V_y, V_z, T_a, T_a), c_Transitive__Closure_Otrancl(V_r, T_a), tc_prod(T_a, T_a)) | ~c_in(c_Pair(V_x, V_y, T_a, T_a), c_Transitive__Closure_Ortrancl(V_r, T_a), tc_prod(T_a, T_a)) )).
% 82.75/82.96 cnf(matrix-530, plain, ( c_in(c_Pair(V_x, V_y, T_a, T_a), c_Relation_Oconverse(c_Transitive__Closure_Otrancl(V_r, T_a), T_a, T_a), tc_prod(T_a, T_a)) | ~c_in(c_Pair(V_x, V_y, T_a, T_a), c_Transitive__Closure_Otrancl(c_Relation_Oconverse(V_r, T_a, T_a), T_a), tc_prod(T_a, T_a)) )).
% 82.75/82.96 cnf(matrix-531, plain, ( c_in(c_Pair(V_x, V_y, T_a, T_a), c_Transitive__Closure_Otrancl(c_Relation_Oconverse(V_r, T_a, T_a), T_a), tc_prod(T_a, T_a)) | ~c_in(c_Pair(V_x, V_y, T_a, T_a), c_Relation_Oconverse(c_Transitive__Closure_Otrancl(V_r, T_a), T_a, T_a), tc_prod(T_a, T_a)) )).
% 82.75/82.96 cnf(matrix-532, plain, ( ( hAPP(c_split(V_f, T_b, T_c, T_a), c_Pair(V_a, V_b, T_b, T_c)) = hAPP(hAPP(V_f, V_a), V_b)) )).
% 82.75/82.96 cnf(matrix-533, plain, ( ( hAPP(c_split(V_f, T_a, T_b, T_c), c_Pair(V_a, V_b, T_a, T_b)) = hAPP(hAPP(V_f, V_a), V_b)) )).
% 82.75/82.96 cnf(matrix-534, plain, ( hBOOL(hAPP(hAPP(hAPP(V_R, V_a), V_b), V_c)) | ~hBOOL(hAPP(hAPP(c_split(V_R, T_a, T_b, tc_fun(T_c, tc_bool)), c_Pair(V_a, V_b, T_a, T_b)), V_c)) )).
% 82.75/82.96 cnf(matrix-535, plain, ( c_in(V_x, c_Wellfounded_Oacc(V_r, T_a), T_a) | ~c_Wellfounded_Owf(V_r, T_a) )).
% 82.75/82.96 cnf(matrix-536, plain, ( c_Relation_Osingle__valued(c_Relation_OId__on(V_A, T_a), T_a, T_a) )).
% 82.75/82.96 cnf(matrix-537, plain, ( c_Relation_Osym(c_Transitive__Closure_Otrancl(V_r, T_a), T_a) | ~c_Relation_Osym(V_r, T_a) )).
% 82.75/82.96 cnf(matrix-538, plain, ( ( c_Transitive__Closure_Otrancl(V_r, T_a) = V_r) | ~c_Relation_Otrans(V_r, T_a) )).
% 82.75/82.96 cnf(matrix-539, plain, ( c_Relation_Osym(V_r, T_a) | ~c_Relation_Osym(c_Relation_Oconverse(V_r, T_a, T_a), T_a) )).
% 82.75/82.96 cnf(matrix-540, plain, ( c_Relation_Osym(c_Relation_Oconverse(V_r, T_a, T_a), T_a) | ~c_Relation_Osym(V_r, T_a) )).
% 82.75/82.96 cnf(matrix-541, plain, ( ( c_Relation_ODomain(c_Transitive__Closure_Otrancl(V_r, T_a), T_a, T_a) = c_Relation_ODomain(V_r, T_a, T_a)) )).
% 82.75/82.96 cnf(matrix-542, plain, ( c_Arrow__Order__Mirabelle_Ounanimity(v_F) )).
% 82.75/82.96 cnf(matrix-543, plain, ( c_Relation_Osym(c_Relation_OId(T_a), T_a) )).
% 82.75/82.96 cnf(matrix-544, plain, ( c_Relation_Otrans(c_Relation_OId__on(V_A, T_a), T_a) )).
% 82.75/82.96 cnf(matrix-545, plain, ( ( c_Relation_Orel__comp(c_Relation_OId(T_a), V_R, T_a, T_a, T_b) = V_R) )).
% 82.75/82.96 cnf(matrix-546, plain, ( ( c_Relation_Orel__comp(V_R, c_Relation_OId(T_b), T_a, T_b, T_b) = V_R) )).
% 82.75/82.96 cnf(matrix-547, plain, ( c_Relation_Oantisym(c_Relation_OId__on(V_A, T_a), T_a) )).
% 82.75/82.96 cnf(matrix-548, plain, ( c_Wellfounded_Owf(c_Relation_Oconverse(c_Transitive__Closure_Otrancl(V_r, T_a), T_a, T_a), T_a) | ~c_Wellfounded_Owf(c_Relation_Oconverse(V_r, T_a, T_a), T_a) )).
% 82.75/82.96 cnf(matrix-549, plain, ( c_Relation_Orefl__on(V_A, V_r, T_a) | ~c_Relation_Orefl__on(V_A, c_Relation_Oconverse(V_r, T_a, T_a), T_a) )).
% 82.75/82.96 cnf(matrix-550, plain, ( c_Relation_Orefl__on(V_A, c_Relation_Oconverse(V_r, T_a, T_a), T_a) | ~c_Relation_Orefl__on(V_A, V_r, T_a) )).
% 82.75/82.96 cnf(matrix-551, plain, ( c_Relation_Osym(c_Transitive__Closure_Ortrancl(V_r, T_a), T_a) | ~c_Relation_Osym(V_r, T_a) )).
% 82.75/82.96 cnf(matrix-552, plain, ( c_Wellfounded_Owf(c_Relation_Orel__comp(V_R, V_R, T_a, T_a, T_a), T_a) | ~c_Wellfounded_Owf(V_R, T_a) )).
% 82.75/82.96 cnf(matrix-553, plain, ( c_Wellfounded_Owf(V_R, T_a) | ~c_Wellfounded_Owf(c_Relation_Orel__comp(V_R, V_R, T_a, T_a, T_a), T_a) )).
% 82.75/82.96 cnf(matrix-554, plain, ( ( c_Relation_OImage(c_Relation_OId(T_a), V_A, T_a, T_a) = V_A) )).
% 82.75/82.96 cnf(matrix-555, plain, ( c_Relation_Osingle__valued(c_Relation_OId(T_a), T_a, T_a) )).
% 82.75/82.96 cnf(matrix-556, plain, ( ( c_Relation_ODomain(c_Relation_OId__on(V_A, T_a), T_a, T_a) = V_A) )).
% 82.75/82.96 cnf(matrix-557, plain, ( ( c_Relation_Oconverse(V_r, T_a, T_a) = V_r) | ~c_Relation_Osym(V_r, T_a) )).
% 82.75/82.96 cnf(matrix-558, plain, ( ( c_Relation_Oconverse(V_r, T_a, T_a) != V_r) | c_Relation_Osym(V_r, T_a) )).
% 82.75/82.96 cnf(matrix-559, plain, ( ( c_Relation_ORange(c_Transitive__Closure_Otrancl(V_r, T_a), T_a, T_a) = c_Relation_ORange(V_r, T_a, T_a)) )).
% 82.75/82.96 cnf(matrix-560, plain, ( c_Relation_Otrans(c_Transitive__Closure_Otrancl(V_r, T_a), T_a) )).
% 82.75/82.96 cnf(matrix-561, plain, ( ( c_Relation_Oconverse(c_Relation_Orel__comp(V_r, V_s, T_b, T_c, T_a), T_b, T_a) = c_Relation_Orel__comp(c_Relation_Oconverse(V_s, T_c, T_a), c_Relation_Oconverse(V_r, T_b, T_c), T_a, T_c, T_b)) )).
% 82.75/82.96 cnf(matrix-562, plain, ( c_Relation_Osym(c_Relation_OId__on(V_A, T_a), T_a) )).
% 82.75/82.96 cnf(matrix-563, plain, ( c_Relation_Orefl__on(V_A, c_Relation_OId__on(V_A, T_a), T_a) )).
% 82.75/82.96 cnf(matrix-564, plain, ( c_Wellfounded_Owf(c_Relation_Oinv__image(V_r, V_f, T_a, T_b), T_b) | ~c_Wellfounded_Owf(V_r, T_a) )).
% 82.75/82.96 cnf(matrix-565, plain, ( ( c_Relation_Orel__comp(V_r, c_Transitive__Closure_Ortrancl(V_r, T_a), T_a, T_a, T_a) = c_Relation_Orel__comp(c_Transitive__Closure_Ortrancl(V_r, T_a), V_r, T_a, T_a, T_a)) )).
% 82.75/82.96 cnf(matrix-566, plain, ( c_Relation_Osym(c_Relation_Oinv__image(V_r, V_f, T_a, T_b), T_b) | ~c_Relation_Osym(V_r, T_a) )).
% 82.75/82.96 cnf(matrix-567, plain, ( ( c_Transitive__Closure_Otrancl(c_Transitive__Closure_Ortrancl(V_R, T_a), T_a) = c_Transitive__Closure_Ortrancl(V_R, T_a)) )).
% 82.75/82.96 cnf(matrix-568, plain, ( c_Relation_Otrans(c_Transitive__Closure_Ortrancl(V_r, T_a), T_a) )).
% 82.75/82.96 cnf(matrix-569, plain, ( c_Relation_Otrans(V_r, T_a) | ~c_Relation_Otrans(c_Relation_Oconverse(V_r, T_a, T_a), T_a) )).
% 82.75/82.96 cnf(matrix-570, plain, ( c_Relation_Otrans(c_Relation_Oconverse(V_r, T_a, T_a), T_a) | ~c_Relation_Otrans(V_r, T_a) )).
% 82.75/82.96 cnf(matrix-571, plain, ( ( c_Relation_Oconverse(c_Relation_OId(T_a), T_a, T_a) = c_Relation_OId(T_a)) )).
% 82.75/82.96 cnf(matrix-572, plain, ( c_Wellfounded_Owf(c_Transitive__Closure_Otrancl(V_r, T_a), T_a) | ~c_Wellfounded_Owf(V_r, T_a) )).
% 82.75/82.96 cnf(matrix-573, plain, ( ( c_Relation_Orel__comp(c_Relation_Orel__comp(V_R, V_S, T_a, T_d, T_c), V_T, T_a, T_c, T_b) = c_Relation_Orel__comp(V_R, c_Relation_Orel__comp(V_S, V_T, T_d, T_c, T_b), T_a, T_d, T_b)) )).
% 82.75/82.96 cnf(matrix-574, plain, ( ( c_Relation_Oconverse(c_Relation_Oinv__image(V_R, V_f, T_b, T_a), T_a, T_a) = c_Relation_Oinv__image(c_Relation_Oconverse(V_R, T_b, T_b), V_f, T_b, T_a)) )).
% 82.75/82.96 cnf(matrix-575, plain, ( ( c_Transitive__Closure_Otrancl(c_Relation_Oconverse(V_r, T_a, T_a), T_a) = c_Relation_Oconverse(c_Transitive__Closure_Otrancl(V_r, T_a), T_a, T_a)) )).
% 82.75/82.96 cnf(matrix-576, plain, ( c_Relation_Otrans(c_Relation_Oinv__image(V_r, V_f, T_a, T_b), T_b) | ~c_Relation_Otrans(V_r, T_a) )).
% 82.75/82.96 cnf(matrix-577, plain, ( c_Arrow__Order__Mirabelle_OIIA(v_F) )).
% 82.75/82.96 cnf(matrix-578, plain, ( ( c_Relation_Oconverse(c_Relation_OId__on(V_A, T_a), T_a, T_a) = c_Relation_OId__on(V_A, T_a)) )).
% 82.75/82.96 cnf(matrix-579, plain, ( ( c_Relation_Orel__comp(c_Relation_Oconverse(V_r, T_a, T_a), V_r, T_a, T_a, T_a) != V_r) | c_Equiv__Relations_Oequiv(c_Relation_ODomain(V_r, T_a, T_a), V_r, T_a) )).
% 82.75/82.96 cnf(matrix-580, plain, ( c_Relation_Oantisym(c_Relation_OId(T_a), T_a) )).
% 82.75/82.96 cnf(matrix-581, plain, ( ( c_Relation_ORange(c_Relation_Oconverse(V_r, T_a, T_b), T_b, T_a) = c_Relation_ODomain(V_r, T_a, T_b)) )).
% 82.75/82.96 cnf(matrix-582, plain, ( ( c_Relation_ORange(c_Relation_OId__on(V_A, T_a), T_a, T_a) = V_A) )).
% 82.75/82.96 cnf(matrix-583, plain, ( c_Relation_Osingle__valued(c_Relation_Orel__comp(V_r, V_s, T_a, T_b, T_c), T_a, T_c) | ~c_Relation_Osingle__valued(V_s, T_b, T_c) | ~c_Relation_Osingle__valued(V_r, T_a, T_b) )).
% 82.75/82.96 cnf(matrix-584, plain, ( ( c_Relation_Oconverse(c_Relation_Oconverse(V_r, T_a, T_b), T_b, T_a) = V_r) )).
% 82.75/82.96 cnf(matrix-585, plain, ( c_Relation_Otrans(c_Relation_OId(T_a), T_a) )).
% 82.75/82.96 cnf(matrix-586, plain, ( ( c_Relation_Orel__comp(c_Relation_Oconverse(V_r, T_a, T_a), V_r, T_a, T_a, T_a) = V_r) | ~c_Equiv__Relations_Oequiv(V_A, V_r, T_a) )).
% 82.75/82.96 cnf(matrix-587, plain, ( ( c_Relation_Orel__comp(c_Transitive__Closure_Ortrancl(V_R, T_a), c_Transitive__Closure_Ortrancl(V_R, T_a), T_a, T_a, T_a) = c_Transitive__Closure_Ortrancl(V_R, T_a)) )).
% 82.75/82.96 cnf(matrix-588, plain, ( c_Relation_Oantisym(V_r, T_a) | ~c_Relation_Oantisym(c_Relation_Oconverse(V_r, T_a, T_a), T_a) )).
% 82.75/82.96 cnf(matrix-589, plain, ( c_Relation_Oantisym(c_Relation_Oconverse(V_r, T_a, T_a), T_a) | ~c_Relation_Oantisym(V_r, T_a) )).
% 82.75/82.96 cnf(matrix-590, plain, ( c_Relation_Orefl__on(V_A, V_r, T_a) | ~c_Equiv__Relations_Oequiv(V_A, V_r, T_a) )).
% 82.75/82.96 cnf(matrix-591, plain, ( ( c_Transitive__Closure_Ortrancl(c_Relation_Oconverse(V_r, T_a, T_a), T_a) = c_Relation_Oconverse(c_Transitive__Closure_Ortrancl(V_r, T_a), T_a, T_a)) )).
% 82.75/82.96 cnf(matrix-592, plain, ( c_Relation_Osym(V_r, T_a) | ~c_Equiv__Relations_Oequiv(V_A, V_r, T_a) )).
% 82.75/82.96 cnf(matrix-593, plain, ( c_in(hAPP(hAPP(hAPP(c_Arrow__Order__Mirabelle_Obelow, V_L), V_x), V_y), c_Arrow__Order__Mirabelle_OLin, tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt, tc_Arrow__Order__Mirabelle_Oalt), tc_bool)) | ~c_in(V_L, c_Arrow__Order__Mirabelle_OLin, tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt, tc_Arrow__Order__Mirabelle_Oalt), tc_bool)) | ( V_x = V_y) )).
% 82.75/82.96 cnf(matrix-594, plain, ( c_Equiv__Relations_Ocongruent(V_r2, hAPP(V_f, V_a), T_b, T_c) | ~c_in(V_a, V_A, T_a) | ~c_Equiv__Relations_Ocongruent2(V_r1, V_r2, V_f, T_a, T_b, T_c) | ~c_Equiv__Relations_Oequiv(V_A, V_r1, T_a) )).
% 82.75/82.96 cnf(matrix-595, plain, ( c_in(c_Arrow__Order__Mirabelle_Omkbot(V_L, V_x), c_Arrow__Order__Mirabelle_OLin, tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt, tc_Arrow__Order__Mirabelle_Oalt), tc_bool)) | ~c_in(V_L, c_Arrow__Order__Mirabelle_OLin, tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt, tc_Arrow__Order__Mirabelle_Oalt), tc_bool)) )).
% 82.75/82.96 cnf(matrix-596, plain, ( c_in(c_Arrow__Order__Mirabelle_Omktop(V_L, V_x), c_Arrow__Order__Mirabelle_OLin, tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt, tc_Arrow__Order__Mirabelle_Oalt), tc_bool)) | ~c_in(V_L, c_Arrow__Order__Mirabelle_OLin, tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt, tc_Arrow__Order__Mirabelle_Oalt), tc_bool)) )).
% 82.75/82.96 cnf(matrix-597, plain, ( c_in(v_sko__Arrow__Order__Mirabelle__Xcomplete__Lin__1(V_a, V_b), c_Arrow__Order__Mirabelle_OLin, tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt, tc_Arrow__Order__Mirabelle_Oalt), tc_bool)) | ( V_a = V_b) )).
% 82.75/82.96 cnf(matrix-598, plain, ( ( c_Relation_ODomain(c_Relation_Oconverse(V_r, T_b, T_a), T_a, T_b) = c_Relation_ORange(V_r, T_b, T_a)) )).
% 82.75/82.96 cnf(matrix-599, plain, ( ( c_Transitive__Closure_Otrancl(V_r, T_a) = c_Relation_Orel__comp(c_Transitive__Closure_Ortrancl(V_r, T_a), V_r, T_a, T_a, T_a)) )).
% 82.75/82.96 cnf(matrix-600, plain, ( ( c_Transitive__Closure_Otrancl(V_r, T_a) = c_Relation_Orel__comp(V_r, c_Transitive__Closure_Ortrancl(V_r, T_a), T_a, T_a, T_a)) )).
% 82.75/82.96 cnf(matrix-601, plain, ( ( c_Relation_ORange(V_r, T_b, T_a) = c_Relation_ODomain(c_Relation_Oconverse(V_r, T_b, T_a), T_a, T_b)) )).
% 82.75/82.96 cnf(matrix-602, plain, ( c_Relation_Ototal__on(V_A, V_r, T_a) | ~c_Relation_Ototal__on(V_A, c_Relation_Oconverse(V_r, T_a, T_a), T_a) )).
% 82.75/82.96 cnf(matrix-603, plain, ( c_Relation_Ototal__on(V_A, c_Relation_Oconverse(V_r, T_a, T_a), T_a) | ~c_Relation_Ototal__on(V_A, V_r, T_a) )).
% 82.75/82.96 cnf(matrix-604, plain, ( c_Relation_Otrans(V_r, T_a) | ~c_Equiv__Relations_Oequiv(V_A, V_r, T_a) )).
% 82.75/82.96 cnf(matrix-605, plain, ( ( c_Transitive__Closure_Ortrancl(c_Transitive__Closure_Otrancl(V_R, T_a), T_a) = c_Transitive__Closure_Ortrancl(V_R, T_a)) )).
% 82.75/82.96 cnf(matrix-606, plain, ( ( c_Transitive__Closure_Ortrancl(c_Transitive__Closure_Ortrancl(V_r, T_a), T_a) = c_Transitive__Closure_Ortrancl(V_r, T_a)) )).
% 82.75/82.96 cnf(matrix-607, plain, ( c_in(c_Pair(V_x, V_y, tc_Arrow__Order__Mirabelle_Oalt, tc_Arrow__Order__Mirabelle_Oalt), hAPP(hAPP(hAPP(c_Arrow__Order__Mirabelle_Obelow, V_L), V_a), V_b), tc_prod(tc_Arrow__Order__Mirabelle_Oalt, tc_Arrow__Order__Mirabelle_Oalt)) | ~c_in(c_Pair(V_x, V_y, tc_Arrow__Order__Mirabelle_Oalt, tc_Arrow__Order__Mirabelle_Oalt), V_L, tc_prod(tc_Arrow__Order__Mirabelle_Oalt, tc_Arrow__Order__Mirabelle_Oalt)) | ( V_x = V_a) | ( V_y = V_a) | ( V_x = V_y) | ~c_in(V_L, c_Arrow__Order__Mirabelle_OLin, tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt, tc_Arrow__Order__Mirabelle_Oalt), tc_bool)) | ( V_a = V_b) )).
% 82.75/82.96 cnf(matrix-608, plain, ( c_in(V_z, hAPP(c_split(V_c, T_b, T_c, tc_fun(T_a, tc_bool)), c_Pair(V_a, V_b, T_b, T_c)), T_a) | ~c_in(V_z, hAPP(hAPP(V_c, V_a), V_b), T_a) )).
% 82.75/82.96 cnf(matrix-609, plain, ( ( hAPP(hAPP(V_f, V_y1), V_y2) = hAPP(hAPP(V_f, V_z1), V_z2)) | ~c_in(c_Pair(V_y2, V_z2, T_b, T_b), V_r2, tc_prod(T_b, T_b)) | ~c_in(c_Pair(V_y1, V_z1, T_a, T_a), V_r1, tc_prod(T_a, T_a)) | ~c_Equiv__Relations_Ocongruent2(V_r1, V_r2, V_f, T_a, T_b, T_c) )).
% 82.75/82.96 cnf(matrix-610, plain, ( ( V_y = V_z) | ~c_in(c_Pair(V_x, V_z, T_a, T_b), V_r, tc_prod(T_a, T_b)) | ~c_in(c_Pair(V_x, V_y, T_a, T_b), V_r, tc_prod(T_a, T_b)) | ~c_Relation_Osingle__valued(V_r, T_a, T_b) )).
% 82.75/82.96 cnf(matrix-611, plain, ( ( hAPP(c_Recdef_Ocut(V_f, V_R, V_a, T_a, T_b), V_x) = hAPP(V_f, V_x)) | ~c_in(c_Pair(V_x, V_a, T_a, T_a), V_R, tc_prod(T_a, T_a)) )).
% 82.75/82.96 cnf(matrix-612, plain, ( ( hAPP(c_Recdef_Ocut(V_f, V_r, V_a, T_a, T_b), V_x) = hAPP(V_f, V_x)) | ~c_in(c_Pair(V_x, V_a, T_a, T_a), V_r, tc_prod(T_a, T_a)) )).
% 82.75/82.96 cnf(matrix-613, plain, ( c_FunDef_Oin__rel(V_R, V_x, V_y, T_a, T_b) | ~c_in(c_Pair(V_x, V_y, T_a, T_b), V_R, tc_prod(T_a, T_b)) )).
% 82.75/82.96 cnf(matrix-614, plain, ( c_in(c_Pair(V_x, V_y, T_a, T_b), V_R, tc_prod(T_a, T_b)) | ~c_FunDef_Oin__rel(V_R, V_x, V_y, T_a, T_b) )).
% 82.75/82.96 cnf(matrix-615, plain, ( c_in(c_Pair(V_x, V_z, T_a, T_a), V_r, tc_prod(T_a, T_a)) | ~c_in(c_Pair(V_y, V_z, T_a, T_a), V_r, tc_prod(T_a, T_a)) | ~c_in(c_Pair(V_x, V_y, T_a, T_a), V_r, tc_prod(T_a, T_a)) | ~c_Relation_Otrans(V_r, T_a) )).
% 82.75/82.96 cnf(matrix-616, plain, ( c_in(c_Pair(V_a, V_c, T_a, T_a), V_r, tc_prod(T_a, T_a)) | ~c_in(c_Pair(V_b, V_c, T_a, T_a), V_r, tc_prod(T_a, T_a)) | ~c_in(c_Pair(V_a, V_b, T_a, T_a), V_r, tc_prod(T_a, T_a)) | ~c_Relation_Otrans(V_r, T_a) )).
% 82.75/82.96 cnf(matrix-617, plain, ( c_in(c_Pair(V_a, V_b, T_a, T_b), c_Relation_Oconverse(V_r, T_b, T_a), tc_prod(T_a, T_b)) | ~c_in(c_Pair(V_b, V_a, T_b, T_a), V_r, tc_prod(T_b, T_a)) )).
% 82.75/82.96 cnf(matrix-618, plain, ( c_in(c_Pair(V_b, V_a, T_b, T_a), c_Relation_Oconverse(V_r, T_a, T_b), tc_prod(T_b, T_a)) | ~c_in(c_Pair(V_a, V_b, T_a, T_b), V_r, tc_prod(T_a, T_b)) )).
% 82.75/82.96 cnf(matrix-619, plain, ( c_in(c_Pair(V_b, V_a, T_b, T_a), V_r, tc_prod(T_b, T_a)) | ~c_in(c_Pair(V_a, V_b, T_a, T_b), c_Relation_Oconverse(V_r, T_b, T_a), tc_prod(T_a, T_b)) )).
% 82.75/82.96 cnf(matrix-620, plain, ( ~c_in(c_Pair(V_x, V_x, T_a, T_a), V_r, tc_prod(T_a, T_a)) | ~c_Relation_Oirrefl(V_r, T_a) )).
% 82.75/82.96 cnf(matrix-621, plain, ( c_in(c_Pair(V_a, V_c, T_a, T_a), c_Transitive__Closure_Otrancl(V_r, T_a), tc_prod(T_a, T_a)) | ~c_in(c_Pair(V_b, V_c, T_a, T_a), V_r, tc_prod(T_a, T_a)) | ~c_in(c_Pair(V_a, V_b, T_a, T_a), c_Transitive__Closure_Otrancl(V_r, T_a), tc_prod(T_a, T_a)) )).
% 82.75/82.96 cnf(matrix-622, plain, ( c_in(c_Pair(V_a, V_c, T_a, T_a), c_Transitive__Closure_Otrancl(V_r, T_a), tc_prod(T_a, T_a)) | ~c_in(c_Pair(V_b, V_c, T_a, T_a), c_Transitive__Closure_Otrancl(V_r, T_a), tc_prod(T_a, T_a)) | ~c_in(c_Pair(V_a, V_b, T_a, T_a), V_r, tc_prod(T_a, T_a)) )).
% 82.75/82.96 cnf(matrix-623, plain, ( c_in(c_Pair(V_a, V_c, T_a, T_a), c_Transitive__Closure_Ortrancl(V_r, T_a), tc_prod(T_a, T_a)) | ~c_in(c_Pair(V_b, V_c, T_a, T_a), V_r, tc_prod(T_a, T_a)) | ~c_in(c_Pair(V_a, V_b, T_a, T_a), c_Transitive__Closure_Ortrancl(V_r, T_a), tc_prod(T_a, T_a)) )).
% 82.75/82.96 cnf(matrix-624, plain, ( c_in(c_Pair(V_a, V_c, T_a, T_a), c_Transitive__Closure_Ortrancl(V_r, T_a), tc_prod(T_a, T_a)) | ~c_in(c_Pair(V_b, V_c, T_a, T_a), c_Transitive__Closure_Ortrancl(V_r, T_a), tc_prod(T_a, T_a)) | ~c_in(c_Pair(V_a, V_b, T_a, T_a), V_r, tc_prod(T_a, T_a)) )).
% 82.75/82.96 cnf(matrix-625, plain, ( c_in(c_Pair(V_a, V_b, T_a, T_a), c_Transitive__Closure_Otrancl(V_r, T_a), tc_prod(T_a, T_a)) | ~c_in(c_Pair(V_a, V_b, T_a, T_a), V_r, tc_prod(T_a, T_a)) )).
% 82.75/82.96 cnf(matrix-626, plain, ( c_in(c_Pair(V_a, V_c, T_a, T_a), c_Transitive__Closure_Ortrancl(V_r, T_a), tc_prod(T_a, T_a)) | ~c_in(c_Pair(V_b, V_c, T_a, T_a), c_Transitive__Closure_Ortrancl(V_r, T_a), tc_prod(T_a, T_a)) | ~c_in(c_Pair(V_a, V_b, T_a, T_a), c_Transitive__Closure_Ortrancl(V_r, T_a), tc_prod(T_a, T_a)) )).
% 82.75/82.96 cnf(matrix-627, plain, ( c_in(c_Pair(V_a, V_a, T_a, T_a), c_Transitive__Closure_Ortrancl(V_r, T_a), tc_prod(T_a, T_a)) )).
% 82.75/82.96 cnf(matrix-628, plain, ( c_in(c_Pair(V_x, V_x, T_a, T_a), c_Transitive__Closure_Ortrancl(V_R, T_a), tc_prod(T_a, T_a)) )).
% 82.75/82.96 cnf(matrix-629, plain, ( ~c_in(c_Pair(V_x, V_a, T_a, T_a), V_r, tc_prod(T_a, T_a)) | ~c_in(c_Pair(V_a, V_x, T_a, T_a), V_r, tc_prod(T_a, T_a)) | ~c_Wellfounded_Owf(V_r, T_a) )).
% 82.75/82.96 cnf(matrix-630, plain, ( ( V_x = V_y) | ~c_in(c_Pair(V_y, V_x, T_a, T_a), V_r, tc_prod(T_a, T_a)) | ~c_in(c_Pair(V_x, V_y, T_a, T_a), V_r, tc_prod(T_a, T_a)) | ~c_Relation_Oantisym(V_r, T_a) )).
% 82.75/82.96 cnf(matrix-631, plain, ( ( V_a = V_b) | ~c_in(c_Pair(V_b, V_a, T_a, T_a), V_r, tc_prod(T_a, T_a)) | ~c_in(c_Pair(V_a, V_b, T_a, T_a), V_r, tc_prod(T_a, T_a)) | ~c_Relation_Oantisym(V_r, T_a) )).
% 82.75/82.96 cnf(matrix-632, plain, ( ( hAPP(V_f, V_y) = hAPP(V_f, V_z)) | ~c_in(c_Pair(V_y, V_z, T_a, T_a), V_r, tc_prod(T_a, T_a)) | ~c_Equiv__Relations_Ocongruent(V_r, V_f, T_a, T_b) )).
% 82.75/82.96 cnf(matrix-633, plain, ( ( V_x = V_y) | ~c_in(c_Pair(V_x, V_y, T_a, T_a), c_Relation_OId__on(V_A, T_a), tc_prod(T_a, T_a)) )).
% 82.75/82.96 cnf(matrix-634, plain, ( ( c_Recdef_Ocut(V_f, V_r, V_x, T_a, T_b) != c_Recdef_Ocut(V_g, V_r, V_x, T_a, T_b)) | ( hAPP(V_f, V_y) = hAPP(V_g, V_y)) | ~c_in(c_Pair(V_y, V_x, T_a, T_a), V_r, tc_prod(T_a, T_a)) )).
% 82.75/82.96 cnf(matrix-635, plain, ( ( V_a = V_b) | ~c_in(c_Pair(V_a, V_b, T_a, T_a), c_Relation_OId(T_a), tc_prod(T_a, T_a)) )).
% 82.75/82.96 cnf(matrix-636, plain, ( c_in(c_Pair(V_x, V_x, T_a, T_a), V_r, tc_prod(T_a, T_a)) | ~c_Nitpick_Orefl_H(V_r, T_a) )).
% 82.75/82.96 cnf(matrix-637, plain, ( ~c_in(c_Pair(V_a, V_a, T_a, T_a), V_r, tc_prod(T_a, T_a)) | ~c_Wellfounded_Owf(V_r, T_a) )).
% 82.75/82.96 cnf(matrix-638, plain, ( c_in(c_Pair(V_x, V_y, T_a, T_a), c_Relation_Oinv__image(V_r, V_f, T_b, T_a), tc_prod(T_a, T_a)) | ~c_in(c_Pair(hAPP(V_f, V_x), hAPP(V_f, V_y), T_b, T_b), V_r, tc_prod(T_b, T_b)) )).
% 82.75/82.96 cnf(matrix-639, plain, ( c_in(c_Pair(hAPP(V_f, V_x), hAPP(V_f, V_y), T_b, T_b), V_r, tc_prod(T_b, T_b)) | ~c_in(c_Pair(V_x, V_y, T_a, T_a), c_Relation_Oinv__image(V_r, V_f, T_b, T_a), tc_prod(T_a, T_a)) )).
% 82.75/82.96 cnf(matrix-640, plain, ( c_in(c_Pair(V_y, V_x, T_a, T_a), V_r, tc_prod(T_a, T_a)) | ~c_in(c_Pair(V_x, V_y, T_a, T_a), V_r, tc_prod(T_a, T_a)) | ~c_Relation_Osym(V_r, T_a) )).
% 82.75/82.96 cnf(matrix-641, plain, ( c_in(c_Pair(V_b, V_a, T_a, T_a), V_r, tc_prod(T_a, T_a)) | ~c_in(c_Pair(V_a, V_b, T_a, T_a), V_r, tc_prod(T_a, T_a)) | ~c_Relation_Osym(V_r, T_a) )).
% 82.75/82.96 cnf(matrix-642, plain, ( c_in(c_Pair(V_a, V_c, T_a, T_c), c_Relation_Orel__comp(V_r, V_s, T_a, T_b, T_c), tc_prod(T_a, T_c)) | ~c_in(c_Pair(V_b, V_c, T_b, T_c), V_s, tc_prod(T_b, T_c)) | ~c_in(c_Pair(V_a, V_b, T_a, T_b), V_r, tc_prod(T_a, T_b)) )).
% 82.75/82.96 cnf(matrix-643, plain, ( c_in(c_Pair(V_a, V_c, T_a, T_a), c_Transitive__Closure_Otrancl(V_R, T_a), tc_prod(T_a, T_a)) | ~c_in(c_Pair(V_b, V_c, T_a, T_a), V_R, tc_prod(T_a, T_a)) | ~c_in(c_Pair(V_a, V_b, T_a, T_a), V_R, tc_prod(T_a, T_a)) )).
% 82.75/82.96 cnf(matrix-644, plain, ( c_in(c_Pair(V_a, V_c, T_a, T_a), c_Transitive__Closure_Otrancl(V_r, T_a), tc_prod(T_a, T_a)) | ~c_in(c_Pair(V_b, V_c, T_a, T_a), c_Transitive__Closure_Otrancl(V_r, T_a), tc_prod(T_a, T_a)) | ~c_in(c_Pair(V_a, V_b, T_a, T_a), c_Transitive__Closure_Otrancl(V_r, T_a), tc_prod(T_a, T_a)) )).
% 82.75/82.96 cnf(matrix-645, plain, ( c_in(c_Pair(V_x, V_x, T_a, T_a), c_Relation_OId(T_a), tc_prod(T_a, T_a)) )).
% 82.75/82.96 cnf(matrix-646, plain, ( c_in(c_Pair(V_a, V_a, T_a, T_a), c_Relation_OId(T_a), tc_prod(T_a, T_a)) )).
% 82.75/82.96 cnf(matrix-647, plain, ( c_in(hAPP(V_f, V_x), hAPP(V_B, V_x), T_b) | ~c_in(V_x, V_A, T_a) | ~c_in(V_f, c_FuncSet_OPi(V_A, V_B, T_a, T_b), tc_fun(T_a, T_b)) )).
% 82.75/82.96 cnf(matrix-648, plain, ( ~c_in(V_x, V_A, T_a) | c_in(hAPP(V_f, V_x), hAPP(V_B, V_x), T_b) | ~c_in(V_f, c_FuncSet_OPi(V_A, V_B, T_a, T_b), tc_fun(T_a, T_b)) )).
% 82.75/82.96 cnf(matrix-649, plain, ( c_in(c_Pair(V_x, V_y, tc_Arrow__Order__Mirabelle_Oalt, tc_Arrow__Order__Mirabelle_Oalt), c_Arrow__Order__Mirabelle_Omktop(V_L, V_z), tc_prod(tc_Arrow__Order__Mirabelle_Oalt, tc_Arrow__Order__Mirabelle_Oalt)) | ~c_in(c_Pair(V_x, V_y, tc_Arrow__Order__Mirabelle_Oalt, tc_Arrow__Order__Mirabelle_Oalt), V_L, tc_prod(tc_Arrow__Order__Mirabelle_Oalt, tc_Arrow__Order__Mirabelle_Oalt)) | ( V_x = V_y) | ( V_x = V_z) )).
% 82.75/82.96 cnf(matrix-650, plain, ( c_in(c_Pair(V_x, V_y, tc_Arrow__Order__Mirabelle_Oalt, tc_Arrow__Order__Mirabelle_Oalt), c_Arrow__Order__Mirabelle_Omktop(V_L, V_z), tc_prod(tc_Arrow__Order__Mirabelle_Oalt, tc_Arrow__Order__Mirabelle_Oalt)) | ~c_in(c_Pair(V_x, V_y, tc_Arrow__Order__Mirabelle_Oalt, tc_Arrow__Order__Mirabelle_Oalt), V_L, tc_prod(tc_Arrow__Order__Mirabelle_Oalt, tc_Arrow__Order__Mirabelle_Oalt)) | ( V_y = V_z) | ( V_x = V_z) )).
% 82.75/82.96 cnf(matrix-651, plain, ( ~c_in(c_Pair(V_x, V_x, tc_Arrow__Order__Mirabelle_Oalt, tc_Arrow__Order__Mirabelle_Oalt), c_Arrow__Order__Mirabelle_Omktop(V_L, V_x), tc_prod(tc_Arrow__Order__Mirabelle_Oalt, tc_Arrow__Order__Mirabelle_Oalt)) )).
% 82.75/82.96 cnf(matrix-652, plain, ( ~c_in(c_Pair(V_x, V_y, tc_Arrow__Order__Mirabelle_Oalt, tc_Arrow__Order__Mirabelle_Oalt), c_Arrow__Order__Mirabelle_Omktop(V_L, V_x), tc_prod(tc_Arrow__Order__Mirabelle_Oalt, tc_Arrow__Order__Mirabelle_Oalt)) )).
% 82.75/82.96 cnf(matrix-653, plain, ( c_in(c_Pair(V_x, V_y, tc_Arrow__Order__Mirabelle_Oalt, tc_Arrow__Order__Mirabelle_Oalt), V_L, tc_prod(tc_Arrow__Order__Mirabelle_Oalt, tc_Arrow__Order__Mirabelle_Oalt)) | ( V_y = V_z) | ~c_in(c_Pair(V_x, V_y, tc_Arrow__Order__Mirabelle_Oalt, tc_Arrow__Order__Mirabelle_Oalt), c_Arrow__Order__Mirabelle_Omktop(V_L, V_z), tc_prod(tc_Arrow__Order__Mirabelle_Oalt, tc_Arrow__Order__Mirabelle_Oalt)) )).
% 82.75/82.96 cnf(matrix-654, plain, ( ( V_x = V_y) | ( V_y = V_x) | c_in(c_Pair(V_x, V_y, tc_Arrow__Order__Mirabelle_Oalt, tc_Arrow__Order__Mirabelle_Oalt), c_Arrow__Order__Mirabelle_Omkbot(V_L, V_x), tc_prod(tc_Arrow__Order__Mirabelle_Oalt, tc_Arrow__Order__Mirabelle_Oalt)) )).
% 82.75/82.96 cnf(matrix-655, plain, ( ~c_in(c_Pair(V_x, V_x, tc_Arrow__Order__Mirabelle_Oalt, tc_Arrow__Order__Mirabelle_Oalt), c_Arrow__Order__Mirabelle_Omkbot(V_L, V_x), tc_prod(tc_Arrow__Order__Mirabelle_Oalt, tc_Arrow__Order__Mirabelle_Oalt)) )).
% 82.75/82.96 cnf(matrix-656, plain, ( ~c_in(c_Pair(V_xa, V_x, tc_Arrow__Order__Mirabelle_Oalt, tc_Arrow__Order__Mirabelle_Oalt), c_Arrow__Order__Mirabelle_Omkbot(V_L, V_x), tc_prod(tc_Arrow__Order__Mirabelle_Oalt, tc_Arrow__Order__Mirabelle_Oalt)) )).
% 82.75/82.96 cnf(matrix-657, plain, ( c_in(c_Pair(V_x, V_y, tc_Arrow__Order__Mirabelle_Oalt, tc_Arrow__Order__Mirabelle_Oalt), c_Arrow__Order__Mirabelle_Omkbot(V_L, V_z), tc_prod(tc_Arrow__Order__Mirabelle_Oalt, tc_Arrow__Order__Mirabelle_Oalt)) | ~c_in(c_Pair(V_x, V_y, tc_Arrow__Order__Mirabelle_Oalt, tc_Arrow__Order__Mirabelle_Oalt), V_L, tc_prod(tc_Arrow__Order__Mirabelle_Oalt, tc_Arrow__Order__Mirabelle_Oalt)) | ( V_x = V_y) | ( V_y = V_z) )).
% 82.75/82.96 cnf(matrix-658, plain, ( c_in(c_Pair(V_x, V_y, tc_Arrow__Order__Mirabelle_Oalt, tc_Arrow__Order__Mirabelle_Oalt), c_Arrow__Order__Mirabelle_Omkbot(V_L, V_z), tc_prod(tc_Arrow__Order__Mirabelle_Oalt, tc_Arrow__Order__Mirabelle_Oalt)) | ~c_in(c_Pair(V_x, V_y, tc_Arrow__Order__Mirabelle_Oalt, tc_Arrow__Order__Mirabelle_Oalt), V_L, tc_prod(tc_Arrow__Order__Mirabelle_Oalt, tc_Arrow__Order__Mirabelle_Oalt)) | ( V_x = V_z) | ( V_y = V_z) )).
% 82.75/82.96 cnf(matrix-659, plain, ( ( V_xa = V_x) | c_in(c_Pair(V_xa, V_x, tc_Arrow__Order__Mirabelle_Oalt, tc_Arrow__Order__Mirabelle_Oalt), c_Arrow__Order__Mirabelle_Omktop(V_L, V_x), tc_prod(tc_Arrow__Order__Mirabelle_Oalt, tc_Arrow__Order__Mirabelle_Oalt)) )).
% 82.75/82.96 cnf(matrix-660, plain, ( c_in(c_Pair(V_x, V_y, tc_Arrow__Order__Mirabelle_Oalt, tc_Arrow__Order__Mirabelle_Oalt), V_L, tc_prod(tc_Arrow__Order__Mirabelle_Oalt, tc_Arrow__Order__Mirabelle_Oalt)) | ( V_x = V_z) | ~c_in(c_Pair(V_x, V_y, tc_Arrow__Order__Mirabelle_Oalt, tc_Arrow__Order__Mirabelle_Oalt), c_Arrow__Order__Mirabelle_Omkbot(V_L, V_z), tc_prod(tc_Arrow__Order__Mirabelle_Oalt, tc_Arrow__Order__Mirabelle_Oalt)) )).
% 82.75/82.96 cnf(matrix-661, plain, ( c_in(c_Pair(V_a, V_b, tc_Arrow__Order__Mirabelle_Oalt, tc_Arrow__Order__Mirabelle_Oalt), v_sko__Arrow__Order__Mirabelle__Xcomplete__Lin__1(V_a, V_b), tc_prod(tc_Arrow__Order__Mirabelle_Oalt, tc_Arrow__Order__Mirabelle_Oalt)) | ( V_a = V_b) )).
% 82.75/82.96 cnf(matrix-662, plain, ( c_in(c_Pair(V_a, V_b, tc_Arrow__Order__Mirabelle_Oalt, tc_Arrow__Order__Mirabelle_Oalt), hAPP(V_F, V_x), tc_prod(tc_Arrow__Order__Mirabelle_Oalt, tc_Arrow__Order__Mirabelle_Oalt)) | ~c_in(c_Pair(V_a, V_b, tc_Arrow__Order__Mirabelle_Oalt, tc_Arrow__Order__Mirabelle_Oalt), hAPP(V_F, V_xa), tc_prod(tc_Arrow__Order__Mirabelle_Oalt, tc_Arrow__Order__Mirabelle_Oalt)) | ~c_in(c_Pair(V_a, V_b, tc_Arrow__Order__Mirabelle_Oalt, tc_Arrow__Order__Mirabelle_Oalt), hAPP(V_xa, v_sko__Arrow__Order__Mirabelle__XIIA__def__1(V_a, V_b, V_x, V_xa)), tc_prod(tc_Arrow__Order__Mirabelle_Oalt, tc_Arrow__Order__Mirabelle_Oalt)) | ~c_in(c_Pair(V_a, V_b, tc_Arrow__Order__Mirabelle_Oalt, tc_Arrow__Order__Mirabelle_Oalt), hAPP(V_x, v_sko__Arrow__Order__Mirabelle__XIIA__def__1(V_a, V_b, V_x, V_xa)), tc_prod(tc_Arrow__Order__Mirabelle_Oalt, tc_Arrow__Order__Mirabelle_Oalt)) | ~c_in(V_xa, c_Arrow__Order__Mirabelle_OProf, tc_fun(tc_Arrow__Order__Mirabelle_Oindi, tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt, tc_Arrow__Order__Mirabelle_Oalt), tc_bool))) | ~c_in(V_x, c_Arrow__Order__Mirabelle_OProf, tc_fun(tc_Arrow__Order__Mirabelle_Oindi, tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt, tc_Arrow__Order__Mirabelle_Oalt), tc_bool))) | ~c_Arrow__Order__Mirabelle_OIIA(V_F) )).
% 82.75/82.96 cnf(matrix-663, plain, ( c_in(c_Pair(V_a, V_b, tc_Arrow__Order__Mirabelle_Oalt, tc_Arrow__Order__Mirabelle_Oalt), hAPP(V_F, V_xa), tc_prod(tc_Arrow__Order__Mirabelle_Oalt, tc_Arrow__Order__Mirabelle_Oalt)) | ~c_in(c_Pair(V_a, V_b, tc_Arrow__Order__Mirabelle_Oalt, tc_Arrow__Order__Mirabelle_Oalt), hAPP(V_F, V_x), tc_prod(tc_Arrow__Order__Mirabelle_Oalt, tc_Arrow__Order__Mirabelle_Oalt)) | ~c_in(c_Pair(V_a, V_b, tc_Arrow__Order__Mirabelle_Oalt, tc_Arrow__Order__Mirabelle_Oalt), hAPP(V_xa, v_sko__Arrow__Order__Mirabelle__XIIA__def__1(V_a, V_b, V_x, V_xa)), tc_prod(tc_Arrow__Order__Mirabelle_Oalt, tc_Arrow__Order__Mirabelle_Oalt)) | ~c_in(c_Pair(V_a, V_b, tc_Arrow__Order__Mirabelle_Oalt, tc_Arrow__Order__Mirabelle_Oalt), hAPP(V_x, v_sko__Arrow__Order__Mirabelle__XIIA__def__1(V_a, V_b, V_x, V_xa)), tc_prod(tc_Arrow__Order__Mirabelle_Oalt, tc_Arrow__Order__Mirabelle_Oalt)) | ~c_in(V_xa, c_Arrow__Order__Mirabelle_OProf, tc_fun(tc_Arrow__Order__Mirabelle_Oindi, tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt, tc_Arrow__Order__Mirabelle_Oalt), tc_bool))) | ~c_in(V_x, c_Arrow__Order__Mirabelle_OProf, tc_fun(tc_Arrow__Order__Mirabelle_Oindi, tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt, tc_Arrow__Order__Mirabelle_Oalt), tc_bool))) | ~c_Arrow__Order__Mirabelle_OIIA(V_F) )).
% 82.75/82.96 cnf(matrix-664, plain, ( c_in(c_Pair(V_a, V_b, tc_Arrow__Order__Mirabelle_Oalt, tc_Arrow__Order__Mirabelle_Oalt), hAPP(V_F, V_x), tc_prod(tc_Arrow__Order__Mirabelle_Oalt, tc_Arrow__Order__Mirabelle_Oalt)) | ~c_in(c_Pair(V_a, V_b, tc_Arrow__Order__Mirabelle_Oalt, tc_Arrow__Order__Mirabelle_Oalt), hAPP(V_F, V_xa), tc_prod(tc_Arrow__Order__Mirabelle_Oalt, tc_Arrow__Order__Mirabelle_Oalt)) | c_in(c_Pair(V_a, V_b, tc_Arrow__Order__Mirabelle_Oalt, tc_Arrow__Order__Mirabelle_Oalt), hAPP(V_xa, v_sko__Arrow__Order__Mirabelle__XIIA__def__1(V_a, V_b, V_x, V_xa)), tc_prod(tc_Arrow__Order__Mirabelle_Oalt, tc_Arrow__Order__Mirabelle_Oalt)) | c_in(c_Pair(V_a, V_b, tc_Arrow__Order__Mirabelle_Oalt, tc_Arrow__Order__Mirabelle_Oalt), hAPP(V_x, v_sko__Arrow__Order__Mirabelle__XIIA__def__1(V_a, V_b, V_x, V_xa)), tc_prod(tc_Arrow__Order__Mirabelle_Oalt, tc_Arrow__Order__Mirabelle_Oalt)) | ~c_in(V_xa, c_Arrow__Order__Mirabelle_OProf, tc_fun(tc_Arrow__Order__Mirabelle_Oindi, tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt, tc_Arrow__Order__Mirabelle_Oalt), tc_bool))) | ~c_in(V_x, c_Arrow__Order__Mirabelle_OProf, tc_fun(tc_Arrow__Order__Mirabelle_Oindi, tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt, tc_Arrow__Order__Mirabelle_Oalt), tc_bool))) | ~c_Arrow__Order__Mirabelle_OIIA(V_F) )).
% 82.75/82.96 cnf(matrix-665, plain, ( c_in(c_Pair(V_a, V_b, tc_Arrow__Order__Mirabelle_Oalt, tc_Arrow__Order__Mirabelle_Oalt), hAPP(V_F, V_xa), tc_prod(tc_Arrow__Order__Mirabelle_Oalt, tc_Arrow__Order__Mirabelle_Oalt)) | ~c_in(c_Pair(V_a, V_b, tc_Arrow__Order__Mirabelle_Oalt, tc_Arrow__Order__Mirabelle_Oalt), hAPP(V_F, V_x), tc_prod(tc_Arrow__Order__Mirabelle_Oalt, tc_Arrow__Order__Mirabelle_Oalt)) | c_in(c_Pair(V_a, V_b, tc_Arrow__Order__Mirabelle_Oalt, tc_Arrow__Order__Mirabelle_Oalt), hAPP(V_xa, v_sko__Arrow__Order__Mirabelle__XIIA__def__1(V_a, V_b, V_x, V_xa)), tc_prod(tc_Arrow__Order__Mirabelle_Oalt, tc_Arrow__Order__Mirabelle_Oalt)) | c_in(c_Pair(V_a, V_b, tc_Arrow__Order__Mirabelle_Oalt, tc_Arrow__Order__Mirabelle_Oalt), hAPP(V_x, v_sko__Arrow__Order__Mirabelle__XIIA__def__1(V_a, V_b, V_x, V_xa)), tc_prod(tc_Arrow__Order__Mirabelle_Oalt, tc_Arrow__Order__Mirabelle_Oalt)) | ~c_in(V_xa, c_Arrow__Order__Mirabelle_OProf, tc_fun(tc_Arrow__Order__Mirabelle_Oindi, tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt, tc_Arrow__Order__Mirabelle_Oalt), tc_bool))) | ~c_in(V_x, c_Arrow__Order__Mirabelle_OProf, tc_fun(tc_Arrow__Order__Mirabelle_Oindi, tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt, tc_Arrow__Order__Mirabelle_Oalt), tc_bool))) | ~c_Arrow__Order__Mirabelle_OIIA(V_F) )).
% 82.75/82.96 cnf(matrix-666, plain, ( c_in(c_Pair(V_a, V_b, tc_Arrow__Order__Mirabelle_Oalt, tc_Arrow__Order__Mirabelle_Oalt), hAPP(V_F, V_x), tc_prod(tc_Arrow__Order__Mirabelle_Oalt, tc_Arrow__Order__Mirabelle_Oalt)) | ~c_in(c_Pair(V_a, V_b, tc_Arrow__Order__Mirabelle_Oalt, tc_Arrow__Order__Mirabelle_Oalt), hAPP(V_x, v_sko__Arrow__Order__Mirabelle__Xunanimity__def__1(V_a, V_b, V_x)), tc_prod(tc_Arrow__Order__Mirabelle_Oalt, tc_Arrow__Order__Mirabelle_Oalt)) | ~c_in(V_x, c_Arrow__Order__Mirabelle_OProf, tc_fun(tc_Arrow__Order__Mirabelle_Oindi, tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt, tc_Arrow__Order__Mirabelle_Oalt), tc_bool))) | ~c_Arrow__Order__Mirabelle_Ounanimity(V_F) )).
% 82.75/82.96 cnf(matrix-667, plain, ( c_in(c_Pair(V_a, V_b, tc_Arrow__Order__Mirabelle_Oalt, tc_Arrow__Order__Mirabelle_Oalt), hAPP(v_F, V_P), tc_prod(tc_Arrow__Order__Mirabelle_Oalt, tc_Arrow__Order__Mirabelle_Oalt)) | ~c_in(c_Pair(V_a_H, V_b_H, tc_Arrow__Order__Mirabelle_Oalt, tc_Arrow__Order__Mirabelle_Oalt), hAPP(v_F, V_P_H), tc_prod(tc_Arrow__Order__Mirabelle_Oalt, tc_Arrow__Order__Mirabelle_Oalt)) | ~c_in(c_Pair(V_a_H, V_b_H, tc_Arrow__Order__Mirabelle_Oalt, tc_Arrow__Order__Mirabelle_Oalt), hAPP(V_P_H, v_sko__local__X2__1(V_P, V_P_H, V_a, V_a_H, V_b, V_b_H)), tc_prod(tc_Arrow__Order__Mirabelle_Oalt, tc_Arrow__Order__Mirabelle_Oalt)) | ~c_in(c_Pair(V_a, V_b, tc_Arrow__Order__Mirabelle_Oalt, tc_Arrow__Order__Mirabelle_Oalt), hAPP(V_P, v_sko__local__X2__1(V_P, V_P_H, V_a, V_a_H, V_b, V_b_H)), tc_prod(tc_Arrow__Order__Mirabelle_Oalt, tc_Arrow__Order__Mirabelle_Oalt)) | ~c_in(V_P_H, c_Arrow__Order__Mirabelle_OProf, tc_fun(tc_Arrow__Order__Mirabelle_Oindi, tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt, tc_Arrow__Order__Mirabelle_Oalt), tc_bool))) | ~c_in(V_P, c_Arrow__Order__Mirabelle_OProf, tc_fun(tc_Arrow__Order__Mirabelle_Oindi, tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt, tc_Arrow__Order__Mirabelle_Oalt), tc_bool))) | ( V_b = V_a_H) | ( V_a = V_b_H) | ( V_a_H = V_b_H) | ( V_a = V_b) )).
% 82.75/82.96 cnf(matrix-668, plain, ( c_in(c_Pair(V_a_H, V_b_H, tc_Arrow__Order__Mirabelle_Oalt, tc_Arrow__Order__Mirabelle_Oalt), hAPP(v_F, V_P_H), tc_prod(tc_Arrow__Order__Mirabelle_Oalt, tc_Arrow__Order__Mirabelle_Oalt)) | ~c_in(c_Pair(V_a, V_b, tc_Arrow__Order__Mirabelle_Oalt, tc_Arrow__Order__Mirabelle_Oalt), hAPP(v_F, V_P), tc_prod(tc_Arrow__Order__Mirabelle_Oalt, tc_Arrow__Order__Mirabelle_Oalt)) | ~c_in(c_Pair(V_a_H, V_b_H, tc_Arrow__Order__Mirabelle_Oalt, tc_Arrow__Order__Mirabelle_Oalt), hAPP(V_P_H, v_sko__local__X2__1(V_P, V_P_H, V_a, V_a_H, V_b, V_b_H)), tc_prod(tc_Arrow__Order__Mirabelle_Oalt, tc_Arrow__Order__Mirabelle_Oalt)) | ~c_in(c_Pair(V_a, V_b, tc_Arrow__Order__Mirabelle_Oalt, tc_Arrow__Order__Mirabelle_Oalt), hAPP(V_P, v_sko__local__X2__1(V_P, V_P_H, V_a, V_a_H, V_b, V_b_H)), tc_prod(tc_Arrow__Order__Mirabelle_Oalt, tc_Arrow__Order__Mirabelle_Oalt)) | ~c_in(V_P_H, c_Arrow__Order__Mirabelle_OProf, tc_fun(tc_Arrow__Order__Mirabelle_Oindi, tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt, tc_Arrow__Order__Mirabelle_Oalt), tc_bool))) | ~c_in(V_P, c_Arrow__Order__Mirabelle_OProf, tc_fun(tc_Arrow__Order__Mirabelle_Oindi, tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt, tc_Arrow__Order__Mirabelle_Oalt), tc_bool))) | ( V_b = V_a_H) | ( V_a = V_b_H) | ( V_a_H = V_b_H) | ( V_a = V_b) )).
% 82.75/82.96 cnf(matrix-669, plain, ( c_in(c_Pair(V_a, V_b, tc_Arrow__Order__Mirabelle_Oalt, tc_Arrow__Order__Mirabelle_Oalt), hAPP(v_F, V_P), tc_prod(tc_Arrow__Order__Mirabelle_Oalt, tc_Arrow__Order__Mirabelle_Oalt)) | ~c_in(c_Pair(V_a_H, V_b_H, tc_Arrow__Order__Mirabelle_Oalt, tc_Arrow__Order__Mirabelle_Oalt), hAPP(v_F, V_P_H), tc_prod(tc_Arrow__Order__Mirabelle_Oalt, tc_Arrow__Order__Mirabelle_Oalt)) | c_in(c_Pair(V_a_H, V_b_H, tc_Arrow__Order__Mirabelle_Oalt, tc_Arrow__Order__Mirabelle_Oalt), hAPP(V_P_H, v_sko__local__X2__1(V_P, V_P_H, V_a, V_a_H, V_b, V_b_H)), tc_prod(tc_Arrow__Order__Mirabelle_Oalt, tc_Arrow__Order__Mirabelle_Oalt)) | c_in(c_Pair(V_a, V_b, tc_Arrow__Order__Mirabelle_Oalt, tc_Arrow__Order__Mirabelle_Oalt), hAPP(V_P, v_sko__local__X2__1(V_P, V_P_H, V_a, V_a_H, V_b, V_b_H)), tc_prod(tc_Arrow__Order__Mirabelle_Oalt, tc_Arrow__Order__Mirabelle_Oalt)) | ~c_in(V_P_H, c_Arrow__Order__Mirabelle_OProf, tc_fun(tc_Arrow__Order__Mirabelle_Oindi, tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt, tc_Arrow__Order__Mirabelle_Oalt), tc_bool))) | ~c_in(V_P, c_Arrow__Order__Mirabelle_OProf, tc_fun(tc_Arrow__Order__Mirabelle_Oindi, tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt, tc_Arrow__Order__Mirabelle_Oalt), tc_bool))) | ( V_b = V_a_H) | ( V_a = V_b_H) | ( V_a_H = V_b_H) | ( V_a = V_b) )).
% 82.75/82.96 cnf(matrix-670, plain, ( c_in(c_Pair(V_a_H, V_b_H, tc_Arrow__Order__Mirabelle_Oalt, tc_Arrow__Order__Mirabelle_Oalt), hAPP(v_F, V_P_H), tc_prod(tc_Arrow__Order__Mirabelle_Oalt, tc_Arrow__Order__Mirabelle_Oalt)) | ~c_in(c_Pair(V_a, V_b, tc_Arrow__Order__Mirabelle_Oalt, tc_Arrow__Order__Mirabelle_Oalt), hAPP(v_F, V_P), tc_prod(tc_Arrow__Order__Mirabelle_Oalt, tc_Arrow__Order__Mirabelle_Oalt)) | c_in(c_Pair(V_a_H, V_b_H, tc_Arrow__Order__Mirabelle_Oalt, tc_Arrow__Order__Mirabelle_Oalt), hAPP(V_P_H, v_sko__local__X2__1(V_P, V_P_H, V_a, V_a_H, V_b, V_b_H)), tc_prod(tc_Arrow__Order__Mirabelle_Oalt, tc_Arrow__Order__Mirabelle_Oalt)) | c_in(c_Pair(V_a, V_b, tc_Arrow__Order__Mirabelle_Oalt, tc_Arrow__Order__Mirabelle_Oalt), hAPP(V_P, v_sko__local__X2__1(V_P, V_P_H, V_a, V_a_H, V_b, V_b_H)), tc_prod(tc_Arrow__Order__Mirabelle_Oalt, tc_Arrow__Order__Mirabelle_Oalt)) | ~c_in(V_P_H, c_Arrow__Order__Mirabelle_OProf, tc_fun(tc_Arrow__Order__Mirabelle_Oindi, tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt, tc_Arrow__Order__Mirabelle_Oalt), tc_bool))) | ~c_in(V_P, c_Arrow__Order__Mirabelle_OProf, tc_fun(tc_Arrow__Order__Mirabelle_Oindi, tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt, tc_Arrow__Order__Mirabelle_Oalt), tc_bool))) | ( V_b = V_a_H) | ( V_a = V_b_H) | ( V_a_H = V_b_H) | ( V_a = V_b) )).
% 82.75/82.96 cnf(matrix-671, plain, ( c_in(c_Pair(V_a_H, V_b_H, tc_Arrow__Order__Mirabelle_Oalt, tc_Arrow__Order__Mirabelle_Oalt), hAPP(v_F, V_P_H), tc_prod(tc_Arrow__Order__Mirabelle_Oalt, tc_Arrow__Order__Mirabelle_Oalt)) | ~c_in(c_Pair(V_a, V_b, tc_Arrow__Order__Mirabelle_Oalt, tc_Arrow__Order__Mirabelle_Oalt), hAPP(v_F, V_P), tc_prod(tc_Arrow__Order__Mirabelle_Oalt, tc_Arrow__Order__Mirabelle_Oalt)) | ~c_in(c_Pair(V_a_H, V_b_H, tc_Arrow__Order__Mirabelle_Oalt, tc_Arrow__Order__Mirabelle_Oalt), hAPP(V_P_H, v_sko__local__X1__1(V_P, V_P_H, V_a, V_a_H, V_b, V_b_H)), tc_prod(tc_Arrow__Order__Mirabelle_Oalt, tc_Arrow__Order__Mirabelle_Oalt)) | ~c_in(c_Pair(V_a, V_b, tc_Arrow__Order__Mirabelle_Oalt, tc_Arrow__Order__Mirabelle_Oalt), hAPP(V_P, v_sko__local__X1__1(V_P, V_P_H, V_a, V_a_H, V_b, V_b_H)), tc_prod(tc_Arrow__Order__Mirabelle_Oalt, tc_Arrow__Order__Mirabelle_Oalt)) | ~c_in(V_P_H, c_Arrow__Order__Mirabelle_OProf, tc_fun(tc_Arrow__Order__Mirabelle_Oindi, tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt, tc_Arrow__Order__Mirabelle_Oalt), tc_bool))) | ~c_in(V_P, c_Arrow__Order__Mirabelle_OProf, tc_fun(tc_Arrow__Order__Mirabelle_Oindi, tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt, tc_Arrow__Order__Mirabelle_Oalt), tc_bool))) | ( V_b = V_a_H) | ( V_a = V_b_H) | ( V_a_H = V_b_H) | ( V_a = V_b) )).
% 82.75/82.96 cnf(matrix-672, plain, ( c_in(c_Pair(V_a_H, V_b_H, tc_Arrow__Order__Mirabelle_Oalt, tc_Arrow__Order__Mirabelle_Oalt), hAPP(v_F, V_P_H), tc_prod(tc_Arrow__Order__Mirabelle_Oalt, tc_Arrow__Order__Mirabelle_Oalt)) | ~c_in(c_Pair(V_a, V_b, tc_Arrow__Order__Mirabelle_Oalt, tc_Arrow__Order__Mirabelle_Oalt), hAPP(v_F, V_P), tc_prod(tc_Arrow__Order__Mirabelle_Oalt, tc_Arrow__Order__Mirabelle_Oalt)) | c_in(c_Pair(V_a_H, V_b_H, tc_Arrow__Order__Mirabelle_Oalt, tc_Arrow__Order__Mirabelle_Oalt), hAPP(V_P_H, v_sko__local__X1__1(V_P, V_P_H, V_a, V_a_H, V_b, V_b_H)), tc_prod(tc_Arrow__Order__Mirabelle_Oalt, tc_Arrow__Order__Mirabelle_Oalt)) | c_in(c_Pair(V_a, V_b, tc_Arrow__Order__Mirabelle_Oalt, tc_Arrow__Order__Mirabelle_Oalt), hAPP(V_P, v_sko__local__X1__1(V_P, V_P_H, V_a, V_a_H, V_b, V_b_H)), tc_prod(tc_Arrow__Order__Mirabelle_Oalt, tc_Arrow__Order__Mirabelle_Oalt)) | ~c_in(V_P_H, c_Arrow__Order__Mirabelle_OProf, tc_fun(tc_Arrow__Order__Mirabelle_Oindi, tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt, tc_Arrow__Order__Mirabelle_Oalt), tc_bool))) | ~c_in(V_P, c_Arrow__Order__Mirabelle_OProf, tc_fun(tc_Arrow__Order__Mirabelle_Oindi, tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt, tc_Arrow__Order__Mirabelle_Oalt), tc_bool))) | ( V_b = V_a_H) | ( V_a = V_b_H) | ( V_a_H = V_b_H) | ( V_a = V_b) )).
% 82.75/82.96 cnf(matrix-673, plain, ( ( hAPP(V_F, V_x) = hAPP(V_x, V_i)) | ~c_in(V_x, c_Arrow__Order__Mirabelle_OProf, tc_fun(tc_Arrow__Order__Mirabelle_Oindi, tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt, tc_Arrow__Order__Mirabelle_Oalt), tc_bool))) | ~c_Arrow__Order__Mirabelle_Odictator(V_F, V_i) )).
% 82.75/82.96 cnf(matrix-674, plain, ( c_in(c_Pair(V_a, V_b, T_a, T_b), c_Product__Type_OSigma(V_A, V_B, T_a, T_b), tc_prod(T_a, T_b)) | ~c_in(V_b, hAPP(V_B, V_a), T_b) | ~c_in(V_a, V_A, T_a) )).
% 82.75/82.96 cnf(matrix-675, plain, ( c_in(c_Pair(V_a, V_b, T_a, T_b), c_Product__Type_OSigma(V_A, V_B, T_a, T_b), tc_prod(T_a, T_b)) | ~c_in(V_b, hAPP(V_B, V_a), T_b) | ~c_in(V_a, V_A, T_a) )).
% 82.75/82.96 cnf(matrix-676, plain, ( c_in(V_a, c_Wellfounded_Oacc(V_r, T_a), T_a) | ~c_in(c_Pair(V_a, V_b, T_a, T_a), V_r, tc_prod(T_a, T_a)) | ~c_in(V_b, c_Wellfounded_Oacc(V_r, T_a), T_a) )).
% 82.75/82.96 cnf(matrix-677, plain, ( c_in(V_y, c_Wellfounded_Oacc(V_r, T_a), T_a) | ~c_in(c_Pair(V_y, V_a, T_a, T_a), V_r, tc_prod(T_a, T_a)) | ~c_in(V_a, c_Wellfounded_Oacc(V_r, T_a), T_a) )).
% 82.75/82.96 cnf(matrix-678, plain, ( c_in(V_b, c_Relation_OImage(V_r, V_A, T_a, T_b), T_b) | ~c_in(c_Pair(V_a, V_b, T_a, T_b), V_r, tc_prod(T_a, T_b)) | ~c_in(V_a, V_A, T_a) )).
% 82.75/82.96 cnf(matrix-679, plain, ( c_in(V_b, c_Relation_OImage(V_r, V_A, T_b, T_a), T_a) | ~c_in(c_Pair(V_x, V_b, T_b, T_a), V_r, tc_prod(T_b, T_a)) | ~c_in(V_x, V_A, T_b) )).
% 82.75/82.96 cnf(matrix-680, plain, ( c_in(V_x, V_A, T_a) | ~c_in(c_Pair(V_x, V_y, T_a, T_a), c_Relation_OId__on(V_A, T_a), tc_prod(T_a, T_a)) )).
% 82.75/82.96 cnf(matrix-681, plain, ( c_in(c_Pair(V_x, V_x, T_a, T_a), c_Relation_OId__on(V_A, T_a), tc_prod(T_a, T_a)) | ~c_in(V_x, V_A, T_a) )).
% 82.75/82.96 cnf(matrix-682, plain, ( c_in(V_y, V_A, T_a) | ~c_in(c_Pair(V_x, V_y, T_a, T_a), V_r, tc_prod(T_a, T_a)) | ~c_Equiv__Relations_Oequiv(V_A, V_r, T_a) )).
% 82.75/82.96 cnf(matrix-683, plain, ( c_in(V_x, V_A, T_a) | ~c_in(c_Pair(V_x, V_y, T_a, T_a), V_r, tc_prod(T_a, T_a)) | ~c_Equiv__Relations_Oequiv(V_A, V_r, T_a) )).
% 82.75/82.96 cnf(matrix-684, plain, ( c_in(V_a, c_Relation_ORange(V_r, T_b, T_a), T_a) | ~c_in(c_Pair(V_x, V_a, T_b, T_a), V_r, tc_prod(T_b, T_a)) )).
% 82.75/82.96 cnf(matrix-685, plain, ( c_in(V_b, c_Relation_ORange(V_r, T_a, T_b), T_b) | ~c_in(c_Pair(V_a, V_b, T_a, T_b), V_r, tc_prod(T_a, T_b)) )).
% 82.75/82.96 cnf(matrix-686, plain, ( c_in(V_a, c_Relation_ODomain(V_r, T_a, T_b), T_a) | ~c_in(c_Pair(V_a, V_x, T_a, T_b), V_r, tc_prod(T_a, T_b)) )).
% 82.75/82.96 cnf(matrix-687, plain, ( c_in(V_a, c_Relation_ODomain(V_r, T_a, T_b), T_a) | ~c_in(c_Pair(V_a, V_b, T_a, T_b), V_r, tc_prod(T_a, T_b)) )).
% 82.75/82.96 cnf(matrix-688, plain, ( c_in(V_b, hAPP(V_B, V_a), T_b) | ~c_in(c_Pair(V_a, V_b, T_a, T_b), c_Product__Type_OSigma(V_A, V_B, T_a, T_b), tc_prod(T_a, T_b)) )).
% 82.75/82.96 cnf(matrix-689, plain, ( c_in(V_a, V_A, T_a) | ~c_in(c_Pair(V_a, V_b, T_a, T_b), c_Product__Type_OSigma(V_A, V_B, T_a, T_b), tc_prod(T_a, T_b)) )).
% 82.75/82.96 cnf(matrix-690, plain, ( c_in(c_Pair(V_xa, V_x, T_a, T_a), V_r, tc_prod(T_a, T_a)) | c_in(c_Pair(V_x, V_xa, T_a, T_a), V_r, tc_prod(T_a, T_a)) | ( V_x = V_xa) | ~c_in(V_xa, V_A, T_a) | ~c_in(V_x, V_A, T_a) | ~c_Relation_Ototal__on(V_A, V_r, T_a) )).
% 82.75/82.96 cnf(matrix-691, plain, ( c_in(c_Pair(V_x, V_x, T_a, T_a), V_r, tc_prod(T_a, T_a)) | ~c_in(V_x, V_A, T_a) | ~c_Relation_Orefl__on(V_A, V_r, T_a) )).
% 82.75/82.96 cnf(matrix-692, plain, ( c_in(V_y, V_A, T_a) | ~c_in(c_Pair(V_x, V_y, T_a, T_a), V_r, tc_prod(T_a, T_a)) | ~c_Relation_Orefl__on(V_A, V_r, T_a) )).
% 82.75/82.96 cnf(matrix-693, plain, ( c_in(V_x, V_A, T_a) | ~c_in(c_Pair(V_x, V_y, T_a, T_a), V_r, tc_prod(T_a, T_a)) | ~c_Relation_Orefl__on(V_A, V_r, T_a) )).
% 82.75/82.96 cnf(matrix-694, plain, ( c_in(c_Pair(V_a, V_a, T_a, T_a), V_r, tc_prod(T_a, T_a)) | ~c_in(V_a, V_A, T_a) | ~c_Relation_Orefl__on(V_A, V_r, T_a) )).
% 82.75/82.96 cnf(matrix-695, plain, ( c_in(c_Pair(v_a____, v_b____, tc_Arrow__Order__Mirabelle_Oalt, tc_Arrow__Order__Mirabelle_Oalt), hAPP(v_P____, V_i), tc_prod(tc_Arrow__Order__Mirabelle_Oalt, tc_Arrow__Order__Mirabelle_Oalt)) | ~c_in(c_Pair(v_b____, v_a____, tc_Arrow__Order__Mirabelle_Oalt, tc_Arrow__Order__Mirabelle_Oalt), v_P_H____(V_i), tc_prod(tc_Arrow__Order__Mirabelle_Oalt, tc_Arrow__Order__Mirabelle_Oalt)) )).
% 82.75/82.96 cnf(matrix-696, plain, ( c_in(c_Pair(v_b____, v_a____, tc_Arrow__Order__Mirabelle_Oalt, tc_Arrow__Order__Mirabelle_Oalt), v_P_H____(V_i), tc_prod(tc_Arrow__Order__Mirabelle_Oalt, tc_Arrow__Order__Mirabelle_Oalt)) | ~c_in(c_Pair(v_a____, v_b____, tc_Arrow__Order__Mirabelle_Oalt, tc_Arrow__Order__Mirabelle_Oalt), hAPP(v_P____, V_i), tc_prod(tc_Arrow__Order__Mirabelle_Oalt, tc_Arrow__Order__Mirabelle_Oalt)) )).
% 82.75/82.96 cnf(matrix-697, plain, ( c_in(c_Pair(v_a____, v_b____, tc_Arrow__Order__Mirabelle_Oalt, tc_Arrow__Order__Mirabelle_Oalt), hAPP(v_F, v_P____), tc_prod(tc_Arrow__Order__Mirabelle_Oalt, tc_Arrow__Order__Mirabelle_Oalt)) | ~c_in(c_Pair(v_a____, v_c____, tc_Arrow__Order__Mirabelle_Oalt, tc_Arrow__Order__Mirabelle_Oalt), hAPP(v_F, c_COMBC(c_COMBC(c_COMBB(c_Arrow__Order__Mirabelle_Obelow, v_P____, tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt, tc_Arrow__Order__Mirabelle_Oalt), tc_bool), tc_fun(tc_Arrow__Order__Mirabelle_Oalt, tc_fun(tc_Arrow__Order__Mirabelle_Oalt, tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt, tc_Arrow__Order__Mirabelle_Oalt), tc_bool))), tc_Arrow__Order__Mirabelle_Oindi), v_c____, tc_Arrow__Order__Mirabelle_Oindi, tc_Arrow__Order__Mirabelle_Oalt, tc_fun(tc_Arrow__Order__Mirabelle_Oalt, tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt, tc_Arrow__Order__Mirabelle_Oalt), tc_bool))), v_b____, tc_Arrow__Order__Mirabelle_Oindi, tc_Arrow__Order__Mirabelle_Oalt, tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt, tc_Arrow__Order__Mirabelle_Oalt), tc_bool))), tc_prod(tc_Arrow__Order__Mirabelle_Oalt, tc_Arrow__Order__Mirabelle_Oalt)) )).
% 82.75/82.96 cnf(matrix-698, plain, ( c_in(c_Pair(v_a____, v_c____, tc_Arrow__Order__Mirabelle_Oalt, tc_Arrow__Order__Mirabelle_Oalt), hAPP(v_F, c_COMBC(c_COMBC(c_COMBB(c_Arrow__Order__Mirabelle_Obelow, v_P____, tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt, tc_Arrow__Order__Mirabelle_Oalt), tc_bool), tc_fun(tc_Arrow__Order__Mirabelle_Oalt, tc_fun(tc_Arrow__Order__Mirabelle_Oalt, tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt, tc_Arrow__Order__Mirabelle_Oalt), tc_bool))), tc_Arrow__Order__Mirabelle_Oindi), v_c____, tc_Arrow__Order__Mirabelle_Oindi, tc_Arrow__Order__Mirabelle_Oalt, tc_fun(tc_Arrow__Order__Mirabelle_Oalt, tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt, tc_Arrow__Order__Mirabelle_Oalt), tc_bool))), v_b____, tc_Arrow__Order__Mirabelle_Oindi, tc_Arrow__Order__Mirabelle_Oalt, tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt, tc_Arrow__Order__Mirabelle_Oalt), tc_bool))), tc_prod(tc_Arrow__Order__Mirabelle_Oalt, tc_Arrow__Order__Mirabelle_Oalt)) | ~c_in(c_Pair(v_a____, v_b____, tc_Arrow__Order__Mirabelle_Oalt, tc_Arrow__Order__Mirabelle_Oalt), hAPP(v_F, v_P____), tc_prod(tc_Arrow__Order__Mirabelle_Oalt, tc_Arrow__Order__Mirabelle_Oalt)) )).
% 82.75/82.96 cnf(matrix-699, plain, ( c_in(c_Pair(v_a____, v_c____, tc_Arrow__Order__Mirabelle_Oalt, tc_Arrow__Order__Mirabelle_Oalt), hAPP(v_F, c_COMBC(c_COMBC(c_COMBB(c_Arrow__Order__Mirabelle_Obelow, v_P____, tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt, tc_Arrow__Order__Mirabelle_Oalt), tc_bool), tc_fun(tc_Arrow__Order__Mirabelle_Oalt, tc_fun(tc_Arrow__Order__Mirabelle_Oalt, tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt, tc_Arrow__Order__Mirabelle_Oalt), tc_bool))), tc_Arrow__Order__Mirabelle_Oindi), v_c____, tc_Arrow__Order__Mirabelle_Oindi, tc_Arrow__Order__Mirabelle_Oalt, tc_fun(tc_Arrow__Order__Mirabelle_Oalt, tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt, tc_Arrow__Order__Mirabelle_Oalt), tc_bool))), v_b____, tc_Arrow__Order__Mirabelle_Oindi, tc_Arrow__Order__Mirabelle_Oalt, tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt, tc_Arrow__Order__Mirabelle_Oalt), tc_bool))), tc_prod(tc_Arrow__Order__Mirabelle_Oalt, tc_Arrow__Order__Mirabelle_Oalt)) | ~c_in(c_Pair(v_b____, v_c____, tc_Arrow__Order__Mirabelle_Oalt, tc_Arrow__Order__Mirabelle_Oalt), hAPP(v_F, c_COMBC(c_COMBC(c_COMBB(c_Arrow__Order__Mirabelle_Obelow, c_COMBC(c_COMBC(c_COMBB(c_Arrow__Order__Mirabelle_Obelow, v_P____, tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt, tc_Arrow__Order__Mirabelle_Oalt), tc_bool), tc_fun(tc_Arrow__Order__Mirabelle_Oalt, tc_fun(tc_Arrow__Order__Mirabelle_Oalt, tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt, tc_Arrow__Order__Mirabelle_Oalt), tc_bool))), tc_Arrow__Order__Mirabelle_Oindi), v_c____, tc_Arrow__Order__Mirabelle_Oindi, tc_Arrow__Order__Mirabelle_Oalt, tc_fun(tc_Arrow__Order__Mirabelle_Oalt, tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt, tc_Arrow__Order__Mirabelle_Oalt), tc_bool))), v_b____, tc_Arrow__Order__Mirabelle_Oindi, tc_Arrow__Order__Mirabelle_Oalt, tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt, tc_Arrow__Order__Mirabelle_Oalt), tc_bool)), tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt, tc_Arrow__Order__Mirabelle_Oalt), tc_bool), tc_fun(tc_Arrow__Order__Mirabelle_Oalt, tc_fun(tc_Arrow__Order__Mirabelle_Oalt, tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt, tc_Arrow__Order__Mirabelle_Oalt), tc_bool))), tc_Arrow__Order__Mirabelle_Oindi), v_b____, tc_Arrow__Order__Mirabelle_Oindi, tc_Arrow__Order__Mirabelle_Oalt, tc_fun(tc_Arrow__Order__Mirabelle_Oalt, tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt, tc_Arrow__Order__Mirabelle_Oalt), tc_bool))), v_a____, tc_Arrow__Order__Mirabelle_Oindi, tc_Arrow__Order__Mirabelle_Oalt, tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt, tc_Arrow__Order__Mirabelle_Oalt), tc_bool))), tc_prod(tc_Arrow__Order__Mirabelle_Oalt, tc_Arrow__Order__Mirabelle_Oalt)) )).
% 82.75/82.96 cnf(matrix-700, plain, ( c_in(c_Pair(v_b____, v_c____, tc_Arrow__Order__Mirabelle_Oalt, tc_Arrow__Order__Mirabelle_Oalt), hAPP(v_F, c_COMBC(c_COMBC(c_COMBB(c_Arrow__Order__Mirabelle_Obelow, c_COMBC(c_COMBC(c_COMBB(c_Arrow__Order__Mirabelle_Obelow, v_P____, tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt, tc_Arrow__Order__Mirabelle_Oalt), tc_bool), tc_fun(tc_Arrow__Order__Mirabelle_Oalt, tc_fun(tc_Arrow__Order__Mirabelle_Oalt, tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt, tc_Arrow__Order__Mirabelle_Oalt), tc_bool))), tc_Arrow__Order__Mirabelle_Oindi), v_c____, tc_Arrow__Order__Mirabelle_Oindi, tc_Arrow__Order__Mirabelle_Oalt, tc_fun(tc_Arrow__Order__Mirabelle_Oalt, tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt, tc_Arrow__Order__Mirabelle_Oalt), tc_bool))), v_b____, tc_Arrow__Order__Mirabelle_Oindi, tc_Arrow__Order__Mirabelle_Oalt, tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt, tc_Arrow__Order__Mirabelle_Oalt), tc_bool)), tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt, tc_Arrow__Order__Mirabelle_Oalt), tc_bool), tc_fun(tc_Arrow__Order__Mirabelle_Oalt, tc_fun(tc_Arrow__Order__Mirabelle_Oalt, tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt, tc_Arrow__Order__Mirabelle_Oalt), tc_bool))), tc_Arrow__Order__Mirabelle_Oindi), v_b____, tc_Arrow__Order__Mirabelle_Oindi, tc_Arrow__Order__Mirabelle_Oalt, tc_fun(tc_Arrow__Order__Mirabelle_Oalt, tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt, tc_Arrow__Order__Mirabelle_Oalt), tc_bool))), v_a____, tc_Arrow__Order__Mirabelle_Oindi, tc_Arrow__Order__Mirabelle_Oalt, tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt, tc_Arrow__Order__Mirabelle_Oalt), tc_bool))), tc_prod(tc_Arrow__Order__Mirabelle_Oalt, tc_Arrow__Order__Mirabelle_Oalt)) | ~c_in(c_Pair(v_a____, v_c____, tc_Arrow__Order__Mirabelle_Oalt, tc_Arrow__Order__Mirabelle_Oalt), hAPP(v_F, c_COMBC(c_COMBC(c_COMBB(c_Arrow__Order__Mirabelle_Obelow, v_P____, tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt, tc_Arrow__Order__Mirabelle_Oalt), tc_bool), tc_fun(tc_Arrow__Order__Mirabelle_Oalt, tc_fun(tc_Arrow__Order__Mirabelle_Oalt, tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt, tc_Arrow__Order__Mirabelle_Oalt), tc_bool))), tc_Arrow__Order__Mirabelle_Oindi), v_c____, tc_Arrow__Order__Mirabelle_Oindi, tc_Arrow__Order__Mirabelle_Oalt, tc_fun(tc_Arrow__Order__Mirabelle_Oalt, tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt, tc_Arrow__Order__Mirabelle_Oalt), tc_bool))), v_b____, tc_Arrow__Order__Mirabelle_Oindi, tc_Arrow__Order__Mirabelle_Oalt, tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt, tc_Arrow__Order__Mirabelle_Oalt), tc_bool))), tc_prod(tc_Arrow__Order__Mirabelle_Oalt, tc_Arrow__Order__Mirabelle_Oalt)) )).
% 82.75/82.96 cnf(matrix-701, plain, ( ( c_Pair(V_a, V_b, T_a, T_b) != c_Pair(V_a_H, V_b_H, T_a, T_b)) | ( V_b = V_b_H) )).
% 82.75/82.96 cnf(matrix-702, plain, ( ( c_Pair(V_a, V_b, T_a, T_b) != c_Pair(V_a_H, V_b_H, T_a, T_b)) | ( V_a = V_a_H) )).
% 82.75/82.96 cnf(matrix-703, plain, ( c_in(V_x, V_S, T_a) | ~hBOOL(hAPP(V_S, V_x)) )).
% 82.75/82.96 cnf(matrix-704, plain, ( hBOOL(hAPP(V_S, V_x)) | ~c_in(V_x, V_S, T_a) )).
% 82.75/82.96 cnf(matrix-705, plain, ( ( hAPP(c_COMBB(V_P, V_Q, T_b, T_a, T_c), V_R) = hAPP(V_P, hAPP(V_Q, V_R))) )).
% 82.75/82.96 cnf(matrix-706, plain, ( ( hAPP(c_COMBC(V_P, V_Q, T_b, T_c, T_a), V_R) = hAPP(hAPP(V_P, V_R), V_Q)) )).
% 82.75/82.96 cnf(matrix-707, plain, ( c_in(c_COMBC(c_COMBC(c_COMBB(c_Arrow__Order__Mirabelle_Obelow, c_COMBC(c_COMBC(c_COMBB(c_Arrow__Order__Mirabelle_Obelow, v_P____, tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt, tc_Arrow__Order__Mirabelle_Oalt), tc_bool), tc_fun(tc_Arrow__Order__Mirabelle_Oalt, tc_fun(tc_Arrow__Order__Mirabelle_Oalt, tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt, tc_Arrow__Order__Mirabelle_Oalt), tc_bool))), tc_Arrow__Order__Mirabelle_Oindi), v_c____, tc_Arrow__Order__Mirabelle_Oindi, tc_Arrow__Order__Mirabelle_Oalt, tc_fun(tc_Arrow__Order__Mirabelle_Oalt, tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt, tc_Arrow__Order__Mirabelle_Oalt), tc_bool))), v_b____, tc_Arrow__Order__Mirabelle_Oindi, tc_Arrow__Order__Mirabelle_Oalt, tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt, tc_Arrow__Order__Mirabelle_Oalt), tc_bool)), tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt, tc_Arrow__Order__Mirabelle_Oalt), tc_bool), tc_fun(tc_Arrow__Order__Mirabelle_Oalt, tc_fun(tc_Arrow__Order__Mirabelle_Oalt, tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt, tc_Arrow__Order__Mirabelle_Oalt), tc_bool))), tc_Arrow__Order__Mirabelle_Oindi), v_b____, tc_Arrow__Order__Mirabelle_Oindi, tc_Arrow__Order__Mirabelle_Oalt, tc_fun(tc_Arrow__Order__Mirabelle_Oalt, tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt, tc_Arrow__Order__Mirabelle_Oalt), tc_bool))), v_a____, tc_Arrow__Order__Mirabelle_Oindi, tc_Arrow__Order__Mirabelle_Oalt, tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt, tc_Arrow__Order__Mirabelle_Oalt), tc_bool)), c_Arrow__Order__Mirabelle_OProf, tc_fun(tc_Arrow__Order__Mirabelle_Oindi, tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt, tc_Arrow__Order__Mirabelle_Oalt), tc_bool))) )).
% 82.75/82.96 cnf(matrix-708, plain, ( c_in(c_COMBC(c_COMBC(c_COMBB(c_Arrow__Order__Mirabelle_Obelow, c_COMBC(c_COMBC(c_COMBB(c_Arrow__Order__Mirabelle_Obelow, c_COMBC(c_COMBC(c_COMBB(c_Arrow__Order__Mirabelle_Obelow, v_P____, tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt, tc_Arrow__Order__Mirabelle_Oalt), tc_bool), tc_fun(tc_Arrow__Order__Mirabelle_Oalt, tc_fun(tc_Arrow__Order__Mirabelle_Oalt, tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt, tc_Arrow__Order__Mirabelle_Oalt), tc_bool))), tc_Arrow__Order__Mirabelle_Oindi), v_c____, tc_Arrow__Order__Mirabelle_Oindi, tc_Arrow__Order__Mirabelle_Oalt, tc_fun(tc_Arrow__Order__Mirabelle_Oalt, tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt, tc_Arrow__Order__Mirabelle_Oalt), tc_bool))), v_b____, tc_Arrow__Order__Mirabelle_Oindi, tc_Arrow__Order__Mirabelle_Oalt, tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt, tc_Arrow__Order__Mirabelle_Oalt), tc_bool)), tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt, tc_Arrow__Order__Mirabelle_Oalt), tc_bool), tc_fun(tc_Arrow__Order__Mirabelle_Oalt, tc_fun(tc_Arrow__Order__Mirabelle_Oalt, tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt, tc_Arrow__Order__Mirabelle_Oalt), tc_bool))), tc_Arrow__Order__Mirabelle_Oindi), v_b____, tc_Arrow__Order__Mirabelle_Oindi, tc_Arrow__Order__Mirabelle_Oalt, tc_fun(tc_Arrow__Order__Mirabelle_Oalt, tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt, tc_Arrow__Order__Mirabelle_Oalt), tc_bool))), v_a____, tc_Arrow__Order__Mirabelle_Oindi, tc_Arrow__Order__Mirabelle_Oalt, tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt, tc_Arrow__Order__Mirabelle_Oalt), tc_bool)), tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt, tc_Arrow__Order__Mirabelle_Oalt), tc_bool), tc_fun(tc_Arrow__Order__Mirabelle_Oalt, tc_fun(tc_Arrow__Order__Mirabelle_Oalt, tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt, tc_Arrow__Order__Mirabelle_Oalt), tc_bool))), tc_Arrow__Order__Mirabelle_Oindi), v_a____, tc_Arrow__Order__Mirabelle_Oindi, tc_Arrow__Order__Mirabelle_Oalt, tc_fun(tc_Arrow__Order__Mirabelle_Oalt, tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt, tc_Arrow__Order__Mirabelle_Oalt), tc_bool))), v_c____, tc_Arrow__Order__Mirabelle_Oindi, tc_Arrow__Order__Mirabelle_Oalt, tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt, tc_Arrow__Order__Mirabelle_Oalt), tc_bool)), c_Arrow__Order__Mirabelle_OProf, tc_fun(tc_Arrow__Order__Mirabelle_Oindi, tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt, tc_Arrow__Order__Mirabelle_Oalt), tc_bool))) )).
% 82.75/82.96 cnf(matrix-709, plain, ( ( v_a____ != v_b____) )).
% 82.75/82.96 cnf(matrix-710, plain, ( ( v_a____ != v_c____) )).
% 82.75/82.96 cnf(matrix-711, plain, ( ( v_b____ != v_c____) )).
% 82.75/82.96 cnf(matrix-712, plain, ( ( v_b____ = v_c____) )).
% 82.75/82.96 cnf(matrix-713, plain, ( c_in(c_Pair(v_b____, v_a____, tc_Arrow__Order__Mirabelle_Oalt, tc_Arrow__Order__Mirabelle_Oalt), hAPP(hAPP(hAPP(c_Arrow__Order__Mirabelle_Obelow, hAPP(hAPP(hAPP(c_Arrow__Order__Mirabelle_Obelow, hAPP(hAPP(hAPP(c_Arrow__Order__Mirabelle_Obelow, hAPP(v_P____, V_i)), v_c____), v_b____)), v_b____), v_a____)), v_a____), v_c____), tc_prod(tc_Arrow__Order__Mirabelle_Oalt, tc_Arrow__Order__Mirabelle_Oalt)) | ~c_in(c_Pair(v_b____, v_c____, tc_Arrow__Order__Mirabelle_Oalt, tc_Arrow__Order__Mirabelle_Oalt), hAPP(hAPP(hAPP(c_Arrow__Order__Mirabelle_Obelow, hAPP(hAPP(hAPP(c_Arrow__Order__Mirabelle_Obelow, hAPP(v_P____, V_i)), v_c____), v_b____)), v_b____), v_a____), tc_prod(tc_Arrow__Order__Mirabelle_Oalt, tc_Arrow__Order__Mirabelle_Oalt)) )).
% 82.75/82.96 cnf(matrix-714, plain, ( c_in(c_Pair(v_b____, v_c____, tc_Arrow__Order__Mirabelle_Oalt, tc_Arrow__Order__Mirabelle_Oalt), hAPP(hAPP(hAPP(c_Arrow__Order__Mirabelle_Obelow, hAPP(hAPP(hAPP(c_Arrow__Order__Mirabelle_Obelow, hAPP(v_P____, V_i)), v_c____), v_b____)), v_b____), v_a____), tc_prod(tc_Arrow__Order__Mirabelle_Oalt, tc_Arrow__Order__Mirabelle_Oalt)) | ~c_in(c_Pair(v_b____, v_a____, tc_Arrow__Order__Mirabelle_Oalt, tc_Arrow__Order__Mirabelle_Oalt), hAPP(hAPP(hAPP(c_Arrow__Order__Mirabelle_Obelow, hAPP(hAPP(hAPP(c_Arrow__Order__Mirabelle_Obelow, hAPP(hAPP(hAPP(c_Arrow__Order__Mirabelle_Obelow, hAPP(v_P____, V_i)), v_c____), v_b____)), v_b____), v_a____)), v_a____), v_c____), tc_prod(tc_Arrow__Order__Mirabelle_Oalt, tc_Arrow__Order__Mirabelle_Oalt)) )).
% 82.75/82.96 cnf(matrix-715, plain, ( class_Lattices_Oupper__semilattice(tc_fun(T_2, T_1)) | ~class_Lattices_Olattice(T_1) )).
% 82.75/82.96 cnf(matrix-716, plain, ( class_Lattices_Olower__semilattice(tc_fun(T_2, T_1)) | ~class_Lattices_Olattice(T_1) )).
% 82.75/82.96 cnf(matrix-717, plain, ( class_Lattices_Odistrib__lattice(tc_fun(T_2, T_1)) | ~class_Lattices_Odistrib__lattice(T_1) )).
% 82.75/82.96 cnf(matrix-718, plain, ( class_Orderings_Opreorder(tc_fun(T_2, T_1)) | ~class_Orderings_Opreorder(T_1) )).
% 82.75/82.96 cnf(matrix-719, plain, ( class_Lattices_Olattice(tc_fun(T_2, T_1)) | ~class_Lattices_Olattice(T_1) )).
% 82.75/82.96 cnf(matrix-720, plain, ( class_Orderings_Oorder(tc_fun(T_2, T_1)) | ~class_Orderings_Oorder(T_1) )).
% 82.75/82.96 cnf(matrix-721, plain, ( class_HOL_Oord(tc_fun(T_2, T_1)) | ~class_HOL_Oord(T_1) )).
% 82.75/82.96 cnf(matrix-722, plain, ( class_Lattices_Oupper__semilattice(tc_bool) )).
% 82.75/82.96 cnf(matrix-723, plain, ( class_Lattices_Olower__semilattice(tc_bool) )).
% 82.75/82.96 cnf(matrix-724, plain, ( class_Lattices_Odistrib__lattice(tc_bool) )).
% 82.75/82.96 cnf(matrix-725, plain, ( class_Orderings_Opreorder(tc_bool) )).
% 82.75/82.96 cnf(matrix-726, plain, ( class_Lattices_Olattice(tc_bool) )).
% 82.75/82.96 cnf(matrix-727, plain, ( class_Orderings_Oorder(tc_bool) )).
% 82.75/82.96 cnf(matrix-728, plain, ( class_HOL_Oord(tc_bool) )).
% 82.75/82.96 cnf(matrix-729, plain, ( ( hAPP(c_COMBC(V_P, V_Q, T_b, T_c, T_a), V_R) = hAPP(hAPP(V_P, V_R), V_Q)) )).
% 82.75/82.96 cnf(matrix-730, plain, ( ( hAPP(c_COMBB(V_P, V_Q, T_b, T_a, T_c), V_R) = hAPP(V_P, hAPP(V_Q, V_R))) )).
% 82.75/82.96 cnf(matrix-731, plain, ( c_fequal(V_x, V_x, T_a) )).
% 82.75/82.96 cnf(matrix-732, plain, ( ( V_X = V_Y) | ~c_fequal(V_X, V_Y, T_a) )).
% 82.75/82.96
% 82.75/82.96 % Proof stack:
% 82.75/82.96 cnf(proof-stack, plain,
% 82.75/82.96 proof_stack(
% 82.75/82.96 start(711),
% 82.75/82.96 left_branch(0, 712, 0, 2),
% 82.75/82.96 right_branch(2)
% 82.75/82.96 )).
% 82.75/82.96 % SZS output end Proof for theBenchmark
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