TSTP Solution File: LCL823-1 by Etableau---0.67
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- Process Solution
%------------------------------------------------------------------------------
% File : Etableau---0.67
% Problem : LCL823-1 : TPTP v8.1.0. Released v4.1.0.
% Transfm : none
% Format : tptp:raw
% Command : etableau --auto --tsmdo --quicksat=10000 --tableau=1 --tableau-saturation=1 -s -p --tableau-cores=8 --cpu-limit=%d %s
% Computer : n025.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 : 600s
% DateTime : Sun Jul 17 10:25:45 EDT 2022
% Result : Unsatisfiable 0.97s 1.16s
% Output : CNFRefutation 1.01s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : LCL823-1 : TPTP v8.1.0. Released v4.1.0.
% 0.07/0.13 % Command : etableau --auto --tsmdo --quicksat=10000 --tableau=1 --tableau-saturation=1 -s -p --tableau-cores=8 --cpu-limit=%d %s
% 0.13/0.34 % Computer : n025.cluster.edu
% 0.13/0.34 % Model : x86_64 x86_64
% 0.13/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.34 % Memory : 8042.1875MB
% 0.13/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.34 % CPULimit : 300
% 0.13/0.34 % WCLimit : 600
% 0.13/0.34 % DateTime : Tue Jul 5 00:16:27 EDT 2022
% 0.13/0.34 % CPUTime :
% 0.83/1.01 # No SInE strategy applied
% 0.83/1.01 # Auto-Mode selected heuristic G_E___301_C18_F1_URBAN_S5PRR_S0Y
% 0.83/1.01 # and selection function SelectMaxLComplexAvoidPosPred.
% 0.83/1.01 #
% 0.83/1.01 # Number of axioms: 798 Number of unprocessed: 798
% 0.83/1.01 # Tableaux proof search.
% 0.83/1.01 # APR header successfully linked.
% 0.83/1.01 # Hello from C++
% 0.97/1.15 # The folding up rule is enabled...
% 0.97/1.15 # Local unification is enabled...
% 0.97/1.15 # Any saturation attempts will use folding labels...
% 0.97/1.15 # 798 beginning clauses after preprocessing and clausification
% 0.97/1.15 # Creating start rules for all 1 conjectures.
% 0.97/1.15 # There are 1 start rule candidates:
% 0.97/1.15 # Found 273 unit axioms.
% 0.97/1.15 # 1 start rule tableaux created.
% 0.97/1.15 # 525 extension rule candidate clauses
% 0.97/1.15 # 273 unit axiom clauses
% 0.97/1.15
% 0.97/1.15 # Requested 8, 32 cores available to the main process.
% 0.97/1.15 # There are not enough tableaux to fork, creating more from the initial 1
% 0.97/1.16 # There were 1 total branch saturation attempts.
% 0.97/1.16 # There were 0 of these attempts blocked.
% 0.97/1.16 # There were 0 deferred branch saturation attempts.
% 0.97/1.16 # There were 0 free duplicated saturations.
% 0.97/1.16 # There were 1 total successful branch saturations.
% 0.97/1.16 # There were 0 successful branch saturations in interreduction.
% 0.97/1.16 # There were 0 successful branch saturations on the branch.
% 0.97/1.16 # There were 1 successful branch saturations after the branch.
% 0.97/1.16 # SZS status Unsatisfiable for /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.97/1.16 # SZS output start for /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.97/1.16 # Begin clausification derivation
% 0.97/1.16
% 0.97/1.16 # End clausification derivation
% 0.97/1.16 # Begin listing active clauses obtained from FOF to CNF conversion
% 0.97/1.16 cnf(i_0_1505, plain, (v_n____!=v_i____)).
% 0.97/1.16 cnf(i_0_1455, plain, (c_lessequals(tc_bool)=c_implies)).
% 0.97/1.16 cnf(i_0_1569, plain, (class_Complete__Lattice_Ocomplete__lattice(tc_bool))).
% 0.97/1.16 cnf(i_0_1562, plain, (class_Orderings_Owellorder(tc_nat))).
% 0.97/1.16 cnf(i_0_1573, plain, (class_Lattices_Obounded__lattice(tc_bool))).
% 0.97/1.16 cnf(i_0_1577, plain, (class_Orderings_Oorder(tc_bool))).
% 0.97/1.16 cnf(i_0_1566, plain, (class_Orderings_Oorder(tc_nat))).
% 0.97/1.16 cnf(i_0_1564, plain, (class_Orderings_Olinorder(tc_nat))).
% 0.97/1.16 cnf(i_0_1576, plain, (class_Lattices_Olattice(tc_bool))).
% 0.97/1.16 cnf(i_0_1565, plain, (class_Lattices_Olattice(tc_nat))).
% 0.97/1.16 cnf(i_0_1579, plain, (class_Orderings_Obot(tc_bool))).
% 0.97/1.16 cnf(i_0_1567, plain, (class_Orderings_Obot(tc_nat))).
% 0.97/1.16 cnf(i_0_1572, plain, (class_Lattices_Odistrib__lattice(tc_bool))).
% 0.97/1.16 cnf(i_0_1561, plain, (class_Lattices_Odistrib__lattice(tc_nat))).
% 0.97/1.16 cnf(i_0_1555, plain, (class_Ring__and__Field_Ocomm__semiring__1(tc_nat))).
% 0.97/1.16 cnf(i_0_1570, plain, (class_Lattices_Oupper__semilattice(tc_bool))).
% 0.97/1.16 cnf(i_0_1558, plain, (class_Lattices_Oupper__semilattice(tc_nat))).
% 0.97/1.16 cnf(i_0_1575, plain, (class_Orderings_Opreorder(tc_bool))).
% 0.97/1.16 cnf(i_0_1563, plain, (class_Orderings_Opreorder(tc_nat))).
% 0.97/1.16 cnf(i_0_1571, plain, (class_Lattices_Olower__semilattice(tc_bool))).
% 0.97/1.16 cnf(i_0_1559, plain, (class_Lattices_Olower__semilattice(tc_nat))).
% 0.97/1.16 cnf(i_0_1557, plain, (class_OrderedGroup_Ocomm__monoid__add(tc_nat))).
% 0.97/1.16 cnf(i_0_1578, plain, (class_Orderings_Otop(tc_bool))).
% 0.97/1.16 cnf(i_0_1560, plain, (class_Ring__and__Field_Osemiring__0(tc_nat))).
% 0.97/1.16 cnf(i_0_1574, plain, (class_Finite__Set_Ofinite_Ofinite(tc_bool))).
% 0.97/1.16 cnf(i_0_1556, plain, (class_OrderedGroup_Oab__semigroup__mult(tc_nat))).
% 0.97/1.16 cnf(i_0_1580, plain, (class_HOL_Oord(tc_bool))).
% 0.97/1.16 cnf(i_0_1568, plain, (class_HOL_Oord(tc_nat))).
% 0.97/1.16 cnf(i_0_1581, plain, (class_Complete__Lattice_Ocomplete__lattice(tc_Predicate_Opred(X1)))).
% 0.97/1.16 cnf(i_0_1585, plain, (class_Lattices_Obounded__lattice(tc_Predicate_Opred(X1)))).
% 0.97/1.16 cnf(i_0_1588, plain, (class_Orderings_Oorder(tc_Predicate_Opred(X1)))).
% 0.97/1.16 cnf(i_0_1587, plain, (class_Lattices_Olattice(tc_Predicate_Opred(X1)))).
% 0.97/1.16 cnf(i_0_1590, plain, (class_Orderings_Obot(tc_Predicate_Opred(X1)))).
% 0.97/1.16 cnf(i_0_1584, plain, (class_Lattices_Odistrib__lattice(tc_Predicate_Opred(X1)))).
% 0.97/1.16 cnf(i_0_1582, plain, (class_Lattices_Oupper__semilattice(tc_Predicate_Opred(X1)))).
% 0.97/1.16 cnf(i_0_1586, plain, (class_Orderings_Opreorder(tc_Predicate_Opred(X1)))).
% 0.97/1.16 cnf(i_0_1583, plain, (class_Lattices_Olower__semilattice(tc_Predicate_Opred(X1)))).
% 0.97/1.16 cnf(i_0_1589, plain, (class_Orderings_Otop(tc_Predicate_Opred(X1)))).
% 0.97/1.16 cnf(i_0_1591, plain, (class_HOL_Oord(tc_Predicate_Opred(X1)))).
% 0.97/1.16 cnf(i_0_830, plain, (c_Lambda_OdB_OAbs(X2)!=c_Lambda_OdB_OVar(X1))).
% 0.97/1.16 cnf(i_0_1388, plain, (c_Lambda_OdB_OAbs(X1)!=c_Lambda_OdB_OVar(X2))).
% 0.97/1.16 cnf(i_0_1382, plain, (X1=X2|c_Lambda_OdB_OVar(X1)!=c_Lambda_OdB_OVar(X2))).
% 0.97/1.16 cnf(i_0_958, plain, (X1=X2|c_Lambda_OdB_OAbs(X1)!=c_Lambda_OdB_OAbs(X2))).
% 0.97/1.16 cnf(i_0_1267, plain, (hAPP(c_COMBI(t_a),v_P)=v_P)).
% 0.97/1.16 cnf(i_0_963, plain, (hAPP(c_Fun_Oid(t_a),v_x)=v_x)).
% 0.97/1.16 cnf(i_0_878, plain, (hAPP(c_Collect(X1),X2)=X2)).
% 0.97/1.16 cnf(i_0_1049, plain, (hAPP(c_COMBI(X1),X2)=X2)).
% 0.97/1.16 cnf(i_0_1304, plain, (hAPP(c_Fun_Oid(X1),X2)=X2)).
% 0.97/1.16 cnf(i_0_1279, plain, (c_Finite__Set_Ofinite(X2,X1)|~class_Finite__Set_Ofinite_Ofinite(X1))).
% 0.97/1.16 cnf(i_0_1459, plain, (hBOOL(hAPP(c_InductTermi_OIT,v_ua______)))).
% 0.97/1.16 cnf(i_0_1461, plain, (hBOOL(hAPP(c_InductTermi_OIT,v_u____)))).
% 0.97/1.16 cnf(i_0_1150, plain, (~c_Lambda_Obeta(c_Lambda_OdB_OVar(X1),X2))).
% 0.97/1.16 cnf(i_0_1543, plain, (class_Complete__Lattice_Ocomplete__lattice(tc_fun(X1,X2))|~class_Complete__Lattice_Ocomplete__lattice(X2))).
% 0.97/1.16 cnf(i_0_1547, plain, (class_Lattices_Obounded__lattice(tc_fun(X1,X2))|~class_Lattices_Obounded__lattice(X2))).
% 0.97/1.16 cnf(i_0_1551, plain, (class_Orderings_Oorder(tc_fun(X1,X2))|~class_Orderings_Oorder(X2))).
% 0.97/1.16 cnf(i_0_1550, plain, (class_Lattices_Olattice(tc_fun(X1,X2))|~class_Lattices_Olattice(X2))).
% 0.97/1.16 cnf(i_0_1553, plain, (class_Orderings_Obot(tc_fun(X1,X2))|~class_Orderings_Obot(X2))).
% 0.97/1.16 cnf(i_0_1546, plain, (class_Lattices_Odistrib__lattice(tc_fun(X1,X2))|~class_Lattices_Odistrib__lattice(X2))).
% 0.97/1.16 cnf(i_0_1544, plain, (class_Lattices_Oupper__semilattice(tc_fun(X1,X2))|~class_Lattices_Olattice(X2))).
% 0.97/1.16 cnf(i_0_1549, plain, (class_Orderings_Opreorder(tc_fun(X1,X2))|~class_Orderings_Opreorder(X2))).
% 0.97/1.16 cnf(i_0_1545, plain, (class_Lattices_Olower__semilattice(tc_fun(X1,X2))|~class_Lattices_Olattice(X2))).
% 0.97/1.16 cnf(i_0_1552, plain, (class_Orderings_Otop(tc_fun(X1,X2))|~class_Orderings_Otop(X2))).
% 0.97/1.16 cnf(i_0_1554, plain, (class_HOL_Oord(tc_fun(X1,X2))|~class_HOL_Oord(X2))).
% 0.97/1.16 cnf(i_0_1458, plain, (hBOOL(hAPP(c_InductTermi_OIT,c_Lambda_OdB_OVar(X1))))).
% 0.97/1.16 cnf(i_0_1206, plain, (c_Finite__Set_Ofinite(c_List_Oset(X1,X2),X2))).
% 0.97/1.16 cnf(i_0_1548, plain, (class_Finite__Set_Ofinite_Ofinite(tc_fun(X1,X2))|~class_Finite__Set_Ofinite_Ofinite(X2)|~class_Finite__Set_Ofinite_Ofinite(X1))).
% 0.97/1.16 cnf(i_0_1542, plain, (class_Finite__Set_Ofinite_Ofinite(tc_prod(X1,X2))|~class_Finite__Set_Ofinite_Ofinite(X2)|~class_Finite__Set_Ofinite_Ofinite(X1))).
% 0.97/1.16 cnf(i_0_1213, plain, (X2=X4|c_Type_Otype_OFun(X1,X2)!=c_Type_Otype_OFun(X3,X4))).
% 0.97/1.16 cnf(i_0_1068, plain, (X1=X3|c_Predicate_Opred_OPred(X1,X2)!=c_Predicate_Opred_OPred(X3,X2))).
% 0.97/1.16 cnf(i_0_1214, plain, (X1=X3|c_Type_Otype_OFun(X1,X2)!=c_Type_Otype_OFun(X3,X4))).
% 0.97/1.16 cnf(i_0_1063, plain, (hAPP(c_Predicate_Oeval(X1),c_Predicate_Opred_OPred(X2,X1))=X2)).
% 0.97/1.16 cnf(i_0_916, plain, (c_List_Oset(c_List_Olist_ONil(X1),X1)=c_Orderings_Obot__class_Obot(tc_fun(X1,tc_bool)))).
% 0.97/1.16 cnf(i_0_1226, plain, (c_List_Oset(c_List_Olist_ONil(X1),X1)=c_Orderings_Obot__class_Obot(tc_fun(X1,tc_bool)))).
% 0.97/1.16 cnf(i_0_1302, plain, (c_Lambda_Obeta(c_Lambda_OdB_OAbs(X1),c_Lambda_OdB_OAbs(X2))|~c_Lambda_Obeta(X1,X2))).
% 0.97/1.16 cnf(i_0_1394, plain, (c_The(hAPP(c_fequal(X1),X2),X1)=X2)).
% 0.97/1.16 cnf(i_0_1374, plain, (c_Hilbert__Choice_OEps(hAPP(c_fequal(X1),X2),X1)=X2)).
% 0.97/1.16 cnf(i_0_1051, plain, (c_Predicate_Opred_OPred(hAPP(c_Predicate_Oeval(X1),X2),X1)=X2)).
% 0.97/1.16 cnf(i_0_1300, plain, (c_Transitive__Closure_Ortranclp(c_Transitive__Closure_Ortranclp(X1,X2),X2)=c_Transitive__Closure_Ortranclp(X1,X2))).
% 0.97/1.16 cnf(i_0_1224, plain, (hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(X1),X2),X2)=X2|~class_Lattices_Olower__semilattice(X1))).
% 0.97/1.16 cnf(i_0_933, plain, (hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(X1),X2),X2)=X2|~class_Lattices_Oupper__semilattice(X1))).
% 0.97/1.16 cnf(i_0_1376, plain, (hAPP(hAPP(c_HOL_Otimes__class_Otimes(X1),X2),X2)=X2|~class_OrderedGroup_Oab__semigroup__idem__mult(X1))).
% 0.97/1.16 cnf(i_0_875, plain, (c_List_Oappend(X1,c_List_Olist_ONil(X2),X2)=X1)).
% 0.97/1.16 cnf(i_0_873, plain, (c_List_Oappend(c_List_Olist_ONil(X2),X1,X2)=X1)).
% 0.97/1.16 cnf(i_0_876, plain, (c_List_Oappend(c_List_Olist_ONil(X2),X1,X2)=X1)).
% 0.97/1.16 cnf(i_0_877, plain, (c_List_Oappend(X1,c_List_Olist_ONil(X2),X2)=X1)).
% 0.97/1.16 cnf(i_0_874, plain, (c_List_Oappend(c_List_Olist_ONil(X1),X2,X1)=X2)).
% 0.97/1.16 cnf(i_0_974, plain, (c_Lambda_OdB_OVar(X1)!=hAPP(hAPP(c_Lambda_OdB_OApp,X2),X3))).
% 0.97/1.16 cnf(i_0_1366, plain, (c_Lambda_OdB_OAbs(X1)!=hAPP(hAPP(c_Lambda_OdB_OApp,X2),X3))).
% 0.97/1.16 cnf(i_0_1313, plain, (hAPP(hAPP(c_Lambda_OdB_OApp,X1),X2)!=c_Lambda_OdB_OVar(X3))).
% 0.97/1.16 cnf(i_0_1387, plain, (hAPP(hAPP(c_Lambda_OdB_OApp,X1),X2)!=c_Lambda_OdB_OAbs(X3))).
% 0.97/1.16 cnf(i_0_1117, plain, (c_List_Ofilter(X1,c_List_Olist_ONil(X2),X2)=c_List_Olist_ONil(X2))).
% 0.97/1.16 cnf(i_0_992, plain, (X2=X3|hAPP(c_Predicate_Oeval(X1),X2)!=hAPP(c_Predicate_Oeval(X1),X3))).
% 0.97/1.16 cnf(i_0_810, plain, (c_Finite__Set_Ofinite(c_Orderings_Obot__class_Obot(tc_fun(X1,tc_bool)),X1))).
% 0.97/1.16 cnf(i_0_994, plain, (hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(X1),X2),c_Orderings_Otop__class_Otop(X1))=X2|~class_Lattices_Obounded__lattice(X1))).
% 0.97/1.16 cnf(i_0_967, plain, (hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(X1),X2),c_Orderings_Obot__class_Obot(X1))=X2|~class_Lattices_Obounded__lattice(X1))).
% 0.97/1.16 cnf(i_0_840, plain, (hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(X1),X2),c_Orderings_Obot__class_Obot(X1))=c_Orderings_Obot__class_Obot(X1)|~class_Lattices_Obounded__lattice(X1))).
% 0.97/1.16 cnf(i_0_868, plain, (hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(X1),X2),c_Orderings_Otop__class_Otop(X1))=c_Orderings_Otop__class_Otop(X1)|~class_Lattices_Obounded__lattice(X1))).
% 0.97/1.16 cnf(i_0_1405, plain, (X1=c_List_Olist_ONil(X2)|c_List_Oset(X1,X2)!=c_Orderings_Obot__class_Obot(tc_fun(X2,tc_bool)))).
% 0.97/1.16 cnf(i_0_833, plain, (X2=c_List_Olist_ONil(X1)|c_List_Oset(X2,X1)!=c_Orderings_Obot__class_Obot(tc_fun(X1,tc_bool)))).
% 0.97/1.16 cnf(i_0_1289, plain, (c_List_Oappend(c_List_Olist_ONil(X1),c_List_Olist_ONil(X1),X1)=c_List_Olist_ONil(X1))).
% 0.97/1.16 cnf(i_0_1416, plain, (c_List_Oappend(c_List_Olist_ONil(X1),c_List_Olist_ONil(X1),X1)=c_List_Olist_ONil(X1))).
% 0.97/1.16 cnf(i_0_995, plain, (hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(X1),c_Orderings_Otop__class_Otop(X1)),X2)=X2|~class_Lattices_Obounded__lattice(X1))).
% 0.97/1.16 cnf(i_0_968, plain, (hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(X1),c_Orderings_Obot__class_Obot(X1)),X2)=X2|~class_Lattices_Obounded__lattice(X1))).
% 0.97/1.16 cnf(i_0_1219, plain, (c_Finite__Set_Ofinite(c_Orderings_Otop__class_Otop(tc_fun(X1,tc_bool)),X1)|~class_Finite__Set_Ofinite_Ofinite(X1))).
% 0.97/1.16 cnf(i_0_896, plain, (hAPP(c_Orderings_Obot__class_Obot(tc_fun(t_a,X1)),v_x)=c_Orderings_Obot__class_Obot(X1)|~class_Orderings_Obot(X1))).
% 0.97/1.16 cnf(i_0_1011, plain, (hAPP(c_Orderings_Otop__class_Otop(tc_fun(t_a,X1)),v_x)=c_Orderings_Otop__class_Otop(X1)|~class_Orderings_Otop(X1))).
% 0.97/1.16 cnf(i_0_839, plain, (hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(X1),c_Orderings_Obot__class_Obot(X1)),X2)=c_Orderings_Obot__class_Obot(X1)|~class_Lattices_Obounded__lattice(X1))).
% 0.97/1.16 cnf(i_0_867, plain, (hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(X1),c_Orderings_Otop__class_Otop(X1)),X2)=c_Orderings_Otop__class_Otop(X1)|~class_Lattices_Obounded__lattice(X1))).
% 0.97/1.16 cnf(i_0_1460, plain, (hBOOL(hAPP(c_InductTermi_OIT,c_Lambda_OdB_OAbs(X1)))|~hBOOL(hAPP(c_InductTermi_OIT,X1)))).
% 0.97/1.16 cnf(i_0_818, plain, (hAPP(c_Complete__Lattice_OSup__class_OSup(X1),c_Orderings_Obot__class_Obot(tc_fun(X1,tc_bool)))=c_Orderings_Obot__class_Obot(X1)|~class_Complete__Lattice_Ocomplete__lattice(X1))).
% 0.97/1.16 cnf(i_0_1303, plain, (hAPP(c_Complete__Lattice_OSup__class_OSup(X1),c_Orderings_Otop__class_Otop(tc_fun(X1,tc_bool)))=c_Orderings_Otop__class_Otop(X1)|~class_Complete__Lattice_Ocomplete__lattice(X1))).
% 0.97/1.16 cnf(i_0_1207, plain, (hAPP(c_Complete__Lattice_OInf__class_OInf(X1),c_Orderings_Obot__class_Obot(tc_fun(X1,tc_bool)))=c_Orderings_Otop__class_Otop(X1)|~class_Complete__Lattice_Ocomplete__lattice(X1))).
% 0.97/1.16 cnf(i_0_1000, plain, (hAPP(c_Complete__Lattice_OInf__class_OInf(X1),c_Orderings_Otop__class_Otop(tc_fun(X1,tc_bool)))=c_Orderings_Obot__class_Obot(X1)|~class_Complete__Lattice_Ocomplete__lattice(X1))).
% 0.97/1.16 cnf(i_0_987, plain, (c_Orderings_Otop__class_Otop(tc_fun(X1,tc_bool))!=c_Orderings_Obot__class_Obot(tc_fun(X1,tc_bool)))).
% 0.97/1.16 cnf(i_0_1285, plain, (c_Lambda_Obeta(c_Lambda_Olift(X1,X2),c_Lambda_Olift(X3,X2))|~c_Lambda_Obeta(X1,X3))).
% 0.97/1.16 cnf(i_0_1301, plain, (X2=c_Orderings_Obot__class_Obot(tc_fun(X1,tc_bool))|c_Finite__Set_Olattice__class_OInf__fin(X2,X1)=hAPP(c_Complete__Lattice_OInf__class_OInf(X1),X2)|~class_Complete__Lattice_Ocomplete__lattice(X1)|~c_Finite__Set_Ofinite(X2,X1))).
% 0.97/1.16 cnf(i_0_1368, plain, (X2=c_Orderings_Obot__class_Obot(tc_fun(X1,tc_bool))|c_Finite__Set_Olattice__class_OSup__fin(X2,X1)=hAPP(c_Complete__Lattice_OSup__class_OSup(X1),X2)|~class_Complete__Lattice_Ocomplete__lattice(X1)|~c_Finite__Set_Ofinite(X2,X1))).
% 0.97/1.16 cnf(i_0_1212, plain, (X2=c_List_Olist_ONil(X3)|c_List_Oappend(X2,X1,X3)!=X1)).
% 0.97/1.16 cnf(i_0_1210, plain, (X2=c_List_Olist_ONil(X3)|c_List_Oappend(X1,X2,X3)!=X1)).
% 0.97/1.16 cnf(i_0_1209, plain, (X2=c_List_Olist_ONil(X3)|c_List_Oappend(X1,X2,X3)!=X1)).
% 0.97/1.16 cnf(i_0_1211, plain, (X1=c_List_Olist_ONil(X3)|c_List_Oappend(X1,X2,X3)!=X2)).
% 0.97/1.16 cnf(i_0_1050, plain, (hAPP(hAPP(c_COMBK(X1,X2),X3),X4)=X3)).
% 0.97/1.16 cnf(i_0_956, plain, (X3=c_List_Olist_ONil(X1)|c_List_Olist_ONil(X1)!=c_List_Oappend(X2,X3,X1))).
% 0.97/1.16 cnf(i_0_955, plain, (X2=c_List_Olist_ONil(X1)|c_List_Olist_ONil(X1)!=c_List_Oappend(X2,X3,X1))).
% 0.97/1.16 cnf(i_0_961, plain, (X2=c_List_Olist_ONil(X3)|c_List_Oappend(X1,X2,X3)!=c_List_Olist_ONil(X3))).
% 0.97/1.16 cnf(i_0_960, plain, (X1=c_List_Olist_ONil(X3)|c_List_Oappend(X1,X2,X3)!=c_List_Olist_ONil(X3))).
% 0.97/1.16 cnf(i_0_1132, plain, (X3=c_Orderings_Obot__class_Obot(X1)|hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(X1),X2),X3)!=c_Orderings_Obot__class_Obot(X1)|~class_Lattices_Obounded__lattice(X1))).
% 0.97/1.16 cnf(i_0_976, plain, (X3=c_Orderings_Otop__class_Otop(X1)|hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(X1),X2),X3)!=c_Orderings_Otop__class_Otop(X1)|~class_Lattices_Obounded__lattice(X1))).
% 0.97/1.16 cnf(i_0_1131, plain, (X2=c_Orderings_Obot__class_Obot(X1)|hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(X1),X2),X3)!=c_Orderings_Obot__class_Obot(X1)|~class_Lattices_Obounded__lattice(X1))).
% 0.97/1.16 cnf(i_0_977, plain, (X2=c_Orderings_Otop__class_Otop(X1)|hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(X1),X2),X3)!=c_Orderings_Otop__class_Otop(X1)|~class_Lattices_Obounded__lattice(X1))).
% 0.97/1.16 cnf(i_0_1595, plain, (hBOOL(hAPP(hAPP(c_fequal(X1),X2),X2)))).
% 0.97/1.16 cnf(i_0_1444, plain, (hAPP(hAPP(hAPP(c_Lambda_Osubst,c_Lambda_OdB_OVar(X1)),X2),X1)=X2)).
% 0.97/1.16 cnf(i_0_1098, plain, (hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(X1),X2),X3)=hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(X1),X3),X2)|~class_Lattices_Olattice(X1))).
% 0.97/1.16 cnf(i_0_1097, plain, (hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(X1),X2),X3)=hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(X1),X3),X2)|~class_Lattices_Olower__semilattice(X1))).
% 0.97/1.16 cnf(i_0_1254, plain, (hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(X1),X2),X3)=hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(X1),X3),X2)|~class_Lattices_Olattice(X1))).
% 0.97/1.16 cnf(i_0_1253, plain, (hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(X1),X2),X3)=hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(X1),X3),X2)|~class_Lattices_Oupper__semilattice(X1))).
% 0.97/1.16 cnf(i_0_928, plain, (hAPP(hAPP(c_HOL_Otimes__class_Otimes(X1),X2),X3)=hAPP(hAPP(c_HOL_Otimes__class_Otimes(X1),X3),X2)|~class_Ring__and__Field_Ocomm__semiring__1(X1))).
% 0.97/1.16 cnf(i_0_929, plain, (hAPP(hAPP(c_HOL_Otimes__class_Otimes(X1),X2),X3)=hAPP(hAPP(c_HOL_Otimes__class_Otimes(X1),X3),X2)|~class_Ring__and__Field_Ocomm__semiring__1(X1))).
% 0.97/1.16 cnf(i_0_1349, plain, (hBOOL(hAPP(hAPP(c_lessequals(X1),X2),X2))|~class_Orderings_Oorder(X1))).
% 0.97/1.16 cnf(i_0_1350, plain, (hBOOL(hAPP(hAPP(c_lessequals(X1),X2),X2))|~class_Orderings_Opreorder(X1))).
% 0.97/1.16 cnf(i_0_1026, plain, (X2=X4|hAPP(hAPP(c_Lambda_OdB_OApp,X1),X2)!=hAPP(hAPP(c_Lambda_OdB_OApp,X3),X4))).
% 0.97/1.16 cnf(i_0_1027, plain, (X1=X3|hAPP(hAPP(c_Lambda_OdB_OApp,X1),X2)!=hAPP(hAPP(c_Lambda_OdB_OApp,X3),X4))).
% 0.97/1.16 cnf(i_0_1013, plain, (hAPP(c_Collect(X1),X2)!=c_Orderings_Obot__class_Obot(tc_fun(X1,tc_bool))|~hBOOL(hAPP(X2,X3)))).
% 0.97/1.16 cnf(i_0_1197, plain, (hAPP(c_Collect(X1),X2)!=c_Orderings_Obot__class_Obot(tc_fun(X1,tc_bool))|~hBOOL(hAPP(X2,X3)))).
% 0.97/1.16 cnf(i_0_1457, plain, (hBOOL(hAPP(c_InductTermi_OIT,c_Lambda_Olift(X1,X2)))|~hBOOL(hAPP(c_InductTermi_OIT,X1)))).
% 0.97/1.16 cnf(i_0_1468, plain, (hBOOL(c_List_Olistsp(X1,c_List_Olist_ONil(X2),X2)))).
% 0.97/1.16 cnf(i_0_1168, plain, (hAPP(hAPP(c_Set_Oinsert(X1),X2),X3)!=c_Orderings_Obot__class_Obot(tc_fun(X1,tc_bool)))).
% 0.97/1.16 cnf(i_0_862, plain, (hAPP(hAPP(c_Set_Oinsert(X1),X2),X3)!=c_Orderings_Obot__class_Obot(tc_fun(X1,tc_bool)))).
% 0.97/1.16 cnf(i_0_1187, plain, (hBOOL(hAPP(hAPP(c_lessequals(X1),X2),c_Orderings_Otop__class_Otop(X1)))|~class_Orderings_Otop(X1))).
% 0.97/1.16 cnf(i_0_1111, plain, (hBOOL(hAPP(X1,c_Hilbert__Choice_OEps(X1,X3)))|~hBOOL(hAPP(X1,X2)))).
% 0.97/1.16 cnf(i_0_1112, plain, (hBOOL(hAPP(X1,c_Hilbert__Choice_OEps(X1,X2)))|~hBOOL(hAPP(X1,X3)))).
% 0.97/1.16 cnf(i_0_900, plain, (hAPP(c_Set_Oimage(c_COMBI(X1),X1,X1),X2)=X2)).
% 0.97/1.16 cnf(i_0_1255, plain, (hAPP(c_Set_Oimage(c_Fun_Oid(X1),X1,X1),X2)=X2)).
% 0.97/1.16 cnf(i_0_1008, plain, (hBOOL(hAPP(c_Orderings_Otop__class_Otop(tc_fun(X1,tc_bool)),X2)))).
% 0.97/1.16 cnf(i_0_1280, plain, (hBOOL(hAPP(X2,c_Orderings_Oord__class_OLeast(X2,X1)))|~class_Orderings_Owellorder(X1)|~hBOOL(hAPP(X2,X3)))).
% 0.97/1.16 cnf(i_0_1281, plain, (hBOOL(hAPP(X2,c_Orderings_Oord__class_OLeast(X2,X1)))|~class_Orderings_Owellorder(X1)|~hBOOL(hAPP(X2,X3)))).
% 0.97/1.16 cnf(i_0_872, plain, (hBOOL(hAPP(hAPP(c_lessequals(X1),c_Orderings_Obot__class_Obot(X1)),X2))|~class_Orderings_Obot(X1))).
% 0.97/1.16 cnf(i_0_809, plain, (c_Finite__Set_Ofinite(hAPP(hAPP(c_Set_Oinsert(X1),X2),X3),X1)|~c_Finite__Set_Ofinite(X3,X1))).
% 0.97/1.16 cnf(i_0_1225, plain, (hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(X1,tc_bool)),X2),X2)=X2)).
% 0.97/1.16 cnf(i_0_932, plain, (hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(X1,tc_bool)),X2),X2)=X2)).
% 0.97/1.16 cnf(i_0_936, plain, (c_Hilbert__Choice_OEps(X1,X2)=X3|hBOOL(hAPP(X1,c_Hilbert__Choice_OEps(X1,X2)))|~hBOOL(hAPP(X1,X3)))).
% 0.97/1.16 cnf(i_0_1159, plain, (hAPP(hAPP(c_in(t_a),v_x),c_Orderings_Obot__class_Obot(tc_fun(t_a,tc_bool)))=hAPP(c_Orderings_Obot__class_Obot(tc_fun(t_a,tc_bool)),v_x))).
% 0.97/1.16 cnf(i_0_1002, plain, (~hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(tc_nat),X1),X1)))).
% 0.97/1.16 cnf(i_0_1003, plain, (~hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(tc_nat),X1),X1)))).
% 0.97/1.16 cnf(i_0_1478, plain, (hBOOL(hAPP(hAPP(hAPP(c_Type_Otyping,v_ea______),v_ua______),v_T____)))).
% 0.97/1.16 cnf(i_0_1529, plain, (hBOOL(hAPP(hAPP(hAPP(c_Type_Otyping,v_e____),v_u____),v_T____)))).
% 0.97/1.16 cnf(i_0_1047, plain, (hBOOL(hAPP(hAPP(c_in(X1),X2),X3))|~hBOOL(hAPP(X3,X2)))).
% 0.97/1.16 cnf(i_0_1402, plain, (hAPP(c_Collect(X1),hAPP(c_fequal(X1),X2))=hAPP(hAPP(c_Set_Oinsert(X1),X2),c_Orderings_Obot__class_Obot(tc_fun(X1,tc_bool))))).
% 0.97/1.16 cnf(i_0_1028, plain, (hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(X1),X2),hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(X1),X2),X3))=X2|~class_Lattices_Olattice(X1))).
% 0.97/1.16 cnf(i_0_1007, plain, (hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(X1),X2),hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(X1),X2),X3))=X2|~class_Lattices_Olattice(X1))).
% 0.97/1.16 cnf(i_0_999, plain, (hBOOL(hAPP(hAPP(X1,X4),X4))|~c_Orderings_Oorder(X1,X2,X3))).
% 0.97/1.16 cnf(i_0_1596, plain, (X1=X2|~hBOOL(hAPP(hAPP(c_fequal(X3),X1),X2)))).
% 0.97/1.16 cnf(i_0_1283, plain, (c_Lambda_Olift(c_Lambda_OdB_OVar(X1),X2)=c_Lambda_OdB_OVar(X1)|~hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(tc_nat),X1),X2)))).
% 0.97/1.16 cnf(i_0_892, plain, (X2=X4|c_List_Oappend(X1,X2,X3)!=c_List_Oappend(X1,X4,X3))).
% 0.97/1.16 cnf(i_0_893, plain, (X1=X4|c_List_Oappend(X1,X2,X3)!=c_List_Oappend(X4,X2,X3))).
% 0.97/1.16 cnf(i_0_1004, plain, (~class_Orderings_Oorder(X1)|~hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(X1),X2),X2)))).
% 0.97/1.16 cnf(i_0_1005, plain, (~class_Orderings_Olinorder(X1)|~hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(X1),X2),X2)))).
% 0.97/1.16 cnf(i_0_1006, plain, (~class_Orderings_Opreorder(X1)|~hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(X1),X2),X2)))).
% 0.97/1.16 cnf(i_0_1251, plain, (c_Lambda_Obeta(hAPP(hAPP(c_Lambda_OdB_OApp,X1),X2),hAPP(hAPP(c_Lambda_OdB_OApp,X3),X2))|~c_Lambda_Obeta(X1,X3))).
% 0.97/1.16 cnf(i_0_1250, plain, (c_Lambda_Obeta(hAPP(hAPP(c_Lambda_OdB_OApp,X1),X2),hAPP(hAPP(c_Lambda_OdB_OApp,X1),X3))|~c_Lambda_Obeta(X2,X3))).
% 0.97/1.16 cnf(i_0_889, plain, (hBOOL(hAPP(hAPP(c_Transitive__Closure_Ortranclp(X1,X2),X3),X3)))).
% 0.97/1.16 cnf(i_0_890, plain, (hBOOL(hAPP(hAPP(c_Transitive__Closure_Ortranclp(X1,X2),X3),X3)))).
% 0.97/1.16 cnf(i_0_1446, plain, (hAPP(hAPP(hAPP(c_Lambda_Osubst,c_Lambda_Olift(X1,X2)),X3),X2)=X1)).
% 0.97/1.16 cnf(i_0_1016, plain, (X1=X2|hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(tc_nat),X2),X1))|hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(tc_nat),X1),X2)))).
% 0.97/1.16 cnf(i_0_1019, plain, (X1=X2|hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(tc_nat),X2),X1))|hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(tc_nat),X1),X2)))).
% 0.97/1.16 cnf(i_0_997, plain, (hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(X1,tc_bool)),X2),c_Orderings_Otop__class_Otop(tc_fun(X1,tc_bool)))=X2)).
% 0.97/1.16 cnf(i_0_970, plain, (hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(X1,tc_bool)),X2),c_Orderings_Obot__class_Obot(tc_fun(X1,tc_bool)))=X2)).
% 0.97/1.16 cnf(i_0_808, plain, (c_Finite__Set_Ofinite(X1,X2)|~c_Finite__Set_Ofinite(hAPP(hAPP(c_Set_Oinsert(X2),X3),X1),X2))).
% 0.97/1.16 cnf(i_0_1087, plain, (hBOOL(hAPP(hAPP(c_lessequals(X1),X2),X3))|hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(X1),X2),X3)!=X2|~class_Lattices_Olower__semilattice(X1))).
% 0.97/1.16 cnf(i_0_1034, plain, (hBOOL(hAPP(hAPP(c_lessequals(X1),X2),X3))|hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(X1),X2),X3)!=X3|~class_Lattices_Oupper__semilattice(X1))).
% 0.97/1.16 cnf(i_0_1048, plain, (hBOOL(hAPP(X1,X2))|~hBOOL(hAPP(hAPP(c_in(X3),X2),X1)))).
% 0.97/1.16 cnf(i_0_1268, plain, (hAPP(c_Set_Oimage(X2,X3,X1),c_Orderings_Obot__class_Obot(tc_fun(X3,tc_bool)))=c_Orderings_Obot__class_Obot(tc_fun(X1,tc_bool)))).
% 0.97/1.16 cnf(i_0_1067, plain, (hAPP(c_Set_Oimage(X1,X2,X3),c_Orderings_Obot__class_Obot(tc_fun(X2,tc_bool)))=c_Orderings_Obot__class_Obot(tc_fun(X3,tc_bool)))).
% 0.97/1.16 cnf(i_0_856, plain, (hAPP(c_Relation_OImage(X1,X2,X3),c_Orderings_Obot__class_Obot(tc_fun(X2,tc_bool)))=c_Orderings_Obot__class_Obot(tc_fun(X3,tc_bool)))).
% 0.97/1.16 cnf(i_0_841, plain, (hAPP(hAPP(c_Lambda_OdB_OApp,c_Lambda_Olift(X1,X3)),c_Lambda_Olift(X2,X3))=c_Lambda_Olift(hAPP(hAPP(c_Lambda_OdB_OApp,X1),X2),X3))).
% 0.97/1.16 cnf(i_0_1060, plain, (hAPP(hAPP(hAPP(c_Lambda_Osubst,c_Lambda_OdB_OVar(X1)),X2),X1)=X2|hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(tc_nat),X1),X1)))).
% 0.97/1.16 cnf(i_0_927, plain, (X3=c_Orderings_Obot__class_Obot(tc_fun(X2,tc_bool))|hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(X2,X1),X3),hAPP(c_COMBK(X1,X2),X4))=X4|~class_Complete__Lattice_Ocomplete__lattice(X1))).
% 0.97/1.16 cnf(i_0_1120, plain, (X3=c_Orderings_Obot__class_Obot(tc_fun(X2,tc_bool))|hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(X2,X1),X3),hAPP(c_COMBK(X1,X2),X4))=X4|~class_Complete__Lattice_Ocomplete__lattice(X1))).
% 0.97/1.16 cnf(i_0_855, plain, (hAPP(hAPP(c_Set_Oinsert(X1),X2),hAPP(hAPP(c_Set_Oinsert(X1),X2),X3))=hAPP(hAPP(c_Set_Oinsert(X1),X2),X3))).
% 0.97/1.16 cnf(i_0_823, plain, (hBOOL(hAPP(hAPP(c_in(X1),X2),c_Orderings_Otop__class_Otop(tc_fun(X1,tc_bool)))))).
% 0.97/1.16 cnf(i_0_985, plain, (~hBOOL(hAPP(c_Orderings_Obot__class_Obot(tc_fun(X1,tc_bool)),X2)))).
% 0.97/1.16 cnf(i_0_905, plain, (X1=X3|hAPP(hAPP(hAPP(c_Lambda_Osubst,c_Lambda_OdB_OVar(X1)),X2),X3)=c_Lambda_OdB_OVar(X1)|hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(tc_nat),X3),X1)))).
% 0.97/1.16 cnf(i_0_1199, plain, (hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(X1),X2),hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(X1),X2),X3))=hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(X1),X2),X3)|~class_Lattices_Olattice(X1))).
% 0.97/1.16 cnf(i_0_1200, plain, (hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(X1),X2),hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(X1),X2),X3))=hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(X1),X2),X3)|~class_Lattices_Olower__semilattice(X1))).
% 0.97/1.16 cnf(i_0_1266, plain, (hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(X1),X2),hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(X1),X2),X3))=hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(X1),X2),X3)|~class_Lattices_Olattice(X1))).
% 0.97/1.16 cnf(i_0_1265, plain, (hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(X1),X2),hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(X1),X2),X3))=hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(X1),X2),X3)|~class_Lattices_Oupper__semilattice(X1))).
% 0.97/1.16 cnf(i_0_1167, plain, (hAPP(hAPP(c_HOL_Otimes__class_Otimes(X1),X2),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X1),X2),X3))=hAPP(hAPP(c_HOL_Otimes__class_Otimes(X1),X2),X3)|~class_OrderedGroup_Oab__semigroup__idem__mult(X1))).
% 0.97/1.16 cnf(i_0_799, plain, (hBOOL(c_Relation_Ototal__on(c_Orderings_Obot__class_Obot(tc_fun(X1,tc_bool)),X2,X1)))).
% 0.97/1.16 cnf(i_0_930, plain, (~c_Orderings_Oorder(X3,X1,X4)|~hBOOL(hAPP(hAPP(X1,X2),X2)))).
% 0.97/1.16 cnf(i_0_869, plain, (hAPP(c_Complete__Lattice_OSup__class_OSup(X1),hAPP(hAPP(c_Set_Oinsert(X1),X2),X3))=hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(X1),X2),hAPP(c_Complete__Lattice_OSup__class_OSup(X1),X3))|~class_Complete__Lattice_Ocomplete__lattice(X1))).
% 0.97/1.16 cnf(i_0_884, plain, (hAPP(c_Complete__Lattice_OInf__class_OInf(X1),hAPP(hAPP(c_Set_Oinsert(X1),X2),X3))=hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(X1),X2),hAPP(c_Complete__Lattice_OInf__class_OInf(X1),X3))|~class_Complete__Lattice_Ocomplete__lattice(X1))).
% 0.97/1.16 cnf(i_0_1056, plain, (hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(X1),X3),X2))|hBOOL(hAPP(hAPP(c_lessequals(X1),X2),X3))|~class_Orderings_Olinorder(X1))).
% 0.97/1.16 cnf(i_0_1052, plain, (hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(X1),X2),X3))|hBOOL(hAPP(hAPP(c_lessequals(X1),X3),X2))|~class_Orderings_Olinorder(X1))).
% 0.97/1.16 cnf(i_0_1058, plain, (hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(X1),X2),X3))|hBOOL(hAPP(hAPP(c_lessequals(X1),X3),X2))|~class_Orderings_Olinorder(X1))).
% 0.97/1.16 cnf(i_0_1054, plain, (hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(X1),X2),X2))|hBOOL(hAPP(hAPP(c_lessequals(X1),X2),X2))|~class_Orderings_Olinorder(X1))).
% 0.97/1.16 cnf(i_0_1436, plain, (hBOOL(hAPP(hAPP(c_lessequals(X1),X3),X2))|hBOOL(hAPP(hAPP(c_lessequals(X1),X2),X3))|~class_Orderings_Olinorder(X1))).
% 0.97/1.16 cnf(i_0_829, plain, (c_The(hAPP(hAPP(c_Set_Oinsert(X1),X2),c_Orderings_Obot__class_Obot(tc_fun(X1,tc_bool))),X1)=X2)).
% 0.97/1.16 cnf(i_0_1261, plain, (hAPP(hAPP(c_Set_Oinsert(X1),X2),X3)=X3|~hBOOL(hAPP(hAPP(c_in(X1),X2),X3)))).
% 0.97/1.16 cnf(i_0_802, plain, (hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(X1,tc_bool)),X2),c_Orderings_Obot__class_Obot(tc_fun(X1,tc_bool)))=c_Orderings_Obot__class_Obot(tc_fun(X1,tc_bool)))).
% 0.97/1.16 cnf(i_0_865, plain, (hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(X1,tc_bool)),X2),c_Orderings_Otop__class_Otop(tc_fun(X1,tc_bool)))=c_Orderings_Otop__class_Otop(tc_fun(X1,tc_bool)))).
% 0.97/1.16 cnf(i_0_1015, plain, (X2=X3|hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(X1),X3),X2))|hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(X1),X2),X3))|~class_Orderings_Olinorder(X1))).
% 0.97/1.16 cnf(i_0_1021, plain, (X2=X3|hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(X1),X3),X2))|hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(X1),X2),X3))|~class_Orderings_Olinorder(X1))).
% 0.97/1.16 cnf(i_0_1024, plain, (X2=X3|hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(X1),X3),X2))|hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(X1),X2),X3))|~class_Orderings_Olinorder(X1))).
% 0.97/1.16 cnf(i_0_1025, plain, (X2=X3|hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(X1),X3),X2))|hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(X1),X2),X3))|~class_Orderings_Olinorder(X1))).
% 0.97/1.16 cnf(i_0_1014, plain, (X2=X3|hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(X1),X3),X2))|hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(X1),X2),X3))|~class_Ring__and__Field_Oordered__idom(X1))).
% 0.97/1.16 cnf(i_0_1088, plain, (hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(X1),X2),X3)=X3|~class_Lattices_Olower__semilattice(X1)|~hBOOL(hAPP(hAPP(c_lessequals(X1),X3),X2)))).
% 0.97/1.16 cnf(i_0_1086, plain, (hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(X1),X2),X3)=X2|~class_Lattices_Olower__semilattice(X1)|~hBOOL(hAPP(hAPP(c_lessequals(X1),X2),X3)))).
% 0.97/1.16 cnf(i_0_1035, plain, (hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(X1),X2),X3)=X3|~class_Lattices_Oupper__semilattice(X1)|~hBOOL(hAPP(hAPP(c_lessequals(X1),X2),X3)))).
% 0.97/1.16 cnf(i_0_1033, plain, (hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(X1),X2),X3)=X2|~class_Lattices_Oupper__semilattice(X1)|~hBOOL(hAPP(hAPP(c_lessequals(X1),X3),X2)))).
% 0.97/1.16 cnf(i_0_1115, plain, (hBOOL(hAPP(hAPP(c_in(X1),X2),hAPP(c_Collect(X1),X3)))|~hBOOL(hAPP(X3,X2)))).
% 0.97/1.16 cnf(i_0_1118, plain, (hBOOL(hAPP(hAPP(c_in(X1),X2),X3))|hAPP(hAPP(c_Set_Oinsert(X1),X2),X3)!=c_Orderings_Obot__class_Obot(tc_fun(X1,tc_bool)))).
% 0.97/1.16 cnf(i_0_1353, plain, (hAPP(c_Complete__Lattice_OSup__class_OSup(X1),hAPP(hAPP(c_Set_Oinsert(X1),X2),c_Orderings_Obot__class_Obot(tc_fun(X1,tc_bool))))=X2|~class_Complete__Lattice_Ocomplete__lattice(X1))).
% 0.97/1.16 cnf(i_0_1275, plain, (hAPP(c_Complete__Lattice_OInf__class_OInf(X1),hAPP(hAPP(c_Set_Oinsert(X1),X2),c_Orderings_Obot__class_Obot(tc_fun(X1,tc_bool))))=X2|~class_Complete__Lattice_Ocomplete__lattice(X1))).
% 0.97/1.16 cnf(i_0_1198, plain, (hBOOL(hAPP(hAPP(hAPP(c_Set_Oinsert(X1),X2),X3),X2)))).
% 0.97/1.16 cnf(i_0_845, plain, (X4=X5|hAPP(X3,X4)!=hAPP(X3,X5)|~class_Orderings_Oorder(X2)|~class_Orderings_Olinorder(X1)|~hBOOL(c_Orderings_Oorder__class_Ostrict__mono(X3,X1,X2)))).
% 0.97/1.16 cnf(i_0_1287, plain, (hBOOL(hAPP(c_InductTermi_OIT,hAPP(hAPP(c_Lambda_OdB_OApp,X1),c_Lambda_OdB_OVar(X2))))|~hBOOL(hAPP(c_InductTermi_OIT,X1)))).
% 0.97/1.16 cnf(i_0_1534, plain, (hAPP(hAPP(hAPP(hAPP(c_Type_Oshift(X1),X2),X3),X4),X3)=X4)).
% 0.97/1.16 cnf(i_0_996, plain, (hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(X1,tc_bool)),c_Orderings_Otop__class_Otop(tc_fun(X1,tc_bool))),X2)=X2)).
% 0.97/1.16 cnf(i_0_969, plain, (hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(X1,tc_bool)),c_Orderings_Obot__class_Obot(tc_fun(X1,tc_bool))),X2)=X2)).
% 0.97/1.16 cnf(i_0_1464, plain, (hBOOL(hAPP(hAPP(hAPP(c_Type_Otyping,X1),c_Lambda_OdB_OVar(X2)),hAPP(X1,X2))))).
% 0.97/1.16 cnf(i_0_860, plain, (c_Fun_Oinj__on(c_COMBI(X1),X2,X1,X1))).
% 0.97/1.16 cnf(i_0_1044, plain, (c_Fun_Oinj__on(c_Fun_Oid(X1),X2,X1,X1))).
% 0.97/1.16 cnf(i_0_1288, plain, (c_List_Omap(X2,c_List_Olist_ONil(X3),X3,X1)=c_List_Olist_ONil(X1))).
% 0.97/1.16 cnf(i_0_1062, plain, (c_List_Omap(X1,c_List_Olist_ONil(X2),X2,X3)=c_List_Olist_ONil(X3))).
% 0.97/1.16 cnf(i_0_885, plain, (X4=c_Orderings_Obot__class_Obot(tc_fun(X3,tc_bool))|hAPP(c_Set_Oimage(X2,X3,X1),X4)!=c_Orderings_Obot__class_Obot(tc_fun(X1,tc_bool)))).
% 0.97/1.16 cnf(i_0_1365, plain, (X4=c_Orderings_Obot__class_Obot(tc_fun(X2,tc_bool))|hAPP(c_Set_Oimage(X1,X2,X3),X4)!=c_Orderings_Obot__class_Obot(tc_fun(X3,tc_bool)))).
% 0.97/1.16 cnf(i_0_1202, plain, (hAPP(hAPP(hAPP(c_Lambda_Osubst,c_Lambda_OdB_OVar(X1)),X2),X3)=c_Lambda_OdB_OVar(X1)|~hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(tc_nat),X1),X3)))).
% 0.97/1.16 cnf(i_0_980, plain, (hBOOL(hAPP(hAPP(c_lessequals(X1),c_Orderings_Oord__class_OLeast(X2,X1)),X3))|~class_Orderings_Owellorder(X1)|~hBOOL(hAPP(X2,X3)))).
% 0.97/1.16 cnf(i_0_1017, plain, (X2=X3|hBOOL(hAPP(hAPP(X1,X2),X3))|hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(tc_nat),X3),X2))|hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(tc_nat),X2),X3)))).
% 0.97/1.16 cnf(i_0_801, plain, (hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(X1,tc_bool)),c_Orderings_Obot__class_Obot(tc_fun(X1,tc_bool))),X2)=c_Orderings_Obot__class_Obot(tc_fun(X1,tc_bool)))).
% 0.97/1.16 cnf(i_0_866, plain, (hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(X1,tc_bool)),c_Orderings_Otop__class_Otop(tc_fun(X1,tc_bool))),X2)=c_Orderings_Otop__class_Otop(tc_fun(X1,tc_bool)))).
% 0.97/1.16 cnf(i_0_1142, plain, (c_Finite__Set_Ofinite(hAPP(c_Set_Oimage(X1,X2,X3),X4),X3)|~c_Finite__Set_Ofinite(X4,X2))).
% 0.97/1.16 cnf(i_0_1083, plain, (hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(X1),X2),c_Finite__Set_Olattice__class_OSup__fin(X3,X1))=X2|~class_Lattices_Olattice(X1)|~c_Finite__Set_Ofinite(X3,X1)|~hBOOL(hAPP(hAPP(c_in(X1),X2),X3)))).
% 0.97/1.16 cnf(i_0_857, plain, (hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(X1),X2),c_Finite__Set_Olattice__class_OInf__fin(X3,X1))=X2|~class_Lattices_Olattice(X1)|~c_Finite__Set_Ofinite(X3,X1)|~hBOOL(hAPP(hAPP(c_in(X1),X2),X3)))).
% 0.97/1.16 cnf(i_0_1031, plain, (hBOOL(hAPP(hAPP(c_lessequals(X1),X2),X3))|~class_Orderings_Oorder(X1)|~hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(X1),X2),X3)))).
% 0.97/1.16 cnf(i_0_1032, plain, (hBOOL(hAPP(hAPP(c_lessequals(X1),X2),X3))|~class_Orderings_Opreorder(X1)|~hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(X1),X2),X3)))).
% 0.97/1.16 cnf(i_0_1121, plain, (hBOOL(hAPP(hAPP(hAPP(c_Set_Oinsert(X1),X2),X3),X4))|~hBOOL(hAPP(X3,X4)))).
% 0.97/1.16 cnf(i_0_1406, plain, (X2=X3|hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(X1),X2),X3))|~class_Orderings_Oorder(X1)|~hBOOL(hAPP(hAPP(c_lessequals(X1),X2),X3)))).
% 0.97/1.16 cnf(i_0_1407, plain, (X2=X3|hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(X1),X2),X3))|~class_Orderings_Oorder(X1)|~hBOOL(hAPP(hAPP(c_lessequals(X1),X2),X3)))).
% 0.97/1.16 cnf(i_0_1408, plain, (X2=X3|hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(X1),X2),X3))|~class_Orderings_Oorder(X1)|~hBOOL(hAPP(hAPP(c_lessequals(X1),X2),X3)))).
% 0.97/1.16 cnf(i_0_1409, plain, (X2=X3|hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(X1),X2),X3))|~class_Orderings_Oorder(X1)|~hBOOL(hAPP(hAPP(c_lessequals(X1),X2),X3)))).
% 0.97/1.16 cnf(i_0_1410, plain, (X2=X3|hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(X1),X2),X3))|~class_Orderings_Oorder(X1)|~hBOOL(hAPP(hAPP(c_lessequals(X1),X2),X3)))).
% 0.97/1.16 cnf(i_0_1411, plain, (X2=X3|hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(X1),X2),X3))|~class_Orderings_Oorder(X1)|~hBOOL(hAPP(hAPP(c_lessequals(X1),X2),X3)))).
% 0.97/1.16 cnf(i_0_1412, plain, (X2=X3|hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(X1),X2),X3))|~class_Orderings_Olinorder(X1)|~hBOOL(hAPP(hAPP(c_lessequals(X1),X2),X3)))).
% 0.97/1.16 cnf(i_0_1413, plain, (X2=X3|hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(X1),X2),X3))|~class_Orderings_Olinorder(X1)|~hBOOL(hAPP(hAPP(c_lessequals(X1),X2),X3)))).
% 0.97/1.16 cnf(i_0_1096, plain, (hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(X1,tc_bool)),X2),X3)=hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(X1,tc_bool)),X3),X2))).
% 0.97/1.16 cnf(i_0_1252, plain, (hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(X1,tc_bool)),X2),X3)=hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(X1,tc_bool)),X3),X2))).
% 0.97/1.16 cnf(i_0_1380, plain, (X4=X6|hAPP(hAPP(c_Pair(X1,X2),X3),X4)!=hAPP(hAPP(c_Pair(X1,X2),X5),X6))).
% 0.97/1.16 cnf(i_0_1379, plain, (X3=X5|hAPP(hAPP(c_Pair(X1,X2),X3),X4)!=hAPP(hAPP(c_Pair(X1,X2),X5),X6))).
% 0.97/1.16 cnf(i_0_1129, plain, (X3=c_Orderings_Obot__class_Obot(tc_fun(X1,tc_bool))|hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(X1,tc_bool)),X2),X3)!=c_Orderings_Obot__class_Obot(tc_fun(X1,tc_bool)))).
% 0.97/1.16 cnf(i_0_1130, plain, (X2=c_Orderings_Obot__class_Obot(tc_fun(X1,tc_bool))|hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(X1,tc_bool)),X2),X3)!=c_Orderings_Obot__class_Obot(tc_fun(X1,tc_bool)))).
% 0.97/1.16 cnf(i_0_931, plain, (hBOOL(hAPP(hAPP(X1,X2),X3))|~c_Orderings_Oorder(X1,X4,X5)|~hBOOL(hAPP(hAPP(X4,X2),X3)))).
% 0.97/1.16 cnf(i_0_1070, plain, (c_Fun_Oinj__on(X1,c_Orderings_Obot__class_Obot(tc_fun(X2,tc_bool)),X2,X3))).
% 0.97/1.16 cnf(i_0_1269, plain, (X2=X3|hBOOL(hAPP(hAPP(X1,X2),X3))|~c_Orderings_Oorder(X4,X1,X5)|~hBOOL(hAPP(hAPP(X4,X2),X3)))).
% 0.97/1.16 cnf(i_0_1270, plain, (X2=X3|hBOOL(hAPP(hAPP(X1,X2),X3))|~c_Orderings_Oorder(X4,X1,X5)|~hBOOL(hAPP(hAPP(X4,X2),X3)))).
% 0.97/1.16 cnf(i_0_1271, plain, (X2=X3|hBOOL(hAPP(hAPP(X1,X2),X3))|~c_Orderings_Oorder(X4,X1,X5)|~hBOOL(hAPP(hAPP(X4,X2),X3)))).
% 0.97/1.16 cnf(i_0_1272, plain, (X1=X2|hBOOL(hAPP(hAPP(X3,X1),X2))|~c_Orderings_Oorder(X4,X3,X5)|~hBOOL(hAPP(hAPP(X4,X1),X2)))).
% 0.97/1.16 cnf(i_0_902, plain, (hBOOL(c_Orderings_Oorder__class_Omono(X3,X1,X2))|~class_Orderings_Oorder(X2)|~class_Orderings_Oorder(X1)|~hBOOL(c_Orderings_Oorder__class_Ostrict__mono(X3,X1,X2)))).
% 0.97/1.16 cnf(i_0_826, plain, (~class_Orderings_Owellorder(X1)|~hBOOL(hAPP(X2,X3))|~hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(X1),X3),c_Orderings_Oord__class_OLeast(X2,X1))))).
% 0.97/1.16 cnf(i_0_1045, plain, (hAPP(hAPP(c_Set_Oinsert(X1),X2),hAPP(hAPP(c_Set_Oinsert(X1),X3),X4))=hAPP(hAPP(c_Set_Oinsert(X1),X3),hAPP(hAPP(c_Set_Oinsert(X1),X2),X4)))).
% 0.97/1.16 cnf(i_0_1039, plain, (hBOOL(hAPP(hAPP(c_in(X1),X2),hAPP(hAPP(c_Set_Oinsert(X1),X2),X3))))).
% 0.97/1.16 cnf(i_0_1040, plain, (hBOOL(hAPP(hAPP(c_in(X1),X2),hAPP(hAPP(c_Set_Oinsert(X1),X2),X3))))).
% 0.97/1.16 cnf(i_0_1041, plain, (hBOOL(hAPP(hAPP(c_in(X1),X2),hAPP(hAPP(c_Set_Oinsert(X1),X2),X3))))).
% 0.97/1.16 cnf(i_0_1191, plain, (hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(X1,tc_fun(X2,tc_bool)),c_Orderings_Obot__class_Obot(tc_fun(X1,tc_bool))),X3)=c_Orderings_Otop__class_Otop(tc_fun(X2,tc_bool)))).
% 0.97/1.16 cnf(i_0_1392, plain, (hAPP(c_Complete__Lattice_OInf__class_OInf(t_b),hAPP(c_Set_Oimage(v_f,t_a,t_b),v_A))=hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(t_a,t_b),v_A),v_f)|~class_Complete__Lattice_Ocomplete__lattice(t_b))).
% 0.97/1.16 cnf(i_0_1418, plain, (hAPP(c_Complete__Lattice_OSup__class_OSup(t_b),hAPP(c_Set_Oimage(v_f,t_a,t_b),v_A))=hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(t_a,t_b),v_A),v_f)|~class_Complete__Lattice_Ocomplete__lattice(t_b))).
% 0.97/1.16 cnf(i_0_832, plain, (hBOOL(hAPP(hAPP(c_Transitive__Closure_Ortranclp(X1,X2),X3),X4))|~hBOOL(hAPP(hAPP(X1,X3),X4)))).
% 0.97/1.16 cnf(i_0_950, plain, (hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(X1),X2),hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(X1),X3),X4))=hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(X1),X3),hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(X1),X2),X4))|~class_Lattices_Olattice(X1))).
% 0.97/1.16 cnf(i_0_951, plain, (hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(X1),X2),hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(X1),X3),X4))=hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(X1),X3),hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(X1),X2),X4))|~class_Lattices_Olower__semilattice(X1))).
% 0.97/1.16 cnf(i_0_1075, plain, (hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(X1),X2),hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(X1),X3),X4))=hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(X1),X3),hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(X1),X2),X4))|~class_Lattices_Olattice(X1))).
% 0.97/1.16 cnf(i_0_1074, plain, (hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(X1),X2),hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(X1),X3),X4))=hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(X1),X3),hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(X1),X2),X4))|~class_Lattices_Oupper__semilattice(X1))).
% 0.97/1.16 cnf(i_0_1426, plain, (hAPP(hAPP(c_HOL_Otimes__class_Otimes(X1),X2),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X1),X3),X4))=hAPP(hAPP(c_HOL_Otimes__class_Otimes(X1),X3),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X1),X2),X4))|~class_Ring__and__Field_Ocomm__semiring__1(X1))).
% 0.97/1.16 cnf(i_0_1116, plain, (hBOOL(hAPP(X1,X2))|~hBOOL(hAPP(hAPP(c_in(X3),X2),hAPP(c_Collect(X3),X1))))).
% 0.97/1.16 cnf(i_0_1094, plain, (hBOOL(hAPP(hAPP(c_lessequals(X1),X2),hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(X1),X3),X2)))|~class_Lattices_Olattice(X1))).
% 0.97/1.16 cnf(i_0_1091, plain, (hBOOL(hAPP(hAPP(c_lessequals(X1),X2),hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(X1),X3),X2)))|~class_Lattices_Oupper__semilattice(X1))).
% 0.97/1.16 cnf(i_0_1095, plain, (hBOOL(hAPP(hAPP(c_lessequals(X1),X2),hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(X1),X2),X3)))|~class_Lattices_Olattice(X1))).
% 0.97/1.16 cnf(i_0_1090, plain, (hBOOL(hAPP(hAPP(c_lessequals(X1),X2),hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(X1),X2),X3)))|~class_Lattices_Oupper__semilattice(X1))).
% 0.97/1.16 cnf(i_0_1126, plain, (X2=c_Orderings_Obot__class_Obot(tc_fun(X1,tc_bool))|hBOOL(hAPP(hAPP(c_lessequals(X1),c_Finite__Set_Olattice__class_OInf__fin(X2,X1)),c_Finite__Set_Olattice__class_OSup__fin(X2,X1)))|~class_Lattices_Olattice(X1)|~c_Finite__Set_Ofinite(X2,X1))).
% 0.97/1.16 cnf(i_0_1315, plain, (c_Finite__Set_Ofinite(hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(X1,tc_bool)),X2),X3),X1)|~c_Finite__Set_Ofinite(X3,X1))).
% 0.97/1.16 cnf(i_0_1316, plain, (c_Finite__Set_Ofinite(hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(X1,tc_bool)),X2),X3),X1)|~c_Finite__Set_Ofinite(X2,X1))).
% 0.97/1.16 cnf(i_0_1428, plain, (c_List_Oappend(c_List_Oappend(X1,X2,X4),X3,X4)=c_List_Oappend(X1,c_List_Oappend(X2,X3,X4),X4))).
% 0.97/1.16 cnf(i_0_1430, plain, (c_List_Oappend(c_List_Oappend(X1,X2,X4),X3,X4)=c_List_Oappend(X1,c_List_Oappend(X2,X3,X4),X4))).
% 0.97/1.16 cnf(i_0_1427, plain, (c_List_Oappend(c_List_Oappend(X1,X2,X3),X4,X3)=c_List_Oappend(X1,c_List_Oappend(X2,X4,X3),X3))).
% 0.97/1.16 cnf(i_0_1429, plain, (c_List_Oappend(c_List_Oappend(X1,X2,X3),X4,X3)=c_List_Oappend(X1,c_List_Oappend(X2,X4,X3),X3))).
% 0.97/1.16 cnf(i_0_1404, plain, (hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(X1,tc_bool)),c_Orderings_Obot__class_Obot(tc_fun(X1,tc_bool))),c_Orderings_Obot__class_Obot(tc_fun(X1,tc_bool)))=c_Orderings_Obot__class_Obot(tc_fun(X1,tc_bool)))).
% 0.97/1.16 cnf(i_0_1463, plain, (hAPP(X1,X2)=X3|~hBOOL(hAPP(hAPP(hAPP(c_Type_Otyping,X1),c_Lambda_OdB_OVar(X2)),X3)))).
% 0.97/1.16 cnf(i_0_1101, plain, (X2=X3|hAPP(hAPP(c_Set_Oinsert(X1),X2),c_Orderings_Obot__class_Obot(tc_fun(X1,tc_bool)))!=hAPP(hAPP(c_Set_Oinsert(X1),X3),c_Orderings_Obot__class_Obot(tc_fun(X1,tc_bool))))).
% 0.97/1.16 cnf(i_0_1172, plain, (~hBOOL(hAPP(hAPP(c_in(X1),X2),c_Orderings_Obot__class_Obot(tc_fun(X1,tc_bool)))))).
% 0.97/1.16 cnf(i_0_1173, plain, (~hBOOL(hAPP(hAPP(c_in(X1),X2),c_Orderings_Obot__class_Obot(tc_fun(X1,tc_bool)))))).
% 0.97/1.16 cnf(i_0_1175, plain, (~hBOOL(hAPP(hAPP(c_in(X1),X2),c_Orderings_Obot__class_Obot(tc_fun(X1,tc_bool)))))).
% 0.97/1.16 cnf(i_0_1036, plain, (hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(X3,tc_bool)),c_List_Oset(X1,X3)),c_List_Oset(X2,X3))=c_List_Oset(c_List_Oappend(X1,X2,X3),X3))).
% 0.97/1.16 cnf(i_0_1432, plain, (~class_Orderings_Oorder(X1)|~hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(X1),X3),X2))|~hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(X1),X2),X3)))).
% 0.97/1.16 cnf(i_0_1435, plain, (~class_Orderings_Olinorder(X1)|~hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(X1),X3),X2))|~hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(X1),X2),X3)))).
% 0.97/1.16 cnf(i_0_1057, plain, (~class_Orderings_Olinorder(X1)|~hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(X1),X3),X2))|~hBOOL(hAPP(hAPP(c_lessequals(X1),X2),X3)))).
% 0.97/1.16 cnf(i_0_1055, plain, (~class_Orderings_Olinorder(X1)|~hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(X1),X2),X3))|~hBOOL(hAPP(hAPP(c_lessequals(X1),X3),X2)))).
% 0.97/1.16 cnf(i_0_1053, plain, (~class_Orderings_Olinorder(X1)|~hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(X1),X2),X2))|~hBOOL(hAPP(hAPP(c_lessequals(X1),X2),X2)))).
% 0.97/1.16 cnf(i_0_1437, plain, (~class_Orderings_Opreorder(X1)|~hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(X1),X3),X2))|~hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(X1),X2),X3)))).
% 0.97/1.16 cnf(i_0_1438, plain, (~class_Orderings_Opreorder(X1)|~hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(X1),X3),X2))|~hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(X1),X2),X3)))).
% 0.97/1.16 cnf(i_0_1059, plain, (~class_Orderings_Opreorder(X1)|~hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(X1),X3),X2))|~hBOOL(hAPP(hAPP(c_lessequals(X1),X2),X3)))).
% 0.97/1.16 cnf(i_0_1020, plain, (X2=X3|~class_Orderings_Oorder(X1)|~hBOOL(hAPP(hAPP(c_lessequals(X1),X3),X2))|~hBOOL(hAPP(hAPP(c_lessequals(X1),X2),X3)))).
% 0.97/1.16 cnf(i_0_1022, plain, (X2=X3|~class_Orderings_Oorder(X1)|~hBOOL(hAPP(hAPP(c_lessequals(X1),X3),X2))|~hBOOL(hAPP(hAPP(c_lessequals(X1),X2),X3)))).
% 0.97/1.16 cnf(i_0_1023, plain, (X2=X3|~class_Orderings_Oorder(X1)|~hBOOL(hAPP(hAPP(c_lessequals(X1),X3),X2))|~hBOOL(hAPP(hAPP(c_lessequals(X1),X2),X3)))).
% 0.97/1.16 cnf(i_0_819, plain, (c_Finite__Set_Ofinite(hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(X1,tc_bool)),X2),X3),X1)|~c_Finite__Set_Ofinite(X3,X1)|~c_Finite__Set_Ofinite(X2,X1))).
% 0.97/1.16 cnf(i_0_820, plain, (c_Finite__Set_Ofinite(hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(X1,tc_bool)),X2),X3),X1)|~c_Finite__Set_Ofinite(X3,X1)|~c_Finite__Set_Ofinite(X2,X1))).
% 0.97/1.16 cnf(i_0_1370, plain, (X1=X2|~c_Orderings_Oorder(X3,X4,X5)|~hBOOL(hAPP(hAPP(X3,X2),X1))|~hBOOL(hAPP(hAPP(X3,X1),X2)))).
% 0.97/1.16 cnf(i_0_1371, plain, (X1=X2|~c_Orderings_Oorder(X3,X4,X5)|~hBOOL(hAPP(hAPP(X3,X2),X1))|~hBOOL(hAPP(hAPP(X3,X1),X2)))).
% 0.97/1.16 cnf(i_0_1372, plain, (X1=X2|~c_Orderings_Oorder(X3,X4,X5)|~hBOOL(hAPP(hAPP(X3,X2),X1))|~hBOOL(hAPP(hAPP(X3,X1),X2)))).
% 0.97/1.16 cnf(i_0_1114, plain, (hAPP(c_Set_Oimage(hAPP(c_COMBK(X1,X2),X3),X2,X1),c_Orderings_Obot__class_Obot(tc_fun(X2,tc_bool)))=c_Orderings_Obot__class_Obot(tc_fun(X1,tc_bool)))).
% 0.97/1.16 cnf(i_0_1421, plain, (hBOOL(hAPP(hAPP(c_lessequals(X1),X2),hAPP(c_Complete__Lattice_OSup__class_OSup(X1),X3)))|~class_Complete__Lattice_Ocomplete__lattice(X1)|~hBOOL(hAPP(hAPP(c_in(X1),X2),X3)))).
% 0.97/1.16 cnf(i_0_1174, plain, (hBOOL(hAPP(X1,X2))|~hBOOL(hAPP(hAPP(c_in(X3),X2),c_Orderings_Obot__class_Obot(tc_fun(X3,tc_bool)))))).
% 0.97/1.16 cnf(i_0_901, plain, (hBOOL(hAPP(X1,X4))|c_List_Ofilter(X1,X2,X3)!=X2|~hBOOL(hAPP(hAPP(c_in(X3),X4),c_List_Oset(X2,X3))))).
% 0.97/1.16 cnf(i_0_1445, plain, (c_Lambda_Obeta(hAPP(hAPP(hAPP(c_Lambda_Osubst,X1),X2),X3),hAPP(hAPP(hAPP(c_Lambda_Osubst,X4),X2),X3))|~c_Lambda_Obeta(X1,X4))).
% 0.97/1.16 cnf(i_0_1104, plain, (~hBOOL(hAPP(X1,X2))|~hBOOL(hAPP(hAPP(c_in(X3),X2),c_Orderings_Obot__class_Obot(tc_fun(X3,tc_bool)))))).
% 0.97/1.16 cnf(i_0_1123, plain, (X3=X4|hBOOL(hAPP(hAPP(c_in(X1),X2),X4))|hBOOL(hAPP(hAPP(c_in(X1),X2),X3))|hAPP(hAPP(c_Set_Oinsert(X1),X2),X3)!=hAPP(hAPP(c_Set_Oinsert(X1),X2),X4))).
% 0.97/1.16 cnf(i_0_925, plain, (X3=c_Orderings_Obot__class_Obot(tc_fun(X1,tc_bool))|hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(X1,tc_fun(X2,tc_bool)),X3),hAPP(c_COMBK(tc_fun(X2,tc_bool),X1),X4))=X4)).
% 0.97/1.16 cnf(i_0_1119, plain, (X3=c_Orderings_Obot__class_Obot(tc_fun(X1,tc_bool))|hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(X1,tc_fun(X2,tc_bool)),X3),hAPP(c_COMBK(tc_fun(X2,tc_bool),X1),X4))=X4)).
% 0.97/1.16 cnf(i_0_1001, plain, (hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(X1),X2),X3))|hBOOL(hAPP(hAPP(c_lessequals(X1),X3),X2))|~class_Orderings_Opreorder(X1)|~hBOOL(hAPP(hAPP(c_lessequals(X1),X2),X3)))).
% 0.97/1.16 cnf(i_0_1169, plain, (c_List_Ofilter(X1,X2,X3)!=c_List_Olist_ONil(X3)|~hBOOL(hAPP(X1,X4))|~hBOOL(hAPP(hAPP(c_in(X3),X4),c_List_Oset(X2,X3))))).
% 0.97/1.16 cnf(i_0_821, plain, (X3=c_List_Olist_ONil(X4)|c_List_Omap(X2,X3,X4,X1)!=c_List_Olist_ONil(X1))).
% 0.97/1.16 cnf(i_0_1401, plain, (X2=c_List_Olist_ONil(X3)|c_List_Omap(X1,X2,X3,X4)!=c_List_Olist_ONil(X4))).
% 0.97/1.16 cnf(i_0_852, plain, (X2=X3|hBOOL(hAPP(X1,X2))|~hBOOL(hAPP(hAPP(hAPP(c_Set_Oinsert(X4),X3),X1),X2)))).
% 0.97/1.16 cnf(i_0_1476, plain, (hAPP(hAPP(hAPP(hAPP(c_Type_Oshift(X1),X2),X3),X4),X5)=hAPP(X2,X5)|~hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(tc_nat),X5),X3)))).
% 0.97/1.16 cnf(i_0_986, plain, (X4=c_Orderings_Obot__class_Obot(tc_fun(X2,tc_bool))|hAPP(c_Set_Oimage(hAPP(c_COMBK(X1,X2),X3),X2,X1),X4)=hAPP(hAPP(c_Set_Oinsert(X1),X3),c_Orderings_Obot__class_Obot(tc_fun(X1,tc_bool))))).
% 0.97/1.16 cnf(i_0_1425, plain, (hAPP(hAPP(c_HOL_Otimes__class_Otimes(X1),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X1),X2),X3)),X4)=hAPP(hAPP(c_HOL_Otimes__class_Otimes(X1),X2),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X1),X3),X4))|~class_Ring__and__Field_Ocomm__semiring__1(X1))).
% 0.97/1.16 cnf(i_0_1431, plain, (hAPP(hAPP(c_HOL_Otimes__class_Otimes(X1),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X1),X2),X3)),X4)=hAPP(hAPP(c_HOL_Otimes__class_Otimes(X1),X2),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X1),X3),X4))|~class_Ring__and__Field_Ocomm__semiring__1(X1))).
% 0.97/1.16 cnf(i_0_949, plain, (hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(X1),hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(X1),X2),X3)),X4)=hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(X1),X2),hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(X1),X3),X4))|~class_Lattices_Olattice(X1))).
% 0.97/1.16 cnf(i_0_952, plain, (hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(X1),hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(X1),X2),X3)),X4)=hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(X1),X2),hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(X1),X3),X4))|~class_Lattices_Olower__semilattice(X1))).
% 0.97/1.16 cnf(i_0_1076, plain, (hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(X1),hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(X1),X2),X3)),X4)=hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(X1),X2),hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(X1),X3),X4))|~class_Lattices_Olattice(X1))).
% 0.97/1.16 cnf(i_0_1073, plain, (hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(X1),hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(X1),X2),X3)),X4)=hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(X1),X2),hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(X1),X3),X4))|~class_Lattices_Oupper__semilattice(X1))).
% 0.97/1.16 cnf(i_0_1424, plain, (hAPP(hAPP(c_HOL_Otimes__class_Otimes(X1),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X1),X2),X3)),X4)=hAPP(hAPP(c_HOL_Otimes__class_Otimes(X1),X2),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X1),X3),X4))|~class_Ring__and__Field_Ocomm__semiring__1(X1))).
% 0.97/1.16 cnf(i_0_1422, plain, (hAPP(hAPP(c_HOL_Otimes__class_Otimes(X1),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X1),X2),X3)),X4)=hAPP(hAPP(c_HOL_Otimes__class_Otimes(X1),X2),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X1),X3),X4))|~class_OrderedGroup_Oab__semigroup__mult(X1))).
% 0.97/1.16 cnf(i_0_1344, plain, (hAPP(hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(t_a,X1)),X2),X3),v_x)=hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(X1),hAPP(X2,v_x)),hAPP(X3,v_x))|~class_Lattices_Olattice(X1))).
% 0.97/1.16 cnf(i_0_919, plain, (hAPP(hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(t_a,X1)),X2),X3),v_x)=hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(X1),hAPP(X2,v_x)),hAPP(X3,v_x))|~class_Lattices_Olattice(X1))).
% 0.97/1.16 cnf(i_0_1314, plain, (c_List_Oappend(c_List_Ofilter(X1,X2,X4),c_List_Ofilter(X1,X3,X4),X4)=c_List_Ofilter(X1,c_List_Oappend(X2,X3,X4),X4))).
% 0.97/1.16 cnf(i_0_1166, plain, (hBOOL(hAPP(hAPP(c_lessequals(X1),hAPP(c_Complete__Lattice_OInf__class_OInf(X1),X2)),X3))|~class_Complete__Lattice_Ocomplete__lattice(X1)|~hBOOL(hAPP(hAPP(c_in(X1),X3),X2)))).
% 0.97/1.16 cnf(i_0_935, plain, (hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(X1),X2),X3))|~class_Orderings_Oorder(X1)|~hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(X1),X4),X3))|~hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(X1),X2),X4)))).
% 0.97/1.16 cnf(i_0_1346, plain, (hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(X1),X2),X3))|~class_Orderings_Oorder(X1)|~hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(X1),X4),X3))|~hBOOL(hAPP(hAPP(c_lessequals(X1),X2),X4)))).
% 0.97/1.16 cnf(i_0_1347, plain, (hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(X1),X2),X3))|~class_Orderings_Oorder(X1)|~hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(X1),X2),X4))|~hBOOL(hAPP(hAPP(c_lessequals(X1),X4),X3)))).
% 0.97/1.16 cnf(i_0_934, plain, (hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(X1),X2),X3))|~class_Orderings_Opreorder(X1)|~hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(X1),X4),X3))|~hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(X1),X2),X4)))).
% 0.97/1.16 cnf(i_0_1351, plain, (hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(X1),X2),X3))|~class_Orderings_Opreorder(X1)|~hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(X1),X4),X3))|~hBOOL(hAPP(hAPP(c_lessequals(X1),X2),X4)))).
% 0.97/1.16 cnf(i_0_1352, plain, (hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(X1),X2),X3))|~class_Orderings_Opreorder(X1)|~hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(X1),X2),X4))|~hBOOL(hAPP(hAPP(c_lessequals(X1),X4),X3)))).
% 0.97/1.16 cnf(i_0_1345, plain, (hBOOL(hAPP(hAPP(c_lessequals(X1),X2),X3))|~class_Orderings_Oorder(X1)|~hBOOL(hAPP(hAPP(c_lessequals(X1),X4),X3))|~hBOOL(hAPP(hAPP(c_lessequals(X1),X2),X4)))).
% 0.97/1.16 cnf(i_0_1348, plain, (hBOOL(hAPP(hAPP(c_lessequals(X1),X2),X3))|~class_Orderings_Opreorder(X1)|~hBOOL(hAPP(hAPP(c_lessequals(X1),X4),X3))|~hBOOL(hAPP(hAPP(c_lessequals(X1),X2),X4)))).
% 0.97/1.16 cnf(i_0_989, plain, (hBOOL(hAPP(X1,X2))|~hBOOL(c_List_Olistsp(X1,X4,X3))|~hBOOL(hAPP(hAPP(c_in(X3),X2),c_List_Oset(X4,X3))))).
% 0.97/1.16 cnf(i_0_1506, plain, (hBOOL(hAPP(c_InductTermi_OIT,hAPP(hAPP(hAPP(c_Lambda_Osubst,X1),c_Lambda_OdB_OVar(X2)),X3)))|~hBOOL(hAPP(c_InductTermi_OIT,X1)))).
% 0.97/1.16 cnf(i_0_1462, plain, (hBOOL(hAPP(hAPP(hAPP(c_Type_Otyping,X1),X2),X3))|~c_Lambda_Obeta(X4,X2)|~hBOOL(hAPP(hAPP(hAPP(c_Type_Otyping,X1),X4),X3)))).
% 0.97/1.16 cnf(i_0_1359, plain, (hBOOL(hAPP(hAPP(c_in(X1),X2),hAPP(hAPP(c_Set_Oinsert(X1),X3),X4)))|~hBOOL(hAPP(hAPP(c_in(X1),X2),X4)))).
% 0.97/1.16 cnf(i_0_1360, plain, (hBOOL(hAPP(hAPP(c_in(X1),X2),hAPP(hAPP(c_Set_Oinsert(X1),X3),X4)))|~hBOOL(hAPP(hAPP(c_in(X1),X2),X4)))).
% 0.97/1.16 cnf(i_0_1223, plain, (hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(X1,tc_fun(X2,tc_bool)),X3),hAPP(c_COMBK(tc_fun(X2,tc_bool),X1),c_Orderings_Obot__class_Obot(tc_fun(X2,tc_bool))))=c_Orderings_Obot__class_Obot(tc_fun(X2,tc_bool)))).
% 0.97/1.16 cnf(i_0_1192, plain, (hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(X1,tc_fun(X2,tc_bool)),c_Orderings_Obot__class_Obot(tc_fun(X1,tc_bool))),hAPP(c_COMBK(tc_fun(X2,tc_bool),X1),X3))=c_Orderings_Otop__class_Otop(tc_fun(X2,tc_bool)))).
% 0.97/1.16 cnf(i_0_1133, plain, (hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(X1,tc_fun(X2,tc_bool)),c_Orderings_Obot__class_Obot(tc_fun(X1,tc_bool))),hAPP(c_COMBK(tc_fun(X2,tc_bool),X1),X3))=c_Orderings_Obot__class_Obot(tc_fun(X2,tc_bool)))).
% 0.97/1.16 cnf(i_0_965, plain, (c_Finite__Set_Ofinite(X1,X2)|~c_Finite__Set_Ofinite(hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(X2,tc_bool)),X3),X1),X2))).
% 0.97/1.16 cnf(i_0_964, plain, (c_Finite__Set_Ofinite(X1,X2)|~c_Finite__Set_Ofinite(hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(X2,tc_bool)),X1),X3),X2))).
% 0.97/1.16 cnf(i_0_1312, plain, (hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(X1),X2),hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(X1),X3),X4)))|~class_Lattices_Oupper__semilattice(X1)|~hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(X1),X2),X4)))).
% 0.97/1.16 cnf(i_0_1311, plain, (hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(X1),X2),hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(X1),X3),X4)))|~class_Lattices_Oupper__semilattice(X1)|~hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(X1),X2),X3)))).
% 0.97/1.16 cnf(i_0_1229, plain, (hBOOL(hAPP(hAPP(c_lessequals(X1),X2),hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(X1),X3),X4)))|~class_Lattices_Oupper__semilattice(X1)|~hBOOL(hAPP(hAPP(c_lessequals(X1),X2),X4)))).
% 0.97/1.16 cnf(i_0_1230, plain, (hBOOL(hAPP(hAPP(c_lessequals(X1),X2),hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(X1),X3),X4)))|~class_Lattices_Oupper__semilattice(X1)|~hBOOL(hAPP(hAPP(c_lessequals(X1),X2),X3)))).
% 0.97/1.16 cnf(i_0_1466, plain, (hBOOL(c_List_Olistsp(X1,X2,X3))|~hBOOL(hAPP(X1,c_List_Osko__List__Xin__listsp__conv__set__1__1(X1,X2,X3))))).
% 0.97/1.16 cnf(i_0_1124, plain, (hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(X1,tc_bool)),X2),hAPP(hAPP(c_Set_Oinsert(X1),X3),X4))=hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(X1,tc_bool)),X2),X4)|hBOOL(hAPP(hAPP(c_in(X1),X3),X2)))).
% 0.97/1.16 cnf(i_0_1066, plain, (hAPP(hAPP(c_Set_Oinsert(X1),X2),hAPP(hAPP(c_Set_Oinsert(X1),X3),c_Orderings_Obot__class_Obot(tc_fun(X1,tc_bool))))=hAPP(hAPP(c_Set_Oinsert(X1),X3),hAPP(hAPP(c_Set_Oinsert(X1),X2),c_Orderings_Obot__class_Obot(tc_fun(X1,tc_bool)))))).
% 0.97/1.16 cnf(i_0_939, plain, (X2=X3|hAPP(X1,X2)!=hAPP(X1,X3)|~c_Fun_Oinj__on(X1,c_Orderings_Otop__class_Otop(tc_fun(X4,tc_bool)),X4,X5))).
% 0.97/1.16 cnf(i_0_1381, plain, (hBOOL(hAPP(hAPP(c_in(X1),X2),hAPP(hAPP(c_Set_Oinsert(X1),X2),c_Orderings_Obot__class_Obot(tc_fun(X1,tc_bool))))))).
% 0.97/1.16 cnf(i_0_1423, plain, (hAPP(hAPP(c_HOL_Otimes__class_Otimes(X1),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X1),X2),X3)),X4)=hAPP(hAPP(c_HOL_Otimes__class_Otimes(X1),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X1),X2),X4)),X3)|~class_Ring__and__Field_Ocomm__semiring__1(X1))).
% 0.97/1.16 cnf(i_0_922, plain, (hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(X1),hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(X1),X2),X3)),hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(X1),X2),X4))=hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(X1),X2),hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(X1),X3),X4))|~class_Lattices_Odistrib__lattice(X1))).
% 0.97/1.16 cnf(i_0_1194, plain, (hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(X1),hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(X1),X2),X3)),hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(X1),X2),X4))=hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(X1),X2),hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(X1),X3),X4))|~class_Lattices_Odistrib__lattice(X1))).
% 0.97/1.16 cnf(i_0_1181, plain, (hBOOL(hAPP(hAPP(c_lessequals(X1),hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(X1),X2),X3)),X3))|~class_Lattices_Olattice(X1))).
% 0.97/1.16 cnf(i_0_1185, plain, (hBOOL(hAPP(hAPP(c_lessequals(X1),hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(X1),X2),X3)),X3))|~class_Lattices_Olower__semilattice(X1))).
% 0.97/1.16 cnf(i_0_1180, plain, (hBOOL(hAPP(hAPP(c_lessequals(X1),hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(X1),X2),X3)),X2))|~class_Lattices_Olattice(X1))).
% 0.97/1.16 cnf(i_0_1186, plain, (hBOOL(hAPP(hAPP(c_lessequals(X1),hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(X1),X2),X3)),X2))|~class_Lattices_Olower__semilattice(X1))).
% 0.97/1.16 cnf(i_0_1326, plain, (c_The(hAPP(hAPP(c_COMBC(X1,X1,tc_bool),c_fequal(X1)),X2),X1)=X2)).
% 0.97/1.16 cnf(i_0_1325, plain, (c_Hilbert__Choice_OEps(hAPP(hAPP(c_COMBC(X1,X1,tc_bool),c_fequal(X1)),X2),X1)=X2)).
% 0.97/1.16 cnf(i_0_858, plain, (c_Nat_Osize__class_Osize(c_List_Omap(X1,X2,X3,X4),tc_List_Olist(X4))=c_Nat_Osize__class_Osize(X2,tc_List_Olist(X3)))).
% 0.97/1.16 cnf(i_0_959, plain, (hAPP(X4,X5)=c_Orderings_Obot__class_Obot(tc_fun(X1,tc_bool))|hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(X2,tc_fun(X1,tc_bool)),X3),X4)!=c_Orderings_Obot__class_Obot(tc_fun(X1,tc_bool))|~hBOOL(hAPP(hAPP(c_in(X2),X5),X3)))).
% 0.97/1.16 cnf(i_0_979, plain, (hAPP(X4,X5)=c_Orderings_Otop__class_Otop(tc_fun(X1,tc_bool))|hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(X2,tc_fun(X1,tc_bool)),X3),X4)!=c_Orderings_Otop__class_Otop(tc_fun(X1,tc_bool))|~hBOOL(hAPP(hAPP(c_in(X2),X5),X3)))).
% 0.97/1.16 cnf(i_0_851, plain, (hAPP(X4,X5)=c_Orderings_Obot__class_Obot(tc_fun(X2,tc_bool))|hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(X1,tc_fun(X2,tc_bool)),X3),X4)!=c_Orderings_Obot__class_Obot(tc_fun(X2,tc_bool))|~hBOOL(hAPP(hAPP(c_in(X1),X5),X3)))).
% 0.97/1.16 cnf(i_0_1247, plain, (hAPP(X4,X5)=c_Orderings_Otop__class_Otop(tc_fun(X2,tc_bool))|hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(X1,tc_fun(X2,tc_bool)),X3),X4)!=c_Orderings_Otop__class_Otop(tc_fun(X2,tc_bool))|~hBOOL(hAPP(hAPP(c_in(X1),X5),X3)))).
% 0.97/1.16 cnf(i_0_909, plain, (hAPP(c_Set_Oimage(hAPP(c_COMBK(X1,X2),X3),X2,X1),X4)=hAPP(hAPP(c_Set_Oinsert(X1),X3),c_Orderings_Obot__class_Obot(tc_fun(X1,tc_bool)))|~hBOOL(hAPP(hAPP(c_in(X2),X5),X4)))).
% 0.97/1.16 cnf(i_0_1110, plain, (c_Orderings_Oorder(hAPP(c_COMBC(X1,X1,tc_bool),c_lessequals(X1)),hAPP(c_COMBC(X1,X1,tc_bool),c_HOL_Oord__class_Oless(X1)),X1)|~class_Orderings_Oorder(X1))).
% 0.97/1.16 cnf(i_0_1535, plain, (hAPP(hAPP(hAPP(c_COMBB(X1,X2,X3),X4),X5),X6)=hAPP(X4,hAPP(X5,X6)))).
% 0.97/1.16 cnf(i_0_1594, plain, (hAPP(hAPP(hAPP(c_COMBB(X1,X2,X3),X4),X5),X6)=hAPP(X4,hAPP(X5,X6)))).
% 0.97/1.16 cnf(i_0_1536, plain, (hAPP(hAPP(hAPP(c_COMBC(X1,X2,X3),X4),X5),X6)=hAPP(hAPP(X4,X6),X5))).
% 0.97/1.16 cnf(i_0_1593, plain, (hAPP(hAPP(hAPP(c_COMBC(X1,X2,X3),X4),X5),X6)=hAPP(hAPP(X4,X6),X5))).
% 0.97/1.16 cnf(i_0_850, plain, (hAPP(c_List_Onth(c_List_Oappend(X1,X2,X3),X3),X4)=hAPP(c_List_Onth(X1,X3),X4)|~hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(tc_nat),X4),c_Nat_Osize__class_Osize(X1,tc_List_Olist(X3)))))).
% 0.97/1.16 cnf(i_0_1179, plain, (hAPP(c_Set_Oimage(X1,X2,X3),hAPP(hAPP(c_Set_Oinsert(X2),X4),X5))=hAPP(hAPP(c_Set_Oinsert(X3),hAPP(X1,X4)),hAPP(c_Set_Oimage(X1,X2,X3),X5)))).
% 0.97/1.16 cnf(i_0_1201, plain, (hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(X1,tc_bool)),X2),hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(X1,tc_bool)),X2),X3))=hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(X1,tc_bool)),X2),X3))).
% 0.97/1.16 cnf(i_0_1264, plain, (hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(X1,tc_bool)),X2),hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(X1,tc_bool)),X2),X3))=hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(X1,tc_bool)),X2),X3))).
% 0.97/1.16 cnf(i_0_882, plain, (hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(X1,tc_bool)),X2),hAPP(hAPP(c_Set_Oinsert(X1),X3),X4))=hAPP(hAPP(c_Set_Oinsert(X1),X3),hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(X1,tc_bool)),X2),X4)))).
% 0.97/1.16 cnf(i_0_1537, plain, (hAPP(hAPP(hAPP(c_COMBS(X1,X2,X3),X4),X5),X6)=hAPP(hAPP(X4,X6),hAPP(X5,X6)))).
% 0.97/1.16 cnf(i_0_1592, plain, (hAPP(hAPP(hAPP(c_COMBS(X1,X2,X3),X4),X5),X6)=hAPP(hAPP(X4,X6),hAPP(X5,X6)))).
% 0.97/1.16 cnf(i_0_1284, plain, (hAPP(c_Complete__Lattice_OSup__class_OSup(X1),hAPP(hAPP(c_Set_Oinsert(X1),X2),hAPP(hAPP(c_Set_Oinsert(X1),X3),c_Orderings_Obot__class_Obot(tc_fun(X1,tc_bool)))))=hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(X1),X2),X3)|~class_Complete__Lattice_Ocomplete__lattice(X1))).
% 0.97/1.16 cnf(i_0_1317, plain, (hAPP(c_Complete__Lattice_OInf__class_OInf(X1),hAPP(hAPP(c_Set_Oinsert(X1),X2),hAPP(hAPP(c_Set_Oinsert(X1),X3),c_Orderings_Obot__class_Obot(tc_fun(X1,tc_bool)))))=hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(X1),X2),X3)|~class_Complete__Lattice_Ocomplete__lattice(X1))).
% 0.97/1.16 cnf(i_0_1010, plain, (X2=X4|hBOOL(hAPP(hAPP(c_in(X1),X2),X3))|~hBOOL(hAPP(hAPP(c_in(X1),X2),hAPP(hAPP(c_Set_Oinsert(X1),X4),X3))))).
% 0.97/1.16 cnf(i_0_1125, plain, (hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(X1,tc_bool)),hAPP(hAPP(c_Set_Oinsert(X1),X2),X3)),X4)=hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(X1,tc_bool)),X3),X4)|hBOOL(hAPP(hAPP(c_in(X1),X2),X4)))).
% 0.97/1.16 cnf(i_0_1138, plain, (hBOOL(hAPP(hAPP(c_lessequals(X1),X2),X3))|~class_Lattices_Olower__semilattice(X1)|~hBOOL(hAPP(hAPP(c_lessequals(X1),X2),hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(X1),X4),X3))))).
% 0.97/1.16 cnf(i_0_1242, plain, (hBOOL(hAPP(hAPP(c_lessequals(X1),X2),X3))|~class_Lattices_Olower__semilattice(X1)|~hBOOL(hAPP(hAPP(c_lessequals(X1),X2),hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(X1),X4),X3))))).
% 0.97/1.16 cnf(i_0_1137, plain, (hBOOL(hAPP(hAPP(c_lessequals(X1),X2),X3))|~class_Lattices_Olower__semilattice(X1)|~hBOOL(hAPP(hAPP(c_lessequals(X1),X2),hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(X1),X3),X4))))).
% 0.97/1.16 cnf(i_0_1241, plain, (hBOOL(hAPP(hAPP(c_lessequals(X1),X2),X3))|~class_Lattices_Olower__semilattice(X1)|~hBOOL(hAPP(hAPP(c_lessequals(X1),X2),hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(X1),X3),X4))))).
% 0.97/1.16 cnf(i_0_993, plain, (hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(X1,tc_bool)),X4),X3)!=c_Orderings_Obot__class_Obot(tc_fun(X1,tc_bool))|~hBOOL(hAPP(hAPP(c_in(X1),X2),X4))|~hBOOL(hAPP(hAPP(c_in(X1),X2),X3)))).
% 0.97/1.16 cnf(i_0_1262, plain, (hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(X1,tc_bool)),hAPP(hAPP(c_Set_Oinsert(X1),X2),c_Orderings_Obot__class_Obot(tc_fun(X1,tc_bool)))),X3)=hAPP(hAPP(c_Set_Oinsert(X1),X2),X3))).
% 0.97/1.16 cnf(i_0_1329, plain, (c_Orderings_Oorder(hAPP(c_COMBC(X1,X1,tc_bool),X2),hAPP(c_COMBC(X1,X1,tc_bool),X3),X1)|~c_Orderings_Oorder(X2,X3,X1))).
% 0.97/1.16 cnf(i_0_1434, plain, (hBOOL(hAPP(hAPP(c_Transitive__Closure_Ortranclp(X1,X2),X3),X4))|~hBOOL(hAPP(hAPP(X1,X5),X4))|~hBOOL(hAPP(hAPP(c_Transitive__Closure_Ortranclp(X1,X2),X3),X5)))).
% 0.97/1.16 cnf(i_0_1433, plain, (hBOOL(hAPP(hAPP(c_Transitive__Closure_Ortranclp(X1,X2),X3),X4))|~hBOOL(hAPP(hAPP(X1,X3),X5))|~hBOOL(hAPP(hAPP(c_Transitive__Closure_Ortranclp(X1,X2),X5),X4)))).
% 0.97/1.16 cnf(i_0_824, plain, (c_Finite__Set_Ofinite(hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(X1,tc_fun(X2,tc_bool)),X3),X4),X2)|~c_Finite__Set_Ofinite(hAPP(X4,X5),X2)|~hBOOL(hAPP(hAPP(c_in(X1),X5),X3)))).
% 0.97/1.16 cnf(i_0_844, plain, (hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(X2),hAPP(X3,X4)),hAPP(X3,X5)))|~class_Orderings_Oorder(X2)|~class_Orderings_Oorder(X1)|~hBOOL(c_Orderings_Oorder__class_Ostrict__mono(X3,X1,X2))|~hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(X1),X4),X5)))).
% 0.97/1.16 cnf(i_0_847, plain, (hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(X2),hAPP(X3,X4)),hAPP(X3,X5)))|~class_Orderings_Oorder(X2)|~class_Orderings_Olinorder(X1)|~hBOOL(c_Orderings_Oorder__class_Ostrict__mono(X3,X1,X2))|~hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(X1),X4),X5)))).
% 0.97/1.16 cnf(i_0_1263, plain, (hBOOL(hAPP(hAPP(c_lessequals(X2),hAPP(X3,X4)),hAPP(X3,X5)))|~class_Orderings_Oorder(X2)|~class_Orderings_Oorder(X1)|~hBOOL(c_Orderings_Oorder__class_Omono(X3,X1,X2))|~hBOOL(hAPP(hAPP(c_lessequals(X1),X4),X5)))).
% 0.97/1.16 cnf(i_0_849, plain, (hBOOL(hAPP(hAPP(c_lessequals(X2),hAPP(X3,X4)),hAPP(X3,X5)))|~class_Orderings_Oorder(X2)|~class_Orderings_Olinorder(X1)|~hBOOL(c_Orderings_Oorder__class_Ostrict__mono(X3,X1,X2))|~hBOOL(hAPP(hAPP(c_lessequals(X1),X4),X5)))).
% 0.97/1.16 cnf(i_0_1469, plain, (hBOOL(c_List_Olistsp(X1,X2,X3))|~hBOOL(c_List_Olistsp(X1,c_List_Oappend(X4,X2,X3),X3)))).
% 0.97/1.16 cnf(i_0_1470, plain, (hBOOL(c_List_Olistsp(X1,X2,X3))|~hBOOL(c_List_Olistsp(X1,c_List_Oappend(X2,X4,X3),X3)))).
% 0.97/1.16 cnf(i_0_923, plain, (hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(X1),hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(X1),X2),X4)),hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(X1),X3),X4))=hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(X1),hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(X1),X2),X3)),X4)|~class_Lattices_Odistrib__lattice(X1))).
% 0.97/1.16 cnf(i_0_1193, plain, (hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(X1),hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(X1),X2),X4)),hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(X1),X3),X4))=hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(X1),hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(X1),X2),X3)),X4)|~class_Lattices_Odistrib__lattice(X1))).
% 0.97/1.16 cnf(i_0_1122, plain, (hAPP(hAPP(c_Set_Oinsert(X1),hAPP(X2,X3)),hAPP(c_Set_Oimage(X2,X4,X1),X5))=hAPP(c_Set_Oimage(X2,X4,X1),X5)|~hBOOL(hAPP(hAPP(c_in(X4),X3),X5)))).
% 0.97/1.16 cnf(i_0_1367, plain, (hAPP(c_Collect(X1),hAPP(hAPP(c_COMBC(X1,X1,tc_bool),c_fequal(X1)),X2))=hAPP(hAPP(c_Set_Oinsert(X1),X2),c_Orderings_Obot__class_Obot(tc_fun(X1,tc_bool))))).
% 0.97/1.16 cnf(i_0_941, plain, (hBOOL(hAPP(hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(X1,tc_bool)),X2),X3),X4))|~hBOOL(hAPP(X3,X4)))).
% 0.97/1.16 cnf(i_0_942, plain, (hBOOL(hAPP(hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(X1,tc_bool)),X2),X3),X4))|~hBOOL(hAPP(X2,X4)))).
% 0.97/1.16 cnf(i_0_1276, plain, (c_List_Oset(c_List_Omap(X1,X2,X3,X4),X4)=hAPP(c_Set_Oimage(X1,X3,X4),c_List_Oset(X2,X3)))).
% 0.97/1.16 cnf(i_0_1182, plain, (hBOOL(hAPP(hAPP(c_lessequals(X1),X2),hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(X1),X3),X4)))|~class_Lattices_Olower__semilattice(X1)|~hBOOL(hAPP(hAPP(c_lessequals(X1),X2),X4))|~hBOOL(hAPP(hAPP(c_lessequals(X1),X2),X3)))).
% 0.97/1.16 cnf(i_0_1183, plain, (hBOOL(hAPP(hAPP(c_lessequals(X1),X2),hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(X1),X3),X4)))|~class_Lattices_Olower__semilattice(X1)|~hBOOL(hAPP(hAPP(c_lessequals(X1),X2),X4))|~hBOOL(hAPP(hAPP(c_lessequals(X1),X2),X3)))).
% 0.97/1.16 cnf(i_0_1184, plain, (hBOOL(hAPP(hAPP(c_lessequals(X1),X2),hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(X1),X3),X4)))|~class_Lattices_Olower__semilattice(X1)|~hBOOL(hAPP(hAPP(c_lessequals(X1),X2),X4))|~hBOOL(hAPP(hAPP(c_lessequals(X1),X2),X3)))).
% 0.97/1.16 cnf(i_0_1465, plain, (hBOOL(c_List_Olistsp(X1,c_List_Oappend(X2,X3,X4),X4))|~hBOOL(c_List_Olistsp(X1,X3,X4))|~hBOOL(c_List_Olistsp(X1,X2,X4)))).
% 0.97/1.16 cnf(i_0_883, plain, (hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(X1,tc_bool)),hAPP(hAPP(c_Set_Oinsert(X1),X2),X3)),X4)=hAPP(hAPP(c_Set_Oinsert(X1),X2),hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(X1,tc_bool)),X3),X4)))).
% 0.97/1.16 cnf(i_0_1029, plain, (hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(X1),hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(X1),X2),X3)),X4))|~class_Lattices_Olower__semilattice(X1)|~hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(X1),X3),X4)))).
% 0.97/1.16 cnf(i_0_1030, plain, (hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(X1),hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(X1),X2),X3)),X4))|~class_Lattices_Olower__semilattice(X1)|~hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(X1),X2),X4)))).
% 0.97/1.16 cnf(i_0_1240, plain, (hBOOL(hAPP(hAPP(c_lessequals(X1),hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(X1),X2),X3)),X4))|~class_Lattices_Olower__semilattice(X1)|~hBOOL(hAPP(hAPP(c_lessequals(X1),X3),X4)))).
% 0.97/1.16 cnf(i_0_1239, plain, (hBOOL(hAPP(hAPP(c_lessequals(X1),hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(X1),X2),X3)),X4))|~class_Lattices_Olower__semilattice(X1)|~hBOOL(hAPP(hAPP(c_lessequals(X1),X2),X4)))).
% 0.97/1.16 cnf(i_0_1399, plain, (hBOOL(hAPP(hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(X1,tc_bool)),X2),X3),X4))|~hBOOL(hAPP(X3,X4))|~hBOOL(hAPP(X2,X4)))).
% 0.97/1.16 cnf(i_0_887, plain, (hBOOL(c_List_Olistsp(X1,X2,X3))|hBOOL(hAPP(hAPP(c_in(X3),c_List_Osko__List__Xin__listsp__conv__set__1__1(X1,X2,X3)),c_List_Oset(X2,X3))))).
% 0.97/1.16 cnf(i_0_846, plain, (hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(X1),X3),X4))|~class_Orderings_Oorder(X2)|~class_Orderings_Olinorder(X1)|~hBOOL(c_Orderings_Oorder__class_Ostrict__mono(X5,X1,X2))|~hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(X2),hAPP(X5,X3)),hAPP(X5,X4))))).
% 0.97/1.16 cnf(i_0_848, plain, (hBOOL(hAPP(hAPP(c_lessequals(X1),X3),X4))|~class_Orderings_Oorder(X2)|~class_Orderings_Olinorder(X1)|~hBOOL(c_Orderings_Oorder__class_Ostrict__mono(X5,X1,X2))|~hBOOL(hAPP(hAPP(c_lessequals(X2),hAPP(X5,X3)),hAPP(X5,X4))))).
% 0.97/1.16 cnf(i_0_814, plain, (hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(X1,tc_bool)),X2),hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(X3,tc_fun(X1,tc_bool)),c_Orderings_Obot__class_Obot(tc_fun(X3,tc_bool))),X4))=X2)).
% 0.97/1.16 cnf(i_0_973, plain, (hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(X1,tc_bool)),X2),hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(X3,tc_fun(X1,tc_bool)),c_Orderings_Obot__class_Obot(tc_fun(X3,tc_bool))),X4))=X2)).
% 0.97/1.16 cnf(i_0_1369, plain, (hBOOL(hAPP(c_Orderings_Oorder_Omono(X2,X3,X1),X4))|~class_Orderings_Oorder(X1)|~c_Orderings_Oorder(X2,X5,X3)|~hBOOL(hAPP(c_Orderings_Oorder_Ostrict__mono(X5,X3,X1),X4)))).
% 0.97/1.16 cnf(i_0_1420, plain, (hAPP(c_Collect(X1),hAPP(hAPP(c_COMBC(X1,tc_fun(X1,tc_bool),tc_bool),c_in(X1)),X2))=X2)).
% 0.97/1.16 cnf(i_0_982, plain, (hAPP(hAPP(c_HOL_Otimes__class_Otimes(X1),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X1),X2),X3)),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X1),X4),X5))=hAPP(hAPP(c_HOL_Otimes__class_Otimes(X1),X2),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X1),X3),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X1),X4),X5)))|~class_Ring__and__Field_Ocomm__semiring__1(X1))).
% 0.97/1.16 cnf(i_0_981, plain, (hAPP(hAPP(c_HOL_Otimes__class_Otimes(X1),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X1),X2),X3)),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X1),X4),X5))=hAPP(hAPP(c_HOL_Otimes__class_Otimes(X1),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X1),X2),X4)),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X1),X3),X5))|~class_Ring__and__Field_Ocomm__semiring__1(X1))).
% 0.97/1.16 cnf(i_0_863, plain, (hAPP(c_split(X1,X2,X3,X4),hAPP(hAPP(c_Pair(X2,X3),X5),X6))=hAPP(hAPP(X1,X5),X6))).
% 0.97/1.16 cnf(i_0_864, plain, (hAPP(c_split(X1,X2,X3,X4),hAPP(hAPP(c_Pair(X2,X3),X5),X6))=hAPP(hAPP(X1,X5),X6))).
% 0.97/1.16 cnf(i_0_1188, plain, (hAPP(hAPP(c_Set_Oinsert(X1),X2),hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(X3,tc_fun(X1,tc_bool)),c_Orderings_Obot__class_Obot(tc_fun(X3,tc_bool))),X4))=hAPP(hAPP(c_Set_Oinsert(X1),X2),c_Orderings_Obot__class_Obot(tc_fun(X1,tc_bool))))).
% 0.97/1.16 cnf(i_0_907, plain, (hBOOL(hAPP(hAPP(c_in(X3),hAPP(c_List_Onth(X2,X3),X1)),c_List_Oset(X2,X3)))|~hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(tc_nat),X1),c_Nat_Osize__class_Osize(X2,tc_List_Olist(X3)))))).
% 0.97/1.16 cnf(i_0_908, plain, (hBOOL(hAPP(hAPP(c_in(X1),hAPP(c_List_Onth(X2,X1),X3)),c_List_Oset(X2,X1)))|~hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(tc_nat),X3),c_Nat_Osize__class_Osize(X2,tc_List_Olist(X1)))))).
% 0.97/1.16 cnf(i_0_904, plain, (hBOOL(hAPP(hAPP(c_lessequals(X1),hAPP(X2,X3)),hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(X4,X1),X5),X2)))|~class_Complete__Lattice_Ocomplete__lattice(X1)|~hBOOL(hAPP(hAPP(c_in(X4),X3),X5)))).
% 0.97/1.16 cnf(i_0_1177, plain, (hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(X1,tc_bool)),X2),hAPP(hAPP(c_Set_Oinsert(X1),X3),X4))=hAPP(hAPP(c_Set_Oinsert(X1),X3),hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(X1,tc_bool)),X2),X4))|~hBOOL(hAPP(hAPP(c_in(X1),X3),X2)))).
% 0.97/1.16 cnf(i_0_888, plain, (hBOOL(hAPP(hAPP(c_Transitive__Closure_Ortranclp(X1,X2),X3),X4))|~hBOOL(hAPP(hAPP(c_Transitive__Closure_Ortranclp(X1,X2),X5),X4))|~hBOOL(hAPP(hAPP(c_Transitive__Closure_Ortranclp(X1,X2),X3),X5)))).
% 0.97/1.16 cnf(i_0_1079, plain, (X2=X3|hAPP(X1,X2)!=hAPP(X1,X3)|~c_Fun_Oinj__on(X1,X5,X4,X6)|~hBOOL(hAPP(hAPP(c_in(X4),X3),X5))|~hBOOL(hAPP(hAPP(c_in(X4),X2),X5)))).
% 0.97/1.16 cnf(i_0_1080, plain, (X2=X3|hAPP(X1,X2)!=hAPP(X1,X3)|~c_Fun_Oinj__on(X1,X5,X4,X6)|~hBOOL(hAPP(hAPP(c_in(X4),X3),X5))|~hBOOL(hAPP(hAPP(c_in(X4),X2),X5)))).
% 0.97/1.16 cnf(i_0_1081, plain, (X2=X3|hAPP(X1,X2)!=hAPP(X1,X3)|~c_Fun_Oinj__on(X1,X5,X4,X6)|~hBOOL(hAPP(hAPP(c_in(X4),X3),X5))|~hBOOL(hAPP(hAPP(c_in(X4),X2),X5)))).
% 0.97/1.16 cnf(i_0_1082, plain, (X2=X3|hAPP(X1,X2)!=hAPP(X1,X3)|~c_Fun_Oinj__on(X1,X4,X5,X6)|~hBOOL(hAPP(hAPP(c_in(X5),X3),X4))|~hBOOL(hAPP(hAPP(c_in(X5),X2),X4)))).
% 0.97/1.16 cnf(i_0_859, plain, (hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(X1,tc_bool)),hAPP(hAPP(c_Set_Oinsert(X1),X2),X3)),hAPP(hAPP(c_Set_Oinsert(X1),X2),X4))=hAPP(hAPP(c_Set_Oinsert(X1),X2),hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(X1,tc_bool)),X3),X4)))).
% 0.97/1.16 cnf(i_0_906, plain, (c_Fun_Oinj__on(X1,X2,X3,X4)|~c_Fun_Oinj__on(X1,hAPP(hAPP(c_Set_Oinsert(X3),X5),X2),X3,X4))).
% 0.97/1.16 cnf(i_0_1403, plain, (c_Finite__Set_Ofinite(X1,X2)|~c_Fun_Oinj__on(X3,X1,X2,X4)|~c_Finite__Set_Ofinite(hAPP(c_Set_Oimage(X3,X2,X4),X1),X4))).
% 0.97/1.16 cnf(i_0_1286, plain, (hAPP(X1,c_Fun_Oid(X2))=c_Fun_Oid(X3)|~hBOOL(c_Record_Oiso__tuple__update__accessor__cong__assist(X1,X4,X2,X3)))).
% 0.97/1.16 cnf(i_0_1154, plain, (X3=X5|X3=X4|hAPP(hAPP(c_Set_Oinsert(X1),X2),hAPP(hAPP(c_Set_Oinsert(X1),X3),c_Orderings_Obot__class_Obot(tc_fun(X1,tc_bool))))!=hAPP(hAPP(c_Set_Oinsert(X1),X4),hAPP(hAPP(c_Set_Oinsert(X1),X5),c_Orderings_Obot__class_Obot(tc_fun(X1,tc_bool)))))).
% 0.97/1.16 cnf(i_0_1153, plain, (X3=X5|X2=X5|hAPP(hAPP(c_Set_Oinsert(X1),X2),hAPP(hAPP(c_Set_Oinsert(X1),X3),c_Orderings_Obot__class_Obot(tc_fun(X1,tc_bool))))!=hAPP(hAPP(c_Set_Oinsert(X1),X4),hAPP(hAPP(c_Set_Oinsert(X1),X5),c_Orderings_Obot__class_Obot(tc_fun(X1,tc_bool)))))).
% 0.97/1.16 cnf(i_0_1152, plain, (X3=X4|X2=X4|hAPP(hAPP(c_Set_Oinsert(X1),X2),hAPP(hAPP(c_Set_Oinsert(X1),X3),c_Orderings_Obot__class_Obot(tc_fun(X1,tc_bool))))!=hAPP(hAPP(c_Set_Oinsert(X1),X4),hAPP(hAPP(c_Set_Oinsert(X1),X5),c_Orderings_Obot__class_Obot(tc_fun(X1,tc_bool)))))).
% 0.97/1.16 cnf(i_0_1151, plain, (X2=X5|X2=X4|hAPP(hAPP(c_Set_Oinsert(X1),X2),hAPP(hAPP(c_Set_Oinsert(X1),X3),c_Orderings_Obot__class_Obot(tc_fun(X1,tc_bool))))!=hAPP(hAPP(c_Set_Oinsert(X1),X4),hAPP(hAPP(c_Set_Oinsert(X1),X5),c_Orderings_Obot__class_Obot(tc_fun(X1,tc_bool)))))).
% 0.97/1.16 cnf(i_0_915, plain, (X1=X2|~hBOOL(hAPP(hAPP(c_in(X3),X1),hAPP(hAPP(c_Set_Oinsert(X3),X2),c_Orderings_Obot__class_Obot(tc_fun(X3,tc_bool))))))).
% 0.97/1.16 cnf(i_0_962, plain, (c_Nat_Osize__class_Osize(X2,tc_List_Olist(X3))=c_Nat_Osize__class_Osize(X5,tc_List_Olist(X3))|c_List_Omap(X1,X2,X3,X4)!=c_List_Omap(X1,X5,X3,X4))).
% 0.97/1.16 cnf(i_0_853, plain, (c_Finite__Set_Ofinite(hAPP(X1,X2),X3)|~c_Finite__Set_Ofinite(X5,X4)|~hBOOL(hAPP(hAPP(c_in(X4),X2),X5))|~c_Finite__Set_Ofinite(hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(X4,tc_fun(X3,tc_bool)),X5),X1),X3))).
% 0.97/1.16 cnf(i_0_988, plain, (hAPP(hAPP(c_Finite__Set_Osetsum(X1,X1),c_Fun_Oid(X1)),hAPP(c_Set_Oimage(X3,X2,X1),X4))=hAPP(hAPP(c_Finite__Set_Osetsum(X2,X1),X3),X4)|~class_OrderedGroup_Ocomm__monoid__add(X1)|~c_Fun_Oinj__on(X3,X4,X2,X1))).
% 0.97/1.16 cnf(i_0_1163, plain, (hAPP(hAPP(X1,c_Fun_Oid(X2)),X3)=X3|~hBOOL(c_Record_Oiso__tuple__update__accessor__cong__assist(X1,X4,X2,X5)))).
% 0.97/1.16 cnf(i_0_1220, plain, (hBOOL(hAPP(hAPP(c_in(X1),X2),hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(X1,tc_bool)),X3),X4)))|~hBOOL(hAPP(hAPP(c_in(X1),X2),X4)))).
% 0.97/1.16 cnf(i_0_1221, plain, (hBOOL(hAPP(hAPP(c_in(X1),X2),hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(X1,tc_bool)),X3),X4)))|~hBOOL(hAPP(hAPP(c_in(X1),X2),X3)))).
% 0.97/1.16 cnf(i_0_975, plain, (X4=X5|hAPP(c_Set_Oimage(X1,X2,X3),X4)!=hAPP(c_Set_Oimage(X1,X2,X3),X5)|~c_Fun_Oinj__on(X1,c_Orderings_Otop__class_Otop(tc_fun(X2,tc_bool)),X2,X3))).
% 0.97/1.16 cnf(i_0_1176, plain, (hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(X1,tc_bool)),hAPP(hAPP(c_Set_Oinsert(X1),X2),X3)),X4)=hAPP(hAPP(c_Set_Oinsert(X1),X2),hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(X1,tc_bool)),X3),X4))|~hBOOL(hAPP(hAPP(c_in(X1),X2),X4)))).
% 0.97/1.16 cnf(i_0_1305, plain, (hBOOL(hAPP(hAPP(c_in(X4),hAPP(X5,X2)),hAPP(c_Set_Oimage(X5,X1,X4),X3)))|~hBOOL(hAPP(hAPP(c_in(X1),X2),X3)))).
% 0.97/1.16 cnf(i_0_1306, plain, (hBOOL(hAPP(hAPP(c_in(X4),hAPP(X5,X2)),hAPP(c_Set_Oimage(X5,X1,X4),X3)))|~hBOOL(hAPP(hAPP(c_in(X1),X2),X3)))).
% 0.97/1.16 cnf(i_0_1307, plain, (hBOOL(hAPP(hAPP(c_in(X1),hAPP(X2,X3)),hAPP(c_Set_Oimage(X2,X4,X1),X5)))|~hBOOL(hAPP(hAPP(c_in(X4),X3),X5)))).
% 0.97/1.16 cnf(i_0_1308, plain, (hBOOL(hAPP(hAPP(c_in(X1),hAPP(X2,X3)),hAPP(c_Set_Oimage(X2,X4,X1),X5)))|~hBOOL(hAPP(hAPP(c_in(X4),X3),X5)))).
% 0.97/1.16 cnf(i_0_954, plain, (hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(X1,tc_bool)),X2),hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(X1,tc_bool)),X3),X4))=hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(X1,tc_bool)),X3),hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(X1,tc_bool)),X2),X4)))).
% 0.97/1.16 cnf(i_0_1071, plain, (hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(X1,tc_bool)),X2),hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(X1,tc_bool)),X3),X4))=hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(X1,tc_bool)),X3),hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(X1,tc_bool)),X2),X4)))).
% 0.97/1.16 cnf(i_0_1089, plain, (hBOOL(hAPP(hAPP(c_lessequals(X1),hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(X1),X2),X3)),X4))|~class_Lattices_Oupper__semilattice(X1)|~hBOOL(hAPP(hAPP(c_lessequals(X1),X3),X4))|~hBOOL(hAPP(hAPP(c_lessequals(X1),X2),X4)))).
% 0.97/1.16 cnf(i_0_1092, plain, (hBOOL(hAPP(hAPP(c_lessequals(X1),hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(X1),X2),X3)),X4))|~class_Lattices_Oupper__semilattice(X1)|~hBOOL(hAPP(hAPP(c_lessequals(X1),X3),X4))|~hBOOL(hAPP(hAPP(c_lessequals(X1),X2),X4)))).
% 0.97/1.16 cnf(i_0_1093, plain, (hBOOL(hAPP(hAPP(c_lessequals(X1),hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(X1),X2),X3)),X4))|~class_Lattices_Oupper__semilattice(X1)|~hBOOL(hAPP(hAPP(c_lessequals(X1),X3),X4))|~hBOOL(hAPP(hAPP(c_lessequals(X1),X2),X4)))).
% 0.97/1.16 cnf(i_0_978, plain, (hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(X1),hAPP(X2,X3)),hAPP(X2,X4)))|~class_Orderings_Oorder(X1)|~c_Orderings_Oorder(X7,X5,X6)|~hBOOL(hAPP(hAPP(X5,X3),X4))|~hBOOL(hAPP(c_Orderings_Oorder_Ostrict__mono(X5,X6,X1),X2)))).
% 0.97/1.16 cnf(i_0_984, plain, (hBOOL(hAPP(hAPP(c_lessequals(X1),hAPP(X2,X3)),hAPP(X2,X4)))|~class_Orderings_Oorder(X1)|~c_Orderings_Oorder(X5,X7,X6)|~hBOOL(hAPP(hAPP(X5,X3),X4))|~hBOOL(hAPP(c_Orderings_Oorder_Omono(X5,X6,X1),X2)))).
% 0.97/1.16 cnf(i_0_1061, plain, (hBOOL(hAPP(hAPP(c_in(X1),hAPP(X2,X3)),hAPP(c_Set_Oimage(X2,X4,X1),c_Orderings_Otop__class_Otop(tc_fun(X4,tc_bool))))))).
% 0.97/1.16 cnf(i_0_1171, plain, (hAPP(hAPP(X4,X1),X3)=X3|hAPP(X1,hAPP(X2,X3))!=hAPP(X2,X3)|~hBOOL(c_Record_Oiso__tuple__update__accessor__cong__assist(X4,X2,X5,X6)))).
% 0.97/1.16 cnf(i_0_1386, plain, (hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(X1,tc_bool)),hAPP(X2,X3)),hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(X4,tc_fun(X1,tc_bool)),X5),X2))=hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(X4,tc_fun(X1,tc_bool)),X5),X2)|~hBOOL(hAPP(hAPP(c_in(X4),X3),X5)))).
% 0.97/1.16 cnf(i_0_812, plain, (hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(X1,tc_bool)),hAPP(X2,X3)),hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(X4,tc_fun(X1,tc_bool)),X5),X2))=hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(X4,tc_fun(X1,tc_bool)),X5),X2)|~hBOOL(hAPP(hAPP(c_in(X4),X3),X5)))).
% 0.97/1.16 cnf(i_0_1443, plain, (hAPP(hAPP(c_Lambda_OdB_OApp,hAPP(hAPP(hAPP(c_Lambda_Osubst,X1),X3),X4)),hAPP(hAPP(hAPP(c_Lambda_Osubst,X2),X3),X4))=hAPP(hAPP(hAPP(c_Lambda_Osubst,hAPP(hAPP(c_Lambda_OdB_OApp,X1),X2)),X3),X4))).
% 0.97/1.16 cnf(i_0_1227, plain, (hBOOL(hAPP(hAPP(c_lessequals(X1),X2),X3))|~class_Lattices_Oupper__semilattice(X1)|~hBOOL(hAPP(hAPP(c_lessequals(X1),hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(X1),X4),X2)),X3)))).
% 0.97/1.16 cnf(i_0_1231, plain, (hBOOL(hAPP(hAPP(c_lessequals(X1),X2),X3))|~class_Lattices_Oupper__semilattice(X1)|~hBOOL(hAPP(hAPP(c_lessequals(X1),hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(X1),X4),X2)),X3)))).
% 0.97/1.16 cnf(i_0_1228, plain, (hBOOL(hAPP(hAPP(c_lessequals(X1),X2),X3))|~class_Lattices_Oupper__semilattice(X1)|~hBOOL(hAPP(hAPP(c_lessequals(X1),hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(X1),X2),X4)),X3)))).
% 0.97/1.16 cnf(i_0_1232, plain, (hBOOL(hAPP(hAPP(c_lessequals(X1),X2),X3))|~class_Lattices_Oupper__semilattice(X1)|~hBOOL(hAPP(hAPP(c_lessequals(X1),hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(X1),X2),X4)),X3)))).
% 0.97/1.16 cnf(i_0_983, plain, (hAPP(hAPP(c_HOL_Otimes__class_Otimes(X1),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X1),X2),X3)),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X1),X4),X5))=hAPP(hAPP(c_HOL_Otimes__class_Otimes(X1),X4),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X1),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X1),X2),X3)),X5))|~class_Ring__and__Field_Ocomm__semiring__1(X1))).
% 0.97/1.16 cnf(i_0_1419, plain, (hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(X1,tc_fun(X2,tc_bool)),hAPP(hAPP(c_Set_Oinsert(X1),X3),X4)),X5)=hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(X2,tc_bool)),hAPP(X5,X3)),hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(X1,tc_fun(X2,tc_bool)),X4),X5)))).
% 0.97/1.16 cnf(i_0_1160, plain, (hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(X1,tc_fun(X2,tc_bool)),hAPP(hAPP(c_Set_Oinsert(X1),X3),X4)),X5)=hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(X2,tc_bool)),hAPP(X5,X3)),hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(X1,tc_fun(X2,tc_bool)),X4),X5)))).
% 0.97/1.16 cnf(i_0_1292, plain, (hBOOL(hAPP(X1,X2))|~hBOOL(hAPP(hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(X3,tc_bool)),X4),X1),X2)))).
% 0.97/1.16 cnf(i_0_1293, plain, (hBOOL(hAPP(X1,X2))|~hBOOL(hAPP(hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(X3,tc_bool)),X1),X4),X2)))).
% 0.97/1.16 cnf(i_0_1170, plain, (hAPP(hAPP(X5,X1),X3)=hAPP(hAPP(X5,X4),X3)|hAPP(X1,hAPP(X2,X3))!=hAPP(X4,hAPP(X2,X3))|~hBOOL(c_Record_Oiso__tuple__update__accessor__cong__assist(X5,X2,X6,X7)))).
% 0.97/1.16 cnf(i_0_940, plain, (hBOOL(hAPP(X3,X2))|hBOOL(hAPP(X1,X2))|~hBOOL(hAPP(hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(X4,tc_bool)),X3),X1),X2)))).
% 0.97/1.16 cnf(i_0_1395, plain, (hBOOL(hAPP(hAPP(c_in(X1),X2),hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(X1,tc_bool)),X3),X4)))|~hBOOL(hAPP(hAPP(c_in(X1),X2),X4))|~hBOOL(hAPP(hAPP(c_in(X1),X2),X3)))).
% 0.97/1.16 cnf(i_0_1396, plain, (hBOOL(hAPP(hAPP(c_in(X1),X2),hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(X1,tc_bool)),X3),X4)))|~hBOOL(hAPP(hAPP(c_in(X1),X2),X4))|~hBOOL(hAPP(hAPP(c_in(X1),X2),X3)))).
% 0.97/1.16 cnf(i_0_1467, plain, (hBOOL(c_List_Olistsp(hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(X1,tc_bool)),X2),X3),X4,X1))|~hBOOL(c_List_Olistsp(X3,X4,X1))|~hBOOL(c_List_Olistsp(X2,X4,X1)))).
% 0.97/1.16 cnf(i_0_1383, plain, (hBOOL(hAPP(hAPP(c_in(X1),X2),hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(X1,tc_bool)),X3),hAPP(c_Collect(X1),X4))))|~hBOOL(hAPP(X4,X2))|~hBOOL(hAPP(hAPP(c_in(X1),X2),X3)))).
% 0.97/1.16 cnf(i_0_1398, plain, (hAPP(X1,X6)=hAPP(X5,X6)|c_List_Omap(X1,X2,X3,X4)!=c_List_Omap(X5,X2,X3,X4)|~hBOOL(hAPP(hAPP(c_in(X3),X6),c_List_Oset(X2,X3))))).
% 0.97/1.16 cnf(i_0_1273, plain, (hBOOL(hAPP(hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(X1,tc_fun(X2,tc_bool)),X3),X4),X5))|~hBOOL(hAPP(hAPP(X4,X6),X5))|~hBOOL(hAPP(hAPP(c_in(X1),X6),X3)))).
% 0.97/1.16 cnf(i_0_1274, plain, (hBOOL(hAPP(hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(X1,tc_fun(X2,tc_bool)),X3),X4),X5))|~hBOOL(hAPP(hAPP(X4,X6),X5))|~hBOOL(hAPP(hAPP(c_in(X1),X6),X3)))).
% 0.97/1.16 cnf(i_0_966, plain, (hBOOL(hAPP(hAPP(c_lessequals(X1),hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(X2,X1),X3),X4)),hAPP(X4,X5)))|~class_Complete__Lattice_Ocomplete__lattice(X1)|~hBOOL(hAPP(hAPP(c_in(X2),X5),X3)))).
% 0.97/1.16 cnf(i_0_1297, plain, (c_Fun_Oinj__on(X1,X2,X3,X4)|~c_Fun_Oinj__on(X1,hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(X3,tc_bool)),X5),X2),X3,X4))).
% 0.97/1.16 cnf(i_0_1298, plain, (c_Fun_Oinj__on(X1,X2,X3,X4)|~c_Fun_Oinj__on(X1,hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(X3,tc_bool)),X2),X5),X3,X4))).
% 0.97/1.16 cnf(i_0_1143, plain, (hBOOL(hAPP(hAPP(hAPP(c_Type_Otyping,X1),hAPP(hAPP(c_Lambda_OdB_OApp,X2),X3)),X4))|~hBOOL(hAPP(hAPP(hAPP(c_Type_Otyping,X1),X3),X5))|~hBOOL(hAPP(hAPP(hAPP(c_Type_Otyping,X1),X2),c_Type_Otype_OFun(X5,X4))))).
% 0.97/1.16 cnf(i_0_1109, plain, (X2=X3|hAPP(hAPP(c_COMBC(X1,tc_fun(X1,tc_bool),tc_bool),c_in(X1)),X2)!=hAPP(hAPP(c_COMBC(X1,tc_fun(X1,tc_bool),tc_bool),c_in(X1)),X3))).
% 0.97/1.16 cnf(i_0_953, plain, (hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(X1,tc_bool)),hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(X1,tc_bool)),X2),X3)),X4)=hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(X1,tc_bool)),X2),hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(X1,tc_bool)),X3),X4)))).
% 0.97/1.16 cnf(i_0_1072, plain, (hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(X1,tc_bool)),hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(X1,tc_bool)),X2),X3)),X4)=hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(X1,tc_bool)),X2),hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(X1,tc_bool)),X3),X4)))).
% 0.97/1.16 cnf(i_0_1077, plain, (hBOOL(hAPP(hAPP(c_in(X1),X2),X3))|~hBOOL(hAPP(hAPP(c_in(X1),X2),hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(X1,tc_bool)),X4),X3))))).
% 0.97/1.16 cnf(i_0_1078, plain, (hBOOL(hAPP(hAPP(c_in(X1),X2),X3))|~hBOOL(hAPP(hAPP(c_in(X1),X2),hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(X1,tc_bool)),X3),X4))))).
% 0.97/1.16 cnf(i_0_1375, plain, (hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(X1,tc_fun(X1,tc_bool)),X2),hAPP(hAPP(c_COMBC(X1,tc_fun(X1,tc_bool),tc_fun(X1,tc_bool)),c_Set_Oinsert(X1)),c_Orderings_Obot__class_Obot(tc_fun(X1,tc_bool))))=X2)).
% 0.97/1.16 cnf(i_0_913, plain, (c_Finite__Set_Ofinite(hAPP(c_Collect(X1),hAPP(hAPP(c_COMBB(tc_bool,tc_bool,X1),c_Not),X2)),X1)|~c_Finite__Set_Ofinite(hAPP(c_Collect(X1),X2),X1)|~c_Finite__Set_Ofinite(c_Orderings_Otop__class_Otop(tc_fun(X1,tc_bool)),X1))).
% 0.97/1.16 cnf(i_0_945, plain, (c_List_Ofoldl(X1,X2,c_List_Olist_ONil(X3),X4,X3)=X2)).
% 0.97/1.16 cnf(i_0_843, plain, (X4=X5|hAPP(c_Set_Oimage(X1,X2,X3),X4)!=hAPP(c_Set_Oimage(X1,X2,X3),X5)|~c_Fun_Oinj__on(X1,hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(X2,tc_bool)),X4),X5),X2,X3))).
% 0.97/1.16 cnf(i_0_834, plain, (X2=X5|c_List_Omap(X1,X2,X3,X4)!=c_List_Omap(X1,X5,X3,X4)|~c_Fun_Oinj__on(X1,c_Orderings_Otop__class_Otop(tc_fun(X3,tc_bool)),X3,X4))).
% 0.97/1.16 cnf(i_0_835, plain, (X2=X5|c_List_Omap(X1,X2,X3,X4)!=c_List_Omap(X1,X5,X3,X4)|~c_Fun_Oinj__on(X1,c_Orderings_Otop__class_Otop(tc_fun(X3,tc_bool)),X3,X4))).
% 0.97/1.16 cnf(i_0_1127, plain, (hBOOL(hAPP(hAPP(c_in(X1),X2),hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(X3,tc_fun(X1,tc_bool)),X4),X5)))|~hBOOL(hAPP(hAPP(c_in(X3),X6),X4))|~hBOOL(hAPP(hAPP(c_in(X1),X2),hAPP(X5,X6))))).
% 0.97/1.16 cnf(i_0_1128, plain, (hBOOL(hAPP(hAPP(c_in(X1),X2),hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(X3,tc_fun(X1,tc_bool)),X4),X5)))|~hBOOL(hAPP(hAPP(c_in(X3),X6),X4))|~hBOOL(hAPP(hAPP(c_in(X1),X2),hAPP(X5,X6))))).
% 0.97/1.16 cnf(i_0_1417, plain, (hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(X3,tc_bool)),hAPP(c_Set_Oimage(X1,X2,X3),X4)),hAPP(c_Set_Oimage(X1,X2,X3),X5))=hAPP(c_Set_Oimage(X1,X2,X3),hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(X2,tc_bool)),X4),X5)))).
% 0.97/1.16 cnf(i_0_938, plain, (hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(X3,tc_bool)),hAPP(c_Relation_OImage(X1,X2,X3),X4)),hAPP(c_Relation_OImage(X1,X2,X3),X5))=hAPP(c_Relation_OImage(X1,X2,X3),hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(X2,tc_bool)),X4),X5)))).
% 0.97/1.16 cnf(i_0_881, plain, (hAPP(c_Complete__Lattice_OSup__class_OSup(X1),c_List_Oset(X2,X1))=c_List_Ofoldl(c_Lattices_Oupper__semilattice__class_Osup(X1),c_Orderings_Obot__class_Obot(X1),X2,X1,X1)|~class_Complete__Lattice_Ocomplete__lattice(X1))).
% 0.97/1.16 cnf(i_0_1136, plain, (hAPP(c_Complete__Lattice_OInf__class_OInf(X1),c_List_Oset(X2,X1))=c_List_Ofoldl(c_Lattices_Olower__semilattice__class_Oinf(X1),c_Orderings_Otop__class_Otop(X1),X2,X1,X1)|~class_Complete__Lattice_Ocomplete__lattice(X1))).
% 0.97/1.16 cnf(i_0_944, plain, (hBOOL(hAPP(hAPP(c_in(X1),X2),X4))|hBOOL(hAPP(hAPP(c_in(X1),X2),X3))|~hBOOL(hAPP(hAPP(c_in(X1),X2),hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(X1,tc_bool)),X4),X3))))).
% 0.97/1.16 cnf(i_0_813, plain, (hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(X1,tc_bool)),hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(X2,tc_fun(X1,tc_bool)),c_Orderings_Obot__class_Obot(tc_fun(X2,tc_bool))),X3)),X4)=X4)).
% 0.97/1.16 cnf(i_0_972, plain, (hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(X1,tc_bool)),hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(X2,tc_fun(X1,tc_bool)),c_Orderings_Obot__class_Obot(tc_fun(X2,tc_bool))),X3)),X4)=X4)).
% 0.97/1.16 cnf(i_0_811, plain, (hAPP(hAPP(X1,hAPP(c_COMBK(X2,X2),hAPP(X3,hAPP(X4,X5)))),X5)=hAPP(hAPP(X1,X3),X5)|~hBOOL(c_Record_Oiso__tuple__update__accessor__cong__assist(X1,X4,X2,X6)))).
% 0.97/1.16 cnf(i_0_828, plain, (hBOOL(hAPP(hAPP(c_in(X1),hAPP(X2,X3)),hAPP(c_Set_Oimage(X2,X4,X1),X5)))|~hBOOL(hAPP(hAPP(c_in(X4),X3),X5))|~c_Fun_Oinj__on(X2,c_Orderings_Otop__class_Otop(tc_fun(X4,tc_bool)),X4,X1))).
% 0.97/1.16 cnf(i_0_924, plain, (hBOOL(hAPP(X1,X2))|~hBOOL(hAPP(hAPP(c_in(X3),X2),hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(X3,tc_bool)),X4),hAPP(c_Collect(X3),X1)))))).
% 0.97/1.16 cnf(i_0_1178, plain, (hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(X1,tc_fun(X2,tc_bool)),c_Orderings_Obot__class_Obot(tc_fun(X1,tc_bool))),hAPP(hAPP(c_COMBB(tc_fun(X2,tc_bool),tc_fun(X2,tc_bool),X1),hAPP(c_Set_Oinsert(X2),X3)),X4))=c_Orderings_Obot__class_Obot(tc_fun(X2,tc_bool)))).
% 0.97/1.16 cnf(i_0_1277, plain, (hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(X1),X3),X2))|hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(X1),X2),X3))|~class_Ring__and__Field_Oordered__ring__strict(X1)|~hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(X1),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X1),X4),X3)),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X1),X4),X2))))).
% 0.97/1.16 cnf(i_0_1278, plain, (hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(X1),X3),X2))|hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(X1),X2),X3))|~class_Ring__and__Field_Oordered__ring__strict(X1)|~hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(X1),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X1),X3),X4)),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X1),X2),X4))))).
% 0.97/1.16 cnf(i_0_1148, plain, (hAPP(c_List_Onth(c_List_Omap(X1,X2,X3,X4),X4),X5)=hAPP(X1,hAPP(c_List_Onth(X2,X3),X5))|~hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(tc_nat),X5),c_Nat_Osize__class_Osize(X2,tc_List_Olist(X3)))))).
% 0.97/1.16 cnf(i_0_1012, plain, (c_List_Oappend(c_List_Omap(X1,X2,X4,X5),c_List_Omap(X1,X3,X4,X5),X5)=c_List_Omap(X1,c_List_Oappend(X2,X3,X4),X4,X5))).
% 0.97/1.16 cnf(i_0_1282, plain, (hBOOL(hAPP(hAPP(c_in(X1),X2),X3))|~hBOOL(hAPP(hAPP(c_in(X1),X2),hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(X1,tc_bool)),X3),hAPP(c_Collect(X1),X4)))))).
% 0.97/1.16 cnf(i_0_921, plain, (hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(X1,tc_bool)),hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(X1,tc_bool)),X2),X3)),hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(X1,tc_bool)),X2),X4))=hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(X1,tc_bool)),X2),hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(X1,tc_bool)),X3),X4)))).
% 0.97/1.16 cnf(i_0_1195, plain, (hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(X1,tc_bool)),hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(X1,tc_bool)),X2),X3)),hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(X1,tc_bool)),X2),X4))=hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(X1,tc_bool)),X2),hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(X1,tc_bool)),X3),X4)))).
% 0.97/1.16 cnf(i_0_1357, plain, (hBOOL(hAPP(hAPP(X4,X2),X5))|~hBOOL(hAPP(hAPP(c_in(X1),X2),X3))|~hBOOL(hAPP(hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(X1,tc_fun(X6,tc_bool)),X3),X4),X5)))).
% 0.97/1.16 cnf(i_0_1356, plain, (hBOOL(hAPP(hAPP(X1,X2),X3))|~hBOOL(hAPP(hAPP(c_in(X4),X2),X5))|~hBOOL(hAPP(hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(X4,tc_fun(X6,tc_bool)),X5),X1),X3)))).
% 0.97/1.16 cnf(i_0_1358, plain, (hBOOL(hAPP(hAPP(X1,X2),X3))|~hBOOL(hAPP(hAPP(c_in(X4),X2),X5))|~hBOOL(hAPP(hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(X4,tc_fun(X6,tc_bool)),X5),X1),X3)))).
% 0.97/1.16 cnf(i_0_1189, plain, (hBOOL(hAPP(X1,X4))|hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(tc_nat),c_Nat_Osize__class_Osize(c_List_Ofilter(X1,X2,X3),tc_List_Olist(X3))),c_Nat_Osize__class_Osize(X2,tc_List_Olist(X3))))|~hBOOL(hAPP(hAPP(c_in(X3),X4),c_List_Oset(X2,X3))))).
% 0.97/1.16 cnf(i_0_897, plain, (X1=X5|c_Product__Type_OSigma(X1,hAPP(c_COMBK(tc_fun(X2,tc_bool),X3),X4),X3,X2)!=c_Product__Type_OSigma(X5,hAPP(c_COMBK(tc_fun(X2,tc_bool),X3),X4),X3,X2)|~hBOOL(hAPP(hAPP(c_in(X2),X6),X4)))).
% 0.97/1.16 cnf(i_0_1322, plain, (hAPP(c_Set_Oimage(X1,X2,X3),hAPP(c_Set_Oimage(X4,X5,X2),X6))=hAPP(c_Set_Oimage(hAPP(hAPP(c_COMBB(X2,X3,X5),X1),X4),X5,X3),X6))).
% 0.97/1.16 cnf(i_0_804, plain, (hBOOL(hAPP(c_split(X1,X2,X3,tc_bool),hAPP(hAPP(c_Pair(X2,X3),X4),X5)))|~hBOOL(hAPP(hAPP(X1,X4),X5)))).
% 0.97/1.16 cnf(i_0_825, plain, (hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(X1,tc_fun(X2,tc_bool)),hAPP(c_Set_Oimage(X3,X4,X1),X5)),X6)=hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(X4,tc_fun(X2,tc_bool)),X5),hAPP(hAPP(c_COMBB(X1,tc_fun(X2,tc_bool),X4),X6),X3)))).
% 0.97/1.16 cnf(i_0_1363, plain, (hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(X1,tc_fun(X2,tc_bool)),hAPP(c_Set_Oimage(X3,X4,X1),X5)),X6)=hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(X4,tc_fun(X2,tc_bool)),X5),hAPP(hAPP(c_COMBB(X1,tc_fun(X2,tc_bool),X4),X6),X3)))).
% 0.97/1.16 cnf(i_0_1009, plain, (hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(X1,tc_fun(X2,tc_bool)),X3),hAPP(hAPP(c_COMBB(X4,tc_fun(X2,tc_bool),X1),X5),X6))=hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(X4,tc_fun(X2,tc_bool)),hAPP(c_Set_Oimage(X6,X1,X4),X3)),X5))).
% 0.97/1.16 cnf(i_0_957, plain, (hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(X1,tc_fun(X2,tc_bool)),X3),hAPP(hAPP(c_COMBB(X4,tc_fun(X2,tc_bool),X1),X5),X6))=hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(X4,tc_fun(X2,tc_bool)),hAPP(c_Set_Oimage(X6,X1,X4),X3)),X5))).
% 0.97/1.16 cnf(i_0_1532, plain, (hBOOL(c_List_Olistsp(hAPP(hAPP(c_COMBB(tc_fun(tc_Type_Otype,tc_bool),tc_bool,tc_Lambda_OdB),c_Ex(tc_Type_Otype)),hAPP(c_Type_Otyping,X1)),X2,tc_Lambda_OdB))|~c_Type_Otypings(X1,X2,X3))).
% 0.97/1.16 cnf(i_0_880, plain, (hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(X3,tc_fun(X1,tc_bool)),X4),hAPP(hAPP(c_COMBB(tc_fun(X1,tc_bool),tc_fun(X1,tc_bool),X3),hAPP(c_Set_Oinsert(X1),X2)),X5))=hAPP(hAPP(c_Set_Oinsert(X1),X2),hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(X3,tc_fun(X1,tc_bool)),X4),X5)))).
% 0.97/1.16 cnf(i_0_1190, plain, (hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(X1,tc_fun(X2,tc_bool)),X3),hAPP(hAPP(c_COMBB(tc_fun(X2,tc_bool),tc_fun(X2,tc_bool),X1),hAPP(c_Set_Oinsert(X2),X4)),X5))=hAPP(hAPP(c_Set_Oinsert(X2),X4),hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(X1,tc_fun(X2,tc_bool)),X3),X5)))).
% 0.97/1.16 cnf(i_0_806, plain, (hBOOL(hAPP(hAPP(c_in(X4),X5),hAPP(X6,X2)))|~hBOOL(hAPP(hAPP(c_in(X1),X2),X3))|~hBOOL(hAPP(hAPP(c_in(X4),X5),hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(X1,tc_fun(X4,tc_bool)),X3),X6))))).
% 0.97/1.16 cnf(i_0_805, plain, (hBOOL(hAPP(hAPP(c_in(X1),X2),hAPP(X3,X4)))|~hBOOL(hAPP(hAPP(c_in(X5),X4),X6))|~hBOOL(hAPP(hAPP(c_in(X1),X2),hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(X5,tc_fun(X1,tc_bool)),X6),X3))))).
% 0.97/1.16 cnf(i_0_807, plain, (hBOOL(hAPP(hAPP(c_in(X1),X2),hAPP(X3,X4)))|~hBOOL(hAPP(hAPP(c_in(X5),X4),X6))|~hBOOL(hAPP(hAPP(c_in(X1),X2),hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(X5,tc_fun(X1,tc_bool)),X6),X3))))).
% 0.97/1.16 cnf(i_0_943, plain, (hAPP(c_Set_Oimage(hAPP(hAPP(c_COMBB(X1,X2,X3),X4),X5),X3,X2),c_Orderings_Otop__class_Otop(tc_fun(X3,tc_bool)))=hAPP(c_Set_Oimage(X4,X1,X2),hAPP(c_Set_Oimage(X5,X3,X1),c_Orderings_Otop__class_Otop(tc_fun(X3,tc_bool)))))).
% 0.97/1.16 cnf(i_0_1069, plain, (hAPP(hAPP(c_Finite__Set_Osetsum(X3,X1),hAPP(hAPP(c_COMBB(X1,X1,X3),hAPP(c_HOL_Otimes__class_Otimes(X1),X2)),X4)),X5)=hAPP(hAPP(c_HOL_Otimes__class_Otimes(X1),X2),hAPP(hAPP(c_Finite__Set_Osetsum(X3,X1),X4),X5))|~class_Ring__and__Field_Osemiring__0(X1))).
% 0.97/1.16 cnf(i_0_870, plain, (X4=c_Orderings_Obot__class_Obot(tc_fun(X3,tc_bool))|hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(X3,tc_fun(X1,tc_bool)),X4),hAPP(hAPP(c_COMBB(tc_fun(X1,tc_bool),tc_fun(X1,tc_bool),X3),hAPP(c_Set_Oinsert(X1),X2)),X5))=hAPP(hAPP(c_Set_Oinsert(X1),X2),hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(X3,tc_fun(X1,tc_bool)),X4),X5)))).
% 0.97/1.16 cnf(i_0_831, plain, (X3=c_Orderings_Obot__class_Obot(tc_fun(X1,tc_bool))|hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(X1,tc_fun(X2,tc_bool)),X3),hAPP(hAPP(c_COMBB(tc_fun(X2,tc_bool),tc_fun(X2,tc_bool),X1),hAPP(c_Set_Oinsert(X2),X4)),X5))=hAPP(hAPP(c_Set_Oinsert(X2),X4),hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(X1,tc_fun(X2,tc_bool)),X3),X5)))).
% 0.97/1.16 cnf(i_0_827, plain, (hBOOL(hAPP(hAPP(c_in(X1),X2),X3))|~c_Fun_Oinj__on(X5,c_Orderings_Otop__class_Otop(tc_fun(X1,tc_bool)),X1,X4)|~hBOOL(hAPP(hAPP(c_in(X4),hAPP(X5,X2)),hAPP(c_Set_Oimage(X5,X1,X4),X3))))).
% 0.97/1.16 cnf(i_0_1100, plain, (hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(X1,tc_fun(X2,tc_bool)),c_Orderings_Obot__class_Obot(tc_fun(X1,tc_bool))),hAPP(hAPP(c_COMBB(tc_fun(X2,tc_bool),tc_fun(X2,tc_bool),X1),hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(X2,tc_bool)),X3)),X4))=c_Orderings_Otop__class_Otop(tc_fun(X2,tc_bool)))).
% 0.97/1.16 cnf(i_0_1046, plain, (hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(X1,tc_fun(X2,tc_bool)),c_Orderings_Obot__class_Obot(tc_fun(X1,tc_bool))),hAPP(hAPP(c_COMBB(tc_fun(X2,tc_bool),tc_fun(X2,tc_bool),X1),hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(X2,tc_bool)),X3)),X4))=c_Orderings_Obot__class_Obot(tc_fun(X2,tc_bool)))).
% 0.97/1.16 cnf(i_0_920, plain, (hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(X1,tc_bool)),hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(X1,tc_bool)),X2),X4)),hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(X1,tc_bool)),X3),X4))=hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(X1,tc_bool)),hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(X1,tc_bool)),X2),X3)),X4))).
% 0.97/1.16 cnf(i_0_1196, plain, (hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(X1,tc_bool)),hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(X1,tc_bool)),X2),X4)),hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(X1,tc_bool)),X3),X4))=hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(X1,tc_bool)),hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(X1,tc_bool)),X2),X3)),X4))).
% 0.97/1.16 cnf(i_0_1155, plain, (c_Lattices_Odistrib__lattice(hAPP(c_COMBC(X1,X1,tc_bool),c_lessequals(X1)),hAPP(c_COMBC(X1,X1,tc_bool),c_HOL_Oord__class_Oless(X1)),c_Lattices_Oupper__semilattice__class_Osup(X1),c_Lattices_Olower__semilattice__class_Oinf(X1),X1)|~class_Lattices_Odistrib__lattice(X1))).
% 0.97/1.16 cnf(i_0_914, plain, (c_Finite__Set_Ofinite(c_Orderings_Otop__class_Otop(tc_fun(X1,tc_bool)),X1)|~c_Finite__Set_Ofinite(hAPP(c_Collect(X1),X2),X1)|~c_Finite__Set_Ofinite(hAPP(c_Collect(X1),hAPP(hAPP(c_COMBB(tc_bool,tc_bool,X1),c_Not),X2)),X1))).
% 0.97/1.16 cnf(i_0_1414, plain, (hBOOL(hAPP(hAPP(c_lessequals(X2),hAPP(X3,hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(X1),X4),X5))),hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(X2),hAPP(X3,X4)),hAPP(X3,X5))))|~class_Lattices_Olower__semilattice(X2)|~class_Lattices_Olower__semilattice(X1)|~hBOOL(c_Orderings_Oorder__class_Omono(X3,X1,X2)))).
% 0.97/1.16 cnf(i_0_815, plain, (hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(X3,tc_bool)),hAPP(c_Set_Oimage(X1,X2,X3),X4)),hAPP(c_Set_Oimage(X1,X2,X3),X5))=hAPP(c_Set_Oimage(X1,X2,X3),hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(X2,tc_bool)),X4),X5))|~c_Fun_Oinj__on(X1,c_Orderings_Otop__class_Otop(tc_fun(X2,tc_bool)),X2,X3))).
% 0.97/1.16 cnf(i_0_1204, plain, (hBOOL(hAPP(hAPP(c_lessequals(X2),hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(X2),hAPP(X3,X4)),hAPP(X3,X5))),hAPP(X3,hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(X1),X4),X5))))|~class_Lattices_Oupper__semilattice(X2)|~class_Lattices_Oupper__semilattice(X1)|~hBOOL(c_Orderings_Oorder__class_Omono(X3,X1,X2)))).
% 0.97/1.16 cnf(i_0_842, plain, (hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(X1,tc_fun(X2,tc_bool)),X3),hAPP(hAPP(c_COMBB(tc_fun(X2,tc_bool),tc_fun(X2,tc_bool),X1),hAPP(c_Set_Oinsert(X2),X4)),X5))=hAPP(hAPP(c_Set_Oinsert(X2),X4),hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(X1,tc_fun(X2,tc_bool)),X3),X5))|~hBOOL(hAPP(hAPP(c_in(X1),X6),X3)))).
% 0.97/1.16 cnf(i_0_891, plain, (hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(X1,tc_fun(X2,tc_bool)),X3),hAPP(hAPP(c_COMBB(tc_fun(X2,tc_bool),tc_fun(X2,tc_bool),X1),hAPP(c_Set_Oinsert(X2),X4)),X5))=hAPP(hAPP(c_Set_Oinsert(X2),X4),hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(X1,tc_fun(X2,tc_bool)),X3),X5))|~hBOOL(hAPP(hAPP(c_in(X1),X6),X3)))).
% 0.97/1.16 cnf(i_0_917, plain, (X2=X5|c_List_Omap(X1,X2,X3,X4)!=c_List_Omap(X1,X5,X3,X4)|~c_Fun_Oinj__on(X1,hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(X3,tc_bool)),c_List_Oset(X2,X3)),c_List_Oset(X5,X3)),X3,X4))).
% 0.97/1.16 cnf(i_0_918, plain, (X2=X5|c_List_Omap(X1,X2,X3,X4)!=c_List_Omap(X1,X5,X3,X4)|~c_Fun_Oinj__on(X1,hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(X3,tc_bool)),c_List_Oset(X2,X3)),c_List_Oset(X5,X3)),X3,X4))).
% 0.97/1.16 cnf(i_0_1141, plain, (X1=c_Lambda_OdB_OAbs(X3)|c_List_Ofoldl(c_Lambda_OdB_OApp,X1,X2,tc_Lambda_OdB,tc_Lambda_OdB)!=c_Lambda_OdB_OAbs(X3))).
% 0.97/1.16 cnf(i_0_990, plain, (c_Lambda_OdB_OVar(X1)=X2|c_Lambda_OdB_OVar(X1)!=c_List_Ofoldl(c_Lambda_OdB_OApp,X2,X3,tc_Lambda_OdB,tc_Lambda_OdB))).
% 0.97/1.16 cnf(i_0_1102, plain, (c_Lambda_OdB_OAbs(X1)=X2|c_Lambda_OdB_OAbs(X1)!=c_List_Ofoldl(c_Lambda_OdB_OApp,X2,X3,tc_Lambda_OdB,tc_Lambda_OdB))).
% 0.97/1.16 cnf(i_0_1205, plain, (hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(X4,tc_fun(X3,tc_bool)),X5),hAPP(hAPP(c_COMBB(tc_fun(X2,tc_bool),tc_fun(X3,tc_bool),X4),c_Set_Oimage(X1,X2,X3)),X6))=hAPP(c_Set_Oimage(X1,X2,X3),hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(X4,tc_fun(X2,tc_bool)),X5),X6)))).
% 0.97/1.16 cnf(i_0_822, plain, (hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(X4,tc_fun(X3,tc_bool)),X5),hAPP(hAPP(c_COMBB(tc_fun(X2,tc_bool),tc_fun(X3,tc_bool),X4),c_Relation_OImage(X1,X2,X3)),X6))=hAPP(c_Relation_OImage(X1,X2,X3),hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(X4,tc_fun(X2,tc_bool)),X5),X6)))).
% 0.97/1.16 cnf(i_0_1296, plain, (hAPP(hAPP(c_Lambda_OdB_OApp,c_Lambda_OdB_OAbs(X1)),X2)!=c_List_Ofoldl(c_Lambda_OdB_OApp,c_Lambda_OdB_OVar(X3),X4,tc_Lambda_OdB,tc_Lambda_OdB))).
% 0.97/1.16 cnf(i_0_1373, plain, (hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(X2,tc_bool)),hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(X1,tc_fun(X2,tc_bool)),X3),X5)),hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(X1,tc_fun(X2,tc_bool)),X4),X5))=hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(X1,tc_fun(X2,tc_bool)),hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(X1,tc_bool)),X3),X4)),X5))).
% 0.97/1.16 cnf(i_0_1393, plain, (hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(X2,tc_bool)),hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(X1,tc_fun(X2,tc_bool)),X3),X5)),hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(X1,tc_fun(X2,tc_bool)),X4),X5))=hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(X1,tc_fun(X2,tc_bool)),hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(X1,tc_bool)),X3),X4)),X5))).
% 1.01/1.16 cnf(i_0_1384, plain, (hAPP(hAPP(hAPP(hAPP(c_Recdef_Ocut(X1,X2),X3),X4),X5),X6)=hAPP(X3,X6)|~hBOOL(hAPP(hAPP(c_in(tc_prod(X1,X1)),hAPP(hAPP(c_Pair(X1,X1),X6),X5)),X4)))).
% 1.01/1.16 cnf(i_0_1385, plain, (hAPP(hAPP(hAPP(hAPP(c_Recdef_Ocut(X1,X2),X3),X4),X5),X6)=hAPP(X3,X6)|~hBOOL(hAPP(hAPP(c_in(tc_prod(X1,X1)),hAPP(hAPP(c_Pair(X1,X1),X6),X5)),X4)))).
% 1.01/1.16 cnf(i_0_1258, plain, (hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(X3,tc_fun(X1,tc_bool)),X4),hAPP(hAPP(c_COMBB(tc_fun(X1,tc_bool),tc_fun(X1,tc_bool),X3),hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(X1,tc_bool)),X2)),X5))=hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(X1,tc_bool)),X2),hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(X3,tc_fun(X1,tc_bool)),X4),X5)))).
% 1.01/1.16 cnf(i_0_1259, plain, (hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(X3,tc_fun(X1,tc_bool)),X4),hAPP(hAPP(c_COMBB(tc_fun(X1,tc_bool),tc_fun(X1,tc_bool),X3),hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(X1,tc_bool)),X2)),X5))=hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(X1,tc_bool)),X2),hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(X3,tc_fun(X1,tc_bool)),X4),X5)))).
% 1.01/1.16 cnf(i_0_1145, plain, (hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(X3,tc_fun(X1,tc_bool)),X4),hAPP(hAPP(c_COMBB(tc_fun(X1,tc_bool),tc_fun(X1,tc_bool),X3),hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(X1,tc_bool)),X2)),X5))=hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(X1,tc_bool)),X2),hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(X3,tc_fun(X1,tc_bool)),X4),X5)))).
% 1.01/1.16 cnf(i_0_1147, plain, (hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(X3,tc_fun(X1,tc_bool)),X4),hAPP(hAPP(c_COMBB(tc_fun(X1,tc_bool),tc_fun(X1,tc_bool),X3),hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(X1,tc_bool)),X2)),X5))=hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(X1,tc_bool)),X2),hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(X3,tc_fun(X1,tc_bool)),X4),X5)))).
% 1.01/1.16 cnf(i_0_1146, plain, (hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(X1,tc_fun(X2,tc_bool)),X3),hAPP(hAPP(c_COMBB(tc_fun(X2,tc_bool),tc_fun(X2,tc_bool),X1),hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(X2,tc_bool)),X4)),X5))=hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(X2,tc_bool)),X4),hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(X1,tc_fun(X2,tc_bool)),X3),X5)))).
% 1.01/1.16 cnf(i_0_1084, plain, (hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(X1,tc_fun(X2,tc_bool)),X3),hAPP(hAPP(c_COMBB(tc_fun(X2,tc_bool),tc_fun(X2,tc_bool),X1),hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(X2,tc_bool)),X4)),X5))=hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(X2,tc_bool)),X4),hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(X1,tc_fun(X2,tc_bool)),X3),X5)))).
% 1.01/1.16 cnf(i_0_895, plain, (X4=c_Orderings_Obot__class_Obot(tc_fun(X3,tc_bool))|hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(X3,tc_fun(X1,tc_bool)),X4),hAPP(hAPP(c_COMBB(tc_fun(X1,tc_bool),tc_fun(X1,tc_bool),X3),hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(X1,tc_bool)),X2)),X5))=hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(X1,tc_bool)),X2),hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(X3,tc_fun(X1,tc_bool)),X4),X5)))).
% 1.01/1.16 cnf(i_0_1415, plain, (X4=c_Orderings_Obot__class_Obot(tc_fun(X3,tc_bool))|hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(X3,tc_fun(X1,tc_bool)),X4),hAPP(hAPP(c_COMBB(tc_fun(X1,tc_bool),tc_fun(X1,tc_bool),X3),hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(X1,tc_bool)),X2)),X5))=hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(X1,tc_bool)),X2),hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(X3,tc_fun(X1,tc_bool)),X4),X5)))).
% 1.01/1.16 cnf(i_0_1064, plain, (X3=c_Orderings_Obot__class_Obot(tc_fun(X1,tc_bool))|hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(X1,tc_fun(X2,tc_bool)),X3),hAPP(hAPP(c_COMBB(tc_fun(X2,tc_bool),tc_fun(X2,tc_bool),X1),hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(X2,tc_bool)),X4)),X5))=hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(X2,tc_bool)),X4),hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(X1,tc_fun(X2,tc_bool)),X3),X5)))).
% 1.01/1.16 cnf(i_0_1156, plain, (X3=c_Orderings_Obot__class_Obot(tc_fun(X1,tc_bool))|hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(X1,tc_fun(X2,tc_bool)),X3),hAPP(hAPP(c_COMBB(tc_fun(X2,tc_bool),tc_fun(X2,tc_bool),X1),hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(X2,tc_bool)),X4)),X5))=hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(X2,tc_bool)),X4),hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(X1,tc_fun(X2,tc_bool)),X3),X5)))).
% 1.01/1.16 cnf(i_0_1510, plain, (hBOOL(hAPP(hAPP(hAPP(c_Type_Otyping,hAPP(hAPP(hAPP(c_Type_Oshift(tc_Type_Otype),X1),X2),X3)),c_Lambda_Olift(X4,X2)),X5))|~hBOOL(hAPP(hAPP(hAPP(c_Type_Otyping,X1),X4),X5)))).
% 1.01/1.16 cnf(i_0_803, plain, (hBOOL(hAPP(hAPP(X1,X2),X3))|~hBOOL(hAPP(c_split(X1,X4,X5,tc_bool),hAPP(hAPP(c_Pair(X4,X5),X2),X3))))).
% 1.01/1.16 cnf(i_0_1037, plain, (hAPP(X3,X7)=hAPP(X6,X7)|hAPP(hAPP(hAPP(c_Recdef_Ocut(X1,X2),X3),X4),X5)!=hAPP(hAPP(hAPP(c_Recdef_Ocut(X1,X2),X6),X4),X5)|~hBOOL(hAPP(hAPP(c_in(tc_prod(X1,X1)),hAPP(hAPP(c_Pair(X1,X1),X7),X5)),X4)))).
% 1.01/1.16 cnf(i_0_1107, plain, (hAPP(hAPP(X3,hAPP(hAPP(X1,X2),X4)),hAPP(hAPP(X1,X2),X5))=hAPP(hAPP(X1,X2),hAPP(hAPP(X3,X4),X5))|~c_Lattices_Odistrib__lattice(X6,X7,X3,X1,X8))).
% 1.01/1.16 cnf(i_0_1105, plain, (hAPP(hAPP(X3,hAPP(hAPP(X1,X2),X4)),hAPP(hAPP(X1,X2),X5))=hAPP(hAPP(X1,X2),hAPP(hAPP(X3,X4),X5))|~c_Lattices_Odistrib__lattice(X6,X7,X1,X3,X8))).
% 1.01/1.16 cnf(i_0_1246, plain, (hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(X1,tc_bool)),hAPP(c_Collect(X1),hAPP(hAPP(c_COMBC(X1,X1,tc_bool),c_fequal(X1)),X2))),X3)=hAPP(hAPP(c_Set_Oinsert(X1),X2),X3))).
% 1.01/1.16 cnf(i_0_1108, plain, (hAPP(hAPP(X2,hAPP(hAPP(X1,X3),X5)),hAPP(hAPP(X1,X4),X5))=hAPP(hAPP(X1,hAPP(hAPP(X2,X3),X4)),X5)|~c_Lattices_Odistrib__lattice(X6,X7,X2,X1,X8))).
% 1.01/1.16 cnf(i_0_1106, plain, (hAPP(hAPP(X2,hAPP(hAPP(X1,X3),X5)),hAPP(hAPP(X1,X4),X5))=hAPP(hAPP(X1,hAPP(hAPP(X2,X3),X4)),X5)|~c_Lattices_Odistrib__lattice(X6,X7,X1,X2,X8))).
% 1.01/1.16 cnf(i_0_1482, plain, (hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(X2,tc_fun(X1,tc_bool)),c_Orderings_Otop__class_Otop(tc_fun(X2,tc_bool))),hAPP(hAPP(c_COMBB(tc_fun(X1,tc_bool),tc_fun(X1,tc_bool),X2),c_Collect(X1)),hAPP(c_COMBC(X1,X2,tc_bool),X3)))=hAPP(c_Collect(X1),hAPP(hAPP(c_COMBB(tc_fun(X2,tc_bool),tc_bool,X1),c_All(X2)),X3)))).
% 1.01/1.16 cnf(i_0_1161, plain, (hBOOL(hAPP(hAPP(c_in(X1),X2),hAPP(c_Relation_OImage(X3,X4,X1),X5)))|~hBOOL(hAPP(hAPP(c_in(X4),X6),X5))|~hBOOL(hAPP(hAPP(c_in(tc_prod(X4,X1)),hAPP(hAPP(c_Pair(X4,X1),X6),X2)),X3)))).
% 1.01/1.16 cnf(i_0_1162, plain, (hBOOL(hAPP(hAPP(c_in(X1),X2),hAPP(c_Relation_OImage(X3,X4,X1),X5)))|~hBOOL(hAPP(hAPP(c_in(X4),X6),X5))|~hBOOL(hAPP(hAPP(c_in(tc_prod(X4,X1)),hAPP(hAPP(c_Pair(X4,X1),X6),X2)),X3)))).
% 1.01/1.16 cnf(i_0_1354, plain, (hBOOL(hAPP(hAPP(c_in(tc_prod(X1,X2)),hAPP(hAPP(c_Pair(X1,X2),X3),X4)),c_Product__Type_OSigma(X5,X6,X1,X2)))|~hBOOL(hAPP(hAPP(c_in(X1),X3),X5))|~hBOOL(hAPP(hAPP(c_in(X2),X4),hAPP(X6,X3))))).
% 1.01/1.16 cnf(i_0_1355, plain, (hBOOL(hAPP(hAPP(c_in(tc_prod(X1,X2)),hAPP(hAPP(c_Pair(X1,X2),X3),X4)),c_Product__Type_OSigma(X5,X6,X1,X2)))|~hBOOL(hAPP(hAPP(c_in(X1),X3),X5))|~hBOOL(hAPP(hAPP(c_in(X2),X4),hAPP(X6,X3))))).
% 1.01/1.16 cnf(i_0_1310, plain, (hBOOL(hAPP(hAPP(c_Predicate_Oeval(X1),c_Predicate_Obind(X2,X3,X4,X1)),X5))|~hBOOL(hAPP(hAPP(c_Predicate_Oeval(X4),X2),X6))|~hBOOL(hAPP(hAPP(c_Predicate_Oeval(X1),hAPP(X3,X6)),X5)))).
% 1.01/1.16 cnf(i_0_800, plain, (X2=X3|hBOOL(hAPP(hAPP(c_in(tc_prod(X1,X1)),hAPP(hAPP(c_Pair(X1,X1),X3),X2)),X4))|hBOOL(hAPP(hAPP(c_in(tc_prod(X1,X1)),hAPP(hAPP(c_Pair(X1,X1),X2),X3)),X4))|~hBOOL(c_Relation_Ototal__on(X5,X4,X1))|~hBOOL(hAPP(hAPP(c_in(X1),X3),X5))|~hBOOL(hAPP(hAPP(c_in(X1),X2),X5)))).
% 1.01/1.16 cnf(i_0_998, plain, (hBOOL(hAPP(hAPP(c_lessequals(X1),hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(X1),X2),hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(X1),X3),X4))),hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(X1),hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(X1),X2),X3)),hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(X1),X2),X4))))|~class_Lattices_Olattice(X1))).
% 1.01/1.16 cnf(i_0_903, plain, (c_Finite__Set_Ofinite(hAPP(c_Set_Oimage(hAPP(hAPP(c_COMBB(X1,X2,X3),X4),X5),X3,X2),c_Orderings_Otop__class_Otop(tc_fun(X3,tc_bool))),X2)|~c_Finite__Set_Ofinite(hAPP(c_Set_Oimage(X5,X3,X1),c_Orderings_Otop__class_Otop(tc_fun(X3,tc_bool))),X1))).
% 1.01/1.16 cnf(i_0_1539, plain, (hBOOL(c_List_Olistsp(hAPP(hAPP(c_COMBB(tc_fun(tc_Type_Otype,tc_bool),tc_bool,tc_Lambda_OdB),c_Ex(tc_Type_Otype)),hAPP(c_Type_Otyping,hAPP(hAPP(hAPP(c_Type_Oshift(tc_Type_Otype),v_e____),v_i____),v_T____))),v_rs____,tc_Lambda_OdB)))).
% 1.01/1.16 cnf(i_0_912, plain, (c_split(hAPP(hAPP(c_COMBB(tc_fun(X1,tc_prod(X2,X1)),tc_fun(X1,X3),X2),hAPP(c_COMBB(tc_prod(X2,X1),X3,X1),X4)),c_Pair(X2,X1)),X2,X1,X3)=X4)).
% 1.01/1.16 cnf(i_0_1158, plain, (hBOOL(hAPP(hAPP(c_in(X1),X2),hAPP(c_Relation_OImage(X3,X4,X1),hAPP(hAPP(c_Set_Oinsert(X4),X5),c_Orderings_Obot__class_Obot(tc_fun(X4,tc_bool))))))|~hBOOL(hAPP(hAPP(c_in(tc_prod(X4,X1)),hAPP(hAPP(c_Pair(X4,X1),X5),X2)),X3)))).
% 1.01/1.16 cnf(i_0_1400, plain, (hBOOL(hAPP(hAPP(hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(X1,tc_fun(X2,tc_bool))),X3),X4),X5),X6))|~hBOOL(hAPP(hAPP(X4,X5),X6))|~hBOOL(hAPP(hAPP(X3,X5),X6)))).
% 1.01/1.16 cnf(i_0_1208, plain, (c_List_Ofoldl(hAPP(c_COMBC(X2,X1,X1),hAPP(hAPP(c_COMBB(X1,tc_fun(X1,X1),X2),c_Lattices_Olower__semilattice__class_Oinf(X1)),X4)),c_Orderings_Otop__class_Otop(X1),X3,X1,X2)=hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(X2,X1),c_List_Oset(X3,X2)),X4)|~class_Complete__Lattice_Ocomplete__lattice(X1))).
% 1.01/1.16 cnf(i_0_926, plain, (c_List_Ofoldl(hAPP(c_COMBC(X2,X1,X1),hAPP(hAPP(c_COMBB(X1,tc_fun(X1,X1),X2),c_Lattices_Oupper__semilattice__class_Osup(X1)),X4)),c_Orderings_Obot__class_Obot(X1),X3,X1,X2)=hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(X2,X1),c_List_Oset(X3,X2)),X4)|~class_Complete__Lattice_Ocomplete__lattice(X1))).
% 1.01/1.16 cnf(i_0_1157, plain, (hBOOL(hAPP(hAPP(c_in(tc_prod(X1,X2)),hAPP(hAPP(c_Pair(X1,X2),X3),X4)),X5))|~hBOOL(hAPP(hAPP(c_in(X2),X4),hAPP(c_Relation_OImage(X5,X1,X2),hAPP(hAPP(c_Set_Oinsert(X1),X3),c_Orderings_Obot__class_Obot(tc_fun(X1,tc_bool)))))))).
% 1.01/1.16 cnf(i_0_1522, plain, (c_List_Ofilter(X1,c_List_Ofilter(X2,X3,X4),X4)=c_List_Ofilter(hAPP(hAPP(c_COMBS(X4,tc_bool,tc_bool),hAPP(hAPP(c_COMBB(tc_bool,tc_fun(tc_bool,tc_bool),X4),c_and),X2)),X1),X3,X4))).
% 1.01/1.16 cnf(i_0_1043, plain, (hBOOL(hAPP(hAPP(c_in(X1),X2),X3))|~hBOOL(hAPP(hAPP(c_in(tc_prod(X1,X4)),hAPP(hAPP(c_Pair(X1,X4),X2),X5)),c_Product__Type_OSigma(X3,X6,X1,X4))))).
% 1.01/1.16 cnf(i_0_1490, plain, (hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(X1,tc_bool)),hAPP(c_Collect(X1),X2)),hAPP(c_Collect(X1),X3))=hAPP(c_Collect(X1),hAPP(hAPP(c_COMBS(X1,tc_bool,tc_bool),hAPP(hAPP(c_COMBB(tc_bool,tc_fun(tc_bool,tc_bool),X1),c_and),X2)),X3)))).
% 1.01/1.16 cnf(i_0_1333, plain, (hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(X1,tc_bool)),hAPP(c_Collect(X1),X2)),hAPP(c_Collect(X1),X3))=hAPP(c_Collect(X1),hAPP(hAPP(c_COMBS(X1,tc_bool,tc_bool),hAPP(hAPP(c_COMBB(tc_bool,tc_fun(tc_bool,tc_bool),X1),c_or),X2)),X3)))).
% 1.01/1.16 cnf(i_0_1042, plain, (hBOOL(hAPP(hAPP(c_in(X1),X2),hAPP(X3,X4)))|~hBOOL(hAPP(hAPP(c_in(tc_prod(X5,X1)),hAPP(hAPP(c_Pair(X5,X1),X4),X2)),c_Product__Type_OSigma(X6,X3,X5,X1))))).
% 1.01/1.16 cnf(i_0_1528, plain, (hAPP(hAPP(c_and,c_List_Olistsp(X1,v_x,t_a)),c_List_Olistsp(X2,v_x,t_a))=c_List_Olistsp(hAPP(hAPP(c_COMBS(t_a,tc_bool,tc_bool),hAPP(hAPP(c_COMBB(tc_bool,tc_fun(tc_bool,tc_bool),t_a),c_and),X1)),X2),v_x,t_a))).
% 1.01/1.16 cnf(i_0_1487, plain, (hAPP(c_Collect(X1),hAPP(hAPP(c_COMBS(X1,tc_bool,tc_bool),hAPP(hAPP(c_COMBB(tc_bool,tc_fun(tc_bool,tc_bool),X1),c_and),hAPP(c_fequal(X1),X2))),X3))=c_Orderings_Obot__class_Obot(tc_fun(X1,tc_bool))|hBOOL(hAPP(X3,X2)))).
% 1.01/1.16 cnf(i_0_1389, plain, (X1=X2|~hBOOL(c_Relation_Osingle__valued(X6,X3,X4))|~hBOOL(hAPP(hAPP(c_in(tc_prod(X3,X4)),hAPP(hAPP(c_Pair(X3,X4),X5),X2)),X6))|~hBOOL(hAPP(hAPP(c_in(tc_prod(X3,X4)),hAPP(hAPP(c_Pair(X3,X4),X5),X1)),X6)))).
% 1.01/1.16 cnf(i_0_1334, plain, (hAPP(c_Collect(X1),hAPP(hAPP(c_COMBS(X1,tc_bool,tc_bool),hAPP(hAPP(c_COMBB(tc_bool,tc_fun(tc_bool,tc_bool),X1),c_and),hAPP(c_fequal(X1),X2))),X3))=hAPP(hAPP(c_Set_Oinsert(X1),X2),c_Orderings_Obot__class_Obot(tc_fun(X1,tc_bool)))|~hBOOL(hAPP(X3,X2)))).
% 1.01/1.16 cnf(i_0_1327, plain, (c_Lattices_Odistrib__lattice(hAPP(c_COMBC(X1,X1,tc_bool),X2),hAPP(c_COMBC(X1,X1,tc_bool),X3),X4,X5,X1)|~c_Lattices_Odistrib__lattice(X2,X3,X5,X4,X1))).
% 1.01/1.16 cnf(i_0_1099, plain, (hBOOL(hAPP(hAPP(c_lessequals(X1),hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(X1),hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(X1),X2),X3)),hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(X1),X2),X4))),hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(X1),X2),hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(X1),X3),X4))))|~class_Lattices_Olattice(X1))).
% 1.01/1.16 cnf(i_0_1134, plain, (hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(X2,tc_fun(X3,tc_bool)),X4),hAPP(hAPP(c_COMBB(tc_fun(X2,tc_bool),tc_fun(X3,tc_bool),X2),c_Relation_OImage(X1,X2,X3)),hAPP(hAPP(c_COMBC(X2,tc_fun(X2,tc_bool),tc_fun(X2,tc_bool)),c_Set_Oinsert(X2)),c_Orderings_Obot__class_Obot(tc_fun(X2,tc_bool)))))=hAPP(c_Relation_OImage(X1,X2,X3),X4))).
% 1.01/1.16 cnf(i_0_1530, plain, (hBOOL(hAPP(c_InductTermi_OIT,hAPP(hAPP(hAPP(c_Lambda_Osubst,X3),X4),X5)))|c_Type_Otype_OFun(X1,X2)!=v_T____|~hBOOL(hAPP(c_InductTermi_OIT,X4))|~hBOOL(hAPP(c_InductTermi_OIT,X3))|~hBOOL(hAPP(hAPP(hAPP(c_Type_Otyping,X6),X4),X2))|~hBOOL(hAPP(hAPP(hAPP(c_Type_Otyping,hAPP(hAPP(hAPP(c_Type_Oshift(tc_Type_Otype),X6),X5),X2)),X3),X7)))).
% 1.01/1.16 cnf(i_0_1531, plain, (hBOOL(hAPP(c_InductTermi_OIT,hAPP(hAPP(hAPP(c_Lambda_Osubst,X3),X4),X5)))|c_Type_Otype_OFun(X1,X2)!=v_T____|~hBOOL(hAPP(c_InductTermi_OIT,X4))|~hBOOL(hAPP(c_InductTermi_OIT,X3))|~hBOOL(hAPP(hAPP(hAPP(c_Type_Otyping,X6),X4),X1))|~hBOOL(hAPP(hAPP(hAPP(c_Type_Otyping,hAPP(hAPP(hAPP(c_Type_Oshift(tc_Type_Otype),X6),X5),X1)),X3),X7)))).
% 1.01/1.16 cnf(i_0_1135, plain, (X1=X3|c_List_Ofoldl(c_Lambda_OdB_OApp,X1,X2,tc_Lambda_OdB,tc_Lambda_OdB)!=c_List_Ofoldl(c_Lambda_OdB_OApp,X3,X2,tc_Lambda_OdB,tc_Lambda_OdB))).
% 1.01/1.16 cnf(i_0_948, plain, (c_List_Ofoldl(c_Lambda_OdB_OApp,c_Lambda_OdB_OAbs(X3),X4,tc_Lambda_OdB,tc_Lambda_OdB)!=c_List_Ofoldl(c_Lambda_OdB_OApp,c_Lambda_OdB_OVar(X1),X2,tc_Lambda_OdB,tc_Lambda_OdB))).
% 1.01/1.16 cnf(i_0_1361, plain, (X2=X4|c_List_Ofoldl(c_Lambda_OdB_OApp,c_Lambda_OdB_OVar(X1),X2,tc_Lambda_OdB,tc_Lambda_OdB)!=c_List_Ofoldl(c_Lambda_OdB_OApp,c_Lambda_OdB_OVar(X3),X4,tc_Lambda_OdB,tc_Lambda_OdB))).
% 1.01/1.16 cnf(i_0_1038, plain, (X2=X4|c_List_Ofoldl(c_Lambda_OdB_OApp,c_Lambda_OdB_OAbs(X1),X2,tc_Lambda_OdB,tc_Lambda_OdB)!=c_List_Ofoldl(c_Lambda_OdB_OApp,c_Lambda_OdB_OAbs(X3),X4,tc_Lambda_OdB,tc_Lambda_OdB))).
% 1.01/1.16 cnf(i_0_1362, plain, (X1=X3|c_List_Ofoldl(c_Lambda_OdB_OApp,c_Lambda_OdB_OVar(X1),X2,tc_Lambda_OdB,tc_Lambda_OdB)!=c_List_Ofoldl(c_Lambda_OdB_OApp,c_Lambda_OdB_OVar(X3),X4,tc_Lambda_OdB,tc_Lambda_OdB))).
% 1.01/1.16 cnf(i_0_1139, plain, (X1=X3|c_List_Ofoldl(c_Lambda_OdB_OApp,c_Lambda_OdB_OAbs(X1),X2,tc_Lambda_OdB,tc_Lambda_OdB)!=c_List_Ofoldl(c_Lambda_OdB_OApp,c_Lambda_OdB_OAbs(X3),X4,tc_Lambda_OdB,tc_Lambda_OdB))).
% 1.01/1.16 cnf(i_0_1538, plain, (hBOOL(hAPP(hAPP(hAPP(c_Type_Otyping,X1),hAPP(hAPP(hAPP(c_Lambda_Osubst,X5),X2),X4)),X6))|~hBOOL(hAPP(hAPP(hAPP(c_Type_Otyping,X1),X2),X3))|~hBOOL(hAPP(hAPP(hAPP(c_Type_Otyping,hAPP(hAPP(hAPP(c_Type_Oshift(tc_Type_Otype),X1),X4),X3)),X5),X6)))).
% 1.01/1.16 cnf(i_0_1442, plain, (c_Transitive__Closure_Ortranclp(hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(X1,tc_fun(X1,tc_bool))),X2),hAPP(hAPP(c_COMBB(tc_fun(X1,tc_bool),tc_fun(X1,tc_bool),X1),hAPP(c_COMBB(tc_bool,tc_bool,X1),c_Not)),c_fequal(X1))),X1)=c_Transitive__Closure_Ortranclp(X2,X1))).
% 1.01/1.16 cnf(i_0_1215, plain, (hBOOL(hAPP(hAPP(c_in(tc_prod(X1,X1)),hAPP(hAPP(c_Pair(X1,X1),X2),X3)),X4))|~hBOOL(c_Relation_Otrans(X4,X1))|~hBOOL(hAPP(hAPP(c_in(tc_prod(X1,X1)),hAPP(hAPP(c_Pair(X1,X1),X5),X3)),X4))|~hBOOL(hAPP(hAPP(c_in(tc_prod(X1,X1)),hAPP(hAPP(c_Pair(X1,X1),X2),X5)),X4)))).
% 1.01/1.16 cnf(i_0_1216, plain, (hBOOL(hAPP(hAPP(c_in(tc_prod(X1,X1)),hAPP(hAPP(c_Pair(X1,X1),X2),X3)),X4))|~hBOOL(c_Relation_Otrans(X4,X1))|~hBOOL(hAPP(hAPP(c_in(tc_prod(X1,X1)),hAPP(hAPP(c_Pair(X1,X1),X5),X3)),X4))|~hBOOL(hAPP(hAPP(c_in(tc_prod(X1,X1)),hAPP(hAPP(c_Pair(X1,X1),X2),X5)),X4)))).
% 1.01/1.16 cnf(i_0_1290, plain, (hBOOL(hAPP(hAPP(X1,X2),X3))|~hBOOL(hAPP(hAPP(hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(X4,tc_fun(X5,tc_bool))),X6),X1),X2),X3)))).
% 1.01/1.16 cnf(i_0_1291, plain, (hBOOL(hAPP(hAPP(X1,X2),X3))|~hBOOL(hAPP(hAPP(hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(X4,tc_fun(X5,tc_bool))),X1),X6),X2),X3)))).
% 1.01/1.16 cnf(i_0_1149, plain, (hAPP(hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(t_a,tc_bool)),hAPP(hAPP(c_COMBC(t_a,tc_fun(t_a,tc_bool),tc_bool),c_in(t_a)),X1)),hAPP(hAPP(c_COMBC(t_a,tc_fun(t_a,tc_bool),tc_bool),c_in(t_a)),X2)),v_x)=hAPP(hAPP(c_in(t_a),v_x),hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(t_a,tc_bool)),X1),X2)))).
% 1.01/1.16 cnf(i_0_971, plain, (hAPP(hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(t_a,tc_bool)),hAPP(hAPP(c_COMBC(t_a,tc_fun(t_a,tc_bool),tc_bool),c_in(t_a)),X1)),hAPP(hAPP(c_COMBC(t_a,tc_fun(t_a,tc_bool),tc_bool),c_in(t_a)),X2)),v_x)=hAPP(hAPP(c_in(t_a),v_x),hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(t_a,tc_bool)),X1),X2)))).
% 1.01/1.16 cnf(i_0_991, plain, (c_Lambda_Obeta(c_List_Ofoldl(c_Lambda_OdB_OApp,X1,X2,tc_Lambda_OdB,tc_Lambda_OdB),c_List_Ofoldl(c_Lambda_OdB_OApp,X3,X2,tc_Lambda_OdB,tc_Lambda_OdB))|~c_Lambda_Obeta(X1,X3))).
% 1.01/1.16 cnf(i_0_1309, plain, (c_List_Ofoldl(X1,c_List_Ofoldl(X1,X2,X3,X6,X5),X4,X6,X5)=c_List_Ofoldl(X1,X2,c_List_Oappend(X3,X4,X5),X6,X5))).
% 1.01/1.16 cnf(i_0_1320, plain, (hBOOL(hAPP(c_InductTermi_OIT,c_List_Ofoldl(c_Lambda_OdB_OApp,c_Lambda_OdB_OVar(X1),X2,tc_Lambda_OdB,tc_Lambda_OdB)))|~hBOOL(c_List_Olistsp(c_InductTermi_OIT,X2,tc_Lambda_OdB)))).
% 1.01/1.16 cnf(i_0_946, plain, (hBOOL(c_Relation_Osingle__valued(c_Relation_Orel__comp(X1,X2,X3,X4,X5),X3,X5))|~hBOOL(c_Relation_Osingle__valued(X2,X4,X5))|~hBOOL(c_Relation_Osingle__valued(X1,X3,X4)))).
% 1.01/1.16 cnf(i_0_879, plain, (hAPP(hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(X1,tc_fun(t_a,tc_bool)),c_Orderings_Otop__class_Otop(tc_fun(X1,tc_bool))),hAPP(hAPP(c_COMBB(tc_fun(t_a,tc_bool),tc_fun(t_a,tc_bool),X1),hAPP(c_COMBC(t_a,tc_fun(t_a,tc_bool),tc_bool),c_in(t_a))),X2)),v_x)=hAPP(hAPP(c_in(t_a),v_x),hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(X1,tc_fun(t_a,tc_bool)),c_Orderings_Otop__class_Otop(tc_fun(X1,tc_bool))),X2)))).
% 1.01/1.16 cnf(i_0_1085, plain, (hAPP(hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(X1,tc_fun(t_a,tc_bool)),c_Orderings_Otop__class_Otop(tc_fun(X1,tc_bool))),hAPP(hAPP(c_COMBB(tc_fun(t_a,tc_bool),tc_fun(t_a,tc_bool),X1),hAPP(c_COMBC(t_a,tc_fun(t_a,tc_bool),tc_bool),c_in(t_a))),X2)),v_x)=hAPP(hAPP(c_in(t_a),v_x),hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(X1,tc_fun(t_a,tc_bool)),c_Orderings_Otop__class_Otop(tc_fun(X1,tc_bool))),X2)))).
% 1.01/1.16 cnf(i_0_1488, plain, (c_Finite__Set_Ofinite(hAPP(c_Collect(X1),hAPP(hAPP(c_COMBS(X1,tc_bool,tc_bool),hAPP(hAPP(c_COMBB(tc_bool,tc_fun(tc_bool,tc_bool),X1),c_and),X2)),X3)),X1)|~c_Finite__Set_Ofinite(hAPP(c_Collect(X1),X3),X1))).
% 1.01/1.16 cnf(i_0_1489, plain, (c_Finite__Set_Ofinite(hAPP(c_Collect(X1),hAPP(hAPP(c_COMBS(X1,tc_bool,tc_bool),hAPP(hAPP(c_COMBB(tc_bool,tc_fun(tc_bool,tc_bool),X1),c_and),X2)),X3)),X1)|~c_Finite__Set_Ofinite(hAPP(c_Collect(X1),X2),X1))).
% 1.01/1.16 cnf(i_0_1330, plain, (c_Finite__Set_Ofinite(hAPP(c_Collect(X1),hAPP(hAPP(c_COMBS(X1,tc_bool,tc_bool),hAPP(hAPP(c_COMBB(tc_bool,tc_fun(tc_bool,tc_bool),X1),c_or),X2)),X3)),X1)|~c_Finite__Set_Ofinite(hAPP(c_Collect(X1),X3),X1)|~c_Finite__Set_Ofinite(hAPP(c_Collect(X1),X2),X1))).
% 1.01/1.16 cnf(i_0_1244, plain, (hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(X2,tc_fun(X3,tc_bool)),X4),hAPP(hAPP(c_COMBC(X2,tc_fun(X3,tc_bool),tc_fun(X3,tc_bool)),hAPP(hAPP(c_COMBB(X3,tc_fun(tc_fun(X3,tc_bool),tc_fun(X3,tc_bool)),X2),c_Set_Oinsert(X3)),X1)),c_Orderings_Obot__class_Obot(tc_fun(X3,tc_bool))))=hAPP(c_Set_Oimage(X1,X2,X3),X4))).
% 1.01/1.16 cnf(i_0_854, plain, (c_Relation_Orel__comp(c_Relation_Orel__comp(X1,X2,X3,X4,X5),X6,X3,X5,X7)=c_Relation_Orel__comp(X1,c_Relation_Orel__comp(X2,X6,X4,X5,X7),X3,X4,X7))).
% 1.01/1.16 cnf(i_0_1502, plain, (hAPP(c_Collect(X1),hAPP(hAPP(c_COMBS(X1,tc_bool,tc_bool),hAPP(hAPP(c_COMBB(tc_bool,tc_fun(tc_bool,tc_bool),X1),c_and),hAPP(hAPP(c_COMBC(X1,X1,tc_bool),c_fequal(X1)),X2))),X3))=c_Orderings_Obot__class_Obot(tc_fun(X1,tc_bool))|hBOOL(hAPP(X3,X2)))).
% 1.01/1.16 cnf(i_0_1480, plain, (hAPP(c_Collect(X1),hAPP(hAPP(c_COMBS(X1,tc_bool,tc_bool),hAPP(hAPP(c_COMBB(tc_bool,tc_fun(tc_bool,tc_bool),X1),c_and),hAPP(hAPP(c_COMBC(X1,X1,tc_bool),c_fequal(X1)),X2))),X3))=hAPP(hAPP(c_Set_Oinsert(X1),X2),c_Orderings_Obot__class_Obot(tc_fun(X1,tc_bool)))|~hBOOL(hAPP(X3,X2)))).
% 1.01/1.16 cnf(i_0_1323, plain, (hAPP(hAPP(c_Finite__Set_Osetsum(X2,X1),hAPP(hAPP(c_COMBC(X2,X1,X1),hAPP(hAPP(c_COMBB(X1,tc_fun(X1,X1),X2),c_HOL_Otimes__class_Otimes(X1)),X3)),X5)),X4)=hAPP(hAPP(c_HOL_Otimes__class_Otimes(X1),hAPP(hAPP(c_Finite__Set_Osetsum(X2,X1),X3),X4)),X5)|~class_Ring__and__Field_Osemiring__0(X1))).
% 1.01/1.16 cnf(i_0_1321, plain, (hAPP(c_All(t_a),hAPP(hAPP(c_COMBS(t_a,tc_bool,tc_bool),hAPP(hAPP(c_COMBB(tc_bool,tc_fun(tc_bool,tc_bool),t_a),c_implies),hAPP(hAPP(c_COMBC(t_a,tc_fun(t_a,tc_bool),tc_bool),c_in(t_a)),v_B))),v_A))=c_Predicate_OPowp(v_A,v_B,t_a))).
% 1.01/1.16 cnf(i_0_1449, plain, (hAPP(c_All(t_a),hAPP(hAPP(c_COMBS(t_a,tc_bool,tc_bool),hAPP(hAPP(c_COMBB(tc_bool,tc_fun(tc_bool,tc_bool),t_a),c_implies),hAPP(hAPP(c_COMBC(t_a,tc_fun(t_a,tc_bool),tc_bool),c_in(t_a)),v_B))),X1))=c_Predicate_OPowp(X1,v_B,t_a))).
% 1.01/1.16 cnf(i_0_1113, plain, (hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(X1,tc_fun(X2,tc_bool)),c_Orderings_Obot__class_Obot(tc_fun(X1,tc_bool))),hAPP(hAPP(c_COMBC(X1,tc_fun(X2,tc_bool),tc_fun(X2,tc_bool)),hAPP(hAPP(c_COMBB(tc_fun(X2,tc_bool),tc_fun(tc_fun(X2,tc_bool),tc_fun(X2,tc_bool)),X1),c_Lattices_Olower__semilattice__class_Oinf(tc_fun(X2,tc_bool))),X3)),X4))=c_Orderings_Otop__class_Otop(tc_fun(X2,tc_bool)))).
% 1.01/1.16 cnf(i_0_1295, plain, (hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(X1,tc_fun(X2,tc_bool)),c_Orderings_Obot__class_Obot(tc_fun(X1,tc_bool))),hAPP(hAPP(c_COMBC(X1,tc_fun(X2,tc_bool),tc_fun(X2,tc_bool)),hAPP(hAPP(c_COMBB(tc_fun(X2,tc_bool),tc_fun(tc_fun(X2,tc_bool),tc_fun(X2,tc_bool)),X1),c_Lattices_Oupper__semilattice__class_Osup(tc_fun(X2,tc_bool))),X3)),X4))=c_Orderings_Obot__class_Obot(tc_fun(X2,tc_bool)))).
% 1.01/1.16 cnf(i_0_1318, plain, (hAPP(c_Collect(X1),hAPP(hAPP(c_COMBS(X1,tc_bool,tc_bool),hAPP(hAPP(c_COMBB(tc_bool,tc_fun(tc_bool,tc_bool),X1),c_or),hAPP(hAPP(c_COMBC(X1,X1,tc_bool),c_fequal(X1)),X2))),hAPP(hAPP(c_COMBC(X1,tc_fun(X1,tc_bool),tc_bool),c_in(X1)),X3)))=hAPP(hAPP(c_Set_Oinsert(X1),X2),X3))).
% 1.01/1.16 cnf(i_0_1103, plain, (hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(X1,tc_bool)),hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(X1,tc_bool)),hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(X1,tc_bool)),X2),X3)),hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(X1,tc_bool)),X3),X4))),hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(X1,tc_bool)),X4),X2))=hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(X1,tc_bool)),hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(X1,tc_bool)),hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(X1,tc_bool)),X2),X3)),hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(X1,tc_bool)),X3),X4))),hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(X1,tc_bool)),X4),X2)))).
% 1.01/1.16 cnf(i_0_1257, plain, (hBOOL(hAPP(hAPP(c_in(tc_prod(X1,X2)),hAPP(hAPP(c_Pair(X1,X2),X3),X4)),c_Relation_Orel__comp(X5,X6,X1,X7,X2)))|~hBOOL(hAPP(hAPP(c_in(tc_prod(X7,X2)),hAPP(hAPP(c_Pair(X7,X2),X8),X4)),X6))|~hBOOL(hAPP(hAPP(c_in(tc_prod(X1,X7)),hAPP(hAPP(c_Pair(X1,X7),X3),X8)),X5)))).
% 1.01/1.16 cnf(i_0_1294, plain, (hAPP(c_Collect(X3),hAPP(hAPP(c_COMBS(X3,tc_bool,tc_bool),hAPP(hAPP(c_COMBB(tc_bool,tc_fun(tc_bool,tc_bool),X3),c_and),hAPP(hAPP(c_COMBC(X3,tc_fun(X3,tc_bool),tc_bool),c_in(X3)),c_List_Oset(X2,X3)))),X1))=c_List_Oset(c_List_Ofilter(X1,X2,X3),X3))).
% 1.01/1.16 cnf(i_0_1243, plain, (hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(X2,tc_fun(X1,tc_bool)),X3),hAPP(hAPP(c_COMBC(X2,tc_fun(X1,tc_bool),tc_fun(X1,tc_bool)),hAPP(hAPP(c_COMBB(tc_fun(X1,tc_bool),tc_fun(tc_fun(X1,tc_bool),tc_fun(X1,tc_bool)),X2),c_Lattices_Olower__semilattice__class_Oinf(tc_fun(X1,tc_bool))),X4)),X5))=hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(X1,tc_bool)),hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(X2,tc_fun(X1,tc_bool)),X3),X4)),X5))).
% 1.01/1.16 cnf(i_0_1260, plain, (hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(X2,tc_fun(X1,tc_bool)),X3),hAPP(hAPP(c_COMBC(X2,tc_fun(X1,tc_bool),tc_fun(X1,tc_bool)),hAPP(hAPP(c_COMBB(tc_fun(X1,tc_bool),tc_fun(tc_fun(X1,tc_bool),tc_fun(X1,tc_bool)),X2),c_Lattices_Oupper__semilattice__class_Osup(tc_fun(X1,tc_bool))),X4)),X5))=hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(X1,tc_bool)),hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(X2,tc_fun(X1,tc_bool)),X3),X4)),X5))).
% 1.01/1.16 cnf(i_0_886, plain, (hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(X1,tc_fun(X2,tc_bool)),X3),hAPP(hAPP(c_COMBC(X1,tc_fun(X2,tc_bool),tc_fun(X2,tc_bool)),hAPP(hAPP(c_COMBB(tc_fun(X2,tc_bool),tc_fun(tc_fun(X2,tc_bool),tc_fun(X2,tc_bool)),X1),c_Lattices_Oupper__semilattice__class_Osup(tc_fun(X2,tc_bool))),X4)),X5))=hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(X2,tc_bool)),hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(X1,tc_fun(X2,tc_bool)),X3),X4)),X5))).
% 1.01/1.16 cnf(i_0_1140, plain, (hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(X1,tc_fun(X2,tc_bool)),X3),hAPP(hAPP(c_COMBC(X1,tc_fun(X2,tc_bool),tc_fun(X2,tc_bool)),hAPP(hAPP(c_COMBB(tc_fun(X2,tc_bool),tc_fun(tc_fun(X2,tc_bool),tc_fun(X2,tc_bool)),X1),c_Lattices_Olower__semilattice__class_Oinf(tc_fun(X2,tc_bool))),X4)),X5))=hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(X2,tc_bool)),hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(X1,tc_fun(X2,tc_bool)),X3),X4)),X5))).
% 1.01/1.16 cnf(i_0_1364, plain, (X3=c_Orderings_Obot__class_Obot(tc_fun(X2,tc_bool))|hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(X2,tc_fun(X1,tc_bool)),X3),hAPP(hAPP(c_COMBC(X2,tc_fun(X1,tc_bool),tc_fun(X1,tc_bool)),hAPP(hAPP(c_COMBB(tc_fun(X1,tc_bool),tc_fun(tc_fun(X1,tc_bool),tc_fun(X1,tc_bool)),X2),c_Lattices_Olower__semilattice__class_Oinf(tc_fun(X1,tc_bool))),X4)),X5))=hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(X1,tc_bool)),hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(X2,tc_fun(X1,tc_bool)),X3),X4)),X5))).
% 1.01/1.16 cnf(i_0_1203, plain, (X3=c_Orderings_Obot__class_Obot(tc_fun(X2,tc_bool))|hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(X2,tc_fun(X1,tc_bool)),X3),hAPP(hAPP(c_COMBC(X2,tc_fun(X1,tc_bool),tc_fun(X1,tc_bool)),hAPP(hAPP(c_COMBB(tc_fun(X1,tc_bool),tc_fun(tc_fun(X1,tc_bool),tc_fun(X1,tc_bool)),X2),c_Lattices_Oupper__semilattice__class_Osup(tc_fun(X1,tc_bool))),X4)),X5))=hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(X1,tc_bool)),hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(X2,tc_fun(X1,tc_bool)),X3),X4)),X5))).
% 1.01/1.16 cnf(i_0_1397, plain, (X3=c_Orderings_Obot__class_Obot(tc_fun(X1,tc_bool))|hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(X1,tc_fun(X2,tc_bool)),X3),hAPP(hAPP(c_COMBC(X1,tc_fun(X2,tc_bool),tc_fun(X2,tc_bool)),hAPP(hAPP(c_COMBB(tc_fun(X2,tc_bool),tc_fun(tc_fun(X2,tc_bool),tc_fun(X2,tc_bool)),X1),c_Lattices_Olower__semilattice__class_Oinf(tc_fun(X2,tc_bool))),X4)),X5))=hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(X2,tc_bool)),hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(X1,tc_fun(X2,tc_bool)),X3),X4)),X5))).
% 1.01/1.16 cnf(i_0_1245, plain, (X3=c_Orderings_Obot__class_Obot(tc_fun(X1,tc_bool))|hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(X1,tc_fun(X2,tc_bool)),X3),hAPP(hAPP(c_COMBC(X1,tc_fun(X2,tc_bool),tc_fun(X2,tc_bool)),hAPP(hAPP(c_COMBB(tc_fun(X2,tc_bool),tc_fun(tc_fun(X2,tc_bool),tc_fun(X2,tc_bool)),X1),c_Lattices_Oupper__semilattice__class_Osup(tc_fun(X2,tc_bool))),X4)),X5))=hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(X2,tc_bool)),hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(X1,tc_fun(X2,tc_bool)),X3),X4)),X5))).
% 1.01/1.16 cnf(i_0_1453, plain, (hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(X1,tc_fun(X2,tc_bool)),X3),hAPP(hAPP(c_COMBS(X1,tc_fun(X2,tc_bool),tc_fun(X2,tc_bool)),hAPP(hAPP(c_COMBB(tc_fun(X2,tc_bool),tc_fun(tc_fun(X2,tc_bool),tc_fun(X2,tc_bool)),X1),c_Lattices_Olower__semilattice__class_Oinf(tc_fun(X2,tc_bool))),X4)),X5))=hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(X2,tc_bool)),hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(X1,tc_fun(X2,tc_bool)),X3),X4)),hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(X1,tc_fun(X2,tc_bool)),X3),X5)))).
% 1.01/1.16 cnf(i_0_1454, plain, (hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(X1,tc_fun(X2,tc_bool)),X3),hAPP(hAPP(c_COMBS(X1,tc_fun(X2,tc_bool),tc_fun(X2,tc_bool)),hAPP(hAPP(c_COMBB(tc_fun(X2,tc_bool),tc_fun(tc_fun(X2,tc_bool),tc_fun(X2,tc_bool)),X1),c_Lattices_Oupper__semilattice__class_Osup(tc_fun(X2,tc_bool))),X4)),X5))=hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(X2,tc_bool)),hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(X1,tc_fun(X2,tc_bool)),X3),X4)),hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(X1,tc_fun(X2,tc_bool)),X3),X5)))).
% 1.01/1.16 cnf(i_0_1331, plain, (c_Finite__Set_Ofinite(hAPP(c_Collect(X1),X2),X1)|~c_Finite__Set_Ofinite(hAPP(c_Collect(X1),hAPP(hAPP(c_COMBS(X1,tc_bool,tc_bool),hAPP(hAPP(c_COMBB(tc_bool,tc_fun(tc_bool,tc_bool),X1),c_or),X3)),X2)),X1))).
% 1.01/1.16 cnf(i_0_1332, plain, (c_Finite__Set_Ofinite(hAPP(c_Collect(X1),X2),X1)|~c_Finite__Set_Ofinite(hAPP(c_Collect(X1),hAPP(hAPP(c_COMBS(X1,tc_bool,tc_bool),hAPP(hAPP(c_COMBB(tc_bool,tc_fun(tc_bool,tc_bool),X1),c_or),X2)),X3)),X1))).
% 1.01/1.16 cnf(i_0_1319, plain, (hAPP(c_Collect(X1),hAPP(hAPP(c_COMBS(X1,tc_bool,tc_bool),hAPP(hAPP(c_COMBB(tc_bool,tc_fun(tc_bool,tc_bool),X1),c_and),hAPP(hAPP(c_COMBC(X1,tc_fun(X1,tc_bool),tc_bool),c_in(X1)),X2))),hAPP(hAPP(c_COMBC(X1,tc_fun(X1,tc_bool),tc_bool),c_in(X1)),X3)))=hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(X1,tc_bool)),X2),X3))).
% 1.01/1.16 cnf(i_0_1222, plain, (hAPP(c_Collect(X1),hAPP(hAPP(c_COMBS(X1,tc_bool,tc_bool),hAPP(hAPP(c_COMBB(tc_bool,tc_fun(tc_bool,tc_bool),X1),c_or),hAPP(hAPP(c_COMBC(X1,tc_fun(X1,tc_bool),tc_bool),c_in(X1)),X2))),hAPP(hAPP(c_COMBC(X1,tc_fun(X1,tc_bool),tc_bool),c_in(X1)),X3)))=hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(X1,tc_bool)),X2),X3))).
% 1.01/1.16 cnf(i_0_1501, plain, (hBOOL(hAPP(hAPP(hAPP(c_Type_Otyping,hAPP(hAPP(hAPP(c_Type_Oshift(tc_Type_Otype),v_e____),v_i____),v_T____)),c_List_Ofoldl(c_Lambda_OdB_OApp,c_Lambda_OdB_OVar(v_n____),v_rs____,tc_Lambda_OdB,tc_Lambda_OdB)),v_T_H____)))).
% 1.01/1.16 cnf(i_0_894, plain, (hAPP(c_Collect(X3),hAPP(hAPP(c_COMBC(X3,tc_fun(tc_prod(X2,X3),tc_bool),tc_bool),hAPP(hAPP(c_COMBB(tc_prod(X2,X3),tc_fun(tc_fun(tc_prod(X2,X3),tc_bool),tc_bool),X3),c_in(tc_prod(X2,X3))),hAPP(c_Pair(X2,X3),X4))),X1))=hAPP(c_Relation_OImage(X1,X2,X3),hAPP(hAPP(c_Set_Oinsert(X2),X4),c_Orderings_Obot__class_Obot(tc_fun(X2,tc_bool)))))).
% 1.01/1.16 cnf(i_0_1483, plain, (hAPP(X1,c_List_Ofoldl(hAPP(hAPP(c_COMBB(tc_fun(X8,X4),tc_fun(X8,X3),X3),hAPP(c_COMBB(X4,X3,X8),X2)),hAPP(hAPP(c_COMBB(X4,tc_fun(X8,X4),X3),X5),X1)),X6,X7,X3,X8))=c_List_Ofoldl(X5,hAPP(X1,X6),X7,X4,X8)|hAPP(X1,hAPP(X2,c_List_Osko__List__Xfoldl__apply__inv__1__1(X1,X2,X3,X4)))!=c_List_Osko__List__Xfoldl__apply__inv__1__1(X1,X2,X3,X4))).
% 1.01/1.16 cnf(i_0_1485, plain, (c_List_Ofoldl(hAPP(hAPP(c_COMBC(X7,tc_fun(X5,X6),tc_fun(X5,X7)),hAPP(hAPP(c_COMBB(tc_fun(X6,X7),tc_fun(tc_fun(X5,X6),tc_fun(X5,X7)),X7),c_COMBB(X6,X7,X5)),X1)),X3),X2,X4,X7,X5)=c_List_Ofoldl(X1,X2,c_List_Omap(X3,X4,X5,X6),X7,X6))).
% 1.01/1.16 cnf(i_0_1391, plain, (hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(X3,tc_fun(X2,tc_bool)),X4),hAPP(hAPP(c_COMBC(X3,tc_fun(X1,tc_fun(X2,tc_bool)),tc_fun(X2,tc_bool)),hAPP(hAPP(c_COMBB(tc_fun(X1,tc_bool),tc_fun(tc_fun(X1,tc_fun(X2,tc_bool)),tc_fun(X2,tc_bool)),X3),c_Complete__Lattice_Ocomplete__lattice__class_OINFI(X1,tc_fun(X2,tc_bool))),X5)),X6))=hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(X1,tc_fun(X2,tc_bool)),hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(X3,tc_fun(X1,tc_bool)),X4),X5)),X6))).
% 1.01/1.16 cnf(i_0_1256, plain, (hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(X3,tc_fun(X2,tc_bool)),X4),hAPP(hAPP(c_COMBC(X3,tc_fun(X1,tc_fun(X2,tc_bool)),tc_fun(X2,tc_bool)),hAPP(hAPP(c_COMBB(tc_fun(X1,tc_bool),tc_fun(tc_fun(X1,tc_fun(X2,tc_bool)),tc_fun(X2,tc_bool)),X3),c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(X1,tc_fun(X2,tc_bool))),X5)),X6))=hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(X1,tc_fun(X2,tc_bool)),hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(X3,tc_fun(X1,tc_bool)),X4),X5)),X6))).
% 1.01/1.16 cnf(i_0_1065, plain, (hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(X1,tc_fun(X2,tc_bool)),X3),hAPP(hAPP(c_COMBC(X1,tc_fun(X4,tc_fun(X2,tc_bool)),tc_fun(X2,tc_bool)),hAPP(hAPP(c_COMBB(tc_fun(X4,tc_bool),tc_fun(tc_fun(X4,tc_fun(X2,tc_bool)),tc_fun(X2,tc_bool)),X1),c_Complete__Lattice_Ocomplete__lattice__class_OINFI(X4,tc_fun(X2,tc_bool))),X5)),X6))=hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(X4,tc_fun(X2,tc_bool)),hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(X1,tc_fun(X4,tc_bool)),X3),X5)),X6))).
% 1.01/1.16 cnf(i_0_947, plain, (hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(X1,tc_fun(X2,tc_bool)),X3),hAPP(hAPP(c_COMBC(X1,tc_fun(X4,tc_fun(X2,tc_bool)),tc_fun(X2,tc_bool)),hAPP(hAPP(c_COMBB(tc_fun(X4,tc_bool),tc_fun(tc_fun(X4,tc_fun(X2,tc_bool)),tc_fun(X2,tc_bool)),X1),c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(X4,tc_fun(X2,tc_bool))),X5)),X6))=hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(X4,tc_fun(X2,tc_bool)),hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(X1,tc_fun(X4,tc_bool)),X3),X5)),X6))).
% 1.01/1.16 cnf(i_0_1512, plain, (hAPP(c_Collect(X1),hAPP(hAPP(c_COMBS(X1,tc_bool,tc_bool),hAPP(hAPP(c_COMBB(tc_bool,tc_fun(tc_bool,tc_bool),X1),c_implies),hAPP(hAPP(c_COMBB(tc_bool,tc_bool,X1),c_Not),hAPP(hAPP(c_COMBC(X1,X1,tc_bool),c_fequal(X1)),X2)))),X3))=hAPP(hAPP(c_Set_Oinsert(X1),X2),hAPP(c_Collect(X1),X3)))).
% 1.01/1.16 cnf(i_0_1473, plain, (c_Predicate_Opred_OPred(hAPP(hAPP(c_COMBB(tc_fun(t_a,tc_bool),tc_bool,t_b),c_Ex(t_a)),hAPP(hAPP(c_COMBB(tc_fun(t_a,tc_bool),tc_fun(t_a,tc_bool),t_b),hAPP(c_COMBS(t_a,tc_bool,tc_bool),hAPP(hAPP(c_COMBB(tc_bool,tc_fun(tc_bool,tc_bool),t_a),c_and),hAPP(c_Predicate_Oeval(t_a),v_P)))),hAPP(c_COMBC(t_a,t_b,tc_bool),hAPP(hAPP(c_COMBB(tc_Predicate_Opred(t_b),tc_fun(t_b,tc_bool),t_a),c_Predicate_Oeval(t_b)),v_f)))),t_b)=c_Predicate_Obind(v_P,v_f,t_a,t_b))).
% 1.01/1.16 cnf(i_0_1495, plain, (c_Predicate_Opred_OPred(hAPP(hAPP(c_COMBB(tc_fun(X3,tc_bool),tc_bool,X4),c_Ex(X3)),hAPP(hAPP(c_COMBB(tc_fun(X3,tc_bool),tc_fun(X3,tc_bool),X4),hAPP(c_COMBS(X3,tc_bool,tc_bool),hAPP(hAPP(c_COMBB(tc_bool,tc_fun(tc_bool,tc_bool),X3),c_and),hAPP(c_Predicate_Oeval(X3),X1)))),hAPP(c_COMBC(X3,X4,tc_bool),hAPP(hAPP(c_COMBB(tc_Predicate_Opred(X4),tc_fun(X4,tc_bool),X3),c_Predicate_Oeval(X4)),X2)))),X4)=c_Predicate_Obind(X1,X2,X3,X4))).
% 1.01/1.16 cnf(i_0_1324, plain, (hAPP(hAPP(c_Finite__Set_Osetsum(X3,X1),hAPP(hAPP(c_COMBC(X3,tc_fun(X2,tc_bool),X1),hAPP(hAPP(c_COMBB(tc_fun(X2,X1),tc_fun(tc_fun(X2,tc_bool),X1),X3),c_Finite__Set_Osetsum(X2,X1)),hAPP(c_COMBC(X2,X3,X1),X4))),X6)),X5)=hAPP(hAPP(c_Finite__Set_Osetsum(X2,X1),hAPP(hAPP(c_COMBC(X2,tc_fun(X3,tc_bool),X1),hAPP(hAPP(c_COMBB(tc_fun(X3,X1),tc_fun(tc_fun(X3,tc_bool),X1),X2),c_Finite__Set_Osetsum(X3,X1)),X4)),X5)),X6)|~class_OrderedGroup_Ocomm__monoid__add(X1))).
% 1.01/1.16 cnf(i_0_861, plain, (hAPP(c_Collect(tc_prod(X1,X2)),c_split(hAPP(hAPP(c_COMBC(X1,tc_fun(X2,tc_bool),tc_fun(X2,tc_bool)),hAPP(hAPP(c_COMBB(tc_fun(tc_bool,tc_bool),tc_fun(tc_fun(X2,tc_bool),tc_fun(X2,tc_bool)),X1),c_COMBB(tc_bool,tc_bool,X2)),hAPP(hAPP(c_COMBB(tc_bool,tc_fun(tc_bool,tc_bool),X1),c_and),X3))),X4),X1,X2,tc_bool))=c_Product__Type_OSigma(hAPP(c_Collect(X1),X3),hAPP(c_COMBK(tc_fun(X2,tc_bool),X1),hAPP(c_Collect(X2),X4)),X1,X2))).
% 1.01/1.16 cnf(i_0_1492, plain, (hAPP(c_Collect(tc_prod(X1,X2)),c_split(hAPP(hAPP(c_COMBS(X1,tc_fun(X2,tc_bool),tc_fun(X2,tc_bool)),hAPP(hAPP(c_COMBB(tc_fun(tc_bool,tc_bool),tc_fun(tc_fun(X2,tc_bool),tc_fun(X2,tc_bool)),X1),c_COMBB(tc_bool,tc_bool,X2)),hAPP(hAPP(c_COMBB(tc_bool,tc_fun(tc_bool,tc_bool),X1),c_and),X3))),X4),X1,X2,tc_bool))=c_Product__Type_OSigma(hAPP(c_Collect(X1),X3),hAPP(hAPP(c_COMBB(tc_fun(X2,tc_bool),tc_fun(X2,tc_bool),X1),c_Collect(X2)),X4),X1,X2))).
% 1.01/1.16 cnf(i_0_1451, plain, (c_The(c_split(hAPP(hAPP(c_COMBC(X1,tc_fun(X2,tc_bool),tc_fun(X2,tc_bool)),hAPP(hAPP(c_COMBB(tc_fun(tc_bool,tc_bool),tc_fun(tc_fun(X2,tc_bool),tc_fun(X2,tc_bool)),X1),c_COMBB(tc_bool,tc_bool,X2)),hAPP(hAPP(c_COMBB(tc_bool,tc_fun(tc_bool,tc_bool),X1),c_and),hAPP(c_fequal(X1),X3)))),hAPP(c_fequal(X2),X4)),X1,X2,tc_bool),tc_prod(X1,X2))=hAPP(hAPP(c_Pair(X1,X2),X3),X4))).
% 1.01/1.16 cnf(i_0_1452, plain, (c_Hilbert__Choice_OEps(c_split(hAPP(hAPP(c_COMBC(X1,tc_fun(X2,tc_bool),tc_fun(X2,tc_bool)),hAPP(hAPP(c_COMBB(tc_fun(tc_bool,tc_bool),tc_fun(tc_fun(X2,tc_bool),tc_fun(X2,tc_bool)),X1),c_COMBB(tc_bool,tc_bool,X2)),hAPP(hAPP(c_COMBB(tc_bool,tc_fun(tc_bool,tc_bool),X1),c_and),hAPP(c_fequal(X1),X3)))),hAPP(c_fequal(X2),X4)),X1,X2,tc_bool),tc_prod(X1,X2))=hAPP(hAPP(c_Pair(X1,X2),X3),X4))).
% 1.01/1.16 cnf(i_0_1504, plain, (hBOOL(hAPP(X3,c_ATP__Linkup_Osko__Finite__Set__Xfinite__Collect__bounded__ex__1__1(X3,X4,X2,X1)))|c_Finite__Set_Ofinite(hAPP(c_Collect(X1),hAPP(hAPP(c_COMBB(tc_fun(X2,tc_bool),tc_bool,X1),c_Ex(X2)),hAPP(hAPP(c_COMBB(tc_fun(X2,tc_bool),tc_fun(X2,tc_bool),X1),hAPP(c_COMBS(X2,tc_bool,tc_bool),hAPP(hAPP(c_COMBB(tc_bool,tc_fun(tc_bool,tc_bool),X2),c_and),X3))),X4))),X1)|~c_Finite__Set_Ofinite(hAPP(c_Collect(X2),X3),X2))).
% 1.01/1.16 cnf(i_0_1018, plain, (X1=X2|~hBOOL(hAPP(hAPP(hAPP(c_Type_Otyping,X3),c_List_Ofoldl(c_Lambda_OdB_OApp,c_Lambda_OdB_OVar(X4),X5,tc_Lambda_OdB,tc_Lambda_OdB)),X2))|~hBOOL(hAPP(hAPP(hAPP(c_Type_Otyping,X3),c_List_Ofoldl(c_Lambda_OdB_OApp,c_Lambda_OdB_OVar(X4),X5,tc_Lambda_OdB,tc_Lambda_OdB)),X1)))).
% 1.01/1.16 cnf(i_0_1499, plain, (c_The(hAPP(hAPP(c_COMBS(t_a,tc_bool,tc_bool),hAPP(hAPP(c_COMBB(tc_bool,tc_fun(tc_bool,tc_bool),t_a),c_and),v_P)),hAPP(hAPP(c_COMBB(tc_fun(t_a,tc_bool),tc_bool,t_a),c_All(t_a)),hAPP(hAPP(c_COMBB(tc_fun(t_a,tc_bool),tc_fun(t_a,tc_bool),t_a),hAPP(c_COMBS(t_a,tc_bool,tc_bool),hAPP(hAPP(c_COMBB(tc_bool,tc_fun(tc_bool,tc_bool),t_a),c_implies),v_P))),c_lessequals(t_a)))),t_a)=c_Orderings_Oord__class_OLeast(v_P,t_a)|~class_HOL_Oord(t_a))).
% 1.01/1.16 cnf(i_0_1511, plain, (c_The(hAPP(hAPP(c_COMBS(t_a,tc_bool,tc_bool),hAPP(hAPP(c_COMBB(tc_bool,tc_fun(tc_bool,tc_bool),t_a),c_and),v_P)),hAPP(hAPP(c_COMBB(tc_fun(t_a,tc_bool),tc_bool,t_a),c_All(t_a)),hAPP(hAPP(c_COMBB(tc_fun(t_a,tc_bool),tc_fun(t_a,tc_bool),t_a),hAPP(c_COMBS(t_a,tc_bool,tc_bool),hAPP(hAPP(c_COMBB(tc_bool,tc_fun(tc_bool,tc_bool),t_a),c_implies),v_P))),X1))),t_a)=c_Orderings_Oord_OLeast(X1,v_P,t_a))).
% 1.01/1.16 cnf(i_0_1508, plain, (c_Finite__Set_Ofinite(hAPP(c_Collect(X1),hAPP(hAPP(c_COMBB(tc_fun(X2,tc_bool),tc_bool,X1),c_Ex(X2)),hAPP(hAPP(c_COMBB(tc_fun(X2,tc_bool),tc_fun(X2,tc_bool),X1),hAPP(c_COMBS(X2,tc_bool,tc_bool),hAPP(hAPP(c_COMBB(tc_bool,tc_fun(tc_bool,tc_bool),X2),c_and),X3))),X4))),X1)|~c_Finite__Set_Ofinite(hAPP(c_Collect(X2),X3),X2)|~c_Finite__Set_Ofinite(hAPP(c_Collect(X1),hAPP(hAPP(c_COMBC(X1,X2,tc_bool),X4),c_ATP__Linkup_Osko__Finite__Set__Xfinite__Collect__bounded__ex__1__1(X3,X4,X2,X1))),X1))).
% 1.01/1.16 cnf(i_0_1497, plain, (hAPP(c_Collect(X1),hAPP(hAPP(c_COMBB(tc_fun(X2,tc_bool),tc_bool,X1),c_All(X2)),hAPP(hAPP(c_COMBB(tc_fun(X2,tc_bool),tc_fun(X2,tc_bool),X1),hAPP(c_COMBS(X2,tc_bool,tc_bool),hAPP(hAPP(c_COMBB(tc_bool,tc_fun(tc_bool,tc_bool),X2),c_implies),hAPP(hAPP(c_COMBC(X2,tc_fun(X2,tc_bool),tc_bool),c_in(X2)),X3)))),X4)))=hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(X2,tc_fun(X1,tc_bool)),X3),hAPP(hAPP(c_COMBB(tc_fun(X1,tc_bool),tc_fun(X1,tc_bool),X2),c_Collect(X1)),hAPP(c_COMBC(X1,X2,tc_bool),X4))))).
% 1.01/1.16 cnf(i_0_1474, plain, (hAPP(c_Collect(X2),hAPP(hAPP(c_COMBB(tc_fun(X1,tc_bool),tc_bool,X2),c_Ex(X1)),hAPP(hAPP(c_COMBB(tc_fun(X1,tc_bool),tc_fun(X1,tc_bool),X2),hAPP(c_COMBS(X1,tc_bool,tc_bool),hAPP(hAPP(c_COMBB(tc_bool,tc_fun(tc_bool,tc_bool),X1),c_and),hAPP(hAPP(c_COMBC(X1,tc_fun(X1,tc_bool),tc_bool),c_in(X1)),X4)))),hAPP(c_COMBC(X1,X2,tc_bool),X3))))=hAPP(c_Relation_OImage(hAPP(c_Collect(tc_prod(X1,X2)),c_split(X3,X1,X2,tc_bool)),X1,X2),X4))).
% 1.01/1.16 cnf(i_0_1526, plain, (c_Finite__Set_Ofinite(hAPP(c_Collect(X1),hAPP(hAPP(c_COMBC(X1,X2,tc_bool),X3),X4)),X1)|~hBOOL(hAPP(X5,X4))|~c_Finite__Set_Ofinite(hAPP(c_Collect(X2),X5),X2)|~c_Finite__Set_Ofinite(hAPP(c_Collect(X1),hAPP(hAPP(c_COMBB(tc_fun(X2,tc_bool),tc_bool,X1),c_Ex(X2)),hAPP(hAPP(c_COMBB(tc_fun(X2,tc_bool),tc_fun(X2,tc_bool),X1),hAPP(c_COMBS(X2,tc_bool,tc_bool),hAPP(hAPP(c_COMBB(tc_bool,tc_fun(tc_bool,tc_bool),X2),c_and),X5))),X3))),X1))).
% 1.01/1.16 cnf(i_0_1500, plain, (c_HOL_OIf(hAPP(c_Ex(t_a),hAPP(hAPP(c_COMBS(t_a,tc_bool,tc_bool),hAPP(hAPP(c_COMBB(tc_bool,tc_fun(tc_bool,tc_bool),t_a),c_and),v_P)),hAPP(hAPP(c_COMBB(tc_fun(t_a,tc_bool),tc_bool,t_a),c_All(t_a)),hAPP(hAPP(c_COMBB(tc_fun(t_a,tc_bool),tc_fun(t_a,tc_bool),t_a),hAPP(c_COMBS(t_a,tc_bool,tc_bool),hAPP(hAPP(c_COMBB(tc_bool,tc_fun(tc_bool,tc_bool),t_a),c_implies),v_P))),hAPP(c_COMBC(t_a,t_a,tc_bool),c_fequal(t_a)))))),c_The(v_P,t_a),v_d,t_a)=c_FunDef_OTHE__default(v_d,v_P,t_a))).
% 1.01/1.16 cnf(i_0_1472, plain, (hAPP(c_Collect(t_b),hAPP(hAPP(c_COMBB(tc_fun(t_a,tc_bool),tc_bool,t_b),c_Ex(t_a)),hAPP(hAPP(c_COMBB(tc_fun(t_a,tc_bool),tc_fun(t_a,tc_bool),t_b),hAPP(c_COMBS(t_a,tc_bool,tc_bool),hAPP(hAPP(c_COMBB(tc_bool,tc_fun(tc_bool,tc_bool),t_a),c_and),hAPP(hAPP(c_COMBC(t_a,tc_fun(t_a,tc_bool),tc_bool),c_in(t_a)),v_A)))),hAPP(hAPP(c_COMBC(t_b,tc_fun(t_a,t_b),tc_fun(t_a,tc_bool)),hAPP(hAPP(c_COMBB(tc_fun(t_b,tc_bool),tc_fun(tc_fun(t_a,t_b),tc_fun(t_a,tc_bool)),t_b),c_COMBB(t_b,tc_bool,t_a)),c_fequal(t_b))),v_f))))=hAPP(c_Set_Oimage(v_f,t_a,t_b),v_A))).
% 1.01/1.16 cnf(i_0_1479, plain, (c_HOL_OIf(hAPP(c_Ex(t_a),hAPP(hAPP(c_COMBS(t_a,tc_bool,tc_bool),hAPP(hAPP(c_COMBB(tc_bool,tc_fun(tc_bool,tc_bool),t_a),c_and),hAPP(c_Predicate_Oeval(t_a),v_A))),hAPP(hAPP(c_COMBB(tc_fun(t_a,tc_bool),tc_bool,t_a),c_All(t_a)),hAPP(hAPP(c_COMBB(tc_fun(t_a,tc_bool),tc_fun(t_a,tc_bool),t_a),hAPP(c_COMBS(t_a,tc_bool,tc_bool),hAPP(hAPP(c_COMBB(tc_bool,tc_fun(tc_bool,tc_bool),t_a),c_implies),hAPP(c_Predicate_Oeval(t_a),v_A)))),hAPP(c_COMBC(t_a,t_a,tc_bool),c_fequal(t_a)))))),c_The(hAPP(c_Predicate_Oeval(t_a),v_A),t_a),hAPP(v_dfault,c_Product__Type_OUnity),t_a)=c_Predicate_Osingleton(v_dfault,v_A,t_a))).
% 1.01/1.16 cnf(i_0_1520, plain, (hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(X2,tc_fun(X1,tc_bool)),X3),hAPP(hAPP(c_COMBB(tc_fun(X5,tc_fun(X1,tc_bool)),tc_fun(X1,tc_bool),X2),hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(X5,tc_fun(X1,tc_bool)),X6)),hAPP(hAPP(c_COMBC(X2,tc_fun(X5,tc_fun(X1,tc_bool)),tc_fun(X5,tc_fun(X1,tc_bool))),hAPP(hAPP(c_COMBB(tc_fun(tc_fun(X1,tc_bool),tc_fun(X1,tc_bool)),tc_fun(tc_fun(X5,tc_fun(X1,tc_bool)),tc_fun(X5,tc_fun(X1,tc_bool))),X2),c_COMBB(tc_fun(X1,tc_bool),tc_fun(X1,tc_bool),X5)),hAPP(hAPP(c_COMBB(tc_fun(X1,tc_bool),tc_fun(tc_fun(X1,tc_bool),tc_fun(X1,tc_bool)),X2),c_Lattices_Olower__semilattice__class_Oinf(tc_fun(X1,tc_bool))),X4))),X7)))=hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(X1,tc_bool)),hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(X2,tc_fun(X1,tc_bool)),X3),X4)),hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(X5,tc_fun(X1,tc_bool)),X6),X7)))).
% 1.01/1.16 cnf(i_0_1521, plain, (hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(X2,tc_fun(X1,tc_bool)),X3),hAPP(hAPP(c_COMBB(tc_fun(X5,tc_fun(X1,tc_bool)),tc_fun(X1,tc_bool),X2),hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(X5,tc_fun(X1,tc_bool)),X6)),hAPP(hAPP(c_COMBC(X2,tc_fun(X5,tc_fun(X1,tc_bool)),tc_fun(X5,tc_fun(X1,tc_bool))),hAPP(hAPP(c_COMBB(tc_fun(tc_fun(X1,tc_bool),tc_fun(X1,tc_bool)),tc_fun(tc_fun(X5,tc_fun(X1,tc_bool)),tc_fun(X5,tc_fun(X1,tc_bool))),X2),c_COMBB(tc_fun(X1,tc_bool),tc_fun(X1,tc_bool),X5)),hAPP(hAPP(c_COMBB(tc_fun(X1,tc_bool),tc_fun(tc_fun(X1,tc_bool),tc_fun(X1,tc_bool)),X2),c_Lattices_Oupper__semilattice__class_Osup(tc_fun(X1,tc_bool))),X4))),X7)))=hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(X1,tc_bool)),hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(X2,tc_fun(X1,tc_bool)),X3),X4)),hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(X5,tc_fun(X1,tc_bool)),X6),X7)))).
% 1.01/1.16 cnf(i_0_1448, plain, (hAPP(c_Complete__Lattice_OSup__class_OSup(X1),hAPP(c_Collect(X1),hAPP(hAPP(c_COMBB(tc_fun(X1,tc_bool),tc_bool,X1),c_All(X1)),hAPP(hAPP(c_COMBB(tc_fun(X1,tc_bool),tc_fun(X1,tc_bool),X1),hAPP(c_COMBS(X1,tc_bool,tc_bool),hAPP(hAPP(c_COMBB(tc_bool,tc_fun(tc_bool,tc_bool),X1),c_implies),hAPP(hAPP(c_COMBC(X1,tc_fun(X1,tc_bool),tc_bool),c_in(X1)),X2)))),c_lessequals(X1)))))=hAPP(c_Complete__Lattice_OInf__class_OInf(X1),X2)|~class_Complete__Lattice_Ocomplete__lattice(X1))).
% 1.01/1.16 cnf(i_0_1481, plain, (c_Recdef_Oadm__wf(X1,hAPP(hAPP(c_COMBC(tc_fun(X2,X3),tc_fun(X2,X2),tc_fun(X2,X3)),hAPP(hAPP(c_COMBB(tc_fun(X2,tc_fun(X2,X3)),tc_fun(tc_fun(X2,X2),tc_fun(X2,X3)),tc_fun(X2,X3)),c_COMBS(X2,X2,X3)),hAPP(hAPP(c_COMBB(tc_fun(X2,tc_fun(X2,X3)),tc_fun(X2,tc_fun(X2,X3)),tc_fun(X2,X3)),hAPP(c_COMBB(tc_fun(X2,X3),tc_fun(X2,X3),X2),X4)),hAPP(hAPP(c_COMBC(tc_fun(X2,X3),tc_fun(tc_prod(X2,X2),tc_bool),tc_fun(X2,tc_fun(X2,X3))),c_Recdef_Ocut(X2,X3)),X1)))),c_COMBI(X2)),X2,X3))).
% 1.01/1.16 cnf(i_0_1475, plain, (hAPP(c_Complete__Lattice_OInf__class_OInf(X1),hAPP(c_Collect(X1),hAPP(hAPP(c_COMBB(tc_fun(X1,tc_bool),tc_bool,X1),c_All(X1)),hAPP(hAPP(c_COMBB(tc_fun(X1,tc_bool),tc_fun(X1,tc_bool),X1),hAPP(c_COMBS(X1,tc_bool,tc_bool),hAPP(hAPP(c_COMBB(tc_bool,tc_fun(tc_bool,tc_bool),X1),c_implies),hAPP(hAPP(c_COMBC(X1,tc_fun(X1,tc_bool),tc_bool),c_in(X1)),X2)))),hAPP(c_COMBC(X1,X1,tc_bool),c_lessequals(X1))))))=hAPP(c_Complete__Lattice_OSup__class_OSup(X1),X2)|~class_Complete__Lattice_Ocomplete__lattice(X1))).
% 1.01/1.16 cnf(i_0_1477, plain, (hBOOL(hAPP(hAPP(c_in(X2),c_ATP__Linkup_Osko__Finite__Set__Xfinite__Collect__bex__1__1(X3,X4,X2,X1)),X3))|c_Finite__Set_Ofinite(hAPP(c_Collect(X1),hAPP(hAPP(c_COMBB(tc_fun(X2,tc_bool),tc_bool,X1),c_Ex(X2)),hAPP(hAPP(c_COMBB(tc_fun(X2,tc_bool),tc_fun(X2,tc_bool),X1),hAPP(c_COMBS(X2,tc_bool,tc_bool),hAPP(hAPP(c_COMBB(tc_bool,tc_fun(tc_bool,tc_bool),X2),c_and),hAPP(hAPP(c_COMBC(X2,tc_fun(X2,tc_bool),tc_bool),c_in(X2)),X3)))),X4))),X1)|~c_Finite__Set_Ofinite(X3,X2))).
% 1.01/1.16 cnf(i_0_1484, plain, (c_Finite__Set_Ofinite(hAPP(c_Collect(X1),hAPP(hAPP(c_COMBB(tc_fun(X2,tc_bool),tc_bool,X1),c_Ex(X2)),hAPP(hAPP(c_COMBB(tc_fun(X2,tc_bool),tc_fun(X2,tc_bool),X1),hAPP(c_COMBS(X2,tc_bool,tc_bool),hAPP(hAPP(c_COMBB(tc_bool,tc_fun(tc_bool,tc_bool),X2),c_and),hAPP(hAPP(c_COMBC(X2,tc_fun(X2,tc_bool),tc_bool),c_in(X2)),X3)))),X4))),X1)|~c_Finite__Set_Ofinite(X3,X2)|~c_Finite__Set_Ofinite(hAPP(c_Collect(X1),hAPP(hAPP(c_COMBC(X1,X2,tc_bool),X4),c_ATP__Linkup_Osko__Finite__Set__Xfinite__Collect__bex__1__1(X3,X4,X2,X1))),X1))).
% 1.01/1.16 cnf(i_0_1523, plain, (c_Hilbert__Choice_OEps(hAPP(hAPP(c_COMBS(X4,tc_bool,tc_bool),hAPP(hAPP(c_COMBB(tc_bool,tc_fun(tc_bool,tc_bool),X4),c_and),X3)),hAPP(hAPP(c_COMBB(tc_fun(X4,tc_bool),tc_bool,X4),c_All(X4)),hAPP(hAPP(c_COMBB(tc_fun(X4,tc_bool),tc_fun(X4,tc_bool),X4),hAPP(c_COMBS(X4,tc_bool,tc_bool),hAPP(hAPP(c_COMBB(tc_bool,tc_fun(tc_bool,tc_bool),X4),c_implies),X3))),hAPP(hAPP(c_COMBB(X1,tc_fun(X4,tc_bool),X4),hAPP(c_COMBC(X4,X1,tc_bool),hAPP(hAPP(c_COMBB(X1,tc_fun(X1,tc_bool),X4),c_lessequals(X1)),X2))),X2)))),X4)=c_Hilbert__Choice_OGreatestM(X2,X3,X4,X1)|~class_HOL_Oord(X1))).
% 1.01/1.16 cnf(i_0_1447, plain, (hAPP(c_Collect(X2),hAPP(hAPP(c_COMBB(tc_fun(X1,tc_bool),tc_bool,X2),c_All(X1)),hAPP(hAPP(c_COMBB(tc_fun(X1,tc_bool),tc_fun(X1,tc_bool),X2),hAPP(c_COMBS(X1,tc_bool,tc_bool),hAPP(hAPP(c_COMBB(tc_bool,tc_fun(tc_bool,tc_bool),X1),c_implies),hAPP(hAPP(c_COMBC(X1,tc_fun(X1,tc_bool),tc_bool),c_in(X1)),X3)))),hAPP(hAPP(c_COMBC(X2,tc_fun(X1,tc_fun(X2,tc_bool)),tc_fun(X1,tc_bool)),hAPP(hAPP(c_COMBB(tc_fun(tc_fun(X2,tc_bool),tc_bool),tc_fun(tc_fun(X1,tc_fun(X2,tc_bool)),tc_fun(X1,tc_bool)),X2),c_COMBB(tc_fun(X2,tc_bool),tc_bool,X1)),c_in(X2))),X4))))=hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(X1,tc_fun(X2,tc_bool)),X3),X4))).
% 1.01/1.16 cnf(i_0_1519, plain, (hAPP(c_All(t_a),hAPP(hAPP(c_COMBB(tc_fun(t_a,tc_bool),tc_bool,t_a),c_All(t_a)),hAPP(hAPP(c_COMBS(t_a,tc_fun(t_a,tc_bool),tc_fun(t_a,tc_bool)),hAPP(hAPP(c_COMBB(tc_fun(t_a,tc_fun(tc_bool,tc_bool)),tc_fun(tc_fun(t_a,tc_bool),tc_fun(t_a,tc_bool)),t_a),c_COMBS(t_a,tc_bool,tc_bool)),hAPP(hAPP(c_COMBB(tc_fun(t_a,tc_bool),tc_fun(t_a,tc_fun(tc_bool,tc_bool)),t_a),hAPP(c_COMBB(tc_bool,tc_fun(tc_bool,tc_bool),t_a),c_implies)),c_HOL_Oord__class_Oless(t_a)))),hAPP(hAPP(c_COMBC(t_a,tc_fun(t_a,t_b),tc_fun(t_a,tc_bool)),hAPP(hAPP(c_COMBB(tc_fun(t_b,tc_bool),tc_fun(tc_fun(t_a,t_b),tc_fun(t_a,tc_bool)),t_a),c_COMBB(t_b,tc_bool,t_a)),hAPP(hAPP(c_COMBB(t_b,tc_fun(t_b,tc_bool),t_a),c_HOL_Oord__class_Oless(t_b)),v_f))),v_f))))=c_Orderings_Oorder__class_Ostrict__mono(v_f,t_a,t_b)|~class_Orderings_Oorder(t_a)|~class_Orderings_Oorder(t_b))).
% 1.01/1.16 cnf(i_0_1518, plain, (hAPP(c_All(t_a),hAPP(hAPP(c_COMBB(tc_fun(t_a,tc_bool),tc_bool,t_a),c_All(t_a)),hAPP(hAPP(c_COMBS(t_a,tc_fun(t_a,tc_bool),tc_fun(t_a,tc_bool)),hAPP(hAPP(c_COMBB(tc_fun(t_a,tc_fun(tc_bool,tc_bool)),tc_fun(tc_fun(t_a,tc_bool),tc_fun(t_a,tc_bool)),t_a),c_COMBS(t_a,tc_bool,tc_bool)),hAPP(hAPP(c_COMBB(tc_fun(t_a,tc_bool),tc_fun(t_a,tc_fun(tc_bool,tc_bool)),t_a),hAPP(c_COMBB(tc_bool,tc_fun(tc_bool,tc_bool),t_a),c_implies)),c_lessequals(t_a)))),hAPP(hAPP(c_COMBC(t_a,tc_fun(t_a,t_b),tc_fun(t_a,tc_bool)),hAPP(hAPP(c_COMBB(tc_fun(t_b,tc_bool),tc_fun(tc_fun(t_a,t_b),tc_fun(t_a,tc_bool)),t_a),c_COMBB(t_b,tc_bool,t_a)),hAPP(hAPP(c_COMBB(t_b,tc_fun(t_b,tc_bool),t_a),c_lessequals(t_b)),v_f))),v_f))))=c_Orderings_Oorder__class_Omono(v_f,t_a,t_b)|~class_Orderings_Oorder(t_a)|~class_Orderings_Oorder(t_b))).
% 1.01/1.16 cnf(i_0_1496, plain, (c_Finite__Set_Ofinite(hAPP(c_Collect(X1),hAPP(hAPP(c_COMBC(X1,X2,tc_bool),X3),X4)),X1)|~c_Finite__Set_Ofinite(X5,X2)|~hBOOL(hAPP(hAPP(c_in(X2),X4),X5))|~c_Finite__Set_Ofinite(hAPP(c_Collect(X1),hAPP(hAPP(c_COMBB(tc_fun(X2,tc_bool),tc_bool,X1),c_Ex(X2)),hAPP(hAPP(c_COMBB(tc_fun(X2,tc_bool),tc_fun(X2,tc_bool),X1),hAPP(c_COMBS(X2,tc_bool,tc_bool),hAPP(hAPP(c_COMBB(tc_bool,tc_fun(tc_bool,tc_bool),X2),c_and),hAPP(hAPP(c_COMBC(X2,tc_fun(X2,tc_bool),tc_bool),c_in(X2)),X5)))),X3))),X1))).
% 1.01/1.16 cnf(i_0_1299, plain, (X3=X4|hAPP(hAPP(c_COMBC(X1,tc_fun(tc_prod(X1,X2),tc_bool),tc_fun(X2,tc_bool)),hAPP(hAPP(c_COMBB(tc_fun(X2,tc_fun(tc_fun(tc_prod(X1,X2),tc_bool),tc_bool)),tc_fun(tc_fun(tc_prod(X1,X2),tc_bool),tc_fun(X2,tc_bool)),X1),c_COMBC(X2,tc_fun(tc_prod(X1,X2),tc_bool),tc_bool)),hAPP(hAPP(c_COMBB(tc_fun(X2,tc_prod(X1,X2)),tc_fun(X2,tc_fun(tc_fun(tc_prod(X1,X2),tc_bool),tc_bool)),X1),hAPP(c_COMBB(tc_prod(X1,X2),tc_fun(tc_fun(tc_prod(X1,X2),tc_bool),tc_bool),X2),c_in(tc_prod(X1,X2)))),c_Pair(X1,X2)))),X3)!=hAPP(hAPP(c_COMBC(X1,tc_fun(tc_prod(X1,X2),tc_bool),tc_fun(X2,tc_bool)),hAPP(hAPP(c_COMBB(tc_fun(X2,tc_fun(tc_fun(tc_prod(X1,X2),tc_bool),tc_bool)),tc_fun(tc_fun(tc_prod(X1,X2),tc_bool),tc_fun(X2,tc_bool)),X1),c_COMBC(X2,tc_fun(tc_prod(X1,X2),tc_bool),tc_bool)),hAPP(hAPP(c_COMBB(tc_fun(X2,tc_prod(X1,X2)),tc_fun(X2,tc_fun(tc_fun(tc_prod(X1,X2),tc_bool),tc_bool)),X1),hAPP(c_COMBB(tc_prod(X1,X2),tc_fun(tc_fun(tc_prod(X1,X2),tc_bool),tc_bool),X2),c_in(tc_prod(X1,X2)))),c_Pair(X1,X2)))),X4))).
% 1.01/1.16 cnf(i_0_1513, plain, (c_Hilbert__Choice_OEps(hAPP(hAPP(c_COMBS(X4,tc_bool,tc_bool),hAPP(hAPP(c_COMBB(tc_bool,tc_fun(tc_bool,tc_bool),X4),c_and),X3)),hAPP(hAPP(c_COMBB(tc_fun(X4,tc_bool),tc_bool,X4),c_All(X4)),hAPP(hAPP(c_COMBB(tc_fun(X4,tc_bool),tc_fun(X4,tc_bool),X4),hAPP(c_COMBS(X4,tc_bool,tc_bool),hAPP(hAPP(c_COMBB(tc_bool,tc_fun(tc_bool,tc_bool),X4),c_implies),X3))),hAPP(hAPP(c_COMBC(X4,tc_fun(X4,X1),tc_fun(X4,tc_bool)),hAPP(hAPP(c_COMBB(tc_fun(X1,tc_bool),tc_fun(tc_fun(X4,X1),tc_fun(X4,tc_bool)),X4),c_COMBB(X1,tc_bool,X4)),hAPP(hAPP(c_COMBB(X1,tc_fun(X1,tc_bool),X4),c_lessequals(X1)),X2))),X2)))),X4)=c_Hilbert__Choice_OLeastM(X2,X3,X4,X1)|~class_HOL_Oord(X1))).
% 1.01/1.16 cnf(i_0_1471, plain, (hAPP(hAPP(c_Finite__Set_Osetsum(X5,X1),hAPP(hAPP(c_COMBB(tc_fun(X2,tc_bool),X1,X5),hAPP(c_Finite__Set_Osetsum(X2,X1),X3)),hAPP(hAPP(c_COMBB(tc_fun(X2,tc_bool),tc_fun(X2,tc_bool),X5),c_Collect(X2)),hAPP(hAPP(c_COMBB(tc_fun(X2,tc_bool),tc_fun(X2,tc_bool),X5),hAPP(c_COMBS(X2,tc_bool,tc_bool),hAPP(hAPP(c_COMBB(tc_bool,tc_fun(tc_bool,tc_bool),X2),c_and),hAPP(hAPP(c_COMBC(X2,tc_fun(X2,tc_bool),tc_bool),c_in(X2)),X4)))),hAPP(c_COMBC(X2,X5,tc_bool),hAPP(hAPP(c_COMBB(X5,tc_fun(X5,tc_bool),X2),c_fequal(X5)),X6)))))),hAPP(c_Set_Oimage(X6,X2,X5),X4))=hAPP(hAPP(c_Finite__Set_Osetsum(X2,X1),X3),X4)|~class_OrderedGroup_Ocomm__monoid__add(X1)|~c_Finite__Set_Ofinite(X4,X2))).
% 1.01/1.16 cnf(i_0_1494, plain, (hAPP(hAPP(c_Finite__Set_Osetsum(X2,X1),hAPP(hAPP(c_COMBC(X2,tc_fun(X5,tc_bool),X1),hAPP(hAPP(c_COMBB(tc_fun(X5,X1),tc_fun(tc_fun(X5,tc_bool),X1),X2),c_Finite__Set_Osetsum(X5,X1)),hAPP(hAPP(c_COMBC(X2,tc_fun(X5,X1),tc_fun(X5,X1)),hAPP(hAPP(c_COMBB(tc_fun(X1,X1),tc_fun(tc_fun(X5,X1),tc_fun(X5,X1)),X2),c_COMBB(X1,X1,X5)),hAPP(hAPP(c_COMBB(X1,tc_fun(X1,X1),X2),c_HOL_Otimes__class_Otimes(X1)),X3))),X6))),X7)),X4)=hAPP(hAPP(c_HOL_Otimes__class_Otimes(X1),hAPP(hAPP(c_Finite__Set_Osetsum(X2,X1),X3),X4)),hAPP(hAPP(c_Finite__Set_Osetsum(X5,X1),X6),X7))|~class_Ring__and__Field_Osemiring__0(X1))).
% 1.01/1.16 cnf(i_0_1493, plain, (hAPP(hAPP(c_Finite__Set_Osetsum(X2,X1),hAPP(hAPP(c_COMBS(X2,tc_fun(X3,tc_bool),X1),hAPP(hAPP(c_COMBB(tc_fun(X3,X1),tc_fun(tc_fun(X3,tc_bool),X1),X2),c_Finite__Set_Osetsum(X3,X1)),X4)),hAPP(hAPP(c_COMBB(tc_fun(X3,tc_bool),tc_fun(X3,tc_bool),X2),c_Collect(X3)),hAPP(hAPP(c_COMBB(tc_fun(X3,tc_bool),tc_fun(X3,tc_bool),X2),hAPP(c_COMBS(X3,tc_bool,tc_bool),hAPP(hAPP(c_COMBB(tc_bool,tc_fun(tc_bool,tc_bool),X3),c_and),hAPP(hAPP(c_COMBC(X3,tc_fun(X3,tc_bool),tc_bool),c_in(X3)),X5)))),X6)))),X7)=hAPP(hAPP(c_Finite__Set_Osetsum(X3,X1),hAPP(hAPP(c_COMBS(X3,tc_fun(X2,tc_bool),X1),hAPP(hAPP(c_COMBB(tc_fun(X2,X1),tc_fun(tc_fun(X2,tc_bool),X1),X3),c_Finite__Set_Osetsum(X2,X1)),hAPP(c_COMBC(X2,X3,X1),X4))),hAPP(hAPP(c_COMBB(tc_fun(X2,tc_bool),tc_fun(X2,tc_bool),X3),c_Collect(X2)),hAPP(hAPP(c_COMBB(tc_fun(X2,tc_bool),tc_fun(X2,tc_bool),X3),hAPP(c_COMBS(X2,tc_bool,tc_bool),hAPP(hAPP(c_COMBB(tc_bool,tc_fun(tc_bool,tc_bool),X2),c_and),hAPP(hAPP(c_COMBC(X2,tc_fun(X2,tc_bool),tc_bool),c_in(X2)),X7)))),hAPP(c_COMBC(X2,X3,tc_bool),X6))))),X5)|~class_OrderedGroup_Ocomm__monoid__add(X1)|~c_Finite__Set_Ofinite(X7,X2)|~c_Finite__Set_Ofinite(X5,X3))).
% 1.01/1.16 cnf(i_0_1441, plain, (hAPP(c_Collect(X2),hAPP(hAPP(c_COMBB(tc_fun(tc_nat,tc_bool),tc_bool,X2),c_Ex(tc_nat)),hAPP(hAPP(c_COMBC(X2,tc_fun(tc_nat,tc_bool),tc_fun(tc_nat,tc_bool)),hAPP(hAPP(c_COMBB(tc_fun(tc_nat,tc_fun(tc_bool,tc_bool)),tc_fun(tc_fun(tc_nat,tc_bool),tc_fun(tc_nat,tc_bool)),X2),c_COMBS(tc_nat,tc_bool,tc_bool)),hAPP(hAPP(c_COMBB(tc_fun(tc_nat,tc_bool),tc_fun(tc_nat,tc_fun(tc_bool,tc_bool)),X2),hAPP(c_COMBB(tc_bool,tc_fun(tc_bool,tc_bool),tc_nat),c_and)),hAPP(hAPP(c_COMBC(X2,tc_fun(tc_nat,X2),tc_fun(tc_nat,tc_bool)),hAPP(hAPP(c_COMBB(tc_fun(X2,tc_bool),tc_fun(tc_fun(tc_nat,X2),tc_fun(tc_nat,tc_bool)),X2),c_COMBB(X2,tc_bool,tc_nat)),c_fequal(X2))),c_List_Onth(X1,X2))))),hAPP(hAPP(c_COMBC(tc_nat,tc_nat,tc_bool),c_HOL_Oord__class_Oless(tc_nat)),c_Nat_Osize__class_Osize(X1,tc_List_Olist(X2))))))=c_List_Oset(X1,X2))).
% 1.01/1.16 cnf(i_0_838, plain, (hAPP(c_Collect(t_b),hAPP(hAPP(c_COMBB(tc_fun(t_a,tc_bool),tc_bool,t_b),c_Ex(t_a)),hAPP(hAPP(c_COMBB(tc_fun(t_a,tc_bool),tc_fun(t_a,tc_bool),t_b),hAPP(c_COMBS(t_a,tc_bool,tc_bool),hAPP(hAPP(c_COMBB(tc_bool,tc_fun(tc_bool,tc_bool),t_a),c_and),hAPP(hAPP(c_COMBC(t_a,tc_fun(t_a,tc_bool),tc_bool),c_in(t_a)),v_s)))),hAPP(hAPP(c_COMBC(t_b,tc_fun(tc_prod(t_a,t_b),tc_bool),tc_fun(t_a,tc_bool)),hAPP(hAPP(c_COMBB(tc_fun(t_a,tc_fun(tc_fun(tc_prod(t_a,t_b),tc_bool),tc_bool)),tc_fun(tc_fun(tc_prod(t_a,t_b),tc_bool),tc_fun(t_a,tc_bool)),t_b),c_COMBC(t_a,tc_fun(tc_prod(t_a,t_b),tc_bool),tc_bool)),hAPP(hAPP(c_COMBB(tc_fun(t_a,tc_prod(t_a,t_b)),tc_fun(t_a,tc_fun(tc_fun(tc_prod(t_a,t_b),tc_bool),tc_bool)),t_b),hAPP(c_COMBB(tc_prod(t_a,t_b),tc_fun(tc_fun(tc_prod(t_a,t_b),tc_bool),tc_bool),t_a),c_in(tc_prod(t_a,t_b)))),hAPP(c_COMBC(t_a,t_b,tc_prod(t_a,t_b)),c_Pair(t_a,t_b))))),v_r))))=hAPP(c_Relation_OImage(v_r,t_a,t_b),v_s))).
% 1.01/1.16 cnf(i_0_1524, plain, (hAPP(hAPP(c_COMBB(tc_fun(X3,tc_bool),tc_bool,tc_fun(X3,X1)),c_All(X3)),hAPP(hAPP(c_COMBB(tc_fun(X3,tc_fun(X3,tc_bool)),tc_fun(X3,tc_bool),tc_fun(X3,X1)),hAPP(c_COMBB(tc_fun(X3,tc_bool),tc_bool,X3),c_All(X3))),hAPP(hAPP(c_COMBB(tc_fun(X3,tc_fun(X3,tc_bool)),tc_fun(X3,tc_fun(X3,tc_bool)),tc_fun(X3,X1)),hAPP(c_COMBS(X3,tc_fun(X3,tc_bool),tc_fun(X3,tc_bool)),hAPP(hAPP(c_COMBB(tc_fun(X3,tc_fun(tc_bool,tc_bool)),tc_fun(tc_fun(X3,tc_bool),tc_fun(X3,tc_bool)),X3),c_COMBS(X3,tc_bool,tc_bool)),hAPP(hAPP(c_COMBB(tc_fun(X3,tc_bool),tc_fun(X3,tc_fun(tc_bool,tc_bool)),X3),hAPP(c_COMBB(tc_bool,tc_fun(tc_bool,tc_bool),X3),c_implies)),X2)))),hAPP(hAPP(c_COMBS(tc_fun(X3,X1),tc_fun(X3,X1),tc_fun(X3,tc_fun(X3,tc_bool))),hAPP(hAPP(c_COMBB(tc_fun(X3,tc_fun(tc_fun(X3,X1),tc_fun(X3,tc_bool))),tc_fun(tc_fun(X3,X1),tc_fun(X3,tc_fun(X3,tc_bool))),tc_fun(X3,X1)),c_COMBC(X3,tc_fun(X3,X1),tc_fun(X3,tc_bool))),hAPP(hAPP(c_COMBB(tc_fun(X3,tc_fun(X1,tc_bool)),tc_fun(X3,tc_fun(tc_fun(X3,X1),tc_fun(X3,tc_bool))),tc_fun(X3,X1)),hAPP(c_COMBB(tc_fun(X1,tc_bool),tc_fun(tc_fun(X3,X1),tc_fun(X3,tc_bool)),X3),c_COMBB(X1,tc_bool,X3))),hAPP(c_COMBB(X1,tc_fun(X1,tc_bool),X3),c_HOL_Oord__class_Oless(X1))))),c_COMBI(tc_fun(X3,X1))))))=c_Orderings_Oorder_Ostrict__mono(X2,X3,X1)|~class_Orderings_Oorder(X1)|~c_Orderings_Oorder(X4,X2,X3))).
% 1.01/1.16 cnf(i_0_1525, plain, (hAPP(hAPP(c_COMBB(tc_fun(X3,tc_bool),tc_bool,tc_fun(X3,X1)),c_All(X3)),hAPP(hAPP(c_COMBB(tc_fun(X3,tc_fun(X3,tc_bool)),tc_fun(X3,tc_bool),tc_fun(X3,X1)),hAPP(c_COMBB(tc_fun(X3,tc_bool),tc_bool,X3),c_All(X3))),hAPP(hAPP(c_COMBB(tc_fun(X3,tc_fun(X3,tc_bool)),tc_fun(X3,tc_fun(X3,tc_bool)),tc_fun(X3,X1)),hAPP(c_COMBS(X3,tc_fun(X3,tc_bool),tc_fun(X3,tc_bool)),hAPP(hAPP(c_COMBB(tc_fun(X3,tc_fun(tc_bool,tc_bool)),tc_fun(tc_fun(X3,tc_bool),tc_fun(X3,tc_bool)),X3),c_COMBS(X3,tc_bool,tc_bool)),hAPP(hAPP(c_COMBB(tc_fun(X3,tc_bool),tc_fun(X3,tc_fun(tc_bool,tc_bool)),X3),hAPP(c_COMBB(tc_bool,tc_fun(tc_bool,tc_bool),X3),c_implies)),X2)))),hAPP(hAPP(c_COMBS(tc_fun(X3,X1),tc_fun(X3,X1),tc_fun(X3,tc_fun(X3,tc_bool))),hAPP(hAPP(c_COMBB(tc_fun(X3,tc_fun(tc_fun(X3,X1),tc_fun(X3,tc_bool))),tc_fun(tc_fun(X3,X1),tc_fun(X3,tc_fun(X3,tc_bool))),tc_fun(X3,X1)),c_COMBC(X3,tc_fun(X3,X1),tc_fun(X3,tc_bool))),hAPP(hAPP(c_COMBB(tc_fun(X3,tc_fun(X1,tc_bool)),tc_fun(X3,tc_fun(tc_fun(X3,X1),tc_fun(X3,tc_bool))),tc_fun(X3,X1)),hAPP(c_COMBB(tc_fun(X1,tc_bool),tc_fun(tc_fun(X3,X1),tc_fun(X3,tc_bool)),X3),c_COMBB(X1,tc_bool,X3))),hAPP(c_COMBB(X1,tc_fun(X1,tc_bool),X3),c_lessequals(X1))))),c_COMBI(tc_fun(X3,X1))))))=c_Orderings_Oorder_Omono(X2,X3,X1)|~class_Orderings_Oorder(X1)|~c_Orderings_Oorder(X2,X4,X3))).
% 1.01/1.16 cnf(i_0_1507, plain, (c_Finite__Set_Ofinite(hAPP(c_Collect(X1),hAPP(hAPP(c_COMBB(tc_fun(X2,tc_bool),tc_bool,X1),c_Ex(X2)),hAPP(hAPP(c_COMBC(X1,tc_fun(X2,tc_bool),tc_fun(X2,tc_bool)),hAPP(hAPP(c_COMBB(tc_fun(X2,tc_fun(tc_bool,tc_bool)),tc_fun(tc_fun(X2,tc_bool),tc_fun(X2,tc_bool)),X1),c_COMBS(X2,tc_bool,tc_bool)),hAPP(hAPP(c_COMBB(tc_fun(X2,tc_bool),tc_fun(X2,tc_fun(tc_bool,tc_bool)),X1),hAPP(c_COMBB(tc_bool,tc_fun(tc_bool,tc_bool),X2),c_and)),hAPP(hAPP(c_COMBC(X1,tc_fun(X2,X1),tc_fun(X2,tc_bool)),hAPP(hAPP(c_COMBB(tc_fun(X1,tc_bool),tc_fun(tc_fun(X2,X1),tc_fun(X2,tc_bool)),X1),c_COMBB(X1,tc_bool,X2)),c_fequal(X1))),X3)))),X4))),X1)|~c_Finite__Set_Ofinite(hAPP(c_Collect(X2),X4),X2))).
% 1.01/1.16 cnf(i_0_1439, plain, (X4=c_Orderings_Obot__class_Obot(tc_fun(X5,tc_bool))|c_Finite__Set_Olinorder_OMax(X3,hAPP(c_Collect(X5),hAPP(hAPP(c_COMBB(tc_fun(X5,tc_bool),tc_bool,X5),c_Ex(X5)),hAPP(hAPP(c_COMBC(X5,tc_fun(X5,tc_bool),tc_fun(X5,tc_bool)),hAPP(hAPP(c_COMBB(tc_fun(X5,tc_fun(tc_bool,tc_bool)),tc_fun(tc_fun(X5,tc_bool),tc_fun(X5,tc_bool)),X5),c_COMBS(X5,tc_bool,tc_bool)),hAPP(hAPP(c_COMBB(tc_fun(X5,tc_bool),tc_fun(X5,tc_fun(tc_bool,tc_bool)),X5),hAPP(c_COMBB(tc_bool,tc_fun(tc_bool,tc_bool),X5),c_and)),hAPP(hAPP(c_COMBC(X5,tc_fun(X5,X5),tc_fun(X5,tc_bool)),hAPP(hAPP(c_COMBB(tc_fun(X5,tc_bool),tc_fun(tc_fun(X5,X5),tc_fun(X5,tc_bool)),X5),c_COMBB(X5,tc_bool,X5)),c_fequal(X5))),hAPP(X1,X2))))),hAPP(hAPP(c_COMBC(X5,tc_fun(X5,tc_bool),tc_bool),c_in(X5)),X4)))),X5)=hAPP(hAPP(X1,X2),c_Finite__Set_Olinorder_OMax(X3,X4,X5))|~c_Finite__Set_Ofinite(X4,X5)|~c_OrderedGroup_Oordered__ab__semigroup__add(X1,X3,X6,X5))).
% 1.01/1.16 cnf(i_0_1440, plain, (X4=c_Orderings_Obot__class_Obot(tc_fun(X5,tc_bool))|c_Finite__Set_Olinorder_OMin(X3,hAPP(c_Collect(X5),hAPP(hAPP(c_COMBB(tc_fun(X5,tc_bool),tc_bool,X5),c_Ex(X5)),hAPP(hAPP(c_COMBC(X5,tc_fun(X5,tc_bool),tc_fun(X5,tc_bool)),hAPP(hAPP(c_COMBB(tc_fun(X5,tc_fun(tc_bool,tc_bool)),tc_fun(tc_fun(X5,tc_bool),tc_fun(X5,tc_bool)),X5),c_COMBS(X5,tc_bool,tc_bool)),hAPP(hAPP(c_COMBB(tc_fun(X5,tc_bool),tc_fun(X5,tc_fun(tc_bool,tc_bool)),X5),hAPP(c_COMBB(tc_bool,tc_fun(tc_bool,tc_bool),X5),c_and)),hAPP(hAPP(c_COMBC(X5,tc_fun(X5,X5),tc_fun(X5,tc_bool)),hAPP(hAPP(c_COMBB(tc_fun(X5,tc_bool),tc_fun(tc_fun(X5,X5),tc_fun(X5,tc_bool)),X5),c_COMBB(X5,tc_bool,X5)),c_fequal(X5))),hAPP(X1,X2))))),hAPP(hAPP(c_COMBC(X5,tc_fun(X5,tc_bool),tc_bool),c_in(X5)),X4)))),X5)=hAPP(hAPP(X1,X2),c_Finite__Set_Olinorder_OMin(X3,X4,X5))|~c_Finite__Set_Ofinite(X4,X5)|~c_OrderedGroup_Oordered__ab__semigroup__add(X1,X3,X6,X5))).
% 1.01/1.16 cnf(i_0_1336, plain, (X3=c_Orderings_Obot__class_Obot(tc_fun(X1,tc_bool))|c_Finite__Set_Olattice__class_OSup__fin(hAPP(c_Collect(X1),hAPP(hAPP(c_COMBB(tc_fun(X1,tc_bool),tc_bool,X1),c_Ex(X1)),hAPP(hAPP(c_COMBC(X1,tc_fun(X1,tc_bool),tc_fun(X1,tc_bool)),hAPP(hAPP(c_COMBB(tc_fun(X1,tc_fun(tc_bool,tc_bool)),tc_fun(tc_fun(X1,tc_bool),tc_fun(X1,tc_bool)),X1),c_COMBS(X1,tc_bool,tc_bool)),hAPP(hAPP(c_COMBB(tc_fun(X1,tc_bool),tc_fun(X1,tc_fun(tc_bool,tc_bool)),X1),hAPP(c_COMBB(tc_bool,tc_fun(tc_bool,tc_bool),X1),c_and)),hAPP(hAPP(c_COMBC(X1,tc_fun(X1,X1),tc_fun(X1,tc_bool)),hAPP(hAPP(c_COMBB(tc_fun(X1,tc_bool),tc_fun(tc_fun(X1,X1),tc_fun(X1,tc_bool)),X1),c_COMBB(X1,tc_bool,X1)),c_fequal(X1))),hAPP(c_Lattices_Olower__semilattice__class_Oinf(X1),X2))))),hAPP(hAPP(c_COMBC(X1,tc_fun(X1,tc_bool),tc_bool),c_in(X1)),X3)))),X1)=hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(X1),X2),c_Finite__Set_Olattice__class_OSup__fin(X3,X1))|~class_Lattices_Odistrib__lattice(X1)|~c_Finite__Set_Ofinite(X3,X1))).
% 1.01/1.16 cnf(i_0_1337, plain, (X3=c_Orderings_Obot__class_Obot(tc_fun(X1,tc_bool))|c_Finite__Set_Olattice__class_OInf__fin(hAPP(c_Collect(X1),hAPP(hAPP(c_COMBB(tc_fun(X1,tc_bool),tc_bool,X1),c_Ex(X1)),hAPP(hAPP(c_COMBC(X1,tc_fun(X1,tc_bool),tc_fun(X1,tc_bool)),hAPP(hAPP(c_COMBB(tc_fun(X1,tc_fun(tc_bool,tc_bool)),tc_fun(tc_fun(X1,tc_bool),tc_fun(X1,tc_bool)),X1),c_COMBS(X1,tc_bool,tc_bool)),hAPP(hAPP(c_COMBB(tc_fun(X1,tc_bool),tc_fun(X1,tc_fun(tc_bool,tc_bool)),X1),hAPP(c_COMBB(tc_bool,tc_fun(tc_bool,tc_bool),X1),c_and)),hAPP(hAPP(c_COMBC(X1,tc_fun(X1,X1),tc_fun(X1,tc_bool)),hAPP(hAPP(c_COMBB(tc_fun(X1,tc_bool),tc_fun(tc_fun(X1,X1),tc_fun(X1,tc_bool)),X1),c_COMBB(X1,tc_bool,X1)),c_fequal(X1))),hAPP(c_Lattices_Oupper__semilattice__class_Osup(X1),X2))))),hAPP(hAPP(c_COMBC(X1,tc_fun(X1,tc_bool),tc_bool),c_in(X1)),X3)))),X1)=hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(X1),X2),c_Finite__Set_Olattice__class_OInf__fin(X3,X1))|~class_Lattices_Odistrib__lattice(X1)|~c_Finite__Set_Ofinite(X3,X1))).
% 1.01/1.16 cnf(i_0_1335, plain, (X4=c_Orderings_Obot__class_Obot(tc_fun(X5,tc_bool))|c_Finite__Set_Olattice_OInf__fin(X3,hAPP(c_Collect(X5),hAPP(hAPP(c_COMBB(tc_fun(X5,tc_bool),tc_bool,X5),c_Ex(X5)),hAPP(hAPP(c_COMBC(X5,tc_fun(X5,tc_bool),tc_fun(X5,tc_bool)),hAPP(hAPP(c_COMBB(tc_fun(X5,tc_fun(tc_bool,tc_bool)),tc_fun(tc_fun(X5,tc_bool),tc_fun(X5,tc_bool)),X5),c_COMBS(X5,tc_bool,tc_bool)),hAPP(hAPP(c_COMBB(tc_fun(X5,tc_bool),tc_fun(X5,tc_fun(tc_bool,tc_bool)),X5),hAPP(c_COMBB(tc_bool,tc_fun(tc_bool,tc_bool),X5),c_and)),hAPP(hAPP(c_COMBC(X5,tc_fun(X5,X5),tc_fun(X5,tc_bool)),hAPP(hAPP(c_COMBB(tc_fun(X5,tc_bool),tc_fun(tc_fun(X5,X5),tc_fun(X5,tc_bool)),X5),c_COMBB(X5,tc_bool,X5)),c_fequal(X5))),hAPP(X1,X2))))),hAPP(hAPP(c_COMBC(X5,tc_fun(X5,tc_bool),tc_bool),c_in(X5)),X4)))),X5)=hAPP(hAPP(X1,X2),c_Finite__Set_Olattice_OInf__fin(X3,X4,X5))|~c_Finite__Set_Ofinite(X4,X5)|~c_Lattices_Odistrib__lattice(X6,X7,X3,X1,X5))).
% 1.01/1.16 cnf(i_0_1338, plain, (X4=c_Orderings_Obot__class_Obot(tc_fun(X5,tc_bool))|c_Finite__Set_Olattice_OSup__fin(X3,hAPP(c_Collect(X5),hAPP(hAPP(c_COMBB(tc_fun(X5,tc_bool),tc_bool,X5),c_Ex(X5)),hAPP(hAPP(c_COMBC(X5,tc_fun(X5,tc_bool),tc_fun(X5,tc_bool)),hAPP(hAPP(c_COMBB(tc_fun(X5,tc_fun(tc_bool,tc_bool)),tc_fun(tc_fun(X5,tc_bool),tc_fun(X5,tc_bool)),X5),c_COMBS(X5,tc_bool,tc_bool)),hAPP(hAPP(c_COMBB(tc_fun(X5,tc_bool),tc_fun(X5,tc_fun(tc_bool,tc_bool)),X5),hAPP(c_COMBB(tc_bool,tc_fun(tc_bool,tc_bool),X5),c_and)),hAPP(hAPP(c_COMBC(X5,tc_fun(X5,X5),tc_fun(X5,tc_bool)),hAPP(hAPP(c_COMBB(tc_fun(X5,tc_bool),tc_fun(tc_fun(X5,X5),tc_fun(X5,tc_bool)),X5),c_COMBB(X5,tc_bool,X5)),c_fequal(X5))),hAPP(X1,X2))))),hAPP(hAPP(c_COMBC(X5,tc_fun(X5,tc_bool),tc_bool),c_in(X5)),X4)))),X5)=hAPP(hAPP(X1,X2),c_Finite__Set_Olattice_OSup__fin(X3,X4,X5))|~c_Finite__Set_Ofinite(X4,X5)|~c_Lattices_Odistrib__lattice(X6,X7,X1,X3,X5))).
% 1.01/1.16 cnf(i_0_1390, plain, (c_Complete__Lattice_Ocomplete__lattice(c_Complete__Lattice_OSup__class_OSup(X1),c_Complete__Lattice_OInf__class_OInf(X1),hAPP(c_COMBC(X1,X1,tc_bool),c_lessequals(X1)),hAPP(c_COMBC(X1,X1,tc_bool),c_HOL_Oord__class_Oless(X1)),c_Lattices_Oupper__semilattice__class_Osup(X1),c_Lattices_Olower__semilattice__class_Oinf(X1),c_Orderings_Otop__class_Otop(X1),c_Orderings_Obot__class_Obot(X1),X1)|~class_Complete__Lattice_Ocomplete__lattice(X1))).
% 1.01/1.16 cnf(i_0_1339, plain, (hAPP(X1,X2)=X3|~c_Lattices_Oboolean__algebra(X4,X1,X5,X6,X7,X8,X3,X2,X9))).
% 1.01/1.16 cnf(i_0_1340, plain, (hAPP(X1,X2)=X3|~c_Lattices_Oboolean__algebra(X4,X1,X5,X6,X7,X8,X2,X3,X9))).
% 1.01/1.16 cnf(i_0_1237, plain, (hAPP(X1,hAPP(X1,X2))=X2|~c_Lattices_Oboolean__algebra(X3,X1,X4,X5,X6,X7,X8,X9,X10))).
% 1.01/1.16 cnf(i_0_937, plain, (X2=X3|hAPP(X1,X2)!=hAPP(X1,X3)|~c_Lattices_Oboolean__algebra(X4,X1,X5,X6,X7,X8,X9,X10,X11))).
% 1.01/1.16 cnf(i_0_1217, plain, (hAPP(X1,c_Orderings_Obot__class_Obot(tc_fun(X2,tc_bool)))=X3|~c_Complete__Lattice_Ocomplete__lattice(X4,X1,X5,X6,X7,X8,X3,X9,X2))).
% 1.01/1.16 cnf(i_0_1218, plain, (hAPP(X1,c_Orderings_Obot__class_Obot(tc_fun(X2,tc_bool)))=X3|~c_Complete__Lattice_Ocomplete__lattice(X1,X4,X5,X6,X7,X8,X9,X3,X2))).
% 1.01/1.16 cnf(i_0_899, plain, (hAPP(X1,c_Orderings_Otop__class_Otop(tc_fun(X2,tc_bool)))=X3|~c_Complete__Lattice_Ocomplete__lattice(X4,X1,X5,X6,X7,X8,X9,X3,X2))).
% 1.01/1.16 cnf(i_0_898, plain, (hAPP(X1,c_Orderings_Otop__class_Otop(tc_fun(X2,tc_bool)))=X3|~c_Complete__Lattice_Ocomplete__lattice(X1,X4,X5,X6,X7,X8,X3,X9,X2))).
% 1.01/1.16 cnf(i_0_1233, plain, (hAPP(hAPP(X1,X2),hAPP(X3,X2))=X4|~c_Lattices_Oboolean__algebra(X5,X3,X6,X7,X8,X1,X9,X4,X10))).
% 1.01/1.16 cnf(i_0_1234, plain, (hAPP(hAPP(X1,X2),hAPP(X3,X2))=X4|~c_Lattices_Oboolean__algebra(X5,X3,X6,X7,X1,X8,X4,X9,X10))).
% 1.01/1.16 cnf(i_0_1235, plain, (hAPP(hAPP(X1,hAPP(X2,X3)),X3)=X4|~c_Lattices_Oboolean__algebra(X5,X2,X6,X7,X8,X1,X9,X4,X10))).
% 1.01/1.16 cnf(i_0_1236, plain, (hAPP(hAPP(X1,hAPP(X2,X3)),X3)=X4|~c_Lattices_Oboolean__algebra(X5,X2,X6,X7,X1,X8,X4,X9,X10))).
% 1.01/1.16 cnf(i_0_1341, plain, (hAPP(hAPP(X1,X2),X3)=hAPP(hAPP(X4,X2),hAPP(X5,X3))|~c_Lattices_Oboolean__algebra(X1,X5,X6,X7,X4,X8,X9,X10,X11))).
% 1.01/1.16 cnf(i_0_871, plain, (X2=c_Orderings_Obot__class_Obot(tc_fun(X3,tc_bool))|c_Finite__Set_Olattice_OInf__fin(X1,X2,X3)=hAPP(X4,X2)|~c_Finite__Set_Ofinite(X2,X3)|~c_Complete__Lattice_Ocomplete__lattice(X4,X5,X6,X7,X1,X8,X9,X10,X3))).
% 1.01/1.16 cnf(i_0_1144, plain, (X2=c_Orderings_Obot__class_Obot(tc_fun(X3,tc_bool))|c_Finite__Set_Olattice_OSup__fin(X1,X2,X3)=hAPP(X4,X2)|~c_Finite__Set_Ofinite(X2,X3)|~c_Complete__Lattice_Ocomplete__lattice(X5,X4,X6,X7,X8,X1,X9,X10,X3))).
% 1.01/1.16 cnf(i_0_1164, plain, (hAPP(X1,hAPP(hAPP(c_Set_Oinsert(X2),X3),X4))=hAPP(hAPP(X5,X3),hAPP(X1,X4))|~c_Complete__Lattice_Ocomplete__lattice(X6,X1,X7,X8,X9,X5,X10,X11,X2))).
% 1.01/1.16 cnf(i_0_1165, plain, (hAPP(X1,hAPP(hAPP(c_Set_Oinsert(X2),X3),X4))=hAPP(hAPP(X5,X3),hAPP(X1,X4))|~c_Complete__Lattice_Ocomplete__lattice(X1,X6,X7,X8,X5,X9,X10,X11,X2))).
% 1.01/1.16 cnf(i_0_1343, plain, (hAPP(X1,hAPP(hAPP(X2,X3),X4))=hAPP(hAPP(X5,hAPP(X1,X3)),hAPP(X1,X4))|~c_Lattices_Oboolean__algebra(X6,X1,X7,X8,X5,X2,X9,X10,X11))).
% 1.01/1.16 cnf(i_0_1342, plain, (hAPP(X1,hAPP(hAPP(X2,X3),X4))=hAPP(hAPP(X5,hAPP(X1,X3)),hAPP(X1,X4))|~c_Lattices_Oboolean__algebra(X6,X1,X7,X8,X2,X5,X9,X10,X11))).
% 1.01/1.16 cnf(i_0_1377, plain, (hAPP(X1,hAPP(hAPP(c_Set_Oinsert(X2),X3),c_Orderings_Obot__class_Obot(tc_fun(X2,tc_bool))))=X3|~c_Complete__Lattice_Ocomplete__lattice(X4,X1,X5,X6,X7,X8,X9,X10,X2))).
% 1.01/1.16 cnf(i_0_1378, plain, (hAPP(X1,hAPP(hAPP(c_Set_Oinsert(X2),X3),c_Orderings_Obot__class_Obot(tc_fun(X2,tc_bool))))=X3|~c_Complete__Lattice_Ocomplete__lattice(X1,X4,X5,X6,X7,X8,X9,X10,X2))).
% 1.01/1.16 cnf(i_0_1238, plain, (hAPP(X2,X7)=X8|~c_Lattices_Oboolean__algebra(X1,X2,X3,X4,X5,X6,hAPP(hAPP(X5,X7),X8),hAPP(hAPP(X6,X7),X8),X9))).
% 1.01/1.16 cnf(i_0_1249, plain, (hBOOL(hAPP(hAPP(X1,X2),hAPP(X3,X4)))|~hBOOL(hAPP(hAPP(c_in(X5),X2),X4))|~c_Complete__Lattice_Ocomplete__lattice(X6,X3,X1,X7,X8,X9,X10,X11,X5))).
% 1.01/1.16 cnf(i_0_1248, plain, (hBOOL(hAPP(hAPP(X1,hAPP(X2,X3)),X4))|~hBOOL(hAPP(hAPP(c_in(X5),X4),X3))|~c_Complete__Lattice_Ocomplete__lattice(X2,X6,X1,X7,X8,X9,X10,X11,X5))).
% 1.01/1.16 cnf(i_0_816, plain, (hAPP(X1,hAPP(hAPP(c_Set_Oinsert(X2),X3),hAPP(hAPP(c_Set_Oinsert(X2),X4),c_Orderings_Obot__class_Obot(tc_fun(X2,tc_bool)))))=hAPP(hAPP(X5,X3),X4)|~c_Complete__Lattice_Ocomplete__lattice(X6,X1,X7,X8,X9,X5,X10,X11,X2))).
% 1.01/1.16 cnf(i_0_817, plain, (hAPP(X1,hAPP(hAPP(c_Set_Oinsert(X2),X3),hAPP(hAPP(c_Set_Oinsert(X2),X4),c_Orderings_Obot__class_Obot(tc_fun(X2,tc_bool)))))=hAPP(hAPP(X5,X3),X4)|~c_Complete__Lattice_Ocomplete__lattice(X1,X6,X7,X8,X5,X9,X10,X11,X2))).
% 1.01/1.16 cnf(i_0_910, plain, (hAPP(X1,c_List_Oset(X2,X3))=c_List_Ofoldl(X4,X5,X2,X3,X3)|~c_Complete__Lattice_Ocomplete__lattice(X6,X1,X7,X8,X9,X4,X5,X10,X3))).
% 1.01/1.16 cnf(i_0_911, plain, (hAPP(X1,c_List_Oset(X2,X3))=c_List_Ofoldl(X4,X5,X2,X3,X3)|~c_Complete__Lattice_Ocomplete__lattice(X1,X6,X7,X8,X4,X9,X10,X5,X3))).
% 1.01/1.16 cnf(i_0_1491, plain, (hAPP(X1,X2)=hAPP(X3,hAPP(c_Collect(X4),hAPP(hAPP(c_COMBB(tc_fun(X4,tc_bool),tc_bool,X4),c_All(X4)),hAPP(hAPP(c_COMBB(tc_fun(X4,tc_bool),tc_fun(X4,tc_bool),X4),hAPP(c_COMBS(X4,tc_bool,tc_bool),hAPP(hAPP(c_COMBB(tc_bool,tc_fun(tc_bool,tc_bool),X4),c_implies),hAPP(hAPP(c_COMBC(X4,tc_fun(X4,tc_bool),tc_bool),c_in(X4)),X2)))),X5))))|~c_Complete__Lattice_Ocomplete__lattice(X1,X3,X5,X6,X7,X8,X9,X10,X4))).
% 1.01/1.16 cnf(i_0_1498, plain, (hAPP(X1,X2)=hAPP(X3,hAPP(c_Collect(X4),hAPP(hAPP(c_COMBB(tc_fun(X4,tc_bool),tc_bool,X4),c_All(X4)),hAPP(hAPP(c_COMBB(tc_fun(X4,tc_bool),tc_fun(X4,tc_bool),X4),hAPP(c_COMBS(X4,tc_bool,tc_bool),hAPP(hAPP(c_COMBB(tc_bool,tc_fun(tc_bool,tc_bool),X4),c_implies),hAPP(hAPP(c_COMBC(X4,tc_fun(X4,tc_bool),tc_bool),c_in(X4)),X2)))),hAPP(c_COMBC(X4,X4,tc_bool),X5)))))|~c_Complete__Lattice_Ocomplete__lattice(X3,X1,X5,X6,X7,X8,X9,X10,X4))).
% 1.01/1.16 cnf(i_0_1328, plain, (c_Complete__Lattice_Ocomplete__lattice(X1,X2,hAPP(c_COMBC(X3,X3,tc_bool),X4),hAPP(c_COMBC(X3,X3,tc_bool),X5),X6,X7,X8,X9,X3)|~c_Complete__Lattice_Ocomplete__lattice(X2,X1,X4,X5,X7,X6,X9,X8,X3))).
% 1.01/1.16 cnf(i_0_1527, plain, (c_Lattices_Oboolean__algebra(hAPP(hAPP(c_COMBC(X1,tc_fun(X1,X1),tc_fun(X1,X1)),hAPP(hAPP(c_COMBB(tc_fun(X1,X1),tc_fun(tc_fun(X1,X1),tc_fun(X1,X1)),X1),c_COMBB(X1,X1,X1)),X2)),X3),X3,hAPP(c_COMBC(X1,X1,tc_bool),X4),hAPP(c_COMBC(X1,X1,tc_bool),X5),X2,X6,X7,X8,X1)|~c_Lattices_Oboolean__algebra(X9,X3,X4,X5,X6,X2,X8,X7,X1))).
% 1.01/1.16 cnf(i_0_836, plain, (hAPP(c_Collect(tc_prod(t_a,t_c)),c_split(hAPP(hAPP(c_COMBB(tc_fun(t_c,tc_fun(t_b,tc_bool)),tc_fun(t_c,tc_bool),t_a),hAPP(c_COMBB(tc_fun(t_b,tc_bool),tc_bool,t_c),c_Ex(t_b))),hAPP(hAPP(c_COMBC(t_a,tc_fun(t_c,tc_fun(t_b,tc_bool)),tc_fun(t_c,tc_fun(t_b,tc_bool))),hAPP(hAPP(c_COMBB(tc_fun(tc_fun(t_b,tc_bool),tc_fun(t_b,tc_bool)),tc_fun(tc_fun(t_c,tc_fun(t_b,tc_bool)),tc_fun(t_c,tc_fun(t_b,tc_bool))),t_a),c_COMBB(tc_fun(t_b,tc_bool),tc_fun(t_b,tc_bool),t_c)),hAPP(hAPP(c_COMBB(tc_fun(t_b,tc_fun(tc_bool,tc_bool)),tc_fun(tc_fun(t_b,tc_bool),tc_fun(t_b,tc_bool)),t_a),c_COMBS(t_b,tc_bool,tc_bool)),hAPP(hAPP(c_COMBB(tc_fun(t_b,tc_bool),tc_fun(t_b,tc_fun(tc_bool,tc_bool)),t_a),hAPP(c_COMBB(tc_bool,tc_fun(tc_bool,tc_bool),t_b),c_and)),hAPP(hAPP(c_COMBC(t_a,tc_fun(tc_prod(t_a,t_b),tc_bool),tc_fun(t_b,tc_bool)),hAPP(hAPP(c_COMBB(tc_fun(t_b,tc_fun(tc_fun(tc_prod(t_a,t_b),tc_bool),tc_bool)),tc_fun(tc_fun(tc_prod(t_a,t_b),tc_bool),tc_fun(t_b,tc_bool)),t_a),c_COMBC(t_b,tc_fun(tc_prod(t_a,t_b),tc_bool),tc_bool)),hAPP(hAPP(c_COMBB(tc_fun(t_b,tc_prod(t_a,t_b)),tc_fun(t_b,tc_fun(tc_fun(tc_prod(t_a,t_b),tc_bool),tc_bool)),t_a),hAPP(c_COMBB(tc_prod(t_a,t_b),tc_fun(tc_fun(tc_prod(t_a,t_b),tc_bool),tc_bool),t_b),c_in(tc_prod(t_a,t_b)))),c_Pair(t_a,t_b)))),v_r))))),hAPP(hAPP(c_COMBC(t_c,tc_fun(tc_prod(t_b,t_c),tc_bool),tc_fun(t_b,tc_bool)),hAPP(hAPP(c_COMBB(tc_fun(t_b,tc_fun(tc_fun(tc_prod(t_b,t_c),tc_bool),tc_bool)),tc_fun(tc_fun(tc_prod(t_b,t_c),tc_bool),tc_fun(t_b,tc_bool)),t_c),c_COMBC(t_b,tc_fun(tc_prod(t_b,t_c),tc_bool),tc_bool)),hAPP(hAPP(c_COMBB(tc_fun(t_b,tc_prod(t_b,t_c)),tc_fun(t_b,tc_fun(tc_fun(tc_prod(t_b,t_c),tc_bool),tc_bool)),t_c),hAPP(c_COMBB(tc_prod(t_b,t_c),tc_fun(tc_fun(tc_prod(t_b,t_c),tc_bool),tc_bool),t_b),c_in(tc_prod(t_b,t_c)))),hAPP(c_COMBC(t_b,t_c,tc_prod(t_b,t_c)),c_Pair(t_b,t_c))))),v_s))),t_a,t_c,tc_bool))=c_Relation_Orel__comp(v_r,v_s,t_a,t_b,t_c))).
% 1.01/1.16 cnf(i_0_1515, plain, (X5=c_Orderings_Obot__class_Obot(tc_fun(X4,tc_bool))|X3=c_Orderings_Obot__class_Obot(tc_fun(X4,tc_bool))|hAPP(hAPP(X1,c_Finite__Set_Olattice_OInf__fin(X2,X3,X4)),c_Finite__Set_Olattice_OInf__fin(X2,X5,X4))=c_Finite__Set_Olattice_OInf__fin(X2,hAPP(c_Collect(X4),hAPP(hAPP(c_COMBB(tc_fun(X4,tc_bool),tc_bool,X4),c_Ex(X4)),hAPP(hAPP(c_COMBB(tc_fun(X4,tc_fun(X4,tc_bool)),tc_fun(X4,tc_bool),X4),hAPP(c_COMBB(tc_fun(X4,tc_bool),tc_bool,X4),c_Ex(X4))),hAPP(hAPP(c_COMBC(X4,tc_fun(X4,tc_fun(X4,tc_bool)),tc_fun(X4,tc_fun(X4,tc_bool))),hAPP(hAPP(c_COMBB(tc_fun(X4,tc_fun(tc_fun(X4,tc_bool),tc_fun(X4,tc_bool))),tc_fun(tc_fun(X4,tc_fun(X4,tc_bool)),tc_fun(X4,tc_fun(X4,tc_bool))),X4),c_COMBS(X4,tc_fun(X4,tc_bool),tc_fun(X4,tc_bool))),hAPP(hAPP(c_COMBB(tc_fun(X4,tc_fun(X4,tc_fun(tc_bool,tc_bool))),tc_fun(X4,tc_fun(tc_fun(X4,tc_bool),tc_fun(X4,tc_bool))),X4),hAPP(c_COMBB(tc_fun(X4,tc_fun(tc_bool,tc_bool)),tc_fun(tc_fun(X4,tc_bool),tc_fun(X4,tc_bool)),X4),c_COMBS(X4,tc_bool,tc_bool))),hAPP(hAPP(c_COMBB(tc_fun(X4,tc_fun(X4,tc_bool)),tc_fun(X4,tc_fun(X4,tc_fun(tc_bool,tc_bool))),X4),hAPP(c_COMBB(tc_fun(X4,tc_bool),tc_fun(X4,tc_fun(tc_bool,tc_bool)),X4),hAPP(c_COMBB(tc_bool,tc_fun(tc_bool,tc_bool),X4),c_and))),hAPP(hAPP(c_COMBC(X4,tc_fun(X4,tc_fun(X4,X4)),tc_fun(X4,tc_fun(X4,tc_bool))),hAPP(hAPP(c_COMBB(tc_fun(tc_fun(X4,X4),tc_fun(X4,tc_bool)),tc_fun(tc_fun(X4,tc_fun(X4,X4)),tc_fun(X4,tc_fun(X4,tc_bool))),X4),c_COMBB(tc_fun(X4,X4),tc_fun(X4,tc_bool),X4)),hAPP(hAPP(c_COMBB(tc_fun(X4,tc_bool),tc_fun(tc_fun(X4,X4),tc_fun(X4,tc_bool)),X4),c_COMBB(X4,tc_bool,X4)),c_fequal(X4)))),X1))))),hAPP(hAPP(c_COMBC(X4,tc_fun(X4,tc_bool),tc_fun(X4,tc_bool)),hAPP(hAPP(c_COMBB(tc_fun(tc_bool,tc_bool),tc_fun(tc_fun(X4,tc_bool),tc_fun(X4,tc_bool)),X4),c_COMBB(tc_bool,tc_bool,X4)),hAPP(hAPP(c_COMBB(tc_bool,tc_fun(tc_bool,tc_bool),X4),c_and),hAPP(hAPP(c_COMBC(X4,tc_fun(X4,tc_bool),tc_bool),c_in(X4)),X3)))),hAPP(hAPP(c_COMBC(X4,tc_fun(X4,tc_bool),tc_bool),c_in(X4)),X5)))))),X4)|~c_Finite__Set_Ofinite(X5,X4)|~c_Finite__Set_Ofinite(X3,X4)|~c_Lattices_Odistrib__lattice(X6,X7,X2,X1,X4))).
% 1.01/1.16 cnf(i_0_1514, plain, (X5=c_Orderings_Obot__class_Obot(tc_fun(X4,tc_bool))|X3=c_Orderings_Obot__class_Obot(tc_fun(X4,tc_bool))|hAPP(hAPP(X1,c_Finite__Set_Olattice_OSup__fin(X2,X3,X4)),c_Finite__Set_Olattice_OSup__fin(X2,X5,X4))=c_Finite__Set_Olattice_OSup__fin(X2,hAPP(c_Collect(X4),hAPP(hAPP(c_COMBB(tc_fun(X4,tc_bool),tc_bool,X4),c_Ex(X4)),hAPP(hAPP(c_COMBB(tc_fun(X4,tc_fun(X4,tc_bool)),tc_fun(X4,tc_bool),X4),hAPP(c_COMBB(tc_fun(X4,tc_bool),tc_bool,X4),c_Ex(X4))),hAPP(hAPP(c_COMBC(X4,tc_fun(X4,tc_fun(X4,tc_bool)),tc_fun(X4,tc_fun(X4,tc_bool))),hAPP(hAPP(c_COMBB(tc_fun(X4,tc_fun(tc_fun(X4,tc_bool),tc_fun(X4,tc_bool))),tc_fun(tc_fun(X4,tc_fun(X4,tc_bool)),tc_fun(X4,tc_fun(X4,tc_bool))),X4),c_COMBS(X4,tc_fun(X4,tc_bool),tc_fun(X4,tc_bool))),hAPP(hAPP(c_COMBB(tc_fun(X4,tc_fun(X4,tc_fun(tc_bool,tc_bool))),tc_fun(X4,tc_fun(tc_fun(X4,tc_bool),tc_fun(X4,tc_bool))),X4),hAPP(c_COMBB(tc_fun(X4,tc_fun(tc_bool,tc_bool)),tc_fun(tc_fun(X4,tc_bool),tc_fun(X4,tc_bool)),X4),c_COMBS(X4,tc_bool,tc_bool))),hAPP(hAPP(c_COMBB(tc_fun(X4,tc_fun(X4,tc_bool)),tc_fun(X4,tc_fun(X4,tc_fun(tc_bool,tc_bool))),X4),hAPP(c_COMBB(tc_fun(X4,tc_bool),tc_fun(X4,tc_fun(tc_bool,tc_bool)),X4),hAPP(c_COMBB(tc_bool,tc_fun(tc_bool,tc_bool),X4),c_and))),hAPP(hAPP(c_COMBC(X4,tc_fun(X4,tc_fun(X4,X4)),tc_fun(X4,tc_fun(X4,tc_bool))),hAPP(hAPP(c_COMBB(tc_fun(tc_fun(X4,X4),tc_fun(X4,tc_bool)),tc_fun(tc_fun(X4,tc_fun(X4,X4)),tc_fun(X4,tc_fun(X4,tc_bool))),X4),c_COMBB(tc_fun(X4,X4),tc_fun(X4,tc_bool),X4)),hAPP(hAPP(c_COMBB(tc_fun(X4,tc_bool),tc_fun(tc_fun(X4,X4),tc_fun(X4,tc_bool)),X4),c_COMBB(X4,tc_bool,X4)),c_fequal(X4)))),X1))))),hAPP(hAPP(c_COMBC(X4,tc_fun(X4,tc_bool),tc_fun(X4,tc_bool)),hAPP(hAPP(c_COMBB(tc_fun(tc_bool,tc_bool),tc_fun(tc_fun(X4,tc_bool),tc_fun(X4,tc_bool)),X4),c_COMBB(tc_bool,tc_bool,X4)),hAPP(hAPP(c_COMBB(tc_bool,tc_fun(tc_bool,tc_bool),X4),c_and),hAPP(hAPP(c_COMBC(X4,tc_fun(X4,tc_bool),tc_bool),c_in(X4)),X3)))),hAPP(hAPP(c_COMBC(X4,tc_fun(X4,tc_bool),tc_bool),c_in(X4)),X5)))))),X4)|~c_Finite__Set_Ofinite(X5,X4)|~c_Finite__Set_Ofinite(X3,X4)|~c_Lattices_Odistrib__lattice(X6,X7,X1,X2,X4))).
% 1.01/1.16 cnf(i_0_1517, plain, (X3=c_Orderings_Obot__class_Obot(tc_fun(X1,tc_bool))|X2=c_Orderings_Obot__class_Obot(tc_fun(X1,tc_bool))|c_Finite__Set_Olattice__class_OSup__fin(hAPP(c_Collect(X1),hAPP(hAPP(c_COMBB(tc_fun(X1,tc_bool),tc_bool,X1),c_Ex(X1)),hAPP(hAPP(c_COMBB(tc_fun(X1,tc_fun(X1,tc_bool)),tc_fun(X1,tc_bool),X1),hAPP(c_COMBB(tc_fun(X1,tc_bool),tc_bool,X1),c_Ex(X1))),hAPP(hAPP(c_COMBC(X1,tc_fun(X1,tc_fun(X1,tc_bool)),tc_fun(X1,tc_fun(X1,tc_bool))),hAPP(hAPP(c_COMBB(tc_fun(X1,tc_fun(tc_fun(X1,tc_bool),tc_fun(X1,tc_bool))),tc_fun(tc_fun(X1,tc_fun(X1,tc_bool)),tc_fun(X1,tc_fun(X1,tc_bool))),X1),c_COMBS(X1,tc_fun(X1,tc_bool),tc_fun(X1,tc_bool))),hAPP(hAPP(c_COMBB(tc_fun(X1,tc_fun(X1,tc_fun(tc_bool,tc_bool))),tc_fun(X1,tc_fun(tc_fun(X1,tc_bool),tc_fun(X1,tc_bool))),X1),hAPP(c_COMBB(tc_fun(X1,tc_fun(tc_bool,tc_bool)),tc_fun(tc_fun(X1,tc_bool),tc_fun(X1,tc_bool)),X1),c_COMBS(X1,tc_bool,tc_bool))),hAPP(hAPP(c_COMBB(tc_fun(X1,tc_fun(X1,tc_bool)),tc_fun(X1,tc_fun(X1,tc_fun(tc_bool,tc_bool))),X1),hAPP(c_COMBB(tc_fun(X1,tc_bool),tc_fun(X1,tc_fun(tc_bool,tc_bool)),X1),hAPP(c_COMBB(tc_bool,tc_fun(tc_bool,tc_bool),X1),c_and))),hAPP(hAPP(c_COMBC(X1,tc_fun(X1,tc_fun(X1,X1)),tc_fun(X1,tc_fun(X1,tc_bool))),hAPP(hAPP(c_COMBB(tc_fun(tc_fun(X1,X1),tc_fun(X1,tc_bool)),tc_fun(tc_fun(X1,tc_fun(X1,X1)),tc_fun(X1,tc_fun(X1,tc_bool))),X1),c_COMBB(tc_fun(X1,X1),tc_fun(X1,tc_bool),X1)),hAPP(hAPP(c_COMBB(tc_fun(X1,tc_bool),tc_fun(tc_fun(X1,X1),tc_fun(X1,tc_bool)),X1),c_COMBB(X1,tc_bool,X1)),c_fequal(X1)))),c_Lattices_Olower__semilattice__class_Oinf(X1)))))),hAPP(hAPP(c_COMBC(X1,tc_fun(X1,tc_bool),tc_fun(X1,tc_bool)),hAPP(hAPP(c_COMBB(tc_fun(tc_bool,tc_bool),tc_fun(tc_fun(X1,tc_bool),tc_fun(X1,tc_bool)),X1),c_COMBB(tc_bool,tc_bool,X1)),hAPP(hAPP(c_COMBB(tc_bool,tc_fun(tc_bool,tc_bool),X1),c_and),hAPP(hAPP(c_COMBC(X1,tc_fun(X1,tc_bool),tc_bool),c_in(X1)),X2)))),hAPP(hAPP(c_COMBC(X1,tc_fun(X1,tc_bool),tc_bool),c_in(X1)),X3)))))),X1)=hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(X1),c_Finite__Set_Olattice__class_OSup__fin(X2,X1)),c_Finite__Set_Olattice__class_OSup__fin(X3,X1))|~class_Lattices_Odistrib__lattice(X1)|~c_Finite__Set_Ofinite(X3,X1)|~c_Finite__Set_Ofinite(X2,X1))).
% 1.01/1.16 cnf(i_0_1516, plain, (X3=c_Orderings_Obot__class_Obot(tc_fun(X1,tc_bool))|X2=c_Orderings_Obot__class_Obot(tc_fun(X1,tc_bool))|c_Finite__Set_Olattice__class_OInf__fin(hAPP(c_Collect(X1),hAPP(hAPP(c_COMBB(tc_fun(X1,tc_bool),tc_bool,X1),c_Ex(X1)),hAPP(hAPP(c_COMBB(tc_fun(X1,tc_fun(X1,tc_bool)),tc_fun(X1,tc_bool),X1),hAPP(c_COMBB(tc_fun(X1,tc_bool),tc_bool,X1),c_Ex(X1))),hAPP(hAPP(c_COMBC(X1,tc_fun(X1,tc_fun(X1,tc_bool)),tc_fun(X1,tc_fun(X1,tc_bool))),hAPP(hAPP(c_COMBB(tc_fun(X1,tc_fun(tc_fun(X1,tc_bool),tc_fun(X1,tc_bool))),tc_fun(tc_fun(X1,tc_fun(X1,tc_bool)),tc_fun(X1,tc_fun(X1,tc_bool))),X1),c_COMBS(X1,tc_fun(X1,tc_bool),tc_fun(X1,tc_bool))),hAPP(hAPP(c_COMBB(tc_fun(X1,tc_fun(X1,tc_fun(tc_bool,tc_bool))),tc_fun(X1,tc_fun(tc_fun(X1,tc_bool),tc_fun(X1,tc_bool))),X1),hAPP(c_COMBB(tc_fun(X1,tc_fun(tc_bool,tc_bool)),tc_fun(tc_fun(X1,tc_bool),tc_fun(X1,tc_bool)),X1),c_COMBS(X1,tc_bool,tc_bool))),hAPP(hAPP(c_COMBB(tc_fun(X1,tc_fun(X1,tc_bool)),tc_fun(X1,tc_fun(X1,tc_fun(tc_bool,tc_bool))),X1),hAPP(c_COMBB(tc_fun(X1,tc_bool),tc_fun(X1,tc_fun(tc_bool,tc_bool)),X1),hAPP(c_COMBB(tc_bool,tc_fun(tc_bool,tc_bool),X1),c_and))),hAPP(hAPP(c_COMBC(X1,tc_fun(X1,tc_fun(X1,X1)),tc_fun(X1,tc_fun(X1,tc_bool))),hAPP(hAPP(c_COMBB(tc_fun(tc_fun(X1,X1),tc_fun(X1,tc_bool)),tc_fun(tc_fun(X1,tc_fun(X1,X1)),tc_fun(X1,tc_fun(X1,tc_bool))),X1),c_COMBB(tc_fun(X1,X1),tc_fun(X1,tc_bool),X1)),hAPP(hAPP(c_COMBB(tc_fun(X1,tc_bool),tc_fun(tc_fun(X1,X1),tc_fun(X1,tc_bool)),X1),c_COMBB(X1,tc_bool,X1)),c_fequal(X1)))),c_Lattices_Oupper__semilattice__class_Osup(X1)))))),hAPP(hAPP(c_COMBC(X1,tc_fun(X1,tc_bool),tc_fun(X1,tc_bool)),hAPP(hAPP(c_COMBB(tc_fun(tc_bool,tc_bool),tc_fun(tc_fun(X1,tc_bool),tc_fun(X1,tc_bool)),X1),c_COMBB(tc_bool,tc_bool,X1)),hAPP(hAPP(c_COMBB(tc_bool,tc_fun(tc_bool,tc_bool),X1),c_and),hAPP(hAPP(c_COMBC(X1,tc_fun(X1,tc_bool),tc_bool),c_in(X1)),X2)))),hAPP(hAPP(c_COMBC(X1,tc_fun(X1,tc_bool),tc_bool),c_in(X1)),X3)))))),X1)=hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(X1),c_Finite__Set_Olattice__class_OInf__fin(X2,X1)),c_Finite__Set_Olattice__class_OInf__fin(X3,X1))|~class_Lattices_Odistrib__lattice(X1)|~c_Finite__Set_Ofinite(X3,X1)|~c_Finite__Set_Ofinite(X2,X1))).
% 1.01/1.16 cnf(i_0_1456, plain, (hAPP(c_Collect(tc_prod(X3,X5)),c_split(hAPP(hAPP(c_COMBB(tc_fun(X5,tc_fun(X4,tc_bool)),tc_fun(X5,tc_bool),X3),hAPP(c_COMBB(tc_fun(X4,tc_bool),tc_bool,X5),c_Ex(X4))),hAPP(hAPP(c_COMBC(X3,tc_fun(X5,tc_fun(X4,tc_bool)),tc_fun(X5,tc_fun(X4,tc_bool))),hAPP(hAPP(c_COMBB(tc_fun(tc_fun(X4,tc_bool),tc_fun(X4,tc_bool)),tc_fun(tc_fun(X5,tc_fun(X4,tc_bool)),tc_fun(X5,tc_fun(X4,tc_bool))),X3),c_COMBB(tc_fun(X4,tc_bool),tc_fun(X4,tc_bool),X5)),hAPP(hAPP(c_COMBB(tc_fun(X4,tc_fun(tc_bool,tc_bool)),tc_fun(tc_fun(X4,tc_bool),tc_fun(X4,tc_bool)),X3),c_COMBS(X4,tc_bool,tc_bool)),hAPP(hAPP(c_COMBB(tc_fun(X4,tc_bool),tc_fun(X4,tc_fun(tc_bool,tc_bool)),X3),hAPP(c_COMBB(tc_bool,tc_fun(tc_bool,tc_bool),X4),c_and)),hAPP(hAPP(c_COMBC(X3,tc_fun(tc_prod(X3,X4),tc_bool),tc_fun(X4,tc_bool)),hAPP(hAPP(c_COMBB(tc_fun(X4,tc_fun(tc_fun(tc_prod(X3,X4),tc_bool),tc_bool)),tc_fun(tc_fun(tc_prod(X3,X4),tc_bool),tc_fun(X4,tc_bool)),X3),c_COMBC(X4,tc_fun(tc_prod(X3,X4),tc_bool),tc_bool)),hAPP(hAPP(c_COMBB(tc_fun(X4,tc_prod(X3,X4)),tc_fun(X4,tc_fun(tc_fun(tc_prod(X3,X4),tc_bool),tc_bool)),X3),hAPP(c_COMBB(tc_prod(X3,X4),tc_fun(tc_fun(tc_prod(X3,X4),tc_bool),tc_bool),X4),c_in(tc_prod(X3,X4)))),c_Pair(X3,X4)))),X1))))),hAPP(hAPP(c_COMBC(X5,tc_fun(tc_prod(X4,X5),tc_bool),tc_fun(X4,tc_bool)),hAPP(hAPP(c_COMBB(tc_fun(X4,tc_fun(tc_fun(tc_prod(X4,X5),tc_bool),tc_bool)),tc_fun(tc_fun(tc_prod(X4,X5),tc_bool),tc_fun(X4,tc_bool)),X5),c_COMBC(X4,tc_fun(tc_prod(X4,X5),tc_bool),tc_bool)),hAPP(hAPP(c_COMBB(tc_fun(X4,tc_prod(X4,X5)),tc_fun(X4,tc_fun(tc_fun(tc_prod(X4,X5),tc_bool),tc_bool)),X5),hAPP(c_COMBB(tc_prod(X4,X5),tc_fun(tc_fun(tc_prod(X4,X5),tc_bool),tc_bool),X4),c_in(tc_prod(X4,X5)))),hAPP(c_COMBC(X4,X5,tc_prod(X4,X5)),c_Pair(X4,X5))))),X2))),X3,X5,tc_bool))=c_Relation_Orel__comp(X1,X2,X3,X4,X5))).
% 1.01/1.16 cnf(i_0_1503, plain, (hAPP(hAPP(c_and,hAPP(c_All(tc_fun(t_a,t_a)),hAPP(hAPP(c_COMBB(tc_fun(t_b,tc_bool),tc_bool,tc_fun(t_a,t_a)),c_All(t_b)),hAPP(hAPP(c_COMBS(tc_fun(t_a,t_a),tc_fun(t_b,t_b),tc_fun(t_b,tc_bool)),hAPP(hAPP(c_COMBB(tc_fun(t_b,tc_fun(t_b,tc_bool)),tc_fun(tc_fun(t_b,t_b),tc_fun(t_b,tc_bool)),tc_fun(t_a,t_a)),c_COMBS(t_b,t_b,tc_bool)),hAPP(hAPP(c_COMBB(tc_fun(t_b,t_b),tc_fun(t_b,tc_fun(t_b,tc_bool)),tc_fun(t_a,t_a)),hAPP(c_COMBB(t_b,tc_fun(t_b,tc_bool),t_b),c_fequal(t_b))),hAPP(hAPP(c_COMBC(tc_fun(t_a,t_a),tc_fun(t_b,t_b),tc_fun(t_b,t_b)),hAPP(hAPP(c_COMBB(tc_fun(t_b,tc_fun(t_b,t_b)),tc_fun(tc_fun(t_b,t_b),tc_fun(t_b,t_b)),tc_fun(t_a,t_a)),c_COMBS(t_b,t_b,t_b)),hAPP(hAPP(c_COMBB(tc_fun(t_b,tc_fun(t_a,t_a)),tc_fun(t_b,tc_fun(t_b,t_b)),tc_fun(t_a,t_a)),hAPP(c_COMBB(tc_fun(t_a,t_a),tc_fun(t_b,t_b),t_b),v_upd)),hAPP(hAPP(c_COMBB(tc_fun(t_b,t_a),tc_fun(t_b,tc_fun(t_a,t_a)),tc_fun(t_a,t_a)),hAPP(c_COMBB(t_a,tc_fun(t_a,t_a),t_b),c_COMBK(t_a,t_a))),hAPP(hAPP(c_COMBC(tc_fun(t_a,t_a),tc_fun(t_b,t_a),tc_fun(t_b,t_a)),c_COMBB(t_a,t_a,t_b)),v_acc))))),c_COMBI(t_b))))),v_upd)))),hAPP(c_All(t_b),hAPP(hAPP(c_COMBS(t_b,t_b,tc_bool),hAPP(hAPP(c_COMBB(t_b,tc_fun(t_b,tc_bool),t_b),c_fequal(t_b)),hAPP(v_upd,c_Fun_Oid(t_a)))),c_COMBI(t_b))))=c_Record_Oiso__tuple__update__accessor__cong__assist(v_upd,v_acc,t_a,t_b))).
% 1.01/1.16 cnf(i_0_1509, plain, (hAPP(hAPP(c_Finite__Set_Osetsum(X1,X1),c_Fun_Oid(X1)),hAPP(c_Collect(X1),hAPP(hAPP(c_COMBB(tc_fun(X2,tc_bool),tc_bool,X1),c_Ex(X2)),hAPP(hAPP(c_COMBB(tc_fun(X2,tc_fun(X5,tc_bool)),tc_fun(X2,tc_bool),X1),hAPP(c_COMBB(tc_fun(X5,tc_bool),tc_bool,X2),c_Ex(X5))),hAPP(hAPP(c_COMBC(X1,tc_fun(X2,tc_fun(X5,tc_bool)),tc_fun(X2,tc_fun(X5,tc_bool))),hAPP(hAPP(c_COMBB(tc_fun(X2,tc_fun(tc_fun(X5,tc_bool),tc_fun(X5,tc_bool))),tc_fun(tc_fun(X2,tc_fun(X5,tc_bool)),tc_fun(X2,tc_fun(X5,tc_bool))),X1),c_COMBS(X2,tc_fun(X5,tc_bool),tc_fun(X5,tc_bool))),hAPP(hAPP(c_COMBB(tc_fun(X2,tc_fun(X5,tc_fun(tc_bool,tc_bool))),tc_fun(X2,tc_fun(tc_fun(X5,tc_bool),tc_fun(X5,tc_bool))),X1),hAPP(c_COMBB(tc_fun(X5,tc_fun(tc_bool,tc_bool)),tc_fun(tc_fun(X5,tc_bool),tc_fun(X5,tc_bool)),X2),c_COMBS(X5,tc_bool,tc_bool))),hAPP(hAPP(c_COMBB(tc_fun(X2,tc_fun(X5,tc_bool)),tc_fun(X2,tc_fun(X5,tc_fun(tc_bool,tc_bool))),X1),hAPP(c_COMBB(tc_fun(X5,tc_bool),tc_fun(X5,tc_fun(tc_bool,tc_bool)),X2),hAPP(c_COMBB(tc_bool,tc_fun(tc_bool,tc_bool),X5),c_and))),hAPP(hAPP(c_COMBC(X1,tc_fun(X2,tc_fun(X5,X1)),tc_fun(X2,tc_fun(X5,tc_bool))),hAPP(hAPP(c_COMBB(tc_fun(tc_fun(X5,X1),tc_fun(X5,tc_bool)),tc_fun(tc_fun(X2,tc_fun(X5,X1)),tc_fun(X2,tc_fun(X5,tc_bool))),X1),c_COMBB(tc_fun(X5,X1),tc_fun(X5,tc_bool),X2)),hAPP(hAPP(c_COMBB(tc_fun(X1,tc_bool),tc_fun(tc_fun(X5,X1),tc_fun(X5,tc_bool)),X1),c_COMBB(X1,tc_bool,X5)),c_fequal(X1)))),hAPP(hAPP(c_COMBC(X2,tc_fun(X5,X1),tc_fun(X5,X1)),hAPP(hAPP(c_COMBB(tc_fun(X1,X1),tc_fun(tc_fun(X5,X1),tc_fun(X5,X1)),X2),c_COMBB(X1,X1,X5)),hAPP(hAPP(c_COMBB(X1,tc_fun(X1,X1),X2),c_HOL_Otimes__class_Otimes(X1)),X3))),X6)))))),hAPP(hAPP(c_COMBC(X2,tc_fun(X5,tc_bool),tc_fun(X5,tc_bool)),hAPP(hAPP(c_COMBB(tc_fun(tc_bool,tc_bool),tc_fun(tc_fun(X5,tc_bool),tc_fun(X5,tc_bool)),X2),c_COMBB(tc_bool,tc_bool,X5)),hAPP(hAPP(c_COMBB(tc_bool,tc_fun(tc_bool,tc_bool),X2),c_and),hAPP(hAPP(c_COMBC(X2,tc_fun(X2,tc_bool),tc_bool),c_in(X2)),X4)))),hAPP(hAPP(c_COMBC(X5,tc_fun(X5,tc_bool),tc_bool),c_in(X5)),X7)))))))=hAPP(hAPP(c_HOL_Otimes__class_Otimes(X1),hAPP(hAPP(c_Finite__Set_Osetsum(X2,X1),X3),X4)),hAPP(hAPP(c_Finite__Set_Osetsum(X5,X1),X6),X7))|~class_Ring__and__Field_Osemiring__0(X1)|~c_Fun_Oinj__on(c_split(hAPP(hAPP(c_COMBC(X2,tc_fun(X5,X1),tc_fun(X5,X1)),hAPP(hAPP(c_COMBB(tc_fun(X1,X1),tc_fun(tc_fun(X5,X1),tc_fun(X5,X1)),X2),c_COMBB(X1,X1,X5)),hAPP(hAPP(c_COMBB(X1,tc_fun(X1,X1),X2),c_HOL_Otimes__class_Otimes(X1)),X3))),X6),X2,X5,X1),c_Product__Type_OSigma(X4,hAPP(c_COMBK(tc_fun(X5,tc_bool),X2),X7),X2,X5),tc_prod(X2,X5),X1))).
% 1.01/1.16 cnf(i_0_1486, plain, (hAPP(c_All(t_a),hAPP(hAPP(c_COMBB(tc_fun(t_b,tc_bool),tc_bool,t_a),c_All(t_b)),hAPP(hAPP(c_COMBS(t_a,tc_fun(t_b,tc_bool),tc_fun(t_b,tc_bool)),hAPP(hAPP(c_COMBB(tc_fun(t_b,tc_fun(tc_bool,tc_bool)),tc_fun(tc_fun(t_b,tc_bool),tc_fun(t_b,tc_bool)),t_a),c_COMBS(t_b,tc_bool,tc_bool)),hAPP(hAPP(c_COMBB(tc_fun(t_b,tc_bool),tc_fun(t_b,tc_fun(tc_bool,tc_bool)),t_a),hAPP(c_COMBB(tc_bool,tc_fun(tc_bool,tc_bool),t_b),c_implies)),hAPP(hAPP(c_COMBC(t_a,tc_fun(tc_prod(t_a,t_b),tc_bool),tc_fun(t_b,tc_bool)),hAPP(hAPP(c_COMBB(tc_fun(t_b,tc_fun(tc_fun(tc_prod(t_a,t_b),tc_bool),tc_bool)),tc_fun(tc_fun(tc_prod(t_a,t_b),tc_bool),tc_fun(t_b,tc_bool)),t_a),c_COMBC(t_b,tc_fun(tc_prod(t_a,t_b),tc_bool),tc_bool)),hAPP(hAPP(c_COMBB(tc_fun(t_b,tc_prod(t_a,t_b)),tc_fun(t_b,tc_fun(tc_fun(tc_prod(t_a,t_b),tc_bool),tc_bool)),t_a),hAPP(c_COMBB(tc_prod(t_a,t_b),tc_fun(tc_fun(tc_prod(t_a,t_b),tc_bool),tc_bool),t_b),c_in(tc_prod(t_a,t_b)))),c_Pair(t_a,t_b)))),v_r)))),hAPP(hAPP(c_COMBB(tc_fun(t_b,tc_fun(t_b,tc_bool)),tc_fun(t_b,tc_bool),t_a),hAPP(c_COMBB(tc_fun(t_b,tc_bool),tc_bool,t_b),c_All(t_b))),hAPP(hAPP(c_COMBC(t_a,tc_fun(t_b,tc_fun(t_b,tc_bool)),tc_fun(t_b,tc_fun(t_b,tc_bool))),hAPP(hAPP(c_COMBB(tc_fun(tc_fun(t_b,tc_bool),tc_fun(t_b,tc_bool)),tc_fun(tc_fun(t_b,tc_fun(t_b,tc_bool)),tc_fun(t_b,tc_fun(t_b,tc_bool))),t_a),c_COMBB(tc_fun(t_b,tc_bool),tc_fun(t_b,tc_bool),t_b)),hAPP(hAPP(c_COMBB(tc_fun(t_b,tc_fun(tc_bool,tc_bool)),tc_fun(tc_fun(t_b,tc_bool),tc_fun(t_b,tc_bool)),t_a),c_COMBS(t_b,tc_bool,tc_bool)),hAPP(hAPP(c_COMBB(tc_fun(t_b,tc_bool),tc_fun(t_b,tc_fun(tc_bool,tc_bool)),t_a),hAPP(c_COMBB(tc_bool,tc_fun(tc_bool,tc_bool),t_b),c_implies)),hAPP(hAPP(c_COMBC(t_a,tc_fun(tc_prod(t_a,t_b),tc_bool),tc_fun(t_b,tc_bool)),hAPP(hAPP(c_COMBB(tc_fun(t_b,tc_fun(tc_fun(tc_prod(t_a,t_b),tc_bool),tc_bool)),tc_fun(tc_fun(tc_prod(t_a,t_b),tc_bool),tc_fun(t_b,tc_bool)),t_a),c_COMBC(t_b,tc_fun(tc_prod(t_a,t_b),tc_bool),tc_bool)),hAPP(hAPP(c_COMBB(tc_fun(t_b,tc_prod(t_a,t_b)),tc_fun(t_b,tc_fun(tc_fun(tc_prod(t_a,t_b),tc_bool),tc_bool)),t_a),hAPP(c_COMBB(tc_prod(t_a,t_b),tc_fun(tc_fun(tc_prod(t_a,t_b),tc_bool),tc_bool),t_b),c_in(tc_prod(t_a,t_b)))),c_Pair(t_a,t_b)))),v_r))))),c_fequal(t_b))))))=c_Relation_Osingle__valued(v_r,t_a,t_b))).
% 1.01/1.16 cnf(i_0_837, plain, (hAPP(c_All(t_a),hAPP(hAPP(c_COMBS(t_a,tc_bool,tc_bool),hAPP(hAPP(c_COMBB(tc_bool,tc_fun(tc_bool,tc_bool),t_a),c_implies),hAPP(hAPP(c_COMBC(t_a,tc_fun(t_a,tc_bool),tc_bool),c_in(t_a)),v_A))),hAPP(hAPP(c_COMBB(tc_fun(t_a,tc_bool),tc_bool,t_a),c_All(t_a)),hAPP(hAPP(c_COMBB(tc_fun(t_a,tc_bool),tc_fun(t_a,tc_bool),t_a),hAPP(c_COMBS(t_a,tc_bool,tc_bool),hAPP(hAPP(c_COMBB(tc_bool,tc_fun(tc_bool,tc_bool),t_a),c_implies),hAPP(hAPP(c_COMBC(t_a,tc_fun(t_a,tc_bool),tc_bool),c_in(t_a)),v_A)))),hAPP(hAPP(c_COMBS(t_a,tc_fun(t_a,tc_bool),tc_fun(t_a,tc_bool)),hAPP(hAPP(c_COMBB(tc_fun(t_a,tc_fun(tc_bool,tc_bool)),tc_fun(tc_fun(t_a,tc_bool),tc_fun(t_a,tc_bool)),t_a),c_COMBS(t_a,tc_bool,tc_bool)),hAPP(hAPP(c_COMBB(tc_fun(t_a,tc_bool),tc_fun(t_a,tc_fun(tc_bool,tc_bool)),t_a),hAPP(c_COMBB(tc_bool,tc_fun(tc_bool,tc_bool),t_a),c_implies)),hAPP(hAPP(c_COMBB(tc_fun(t_a,tc_bool),tc_fun(t_a,tc_bool),t_a),hAPP(c_COMBB(tc_bool,tc_bool,t_a),c_Not)),c_fequal(t_a))))),hAPP(hAPP(c_COMBS(t_a,tc_fun(t_a,tc_bool),tc_fun(t_a,tc_bool)),hAPP(hAPP(c_COMBB(tc_fun(t_a,tc_fun(tc_bool,tc_bool)),tc_fun(tc_fun(t_a,tc_bool),tc_fun(t_a,tc_bool)),t_a),c_COMBS(t_a,tc_bool,tc_bool)),hAPP(hAPP(c_COMBB(tc_fun(t_a,tc_bool),tc_fun(t_a,tc_fun(tc_bool,tc_bool)),t_a),hAPP(c_COMBB(tc_bool,tc_fun(tc_bool,tc_bool),t_a),c_or)),hAPP(hAPP(c_COMBC(t_a,tc_fun(tc_prod(t_a,t_a),tc_bool),tc_fun(t_a,tc_bool)),hAPP(hAPP(c_COMBB(tc_fun(t_a,tc_fun(tc_fun(tc_prod(t_a,t_a),tc_bool),tc_bool)),tc_fun(tc_fun(tc_prod(t_a,t_a),tc_bool),tc_fun(t_a,tc_bool)),t_a),c_COMBC(t_a,tc_fun(tc_prod(t_a,t_a),tc_bool),tc_bool)),hAPP(hAPP(c_COMBB(tc_fun(t_a,tc_prod(t_a,t_a)),tc_fun(t_a,tc_fun(tc_fun(tc_prod(t_a,t_a),tc_bool),tc_bool)),t_a),hAPP(c_COMBB(tc_prod(t_a,t_a),tc_fun(tc_fun(tc_prod(t_a,t_a),tc_bool),tc_bool),t_a),c_in(tc_prod(t_a,t_a)))),c_Pair(t_a,t_a)))),v_r)))),hAPP(hAPP(c_COMBC(t_a,tc_fun(tc_prod(t_a,t_a),tc_bool),tc_fun(t_a,tc_bool)),hAPP(hAPP(c_COMBB(tc_fun(t_a,tc_fun(tc_fun(tc_prod(t_a,t_a),tc_bool),tc_bool)),tc_fun(tc_fun(tc_prod(t_a,t_a),tc_bool),tc_fun(t_a,tc_bool)),t_a),c_COMBC(t_a,tc_fun(tc_prod(t_a,t_a),tc_bool),tc_bool)),hAPP(hAPP(c_COMBB(tc_fun(t_a,tc_prod(t_a,t_a)),tc_fun(t_a,tc_fun(tc_fun(tc_prod(t_a,t_a),tc_bool),tc_bool)),t_a),hAPP(c_COMBB(tc_prod(t_a,t_a),tc_fun(tc_fun(tc_prod(t_a,t_a),tc_bool),tc_bool),t_a),c_in(tc_prod(t_a,t_a)))),hAPP(c_COMBC(t_a,t_a,tc_prod(t_a,t_a)),c_Pair(t_a,t_a))))),v_r)))))))=c_Relation_Ototal__on(v_A,v_r,t_a))).
% 1.01/1.16 cnf(i_0_1450, plain, (hAPP(c_All(t_a),hAPP(hAPP(c_COMBB(tc_fun(t_a,tc_bool),tc_bool,t_a),c_All(t_a)),hAPP(hAPP(c_COMBS(t_a,tc_fun(t_a,tc_bool),tc_fun(t_a,tc_bool)),hAPP(hAPP(c_COMBB(tc_fun(t_a,tc_fun(tc_bool,tc_bool)),tc_fun(tc_fun(t_a,tc_bool),tc_fun(t_a,tc_bool)),t_a),c_COMBS(t_a,tc_bool,tc_bool)),hAPP(hAPP(c_COMBB(tc_fun(t_a,tc_bool),tc_fun(t_a,tc_fun(tc_bool,tc_bool)),t_a),hAPP(c_COMBB(tc_bool,tc_fun(tc_bool,tc_bool),t_a),c_implies)),hAPP(hAPP(c_COMBC(t_a,tc_fun(tc_prod(t_a,t_a),tc_bool),tc_fun(t_a,tc_bool)),hAPP(hAPP(c_COMBB(tc_fun(t_a,tc_fun(tc_fun(tc_prod(t_a,t_a),tc_bool),tc_bool)),tc_fun(tc_fun(tc_prod(t_a,t_a),tc_bool),tc_fun(t_a,tc_bool)),t_a),c_COMBC(t_a,tc_fun(tc_prod(t_a,t_a),tc_bool),tc_bool)),hAPP(hAPP(c_COMBB(tc_fun(t_a,tc_prod(t_a,t_a)),tc_fun(t_a,tc_fun(tc_fun(tc_prod(t_a,t_a),tc_bool),tc_bool)),t_a),hAPP(c_COMBB(tc_prod(t_a,t_a),tc_fun(tc_fun(tc_prod(t_a,t_a),tc_bool),tc_bool),t_a),c_in(tc_prod(t_a,t_a)))),c_Pair(t_a,t_a)))),v_r)))),hAPP(hAPP(c_COMBB(tc_fun(t_a,tc_fun(t_a,tc_bool)),tc_fun(t_a,tc_bool),t_a),hAPP(c_COMBB(tc_fun(t_a,tc_bool),tc_bool,t_a),c_All(t_a))),hAPP(hAPP(c_COMBB(tc_fun(t_a,tc_bool),tc_fun(t_a,tc_fun(t_a,tc_bool)),t_a),hAPP(c_COMBC(t_a,tc_fun(t_a,tc_bool),tc_fun(t_a,tc_bool)),hAPP(hAPP(c_COMBB(tc_fun(t_a,tc_fun(tc_bool,tc_bool)),tc_fun(tc_fun(t_a,tc_bool),tc_fun(t_a,tc_bool)),t_a),c_COMBS(t_a,tc_bool,tc_bool)),hAPP(hAPP(c_COMBB(tc_fun(t_a,tc_bool),tc_fun(t_a,tc_fun(tc_bool,tc_bool)),t_a),hAPP(c_COMBB(tc_bool,tc_fun(tc_bool,tc_bool),t_a),c_implies)),hAPP(hAPP(c_COMBC(t_a,tc_fun(tc_prod(t_a,t_a),tc_bool),tc_fun(t_a,tc_bool)),hAPP(hAPP(c_COMBB(tc_fun(t_a,tc_fun(tc_fun(tc_prod(t_a,t_a),tc_bool),tc_bool)),tc_fun(tc_fun(tc_prod(t_a,t_a),tc_bool),tc_fun(t_a,tc_bool)),t_a),c_COMBC(t_a,tc_fun(tc_prod(t_a,t_a),tc_bool),tc_bool)),hAPP(hAPP(c_COMBB(tc_fun(t_a,tc_prod(t_a,t_a)),tc_fun(t_a,tc_fun(tc_fun(tc_prod(t_a,t_a),tc_bool),tc_bool)),t_a),hAPP(c_COMBB(tc_prod(t_a,t_a),tc_fun(tc_fun(tc_prod(t_a,t_a),tc_bool),tc_bool),t_a),c_in(tc_prod(t_a,t_a)))),c_Pair(t_a,t_a)))),v_r))))),hAPP(hAPP(c_COMBC(t_a,tc_fun(tc_prod(t_a,t_a),tc_bool),tc_fun(t_a,tc_bool)),hAPP(hAPP(c_COMBB(tc_fun(t_a,tc_fun(tc_fun(tc_prod(t_a,t_a),tc_bool),tc_bool)),tc_fun(tc_fun(tc_prod(t_a,t_a),tc_bool),tc_fun(t_a,tc_bool)),t_a),c_COMBC(t_a,tc_fun(tc_prod(t_a,t_a),tc_bool),tc_bool)),hAPP(hAPP(c_COMBB(tc_fun(t_a,tc_prod(t_a,t_a)),tc_fun(t_a,tc_fun(tc_fun(tc_prod(t_a,t_a),tc_bool),tc_bool)),t_a),hAPP(c_COMBB(tc_prod(t_a,t_a),tc_fun(tc_fun(tc_prod(t_a,t_a),tc_bool),tc_bool),t_a),c_in(tc_prod(t_a,t_a)))),c_Pair(t_a,t_a)))),v_r))))))=c_Relation_Otrans(v_r,t_a))).
% 1.01/1.16 cnf(i_0_1540, plain, (hBOOL(c_List_Olistsp(hAPP(hAPP(c_COMBB(tc_fun(tc_fun(tc_nat,tc_Type_Otype),tc_bool),tc_bool,tc_Lambda_OdB),c_All(tc_fun(tc_nat,tc_Type_Otype))),hAPP(hAPP(c_COMBB(tc_fun(tc_fun(tc_nat,tc_Type_Otype),tc_fun(tc_Type_Otype,tc_bool)),tc_fun(tc_fun(tc_nat,tc_Type_Otype),tc_bool),tc_Lambda_OdB),hAPP(c_COMBB(tc_fun(tc_Type_Otype,tc_bool),tc_bool,tc_fun(tc_nat,tc_Type_Otype)),c_All(tc_Type_Otype))),hAPP(hAPP(c_COMBB(tc_fun(tc_fun(tc_nat,tc_Type_Otype),tc_fun(tc_Type_Otype,tc_fun(tc_Lambda_OdB,tc_bool))),tc_fun(tc_fun(tc_nat,tc_Type_Otype),tc_fun(tc_Type_Otype,tc_bool)),tc_Lambda_OdB),hAPP(c_COMBB(tc_fun(tc_Type_Otype,tc_fun(tc_Lambda_OdB,tc_bool)),tc_fun(tc_Type_Otype,tc_bool),tc_fun(tc_nat,tc_Type_Otype)),hAPP(c_COMBB(tc_fun(tc_Lambda_OdB,tc_bool),tc_bool,tc_Type_Otype),c_All(tc_Lambda_OdB)))),hAPP(hAPP(c_COMBB(tc_fun(tc_fun(tc_nat,tc_Type_Otype),tc_fun(tc_Type_Otype,tc_fun(tc_Lambda_OdB,tc_fun(tc_nat,tc_bool)))),tc_fun(tc_fun(tc_nat,tc_Type_Otype),tc_fun(tc_Type_Otype,tc_fun(tc_Lambda_OdB,tc_bool))),tc_Lambda_OdB),hAPP(c_COMBB(tc_fun(tc_Type_Otype,tc_fun(tc_Lambda_OdB,tc_fun(tc_nat,tc_bool))),tc_fun(tc_Type_Otype,tc_fun(tc_Lambda_OdB,tc_bool)),tc_fun(tc_nat,tc_Type_Otype)),hAPP(c_COMBB(tc_fun(tc_Lambda_OdB,tc_fun(tc_nat,tc_bool)),tc_fun(tc_Lambda_OdB,tc_bool),tc_Type_Otype),hAPP(c_COMBB(tc_fun(tc_nat,tc_bool),tc_bool,tc_Lambda_OdB),c_All(tc_nat))))),hAPP(hAPP(c_COMBS(tc_Lambda_OdB,tc_fun(tc_fun(tc_nat,tc_Type_Otype),tc_fun(tc_Lambda_OdB,tc_fun(tc_nat,tc_bool))),tc_fun(tc_fun(tc_nat,tc_Type_Otype),tc_fun(tc_Type_Otype,tc_fun(tc_Lambda_OdB,tc_fun(tc_nat,tc_bool))))),hAPP(hAPP(c_COMBB(tc_fun(tc_fun(tc_nat,tc_Type_Otype),tc_fun(tc_fun(tc_Lambda_OdB,tc_fun(tc_nat,tc_bool)),tc_fun(tc_Type_Otype,tc_fun(tc_Lambda_OdB,tc_fun(tc_nat,tc_bool))))),tc_fun(tc_fun(tc_fun(tc_nat,tc_Type_Otype),tc_fun(tc_Lambda_OdB,tc_fun(tc_nat,tc_bool))),tc_fun(tc_fun(tc_nat,tc_Type_Otype),tc_fun(tc_Type_Otype,tc_fun(tc_Lambda_OdB,tc_fun(tc_nat,tc_bool))))),tc_Lambda_OdB),c_COMBS(tc_fun(tc_nat,tc_Type_Otype),tc_fun(tc_Lambda_OdB,tc_fun(tc_nat,tc_bool)),tc_fun(tc_Type_Otype,tc_fun(tc_Lambda_OdB,tc_fun(tc_nat,tc_bool))))),hAPP(hAPP(c_COMBB(tc_fun(tc_fun(tc_nat,tc_Type_Otype),tc_fun(tc_Type_Otype,tc_fun(tc_fun(tc_Lambda_OdB,tc_fun(tc_nat,tc_bool)),tc_fun(tc_Lambda_OdB,tc_fun(tc_nat,tc_bool))))),tc_fun(tc_fun(tc_nat,tc_Type_Otype),tc_fun(tc_fun(tc_Lambda_OdB,tc_fun(tc_nat,tc_bool)),tc_fun(tc_Type_Otype,tc_fun(tc_Lambda_OdB,tc_fun(tc_nat,tc_bool))))),tc_Lambda_OdB),hAPP(c_COMBB(tc_fun(tc_Type_Otype,tc_fun(tc_fun(tc_Lambda_OdB,tc_fun(tc_nat,tc_bool)),tc_fun(tc_Lambda_OdB,tc_fun(tc_nat,tc_bool)))),tc_fun(tc_fun(tc_Lambda_OdB,tc_fun(tc_nat,tc_bool)),tc_fun(tc_Type_Otype,tc_fun(tc_Lambda_OdB,tc_fun(tc_nat,tc_bool)))),tc_fun(tc_nat,tc_Type_Otype)),c_COMBC(tc_Type_Otype,tc_fun(tc_Lambda_OdB,tc_fun(tc_nat,tc_bool)),tc_fun(tc_Lambda_OdB,tc_fun(tc_nat,tc_bool))))),hAPP(hAPP(c_COMBB(tc_fun(tc_fun(tc_nat,tc_Type_Otype),tc_fun(tc_Type_Otype,tc_fun(tc_fun(tc_nat,tc_bool),tc_fun(tc_nat,tc_bool)))),tc_fun(tc_fun(tc_nat,tc_Type_Otype),tc_fun(tc_Type_Otype,tc_fun(tc_fun(tc_Lambda_OdB,tc_fun(tc_nat,tc_bool)),tc_fun(tc_Lambda_OdB,tc_fun(tc_nat,tc_bool))))),tc_Lambda_OdB),hAPP(c_COMBB(tc_fun(tc_Type_Otype,tc_fun(tc_fun(tc_nat,tc_bool),tc_fun(tc_nat,tc_bool))),tc_fun(tc_Type_Otype,tc_fun(tc_fun(tc_Lambda_OdB,tc_fun(tc_nat,tc_bool)),tc_fun(tc_Lambda_OdB,tc_fun(tc_nat,tc_bool)))),tc_fun(tc_nat,tc_Type_Otype)),hAPP(c_COMBB(tc_fun(tc_fun(tc_nat,tc_bool),tc_fun(tc_nat,tc_bool)),tc_fun(tc_fun(tc_Lambda_OdB,tc_fun(tc_nat,tc_bool)),tc_fun(tc_Lambda_OdB,tc_fun(tc_nat,tc_bool))),tc_Type_Otype),c_COMBB(tc_fun(tc_nat,tc_bool),tc_fun(tc_nat,tc_bool),tc_Lambda_OdB)))),hAPP(hAPP(c_COMBB(tc_fun(tc_fun(tc_nat,tc_Type_Otype),tc_fun(tc_Type_Otype,tc_fun(tc_nat,tc_fun(tc_bool,tc_bool)))),tc_fun(tc_fun(tc_nat,tc_Type_Otype),tc_fun(tc_Type_Otype,tc_fun(tc_fun(tc_nat,tc_bool),tc_fun(tc_nat,tc_bool)))),tc_Lambda_OdB),hAPP(c_COMBB(tc_fun(tc_Type_Otype,tc_fun(tc_nat,tc_fun(tc_bool,tc_bool))),tc_fun(tc_Type_Otype,tc_fun(tc_fun(tc_nat,tc_bool),tc_fun(tc_nat,tc_bool))),tc_fun(tc_nat,tc_Type_Otype)),hAPP(c_COMBB(tc_fun(tc_nat,tc_fun(tc_bool,tc_bool)),tc_fun(tc_fun(tc_nat,tc_bool),tc_fun(tc_nat,tc_bool)),tc_Type_Otype),c_COMBS(tc_nat,tc_bool,tc_bool)))),hAPP(hAPP(c_COMBB(tc_fun(tc_fun(tc_nat,tc_Type_Otype),tc_fun(tc_Type_Otype,tc_fun(tc_nat,tc_bool))),tc_fun(tc_fun(tc_nat,tc_Type_Otype),tc_fun(tc_Type_Otype,tc_fun(tc_nat,tc_fun(tc_bool,tc_bool)))),tc_Lambda_OdB),hAPP(c_COMBB(tc_fun(tc_Type_Otype,tc_fun(tc_nat,tc_bool)),tc_fun(tc_Type_Otype,tc_fun(tc_nat,tc_fun(tc_bool,tc_bool))),tc_fun(tc_nat,tc_Type_Otype)),hAPP(c_COMBB(tc_fun(tc_nat,tc_bool),tc_fun(tc_nat,tc_fun(tc_bool,tc_bool)),tc_Type_Otype),hAPP(c_COMBB(tc_bool,tc_fun(tc_bool,tc_bool),tc_nat),c_implies)))),hAPP(hAPP(c_COMBB(tc_fun(tc_fun(tc_nat,tc_Type_Otype),tc_fun(tc_nat,tc_fun(tc_Type_Otype,tc_bool))),tc_fun(tc_fun(tc_nat,tc_Type_Otype),tc_fun(tc_Type_Otype,tc_fun(tc_nat,tc_bool))),tc_Lambda_OdB),hAPP(c_COMBB(tc_fun(tc_nat,tc_fun(tc_Type_Otype,tc_bool)),tc_fun(tc_Type_Otype,tc_fun(tc_nat,tc_bool)),tc_fun(tc_nat,tc_Type_Otype)),c_COMBC(tc_nat,tc_Type_Otype,tc_bool))),hAPP(c_COMBC(tc_fun(tc_nat,tc_Type_Otype),tc_Lambda_OdB,tc_fun(tc_nat,tc_fun(tc_Type_Otype,tc_bool))),hAPP(hAPP(c_COMBB(tc_fun(tc_nat,tc_fun(tc_Lambda_OdB,tc_fun(tc_Type_Otype,tc_bool))),tc_fun(tc_Lambda_OdB,tc_fun(tc_nat,tc_fun(tc_Type_Otype,tc_bool))),tc_fun(tc_nat,tc_Type_Otype)),c_COMBC(tc_nat,tc_Lambda_OdB,tc_fun(tc_Type_Otype,tc_bool))),hAPP(hAPP(c_COMBB(tc_fun(tc_nat,tc_fun(tc_nat,tc_Type_Otype)),tc_fun(tc_nat,tc_fun(tc_Lambda_OdB,tc_fun(tc_Type_Otype,tc_bool))),tc_fun(tc_nat,tc_Type_Otype)),hAPP(c_COMBB(tc_fun(tc_nat,tc_Type_Otype),tc_fun(tc_Lambda_OdB,tc_fun(tc_Type_Otype,tc_bool)),tc_nat),c_Type_Otyping)),hAPP(hAPP(c_COMBC(tc_fun(tc_nat,tc_Type_Otype),tc_Type_Otype,tc_fun(tc_nat,tc_fun(tc_nat,tc_Type_Otype))),hAPP(hAPP(c_COMBB(tc_fun(tc_nat,tc_fun(tc_Type_Otype,tc_fun(tc_nat,tc_Type_Otype))),tc_fun(tc_Type_Otype,tc_fun(tc_nat,tc_fun(tc_nat,tc_Type_Otype))),tc_fun(tc_nat,tc_Type_Otype)),c_COMBC(tc_nat,tc_Type_Otype,tc_fun(tc_nat,tc_Type_Otype))),c_Type_Oshift(tc_Type_Otype))),v_T____))))))))))),hAPP(hAPP(c_COMBB(tc_fun(tc_fun(tc_nat,tc_Type_Otype),tc_fun(tc_Lambda_OdB,tc_fun(tc_nat,tc_bool))),tc_fun(tc_fun(tc_nat,tc_Type_Otype),tc_fun(tc_Lambda_OdB,tc_fun(tc_nat,tc_bool))),tc_Lambda_OdB),hAPP(c_COMBB(tc_fun(tc_Lambda_OdB,tc_fun(tc_nat,tc_bool)),tc_fun(tc_Lambda_OdB,tc_fun(tc_nat,tc_bool)),tc_fun(tc_nat,tc_Type_Otype)),hAPP(c_COMBS(tc_Lambda_OdB,tc_fun(tc_nat,tc_bool),tc_fun(tc_nat,tc_bool)),hAPP(hAPP(c_COMBB(tc_fun(tc_bool,tc_bool),tc_fun(tc_fun(tc_nat,tc_bool),tc_fun(tc_nat,tc_bool)),tc_Lambda_OdB),c_COMBB(tc_bool,tc_bool,tc_nat)),hAPP(hAPP(c_COMBB(tc_bool,tc_fun(tc_bool,tc_bool),tc_Lambda_OdB),c_implies),c_InductTermi_OIT))))),hAPP(hAPP(c_COMBB(tc_fun(tc_Lambda_OdB,tc_fun(tc_nat,tc_bool)),tc_fun(tc_fun(tc_nat,tc_Type_Otype),tc_fun(tc_Lambda_OdB,tc_fun(tc_nat,tc_bool))),tc_Lambda_OdB),hAPP(c_COMBC(tc_fun(tc_nat,tc_Type_Otype),tc_fun(tc_Lambda_OdB,tc_fun(tc_nat,tc_bool)),tc_fun(tc_Lambda_OdB,tc_fun(tc_nat,tc_bool))),hAPP(hAPP(c_COMBB(tc_fun(tc_Lambda_OdB,tc_fun(tc_fun(tc_nat,tc_bool),tc_fun(tc_nat,tc_bool))),tc_fun(tc_fun(tc_Lambda_OdB,tc_fun(tc_nat,tc_bool)),tc_fun(tc_Lambda_OdB,tc_fun(tc_nat,tc_bool))),tc_fun(tc_nat,tc_Type_Otype)),c_COMBS(tc_Lambda_OdB,tc_fun(tc_nat,tc_bool),tc_fun(tc_nat,tc_bool))),hAPP(hAPP(c_COMBB(tc_fun(tc_Lambda_OdB,tc_fun(tc_bool,tc_bool)),tc_fun(tc_Lambda_OdB,tc_fun(tc_fun(tc_nat,tc_bool),tc_fun(tc_nat,tc_bool))),tc_fun(tc_nat,tc_Type_Otype)),hAPP(c_COMBB(tc_fun(tc_bool,tc_bool),tc_fun(tc_fun(tc_nat,tc_bool),tc_fun(tc_nat,tc_bool)),tc_Lambda_OdB),c_COMBB(tc_bool,tc_bool,tc_nat))),hAPP(hAPP(c_COMBB(tc_fun(tc_Lambda_OdB,tc_bool),tc_fun(tc_Lambda_OdB,tc_fun(tc_bool,tc_bool)),tc_fun(tc_nat,tc_Type_Otype)),hAPP(c_COMBB(tc_bool,tc_fun(tc_bool,tc_bool),tc_Lambda_OdB),c_implies)),hAPP(hAPP(c_COMBC(tc_fun(tc_nat,tc_Type_Otype),tc_Type_Otype,tc_fun(tc_Lambda_OdB,tc_bool)),hAPP(hAPP(c_COMBB(tc_fun(tc_Lambda_OdB,tc_fun(tc_Type_Otype,tc_bool)),tc_fun(tc_Type_Otype,tc_fun(tc_Lambda_OdB,tc_bool)),tc_fun(tc_nat,tc_Type_Otype)),c_COMBC(tc_Lambda_OdB,tc_Type_Otype,tc_bool)),c_Type_Otyping)),v_T____)))))),hAPP(hAPP(c_COMBB(tc_fun(tc_Lambda_OdB,tc_fun(tc_nat,tc_Lambda_OdB)),tc_fun(tc_Lambda_OdB,tc_fun(tc_nat,tc_bool)),tc_Lambda_OdB),hAPP(c_COMBB(tc_fun(tc_nat,tc_Lambda_OdB),tc_fun(tc_nat,tc_bool),tc_Lambda_OdB),hAPP(c_COMBB(tc_Lambda_OdB,tc_bool,tc_nat),c_InductTermi_OIT))),c_Lambda_Osubst)))))))),v_rs____,tc_Lambda_OdB)))).
% 1.01/1.16 cnf(i_0_1533, plain, (hBOOL(c_List_Olistsp(hAPP(hAPP(c_COMBS(tc_Lambda_OdB,tc_bool,tc_bool),hAPP(hAPP(c_COMBB(tc_bool,tc_fun(tc_bool,tc_bool),tc_Lambda_OdB),c_and),c_InductTermi_OIT)),hAPP(hAPP(c_COMBB(tc_fun(tc_fun(tc_nat,tc_Type_Otype),tc_bool),tc_bool,tc_Lambda_OdB),c_All(tc_fun(tc_nat,tc_Type_Otype))),hAPP(hAPP(c_COMBB(tc_fun(tc_fun(tc_nat,tc_Type_Otype),tc_fun(tc_Type_Otype,tc_bool)),tc_fun(tc_fun(tc_nat,tc_Type_Otype),tc_bool),tc_Lambda_OdB),hAPP(c_COMBB(tc_fun(tc_Type_Otype,tc_bool),tc_bool,tc_fun(tc_nat,tc_Type_Otype)),c_All(tc_Type_Otype))),hAPP(hAPP(c_COMBB(tc_fun(tc_fun(tc_nat,tc_Type_Otype),tc_fun(tc_Type_Otype,tc_fun(tc_Lambda_OdB,tc_bool))),tc_fun(tc_fun(tc_nat,tc_Type_Otype),tc_fun(tc_Type_Otype,tc_bool)),tc_Lambda_OdB),hAPP(c_COMBB(tc_fun(tc_Type_Otype,tc_fun(tc_Lambda_OdB,tc_bool)),tc_fun(tc_Type_Otype,tc_bool),tc_fun(tc_nat,tc_Type_Otype)),hAPP(c_COMBB(tc_fun(tc_Lambda_OdB,tc_bool),tc_bool,tc_Type_Otype),c_All(tc_Lambda_OdB)))),hAPP(hAPP(c_COMBB(tc_fun(tc_fun(tc_nat,tc_Type_Otype),tc_fun(tc_Type_Otype,tc_fun(tc_Lambda_OdB,tc_fun(tc_nat,tc_bool)))),tc_fun(tc_fun(tc_nat,tc_Type_Otype),tc_fun(tc_Type_Otype,tc_fun(tc_Lambda_OdB,tc_bool))),tc_Lambda_OdB),hAPP(c_COMBB(tc_fun(tc_Type_Otype,tc_fun(tc_Lambda_OdB,tc_fun(tc_nat,tc_bool))),tc_fun(tc_Type_Otype,tc_fun(tc_Lambda_OdB,tc_bool)),tc_fun(tc_nat,tc_Type_Otype)),hAPP(c_COMBB(tc_fun(tc_Lambda_OdB,tc_fun(tc_nat,tc_bool)),tc_fun(tc_Lambda_OdB,tc_bool),tc_Type_Otype),hAPP(c_COMBB(tc_fun(tc_nat,tc_bool),tc_bool,tc_Lambda_OdB),c_All(tc_nat))))),hAPP(hAPP(c_COMBS(tc_Lambda_OdB,tc_fun(tc_fun(tc_nat,tc_Type_Otype),tc_fun(tc_Lambda_OdB,tc_fun(tc_nat,tc_bool))),tc_fun(tc_fun(tc_nat,tc_Type_Otype),tc_fun(tc_Type_Otype,tc_fun(tc_Lambda_OdB,tc_fun(tc_nat,tc_bool))))),hAPP(hAPP(c_COMBB(tc_fun(tc_fun(tc_nat,tc_Type_Otype),tc_fun(tc_fun(tc_Lambda_OdB,tc_fun(tc_nat,tc_bool)),tc_fun(tc_Type_Otype,tc_fun(tc_Lambda_OdB,tc_fun(tc_nat,tc_bool))))),tc_fun(tc_fun(tc_fun(tc_nat,tc_Type_Otype),tc_fun(tc_Lambda_OdB,tc_fun(tc_nat,tc_bool))),tc_fun(tc_fun(tc_nat,tc_Type_Otype),tc_fun(tc_Type_Otype,tc_fun(tc_Lambda_OdB,tc_fun(tc_nat,tc_bool))))),tc_Lambda_OdB),c_COMBS(tc_fun(tc_nat,tc_Type_Otype),tc_fun(tc_Lambda_OdB,tc_fun(tc_nat,tc_bool)),tc_fun(tc_Type_Otype,tc_fun(tc_Lambda_OdB,tc_fun(tc_nat,tc_bool))))),hAPP(hAPP(c_COMBB(tc_fun(tc_fun(tc_nat,tc_Type_Otype),tc_fun(tc_Type_Otype,tc_fun(tc_fun(tc_Lambda_OdB,tc_fun(tc_nat,tc_bool)),tc_fun(tc_Lambda_OdB,tc_fun(tc_nat,tc_bool))))),tc_fun(tc_fun(tc_nat,tc_Type_Otype),tc_fun(tc_fun(tc_Lambda_OdB,tc_fun(tc_nat,tc_bool)),tc_fun(tc_Type_Otype,tc_fun(tc_Lambda_OdB,tc_fun(tc_nat,tc_bool))))),tc_Lambda_OdB),hAPP(c_COMBB(tc_fun(tc_Type_Otype,tc_fun(tc_fun(tc_Lambda_OdB,tc_fun(tc_nat,tc_bool)),tc_fun(tc_Lambda_OdB,tc_fun(tc_nat,tc_bool)))),tc_fun(tc_fun(tc_Lambda_OdB,tc_fun(tc_nat,tc_bool)),tc_fun(tc_Type_Otype,tc_fun(tc_Lambda_OdB,tc_fun(tc_nat,tc_bool)))),tc_fun(tc_nat,tc_Type_Otype)),c_COMBC(tc_Type_Otype,tc_fun(tc_Lambda_OdB,tc_fun(tc_nat,tc_bool)),tc_fun(tc_Lambda_OdB,tc_fun(tc_nat,tc_bool))))),hAPP(hAPP(c_COMBB(tc_fun(tc_fun(tc_nat,tc_Type_Otype),tc_fun(tc_Type_Otype,tc_fun(tc_fun(tc_nat,tc_bool),tc_fun(tc_nat,tc_bool)))),tc_fun(tc_fun(tc_nat,tc_Type_Otype),tc_fun(tc_Type_Otype,tc_fun(tc_fun(tc_Lambda_OdB,tc_fun(tc_nat,tc_bool)),tc_fun(tc_Lambda_OdB,tc_fun(tc_nat,tc_bool))))),tc_Lambda_OdB),hAPP(c_COMBB(tc_fun(tc_Type_Otype,tc_fun(tc_fun(tc_nat,tc_bool),tc_fun(tc_nat,tc_bool))),tc_fun(tc_Type_Otype,tc_fun(tc_fun(tc_Lambda_OdB,tc_fun(tc_nat,tc_bool)),tc_fun(tc_Lambda_OdB,tc_fun(tc_nat,tc_bool)))),tc_fun(tc_nat,tc_Type_Otype)),hAPP(c_COMBB(tc_fun(tc_fun(tc_nat,tc_bool),tc_fun(tc_nat,tc_bool)),tc_fun(tc_fun(tc_Lambda_OdB,tc_fun(tc_nat,tc_bool)),tc_fun(tc_Lambda_OdB,tc_fun(tc_nat,tc_bool))),tc_Type_Otype),c_COMBB(tc_fun(tc_nat,tc_bool),tc_fun(tc_nat,tc_bool),tc_Lambda_OdB)))),hAPP(hAPP(c_COMBB(tc_fun(tc_fun(tc_nat,tc_Type_Otype),tc_fun(tc_Type_Otype,tc_fun(tc_nat,tc_fun(tc_bool,tc_bool)))),tc_fun(tc_fun(tc_nat,tc_Type_Otype),tc_fun(tc_Type_Otype,tc_fun(tc_fun(tc_nat,tc_bool),tc_fun(tc_nat,tc_bool)))),tc_Lambda_OdB),hAPP(c_COMBB(tc_fun(tc_Type_Otype,tc_fun(tc_nat,tc_fun(tc_bool,tc_bool))),tc_fun(tc_Type_Otype,tc_fun(tc_fun(tc_nat,tc_bool),tc_fun(tc_nat,tc_bool))),tc_fun(tc_nat,tc_Type_Otype)),hAPP(c_COMBB(tc_fun(tc_nat,tc_fun(tc_bool,tc_bool)),tc_fun(tc_fun(tc_nat,tc_bool),tc_fun(tc_nat,tc_bool)),tc_Type_Otype),c_COMBS(tc_nat,tc_bool,tc_bool)))),hAPP(hAPP(c_COMBB(tc_fun(tc_fun(tc_nat,tc_Type_Otype),tc_fun(tc_Type_Otype,tc_fun(tc_nat,tc_bool))),tc_fun(tc_fun(tc_nat,tc_Type_Otype),tc_fun(tc_Type_Otype,tc_fun(tc_nat,tc_fun(tc_bool,tc_bool)))),tc_Lambda_OdB),hAPP(c_COMBB(tc_fun(tc_Type_Otype,tc_fun(tc_nat,tc_bool)),tc_fun(tc_Type_Otype,tc_fun(tc_nat,tc_fun(tc_bool,tc_bool))),tc_fun(tc_nat,tc_Type_Otype)),hAPP(c_COMBB(tc_fun(tc_nat,tc_bool),tc_fun(tc_nat,tc_fun(tc_bool,tc_bool)),tc_Type_Otype),hAPP(c_COMBB(tc_bool,tc_fun(tc_bool,tc_bool),tc_nat),c_implies)))),hAPP(hAPP(c_COMBB(tc_fun(tc_fun(tc_nat,tc_Type_Otype),tc_fun(tc_nat,tc_fun(tc_Type_Otype,tc_bool))),tc_fun(tc_fun(tc_nat,tc_Type_Otype),tc_fun(tc_Type_Otype,tc_fun(tc_nat,tc_bool))),tc_Lambda_OdB),hAPP(c_COMBB(tc_fun(tc_nat,tc_fun(tc_Type_Otype,tc_bool)),tc_fun(tc_Type_Otype,tc_fun(tc_nat,tc_bool)),tc_fun(tc_nat,tc_Type_Otype)),c_COMBC(tc_nat,tc_Type_Otype,tc_bool))),hAPP(c_COMBC(tc_fun(tc_nat,tc_Type_Otype),tc_Lambda_OdB,tc_fun(tc_nat,tc_fun(tc_Type_Otype,tc_bool))),hAPP(hAPP(c_COMBB(tc_fun(tc_nat,tc_fun(tc_Lambda_OdB,tc_fun(tc_Type_Otype,tc_bool))),tc_fun(tc_Lambda_OdB,tc_fun(tc_nat,tc_fun(tc_Type_Otype,tc_bool))),tc_fun(tc_nat,tc_Type_Otype)),c_COMBC(tc_nat,tc_Lambda_OdB,tc_fun(tc_Type_Otype,tc_bool))),hAPP(hAPP(c_COMBB(tc_fun(tc_nat,tc_fun(tc_nat,tc_Type_Otype)),tc_fun(tc_nat,tc_fun(tc_Lambda_OdB,tc_fun(tc_Type_Otype,tc_bool))),tc_fun(tc_nat,tc_Type_Otype)),hAPP(c_COMBB(tc_fun(tc_nat,tc_Type_Otype),tc_fun(tc_Lambda_OdB,tc_fun(tc_Type_Otype,tc_bool)),tc_nat),c_Type_Otyping)),hAPP(hAPP(c_COMBC(tc_fun(tc_nat,tc_Type_Otype),tc_Type_Otype,tc_fun(tc_nat,tc_fun(tc_nat,tc_Type_Otype))),hAPP(hAPP(c_COMBB(tc_fun(tc_nat,tc_fun(tc_Type_Otype,tc_fun(tc_nat,tc_Type_Otype))),tc_fun(tc_Type_Otype,tc_fun(tc_nat,tc_fun(tc_nat,tc_Type_Otype))),tc_fun(tc_nat,tc_Type_Otype)),c_COMBC(tc_nat,tc_Type_Otype,tc_fun(tc_nat,tc_Type_Otype))),c_Type_Oshift(tc_Type_Otype))),v_T____))))))))))),hAPP(hAPP(c_COMBB(tc_fun(tc_fun(tc_nat,tc_Type_Otype),tc_fun(tc_Lambda_OdB,tc_fun(tc_nat,tc_bool))),tc_fun(tc_fun(tc_nat,tc_Type_Otype),tc_fun(tc_Lambda_OdB,tc_fun(tc_nat,tc_bool))),tc_Lambda_OdB),hAPP(c_COMBB(tc_fun(tc_Lambda_OdB,tc_fun(tc_nat,tc_bool)),tc_fun(tc_Lambda_OdB,tc_fun(tc_nat,tc_bool)),tc_fun(tc_nat,tc_Type_Otype)),hAPP(c_COMBS(tc_Lambda_OdB,tc_fun(tc_nat,tc_bool),tc_fun(tc_nat,tc_bool)),hAPP(hAPP(c_COMBB(tc_fun(tc_bool,tc_bool),tc_fun(tc_fun(tc_nat,tc_bool),tc_fun(tc_nat,tc_bool)),tc_Lambda_OdB),c_COMBB(tc_bool,tc_bool,tc_nat)),hAPP(hAPP(c_COMBB(tc_bool,tc_fun(tc_bool,tc_bool),tc_Lambda_OdB),c_implies),c_InductTermi_OIT))))),hAPP(hAPP(c_COMBB(tc_fun(tc_Lambda_OdB,tc_fun(tc_nat,tc_bool)),tc_fun(tc_fun(tc_nat,tc_Type_Otype),tc_fun(tc_Lambda_OdB,tc_fun(tc_nat,tc_bool))),tc_Lambda_OdB),hAPP(c_COMBC(tc_fun(tc_nat,tc_Type_Otype),tc_fun(tc_Lambda_OdB,tc_fun(tc_nat,tc_bool)),tc_fun(tc_Lambda_OdB,tc_fun(tc_nat,tc_bool))),hAPP(hAPP(c_COMBB(tc_fun(tc_Lambda_OdB,tc_fun(tc_fun(tc_nat,tc_bool),tc_fun(tc_nat,tc_bool))),tc_fun(tc_fun(tc_Lambda_OdB,tc_fun(tc_nat,tc_bool)),tc_fun(tc_Lambda_OdB,tc_fun(tc_nat,tc_bool))),tc_fun(tc_nat,tc_Type_Otype)),c_COMBS(tc_Lambda_OdB,tc_fun(tc_nat,tc_bool),tc_fun(tc_nat,tc_bool))),hAPP(hAPP(c_COMBB(tc_fun(tc_Lambda_OdB,tc_fun(tc_bool,tc_bool)),tc_fun(tc_Lambda_OdB,tc_fun(tc_fun(tc_nat,tc_bool),tc_fun(tc_nat,tc_bool))),tc_fun(tc_nat,tc_Type_Otype)),hAPP(c_COMBB(tc_fun(tc_bool,tc_bool),tc_fun(tc_fun(tc_nat,tc_bool),tc_fun(tc_nat,tc_bool)),tc_Lambda_OdB),c_COMBB(tc_bool,tc_bool,tc_nat))),hAPP(hAPP(c_COMBB(tc_fun(tc_Lambda_OdB,tc_bool),tc_fun(tc_Lambda_OdB,tc_fun(tc_bool,tc_bool)),tc_fun(tc_nat,tc_Type_Otype)),hAPP(c_COMBB(tc_bool,tc_fun(tc_bool,tc_bool),tc_Lambda_OdB),c_implies)),hAPP(hAPP(c_COMBC(tc_fun(tc_nat,tc_Type_Otype),tc_Type_Otype,tc_fun(tc_Lambda_OdB,tc_bool)),hAPP(hAPP(c_COMBB(tc_fun(tc_Lambda_OdB,tc_fun(tc_Type_Otype,tc_bool)),tc_fun(tc_Type_Otype,tc_fun(tc_Lambda_OdB,tc_bool)),tc_fun(tc_nat,tc_Type_Otype)),c_COMBC(tc_Lambda_OdB,tc_Type_Otype,tc_bool)),c_Type_Otyping)),v_T____)))))),hAPP(hAPP(c_COMBB(tc_fun(tc_Lambda_OdB,tc_fun(tc_nat,tc_Lambda_OdB)),tc_fun(tc_Lambda_OdB,tc_fun(tc_nat,tc_bool)),tc_Lambda_OdB),hAPP(c_COMBB(tc_fun(tc_nat,tc_Lambda_OdB),tc_fun(tc_nat,tc_bool),tc_Lambda_OdB),hAPP(c_COMBB(tc_Lambda_OdB,tc_bool,tc_nat),c_InductTermi_OIT))),c_Lambda_Osubst))))))))),v_rs____,tc_Lambda_OdB)))).
% 1.01/1.16 cnf(i_0_1541, negated_conjecture, (~hBOOL(c_List_Olistsp(hAPP(hAPP(c_COMBS(tc_Lambda_OdB,tc_bool,tc_bool),hAPP(hAPP(c_COMBB(tc_bool,tc_fun(tc_bool,tc_bool),tc_Lambda_OdB),c_and),hAPP(hAPP(c_COMBB(tc_fun(tc_fun(tc_nat,tc_Type_Otype),tc_bool),tc_bool,tc_Lambda_OdB),c_All(tc_fun(tc_nat,tc_Type_Otype))),hAPP(hAPP(c_COMBB(tc_fun(tc_fun(tc_nat,tc_Type_Otype),tc_fun(tc_Type_Otype,tc_bool)),tc_fun(tc_fun(tc_nat,tc_Type_Otype),tc_bool),tc_Lambda_OdB),hAPP(c_COMBB(tc_fun(tc_Type_Otype,tc_bool),tc_bool,tc_fun(tc_nat,tc_Type_Otype)),c_All(tc_Type_Otype))),hAPP(hAPP(c_COMBB(tc_fun(tc_fun(tc_nat,tc_Type_Otype),tc_fun(tc_Type_Otype,tc_fun(tc_Lambda_OdB,tc_bool))),tc_fun(tc_fun(tc_nat,tc_Type_Otype),tc_fun(tc_Type_Otype,tc_bool)),tc_Lambda_OdB),hAPP(c_COMBB(tc_fun(tc_Type_Otype,tc_fun(tc_Lambda_OdB,tc_bool)),tc_fun(tc_Type_Otype,tc_bool),tc_fun(tc_nat,tc_Type_Otype)),hAPP(c_COMBB(tc_fun(tc_Lambda_OdB,tc_bool),tc_bool,tc_Type_Otype),c_All(tc_Lambda_OdB)))),hAPP(hAPP(c_COMBB(tc_fun(tc_fun(tc_nat,tc_Type_Otype),tc_fun(tc_Type_Otype,tc_fun(tc_Lambda_OdB,tc_fun(tc_nat,tc_bool)))),tc_fun(tc_fun(tc_nat,tc_Type_Otype),tc_fun(tc_Type_Otype,tc_fun(tc_Lambda_OdB,tc_bool))),tc_Lambda_OdB),hAPP(c_COMBB(tc_fun(tc_Type_Otype,tc_fun(tc_Lambda_OdB,tc_fun(tc_nat,tc_bool))),tc_fun(tc_Type_Otype,tc_fun(tc_Lambda_OdB,tc_bool)),tc_fun(tc_nat,tc_Type_Otype)),hAPP(c_COMBB(tc_fun(tc_Lambda_OdB,tc_fun(tc_nat,tc_bool)),tc_fun(tc_Lambda_OdB,tc_bool),tc_Type_Otype),hAPP(c_COMBB(tc_fun(tc_nat,tc_bool),tc_bool,tc_Lambda_OdB),c_All(tc_nat))))),hAPP(hAPP(c_COMBS(tc_Lambda_OdB,tc_fun(tc_fun(tc_nat,tc_Type_Otype),tc_fun(tc_Lambda_OdB,tc_fun(tc_nat,tc_bool))),tc_fun(tc_fun(tc_nat,tc_Type_Otype),tc_fun(tc_Type_Otype,tc_fun(tc_Lambda_OdB,tc_fun(tc_nat,tc_bool))))),hAPP(hAPP(c_COMBB(tc_fun(tc_fun(tc_nat,tc_Type_Otype),tc_fun(tc_fun(tc_Lambda_OdB,tc_fun(tc_nat,tc_bool)),tc_fun(tc_Type_Otype,tc_fun(tc_Lambda_OdB,tc_fun(tc_nat,tc_bool))))),tc_fun(tc_fun(tc_fun(tc_nat,tc_Type_Otype),tc_fun(tc_Lambda_OdB,tc_fun(tc_nat,tc_bool))),tc_fun(tc_fun(tc_nat,tc_Type_Otype),tc_fun(tc_Type_Otype,tc_fun(tc_Lambda_OdB,tc_fun(tc_nat,tc_bool))))),tc_Lambda_OdB),c_COMBS(tc_fun(tc_nat,tc_Type_Otype),tc_fun(tc_Lambda_OdB,tc_fun(tc_nat,tc_bool)),tc_fun(tc_Type_Otype,tc_fun(tc_Lambda_OdB,tc_fun(tc_nat,tc_bool))))),hAPP(hAPP(c_COMBB(tc_fun(tc_fun(tc_nat,tc_Type_Otype),tc_fun(tc_Type_Otype,tc_fun(tc_fun(tc_Lambda_OdB,tc_fun(tc_nat,tc_bool)),tc_fun(tc_Lambda_OdB,tc_fun(tc_nat,tc_bool))))),tc_fun(tc_fun(tc_nat,tc_Type_Otype),tc_fun(tc_fun(tc_Lambda_OdB,tc_fun(tc_nat,tc_bool)),tc_fun(tc_Type_Otype,tc_fun(tc_Lambda_OdB,tc_fun(tc_nat,tc_bool))))),tc_Lambda_OdB),hAPP(c_COMBB(tc_fun(tc_Type_Otype,tc_fun(tc_fun(tc_Lambda_OdB,tc_fun(tc_nat,tc_bool)),tc_fun(tc_Lambda_OdB,tc_fun(tc_nat,tc_bool)))),tc_fun(tc_fun(tc_Lambda_OdB,tc_fun(tc_nat,tc_bool)),tc_fun(tc_Type_Otype,tc_fun(tc_Lambda_OdB,tc_fun(tc_nat,tc_bool)))),tc_fun(tc_nat,tc_Type_Otype)),c_COMBC(tc_Type_Otype,tc_fun(tc_Lambda_OdB,tc_fun(tc_nat,tc_bool)),tc_fun(tc_Lambda_OdB,tc_fun(tc_nat,tc_bool))))),hAPP(hAPP(c_COMBB(tc_fun(tc_fun(tc_nat,tc_Type_Otype),tc_fun(tc_Type_Otype,tc_fun(tc_fun(tc_nat,tc_bool),tc_fun(tc_nat,tc_bool)))),tc_fun(tc_fun(tc_nat,tc_Type_Otype),tc_fun(tc_Type_Otype,tc_fun(tc_fun(tc_Lambda_OdB,tc_fun(tc_nat,tc_bool)),tc_fun(tc_Lambda_OdB,tc_fun(tc_nat,tc_bool))))),tc_Lambda_OdB),hAPP(c_COMBB(tc_fun(tc_Type_Otype,tc_fun(tc_fun(tc_nat,tc_bool),tc_fun(tc_nat,tc_bool))),tc_fun(tc_Type_Otype,tc_fun(tc_fun(tc_Lambda_OdB,tc_fun(tc_nat,tc_bool)),tc_fun(tc_Lambda_OdB,tc_fun(tc_nat,tc_bool)))),tc_fun(tc_nat,tc_Type_Otype)),hAPP(c_COMBB(tc_fun(tc_fun(tc_nat,tc_bool),tc_fun(tc_nat,tc_bool)),tc_fun(tc_fun(tc_Lambda_OdB,tc_fun(tc_nat,tc_bool)),tc_fun(tc_Lambda_OdB,tc_fun(tc_nat,tc_bool))),tc_Type_Otype),c_COMBB(tc_fun(tc_nat,tc_bool),tc_fun(tc_nat,tc_bool),tc_Lambda_OdB)))),hAPP(hAPP(c_COMBB(tc_fun(tc_fun(tc_nat,tc_Type_Otype),tc_fun(tc_Type_Otype,tc_fun(tc_nat,tc_fun(tc_bool,tc_bool)))),tc_fun(tc_fun(tc_nat,tc_Type_Otype),tc_fun(tc_Type_Otype,tc_fun(tc_fun(tc_nat,tc_bool),tc_fun(tc_nat,tc_bool)))),tc_Lambda_OdB),hAPP(c_COMBB(tc_fun(tc_Type_Otype,tc_fun(tc_nat,tc_fun(tc_bool,tc_bool))),tc_fun(tc_Type_Otype,tc_fun(tc_fun(tc_nat,tc_bool),tc_fun(tc_nat,tc_bool))),tc_fun(tc_nat,tc_Type_Otype)),hAPP(c_COMBB(tc_fun(tc_nat,tc_fun(tc_bool,tc_bool)),tc_fun(tc_fun(tc_nat,tc_bool),tc_fun(tc_nat,tc_bool)),tc_Type_Otype),c_COMBS(tc_nat,tc_bool,tc_bool)))),hAPP(hAPP(c_COMBB(tc_fun(tc_fun(tc_nat,tc_Type_Otype),tc_fun(tc_Type_Otype,tc_fun(tc_nat,tc_bool))),tc_fun(tc_fun(tc_nat,tc_Type_Otype),tc_fun(tc_Type_Otype,tc_fun(tc_nat,tc_fun(tc_bool,tc_bool)))),tc_Lambda_OdB),hAPP(c_COMBB(tc_fun(tc_Type_Otype,tc_fun(tc_nat,tc_bool)),tc_fun(tc_Type_Otype,tc_fun(tc_nat,tc_fun(tc_bool,tc_bool))),tc_fun(tc_nat,tc_Type_Otype)),hAPP(c_COMBB(tc_fun(tc_nat,tc_bool),tc_fun(tc_nat,tc_fun(tc_bool,tc_bool)),tc_Type_Otype),hAPP(c_COMBB(tc_bool,tc_fun(tc_bool,tc_bool),tc_nat),c_implies)))),hAPP(hAPP(c_COMBB(tc_fun(tc_fun(tc_nat,tc_Type_Otype),tc_fun(tc_nat,tc_fun(tc_Type_Otype,tc_bool))),tc_fun(tc_fun(tc_nat,tc_Type_Otype),tc_fun(tc_Type_Otype,tc_fun(tc_nat,tc_bool))),tc_Lambda_OdB),hAPP(c_COMBB(tc_fun(tc_nat,tc_fun(tc_Type_Otype,tc_bool)),tc_fun(tc_Type_Otype,tc_fun(tc_nat,tc_bool)),tc_fun(tc_nat,tc_Type_Otype)),c_COMBC(tc_nat,tc_Type_Otype,tc_bool))),hAPP(c_COMBC(tc_fun(tc_nat,tc_Type_Otype),tc_Lambda_OdB,tc_fun(tc_nat,tc_fun(tc_Type_Otype,tc_bool))),hAPP(hAPP(c_COMBB(tc_fun(tc_nat,tc_fun(tc_Lambda_OdB,tc_fun(tc_Type_Otype,tc_bool))),tc_fun(tc_Lambda_OdB,tc_fun(tc_nat,tc_fun(tc_Type_Otype,tc_bool))),tc_fun(tc_nat,tc_Type_Otype)),c_COMBC(tc_nat,tc_Lambda_OdB,tc_fun(tc_Type_Otype,tc_bool))),hAPP(hAPP(c_COMBB(tc_fun(tc_nat,tc_fun(tc_nat,tc_Type_Otype)),tc_fun(tc_nat,tc_fun(tc_Lambda_OdB,tc_fun(tc_Type_Otype,tc_bool))),tc_fun(tc_nat,tc_Type_Otype)),hAPP(c_COMBB(tc_fun(tc_nat,tc_Type_Otype),tc_fun(tc_Lambda_OdB,tc_fun(tc_Type_Otype,tc_bool)),tc_nat),c_Type_Otyping)),hAPP(hAPP(c_COMBC(tc_fun(tc_nat,tc_Type_Otype),tc_Type_Otype,tc_fun(tc_nat,tc_fun(tc_nat,tc_Type_Otype))),hAPP(hAPP(c_COMBB(tc_fun(tc_nat,tc_fun(tc_Type_Otype,tc_fun(tc_nat,tc_Type_Otype))),tc_fun(tc_Type_Otype,tc_fun(tc_nat,tc_fun(tc_nat,tc_Type_Otype))),tc_fun(tc_nat,tc_Type_Otype)),c_COMBC(tc_nat,tc_Type_Otype,tc_fun(tc_nat,tc_Type_Otype))),c_Type_Oshift(tc_Type_Otype))),v_T____))))))))))),hAPP(hAPP(c_COMBB(tc_fun(tc_fun(tc_nat,tc_Type_Otype),tc_fun(tc_Lambda_OdB,tc_fun(tc_nat,tc_bool))),tc_fun(tc_fun(tc_nat,tc_Type_Otype),tc_fun(tc_Lambda_OdB,tc_fun(tc_nat,tc_bool))),tc_Lambda_OdB),hAPP(c_COMBB(tc_fun(tc_Lambda_OdB,tc_fun(tc_nat,tc_bool)),tc_fun(tc_Lambda_OdB,tc_fun(tc_nat,tc_bool)),tc_fun(tc_nat,tc_Type_Otype)),hAPP(c_COMBS(tc_Lambda_OdB,tc_fun(tc_nat,tc_bool),tc_fun(tc_nat,tc_bool)),hAPP(hAPP(c_COMBB(tc_fun(tc_bool,tc_bool),tc_fun(tc_fun(tc_nat,tc_bool),tc_fun(tc_nat,tc_bool)),tc_Lambda_OdB),c_COMBB(tc_bool,tc_bool,tc_nat)),hAPP(hAPP(c_COMBB(tc_bool,tc_fun(tc_bool,tc_bool),tc_Lambda_OdB),c_implies),c_InductTermi_OIT))))),hAPP(hAPP(c_COMBB(tc_fun(tc_Lambda_OdB,tc_fun(tc_nat,tc_bool)),tc_fun(tc_fun(tc_nat,tc_Type_Otype),tc_fun(tc_Lambda_OdB,tc_fun(tc_nat,tc_bool))),tc_Lambda_OdB),hAPP(c_COMBC(tc_fun(tc_nat,tc_Type_Otype),tc_fun(tc_Lambda_OdB,tc_fun(tc_nat,tc_bool)),tc_fun(tc_Lambda_OdB,tc_fun(tc_nat,tc_bool))),hAPP(hAPP(c_COMBB(tc_fun(tc_Lambda_OdB,tc_fun(tc_fun(tc_nat,tc_bool),tc_fun(tc_nat,tc_bool))),tc_fun(tc_fun(tc_Lambda_OdB,tc_fun(tc_nat,tc_bool)),tc_fun(tc_Lambda_OdB,tc_fun(tc_nat,tc_bool))),tc_fun(tc_nat,tc_Type_Otype)),c_COMBS(tc_Lambda_OdB,tc_fun(tc_nat,tc_bool),tc_fun(tc_nat,tc_bool))),hAPP(hAPP(c_COMBB(tc_fun(tc_Lambda_OdB,tc_fun(tc_bool,tc_bool)),tc_fun(tc_Lambda_OdB,tc_fun(tc_fun(tc_nat,tc_bool),tc_fun(tc_nat,tc_bool))),tc_fun(tc_nat,tc_Type_Otype)),hAPP(c_COMBB(tc_fun(tc_bool,tc_bool),tc_fun(tc_fun(tc_nat,tc_bool),tc_fun(tc_nat,tc_bool)),tc_Lambda_OdB),c_COMBB(tc_bool,tc_bool,tc_nat))),hAPP(hAPP(c_COMBB(tc_fun(tc_Lambda_OdB,tc_bool),tc_fun(tc_Lambda_OdB,tc_fun(tc_bool,tc_bool)),tc_fun(tc_nat,tc_Type_Otype)),hAPP(c_COMBB(tc_bool,tc_fun(tc_bool,tc_bool),tc_Lambda_OdB),c_implies)),hAPP(hAPP(c_COMBC(tc_fun(tc_nat,tc_Type_Otype),tc_Type_Otype,tc_fun(tc_Lambda_OdB,tc_bool)),hAPP(hAPP(c_COMBB(tc_fun(tc_Lambda_OdB,tc_fun(tc_Type_Otype,tc_bool)),tc_fun(tc_Type_Otype,tc_fun(tc_Lambda_OdB,tc_bool)),tc_fun(tc_nat,tc_Type_Otype)),c_COMBC(tc_Lambda_OdB,tc_Type_Otype,tc_bool)),c_Type_Otyping)),v_T____)))))),hAPP(hAPP(c_COMBB(tc_fun(tc_Lambda_OdB,tc_fun(tc_nat,tc_Lambda_OdB)),tc_fun(tc_Lambda_OdB,tc_fun(tc_nat,tc_bool)),tc_Lambda_OdB),hAPP(c_COMBB(tc_fun(tc_nat,tc_Lambda_OdB),tc_fun(tc_nat,tc_bool),tc_Lambda_OdB),hAPP(c_COMBB(tc_Lambda_OdB,tc_bool,tc_nat),c_InductTermi_OIT))),c_Lambda_Osubst)))))))))),hAPP(hAPP(c_COMBB(tc_fun(tc_Type_Otype,tc_bool),tc_bool,tc_Lambda_OdB),c_Ex(tc_Type_Otype)),hAPP(c_Type_Otyping,hAPP(hAPP(hAPP(c_Type_Oshift(tc_Type_Otype),v_e____),v_i____),v_T____)))),v_rs____,tc_Lambda_OdB)))).
% 1.01/1.16 # End listing active clauses. There is an equivalent clause to each of these in the clausification!
% 1.01/1.16 # Begin printing tableau
% 1.01/1.16 # Found 4 steps
% 1.01/1.16 cnf(i_0_1541, negated_conjecture, (~hBOOL(c_List_Olistsp(hAPP(hAPP(c_COMBS(tc_Lambda_OdB,tc_bool,tc_bool),hAPP(hAPP(c_COMBB(tc_bool,tc_fun(tc_bool,tc_bool),tc_Lambda_OdB),c_and),hAPP(hAPP(c_COMBB(tc_fun(tc_fun(tc_nat,tc_Type_Otype),tc_bool),tc_bool,tc_Lambda_OdB),c_All(tc_fun(tc_nat,tc_Type_Otype))),hAPP(hAPP(c_COMBB(tc_fun(tc_fun(tc_nat,tc_Type_Otype),tc_fun(tc_Type_Otype,tc_bool)),tc_fun(tc_fun(tc_nat,tc_Type_Otype),tc_bool),tc_Lambda_OdB),hAPP(c_COMBB(tc_fun(tc_Type_Otype,tc_bool),tc_bool,tc_fun(tc_nat,tc_Type_Otype)),c_All(tc_Type_Otype))),hAPP(hAPP(c_COMBB(tc_fun(tc_fun(tc_nat,tc_Type_Otype),tc_fun(tc_Type_Otype,tc_fun(tc_Lambda_OdB,tc_bool))),tc_fun(tc_fun(tc_nat,tc_Type_Otype),tc_fun(tc_Type_Otype,tc_bool)),tc_Lambda_OdB),hAPP(c_COMBB(tc_fun(tc_Type_Otype,tc_fun(tc_Lambda_OdB,tc_bool)),tc_fun(tc_Type_Otype,tc_bool),tc_fun(tc_nat,tc_Type_Otype)),hAPP(c_COMBB(tc_fun(tc_Lambda_OdB,tc_bool),tc_bool,tc_Type_Otype),c_All(tc_Lambda_OdB)))),hAPP(hAPP(c_COMBB(tc_fun(tc_fun(tc_nat,tc_Type_Otype),tc_fun(tc_Type_Otype,tc_fun(tc_Lambda_OdB,tc_fun(tc_nat,tc_bool)))),tc_fun(tc_fun(tc_nat,tc_Type_Otype),tc_fun(tc_Type_Otype,tc_fun(tc_Lambda_OdB,tc_bool))),tc_Lambda_OdB),hAPP(c_COMBB(tc_fun(tc_Type_Otype,tc_fun(tc_Lambda_OdB,tc_fun(tc_nat,tc_bool))),tc_fun(tc_Type_Otype,tc_fun(tc_Lambda_OdB,tc_bool)),tc_fun(tc_nat,tc_Type_Otype)),hAPP(c_COMBB(tc_fun(tc_Lambda_OdB,tc_fun(tc_nat,tc_bool)),tc_fun(tc_Lambda_OdB,tc_bool),tc_Type_Otype),hAPP(c_COMBB(tc_fun(tc_nat,tc_bool),tc_bool,tc_Lambda_OdB),c_All(tc_nat))))),hAPP(hAPP(c_COMBS(tc_Lambda_OdB,tc_fun(tc_fun(tc_nat,tc_Type_Otype),tc_fun(tc_Lambda_OdB,tc_fun(tc_nat,tc_bool))),tc_fun(tc_fun(tc_nat,tc_Type_Otype),tc_fun(tc_Type_Otype,tc_fun(tc_Lambda_OdB,tc_fun(tc_nat,tc_bool))))),hAPP(hAPP(c_COMBB(tc_fun(tc_fun(tc_nat,tc_Type_Otype),tc_fun(tc_fun(tc_Lambda_OdB,tc_fun(tc_nat,tc_bool)),tc_fun(tc_Type_Otype,tc_fun(tc_Lambda_OdB,tc_fun(tc_nat,tc_bool))))),tc_fun(tc_fun(tc_fun(tc_nat,tc_Type_Otype),tc_fun(tc_Lambda_OdB,tc_fun(tc_nat,tc_bool))),tc_fun(tc_fun(tc_nat,tc_Type_Otype),tc_fun(tc_Type_Otype,tc_fun(tc_Lambda_OdB,tc_fun(tc_nat,tc_bool))))),tc_Lambda_OdB),c_COMBS(tc_fun(tc_nat,tc_Type_Otype),tc_fun(tc_Lambda_OdB,tc_fun(tc_nat,tc_bool)),tc_fun(tc_Type_Otype,tc_fun(tc_Lambda_OdB,tc_fun(tc_nat,tc_bool))))),hAPP(hAPP(c_COMBB(tc_fun(tc_fun(tc_nat,tc_Type_Otype),tc_fun(tc_Type_Otype,tc_fun(tc_fun(tc_Lambda_OdB,tc_fun(tc_nat,tc_bool)),tc_fun(tc_Lambda_OdB,tc_fun(tc_nat,tc_bool))))),tc_fun(tc_fun(tc_nat,tc_Type_Otype),tc_fun(tc_fun(tc_Lambda_OdB,tc_fun(tc_nat,tc_bool)),tc_fun(tc_Type_Otype,tc_fun(tc_Lambda_OdB,tc_fun(tc_nat,tc_bool))))),tc_Lambda_OdB),hAPP(c_COMBB(tc_fun(tc_Type_Otype,tc_fun(tc_fun(tc_Lambda_OdB,tc_fun(tc_nat,tc_bool)),tc_fun(tc_Lambda_OdB,tc_fun(tc_nat,tc_bool)))),tc_fun(tc_fun(tc_Lambda_OdB,tc_fun(tc_nat,tc_bool)),tc_fun(tc_Type_Otype,tc_fun(tc_Lambda_OdB,tc_fun(tc_nat,tc_bool)))),tc_fun(tc_nat,tc_Type_Otype)),c_COMBC(tc_Type_Otype,tc_fun(tc_Lambda_OdB,tc_fun(tc_nat,tc_bool)),tc_fun(tc_Lambda_OdB,tc_fun(tc_nat,tc_bool))))),hAPP(hAPP(c_COMBB(tc_fun(tc_fun(tc_nat,tc_Type_Otype),tc_fun(tc_Type_Otype,tc_fun(tc_fun(tc_nat,tc_bool),tc_fun(tc_nat,tc_bool)))),tc_fun(tc_fun(tc_nat,tc_Type_Otype),tc_fun(tc_Type_Otype,tc_fun(tc_fun(tc_Lambda_OdB,tc_fun(tc_nat,tc_bool)),tc_fun(tc_Lambda_OdB,tc_fun(tc_nat,tc_bool))))),tc_Lambda_OdB),hAPP(c_COMBB(tc_fun(tc_Type_Otype,tc_fun(tc_fun(tc_nat,tc_bool),tc_fun(tc_nat,tc_bool))),tc_fun(tc_Type_Otype,tc_fun(tc_fun(tc_Lambda_OdB,tc_fun(tc_nat,tc_bool)),tc_fun(tc_Lambda_OdB,tc_fun(tc_nat,tc_bool)))),tc_fun(tc_nat,tc_Type_Otype)),hAPP(c_COMBB(tc_fun(tc_fun(tc_nat,tc_bool),tc_fun(tc_nat,tc_bool)),tc_fun(tc_fun(tc_Lambda_OdB,tc_fun(tc_nat,tc_bool)),tc_fun(tc_Lambda_OdB,tc_fun(tc_nat,tc_bool))),tc_Type_Otype),c_COMBB(tc_fun(tc_nat,tc_bool),tc_fun(tc_nat,tc_bool),tc_Lambda_OdB)))),hAPP(hAPP(c_COMBB(tc_fun(tc_fun(tc_nat,tc_Type_Otype),tc_fun(tc_Type_Otype,tc_fun(tc_nat,tc_fun(tc_bool,tc_bool)))),tc_fun(tc_fun(tc_nat,tc_Type_Otype),tc_fun(tc_Type_Otype,tc_fun(tc_fun(tc_nat,tc_bool),tc_fun(tc_nat,tc_bool)))),tc_Lambda_OdB),hAPP(c_COMBB(tc_fun(tc_Type_Otype,tc_fun(tc_nat,tc_fun(tc_bool,tc_bool))),tc_fun(tc_Type_Otype,tc_fun(tc_fun(tc_nat,tc_bool),tc_fun(tc_nat,tc_bool))),tc_fun(tc_nat,tc_Type_Otype)),hAPP(c_COMBB(tc_fun(tc_nat,tc_fun(tc_bool,tc_bool)),tc_fun(tc_fun(tc_nat,tc_bool),tc_fun(tc_nat,tc_bool)),tc_Type_Otype),c_COMBS(tc_nat,tc_bool,tc_bool)))),hAPP(hAPP(c_COMBB(tc_fun(tc_fun(tc_nat,tc_Type_Otype),tc_fun(tc_Type_Otype,tc_fun(tc_nat,tc_bool))),tc_fun(tc_fun(tc_nat,tc_Type_Otype),tc_fun(tc_Type_Otype,tc_fun(tc_nat,tc_fun(tc_bool,tc_bool)))),tc_Lambda_OdB),hAPP(c_COMBB(tc_fun(tc_Type_Otype,tc_fun(tc_nat,tc_bool)),tc_fun(tc_Type_Otype,tc_fun(tc_nat,tc_fun(tc_bool,tc_bool))),tc_fun(tc_nat,tc_Type_Otype)),hAPP(c_COMBB(tc_fun(tc_nat,tc_bool),tc_fun(tc_nat,tc_fun(tc_bool,tc_bool)),tc_Type_Otype),hAPP(c_COMBB(tc_bool,tc_fun(tc_bool,tc_bool),tc_nat),c_implies)))),hAPP(hAPP(c_COMBB(tc_fun(tc_fun(tc_nat,tc_Type_Otype),tc_fun(tc_nat,tc_fun(tc_Type_Otype,tc_bool))),tc_fun(tc_fun(tc_nat,tc_Type_Otype),tc_fun(tc_Type_Otype,tc_fun(tc_nat,tc_bool))),tc_Lambda_OdB),hAPP(c_COMBB(tc_fun(tc_nat,tc_fun(tc_Type_Otype,tc_bool)),tc_fun(tc_Type_Otype,tc_fun(tc_nat,tc_bool)),tc_fun(tc_nat,tc_Type_Otype)),c_COMBC(tc_nat,tc_Type_Otype,tc_bool))),hAPP(c_COMBC(tc_fun(tc_nat,tc_Type_Otype),tc_Lambda_OdB,tc_fun(tc_nat,tc_fun(tc_Type_Otype,tc_bool))),hAPP(hAPP(c_COMBB(tc_fun(tc_nat,tc_fun(tc_Lambda_OdB,tc_fun(tc_Type_Otype,tc_bool))),tc_fun(tc_Lambda_OdB,tc_fun(tc_nat,tc_fun(tc_Type_Otype,tc_bool))),tc_fun(tc_nat,tc_Type_Otype)),c_COMBC(tc_nat,tc_Lambda_OdB,tc_fun(tc_Type_Otype,tc_bool))),hAPP(hAPP(c_COMBB(tc_fun(tc_nat,tc_fun(tc_nat,tc_Type_Otype)),tc_fun(tc_nat,tc_fun(tc_Lambda_OdB,tc_fun(tc_Type_Otype,tc_bool))),tc_fun(tc_nat,tc_Type_Otype)),hAPP(c_COMBB(tc_fun(tc_nat,tc_Type_Otype),tc_fun(tc_Lambda_OdB,tc_fun(tc_Type_Otype,tc_bool)),tc_nat),c_Type_Otyping)),hAPP(hAPP(c_COMBC(tc_fun(tc_nat,tc_Type_Otype),tc_Type_Otype,tc_fun(tc_nat,tc_fun(tc_nat,tc_Type_Otype))),hAPP(hAPP(c_COMBB(tc_fun(tc_nat,tc_fun(tc_Type_Otype,tc_fun(tc_nat,tc_Type_Otype))),tc_fun(tc_Type_Otype,tc_fun(tc_nat,tc_fun(tc_nat,tc_Type_Otype))),tc_fun(tc_nat,tc_Type_Otype)),c_COMBC(tc_nat,tc_Type_Otype,tc_fun(tc_nat,tc_Type_Otype))),c_Type_Oshift(tc_Type_Otype))),v_T____))))))))))),hAPP(hAPP(c_COMBB(tc_fun(tc_fun(tc_nat,tc_Type_Otype),tc_fun(tc_Lambda_OdB,tc_fun(tc_nat,tc_bool))),tc_fun(tc_fun(tc_nat,tc_Type_Otype),tc_fun(tc_Lambda_OdB,tc_fun(tc_nat,tc_bool))),tc_Lambda_OdB),hAPP(c_COMBB(tc_fun(tc_Lambda_OdB,tc_fun(tc_nat,tc_bool)),tc_fun(tc_Lambda_OdB,tc_fun(tc_nat,tc_bool)),tc_fun(tc_nat,tc_Type_Otype)),hAPP(c_COMBS(tc_Lambda_OdB,tc_fun(tc_nat,tc_bool),tc_fun(tc_nat,tc_bool)),hAPP(hAPP(c_COMBB(tc_fun(tc_bool,tc_bool),tc_fun(tc_fun(tc_nat,tc_bool),tc_fun(tc_nat,tc_bool)),tc_Lambda_OdB),c_COMBB(tc_bool,tc_bool,tc_nat)),hAPP(hAPP(c_COMBB(tc_bool,tc_fun(tc_bool,tc_bool),tc_Lambda_OdB),c_implies),c_InductTermi_OIT))))),hAPP(hAPP(c_COMBB(tc_fun(tc_Lambda_OdB,tc_fun(tc_nat,tc_bool)),tc_fun(tc_fun(tc_nat,tc_Type_Otype),tc_fun(tc_Lambda_OdB,tc_fun(tc_nat,tc_bool))),tc_Lambda_OdB),hAPP(c_COMBC(tc_fun(tc_nat,tc_Type_Otype),tc_fun(tc_Lambda_OdB,tc_fun(tc_nat,tc_bool)),tc_fun(tc_Lambda_OdB,tc_fun(tc_nat,tc_bool))),hAPP(hAPP(c_COMBB(tc_fun(tc_Lambda_OdB,tc_fun(tc_fun(tc_nat,tc_bool),tc_fun(tc_nat,tc_bool))),tc_fun(tc_fun(tc_Lambda_OdB,tc_fun(tc_nat,tc_bool)),tc_fun(tc_Lambda_OdB,tc_fun(tc_nat,tc_bool))),tc_fun(tc_nat,tc_Type_Otype)),c_COMBS(tc_Lambda_OdB,tc_fun(tc_nat,tc_bool),tc_fun(tc_nat,tc_bool))),hAPP(hAPP(c_COMBB(tc_fun(tc_Lambda_OdB,tc_fun(tc_bool,tc_bool)),tc_fun(tc_Lambda_OdB,tc_fun(tc_fun(tc_nat,tc_bool),tc_fun(tc_nat,tc_bool))),tc_fun(tc_nat,tc_Type_Otype)),hAPP(c_COMBB(tc_fun(tc_bool,tc_bool),tc_fun(tc_fun(tc_nat,tc_bool),tc_fun(tc_nat,tc_bool)),tc_Lambda_OdB),c_COMBB(tc_bool,tc_bool,tc_nat))),hAPP(hAPP(c_COMBB(tc_fun(tc_Lambda_OdB,tc_bool),tc_fun(tc_Lambda_OdB,tc_fun(tc_bool,tc_bool)),tc_fun(tc_nat,tc_Type_Otype)),hAPP(c_COMBB(tc_bool,tc_fun(tc_bool,tc_bool),tc_Lambda_OdB),c_implies)),hAPP(hAPP(c_COMBC(tc_fun(tc_nat,tc_Type_Otype),tc_Type_Otype,tc_fun(tc_Lambda_OdB,tc_bool)),hAPP(hAPP(c_COMBB(tc_fun(tc_Lambda_OdB,tc_fun(tc_Type_Otype,tc_bool)),tc_fun(tc_Type_Otype,tc_fun(tc_Lambda_OdB,tc_bool)),tc_fun(tc_nat,tc_Type_Otype)),c_COMBC(tc_Lambda_OdB,tc_Type_Otype,tc_bool)),c_Type_Otyping)),v_T____)))))),hAPP(hAPP(c_COMBB(tc_fun(tc_Lambda_OdB,tc_fun(tc_nat,tc_Lambda_OdB)),tc_fun(tc_Lambda_OdB,tc_fun(tc_nat,tc_bool)),tc_Lambda_OdB),hAPP(c_COMBB(tc_fun(tc_nat,tc_Lambda_OdB),tc_fun(tc_nat,tc_bool),tc_Lambda_OdB),hAPP(c_COMBB(tc_Lambda_OdB,tc_bool,tc_nat),c_InductTermi_OIT))),c_Lambda_Osubst)))))))))),hAPP(hAPP(c_COMBB(tc_fun(tc_Type_Otype,tc_bool),tc_bool,tc_Lambda_OdB),c_Ex(tc_Type_Otype)),hAPP(c_Type_Otyping,hAPP(hAPP(hAPP(c_Type_Oshift(tc_Type_Otype),v_e____),v_i____),v_T____)))),v_rs____,tc_Lambda_OdB))), inference(start_rule)).
% 1.01/1.16 cnf(i_0_1597, plain, (~hBOOL(c_List_Olistsp(hAPP(hAPP(c_COMBS(tc_Lambda_OdB,tc_bool,tc_bool),hAPP(hAPP(c_COMBB(tc_bool,tc_fun(tc_bool,tc_bool),tc_Lambda_OdB),c_and),hAPP(hAPP(c_COMBB(tc_fun(tc_fun(tc_nat,tc_Type_Otype),tc_bool),tc_bool,tc_Lambda_OdB),c_All(tc_fun(tc_nat,tc_Type_Otype))),hAPP(hAPP(c_COMBB(tc_fun(tc_fun(tc_nat,tc_Type_Otype),tc_fun(tc_Type_Otype,tc_bool)),tc_fun(tc_fun(tc_nat,tc_Type_Otype),tc_bool),tc_Lambda_OdB),hAPP(c_COMBB(tc_fun(tc_Type_Otype,tc_bool),tc_bool,tc_fun(tc_nat,tc_Type_Otype)),c_All(tc_Type_Otype))),hAPP(hAPP(c_COMBB(tc_fun(tc_fun(tc_nat,tc_Type_Otype),tc_fun(tc_Type_Otype,tc_fun(tc_Lambda_OdB,tc_bool))),tc_fun(tc_fun(tc_nat,tc_Type_Otype),tc_fun(tc_Type_Otype,tc_bool)),tc_Lambda_OdB),hAPP(c_COMBB(tc_fun(tc_Type_Otype,tc_fun(tc_Lambda_OdB,tc_bool)),tc_fun(tc_Type_Otype,tc_bool),tc_fun(tc_nat,tc_Type_Otype)),hAPP(c_COMBB(tc_fun(tc_Lambda_OdB,tc_bool),tc_bool,tc_Type_Otype),c_All(tc_Lambda_OdB)))),hAPP(hAPP(c_COMBB(tc_fun(tc_fun(tc_nat,tc_Type_Otype),tc_fun(tc_Type_Otype,tc_fun(tc_Lambda_OdB,tc_fun(tc_nat,tc_bool)))),tc_fun(tc_fun(tc_nat,tc_Type_Otype),tc_fun(tc_Type_Otype,tc_fun(tc_Lambda_OdB,tc_bool))),tc_Lambda_OdB),hAPP(c_COMBB(tc_fun(tc_Type_Otype,tc_fun(tc_Lambda_OdB,tc_fun(tc_nat,tc_bool))),tc_fun(tc_Type_Otype,tc_fun(tc_Lambda_OdB,tc_bool)),tc_fun(tc_nat,tc_Type_Otype)),hAPP(c_COMBB(tc_fun(tc_Lambda_OdB,tc_fun(tc_nat,tc_bool)),tc_fun(tc_Lambda_OdB,tc_bool),tc_Type_Otype),hAPP(c_COMBB(tc_fun(tc_nat,tc_bool),tc_bool,tc_Lambda_OdB),c_All(tc_nat))))),hAPP(hAPP(c_COMBS(tc_Lambda_OdB,tc_fun(tc_fun(tc_nat,tc_Type_Otype),tc_fun(tc_Lambda_OdB,tc_fun(tc_nat,tc_bool))),tc_fun(tc_fun(tc_nat,tc_Type_Otype),tc_fun(tc_Type_Otype,tc_fun(tc_Lambda_OdB,tc_fun(tc_nat,tc_bool))))),hAPP(hAPP(c_COMBB(tc_fun(tc_fun(tc_nat,tc_Type_Otype),tc_fun(tc_fun(tc_Lambda_OdB,tc_fun(tc_nat,tc_bool)),tc_fun(tc_Type_Otype,tc_fun(tc_Lambda_OdB,tc_fun(tc_nat,tc_bool))))),tc_fun(tc_fun(tc_fun(tc_nat,tc_Type_Otype),tc_fun(tc_Lambda_OdB,tc_fun(tc_nat,tc_bool))),tc_fun(tc_fun(tc_nat,tc_Type_Otype),tc_fun(tc_Type_Otype,tc_fun(tc_Lambda_OdB,tc_fun(tc_nat,tc_bool))))),tc_Lambda_OdB),c_COMBS(tc_fun(tc_nat,tc_Type_Otype),tc_fun(tc_Lambda_OdB,tc_fun(tc_nat,tc_bool)),tc_fun(tc_Type_Otype,tc_fun(tc_Lambda_OdB,tc_fun(tc_nat,tc_bool))))),hAPP(hAPP(c_COMBB(tc_fun(tc_fun(tc_nat,tc_Type_Otype),tc_fun(tc_Type_Otype,tc_fun(tc_fun(tc_Lambda_OdB,tc_fun(tc_nat,tc_bool)),tc_fun(tc_Lambda_OdB,tc_fun(tc_nat,tc_bool))))),tc_fun(tc_fun(tc_nat,tc_Type_Otype),tc_fun(tc_fun(tc_Lambda_OdB,tc_fun(tc_nat,tc_bool)),tc_fun(tc_Type_Otype,tc_fun(tc_Lambda_OdB,tc_fun(tc_nat,tc_bool))))),tc_Lambda_OdB),hAPP(c_COMBB(tc_fun(tc_Type_Otype,tc_fun(tc_fun(tc_Lambda_OdB,tc_fun(tc_nat,tc_bool)),tc_fun(tc_Lambda_OdB,tc_fun(tc_nat,tc_bool)))),tc_fun(tc_fun(tc_Lambda_OdB,tc_fun(tc_nat,tc_bool)),tc_fun(tc_Type_Otype,tc_fun(tc_Lambda_OdB,tc_fun(tc_nat,tc_bool)))),tc_fun(tc_nat,tc_Type_Otype)),c_COMBC(tc_Type_Otype,tc_fun(tc_Lambda_OdB,tc_fun(tc_nat,tc_bool)),tc_fun(tc_Lambda_OdB,tc_fun(tc_nat,tc_bool))))),hAPP(hAPP(c_COMBB(tc_fun(tc_fun(tc_nat,tc_Type_Otype),tc_fun(tc_Type_Otype,tc_fun(tc_fun(tc_nat,tc_bool),tc_fun(tc_nat,tc_bool)))),tc_fun(tc_fun(tc_nat,tc_Type_Otype),tc_fun(tc_Type_Otype,tc_fun(tc_fun(tc_Lambda_OdB,tc_fun(tc_nat,tc_bool)),tc_fun(tc_Lambda_OdB,tc_fun(tc_nat,tc_bool))))),tc_Lambda_OdB),hAPP(c_COMBB(tc_fun(tc_Type_Otype,tc_fun(tc_fun(tc_nat,tc_bool),tc_fun(tc_nat,tc_bool))),tc_fun(tc_Type_Otype,tc_fun(tc_fun(tc_Lambda_OdB,tc_fun(tc_nat,tc_bool)),tc_fun(tc_Lambda_OdB,tc_fun(tc_nat,tc_bool)))),tc_fun(tc_nat,tc_Type_Otype)),hAPP(c_COMBB(tc_fun(tc_fun(tc_nat,tc_bool),tc_fun(tc_nat,tc_bool)),tc_fun(tc_fun(tc_Lambda_OdB,tc_fun(tc_nat,tc_bool)),tc_fun(tc_Lambda_OdB,tc_fun(tc_nat,tc_bool))),tc_Type_Otype),c_COMBB(tc_fun(tc_nat,tc_bool),tc_fun(tc_nat,tc_bool),tc_Lambda_OdB)))),hAPP(hAPP(c_COMBB(tc_fun(tc_fun(tc_nat,tc_Type_Otype),tc_fun(tc_Type_Otype,tc_fun(tc_nat,tc_fun(tc_bool,tc_bool)))),tc_fun(tc_fun(tc_nat,tc_Type_Otype),tc_fun(tc_Type_Otype,tc_fun(tc_fun(tc_nat,tc_bool),tc_fun(tc_nat,tc_bool)))),tc_Lambda_OdB),hAPP(c_COMBB(tc_fun(tc_Type_Otype,tc_fun(tc_nat,tc_fun(tc_bool,tc_bool))),tc_fun(tc_Type_Otype,tc_fun(tc_fun(tc_nat,tc_bool),tc_fun(tc_nat,tc_bool))),tc_fun(tc_nat,tc_Type_Otype)),hAPP(c_COMBB(tc_fun(tc_nat,tc_fun(tc_bool,tc_bool)),tc_fun(tc_fun(tc_nat,tc_bool),tc_fun(tc_nat,tc_bool)),tc_Type_Otype),c_COMBS(tc_nat,tc_bool,tc_bool)))),hAPP(hAPP(c_COMBB(tc_fun(tc_fun(tc_nat,tc_Type_Otype),tc_fun(tc_Type_Otype,tc_fun(tc_nat,tc_bool))),tc_fun(tc_fun(tc_nat,tc_Type_Otype),tc_fun(tc_Type_Otype,tc_fun(tc_nat,tc_fun(tc_bool,tc_bool)))),tc_Lambda_OdB),hAPP(c_COMBB(tc_fun(tc_Type_Otype,tc_fun(tc_nat,tc_bool)),tc_fun(tc_Type_Otype,tc_fun(tc_nat,tc_fun(tc_bool,tc_bool))),tc_fun(tc_nat,tc_Type_Otype)),hAPP(c_COMBB(tc_fun(tc_nat,tc_bool),tc_fun(tc_nat,tc_fun(tc_bool,tc_bool)),tc_Type_Otype),hAPP(c_COMBB(tc_bool,tc_fun(tc_bool,tc_bool),tc_nat),c_implies)))),hAPP(hAPP(c_COMBB(tc_fun(tc_fun(tc_nat,tc_Type_Otype),tc_fun(tc_nat,tc_fun(tc_Type_Otype,tc_bool))),tc_fun(tc_fun(tc_nat,tc_Type_Otype),tc_fun(tc_Type_Otype,tc_fun(tc_nat,tc_bool))),tc_Lambda_OdB),hAPP(c_COMBB(tc_fun(tc_nat,tc_fun(tc_Type_Otype,tc_bool)),tc_fun(tc_Type_Otype,tc_fun(tc_nat,tc_bool)),tc_fun(tc_nat,tc_Type_Otype)),c_COMBC(tc_nat,tc_Type_Otype,tc_bool))),hAPP(c_COMBC(tc_fun(tc_nat,tc_Type_Otype),tc_Lambda_OdB,tc_fun(tc_nat,tc_fun(tc_Type_Otype,tc_bool))),hAPP(hAPP(c_COMBB(tc_fun(tc_nat,tc_fun(tc_Lambda_OdB,tc_fun(tc_Type_Otype,tc_bool))),tc_fun(tc_Lambda_OdB,tc_fun(tc_nat,tc_fun(tc_Type_Otype,tc_bool))),tc_fun(tc_nat,tc_Type_Otype)),c_COMBC(tc_nat,tc_Lambda_OdB,tc_fun(tc_Type_Otype,tc_bool))),hAPP(hAPP(c_COMBB(tc_fun(tc_nat,tc_fun(tc_nat,tc_Type_Otype)),tc_fun(tc_nat,tc_fun(tc_Lambda_OdB,tc_fun(tc_Type_Otype,tc_bool))),tc_fun(tc_nat,tc_Type_Otype)),hAPP(c_COMBB(tc_fun(tc_nat,tc_Type_Otype),tc_fun(tc_Lambda_OdB,tc_fun(tc_Type_Otype,tc_bool)),tc_nat),c_Type_Otyping)),hAPP(hAPP(c_COMBC(tc_fun(tc_nat,tc_Type_Otype),tc_Type_Otype,tc_fun(tc_nat,tc_fun(tc_nat,tc_Type_Otype))),hAPP(hAPP(c_COMBB(tc_fun(tc_nat,tc_fun(tc_Type_Otype,tc_fun(tc_nat,tc_Type_Otype))),tc_fun(tc_Type_Otype,tc_fun(tc_nat,tc_fun(tc_nat,tc_Type_Otype))),tc_fun(tc_nat,tc_Type_Otype)),c_COMBC(tc_nat,tc_Type_Otype,tc_fun(tc_nat,tc_Type_Otype))),c_Type_Oshift(tc_Type_Otype))),v_T____))))))))))),hAPP(hAPP(c_COMBB(tc_fun(tc_fun(tc_nat,tc_Type_Otype),tc_fun(tc_Lambda_OdB,tc_fun(tc_nat,tc_bool))),tc_fun(tc_fun(tc_nat,tc_Type_Otype),tc_fun(tc_Lambda_OdB,tc_fun(tc_nat,tc_bool))),tc_Lambda_OdB),hAPP(c_COMBB(tc_fun(tc_Lambda_OdB,tc_fun(tc_nat,tc_bool)),tc_fun(tc_Lambda_OdB,tc_fun(tc_nat,tc_bool)),tc_fun(tc_nat,tc_Type_Otype)),hAPP(c_COMBS(tc_Lambda_OdB,tc_fun(tc_nat,tc_bool),tc_fun(tc_nat,tc_bool)),hAPP(hAPP(c_COMBB(tc_fun(tc_bool,tc_bool),tc_fun(tc_fun(tc_nat,tc_bool),tc_fun(tc_nat,tc_bool)),tc_Lambda_OdB),c_COMBB(tc_bool,tc_bool,tc_nat)),hAPP(hAPP(c_COMBB(tc_bool,tc_fun(tc_bool,tc_bool),tc_Lambda_OdB),c_implies),c_InductTermi_OIT))))),hAPP(hAPP(c_COMBB(tc_fun(tc_Lambda_OdB,tc_fun(tc_nat,tc_bool)),tc_fun(tc_fun(tc_nat,tc_Type_Otype),tc_fun(tc_Lambda_OdB,tc_fun(tc_nat,tc_bool))),tc_Lambda_OdB),hAPP(c_COMBC(tc_fun(tc_nat,tc_Type_Otype),tc_fun(tc_Lambda_OdB,tc_fun(tc_nat,tc_bool)),tc_fun(tc_Lambda_OdB,tc_fun(tc_nat,tc_bool))),hAPP(hAPP(c_COMBB(tc_fun(tc_Lambda_OdB,tc_fun(tc_fun(tc_nat,tc_bool),tc_fun(tc_nat,tc_bool))),tc_fun(tc_fun(tc_Lambda_OdB,tc_fun(tc_nat,tc_bool)),tc_fun(tc_Lambda_OdB,tc_fun(tc_nat,tc_bool))),tc_fun(tc_nat,tc_Type_Otype)),c_COMBS(tc_Lambda_OdB,tc_fun(tc_nat,tc_bool),tc_fun(tc_nat,tc_bool))),hAPP(hAPP(c_COMBB(tc_fun(tc_Lambda_OdB,tc_fun(tc_bool,tc_bool)),tc_fun(tc_Lambda_OdB,tc_fun(tc_fun(tc_nat,tc_bool),tc_fun(tc_nat,tc_bool))),tc_fun(tc_nat,tc_Type_Otype)),hAPP(c_COMBB(tc_fun(tc_bool,tc_bool),tc_fun(tc_fun(tc_nat,tc_bool),tc_fun(tc_nat,tc_bool)),tc_Lambda_OdB),c_COMBB(tc_bool,tc_bool,tc_nat))),hAPP(hAPP(c_COMBB(tc_fun(tc_Lambda_OdB,tc_bool),tc_fun(tc_Lambda_OdB,tc_fun(tc_bool,tc_bool)),tc_fun(tc_nat,tc_Type_Otype)),hAPP(c_COMBB(tc_bool,tc_fun(tc_bool,tc_bool),tc_Lambda_OdB),c_implies)),hAPP(hAPP(c_COMBC(tc_fun(tc_nat,tc_Type_Otype),tc_Type_Otype,tc_fun(tc_Lambda_OdB,tc_bool)),hAPP(hAPP(c_COMBB(tc_fun(tc_Lambda_OdB,tc_fun(tc_Type_Otype,tc_bool)),tc_fun(tc_Type_Otype,tc_fun(tc_Lambda_OdB,tc_bool)),tc_fun(tc_nat,tc_Type_Otype)),c_COMBC(tc_Lambda_OdB,tc_Type_Otype,tc_bool)),c_Type_Otyping)),v_T____)))))),hAPP(hAPP(c_COMBB(tc_fun(tc_Lambda_OdB,tc_fun(tc_nat,tc_Lambda_OdB)),tc_fun(tc_Lambda_OdB,tc_fun(tc_nat,tc_bool)),tc_Lambda_OdB),hAPP(c_COMBB(tc_fun(tc_nat,tc_Lambda_OdB),tc_fun(tc_nat,tc_bool),tc_Lambda_OdB),hAPP(c_COMBB(tc_Lambda_OdB,tc_bool,tc_nat),c_InductTermi_OIT))),c_Lambda_Osubst)))))))))),hAPP(hAPP(c_COMBB(tc_fun(tc_Type_Otype,tc_bool),tc_bool,tc_Lambda_OdB),c_Ex(tc_Type_Otype)),hAPP(c_Type_Otyping,hAPP(hAPP(hAPP(c_Type_Oshift(tc_Type_Otype),v_e____),v_i____),v_T____)))),v_rs____,tc_Lambda_OdB))), inference(extension_rule, [i_0_887])).
% 1.01/1.16 cnf(i_0_2349, plain, (hBOOL(hAPP(hAPP(c_in(tc_Lambda_OdB),c_List_Osko__List__Xin__listsp__conv__set__1__1(hAPP(hAPP(c_COMBS(tc_Lambda_OdB,tc_bool,tc_bool),hAPP(hAPP(c_COMBB(tc_bool,tc_fun(tc_bool,tc_bool),tc_Lambda_OdB),c_and),hAPP(hAPP(c_COMBB(tc_fun(tc_fun(tc_nat,tc_Type_Otype),tc_bool),tc_bool,tc_Lambda_OdB),c_All(tc_fun(tc_nat,tc_Type_Otype))),hAPP(hAPP(c_COMBB(tc_fun(tc_fun(tc_nat,tc_Type_Otype),tc_fun(tc_Type_Otype,tc_bool)),tc_fun(tc_fun(tc_nat,tc_Type_Otype),tc_bool),tc_Lambda_OdB),hAPP(c_COMBB(tc_fun(tc_Type_Otype,tc_bool),tc_bool,tc_fun(tc_nat,tc_Type_Otype)),c_All(tc_Type_Otype))),hAPP(hAPP(c_COMBB(tc_fun(tc_fun(tc_nat,tc_Type_Otype),tc_fun(tc_Type_Otype,tc_fun(tc_Lambda_OdB,tc_bool))),tc_fun(tc_fun(tc_nat,tc_Type_Otype),tc_fun(tc_Type_Otype,tc_bool)),tc_Lambda_OdB),hAPP(c_COMBB(tc_fun(tc_Type_Otype,tc_fun(tc_Lambda_OdB,tc_bool)),tc_fun(tc_Type_Otype,tc_bool),tc_fun(tc_nat,tc_Type_Otype)),hAPP(c_COMBB(tc_fun(tc_Lambda_OdB,tc_bool),tc_bool,tc_Type_Otype),c_All(tc_Lambda_OdB)))),hAPP(hAPP(c_COMBB(tc_fun(tc_fun(tc_nat,tc_Type_Otype),tc_fun(tc_Type_Otype,tc_fun(tc_Lambda_OdB,tc_fun(tc_nat,tc_bool)))),tc_fun(tc_fun(tc_nat,tc_Type_Otype),tc_fun(tc_Type_Otype,tc_fun(tc_Lambda_OdB,tc_bool))),tc_Lambda_OdB),hAPP(c_COMBB(tc_fun(tc_Type_Otype,tc_fun(tc_Lambda_OdB,tc_fun(tc_nat,tc_bool))),tc_fun(tc_Type_Otype,tc_fun(tc_Lambda_OdB,tc_bool)),tc_fun(tc_nat,tc_Type_Otype)),hAPP(c_COMBB(tc_fun(tc_Lambda_OdB,tc_fun(tc_nat,tc_bool)),tc_fun(tc_Lambda_OdB,tc_bool),tc_Type_Otype),hAPP(c_COMBB(tc_fun(tc_nat,tc_bool),tc_bool,tc_Lambda_OdB),c_All(tc_nat))))),hAPP(hAPP(c_COMBS(tc_Lambda_OdB,tc_fun(tc_fun(tc_nat,tc_Type_Otype),tc_fun(tc_Lambda_OdB,tc_fun(tc_nat,tc_bool))),tc_fun(tc_fun(tc_nat,tc_Type_Otype),tc_fun(tc_Type_Otype,tc_fun(tc_Lambda_OdB,tc_fun(tc_nat,tc_bool))))),hAPP(hAPP(c_COMBB(tc_fun(tc_fun(tc_nat,tc_Type_Otype),tc_fun(tc_fun(tc_Lambda_OdB,tc_fun(tc_nat,tc_bool)),tc_fun(tc_Type_Otype,tc_fun(tc_Lambda_OdB,tc_fun(tc_nat,tc_bool))))),tc_fun(tc_fun(tc_fun(tc_nat,tc_Type_Otype),tc_fun(tc_Lambda_OdB,tc_fun(tc_nat,tc_bool))),tc_fun(tc_fun(tc_nat,tc_Type_Otype),tc_fun(tc_Type_Otype,tc_fun(tc_Lambda_OdB,tc_fun(tc_nat,tc_bool))))),tc_Lambda_OdB),c_COMBS(tc_fun(tc_nat,tc_Type_Otype),tc_fun(tc_Lambda_OdB,tc_fun(tc_nat,tc_bool)),tc_fun(tc_Type_Otype,tc_fun(tc_Lambda_OdB,tc_fun(tc_nat,tc_bool))))),hAPP(hAPP(c_COMBB(tc_fun(tc_fun(tc_nat,tc_Type_Otype),tc_fun(tc_Type_Otype,tc_fun(tc_fun(tc_Lambda_OdB,tc_fun(tc_nat,tc_bool)),tc_fun(tc_Lambda_OdB,tc_fun(tc_nat,tc_bool))))),tc_fun(tc_fun(tc_nat,tc_Type_Otype),tc_fun(tc_fun(tc_Lambda_OdB,tc_fun(tc_nat,tc_bool)),tc_fun(tc_Type_Otype,tc_fun(tc_Lambda_OdB,tc_fun(tc_nat,tc_bool))))),tc_Lambda_OdB),hAPP(c_COMBB(tc_fun(tc_Type_Otype,tc_fun(tc_fun(tc_Lambda_OdB,tc_fun(tc_nat,tc_bool)),tc_fun(tc_Lambda_OdB,tc_fun(tc_nat,tc_bool)))),tc_fun(tc_fun(tc_Lambda_OdB,tc_fun(tc_nat,tc_bool)),tc_fun(tc_Type_Otype,tc_fun(tc_Lambda_OdB,tc_fun(tc_nat,tc_bool)))),tc_fun(tc_nat,tc_Type_Otype)),c_COMBC(tc_Type_Otype,tc_fun(tc_Lambda_OdB,tc_fun(tc_nat,tc_bool)),tc_fun(tc_Lambda_OdB,tc_fun(tc_nat,tc_bool))))),hAPP(hAPP(c_COMBB(tc_fun(tc_fun(tc_nat,tc_Type_Otype),tc_fun(tc_Type_Otype,tc_fun(tc_fun(tc_nat,tc_bool),tc_fun(tc_nat,tc_bool)))),tc_fun(tc_fun(tc_nat,tc_Type_Otype),tc_fun(tc_Type_Otype,tc_fun(tc_fun(tc_Lambda_OdB,tc_fun(tc_nat,tc_bool)),tc_fun(tc_Lambda_OdB,tc_fun(tc_nat,tc_bool))))),tc_Lambda_OdB),hAPP(c_COMBB(tc_fun(tc_Type_Otype,tc_fun(tc_fun(tc_nat,tc_bool),tc_fun(tc_nat,tc_bool))),tc_fun(tc_Type_Otype,tc_fun(tc_fun(tc_Lambda_OdB,tc_fun(tc_nat,tc_bool)),tc_fun(tc_Lambda_OdB,tc_fun(tc_nat,tc_bool)))),tc_fun(tc_nat,tc_Type_Otype)),hAPP(c_COMBB(tc_fun(tc_fun(tc_nat,tc_bool),tc_fun(tc_nat,tc_bool)),tc_fun(tc_fun(tc_Lambda_OdB,tc_fun(tc_nat,tc_bool)),tc_fun(tc_Lambda_OdB,tc_fun(tc_nat,tc_bool))),tc_Type_Otype),c_COMBB(tc_fun(tc_nat,tc_bool),tc_fun(tc_nat,tc_bool),tc_Lambda_OdB)))),hAPP(hAPP(c_COMBB(tc_fun(tc_fun(tc_nat,tc_Type_Otype),tc_fun(tc_Type_Otype,tc_fun(tc_nat,tc_fun(tc_bool,tc_bool)))),tc_fun(tc_fun(tc_nat,tc_Type_Otype),tc_fun(tc_Type_Otype,tc_fun(tc_fun(tc_nat,tc_bool),tc_fun(tc_nat,tc_bool)))),tc_Lambda_OdB),hAPP(c_COMBB(tc_fun(tc_Type_Otype,tc_fun(tc_nat,tc_fun(tc_bool,tc_bool))),tc_fun(tc_Type_Otype,tc_fun(tc_fun(tc_nat,tc_bool),tc_fun(tc_nat,tc_bool))),tc_fun(tc_nat,tc_Type_Otype)),hAPP(c_COMBB(tc_fun(tc_nat,tc_fun(tc_bool,tc_bool)),tc_fun(tc_fun(tc_nat,tc_bool),tc_fun(tc_nat,tc_bool)),tc_Type_Otype),c_COMBS(tc_nat,tc_bool,tc_bool)))),hAPP(hAPP(c_COMBB(tc_fun(tc_fun(tc_nat,tc_Type_Otype),tc_fun(tc_Type_Otype,tc_fun(tc_nat,tc_bool))),tc_fun(tc_fun(tc_nat,tc_Type_Otype),tc_fun(tc_Type_Otype,tc_fun(tc_nat,tc_fun(tc_bool,tc_bool)))),tc_Lambda_OdB),hAPP(c_COMBB(tc_fun(tc_Type_Otype,tc_fun(tc_nat,tc_bool)),tc_fun(tc_Type_Otype,tc_fun(tc_nat,tc_fun(tc_bool,tc_bool))),tc_fun(tc_nat,tc_Type_Otype)),hAPP(c_COMBB(tc_fun(tc_nat,tc_bool),tc_fun(tc_nat,tc_fun(tc_bool,tc_bool)),tc_Type_Otype),hAPP(c_COMBB(tc_bool,tc_fun(tc_bool,tc_bool),tc_nat),c_implies)))),hAPP(hAPP(c_COMBB(tc_fun(tc_fun(tc_nat,tc_Type_Otype),tc_fun(tc_nat,tc_fun(tc_Type_Otype,tc_bool))),tc_fun(tc_fun(tc_nat,tc_Type_Otype),tc_fun(tc_Type_Otype,tc_fun(tc_nat,tc_bool))),tc_Lambda_OdB),hAPP(c_COMBB(tc_fun(tc_nat,tc_fun(tc_Type_Otype,tc_bool)),tc_fun(tc_Type_Otype,tc_fun(tc_nat,tc_bool)),tc_fun(tc_nat,tc_Type_Otype)),c_COMBC(tc_nat,tc_Type_Otype,tc_bool))),hAPP(c_COMBC(tc_fun(tc_nat,tc_Type_Otype),tc_Lambda_OdB,tc_fun(tc_nat,tc_fun(tc_Type_Otype,tc_bool))),hAPP(hAPP(c_COMBB(tc_fun(tc_nat,tc_fun(tc_Lambda_OdB,tc_fun(tc_Type_Otype,tc_bool))),tc_fun(tc_Lambda_OdB,tc_fun(tc_nat,tc_fun(tc_Type_Otype,tc_bool))),tc_fun(tc_nat,tc_Type_Otype)),c_COMBC(tc_nat,tc_Lambda_OdB,tc_fun(tc_Type_Otype,tc_bool))),hAPP(hAPP(c_COMBB(tc_fun(tc_nat,tc_fun(tc_nat,tc_Type_Otype)),tc_fun(tc_nat,tc_fun(tc_Lambda_OdB,tc_fun(tc_Type_Otype,tc_bool))),tc_fun(tc_nat,tc_Type_Otype)),hAPP(c_COMBB(tc_fun(tc_nat,tc_Type_Otype),tc_fun(tc_Lambda_OdB,tc_fun(tc_Type_Otype,tc_bool)),tc_nat),c_Type_Otyping)),hAPP(hAPP(c_COMBC(tc_fun(tc_nat,tc_Type_Otype),tc_Type_Otype,tc_fun(tc_nat,tc_fun(tc_nat,tc_Type_Otype))),hAPP(hAPP(c_COMBB(tc_fun(tc_nat,tc_fun(tc_Type_Otype,tc_fun(tc_nat,tc_Type_Otype))),tc_fun(tc_Type_Otype,tc_fun(tc_nat,tc_fun(tc_nat,tc_Type_Otype))),tc_fun(tc_nat,tc_Type_Otype)),c_COMBC(tc_nat,tc_Type_Otype,tc_fun(tc_nat,tc_Type_Otype))),c_Type_Oshift(tc_Type_Otype))),v_T____))))))))))),hAPP(hAPP(c_COMBB(tc_fun(tc_fun(tc_nat,tc_Type_Otype),tc_fun(tc_Lambda_OdB,tc_fun(tc_nat,tc_bool))),tc_fun(tc_fun(tc_nat,tc_Type_Otype),tc_fun(tc_Lambda_OdB,tc_fun(tc_nat,tc_bool))),tc_Lambda_OdB),hAPP(c_COMBB(tc_fun(tc_Lambda_OdB,tc_fun(tc_nat,tc_bool)),tc_fun(tc_Lambda_OdB,tc_fun(tc_nat,tc_bool)),tc_fun(tc_nat,tc_Type_Otype)),hAPP(c_COMBS(tc_Lambda_OdB,tc_fun(tc_nat,tc_bool),tc_fun(tc_nat,tc_bool)),hAPP(hAPP(c_COMBB(tc_fun(tc_bool,tc_bool),tc_fun(tc_fun(tc_nat,tc_bool),tc_fun(tc_nat,tc_bool)),tc_Lambda_OdB),c_COMBB(tc_bool,tc_bool,tc_nat)),hAPP(hAPP(c_COMBB(tc_bool,tc_fun(tc_bool,tc_bool),tc_Lambda_OdB),c_implies),c_InductTermi_OIT))))),hAPP(hAPP(c_COMBB(tc_fun(tc_Lambda_OdB,tc_fun(tc_nat,tc_bool)),tc_fun(tc_fun(tc_nat,tc_Type_Otype),tc_fun(tc_Lambda_OdB,tc_fun(tc_nat,tc_bool))),tc_Lambda_OdB),hAPP(c_COMBC(tc_fun(tc_nat,tc_Type_Otype),tc_fun(tc_Lambda_OdB,tc_fun(tc_nat,tc_bool)),tc_fun(tc_Lambda_OdB,tc_fun(tc_nat,tc_bool))),hAPP(hAPP(c_COMBB(tc_fun(tc_Lambda_OdB,tc_fun(tc_fun(tc_nat,tc_bool),tc_fun(tc_nat,tc_bool))),tc_fun(tc_fun(tc_Lambda_OdB,tc_fun(tc_nat,tc_bool)),tc_fun(tc_Lambda_OdB,tc_fun(tc_nat,tc_bool))),tc_fun(tc_nat,tc_Type_Otype)),c_COMBS(tc_Lambda_OdB,tc_fun(tc_nat,tc_bool),tc_fun(tc_nat,tc_bool))),hAPP(hAPP(c_COMBB(tc_fun(tc_Lambda_OdB,tc_fun(tc_bool,tc_bool)),tc_fun(tc_Lambda_OdB,tc_fun(tc_fun(tc_nat,tc_bool),tc_fun(tc_nat,tc_bool))),tc_fun(tc_nat,tc_Type_Otype)),hAPP(c_COMBB(tc_fun(tc_bool,tc_bool),tc_fun(tc_fun(tc_nat,tc_bool),tc_fun(tc_nat,tc_bool)),tc_Lambda_OdB),c_COMBB(tc_bool,tc_bool,tc_nat))),hAPP(hAPP(c_COMBB(tc_fun(tc_Lambda_OdB,tc_bool),tc_fun(tc_Lambda_OdB,tc_fun(tc_bool,tc_bool)),tc_fun(tc_nat,tc_Type_Otype)),hAPP(c_COMBB(tc_bool,tc_fun(tc_bool,tc_bool),tc_Lambda_OdB),c_implies)),hAPP(hAPP(c_COMBC(tc_fun(tc_nat,tc_Type_Otype),tc_Type_Otype,tc_fun(tc_Lambda_OdB,tc_bool)),hAPP(hAPP(c_COMBB(tc_fun(tc_Lambda_OdB,tc_fun(tc_Type_Otype,tc_bool)),tc_fun(tc_Type_Otype,tc_fun(tc_Lambda_OdB,tc_bool)),tc_fun(tc_nat,tc_Type_Otype)),c_COMBC(tc_Lambda_OdB,tc_Type_Otype,tc_bool)),c_Type_Otyping)),v_T____)))))),hAPP(hAPP(c_COMBB(tc_fun(tc_Lambda_OdB,tc_fun(tc_nat,tc_Lambda_OdB)),tc_fun(tc_Lambda_OdB,tc_fun(tc_nat,tc_bool)),tc_Lambda_OdB),hAPP(c_COMBB(tc_fun(tc_nat,tc_Lambda_OdB),tc_fun(tc_nat,tc_bool),tc_Lambda_OdB),hAPP(c_COMBB(tc_Lambda_OdB,tc_bool,tc_nat),c_InductTermi_OIT))),c_Lambda_Osubst)))))))))),hAPP(hAPP(c_COMBB(tc_fun(tc_Type_Otype,tc_bool),tc_bool,tc_Lambda_OdB),c_Ex(tc_Type_Otype)),hAPP(c_Type_Otyping,hAPP(hAPP(hAPP(c_Type_Oshift(tc_Type_Otype),v_e____),v_i____),v_T____)))),v_rs____,tc_Lambda_OdB)),c_List_Oset(v_rs____,tc_Lambda_OdB)))), inference(extension_rule, [i_0_1013])).
% 1.01/1.16 cnf(i_0_3132, plain, (hAPP(c_Collect(X4),hAPP(c_in(tc_Lambda_OdB),c_List_Osko__List__Xin__listsp__conv__set__1__1(hAPP(hAPP(c_COMBS(tc_Lambda_OdB,tc_bool,tc_bool),hAPP(hAPP(c_COMBB(tc_bool,tc_fun(tc_bool,tc_bool),tc_Lambda_OdB),c_and),hAPP(hAPP(c_COMBB(tc_fun(tc_fun(tc_nat,tc_Type_Otype),tc_bool),tc_bool,tc_Lambda_OdB),c_All(tc_fun(tc_nat,tc_Type_Otype))),hAPP(hAPP(c_COMBB(tc_fun(tc_fun(tc_nat,tc_Type_Otype),tc_fun(tc_Type_Otype,tc_bool)),tc_fun(tc_fun(tc_nat,tc_Type_Otype),tc_bool),tc_Lambda_OdB),hAPP(c_COMBB(tc_fun(tc_Type_Otype,tc_bool),tc_bool,tc_fun(tc_nat,tc_Type_Otype)),c_All(tc_Type_Otype))),hAPP(hAPP(c_COMBB(tc_fun(tc_fun(tc_nat,tc_Type_Otype),tc_fun(tc_Type_Otype,tc_fun(tc_Lambda_OdB,tc_bool))),tc_fun(tc_fun(tc_nat,tc_Type_Otype),tc_fun(tc_Type_Otype,tc_bool)),tc_Lambda_OdB),hAPP(c_COMBB(tc_fun(tc_Type_Otype,tc_fun(tc_Lambda_OdB,tc_bool)),tc_fun(tc_Type_Otype,tc_bool),tc_fun(tc_nat,tc_Type_Otype)),hAPP(c_COMBB(tc_fun(tc_Lambda_OdB,tc_bool),tc_bool,tc_Type_Otype),c_All(tc_Lambda_OdB)))),hAPP(hAPP(c_COMBB(tc_fun(tc_fun(tc_nat,tc_Type_Otype),tc_fun(tc_Type_Otype,tc_fun(tc_Lambda_OdB,tc_fun(tc_nat,tc_bool)))),tc_fun(tc_fun(tc_nat,tc_Type_Otype),tc_fun(tc_Type_Otype,tc_fun(tc_Lambda_OdB,tc_bool))),tc_Lambda_OdB),hAPP(c_COMBB(tc_fun(tc_Type_Otype,tc_fun(tc_Lambda_OdB,tc_fun(tc_nat,tc_bool))),tc_fun(tc_Type_Otype,tc_fun(tc_Lambda_OdB,tc_bool)),tc_fun(tc_nat,tc_Type_Otype)),hAPP(c_COMBB(tc_fun(tc_Lambda_OdB,tc_fun(tc_nat,tc_bool)),tc_fun(tc_Lambda_OdB,tc_bool),tc_Type_Otype),hAPP(c_COMBB(tc_fun(tc_nat,tc_bool),tc_bool,tc_Lambda_OdB),c_All(tc_nat))))),hAPP(hAPP(c_COMBS(tc_Lambda_OdB,tc_fun(tc_fun(tc_nat,tc_Type_Otype),tc_fun(tc_Lambda_OdB,tc_fun(tc_nat,tc_bool))),tc_fun(tc_fun(tc_nat,tc_Type_Otype),tc_fun(tc_Type_Otype,tc_fun(tc_Lambda_OdB,tc_fun(tc_nat,tc_bool))))),hAPP(hAPP(c_COMBB(tc_fun(tc_fun(tc_nat,tc_Type_Otype),tc_fun(tc_fun(tc_Lambda_OdB,tc_fun(tc_nat,tc_bool)),tc_fun(tc_Type_Otype,tc_fun(tc_Lambda_OdB,tc_fun(tc_nat,tc_bool))))),tc_fun(tc_fun(tc_fun(tc_nat,tc_Type_Otype),tc_fun(tc_Lambda_OdB,tc_fun(tc_nat,tc_bool))),tc_fun(tc_fun(tc_nat,tc_Type_Otype),tc_fun(tc_Type_Otype,tc_fun(tc_Lambda_OdB,tc_fun(tc_nat,tc_bool))))),tc_Lambda_OdB),c_COMBS(tc_fun(tc_nat,tc_Type_Otype),tc_fun(tc_Lambda_OdB,tc_fun(tc_nat,tc_bool)),tc_fun(tc_Type_Otype,tc_fun(tc_Lambda_OdB,tc_fun(tc_nat,tc_bool))))),hAPP(hAPP(c_COMBB(tc_fun(tc_fun(tc_nat,tc_Type_Otype),tc_fun(tc_Type_Otype,tc_fun(tc_fun(tc_Lambda_OdB,tc_fun(tc_nat,tc_bool)),tc_fun(tc_Lambda_OdB,tc_fun(tc_nat,tc_bool))))),tc_fun(tc_fun(tc_nat,tc_Type_Otype),tc_fun(tc_fun(tc_Lambda_OdB,tc_fun(tc_nat,tc_bool)),tc_fun(tc_Type_Otype,tc_fun(tc_Lambda_OdB,tc_fun(tc_nat,tc_bool))))),tc_Lambda_OdB),hAPP(c_COMBB(tc_fun(tc_Type_Otype,tc_fun(tc_fun(tc_Lambda_OdB,tc_fun(tc_nat,tc_bool)),tc_fun(tc_Lambda_OdB,tc_fun(tc_nat,tc_bool)))),tc_fun(tc_fun(tc_Lambda_OdB,tc_fun(tc_nat,tc_bool)),tc_fun(tc_Type_Otype,tc_fun(tc_Lambda_OdB,tc_fun(tc_nat,tc_bool)))),tc_fun(tc_nat,tc_Type_Otype)),c_COMBC(tc_Type_Otype,tc_fun(tc_Lambda_OdB,tc_fun(tc_nat,tc_bool)),tc_fun(tc_Lambda_OdB,tc_fun(tc_nat,tc_bool))))),hAPP(hAPP(c_COMBB(tc_fun(tc_fun(tc_nat,tc_Type_Otype),tc_fun(tc_Type_Otype,tc_fun(tc_fun(tc_nat,tc_bool),tc_fun(tc_nat,tc_bool)))),tc_fun(tc_fun(tc_nat,tc_Type_Otype),tc_fun(tc_Type_Otype,tc_fun(tc_fun(tc_Lambda_OdB,tc_fun(tc_nat,tc_bool)),tc_fun(tc_Lambda_OdB,tc_fun(tc_nat,tc_bool))))),tc_Lambda_OdB),hAPP(c_COMBB(tc_fun(tc_Type_Otype,tc_fun(tc_fun(tc_nat,tc_bool),tc_fun(tc_nat,tc_bool))),tc_fun(tc_Type_Otype,tc_fun(tc_fun(tc_Lambda_OdB,tc_fun(tc_nat,tc_bool)),tc_fun(tc_Lambda_OdB,tc_fun(tc_nat,tc_bool)))),tc_fun(tc_nat,tc_Type_Otype)),hAPP(c_COMBB(tc_fun(tc_fun(tc_nat,tc_bool),tc_fun(tc_nat,tc_bool)),tc_fun(tc_fun(tc_Lambda_OdB,tc_fun(tc_nat,tc_bool)),tc_fun(tc_Lambda_OdB,tc_fun(tc_nat,tc_bool))),tc_Type_Otype),c_COMBB(tc_fun(tc_nat,tc_bool),tc_fun(tc_nat,tc_bool),tc_Lambda_OdB)))),hAPP(hAPP(c_COMBB(tc_fun(tc_fun(tc_nat,tc_Type_Otype),tc_fun(tc_Type_Otype,tc_fun(tc_nat,tc_fun(tc_bool,tc_bool)))),tc_fun(tc_fun(tc_nat,tc_Type_Otype),tc_fun(tc_Type_Otype,tc_fun(tc_fun(tc_nat,tc_bool),tc_fun(tc_nat,tc_bool)))),tc_Lambda_OdB),hAPP(c_COMBB(tc_fun(tc_Type_Otype,tc_fun(tc_nat,tc_fun(tc_bool,tc_bool))),tc_fun(tc_Type_Otype,tc_fun(tc_fun(tc_nat,tc_bool),tc_fun(tc_nat,tc_bool))),tc_fun(tc_nat,tc_Type_Otype)),hAPP(c_COMBB(tc_fun(tc_nat,tc_fun(tc_bool,tc_bool)),tc_fun(tc_fun(tc_nat,tc_bool),tc_fun(tc_nat,tc_bool)),tc_Type_Otype),c_COMBS(tc_nat,tc_bool,tc_bool)))),hAPP(hAPP(c_COMBB(tc_fun(tc_fun(tc_nat,tc_Type_Otype),tc_fun(tc_Type_Otype,tc_fun(tc_nat,tc_bool))),tc_fun(tc_fun(tc_nat,tc_Type_Otype),tc_fun(tc_Type_Otype,tc_fun(tc_nat,tc_fun(tc_bool,tc_bool)))),tc_Lambda_OdB),hAPP(c_COMBB(tc_fun(tc_Type_Otype,tc_fun(tc_nat,tc_bool)),tc_fun(tc_Type_Otype,tc_fun(tc_nat,tc_fun(tc_bool,tc_bool))),tc_fun(tc_nat,tc_Type_Otype)),hAPP(c_COMBB(tc_fun(tc_nat,tc_bool),tc_fun(tc_nat,tc_fun(tc_bool,tc_bool)),tc_Type_Otype),hAPP(c_COMBB(tc_bool,tc_fun(tc_bool,tc_bool),tc_nat),c_implies)))),hAPP(hAPP(c_COMBB(tc_fun(tc_fun(tc_nat,tc_Type_Otype),tc_fun(tc_nat,tc_fun(tc_Type_Otype,tc_bool))),tc_fun(tc_fun(tc_nat,tc_Type_Otype),tc_fun(tc_Type_Otype,tc_fun(tc_nat,tc_bool))),tc_Lambda_OdB),hAPP(c_COMBB(tc_fun(tc_nat,tc_fun(tc_Type_Otype,tc_bool)),tc_fun(tc_Type_Otype,tc_fun(tc_nat,tc_bool)),tc_fun(tc_nat,tc_Type_Otype)),c_COMBC(tc_nat,tc_Type_Otype,tc_bool))),hAPP(c_COMBC(tc_fun(tc_nat,tc_Type_Otype),tc_Lambda_OdB,tc_fun(tc_nat,tc_fun(tc_Type_Otype,tc_bool))),hAPP(hAPP(c_COMBB(tc_fun(tc_nat,tc_fun(tc_Lambda_OdB,tc_fun(tc_Type_Otype,tc_bool))),tc_fun(tc_Lambda_OdB,tc_fun(tc_nat,tc_fun(tc_Type_Otype,tc_bool))),tc_fun(tc_nat,tc_Type_Otype)),c_COMBC(tc_nat,tc_Lambda_OdB,tc_fun(tc_Type_Otype,tc_bool))),hAPP(hAPP(c_COMBB(tc_fun(tc_nat,tc_fun(tc_nat,tc_Type_Otype)),tc_fun(tc_nat,tc_fun(tc_Lambda_OdB,tc_fun(tc_Type_Otype,tc_bool))),tc_fun(tc_nat,tc_Type_Otype)),hAPP(c_COMBB(tc_fun(tc_nat,tc_Type_Otype),tc_fun(tc_Lambda_OdB,tc_fun(tc_Type_Otype,tc_bool)),tc_nat),c_Type_Otyping)),hAPP(hAPP(c_COMBC(tc_fun(tc_nat,tc_Type_Otype),tc_Type_Otype,tc_fun(tc_nat,tc_fun(tc_nat,tc_Type_Otype))),hAPP(hAPP(c_COMBB(tc_fun(tc_nat,tc_fun(tc_Type_Otype,tc_fun(tc_nat,tc_Type_Otype))),tc_fun(tc_Type_Otype,tc_fun(tc_nat,tc_fun(tc_nat,tc_Type_Otype))),tc_fun(tc_nat,tc_Type_Otype)),c_COMBC(tc_nat,tc_Type_Otype,tc_fun(tc_nat,tc_Type_Otype))),c_Type_Oshift(tc_Type_Otype))),v_T____))))))))))),hAPP(hAPP(c_COMBB(tc_fun(tc_fun(tc_nat,tc_Type_Otype),tc_fun(tc_Lambda_OdB,tc_fun(tc_nat,tc_bool))),tc_fun(tc_fun(tc_nat,tc_Type_Otype),tc_fun(tc_Lambda_OdB,tc_fun(tc_nat,tc_bool))),tc_Lambda_OdB),hAPP(c_COMBB(tc_fun(tc_Lambda_OdB,tc_fun(tc_nat,tc_bool)),tc_fun(tc_Lambda_OdB,tc_fun(tc_nat,tc_bool)),tc_fun(tc_nat,tc_Type_Otype)),hAPP(c_COMBS(tc_Lambda_OdB,tc_fun(tc_nat,tc_bool),tc_fun(tc_nat,tc_bool)),hAPP(hAPP(c_COMBB(tc_fun(tc_bool,tc_bool),tc_fun(tc_fun(tc_nat,tc_bool),tc_fun(tc_nat,tc_bool)),tc_Lambda_OdB),c_COMBB(tc_bool,tc_bool,tc_nat)),hAPP(hAPP(c_COMBB(tc_bool,tc_fun(tc_bool,tc_bool),tc_Lambda_OdB),c_implies),c_InductTermi_OIT))))),hAPP(hAPP(c_COMBB(tc_fun(tc_Lambda_OdB,tc_fun(tc_nat,tc_bool)),tc_fun(tc_fun(tc_nat,tc_Type_Otype),tc_fun(tc_Lambda_OdB,tc_fun(tc_nat,tc_bool))),tc_Lambda_OdB),hAPP(c_COMBC(tc_fun(tc_nat,tc_Type_Otype),tc_fun(tc_Lambda_OdB,tc_fun(tc_nat,tc_bool)),tc_fun(tc_Lambda_OdB,tc_fun(tc_nat,tc_bool))),hAPP(hAPP(c_COMBB(tc_fun(tc_Lambda_OdB,tc_fun(tc_fun(tc_nat,tc_bool),tc_fun(tc_nat,tc_bool))),tc_fun(tc_fun(tc_Lambda_OdB,tc_fun(tc_nat,tc_bool)),tc_fun(tc_Lambda_OdB,tc_fun(tc_nat,tc_bool))),tc_fun(tc_nat,tc_Type_Otype)),c_COMBS(tc_Lambda_OdB,tc_fun(tc_nat,tc_bool),tc_fun(tc_nat,tc_bool))),hAPP(hAPP(c_COMBB(tc_fun(tc_Lambda_OdB,tc_fun(tc_bool,tc_bool)),tc_fun(tc_Lambda_OdB,tc_fun(tc_fun(tc_nat,tc_bool),tc_fun(tc_nat,tc_bool))),tc_fun(tc_nat,tc_Type_Otype)),hAPP(c_COMBB(tc_fun(tc_bool,tc_bool),tc_fun(tc_fun(tc_nat,tc_bool),tc_fun(tc_nat,tc_bool)),tc_Lambda_OdB),c_COMBB(tc_bool,tc_bool,tc_nat))),hAPP(hAPP(c_COMBB(tc_fun(tc_Lambda_OdB,tc_bool),tc_fun(tc_Lambda_OdB,tc_fun(tc_bool,tc_bool)),tc_fun(tc_nat,tc_Type_Otype)),hAPP(c_COMBB(tc_bool,tc_fun(tc_bool,tc_bool),tc_Lambda_OdB),c_implies)),hAPP(hAPP(c_COMBC(tc_fun(tc_nat,tc_Type_Otype),tc_Type_Otype,tc_fun(tc_Lambda_OdB,tc_bool)),hAPP(hAPP(c_COMBB(tc_fun(tc_Lambda_OdB,tc_fun(tc_Type_Otype,tc_bool)),tc_fun(tc_Type_Otype,tc_fun(tc_Lambda_OdB,tc_bool)),tc_fun(tc_nat,tc_Type_Otype)),c_COMBC(tc_Lambda_OdB,tc_Type_Otype,tc_bool)),c_Type_Otyping)),v_T____)))))),hAPP(hAPP(c_COMBB(tc_fun(tc_Lambda_OdB,tc_fun(tc_nat,tc_Lambda_OdB)),tc_fun(tc_Lambda_OdB,tc_fun(tc_nat,tc_bool)),tc_Lambda_OdB),hAPP(c_COMBB(tc_fun(tc_nat,tc_Lambda_OdB),tc_fun(tc_nat,tc_bool),tc_Lambda_OdB),hAPP(c_COMBB(tc_Lambda_OdB,tc_bool,tc_nat),c_InductTermi_OIT))),c_Lambda_Osubst)))))))))),hAPP(hAPP(c_COMBB(tc_fun(tc_Type_Otype,tc_bool),tc_bool,tc_Lambda_OdB),c_Ex(tc_Type_Otype)),hAPP(c_Type_Otyping,hAPP(hAPP(hAPP(c_Type_Oshift(tc_Type_Otype),v_e____),v_i____),v_T____)))),v_rs____,tc_Lambda_OdB)))!=c_Orderings_Obot__class_Obot(tc_fun(X4,tc_bool))), inference(etableau_closure_rule, [i_0_3132, ...])).
% 1.01/1.16 # End printing tableau
% 1.01/1.16 # SZS output end
% 1.01/1.16 # Branches closed with saturation will be marked with an "s"
% 1.01/1.16 # Returning from population with 4 new_tableaux and 0 remaining starting tableaux.
% 1.01/1.16 # We now have 4 tableaux to operate on
% 1.01/1.16 # Found closed tableau during pool population.
% 1.01/1.16 # Proof search is over...
% 1.01/1.16 # Freeing feature tree
%------------------------------------------------------------------------------