TSTP Solution File: SWV834-1 by Etableau---0.67
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- Process Solution
%------------------------------------------------------------------------------
% File : Etableau---0.67
% Problem : SWV834-1 : 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 : Wed Jul 20 18:23:39 EDT 2022
% Result : Unsatisfiable 0.20s 0.55s
% Output : CNFRefutation 0.20s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.12/0.13 % Problem : SWV834-1 : TPTP v8.1.0. Released v4.1.0.
% 0.12/0.13 % 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 : Wed Jun 15 05:29:10 EDT 2022
% 0.13/0.35 % CPUTime :
% 0.20/0.48 # No SInE strategy applied
% 0.20/0.48 # Auto-Mode selected heuristic G_E___301_C18_F1_URBAN_S5PRR_S0Y
% 0.20/0.48 # and selection function SelectMaxLComplexAvoidPosPred.
% 0.20/0.48 #
% 0.20/0.48 # Number of axioms: 641 Number of unprocessed: 641
% 0.20/0.48 # Tableaux proof search.
% 0.20/0.48 # APR header successfully linked.
% 0.20/0.48 # Hello from C++
% 0.20/0.48 # The folding up rule is enabled...
% 0.20/0.48 # Local unification is enabled...
% 0.20/0.48 # Any saturation attempts will use folding labels...
% 0.20/0.48 # 641 beginning clauses after preprocessing and clausification
% 0.20/0.48 # Creating start rules for all 1 conjectures.
% 0.20/0.48 # There are 1 start rule candidates:
% 0.20/0.48 # Found 181 unit axioms.
% 0.20/0.48 # 1 start rule tableaux created.
% 0.20/0.48 # 460 extension rule candidate clauses
% 0.20/0.48 # 181 unit axiom clauses
% 0.20/0.48
% 0.20/0.48 # Requested 8, 32 cores available to the main process.
% 0.20/0.48 # There are not enough tableaux to fork, creating more from the initial 1
% 0.20/0.48 # Returning from population with 16 new_tableaux and 0 remaining starting tableaux.
% 0.20/0.48 # We now have 16 tableaux to operate on
% 0.20/0.55 # There were 1 total branch saturation attempts.
% 0.20/0.55 # There were 0 of these attempts blocked.
% 0.20/0.55 # There were 0 deferred branch saturation attempts.
% 0.20/0.55 # There were 0 free duplicated saturations.
% 0.20/0.55 # There were 1 total successful branch saturations.
% 0.20/0.55 # There were 1 successful branch saturations in interreduction.
% 0.20/0.55 # There were 0 successful branch saturations on the branch.
% 0.20/0.55 # There were 0 successful branch saturations after the branch.
% 0.20/0.55 # SZS status Unsatisfiable for /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.20/0.55 # SZS output start for /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.20/0.55 # Begin clausification derivation
% 0.20/0.55
% 0.20/0.55 # End clausification derivation
% 0.20/0.55 # Begin listing active clauses obtained from FOF to CNF conversion
% 0.20/0.55 cnf(i_0_1270, plain, (class_Lattices_Oupper__semilattice(tc_bool))).
% 0.20/0.55 cnf(i_0_1275, plain, (class_Orderings_Opreorder(tc_bool))).
% 0.20/0.55 cnf(i_0_1277, plain, (class_Orderings_Oorder(tc_bool))).
% 0.20/0.55 cnf(i_0_1272, plain, (class_Lattices_Odistrib__lattice(tc_bool))).
% 0.20/0.55 cnf(i_0_1276, plain, (class_Lattices_Olattice(tc_bool))).
% 0.20/0.55 cnf(i_0_1269, plain, (class_Complete__Lattice_Ocomplete__lattice(tc_bool))).
% 0.20/0.55 cnf(i_0_1271, plain, (class_Lattices_Olower__semilattice(tc_bool))).
% 0.20/0.55 cnf(i_0_1273, plain, (class_Lattices_Obounded__lattice(tc_bool))).
% 0.20/0.55 cnf(i_0_1280, plain, (class_HOL_Ominus(tc_bool))).
% 0.20/0.55 cnf(i_0_1278, plain, (class_Orderings_Otop(tc_bool))).
% 0.20/0.55 cnf(i_0_1274, plain, (class_Finite__Set_Ofinite_Ofinite(tc_bool))).
% 0.20/0.55 cnf(i_0_1281, plain, (class_HOL_Oord(tc_bool))).
% 0.20/0.55 cnf(i_0_1279, plain, (class_Orderings_Obot(tc_bool))).
% 0.20/0.55 cnf(i_0_962, plain, (c_Com_Ocom_OBODY(X1)!=c_Com_Ocom_OSKIP)).
% 0.20/0.55 cnf(i_0_1112, plain, (c_Com_Ocom_OBODY(X1)!=c_Com_Ocom_OSKIP)).
% 0.20/0.55 cnf(i_0_844, plain, (X1=X2|c_Com_Ocom_OBODY(X1)!=c_Com_Ocom_OBODY(X2))).
% 0.20/0.55 cnf(i_0_959, plain, (c_Finite__Set_Ofinite(X2,X1)|~class_Finite__Set_Ofinite_Ofinite(X1))).
% 0.20/0.55 cnf(i_0_1149, plain, (c_Com_Ocom_OSemi(X1,X2)!=c_Com_Ocom_OSKIP)).
% 0.20/0.55 cnf(i_0_871, plain, (c_Com_Ocom_OWhile(X1,X2)!=c_Com_Ocom_OSKIP)).
% 0.20/0.55 cnf(i_0_944, plain, (c_Com_Ocom_OSemi(X1,X2)!=c_Com_Ocom_OSKIP)).
% 0.20/0.55 cnf(i_0_681, plain, (c_Com_Ocom_OWhile(X1,X2)!=c_Com_Ocom_OSKIP)).
% 0.20/0.55 cnf(i_0_663, plain, (c_Com_Ocom_OBODY(X1)!=c_Com_Ocom_OSemi(X2,X3))).
% 0.20/0.55 cnf(i_0_683, plain, (c_Com_Ocom_OBODY(X1)!=c_Com_Ocom_OWhile(X2,X3))).
% 0.20/0.55 cnf(i_0_755, plain, (c_Com_Ocom_OSemi(X1,X2)!=c_Com_Ocom_OBODY(X3))).
% 0.20/0.55 cnf(i_0_1109, plain, (c_Com_Ocom_OWhile(X1,X2)!=c_Com_Ocom_OBODY(X3))).
% 0.20/0.55 cnf(i_0_1257, plain, (class_Lattices_Oupper__semilattice(tc_fun(X1,X2))|~class_Lattices_Olattice(X2))).
% 0.20/0.55 cnf(i_0_1262, plain, (class_Orderings_Opreorder(tc_fun(X1,X2))|~class_Orderings_Opreorder(X2))).
% 0.20/0.55 cnf(i_0_1264, plain, (class_Orderings_Oorder(tc_fun(X1,X2))|~class_Orderings_Oorder(X2))).
% 0.20/0.55 cnf(i_0_1259, plain, (class_Lattices_Odistrib__lattice(tc_fun(X1,X2))|~class_Lattices_Odistrib__lattice(X2))).
% 0.20/0.55 cnf(i_0_1263, plain, (class_Lattices_Olattice(tc_fun(X1,X2))|~class_Lattices_Olattice(X2))).
% 0.20/0.55 cnf(i_0_1256, plain, (class_Complete__Lattice_Ocomplete__lattice(tc_fun(X1,X2))|~class_Complete__Lattice_Ocomplete__lattice(X2))).
% 0.20/0.55 cnf(i_0_1258, plain, (class_Lattices_Olower__semilattice(tc_fun(X1,X2))|~class_Lattices_Olattice(X2))).
% 0.20/0.55 cnf(i_0_1260, plain, (class_Lattices_Obounded__lattice(tc_fun(X1,X2))|~class_Lattices_Obounded__lattice(X2))).
% 0.20/0.55 cnf(i_0_1267, plain, (class_HOL_Ominus(tc_fun(X1,X2))|~class_HOL_Ominus(X2))).
% 0.20/0.55 cnf(i_0_1265, plain, (class_Orderings_Otop(tc_fun(X1,X2))|~class_Orderings_Otop(X2))).
% 0.20/0.55 cnf(i_0_1268, plain, (class_HOL_Oord(tc_fun(X1,X2))|~class_HOL_Oord(X2))).
% 0.20/0.55 cnf(i_0_1266, plain, (class_Orderings_Obot(tc_fun(X1,X2))|~class_Orderings_Obot(X2))).
% 0.20/0.55 cnf(i_0_690, plain, (c_Com_Ocom_OWhile(X3,X4)!=c_Com_Ocom_OSemi(X1,X2))).
% 0.20/0.55 cnf(i_0_1059, plain, (c_Com_Ocom_OWhile(X1,X2)!=c_Com_Ocom_OSemi(X3,X4))).
% 0.20/0.55 cnf(i_0_1261, plain, (class_Finite__Set_Ofinite_Ofinite(tc_fun(X1,X2))|~class_Finite__Set_Ofinite_Ofinite(X2)|~class_Finite__Set_Ofinite_Ofinite(X1))).
% 0.20/0.55 cnf(i_0_688, plain, (X2=X4|c_Com_Ocom_OSemi(X1,X2)!=c_Com_Ocom_OSemi(X3,X4))).
% 0.20/0.55 cnf(i_0_846, plain, (X2=X4|c_Com_Ocom_OWhile(X1,X2)!=c_Com_Ocom_OWhile(X3,X4))).
% 0.20/0.55 cnf(i_0_689, plain, (X1=X3|c_Com_Ocom_OSemi(X1,X2)!=c_Com_Ocom_OSemi(X3,X4))).
% 0.20/0.55 cnf(i_0_845, plain, (X1=X3|c_Com_Ocom_OWhile(X1,X2)!=c_Com_Ocom_OWhile(X3,X4))).
% 0.20/0.55 cnf(i_0_1202, plain, (hAPP(c_HOL_Oord__class_Oless(tc_bool),v_P)=hAPP(c_and,hAPP(c_Not,v_P)))).
% 0.20/0.55 cnf(i_0_1118, plain, (c_The(hAPP(c_fequal(X1),X2),X1)=X2)).
% 0.20/0.55 cnf(i_0_1107, plain, (hAPP(hAPP(c_HOL_Otimes__class_Otimes(X1),X2),X2)=X2|~class_OrderedGroup_Oab__semigroup__idem__mult(X1))).
% 0.20/0.55 cnf(i_0_648, plain, (hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(X1),X2),X2)=X2|~class_Lattices_Oupper__semilattice(X1))).
% 0.20/0.55 cnf(i_0_1063, plain, (hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(X1),X2),X2)=X2|~class_Lattices_Olower__semilattice(X1))).
% 0.20/0.55 cnf(i_0_1010, plain, (c_Finite__Set_Ofinite(c_Orderings_Obot__class_Obot(tc_fun(X1,tc_bool)),X1))).
% 0.20/0.55 cnf(i_0_985, plain, (hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(X1),X2),c_Orderings_Obot__class_Obot(X1))=X2|~class_Lattices_Obounded__lattice(X1))).
% 0.20/0.55 cnf(i_0_876, plain, (hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(X1),X2),c_Orderings_Otop__class_Otop(X1))=X2|~class_Lattices_Obounded__lattice(X1))).
% 0.20/0.55 cnf(i_0_692, 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))).
% 0.20/0.55 cnf(i_0_987, 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))).
% 0.20/0.55 cnf(i_0_984, plain, (hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(X1),c_Orderings_Obot__class_Obot(X1)),X2)=X2|~class_Lattices_Obounded__lattice(X1))).
% 0.20/0.55 cnf(i_0_877, plain, (hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(X1),c_Orderings_Otop__class_Otop(X1)),X2)=X2|~class_Lattices_Obounded__lattice(X1))).
% 0.20/0.55 cnf(i_0_1060, plain, (c_Finite__Set_Ofinite(c_Orderings_Otop__class_Otop(tc_fun(X1,tc_bool)),X1)|~class_Finite__Set_Ofinite_Ofinite(X1))).
% 0.20/0.55 cnf(i_0_1165, plain, (hAPP(c_Orderings_Obot__class_Obot(tc_fun(t_a,X1)),v_x)=c_Orderings_Obot__class_Obot(X1)|~class_Orderings_Obot(X1))).
% 0.20/0.55 cnf(i_0_893, plain, (hAPP(c_Orderings_Otop__class_Otop(tc_fun(t_a,X1)),v_x)=c_Orderings_Otop__class_Otop(X1)|~class_Orderings_Otop(X1))).
% 0.20/0.55 cnf(i_0_693, 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))).
% 0.20/0.55 cnf(i_0_986, 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))).
% 0.20/0.55 cnf(i_0_1225, plain, (c_COMBK(c_False,tc_bool,X1)=c_Orderings_Obot__class_Obot(tc_fun(X1,tc_bool)))).
% 0.20/0.55 cnf(i_0_1057, 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))).
% 0.20/0.55 cnf(i_0_883, 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))).
% 0.20/0.55 cnf(i_0_1166, 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))).
% 0.20/0.55 cnf(i_0_970, 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))).
% 0.20/0.55 cnf(i_0_1004, plain, (c_Orderings_Otop__class_Otop(tc_fun(X1,tc_bool))!=c_Orderings_Obot__class_Obot(tc_fun(X1,tc_bool)))).
% 0.20/0.55 cnf(i_0_806, plain, (c_Com_Ocom_OCond(X1,X2,X3)!=c_Com_Ocom_OSKIP)).
% 0.20/0.55 cnf(i_0_852, plain, (c_Com_Ocom_OCond(X1,X2,X3)!=c_Com_Ocom_OSKIP)).
% 0.20/0.55 cnf(i_0_748, plain, (c_Com_Ocom_OBODY(X1)!=c_Com_Ocom_OCond(X2,X3,X4))).
% 0.20/0.55 cnf(i_0_747, plain, (c_Com_Ocom_OCond(X1,X2,X3)!=c_Com_Ocom_OBODY(X4))).
% 0.20/0.55 cnf(i_0_1002, plain, (X1!=c_Orderings_Obot__class_Obot(tc_fun(X2,tc_bool))|~hBOOL(hAPP(X1,X3)))).
% 0.20/0.55 cnf(i_0_995, plain, (c_Orderings_Obot__class_Obot(tc_fun(X1,tc_bool))!=X2|~hBOOL(hAPP(X2,X3)))).
% 0.20/0.55 cnf(i_0_990, 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))).
% 0.20/0.55 cnf(i_0_865, 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))).
% 0.20/0.55 cnf(i_0_989, 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))).
% 0.20/0.55 cnf(i_0_866, 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))).
% 0.20/0.55 cnf(i_0_1287, plain, (hBOOL(hAPP(hAPP(c_fequal(X1),X2),X2)))).
% 0.20/0.55 cnf(i_0_696, plain, (c_Com_Ocom_OSemi(X1,X2)!=c_Com_Ocom_OCond(X3,X4,X5))).
% 0.20/0.55 cnf(i_0_956, plain, (c_Com_Ocom_OWhile(X1,X2)!=c_Com_Ocom_OCond(X3,X4,X5))).
% 0.20/0.55 cnf(i_0_714, plain, (c_Com_Ocom_OCond(X1,X2,X3)!=c_Com_Ocom_OSemi(X4,X5))).
% 0.20/0.55 cnf(i_0_701, plain, (c_Com_Ocom_OCond(X1,X2,X3)!=c_Com_Ocom_OWhile(X4,X5))).
% 0.20/0.55 cnf(i_0_1203, plain, (hAPP(c_COMBK(v_P,t_a,t_b),v_Q)=v_P)).
% 0.20/0.55 cnf(i_0_645, 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))).
% 0.20/0.55 cnf(i_0_646, 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))).
% 0.20/0.55 cnf(i_0_842, 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))).
% 0.20/0.55 cnf(i_0_843, 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))).
% 0.20/0.55 cnf(i_0_803, 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))).
% 0.20/0.55 cnf(i_0_802, 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))).
% 0.20/0.55 cnf(i_0_1090, plain, (hBOOL(hAPP(hAPP(c_lessequals(X1),X2),X2))|~class_Orderings_Opreorder(X1))).
% 0.20/0.55 cnf(i_0_1089, plain, (hBOOL(hAPP(hAPP(c_lessequals(X1),X2),X2))|~class_Orderings_Oorder(X1))).
% 0.20/0.55 cnf(i_0_1250, plain, (hAPP(c_COMBK(X1,X2,X3),X4)=X1)).
% 0.20/0.55 cnf(i_0_1285, plain, (hAPP(c_COMBK(X1,X2,X3),X4)=X1)).
% 0.20/0.55 cnf(i_0_1167, plain, (hAPP(c_fequal(X1),X2)=hAPP(hAPP(c_Set_Oinsert(X1),X2),c_Orderings_Obot__class_Obot(tc_fun(X1,tc_bool))))).
% 0.20/0.55 cnf(i_0_1234, plain, (hAPP(hAPP(c_Set_Oinsert(X1),X2),X3)!=c_Orderings_Obot__class_Obot(tc_fun(X1,tc_bool)))).
% 0.20/0.55 cnf(i_0_1246, plain, (hAPP(hAPP(c_Set_Oinsert(X1),X2),X3)!=c_Orderings_Obot__class_Obot(tc_fun(X1,tc_bool)))).
% 0.20/0.55 cnf(i_0_941, plain, (hBOOL(hAPP(hAPP(c_lessequals(X1),X2),c_Orderings_Otop__class_Otop(X1)))|~class_Orderings_Otop(X1))).
% 0.20/0.55 cnf(i_0_1243, plain, (c_Hoare__Mirabelle_Ohoare__derivs(X1,c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(X2),tc_bool)),X2))).
% 0.20/0.55 cnf(i_0_890, plain, (hBOOL(hAPP(c_Orderings_Otop__class_Otop(tc_fun(X1,tc_bool)),X2)))).
% 0.20/0.55 cnf(i_0_988, plain, (hBOOL(hAPP(hAPP(c_lessequals(X1),c_Orderings_Obot__class_Obot(X1)),X2))|~class_Orderings_Obot(X1))).
% 0.20/0.55 cnf(i_0_1035, plain, (c_Finite__Set_Ofinite(hAPP(hAPP(c_Set_Oinsert(X1),X2),X3),X1)|~c_Finite__Set_Ofinite(X3,X1))).
% 0.20/0.55 cnf(i_0_647, plain, (hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(X1,tc_bool)),X2),X2)=X2)).
% 0.20/0.55 cnf(i_0_1064, plain, (hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(X1,tc_bool)),X2),X2)=X2)).
% 0.20/0.55 cnf(i_0_917, plain, (c_in(v_x,c_Orderings_Obot__class_Obot(tc_fun(t_a,tc_bool)),t_a)=hAPP(c_Orderings_Obot__class_Obot(tc_fun(t_a,tc_bool)),v_x))).
% 0.20/0.55 cnf(i_0_653, plain, (hBOOL(c_in(X1,X2,X3))|~hBOOL(hAPP(X2,X1)))).
% 0.20/0.55 cnf(i_0_810, plain, (hBOOL(c_in(X1,X2,X3))|~hBOOL(hAPP(X2,X1)))).
% 0.20/0.55 cnf(i_0_888, 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))).
% 0.20/0.55 cnf(i_0_904, 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))).
% 0.20/0.55 cnf(i_0_1189, plain, (c_SetInterval_Oord__class_OatLeastAtMost(X2,X2,X1)=hAPP(hAPP(c_Set_Oinsert(X1),X2),c_Orderings_Obot__class_Obot(tc_fun(X1,tc_bool)))|~class_Orderings_Oorder(X1))).
% 0.20/0.55 cnf(i_0_1288, plain, (X1=X2|~hBOOL(hAPP(hAPP(c_fequal(X3),X1),X2)))).
% 0.20/0.55 cnf(i_0_1008, plain, (hAPP(hAPP(c_HOL_Ominus__class_Ominus(tc_fun(X1,tc_bool)),X2),X2)=c_Orderings_Obot__class_Obot(tc_fun(X1,tc_bool)))).
% 0.20/0.55 cnf(i_0_719, plain, (X3=X6|c_Com_Ocom_OCond(X1,X2,X3)!=c_Com_Ocom_OCond(X4,X5,X6))).
% 0.20/0.55 cnf(i_0_720, plain, (X2=X5|c_Com_Ocom_OCond(X1,X2,X3)!=c_Com_Ocom_OCond(X4,X5,X6))).
% 0.20/0.55 cnf(i_0_721, plain, (X1=X4|c_Com_Ocom_OCond(X1,X2,X3)!=c_Com_Ocom_OCond(X4,X5,X6))).
% 0.20/0.55 cnf(i_0_769, plain, (X3=X4|hAPP(hAPP(c_HOL_Ominus__class_Ominus(X1),X2),X2)!=hAPP(hAPP(c_HOL_Ominus__class_Ominus(X1),X3),X4)|~class_OrderedGroup_Oab__group__add(X1))).
% 0.20/0.55 cnf(i_0_768, plain, (X2=X3|hAPP(hAPP(c_HOL_Ominus__class_Ominus(X1),X2),X3)!=hAPP(hAPP(c_HOL_Ominus__class_Ominus(X1),X4),X4)|~class_OrderedGroup_Oab__group__add(X1))).
% 0.20/0.55 cnf(i_0_887, plain, (~class_Orderings_Opreorder(X1)|~hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(X1),X2),X2)))).
% 0.20/0.55 cnf(i_0_885, plain, (~class_Orderings_Oorder(X1)|~hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(X1),X2),X2)))).
% 0.20/0.55 cnf(i_0_886, plain, (~class_Orderings_Olinorder(X1)|~hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(X1),X2),X2)))).
% 0.20/0.55 cnf(i_0_1102, plain, (c_SetInterval_Oord__class_OatLeastAtMost(X2,X3,X1)=c_Orderings_Obot__class_Obot(tc_fun(X1,tc_bool))|hBOOL(hAPP(hAPP(c_lessequals(X1),X2),X3))|~class_Orderings_Oorder(X1))).
% 0.20/0.55 cnf(i_0_923, plain, (c_SetInterval_Oord__class_OatLeastAtMost(X2,X3,X1)=c_Orderings_Obot__class_Obot(tc_fun(X1,tc_bool))|hBOOL(hAPP(hAPP(c_lessequals(X1),X2),X3))|~class_Orderings_Oorder(X1))).
% 0.20/0.55 cnf(i_0_1006, 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)).
% 0.20/0.55 cnf(i_0_1009, plain, (hAPP(hAPP(c_HOL_Ominus__class_Ominus(tc_fun(X1,tc_bool)),X2),c_Orderings_Obot__class_Obot(tc_fun(X1,tc_bool)))=X2)).
% 0.20/0.55 cnf(i_0_879, 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)).
% 0.20/0.55 cnf(i_0_1036, plain, (c_Finite__Set_Ofinite(X1,X2)|~c_Finite__Set_Ofinite(hAPP(hAPP(c_Set_Oinsert(X2),X3),X1),X2))).
% 0.20/0.55 cnf(i_0_911, 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))).
% 0.20/0.55 cnf(i_0_788, 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))).
% 0.20/0.55 cnf(i_0_654, plain, (hBOOL(hAPP(X1,X2))|~hBOOL(c_in(X2,X1,X3)))).
% 0.20/0.55 cnf(i_0_811, plain, (hBOOL(hAPP(X1,X2))|~hBOOL(c_in(X2,X1,X3)))).
% 0.20/0.55 cnf(i_0_1245, plain, (hAPP(hAPP(c_Set_Oinsert(X1),X2),hAPP(hAPP(c_Set_Oinsert(X1),X2),X3))=hAPP(hAPP(c_Set_Oinsert(X1),X2),X3))).
% 0.20/0.55 cnf(i_0_1242, plain, (~hBOOL(hAPP(c_Orderings_Obot__class_Obot(tc_fun(X1,tc_bool)),X2)))).
% 0.20/0.55 cnf(i_0_922, 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))).
% 0.20/0.55 cnf(i_0_849, 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))).
% 0.20/0.55 cnf(i_0_850, 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))).
% 0.20/0.55 cnf(i_0_952, 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))).
% 0.20/0.55 cnf(i_0_953, 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))).
% 0.20/0.55 cnf(i_0_730, plain, (hBOOL(c_in(X1,c_Orderings_Otop__class_Otop(tc_fun(X2,tc_bool)),X2)))).
% 0.20/0.55 cnf(i_0_686, plain, (hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(X1),X2),hAPP(c_Complete__Lattice_OInf__class_OInf(X1),X3))=hAPP(c_Complete__Lattice_OInf__class_OInf(X1),hAPP(hAPP(c_Set_Oinsert(X1),X2),X3))|~class_Complete__Lattice_Ocomplete__lattice(X1))).
% 0.20/0.55 cnf(i_0_691, plain, (hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(X1),X2),hAPP(c_Complete__Lattice_OSup__class_OSup(X1),X3))=hAPP(c_Complete__Lattice_OSup__class_OSup(X1),hAPP(hAPP(c_Set_Oinsert(X1),X2),X3))|~class_Complete__Lattice_Ocomplete__lattice(X1))).
% 0.20/0.55 cnf(i_0_763, plain, (hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(X1),X3),X2))|hBOOL(hAPP(hAPP(c_lessequals(X1),X2),X3))|~class_Orderings_Olinorder(X1))).
% 0.20/0.55 cnf(i_0_759, plain, (hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(X1),X2),X3))|hBOOL(hAPP(hAPP(c_lessequals(X1),X3),X2))|~class_Orderings_Olinorder(X1))).
% 0.20/0.55 cnf(i_0_765, plain, (hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(X1),X2),X3))|hBOOL(hAPP(hAPP(c_lessequals(X1),X3),X2))|~class_Orderings_Olinorder(X1))).
% 0.20/0.55 cnf(i_0_761, plain, (hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(X1),X2),X2))|hBOOL(hAPP(hAPP(c_lessequals(X1),X2),X2))|~class_Orderings_Olinorder(X1))).
% 0.20/0.55 cnf(i_0_1152, plain, (hBOOL(hAPP(hAPP(c_lessequals(X1),X3),X2))|hBOOL(hAPP(hAPP(c_lessequals(X1),X2),X3))|~class_Orderings_Olinorder(X1))).
% 0.20/0.55 cnf(i_0_1177, plain, (c_The(hAPP(hAPP(c_Set_Oinsert(X1),X2),c_Orderings_Obot__class_Obot(tc_fun(X1,tc_bool))),X1)=X2)).
% 0.20/0.55 cnf(i_0_1183, plain, (c_Set_Ocontents(hAPP(hAPP(c_Set_Oinsert(X1),X2),c_Orderings_Obot__class_Obot(tc_fun(X1,tc_bool))),X1)=X2)).
% 0.20/0.55 cnf(i_0_1074, plain, (X2=c_Orderings_Obot__class_Obot(tc_fun(X1,tc_bool))|hBOOL(c_in(c_Finite__Set_Olinorder__class_OMax(X2,X1),X2,X1))|~class_Orderings_Olinorder(X1)|~c_Finite__Set_Ofinite(X2,X1))).
% 0.20/0.55 cnf(i_0_1108, plain, (X2=c_Orderings_Obot__class_Obot(tc_fun(X1,tc_bool))|hBOOL(c_in(c_Finite__Set_Olinorder__class_OMin(X2,X1),X2,X1))|~class_Orderings_Olinorder(X1)|~c_Finite__Set_Ofinite(X2,X1))).
% 0.20/0.55 cnf(i_0_695, 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)))).
% 0.20/0.55 cnf(i_0_927, plain, (hAPP(hAPP(c_HOL_Ominus__class_Ominus(tc_fun(X1,tc_bool)),X2),c_Orderings_Otop__class_Otop(tc_fun(X1,tc_bool)))=c_Orderings_Obot__class_Obot(tc_fun(X1,tc_bool)))).
% 0.20/0.55 cnf(i_0_1011, 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)))).
% 0.20/0.55 cnf(i_0_895, 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))).
% 0.20/0.55 cnf(i_0_899, 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))).
% 0.20/0.55 cnf(i_0_902, 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))).
% 0.20/0.55 cnf(i_0_903, 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))).
% 0.20/0.55 cnf(i_0_894, 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))).
% 0.20/0.55 cnf(i_0_1233, plain, (c_Hoare__Mirabelle_Ohoare__derivs(X1,X2,X3)|~c_Hoare__Mirabelle_Ohoare__derivs(X4,X2,X3)|~c_Hoare__Mirabelle_Ohoare__derivs(X1,X4,X3))).
% 0.20/0.55 cnf(i_0_1048, plain, (hAPP(hAPP(c_Set_Oinsert(X1),X2),X3)=X3|~hBOOL(c_in(X2,X3,X1)))).
% 0.20/0.55 cnf(i_0_1187, plain, (c_Finite__Set_Olinorder__class_OMax(hAPP(hAPP(c_Set_Oinsert(X1),X2),c_Orderings_Obot__class_Obot(tc_fun(X1,tc_bool))),X1)=X2|~class_Orderings_Olinorder(X1))).
% 0.20/0.55 cnf(i_0_1176, plain, (c_Finite__Set_Olinorder__class_OMin(hAPP(hAPP(c_Set_Oinsert(X1),X2),c_Orderings_Obot__class_Obot(tc_fun(X1,tc_bool))),X1)=X2|~class_Orderings_Olinorder(X1))).
% 0.20/0.55 cnf(i_0_912, 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)))).
% 0.20/0.55 cnf(i_0_910, 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)))).
% 0.20/0.55 cnf(i_0_789, 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)))).
% 0.20/0.55 cnf(i_0_787, 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)))).
% 0.20/0.55 cnf(i_0_1192, 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))).
% 0.20/0.55 cnf(i_0_1172, 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))).
% 0.20/0.55 cnf(i_0_1232, plain, (hBOOL(hAPP(hAPP(hAPP(c_Set_Oinsert(X1),X2),X3),X2)))).
% 0.20/0.55 cnf(i_0_1190, plain, (hBOOL(c_in(X2,X3,X1))|hAPP(hAPP(c_Set_Oinsert(X1),X2),X3)!=c_Orderings_Obot__class_Obot(tc_fun(X1,tc_bool)))).
% 0.20/0.55 cnf(i_0_1007, 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)).
% 0.20/0.55 cnf(i_0_878, 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)).
% 0.20/0.55 cnf(i_0_892, plain, (c_SetInterval_Oord__class_OatLeastAtMost(X2,X3,X1)=c_Orderings_Obot__class_Obot(tc_fun(X1,tc_bool))|~class_Orderings_Oorder(X1)|~hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(X1),X3),X2)))).
% 0.20/0.55 cnf(i_0_694, 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)))).
% 0.20/0.55 cnf(i_0_1005, plain, (hAPP(hAPP(c_HOL_Ominus__class_Ominus(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)))).
% 0.20/0.55 cnf(i_0_1012, 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)))).
% 0.20/0.55 cnf(i_0_909, plain, (hBOOL(hAPP(hAPP(c_lessequals(X1),X2),X3))|~class_Orderings_Opreorder(X1)|~hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(X1),X2),X3)))).
% 0.20/0.55 cnf(i_0_908, plain, (hBOOL(hAPP(hAPP(c_lessequals(X1),X2),X3))|~class_Orderings_Oorder(X1)|~hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(X1),X2),X3)))).
% 0.20/0.55 cnf(i_0_1254, plain, (hBOOL(hAPP(hAPP(hAPP(c_Set_Oinsert(X1),X2),X3),X4))|~hBOOL(hAPP(X3,X4)))).
% 0.20/0.55 cnf(i_0_1131, 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)))).
% 0.20/0.55 cnf(i_0_1132, 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)))).
% 0.20/0.55 cnf(i_0_1133, 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)))).
% 0.20/0.55 cnf(i_0_1134, 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)))).
% 0.20/0.55 cnf(i_0_1135, 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)))).
% 0.20/0.55 cnf(i_0_1136, 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)))).
% 0.20/0.55 cnf(i_0_1137, 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)))).
% 0.20/0.55 cnf(i_0_1138, 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)))).
% 0.20/0.55 cnf(i_0_841, 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))).
% 0.20/0.55 cnf(i_0_801, 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))).
% 0.20/0.55 cnf(i_0_1082, plain, (hBOOL(hAPP(hAPP(c_lessequals(tc_fun(X1,tc_bool)),X2),X2)))).
% 0.20/0.55 cnf(i_0_1085, plain, (hBOOL(hAPP(hAPP(c_lessequals(tc_fun(X1,tc_bool)),X2),X2)))).
% 0.20/0.55 cnf(i_0_1018, 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)))).
% 0.20/0.55 cnf(i_0_1019, 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)))).
% 0.20/0.55 cnf(i_0_1016, plain, (c_Fun_Oinj__on(X1,c_Orderings_Obot__class_Obot(tc_fun(X2,tc_bool)),X2,X3))).
% 0.20/0.55 cnf(i_0_1103, plain, (c_SetInterval_Oord__class_OatLeastAtMost(X2,X3,X1)!=c_Orderings_Obot__class_Obot(tc_fun(X1,tc_bool))|~class_Orderings_Oorder(X1)|~hBOOL(hAPP(hAPP(c_lessequals(X1),X2),X3)))).
% 0.20/0.55 cnf(i_0_924, plain, (c_SetInterval_Oord__class_OatLeastAtMost(X2,X3,X1)!=c_Orderings_Obot__class_Obot(tc_fun(X1,tc_bool))|~class_Orderings_Oorder(X1)|~hBOOL(hAPP(hAPP(c_lessequals(X1),X2),X3)))).
% 0.20/0.55 cnf(i_0_1247, 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)))).
% 0.20/0.55 cnf(i_0_1044, plain, (hBOOL(c_in(X1,hAPP(hAPP(c_Set_Oinsert(X2),X1),X3),X2)))).
% 0.20/0.55 cnf(i_0_1045, plain, (hBOOL(c_in(X1,hAPP(hAPP(c_Set_Oinsert(X2),X1),X3),X2)))).
% 0.20/0.55 cnf(i_0_1046, plain, (hBOOL(c_in(X1,hAPP(hAPP(c_Set_Oinsert(X2),X1),X3),X2)))).
% 0.20/0.55 cnf(i_0_1147, 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))).
% 0.20/0.55 cnf(i_0_776, 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))).
% 0.20/0.55 cnf(i_0_777, 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))).
% 0.20/0.55 cnf(i_0_750, 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))).
% 0.20/0.55 cnf(i_0_751, 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))).
% 0.20/0.55 cnf(i_0_796, plain, (hBOOL(hAPP(hAPP(c_lessequals(X1),X2),hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(X1),X3),X2)))|~class_Lattices_Oupper__semilattice(X1))).
% 0.20/0.55 cnf(i_0_799, plain, (hBOOL(hAPP(hAPP(c_lessequals(X1),X2),hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(X1),X3),X2)))|~class_Lattices_Olattice(X1))).
% 0.20/0.55 cnf(i_0_795, plain, (hBOOL(hAPP(hAPP(c_lessequals(X1),X2),hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(X1),X2),X3)))|~class_Lattices_Oupper__semilattice(X1))).
% 0.20/0.55 cnf(i_0_800, plain, (hBOOL(hAPP(hAPP(c_lessequals(X1),X2),hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(X1),X2),X3)))|~class_Lattices_Olattice(X1))).
% 0.20/0.55 cnf(i_0_684, plain, (c_Finite__Set_Ofinite(hAPP(hAPP(c_HOL_Ominus__class_Ominus(tc_fun(X1,tc_bool)),X2),X3),X1)|~c_Finite__Set_Ofinite(X2,X1))).
% 0.20/0.55 cnf(i_0_979, 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))).
% 0.20/0.55 cnf(i_0_980, 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))).
% 0.20/0.55 cnf(i_0_1020, plain, (c_Set_Oimage(X2,c_Orderings_Obot__class_Obot(tc_fun(X3,tc_bool)),X3,X1)=c_Orderings_Obot__class_Obot(tc_fun(X1,tc_bool)))).
% 0.20/0.55 cnf(i_0_1015, plain, (c_Set_Oimage(X1,c_Orderings_Obot__class_Obot(tc_fun(X2,tc_bool)),X2,X3)=c_Orderings_Obot__class_Obot(tc_fun(X3,tc_bool)))).
% 0.20/0.55 cnf(i_0_991, 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)))).
% 0.20/0.55 cnf(i_0_1253, 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))))).
% 0.20/0.55 cnf(i_0_996, plain, (~hBOOL(c_in(X1,c_Orderings_Obot__class_Obot(tc_fun(X2,tc_bool)),X2)))).
% 0.20/0.55 cnf(i_0_998, plain, (~hBOOL(c_in(X1,c_Orderings_Obot__class_Obot(tc_fun(X2,tc_bool)),X2)))).
% 0.20/0.55 cnf(i_0_999, plain, (~hBOOL(c_in(X1,c_Orderings_Obot__class_Obot(tc_fun(X2,tc_bool)),X2)))).
% 0.20/0.55 cnf(i_0_1153, 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)))).
% 0.20/0.55 cnf(i_0_1154, 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)))).
% 0.20/0.55 cnf(i_0_766, plain, (~class_Orderings_Opreorder(X1)|~hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(X1),X3),X2))|~hBOOL(hAPP(hAPP(c_lessequals(X1),X2),X3)))).
% 0.20/0.55 cnf(i_0_1150, 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)))).
% 0.20/0.55 cnf(i_0_1151, 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)))).
% 0.20/0.55 cnf(i_0_764, plain, (~class_Orderings_Olinorder(X1)|~hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(X1),X3),X2))|~hBOOL(hAPP(hAPP(c_lessequals(X1),X2),X3)))).
% 0.20/0.55 cnf(i_0_762, plain, (~class_Orderings_Olinorder(X1)|~hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(X1),X2),X3))|~hBOOL(hAPP(hAPP(c_lessequals(X1),X3),X2)))).
% 0.20/0.55 cnf(i_0_760, plain, (~class_Orderings_Olinorder(X1)|~hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(X1),X2),X2))|~hBOOL(hAPP(hAPP(c_lessequals(X1),X2),X2)))).
% 0.20/0.55 cnf(i_0_898, plain, (X2=X3|~class_Orderings_Oorder(X1)|~hBOOL(hAPP(hAPP(c_lessequals(X1),X3),X2))|~hBOOL(hAPP(hAPP(c_lessequals(X1),X2),X3)))).
% 0.20/0.55 cnf(i_0_900, plain, (X2=X3|~class_Orderings_Oorder(X1)|~hBOOL(hAPP(hAPP(c_lessequals(X1),X3),X2))|~hBOOL(hAPP(hAPP(c_lessequals(X1),X2),X3)))).
% 0.20/0.55 cnf(i_0_901, plain, (X2=X3|~class_Orderings_Oorder(X1)|~hBOOL(hAPP(hAPP(c_lessequals(X1),X3),X2))|~hBOOL(hAPP(hAPP(c_lessequals(X1),X2),X3)))).
% 0.20/0.55 cnf(i_0_723, 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))).
% 0.20/0.55 cnf(i_0_724, 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))).
% 0.20/0.55 cnf(i_0_698, plain, (c_Finite__Set_Ofinite(hAPP(hAPP(c_HOL_Ominus__class_Ominus(tc_fun(X1,tc_bool)),X2),X3),X1)|~c_Finite__Set_Ofinite(X3,X1)|~c_Finite__Set_Ofinite(X2,X1))).
% 0.20/0.55 cnf(i_0_945, plain, (c_Complete__Lattice_Ocomplete__lattice__class_OINFI(c_Orderings_Obot__class_Obot(tc_fun(X1,tc_bool)),X2,X1,tc_fun(X3,tc_bool))=c_Orderings_Otop__class_Otop(tc_fun(X3,tc_bool)))).
% 0.20/0.55 cnf(i_0_1139, plain, (hBOOL(hAPP(hAPP(c_lessequals(X1),X2),c_Finite__Set_Olinorder__class_OMax(X3,X1)))|~class_Orderings_Olinorder(X1)|~c_Finite__Set_Ofinite(X3,X1)|~hBOOL(c_in(X2,X3,X1)))).
% 0.20/0.55 cnf(i_0_1142, plain, (hBOOL(hAPP(hAPP(c_lessequals(X1),X2),hAPP(c_Complete__Lattice_OSup__class_OSup(X1),X3)))|~class_Complete__Lattice_Ocomplete__lattice(X1)|~hBOOL(c_in(X2,X3,X1)))).
% 0.20/0.55 cnf(i_0_1226, plain, (c_Wellfounded_OwfP(c_COMBK(c_COMBK(c_False,tc_bool,X1),tc_fun(X1,tc_bool),X1),X1))).
% 0.20/0.55 cnf(i_0_997, plain, (hBOOL(hAPP(X1,X2))|~hBOOL(c_in(X2,c_Orderings_Obot__class_Obot(tc_fun(X3,tc_bool)),X3)))).
% 0.20/0.55 cnf(i_0_1017, plain, (~hBOOL(hAPP(X1,X2))|~hBOOL(c_in(X2,c_Orderings_Obot__class_Obot(tc_fun(X3,tc_bool)),X3)))).
% 0.20/0.55 cnf(i_0_884, 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)))).
% 0.20/0.55 cnf(i_0_1047, plain, (X3=X4|hBOOL(c_in(X2,X4,X1))|hBOOL(c_in(X2,X3,X1))|hAPP(hAPP(c_Set_Oinsert(X1),X2),X3)!=hAPP(hAPP(c_Set_Oinsert(X1),X2),X4))).
% 0.20/0.55 cnf(i_0_1195, plain, (X2=c_Orderings_Obot__class_Obot(tc_fun(X4,tc_bool))|c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(X2,c_COMBK(X3,X1,X4),X4,X1)=X3|~class_Complete__Lattice_Ocomplete__lattice(X1))).
% 0.20/0.55 cnf(i_0_1193, plain, (X2=c_Orderings_Obot__class_Obot(tc_fun(X4,tc_bool))|c_Complete__Lattice_Ocomplete__lattice__class_OINFI(X2,c_COMBK(X3,X1,X4),X4,X1)=X3|~class_Complete__Lattice_Ocomplete__lattice(X1))).
% 0.20/0.55 cnf(i_0_940, plain, (hBOOL(hAPP(hAPP(c_lessequals(tc_fun(X1,tc_bool)),X2),c_Orderings_Otop__class_Otop(tc_fun(X1,tc_bool)))))).
% 0.20/0.55 cnf(i_0_1244, plain, (X2=X3|hBOOL(hAPP(X1,X2))|~hBOOL(hAPP(hAPP(hAPP(c_Set_Oinsert(X4),X3),X1),X2)))).
% 0.20/0.55 cnf(i_0_662, plain, (hAPP(hAPP(c_HOL_Ominus__class_Ominus(tc_fun(X1,tc_bool)),X2),X3)=X2|hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(X1,tc_bool)),X2),X3)!=c_Orderings_Obot__class_Obot(tc_fun(X1,tc_bool)))).
% 0.20/0.55 cnf(i_0_1119, plain, (hBOOL(hAPP(hAPP(c_lessequals(X1),c_Finite__Set_Olinorder__class_OMin(X2,X1)),X3))|~class_Orderings_Olinorder(X1)|~c_Finite__Set_Ofinite(X2,X1)|~hBOOL(c_in(X3,X2,X1)))).
% 0.20/0.55 cnf(i_0_1146, 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))).
% 0.20/0.55 cnf(i_0_1148, 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))).
% 0.20/0.55 cnf(i_0_1145, 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))).
% 0.20/0.55 cnf(i_0_1143, 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))).
% 0.20/0.55 cnf(i_0_775, 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))).
% 0.20/0.55 cnf(i_0_778, 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))).
% 0.20/0.55 cnf(i_0_749, 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))).
% 0.20/0.55 cnf(i_0_752, 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))).
% 0.20/0.55 cnf(i_0_661, 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))).
% 0.20/0.55 cnf(i_0_827, plain, (hAPP(hAPP(hAPP(c_HOL_Ominus__class_Ominus(tc_fun(t_a,X1)),X2),X3),v_x)=hAPP(hAPP(c_HOL_Ominus__class_Ominus(X1),hAPP(X2,v_x)),hAPP(X3,v_x))|~class_HOL_Ominus(X1))).
% 0.20/0.55 cnf(i_0_1075, 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))).
% 0.20/0.55 cnf(i_0_1194, plain, (c_Set_Oimage(c_COMBK(X1,X2,X3),c_Orderings_Obot__class_Obot(tc_fun(X3,tc_bool)),X3,X2)=c_Orderings_Obot__class_Obot(tc_fun(X2,tc_bool)))).
% 0.20/0.55 cnf(i_0_921, plain, (hBOOL(hAPP(hAPP(c_lessequals(X1),hAPP(c_Complete__Lattice_OInf__class_OInf(X1),X2)),X3))|~class_Complete__Lattice_Ocomplete__lattice(X1)|~hBOOL(c_in(X3,X2,X1)))).
% 0.20/0.55 cnf(i_0_1126, plain, (hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(X1),X4),X5))|hAPP(hAPP(c_HOL_Ominus__class_Ominus(X1),X2),X3)!=hAPP(hAPP(c_HOL_Ominus__class_Ominus(X1),X4),X5)|~class_OrderedGroup_Opordered__ab__group__add(X1)|~hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(X1),X2),X3)))).
% 0.20/0.55 cnf(i_0_1127, plain, (hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(X1),X2),X3))|hAPP(hAPP(c_HOL_Ominus__class_Ominus(X1),X2),X3)!=hAPP(hAPP(c_HOL_Ominus__class_Ominus(X1),X4),X5)|~class_OrderedGroup_Opordered__ab__group__add(X1)|~hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(X1),X4),X5)))).
% 0.20/0.55 cnf(i_0_1124, plain, (hBOOL(hAPP(hAPP(c_lessequals(X1),X5),X4))|hAPP(hAPP(c_HOL_Ominus__class_Ominus(X1),X2),X3)!=hAPP(hAPP(c_HOL_Ominus__class_Ominus(X1),X4),X5)|~class_OrderedGroup_Opordered__ab__group__add(X1)|~hBOOL(hAPP(hAPP(c_lessequals(X1),X3),X2)))).
% 0.20/0.55 cnf(i_0_1125, plain, (hBOOL(hAPP(hAPP(c_lessequals(X1),X3),X2))|hAPP(hAPP(c_HOL_Ominus__class_Ominus(X1),X2),X3)!=hAPP(hAPP(c_HOL_Ominus__class_Ominus(X1),X4),X5)|~class_OrderedGroup_Opordered__ab__group__add(X1)|~hBOOL(hAPP(hAPP(c_lessequals(X1),X5),X4)))).
% 0.20/0.55 cnf(i_0_649, 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)))).
% 0.20/0.55 cnf(i_0_1094, 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)))).
% 0.20/0.55 cnf(i_0_1095, 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)))).
% 0.20/0.55 cnf(i_0_650, 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)))).
% 0.20/0.55 cnf(i_0_1077, 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)))).
% 0.20/0.55 cnf(i_0_1078, 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)))).
% 0.20/0.55 cnf(i_0_1079, 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)))).
% 0.20/0.55 cnf(i_0_1076, 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)))).
% 0.20/0.55 cnf(i_0_1200, plain, (X1=c_Orderings_Obot__class_Obot(tc_fun(X4,tc_bool))|c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(X1,c_COMBK(X2,tc_fun(X3,tc_bool),X4),X4,tc_fun(X3,tc_bool))=X2)).
% 0.20/0.55 cnf(i_0_1199, plain, (X1=c_Orderings_Obot__class_Obot(tc_fun(X4,tc_bool))|c_Complete__Lattice_Ocomplete__lattice__class_OINFI(X1,c_COMBK(X2,tc_fun(X3,tc_bool),X4),X4,tc_fun(X3,tc_bool))=X2)).
% 0.20/0.55 cnf(i_0_955, plain, (hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(X1,tc_bool)),X2),hAPP(hAPP(c_HOL_Ominus__class_Ominus(tc_fun(X1,tc_bool)),X3),X2))=c_Orderings_Obot__class_Obot(tc_fun(X1,tc_bool)))).
% 0.20/0.55 cnf(i_0_992, plain, (X2=c_Orderings_Obot__class_Obot(tc_fun(X3,tc_bool))|c_Set_Oimage(X1,X2,X3,X4)!=c_Orderings_Obot__class_Obot(tc_fun(X4,tc_bool)))).
% 0.20/0.55 cnf(i_0_1014, plain, (X3=c_Orderings_Obot__class_Obot(tc_fun(X4,tc_bool))|c_Set_Oimage(X2,X3,X4,X1)!=c_Orderings_Obot__class_Obot(tc_fun(X1,tc_bool)))).
% 0.20/0.55 cnf(i_0_859, 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))).
% 0.20/0.55 cnf(i_0_858, 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))).
% 0.20/0.55 cnf(i_0_978, 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)))).
% 0.20/0.55 cnf(i_0_977, 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)))).
% 0.20/0.55 cnf(i_0_1067, 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)))).
% 0.20/0.55 cnf(i_0_1068, 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)))).
% 0.20/0.55 cnf(i_0_1222, plain, (X4=c_Orderings_Obot__class_Obot(tc_fun(X3,tc_bool))|c_Set_Oimage(c_COMBK(X1,X2,X3),X4,X3,X2)=hAPP(hAPP(c_Set_Oinsert(X2),X1),c_Orderings_Obot__class_Obot(tc_fun(X2,tc_bool))))).
% 0.20/0.55 cnf(i_0_1029, plain, (hBOOL(c_in(X1,hAPP(hAPP(c_Set_Oinsert(X2),X3),X4),X2))|~hBOOL(c_in(X1,X4,X2)))).
% 0.20/0.55 cnf(i_0_1030, plain, (hBOOL(c_in(X1,hAPP(hAPP(c_Set_Oinsert(X2),X3),X4),X2))|~hBOOL(c_in(X1,X4,X2)))).
% 0.20/0.55 cnf(i_0_1091, plain, (c_Finite__Set_Ofinite(X1,X2)|~c_Finite__Set_Ofinite(X3,X2)|~hBOOL(hAPP(hAPP(c_lessequals(tc_fun(X2,tc_bool)),X1),X3)))).
% 0.20/0.55 cnf(i_0_1093, plain, (c_Finite__Set_Ofinite(X1,X2)|~c_Finite__Set_Ofinite(X3,X2)|~hBOOL(hAPP(hAPP(c_lessequals(tc_fun(X2,tc_bool)),X1),X3)))).
% 0.20/0.55 cnf(i_0_1037, plain, (hBOOL(hAPP(hAPP(c_lessequals(tc_fun(X1,tc_bool)),X2),hAPP(hAPP(c_Set_Oinsert(X1),X3),X2))))).
% 0.20/0.55 cnf(i_0_1013, plain, (hBOOL(hAPP(hAPP(c_lessequals(tc_fun(X1,tc_bool)),c_Orderings_Obot__class_Obot(tc_fun(X1,tc_bool))),X2)))).
% 0.20/0.55 cnf(i_0_821, 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(c_in(X3,X2,X1)))).
% 0.20/0.55 cnf(i_0_1201, plain, (c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(c_Orderings_Obot__class_Obot(tc_fun(X1,tc_bool)),c_COMBK(X2,tc_fun(X3,tc_bool),X1),X1,tc_fun(X3,tc_bool))=c_Orderings_Obot__class_Obot(tc_fun(X3,tc_bool)))).
% 0.20/0.55 cnf(i_0_1054, plain, (c_Complete__Lattice_Ocomplete__lattice__class_OINFI(c_Orderings_Obot__class_Obot(tc_fun(X1,tc_bool)),c_COMBK(X2,tc_fun(X3,tc_bool),X1),X1,tc_fun(X3,tc_bool))=c_Orderings_Otop__class_Otop(tc_fun(X3,tc_bool)))).
% 0.20/0.55 cnf(i_0_697, plain, (c_Finite__Set_Ofinite(X1,X2)|~c_Finite__Set_Ofinite(X3,X2)|~c_Finite__Set_Ofinite(hAPP(hAPP(c_HOL_Ominus__class_Ominus(tc_fun(X2,tc_bool)),X1),X3),X2))).
% 0.20/0.55 cnf(i_0_1252, 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)))))).
% 0.20/0.55 cnf(i_0_915, plain, (hBOOL(hAPP(hAPP(c_lessequals(tc_fun(X1,tc_bool)),X2),X3))|hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(X1,tc_bool)),X2),X3)!=X3)).
% 0.20/0.55 cnf(i_0_738, 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))).
% 0.20/0.55 cnf(i_0_1144, 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))).
% 0.20/0.55 cnf(i_0_947, 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))).
% 0.20/0.55 cnf(i_0_657, 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))).
% 0.20/0.55 cnf(i_0_930, plain, (hBOOL(hAPP(hAPP(c_lessequals(X1),hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(X1),X2),X3)),X3))|~class_Lattices_Olattice(X1))).
% 0.20/0.55 cnf(i_0_934, plain, (hBOOL(hAPP(hAPP(c_lessequals(X1),hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(X1),X2),X3)),X3))|~class_Lattices_Olower__semilattice(X1))).
% 0.20/0.55 cnf(i_0_929, plain, (hBOOL(hAPP(hAPP(c_lessequals(X1),hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(X1),X2),X3)),X2))|~class_Lattices_Olattice(X1))).
% 0.20/0.55 cnf(i_0_935, plain, (hBOOL(hAPP(hAPP(c_lessequals(X1),hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(X1),X2),X3)),X2))|~class_Lattices_Olower__semilattice(X1))).
% 0.20/0.55 cnf(i_0_1169, plain, (hBOOL(c_in(X1,hAPP(hAPP(c_Set_Oinsert(X2),X1),c_Orderings_Obot__class_Obot(tc_fun(X2,tc_bool))),X2)))).
% 0.20/0.55 cnf(i_0_916, plain, (c_Finite__Set_Ofinite(c_Set_Oimage(X1,X2,X3,X4),X4)|~c_Finite__Set_Ofinite(X2,X3))).
% 0.20/0.55 cnf(i_0_1186, plain, (c_The(c_Finite__Set_Ofold1Set(X1,hAPP(hAPP(c_Set_Oinsert(X2),X3),c_Orderings_Obot__class_Obot(tc_fun(X2,tc_bool))),X2),X2)=X3)).
% 0.20/0.55 cnf(i_0_1092, plain, (hBOOL(hAPP(X1,X2))|~hBOOL(hAPP(X4,X2))|~hBOOL(hAPP(hAPP(c_lessequals(tc_fun(X3,tc_bool)),X4),X1)))).
% 0.20/0.55 cnf(i_0_1088, plain, (hBOOL(hAPP(X1,X2))|~hBOOL(hAPP(X3,X2))|~hBOOL(hAPP(hAPP(c_lessequals(tc_fun(X4,tc_bool)),X3),X1)))).
% 0.20/0.55 cnf(i_0_1198, plain, (c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(X1,c_COMBK(c_Orderings_Obot__class_Obot(tc_fun(X2,tc_bool)),tc_fun(X2,tc_bool),X3),X3,tc_fun(X2,tc_bool))=c_Orderings_Obot__class_Obot(tc_fun(X2,tc_bool)))).
% 0.20/0.55 cnf(i_0_1248, plain, (hAPP(hAPP(hAPP(c_COMBB(X1,X2,X3),X4),X5),X6)=hAPP(X4,hAPP(X5,X6)))).
% 0.20/0.55 cnf(i_0_1284, plain, (hAPP(hAPP(hAPP(c_COMBB(X1,X2,X3),X4),X5),X6)=hAPP(X4,hAPP(X5,X6)))).
% 0.20/0.55 cnf(i_0_848, 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))).
% 0.20/0.55 cnf(i_0_826, plain, (hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(X1,tc_bool)),X2),hAPP(hAPP(c_HOL_Ominus__class_Ominus(tc_fun(X1,tc_bool)),X3),X2))=hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(X1,tc_bool)),X2),X3))).
% 0.20/0.55 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)),X2),X3))=hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(X1,tc_bool)),X2),X3))).
% 0.20/0.55 cnf(i_0_1039, 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)))).
% 0.20/0.55 cnf(i_0_1251, plain, (hAPP(hAPP(hAPP(c_COMBS(X1,X2,X3),X4),X5),X6)=hAPP(hAPP(X4,X6),hAPP(X5,X6)))).
% 0.20/0.55 cnf(i_0_1282, plain, (hAPP(hAPP(hAPP(c_COMBS(X1,X2,X3),X4),X5),X6)=hAPP(hAPP(X4,X6),hAPP(X5,X6)))).
% 0.20/0.55 cnf(i_0_1027, 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))).
% 0.20/0.55 cnf(i_0_1024, 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))).
% 0.20/0.55 cnf(i_0_913, plain, (hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(X1,tc_bool)),X2),X3)=X3|~hBOOL(hAPP(hAPP(c_lessequals(tc_fun(X1,tc_bool)),X2),X3)))).
% 0.20/0.55 cnf(i_0_914, plain, (hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(X1,tc_bool)),X2),X3)=X2|~hBOOL(hAPP(hAPP(c_lessequals(tc_fun(X1,tc_bool)),X3),X2)))).
% 0.20/0.55 cnf(i_0_786, plain, (hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(X1,tc_bool)),X2),X3)=X3|~hBOOL(hAPP(hAPP(c_lessequals(tc_fun(X1,tc_bool)),X3),X2)))).
% 0.20/0.55 cnf(i_0_785, plain, (hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(X1,tc_bool)),X2),X3)=X2|~hBOOL(hAPP(hAPP(c_lessequals(tc_fun(X1,tc_bool)),X2),X3)))).
% 0.20/0.55 cnf(i_0_1000, plain, (hBOOL(hAPP(hAPP(c_lessequals(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)))))).
% 0.20/0.55 cnf(i_0_831, 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))))).
% 0.20/0.55 cnf(i_0_835, 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))))).
% 0.20/0.55 cnf(i_0_830, 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))))).
% 0.20/0.55 cnf(i_0_834, 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))))).
% 0.20/0.55 cnf(i_0_822, 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(c_in(X2,X4,X1)))).
% 0.20/0.55 cnf(i_0_1191, 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))).
% 0.20/0.55 cnf(i_0_1034, plain, (X1=X4|hBOOL(c_in(X1,X2,X3))|~hBOOL(c_in(X1,hAPP(hAPP(c_Set_Oinsert(X3),X4),X2),X3)))).
% 0.20/0.55 cnf(i_0_665, plain, (c_Finite__Set_Ofinite(hAPP(hAPP(c_COMBB(tc_bool,tc_bool,X1),c_Not),X2),X1)|~c_Finite__Set_Ofinite(X2,X1)|~c_Finite__Set_Ofinite(c_Orderings_Otop__class_Otop(tc_fun(X1,tc_bool)),X1))).
% 0.20/0.55 cnf(i_0_875, plain, (hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(X3,tc_bool)),X4),X2)!=c_Orderings_Obot__class_Obot(tc_fun(X3,tc_bool))|~hBOOL(c_in(X1,X4,X3))|~hBOOL(c_in(X1,X2,X3)))).
% 0.20/0.55 cnf(i_0_1022, plain, (hAPP(c_COMBC(c_fequal(X1),X1,X1,tc_bool),X2)=hAPP(hAPP(c_Set_Oinsert(X1),X2),c_Orderings_Obot__class_Obot(tc_fun(X1,tc_bool))))).
% 0.20/0.55 cnf(i_0_946, 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))).
% 0.20/0.55 cnf(i_0_656, 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))).
% 0.20/0.55 cnf(i_0_1158, plain, (c_Set_Oimage(c_COMBK(X1,X2,X3),X4,X3,X2)=hAPP(hAPP(c_Set_Oinsert(X2),X1),c_Orderings_Obot__class_Obot(tc_fun(X2,tc_bool)))|~hBOOL(c_in(X5,X4,X3)))).
% 0.20/0.55 cnf(i_0_1001, plain, (X1=c_Orderings_Obot__class_Obot(tc_fun(X2,tc_bool))|~hBOOL(hAPP(hAPP(c_lessequals(tc_fun(X2,tc_bool)),X1),c_Orderings_Obot__class_Obot(tc_fun(X2,tc_bool)))))).
% 0.20/0.55 cnf(i_0_742, plain, (hBOOL(hAPP(hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(X1,tc_bool)),X2),X3),X4))|~hBOOL(hAPP(X3,X4)))).
% 0.20/0.55 cnf(i_0_743, plain, (hBOOL(hAPP(hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(X1,tc_bool)),X2),X3),X4))|~hBOOL(hAPP(X2,X4)))).
% 0.20/0.55 cnf(i_0_931, 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)))).
% 0.20/0.55 cnf(i_0_932, 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)))).
% 0.20/0.55 cnf(i_0_933, 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)))).
% 0.20/0.55 cnf(i_0_1026, plain, (hAPP(hAPP(c_HOL_Ominus__class_Ominus(tc_fun(X1,tc_bool)),hAPP(hAPP(c_Set_Oinsert(X1),X2),X3)),hAPP(hAPP(c_Set_Oinsert(X1),X2),c_Orderings_Obot__class_Obot(tc_fun(X1,tc_bool))))=X3|hBOOL(c_in(X2,X3,X1)))).
% 0.20/0.55 cnf(i_0_678, plain, (hAPP(hAPP(c_HOL_Ominus__class_Ominus(tc_fun(X1,tc_bool)),hAPP(hAPP(c_Set_Oinsert(X1),X2),X3)),X4)=hAPP(hAPP(c_HOL_Ominus__class_Ominus(tc_fun(X1,tc_bool)),X3),X4)|~hBOOL(c_in(X2,X4,X1)))).
% 0.20/0.55 cnf(i_0_857, plain, (hAPP(X3,X5)=c_Orderings_Obot__class_Obot(tc_fun(X1,tc_bool))|c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(X2,X3,X4,tc_fun(X1,tc_bool))!=c_Orderings_Obot__class_Obot(tc_fun(X1,tc_bool))|~hBOOL(c_in(X5,X2,X4)))).
% 0.20/0.55 cnf(i_0_867, plain, (hAPP(X3,X5)=c_Orderings_Otop__class_Otop(tc_fun(X1,tc_bool))|c_Complete__Lattice_Ocomplete__lattice__class_OINFI(X2,X3,X4,tc_fun(X1,tc_bool))!=c_Orderings_Otop__class_Otop(tc_fun(X1,tc_bool))|~hBOOL(c_in(X5,X2,X4)))).
% 0.20/0.55 cnf(i_0_700, plain, (hAPP(X2,X5)=c_Orderings_Obot__class_Obot(tc_fun(X4,tc_bool))|c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(X1,X2,X3,tc_fun(X4,tc_bool))!=c_Orderings_Obot__class_Obot(tc_fun(X4,tc_bool))|~hBOOL(c_in(X5,X1,X3)))).
% 0.20/0.55 cnf(i_0_838, plain, (hAPP(X2,X5)=c_Orderings_Otop__class_Otop(tc_fun(X4,tc_bool))|c_Complete__Lattice_Ocomplete__lattice__class_OINFI(X1,X2,X3,tc_fun(X4,tc_bool))!=c_Orderings_Otop__class_Otop(tc_fun(X4,tc_bool))|~hBOOL(c_in(X5,X1,X3)))).
% 0.20/0.55 cnf(i_0_1040, 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)))).
% 0.20/0.55 cnf(i_0_905, 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)))).
% 0.20/0.55 cnf(i_0_906, 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)))).
% 0.20/0.55 cnf(i_0_833, 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)))).
% 0.20/0.55 cnf(i_0_832, 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)))).
% 0.20/0.55 cnf(i_0_1122, 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)))).
% 0.20/0.55 cnf(i_0_1003, plain, (~hBOOL(hAPP(c_Finite__Set_Ofold1Set(X1,c_Orderings_Obot__class_Obot(tc_fun(X2,tc_bool)),X2),X3)))).
% 0.20/0.55 cnf(i_0_1073, plain, (X3=c_Orderings_Obot__class_Obot(tc_fun(X1,tc_bool))|hAPP(hAPP(c_HOL_Otimes__class_Otimes(X1),X2),c_The(c_Finite__Set_Ofold1Set(c_HOL_Otimes__class_Otimes(X1),X3,X1),X1))=c_The(c_Finite__Set_Ofold1Set(c_HOL_Otimes__class_Otimes(X1),hAPP(hAPP(c_Set_Oinsert(X1),X2),X3),X1),X1)|~class_OrderedGroup_Oab__semigroup__idem__mult(X1)|~c_Finite__Set_Ofinite(X3,X1))).
% 0.20/0.55 cnf(i_0_869, 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))).
% 0.20/0.55 cnf(i_0_868, 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))).
% 0.20/0.55 cnf(i_0_1080, plain, (hBOOL(c_in(X1,X2,X3))|~hBOOL(c_in(X1,X4,X3))|~hBOOL(hAPP(hAPP(c_lessequals(tc_fun(X3,tc_bool)),X4),X2)))).
% 0.20/0.55 cnf(i_0_1081, plain, (hBOOL(c_in(X1,X2,X3))|~hBOOL(c_in(X1,X4,X3))|~hBOOL(hAPP(hAPP(c_lessequals(tc_fun(X3,tc_bool)),X4),X2)))).
% 0.20/0.55 cnf(i_0_1083, plain, (hBOOL(c_in(X1,X2,X3))|~hBOOL(c_in(X1,X4,X3))|~hBOOL(hAPP(hAPP(c_lessequals(tc_fun(X3,tc_bool)),X4),X2)))).
% 0.20/0.55 cnf(i_0_1084, plain, (hBOOL(c_in(X1,X2,X3))|~hBOOL(c_in(X1,X4,X3))|~hBOOL(hAPP(hAPP(c_lessequals(tc_fun(X3,tc_bool)),X4),X2)))).
% 0.20/0.55 cnf(i_0_926, 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(c_in(X3,X2,X1)))).
% 0.20/0.55 cnf(i_0_981, plain, (hBOOL(hAPP(hAPP(c_lessequals(X1),hAPP(X2,X3)),hAPP(X4,X3)))|~class_HOL_Oord(X1)|~hBOOL(hAPP(hAPP(c_lessequals(tc_fun(X5,X1)),X2),X4)))).
% 0.20/0.55 cnf(i_0_918, plain, (X3=c_Orderings_Obot__class_Obot(tc_fun(X1,tc_bool))|hBOOL(hAPP(hAPP(c_lessequals(X1),c_Finite__Set_Olinorder__class_OMin(X2,X1)),c_Finite__Set_Olinorder__class_OMin(X3,X1)))|~class_Orderings_Olinorder(X1)|~c_Finite__Set_Ofinite(X2,X1)|~hBOOL(hAPP(hAPP(c_lessequals(tc_fun(X1,tc_bool)),X3),X2)))).
% 0.20/0.55 cnf(i_0_770, plain, (X2=c_Orderings_Obot__class_Obot(tc_fun(X1,tc_bool))|hBOOL(hAPP(hAPP(c_lessequals(X1),c_Finite__Set_Olinorder__class_OMax(X2,X1)),c_Finite__Set_Olinorder__class_OMax(X3,X1)))|~class_Orderings_Olinorder(X1)|~c_Finite__Set_Ofinite(X3,X1)|~hBOOL(hAPP(hAPP(c_lessequals(tc_fun(X1,tc_bool)),X2),X3)))).
% 0.20/0.55 cnf(i_0_1235, plain, (X3=X7|c_Hoare__Mirabelle_Otriple_Otriple(X1,X2,X3,X4)!=c_Hoare__Mirabelle_Otriple_Otriple(X5,X6,X7,X4))).
% 0.20/0.55 cnf(i_0_1236, plain, (X2=X6|c_Hoare__Mirabelle_Otriple_Otriple(X1,X2,X3,X4)!=c_Hoare__Mirabelle_Otriple_Otriple(X5,X6,X7,X4))).
% 0.20/0.55 cnf(i_0_1237, plain, (X1=X5|c_Hoare__Mirabelle_Otriple_Otriple(X1,X2,X3,X4)!=c_Hoare__Mirabelle_Otriple_Otriple(X5,X6,X7,X4))).
% 0.20/0.55 cnf(i_0_781, plain, (X2=X3|hAPP(X1,X2)!=hAPP(X1,X3)|~c_Fun_Oinj__on(X1,X4,X5,X6)|~hBOOL(c_in(X3,X4,X5))|~hBOOL(c_in(X2,X4,X5)))).
% 0.20/0.55 cnf(i_0_782, plain, (X2=X3|hAPP(X1,X2)!=hAPP(X1,X3)|~c_Fun_Oinj__on(X1,X4,X5,X6)|~hBOOL(c_in(X3,X4,X5))|~hBOOL(c_in(X2,X4,X5)))).
% 0.20/0.55 cnf(i_0_783, plain, (X2=X3|hAPP(X1,X2)!=hAPP(X1,X3)|~c_Fun_Oinj__on(X1,X4,X5,X6)|~hBOOL(c_in(X3,X4,X5))|~hBOOL(c_in(X2,X4,X5)))).
% 0.20/0.55 cnf(i_0_784, plain, (X2=X3|hAPP(X1,X2)!=hAPP(X1,X3)|~c_Fun_Oinj__on(X1,X4,X5,X6)|~hBOOL(c_in(X3,X4,X5))|~hBOOL(c_in(X2,X4,X5)))).
% 0.20/0.55 cnf(i_0_863, plain, (hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(X1,tc_bool)),X2),c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(c_Orderings_Obot__class_Obot(tc_fun(X3,tc_bool)),X4,X3,tc_fun(X1,tc_bool)))=X2)).
% 0.20/0.55 cnf(i_0_652, plain, (hAPP(hAPP(c_HOL_Ominus__class_Ominus(tc_fun(X1,tc_bool)),X2),c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(c_Orderings_Obot__class_Obot(tc_fun(X3,tc_bool)),X4,X3,tc_fun(X1,tc_bool)))=X2)).
% 0.20/0.55 cnf(i_0_717, plain, (hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(X1,tc_bool)),X2),c_Complete__Lattice_Ocomplete__lattice__class_OINFI(c_Orderings_Obot__class_Obot(tc_fun(X3,tc_bool)),X4,X3,tc_fun(X1,tc_bool)))=X2)).
% 0.20/0.55 cnf(i_0_1038, 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)))).
% 0.20/0.55 cnf(i_0_731, plain, (c_Finite__Set_Ofinite(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(X1,X2,X3,tc_fun(X4,tc_bool)),X4)|~hBOOL(c_in(X5,X1,X3))|~c_Finite__Set_Ofinite(hAPP(X2,X5),X4))).
% 0.20/0.55 cnf(i_0_963, plain, (hAPP(hAPP(c_HOL_Ominus__class_Ominus(tc_fun(X1,tc_bool)),hAPP(hAPP(c_Set_Oinsert(X1),X2),X3)),X4)=hAPP(hAPP(c_Set_Oinsert(X1),X2),hAPP(hAPP(c_HOL_Ominus__class_Ominus(tc_fun(X1,tc_bool)),X3),X4))|hBOOL(c_in(X2,X4,X1)))).
% 0.20/0.55 cnf(i_0_1043, plain, (c_Fun_Oinj__on(X1,X2,X3,X4)|~c_Fun_Oinj__on(X1,hAPP(hAPP(c_Set_Oinsert(X3),X5),X2),X3,X4))).
% 0.20/0.55 cnf(i_0_1174, plain, (hAPP(hAPP(c_Set_Oinsert(X1),X2),c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(c_Orderings_Obot__class_Obot(tc_fun(X3,tc_bool)),X4,X3,tc_fun(X1,tc_bool)))=hAPP(hAPP(c_Set_Oinsert(X1),X2),c_Orderings_Obot__class_Obot(tc_fun(X1,tc_bool))))).
% 0.20/0.55 cnf(i_0_1188, plain, (hAPP(hAPP(c_Set_Oinsert(X1),X2),hAPP(hAPP(c_HOL_Ominus__class_Ominus(tc_fun(X1,tc_bool)),X3),hAPP(hAPP(c_Set_Oinsert(X1),X2),c_Orderings_Obot__class_Obot(tc_fun(X1,tc_bool)))))=hAPP(hAPP(c_Set_Oinsert(X1),X2),X3))).
% 0.20/0.55 cnf(i_0_1238, 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)))))).
% 0.20/0.55 cnf(i_0_1239, 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)))))).
% 0.20/0.55 cnf(i_0_1240, 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)))))).
% 0.20/0.55 cnf(i_0_1241, 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)))))).
% 0.20/0.55 cnf(i_0_889, plain, (X3=c_Orderings_Obot__class_Obot(tc_fun(X1,tc_bool))|hAPP(hAPP(c_HOL_Otimes__class_Otimes(X1),X2),c_The(c_Finite__Set_Ofold1Set(c_HOL_Otimes__class_Otimes(X1),X3,X1),X1))=c_The(c_Finite__Set_Ofold1Set(c_HOL_Otimes__class_Otimes(X1),hAPP(hAPP(c_Set_Oinsert(X1),X2),X3),X1),X1)|hBOOL(c_in(X2,X3,X1))|~class_OrderedGroup_Oab__semigroup__mult(X1)|~c_Finite__Set_Ofinite(X3,X1))).
% 0.20/0.55 cnf(i_0_1185, plain, (X1=X2|~hBOOL(c_in(X1,hAPP(hAPP(c_Set_Oinsert(X3),X2),c_Orderings_Obot__class_Obot(tc_fun(X3,tc_bool))),X3)))).
% 0.20/0.55 cnf(i_0_1231, plain, (c_Hoare__Mirabelle_Ohoare__derivs(X1,hAPP(hAPP(c_Set_Oinsert(tc_Hoare__Mirabelle_Otriple(X2)),X3),X4),X2)|~c_Hoare__Mirabelle_Ohoare__derivs(X1,X4,X2)|~c_Hoare__Mirabelle_Ohoare__derivs(X1,hAPP(hAPP(c_Set_Oinsert(tc_Hoare__Mirabelle_Otriple(X2)),X3),c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(X2),tc_bool))),X2))).
% 0.20/0.55 cnf(i_0_1061, plain, (hBOOL(c_in(X1,hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(X2,tc_bool)),X3),X4),X2))|~hBOOL(c_in(X1,X4,X2)))).
% 0.20/0.55 cnf(i_0_1062, plain, (hBOOL(c_in(X1,hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(X2,tc_bool)),X3),X4),X2))|~hBOOL(c_in(X1,X3,X2)))).
% 0.20/0.55 cnf(i_0_664, plain, (c_Finite__Set_Ofinite(c_Orderings_Otop__class_Otop(tc_fun(X1,tc_bool)),X1)|~c_Finite__Set_Ofinite(X2,X1)|~c_Finite__Set_Ofinite(hAPP(hAPP(c_COMBB(tc_bool,tc_bool,X1),c_Not),X2),X1))).
% 0.20/0.55 cnf(i_0_825, plain, (hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(X1,tc_bool)),hAPP(hAPP(c_HOL_Ominus__class_Ominus(tc_fun(X1,tc_bool)),X2),X3)),X3)=hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(X1,tc_bool)),X2),X3))).
% 0.20/0.55 cnf(i_0_758, plain, (hAPP(hAPP(c_HOL_Ominus__class_Ominus(tc_fun(X1,tc_bool)),hAPP(hAPP(c_HOL_Ominus__class_Ominus(tc_fun(X1,tc_bool)),X2),X3)),X3)=hAPP(hAPP(c_HOL_Ominus__class_Ominus(tc_fun(X1,tc_bool)),X2),X3))).
% 0.20/0.55 cnf(i_0_773, 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)))).
% 0.20/0.55 cnf(i_0_754, 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)))).
% 0.20/0.55 cnf(i_0_794, 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)))).
% 0.20/0.55 cnf(i_0_797, 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)))).
% 0.20/0.55 cnf(i_0_798, 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)))).
% 0.20/0.55 cnf(i_0_791, plain, (hBOOL(hAPP(hAPP(c_lessequals(tc_fun(X1,tc_bool)),X2),hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(X1,tc_bool)),X3),X2))))).
% 0.20/0.55 cnf(i_0_792, plain, (hBOOL(hAPP(hAPP(c_lessequals(tc_fun(X1,tc_bool)),X2),hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(X1,tc_bool)),X2),X3))))).
% 0.20/0.55 cnf(i_0_925, 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(c_in(X2,X4,X1)))).
% 0.20/0.55 cnf(i_0_805, plain, (hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(X1,tc_bool)),X2),hAPP(hAPP(c_HOL_Ominus__class_Ominus(tc_fun(X1,tc_bool)),X3),X2))=X3|~hBOOL(hAPP(hAPP(c_lessequals(tc_fun(X1,tc_bool)),X2),X3)))).
% 0.20/0.55 cnf(i_0_1110, plain, (hBOOL(c_in(X1,hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(X2,tc_bool)),X3),X4),X2))|~hBOOL(hAPP(X4,X1))|~hBOOL(c_in(X1,X3,X2)))).
% 0.20/0.55 cnf(i_0_896, plain, (X1=X2|~hBOOL(hAPP(hAPP(c_lessequals(tc_fun(X3,tc_bool)),X2),X1))|~hBOOL(hAPP(hAPP(c_lessequals(tc_fun(X3,tc_bool)),X1),X2)))).
% 0.20/0.55 cnf(i_0_897, plain, (X1=X2|~hBOOL(hAPP(hAPP(c_lessequals(tc_fun(X3,tc_bool)),X2),X1))|~hBOOL(hAPP(hAPP(c_lessequals(tc_fun(X3,tc_bool)),X1),X2)))).
% 0.20/0.55 cnf(i_0_1184, plain, (X1=c_Nitpick_Osko__Nitpick__XEx1__def__1__3(hAPP(hAPP(c_Set_Oinsert(X2),X3),c_Orderings_Obot__class_Obot(tc_fun(X2,tc_bool))),X2)|~hBOOL(hAPP(hAPP(hAPP(c_Set_Oinsert(X2),X3),c_Orderings_Obot__class_Obot(tc_fun(X2,tc_bool))),X1)))).
% 0.20/0.55 cnf(i_0_685, plain, (c_Fun_Oinj__on(X1,hAPP(hAPP(c_HOL_Ominus__class_Ominus(tc_fun(X2,tc_bool)),X3),X4),X2,X5)|~c_Fun_Oinj__on(X1,X3,X2,X5))).
% 0.20/0.55 cnf(i_0_1065, 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)))).
% 0.20/0.55 cnf(i_0_1069, 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)))).
% 0.20/0.55 cnf(i_0_1066, 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)))).
% 0.20/0.55 cnf(i_0_1070, 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)))).
% 0.20/0.55 cnf(i_0_1023, plain, (hAPP(hAPP(c_Set_Oinsert(X1),X2),hAPP(hAPP(c_HOL_Ominus__class_Ominus(tc_fun(X1,tc_bool)),X3),hAPP(hAPP(c_Set_Oinsert(X1),X2),c_Orderings_Obot__class_Obot(tc_fun(X1,tc_bool)))))=X3|~hBOOL(c_in(X2,X3,X1)))).
% 0.20/0.55 cnf(i_0_870, 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))).
% 0.20/0.55 cnf(i_0_1031, plain, (c_Set_Oimage(X1,hAPP(hAPP(c_Set_Oinsert(X2),X3),X4),X2,X5)=hAPP(hAPP(c_Set_Oinsert(X5),hAPP(X1,X3)),c_Set_Oimage(X1,X4,X2,X5)))).
% 0.20/0.55 cnf(i_0_1041, plain, (hBOOL(hAPP(hAPP(c_lessequals(tc_fun(X1,tc_bool)),X2),hAPP(hAPP(c_Set_Oinsert(X1),X3),X4)))|~hBOOL(hAPP(hAPP(c_lessequals(tc_fun(X1,tc_bool)),X2),X4)))).
% 0.20/0.55 cnf(i_0_812, plain, (hBOOL(c_in(X1,X4,X2))|hBOOL(c_in(X1,hAPP(hAPP(c_HOL_Ominus__class_Ominus(tc_fun(X2,tc_bool)),X3),X4),X2))|~hBOOL(c_in(X1,X3,X2)))).
% 0.20/0.55 cnf(i_0_813, plain, (hBOOL(c_in(X1,X4,X2))|hBOOL(c_in(X1,hAPP(hAPP(c_HOL_Ominus__class_Ominus(tc_fun(X2,tc_bool)),X3),X4),X2))|~hBOOL(c_in(X1,X3,X2)))).
% 0.20/0.55 cnf(i_0_964, plain, (hBOOL(hAPP(X1,X2))|~hBOOL(hAPP(hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(X3,tc_bool)),X4),X1),X2)))).
% 0.20/0.55 cnf(i_0_965, plain, (hBOOL(hAPP(X1,X2))|~hBOOL(hAPP(hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(X3,tc_bool)),X1),X4),X2)))).
% 0.20/0.55 cnf(i_0_1056, plain, (c_Finite__Set_Ofinite(hAPP(hAPP(c_HOL_Ominus__class_Ominus(tc_fun(X1,tc_bool)),X2),hAPP(hAPP(c_Set_Oinsert(X1),X3),X4)),X1)|~c_Finite__Set_Ofinite(hAPP(hAPP(c_HOL_Ominus__class_Ominus(tc_fun(X1,tc_bool)),X2),X4),X1))).
% 0.20/0.55 cnf(i_0_907, plain, (hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(X1,tc_bool)),hAPP(hAPP(c_HOL_Ominus__class_Ominus(tc_fun(X1,tc_bool)),X2),X3)),hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(X1,tc_bool)),X2),X3))=X2)).
% 0.20/0.55 cnf(i_0_741, 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)))).
% 0.20/0.55 cnf(i_0_816, plain, (hAPP(hAPP(c_Set_Oinsert(X1),hAPP(X2,X3)),c_Set_Oimage(X2,X4,X5,X1))=c_Set_Oimage(X2,X4,X5,X1)|~hBOOL(c_in(X3,X4,X5)))).
% 0.20/0.55 cnf(i_0_740, plain, (hAPP(hAPP(c_Finite__Set_Osetsum(X2,X1),X3),hAPP(hAPP(c_HOL_Ominus__class_Ominus(tc_fun(X2,tc_bool)),X4),hAPP(hAPP(c_Set_Oinsert(X2),X5),c_Orderings_Obot__class_Obot(tc_fun(X2,tc_bool)))))=hAPP(hAPP(c_Finite__Set_Osetsum(X2,X1),X3),X4)|hBOOL(c_in(X5,X4,X2))|~class_OrderedGroup_Oab__group__add(X1)|~c_Finite__Set_Ofinite(X4,X2))).
% 0.20/0.55 cnf(i_0_1120, plain, (hBOOL(c_in(X1,hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(X2,tc_bool)),X3),X4),X2))|~hBOOL(c_in(X1,X4,X2))|~hBOOL(c_in(X1,X3,X2)))).
% 0.20/0.55 cnf(i_0_1121, plain, (hBOOL(c_in(X1,hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(X2,tc_bool)),X3),X4),X2))|~hBOOL(c_in(X1,X4,X2))|~hBOOL(c_in(X1,X3,X2)))).
% 0.20/0.55 cnf(i_0_882, 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)))).
% 0.20/0.55 cnf(i_0_737, plain, (hBOOL(hAPP(hAPP(c_lessequals(X1),X2),X3))|hBOOL(hAPP(hAPP(c_lessequals(tc_fun(X1,tc_bool)),c_SetInterval_Oord__class_OatLeastAtMost(X2,X3,X1)),c_SetInterval_Oord__class_OatLeastAtMost(X4,X5,X1)))|~class_Orderings_Oorder(X1))).
% 0.20/0.55 cnf(i_0_713, plain, (c_The(hAPP(c_COMBC(c_fequal(X1),X1,X1,tc_bool),X2),X1)=X2)).
% 0.20/0.55 cnf(i_0_817, plain, (hBOOL(c_in(X3,X2,X1))|hBOOL(hAPP(hAPP(c_lessequals(tc_fun(X1,tc_bool)),X2),hAPP(hAPP(c_Set_Oinsert(X1),X3),X4)))|~hBOOL(hAPP(hAPP(c_lessequals(tc_fun(X1,tc_bool)),X2),X4)))).
% 0.20/0.55 cnf(i_0_819, plain, (hBOOL(c_in(X3,X2,X1))|hBOOL(hAPP(hAPP(c_lessequals(tc_fun(X1,tc_bool)),X2),hAPP(hAPP(c_Set_Oinsert(X1),X3),X4)))|~hBOOL(hAPP(hAPP(c_lessequals(tc_fun(X1,tc_bool)),X2),X4)))).
% 0.20/0.55 cnf(i_0_1249, plain, (hAPP(hAPP(c_COMBC(X1,X2,X3,X4),X5),X6)=hAPP(hAPP(X1,X6),X5))).
% 0.20/0.55 cnf(i_0_1283, plain, (hAPP(hAPP(c_COMBC(X1,X2,X3,X4),X5),X6)=hAPP(hAPP(X1,X6),X5))).
% 0.20/0.55 cnf(i_0_1175, plain, (hBOOL(hAPP(c_Finite__Set_Ofold1Set(X1,hAPP(hAPP(c_Set_Oinsert(X2),X3),c_Orderings_Obot__class_Obot(tc_fun(X2,tc_bool))),X2),X3)))).
% 0.20/0.55 cnf(i_0_968, 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))).
% 0.20/0.55 cnf(i_0_969, 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))).
% 0.20/0.55 cnf(i_0_1055, plain, (c_Finite__Set_Ofinite(hAPP(hAPP(c_HOL_Ominus__class_Ominus(tc_fun(X1,tc_bool)),X2),X3),X1)|~c_Finite__Set_Ofinite(hAPP(hAPP(c_HOL_Ominus__class_Ominus(tc_fun(X1,tc_bool)),X2),hAPP(hAPP(c_Set_Oinsert(X1),X4),X3)),X1))).
% 0.20/0.55 cnf(i_0_1087, plain, (c_Fun_Oinj__on(X1,X2,X3,X4)|~c_Fun_Oinj__on(X1,X5,X3,X4)|~hBOOL(hAPP(hAPP(c_lessequals(tc_fun(X3,tc_bool)),X2),X5)))).
% 0.20/0.55 cnf(i_0_655, plain, (hBOOL(hAPP(X1,X2))|~hBOOL(c_in(X2,hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(X3,tc_bool)),X4),X1),X3)))).
% 0.20/0.55 cnf(i_0_919, plain, (c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(hAPP(hAPP(c_Set_Oinsert(X1),X2),X3),X4,X1,tc_fun(X5,tc_bool))=hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(X5,tc_bool)),hAPP(X4,X2)),c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(X3,X4,X1,tc_fun(X5,tc_bool))))).
% 0.20/0.55 cnf(i_0_1141, plain, (c_Complete__Lattice_Ocomplete__lattice__class_OINFI(hAPP(hAPP(c_Set_Oinsert(X1),X2),X3),X4,X1,tc_fun(X5,tc_bool))=hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(X5,tc_bool)),hAPP(X4,X2)),c_Complete__Lattice_Ocomplete__lattice__class_OINFI(X3,X4,X1,tc_fun(X5,tc_bool))))).
% 0.20/0.55 cnf(i_0_699, plain, (c_Finite__Set_Ofinite(hAPP(X1,X2),X3)|~c_Finite__Set_Ofinite(X4,X5)|~hBOOL(c_in(X2,X4,X5))|~c_Finite__Set_Ofinite(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(X4,X1,X5,tc_fun(X3,tc_bool)),X3))).
% 0.20/0.55 cnf(i_0_774, 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)))).
% 0.20/0.55 cnf(i_0_1104, plain, (hAPP(hAPP(c_HOL_Ominus__class_Ominus(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_HOL_Ominus__class_Ominus(tc_fun(X1,tc_bool)),X3),X4)))).
% 0.20/0.55 cnf(i_0_753, 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)))).
% 0.20/0.55 cnf(i_0_1181, plain, (hAPP(hAPP(c_HOL_Ominus__class_Ominus(tc_fun(X1,tc_bool)),hAPP(hAPP(c_HOL_Ominus__class_Ominus(tc_fun(X1,tc_bool)),X2),X4)),hAPP(hAPP(c_Set_Oinsert(X1),X3),c_Orderings_Obot__class_Obot(tc_fun(X1,tc_bool))))=hAPP(hAPP(c_HOL_Ominus__class_Ominus(tc_fun(X1,tc_bool)),X2),hAPP(hAPP(c_Set_Oinsert(X1),X3),X4)))).
% 0.20/0.55 cnf(i_0_818, plain, (hBOOL(c_in(X4,X2,X1))|hBOOL(hAPP(hAPP(c_lessequals(tc_fun(X1,tc_bool)),X2),X3))|~hBOOL(hAPP(hAPP(c_lessequals(tc_fun(X1,tc_bool)),X2),hAPP(hAPP(c_Set_Oinsert(X1),X4),X3))))).
% 0.20/0.55 cnf(i_0_820, plain, (hBOOL(c_in(X4,X2,X1))|hBOOL(hAPP(hAPP(c_lessequals(tc_fun(X1,tc_bool)),X2),X3))|~hBOOL(hAPP(hAPP(c_lessequals(tc_fun(X1,tc_bool)),X2),hAPP(hAPP(c_Set_Oinsert(X1),X4),X3))))).
% 0.20/0.55 cnf(i_0_715, plain, (hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(X1,tc_bool)),hAPP(X2,X3)),c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(X4,X2,X5,tc_fun(X1,tc_bool)))=c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(X4,X2,X5,tc_fun(X1,tc_bool))|~hBOOL(c_in(X3,X4,X5)))).
% 0.20/0.55 cnf(i_0_1111, plain, (hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(X1,tc_bool)),hAPP(X2,X3)),c_Complete__Lattice_Ocomplete__lattice__class_OINFI(X4,X2,X5,tc_fun(X1,tc_bool)))=c_Complete__Lattice_Ocomplete__lattice__class_OINFI(X4,X2,X5,tc_fun(X1,tc_bool))|~hBOOL(c_in(X3,X4,X5)))).
% 0.20/0.55 cnf(i_0_702, plain, (hBOOL(c_in(X1,X2,X3))|~hBOOL(c_in(X1,hAPP(hAPP(c_HOL_Ominus__class_Ominus(tc_fun(X3,tc_bool)),X2),X4),X3)))).
% 0.20/0.55 cnf(i_0_779, plain, (hBOOL(c_in(X1,X2,X3))|~hBOOL(c_in(X1,hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(X3,tc_bool)),X4),X2),X3)))).
% 0.20/0.55 cnf(i_0_780, plain, (hBOOL(c_in(X1,X2,X3))|~hBOOL(c_in(X1,hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(X3,tc_bool)),X2),X4),X3)))).
% 0.20/0.55 cnf(i_0_960, plain, (hBOOL(c_in(X1,X2,X3))|~hBOOL(c_in(X1,hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(X3,tc_bool)),X2),X4),X3)))).
% 0.20/0.55 cnf(i_0_1086, plain, (hBOOL(hAPP(hAPP(c_lessequals(tc_fun(X1,tc_bool)),X2),X3))|~hBOOL(hAPP(hAPP(c_lessequals(tc_fun(X1,tc_bool)),X4),X3))|~hBOOL(hAPP(hAPP(c_lessequals(tc_fun(X1,tc_bool)),X2),X4)))).
% 0.20/0.55 cnf(i_0_1130, plain, (c_Finite__Set_Ofinite(X1,X2)|~c_Fun_Oinj__on(X3,X1,X2,X4)|~c_Finite__Set_Ofinite(c_Set_Oimage(X3,X1,X2,X4),X4))).
% 0.20/0.55 cnf(i_0_815, plain, (hBOOL(c_in(X1,X2,X3))|~hBOOL(hAPP(hAPP(c_lessequals(tc_fun(X3,tc_bool)),hAPP(hAPP(c_Set_Oinsert(X3),X1),X4)),X2)))).
% 0.20/0.55 cnf(i_0_1168, plain, (X1=c_Orderings_Obot__class_Obot(tc_fun(X2,tc_bool))|X1=hAPP(hAPP(c_Set_Oinsert(X2),X3),c_Orderings_Obot__class_Obot(tc_fun(X2,tc_bool)))|~hBOOL(hAPP(hAPP(c_lessequals(tc_fun(X2,tc_bool)),X1),hAPP(hAPP(c_Set_Oinsert(X2),X3),c_Orderings_Obot__class_Obot(tc_fun(X2,tc_bool))))))).
% 0.20/0.55 cnf(i_0_707, plain, (~hBOOL(c_in(X1,X2,X3))|~hBOOL(c_in(X1,hAPP(hAPP(c_HOL_Ominus__class_Ominus(tc_fun(X3,tc_bool)),X4),X2),X3)))).
% 0.20/0.55 cnf(i_0_864, plain, (X2=X5|c_Set_Oimage(X1,X2,X3,X4)!=c_Set_Oimage(X1,X5,X3,X4)|~c_Fun_Oinj__on(X1,c_Orderings_Otop__class_Otop(tc_fun(X3,tc_bool)),X3,X4))).
% 0.20/0.55 cnf(i_0_725, plain, (hBOOL(hAPP(hAPP(c_lessequals(tc_fun(X1,tc_bool)),c_SetInterval_Oord__class_OatLeastAtMost(X2,X3,X1)),c_SetInterval_Oord__class_OatLeastAtMost(X4,X5,X1)))|~class_Orderings_Oorder(X1)|~hBOOL(hAPP(hAPP(c_lessequals(X1),X4),X2))|~hBOOL(hAPP(hAPP(c_lessequals(X1),X3),X5)))).
% 0.20/0.55 cnf(i_0_746, plain, (hBOOL(c_in(X1,X4,X3))|hBOOL(c_in(X1,X2,X3))|~hBOOL(c_in(X1,hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(X3,tc_bool)),X4),X2),X3)))).
% 0.20/0.55 cnf(i_0_1173, plain, (hBOOL(hAPP(hAPP(hAPP(c_Set_Oinsert(X1),X2),c_Orderings_Obot__class_Obot(tc_fun(X1,tc_bool))),c_Nitpick_Osko__Nitpick__XEx1__def__1__3(hAPP(hAPP(c_Set_Oinsert(X1),X2),c_Orderings_Obot__class_Obot(tc_fun(X1,tc_bool))),X1))))).
% 0.20/0.55 cnf(i_0_971, plain, (hBOOL(c_in(hAPP(X4,X1),c_Set_Oimage(X4,X2,X3,X5),X5))|~hBOOL(c_in(X1,X2,X3)))).
% 0.20/0.55 cnf(i_0_972, plain, (hBOOL(c_in(hAPP(X4,X1),c_Set_Oimage(X4,X2,X3,X5),X5))|~hBOOL(c_in(X1,X2,X3)))).
% 0.20/0.55 cnf(i_0_973, plain, (hBOOL(c_in(hAPP(X1,X2),c_Set_Oimage(X1,X3,X4,X5),X5))|~hBOOL(c_in(X2,X3,X4)))).
% 0.20/0.55 cnf(i_0_974, plain, (hBOOL(c_in(hAPP(X1,X2),c_Set_Oimage(X1,X3,X4,X5),X5))|~hBOOL(c_in(X2,X3,X4)))).
% 0.20/0.55 cnf(i_0_951, plain, (hBOOL(hAPP(hAPP(c_lessequals(tc_fun(X1,tc_bool)),hAPP(hAPP(c_Set_Oinsert(X1),X2),X3)),X4))|~hBOOL(c_in(X2,X4,X1))|~hBOOL(hAPP(hAPP(c_lessequals(tc_fun(X1,tc_bool)),X3),X4)))).
% 0.20/0.55 cnf(i_0_682, plain, (X4=c_Orderings_Obot__class_Obot(tc_fun(X1,tc_bool))|hBOOL(hAPP(hAPP(c_lessequals(X1),X2),X3))|~class_Lattices_Olower__semilattice(X1)|~c_Finite__Set_Ofinite(X4,X1)|~hBOOL(c_in(X3,X4,X1))|~hBOOL(hAPP(hAPP(c_lessequals(X1),X2),c_The(c_Finite__Set_Ofold1Set(c_Lattices_Olower__semilattice__class_Oinf(X1),X4,X1),X1))))).
% 0.20/0.55 cnf(i_0_1123, plain, (hAPP(hAPP(c_HOL_Ominus__class_Ominus(tc_fun(X1,tc_bool)),X2),hAPP(hAPP(c_HOL_Ominus__class_Ominus(tc_fun(X1,tc_bool)),X3),X4))=X4|~hBOOL(hAPP(hAPP(c_lessequals(tc_fun(X1,tc_bool)),X4),X2))|~hBOOL(hAPP(hAPP(c_lessequals(tc_fun(X1,tc_bool)),X2),X3)))).
% 0.20/0.55 cnf(i_0_957, 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))))).
% 0.20/0.55 cnf(i_0_958, 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))))).
% 0.20/0.55 cnf(i_0_767, plain, (hBOOL(c_in(hAPP(X1,X2),c_Set_Oimage(X1,c_Orderings_Otop__class_Otop(tc_fun(X3,tc_bool)),X3,X4),X4)))).
% 0.20/0.55 cnf(i_0_1028, plain, (hBOOL(hAPP(hAPP(c_lessequals(tc_fun(X1,tc_bool)),hAPP(hAPP(c_Set_Oinsert(X1),X2),X3)),hAPP(hAPP(c_Set_Oinsert(X1),X2),X4)))|~hBOOL(hAPP(hAPP(c_lessequals(tc_fun(X1,tc_bool)),X3),X4)))).
% 0.20/0.55 cnf(i_0_920, plain, (hBOOL(hAPP(hAPP(c_lessequals(X1),c_The(c_Finite__Set_Ofold1Set(c_Lattices_Olower__semilattice__class_Oinf(X1),X2,X1),X1)),X3))|~class_Lattices_Olower__semilattice(X1)|~c_Finite__Set_Ofinite(X2,X1)|~hBOOL(c_in(X3,X2,X1)))).
% 0.20/0.55 cnf(i_0_675, plain, (hBOOL(hAPP(hAPP(c_lessequals(X1),hAPP(X2,X3)),c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(X4,X2,X5,X1)))|~class_Complete__Lattice_Ocomplete__lattice(X1)|~hBOOL(c_in(X3,X4,X5)))).
% 0.20/0.55 cnf(i_0_1042, plain, (hBOOL(hAPP(hAPP(c_lessequals(tc_fun(X1,tc_bool)),X2),X3))|~hBOOL(hAPP(hAPP(c_lessequals(tc_fun(X1,tc_bool)),hAPP(hAPP(c_Set_Oinsert(X1),X4),X2)),X3)))).
% 0.20/0.55 cnf(i_0_853, plain, (hBOOL(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(X1,X2,X3,tc_fun(X4,tc_bool)),X5))|~hBOOL(c_in(X6,X1,X3))|~hBOOL(hAPP(hAPP(X2,X6),X5)))).
% 0.20/0.55 cnf(i_0_854, plain, (hBOOL(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(X1,X2,X3,tc_fun(X4,tc_bool)),X5))|~hBOOL(c_in(X6,X1,X3))|~hBOOL(hAPP(hAPP(X2,X6),X5)))).
% 0.20/0.55 cnf(i_0_948, 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)))).
% 0.20/0.55 cnf(i_0_1101, plain, (hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(X1,tc_bool)),hAPP(hAPP(c_HOL_Ominus__class_Ominus(tc_fun(X1,tc_bool)),X2),X3)),hAPP(hAPP(c_HOL_Ominus__class_Ominus(tc_fun(X1,tc_bool)),X2),X4))=hAPP(hAPP(c_HOL_Ominus__class_Ominus(tc_fun(X1,tc_bool)),X2),hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(X1,tc_bool)),X3),X4)))).
% 0.20/0.55 cnf(i_0_1115, plain, (hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(X1,tc_bool)),hAPP(hAPP(c_HOL_Ominus__class_Ominus(tc_fun(X1,tc_bool)),X2),X3)),hAPP(hAPP(c_HOL_Ominus__class_Ominus(tc_fun(X1,tc_bool)),X2),X4))=hAPP(hAPP(c_HOL_Ominus__class_Ominus(tc_fun(X1,tc_bool)),X2),hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(X1,tc_bool)),X3),X4)))).
% 0.20/0.55 cnf(i_0_658, 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)))).
% 0.20/0.55 cnf(i_0_872, plain, (hAPP(hAPP(c_HOL_Ominus__class_Ominus(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_HOL_Ominus__class_Ominus(tc_fun(X1,tc_bool)),X3),X4)))).
% 0.20/0.55 cnf(i_0_862, plain, (hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(X1,tc_bool)),c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(c_Orderings_Obot__class_Obot(tc_fun(X2,tc_bool)),X3,X2,tc_fun(X1,tc_bool))),X4)=X4)).
% 0.20/0.55 cnf(i_0_716, plain, (hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(X1,tc_bool)),c_Complete__Lattice_Ocomplete__lattice__class_OINFI(c_Orderings_Obot__class_Obot(tc_fun(X2,tc_bool)),X3,X2,tc_fun(X1,tc_bool))),X4)=X4)).
% 0.20/0.55 cnf(i_0_808, plain, (hBOOL(hAPP(hAPP(c_lessequals(tc_fun(X1,tc_bool)),hAPP(hAPP(c_HOL_Ominus__class_Ominus(tc_fun(X1,tc_bool)),X2),X3)),X2)))).
% 0.20/0.55 cnf(i_0_937, plain, (hBOOL(hAPP(hAPP(c_lessequals(tc_fun(X1,tc_bool)),hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(X1,tc_bool)),X2),X3)),X3)))).
% 0.20/0.55 cnf(i_0_936, plain, (hBOOL(hAPP(hAPP(c_lessequals(tc_fun(X1,tc_bool)),hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(X1,tc_bool)),X2),X3)),X2)))).
% 0.20/0.55 cnf(i_0_703, plain, (hAPP(hAPP(c_Finite__Set_Osetsum(X2,X1),X3),hAPP(hAPP(c_HOL_Ominus__class_Ominus(tc_fun(X2,tc_bool)),X4),hAPP(hAPP(c_Set_Oinsert(X2),X5),c_Orderings_Obot__class_Obot(tc_fun(X2,tc_bool)))))=hAPP(hAPP(c_HOL_Ominus__class_Ominus(X1),hAPP(hAPP(c_Finite__Set_Osetsum(X2,X1),X3),X4)),hAPP(X3,X5))|~class_OrderedGroup_Oab__group__add(X1)|~c_Finite__Set_Ofinite(X4,X2)|~hBOOL(c_in(X5,X4,X2)))).
% 0.20/0.55 cnf(i_0_704, plain, (hAPP(hAPP(c_Finite__Set_Osetsum(X2,X1),X3),hAPP(hAPP(c_HOL_Ominus__class_Ominus(tc_fun(X2,tc_bool)),X4),hAPP(hAPP(c_Set_Oinsert(X2),X5),c_Orderings_Obot__class_Obot(tc_fun(X2,tc_bool)))))=hAPP(hAPP(c_HOL_Ominus__class_Ominus(X1),hAPP(hAPP(c_Finite__Set_Osetsum(X2,X1),X3),X4)),hAPP(X3,X5))|~class_Ring__and__Field_Oring(X1)|~c_Finite__Set_Ofinite(X4,X2)|~hBOOL(c_in(X5,X4,X2)))).
% 0.20/0.55 cnf(i_0_847, plain, (hAPP(hAPP(c_HOL_Ominus__class_Ominus(X1),hAPP(hAPP(c_Finite__Set_Osetsum(X2,X1),X3),X4)),hAPP(hAPP(c_Finite__Set_Osetsum(X2,X1),X3),X5))=hAPP(hAPP(c_Finite__Set_Osetsum(X2,X1),X3),hAPP(hAPP(c_HOL_Ominus__class_Ominus(tc_fun(X2,tc_bool)),X4),X5))|~class_OrderedGroup_Oab__group__add(X1)|~c_Finite__Set_Ofinite(X4,X2)|~hBOOL(hAPP(hAPP(c_lessequals(tc_fun(X2,tc_bool)),X5),X4)))).
% 0.20/0.55 cnf(i_0_982, plain, (c_Set_Oimage(X1,c_Set_Oimage(X2,X3,X4,X5),X5,X6)=c_Set_Oimage(hAPP(hAPP(c_COMBB(X5,X6,X4),X1),X2),X3,X4,X6))).
% 0.20/0.55 cnf(i_0_1223, plain, (c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(X1,hAPP(c_COMBC(c_Set_Oinsert(X2),X2,tc_fun(X2,tc_bool),tc_fun(X2,tc_bool)),c_Orderings_Obot__class_Obot(tc_fun(X2,tc_bool))),X2,tc_fun(X2,tc_bool))=X1)).
% 0.20/0.55 cnf(i_0_729, 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)),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))|~hBOOL(hAPP(hAPP(c_lessequals(tc_fun(X1,tc_bool)),X4),X2)))).
% 0.20/0.55 cnf(i_0_705, plain, (X2=X5|c_Set_Oimage(X1,X2,X3,X4)!=c_Set_Oimage(X1,X5,X3,X4)|~c_Fun_Oinj__on(X1,hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(X3,tc_bool)),X2),X5),X3,X4))).
% 0.20/0.55 cnf(i_0_823, plain, (hBOOL(c_in(X1,c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(X2,X3,X4,tc_fun(X5,tc_bool)),X5))|~hBOOL(c_in(X6,X2,X4))|~hBOOL(c_in(X1,hAPP(X3,X6),X5)))).
% 0.20/0.55 cnf(i_0_824, plain, (hBOOL(c_in(X1,c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(X2,X3,X4,tc_fun(X5,tc_bool)),X5))|~hBOOL(c_in(X6,X2,X4))|~hBOOL(c_in(X1,hAPP(X3,X6),X5)))).
% 0.20/0.55 cnf(i_0_828, plain, (hBOOL(hAPP(hAPP(c_lessequals(tc_fun(X1,tc_bool)),X2),X3))|~hBOOL(hAPP(hAPP(c_lessequals(tc_fun(X1,tc_bool)),X2),hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(X1,tc_bool)),X4),X3))))).
% 0.20/0.55 cnf(i_0_829, plain, (hBOOL(hAPP(hAPP(c_lessequals(tc_fun(X1,tc_bool)),X2),X3))|~hBOOL(hAPP(hAPP(c_lessequals(tc_fun(X1,tc_bool)),X2),hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(X1,tc_bool)),X3),X4))))).
% 0.20/0.55 cnf(i_0_1159, plain, (c_Fun_Oinj__on(hAPP(c_COMBC(c_Set_Oinsert(X1),X1,tc_fun(X1,tc_bool),tc_fun(X1,tc_bool)),c_Orderings_Obot__class_Obot(tc_fun(X1,tc_bool))),c_Orderings_Otop__class_Otop(tc_fun(X1,tc_bool)),X1,tc_fun(X1,tc_bool)))).
% 0.20/0.55 cnf(i_0_676, plain, (hBOOL(hAPP(hAPP(c_lessequals(tc_fun(X1,tc_bool)),hAPP(X2,X3)),c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(X4,X2,X5,tc_fun(X1,tc_bool))))|~hBOOL(c_in(X3,X4,X5)))).
% 0.20/0.55 cnf(i_0_772, 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))).
% 0.20/0.55 cnf(i_0_744, plain, (c_Set_Oimage(hAPP(hAPP(c_COMBB(X1,X2,X3),X4),X5),c_Orderings_Otop__class_Otop(tc_fun(X3,tc_bool)),X3,X2)=c_Set_Oimage(X4,c_Set_Oimage(X5,c_Orderings_Otop__class_Otop(tc_fun(X3,tc_bool)),X3,X1),X1,X2))).
% 0.20/0.55 cnf(i_0_942, plain, (X3=c_Orderings_Obot__class_Obot(tc_fun(X1,tc_bool))|X2=c_Orderings_Obot__class_Obot(tc_fun(X1,tc_bool))|hAPP(hAPP(c_HOL_Otimes__class_Otimes(X1),c_The(c_Finite__Set_Ofold1Set(c_HOL_Otimes__class_Otimes(X1),X2,X1),X1)),c_The(c_Finite__Set_Ofold1Set(c_HOL_Otimes__class_Otimes(X1),X3,X1),X1))=c_The(c_Finite__Set_Ofold1Set(c_HOL_Otimes__class_Otimes(X1),hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(X1,tc_bool)),X2),X3),X1),X1)|~class_OrderedGroup_Oab__semigroup__idem__mult(X1)|~c_Finite__Set_Ofinite(X3,X1)|~c_Finite__Set_Ofinite(X2,X1))).
% 0.20/0.55 cnf(i_0_1053, plain, (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)=hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(X1,tc_bool)),X2),X3))).
% 0.20/0.55 cnf(i_0_1163, plain, (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)=hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(X1,tc_bool)),X2),X3))).
% 0.20/0.55 cnf(i_0_739, plain, (hAPP(hAPP(c_HOL_Ominus__class_Ominus(tc_fun(X1,tc_bool)),c_Complete__Lattice_Ocomplete__lattice__class_OINFI(c_Orderings_Obot__class_Obot(tc_fun(X2,tc_bool)),X3,X2,tc_fun(X1,tc_bool))),X4)=hAPP(hAPP(c_HOL_Ominus__class_Ominus(tc_fun(X1,tc_bool)),c_Orderings_Otop__class_Otop(tc_fun(X1,tc_bool))),X4))).
% 0.20/0.55 cnf(i_0_1182, plain, (X1=X2|~hBOOL(hAPP(c_Finite__Set_Ofold1Set(X3,hAPP(hAPP(c_Set_Oinsert(X4),X1),c_Orderings_Obot__class_Obot(tc_fun(X4,tc_bool))),X4),X2)))).
% 0.20/0.55 cnf(i_0_949, 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))).
% 0.20/0.55 cnf(i_0_836, plain, (hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(X1,tc_bool)),hAPP(hAPP(c_HOL_Ominus__class_Ominus(tc_fun(X1,tc_bool)),X2),X4)),hAPP(hAPP(c_HOL_Ominus__class_Ominus(tc_fun(X1,tc_bool)),X3),X4))=hAPP(hAPP(c_HOL_Ominus__class_Ominus(tc_fun(X1,tc_bool)),hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(X1,tc_bool)),X2),X3)),X4))).
% 0.20/0.55 cnf(i_0_659, 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))).
% 0.20/0.55 cnf(i_0_873, plain, (hAPP(hAPP(c_HOL_Ominus__class_Ominus(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_HOL_Ominus__class_Ominus(tc_fun(X1,tc_bool)),X2),X3)),X4))).
% 0.20/0.55 cnf(i_0_881, plain, (hAPP(hAPP(c_HOL_Ominus__class_Ominus(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)),X4),X3))=hAPP(hAPP(c_HOL_Ominus__class_Ominus(tc_fun(X1,tc_bool)),hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(X1,tc_bool)),X2),X3)),X4))).
% 0.20/0.55 cnf(i_0_1099, plain, (c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(c_Set_Oimage(X1,X2,X3,X4),X5,X4,tc_fun(X6,tc_bool))=c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(X2,hAPP(hAPP(c_COMBB(X4,tc_fun(X6,tc_bool),X3),X5),X1),X3,tc_fun(X6,tc_bool)))).
% 0.20/0.55 cnf(i_0_732, plain, (c_Complete__Lattice_Ocomplete__lattice__class_OINFI(c_Set_Oimage(X1,X2,X3,X4),X5,X4,tc_fun(X6,tc_bool))=c_Complete__Lattice_Ocomplete__lattice__class_OINFI(X2,hAPP(hAPP(c_COMBB(X4,tc_fun(X6,tc_bool),X3),X5),X1),X3,tc_fun(X6,tc_bool)))).
% 0.20/0.55 cnf(i_0_855, plain, (c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(X1,hAPP(hAPP(c_COMBB(X2,tc_fun(X3,tc_bool),X4),X5),X6),X4,tc_fun(X3,tc_bool))=c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(c_Set_Oimage(X6,X1,X4,X2),X5,X2,tc_fun(X3,tc_bool)))).
% 0.20/0.55 cnf(i_0_891, plain, (c_Complete__Lattice_Ocomplete__lattice__class_OINFI(X1,hAPP(hAPP(c_COMBB(X2,tc_fun(X3,tc_bool),X4),X5),X6),X4,tc_fun(X3,tc_bool))=c_Complete__Lattice_Ocomplete__lattice__class_OINFI(c_Set_Oimage(X6,X1,X4,X2),X5,X2,tc_fun(X3,tc_bool)))).
% 0.20/0.55 cnf(i_0_1227, plain, (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)))).
% 0.20/0.55 cnf(i_0_726, plain, (hBOOL(hAPP(hAPP(c_lessequals(X1),X2),X3))|~class_Orderings_Oorder(X1)|~hBOOL(hAPP(hAPP(c_lessequals(X1),X4),X2))|~hBOOL(hAPP(hAPP(c_lessequals(tc_fun(X1,tc_bool)),c_SetInterval_Oord__class_OatLeastAtMost(X4,X2,X1)),c_SetInterval_Oord__class_OatLeastAtMost(X5,X3,X1))))).
% 0.20/0.55 cnf(i_0_727, plain, (hBOOL(hAPP(hAPP(c_lessequals(X1),X2),X3))|~class_Orderings_Oorder(X1)|~hBOOL(hAPP(hAPP(c_lessequals(X1),X3),X4))|~hBOOL(hAPP(hAPP(c_lessequals(tc_fun(X1,tc_bool)),c_SetInterval_Oord__class_OatLeastAtMost(X3,X4,X1)),c_SetInterval_Oord__class_OatLeastAtMost(X2,X5,X1))))).
% 0.20/0.55 cnf(i_0_938, plain, (hBOOL(hAPP(hAPP(c_lessequals(tc_fun(X1,tc_bool)),X2),hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(X1,tc_bool)),X3),X4)))|~hBOOL(hAPP(hAPP(c_lessequals(tc_fun(X1,tc_bool)),X2),X4))|~hBOOL(hAPP(hAPP(c_lessequals(tc_fun(X1,tc_bool)),X2),X3)))).
% 0.20/0.55 cnf(i_0_939, plain, (hBOOL(hAPP(hAPP(c_lessequals(tc_fun(X1,tc_bool)),X2),hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(X1,tc_bool)),X3),X4)))|~hBOOL(hAPP(hAPP(c_lessequals(tc_fun(X1,tc_bool)),X2),X4))|~hBOOL(hAPP(hAPP(c_lessequals(tc_fun(X1,tc_bool)),X2),X3)))).
% 0.20/0.55 cnf(i_0_1180, plain, (hAPP(hAPP(c_HOL_Ominus__class_Ominus(tc_fun(X1,tc_bool)),hAPP(hAPP(c_HOL_Ominus__class_Ominus(tc_fun(X1,tc_bool)),X2),hAPP(hAPP(c_Set_Oinsert(X1),X3),c_Orderings_Obot__class_Obot(tc_fun(X1,tc_bool))))),X4)=hAPP(hAPP(c_HOL_Ominus__class_Ominus(tc_fun(X1,tc_bool)),X2),hAPP(hAPP(c_Set_Oinsert(X1),X3),X4)))).
% 0.20/0.55 cnf(i_0_736, plain, (hBOOL(c_in(hAPP(X1,X2),c_Set_Oimage(X1,X3,X4,X5),X5))|~hBOOL(c_in(X2,X3,X4))|~c_Fun_Oinj__on(X1,c_Orderings_Otop__class_Otop(tc_fun(X4,tc_bool)),X4,X5))).
% 0.20/0.55 cnf(i_0_1230, plain, (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)))).
% 0.20/0.55 cnf(i_0_856, plain, (X3=c_Orderings_Obot__class_Obot(tc_fun(X1,tc_bool))|X2=c_Orderings_Obot__class_Obot(tc_fun(X1,tc_bool))|hAPP(hAPP(c_HOL_Otimes__class_Otimes(X1),c_The(c_Finite__Set_Ofold1Set(c_HOL_Otimes__class_Otimes(X1),X2,X1),X1)),c_The(c_Finite__Set_Ofold1Set(c_HOL_Otimes__class_Otimes(X1),X3,X1),X1))=c_The(c_Finite__Set_Ofold1Set(c_HOL_Otimes__class_Otimes(X1),hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(X1,tc_bool)),X2),X3),X1),X1)|hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(X1,tc_bool)),X2),X3)!=c_Orderings_Obot__class_Obot(tc_fun(X1,tc_bool))|~class_OrderedGroup_Oab__semigroup__mult(X1)|~c_Finite__Set_Ofinite(X3,X1)|~c_Finite__Set_Ofinite(X2,X1))).
% 0.20/0.55 cnf(i_0_1097, plain, (hBOOL(hAPP(hAPP(X4,X1),X5))|~hBOOL(c_in(X1,X2,X3))|~hBOOL(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(X2,X4,X3,tc_fun(X6,tc_bool)),X5)))).
% 0.20/0.55 cnf(i_0_1096, plain, (hBOOL(hAPP(hAPP(X1,X2),X3))|~hBOOL(c_in(X2,X4,X5))|~hBOOL(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(X4,X1,X5,tc_fun(X6,tc_bool)),X3)))).
% 0.20/0.55 cnf(i_0_1098, plain, (hBOOL(hAPP(hAPP(X1,X2),X3))|~hBOOL(c_in(X2,X4,X5))|~hBOOL(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(X4,X1,X5,tc_fun(X6,tc_bool)),X3)))).
% 0.20/0.55 cnf(i_0_667, plain, (c_Finite__Set_Ofinite(X1,X2)|~c_Finite__Set_Ofinite(X4,X5)|~hBOOL(hAPP(hAPP(c_lessequals(tc_fun(X2,tc_bool)),X1),c_Set_Oimage(X3,X4,X5,X2))))).
% 0.20/0.55 cnf(i_0_728, plain, (hBOOL(hAPP(hAPP(c_lessequals(tc_fun(X1,tc_bool)),X4),X2))|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)!=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)))).
% 0.20/0.55 cnf(i_0_1140, plain, (hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(X5,tc_bool)),c_Set_Oimage(X1,X3,X2,X5)),c_Set_Oimage(X1,X4,X2,X5))=c_Set_Oimage(X1,hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(X2,tc_bool)),X3),X4),X2,X5))).
% 0.20/0.55 cnf(i_0_711, plain, (hBOOL(c_in(X4,hAPP(X5,X1),X6))|~hBOOL(c_in(X1,X2,X3))|~hBOOL(c_in(X4,c_Complete__Lattice_Ocomplete__lattice__class_OINFI(X2,X5,X3,tc_fun(X6,tc_bool)),X6)))).
% 0.20/0.55 cnf(i_0_710, plain, (hBOOL(c_in(X1,hAPP(X2,X3),X4))|~hBOOL(c_in(X3,X5,X6))|~hBOOL(c_in(X1,c_Complete__Lattice_Ocomplete__lattice__class_OINFI(X5,X2,X6,tc_fun(X4,tc_bool)),X4)))).
% 0.20/0.55 cnf(i_0_712, plain, (hBOOL(c_in(X1,hAPP(X2,X3),X4))|~hBOOL(c_in(X3,X5,X6))|~hBOOL(c_in(X1,c_Complete__Lattice_Ocomplete__lattice__class_OINFI(X5,X2,X6,tc_fun(X4,tc_bool)),X4)))).
% 0.20/0.55 cnf(i_0_837, plain, (hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(X1,tc_bool)),hAPP(c_COMBC(c_fequal(X1),X1,X1,tc_bool),X2)),X3)=hAPP(hAPP(c_Set_Oinsert(X1),X2),X3))).
% 0.20/0.55 cnf(i_0_967, plain, (c_Fun_Oinj__on(X1,X2,X3,X3)|~c_Finite__Set_Ofinite(X2,X3)|~hBOOL(hAPP(hAPP(c_lessequals(tc_fun(X3,tc_bool)),X2),c_Set_Oimage(X1,X2,X3,X3))))).
% 0.20/0.55 cnf(i_0_860, plain, (hBOOL(hAPP(hAPP(c_lessequals(X1),c_Complete__Lattice_Ocomplete__lattice__class_OINFI(X2,X3,X4,X1)),hAPP(X3,X5)))|~class_Complete__Lattice_Ocomplete__lattice(X1)|~hBOOL(c_in(X5,X2,X4)))).
% 0.20/0.55 cnf(i_0_1117, plain, (hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(X5,tc_bool)),c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(X2,X4,X1,tc_fun(X5,tc_bool))),c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(X3,X4,X1,tc_fun(X5,tc_bool)))=c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(X1,tc_bool)),X2),X3),X4,X1,tc_fun(X5,tc_bool)))).
% 0.20/0.55 cnf(i_0_1106, plain, (hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(X5,tc_bool)),c_Complete__Lattice_Ocomplete__lattice__class_OINFI(X2,X4,X1,tc_fun(X5,tc_bool))),c_Complete__Lattice_Ocomplete__lattice__class_OINFI(X3,X4,X1,tc_fun(X5,tc_bool)))=c_Complete__Lattice_Ocomplete__lattice__class_OINFI(hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(X1,tc_bool)),X2),X3),X4,X1,tc_fun(X5,tc_bool)))).
% 0.20/0.55 cnf(i_0_1228, plain, (c_Hoare__Mirabelle_Ohoare__derivs(X1,hAPP(hAPP(c_Set_Oinsert(tc_Hoare__Mirabelle_Otriple(X2)),c_Hoare__Mirabelle_Otriple_Otriple(X3,c_Com_Ocom_OSKIP,X3,X2)),c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(X2),tc_bool))),X2))).
% 0.20/0.55 cnf(i_0_790, plain, (hBOOL(hAPP(hAPP(c_lessequals(tc_fun(X1,tc_bool)),hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(X1,tc_bool)),X2),X3)),X4))|~hBOOL(hAPP(hAPP(c_lessequals(tc_fun(X1,tc_bool)),X3),X4))|~hBOOL(hAPP(hAPP(c_lessequals(tc_fun(X1,tc_bool)),X2),X4)))).
% 0.20/0.55 cnf(i_0_793, plain, (hBOOL(hAPP(hAPP(c_lessequals(tc_fun(X1,tc_bool)),hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(X1,tc_bool)),X2),X3)),X4))|~hBOOL(hAPP(hAPP(c_lessequals(tc_fun(X1,tc_bool)),X3),X4))|~hBOOL(hAPP(hAPP(c_lessequals(tc_fun(X1,tc_bool)),X2),X4)))).
% 0.20/0.55 cnf(i_0_735, plain, (hBOOL(c_in(X1,X2,X3))|~c_Fun_Oinj__on(X4,c_Orderings_Otop__class_Otop(tc_fun(X3,tc_bool)),X3,X5)|~hBOOL(c_in(hAPP(X4,X1),c_Set_Oimage(X4,X2,X3,X5),X5)))).
% 0.20/0.55 cnf(i_0_950, plain, (hAPP(c_Fun_Ocomp(X1,X2,X3,X4,t_a),v_x)=hAPP(X1,hAPP(X2,v_x)))).
% 0.20/0.55 cnf(i_0_734, plain, (hAPP(c_Fun_Ocomp(X1,X2,X4,X5,X6),X3)=hAPP(X1,hAPP(X2,X3)))).
% 0.20/0.55 cnf(i_0_733, plain, (hAPP(c_Fun_Ocomp(X1,X2,X3,X4,X5),X6)=hAPP(X1,hAPP(X2,X6)))).
% 0.20/0.55 cnf(i_0_1072, plain, (hBOOL(hAPP(hAPP(c_lessequals(tc_fun(X1,tc_bool)),X2),X3))|~hBOOL(hAPP(hAPP(c_lessequals(tc_fun(X1,tc_bool)),hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(X1,tc_bool)),X4),X2)),X3)))).
% 0.20/0.55 cnf(i_0_1071, plain, (hBOOL(hAPP(hAPP(c_lessequals(tc_fun(X1,tc_bool)),X2),X3))|~hBOOL(hAPP(hAPP(c_lessequals(tc_fun(X1,tc_bool)),hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(X1,tc_bool)),X2),X4)),X3)))).
% 0.20/0.55 cnf(i_0_677, plain, (c_Finite__Set_Ofinite(c_Set_Oimage(hAPP(hAPP(c_COMBB(X1,X2,X3),X4),X5),c_Orderings_Otop__class_Otop(tc_fun(X3,tc_bool)),X3,X2),X2)|~c_Finite__Set_Ofinite(c_Set_Oimage(X5,c_Orderings_Otop__class_Otop(tc_fun(X3,tc_bool)),X3,X1),X1))).
% 0.20/0.55 cnf(i_0_814, plain, (hAPP(hAPP(c_HOL_Ominus__class_Ominus(tc_fun(X5,tc_bool)),c_Set_Oimage(X1,X3,X2,X5)),c_Set_Oimage(X1,X4,X2,X5))=c_Set_Oimage(X1,hAPP(hAPP(c_HOL_Ominus__class_Ominus(tc_fun(X2,tc_bool)),X3),X4),X2,X5)|~c_Fun_Oinj__on(X1,c_Orderings_Otop__class_Otop(tc_fun(X2,tc_bool)),X2,X5))).
% 0.20/0.55 cnf(i_0_718, plain, (hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(X5,tc_bool)),c_Set_Oimage(X1,X3,X2,X5)),c_Set_Oimage(X1,X4,X2,X5))=c_Set_Oimage(X1,hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(X2,tc_bool)),X3),X4),X2,X5)|~c_Fun_Oinj__on(X1,c_Orderings_Otop__class_Otop(tc_fun(X2,tc_bool)),X2,X5))).
% 0.20/0.55 cnf(i_0_709, plain, (hAPP(c_Fun_Ocomp(c_COMBK(X1,X2,X3),X4,X3,X2,t_a),v_x)=X1)).
% 0.20/0.55 cnf(i_0_706, plain, (hBOOL(hAPP(hAPP(c_lessequals(tc_fun(X1,tc_bool)),X2),hAPP(X3,X4)))|~hBOOL(c_in(X4,X5,X6))|~hBOOL(hAPP(hAPP(c_lessequals(tc_fun(X1,tc_bool)),X2),c_Complete__Lattice_Ocomplete__lattice__class_OINFI(X5,X3,X6,tc_fun(X1,tc_bool)))))).
% 0.20/0.55 cnf(i_0_861, plain, (hBOOL(hAPP(hAPP(c_lessequals(tc_fun(X1,tc_bool)),c_Complete__Lattice_Ocomplete__lattice__class_OINFI(X2,X3,X4,tc_fun(X1,tc_bool))),hAPP(X3,X5)))|~hBOOL(c_in(X5,X2,X4)))).
% 0.20/0.55 cnf(i_0_880, 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))).
% 0.20/0.55 cnf(i_0_975, plain, (hBOOL(hAPP(hAPP(c_lessequals(tc_fun(X1,tc_bool)),hAPP(hAPP(c_HOL_Ominus__class_Ominus(tc_fun(X1,tc_bool)),X2),X3)),X4))|~hBOOL(hAPP(hAPP(c_lessequals(tc_fun(X1,tc_bool)),X2),hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(X1,tc_bool)),X3),X4))))).
% 0.20/0.55 cnf(i_0_928, plain, (hBOOL(hAPP(hAPP(c_lessequals(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)),X4),X5)))|~hBOOL(hAPP(hAPP(c_lessequals(tc_fun(X1,tc_bool)),X3),X5))|~hBOOL(hAPP(hAPP(c_lessequals(tc_fun(X1,tc_bool)),X2),X4)))).
% 0.20/0.55 cnf(i_0_874, plain, (hBOOL(hAPP(hAPP(c_lessequals(tc_fun(X1,tc_bool)),hAPP(hAPP(c_HOL_Ominus__class_Ominus(tc_fun(X1,tc_bool)),X2),X3)),hAPP(hAPP(c_HOL_Ominus__class_Ominus(tc_fun(X1,tc_bool)),X4),X5)))|~hBOOL(hAPP(hAPP(c_lessequals(tc_fun(X1,tc_bool)),X5),X3))|~hBOOL(hAPP(hAPP(c_lessequals(tc_fun(X1,tc_bool)),X2),X4)))).
% 0.20/0.55 cnf(i_0_1100, plain, (hBOOL(hAPP(hAPP(c_lessequals(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)),X4),X5)))|~hBOOL(hAPP(hAPP(c_lessequals(tc_fun(X1,tc_bool)),X3),X5))|~hBOOL(hAPP(hAPP(c_lessequals(tc_fun(X1,tc_bool)),X2),X4)))).
% 0.20/0.55 cnf(i_0_1161, plain, (c_Finite__Set_Ofinite(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(X3,X1))).
% 0.20/0.55 cnf(i_0_1162, plain, (c_Finite__Set_Ofinite(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(X2,X1))).
% 0.20/0.55 cnf(i_0_976, plain, (hBOOL(hAPP(hAPP(c_lessequals(tc_fun(X1,tc_bool)),X2),hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(X1,tc_bool)),X3),X4)))|~hBOOL(hAPP(hAPP(c_lessequals(tc_fun(X1,tc_bool)),hAPP(hAPP(c_HOL_Ominus__class_Ominus(tc_fun(X1,tc_bool)),X2),X3)),X4)))).
% 0.20/0.55 cnf(i_0_1050, plain, (c_Finite__Set_Ofinite(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(X3,X1)|~c_Finite__Set_Ofinite(X2,X1))).
% 0.20/0.55 cnf(i_0_1224, plain, (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)=c_List_Ofilter(X1,c_List_Ofilter(X2,X3,X4),X4))).
% 0.20/0.55 cnf(i_0_1160, plain, (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)=hAPP(hAPP(c_and,c_List_Olistsp(X1,v_x,t_a)),c_List_Olistsp(X2,v_x,t_a)))).
% 0.20/0.55 cnf(i_0_1058, plain, (c_Set_Oimage(c_Fun_Ocomp(X1,X2,X3,X4,X5),X6,X5,X4)=c_Set_Oimage(X1,c_Set_Oimage(X2,X6,X5,X3),X3,X4))).
% 0.20/0.55 cnf(i_0_1105, plain, (hAPP(hAPP(c_HOL_Ominus__class_Ominus(tc_fun(X5,tc_bool)),c_Set_Oimage(X1,X3,X2,X5)),c_Set_Oimage(X1,X4,X2,X5))=c_Set_Oimage(X1,hAPP(hAPP(c_HOL_Ominus__class_Ominus(tc_fun(X2,tc_bool)),X3),X4),X2,X5)|~c_Fun_Oinj__on(X1,X6,X2,X5)|~hBOOL(hAPP(hAPP(c_lessequals(tc_fun(X2,tc_bool)),X4),X6))|~hBOOL(hAPP(hAPP(c_lessequals(tc_fun(X2,tc_bool)),X3),X6)))).
% 0.20/0.55 cnf(i_0_668, plain, (hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(X5,tc_bool)),c_Set_Oimage(X1,X3,X2,X5)),c_Set_Oimage(X1,X4,X2,X5))=c_Set_Oimage(X1,hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(X2,tc_bool)),X3),X4),X2,X5)|~c_Fun_Oinj__on(X1,X6,X2,X5)|~hBOOL(hAPP(hAPP(c_lessequals(tc_fun(X2,tc_bool)),X4),X6))|~hBOOL(hAPP(hAPP(c_lessequals(tc_fun(X2,tc_bool)),X3),X6)))).
% 0.20/0.55 cnf(i_0_807, 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))).
% 0.20/0.55 cnf(i_0_1129, plain, (hBOOL(hAPP(hAPP(c_lessequals(tc_fun(X4,tc_bool)),c_Set_Oimage(X5,X2,X1,X4)),c_Set_Oimage(X5,X3,X1,X4)))|~hBOOL(hAPP(hAPP(c_lessequals(tc_fun(X1,tc_bool)),X2),X3)))).
% 0.20/0.55 cnf(i_0_1128, plain, (hBOOL(hAPP(hAPP(c_lessequals(tc_fun(X1,tc_bool)),c_Set_Oimage(X2,X3,X4,X1)),c_Set_Oimage(X2,X5,X4,X1)))|~hBOOL(hAPP(hAPP(c_lessequals(tc_fun(X4,tc_bool)),X3),X5)))).
% 0.20/0.55 cnf(i_0_1113, plain, (hAPP(X1,hAPP(X2,X9))=hAPP(X6,hAPP(X7,X9))|c_Fun_Ocomp(X1,X2,X3,X4,X5)!=c_Fun_Ocomp(X6,X7,X8,X4,X5))).
% 0.20/0.55 cnf(i_0_1049, plain, (c_The(hAPP(hAPP(c_COMBB(tc_fun(X2,tc_bool),tc_bool,X2),hAPP(c_fequal(tc_fun(X2,tc_bool)),X1)),hAPP(c_COMBC(c_Set_Oinsert(X2),X2,tc_fun(X2,tc_bool),tc_fun(X2,tc_bool)),c_Orderings_Obot__class_Obot(tc_fun(X2,tc_bool)))),X2)=c_Set_Ocontents(X1,X2))).
% 0.20/0.55 cnf(i_0_666, plain, (hBOOL(c_in(hAPP(X1,X2),X3,X4))|~hBOOL(c_in(X2,X5,X6))|~hBOOL(hAPP(hAPP(c_lessequals(tc_fun(X4,tc_bool)),c_Set_Oimage(X1,X5,X6,X4)),X3)))).
% 0.20/0.55 cnf(i_0_669, plain, (hBOOL(hAPP(hAPP(c_lessequals(tc_fun(X1,tc_bool)),hAPP(hAPP(c_HOL_Ominus__class_Ominus(tc_fun(X1,tc_bool)),X2),hAPP(hAPP(c_Set_Oinsert(X1),X3),c_Orderings_Obot__class_Obot(tc_fun(X1,tc_bool))))),X4))|~hBOOL(c_in(X3,X2,X1))|~hBOOL(hAPP(hAPP(c_lessequals(tc_fun(X1,tc_bool)),X2),hAPP(hAPP(c_Set_Oinsert(X1),X3),X4))))).
% 0.20/0.55 cnf(i_0_673, plain, (hBOOL(hAPP(hAPP(c_lessequals(tc_fun(X1,tc_bool)),c_Set_Oimage(X2,X3,X4,X1)),c_Set_Oimage(X2,X5,X4,X1)))|~c_Fun_Oinj__on(X2,c_Orderings_Otop__class_Otop(tc_fun(X4,tc_bool)),X4,X1)|~hBOOL(hAPP(hAPP(c_lessequals(tc_fun(X4,tc_bool)),X3),X5)))).
% 0.20/0.55 cnf(i_0_757, plain, (hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(X1,tc_bool)),c_Set_Oimage(X2,hAPP(hAPP(c_HOL_Ominus__class_Ominus(tc_fun(X3,tc_bool)),X4),X5),X3,X1)),c_Set_Oimage(X2,hAPP(hAPP(c_HOL_Ominus__class_Ominus(tc_fun(X3,tc_bool)),X5),X4),X3,X1))=c_Orderings_Obot__class_Obot(tc_fun(X1,tc_bool))|~c_Fun_Oinj__on(X2,hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(X3,tc_bool)),X4),X5),X3,X1))).
% 0.20/0.55 cnf(i_0_851, plain, (c_Fun_Oinj__on(c_Fun_Ocomp(X1,X2,X3,X4,X5),X6,X5,X4)|~c_Fun_Oinj__on(X2,X6,X5,X3)|~c_Fun_Oinj__on(X1,c_Set_Oimage(X2,X6,X5,X3),X3,X4))).
% 0.20/0.55 cnf(i_0_745, plain, (c_Set_Oimage(X1,X2,X3,X3)=X2|~c_Finite__Set_Ofinite(X2,X3)|~c_Fun_Oinj__on(X1,X2,X3,X3)|~hBOOL(hAPP(hAPP(c_lessequals(tc_fun(X3,tc_bool)),c_Set_Oimage(X1,X2,X3,X3)),X2)))).
% 0.20/0.55 cnf(i_0_708, plain, (hBOOL(hAPP(hAPP(c_lessequals(tc_fun(X1,tc_bool)),hAPP(X2,X3)),X4))|~hBOOL(c_in(X3,X5,X6))|~hBOOL(hAPP(hAPP(c_lessequals(tc_fun(X1,tc_bool)),c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(X5,X2,X6,tc_fun(X1,tc_bool))),X4)))).
% 0.20/0.55 cnf(i_0_651, plain, (c_Fun_Oinj__on(X1,hAPP(hAPP(c_Set_Oinsert(X2),X3),X4),X2,X5)|hBOOL(c_in(hAPP(X1,X3),c_Set_Oimage(X1,hAPP(hAPP(c_HOL_Ominus__class_Ominus(tc_fun(X2,tc_bool)),X4),hAPP(hAPP(c_Set_Oinsert(X2),X3),c_Orderings_Obot__class_Obot(tc_fun(X2,tc_bool)))),X2,X5),X5))|~c_Fun_Oinj__on(X1,X4,X2,X5))).
% 0.20/0.55 cnf(i_0_1051, plain, (c_Finite__Set_Ofinite(X1,X2)|~c_Finite__Set_Ofinite(hAPP(hAPP(c_COMBS(X2,tc_bool,tc_bool),hAPP(hAPP(c_COMBB(tc_bool,tc_fun(tc_bool,tc_bool),X2),c_or),X3)),X1),X2))).
% 0.20/0.55 cnf(i_0_1052, plain, (c_Finite__Set_Ofinite(X1,X2)|~c_Finite__Set_Ofinite(hAPP(hAPP(c_COMBS(X2,tc_bool,tc_bool),hAPP(hAPP(c_COMBB(tc_bool,tc_fun(tc_bool,tc_bool),X2),c_or),X1)),X3),X2))).
% 0.20/0.55 cnf(i_0_660, plain, (c_Fun_Oinj__on(X1,c_Set_Oimage(X2,X3,X4,X5),X5,X6)|~c_Fun_Oinj__on(c_Fun_Ocomp(X1,X2,X5,X6,X4),X3,X4,X6))).
% 0.20/0.55 cnf(i_0_1114, plain, (hAPP(c_Fun_Ocomp(X1,X2,X7,X8,X9),X3)=hAPP(c_Fun_Ocomp(X4,X5,X10,X8,X11),X6)|hAPP(X1,hAPP(X2,X3))!=hAPP(X4,hAPP(X5,X6)))).
% 0.20/0.55 cnf(i_0_1218, plain, (hBOOL(hAPP(hAPP(X2,v_sko__Hoare__Mirabelle__Xescape__1(X1,X2,X4,X3)),v_sko__Hoare__Mirabelle__Xescape__2(X1,X2,X4,X3)))|c_Hoare__Mirabelle_Ohoare__derivs(X1,hAPP(hAPP(c_Set_Oinsert(tc_Hoare__Mirabelle_Otriple(t_a)),c_Hoare__Mirabelle_Otriple_Otriple(X2,X3,X4,t_a)),c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(t_a),tc_bool))),t_a))).
% 0.20/0.55 cnf(i_0_1208, plain, (hBOOL(hAPP(hAPP(X2,v_sko__Hoare__Mirabelle__Xhoare__derivs__Xintros__6__1(X1,X2,X4,X3)),v_sko__Hoare__Mirabelle__Xhoare__derivs__Xintros__6__2(X1,X2,X4,X3)))|c_Hoare__Mirabelle_Ohoare__derivs(X1,hAPP(hAPP(c_Set_Oinsert(tc_Hoare__Mirabelle_Otriple(t_a)),c_Hoare__Mirabelle_Otriple_Otriple(X2,X3,X4,t_a)),c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(t_a),tc_bool))),t_a))).
% 0.20/0.55 cnf(i_0_1210, plain, (hBOOL(hAPP(hAPP(X2,v_sko__Hoare__Mirabelle__Xhoare__derivs__Xconseq__1(X1,X2,X4,X3)),v_sko__Hoare__Mirabelle__Xhoare__derivs__Xconseq__2(X1,X2,X4,X3)))|c_Hoare__Mirabelle_Ohoare__derivs(X1,hAPP(hAPP(c_Set_Oinsert(tc_Hoare__Mirabelle_Otriple(t_a)),c_Hoare__Mirabelle_Otriple_Otriple(X2,X3,X4,t_a)),c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(t_a),tc_bool))),t_a))).
% 0.20/0.55 cnf(i_0_670, plain, (hBOOL(hAPP(hAPP(c_lessequals(tc_fun(X1,tc_bool)),X2),hAPP(hAPP(c_Set_Oinsert(X1),X3),X4)))|~hBOOL(c_in(X3,X2,X1))|~hBOOL(hAPP(hAPP(c_lessequals(tc_fun(X1,tc_bool)),hAPP(hAPP(c_HOL_Ominus__class_Ominus(tc_fun(X1,tc_bool)),X2),hAPP(hAPP(c_Set_Oinsert(X1),X3),c_Orderings_Obot__class_Obot(tc_fun(X1,tc_bool))))),X4)))).
% 0.20/0.55 cnf(i_0_671, plain, (hBOOL(hAPP(hAPP(c_lessequals(tc_fun(X1,tc_bool)),X2),hAPP(hAPP(c_Set_Oinsert(X1),X3),X4)))|~hBOOL(c_in(X3,X2,X1))|~hBOOL(hAPP(hAPP(c_lessequals(tc_fun(X1,tc_bool)),hAPP(hAPP(c_HOL_Ominus__class_Ominus(tc_fun(X1,tc_bool)),X2),hAPP(hAPP(c_Set_Oinsert(X1),X3),c_Orderings_Obot__class_Obot(tc_fun(X1,tc_bool))))),X4)))).
% 0.20/0.55 cnf(i_0_1197, plain, (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_COMBC(c_fequal(X1),X1,X1,tc_bool),X2))),X3)=c_Orderings_Obot__class_Obot(tc_fun(X1,tc_bool))|hBOOL(hAPP(X3,X2)))).
% 0.20/0.55 cnf(i_0_1025, plain, (hBOOL(hAPP(hAPP(c_lessequals(tc_fun(X1,tc_bool)),X2),hAPP(hAPP(c_Set_Oinsert(X1),X3),X4)))|~hBOOL(hAPP(hAPP(c_lessequals(tc_fun(X1,tc_bool)),X2),X4))|~hBOOL(hAPP(hAPP(c_lessequals(tc_fun(X1,tc_bool)),hAPP(hAPP(c_HOL_Ominus__class_Ominus(tc_fun(X1,tc_bool)),X2),hAPP(hAPP(c_Set_Oinsert(X1),X3),c_Orderings_Obot__class_Obot(tc_fun(X1,tc_bool))))),X4)))).
% 0.20/0.55 cnf(i_0_1219, plain, (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_COMBC(c_fequal(X1),X1,X1,tc_bool),X2))),X3)=hAPP(hAPP(c_Set_Oinsert(X1),X2),c_Orderings_Obot__class_Obot(tc_fun(X1,tc_bool)))|~hBOOL(hAPP(X3,X2)))).
% 0.20/0.55 cnf(i_0_672, plain, (hBOOL(hAPP(hAPP(c_lessequals(tc_fun(X1,tc_bool)),X2),X3))|~c_Fun_Oinj__on(X5,c_Orderings_Otop__class_Otop(tc_fun(X1,tc_bool)),X1,X4)|~hBOOL(hAPP(hAPP(c_lessequals(tc_fun(X4,tc_bool)),c_Set_Oimage(X5,X2,X1,X4)),c_Set_Oimage(X5,X3,X1,X4))))).
% 0.20/0.55 cnf(i_0_966, plain, (hAPP(hAPP(c_Finite__Set_Osetsum(X2,X1),X3),c_Set_Oimage(X4,X5,X6,X2))=hAPP(hAPP(c_Finite__Set_Osetsum(X6,X1),c_Fun_Ocomp(X3,X4,X2,X1,X6)),X5)|~class_OrderedGroup_Ocomm__monoid__add(X1)|~c_Fun_Oinj__on(X4,X5,X6,X2))).
% 0.20/0.55 cnf(i_0_1211, plain, (hBOOL(hAPP(hAPP(X5,v_sko__Hoare__Mirabelle__Xconseq2__1(X4,X5)),v_sko__Hoare__Mirabelle__Xconseq2__2(X4,X5)))|c_Hoare__Mirabelle_Ohoare__derivs(X1,hAPP(hAPP(c_Set_Oinsert(tc_Hoare__Mirabelle_Otriple(t_a)),c_Hoare__Mirabelle_Otriple_Otriple(X2,X3,X4,t_a)),c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(t_a),tc_bool))),t_a)|~c_Hoare__Mirabelle_Ohoare__derivs(X1,hAPP(hAPP(c_Set_Oinsert(tc_Hoare__Mirabelle_Otriple(t_a)),c_Hoare__Mirabelle_Otriple_Otriple(X2,X3,X5,t_a)),c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(t_a),tc_bool))),t_a))).
% 0.20/0.55 cnf(i_0_1213, plain, (hBOOL(hAPP(hAPP(X2,v_sko__Hoare__Mirabelle__Xconseq1__1(X2,X5)),v_sko__Hoare__Mirabelle__Xconseq1__2(X2,X5)))|c_Hoare__Mirabelle_Ohoare__derivs(X1,hAPP(hAPP(c_Set_Oinsert(tc_Hoare__Mirabelle_Otriple(t_a)),c_Hoare__Mirabelle_Otriple_Otriple(X2,X3,X4,t_a)),c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(t_a),tc_bool))),t_a)|~c_Hoare__Mirabelle_Ohoare__derivs(X1,hAPP(hAPP(c_Set_Oinsert(tc_Hoare__Mirabelle_Otriple(t_a)),c_Hoare__Mirabelle_Otriple_Otriple(X5,X3,X4,t_a)),c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(t_a),tc_bool))),t_a))).
% 0.20/0.55 cnf(i_0_1215, plain, (c_Hoare__Mirabelle_Ohoare__derivs(X1,hAPP(hAPP(c_Set_Oinsert(tc_Hoare__Mirabelle_Otriple(t_a)),c_Hoare__Mirabelle_Otriple_Otriple(X2,X3,X4,t_a)),c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(t_a),tc_bool))),t_a)|~hBOOL(hAPP(hAPP(X5,v_sko__Hoare__Mirabelle__Xconseq1__1(X2,X5)),v_sko__Hoare__Mirabelle__Xconseq1__2(X2,X5)))|~c_Hoare__Mirabelle_Ohoare__derivs(X1,hAPP(hAPP(c_Set_Oinsert(tc_Hoare__Mirabelle_Otriple(t_a)),c_Hoare__Mirabelle_Otriple_Otriple(X5,X3,X4,t_a)),c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(t_a),tc_bool))),t_a))).
% 0.20/0.55 cnf(i_0_1217, plain, (c_Hoare__Mirabelle_Ohoare__derivs(X1,hAPP(hAPP(c_Set_Oinsert(tc_Hoare__Mirabelle_Otriple(t_a)),c_Hoare__Mirabelle_Otriple_Otriple(X2,X3,X4,t_a)),c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(t_a),tc_bool))),t_a)|~hBOOL(hAPP(hAPP(X4,v_sko__Hoare__Mirabelle__Xconseq2__1(X4,X5)),v_sko__Hoare__Mirabelle__Xconseq2__2(X4,X5)))|~c_Hoare__Mirabelle_Ohoare__derivs(X1,hAPP(hAPP(c_Set_Oinsert(tc_Hoare__Mirabelle_Otriple(t_a)),c_Hoare__Mirabelle_Otriple_Otriple(X2,X3,X5,t_a)),c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(t_a),tc_bool))),t_a))).
% 0.20/0.55 cnf(i_0_756, plain, (c_Fun_Oinj__on(X2,hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(X3,tc_bool)),X4),X5),X3,X1)|hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(X1,tc_bool)),c_Set_Oimage(X2,hAPP(hAPP(c_HOL_Ominus__class_Ominus(tc_fun(X3,tc_bool)),X4),X5),X3,X1)),c_Set_Oimage(X2,hAPP(hAPP(c_HOL_Ominus__class_Ominus(tc_fun(X3,tc_bool)),X5),X4),X3,X1))!=c_Orderings_Obot__class_Obot(tc_fun(X1,tc_bool))|~c_Fun_Oinj__on(X2,X5,X3,X1)|~c_Fun_Oinj__on(X2,X4,X3,X1))).
% 0.20/0.55 cnf(i_0_961, plain, (~c_Fun_Oinj__on(X1,hAPP(hAPP(c_Set_Oinsert(X3),X2),X4),X3,X5)|~hBOOL(c_in(hAPP(X1,X2),c_Set_Oimage(X1,hAPP(hAPP(c_HOL_Ominus__class_Ominus(tc_fun(X3,tc_bool)),X4),hAPP(hAPP(c_Set_Oinsert(X3),X2),c_Orderings_Obot__class_Obot(tc_fun(X3,tc_bool)))),X3,X5),X5)))).
% 0.20/0.55 cnf(i_0_943, plain, (c_Fun_Ocomp(X1,c_Fun_Ocomp(X2,X3,X4,X5,X6),X5,X7,X6)=c_Fun_Ocomp(c_Fun_Ocomp(X1,X2,X5,X7,X4),X3,X4,X7,X6))).
% 0.20/0.55 cnf(i_0_1021, plain, (hAPP(hAPP(c_Finite__Set_Osetsum(X2,X1),hAPP(hAPP(c_COMBS(X2,X1,X1),hAPP(hAPP(c_COMBB(X1,tc_fun(X1,X1),X2),c_HOL_Ominus__class_Ominus(X1)),X3)),X4)),X5)=hAPP(hAPP(c_HOL_Ominus__class_Ominus(X1),hAPP(hAPP(c_Finite__Set_Osetsum(X2,X1),X3),X5)),hAPP(hAPP(c_Finite__Set_Osetsum(X2,X1),X4),X5))|~class_OrderedGroup_Oab__group__add(X1))).
% 0.20/0.55 cnf(i_0_1196, plain, (c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(X2,hAPP(c_COMBC(hAPP(hAPP(c_COMBB(X4,tc_fun(tc_fun(X4,tc_bool),tc_fun(X4,tc_bool)),X3),c_Set_Oinsert(X4)),X1),X3,tc_fun(X4,tc_bool),tc_fun(X4,tc_bool)),c_Orderings_Obot__class_Obot(tc_fun(X4,tc_bool))),X3,tc_fun(X4,tc_bool))=c_Set_Oimage(X1,X2,X3,X4))).
% 0.20/0.55 cnf(i_0_983, plain, (hAPP(hAPP(c_Finite__Set_Osetsum(X2,X1),hAPP(c_COMBC(hAPP(hAPP(c_COMBB(X1,tc_fun(X1,X1),X2),c_HOL_Otimes__class_Otimes(X1)),X3),X2,X1,X1),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))).
% 0.20/0.55 cnf(i_0_1206, plain, (hBOOL(hAPP(hAPP(X5,X6),v_sko__Hoare__Mirabelle__Xconseq12__3(X2,X7,X4,X5)))|c_Hoare__Mirabelle_Ohoare__derivs(X1,hAPP(hAPP(c_Set_Oinsert(tc_Hoare__Mirabelle_Otriple(t_a)),c_Hoare__Mirabelle_Otriple_Otriple(X2,X3,X4,t_a)),c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(t_a),tc_bool))),t_a)|~hBOOL(hAPP(hAPP(X7,X6),v_sko__Hoare__Mirabelle__Xconseq12__2(X2,X7,X4,X5)))|~c_Hoare__Mirabelle_Ohoare__derivs(X1,hAPP(hAPP(c_Set_Oinsert(tc_Hoare__Mirabelle_Otriple(t_a)),c_Hoare__Mirabelle_Otriple_Otriple(X7,X3,X5,t_a)),c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(t_a),tc_bool))),t_a))).
% 0.20/0.55 cnf(i_0_809, 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)),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))=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)))).
% 0.20/0.55 cnf(i_0_1212, plain, (hBOOL(hAPP(hAPP(X2,v_sko__Hoare__Mirabelle__Xconseq12__1(X2,X5,X4,X6)),v_sko__Hoare__Mirabelle__Xconseq12__2(X2,X5,X4,X6)))|c_Hoare__Mirabelle_Ohoare__derivs(X1,hAPP(hAPP(c_Set_Oinsert(tc_Hoare__Mirabelle_Otriple(t_a)),c_Hoare__Mirabelle_Otriple_Otriple(X2,X3,X4,t_a)),c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(t_a),tc_bool))),t_a)|~c_Hoare__Mirabelle_Ohoare__derivs(X1,hAPP(hAPP(c_Set_Oinsert(tc_Hoare__Mirabelle_Otriple(t_a)),c_Hoare__Mirabelle_Otriple_Otriple(X5,X3,X6,t_a)),c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(t_a),tc_bool))),t_a))).
% 0.20/0.55 cnf(i_0_1229, plain, (c_Hoare__Mirabelle_Ohoare__derivs(X1,hAPP(hAPP(c_Set_Oinsert(tc_Hoare__Mirabelle_Otriple(X2)),c_Hoare__Mirabelle_Otriple_Otriple(X3,c_Com_Ocom_OSemi(X4,X5),X6,X2)),c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(X2),tc_bool))),X2)|~c_Hoare__Mirabelle_Ohoare__derivs(X1,hAPP(hAPP(c_Set_Oinsert(tc_Hoare__Mirabelle_Otriple(X2)),c_Hoare__Mirabelle_Otriple_Otriple(X7,X5,X6,X2)),c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(X2),tc_bool))),X2)|~c_Hoare__Mirabelle_Ohoare__derivs(X1,hAPP(hAPP(c_Set_Oinsert(tc_Hoare__Mirabelle_Otriple(X2)),c_Hoare__Mirabelle_Otriple_Otriple(X3,X4,X7,X2)),c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(X2),tc_bool))),X2))).
% 0.20/0.55 cnf(i_0_1156, plain, (c_Hoare__Mirabelle_Ohoare__derivs(X1,hAPP(hAPP(c_Set_Oinsert(tc_Hoare__Mirabelle_Otriple(X2)),c_Hoare__Mirabelle_Otriple_Otriple(X3,c_Com_Ocom_OBODY(X4),X5,X2)),c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(X2),tc_bool))),X2)|~c_Hoare__Mirabelle_Ohoare__derivs(hAPP(hAPP(c_Set_Oinsert(tc_Hoare__Mirabelle_Otriple(X2)),c_Hoare__Mirabelle_Otriple_Otriple(X3,c_Com_Ocom_OBODY(X4),X5,X2)),X1),hAPP(hAPP(c_Set_Oinsert(tc_Hoare__Mirabelle_Otriple(X2)),c_Hoare__Mirabelle_Otriple_Otriple(X3,c_Option_Othe(c_Com_Obody(X4),tc_Com_Ocom),X5,X2)),c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(X2),tc_bool))),X2))).
% 0.20/0.55 cnf(i_0_1216, plain, (c_Hoare__Mirabelle_Ohoare__derivs(X1,hAPP(hAPP(c_Set_Oinsert(tc_Hoare__Mirabelle_Otriple(t_a)),c_Hoare__Mirabelle_Otriple_Otriple(X2,X3,X4,t_a)),c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(t_a),tc_bool))),t_a)|~hBOOL(hAPP(hAPP(X4,v_sko__Hoare__Mirabelle__Xconseq12__1(X2,X5,X4,X6)),v_sko__Hoare__Mirabelle__Xconseq12__3(X2,X5,X4,X6)))|~c_Hoare__Mirabelle_Ohoare__derivs(X1,hAPP(hAPP(c_Set_Oinsert(tc_Hoare__Mirabelle_Otriple(t_a)),c_Hoare__Mirabelle_Otriple_Otriple(X5,X3,X6,t_a)),c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(t_a),tc_bool))),t_a))).
% 0.20/0.55 cnf(i_0_722, plain, (hBOOL(hAPP(hAPP(c_lessequals(tc_fun(X1,tc_bool)),c_Set_Oimage(X2,hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(X3,tc_bool)),X4),X5),X3,X1)),hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(X1,tc_bool)),c_Set_Oimage(X2,X4,X3,X1)),c_Set_Oimage(X2,X5,X3,X1)))))).
% 0.20/0.55 cnf(i_0_771, plain, (hBOOL(hAPP(hAPP(c_lessequals(tc_fun(X1,tc_bool)),hAPP(hAPP(c_HOL_Ominus__class_Ominus(tc_fun(X1,tc_bool)),c_Set_Oimage(X2,X3,X4,X1)),c_Set_Oimage(X2,X5,X4,X1))),c_Set_Oimage(X2,hAPP(hAPP(c_HOL_Ominus__class_Ominus(tc_fun(X4,tc_bool)),X3),X5),X4,X1))))).
% 0.20/0.55 cnf(i_0_1205, plain, (hBOOL(hAPP(hAPP(X5,X6),v_sko__Hoare__Mirabelle__Xhoare__derivs__Xconseq__3(X1,X2,X4,X3,X7,X5)))|c_Hoare__Mirabelle_Ohoare__derivs(X1,hAPP(hAPP(c_Set_Oinsert(tc_Hoare__Mirabelle_Otriple(t_a)),c_Hoare__Mirabelle_Otriple_Otriple(X2,X3,X4,t_a)),c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(t_a),tc_bool))),t_a)|~hBOOL(hAPP(hAPP(X7,X6),v_sko__Hoare__Mirabelle__Xhoare__derivs__Xconseq__2(X1,X2,X4,X3)))|~c_Hoare__Mirabelle_Ohoare__derivs(X1,hAPP(hAPP(c_Set_Oinsert(tc_Hoare__Mirabelle_Otriple(t_a)),c_Hoare__Mirabelle_Otriple_Otriple(X7,X3,X5,t_a)),c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(t_a),tc_bool))),t_a))).
% 0.20/0.55 cnf(i_0_1207, plain, (hBOOL(hAPP(hAPP(X5,X6),v_sko__Hoare__Mirabelle__Xhoare__derivs__Xintros__6__3(X1,X2,X4,X3,X7,X5)))|c_Hoare__Mirabelle_Ohoare__derivs(X1,hAPP(hAPP(c_Set_Oinsert(tc_Hoare__Mirabelle_Otriple(t_a)),c_Hoare__Mirabelle_Otriple_Otriple(X2,X3,X4,t_a)),c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(t_a),tc_bool))),t_a)|~hBOOL(hAPP(hAPP(X7,X6),v_sko__Hoare__Mirabelle__Xhoare__derivs__Xintros__6__2(X1,X2,X4,X3)))|~c_Hoare__Mirabelle_Ohoare__derivs(X1,hAPP(hAPP(c_Set_Oinsert(tc_Hoare__Mirabelle_Otriple(t_a)),c_Hoare__Mirabelle_Otriple_Otriple(X7,X3,X5,t_a)),c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(t_a),tc_bool))),t_a))).
% 0.20/0.55 cnf(i_0_1221, plain, (hAPP(hAPP(c_Finite__Set_Osetsum(X3,X1),hAPP(c_COMBC(hAPP(hAPP(c_COMBB(tc_fun(X2,X1),tc_fun(tc_fun(X2,tc_bool),X1),X3),c_Finite__Set_Osetsum(X2,X1)),c_COMBC(X4,X2,X3,X1)),X3,tc_fun(X2,tc_bool),X1),X6)),X5)=hAPP(hAPP(c_Finite__Set_Osetsum(X2,X1),hAPP(c_COMBC(hAPP(hAPP(c_COMBB(tc_fun(X3,X1),tc_fun(tc_fun(X3,tc_bool),X1),X2),c_Finite__Set_Osetsum(X3,X1)),X4),X2,tc_fun(X3,tc_bool),X1),X5)),X6)|~class_OrderedGroup_Ocomm__monoid__add(X1))).
% 0.20/0.55 cnf(i_0_1209, plain, (c_Hoare__Mirabelle_Ohoare__derivs(X1,hAPP(hAPP(c_Set_Oinsert(tc_Hoare__Mirabelle_Otriple(t_a)),c_Hoare__Mirabelle_Otriple_Otriple(X2,X3,X4,t_a)),c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(t_a),tc_bool))),t_a)|~hBOOL(hAPP(hAPP(X4,v_sko__Hoare__Mirabelle__Xhoare__derivs__Xintros__6__1(X1,X2,X4,X3)),v_sko__Hoare__Mirabelle__Xhoare__derivs__Xintros__6__3(X1,X2,X4,X3,X5,X6)))|~c_Hoare__Mirabelle_Ohoare__derivs(X1,hAPP(hAPP(c_Set_Oinsert(tc_Hoare__Mirabelle_Otriple(t_a)),c_Hoare__Mirabelle_Otriple_Otriple(X5,X3,X6,t_a)),c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(t_a),tc_bool))),t_a))).
% 0.20/0.55 cnf(i_0_1214, plain, (c_Hoare__Mirabelle_Ohoare__derivs(X1,hAPP(hAPP(c_Set_Oinsert(tc_Hoare__Mirabelle_Otriple(t_a)),c_Hoare__Mirabelle_Otriple_Otriple(X2,X3,X4,t_a)),c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(t_a),tc_bool))),t_a)|~hBOOL(hAPP(hAPP(X4,v_sko__Hoare__Mirabelle__Xhoare__derivs__Xconseq__1(X1,X2,X4,X3)),v_sko__Hoare__Mirabelle__Xhoare__derivs__Xconseq__3(X1,X2,X4,X3,X5,X6)))|~c_Hoare__Mirabelle_Ohoare__derivs(X1,hAPP(hAPP(c_Set_Oinsert(tc_Hoare__Mirabelle_Otriple(t_a)),c_Hoare__Mirabelle_Otriple_Otriple(X5,X3,X6,t_a)),c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(t_a),tc_bool))),t_a))).
% 0.20/0.55 cnf(i_0_1155, plain, (c_Hoare__Mirabelle_Ohoare__derivs(X1,hAPP(hAPP(c_Set_Oinsert(tc_Hoare__Mirabelle_Otriple(X2)),c_Hoare__Mirabelle_Otriple_Otriple(X3,c_Com_Ocom_OWhile(X4,X5),c_Hoare__Mirabelle_Opeek__and(X3,c_Fun_Ocomp(c_Not,X4,tc_bool,tc_bool,tc_Com_Ostate),X2),X2)),c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(X2),tc_bool))),X2)|~c_Hoare__Mirabelle_Ohoare__derivs(X1,hAPP(hAPP(c_Set_Oinsert(tc_Hoare__Mirabelle_Otriple(X2)),c_Hoare__Mirabelle_Otriple_Otriple(c_Hoare__Mirabelle_Opeek__and(X3,X4,X2),X5,X3,X2)),c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(X2),tc_bool))),X2))).
% 0.20/0.55 cnf(i_0_1157, plain, (c_Hoare__Mirabelle_Ohoare__derivs(X1,hAPP(hAPP(c_Set_Oinsert(tc_Hoare__Mirabelle_Otriple(X2)),c_Hoare__Mirabelle_Otriple_Otriple(X3,c_Com_Ocom_OCond(X4,X5,X6),X7,X2)),c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(X2),tc_bool))),X2)|~c_Hoare__Mirabelle_Ohoare__derivs(X1,hAPP(hAPP(c_Set_Oinsert(tc_Hoare__Mirabelle_Otriple(X2)),c_Hoare__Mirabelle_Otriple_Otriple(c_Hoare__Mirabelle_Opeek__and(X3,X4,X2),X5,X7,X2)),c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(X2),tc_bool))),X2)|~c_Hoare__Mirabelle_Ohoare__derivs(X1,hAPP(hAPP(c_Set_Oinsert(tc_Hoare__Mirabelle_Otriple(X2)),c_Hoare__Mirabelle_Otriple_Otriple(c_Hoare__Mirabelle_Opeek__and(X3,c_Fun_Ocomp(c_Not,X4,tc_bool,tc_bool,tc_Com_Ostate),X2),X6,X7,X2)),c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(X2),tc_bool))),X2))).
% 0.20/0.55 cnf(i_0_1204, plain, (c_Hoare__Mirabelle_Ohoare__derivs(X1,hAPP(hAPP(c_Set_Oinsert(tc_Hoare__Mirabelle_Otriple(t_a)),c_Hoare__Mirabelle_Otriple_Otriple(X2,X3,X4,t_a)),c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(t_a),tc_bool))),t_a)|~c_Hoare__Mirabelle_Ohoare__derivs(X1,hAPP(hAPP(c_Set_Oinsert(tc_Hoare__Mirabelle_Otriple(t_a)),c_Hoare__Mirabelle_Otriple_Otriple(c_COMBK(hAPP(c_COMBC(c_fequal(tc_Com_Ostate),tc_Com_Ostate,tc_Com_Ostate,tc_bool),v_sko__Hoare__Mirabelle__Xescape__2(X1,X2,X4,X3)),tc_fun(tc_Com_Ostate,tc_bool),t_a),X3,c_COMBK(hAPP(X4,v_sko__Hoare__Mirabelle__Xescape__1(X1,X2,X4,X3)),tc_fun(tc_Com_Ostate,tc_bool),t_a),t_a)),c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(t_a),tc_bool))),t_a))).
% 0.20/0.55 cnf(i_0_1220, plain, (hAPP(hAPP(c_Finite__Set_Osetsum(X2,X1),hAPP(c_COMBC(hAPP(hAPP(c_COMBB(tc_fun(X5,X1),tc_fun(tc_fun(X5,tc_bool),X1),X2),c_Finite__Set_Osetsum(X5,X1)),hAPP(c_COMBC(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)),X2,tc_fun(X5,X1),tc_fun(X5,X1)),X6)),X2,tc_fun(X5,tc_bool),X1),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))).
% 0.20/0.55 cnf(i_0_1164, plain, (c_Finite__Set_Ofinite(hAPP(hAPP(c_COMBB(tc_fun(X1,tc_bool),tc_bool,X2),c_Ex(X1)),hAPP(c_COMBC(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)),X2),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)),X2),hAPP(c_COMBB(tc_bool,tc_fun(tc_bool,tc_bool),X1),c_and)),hAPP(c_COMBC(hAPP(hAPP(c_COMBB(tc_fun(X2,tc_bool),tc_fun(tc_fun(X1,X2),tc_fun(X1,tc_bool)),X2),c_COMBB(X2,tc_bool,X1)),c_fequal(X2)),X2,tc_fun(X1,X2),tc_fun(X1,tc_bool)),X3))),X2,tc_fun(X1,tc_bool),tc_fun(X1,tc_bool)),X4)),X2)|~c_Finite__Set_Ofinite(X4,X1))).
% 0.20/0.55 cnf(i_0_1255, negated_conjecture, (~c_Hoare__Mirabelle_Ohoare__derivs(v_G,hAPP(hAPP(c_Set_Oinsert(tc_Hoare__Mirabelle_Otriple(t_a)),c_Hoare__Mirabelle_Otriple_Otriple(c_COMBK(c_COMBK(c_False,tc_bool,tc_Com_Ostate),tc_fun(tc_Com_Ostate,tc_bool),t_a),v_c,hAPP(c_COMBC(hAPP(hAPP(c_COMBB(tc_fun(tc_Com_Ostate,tc_fun(tc_bool,tc_bool)),tc_fun(tc_fun(tc_Com_Ostate,tc_bool),tc_fun(tc_Com_Ostate,tc_bool)),t_a),c_COMBS(tc_Com_Ostate,tc_bool,tc_bool)),hAPP(hAPP(c_COMBB(tc_fun(tc_Com_Ostate,tc_bool),tc_fun(tc_Com_Ostate,tc_fun(tc_bool,tc_bool)),t_a),hAPP(c_COMBB(tc_bool,tc_fun(tc_bool,tc_bool),tc_Com_Ostate),c_and)),v_P)),t_a,tc_fun(tc_Com_Ostate,tc_bool),tc_fun(tc_Com_Ostate,tc_bool)),hAPP(hAPP(c_COMBB(tc_bool,tc_bool,tc_Com_Ostate),c_Not),v_b)),t_a)),c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(t_a),tc_bool))),t_a))).
% 0.20/0.55 cnf(i_0_1116, plain, (c_Complete__Lattice_Ocomplete__lattice(c_Complete__Lattice_OSup__class_OSup(X1),c_Complete__Lattice_OInf__class_OInf(X1),c_COMBC(c_lessequals(X1),X1,X1,tc_bool),c_COMBC(c_HOL_Oord__class_Oless(X1),X1,X1,tc_bool),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))).
% 0.20/0.55 cnf(i_0_994, 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))).
% 0.20/0.55 cnf(i_0_993, 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))).
% 0.20/0.55 cnf(i_0_679, 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))).
% 0.20/0.55 cnf(i_0_680, 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))).
% 0.20/0.55 cnf(i_0_1033, 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))).
% 0.20/0.55 cnf(i_0_1032, 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))).
% 0.20/0.55 cnf(i_0_1171, 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))).
% 0.20/0.55 cnf(i_0_1170, 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))).
% 0.20/0.55 cnf(i_0_840, plain, (hBOOL(hAPP(hAPP(X1,X2),hAPP(X3,X4)))|~hBOOL(c_in(X2,X4,X5))|~c_Complete__Lattice_Ocomplete__lattice(X6,X3,X1,X7,X8,X9,X10,X11,X5))).
% 0.20/0.55 cnf(i_0_839, plain, (hBOOL(hAPP(hAPP(X1,hAPP(X2,X3)),X4))|~hBOOL(c_in(X4,X3,X5))|~c_Complete__Lattice_Ocomplete__lattice(X2,X6,X1,X7,X8,X9,X10,X11,X5))).
% 0.20/0.55 cnf(i_0_1179, 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))).
% 0.20/0.55 cnf(i_0_1178, 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))).
% 0.20/0.55 cnf(i_0_804, plain, (c_Complete__Lattice_Ocomplete__lattice(X1,X2,c_COMBC(X3,X4,X4,tc_bool),c_COMBC(X5,X4,X4,tc_bool),X6,X7,X8,X9,X4)|~c_Complete__Lattice_Ocomplete__lattice(X2,X1,X3,X5,X7,X6,X9,X8,X4))).
% 0.20/0.55 # End listing active clauses. There is an equivalent clause to each of these in the clausification!
% 0.20/0.55 # Begin printing tableau
% 0.20/0.55 # Found 8 steps
% 0.20/0.55 cnf(i_0_1255, negated_conjecture, (~c_Hoare__Mirabelle_Ohoare__derivs(v_G,hAPP(hAPP(c_Set_Oinsert(tc_Hoare__Mirabelle_Otriple(t_a)),c_Hoare__Mirabelle_Otriple_Otriple(c_COMBK(c_COMBK(c_False,tc_bool,tc_Com_Ostate),tc_fun(tc_Com_Ostate,tc_bool),t_a),v_c,hAPP(c_COMBC(hAPP(hAPP(c_COMBB(tc_fun(tc_Com_Ostate,tc_fun(tc_bool,tc_bool)),tc_fun(tc_fun(tc_Com_Ostate,tc_bool),tc_fun(tc_Com_Ostate,tc_bool)),t_a),c_COMBS(tc_Com_Ostate,tc_bool,tc_bool)),hAPP(hAPP(c_COMBB(tc_fun(tc_Com_Ostate,tc_bool),tc_fun(tc_Com_Ostate,tc_fun(tc_bool,tc_bool)),t_a),hAPP(c_COMBB(tc_bool,tc_fun(tc_bool,tc_bool),tc_Com_Ostate),c_and)),v_P)),t_a,tc_fun(tc_Com_Ostate,tc_bool),tc_fun(tc_Com_Ostate,tc_bool)),hAPP(hAPP(c_COMBB(tc_bool,tc_bool,tc_Com_Ostate),c_Not),v_b)),t_a)),c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(t_a),tc_bool))),t_a)), inference(start_rule)).
% 0.20/0.55 cnf(i_0_1289, plain, (~c_Hoare__Mirabelle_Ohoare__derivs(v_G,hAPP(hAPP(c_Set_Oinsert(tc_Hoare__Mirabelle_Otriple(t_a)),c_Hoare__Mirabelle_Otriple_Otriple(c_COMBK(c_COMBK(c_False,tc_bool,tc_Com_Ostate),tc_fun(tc_Com_Ostate,tc_bool),t_a),v_c,hAPP(c_COMBC(hAPP(hAPP(c_COMBB(tc_fun(tc_Com_Ostate,tc_fun(tc_bool,tc_bool)),tc_fun(tc_fun(tc_Com_Ostate,tc_bool),tc_fun(tc_Com_Ostate,tc_bool)),t_a),c_COMBS(tc_Com_Ostate,tc_bool,tc_bool)),hAPP(hAPP(c_COMBB(tc_fun(tc_Com_Ostate,tc_bool),tc_fun(tc_Com_Ostate,tc_fun(tc_bool,tc_bool)),t_a),hAPP(c_COMBB(tc_bool,tc_fun(tc_bool,tc_bool),tc_Com_Ostate),c_and)),v_P)),t_a,tc_fun(tc_Com_Ostate,tc_bool),tc_fun(tc_Com_Ostate,tc_bool)),hAPP(hAPP(c_COMBB(tc_bool,tc_bool,tc_Com_Ostate),c_Not),v_b)),t_a)),c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(t_a),tc_bool))),t_a)), inference(extension_rule, [i_0_1212])).
% 0.20/0.55 cnf(i_0_2449, plain, (hBOOL(hAPP(hAPP(c_COMBK(c_COMBK(c_False,tc_bool,tc_Com_Ostate),tc_fun(tc_Com_Ostate,tc_bool),t_a),v_sko__Hoare__Mirabelle__Xconseq12__1(c_COMBK(c_COMBK(c_False,tc_bool,tc_Com_Ostate),tc_fun(tc_Com_Ostate,tc_bool),t_a),c_COMBK(c_Orderings_Obot__class_Obot(tc_fun(X31,tc_bool)),X2,X3),hAPP(c_COMBC(hAPP(hAPP(c_COMBB(tc_fun(tc_Com_Ostate,tc_fun(tc_bool,tc_bool)),tc_fun(tc_fun(tc_Com_Ostate,tc_bool),tc_fun(tc_Com_Ostate,tc_bool)),t_a),c_COMBS(tc_Com_Ostate,tc_bool,tc_bool)),hAPP(hAPP(c_COMBB(tc_fun(tc_Com_Ostate,tc_bool),tc_fun(tc_Com_Ostate,tc_fun(tc_bool,tc_bool)),t_a),hAPP(c_COMBB(tc_bool,tc_fun(tc_bool,tc_bool),tc_Com_Ostate),c_and)),v_P)),t_a,tc_fun(tc_Com_Ostate,tc_bool),tc_fun(tc_Com_Ostate,tc_bool)),hAPP(hAPP(c_COMBB(tc_bool,tc_bool,tc_Com_Ostate),c_Not),v_b)),X9)),v_sko__Hoare__Mirabelle__Xconseq12__2(c_COMBK(c_COMBK(c_False,tc_bool,tc_Com_Ostate),tc_fun(tc_Com_Ostate,tc_bool),t_a),c_COMBK(c_Orderings_Obot__class_Obot(tc_fun(X31,tc_bool)),X2,X3),hAPP(c_COMBC(hAPP(hAPP(c_COMBB(tc_fun(tc_Com_Ostate,tc_fun(tc_bool,tc_bool)),tc_fun(tc_fun(tc_Com_Ostate,tc_bool),tc_fun(tc_Com_Ostate,tc_bool)),t_a),c_COMBS(tc_Com_Ostate,tc_bool,tc_bool)),hAPP(hAPP(c_COMBB(tc_fun(tc_Com_Ostate,tc_bool),tc_fun(tc_Com_Ostate,tc_fun(tc_bool,tc_bool)),t_a),hAPP(c_COMBB(tc_bool,tc_fun(tc_bool,tc_bool),tc_Com_Ostate),c_and)),v_P)),t_a,tc_fun(tc_Com_Ostate,tc_bool),tc_fun(tc_Com_Ostate,tc_bool)),hAPP(hAPP(c_COMBB(tc_bool,tc_bool,tc_Com_Ostate),c_Not),v_b)),X9)))), inference(extension_rule, [i_0_1002])).
% 0.20/0.55 cnf(i_0_2592, plain, (hAPP(c_COMBK(c_COMBK(c_False,tc_bool,tc_Com_Ostate),tc_fun(tc_Com_Ostate,tc_bool),t_a),v_sko__Hoare__Mirabelle__Xconseq12__1(c_COMBK(c_COMBK(c_False,tc_bool,tc_Com_Ostate),tc_fun(tc_Com_Ostate,tc_bool),t_a),c_COMBK(c_Orderings_Obot__class_Obot(tc_fun(X31,tc_bool)),X2,X3),hAPP(c_COMBC(hAPP(hAPP(c_COMBB(tc_fun(tc_Com_Ostate,tc_fun(tc_bool,tc_bool)),tc_fun(tc_fun(tc_Com_Ostate,tc_bool),tc_fun(tc_Com_Ostate,tc_bool)),t_a),c_COMBS(tc_Com_Ostate,tc_bool,tc_bool)),hAPP(hAPP(c_COMBB(tc_fun(tc_Com_Ostate,tc_bool),tc_fun(tc_Com_Ostate,tc_fun(tc_bool,tc_bool)),t_a),hAPP(c_COMBB(tc_bool,tc_fun(tc_bool,tc_bool),tc_Com_Ostate),c_and)),v_P)),t_a,tc_fun(tc_Com_Ostate,tc_bool),tc_fun(tc_Com_Ostate,tc_bool)),hAPP(hAPP(c_COMBB(tc_bool,tc_bool,tc_Com_Ostate),c_Not),v_b)),X9))!=c_Orderings_Obot__class_Obot(tc_fun(X6,tc_bool))), inference(extension_rule, [i_0_844])).
% 0.20/0.55 cnf(i_0_2451, plain, (~c_Hoare__Mirabelle_Ohoare__derivs(v_G,hAPP(hAPP(c_Set_Oinsert(tc_Hoare__Mirabelle_Otriple(t_a)),c_Hoare__Mirabelle_Otriple_Otriple(c_COMBK(c_Orderings_Obot__class_Obot(tc_fun(X31,tc_bool)),X2,X3),v_c,X9,t_a)),c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(t_a),tc_bool))),t_a)), inference(extension_rule, [i_0_1218])).
% 0.20/0.55 cnf(i_0_12191, plain, (hBOOL(hAPP(hAPP(c_COMBK(c_Orderings_Obot__class_Obot(tc_fun(X31,tc_bool)),X2,X3),v_sko__Hoare__Mirabelle__Xescape__1(v_G,c_COMBK(c_Orderings_Obot__class_Obot(tc_fun(X31,tc_bool)),X2,X3),X9,v_c)),v_sko__Hoare__Mirabelle__Xescape__2(v_G,c_COMBK(c_Orderings_Obot__class_Obot(tc_fun(X31,tc_bool)),X2,X3),X9,v_c)))), inference(extension_rule, [i_0_995])).
% 0.20/0.55 cnf(i_0_12266, plain, (c_Orderings_Obot__class_Obot(tc_fun(X31,tc_bool))!=hAPP(c_COMBK(c_Orderings_Obot__class_Obot(tc_fun(X31,tc_bool)),X2,X3),v_sko__Hoare__Mirabelle__Xescape__1(v_G,c_COMBK(c_Orderings_Obot__class_Obot(tc_fun(X31,tc_bool)),X2,X3),X9,v_c))), inference(closure_rule, [i_0_1250])).
% 0.20/0.55 cnf(i_0_2595, plain, (c_Com_Ocom_OBODY(hAPP(c_COMBK(c_COMBK(c_False,tc_bool,tc_Com_Ostate),tc_fun(tc_Com_Ostate,tc_bool),t_a),v_sko__Hoare__Mirabelle__Xconseq12__1(c_COMBK(c_COMBK(c_False,tc_bool,tc_Com_Ostate),tc_fun(tc_Com_Ostate,tc_bool),t_a),c_COMBK(c_Orderings_Obot__class_Obot(tc_fun(X31,tc_bool)),X2,X3),hAPP(c_COMBC(hAPP(hAPP(c_COMBB(tc_fun(tc_Com_Ostate,tc_fun(tc_bool,tc_bool)),tc_fun(tc_fun(tc_Com_Ostate,tc_bool),tc_fun(tc_Com_Ostate,tc_bool)),t_a),c_COMBS(tc_Com_Ostate,tc_bool,tc_bool)),hAPP(hAPP(c_COMBB(tc_fun(tc_Com_Ostate,tc_bool),tc_fun(tc_Com_Ostate,tc_fun(tc_bool,tc_bool)),t_a),hAPP(c_COMBB(tc_bool,tc_fun(tc_bool,tc_bool),tc_Com_Ostate),c_and)),v_P)),t_a,tc_fun(tc_Com_Ostate,tc_bool),tc_fun(tc_Com_Ostate,tc_bool)),hAPP(hAPP(c_COMBB(tc_bool,tc_bool,tc_Com_Ostate),c_Not),v_b)),X9)))!=c_Com_Ocom_OBODY(c_Orderings_Obot__class_Obot(tc_fun(X6,tc_bool)))), inference(etableau_closure_rule, [i_0_2595, ...])).
% 0.20/0.55 # End printing tableau
% 0.20/0.55 # SZS output end
% 0.20/0.55 # Branches closed with saturation will be marked with an "s"
% 0.20/0.56 # Child (21810) has found a proof.
% 0.20/0.56
% 0.20/0.56 # Proof search is over...
% 0.20/0.56 # Freeing feature tree
%------------------------------------------------------------------------------