TSTP Solution File: SWV843-1 by Etableau---0.67
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- Process Solution
%------------------------------------------------------------------------------
% File : Etableau---0.67
% Problem : SWV843-1 : 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 : n012.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 18:23:41 EDT 2022
% Result : Unsatisfiable 0.40s 1.01s
% Output : CNFRefutation 0.40s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.06/0.12 % Problem : SWV843-1 : TPTP v8.1.0. Released v4.1.0.
% 0.06/0.13 % Command : etableau --auto --tsmdo --quicksat=10000 --tableau=1 --tableau-saturation=1 -s -p --tableau-cores=8 --cpu-limit=%d %s
% 0.14/0.33 % Computer : n012.cluster.edu
% 0.14/0.33 % Model : x86_64 x86_64
% 0.14/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.33 % Memory : 8042.1875MB
% 0.14/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.33 % CPULimit : 300
% 0.14/0.33 % WCLimit : 600
% 0.14/0.33 % DateTime : Tue Jun 14 19:38:25 EDT 2022
% 0.14/0.34 % CPUTime :
% 0.38/0.54 # No SInE strategy applied
% 0.38/0.54 # Auto-Mode selected heuristic G_E___208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN
% 0.38/0.54 # and selection function SelectComplexExceptUniqMaxHorn.
% 0.38/0.54 #
% 0.38/0.54 # Presaturation interreduction done
% 0.38/0.54 # Number of axioms: 1040 Number of unprocessed: 865
% 0.38/0.54 # Tableaux proof search.
% 0.38/0.54 # APR header successfully linked.
% 0.38/0.54 # Hello from C++
% 0.40/0.56 # The folding up rule is enabled...
% 0.40/0.56 # Local unification is enabled...
% 0.40/0.56 # Any saturation attempts will use folding labels...
% 0.40/0.56 # 865 beginning clauses after preprocessing and clausification
% 0.40/0.56 # Creating start rules for all 6 conjectures.
% 0.40/0.56 # There are 6 start rule candidates:
% 0.40/0.56 # Found 162 unit axioms.
% 0.40/0.56 # Unsuccessfully attempted saturation on 1 start tableaux, moving on.
% 0.40/0.56 # 6 start rule tableaux created.
% 0.40/0.56 # 703 extension rule candidate clauses
% 0.40/0.56 # 162 unit axiom clauses
% 0.40/0.56
% 0.40/0.56 # Requested 8, 32 cores available to the main process.
% 0.40/0.56 # There are not enough tableaux to fork, creating more from the initial 6
% 0.40/0.56 # Returning from population with 15 new_tableaux and 0 remaining starting tableaux.
% 0.40/0.56 # We now have 15 tableaux to operate on
% 0.40/1.01 # There were 1 total branch saturation attempts.
% 0.40/1.01 # There were 0 of these attempts blocked.
% 0.40/1.01 # There were 0 deferred branch saturation attempts.
% 0.40/1.01 # There were 0 free duplicated saturations.
% 0.40/1.01 # There were 1 total successful branch saturations.
% 0.40/1.01 # There were 0 successful branch saturations in interreduction.
% 0.40/1.01 # There were 0 successful branch saturations on the branch.
% 0.40/1.01 # There were 1 successful branch saturations after the branch.
% 0.40/1.01 # SZS status Unsatisfiable for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.40/1.01 # SZS output start for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.40/1.01 # Begin clausification derivation
% 0.40/1.01
% 0.40/1.01 # End clausification derivation
% 0.40/1.01 # Begin listing active clauses obtained from FOF to CNF conversion
% 0.40/1.01 cnf(i_0_2071, plain, (class_Lattices_Olattice(tc_bool))).
% 0.40/1.01 cnf(i_0_2020, negated_conjecture, (c_Finite__Set_Ofinite(v_F,t_a))).
% 0.40/1.01 cnf(i_0_1978, 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))).
% 0.40/1.01 cnf(i_0_2065, plain, (class_Lattices_Olower__semilattice(tc_bool))).
% 0.40/1.01 cnf(i_0_2057, plain, (class_Orderings_Olinorder(tc_nat))).
% 0.40/1.01 cnf(i_0_2064, plain, (class_Lattices_Oupper__semilattice(tc_bool))).
% 0.40/1.01 cnf(i_0_2067, plain, (class_Lattices_Obounded__lattice(tc_bool))).
% 0.40/1.01 cnf(i_0_2072, plain, (class_Orderings_Oorder(tc_bool))).
% 0.40/1.01 cnf(i_0_2070, plain, (class_Orderings_Opreorder(tc_bool))).
% 0.40/1.01 cnf(i_0_2077, plain, (class_HOL_Oord(tc_bool))).
% 0.40/1.01 cnf(i_0_2068, plain, (class_Lattices_Oboolean__algebra(tc_bool))).
% 0.40/1.01 cnf(i_0_2050, plain, (class_OrderedGroup_Ocomm__monoid__add(tc_nat))).
% 0.40/1.01 cnf(i_0_2066, plain, (class_Lattices_Odistrib__lattice(tc_bool))).
% 0.40/1.01 cnf(i_0_2058, plain, (class_Lattices_Olattice(tc_nat))).
% 0.40/1.01 cnf(i_0_2052, plain, (class_Lattices_Olower__semilattice(tc_nat))).
% 0.40/1.01 cnf(i_0_2051, plain, (class_Lattices_Oupper__semilattice(tc_nat))).
% 0.40/1.01 cnf(i_0_2046, plain, (class_Ring__and__Field_Ocomm__semiring__1(tc_nat))).
% 0.40/1.01 cnf(i_0_2063, plain, (class_Complete__Lattice_Ocomplete__lattice(tc_bool))).
% 0.40/1.01 cnf(i_0_2075, plain, (class_HOL_Ouminus(tc_bool))).
% 0.40/1.01 cnf(i_0_2076, plain, (class_HOL_Ominus(tc_bool))).
% 0.40/1.01 cnf(i_0_2069, plain, (class_Finite__Set_Ofinite_Ofinite(tc_bool))).
% 0.40/1.01 cnf(i_0_2074, plain, (class_Orderings_Obot(tc_bool))).
% 0.40/1.01 cnf(i_0_2059, plain, (class_Orderings_Oorder(tc_nat))).
% 0.40/1.01 cnf(i_0_2073, plain, (class_Orderings_Otop(tc_bool))).
% 0.40/1.01 cnf(i_0_2056, plain, (class_Orderings_Opreorder(tc_nat))).
% 0.40/1.01 cnf(i_0_2062, plain, (class_HOL_Oord(tc_nat))).
% 0.40/1.01 cnf(i_0_2041, plain, (class_OrderedGroup_Opordered__cancel__ab__semigroup__add(tc_nat))).
% 0.40/1.01 cnf(i_0_2043, plain, (class_OrderedGroup_Opordered__ab__semigroup__add(tc_nat))).
% 0.40/1.01 cnf(i_0_2054, plain, (class_Lattices_Odistrib__lattice(tc_nat))).
% 0.40/1.01 cnf(i_0_2048, plain, (class_OrderedGroup_Oab__semigroup__add(tc_nat))).
% 0.40/1.01 cnf(i_0_2042, plain, (class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(tc_nat))).
% 0.40/1.01 cnf(i_0_2053, plain, (class_Ring__and__Field_Osemiring__0(tc_nat))).
% 0.40/1.01 cnf(i_0_2055, plain, (class_Ring__and__Field_Osemiring(tc_nat))).
% 0.40/1.01 cnf(i_0_2044, plain, (class_OrderedGroup_Ocancel__ab__semigroup__add(tc_nat))).
% 0.40/1.01 cnf(i_0_2045, plain, (class_OrderedGroup_Ocancel__semigroup__add(tc_nat))).
% 0.40/1.01 cnf(i_0_2047, plain, (class_OrderedGroup_Oab__semigroup__mult(tc_nat))).
% 0.40/1.01 cnf(i_0_2049, plain, (class_Ring__and__Field_Ocomm__semiring(tc_nat))).
% 0.40/1.01 cnf(i_0_2061, plain, (class_HOL_Ominus(tc_nat))).
% 0.40/1.01 cnf(i_0_2060, plain, (class_Orderings_Obot(tc_nat))).
% 0.40/1.01 cnf(i_0_1987, plain, (c_Finite__Set_Ofinite(c_Orderings_Obot__class_Obot(tc_fun(X1,tc_bool)),X1))).
% 0.40/1.01 cnf(i_0_1866, plain, (hBOOL(hAPP(c_Orderings_Otop__class_Otop(tc_fun(X1,tc_bool)),X2)))).
% 0.40/1.01 cnf(i_0_1986, plain, (c_Hoare__Mirabelle_Ohoare__derivs(X1,c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(X2),tc_bool)),X2))).
% 0.40/1.01 cnf(i_0_1305, plain, (hBOOL(hAPP(hAPP(c_lessequals(tc_nat),X1),X1)))).
% 0.40/1.01 cnf(i_0_2081, plain, (hBOOL(hAPP(hAPP(c_fequal(X1),X2),X2)))).
% 0.40/1.01 cnf(i_0_1967, plain, (hBOOL(hAPP(c_Set_Oinsert(X1,X2,X3),X1)))).
% 0.40/1.01 cnf(i_0_1833, plain, (hAPP(c_COMBK(X1,X2,X3),X4)=X1)).
% 0.40/1.01 cnf(i_0_1731, plain, (hBOOL(c_in(X1,c_Orderings_Otop__class_Otop(tc_fun(X2,tc_bool)),X2)))).
% 0.40/1.01 cnf(i_0_1900, plain, (hBOOL(hAPP(hAPP(c_lessequals(tc_fun(X1,tc_bool)),X2),X2)))).
% 0.40/1.01 cnf(i_0_1294, plain, (hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(X1,tc_bool)),X2),X2)=X2)).
% 0.40/1.01 cnf(i_0_1835, plain, (hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(X1,tc_bool)),X2),X2)=X2)).
% 0.40/1.01 cnf(i_0_1238, plain, (hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(tc_nat),X1),c_Suc(X1))))).
% 0.40/1.01 cnf(i_0_1775, plain, (hBOOL(hAPP(hAPP(c_lessequals(tc_fun(X1,tc_bool)),c_Orderings_Obot__class_Obot(tc_fun(X1,tc_bool))),X2)))).
% 0.40/1.01 cnf(i_0_1776, plain, (c_Fun_Oinj__on(X1,c_Orderings_Obot__class_Obot(tc_fun(X2,tc_bool)),X2,X3))).
% 0.40/1.01 cnf(i_0_1996, plain, (hBOOL(c_in(X1,c_Set_Oinsert(X1,X2,X3),X3)))).
% 0.40/1.01 cnf(i_0_1513, plain, (hAPP(c_HOL_Ouminus__class_Ouminus(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)))).
% 0.40/1.01 cnf(i_0_1773, 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)))).
% 0.40/1.01 cnf(i_0_2014, 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)))).
% 0.40/1.01 cnf(i_0_1512, plain, (hAPP(c_HOL_Ouminus__class_Ouminus(tc_fun(X1,tc_bool)),c_Orderings_Otop__class_Otop(tc_fun(X1,tc_bool)))=c_Orderings_Obot__class_Obot(tc_fun(X1,tc_bool)))).
% 0.40/1.01 cnf(i_0_1774, 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)).
% 0.40/1.01 cnf(i_0_1771, 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)).
% 0.40/1.01 cnf(i_0_1772, 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)).
% 0.40/1.01 cnf(i_0_1606, 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)))).
% 0.40/1.01 cnf(i_0_1770, 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)))).
% 0.40/1.01 cnf(i_0_1607, 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)))).
% 0.40/1.01 cnf(i_0_1765, plain, (c_Set_Ovimage(X1,c_Orderings_Obot__class_Obot(tc_fun(X2,tc_bool)),X3,X2)=c_Orderings_Obot__class_Obot(tc_fun(X3,tc_bool)))).
% 0.40/1.01 cnf(i_0_1249, plain, (c_Fun_Ofun__upd(X1,X2,hAPP(X1,X2),X3,X4)=X1)).
% 0.40/1.01 cnf(i_0_1886, plain, (hBOOL(hAPP(hAPP(c_lessequals(tc_fun(X1,tc_bool)),X2),c_Orderings_Otop__class_Otop(tc_fun(X1,tc_bool)))))).
% 0.40/1.01 cnf(i_0_1250, plain, (hAPP(c_Fun_Ofun__upd(X1,X2,X3,X4,X5),X2)=X3)).
% 0.40/1.01 cnf(i_0_1991, plain, (c_Set_Oinsert(X1,c_Set_Oinsert(X1,X2,X3),X3)=c_Set_Oinsert(X1,X2,X3))).
% 0.40/1.01 cnf(i_0_1564, plain, (hAPP(c_HOL_Ouminus__class_Ouminus(tc_fun(X1,tc_bool)),hAPP(c_HOL_Ouminus__class_Ouminus(tc_fun(X1,tc_bool)),X2))=X2)).
% 0.40/1.01 cnf(i_0_1095, 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)).
% 0.40/1.01 cnf(i_0_1094, 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)).
% 0.40/1.01 cnf(i_0_1884, 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)))).
% 0.40/1.01 cnf(i_0_1608, plain, (c_Finite__Set_Ofold__graph(X1,X2,c_Orderings_Obot__class_Obot(tc_fun(X3,tc_bool)),X2,X3,X4))).
% 0.40/1.01 cnf(i_0_1609, plain, (c_Nitpick_Ofold__graph_H(X1,X2,c_Orderings_Obot__class_Obot(tc_fun(X3,tc_bool)),X2,X3,X4))).
% 0.40/1.01 cnf(i_0_1846, plain, (c_Set_Ovimage(X1,c_Orderings_Otop__class_Otop(tc_fun(X2,tc_bool)),X3,X2)=c_Orderings_Otop__class_Otop(tc_fun(X3,tc_bool)))).
% 0.40/1.01 cnf(i_0_1921, plain, (hAPP(c_Finite__Set_Ofold1(X1,X2),c_Set_Oinsert(X3,c_Orderings_Obot__class_Obot(tc_fun(X2,tc_bool)),X2))=X3)).
% 0.40/1.01 cnf(i_0_1603, plain, (hAPP(hAPP(c_Finite__Set_Ofold(X1,X2,X3),X4),c_Orderings_Obot__class_Obot(tc_fun(X2,tc_bool)))=X4)).
% 0.40/1.01 cnf(i_0_1786, plain, (hBOOL(hAPP(hAPP(c_lessequals(tc_fun(X1,tc_bool)),X2),c_Set_Oinsert(X3,X2,X1))))).
% 0.40/1.01 cnf(i_0_2002, plain, (hAPP(c_COMBB(X1,X2,X3,X4,X5),X6)=hAPP(X1,hAPP(X2,X6)))).
% 0.40/1.01 cnf(i_0_2022, negated_conjecture, (c_Hoare__Mirabelle_Ohoare__derivs(v_G,c_Set_Oinsert(hAPP(hAPP(hAPP(c_Hoare__Mirabelle_Otriple_Otriple(t_b),hAPP(v_P_H,v_x)),hAPP(v_c0,v_x)),hAPP(v_Q_H,v_x)),c_Set_Oimage(c_COMBS(c_COMBS(c_COMBB(c_Hoare__Mirabelle_Otriple_Otriple(t_b),v_P_H,tc_fun(t_b,tc_fun(tc_Com_Ostate,tc_bool)),tc_fun(tc_Com_Ocom,tc_fun(tc_fun(t_b,tc_fun(tc_Com_Ostate,tc_bool)),tc_Hoare__Mirabelle_Otriple(t_b))),t_a),v_c0,t_a,tc_Com_Ocom,tc_fun(tc_fun(t_b,tc_fun(tc_Com_Ostate,tc_bool)),tc_Hoare__Mirabelle_Otriple(t_b))),v_Q_H,t_a,tc_fun(t_b,tc_fun(tc_Com_Ostate,tc_bool)),tc_Hoare__Mirabelle_Otriple(t_b)),v_F,t_a,tc_Hoare__Mirabelle_Otriple(t_b)),tc_Hoare__Mirabelle_Otriple(t_b)),t_b))).
% 0.40/1.01 cnf(i_0_1850, 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)))).
% 0.40/1.01 cnf(i_0_1849, 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)))).
% 0.40/1.01 cnf(i_0_1077, plain, (hAPP(hAPP(c_HOL_Ominus__class_Ominus(tc_nat),c_Suc(X1)),c_Suc(X2))=hAPP(hAPP(c_HOL_Ominus__class_Ominus(tc_nat),X1),X2))).
% 0.40/1.01 cnf(i_0_1388, plain, (hBOOL(hAPP(hAPP(c_lessequals(tc_nat),hAPP(hAPP(c_HOL_Ominus__class_Ominus(tc_nat),X1),X2)),X1)))).
% 0.40/1.01 cnf(i_0_1342, plain, (hAPP(hAPP(c_COMBC(X1,X2,X3,X4),X5),X6)=hAPP(hAPP(X1,X6),X5))).
% 0.40/1.01 cnf(i_0_1215, plain, (hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(tc_nat),hAPP(hAPP(c_HOL_Ominus__class_Ominus(tc_nat),X1),X2)),c_Suc(X1))))).
% 0.40/1.01 cnf(i_0_1534, plain, (hAPP(hAPP(c_HOL_Ominus__class_Ominus(tc_fun(X1,tc_bool)),c_Orderings_Otop__class_Otop(tc_fun(X1,tc_bool))),X2)=hAPP(c_HOL_Ouminus__class_Ouminus(tc_fun(X1,tc_bool)),X2))).
% 0.40/1.01 cnf(i_0_1820, 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))))).
% 0.40/1.01 cnf(i_0_1664, 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))))).
% 0.40/1.01 cnf(i_0_1654, 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)))).
% 0.40/1.01 cnf(i_0_1273, 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)))).
% 0.40/1.01 cnf(i_0_1272, 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)))).
% 0.40/1.01 cnf(i_0_1525, plain, (hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(X1,tc_bool)),X2),hAPP(c_HOL_Ouminus__class_Ouminus(tc_fun(X1,tc_bool)),X2))=c_Orderings_Otop__class_Otop(tc_fun(X1,tc_bool)))).
% 0.40/1.01 cnf(i_0_1809, plain, (hBOOL(c_in(hAPP(X1,X2),c_Set_Oimage(X1,c_Orderings_Otop__class_Otop(tc_fun(X3,tc_bool)),X3,X4),X4)))).
% 0.40/1.01 cnf(i_0_1521, 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)))).
% 0.40/1.01 cnf(i_0_1816, plain, (hBOOL(hAPP(c_Set_Oinsert(X1,c_Orderings_Obot__class_Obot(tc_fun(X2,tc_bool)),X2),c_Nitpick_Osko__Nitpick__XEx1__def__1__3(c_Set_Oinsert(X1,c_Orderings_Obot__class_Obot(tc_fun(X2,tc_bool)),X2),X2))))).
% 0.40/1.01 cnf(i_0_1958, plain, (c_Hoare__Mirabelle_Ohoare__derivs(X1,c_Set_Oinsert(hAPP(hAPP(hAPP(c_Hoare__Mirabelle_Otriple_Otriple(X2),X3),c_Com_Ocom_OSKIP),X3),c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(X2),tc_bool)),tc_Hoare__Mirabelle_Otriple(X2)),X2))).
% 0.40/1.01 cnf(i_0_1091, plain, (c_Fun_Ofun__upd(c_Fun_Ofun__upd(X1,X2,X3,X4,X5),X2,X6,X4,X5)=c_Fun_Ofun__upd(X1,X2,X6,X4,X5))).
% 0.40/1.01 cnf(i_0_1364, plain, (hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(X1,tc_bool)),X2),hAPP(c_HOL_Ouminus__class_Ouminus(tc_fun(X1,tc_bool)),X3))=hAPP(hAPP(c_HOL_Ominus__class_Ominus(tc_fun(X1,tc_bool)),X2),X3))).
% 0.40/1.01 cnf(i_0_1549, plain, (hAPP(hAPP(c_HOL_Ominus__class_Ominus(tc_fun(X1,tc_bool)),X2),hAPP(c_HOL_Ouminus__class_Ouminus(tc_fun(X1,tc_bool)),X3))=hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(X1,tc_bool)),X2),X3))).
% 0.40/1.01 cnf(i_0_1950, plain, (hBOOL(c_in(X1,c_Set_Ovimage(X2,c_Set_Oinsert(hAPP(X2,X1),c_Orderings_Obot__class_Obot(tc_fun(X3,tc_bool)),X3),X4,X3),X4)))).
% 0.40/1.01 cnf(i_0_1787, plain, (c_Set_Oinsert(X1,hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(X2,tc_bool)),X3),X4),X2)=hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(X2,tc_bool)),X3),c_Set_Oinsert(X1,X4,X2)))).
% 0.40/1.01 cnf(i_0_1788, plain, (hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(X1,tc_bool)),c_Set_Oinsert(X2,X3,X1)),X4)=hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(X1,tc_bool)),X3),c_Set_Oinsert(X2,X4,X1)))).
% 0.40/1.01 cnf(i_0_1842, plain, (hBOOL(hAPP(hAPP(c_lessequals(tc_fun(X1,tc_bool)),c_Set_Oimage(X2,c_Set_Ovimage(X2,X3,X4,X1),X4,X1)),X3)))).
% 0.40/1.01 cnf(i_0_1923, plain, (c_Set_Oinsert(X1,hAPP(hAPP(c_HOL_Ominus__class_Ominus(tc_fun(X2,tc_bool)),X3),c_Set_Oinsert(X1,c_Orderings_Obot__class_Obot(tc_fun(X2,tc_bool)),X2)),X2)=c_Set_Oinsert(X1,X3,X2))).
% 0.40/1.01 cnf(i_0_1290, 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))).
% 0.40/1.01 cnf(i_0_1649, 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))).
% 0.40/1.01 cnf(i_0_1643, 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))).
% 0.40/1.01 cnf(i_0_1832, 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))).
% 0.40/1.01 cnf(i_0_1529, plain, (hAPP(c_HOL_Ouminus__class_Ouminus(tc_fun(X1,tc_bool)),hAPP(hAPP(c_HOL_Ominus__class_Ominus(tc_fun(X1,tc_bool)),X2),X3))=hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(X1,tc_bool)),hAPP(c_HOL_Ouminus__class_Ouminus(tc_fun(X1,tc_bool)),X2)),X3))).
% 0.40/1.01 cnf(i_0_1530, 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_HOL_Ominus__class_Ominus(tc_fun(X1,tc_bool)),X2),X3))=X2)).
% 0.40/1.01 cnf(i_0_1613, plain, (hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(X1,tc_bool)),c_Set_Oinsert(X2,X3,X1)),c_Set_Oinsert(X2,X4,X1))=c_Set_Oinsert(X2,hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(X1,tc_bool)),X3),X4),X1))).
% 0.40/1.01 cnf(i_0_1418, plain, (hAPP(hAPP(c_HOL_Ominus__class_Ominus(tc_nat),hAPP(hAPP(c_HOL_Ominus__class_Ominus(tc_nat),c_Suc(X1)),X2)),c_Suc(X3))=hAPP(hAPP(c_HOL_Ominus__class_Ominus(tc_nat),hAPP(hAPP(c_HOL_Ominus__class_Ominus(tc_nat),X1),X2)),X3))).
% 0.40/1.01 cnf(i_0_1319, 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)))).
% 0.40/1.01 cnf(i_0_1071, 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)))).
% 0.40/1.01 cnf(i_0_1826, 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)))).
% 0.40/1.01 cnf(i_0_1427, plain, (hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(X1,tc_bool)),hAPP(c_HOL_Ouminus__class_Ouminus(tc_fun(X1,tc_bool)),X2)),hAPP(c_HOL_Ouminus__class_Ouminus(tc_fun(X1,tc_bool)),X3))=hAPP(c_HOL_Ouminus__class_Ouminus(tc_fun(X1,tc_bool)),hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(X1,tc_bool)),X2),X3)))).
% 0.40/1.01 cnf(i_0_1437, plain, (hAPP(hAPP(c_HOL_Ominus__class_Ominus(tc_fun(X1,tc_bool)),hAPP(c_HOL_Ouminus__class_Ouminus(tc_fun(X1,tc_bool)),X2)),X3)=hAPP(c_HOL_Ouminus__class_Ouminus(tc_fun(X1,tc_bool)),hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(X1,tc_bool)),X2),X3)))).
% 0.40/1.01 cnf(i_0_1792, plain, (hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(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_Lattices_Oupper__semilattice__class_Osup(tc_fun(X4,tc_bool)),X3),X5),X4,X1))).
% 0.40/1.01 cnf(i_0_1819, 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)),c_Set_Oinsert(X4,c_Orderings_Obot__class_Obot(tc_fun(X1,tc_bool)),X1))=hAPP(hAPP(c_HOL_Ominus__class_Ominus(tc_fun(X1,tc_bool)),X2),c_Set_Oinsert(X4,X3,X1)))).
% 0.40/1.01 cnf(i_0_1818, 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),c_Set_Oinsert(X3,c_Orderings_Obot__class_Obot(tc_fun(X1,tc_bool)),X1))),X4)=hAPP(hAPP(c_HOL_Ominus__class_Ominus(tc_fun(X1,tc_bool)),X2),c_Set_Oinsert(X3,X4,X1)))).
% 0.40/1.01 cnf(i_0_1841, plain, (hAPP(hAPP(c_HOL_Ominus__class_Ominus(tc_fun(X1,tc_bool)),c_Set_Ovimage(X2,X3,X1,X4)),c_Set_Ovimage(X2,X5,X1,X4))=c_Set_Ovimage(X2,hAPP(hAPP(c_HOL_Ominus__class_Ominus(tc_fun(X4,tc_bool)),X3),X5),X1,X4))).
% 0.40/1.01 cnf(i_0_1575, plain, (hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(X1,tc_bool)),c_Set_Ovimage(X2,X3,X1,X4)),c_Set_Ovimage(X2,X5,X1,X4))=c_Set_Ovimage(X2,hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(X4,tc_bool)),X3),X5),X1,X4))).
% 0.40/1.01 cnf(i_0_1640, plain, (hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(X1,tc_bool)),c_Set_Ovimage(X2,X3,X1,X4)),c_Set_Ovimage(X2,X5,X1,X4))=c_Set_Ovimage(X2,hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(X4,tc_bool)),X3),X5),X1,X4))).
% 0.40/1.01 cnf(i_0_1532, 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)))).
% 0.40/1.01 cnf(i_0_1088, 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),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)))).
% 0.40/1.01 cnf(i_0_1207, 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)))).
% 0.40/1.01 cnf(i_0_1283, 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)))).
% 0.40/1.01 cnf(i_0_1647, 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)),X4),X3))=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),X4)),X3))).
% 0.40/1.01 cnf(i_0_1206, 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)),X4),X3))=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)),X3))).
% 0.40/1.02 cnf(i_0_1284, 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)),X4),X3))=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)),X3))).
% 0.40/1.02 cnf(i_0_1096, 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)),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)),X4),X3)))).
% 0.40/1.02 cnf(i_0_1089, 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),hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(X1,tc_bool)),X4),X3)))=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)))).
% 0.40/1.02 cnf(i_0_1531, 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)),hAPP(hAPP(c_HOL_Ominus__class_Ominus(tc_fun(X1,tc_bool)),X2),X3)),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)),X4),X3)))).
% 0.40/1.02 cnf(i_0_1516, 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)))))).
% 0.40/1.02 cnf(i_0_1828, 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))))).
% 0.40/1.02 cnf(i_0_1389, 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_Olower__semilattice__class_Oinf(tc_fun(X1,tc_bool)),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_Olower__semilattice__class_Oinf(tc_fun(X1,tc_bool)),X2),X3)),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)),X3),X4)),hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(X1,tc_bool)),X4),X2))))).
% 0.40/1.02 cnf(i_0_1383, 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))).
% 0.40/1.02 cnf(i_0_1646, 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))).
% 0.40/1.02 cnf(i_0_1999, plain, (c_Set_Oinsert(X1,c_Set_Oinsert(X2,X3,X4),X4)=c_Set_Oinsert(X2,c_Set_Oinsert(X1,X3,X4),X4))).
% 0.40/1.02 cnf(i_0_2003, plain, (hAPP(c_COMBS(X1,X2,X3,X4,X5),X6)=hAPP(hAPP(X1,X6),hAPP(X2,X6)))).
% 0.40/1.02 cnf(i_0_1968, plain, (c_Set_Oimage(X1,c_Set_Oinsert(X2,X3,X4),X4,X5)=c_Set_Oinsert(hAPP(X1,X2),c_Set_Oimage(X1,X3,X4,X5),X5))).
% 0.40/1.02 cnf(i_0_1718, plain, (c_Finite__Set_Ocard(c_Set_Oinsert(X1,c_Orderings_Obot__class_Obot(tc_fun(X2,tc_bool)),X2),X2)=c_Suc(c_Finite__Set_Ocard(c_Orderings_Obot__class_Obot(tc_fun(X2,tc_bool)),X2)))).
% 0.40/1.02 cnf(i_0_1966, plain, (c_Set_Oimage(X1,c_Set_Oimage(X2,X3,X4,X5),X5,X6)=c_Set_Oimage(c_COMBB(X1,X2,X5,X6,X4),X3,X4,X6))).
% 0.40/1.02 cnf(i_0_1400, plain, (c_Set_Ovimage(X1,hAPP(c_HOL_Ouminus__class_Ouminus(tc_fun(X2,tc_bool)),X3),X4,X2)=hAPP(c_HOL_Ouminus__class_Ouminus(tc_fun(X4,tc_bool)),c_Set_Ovimage(X1,X3,X4,X2)))).
% 0.40/1.02 cnf(i_0_1397, plain, (hAPP(hAPP(c_HOL_Ominus__class_Ominus(tc_nat),hAPP(hAPP(c_HOL_Ominus__class_Ominus(tc_nat),X1),X2)),X3)=hAPP(hAPP(c_HOL_Ominus__class_Ominus(tc_nat),hAPP(hAPP(c_HOL_Ominus__class_Ominus(tc_nat),X1),X3)),X2))).
% 0.40/1.02 cnf(i_0_1632, plain, (c_Set_Oimage(X1,c_Set_Ovimage(X1,X2,X3,X4),X3,X4)=hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(X4,tc_bool)),X2),c_Set_Oimage(X1,c_Orderings_Otop__class_Otop(tc_fun(X3,tc_bool)),X3,X4)))).
% 0.40/1.02 cnf(i_0_1072, 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)))).
% 0.40/1.02 cnf(i_0_1827, 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)))).
% 0.40/1.02 cnf(i_0_2021, negated_conjecture, (~hBOOL(c_in(v_x,v_F,t_a)))).
% 0.40/1.02 cnf(i_0_1292, plain, (c_Suc(X1)!=X1)).
% 0.40/1.02 cnf(i_0_1918, plain, (c_Com_Ocom_OSemi(X1,X2)!=c_Com_Ocom_OSKIP)).
% 0.40/1.02 cnf(i_0_1985, plain, (~hBOOL(hAPP(c_Orderings_Obot__class_Obot(tc_fun(X1,tc_bool)),X2)))).
% 0.40/1.02 cnf(i_0_1769, plain, (c_Orderings_Otop__class_Otop(tc_fun(X1,tc_bool))!=c_Orderings_Obot__class_Obot(tc_fun(X1,tc_bool)))).
% 0.40/1.02 cnf(i_0_1970, plain, (~hBOOL(c_in(X1,c_Orderings_Obot__class_Obot(tc_fun(X2,tc_bool)),X2)))).
% 0.40/1.02 cnf(i_0_1100, plain, (~hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(tc_nat),X1),X1)))).
% 0.40/1.02 cnf(i_0_1992, plain, (c_Set_Oinsert(X1,X2,X3)!=c_Orderings_Obot__class_Obot(tc_fun(X3,tc_bool)))).
% 0.40/1.02 cnf(i_0_1099, plain, (~hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(tc_fun(X1,tc_bool)),X2),X2)))).
% 0.40/1.02 cnf(i_0_1285, plain, (~hBOOL(hAPP(hAPP(c_lessequals(tc_nat),c_Suc(X1)),X1)))).
% 0.40/1.02 cnf(i_0_1604, plain, (~hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(tc_fun(X1,tc_bool)),X2),c_Orderings_Obot__class_Obot(tc_fun(X1,tc_bool)))))).
% 0.40/1.02 cnf(i_0_2023, negated_conjecture, (~c_Hoare__Mirabelle_Ohoare__derivs(v_G,c_Set_Oinsert(hAPP(hAPP(hAPP(c_Hoare__Mirabelle_Otriple_Otriple(t_b),hAPP(v_P,v_x)),hAPP(v_c0,v_x)),hAPP(v_Q,v_x)),c_Set_Oimage(c_COMBS(c_COMBS(c_COMBB(c_Hoare__Mirabelle_Otriple_Otriple(t_b),v_P,tc_fun(t_b,tc_fun(tc_Com_Ostate,tc_bool)),tc_fun(tc_Com_Ocom,tc_fun(tc_fun(t_b,tc_fun(tc_Com_Ostate,tc_bool)),tc_Hoare__Mirabelle_Otriple(t_b))),t_a),v_c0,t_a,tc_Com_Ocom,tc_fun(tc_fun(t_b,tc_fun(tc_Com_Ostate,tc_bool)),tc_Hoare__Mirabelle_Otriple(t_b))),v_Q,t_a,tc_fun(t_b,tc_fun(tc_Com_Ostate,tc_bool)),tc_Hoare__Mirabelle_Otriple(t_b)),v_F,t_a,tc_Hoare__Mirabelle_Otriple(t_b)),tc_Hoare__Mirabelle_Otriple(t_b)),t_b))).
% 0.40/1.02 cnf(i_0_1048, plain, (X1=X2|c_Suc(X1)!=c_Suc(X2))).
% 0.40/1.02 cnf(i_0_2015, plain, (c_Finite__Set_Ofinite(X1,X2)|~class_Finite__Set_Ofinite_Ofinite(X2))).
% 0.40/1.02 cnf(i_0_1994, plain, (hAPP(c_Orderings_Obot__class_Obot(tc_fun(t_a,X1)),v_x)=c_Orderings_Obot__class_Obot(X1)|~class_Orderings_Obot(X1))).
% 0.40/1.02 cnf(i_0_1237, plain, (c_Orderings_Oord__class_Omin(X1)=c_Lattices_Olower__semilattice__class_Oinf(X1)|~class_Lattices_Olower__semilattice(X1)|~class_Orderings_Olinorder(X1))).
% 0.40/1.02 cnf(i_0_1073, plain, (c_Orderings_Oord__class_Omax(X1)=c_Lattices_Oupper__semilattice__class_Osup(X1)|~class_Lattices_Oupper__semilattice(X1)|~class_Orderings_Olinorder(X1))).
% 0.40/1.02 cnf(i_0_1844, plain, (X1=X2|c_Com_Ocom_OSemi(X3,X1)!=c_Com_Ocom_OSemi(X4,X2))).
% 0.40/1.02 cnf(i_0_1845, plain, (X1=X2|c_Com_Ocom_OSemi(X1,X3)!=c_Com_Ocom_OSemi(X2,X4))).
% 0.40/1.02 cnf(i_0_2034, plain, (class_Lattices_Olattice(tc_fun(X1,X2))|~class_Lattices_Olattice(X2))).
% 0.40/1.02 cnf(i_0_2001, plain, (hBOOL(hAPP(X1,X2))|~hBOOL(c_in(X2,X1,X3)))).
% 0.40/1.02 cnf(i_0_1143, plain, (c_OrderedGroup_Oab__semigroup__idem__mult(c_Orderings_Oord__class_Omin(X1),X1)|~class_Orderings_Olinorder(X1))).
% 0.40/1.02 cnf(i_0_2028, plain, (class_Lattices_Olower__semilattice(tc_fun(X1,X2))|~class_Lattices_Olattice(X2))).
% 0.40/1.02 cnf(i_0_1104, plain, (~hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(X1),X2),X2))|~class_Orderings_Olinorder(X1))).
% 0.40/1.02 cnf(i_0_1103, plain, (~class_Orderings_Oorder(X1)|~hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(X1),X2),X2)))).
% 0.40/1.02 cnf(i_0_1105, plain, (~class_Orderings_Opreorder(X1)|~hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(X1),X2),X2)))).
% 0.40/1.02 cnf(i_0_1317, plain, (c_OrderedGroup_Oab__semigroup__idem__mult(c_Lattices_Olower__semilattice__class_Oinf(X1),X1)|~class_Lattices_Olower__semilattice(X1))).
% 0.40/1.02 cnf(i_0_2027, plain, (class_Lattices_Oupper__semilattice(tc_fun(X1,X2))|~class_Lattices_Olattice(X2))).
% 0.40/1.02 cnf(i_0_1867, plain, (hAPP(c_Orderings_Otop__class_Otop(tc_fun(t_a,X1)),v_x)=c_Orderings_Otop__class_Otop(X1)|~class_Orderings_Otop(X1))).
% 0.40/1.02 cnf(i_0_2030, plain, (class_Lattices_Obounded__lattice(tc_fun(X1,X2))|~class_Lattices_Obounded__lattice(X2))).
% 0.40/1.02 cnf(i_0_2035, plain, (class_Orderings_Oorder(tc_fun(X1,X2))|~class_Orderings_Oorder(X2))).
% 0.40/1.02 cnf(i_0_1205, plain, (c_OrderedGroup_Oab__semigroup__idem__mult(c_Lattices_Oupper__semilattice__class_Osup(X1),X1)|~class_Lattices_Oupper__semilattice(X1))).
% 0.40/1.02 cnf(i_0_2033, plain, (class_Orderings_Opreorder(tc_fun(X1,X2))|~class_Orderings_Opreorder(X2))).
% 0.40/1.02 cnf(i_0_1056, plain, (c_OrderedGroup_Oab__semigroup__idem__mult(c_Orderings_Oord__class_Omax(X1),X1)|~class_Orderings_Olinorder(X1))).
% 0.40/1.02 cnf(i_0_2040, plain, (class_HOL_Oord(tc_fun(X1,X2))|~class_HOL_Oord(X2))).
% 0.40/1.02 cnf(i_0_2031, plain, (class_Lattices_Oboolean__algebra(tc_fun(X1,X2))|~class_Lattices_Oboolean__algebra(X2))).
% 0.40/1.02 cnf(i_0_2029, plain, (class_Lattices_Odistrib__lattice(tc_fun(X1,X2))|~class_Lattices_Odistrib__lattice(X2))).
% 0.40/1.02 cnf(i_0_2026, plain, (class_Complete__Lattice_Ocomplete__lattice(tc_fun(X1,X2))|~class_Complete__Lattice_Ocomplete__lattice(X2))).
% 0.40/1.02 cnf(i_0_2038, plain, (class_HOL_Ouminus(tc_fun(X1,X2))|~class_HOL_Ouminus(X2))).
% 0.40/1.02 cnf(i_0_2039, plain, (class_HOL_Ominus(tc_fun(X1,X2))|~class_HOL_Ominus(X2))).
% 0.40/1.02 cnf(i_0_2037, plain, (class_Orderings_Obot(tc_fun(X1,X2))|~class_Orderings_Obot(X2))).
% 0.40/1.02 cnf(i_0_2036, plain, (class_Orderings_Otop(tc_fun(X1,X2))|~class_Orderings_Otop(X2))).
% 0.40/1.02 cnf(i_0_1536, plain, (c_Finite__Set_Ofold1(c_Orderings_Oord__class_Omax(X1),X1)=c_Finite__Set_Olinorder__class_OMax(X1)|~class_Orderings_Olinorder(X1))).
% 0.40/1.02 cnf(i_0_1989, plain, (c_Finite__Set_Ofinite(X1,X2)|~c_Finite__Set_Ofinite(c_Set_Oinsert(X3,X1,X2),X2))).
% 0.40/1.02 cnf(i_0_1597, plain, (c_Finite__Set_Ofinite(X1,X2)|~c_Finite__Set_Ofold__graph(X3,X4,X1,X5,X2,X6))).
% 0.40/1.02 cnf(i_0_1254, plain, (c_OrderedGroup_Oab__semigroup__idem__mult(X1,X2)|~c_Lattices_Olower__semilattice(X3,X4,X1,X2))).
% 0.40/1.02 cnf(i_0_2082, plain, (X1=X2|~hBOOL(hAPP(hAPP(c_fequal(X3),X1),X2)))).
% 0.40/1.02 cnf(i_0_2000, plain, (hBOOL(c_in(X1,X2,X3))|~hBOOL(hAPP(X2,X1)))).
% 0.40/1.02 cnf(i_0_1537, plain, (c_Finite__Set_Ofold1(c_Orderings_Oord__class_Omin(X1),X1)=c_Finite__Set_Olinorder__class_OMin(X1)|~class_Orderings_Olinorder(X1))).
% 0.40/1.02 cnf(i_0_2032, plain, (class_Finite__Set_Ofinite_Ofinite(tc_fun(X1,X2))|~class_Finite__Set_Ofinite_Ofinite(X2)|~class_Finite__Set_Ofinite_Ofinite(X1))).
% 0.40/1.02 cnf(i_0_2013, plain, (c_Set_Oinsert(X1,X2,X3)=X2|~hBOOL(c_in(X1,X2,X3)))).
% 0.40/1.02 cnf(i_0_1557, plain, (hAPP(X1,X2)=X3|c_Fun_Ofun__upd(X1,X2,X3,X4,X5)!=X1)).
% 0.40/1.02 cnf(i_0_1961, plain, (c_Hoare__Mirabelle_Ohoare__derivs(X1,X2,X3)|~c_Hoare__Mirabelle_Ohoare__derivs(X1,c_Set_Oinsert(X4,X2,tc_Hoare__Mirabelle_Otriple(X3)),X3))).
% 0.40/1.02 cnf(i_0_1507, plain, (hAPP(c_HOL_Ouminus__class_Ouminus(X1),c_Orderings_Obot__class_Obot(X1))=c_Orderings_Otop__class_Otop(X1)|~class_Lattices_Oboolean__algebra(X1))).
% 0.40/1.02 cnf(i_0_1314, plain, (c_SetInterval_Oord__class_OatLeastLessThan(X1,X2,X3)!=c_Orderings_Obot__class_Obot(tc_fun(X3,tc_bool))|~class_Orderings_Oorder(X3)|~hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(X3),X1),X2)))).
% 0.40/1.02 cnf(i_0_1909, plain, (c_SetInterval_Oord__class_OatLeastAtMost(X1,X2,X3)!=c_Orderings_Obot__class_Obot(tc_fun(X3,tc_bool))|~class_Orderings_Oorder(X3)|~hBOOL(hAPP(hAPP(c_lessequals(X3),X1),X2)))).
% 0.40/1.02 cnf(i_0_1195, plain, (c_SetInterval_Oord__class_OgreaterThanAtMost(X1,X2,X3)!=c_Orderings_Obot__class_Obot(tc_fun(X3,tc_bool))|~class_Orderings_Oorder(X3)|~hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(X3),X1),X2)))).
% 0.40/1.02 cnf(i_0_1768, 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)))))).
% 0.40/1.02 cnf(i_0_1963, plain, (X1=c_Orderings_Obot__class_Obot(tc_fun(X2,tc_bool))|c_Set_Oimage(X3,X1,X2,X4)!=c_Orderings_Obot__class_Obot(tc_fun(X4,tc_bool)))).
% 0.40/1.02 cnf(i_0_1506, plain, (hAPP(c_HOL_Ouminus__class_Ouminus(X1),c_Orderings_Otop__class_Otop(X1))=c_Orderings_Obot__class_Obot(X1)|~class_Lattices_Oboolean__algebra(X1))).
% 0.40/1.02 cnf(i_0_1605, plain, (X1=X2|~c_Finite__Set_Ofold__graph(X3,X2,c_Orderings_Obot__class_Obot(tc_fun(X4,tc_bool)),X1,X4,X5))).
% 0.40/1.02 cnf(i_0_1988, plain, (c_Finite__Set_Ofinite(c_Set_Oinsert(X1,X2,X3),X3)|~c_Finite__Set_Ofinite(X2,X3))).
% 0.40/1.02 cnf(i_0_1777, plain, (X1=c_Orderings_Obot__class_Obot(tc_fun(X2,tc_bool))|hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(X2,tc_bool)),X3),X1)!=c_Orderings_Obot__class_Obot(tc_fun(X2,tc_bool)))).
% 0.40/1.02 cnf(i_0_1778, plain, (X1=c_Orderings_Obot__class_Obot(tc_fun(X2,tc_bool))|hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(X2,tc_bool)),X1),X3)!=c_Orderings_Obot__class_Obot(tc_fun(X2,tc_bool)))).
% 0.40/1.02 cnf(i_0_1107, plain, (hAPP(hAPP(c_Orderings_Oord__class_Omin(X1),X2),X2)=X2|~class_Orderings_Olinorder(X1))).
% 0.40/1.02 cnf(i_0_1791, plain, (c_Fun_Oinj__on(X1,X2,X3,X4)|~c_Fun_Oinj__on(X1,c_Set_Oinsert(X5,X2,X3),X3,X4))).
% 0.40/1.02 cnf(i_0_1927, 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))).
% 0.40/1.02 cnf(i_0_1108, plain, (X1=X2|hAPP(c_HOL_Ouminus__class_Ouminus(X3),X1)!=hAPP(c_HOL_Ouminus__class_Ouminus(X3),X2)|~class_Lattices_Oboolean__algebra(X3))).
% 0.40/1.02 cnf(i_0_1109, plain, (X1=X2|hAPP(c_HOL_Ouminus__class_Ouminus(X3),X1)!=hAPP(c_HOL_Ouminus__class_Ouminus(X3),X2)|~class_OrderedGroup_Ogroup__add(X3))).
% 0.40/1.02 cnf(i_0_1995, plain, (X1=X2|~hBOOL(c_in(X1,c_Set_Oinsert(X2,c_Orderings_Obot__class_Obot(tc_fun(X3,tc_bool)),X3),X3)))).
% 0.40/1.02 cnf(i_0_1751, 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))).
% 0.40/1.02 cnf(i_0_1752, 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))).
% 0.40/1.02 cnf(i_0_1320, plain, (hAPP(hAPP(c_HOL_Otimes__class_Otimes(X1),X2),X2)=X2|~class_OrderedGroup_Oab__semigroup__idem__mult(X1))).
% 0.40/1.02 cnf(i_0_1590, plain, (~hBOOL(c_in(X1,hAPP(c_HOL_Ouminus__class_Ouminus(tc_fun(X2,tc_bool)),X3),X2))|~hBOOL(c_in(X1,X3,X2)))).
% 0.40/1.02 cnf(i_0_1546, plain, (~hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(tc_nat),X1),c_Suc(X2)))|~hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(tc_nat),X2),X1)))).
% 0.40/1.02 cnf(i_0_1402, plain, (~hBOOL(hAPP(hAPP(c_lessequals(tc_nat),c_Suc(X1)),X2))|~hBOOL(hAPP(hAPP(c_lessequals(tc_nat),X2),X1)))).
% 0.40/1.02 cnf(i_0_1346, plain, (~hBOOL(hAPP(hAPP(c_lessequals(X1),X2),X3))|~hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(X1),X3),X2))|~class_Orderings_Olinorder(X1))).
% 0.40/1.02 cnf(i_0_1293, plain, (hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(X1),X2),X2)=X2|~class_Lattices_Olower__semilattice(X1))).
% 0.40/1.02 cnf(i_0_1124, plain, (hAPP(hAPP(c_Orderings_Oord__class_Omax(X1),X2),X2)=X2|~class_Orderings_Olinorder(X1))).
% 0.40/1.02 cnf(i_0_1351, plain, (~class_Orderings_Opreorder(X1)|~hBOOL(hAPP(hAPP(c_lessequals(X1),X2),X3))|~hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(X1),X3),X2)))).
% 0.40/1.02 cnf(i_0_1762, plain, (X1=c_Orderings_Obot__class_Obot(X2)|hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(X2),X3),X1)!=c_Orderings_Obot__class_Obot(X2)|~class_Lattices_Obounded__lattice(X2))).
% 0.40/1.02 cnf(i_0_1889, plain, (c_Complete__Lattice_OInf__class_OInf(c_Orderings_Obot__class_Obot(tc_fun(X1,tc_bool)),X1)=c_Orderings_Otop__class_Otop(X1)|~class_Complete__Lattice_Ocomplete__lattice(X1))).
% 0.40/1.02 cnf(i_0_1555, plain, (hBOOL(hAPP(X1,X2))|~hBOOL(hAPP(hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(X3,tc_bool)),X4),X1),X2)))).
% 0.40/1.02 cnf(i_0_1556, plain, (hBOOL(hAPP(X1,X2))|~hBOOL(hAPP(hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(X3,tc_bool)),X1),X4),X2)))).
% 0.40/1.02 cnf(i_0_1834, plain, (hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(X1),X2),X2)=X2|~class_Lattices_Oupper__semilattice(X1))).
% 0.40/1.02 cnf(i_0_1865, plain, (c_Complete__Lattice_OInf__class_OInf(c_Orderings_Otop__class_Otop(tc_fun(X1,tc_bool)),X1)=c_Orderings_Obot__class_Obot(X1)|~class_Complete__Lattice_Ocomplete__lattice(X1))).
% 0.40/1.02 cnf(i_0_1761, plain, (X1=c_Orderings_Obot__class_Obot(X2)|hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(X2),X1),X3)!=c_Orderings_Obot__class_Obot(X2)|~class_Lattices_Obounded__lattice(X2))).
% 0.40/1.02 cnf(i_0_1114, plain, (hAPP(hAPP(X1,X2),X2)=X2|~c_OrderedGroup_Oab__semigroup__idem__mult(X1,X3))).
% 0.40/1.02 cnf(i_0_1969, 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))).
% 0.40/1.02 cnf(i_0_1983, plain, (c_Finite__Set_Ofinite(c_Set_Oimage(X1,X2,X3,X4),X4)|~c_Finite__Set_Ofinite(X2,X3))).
% 0.40/1.02 cnf(i_0_2010, plain, (hBOOL(hAPP(c_Set_Oinsert(X1,X2,X3),X4))|~hBOOL(hAPP(X2,X4)))).
% 0.40/1.02 cnf(i_0_1567, plain, (hAPP(c_HOL_Ouminus__class_Ouminus(X1),hAPP(c_HOL_Ouminus__class_Ouminus(X1),X2))=X2|~class_OrderedGroup_Ogroup__add(X1))).
% 0.40/1.02 cnf(i_0_1905, plain, (hBOOL(hAPP(hAPP(c_lessequals(X1),X2),X2))|~class_Orderings_Oorder(X1))).
% 0.40/1.02 cnf(i_0_1990, plain, (X1=X2|hBOOL(hAPP(X3,X1))|~hBOOL(hAPP(c_Set_Oinsert(X2,X3,X4),X1)))).
% 0.40/1.02 cnf(i_0_1083, plain, (X1=c_Orderings_Otop__class_Otop(X2)|hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(X2),X3),X1)!=c_Orderings_Otop__class_Otop(X2)|~class_Lattices_Obounded__lattice(X2))).
% 0.40/1.02 cnf(i_0_1084, plain, (X1=c_Orderings_Otop__class_Otop(X2)|hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(X2),X1),X3)!=c_Orderings_Otop__class_Otop(X2)|~class_Lattices_Obounded__lattice(X2))).
% 0.40/1.02 cnf(i_0_1732, plain, (~hBOOL(c_in(X1,hAPP(hAPP(c_HOL_Ominus__class_Ominus(tc_fun(X2,tc_bool)),X3),X4),X2))|~hBOOL(c_in(X1,X4,X2)))).
% 0.40/1.02 cnf(i_0_1906, plain, (hBOOL(hAPP(hAPP(c_lessequals(X1),X2),X2))|~class_Orderings_Opreorder(X1))).
% 0.40/1.02 cnf(i_0_1911, plain, (hBOOL(hAPP(X1,hAPP(X2,X3)))|~hBOOL(hAPP(c_Set_Ovimage(X2,X1,X4,X5),X3)))).
% 0.40/1.02 cnf(i_0_1172, plain, (hAPP(hAPP(X1,X2),X2)=X2|~c_Lattices_Olower__semilattice(X3,X4,X1,X5))).
% 0.40/1.02 cnf(i_0_1756, plain, (c_Finite__Set_Ofinite(X1,X2)|~c_Finite__Set_Ofinite(hAPP(hAPP(c_HOL_Ominus__class_Ominus(tc_fun(X2,tc_bool)),X1),X3),X2)|~c_Finite__Set_Ofinite(X3,X2))).
% 0.40/1.02 cnf(i_0_1782, plain, (c_Fun_Oinj__on(X1,X2,X3,X4)|c_Finite__Set_Ocard(c_Set_Oimage(X1,X2,X3,X4),X4)!=c_Finite__Set_Ocard(X2,X3)|~c_Finite__Set_Ofinite(X2,X3))).
% 0.40/1.02 cnf(i_0_1110, plain, (X1=X2|hAPP(c_HOL_Ouminus__class_Ouminus(tc_fun(X3,tc_bool)),X1)!=hAPP(c_HOL_Ouminus__class_Ouminus(tc_fun(X3,tc_bool)),X2))).
% 0.40/1.02 cnf(i_0_1129, plain, (hBOOL(hAPP(hAPP(c_lessequals(tc_nat),X1),X2))|~hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(tc_nat),X1),X2)))).
% 0.40/1.02 cnf(i_0_1566, plain, (hAPP(c_HOL_Ouminus__class_Ouminus(X1),hAPP(c_HOL_Ouminus__class_Ouminus(X1),X2))=X2|~class_Lattices_Oboolean__algebra(X1))).
% 0.40/1.02 cnf(i_0_1462, plain, (~hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(X1),X2),X3))|~hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(X1),X3),X2))|~class_Orderings_Olinorder(X1))).
% 0.40/1.02 cnf(i_0_1461, plain, (~class_Orderings_Oorder(X1)|~hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(X1),X2),X3))|~hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(X1),X3),X2)))).
% 0.40/1.02 cnf(i_0_1464, plain, (~class_Orderings_Opreorder(X1)|~hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(X1),X2),X3))|~hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(X1),X3),X2)))).
% 0.40/1.02 cnf(i_0_1760, plain, (hBOOL(hAPP(hAPP(c_lessequals(X1),c_Orderings_Obot__class_Obot(X1)),X2))|~class_Orderings_Obot(X1))).
% 0.40/1.02 cnf(i_0_2006, plain, (X1=X2|c_Set_Oinsert(X1,c_Orderings_Obot__class_Obot(tc_fun(X3,tc_bool)),X3)!=c_Set_Oinsert(X2,c_Orderings_Obot__class_Obot(tc_fun(X3,tc_bool)),X3))).
% 0.40/1.02 cnf(i_0_1130, plain, (hBOOL(hAPP(hAPP(c_lessequals(tc_fun(X1,tc_bool)),X2),X3))|~hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(tc_fun(X1,tc_bool)),X2),X3)))).
% 0.40/1.02 cnf(i_0_1321, plain, (X1=X2|~hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(tc_nat),X1),c_Suc(X2)))|~hBOOL(hAPP(hAPP(c_lessequals(tc_nat),X2),X1)))).
% 0.40/1.02 cnf(i_0_1984, plain, (X1=X2|hBOOL(c_in(X1,X3,X4))|~hBOOL(c_in(X1,c_Set_Oinsert(X2,X3,X4),X4)))).
% 0.40/1.02 cnf(i_0_1859, plain, (X1=X2|hAPP(X3,X1)!=hAPP(X3,X2)|~c_Fun_Oinj__on(X3,c_Orderings_Otop__class_Otop(tc_fun(X4,tc_bool)),X4,X5))).
% 0.40/1.02 cnf(i_0_1498, plain, (X1=c_Orderings_Obot__class_Obot(tc_fun(X2,tc_bool))|~hBOOL(hAPP(hAPP(c_lessequals(tc_fun(X2,tc_bool)),X1),hAPP(c_HOL_Ouminus__class_Ouminus(tc_fun(X2,tc_bool)),X1))))).
% 0.40/1.02 cnf(i_0_1759, plain, (hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(X1),X2),c_Orderings_Obot__class_Obot(X1))=X2|~class_Lattices_Obounded__lattice(X1))).
% 0.40/1.02 cnf(i_0_1350, plain, (~class_HOL_Oord(X1)|~hBOOL(hAPP(hAPP(c_lessequals(tc_fun(X2,X1)),X3),X4))|~hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(tc_fun(X2,X1)),X4),X3)))).
% 0.40/1.02 cnf(i_0_1743, plain, (hBOOL(c_in(hAPP(X1,X2),X3,X4))|~hBOOL(c_in(X2,c_Set_Ovimage(X1,X3,X5,X4),X5)))).
% 0.40/1.02 cnf(i_0_1405, plain, (X1=X2|hAPP(hAPP(c_HOL_Oplus__class_Oplus(X3),X4),X1)!=hAPP(hAPP(c_HOL_Oplus__class_Oplus(X3),X4),X2)|~class_OrderedGroup_Ocancel__ab__semigroup__add(X3))).
% 0.40/1.02 cnf(i_0_1758, plain, (hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(X1),c_Orderings_Obot__class_Obot(X1)),X2)=X2|~class_Lattices_Obounded__lattice(X1))).
% 0.40/1.02 cnf(i_0_1601, 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))).
% 0.40/1.02 cnf(i_0_1600, 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))).
% 0.40/1.02 cnf(i_0_1878, 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)).
% 0.40/1.02 cnf(i_0_1092, plain, (hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(X1),X2),c_Orderings_Otop__class_Otop(X1))=X2|~class_Lattices_Obounded__lattice(X1))).
% 0.40/1.02 cnf(i_0_1406, plain, (X1=X2|hAPP(hAPP(c_HOL_Oplus__class_Oplus(X3),X4),X1)!=hAPP(hAPP(c_HOL_Oplus__class_Oplus(X3),X4),X2)|~class_OrderedGroup_Ocancel__semigroup__add(X3))).
% 0.40/1.02 cnf(i_0_1830, plain, (X1=X2|hAPP(hAPP(c_HOL_Ominus__class_Ominus(X3),X4),X4)!=hAPP(hAPP(c_HOL_Ominus__class_Ominus(X3),X1),X2)|~class_OrderedGroup_Oab__group__add(X3))).
% 0.40/1.02 cnf(i_0_1407, plain, (X1=X2|hAPP(hAPP(c_HOL_Oplus__class_Oplus(X3),X1),X4)!=hAPP(hAPP(c_HOL_Oplus__class_Oplus(X3),X2),X4)|~class_OrderedGroup_Ocancel__semigroup__add(X3))).
% 0.40/1.02 cnf(i_0_1211, plain, (hBOOL(hAPP(hAPP(c_lessequals(tc_nat),X1),X2))|~hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(tc_nat),X1),c_Suc(X2))))).
% 0.40/1.02 cnf(i_0_1277, plain, (hBOOL(hAPP(hAPP(c_lessequals(tc_nat),X1),X2))|~hBOOL(hAPP(hAPP(c_lessequals(tc_nat),c_Suc(X1)),X2)))).
% 0.40/1.02 cnf(i_0_1157, plain, (hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(tc_nat),X1),X2))|~hBOOL(hAPP(hAPP(c_lessequals(tc_nat),c_Suc(X1)),X2)))).
% 0.40/1.02 cnf(i_0_1847, 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))).
% 0.40/1.02 cnf(i_0_1093, plain, (hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(X1),c_Orderings_Otop__class_Otop(X1)),X2)=X2|~class_Lattices_Obounded__lattice(X1))).
% 0.40/1.02 cnf(i_0_1639, 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))).
% 0.40/1.02 cnf(i_0_1638, 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))).
% 0.40/1.02 cnf(i_0_1339, plain, (hBOOL(hAPP(hAPP(c_lessequals(X1),X2),X3))|hAPP(hAPP(c_Orderings_Oord__class_Omin(X1),X2),X3)!=X2|~class_Orderings_Olinorder(X1))).
% 0.40/1.02 cnf(i_0_1225, plain, (hBOOL(hAPP(hAPP(c_lessequals(X1),X2),X3))|hAPP(hAPP(c_Orderings_Oord__class_Omax(X1),X2),X3)!=X3|~class_Orderings_Olinorder(X1))).
% 0.40/1.02 cnf(i_0_1322, plain, (hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(tc_nat),X1),X2))|~hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(tc_nat),c_Suc(X1)),X2)))).
% 0.40/1.02 cnf(i_0_1757, 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))).
% 0.40/1.02 cnf(i_0_1598, 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))).
% 0.40/1.02 cnf(i_0_1599, 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))).
% 0.40/1.02 cnf(i_0_1848, 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))).
% 0.40/1.02 cnf(i_0_1887, plain, (hBOOL(hAPP(hAPP(c_lessequals(X1),X2),c_Orderings_Otop__class_Otop(X1)))|~class_Orderings_Otop(X1))).
% 0.40/1.02 cnf(i_0_1748, 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)))).
% 0.40/1.02 cnf(i_0_1117, plain, (X1=X2|~hBOOL(hAPP(hAPP(c_lessequals(tc_nat),X2),X1))|~hBOOL(hAPP(hAPP(c_lessequals(tc_nat),X1),X2)))).
% 0.40/1.02 cnf(i_0_1733, 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)))).
% 0.40/1.02 cnf(i_0_1592, 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)))).
% 0.40/1.02 cnf(i_0_1593, 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)))).
% 0.40/1.02 cnf(i_0_1800, plain, (hBOOL(c_in(X1,X2,X3))|~hBOOL(hAPP(hAPP(c_lessequals(tc_fun(X3,tc_bool)),c_Set_Oinsert(X1,X4,X3)),X2)))).
% 0.40/1.02 cnf(i_0_1192, plain, (hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(X1),X2),hAPP(c_HOL_Ouminus__class_Ouminus(X1),X2))=c_Orderings_Obot__class_Obot(X1)|~class_Lattices_Oboolean__algebra(X1))).
% 0.40/1.02 cnf(i_0_1964, plain, (hBOOL(c_in(X1,c_Set_Oinsert(X2,X3,X4),X4))|~hBOOL(c_in(X1,X3,X4)))).
% 0.40/1.02 cnf(i_0_1375, 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))).
% 0.40/1.02 cnf(i_0_1874, 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))).
% 0.40/1.02 cnf(i_0_1926, plain, (c_Complete__Lattice_OInf__class_OInf(c_Set_Oinsert(X1,c_Orderings_Obot__class_Obot(tc_fun(X2,tc_bool)),X2),X2)=X1|~class_Complete__Lattice_Ocomplete__lattice(X2))).
% 0.40/1.02 cnf(i_0_1861, plain, (hBOOL(hAPP(hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(X1,tc_bool)),X2),X3),X4))|~hBOOL(hAPP(X3,X4)))).
% 0.40/1.02 cnf(i_0_1862, plain, (hBOOL(hAPP(hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(X1,tc_bool)),X2),X3),X4))|~hBOOL(hAPP(X2,X4)))).
% 0.40/1.02 cnf(i_0_2025, negated_conjecture, (c_Hoare__Mirabelle_Ohoare__derivs(v_G,c_Set_Oimage(c_COMBS(c_COMBS(c_COMBB(c_Hoare__Mirabelle_Otriple_Otriple(t_b),v_P,tc_fun(t_b,tc_fun(tc_Com_Ostate,tc_bool)),tc_fun(tc_Com_Ocom,tc_fun(tc_fun(t_b,tc_fun(tc_Com_Ostate,tc_bool)),tc_Hoare__Mirabelle_Otriple(t_b))),t_a),v_c0,t_a,tc_Com_Ocom,tc_fun(tc_fun(t_b,tc_fun(tc_Com_Ostate,tc_bool)),tc_Hoare__Mirabelle_Otriple(t_b))),v_Q,t_a,tc_fun(t_b,tc_fun(tc_Com_Ostate,tc_bool)),tc_Hoare__Mirabelle_Otriple(t_b)),v_F,t_a,tc_Hoare__Mirabelle_Otriple(t_b)),t_b)|~c_Hoare__Mirabelle_Ohoare__derivs(v_G,c_Set_Oimage(c_COMBS(c_COMBS(c_COMBB(c_Hoare__Mirabelle_Otriple_Otriple(t_b),v_P_H,tc_fun(t_b,tc_fun(tc_Com_Ostate,tc_bool)),tc_fun(tc_Com_Ocom,tc_fun(tc_fun(t_b,tc_fun(tc_Com_Ostate,tc_bool)),tc_Hoare__Mirabelle_Otriple(t_b))),t_a),v_c0,t_a,tc_Com_Ocom,tc_fun(tc_fun(t_b,tc_fun(tc_Com_Ostate,tc_bool)),tc_Hoare__Mirabelle_Otriple(t_b))),v_Q_H,t_a,tc_fun(t_b,tc_fun(tc_Com_Ostate,tc_bool)),tc_Hoare__Mirabelle_Otriple(t_b)),v_F,t_a,tc_Hoare__Mirabelle_Otriple(t_b)),t_b))).
% 0.40/1.02 cnf(i_0_1519, plain, (hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(X1),X2),hAPP(c_HOL_Ouminus__class_Ouminus(X1),X2))=c_Orderings_Otop__class_Otop(X1)|~class_Lattices_Oboolean__algebra(X1))).
% 0.40/1.02 cnf(i_0_1133, plain, (hBOOL(hAPP(hAPP(c_lessequals(X1),X2),X3))|~class_Orderings_Oorder(X1)|~hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(X1),X2),X3)))).
% 0.40/1.02 cnf(i_0_1134, plain, (hBOOL(hAPP(hAPP(c_lessequals(X1),X2),X3))|~class_Orderings_Opreorder(X1)|~hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(X1),X2),X3)))).
% 0.40/1.02 cnf(i_0_1928, plain, (c_Finite__Set_Ofinite(X1,X2)|~c_Finite__Set_Ofinite(X3,X4)|~hBOOL(hAPP(hAPP(c_lessequals(tc_fun(X2,tc_bool)),X1),c_Set_Oimage(X5,X3,X4,X2))))).
% 0.40/1.02 cnf(i_0_1404, plain, (X1=X2|hAPP(hAPP(c_HOL_Oplus__class_Oplus(X3),X4),X1)!=hAPP(hAPP(c_HOL_Oplus__class_Oplus(X3),X4),X2)|~class_Int_Onumber__ring(X3)|~class_Ring__and__Field_Oidom(X3))).
% 0.40/1.02 cnf(i_0_1860, plain, (hBOOL(hAPP(X1,X2))|hBOOL(hAPP(X3,X2))|~hBOOL(hAPP(hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(X4,tc_bool)),X3),X1),X2)))).
% 0.40/1.02 cnf(i_0_1907, plain, (hBOOL(hAPP(X1,X2))|~hBOOL(hAPP(hAPP(c_lessequals(tc_fun(X3,tc_bool)),X4),X1))|~hBOOL(hAPP(X4,X2)))).
% 0.40/1.02 cnf(i_0_1857, plain, (hAPP(hAPP(X1,X2),X3)=hAPP(hAPP(X1,X3),X2)|~c_OrderedGroup_Oab__semigroup__mult(X1,X4))).
% 0.40/1.02 cnf(i_0_1922, plain, (hAPP(c_Finite__Set_Olinorder__class_OMax(X1),c_Set_Oinsert(X2,c_Orderings_Obot__class_Obot(tc_fun(X1,tc_bool)),X1))=X2|~class_Orderings_Olinorder(X1))).
% 0.40/1.02 cnf(i_0_1478, plain, (c_SetInterval_Oord__class_OatLeastLessThan(X1,X2,X3)=c_Orderings_Obot__class_Obot(tc_fun(X3,tc_bool))|~class_Orderings_Oorder(X3)|~hBOOL(hAPP(hAPP(c_lessequals(X3),X2),X1)))).
% 0.40/1.02 cnf(i_0_1505, plain, (c_SetInterval_Oord__class_OatLeastAtMost(X1,X2,X3)=c_Orderings_Obot__class_Obot(tc_fun(X3,tc_bool))|~class_Orderings_Oorder(X3)|~hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(X3),X2),X1)))).
% 0.40/1.02 cnf(i_0_1477, plain, (c_SetInterval_Oord__class_OgreaterThanAtMost(X1,X2,X3)=c_Orderings_Obot__class_Obot(tc_fun(X3,tc_bool))|~class_Orderings_Oorder(X3)|~hBOOL(hAPP(hAPP(c_lessequals(X3),X2),X1)))).
% 0.40/1.02 cnf(i_0_1912, plain, (hBOOL(hAPP(c_Set_Ovimage(X1,X2,X3,X4),X5))|~hBOOL(hAPP(X2,hAPP(X1,X5))))).
% 0.40/1.02 cnf(i_0_1817, plain, (hAPP(c_Finite__Set_Olinorder__class_OMin(X1),c_Set_Oinsert(X2,c_Orderings_Obot__class_Obot(tc_fun(X1,tc_bool)),X1))=X2|~class_Orderings_Olinorder(X1))).
% 0.40/1.02 cnf(i_0_2024, negated_conjecture, (c_Hoare__Mirabelle_Ohoare__derivs(v_G,c_Set_Oinsert(hAPP(hAPP(hAPP(c_Hoare__Mirabelle_Otriple_Otriple(t_b),hAPP(v_P,X1)),hAPP(v_c0,X1)),hAPP(v_Q,X1)),c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(t_b),tc_bool)),tc_Hoare__Mirabelle_Otriple(t_b)),t_b)|~c_Hoare__Mirabelle_Ohoare__derivs(v_G,c_Set_Oinsert(hAPP(hAPP(hAPP(c_Hoare__Mirabelle_Otriple_Otriple(t_b),hAPP(v_P_H,X1)),hAPP(v_c0,X1)),hAPP(v_Q_H,X1)),c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(t_b),tc_bool)),tc_Hoare__Mirabelle_Otriple(t_b)),t_b))).
% 0.40/1.02 cnf(i_0_1279, plain, (hAPP(hAPP(c_HOL_Ouminus__class_Ouminus(tc_fun(t_a,X1)),X2),v_x)=hAPP(c_HOL_Ouminus__class_Ouminus(X1),hAPP(X2,v_x))|~class_HOL_Ouminus(X1))).
% 0.40/1.02 cnf(i_0_1870, plain, (X1=X2|~class_Orderings_Oorder(X3)|~hBOOL(hAPP(hAPP(c_lessequals(X3),X2),X1))|~hBOOL(hAPP(hAPP(c_lessequals(X3),X1),X2)))).
% 0.40/1.02 cnf(i_0_1975, plain, (X1=X2|hAPP(hAPP(hAPP(c_Hoare__Mirabelle_Otriple_Otriple(X3),X4),X5),X1)!=hAPP(hAPP(hAPP(c_Hoare__Mirabelle_Otriple_Otriple(X3),X6),X7),X2))).
% 0.40/1.02 cnf(i_0_1326, plain, (hAPP(c_Fun_Ofun__upd(X1,X2,X3,X4,X5),X6)=hAPP(X1,X6)|X2=X6)).
% 0.40/1.02 cnf(i_0_1373, 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)))).
% 0.40/1.02 cnf(i_0_1372, 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)))).
% 0.40/1.02 cnf(i_0_1876, 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)))).
% 0.40/1.02 cnf(i_0_1877, 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)))).
% 0.40/1.02 cnf(i_0_1386, plain, (hAPP(hAPP(c_Orderings_Oord__class_Omin(X1),X2),X3)=hAPP(hAPP(c_Orderings_Oord__class_Omin(X1),X3),X2)|~class_Orderings_Olinorder(X1))).
% 0.40/1.02 cnf(i_0_1976, plain, (X1=X2|hAPP(hAPP(hAPP(c_Hoare__Mirabelle_Otriple_Otriple(X3),X4),X1),X5)!=hAPP(hAPP(hAPP(c_Hoare__Mirabelle_Otriple_Otriple(X3),X6),X2),X7))).
% 0.40/1.02 cnf(i_0_1977, plain, (X1=X2|hAPP(hAPP(hAPP(c_Hoare__Mirabelle_Otriple_Otriple(X3),X1),X4),X5)!=hAPP(hAPP(hAPP(c_Hoare__Mirabelle_Otriple_Otriple(X3),X2),X6),X7))).
% 0.40/1.02 cnf(i_0_1913, plain, (c_Finite__Set_Ocard(c_Set_Oimage(X1,X2,X3,X4),X4)=c_Finite__Set_Ocard(X2,X3)|~c_Fun_Oinj__on(X1,X2,X3,X4))).
% 0.40/1.02 cnf(i_0_1340, plain, (hAPP(hAPP(c_Orderings_Oord__class_Omin(X1),X2),X3)=X3|~hBOOL(hAPP(hAPP(c_lessequals(X1),X3),X2))|~class_Orderings_Olinorder(X1))).
% 0.40/1.02 cnf(i_0_1924, plain, (c_SetInterval_Oord__class_OatLeastAtMost(X1,X1,X2)=c_Set_Oinsert(X1,c_Orderings_Obot__class_Obot(tc_fun(X2,tc_bool)),X2)|~class_Orderings_Oorder(X2))).
% 0.40/1.02 cnf(i_0_1448, plain, (hBOOL(hAPP(hAPP(c_lessequals(tc_nat),X1),X2))|~hBOOL(hAPP(hAPP(c_lessequals(tc_nat),c_Suc(X1)),c_Suc(X2))))).
% 0.40/1.02 cnf(i_0_1577, plain, (hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(tc_nat),X1),X2))|~hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(tc_nat),c_Suc(X1)),c_Suc(X2))))).
% 0.40/1.02 cnf(i_0_1278, plain, (hBOOL(hAPP(hAPP(c_lessequals(tc_nat),X1),c_Suc(X2)))|~hBOOL(hAPP(hAPP(c_lessequals(tc_nat),X1),X2)))).
% 0.40/1.02 cnf(i_0_1210, plain, (hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(tc_nat),X1),c_Suc(X2)))|~hBOOL(hAPP(hAPP(c_lessequals(tc_nat),X1),X2)))).
% 0.40/1.02 cnf(i_0_1148, plain, (hAPP(hAPP(c_HOL_Oplus__class_Oplus(X1),X2),X3)=hAPP(hAPP(c_HOL_Oplus__class_Oplus(X1),X3),X2)|~class_OrderedGroup_Ocomm__monoid__add(X1))).
% 0.40/1.02 cnf(i_0_1338, plain, (hAPP(hAPP(c_Orderings_Oord__class_Omin(X1),X2),X3)=X2|~hBOOL(hAPP(hAPP(c_lessequals(X1),X2),X3))|~class_Orderings_Olinorder(X1))).
% 0.40/1.02 cnf(i_0_1224, plain, (hAPP(hAPP(c_Orderings_Oord__class_Omax(X1),X2),X3)=X3|~hBOOL(hAPP(hAPP(c_lessequals(X1),X2),X3))|~class_Orderings_Olinorder(X1))).
% 0.40/1.02 cnf(i_0_1226, plain, (hAPP(hAPP(c_Orderings_Oord__class_Omax(X1),X2),X3)=X2|~hBOOL(hAPP(hAPP(c_lessequals(X1),X3),X2))|~class_Orderings_Olinorder(X1))).
% 0.40/1.02 cnf(i_0_1947, plain, (c_Finite__Set_Ocard(c_Set_Oinsert(X1,X2,X3),X3)=c_Finite__Set_Ocard(X2,X3)|~c_Finite__Set_Ofinite(X2,X3)|~hBOOL(c_in(X1,X2,X3)))).
% 0.40/1.02 cnf(i_0_1323, plain, (hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(tc_nat),X1),c_Suc(X2)))|~hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(tc_nat),X1),X2)))).
% 0.40/1.02 cnf(i_0_1158, plain, (hBOOL(hAPP(hAPP(c_lessequals(tc_nat),c_Suc(X1)),X2))|~hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(tc_nat),X1),X2)))).
% 0.40/1.02 cnf(i_0_1147, plain, (hAPP(hAPP(c_HOL_Oplus__class_Oplus(X1),X2),X3)=hAPP(hAPP(c_HOL_Oplus__class_Oplus(X1),X3),X2)|~class_Ring__and__Field_Ocomm__semiring__1(X1))).
% 0.40/1.02 cnf(i_0_1863, plain, (X1=X2|c_Set_Oimage(X3,X1,X4,X5)!=c_Set_Oimage(X3,X2,X4,X5)|~c_Fun_Oinj__on(X3,c_Orderings_Otop__class_Otop(tc_fun(X4,tc_bool)),X4,X5))).
% 0.40/1.02 cnf(i_0_1949, plain, (hAPP(X1,X2)=X3|~hBOOL(c_in(X2,c_Set_Ovimage(X1,c_Set_Oinsert(X3,c_Orderings_Obot__class_Obot(tc_fun(X4,tc_bool)),X4),X5,X4),X5)))).
% 0.40/1.02 cnf(i_0_1376, 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)))).
% 0.40/1.02 cnf(i_0_1374, 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)))).
% 0.40/1.02 cnf(i_0_1547, plain, (hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(tc_nat),X1),c_Suc(X2)))|hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(tc_nat),X2),X1)))).
% 0.40/1.02 cnf(i_0_1510, plain, (c_Finite__Set_Ofinite(c_Orderings_Otop__class_Otop(tc_fun(X1,tc_bool)),X1)|~c_Finite__Set_Ofinite(hAPP(c_HOL_Ouminus__class_Ouminus(tc_fun(X1,tc_bool)),X2),X1)|~c_Finite__Set_Ofinite(X2,X1))).
% 0.40/1.02 cnf(i_0_1522, 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)))).
% 0.40/1.02 cnf(i_0_1868, 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)))).
% 0.40/1.02 cnf(i_0_1875, 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)))).
% 0.40/1.02 cnf(i_0_1873, 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)))).
% 0.40/1.02 cnf(i_0_1476, plain, (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))|~hBOOL(c_in(X4,X2,X1))|~hBOOL(c_in(X4,X3,X1)))).
% 0.40/1.02 cnf(i_0_1784, 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))))).
% 0.40/1.02 cnf(i_0_1403, plain, (hBOOL(hAPP(hAPP(c_lessequals(tc_nat),c_Suc(X1)),X2))|hBOOL(hAPP(hAPP(c_lessequals(tc_nat),X2),X1)))).
% 0.40/1.02 cnf(i_0_1790, plain, (hBOOL(hAPP(hAPP(c_lessequals(tc_fun(X1,tc_bool)),X2),X3))|~hBOOL(hAPP(hAPP(c_lessequals(tc_fun(X1,tc_bool)),c_Set_Oinsert(X4,X2,X1)),X3)))).
% 0.40/1.02 cnf(i_0_1753, 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))).
% 0.40/1.02 cnf(i_0_1213, 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))).
% 0.40/1.02 cnf(i_0_1589, plain, (hBOOL(c_in(X1,hAPP(c_HOL_Ouminus__class_Ouminus(tc_fun(X2,tc_bool)),X3),X2))|hBOOL(c_in(X1,X3,X2)))).
% 0.40/1.02 cnf(i_0_1851, plain, (X1=X2|c_Set_Oimage(X3,X1,X4,X5)!=c_Set_Oimage(X3,X2,X4,X5)|~c_Fun_Oinj__on(X3,hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(X4,tc_bool)),X1),X2),X4,X5))).
% 0.40/1.02 cnf(i_0_1740, plain, (hBOOL(c_in(X1,c_Set_Ovimage(X2,X3,X4,X5),X4))|~hBOOL(c_in(hAPP(X2,X1),X3,X5)))).
% 0.40/1.02 cnf(i_0_1191, plain, (hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(X1),hAPP(c_HOL_Ouminus__class_Ouminus(X1),X2)),X2)=c_Orderings_Obot__class_Obot(X1)|~class_Lattices_Oboolean__algebra(X1))).
% 0.40/1.02 cnf(i_0_1337, plain, (X1=X2|hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(tc_nat),X1),X2))|~hBOOL(hAPP(hAPP(c_lessequals(tc_nat),X1),X2)))).
% 0.40/1.02 cnf(i_0_1433, plain, (X1=hAPP(c_HOL_Ouminus__class_Ouminus(X2),X3)|hAPP(hAPP(c_HOL_Oplus__class_Oplus(X2),X1),hAPP(hAPP(c_HOL_Oplus__class_Oplus(X2),X4),X3))!=X4|~class_OrderedGroup_Oab__group__add(X2))).
% 0.40/1.02 cnf(i_0_1651, plain, (X1=c_Orderings_Otop__class_Otop(tc_fun(X2,tc_bool))|c_Finite__Set_Ocard(X1,X2)!=c_Finite__Set_Ocard(c_Orderings_Otop__class_Otop(tc_fun(X2,tc_bool)),X2)|~c_Finite__Set_Ofinite(c_Orderings_Otop__class_Otop(tc_fun(X2,tc_bool)),X2))).
% 0.40/1.02 cnf(i_0_1081, plain, (X1=X2|hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(tc_nat),X2),X1))|~hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(tc_nat),X2),c_Suc(X1))))).
% 0.40/1.02 cnf(i_0_1511, plain, (c_Finite__Set_Ofinite(hAPP(c_HOL_Ouminus__class_Ouminus(tc_fun(X1,tc_bool)),X2),X1)|~c_Finite__Set_Ofinite(c_Orderings_Otop__class_Otop(tc_fun(X1,tc_bool)),X1)|~c_Finite__Set_Ofinite(X2,X1))).
% 0.40/1.02 cnf(i_0_1325, 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)))).
% 0.40/1.02 cnf(i_0_1385, 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))).
% 0.40/1.02 cnf(i_0_1313, plain, (c_SetInterval_Oord__class_OatLeastLessThan(X1,X2,X3)=c_Orderings_Obot__class_Obot(tc_fun(X3,tc_bool))|hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(X3),X1),X2))|~class_Orderings_Oorder(X3))).
% 0.40/1.02 cnf(i_0_1045, plain, (hAPP(hAPP(X1,X2),X3)=X3|~c_Lattices_Olower__semilattice(X4,X5,X1,X6)|~hBOOL(hAPP(hAPP(X4,X3),X2)))).
% 0.40/1.02 cnf(i_0_1047, plain, (hAPP(hAPP(X1,X2),X3)=X2|~c_Lattices_Olower__semilattice(X4,X5,X1,X6)|~hBOOL(hAPP(hAPP(X4,X2),X3)))).
% 0.40/1.02 cnf(i_0_1908, plain, (c_SetInterval_Oord__class_OatLeastAtMost(X1,X2,X3)=c_Orderings_Obot__class_Obot(tc_fun(X3,tc_bool))|hBOOL(hAPP(hAPP(c_lessequals(X3),X1),X2))|~class_Orderings_Oorder(X3))).
% 0.40/1.02 cnf(i_0_1336, plain, (X1=X2|hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(tc_fun(X3,tc_bool)),X1),X2))|~hBOOL(hAPP(hAPP(c_lessequals(tc_fun(X3,tc_bool)),X1),X2)))).
% 0.40/1.02 cnf(i_0_1384, 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))).
% 0.40/1.02 cnf(i_0_1196, plain, (c_SetInterval_Oord__class_OgreaterThanAtMost(X1,X2,X3)=c_Orderings_Obot__class_Obot(tc_fun(X3,tc_bool))|hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(X3),X1),X2))|~class_Orderings_Oorder(X3))).
% 0.40/1.02 cnf(i_0_1046, plain, (hBOOL(hAPP(hAPP(X1,X2),X3))|hAPP(hAPP(X4,X2),X3)!=X2|~c_Lattices_Olower__semilattice(X1,X5,X4,X6))).
% 0.40/1.02 cnf(i_0_1257, plain, (hBOOL(hAPP(hAPP(X1,X2),X3))|~c_Lattices_Olower__semilattice(X1,X4,X5,X6)|~hBOOL(hAPP(hAPP(X1,X2),hAPP(hAPP(X5,X7),X3))))).
% 0.40/1.02 cnf(i_0_1258, plain, (hBOOL(hAPP(hAPP(X1,X2),X3))|~c_Lattices_Olower__semilattice(X1,X4,X5,X6)|~hBOOL(hAPP(hAPP(X1,X2),hAPP(hAPP(X5,X3),X7))))).
% 0.40/1.02 cnf(i_0_1560, plain, (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))|~hBOOL(hAPP(hAPP(c_lessequals(tc_fun(X1,tc_bool)),X2),hAPP(c_HOL_Ouminus__class_Ouminus(tc_fun(X1,tc_bool)),X3))))).
% 0.40/1.02 cnf(i_0_1644, 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))).
% 0.40/1.02 cnf(i_0_1836, plain, (c_Finite__Set_Ofinite(c_Set_Ovimage(X1,X2,X3,X4),X3)|~c_Fun_Oinj__on(X1,c_Orderings_Otop__class_Otop(tc_fun(X3,tc_bool)),X3,X4)|~c_Finite__Set_Ofinite(X2,X4))).
% 0.40/1.02 cnf(i_0_1625, plain, (X1=X2|~c_Finite__Set_Ofinite(X2,X3)|~hBOOL(hAPP(hAPP(c_lessequals(tc_nat),c_Finite__Set_Ocard(X2,X3)),c_Finite__Set_Ocard(X1,X3)))|~hBOOL(hAPP(hAPP(c_lessequals(tc_fun(X3,tc_bool)),X1),X2)))).
% 0.40/1.02 cnf(i_0_1903, 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)))).
% 0.40/1.02 cnf(i_0_1729, 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)))).
% 0.40/1.02 cnf(i_0_1728, 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)))).
% 0.40/1.02 cnf(i_0_1645, 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))).
% 0.40/1.02 cnf(i_0_1520, plain, (hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(X1),hAPP(c_HOL_Ouminus__class_Ouminus(X1),X2)),X2)=c_Orderings_Otop__class_Otop(X1)|~class_Lattices_Oboolean__algebra(X1))).
% 0.40/1.02 cnf(i_0_1880, plain, (hBOOL(hAPP(hAPP(c_lessequals(X1),c_Complete__Lattice_OInf__class_OInf(X2,X1)),X3))|~class_Complete__Lattice_Ocomplete__lattice(X1)|~hBOOL(c_in(X3,X2,X1)))).
% 0.40/1.02 cnf(i_0_1734, plain, (X1=X2|hAPP(X3,X1)!=hAPP(X3,X2)|~c_Fun_Oinj__on(X3,X4,X5,X6)|~hBOOL(c_in(X2,X4,X5))|~hBOOL(c_in(X1,X4,X5)))).
% 0.40/1.02 cnf(i_0_1363, plain, (hAPP(hAPP(c_Orderings_Oord__class_Omin(X1),X2),hAPP(hAPP(c_Orderings_Oord__class_Omax(X1),X2),X3))=X2|~class_Orderings_Olinorder(X1))).
% 0.40/1.02 cnf(i_0_1449, plain, (hBOOL(hAPP(hAPP(c_lessequals(tc_nat),c_Suc(X1)),c_Suc(X2)))|~hBOOL(hAPP(hAPP(c_lessequals(tc_nat),X1),X2)))).
% 0.40/1.02 cnf(i_0_1576, plain, (hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(tc_nat),c_Suc(X1)),c_Suc(X2)))|~hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(tc_nat),X1),X2)))).
% 0.40/1.02 cnf(i_0_1410, 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))))).
% 0.40/1.02 cnf(i_0_1430, plain, (hAPP(hAPP(c_Orderings_Oord__class_Omax(X1),X2),X3)=hAPP(hAPP(c_Orderings_Oord__class_Omax(X1),X3),X2)|~class_Orderings_Olinorder(X1))).
% 0.40/1.02 cnf(i_0_1540, plain, (hAPP(hAPP(c_Orderings_Oord__class_Omax(X1),X2),hAPP(hAPP(c_Orderings_Oord__class_Omin(X1),X2),X3))=X2|~class_Orderings_Olinorder(X1))).
% 0.40/1.02 cnf(i_0_1914, plain, (c_Set_Ovimage(c_COMBK(X1,X2,X3),X4,X3,X2)=c_Orderings_Otop__class_Otop(tc_fun(X3,tc_bool))|~hBOOL(c_in(X1,X4,X2)))).
% 0.40/1.02 cnf(i_0_1043, plain, (hBOOL(hAPP(hAPP(c_lessequals(X1),X2),X3))|~hBOOL(hAPP(hAPP(c_lessequals(X1),X2),hAPP(hAPP(c_Orderings_Oord__class_Omin(X1),X4),X3)))|~class_Orderings_Olinorder(X1))).
% 0.40/1.02 cnf(i_0_1411, 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))))).
% 0.40/1.02 cnf(i_0_1897, 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)))).
% 0.40/1.02 cnf(i_0_1896, 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)))).
% 0.40/1.02 cnf(i_0_1164, plain, (hBOOL(hAPP(hAPP(c_lessequals(X1),X2),hAPP(hAPP(c_Orderings_Oord__class_Omax(X1),X3),X2)))|~class_Orderings_Olinorder(X1))).
% 0.40/1.02 cnf(i_0_1419, plain, (hAPP(hAPP(c_HOL_Oplus__class_Oplus(X1),X2),hAPP(c_HOL_Ouminus__class_Ouminus(X1),X3))=hAPP(hAPP(c_HOL_Ominus__class_Ominus(X1),X2),X3)|~class_Int_Onumber__ring(X1))).
% 0.40/1.02 cnf(i_0_1165, plain, (hBOOL(hAPP(hAPP(c_lessequals(X1),X2),hAPP(hAPP(c_Orderings_Oord__class_Omax(X1),X2),X3)))|~class_Orderings_Olinorder(X1))).
% 0.40/1.02 cnf(i_0_1044, plain, (hBOOL(hAPP(hAPP(c_lessequals(X1),X2),X3))|~hBOOL(hAPP(hAPP(c_lessequals(X1),X2),hAPP(hAPP(c_Orderings_Oord__class_Omin(X1),X3),X4)))|~class_Orderings_Olinorder(X1))).
% 0.40/1.02 cnf(i_0_1393, plain, (hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(X1),X2),X3))|~hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(X1),X2),hAPP(hAPP(c_Orderings_Oord__class_Omin(X1),X4),X3)))|~class_Orderings_Olinorder(X1))).
% 0.40/1.02 cnf(i_0_1392, plain, (hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(X1),X2),X3))|~hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(X1),X2),hAPP(hAPP(c_Orderings_Oord__class_Omin(X1),X3),X4)))|~class_Orderings_Olinorder(X1))).
% 0.40/1.02 cnf(i_0_1184, plain, (hBOOL(hAPP(hAPP(c_lessequals(X1),hAPP(hAPP(c_Orderings_Oord__class_Omin(X1),X2),X3)),X3))|~class_Orderings_Olinorder(X1))).
% 0.40/1.02 cnf(i_0_1183, plain, (hBOOL(hAPP(hAPP(c_lessequals(X1),hAPP(hAPP(c_Orderings_Oord__class_Omin(X1),X2),X3)),X2))|~class_Orderings_Olinorder(X1))).
% 0.40/1.02 cnf(i_0_1544, plain, (X1=c_Suc(X2)|hBOOL(hAPP(hAPP(c_lessequals(tc_nat),X1),X2))|~hBOOL(hAPP(hAPP(c_lessequals(tc_nat),X1),c_Suc(X2))))).
% 0.40/1.02 cnf(i_0_1724, plain, (hBOOL(c_in(X1,X2,X3))|~hBOOL(hAPP(hAPP(c_lessequals(tc_fun(X3,tc_bool)),X4),X2))|~hBOOL(c_in(X1,X4,X3)))).
% 0.40/1.02 cnf(i_0_1421, plain, (hAPP(hAPP(c_HOL_Oplus__class_Oplus(X1),X2),hAPP(c_HOL_Ouminus__class_Ouminus(X1),X3))=hAPP(hAPP(c_HOL_Ominus__class_Ominus(X1),X2),X3)|~class_OrderedGroup_Ogroup__add(X1))).
% 0.40/1.02 cnf(i_0_1463, plain, (hBOOL(hAPP(hAPP(c_lessequals(tc_nat),X1),X2))|hBOOL(hAPP(hAPP(c_lessequals(tc_nat),X2),X1)))).
% 0.40/1.02 cnf(i_0_1058, plain, (hBOOL(hAPP(hAPP(c_lessequals(X1),X2),X3))|~hBOOL(hAPP(hAPP(c_lessequals(X1),hAPP(hAPP(c_Orderings_Oord__class_Omax(X1),X4),X2)),X3))|~class_Orderings_Olinorder(X1))).
% 0.40/1.02 cnf(i_0_1059, plain, (hBOOL(hAPP(hAPP(c_lessequals(X1),X2),X3))|~hBOOL(hAPP(hAPP(c_lessequals(X1),hAPP(hAPP(c_Orderings_Oord__class_Omax(X1),X2),X4)),X3))|~class_Orderings_Olinorder(X1))).
% 0.40/1.02 cnf(i_0_1126, 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))).
% 0.40/1.02 cnf(i_0_1591, plain, (hBOOL(c_in(X1,X2,X3))|~hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(tc_fun(X3,tc_bool)),X4),X2))|~hBOOL(c_in(X1,X4,X3)))).
% 0.40/1.02 cnf(i_0_1343, plain, (hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(X1),X2),X3))|hBOOL(hAPP(hAPP(c_lessequals(X1),X3),X2))|~class_Orderings_Olinorder(X1))).
% 0.40/1.02 cnf(i_0_1420, plain, (hAPP(hAPP(c_HOL_Oplus__class_Oplus(X1),X2),hAPP(c_HOL_Ouminus__class_Ouminus(X1),X3))=hAPP(hAPP(c_HOL_Ominus__class_Ominus(X1),X2),X3)|~class_OrderedGroup_Oab__group__add(X1))).
% 0.40/1.02 cnf(i_0_1106, 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))).
% 0.40/1.02 cnf(i_0_1382, plain, (hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(X1),X2),X3))|~hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(X1),hAPP(hAPP(c_Orderings_Oord__class_Omax(X1),X4),X2)),X3))|~class_Orderings_Olinorder(X1))).
% 0.40/1.02 cnf(i_0_1381, plain, (hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(X1),X2),X3))|~hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(X1),hAPP(hAPP(c_Orderings_Oord__class_Omax(X1),X2),X4)),X3))|~class_Orderings_Olinorder(X1))).
% 0.40/1.02 cnf(i_0_1843, plain, (c_Set_Ovimage(X1,c_Set_Oimage(X1,X2,X3,X4),X3,X4)=X2|~c_Fun_Oinj__on(X1,c_Orderings_Otop__class_Otop(tc_fun(X3,tc_bool)),X3,X4))).
% 0.40/1.02 cnf(i_0_1132, plain, (hBOOL(hAPP(hAPP(c_lessequals(tc_fun(X1,X2)),X3),X4))|~class_HOL_Oord(X2)|~hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(tc_fun(X1,X2)),X3),X4)))).
% 0.40/1.02 cnf(i_0_1203, plain, (hAPP(hAPP(c_HOL_Oplus__class_Oplus(X1),hAPP(hAPP(c_HOL_Ominus__class_Ominus(X1),X2),X3)),X3)=X2|~class_OrderedGroup_Ogroup__add(X1))).
% 0.40/1.02 cnf(i_0_1563, plain, (hAPP(hAPP(c_HOL_Ominus__class_Ominus(X1),hAPP(hAPP(c_HOL_Oplus__class_Oplus(X1),X2),X3)),X3)=X2|~class_OrderedGroup_Ogroup__add(X1))).
% 0.40/1.02 cnf(i_0_1695, plain, (hAPP(c_Finite__Set_Olinorder__class_OMin(X1),X2)=X3|~c_Finite__Set_Ofinite(X2,X1)|~hBOOL(hAPP(hAPP(c_lessequals(X1),X3),c_ATP__Linkup_Osko__Finite__Set__Xlinorder__class__XMin__eqI__1__1(X2,X3,X1)))|~hBOOL(c_in(X3,X2,X1))|~class_Orderings_Olinorder(X1))).
% 0.40/1.02 cnf(i_0_1694, plain, (hAPP(c_Finite__Set_Olinorder__class_OMax(X1),X2)=X3|~c_Finite__Set_Ofinite(X2,X1)|~hBOOL(hAPP(hAPP(c_lessequals(X1),c_ATP__Linkup_Osko__Finite__Set__Xlinorder__class__XMax__eqI__1__1(X2,X3,X1)),X3))|~hBOOL(c_in(X3,X2,X1))|~class_Orderings_Olinorder(X1))).
% 0.40/1.02 cnf(i_0_1413, 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))))).
% 0.40/1.02 cnf(i_0_1789, plain, (hBOOL(hAPP(hAPP(c_lessequals(tc_fun(X1,tc_bool)),X2),c_Set_Oinsert(X3,X4,X1)))|~hBOOL(hAPP(hAPP(c_lessequals(tc_fun(X1,tc_bool)),X2),X4)))).
% 0.40/1.02 cnf(i_0_1946, plain, (X1=c_Orderings_Obot__class_Obot(tc_fun(X2,tc_bool))|hBOOL(c_in(hAPP(c_Finite__Set_Olinorder__class_OMax(X2),X1),X1,X2))|~c_Finite__Set_Ofinite(X1,X2)|~class_Orderings_Olinorder(X2))).
% 0.40/1.02 cnf(i_0_1945, plain, (X1=c_Orderings_Obot__class_Obot(tc_fun(X2,tc_bool))|hBOOL(c_in(hAPP(c_Finite__Set_Olinorder__class_OMin(X2),X1),X1,X2))|~c_Finite__Set_Ofinite(X1,X2)|~class_Orderings_Olinorder(X2))).
% 0.40/1.02 cnf(i_0_1365, plain, (hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(X1),X2),hAPP(c_HOL_Ouminus__class_Ouminus(X1),X3))=hAPP(hAPP(c_HOL_Ominus__class_Ominus(X1),X2),X3)|~class_Lattices_Oboolean__algebra(X1))).
% 0.40/1.02 cnf(i_0_1412, 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))))).
% 0.40/1.02 cnf(i_0_1890, 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)))).
% 0.40/1.02 cnf(i_0_1657, plain, (hBOOL(hAPP(hAPP(c_lessequals(X1),X2),hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(X1),X3),X2)))|~class_Lattices_Olattice(X1))).
% 0.40/1.02 cnf(i_0_1730, plain, (hBOOL(c_in(X1,X2,X3))|hBOOL(c_in(X1,X4,X3))|~hBOOL(c_in(X1,hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(X3,tc_bool)),X4),X2),X3)))).
% 0.40/1.02 cnf(i_0_1814, 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),c_Set_Oinsert(X4,X3,X1)),X1))).
% 0.40/1.02 cnf(i_0_2016, plain, (hBOOL(c_in(hAPP(X1,X2),c_Set_Oimage(X1,X3,X4,X5),X5))|~hBOOL(c_in(X2,X3,X4)))).
% 0.40/1.02 cnf(i_0_1554, plain, (hAPP(hAPP(c_HOL_Ominus__class_Ominus(X1),X2),hAPP(c_HOL_Ouminus__class_Ouminus(X1),X3))=hAPP(hAPP(c_HOL_Oplus__class_Oplus(X1),X2),X3)|~class_OrderedGroup_Ogroup__add(X1))).
% 0.40/1.02 cnf(i_0_1660, plain, (hBOOL(hAPP(hAPP(c_lessequals(X1),X2),hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(X1),X3),X2)))|~class_Lattices_Oupper__semilattice(X1))).
% 0.40/1.02 cnf(i_0_1891, 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)))).
% 0.40/1.02 cnf(i_0_1656, plain, (hBOOL(hAPP(hAPP(c_lessequals(X1),X2),hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(X1),X2),X3)))|~class_Lattices_Olattice(X1))).
% 0.40/1.02 cnf(i_0_1482, plain, (hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(tc_fun(X1,tc_bool)),X2),X3))|~hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(tc_fun(X1,tc_bool)),X2),c_Set_Oinsert(X4,X3,X1)))|~hBOOL(c_in(X4,X3,X1)))).
% 0.40/1.02 cnf(i_0_1661, plain, (hBOOL(hAPP(hAPP(c_lessequals(X1),X2),hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(X1),X2),X3)))|~class_Lattices_Oupper__semilattice(X1))).
% 0.40/1.02 cnf(i_0_1266, plain, (hBOOL(hAPP(hAPP(c_lessequals(X1),hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(X1),X2),X3)),X3))|~class_Lattices_Olattice(X1))).
% 0.40/1.02 cnf(i_0_1113, plain, (hAPP(hAPP(X1,X2),hAPP(hAPP(X1,X2),X3))=hAPP(hAPP(X1,X2),X3)|~c_OrderedGroup_Oab__semigroup__idem__mult(X1,X4))).
% 0.40/1.02 cnf(i_0_1270, plain, (hBOOL(hAPP(hAPP(c_lessequals(X1),hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(X1),X2),X3)),X3))|~class_Lattices_Olower__semilattice(X1))).
% 0.40/1.02 cnf(i_0_1535, plain, (hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(X1),X2),c_Complete__Lattice_OInf__class_OInf(X3,X1))=c_Complete__Lattice_OInf__class_OInf(c_Set_Oinsert(X2,X3,X1),X1)|~class_Complete__Lattice_Ocomplete__lattice(X1))).
% 0.40/1.02 cnf(i_0_1445, plain, (X1=X2|hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(X3),X1),X2))|~hBOOL(hAPP(hAPP(c_lessequals(X3),X1),X2))|~class_Orderings_Olinorder(X3))).
% 0.40/1.02 cnf(i_0_1334, plain, (X1=X2|hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(X3),X1),X2))|~class_Orderings_Oorder(X3)|~hBOOL(hAPP(hAPP(c_lessequals(X3),X1),X2)))).
% 0.40/1.02 cnf(i_0_1265, plain, (hBOOL(hAPP(hAPP(c_lessequals(X1),hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(X1),X2),X3)),X2))|~class_Lattices_Olattice(X1))).
% 0.40/1.02 cnf(i_0_1271, plain, (hBOOL(hAPP(hAPP(c_lessequals(X1),hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(X1),X2),X3)),X2))|~class_Lattices_Olower__semilattice(X1))).
% 0.40/1.02 cnf(i_0_1368, plain, (hBOOL(hAPP(hAPP(X1,hAPP(hAPP(X2,X3),X4)),X4))|~c_Lattices_Olower__semilattice(X1,X5,X2,X6))).
% 0.40/1.02 cnf(i_0_1369, plain, (hBOOL(hAPP(hAPP(X1,hAPP(hAPP(X2,X3),X4)),X3))|~c_Lattices_Olower__semilattice(X1,X5,X2,X6))).
% 0.40/1.02 cnf(i_0_1572, plain, (hAPP(c_HOL_Ouminus__class_Ouminus(X1),hAPP(hAPP(c_HOL_Ominus__class_Ominus(X1),X2),X3))=hAPP(hAPP(c_HOL_Ominus__class_Ominus(X1),X3),X2)|~class_OrderedGroup_Oab__group__add(X1))).
% 0.40/1.02 cnf(i_0_1648, 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))).
% 0.40/1.02 cnf(i_0_1302, 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))).
% 0.40/1.02 cnf(i_0_1837, 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))).
% 0.40/1.02 cnf(i_0_1118, plain, (X1=X2|hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(tc_nat),X1),X2))|hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(tc_nat),X2),X1)))).
% 0.40/1.02 cnf(i_0_1747, plain, (c_Set_Ovimage(c_COMBK(X1,X2,X3),X4,X3,X2)=c_Orderings_Obot__class_Obot(tc_fun(X3,tc_bool))|hBOOL(c_in(X1,X4,X2)))).
% 0.40/1.02 cnf(i_0_1181, plain, (hBOOL(hAPP(hAPP(c_lessequals(X1),X2),X3))|~class_OrderedGroup_Opordered__ab__group__add(X1)|~hBOOL(hAPP(hAPP(c_lessequals(X1),hAPP(c_HOL_Ouminus__class_Ouminus(X1),X3)),hAPP(c_HOL_Ouminus__class_Ouminus(X1),X2))))).
% 0.40/1.02 cnf(i_0_1079, plain, (hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(X1),X2),X3))|~class_OrderedGroup_Opordered__ab__group__add(X1)|~hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(X1),hAPP(c_HOL_Ouminus__class_Ouminus(X1),X3)),hAPP(c_HOL_Ouminus__class_Ouminus(X1),X2))))).
% 0.40/1.02 cnf(i_0_1174, plain, (hAPP(hAPP(X1,X2),X3)=hAPP(hAPP(X1,X3),X2)|~c_Lattices_Olower__semilattice(X4,X5,X1,X6))).
% 0.40/1.02 cnf(i_0_1764, 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)))).
% 0.40/1.02 cnf(i_0_1401, plain, (c_Suc(X1)=X2|hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(tc_nat),c_Suc(X1)),X2))|~hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(tc_nat),X1),X2)))).
% 0.40/1.02 cnf(i_0_1815, plain, (X1=c_Set_Oinsert(X2,c_Orderings_Obot__class_Obot(tc_fun(X3,tc_bool)),X3)|X1=c_Orderings_Obot__class_Obot(tc_fun(X3,tc_bool))|~hBOOL(hAPP(hAPP(c_lessequals(tc_fun(X3,tc_bool)),X1),c_Set_Oinsert(X2,c_Orderings_Obot__class_Obot(tc_fun(X3,tc_bool)),X3))))).
% 0.40/1.02 cnf(i_0_1178, plain, (hBOOL(hAPP(hAPP(c_lessequals(tc_fun(X1,tc_bool)),X2),X3))|~hBOOL(hAPP(hAPP(c_lessequals(tc_fun(X1,tc_bool)),hAPP(c_HOL_Ouminus__class_Ouminus(tc_fun(X1,tc_bool)),X3)),hAPP(c_HOL_Ouminus__class_Ouminus(tc_fun(X1,tc_bool)),X2))))).
% 0.40/1.02 cnf(i_0_1561, plain, (hBOOL(hAPP(hAPP(c_lessequals(tc_fun(X1,tc_bool)),X2),hAPP(c_HOL_Ouminus__class_Ouminus(tc_fun(X1,tc_bool)),X3)))|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)))).
% 0.40/1.02 cnf(i_0_1954, plain, (c_Set_Oimage(c_COMBK(X1,X2,X3),X4,X3,X2)=c_Set_Oinsert(X1,c_Orderings_Obot__class_Obot(tc_fun(X2,tc_bool)),X2)|X4=c_Orderings_Obot__class_Obot(tc_fun(X3,tc_bool)))).
% 0.40/1.02 cnf(i_0_1503, plain, (hAPP(c_Fun_Othe__inv__into(X1,X2,X3,X4),hAPP(X2,X5))=X5|~c_Fun_Oinj__on(X2,X1,X3,X4)|~hBOOL(c_in(X5,X1,X3)))).
% 0.40/1.02 cnf(i_0_1783, plain, (c_Set_Oimage(X1,X2,X3,X3)=X2|~c_Fun_Oinj__on(X1,X2,X3,X3)|~c_Finite__Set_Ofinite(X2,X3)|~hBOOL(hAPP(hAPP(c_lessequals(tc_fun(X3,tc_bool)),c_Set_Oimage(X1,X2,X3,X3)),X2)))).
% 0.40/1.02 cnf(i_0_2009, plain, (c_Hoare__Mirabelle_Ohoare__derivs(X1,c_Set_Oinsert(X2,c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(X3),tc_bool)),tc_Hoare__Mirabelle_Otriple(X3)),X3)|~c_Hoare__Mirabelle_Ohoare__derivs(X1,c_Set_Oinsert(X2,X4,tc_Hoare__Mirabelle_Otriple(X3)),X3))).
% 0.40/1.02 cnf(i_0_1090, plain, (hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(tc_nat),hAPP(hAPP(c_HOL_Ominus__class_Ominus(tc_nat),X1),X2)),X3))|~hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(tc_nat),X1),X3)))).
% 0.40/1.02 cnf(i_0_1920, plain, (X1=c_Nitpick_Osko__Nitpick__XEx1__def__1__3(c_Set_Oinsert(X2,c_Orderings_Obot__class_Obot(tc_fun(X3,tc_bool)),X3),X3)|~hBOOL(hAPP(c_Set_Oinsert(X2,c_Orderings_Obot__class_Obot(tc_fun(X3,tc_bool)),X3),X1)))).
% 0.40/1.02 cnf(i_0_1587, 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)))).
% 0.40/1.02 cnf(i_0_1145, plain, (X1=hAPP(c_HOL_Ouminus__class_Ouminus(X2),X3)|X1=X3|hAPP(hAPP(c_HOL_Otimes__class_Otimes(X2),X1),X1)!=hAPP(hAPP(c_HOL_Otimes__class_Otimes(X2),X3),X3)|~class_Ring__and__Field_Oidom(X2))).
% 0.40/1.02 cnf(i_0_1493, plain, (hBOOL(hAPP(hAPP(c_lessequals(X1),X2),X3))|~class_Orderings_Oorder(X1)|~hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(tc_fun(X1,tc_bool)),c_SetInterval_Oord__class_OatLeastAtMost(X4,X5,X1)),c_SetInterval_Oord__class_OatLeastAtMost(X2,X3,X1))))).
% 0.40/1.02 cnf(i_0_1527, plain, (c_Fun_Oinj__on(c_Fun_Othe__inv__into(X1,X2,X3,X4),c_Set_Oimage(X2,X1,X3,X4),X4,X3)|~c_Fun_Oinj__on(X2,X1,X3,X4))).
% 0.40/1.02 cnf(i_0_1469, plain, (hAPP(c_HOL_Ouminus__class_Ouminus(X1),X2)=X3|hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(X1),X2),X3)!=c_Orderings_Obot__class_Obot(X1)|hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(X1),X2),X3)!=c_Orderings_Otop__class_Otop(X1)|~class_Lattices_Oboolean__algebra(X1))).
% 0.40/1.02 cnf(i_0_1362, plain, (X1=X2|hAPP(hAPP(c_HOL_Ominus__class_Ominus(tc_nat),X1),X3)!=hAPP(hAPP(c_HOL_Ominus__class_Ominus(tc_nat),X2),X3)|~hBOOL(hAPP(hAPP(c_lessequals(tc_nat),X3),X2))|~hBOOL(hAPP(hAPP(c_lessequals(tc_nat),X3),X1)))).
% 0.40/1.02 cnf(i_0_1543, plain, (hAPP(hAPP(c_HOL_Ominus__class_Ominus(tc_nat),X1),hAPP(hAPP(c_HOL_Ominus__class_Ominus(tc_nat),X1),X2))=X2|~hBOOL(hAPP(hAPP(c_lessequals(tc_nat),X2),X1)))).
% 0.40/1.02 cnf(i_0_1802, plain, (hBOOL(hAPP(hAPP(c_lessequals(tc_fun(X1,tc_bool)),X2),X3))|hBOOL(c_in(X4,X2,X1))|~hBOOL(hAPP(hAPP(c_lessequals(tc_fun(X1,tc_bool)),X2),c_Set_Oinsert(X4,X3,X1))))).
% 0.40/1.02 cnf(i_0_1745, plain, (hBOOL(hAPP(hAPP(c_lessequals(X1),X2),hAPP(c_Finite__Set_Olinorder__class_OMax(X1),X3)))|~c_Finite__Set_Ofinite(X3,X1)|~hBOOL(c_in(X2,X3,X1))|~class_Orderings_Olinorder(X1))).
% 0.40/1.02 cnf(i_0_1202, plain, (hAPP(hAPP(c_Orderings_Oord__class_Omin(X1),X2),hAPP(hAPP(c_Orderings_Oord__class_Omin(X1),X2),X3))=hAPP(hAPP(c_Orderings_Oord__class_Omin(X1),X2),X3)|~class_Orderings_Olinorder(X1))).
% 0.40/1.02 cnf(i_0_1136, plain, (hAPP(hAPP(c_HOL_Oplus__class_Oplus(X1),hAPP(c_HOL_Ouminus__class_Ouminus(X1),X2)),hAPP(hAPP(c_HOL_Oplus__class_Oplus(X1),X3),X2))=X3|~class_OrderedGroup_Oab__group__add(X1))).
% 0.40/1.02 cnf(i_0_1979, plain, (X1=X2|X1=X3|c_Set_Oinsert(X4,c_Set_Oinsert(X1,c_Orderings_Obot__class_Obot(tc_fun(X5,tc_bool)),X5),X5)!=c_Set_Oinsert(X2,c_Set_Oinsert(X3,c_Orderings_Obot__class_Obot(tc_fun(X5,tc_bool)),X5),X5))).
% 0.40/1.02 cnf(i_0_1981, plain, (X1=X2|X3=X2|c_Set_Oinsert(X1,c_Set_Oinsert(X3,c_Orderings_Obot__class_Obot(tc_fun(X4,tc_bool)),X4),X4)!=c_Set_Oinsert(X2,c_Set_Oinsert(X5,c_Orderings_Obot__class_Obot(tc_fun(X4,tc_bool)),X4),X4))).
% 0.40/1.02 cnf(i_0_1746, plain, (hBOOL(hAPP(hAPP(c_lessequals(X1),hAPP(c_Finite__Set_Olinorder__class_OMin(X1),X2)),X3))|~c_Finite__Set_Ofinite(X2,X1)|~hBOOL(c_in(X3,X2,X1))|~class_Orderings_Olinorder(X1))).
% 0.40/1.02 cnf(i_0_1919, plain, (hBOOL(hAPP(hAPP(c_lessequals(X1),X2),X3))|hBOOL(hAPP(hAPP(c_lessequals(X1),X3),X2))|~class_Orderings_Olinorder(X1))).
% 0.40/1.02 cnf(i_0_1813, plain, (c_Finite__Set_Ofinite(hAPP(hAPP(c_HOL_Ominus__class_Ominus(tc_fun(X1,tc_bool)),X2),c_Set_Oinsert(X3,X4,X1)),X1)|~c_Finite__Set_Ofinite(hAPP(hAPP(c_HOL_Ominus__class_Ominus(tc_fun(X1,tc_bool)),X2),X4),X1))).
% 0.40/1.02 cnf(i_0_1483, plain, (hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(tc_fun(X1,tc_bool)),X2),c_Set_Oinsert(X3,X4,X1)))|~hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(tc_fun(X1,tc_bool)),X2),X4))|~hBOOL(c_in(X3,X4,X1)))).
% 0.40/1.02 cnf(i_0_1264, 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))).
% 0.40/1.02 cnf(i_0_1562, plain, (hAPP(hAPP(c_Orderings_Oord__class_Omax(X1),X2),hAPP(hAPP(c_Orderings_Oord__class_Omax(X1),X2),X3))=hAPP(hAPP(c_Orderings_Oord__class_Omax(X1),X2),X3)|~class_Orderings_Olinorder(X1))).
% 0.40/1.02 cnf(i_0_1840, 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))).
% 0.40/1.02 cnf(i_0_1475, plain, (hAPP(hAPP(c_Finite__Set_Ofold(c_Lattices_Olower__semilattice__class_Oinf(X1),X1,X1),c_Orderings_Otop__class_Otop(X1)),X2)=c_Complete__Lattice_OInf__class_OInf(X2,X1)|~class_Complete__Lattice_Ocomplete__lattice(X1)|~c_Finite__Set_Ofinite(X2,X1))).
% 0.40/1.02 cnf(i_0_2011, plain, (c_Set_Oinsert(hAPP(X1,X2),c_Set_Oimage(X1,X3,X4,X5),X5)=c_Set_Oimage(X1,X3,X4,X5)|~hBOOL(c_in(X2,X3,X4)))).
% 0.40/1.02 cnf(i_0_1957, plain, (c_Set_Oimage(c_COMBK(X1,X2,X3),X4,X3,X2)=c_Set_Oinsert(X1,c_Orderings_Obot__class_Obot(tc_fun(X2,tc_bool)),X2)|~hBOOL(c_in(X5,X4,X3)))).
% 0.40/1.02 cnf(i_0_1151, plain, (c_Suc(hAPP(hAPP(c_HOL_Ominus__class_Ominus(tc_nat),X1),X2))=hAPP(hAPP(c_HOL_Ominus__class_Ominus(tc_nat),c_Suc(X1)),X2)|~hBOOL(hAPP(hAPP(c_lessequals(tc_nat),X2),X1)))).
% 0.40/1.02 cnf(i_0_1798, plain, (hBOOL(hAPP(hAPP(c_lessequals(tc_fun(X1,tc_bool)),c_Set_Oinsert(X2,X3,X1)),X4))|~hBOOL(hAPP(hAPP(c_lessequals(tc_fun(X1,tc_bool)),X3),X4))|~hBOOL(c_in(X2,X4,X1)))).
% 0.40/1.02 cnf(i_0_1306, plain, (hBOOL(hAPP(hAPP(c_lessequals(tc_nat),X1),X2))|~hBOOL(hAPP(hAPP(c_lessequals(tc_nat),X3),X2))|~hBOOL(hAPP(hAPP(c_lessequals(tc_nat),X1),X3)))).
% 0.40/1.02 cnf(i_0_1738, plain, (hBOOL(c_in(X1,hAPP(hAPP(c_HOL_Ominus__class_Ominus(tc_fun(X2,tc_bool)),X3),X4),X2))|hBOOL(c_in(X1,X4,X2))|~hBOOL(c_in(X1,X3,X2)))).
% 0.40/1.02 cnf(i_0_1288, 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))).
% 0.40/1.02 cnf(i_0_1175, plain, (hAPP(hAPP(X1,X2),hAPP(hAPP(X1,X2),X3))=hAPP(hAPP(X1,X2),X3)|~c_Lattices_Olower__semilattice(X4,X5,X1,X6))).
% 0.40/1.02 cnf(i_0_1528, plain, (c_Set_Oimage(c_Fun_Othe__inv__into(X1,X2,X3,X4),c_Set_Oimage(X2,X1,X3,X4),X4,X3)=X1|~c_Fun_Oinj__on(X2,X1,X3,X4))).
% 0.40/1.02 cnf(i_0_1255, plain, (hBOOL(hAPP(hAPP(X1,hAPP(hAPP(X2,X3),X4)),X5))|~c_Lattices_Olower__semilattice(X6,X1,X2,X7)|~hBOOL(hAPP(hAPP(X1,X4),X5)))).
% 0.40/1.02 cnf(i_0_1256, plain, (hBOOL(hAPP(hAPP(X1,hAPP(hAPP(X2,X3),X4)),X5))|~c_Lattices_Olower__semilattice(X6,X1,X2,X7)|~hBOOL(hAPP(hAPP(X1,X3),X5)))).
% 0.40/1.02 cnf(i_0_1060, plain, (hBOOL(hAPP(hAPP(c_lessequals(X1),X2),hAPP(hAPP(c_Orderings_Oord__class_Omax(X1),X3),X4)))|~hBOOL(hAPP(hAPP(c_lessequals(X1),X2),X4))|~class_Orderings_Olinorder(X1))).
% 0.40/1.02 cnf(i_0_1061, plain, (hBOOL(hAPP(hAPP(c_lessequals(X1),X2),hAPP(hAPP(c_Orderings_Oord__class_Omax(X1),X3),X4)))|~hBOOL(hAPP(hAPP(c_lessequals(X1),X2),X3))|~class_Orderings_Olinorder(X1))).
% 0.40/1.02 cnf(i_0_1289, 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))).
% 0.40/1.02 cnf(i_0_1624, plain, (hBOOL(hAPP(hAPP(c_lessequals(tc_nat),c_Finite__Set_Ocard(X1,X2)),c_Finite__Set_Ocard(c_Set_Oinsert(X3,X1,X2),X2)))|~c_Finite__Set_Ofinite(X1,X2))).
% 0.40/1.02 cnf(i_0_1262, plain, (hBOOL(hAPP(hAPP(X1,hAPP(hAPP(X2,X3),X4)),X5))|~c_Lattices_Olower__semilattice(X1,X6,X2,X7)|~hBOOL(hAPP(hAPP(X1,X4),X5)))).
% 0.40/1.02 cnf(i_0_1261, plain, (hBOOL(hAPP(hAPP(X1,hAPP(hAPP(X2,X3),X4)),X5))|~c_Lattices_Olower__semilattice(X1,X6,X2,X7)|~hBOOL(hAPP(hAPP(X1,X3),X5)))).
% 0.40/1.02 cnf(i_0_1719, plain, (c_Finite__Set_Ocard(c_Set_Oinsert(X1,X2,X3),X3)=c_Suc(c_Finite__Set_Ocard(X2,X3))|hBOOL(c_in(X1,X2,X3))|~c_Finite__Set_Ofinite(X2,X3))).
% 0.40/1.02 cnf(i_0_1473, plain, (hAPP(hAPP(c_Finite__Set_Ofold(X1,X2,X2),X3),X4)=hAPP(c_Finite__Set_Ofold1(X1,X2),c_Set_Oinsert(X3,X4,X2))|~c_OrderedGroup_Oab__semigroup__idem__mult(X1,X2)|~c_Finite__Set_Ofinite(X4,X2))).
% 0.40/1.02 cnf(i_0_1378, plain, (hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(X1),X2),hAPP(hAPP(c_Orderings_Oord__class_Omax(X1),X3),X4)))|~hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(X1),X2),X4))|~class_Orderings_Olinorder(X1))).
% 0.40/1.02 cnf(i_0_1377, plain, (hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(X1),X2),hAPP(hAPP(c_Orderings_Oord__class_Omax(X1),X3),X4)))|~hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(X1),X2),X3))|~class_Orderings_Olinorder(X1))).
% 0.40/1.02 cnf(i_0_1641, 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))).
% 0.40/1.02 cnf(i_0_1631, plain, (c_Complete__Lattice_OInf__class_OInf(c_Set_Oinsert(X1,c_Set_Oinsert(X2,c_Orderings_Obot__class_Obot(tc_fun(X3,tc_bool)),X3),X3),X3)=hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(X3),X1),X2)|~class_Complete__Lattice_Ocomplete__lattice(X3))).
% 0.40/1.02 cnf(i_0_1634, plain, (hAPP(c_Finite__Set_Olinorder__class_OMax(X1),X2)=X3|hBOOL(c_in(c_ATP__Linkup_Osko__Finite__Set__Xlinorder__class__XMax__eqI__1__1(X2,X3,X1),X2,X1))|~c_Finite__Set_Ofinite(X2,X1)|~hBOOL(c_in(X3,X2,X1))|~class_Orderings_Olinorder(X1))).
% 0.40/1.02 cnf(i_0_1633, plain, (hAPP(c_Finite__Set_Olinorder__class_OMin(X1),X2)=X3|hBOOL(c_in(c_ATP__Linkup_Osko__Finite__Set__Xlinorder__class__XMin__eqI__1__1(X2,X3,X1),X2,X1))|~c_Finite__Set_Ofinite(X2,X1)|~hBOOL(c_in(X3,X2,X1))|~class_Orderings_Olinorder(X1))).
% 0.40/1.02 cnf(i_0_1916, plain, (hBOOL(hAPP(hAPP(c_lessequals(X1),X2),X3))|hAPP(hAPP(c_HOL_Ominus__class_Ominus(X1),X4),X5)!=hAPP(hAPP(c_HOL_Ominus__class_Ominus(X1),X3),X2)|~class_OrderedGroup_Opordered__ab__group__add(X1)|~hBOOL(hAPP(hAPP(c_lessequals(X1),X5),X4)))).
% 0.40/1.02 cnf(i_0_1135, plain, (hAPP(hAPP(c_HOL_Oplus__class_Oplus(X1),hAPP(c_HOL_Ouminus__class_Ouminus(X1),X2)),hAPP(hAPP(c_HOL_Oplus__class_Oplus(X1),X2),X3))=X3|~class_OrderedGroup_Ogroup__add(X1))).
% 0.40/1.02 cnf(i_0_1138, plain, (hBOOL(hAPP(hAPP(c_lessequals(X1),hAPP(hAPP(c_Orderings_Oord__class_Omin(X1),X2),X3)),X4))|~hBOOL(hAPP(hAPP(c_lessequals(X1),X3),X4))|~class_Orderings_Olinorder(X1))).
% 0.40/1.02 cnf(i_0_1042, plain, (hBOOL(hAPP(hAPP(c_lessequals(X1),hAPP(hAPP(c_Orderings_Oord__class_Omin(X1),X2),X3)),X4))|~hBOOL(hAPP(hAPP(c_lessequals(X1),X2),X4))|~class_Orderings_Olinorder(X1))).
% 0.40/1.02 cnf(i_0_1642, 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))).
% 0.40/1.02 cnf(i_0_1280, plain, (hAPP(hAPP(c_HOL_Oplus__class_Oplus(X1),X2),hAPP(hAPP(c_HOL_Oplus__class_Oplus(X1),hAPP(c_HOL_Ouminus__class_Ouminus(X1),X2)),X3))=X3|~class_OrderedGroup_Ogroup__add(X1))).
% 0.40/1.02 cnf(i_0_1330, plain, (hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(X1),X2),X3))|hAPP(hAPP(c_HOL_Ominus__class_Ominus(X1),X4),X5)!=hAPP(hAPP(c_HOL_Ominus__class_Ominus(X1),X2),X3)|~class_OrderedGroup_Opordered__ab__group__add(X1)|~hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(X1),X4),X5)))).
% 0.40/1.02 cnf(i_0_1244, plain, (hBOOL(hAPP(hAPP(c_lessequals(X1),X2),X3))|~class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(X1)|~hBOOL(hAPP(hAPP(c_lessequals(X1),hAPP(hAPP(c_HOL_Oplus__class_Oplus(X1),X4),X2)),hAPP(hAPP(c_HOL_Oplus__class_Oplus(X1),X4),X3))))).
% 0.40/1.02 cnf(i_0_1242, plain, (hBOOL(hAPP(hAPP(c_lessequals(X1),X2),X3))|~class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(X1)|~hBOOL(hAPP(hAPP(c_lessequals(X1),hAPP(hAPP(c_HOL_Oplus__class_Oplus(X1),X2),X4)),hAPP(hAPP(c_HOL_Oplus__class_Oplus(X1),X3),X4))))).
% 0.40/1.02 cnf(i_0_1276, plain, (hAPP(hAPP(c_HOL_Otimes__class_Otimes(X1),hAPP(c_HOL_Ouminus__class_Ouminus(X1),X2)),X3)=hAPP(hAPP(c_HOL_Otimes__class_Otimes(X1),X2),hAPP(c_HOL_Ouminus__class_Ouminus(X1),X3))|~class_Ring__and__Field_Oring(X1))).
% 0.40/1.02 cnf(i_0_1391, plain, (hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(X1),hAPP(hAPP(c_Orderings_Oord__class_Omin(X1),X2),X3)),X4))|~hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(X1),X3),X4))|~class_Orderings_Olinorder(X1))).
% 0.40/1.02 cnf(i_0_1390, plain, (hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(X1),hAPP(hAPP(c_Orderings_Oord__class_Omin(X1),X2),X3)),X4))|~hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(X1),X2),X4))|~class_Orderings_Olinorder(X1))).
% 0.40/1.02 cnf(i_0_1247, plain, (hAPP(c_HOL_Ouminus__class_Ouminus(X1),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X1),X2),X3))=hAPP(hAPP(c_HOL_Otimes__class_Otimes(X1),X2),hAPP(c_HOL_Ouminus__class_Ouminus(X1),X3))|~class_Ring__and__Field_Oring(X1))).
% 0.40/1.02 cnf(i_0_1248, plain, (hAPP(hAPP(c_HOL_Otimes__class_Otimes(X1),hAPP(c_HOL_Ouminus__class_Ouminus(X1),X2)),X3)=hAPP(c_HOL_Ouminus__class_Ouminus(X1),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X1),X2),X3))|~class_Ring__and__Field_Oring(X1))).
% 0.40/1.02 cnf(i_0_1301, plain, (hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(X1),X2),X3))|~class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(X1)|~hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(X1),hAPP(hAPP(c_HOL_Oplus__class_Oplus(X1),X4),X2)),hAPP(hAPP(c_HOL_Oplus__class_Oplus(X1),X4),X3))))).
% 0.40/1.02 cnf(i_0_1298, plain, (hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(X1),X2),X3))|~class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(X1)|~hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(X1),hAPP(hAPP(c_HOL_Oplus__class_Oplus(X1),X2),X4)),hAPP(hAPP(c_HOL_Oplus__class_Oplus(X1),X3),X4))))).
% 0.40/1.02 cnf(i_0_1706, plain, (c_ATP__Linkup_Osko__Fun__Xrange__ex1__eq__1__1(hAPP(X1,X2),X1,X3,X4)=X2|~c_Fun_Oinj__on(X1,c_Orderings_Otop__class_Otop(tc_fun(X4,tc_bool)),X4,X3))).
% 0.40/1.02 cnf(i_0_1811, plain, (~c_Fun_Oinj__on(X1,c_Set_Oinsert(X2,X3,X4),X4,X5)|~hBOOL(c_in(hAPP(X1,X2),c_Set_Oimage(X1,hAPP(hAPP(c_HOL_Ominus__class_Ominus(tc_fun(X4,tc_bool)),X3),c_Set_Oinsert(X2,c_Orderings_Obot__class_Obot(tc_fun(X4,tc_bool)),X4)),X4,X5),X5)))).
% 0.40/1.02 cnf(i_0_1655, 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)))).
% 0.40/1.02 cnf(i_0_1098, 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)))).
% 0.40/1.02 cnf(i_0_1960, plain, (c_Hoare__Mirabelle_Ohoare__derivs(X1,c_Set_Oinsert(X2,X3,tc_Hoare__Mirabelle_Otriple(X4)),X4)|~c_Hoare__Mirabelle_Ohoare__derivs(X1,c_Set_Oinsert(X2,c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(X4),tc_bool)),tc_Hoare__Mirabelle_Otriple(X4)),X4)|~c_Hoare__Mirabelle_Ohoare__derivs(X1,X3,X4))).
% 0.40/1.02 cnf(i_0_1722, 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)))).
% 0.40/1.02 cnf(i_0_1116, plain, (X1=X2|hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(X3),X1),X2))|hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(X3),X2),X1))|~class_Orderings_Olinorder(X3))).
% 0.40/1.02 cnf(i_0_1552, plain, (hAPP(hAPP(c_HOL_Otimes__class_Otimes(X1),hAPP(c_HOL_Ouminus__class_Ouminus(X1),X2)),hAPP(c_HOL_Ouminus__class_Ouminus(X1),X3))=hAPP(hAPP(c_HOL_Otimes__class_Otimes(X1),X2),X3)|~class_Ring__and__Field_Oring(X1))).
% 0.40/1.02 cnf(i_0_1627, plain, (hBOOL(hAPP(hAPP(X1,hAPP(c_Finite__Set_Ofold1(X2,X3),X4)),X5))|~c_Finite__Set_Ofinite(X4,X3)|~c_Lattices_Olower__semilattice(X1,X6,X2,X3)|~hBOOL(c_in(X5,X4,X3)))).
% 0.40/1.02 cnf(i_0_1490, plain, (c_Set_Oimage(c_Fun_Ofun__upd(X1,X2,X3,X4,X5),X6,X4,X5)=c_Set_Oimage(X1,X6,X4,X5)|hBOOL(c_in(X2,X6,X4)))).
% 0.40/1.02 cnf(i_0_1236, plain, (hAPP(hAPP(c_HOL_Oplus__class_Oplus(X1),X2),X3)=X4|hAPP(hAPP(c_HOL_Oplus__class_Oplus(X1),X2),hAPP(hAPP(c_HOL_Oplus__class_Oplus(X1),X5),X3))!=hAPP(hAPP(c_HOL_Oplus__class_Oplus(X1),X5),X4)|~class_OrderedGroup_Oab__group__add(X1))).
% 0.40/1.02 cnf(i_0_2012, plain, (X1=X2|hBOOL(c_in(X3,X1,X4))|hBOOL(c_in(X3,X2,X4))|c_Set_Oinsert(X3,X1,X4)!=c_Set_Oinsert(X3,X2,X4))).
% 0.40/1.02 cnf(i_0_1550, plain, (hAPP(hAPP(c_HOL_Otimes__class_Otimes(X1),hAPP(c_HOL_Ouminus__class_Ouminus(X1),X2)),hAPP(c_HOL_Ouminus__class_Ouminus(X1),X2))=hAPP(hAPP(c_HOL_Otimes__class_Otimes(X1),X2),X2)|~class_Ring__and__Field_Oidom(X1))).
% 0.40/1.02 cnf(i_0_1902, 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)))).
% 0.40/1.02 cnf(i_0_1308, plain, (hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(tc_fun(X1,tc_bool)),X2),X3))|~hBOOL(hAPP(hAPP(c_lessequals(tc_fun(X1,tc_bool)),X4),X3))|~hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(tc_fun(X1,tc_bool)),X2),X4)))).
% 0.40/1.02 cnf(i_0_1309, plain, (hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(tc_fun(X1,tc_bool)),X2),X3))|~hBOOL(hAPP(hAPP(c_lessequals(tc_fun(X1,tc_bool)),X2),X4))|~hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(tc_fun(X1,tc_bool)),X4),X3)))).
% 0.40/1.02 cnf(i_0_1222, plain, (hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(tc_fun(X1,tc_bool)),X2),X3))|~hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(tc_fun(X1,tc_bool)),X4),X3))|~hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(tc_fun(X1,tc_bool)),X2),X4)))).
% 0.40/1.02 cnf(i_0_1855, plain, (hAPP(hAPP(X1,hAPP(hAPP(X1,X2),X3)),X4)=hAPP(hAPP(X1,X2),hAPP(hAPP(X1,X3),X4))|~c_OrderedGroup_Oab__semigroup__mult(X1,X5))).
% 0.40/1.02 cnf(i_0_1623, plain, (hAPP(X1,hAPP(c_Fun_Othe__inv__into(X2,X1,X3,X4),X5))=X5|~c_Fun_Oinj__on(X1,X2,X3,X4)|~hBOOL(c_in(X5,c_Set_Oimage(X1,X2,X3,X4),X4)))).
% 0.40/1.02 cnf(i_0_1559, plain, (c_Finite__Set_Osetsum(c_COMBB(c_HOL_Ouminus__class_Ouminus(X1),X2,X1,X1,X3),X4,X3,X1)=hAPP(c_HOL_Ouminus__class_Ouminus(X1),c_Finite__Set_Osetsum(X2,X4,X3,X1))|~class_OrderedGroup_Oab__group__add(X1))).
% 0.40/1.02 cnf(i_0_1898, 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)))).
% 0.40/1.02 cnf(i_0_1899, 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)))).
% 0.40/1.02 cnf(i_0_1304, plain, (hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(X1),X2),X3))|~class_Orderings_Oorder(X1)|~hBOOL(hAPP(hAPP(c_lessequals(X1),X4),X3))|~hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(X1),X2),X4)))).
% 0.40/1.02 cnf(i_0_1303, plain, (hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(X1),X2),X3))|~class_Orderings_Oorder(X1)|~hBOOL(hAPP(hAPP(c_lessequals(X1),X2),X4))|~hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(X1),X4),X3)))).
% 0.40/1.02 cnf(i_0_1223, 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)))).
% 0.40/1.02 cnf(i_0_1311, plain, (hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(X1),X2),X3))|~class_Orderings_Opreorder(X1)|~hBOOL(hAPP(hAPP(c_lessequals(X1),X4),X3))|~hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(X1),X2),X4)))).
% 0.40/1.02 cnf(i_0_1785, plain, (hBOOL(hAPP(hAPP(c_lessequals(tc_fun(X1,tc_bool)),c_Set_Oinsert(X2,X3,X1)),c_Set_Oinsert(X2,X4,X1)))|~hBOOL(hAPP(hAPP(c_lessequals(tc_fun(X1,tc_bool)),X3),X4)))).
% 0.40/1.02 cnf(i_0_1892, 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)))).
% 0.40/1.02 cnf(i_0_1201, plain, (hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(X1,tc_bool)),c_SetInterval_Oord__class_OatLeastLessThan(X2,X3,X1)),c_SetInterval_Oord__class_OatLeastLessThan(X3,X4,X1))=c_Orderings_Obot__class_Obot(tc_fun(X1,tc_bool))|~class_Orderings_Oorder(X1))).
% 0.40/1.02 cnf(i_0_1310, plain, (hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(X1),X2),X3))|~class_Orderings_Opreorder(X1)|~hBOOL(hAPP(hAPP(c_lessequals(X1),X2),X4))|~hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(X1),X4),X3)))).
% 0.40/1.02 cnf(i_0_1221, 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)))).
% 0.40/1.02 cnf(i_0_1474, plain, (hAPP(hAPP(c_Finite__Set_Ofold(c_HOL_Otimes__class_Otimes(X1),X1,X1),X2),X3)=hAPP(c_Finite__Set_Ofold1(c_HOL_Otimes__class_Otimes(X1),X1),c_Set_Oinsert(X2,X3,X1))|~class_OrderedGroup_Oab__semigroup__idem__mult(X1)|~c_Finite__Set_Ofinite(X3,X1))).
% 0.40/1.02 cnf(i_0_1853, plain, (hBOOL(hAPP(hAPP(c_lessequals(X1),X2),X3))|~class_Orderings_Oorder(X1)|~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)))|~hBOOL(hAPP(hAPP(c_lessequals(X1),X4),X2)))).
% 0.40/1.02 cnf(i_0_1097, plain, (hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(X1,tc_bool)),c_SetInterval_Oord__class_OatLeastLessThan(X2,X3,X1)),c_SetInterval_Oord__class_OatLeastAtMost(X3,X4,X1))=c_Orderings_Obot__class_Obot(tc_fun(X1,tc_bool))|~class_Orderings_Oorder(X1))).
% 0.40/1.02 cnf(i_0_1893, 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)))).
% 0.40/1.02 cnf(i_0_1571, 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)))).
% 0.40/1.02 cnf(i_0_1570, 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)))).
% 0.40/1.02 cnf(i_0_1799, plain, (hAPP(hAPP(c_HOL_Ominus__class_Ominus(tc_fun(X1,tc_bool)),c_Set_Oinsert(X2,X3,X1)),X4)=hAPP(hAPP(c_HOL_Ominus__class_Ominus(tc_fun(X1,tc_bool)),X3),X4)|~hBOOL(c_in(X2,X4,X1)))).
% 0.40/1.02 cnf(i_0_1115, plain, (X1=X2|hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(X3),X1),X2))|hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(X3),X2),X1))|~class_Ring__and__Field_Oordered__idom(X3))).
% 0.40/1.02 cnf(i_0_1295, plain, (hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(X1,tc_bool)),c_SetInterval_Oord__class_OatLeastAtMost(X2,X3,X1)),c_SetInterval_Oord__class_OgreaterThanAtMost(X3,X4,X1))=c_Orderings_Obot__class_Obot(tc_fun(X1,tc_bool))|~class_Orderings_Oorder(X1))).
% 0.40/1.02 cnf(i_0_1491, plain, (hBOOL(hAPP(hAPP(c_lessequals(X1),X2),X3))|~class_Orderings_Oorder(X1)|~hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(tc_fun(X1,tc_bool)),c_SetInterval_Oord__class_OatLeastAtMost(X4,X2,X1)),c_SetInterval_Oord__class_OatLeastAtMost(X5,X3,X1)))|~hBOOL(hAPP(hAPP(c_lessequals(X1),X4),X2)))).
% 0.40/1.02 cnf(i_0_1854, plain, (hBOOL(hAPP(hAPP(c_lessequals(X1),X2),X3))|~class_Orderings_Oorder(X1)|~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)))|~hBOOL(hAPP(hAPP(c_lessequals(X1),X3),X4)))).
% 0.40/1.02 cnf(i_0_1492, plain, (hBOOL(hAPP(hAPP(c_lessequals(X1),X2),X3))|~class_Orderings_Oorder(X1)|~hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(tc_fun(X1,tc_bool)),c_SetInterval_Oord__class_OatLeastAtMost(X3,X4,X1)),c_SetInterval_Oord__class_OatLeastAtMost(X2,X5,X1)))|~hBOOL(hAPP(hAPP(c_lessequals(X1),X3),X4)))).
% 0.40/1.02 cnf(i_0_1711, plain, (hBOOL(hAPP(hAPP(c_lessequals(X1),hAPP(c_Finite__Set_Ofold1(c_Lattices_Olower__semilattice__class_Oinf(X1),X1),X2)),X3))|~class_Lattices_Olower__semilattice(X1)|~c_Finite__Set_Ofinite(X2,X1)|~hBOOL(c_in(X3,X2,X1)))).
% 0.40/1.02 cnf(i_0_1423, plain, (hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(X1,tc_bool)),c_SetInterval_Oord__class_OgreaterThanAtMost(X2,X3,X1)),c_SetInterval_Oord__class_OgreaterThanAtMost(X3,X4,X1))=c_Orderings_Obot__class_Obot(tc_fun(X1,tc_bool))|~class_Orderings_Oorder(X1))).
% 0.40/1.02 cnf(i_0_1415, 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)))).
% 0.40/1.02 cnf(i_0_1414, 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)))).
% 0.40/1.02 cnf(i_0_1127, 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)))).
% 0.40/1.02 cnf(i_0_1128, 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)))).
% 0.40/1.02 cnf(i_0_1856, plain, (hAPP(hAPP(X1,X2),hAPP(hAPP(X1,X3),X4))=hAPP(hAPP(X1,X3),hAPP(hAPP(X1,X2),X4))|~c_OrderedGroup_Oab__semigroup__mult(X1,X5))).
% 0.40/1.02 cnf(i_0_1628, plain, (hBOOL(hAPP(hAPP(c_lessequals(tc_nat),c_Finite__Set_Ocard(c_Set_Oimage(X1,X2,X3,X4),X4)),c_Finite__Set_Ocard(X2,X3)))|~c_Finite__Set_Ofinite(X2,X3))).
% 0.40/1.02 cnf(i_0_1533, plain, (hAPP(c_Fun_Othe__inv__into(c_Orderings_Otop__class_Otop(tc_fun(X1,tc_bool)),X2,X1,X3),hAPP(X2,X4))=X4|~c_Fun_Oinj__on(X2,c_Orderings_Otop__class_Otop(tc_fun(X1,tc_bool)),X1,X3))).
% 0.40/1.02 cnf(i_0_1626, plain, (hBOOL(hAPP(hAPP(c_lessequals(tc_nat),c_Finite__Set_Ocard(X1,X2)),c_Finite__Set_Ocard(X3,X2)))|~c_Finite__Set_Ofinite(X3,X2)|~hBOOL(hAPP(hAPP(c_lessequals(tc_fun(X2,tc_bool)),X1),X3)))).
% 0.40/1.02 cnf(i_0_1163, plain, (hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(tc_nat),c_Finite__Set_Ocard(X1,X2)),c_Finite__Set_Ocard(X3,X2)))|~c_Finite__Set_Ofinite(X3,X2)|~hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(tc_fun(X2,tc_bool)),X1),X3)))).
% 0.40/1.02 cnf(i_0_1808, plain, (hBOOL(c_in(hAPP(X1,X2),X3,X4))|~hBOOL(hAPP(hAPP(c_lessequals(tc_fun(X4,tc_bool)),c_Set_Oimage(X1,X5,X6,X4)),X3))|~hBOOL(c_in(X2,X5,X6)))).
% 0.40/1.02 cnf(i_0_1481, plain, (hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(X1,tc_bool)),X2),c_Set_Oinsert(X3,X4,X1))=hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(X1,tc_bool)),X2),X4)|hBOOL(c_in(X3,X2,X1)))).
% 0.40/1.02 cnf(i_0_1240, plain, (hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(tc_nat),c_Suc(X1)),X2))|~hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(tc_nat),X3),X2))|~hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(tc_nat),X1),X3)))).
% 0.40/1.02 cnf(i_0_1177, plain, (hBOOL(hAPP(hAPP(c_lessequals(tc_fun(X1,tc_bool)),hAPP(c_HOL_Ouminus__class_Ouminus(tc_fun(X1,tc_bool)),X2)),hAPP(c_HOL_Ouminus__class_Ouminus(tc_fun(X1,tc_bool)),X3)))|~hBOOL(hAPP(hAPP(c_lessequals(tc_fun(X1,tc_bool)),X3),X2)))).
% 0.40/1.02 cnf(i_0_1480, plain, (hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(X1,tc_bool)),c_Set_Oinsert(X2,X3,X1)),X4)=hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(X1,tc_bool)),X3),X4)|hBOOL(c_in(X2,X4,X1)))).
% 0.40/1.02 cnf(i_0_1622, plain, (c_Fun_Oinj__on(c_Fun_Ofun__upd(X1,X2,X3,X4,X5),X6,X4,X5)|hBOOL(c_in(X3,c_Set_Oimage(X1,X6,X4,X5),X5))|~c_Fun_Oinj__on(X1,X6,X4,X5))).
% 0.40/1.02 cnf(i_0_1173, plain, (hAPP(hAPP(X1,hAPP(hAPP(X1,X2),X3)),X4)=hAPP(hAPP(X1,X2),hAPP(hAPP(X1,X3),X4))|~c_Lattices_Olower__semilattice(X5,X6,X1,X7))).
% 0.40/1.02 cnf(i_0_1705, plain, (hAPP(X1,c_ATP__Linkup_Osko__Fun__Xrange__ex1__eq__1__1(X2,X1,X3,X4))=X2|~c_Fun_Oinj__on(X1,c_Orderings_Otop__class_Otop(tc_fun(X4,tc_bool)),X4,X3)|~hBOOL(c_in(X2,c_Set_Oimage(X1,c_Orderings_Otop__class_Otop(tc_fun(X4,tc_bool)),X4,X3),X3)))).
% 0.40/1.02 cnf(i_0_1180, plain, (hBOOL(hAPP(hAPP(c_lessequals(X1),hAPP(c_HOL_Ouminus__class_Ouminus(X1),X2)),hAPP(c_HOL_Ouminus__class_Ouminus(X1),X3)))|~class_OrderedGroup_Opordered__ab__group__add(X1)|~hBOOL(hAPP(hAPP(c_lessequals(X1),X3),X2)))).
% 0.40/1.02 cnf(i_0_1078, plain, (hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(X1),hAPP(c_HOL_Ouminus__class_Ouminus(X1),X2)),hAPP(c_HOL_Ouminus__class_Ouminus(X1),X3)))|~class_OrderedGroup_Opordered__ab__group__add(X1)|~hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(X1),X3),X2)))).
% 0.40/1.02 cnf(i_0_1721, 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))))).
% 0.40/1.02 cnf(i_0_1691, plain, (hAPP(hAPP(c_Orderings_Oord__class_Omax(X1),X2),hAPP(c_Finite__Set_Olinorder__class_OMax(X1),X3))=hAPP(c_Finite__Set_Olinorder__class_OMax(X1),c_Set_Oinsert(X2,X3,X1))|X3=c_Orderings_Obot__class_Obot(tc_fun(X1,tc_bool))|~c_Finite__Set_Ofinite(X3,X1)|~class_Orderings_Olinorder(X1))).
% 0.40/1.02 cnf(i_0_1952, plain, (hAPP(hAPP(c_HOL_Ominus__class_Ominus(tc_fun(X1,tc_bool)),c_Set_Oinsert(X2,X3,X1)),c_Set_Oinsert(X2,c_Orderings_Obot__class_Obot(tc_fun(X1,tc_bool)),X1))=X3|hBOOL(c_in(X2,X3,X1)))).
% 0.40/1.02 cnf(i_0_1367, plain, (hBOOL(hAPP(hAPP(X1,X2),hAPP(hAPP(X3,X4),X5)))|~c_Lattices_Olower__semilattice(X1,X6,X3,X7)|~hBOOL(hAPP(hAPP(X1,X2),X5))|~hBOOL(hAPP(hAPP(X1,X2),X4)))).
% 0.40/1.02 cnf(i_0_1470, plain, (hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(tc_fun(X1,tc_bool)),X2),X3))|~c_Finite__Set_Ofinite(X3,X1)|~hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(tc_nat),c_Finite__Set_Ocard(X2,X1)),c_Finite__Set_Ocard(X3,X1)))|~hBOOL(hAPP(hAPP(c_lessequals(tc_fun(X1,tc_bool)),X2),X3)))).
% 0.40/1.02 cnf(i_0_1723, 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)))).
% 0.40/1.02 cnf(i_0_1517, 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)),hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(X1,tc_bool)),X3),X4)),X2)!=hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(X1,tc_bool)),X3),hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(X1,tc_bool)),X4),X2)))).
% 0.40/1.02 cnf(i_0_1144, plain, (hBOOL(hAPP(hAPP(c_lessequals(X1),X2),X3))|hBOOL(hAPP(hAPP(c_lessequals(X1),X2),X4))|~hBOOL(hAPP(hAPP(c_lessequals(X1),X2),hAPP(hAPP(c_Orderings_Oord__class_Omax(X1),X4),X3)))|~class_Orderings_Olinorder(X1))).
% 0.40/1.02 cnf(i_0_1066, plain, (hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(X1),X2),X3))|hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(X1),X2),X4))|~hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(X1),X2),hAPP(hAPP(c_Orderings_Oord__class_Omax(X1),X4),X3)))|~class_Orderings_Olinorder(X1))).
% 0.40/1.02 cnf(i_0_1692, plain, (hAPP(hAPP(c_Orderings_Oord__class_Omin(X1),X2),hAPP(c_Finite__Set_Olinorder__class_OMin(X1),X3))=hAPP(c_Finite__Set_Olinorder__class_OMin(X1),c_Set_Oinsert(X2,X3,X1))|X3=c_Orderings_Obot__class_Obot(tc_fun(X1,tc_bool))|~c_Finite__Set_Ofinite(X3,X1)|~class_Orderings_Olinorder(X1))).
% 0.40/1.02 cnf(i_0_1460, plain, (hAPP(hAPP(c_HOL_Oplus__class_Oplus(X1),hAPP(c_HOL_Ouminus__class_Ouminus(X1),X2)),hAPP(c_HOL_Ouminus__class_Ouminus(X1),X3))=hAPP(c_HOL_Ouminus__class_Ouminus(X1),hAPP(hAPP(c_HOL_Oplus__class_Oplus(X1),X3),X2))|~class_OrderedGroup_Ogroup__add(X1))).
% 0.40/1.02 cnf(i_0_1055, plain, (hBOOL(hAPP(hAPP(c_lessequals(X1),X2),X3))|hBOOL(hAPP(hAPP(c_lessequals(X1),X4),X3))|~hBOOL(hAPP(hAPP(c_lessequals(X1),hAPP(hAPP(c_Orderings_Oord__class_Omin(X1),X4),X2)),X3))|~class_Orderings_Olinorder(X1))).
% 0.40/1.02 cnf(i_0_1074, plain, (hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(X1),X2),X3))|hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(X1),X4),X3))|~hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(X1),hAPP(hAPP(c_Orderings_Oord__class_Omin(X1),X4),X2)),X3))|~class_Orderings_Olinorder(X1))).
% 0.40/1.02 cnf(i_0_1579, plain, (hBOOL(hAPP(hAPP(c_lessequals(X1),X2),hAPP(c_HOL_Ouminus__class_Ouminus(X1),X3)))|~class_OrderedGroup_Opordered__ab__group__add(X1)|~hBOOL(hAPP(hAPP(c_lessequals(X1),X3),hAPP(c_HOL_Ouminus__class_Ouminus(X1),X2))))).
% 0.40/1.02 cnf(i_0_1459, plain, (hAPP(hAPP(c_HOL_Oplus__class_Oplus(X1),hAPP(c_HOL_Ouminus__class_Ouminus(X1),X2)),hAPP(c_HOL_Ouminus__class_Ouminus(X1),X3))=hAPP(c_HOL_Ouminus__class_Ouminus(X1),hAPP(hAPP(c_HOL_Oplus__class_Oplus(X1),X2),X3))|~class_OrderedGroup_Oab__group__add(X1))).
% 0.40/1.02 cnf(i_0_1618, plain, (hBOOL(hAPP(hAPP(c_lessequals(tc_fun(X1,tc_bool)),X2),X3))|hBOOL(c_in(X4,X2,X1))|hBOOL(c_in(X4,X3,X1))|~hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(tc_fun(X1,tc_bool)),X2),c_Set_Oinsert(X4,X3,X1))))).
% 0.40/1.02 cnf(i_0_1274, 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)))).
% 0.40/1.02 cnf(i_0_1428, plain, (hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(X1),hAPP(c_HOL_Ouminus__class_Ouminus(X1),X2)),hAPP(c_HOL_Ouminus__class_Ouminus(X1),X3))=hAPP(c_HOL_Ouminus__class_Ouminus(X1),hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(X1),X2),X3))|~class_Lattices_Oboolean__algebra(X1))).
% 0.40/1.02 cnf(i_0_1429, plain, (hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(X1),hAPP(c_HOL_Ouminus__class_Ouminus(X1),X2)),hAPP(c_HOL_Ouminus__class_Ouminus(X1),X3))=hAPP(c_HOL_Ouminus__class_Ouminus(X1),hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(X1),X2),X3))|~class_OrderedGroup_Olordered__ab__group__add(X1))).
% 0.40/1.02 cnf(i_0_1583, plain, (hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(X1),X2),hAPP(c_HOL_Ouminus__class_Ouminus(X1),X3)))|~class_OrderedGroup_Opordered__ab__group__add(X1)|~hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(X1),X3),hAPP(c_HOL_Ouminus__class_Ouminus(X1),X2))))).
% 0.40/1.02 cnf(i_0_1581, plain, (hBOOL(hAPP(hAPP(c_lessequals(X1),hAPP(c_HOL_Ouminus__class_Ouminus(X1),X2)),X3))|~class_OrderedGroup_Opordered__ab__group__add(X1)|~hBOOL(hAPP(hAPP(c_lessequals(X1),hAPP(c_HOL_Ouminus__class_Ouminus(X1),X3)),X2)))).
% 0.40/1.02 cnf(i_0_1538, plain, (hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(X1),hAPP(c_HOL_Ouminus__class_Ouminus(X1),X2)),hAPP(c_HOL_Ouminus__class_Ouminus(X1),X3))=hAPP(c_HOL_Ouminus__class_Ouminus(X1),hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(X1),X2),X3))|~class_Lattices_Oboolean__algebra(X1))).
% 0.40/1.02 cnf(i_0_1663, 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)))).
% 0.40/1.02 cnf(i_0_1585, plain, (hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(X1),hAPP(c_HOL_Ouminus__class_Ouminus(X1),X2)),X3))|~class_OrderedGroup_Opordered__ab__group__add(X1)|~hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(X1),hAPP(c_HOL_Ouminus__class_Ouminus(X1),X3)),X2)))).
% 0.40/1.02 cnf(i_0_1539, plain, (hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(X1),hAPP(c_HOL_Ouminus__class_Ouminus(X1),X2)),hAPP(c_HOL_Ouminus__class_Ouminus(X1),X3))=hAPP(c_HOL_Ouminus__class_Ouminus(X1),hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(X1),X2),X3))|~class_OrderedGroup_Olordered__ab__group__add(X1))).
% 0.40/1.02 cnf(i_0_1356, plain, (hAPP(hAPP(c_Orderings_Oord__class_Omin(X1),hAPP(hAPP(c_Orderings_Oord__class_Omin(X1),X2),X3)),X4)=hAPP(hAPP(c_Orderings_Oord__class_Omin(X1),X2),hAPP(hAPP(c_Orderings_Oord__class_Omin(X1),X3),X4))|~class_Orderings_Olinorder(X1))).
% 0.40/1.02 cnf(i_0_1409, plain, (c_Lattices_Olower__semilattice(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),X1)|~class_Lattices_Oupper__semilattice(X1))).
% 0.40/1.02 cnf(i_0_1263, plain, (c_Lattices_Olower__semilattice(c_COMBC(c_lessequals(X1),X1,X1,tc_bool),c_COMBC(c_HOL_Oord__class_Oless(X1),X1,X1,tc_bool),c_Orderings_Oord__class_Omax(X1),X1)|~class_Orderings_Olinorder(X1))).
% 0.40/1.02 cnf(i_0_1838, plain, (hBOOL(hAPP(hAPP(c_lessequals(tc_fun(X1,tc_bool)),X2),X3))|~c_Fun_Oinj__on(X4,c_Orderings_Otop__class_Otop(tc_fun(X1,tc_bool)),X1,X5)|~hBOOL(hAPP(hAPP(c_lessequals(tc_fun(X5,tc_bool)),c_Set_Oimage(X4,X2,X1,X5)),c_Set_Oimage(X4,X3,X1,X5))))).
% 0.40/1.02 cnf(i_0_1551, plain, (hAPP(hAPP(c_Orderings_Oord__class_Omax(X1),hAPP(hAPP(c_Orderings_Oord__class_Omax(X1),X2),X3)),X4)=hAPP(hAPP(c_Orderings_Oord__class_Omax(X1),X2),hAPP(hAPP(c_Orderings_Oord__class_Omax(X1),X3),X4))|~class_Orderings_Olinorder(X1))).
% 0.40/1.02 cnf(i_0_1485, plain, (c_Set_Oinsert(X1,hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(X2,tc_bool)),X3),X4),X2)=hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(X2,tc_bool)),X3),c_Set_Oinsert(X1,X4,X2))|~hBOOL(c_in(X1,X3,X2)))).
% 0.40/1.02 cnf(i_0_1484, plain, (c_Set_Oinsert(X1,hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(X2,tc_bool)),X3),X4),X2)=hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(X2,tc_bool)),c_Set_Oinsert(X1,X3,X2)),X4)|~hBOOL(c_in(X1,X4,X2)))).
% 0.40/1.02 cnf(i_0_1185, plain, (hBOOL(hAPP(hAPP(c_lessequals(X1),X2),hAPP(hAPP(c_Orderings_Oord__class_Omin(X1),X3),X4)))|~hBOOL(hAPP(hAPP(c_lessequals(X1),X2),X4))|~hBOOL(hAPP(hAPP(c_lessequals(X1),X2),X3))|~class_Orderings_Olinorder(X1))).
% 0.40/1.02 cnf(i_0_1357, plain, (hAPP(hAPP(c_Orderings_Oord__class_Omin(X1),X2),hAPP(hAPP(c_Orderings_Oord__class_Omin(X1),X3),X4))=hAPP(hAPP(c_Orderings_Oord__class_Omin(X1),X3),hAPP(hAPP(c_Orderings_Oord__class_Omin(X1),X2),X4))|~class_Orderings_Olinorder(X1))).
% 0.40/1.02 cnf(i_0_1671, plain, (hAPP(hAPP(c_Finite__Set_Ofold(X1,X2,X2),X3),X4)=hAPP(c_Finite__Set_Ofold1(X1,X2),c_Set_Oinsert(X3,X4,X2))|hBOOL(c_in(X3,X4,X2))|~c_OrderedGroup_Oab__semigroup__mult(X1,X2)|~c_Finite__Set_Ofinite(X4,X2))).
% 0.40/1.02 cnf(i_0_1197, plain, (hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(X1),X2),hAPP(hAPP(c_Orderings_Oord__class_Omin(X1),X3),X4)))|~hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(X1),X2),X4))|~hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(X1),X2),X3))|~class_Orderings_Olinorder(X1))).
% 0.40/1.02 cnf(i_0_1166, plain, (hBOOL(hAPP(hAPP(c_lessequals(X1),hAPP(hAPP(c_Orderings_Oord__class_Omax(X1),X2),X3)),X4))|~hBOOL(hAPP(hAPP(c_lessequals(X1),X3),X4))|~hBOOL(hAPP(hAPP(c_lessequals(X1),X2),X4))|~class_Orderings_Olinorder(X1))).
% 0.40/1.02 cnf(i_0_1194, plain, (hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(X1),hAPP(hAPP(c_Orderings_Oord__class_Omax(X1),X2),X3)),X4))|~hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(X1),X3),X4))|~hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(X1),X2),X4))|~class_Orderings_Olinorder(X1))).
% 0.40/1.02 cnf(i_0_1915, 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)))).
% 0.40/1.02 cnf(i_0_1230, plain, (hAPP(hAPP(c_HOL_Oplus__class_Oplus(X1),X2),hAPP(hAPP(c_HOL_Oplus__class_Oplus(X1),X3),X4))=hAPP(hAPP(c_HOL_Oplus__class_Oplus(X1),X3),hAPP(hAPP(c_HOL_Oplus__class_Oplus(X1),X2),X4))|~class_OrderedGroup_Ocomm__monoid__add(X1))).
% 0.40/1.02 cnf(i_0_1489, plain, (hBOOL(hAPP(hAPP(c_lessequals(X1),X2),X3))|hBOOL(hAPP(hAPP(c_lessequals(X1),X4),X3))|~hBOOL(hAPP(hAPP(c_lessequals(tc_fun(X1,tc_bool)),c_SetInterval_Oord__class_OatLeastLessThan(X3,X4,X1)),c_SetInterval_Oord__class_OatLeastLessThan(X2,X5,X1)))|~class_Orderings_Olinorder(X1))).
% 0.40/1.02 cnf(i_0_1488, plain, (hBOOL(hAPP(hAPP(c_lessequals(X1),X2),X3))|hBOOL(hAPP(hAPP(c_lessequals(X1),X2),X4))|~hBOOL(hAPP(hAPP(c_lessequals(tc_fun(X1,tc_bool)),c_SetInterval_Oord__class_OatLeastLessThan(X4,X2,X1)),c_SetInterval_Oord__class_OatLeastLessThan(X5,X3,X1)))|~class_Orderings_Olinorder(X1))).
% 0.40/1.02 cnf(i_0_1479, plain, (c_Finite__Set_Ofold__graph(X1,X2,c_Set_Oinsert(X3,X4,X5),hAPP(hAPP(X1,X3),X6),X5,X7)|hBOOL(c_in(X3,X4,X5))|~c_Finite__Set_Ofold__graph(X1,X2,X4,X6,X5,X7))).
% 0.40/1.02 cnf(i_0_1366, plain, (c_Finite__Set_Osetsum(c_COMBB(hAPP(c_HOL_Otimes__class_Otimes(X1),X2),X3,X1,X1,X4),X5,X4,X1)=hAPP(hAPP(c_HOL_Otimes__class_Otimes(X1),X2),c_Finite__Set_Osetsum(X3,X5,X4,X1))|~class_Ring__and__Field_Osemiring__0(X1))).
% 0.40/1.02 cnf(i_0_1805, plain, (c_Set_Oinsert(X1,hAPP(hAPP(c_HOL_Ominus__class_Ominus(tc_fun(X2,tc_bool)),X3),X4),X2)=hAPP(hAPP(c_HOL_Ominus__class_Ominus(tc_fun(X2,tc_bool)),c_Set_Oinsert(X1,X3,X2)),X4)|hBOOL(c_in(X1,X4,X2)))).
% 0.40/1.02 cnf(i_0_1359, plain, (hBOOL(hAPP(hAPP(c_lessequals(tc_nat),hAPP(hAPP(c_HOL_Ominus__class_Ominus(tc_nat),X1),X2)),hAPP(hAPP(c_HOL_Ominus__class_Ominus(tc_nat),X3),X2)))|~hBOOL(hAPP(hAPP(c_lessequals(tc_nat),X1),X3)))).
% 0.40/1.02 cnf(i_0_1358, plain, (hBOOL(hAPP(hAPP(c_lessequals(tc_nat),hAPP(hAPP(c_HOL_Ominus__class_Ominus(tc_nat),X1),X2)),hAPP(hAPP(c_HOL_Ominus__class_Ominus(tc_nat),X1),X3)))|~hBOOL(hAPP(hAPP(c_lessequals(tc_nat),X3),X2)))).
% 0.40/1.02 cnf(i_0_1793, 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)))).
% 0.40/1.02 cnf(i_0_1234, plain, (hAPP(hAPP(c_HOL_Oplus__class_Oplus(X1),X2),hAPP(hAPP(c_HOL_Oplus__class_Oplus(X1),X3),X4))=hAPP(hAPP(c_HOL_Oplus__class_Oplus(X1),X3),hAPP(hAPP(c_HOL_Oplus__class_Oplus(X1),X2),X4))|~class_Ring__and__Field_Ocomm__semiring__1(X1))).
% 0.40/1.02 cnf(i_0_1227, plain, (hAPP(hAPP(c_HOL_Oplus__class_Oplus(X1),hAPP(hAPP(c_HOL_Oplus__class_Oplus(X1),X2),X3)),X4)=hAPP(hAPP(c_HOL_Oplus__class_Oplus(X1),X2),hAPP(hAPP(c_HOL_Oplus__class_Oplus(X1),X3),X4))|~class_Ring__and__Field_Ocomm__semiring__1(X1))).
% 0.40/1.02 cnf(i_0_1267, 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)))).
% 0.40/1.02 cnf(i_0_1658, 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)))).
% 0.40/1.02 cnf(i_0_1795, plain, (hBOOL(hAPP(hAPP(c_lessequals(tc_fun(X1,tc_bool)),X2),c_Set_Oinsert(X3,X4,X1)))|~hBOOL(hAPP(hAPP(c_lessequals(tc_fun(X1,tc_bool)),hAPP(hAPP(c_HOL_Ominus__class_Ominus(tc_fun(X1,tc_bool)),X2),c_Set_Oinsert(X3,c_Orderings_Obot__class_Obot(tc_fun(X1,tc_bool)),X1))),X4))|~hBOOL(c_in(X3,X2,X1)))).
% 0.40/1.02 cnf(i_0_1228, plain, (hAPP(hAPP(c_HOL_Oplus__class_Oplus(X1),X2),hAPP(hAPP(c_HOL_Oplus__class_Oplus(X1),X3),X4))=hAPP(hAPP(c_HOL_Oplus__class_Oplus(X1),X3),hAPP(hAPP(c_HOL_Oplus__class_Oplus(X1),X2),X4))|~class_OrderedGroup_Oab__group__add(X1))).
% 0.40/1.02 cnf(i_0_1453, 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))).
% 0.40/1.02 cnf(i_0_1229, plain, (hAPP(hAPP(c_HOL_Oplus__class_Oplus(X1),hAPP(hAPP(c_HOL_Oplus__class_Oplus(X1),X2),X3)),X4)=hAPP(hAPP(c_HOL_Oplus__class_Oplus(X1),X2),hAPP(hAPP(c_HOL_Oplus__class_Oplus(X1),X3),X4))|~class_OrderedGroup_Ocomm__monoid__add(X1))).
% 0.40/1.02 cnf(i_0_1231, plain, (hAPP(hAPP(c_HOL_Oplus__class_Oplus(X1),hAPP(hAPP(c_HOL_Oplus__class_Oplus(X1),X2),X3)),X4)=hAPP(hAPP(c_HOL_Oplus__class_Oplus(X1),X2),hAPP(hAPP(c_HOL_Oplus__class_Oplus(X1),X3),X4))|~class_OrderedGroup_Oab__semigroup__add(X1))).
% 0.40/1.02 cnf(i_0_1616, plain, (hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(tc_fun(X1,tc_bool)),X2),c_Set_Oinsert(X3,X4,X1)))|hBOOL(c_in(X3,X2,X1))|~hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(tc_fun(X1,tc_bool)),X2),X4)))).
% 0.40/1.02 cnf(i_0_1102, plain, (hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(tc_fun(X1,X2)),X3),X4))|hBOOL(hAPP(hAPP(c_lessequals(tc_fun(X1,X2)),X4),X3))|~class_HOL_Oord(X2)|~hBOOL(hAPP(hAPP(c_lessequals(tc_fun(X1,X2)),X3),X4)))).
% 0.40/1.02 cnf(i_0_1454, 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))).
% 0.40/1.02 cnf(i_0_1450, 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))).
% 0.40/1.02 cnf(i_0_1067, 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))).
% 0.40/1.02 cnf(i_0_1070, 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))).
% 0.40/1.02 cnf(i_0_1822, 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))).
% 0.40/1.02 cnf(i_0_1825, 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))).
% 0.40/1.02 cnf(i_0_1426, plain, (hAPP(c_HOL_Ouminus__class_Ouminus(X1),hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(X1),hAPP(c_HOL_Ouminus__class_Ouminus(X1),X2)),hAPP(c_HOL_Ouminus__class_Ouminus(X1),X3)))=hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(X1),X2),X3)|~class_OrderedGroup_Olordered__ab__group__add(X1))).
% 0.40/1.02 cnf(i_0_1617, plain, (hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(tc_fun(X1,tc_bool)),X2),c_Set_Oinsert(X3,X4,X1)))|hBOOL(c_in(X3,X4,X1))|~hBOOL(hAPP(hAPP(c_lessequals(tc_fun(X1,tc_bool)),X2),X4)))).
% 0.40/1.02 cnf(i_0_1068, 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))).
% 0.40/1.02 cnf(i_0_1329, plain, (hAPP(c_HOL_Ouminus__class_Ouminus(X1),hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(X1),hAPP(c_HOL_Ouminus__class_Ouminus(X1),X2)),hAPP(c_HOL_Ouminus__class_Ouminus(X1),X3)))=hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(X1),X2),X3)|~class_OrderedGroup_Olordered__ab__group__add(X1))).
% 0.40/1.02 cnf(i_0_1515, plain, (hAPP(hAPP(c_Finite__Set_Ofold(c_HOL_Oplus__class_Oplus(X1),X1,X1),X2),X3)=hAPP(c_Finite__Set_Ofold1(c_HOL_Oplus__class_Oplus(X1),X1),c_Set_Oinsert(X2,X3,X1))|hBOOL(c_in(X2,X3,X1))|~c_Finite__Set_Ofinite(X3,X1)|~class_OrderedGroup_Ocomm__monoid__add(X1))).
% 0.40/1.02 cnf(i_0_1514, plain, (hAPP(hAPP(c_Finite__Set_Ofold(c_HOL_Otimes__class_Otimes(X1),X1,X1),X2),X3)=hAPP(c_Finite__Set_Ofold1(c_HOL_Otimes__class_Otimes(X1),X1),c_Set_Oinsert(X2,X3,X1))|hBOOL(c_in(X2,X3,X1))|~class_OrderedGroup_Oab__semigroup__mult(X1)|~c_Finite__Set_Ofinite(X3,X1))).
% 0.40/1.02 cnf(i_0_1635, plain, (c_Finite__Set_Ofold__graph(X1,X2,c_Set_Oinsert(X3,X4,X5),hAPP(hAPP(X1,X2),X6),X5,X5)|hBOOL(c_in(X3,X4,X5))|~c_OrderedGroup_Oab__semigroup__mult(X1,X5)|~c_Finite__Set_Ofold__graph(X1,X3,X4,X6,X5,X5))).
% 0.40/1.02 cnf(i_0_1220, plain, (hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(X1),X2),c_Complete__Lattice_OInf__class_OInf(X3,X1))=hAPP(hAPP(c_Finite__Set_Ofold(c_Lattices_Olower__semilattice__class_Oinf(X1),X1,X1),X2),X3)|~class_Complete__Lattice_Ocomplete__lattice(X1)|~c_Finite__Set_Ofinite(X3,X1))).
% 0.40/1.02 cnf(i_0_1806, plain, (c_Finite__Set_Ocard(hAPP(hAPP(c_HOL_Ominus__class_Ominus(tc_fun(X1,tc_bool)),X2),c_Set_Oinsert(X3,c_Orderings_Obot__class_Obot(tc_fun(X1,tc_bool)),X1)),X1)=c_Finite__Set_Ocard(X2,X1)|hBOOL(c_in(X3,X2,X1))|~c_Finite__Set_Ofinite(X2,X1))).
% 0.40/1.02 cnf(i_0_1361, plain, (hBOOL(hAPP(hAPP(c_lessequals(tc_nat),X1),X2))|~hBOOL(hAPP(hAPP(c_lessequals(tc_nat),hAPP(hAPP(c_HOL_Ominus__class_Ominus(tc_nat),X1),X3)),hAPP(hAPP(c_HOL_Ominus__class_Ominus(tc_nat),X2),X3)))|~hBOOL(hAPP(hAPP(c_lessequals(tc_nat),X3),X2))|~hBOOL(hAPP(hAPP(c_lessequals(tc_nat),X3),X1)))).
% 0.40/1.02 cnf(i_0_1286, plain, (hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(tc_nat),X1),X2))|~hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(tc_nat),hAPP(hAPP(c_HOL_Ominus__class_Ominus(tc_nat),X1),X3)),hAPP(hAPP(c_HOL_Ominus__class_Ominus(tc_nat),X2),X3)))|~hBOOL(hAPP(hAPP(c_lessequals(tc_nat),X3),X2))|~hBOOL(hAPP(hAPP(c_lessequals(tc_nat),X3),X1)))).
% 0.40/1.02 cnf(i_0_1069, 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))).
% 0.40/1.02 cnf(i_0_1858, 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)))|hBOOL(hAPP(hAPP(c_lessequals(X1),X2),X3))|~class_Orderings_Oorder(X1))).
% 0.40/1.02 cnf(i_0_1709, plain, (hBOOL(c_in(hAPP(c_Fun_Othe__inv__into(X1,X2,X3,X4),X5),X6,X3))|~c_Fun_Oinj__on(X2,X1,X3,X4)|~hBOOL(hAPP(hAPP(c_lessequals(tc_fun(X3,tc_bool)),X1),X6))|~hBOOL(c_in(X5,c_Set_Oimage(X2,X1,X3,X4),X4)))).
% 0.40/1.02 cnf(i_0_1541, plain, (hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(X1),X2),X3))|hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(X1),X3),X2))|~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))))).
% 0.40/1.02 cnf(i_0_1542, plain, (hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(X1),X2),X3))|hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(X1),X3),X2))|~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))))).
% 0.40/1.02 cnf(i_0_1953, plain, (c_Finite__Set_Ofinite(c_Set_Oimage(c_COMBB(X1,X2,X3,X4,X5),c_Orderings_Otop__class_Otop(tc_fun(X5,tc_bool)),X5,X4),X4)|~c_Finite__Set_Ofinite(c_Set_Oimage(X2,c_Orderings_Otop__class_Otop(tc_fun(X5,tc_bool)),X5,X3),X3))).
% 0.40/1.02 cnf(i_0_1676, plain, (c_Suc(c_Finite__Set_Ocard(hAPP(hAPP(c_HOL_Ominus__class_Ominus(tc_fun(X1,tc_bool)),X2),c_Set_Oinsert(X3,c_Orderings_Obot__class_Obot(tc_fun(X1,tc_bool)),X1)),X1))=c_Finite__Set_Ocard(c_Set_Oinsert(X3,X2,X1),X1)|~c_Finite__Set_Ofinite(X2,X1))).
% 0.40/1.02 cnf(i_0_1879, plain, (X1=c_Orderings_Obot__class_Obot(tc_fun(X2,tc_bool))|hBOOL(hAPP(hAPP(c_lessequals(X2),hAPP(c_Finite__Set_Olinorder__class_OMin(X2),X3)),hAPP(c_Finite__Set_Olinorder__class_OMin(X2),X1)))|~c_Finite__Set_Ofinite(X3,X2)|~hBOOL(hAPP(hAPP(c_lessequals(tc_fun(X2,tc_bool)),X1),X3))|~class_Orderings_Olinorder(X2))).
% 0.40/1.02 cnf(i_0_1829, plain, (X1=c_Orderings_Obot__class_Obot(tc_fun(X2,tc_bool))|hBOOL(hAPP(hAPP(c_lessequals(X2),hAPP(c_Finite__Set_Olinorder__class_OMax(X2),X1)),hAPP(c_Finite__Set_Olinorder__class_OMax(X2),X3)))|~c_Finite__Set_Ofinite(X3,X2)|~hBOOL(hAPP(hAPP(c_lessequals(tc_fun(X2,tc_bool)),X1),X3))|~class_Orderings_Olinorder(X2))).
% 0.40/1.02 cnf(i_0_1245, plain, (hBOOL(hAPP(hAPP(c_lessequals(X1),hAPP(hAPP(c_HOL_Oplus__class_Oplus(X1),X2),X3)),hAPP(hAPP(c_HOL_Oplus__class_Oplus(X1),X4),X3)))|~class_OrderedGroup_Opordered__ab__semigroup__add(X1)|~hBOOL(hAPP(hAPP(c_lessequals(X1),X2),X4)))).
% 0.40/1.02 cnf(i_0_1241, plain, (hBOOL(hAPP(hAPP(c_lessequals(X1),hAPP(hAPP(c_HOL_Oplus__class_Oplus(X1),X2),X3)),hAPP(hAPP(c_HOL_Oplus__class_Oplus(X1),X4),X3)))|~class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(X1)|~hBOOL(hAPP(hAPP(c_lessequals(X1),X2),X4)))).
% 0.40/1.02 cnf(i_0_1823, 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))).
% 0.40/1.02 cnf(i_0_1156, plain, (hAPP(hAPP(c_HOL_Oplus__class_Oplus(X1),hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(X1),X2),X3)),hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(X1),X2),X3))=hAPP(hAPP(c_HOL_Oplus__class_Oplus(X1),X2),X3)|~class_OrderedGroup_Olordered__ab__group__add(X1))).
% 0.40/1.02 cnf(i_0_1504, plain, (hAPP(hAPP(c_HOL_Ominus__class_Ominus(tc_fun(X1,tc_bool)),c_SetInterval_Oord__class_OatLeastLessThan(X2,X3,X1)),c_SetInterval_Oord__class_OatLeastLessThan(X2,X4,X1))=c_SetInterval_Oord__class_OatLeastLessThan(X4,X3,X1)|~hBOOL(hAPP(hAPP(c_lessequals(X1),X2),X4))|~class_Orderings_Olinorder(X1))).
% 0.40/1.02 cnf(i_0_1652, plain, (hBOOL(hAPP(hAPP(c_lessequals(tc_fun(X1,tc_bool)),c_Set_Ovimage(X2,X3,X1,X4)),c_Set_Ovimage(X2,X5,X1,X4)))|~hBOOL(hAPP(hAPP(c_lessequals(tc_fun(X4,tc_bool)),X3),X5)))).
% 0.40/1.02 cnf(i_0_1435, plain, (hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(X1),X2),X3))|hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(X1),X4),X5))|~class_Orderings_Oorder(X1)|~hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(tc_fun(X1,tc_bool)),c_SetInterval_Oord__class_OatLeastAtMost(X5,X2,X1)),c_SetInterval_Oord__class_OatLeastAtMost(X4,X3,X1)))|~hBOOL(hAPP(hAPP(c_lessequals(X1),X5),X2)))).
% 0.40/1.02 cnf(i_0_1699, plain, (hAPP(hAPP(c_HOL_Ominus__class_Ominus(tc_nat),c_Finite__Set_Ocard(X1,X2)),c_Finite__Set_Ocard(X3,X2))=c_Finite__Set_Ocard(hAPP(hAPP(c_HOL_Ominus__class_Ominus(tc_fun(X2,tc_bool)),X1),X3),X2)|~c_Finite__Set_Ofinite(X3,X2)|~hBOOL(hAPP(hAPP(c_lessequals(tc_fun(X2,tc_bool)),X3),X1)))).
% 0.40/1.02 cnf(i_0_1176, plain, (hAPP(hAPP(X1,X2),hAPP(hAPP(X1,X3),X4))=hAPP(hAPP(X1,X3),hAPP(hAPP(X1,X2),X4))|~c_Lattices_Olower__semilattice(X5,X6,X1,X7))).
% 0.40/1.02 cnf(i_0_1246, plain, (hBOOL(hAPP(hAPP(c_lessequals(X1),hAPP(hAPP(c_HOL_Oplus__class_Oplus(X1),X2),X3)),hAPP(hAPP(c_HOL_Oplus__class_Oplus(X1),X2),X4)))|~class_OrderedGroup_Opordered__ab__semigroup__add(X1)|~hBOOL(hAPP(hAPP(c_lessequals(X1),X3),X4)))).
% 0.40/1.02 cnf(i_0_1243, plain, (hBOOL(hAPP(hAPP(c_lessequals(X1),hAPP(hAPP(c_HOL_Oplus__class_Oplus(X1),X2),X3)),hAPP(hAPP(c_HOL_Oplus__class_Oplus(X1),X2),X4)))|~class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(X1)|~hBOOL(hAPP(hAPP(c_lessequals(X1),X3),X4)))).
% 0.40/1.02 cnf(i_0_1296, plain, (hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(X1),hAPP(hAPP(c_HOL_Oplus__class_Oplus(X1),X2),X3)),hAPP(hAPP(c_HOL_Oplus__class_Oplus(X1),X4),X3)))|~class_OrderedGroup_Opordered__cancel__ab__semigroup__add(X1)|~hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(X1),X2),X4)))).
% 0.40/1.02 cnf(i_0_1297, plain, (hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(X1),hAPP(hAPP(c_HOL_Oplus__class_Oplus(X1),X2),X3)),hAPP(hAPP(c_HOL_Oplus__class_Oplus(X1),X4),X3)))|~class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(X1)|~hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(X1),X2),X4)))).
% 0.40/1.02 cnf(i_0_1824, 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))).
% 0.40/1.02 cnf(i_0_1708, plain, (X1=c_Orderings_Obot__class_Obot(tc_fun(X2,tc_bool))|hBOOL(hAPP(hAPP(X3,X4),X5))|~c_Finite__Set_Ofinite(X1,X2)|~c_Lattices_Olower__semilattice(X3,X6,X7,X2)|~hBOOL(hAPP(hAPP(X3,X4),hAPP(c_Finite__Set_Ofold1(X7,X2),X1)))|~hBOOL(c_in(X5,X1,X2)))).
% 0.40/1.02 cnf(i_0_1675, plain, (hBOOL(hAPP(hAPP(c_lessequals(tc_nat),c_Finite__Set_Ocard(X1,X2)),c_Finite__Set_Ocard(X3,X4)))|~c_Fun_Oinj__on(X5,X1,X2,X4)|~c_Finite__Set_Ofinite(X3,X4)|~hBOOL(hAPP(hAPP(c_lessequals(tc_fun(X4,tc_bool)),c_Set_Oimage(X5,X1,X2,X4)),X3)))).
% 0.40/1.02 cnf(i_0_1852, 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)))).
% 0.40/1.02 cnf(i_0_1553, plain, (hAPP(hAPP(c_Orderings_Oord__class_Omax(X1),X2),hAPP(hAPP(c_Orderings_Oord__class_Omax(X1),X3),X4))=hAPP(hAPP(c_Orderings_Oord__class_Omax(X1),X3),hAPP(hAPP(c_Orderings_Oord__class_Omax(X1),X2),X4))|~class_Orderings_Olinorder(X1))).
% 0.40/1.02 cnf(i_0_1299, plain, (hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(X1),hAPP(hAPP(c_HOL_Oplus__class_Oplus(X1),X2),X3)),hAPP(hAPP(c_HOL_Oplus__class_Oplus(X1),X2),X4)))|~class_OrderedGroup_Opordered__cancel__ab__semigroup__add(X1)|~hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(X1),X3),X4)))).
% 0.40/1.02 cnf(i_0_1300, plain, (hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(X1),hAPP(hAPP(c_HOL_Oplus__class_Oplus(X1),X2),X3)),hAPP(hAPP(c_HOL_Oplus__class_Oplus(X1),X2),X4)))|~class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(X1)|~hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(X1),X3),X4)))).
% 0.40/1.02 cnf(i_0_1940, plain, (c_Hoare__Mirabelle_Ohoare__derivs(X1,c_Set_Oinsert(hAPP(hAPP(hAPP(c_Hoare__Mirabelle_Otriple_Otriple(t_a),X2),X3),X4),c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(t_a),tc_bool)),tc_Hoare__Mirabelle_Otriple(t_a)),t_a)|~c_Hoare__Mirabelle_Ohoare__derivs(X1,c_Set_Oinsert(hAPP(hAPP(hAPP(c_Hoare__Mirabelle_Otriple_Otriple(t_a),X5),X3),X4),c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(t_a),tc_bool)),tc_Hoare__Mirabelle_Otriple(t_a)),t_a)|~hBOOL(hAPP(hAPP(X5,v_sko__Hoare__Mirabelle__Xconseq1__1(X2,X5)),v_sko__Hoare__Mirabelle__Xconseq1__2(X2,X5))))).
% 0.40/1.02 cnf(i_0_1942, plain, (c_Hoare__Mirabelle_Ohoare__derivs(X1,c_Set_Oinsert(hAPP(hAPP(hAPP(c_Hoare__Mirabelle_Otriple_Otriple(t_a),X2),X3),X4),c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(t_a),tc_bool)),tc_Hoare__Mirabelle_Otriple(t_a)),t_a)|~c_Hoare__Mirabelle_Ohoare__derivs(X1,c_Set_Oinsert(hAPP(hAPP(hAPP(c_Hoare__Mirabelle_Otriple_Otriple(t_a),X2),X3),X5),c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(t_a),tc_bool)),tc_Hoare__Mirabelle_Otriple(t_a)),t_a)|~hBOOL(hAPP(hAPP(X4,v_sko__Hoare__Mirabelle__Xconseq2__1(X4,X5)),v_sko__Hoare__Mirabelle__Xconseq2__2(X4,X5))))).
% 0.40/1.02 cnf(i_0_1700, plain, (hAPP(c_Finite__Set_Ofold1(X1,X2),c_Set_Oinsert(X3,X4,X2))=hAPP(hAPP(X1,X3),hAPP(c_Finite__Set_Ofold1(X1,X2),X4))|X4=c_Orderings_Obot__class_Obot(tc_fun(X2,tc_bool))|~c_OrderedGroup_Oab__semigroup__idem__mult(X1,X2)|~c_Finite__Set_Ofinite(X4,X2))).
% 0.40/1.02 cnf(i_0_1667, plain, (c_Suc(c_Finite__Set_Ocard(hAPP(hAPP(c_HOL_Ominus__class_Ominus(tc_fun(X1,tc_bool)),X2),c_Set_Oinsert(X3,c_Orderings_Obot__class_Obot(tc_fun(X1,tc_bool)),X1)),X1))=c_Finite__Set_Ocard(X2,X1)|~c_Finite__Set_Ofinite(X2,X1)|~hBOOL(c_in(X3,X2,X1)))).
% 0.40/1.02 cnf(i_0_1686, plain, (X1=c_Orderings_Obot__class_Obot(tc_fun(X2,tc_bool))|hBOOL(hAPP(hAPP(c_lessequals(X2),X3),X4))|~class_Lattices_Olower__semilattice(X2)|~c_Finite__Set_Ofinite(X1,X2)|~hBOOL(hAPP(hAPP(c_lessequals(X2),X3),hAPP(c_Finite__Set_Ofold1(c_Lattices_Olower__semilattice__class_Oinf(X2),X2),X1)))|~hBOOL(c_in(X4,X1,X2)))).
% 0.40/1.02 cnf(i_0_1508, plain, (X1=c_Orderings_Obot__class_Obot(tc_fun(X2,tc_bool))|hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(X2),X3),X4))|~c_Finite__Set_Ofinite(X1,X2)|~hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(X2),X3),hAPP(c_Finite__Set_Ofold1(c_Orderings_Oord__class_Omin(X2),X2),X1)))|~hBOOL(c_in(X4,X1,X2))|~class_Orderings_Olinorder(X2))).
% 0.40/1.02 cnf(i_0_1057, plain, (c_Fun_Ofun__upd(c_Fun_Ofun__upd(X1,X2,X3,X4,X5),X6,X7,X4,X5)=c_Fun_Ofun__upd(c_Fun_Ofun__upd(X1,X6,X7,X4,X5),X2,X3,X4,X5)|X2=X6)).
% 0.40/1.02 cnf(i_0_1075, plain, (X1=X2|X3=X4|hAPP(hAPP(c_HOL_Oplus__class_Oplus(X5),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X5),X1),X3)),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X5),X2),X4))!=hAPP(hAPP(c_HOL_Oplus__class_Oplus(X5),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X5),X1),X4)),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X5),X2),X3))|~class_Int_Onumber__ring(X5)|~class_Ring__and__Field_Oidom(X5))).
% 0.40/1.02 cnf(i_0_1399, plain, (hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(tc_nat),hAPP(hAPP(c_HOL_Ominus__class_Ominus(tc_nat),X1),X2)),hAPP(hAPP(c_HOL_Ominus__class_Ominus(tc_nat),X3),X2)))|~hBOOL(hAPP(hAPP(c_lessequals(tc_nat),X2),X1))|~hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(tc_nat),X1),X3)))).
% 0.40/1.02 cnf(i_0_1146, plain, (hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(tc_nat),hAPP(hAPP(c_HOL_Ominus__class_Ominus(tc_nat),X1),X2)),hAPP(hAPP(c_HOL_Ominus__class_Ominus(tc_nat),X1),X3)))|~hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(tc_nat),X3),X2))|~hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(tc_nat),X3),X1)))).
% 0.40/1.02 cnf(i_0_1701, plain, (hAPP(hAPP(c_HOL_Otimes__class_Otimes(X1),X2),hAPP(c_Finite__Set_Ofold1(c_HOL_Otimes__class_Otimes(X1),X1),X3))=hAPP(c_Finite__Set_Ofold1(c_HOL_Otimes__class_Otimes(X1),X1),c_Set_Oinsert(X2,X3,X1))|X3=c_Orderings_Obot__class_Obot(tc_fun(X1,tc_bool))|~class_OrderedGroup_Oab__semigroup__idem__mult(X1)|~c_Finite__Set_Ofinite(X3,X1))).
% 0.40/1.02 cnf(i_0_1716, plain, (c_Finite__Set_Osetsum(X1,hAPP(hAPP(c_HOL_Ominus__class_Ominus(tc_fun(X2,tc_bool)),X3),c_Set_Oinsert(X4,c_Orderings_Obot__class_Obot(tc_fun(X2,tc_bool)),X2)),X2,tc_nat)=c_Finite__Set_Osetsum(X1,X3,X2,tc_nat)|hBOOL(c_in(X4,X3,X2)))).
% 0.40/1.02 cnf(i_0_1596, plain, (c_Finite__Set_Ofold__graph(c_HOL_Oplus__class_Oplus(X1),X2,c_Set_Oinsert(X3,X4,X1),hAPP(hAPP(c_HOL_Oplus__class_Oplus(X1),X2),X5),X1,X1)|hBOOL(c_in(X3,X4,X1))|~c_Finite__Set_Ofold__graph(c_HOL_Oplus__class_Oplus(X1),X3,X4,X5,X1,X1)|~class_OrderedGroup_Ocomm__monoid__add(X1))).
% 0.40/1.02 cnf(i_0_1595, plain, (c_Finite__Set_Ofold__graph(c_HOL_Otimes__class_Otimes(X1),X2,c_Set_Oinsert(X3,X4,X1),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X1),X2),X5),X1,X1)|hBOOL(c_in(X3,X4,X1))|~c_Finite__Set_Ofold__graph(c_HOL_Otimes__class_Otimes(X1),X3,X4,X5,X1,X1)|~class_OrderedGroup_Oab__semigroup__mult(X1))).
% 0.40/1.02 cnf(i_0_1594, plain, (hBOOL(hAPP(hAPP(X1,hAPP(hAPP(c_Finite__Set_Ofold(X2,X3,X3),X4),X5)),hAPP(hAPP(X2,X6),X4)))|~c_Finite__Set_Ofinite(X5,X3)|~c_Lattices_Olower__semilattice(X1,X7,X2,X3)|~hBOOL(c_in(X6,X5,X3)))).
% 0.40/1.02 cnf(i_0_1233, plain, (hAPP(hAPP(c_HOL_Oplus__class_Oplus(X1),hAPP(hAPP(c_HOL_Oplus__class_Oplus(X1),X2),X3)),X4)=hAPP(hAPP(c_HOL_Oplus__class_Oplus(X1),hAPP(hAPP(c_HOL_Oplus__class_Oplus(X1),X2),X4)),X3)|~class_Ring__and__Field_Ocomm__semiring__1(X1))).
% 0.40/1.02 cnf(i_0_1797, plain, (hBOOL(hAPP(hAPP(c_lessequals(tc_fun(X1,tc_bool)),hAPP(hAPP(c_HOL_Ominus__class_Ominus(tc_fun(X1,tc_bool)),X2),c_Set_Oinsert(X3,c_Orderings_Obot__class_Obot(tc_fun(X1,tc_bool)),X1))),X4))|~hBOOL(hAPP(hAPP(c_lessequals(tc_fun(X1,tc_bool)),X2),c_Set_Oinsert(X3,X4,X1)))|~hBOOL(c_in(X3,X2,X1)))).
% 0.40/1.02 cnf(i_0_1715, plain, (hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(tc_fun(X1,tc_bool)),X2),c_Set_Oinsert(X3,X4,X1)))|~hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(tc_fun(X1,tc_bool)),hAPP(hAPP(c_HOL_Ominus__class_Ominus(tc_fun(X1,tc_bool)),X2),c_Set_Oinsert(X3,c_Orderings_Obot__class_Obot(tc_fun(X1,tc_bool)),X1))),X4))|~hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(tc_fun(X1,tc_bool)),X2),X4)))).
% 0.40/1.02 cnf(i_0_1714, plain, (hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(tc_fun(X1,tc_bool)),X2),c_Set_Oinsert(X3,X4,X1)))|hBOOL(c_in(X3,X4,X1))|~hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(tc_fun(X1,tc_bool)),hAPP(hAPP(c_HOL_Ominus__class_Ominus(tc_fun(X1,tc_bool)),X2),c_Set_Oinsert(X3,c_Orderings_Obot__class_Obot(tc_fun(X1,tc_bool)),X1))),X4))|~hBOOL(c_in(X3,X2,X1)))).
% 0.40/1.02 cnf(i_0_1518, 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)))).
% 0.40/1.02 cnf(i_0_1807, plain, (hAPP(c_Finite__Set_Ofold1(X1,X2),c_Set_Oinsert(X3,X4,X2))=hAPP(hAPP(X1,X3),hAPP(c_Finite__Set_Ofold1(X1,X2),X4))|X4=c_Orderings_Obot__class_Obot(tc_fun(X2,tc_bool))|hBOOL(c_in(X3,X4,X2))|~c_OrderedGroup_Oab__semigroup__mult(X1,X2)|~c_Finite__Set_Ofinite(X4,X2))).
% 0.40/1.02 cnf(i_0_1451, 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))).
% 0.40/1.02 cnf(i_0_1717, plain, (c_Finite__Set_Ofold__graph(X1,X2,X3,hAPP(hAPP(X1,X4),X5),X6,X7)|~c_Finite__Set_Ofold__graph(X1,X2,hAPP(hAPP(c_HOL_Ominus__class_Ominus(tc_fun(X6,tc_bool)),X3),c_Set_Oinsert(X4,c_Orderings_Obot__class_Obot(tc_fun(X6,tc_bool)),X6)),X5,X6,X7)|~hBOOL(c_in(X4,X3,X6)))).
% 0.40/1.02 cnf(i_0_1712, plain, (c_Nitpick_Ofold__graph_H(X1,X2,X3,hAPP(hAPP(X1,X4),X5),X6,X7)|~c_Nitpick_Ofold__graph_H(X1,X2,hAPP(hAPP(c_HOL_Ominus__class_Ominus(tc_fun(X6,tc_bool)),X3),c_Set_Oinsert(X4,c_Orderings_Obot__class_Obot(tc_fun(X6,tc_bool)),X6)),X5,X6,X7)|~hBOOL(c_in(X4,X3,X6)))).
% 0.40/1.02 cnf(i_0_1496, plain, (hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(X1,tc_bool)),c_SetInterval_Oord__class_OatLeastLessThan(X2,X3,X1)),c_SetInterval_Oord__class_OatLeastLessThan(X3,X4,X1))=c_SetInterval_Oord__class_OatLeastLessThan(X2,X4,X1)|~hBOOL(hAPP(hAPP(c_lessequals(X1),X3),X4))|~hBOOL(hAPP(hAPP(c_lessequals(X1),X2),X3))|~class_Orderings_Olinorder(X1))).
% 0.40/1.02 cnf(i_0_1620, plain, (hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(X1,tc_bool)),c_SetInterval_Oord__class_OatLeastLessThan(X2,X3,X1)),c_SetInterval_Oord__class_OatLeastAtMost(X3,X4,X1))=c_SetInterval_Oord__class_OatLeastAtMost(X2,X4,X1)|~hBOOL(hAPP(hAPP(c_lessequals(X1),X3),X4))|~hBOOL(hAPP(hAPP(c_lessequals(X1),X2),X3))|~class_Orderings_Olinorder(X1))).
% 0.40/1.02 cnf(i_0_1161, plain, (hAPP(hAPP(c_Orderings_Oord__class_Omax(X1),hAPP(hAPP(c_Orderings_Oord__class_Omin(X1),X2),X3)),hAPP(hAPP(c_Orderings_Oord__class_Omin(X1),X2),X4))=hAPP(hAPP(c_Orderings_Oord__class_Omin(X1),X2),hAPP(hAPP(c_Orderings_Oord__class_Omax(X1),X3),X4))|~class_Orderings_Olinorder(X1))).
% 0.40/1.02 cnf(i_0_1677, plain, (hBOOL(hAPP(hAPP(c_lessequals(tc_nat),c_Finite__Set_Ocard(hAPP(hAPP(c_HOL_Ominus__class_Ominus(tc_fun(X1,tc_bool)),X2),c_Set_Oinsert(X3,c_Orderings_Obot__class_Obot(tc_fun(X1,tc_bool)),X1)),X1)),c_Finite__Set_Ocard(X2,X1)))|~c_Finite__Set_Ofinite(X2,X1))).
% 0.40/1.02 cnf(i_0_1684, plain, (hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(X1,tc_bool)),c_SetInterval_Oord__class_OatLeastLessThan(X2,X3,X1)),c_Set_Oinsert(X3,c_Orderings_Obot__class_Obot(tc_fun(X1,tc_bool)),X1))=c_SetInterval_Oord__class_OatLeastAtMost(X2,X3,X1)|~hBOOL(hAPP(hAPP(c_lessequals(X1),X2),X3))|~class_Orderings_Olinorder(X1))).
% 0.40/1.02 cnf(i_0_1683, plain, (c_Set_Oinsert(X1,c_SetInterval_Oord__class_OgreaterThanAtMost(X1,X2,X3),X3)=c_SetInterval_Oord__class_OatLeastAtMost(X1,X2,X3)|~hBOOL(hAPP(hAPP(c_lessequals(X3),X1),X2))|~class_Orderings_Olinorder(X3))).
% 0.40/1.02 cnf(i_0_1680, plain, (hAPP(hAPP(c_HOL_Oplus__class_Oplus(X1),X2),hAPP(c_Finite__Set_Ofold1(c_HOL_Oplus__class_Oplus(X1),X1),X3))=hAPP(c_Finite__Set_Ofold1(c_HOL_Oplus__class_Oplus(X1),X1),c_Set_Oinsert(X2,X3,X1))|X3=c_Orderings_Obot__class_Obot(tc_fun(X1,tc_bool))|hBOOL(c_in(X2,X3,X1))|~c_Finite__Set_Ofinite(X3,X1)|~class_OrderedGroup_Ocomm__monoid__add(X1))).
% 0.40/1.02 cnf(i_0_1458, plain, (hAPP(hAPP(c_HOL_Oplus__class_Oplus(X1),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X1),X2),X3)),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X1),X2),X4))=hAPP(hAPP(c_HOL_Otimes__class_Otimes(X1),X2),hAPP(hAPP(c_HOL_Oplus__class_Oplus(X1),X3),X4))|~class_Ring__and__Field_Ocomm__semiring__1(X1))).
% 0.40/1.02 cnf(i_0_1621, plain, (hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(X1,tc_bool)),c_SetInterval_Oord__class_OatLeastAtMost(X2,X3,X1)),c_SetInterval_Oord__class_OgreaterThanAtMost(X3,X4,X1))=c_SetInterval_Oord__class_OatLeastAtMost(X2,X4,X1)|~hBOOL(hAPP(hAPP(c_lessequals(X1),X3),X4))|~hBOOL(hAPP(hAPP(c_lessequals(X1),X2),X3))|~class_Orderings_Olinorder(X1))).
% 0.40/1.02 cnf(i_0_1495, plain, (hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(X1,tc_bool)),c_SetInterval_Oord__class_OgreaterThanAtMost(X2,X3,X1)),c_SetInterval_Oord__class_OgreaterThanAtMost(X3,X4,X1))=c_SetInterval_Oord__class_OgreaterThanAtMost(X2,X4,X1)|~hBOOL(hAPP(hAPP(c_lessequals(X1),X3),X4))|~hBOOL(hAPP(hAPP(c_lessequals(X1),X2),X3))|~class_Orderings_Olinorder(X1))).
% 0.40/1.02 cnf(i_0_1611, plain, (hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(X1),X2),hAPP(hAPP(c_Finite__Set_Ofold(c_Lattices_Olower__semilattice__class_Oinf(X1),X1,X1),X3),X4))=hAPP(hAPP(c_Finite__Set_Ofold(c_Lattices_Olower__semilattice__class_Oinf(X1),X1,X1),X3),c_Set_Oinsert(X2,X4,X1))|~class_Lattices_Olower__semilattice(X1)|~c_Finite__Set_Ofinite(X4,X1))).
% 0.40/1.02 cnf(i_0_1619, plain, (hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(X1),X2),hAPP(hAPP(c_Finite__Set_Ofold(c_Lattices_Oupper__semilattice__class_Osup(X1),X1,X1),X3),X4))=hAPP(hAPP(c_Finite__Set_Ofold(c_Lattices_Oupper__semilattice__class_Osup(X1),X1,X1),X3),c_Set_Oinsert(X2,X4,X1))|~class_Lattices_Oupper__semilattice(X1)|~c_Finite__Set_Ofinite(X4,X1))).
% 0.40/1.02 cnf(i_0_1333, plain, (hAPP(hAPP(c_Orderings_Oord__class_Omin(X1),hAPP(hAPP(c_Orderings_Oord__class_Omax(X1),X2),X3)),hAPP(hAPP(c_Orderings_Oord__class_Omax(X1),X2),X4))=hAPP(hAPP(c_Orderings_Oord__class_Omax(X1),X2),hAPP(hAPP(c_Orderings_Oord__class_Omin(X1),X3),X4))|~class_Orderings_Olinorder(X1))).
% 0.40/1.02 cnf(i_0_1864, 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)))).
% 0.40/1.02 cnf(i_0_1318, 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)))).
% 0.40/1.02 cnf(i_0_1885, 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)))).
% 0.40/1.02 cnf(i_0_1679, plain, (hAPP(hAPP(c_HOL_Otimes__class_Otimes(X1),X2),hAPP(c_Finite__Set_Ofold1(c_HOL_Otimes__class_Otimes(X1),X1),X3))=hAPP(c_Finite__Set_Ofold1(c_HOL_Otimes__class_Otimes(X1),X1),c_Set_Oinsert(X2,X3,X1))|X3=c_Orderings_Obot__class_Obot(tc_fun(X1,tc_bool))|hBOOL(c_in(X2,X3,X1))|~class_OrderedGroup_Oab__semigroup__mult(X1)|~c_Finite__Set_Ofinite(X3,X1))).
% 0.40/1.02 cnf(i_0_1162, plain, (hAPP(hAPP(c_Orderings_Oord__class_Omax(X1),hAPP(hAPP(c_Orderings_Oord__class_Omin(X1),X2),X3)),hAPP(hAPP(c_Orderings_Oord__class_Omin(X1),X4),X3))=hAPP(hAPP(c_Orderings_Oord__class_Omin(X1),hAPP(hAPP(c_Orderings_Oord__class_Omax(X1),X2),X4)),X3)|~class_Orderings_Olinorder(X1))).
% 0.40/1.02 cnf(i_0_1881, plain, (c_Finite__Set_Ocard(X1,X2)=c_Finite__Set_Ocard(X3,X4)|~c_Fun_Oinj__on(X5,X1,X2,X4)|~c_Fun_Oinj__on(X6,X3,X4,X2)|~c_Finite__Set_Ofinite(X3,X4)|~c_Finite__Set_Ofinite(X1,X2)|~hBOOL(hAPP(hAPP(c_lessequals(tc_fun(X4,tc_bool)),c_Set_Oimage(X5,X1,X2,X4)),X3))|~hBOOL(hAPP(hAPP(c_lessequals(tc_fun(X2,tc_bool)),c_Set_Oimage(X6,X3,X4,X2)),X1)))).
% 0.40/1.02 cnf(i_0_1408, plain, (hAPP(hAPP(c_Orderings_Oord__class_Omin(X1),hAPP(hAPP(c_HOL_Oplus__class_Oplus(X1),X2),X3)),hAPP(hAPP(c_HOL_Oplus__class_Oplus(X1),X4),X3))=hAPP(hAPP(c_HOL_Oplus__class_Oplus(X1),hAPP(hAPP(c_Orderings_Oord__class_Omin(X1),X2),X4)),X3)|~class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(X1))).
% 0.40/1.02 cnf(i_0_1204, plain, (hBOOL(hAPP(hAPP(c_lessequals(X1),hAPP(hAPP(c_HOL_Oplus__class_Oplus(X1),X2),X3)),hAPP(hAPP(c_HOL_Oplus__class_Oplus(X1),X4),X5)))|~class_OrderedGroup_Opordered__ab__semigroup__add(X1)|~hBOOL(hAPP(hAPP(c_lessequals(X1),X3),X5))|~hBOOL(hAPP(hAPP(c_lessequals(X1),X2),X4)))).
% 0.40/1.02 cnf(i_0_1354, plain, (hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(X1),hAPP(hAPP(c_HOL_Oplus__class_Oplus(X1),X2),X3)),hAPP(hAPP(c_HOL_Oplus__class_Oplus(X1),X2),X4))=hAPP(hAPP(c_HOL_Oplus__class_Oplus(X1),X2),hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(X1),X3),X4))|~class_OrderedGroup_Olordered__ab__group__add(X1))).
% 0.40/1.02 cnf(i_0_1548, plain, (hAPP(hAPP(c_Orderings_Oord__class_Omax(X1),hAPP(hAPP(c_HOL_Oplus__class_Oplus(X1),X2),X3)),hAPP(hAPP(c_HOL_Oplus__class_Oplus(X1),X4),X3))=hAPP(hAPP(c_HOL_Oplus__class_Oplus(X1),hAPP(hAPP(c_Orderings_Oord__class_Omax(X1),X2),X4)),X3)|~class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(X1))).
% 0.40/1.02 cnf(i_0_1200, plain, (hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(X1,tc_bool)),c_SetInterval_Oord__class_OatLeastLessThan(X2,X3,X1)),c_SetInterval_Oord__class_OatLeastLessThan(X4,X5,X1))=c_SetInterval_Oord__class_OatLeastLessThan(hAPP(hAPP(c_Orderings_Oord__class_Omax(X1),X2),X4),hAPP(hAPP(c_Orderings_Oord__class_Omin(X1),X3),X5),X1)|~class_Orderings_Olinorder(X1))).
% 0.40/1.02 cnf(i_0_1398, plain, (c_SetInterval_Oord__class_OatLeastAtMost(hAPP(hAPP(c_Orderings_Oord__class_Omax(X1),X2),X3),hAPP(hAPP(c_Orderings_Oord__class_Omin(X1),X4),X5),X1)=hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(X1,tc_bool)),c_SetInterval_Oord__class_OatLeastAtMost(X2,X4,X1)),c_SetInterval_Oord__class_OatLeastAtMost(X3,X5,X1))|~class_Orderings_Olinorder(X1))).
% 0.40/1.02 cnf(i_0_1447, plain, (hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(X1,tc_bool)),c_SetInterval_Oord__class_OgreaterThanAtMost(X2,X3,X1)),c_SetInterval_Oord__class_OgreaterThanAtMost(X4,X5,X1))=c_SetInterval_Oord__class_OgreaterThanAtMost(hAPP(hAPP(c_Orderings_Oord__class_Omax(X1),X2),X4),hAPP(hAPP(c_Orderings_Oord__class_Omin(X1),X3),X5),X1)|~class_Orderings_Olinorder(X1))).
% 0.40/1.02 cnf(i_0_1703, plain, (hBOOL(c_in(c_ATP__Linkup_Osko__Hilbert__Choice__Xinj__transfer__1__1(X1,X2,X3,X4),c_Set_Oimage(X2,c_Orderings_Otop__class_Otop(tc_fun(X3,tc_bool)),X3,X4),X4))|hBOOL(hAPP(X1,X5))|~c_Fun_Oinj__on(X2,c_Orderings_Otop__class_Otop(tc_fun(X3,tc_bool)),X3,X4))).
% 0.40/1.02 cnf(i_0_1456, plain, (hAPP(hAPP(c_HOL_Oplus__class_Oplus(X1),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X1),X2),X3)),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X1),X4),X3))=hAPP(hAPP(c_HOL_Otimes__class_Otimes(X1),hAPP(hAPP(c_HOL_Oplus__class_Oplus(X1),X2),X4)),X3)|~class_Ring__and__Field_Ocomm__semiring__1(X1))).
% 0.40/1.02 cnf(i_0_1574, plain, (hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(X1),hAPP(hAPP(c_HOL_Oplus__class_Oplus(X1),X2),X3)),hAPP(hAPP(c_HOL_Oplus__class_Oplus(X1),X4),X5)))|~class_OrderedGroup_Opordered__cancel__ab__semigroup__add(X1)|~hBOOL(hAPP(hAPP(c_lessequals(X1),X3),X5))|~hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(X1),X2),X4)))).
% 0.40/1.02 cnf(i_0_1573, plain, (hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(X1),hAPP(hAPP(c_HOL_Oplus__class_Oplus(X1),X2),X3)),hAPP(hAPP(c_HOL_Oplus__class_Oplus(X1),X4),X5)))|~class_OrderedGroup_Opordered__cancel__ab__semigroup__add(X1)|~hBOOL(hAPP(hAPP(c_lessequals(X1),X2),X4))|~hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(X1),X3),X5)))).
% 0.40/1.02 cnf(i_0_1125, plain, (hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(X1),hAPP(hAPP(c_HOL_Oplus__class_Oplus(X1),X2),X3)),hAPP(hAPP(c_HOL_Oplus__class_Oplus(X1),X4),X5)))|~class_OrderedGroup_Opordered__cancel__ab__semigroup__add(X1)|~hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(X1),X3),X5))|~hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(X1),X2),X4)))).
% 0.40/1.02 cnf(i_0_1494, plain, (hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(tc_fun(X1,tc_bool)),c_SetInterval_Oord__class_OatLeastAtMost(X2,X3,X1)),c_SetInterval_Oord__class_OatLeastAtMost(X4,X5,X1)))|hBOOL(hAPP(hAPP(c_lessequals(X1),X2),X3))|~class_Orderings_Oorder(X1)|~hBOOL(hAPP(hAPP(c_lessequals(X1),X4),X5)))).
% 0.40/1.02 cnf(i_0_1352, plain, (hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(X1),hAPP(hAPP(c_HOL_Oplus__class_Oplus(X1),X2),X3)),hAPP(hAPP(c_HOL_Oplus__class_Oplus(X1),X2),X4))=hAPP(hAPP(c_HOL_Oplus__class_Oplus(X1),X2),hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(X1),X3),X4))|~class_OrderedGroup_Olordered__ab__group__add__meet(X1))).
% 0.40/1.02 cnf(i_0_1193, plain, (hAPP(hAPP(c_Orderings_Oord__class_Omin(X1),hAPP(hAPP(c_HOL_Ominus__class_Ominus(X1),X2),X3)),hAPP(hAPP(c_HOL_Ominus__class_Ominus(X1),X4),X3))=hAPP(hAPP(c_HOL_Ominus__class_Ominus(X1),hAPP(hAPP(c_Orderings_Oord__class_Omin(X1),X2),X4)),X3)|~class_OrderedGroup_Opordered__ab__group__add(X1))).
% 0.40/1.02 cnf(i_0_1312, plain, (hBOOL(hAPP(hAPP(c_lessequals(X1),X2),hAPP(hAPP(c_HOL_Oplus__class_Oplus(X1),X3),X4)))|~class_OrderedGroup_Opordered__ab__group__add(X1)|~hBOOL(hAPP(hAPP(c_lessequals(X1),X2),hAPP(hAPP(c_HOL_Oplus__class_Oplus(X1),X3),X5)))|~hBOOL(hAPP(hAPP(c_lessequals(X1),X5),X4)))).
% 0.40/1.02 cnf(i_0_1341, plain, (hAPP(hAPP(c_Orderings_Oord__class_Omax(X1),hAPP(hAPP(c_HOL_Ominus__class_Ominus(X1),X2),X3)),hAPP(hAPP(c_HOL_Ominus__class_Ominus(X1),X4),X3))=hAPP(hAPP(c_HOL_Ominus__class_Ominus(X1),hAPP(hAPP(c_Orderings_Oord__class_Omax(X1),X2),X4)),X3)|~class_OrderedGroup_Opordered__ab__group__add(X1))).
% 0.40/1.02 cnf(i_0_1332, plain, (hAPP(hAPP(c_Orderings_Oord__class_Omin(X1),hAPP(hAPP(c_Orderings_Oord__class_Omax(X1),X2),X3)),hAPP(hAPP(c_Orderings_Oord__class_Omax(X1),X4),X3))=hAPP(hAPP(c_Orderings_Oord__class_Omax(X1),hAPP(hAPP(c_Orderings_Oord__class_Omin(X1),X2),X4)),X3)|~class_Orderings_Olinorder(X1))).
% 0.40/1.02 cnf(i_0_1218, plain, (hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(X1),hAPP(hAPP(c_HOL_Oplus__class_Oplus(X1),X2),X3)),hAPP(hAPP(c_HOL_Oplus__class_Oplus(X1),X2),X4))=hAPP(hAPP(c_HOL_Oplus__class_Oplus(X1),X2),hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(X1),X3),X4))|~class_OrderedGroup_Olordered__ab__group__add(X1))).
% 0.40/1.02 cnf(i_0_1216, plain, (hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(X1),hAPP(hAPP(c_HOL_Oplus__class_Oplus(X1),X2),X3)),hAPP(hAPP(c_HOL_Oplus__class_Oplus(X1),X2),X4))=hAPP(hAPP(c_HOL_Oplus__class_Oplus(X1),X2),hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(X1),X3),X4))|~class_OrderedGroup_Olordered__ab__group__add__join(X1))).
% 0.40/1.02 cnf(i_0_1208, 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))).
% 0.40/1.02 cnf(i_0_1282, 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))).
% 0.40/1.02 cnf(i_0_1355, plain, (hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(X1),hAPP(hAPP(c_HOL_Oplus__class_Oplus(X1),X2),X3)),hAPP(hAPP(c_HOL_Oplus__class_Oplus(X1),X4),X3))=hAPP(hAPP(c_HOL_Oplus__class_Oplus(X1),hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(X1),X2),X4)),X3)|~class_OrderedGroup_Olordered__ab__group__add(X1))).
% 0.40/1.02 cnf(i_0_1353, plain, (hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(X1),hAPP(hAPP(c_HOL_Oplus__class_Oplus(X1),X2),X3)),hAPP(hAPP(c_HOL_Oplus__class_Oplus(X1),X4),X3))=hAPP(hAPP(c_HOL_Oplus__class_Oplus(X1),hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(X1),X2),X4)),X3)|~class_OrderedGroup_Olordered__ab__group__add__meet(X1))).
% 0.40/1.02 cnf(i_0_1219, plain, (hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(X1),hAPP(hAPP(c_HOL_Oplus__class_Oplus(X1),X2),X3)),hAPP(hAPP(c_HOL_Oplus__class_Oplus(X1),X4),X3))=hAPP(hAPP(c_HOL_Oplus__class_Oplus(X1),hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(X1),X2),X4)),X3)|~class_OrderedGroup_Olordered__ab__group__add(X1))).
% 0.40/1.02 cnf(i_0_1690, plain, (hAPP(hAPP(c_Orderings_Oord__class_Omax(X1),hAPP(c_Finite__Set_Olinorder__class_OMax(X1),X2)),hAPP(c_Finite__Set_Olinorder__class_OMax(X1),X3))=hAPP(c_Finite__Set_Olinorder__class_OMax(X1),hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(X1,tc_bool)),X2),X3))|X2=c_Orderings_Obot__class_Obot(tc_fun(X1,tc_bool))|X3=c_Orderings_Obot__class_Obot(tc_fun(X1,tc_bool))|~c_Finite__Set_Ofinite(X3,X1)|~c_Finite__Set_Ofinite(X2,X1)|~class_Orderings_Olinorder(X1))).
% 0.40/1.02 cnf(i_0_1217, plain, (hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(X1),hAPP(hAPP(c_HOL_Oplus__class_Oplus(X1),X2),X3)),hAPP(hAPP(c_HOL_Oplus__class_Oplus(X1),X4),X3))=hAPP(hAPP(c_HOL_Oplus__class_Oplus(X1),hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(X1),X2),X4)),X3)|~class_OrderedGroup_Olordered__ab__group__add__join(X1))).
% 0.40/1.02 cnf(i_0_1457, plain, (hAPP(hAPP(c_HOL_Oplus__class_Oplus(X1),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X1),X2),X3)),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X1),X4),X3))=hAPP(hAPP(c_HOL_Otimes__class_Otimes(X1),hAPP(hAPP(c_HOL_Oplus__class_Oplus(X1),X2),X4)),X3)|~class_Ring__and__Field_Ocomm__semiring(X1))).
% 0.40/1.02 cnf(i_0_1209, 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),X4),X3))=hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(X1),hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(X1),X2),X4)),X3)|~class_Lattices_Odistrib__lattice(X1))).
% 0.40/1.02 cnf(i_0_1281, 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),X4),X3))=hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(X1),hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(X1),X2),X4)),X3)|~class_Lattices_Odistrib__lattice(X1))).
% 0.40/1.02 cnf(i_0_1637, plain, (hBOOL(hAPP(hAPP(c_lessequals(X1),hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(X1),X2),X3)),hAPP(hAPP(c_Finite__Set_Ofold(c_Lattices_Oupper__semilattice__class_Osup(X1),X1,X1),X3),X4)))|~class_Lattices_Oupper__semilattice(X1)|~c_Finite__Set_Ofinite(X4,X1)|~hBOOL(c_in(X2,X4,X1)))).
% 0.40/1.02 cnf(i_0_1689, plain, (hAPP(hAPP(c_Orderings_Oord__class_Omin(X1),hAPP(c_Finite__Set_Olinorder__class_OMin(X1),X2)),hAPP(c_Finite__Set_Olinorder__class_OMin(X1),X3))=hAPP(c_Finite__Set_Olinorder__class_OMin(X1),hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(X1,tc_bool)),X2),X3))|X2=c_Orderings_Obot__class_Obot(tc_fun(X1,tc_bool))|X3=c_Orderings_Obot__class_Obot(tc_fun(X1,tc_bool))|~c_Finite__Set_Ofinite(X3,X1)|~c_Finite__Set_Ofinite(X2,X1)|~class_Orderings_Olinorder(X1))).
% 0.40/1.02 cnf(i_0_1424, plain, (hBOOL(hAPP(hAPP(c_lessequals(X1),hAPP(hAPP(c_Finite__Set_Ofold(c_Lattices_Olower__semilattice__class_Oinf(X1),X1,X1),X2),X3)),hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(X1),X4),X2)))|~class_Lattices_Olower__semilattice(X1)|~c_Finite__Set_Ofinite(X3,X1)|~hBOOL(c_in(X4,X3,X1)))).
% 0.40/1.02 cnf(i_0_1324, plain, (c_Finite__Set_Osetsum(hAPP(c_COMBC(c_COMBB(c_HOL_Otimes__class_Otimes(X1),X2,X1,tc_fun(X1,X1),X3),X3,X1,X1),X4),X5,X3,X1)=hAPP(hAPP(c_HOL_Otimes__class_Otimes(X1),c_Finite__Set_Osetsum(X2,X5,X3,X1)),X4)|~class_Ring__and__Field_Osemiring__0(X1))).
% 0.40/1.02 cnf(i_0_1720, plain, (hBOOL(hAPP(hAPP(c_lessequals(tc_fun(X1,tc_bool)),c_Set_Ovimage(X2,X3,X1,X4)),X5))|~c_Fun_Oinj__on(X2,c_Orderings_Otop__class_Otop(tc_fun(X1,tc_bool)),X1,X4)|~hBOOL(hAPP(hAPP(c_lessequals(tc_fun(X4,tc_bool)),X3),c_Set_Oimage(X2,X5,X1,X4))))).
% 0.40/1.02 cnf(i_0_1685, plain, (X1=c_Orderings_Obot__class_Obot(tc_fun(X2,tc_bool))|hBOOL(hAPP(hAPP(c_lessequals(X2),hAPP(c_Finite__Set_Ofold1(c_Orderings_Oord__class_Omin(X2),X2),X1)),X3))|~c_Finite__Set_Ofinite(X1,X2)|~hBOOL(hAPP(hAPP(c_lessequals(X2),X4),X3))|~hBOOL(c_in(X4,X1,X2))|~class_Orderings_Olinorder(X2))).
% 0.40/1.02 cnf(i_0_1509, plain, (X1=c_Orderings_Obot__class_Obot(tc_fun(X2,tc_bool))|hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(X2),hAPP(c_Finite__Set_Ofold1(c_Orderings_Oord__class_Omin(X2),X2),X1)),X3))|~c_Finite__Set_Ofinite(X1,X2)|~hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(X2),X4),X3))|~hBOOL(c_in(X4,X1,X2))|~class_Orderings_Olinorder(X2))).
% 0.40/1.02 cnf(i_0_1666, plain, (hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(tc_nat),c_Finite__Set_Ocard(hAPP(hAPP(c_HOL_Ominus__class_Ominus(tc_fun(X1,tc_bool)),X2),c_Set_Oinsert(X3,c_Orderings_Obot__class_Obot(tc_fun(X1,tc_bool)),X1)),X1)),c_Finite__Set_Ocard(X2,X1)))|~c_Finite__Set_Ofinite(X2,X1)|~hBOOL(c_in(X3,X2,X1)))).
% 0.40/1.02 cnf(i_0_1936, plain, (c_Hoare__Mirabelle_Ohoare__derivs(X1,c_Set_Oinsert(hAPP(hAPP(hAPP(c_Hoare__Mirabelle_Otriple_Otriple(t_a),X2),X3),X4),c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(t_a),tc_bool)),tc_Hoare__Mirabelle_Otriple(t_a)),t_a)|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,c_Set_Oinsert(hAPP(hAPP(hAPP(c_Hoare__Mirabelle_Otriple_Otriple(t_a),X2),X3),X5),c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(t_a),tc_bool)),tc_Hoare__Mirabelle_Otriple(t_a)),t_a))).
% 0.40/1.02 cnf(i_0_1396, plain, (hAPP(hAPP(c_HOL_Ominus__class_Ominus(tc_nat),hAPP(hAPP(c_HOL_Ominus__class_Ominus(tc_nat),X1),X2)),hAPP(hAPP(c_HOL_Ominus__class_Ominus(tc_nat),X3),X2))=hAPP(hAPP(c_HOL_Ominus__class_Ominus(tc_nat),X1),X3)|~hBOOL(hAPP(hAPP(c_lessequals(tc_nat),X2),X3))|~hBOOL(hAPP(hAPP(c_lessequals(tc_nat),X2),X1)))).
% 0.40/1.02 cnf(i_0_1687, plain, (c_Finite__Set_Osetsum(X1,hAPP(hAPP(c_HOL_Ominus__class_Ominus(tc_fun(X2,tc_bool)),X3),c_Set_Oinsert(X4,c_Orderings_Obot__class_Obot(tc_fun(X2,tc_bool)),X2)),X2,X5)=c_Finite__Set_Osetsum(X1,X3,X2,X5)|hBOOL(c_in(X4,X3,X2))|~class_OrderedGroup_Oab__group__add(X5)|~c_Finite__Set_Ofinite(X3,X2))).
% 0.40/1.02 cnf(i_0_1467, plain, (c_Finite__Set_Osetsum(X1,c_Set_Oinsert(X2,X3,X4),X4,X5)=hAPP(hAPP(c_HOL_Oplus__class_Oplus(X5),hAPP(X1,X2)),c_Finite__Set_Osetsum(X1,X3,X4,X5))|hBOOL(c_in(X2,X3,X4))|~c_Finite__Set_Ofinite(X3,X4)|~class_OrderedGroup_Ocomm__monoid__add(X5))).
% 0.40/1.02 cnf(i_0_1710, plain, (hAPP(hAPP(c_HOL_Ominus__class_Ominus(X1),c_Finite__Set_Osetsum(X2,X3,X4,X1)),c_Finite__Set_Osetsum(X2,X5,X4,X1))=c_Finite__Set_Osetsum(X2,hAPP(hAPP(c_HOL_Ominus__class_Ominus(tc_fun(X4,tc_bool)),X3),X5),X4,X1)|~class_OrderedGroup_Oab__group__add(X1)|~c_Finite__Set_Ofinite(X3,X4)|~hBOOL(hAPP(hAPP(c_lessequals(tc_fun(X4,tc_bool)),X5),X3)))).
% 0.40/1.02 cnf(i_0_1653, plain, (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)|~c_Fun_Oinj__on(X2,c_Orderings_Otop__class_Otop(tc_fun(X4,tc_bool)),X4,X1))).
% 0.40/1.02 cnf(i_0_1630, plain, (hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(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_Lattices_Olower__semilattice__class_Oinf(tc_fun(X4,tc_bool)),X3),X5),X4,X1)|~c_Fun_Oinj__on(X2,c_Orderings_Otop__class_Otop(tc_fun(X4,tc_bool)),X4,X1))).
% 0.40/1.02 cnf(i_0_1472, plain, (hAPP(hAPP(c_HOL_Ominus__class_Ominus(tc_nat),c_Finite__Set_Ocard(X1,X2)),c_Finite__Set_Ocard(hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(X2,tc_bool)),X1),X3),X2))=c_Finite__Set_Ocard(hAPP(hAPP(c_HOL_Ominus__class_Ominus(tc_fun(X2,tc_bool)),X1),X3),X2)|~c_Finite__Set_Ofinite(hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(X2,tc_bool)),X1),X3),X2))).
% 0.40/1.02 cnf(i_0_1938, plain, (c_Hoare__Mirabelle_Ohoare__derivs(X1,c_Set_Oinsert(hAPP(hAPP(hAPP(c_Hoare__Mirabelle_Otriple_Otriple(t_a),X2),X3),X4),c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(t_a),tc_bool)),tc_Hoare__Mirabelle_Otriple(t_a)),t_a)|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,c_Set_Oinsert(hAPP(hAPP(hAPP(c_Hoare__Mirabelle_Otriple_Otriple(t_a),X5),X3),X4),c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(t_a),tc_bool)),tc_Hoare__Mirabelle_Otriple(t_a)),t_a))).
% 0.40/1.02 cnf(i_0_1941, plain, (c_Hoare__Mirabelle_Ohoare__derivs(X1,c_Set_Oinsert(hAPP(hAPP(hAPP(c_Hoare__Mirabelle_Otriple_Otriple(t_a),X2),X3),X4),c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(t_a),tc_bool)),tc_Hoare__Mirabelle_Otriple(t_a)),t_a)|~c_Hoare__Mirabelle_Ohoare__derivs(X1,c_Set_Oinsert(hAPP(hAPP(hAPP(c_Hoare__Mirabelle_Otriple_Otriple(t_a),X5),X3),X6),c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(t_a),tc_bool)),tc_Hoare__Mirabelle_Otriple(t_a)),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))))).
% 0.40/1.02 cnf(i_0_1943, plain, (c_Hoare__Mirabelle_Ohoare__derivs(X1,c_Set_Oinsert(hAPP(hAPP(hAPP(c_Hoare__Mirabelle_Otriple_Otriple(t_a),X2),X3),X4),c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(t_a),tc_bool)),tc_Hoare__Mirabelle_Otriple(t_a)),t_a)|hBOOL(hAPP(hAPP(X2,v_sko__Hoare__Mirabelle__Xescape__1(X1,X2,X4,X3)),v_sko__Hoare__Mirabelle__Xescape__2(X1,X2,X4,X3))))).
% 0.40/1.02 cnf(i_0_1933, plain, (c_Hoare__Mirabelle_Ohoare__derivs(X1,c_Set_Oinsert(hAPP(hAPP(hAPP(c_Hoare__Mirabelle_Otriple_Otriple(t_a),X2),X3),X4),c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(t_a),tc_bool)),tc_Hoare__Mirabelle_Otriple(t_a)),t_a)|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))))).
% 0.40/1.02 cnf(i_0_1697, plain, (hAPP(hAPP(X1,hAPP(c_Finite__Set_Ofold1(X1,X2),X3)),hAPP(c_Finite__Set_Ofold1(X1,X2),X4))=hAPP(c_Finite__Set_Ofold1(X1,X2),hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(X2,tc_bool)),X3),X4))|X3=c_Orderings_Obot__class_Obot(tc_fun(X2,tc_bool))|X4=c_Orderings_Obot__class_Obot(tc_fun(X2,tc_bool))|~c_OrderedGroup_Oab__semigroup__idem__mult(X1,X2)|~c_Finite__Set_Ofinite(X4,X2)|~c_Finite__Set_Ofinite(X3,X2))).
% 0.40/1.02 cnf(i_0_1935, plain, (c_Hoare__Mirabelle_Ohoare__derivs(X1,c_Set_Oinsert(hAPP(hAPP(hAPP(c_Hoare__Mirabelle_Otriple_Otriple(t_a),X2),X3),X4),c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(t_a),tc_bool)),tc_Hoare__Mirabelle_Otriple(t_a)),t_a)|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))))).
% 0.40/1.02 cnf(i_0_1471, plain, (hAPP(hAPP(c_HOL_Ominus__class_Ominus(tc_nat),c_Finite__Set_Osetsum(X1,X2,X3,tc_nat)),c_Finite__Set_Osetsum(X1,X4,X3,tc_nat))=c_Finite__Set_Osetsum(X1,hAPP(hAPP(c_HOL_Ominus__class_Ominus(tc_fun(X3,tc_bool)),X2),X4),X3,tc_nat)|~c_Finite__Set_Ofinite(X4,X3)|~hBOOL(hAPP(hAPP(c_lessequals(tc_fun(X3,tc_bool)),X4),X2)))).
% 0.40/1.02 cnf(i_0_1112, plain, (hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(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),X5))|~hBOOL(hAPP(hAPP(c_lessequals(X1),X3),X5))|~hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(X1),X4),X2)))).
% 0.40/1.02 cnf(i_0_1111, plain, (hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(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),X5))|~hBOOL(hAPP(hAPP(c_lessequals(X1),X4),X2))|~hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(X1),X3),X5)))).
% 0.40/1.02 cnf(i_0_1612, plain, (hAPP(hAPP(c_Finite__Set_Ofold(X1,X2,X2),X3),c_Set_Oinsert(X4,X5,X2))=hAPP(hAPP(X1,X4),hAPP(hAPP(c_Finite__Set_Ofold(X1,X2,X2),X3),X5))|~c_Finite__Set_Ofinite(X5,X2)|~c_Lattices_Olower__semilattice(X6,X7,X1,X2))).
% 0.40/1.02 cnf(i_0_1678, plain, (X1=c_Orderings_Obot__class_Obot(tc_fun(X2,tc_bool))|hBOOL(hAPP(hAPP(c_lessequals(X2),hAPP(c_Finite__Set_Ofold1(c_Orderings_Oord__class_Omin(X2),X2),X3)),hAPP(c_Finite__Set_Ofold1(c_Orderings_Oord__class_Omin(X2),X2),X1)))|~c_Finite__Set_Ofinite(X3,X2)|~hBOOL(hAPP(hAPP(c_lessequals(tc_fun(X2,tc_bool)),X1),X3))|~class_Orderings_Olinorder(X2))).
% 0.40/1.02 cnf(i_0_1713, plain, (hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(tc_fun(X1,tc_bool)),hAPP(hAPP(c_HOL_Ominus__class_Ominus(tc_fun(X1,tc_bool)),X2),c_Set_Oinsert(X3,c_Orderings_Obot__class_Obot(tc_fun(X1,tc_bool)),X1))),X4))|hBOOL(c_in(X3,X4,X1))|~hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(tc_fun(X1,tc_bool)),X2),c_Set_Oinsert(X3,X4,X1)))|~hBOOL(c_in(X3,X2,X1)))).
% 0.40/1.02 cnf(i_0_1688, plain, (c_Hoare__Mirabelle_Ohoare__derivs(X1,c_Set_Oinsert(hAPP(hAPP(hAPP(c_Hoare__Mirabelle_Otriple_Otriple(t_a),X2),X3),X4),c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(t_a),tc_bool)),tc_Hoare__Mirabelle_Otriple(t_a)),t_a)|~c_Hoare__Mirabelle_Ohoare__derivs(X1,c_Set_Oinsert(hAPP(hAPP(hAPP(c_Hoare__Mirabelle_Otriple_Otriple(t_a),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)),c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(t_a),tc_bool)),tc_Hoare__Mirabelle_Otriple(t_a)),t_a))).
% 0.40/1.02 cnf(i_0_1696, plain, (hBOOL(hAPP(hAPP(c_lessequals(tc_fun(X1,tc_bool)),c_Set_Oimage(X2,hAPP(c_HOL_Ouminus__class_Ouminus(tc_fun(X3,tc_bool)),X4),X3,X1)),hAPP(c_HOL_Ouminus__class_Ouminus(tc_fun(X1,tc_bool)),c_Set_Oimage(X2,X4,X3,X1))))|~c_Fun_Oinj__on(X2,c_Orderings_Otop__class_Otop(tc_fun(X3,tc_bool)),X3,X1))).
% 0.40/1.02 cnf(i_0_1934, plain, (c_Hoare__Mirabelle_Ohoare__derivs(X1,c_Set_Oinsert(hAPP(hAPP(hAPP(c_Hoare__Mirabelle_Otriple_Otriple(t_a),X2),X3),X4),c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(t_a),tc_bool)),tc_Hoare__Mirabelle_Otriple(t_a)),t_a)|~c_Hoare__Mirabelle_Ohoare__derivs(X1,c_Set_Oinsert(hAPP(hAPP(hAPP(c_Hoare__Mirabelle_Otriple_Otriple(t_a),X5),X3),X6),c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(t_a),tc_bool)),tc_Hoare__Mirabelle_Otriple(t_a)),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))))).
% 0.40/1.02 cnf(i_0_1425, plain, (hAPP(hAPP(c_HOL_Oplus__class_Oplus(X1),hAPP(hAPP(c_HOL_Oplus__class_Oplus(X1),X2),X3)),hAPP(hAPP(c_HOL_Oplus__class_Oplus(X1),X4),X5))=hAPP(hAPP(c_HOL_Oplus__class_Oplus(X1),hAPP(hAPP(c_HOL_Oplus__class_Oplus(X1),X2),X4)),hAPP(hAPP(c_HOL_Oplus__class_Oplus(X1),X3),X5))|~class_Ring__and__Field_Ocomm__semiring__1(X1))).
% 0.40/1.02 cnf(i_0_1681, plain, (c_Set_Oinsert(X1,c_Set_Oimage(X2,hAPP(hAPP(c_HOL_Ominus__class_Ominus(tc_fun(X3,tc_bool)),X4),c_Set_Oinsert(X5,c_Orderings_Obot__class_Obot(tc_fun(X3,tc_bool)),X3)),X3,X6),X6)=c_Set_Oimage(c_Fun_Ofun__upd(X2,X5,X1,X3,X6),X4,X3,X6)|~hBOOL(c_in(X5,X4,X3)))).
% 0.40/1.02 cnf(i_0_1054, plain, (hAPP(hAPP(c_HOL_Oplus__class_Oplus(X1),c_Finite__Set_Osetsum(X2,X3,X4,X1)),c_Finite__Set_Osetsum(X2,X5,X4,X1))=c_Finite__Set_Osetsum(X2,hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(X4,tc_bool)),X3),X5),X4,X1)|hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(X4,tc_bool)),X3),X5)!=c_Orderings_Obot__class_Obot(tc_fun(X4,tc_bool))|~c_Finite__Set_Ofinite(X5,X4)|~c_Finite__Set_Ofinite(X3,X4)|~class_OrderedGroup_Ocomm__monoid__add(X1))).
% 0.40/1.02 cnf(i_0_1674, plain, (c_Fun_Oinj__on(X1,hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(X2,tc_bool)),X3),X4),X2,X5)|hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(X5,tc_bool)),c_Set_Oimage(X1,hAPP(hAPP(c_HOL_Ominus__class_Ominus(tc_fun(X2,tc_bool)),X3),X4),X2,X5)),c_Set_Oimage(X1,hAPP(hAPP(c_HOL_Ominus__class_Ominus(tc_fun(X2,tc_bool)),X4),X3),X2,X5))!=c_Orderings_Obot__class_Obot(tc_fun(X5,tc_bool))|~c_Fun_Oinj__on(X1,X4,X2,X5)|~c_Fun_Oinj__on(X1,X3,X2,X5))).
% 0.40/1.02 cnf(i_0_1154, plain, (hBOOL(hAPP(hAPP(c_lessequals(X1),X2),hAPP(hAPP(c_HOL_Oplus__class_Oplus(X1),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X1),hAPP(hAPP(c_HOL_Ominus__class_Ominus(X1),X3),X4)),X5)),X6)))|~class_Ring__and__Field_Opordered__ring(X1)|~hBOOL(hAPP(hAPP(c_lessequals(X1),hAPP(hAPP(c_HOL_Oplus__class_Oplus(X1),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X1),X4),X5)),X2)),hAPP(hAPP(c_HOL_Oplus__class_Oplus(X1),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X1),X3),X5)),X6))))).
% 0.40/1.02 cnf(i_0_1810, plain, (c_Fun_Oinj__on(X1,c_Set_Oinsert(X2,X3,X4),X4,X5)|hBOOL(c_in(hAPP(X1,X2),c_Set_Oimage(X1,hAPP(hAPP(c_HOL_Ominus__class_Ominus(tc_fun(X4,tc_bool)),X3),c_Set_Oinsert(X2,c_Orderings_Obot__class_Obot(tc_fun(X4,tc_bool)),X4)),X4,X5),X5))|~c_Fun_Oinj__on(X1,X3,X4,X5))).
% 0.40/1.02 cnf(i_0_1939, plain, (c_Hoare__Mirabelle_Ohoare__derivs(X1,c_Set_Oinsert(hAPP(hAPP(hAPP(c_Hoare__Mirabelle_Otriple_Otriple(t_a),X2),X3),X4),c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(t_a),tc_bool)),tc_Hoare__Mirabelle_Otriple(t_a)),t_a)|~c_Hoare__Mirabelle_Ohoare__derivs(X1,c_Set_Oinsert(hAPP(hAPP(hAPP(c_Hoare__Mirabelle_Otriple_Otriple(t_a),X5),X3),X6),c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(t_a),tc_bool)),tc_Hoare__Mirabelle_Otriple(t_a)),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))))).
% 0.40/1.02 cnf(i_0_1937, plain, (c_Hoare__Mirabelle_Ohoare__derivs(X1,c_Set_Oinsert(hAPP(hAPP(hAPP(c_Hoare__Mirabelle_Otriple_Otriple(t_a),X2),X3),X4),c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(t_a),tc_bool)),tc_Hoare__Mirabelle_Otriple(t_a)),t_a)|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,c_Set_Oinsert(hAPP(hAPP(hAPP(c_Hoare__Mirabelle_Otriple_Otriple(t_a),X5),X3),X6),c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(t_a),tc_bool)),tc_Hoare__Mirabelle_Otriple(t_a)),t_a))).
% 0.40/1.02 cnf(i_0_1085, 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))).
% 0.40/1.02 cnf(i_0_1387, plain, (hAPP(hAPP(c_HOL_Oplus__class_Oplus(X1),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X1),X2),X3)),hAPP(hAPP(c_HOL_Oplus__class_Oplus(X1),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X1),X4),X3)),X5))=hAPP(hAPP(c_HOL_Oplus__class_Oplus(X1),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X1),hAPP(hAPP(c_HOL_Oplus__class_Oplus(X1),X2),X4)),X3)),X5)|~class_Ring__and__Field_Osemiring(X1))).
% 0.40/1.02 cnf(i_0_1051, plain, (hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(X1),X2),hAPP(hAPP(c_HOL_Oplus__class_Oplus(X1),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X1),hAPP(hAPP(c_HOL_Ominus__class_Ominus(X1),X3),X4)),X5)),X6)))|~class_Ring__and__Field_Opordered__ring(X1)|~hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(X1),hAPP(hAPP(c_HOL_Oplus__class_Oplus(X1),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X1),X4),X5)),X2)),hAPP(hAPP(c_HOL_Oplus__class_Oplus(X1),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X1),X3),X5)),X6))))).
% 0.40/1.02 cnf(i_0_1152, plain, (hBOOL(hAPP(hAPP(c_lessequals(X1),hAPP(hAPP(c_HOL_Oplus__class_Oplus(X1),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X1),hAPP(hAPP(c_HOL_Ominus__class_Ominus(X1),X2),X3)),X4)),X5)),X6))|~class_Ring__and__Field_Opordered__ring(X1)|~hBOOL(hAPP(hAPP(c_lessequals(X1),hAPP(hAPP(c_HOL_Oplus__class_Oplus(X1),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X1),X2),X4)),X5)),hAPP(hAPP(c_HOL_Oplus__class_Oplus(X1),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X1),X3),X4)),X6))))).
% 0.40/1.02 cnf(i_0_1053, plain, (hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(X1),hAPP(hAPP(c_HOL_Oplus__class_Oplus(X1),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X1),hAPP(hAPP(c_HOL_Ominus__class_Ominus(X1),X2),X3)),X4)),X5)),X6))|~class_Ring__and__Field_Opordered__ring(X1)|~hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(X1),hAPP(hAPP(c_HOL_Oplus__class_Oplus(X1),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X1),X2),X4)),X5)),hAPP(hAPP(c_HOL_Oplus__class_Oplus(X1),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X1),X3),X4)),X6))))).
% 0.40/1.02 cnf(i_0_1170, plain, (X1=hAPP(hAPP(c_HOL_Oplus__class_Oplus(X2),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X2),hAPP(hAPP(c_HOL_Ominus__class_Ominus(X2),X3),X4)),X5)),X6)|hAPP(hAPP(c_HOL_Oplus__class_Oplus(X2),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X2),X4),X5)),X1)!=hAPP(hAPP(c_HOL_Oplus__class_Oplus(X2),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X2),X3),X5)),X6)|~class_Ring__and__Field_Oring(X2))).
% 0.40/1.02 cnf(i_0_1500, plain, (c_Finite__Set_Osetsum(X1,hAPP(hAPP(c_HOL_Ominus__class_Ominus(tc_fun(X2,tc_bool)),X3),c_Set_Oinsert(X4,c_Orderings_Obot__class_Obot(tc_fun(X2,tc_bool)),X2)),X2,tc_nat)=hAPP(hAPP(c_HOL_Ominus__class_Ominus(tc_nat),c_Finite__Set_Osetsum(X1,X3,X2,tc_nat)),hAPP(X1,X4))|~hBOOL(c_in(X4,X3,X2)))).
% 0.40/1.02 cnf(i_0_1487, 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))).
% 0.40/1.02 cnf(i_0_1328, plain, (hBOOL(hAPP(hAPP(c_lessequals(X1),hAPP(hAPP(c_Orderings_Oord__class_Omax(X1),X2),hAPP(hAPP(c_Orderings_Oord__class_Omin(X1),X3),X4))),hAPP(hAPP(c_Orderings_Oord__class_Omin(X1),hAPP(hAPP(c_Orderings_Oord__class_Omax(X1),X2),X3)),hAPP(hAPP(c_Orderings_Oord__class_Omax(X1),X2),X4))))|~class_Orderings_Olinorder(X1))).
% 0.40/1.02 cnf(i_0_1486, 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))).
% 0.40/1.02 cnf(i_0_1436, plain, (hBOOL(hAPP(hAPP(c_lessequals(X1),hAPP(hAPP(c_Orderings_Oord__class_Omax(X1),hAPP(hAPP(c_Orderings_Oord__class_Omin(X1),X2),X3)),hAPP(hAPP(c_Orderings_Oord__class_Omin(X1),X2),X4))),hAPP(hAPP(c_Orderings_Oord__class_Omin(X1),X2),hAPP(hAPP(c_Orderings_Oord__class_Omax(X1),X3),X4))))|~class_Orderings_Olinorder(X1))).
% 0.40/1.02 cnf(i_0_1198, plain, (hAPP(hAPP(c_HOL_Oplus__class_Oplus(X1),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X1),X2),X3)),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X1),X2),X4))=hAPP(hAPP(c_HOL_Oplus__class_Oplus(X1),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X1),X2),X4)),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X1),X2),X3))|~class_Int_Onumber__ring(X1)|~class_Ring__and__Field_Oidom(X1))).
% 0.40/1.02 cnf(i_0_1672, plain, (c_Finite__Set_Ofold__graph(X1,X2,c_Set_Oinsert(X3,hAPP(hAPP(c_HOL_Ominus__class_Ominus(tc_fun(X4,tc_bool)),X5),c_Set_Oinsert(X2,c_Orderings_Obot__class_Obot(tc_fun(X4,tc_bool)),X4)),X4),X6,X4,X4)|hBOOL(c_in(X3,X5,X4))|~c_OrderedGroup_Oab__semigroup__mult(X1,X4)|~c_Finite__Set_Ofold__graph(X1,X3,X5,X6,X4,X4)|~hBOOL(c_in(X2,X5,X4)))).
% 0.40/1.02 cnf(i_0_1610, plain, (c_Finite__Set_Osetsum(c_COMBS(c_COMBB(c_HOL_Oplus__class_Oplus(X1),X2,X1,tc_fun(X1,X1),X3),X4,X3,X1,X1),X5,X3,X1)=hAPP(hAPP(c_HOL_Oplus__class_Oplus(X1),c_Finite__Set_Osetsum(X2,X5,X3,X1)),c_Finite__Set_Osetsum(X4,X5,X3,X1))|~class_OrderedGroup_Ocomm__monoid__add(X1))).
% 0.40/1.02 cnf(i_0_1615, plain, (c_Finite__Set_Osetsum(c_COMBS(c_COMBB(c_HOL_Ominus__class_Ominus(X1),X2,X1,tc_fun(X1,X1),X3),X4,X3,X1,X1),X5,X3,X1)=hAPP(hAPP(c_HOL_Ominus__class_Ominus(X1),c_Finite__Set_Osetsum(X2,X5,X3,X1)),c_Finite__Set_Osetsum(X4,X5,X3,X1))|~class_OrderedGroup_Oab__group__add(X1))).
% 0.40/1.02 cnf(i_0_1188, plain, (hAPP(hAPP(c_HOL_Oplus__class_Oplus(X1),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X1),X2),X3)),hAPP(hAPP(c_HOL_Oplus__class_Oplus(X1),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X1),hAPP(hAPP(c_HOL_Ominus__class_Ominus(X1),X4),X2)),X3)),X5))=hAPP(hAPP(c_HOL_Oplus__class_Oplus(X1),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X1),X4),X3)),X5)|~class_Ring__and__Field_Oring(X1))).
% 0.40/1.02 cnf(i_0_1931, plain, (c_Hoare__Mirabelle_Ohoare__derivs(X1,c_Set_Oinsert(hAPP(hAPP(hAPP(c_Hoare__Mirabelle_Otriple_Otriple(t_a),X2),X3),X4),c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(t_a),tc_bool)),tc_Hoare__Mirabelle_Otriple(t_a)),t_a)|hBOOL(hAPP(hAPP(X5,X6),v_sko__Hoare__Mirabelle__Xconseq12__3(X2,X7,X4,X5)))|~c_Hoare__Mirabelle_Ohoare__derivs(X1,c_Set_Oinsert(hAPP(hAPP(hAPP(c_Hoare__Mirabelle_Otriple_Otriple(t_a),X7),X3),X5),c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(t_a),tc_bool)),tc_Hoare__Mirabelle_Otriple(t_a)),t_a)|~hBOOL(hAPP(hAPP(X7,X6),v_sko__Hoare__Mirabelle__Xconseq12__2(X2,X7,X4,X5))))).
% 0.40/1.02 cnf(i_0_1614, plain, (hAPP(hAPP(c_HOL_Oplus__class_Oplus(X1),hAPP(X2,X3)),c_Finite__Set_Osetsum(X2,hAPP(hAPP(c_HOL_Ominus__class_Ominus(tc_fun(X4,tc_bool)),X5),c_Set_Oinsert(X3,c_Orderings_Obot__class_Obot(tc_fun(X4,tc_bool)),X4)),X4,X1))=c_Finite__Set_Osetsum(X2,X5,X4,X1)|~c_Finite__Set_Ofinite(X5,X4)|~class_OrderedGroup_Ocomm__monoid__add(X1)|~hBOOL(c_in(X3,X5,X4)))).
% 0.40/1.02 cnf(i_0_1930, plain, (c_Hoare__Mirabelle_Ohoare__derivs(X1,c_Set_Oinsert(hAPP(hAPP(hAPP(c_Hoare__Mirabelle_Otriple_Otriple(t_a),X2),X3),X4),c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(t_a),tc_bool)),tc_Hoare__Mirabelle_Otriple(t_a)),t_a)|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,c_Set_Oinsert(hAPP(hAPP(hAPP(c_Hoare__Mirabelle_Otriple_Otriple(t_a),X7),X3),X5),c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(t_a),tc_bool)),tc_Hoare__Mirabelle_Otriple(t_a)),t_a)|~hBOOL(hAPP(hAPP(X7,X6),v_sko__Hoare__Mirabelle__Xhoare__derivs__Xconseq__2(X1,X2,X4,X3))))).
% 0.40/1.02 cnf(i_0_1932, plain, (c_Hoare__Mirabelle_Ohoare__derivs(X1,c_Set_Oinsert(hAPP(hAPP(hAPP(c_Hoare__Mirabelle_Otriple_Otriple(t_a),X2),X3),X4),c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(t_a),tc_bool)),tc_Hoare__Mirabelle_Otriple(t_a)),t_a)|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,c_Set_Oinsert(hAPP(hAPP(hAPP(c_Hoare__Mirabelle_Otriple_Otriple(t_a),X7),X3),X5),c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(t_a),tc_bool)),tc_Hoare__Mirabelle_Otriple(t_a)),t_a)|~hBOOL(hAPP(hAPP(X7,X6),v_sko__Hoare__Mirabelle__Xhoare__derivs__Xintros__6__2(X1,X2,X4,X3))))).
% 0.40/1.02 cnf(i_0_1499, plain, (c_Finite__Set_Ofold__graph(c_HOL_Oplus__class_Oplus(X1),X2,c_Set_Oinsert(X3,hAPP(hAPP(c_HOL_Ominus__class_Ominus(tc_fun(X1,tc_bool)),X4),c_Set_Oinsert(X2,c_Orderings_Obot__class_Obot(tc_fun(X1,tc_bool)),X1)),X1),X5,X1,X1)|hBOOL(c_in(X3,X4,X1))|~c_Finite__Set_Ofold__graph(c_HOL_Oplus__class_Oplus(X1),X3,X4,X5,X1,X1)|~class_OrderedGroup_Ocomm__monoid__add(X1)|~hBOOL(c_in(X2,X4,X1)))).
% 0.40/1.02 cnf(i_0_1501, plain, (c_Finite__Set_Ofold__graph(c_HOL_Otimes__class_Otimes(X1),X2,c_Set_Oinsert(X3,hAPP(hAPP(c_HOL_Ominus__class_Ominus(tc_fun(X1,tc_bool)),X4),c_Set_Oinsert(X2,c_Orderings_Obot__class_Obot(tc_fun(X1,tc_bool)),X1)),X1),X5,X1,X1)|hBOOL(c_in(X3,X4,X1))|~c_Finite__Set_Ofold__graph(c_HOL_Otimes__class_Otimes(X1),X3,X4,X5,X1,X1)|~class_OrderedGroup_Oab__semigroup__mult(X1)|~hBOOL(c_in(X2,X4,X1)))).
% 0.40/1.02 cnf(i_0_1668, plain, (c_Finite__Set_Osetsum(X1,hAPP(hAPP(c_HOL_Ominus__class_Ominus(tc_fun(X2,tc_bool)),X3),c_Set_Oinsert(X4,c_Orderings_Obot__class_Obot(tc_fun(X2,tc_bool)),X2)),X2,X5)=hAPP(hAPP(c_HOL_Ominus__class_Ominus(X5),c_Finite__Set_Osetsum(X1,X3,X2,X5)),hAPP(X1,X4))|~class_OrderedGroup_Oab__group__add(X5)|~c_Finite__Set_Ofinite(X3,X2)|~hBOOL(c_in(X4,X3,X2)))).
% 0.40/1.02 cnf(i_0_1669, plain, (c_Finite__Set_Osetsum(X1,hAPP(hAPP(c_HOL_Ominus__class_Ominus(tc_fun(X2,tc_bool)),X3),c_Set_Oinsert(X4,c_Orderings_Obot__class_Obot(tc_fun(X2,tc_bool)),X2)),X2,X5)=hAPP(hAPP(c_HOL_Ominus__class_Ominus(X5),c_Finite__Set_Osetsum(X1,X3,X2,X5)),hAPP(X1,X4))|~class_Ring__and__Field_Oring(X5)|~c_Finite__Set_Ofinite(X3,X2)|~hBOOL(c_in(X4,X3,X2)))).
% 0.40/1.02 cnf(i_0_1698, plain, (hAPP(hAPP(c_HOL_Otimes__class_Otimes(X1),hAPP(c_Finite__Set_Ofold1(c_HOL_Otimes__class_Otimes(X1),X1),X2)),hAPP(c_Finite__Set_Ofold1(c_HOL_Otimes__class_Otimes(X1),X1),X3))=hAPP(c_Finite__Set_Ofold1(c_HOL_Otimes__class_Otimes(X1),X1),hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(X1,tc_bool)),X2),X3))|X2=c_Orderings_Obot__class_Obot(tc_fun(X1,tc_bool))|X3=c_Orderings_Obot__class_Obot(tc_fun(X1,tc_bool))|~class_OrderedGroup_Oab__semigroup__idem__mult(X1)|~c_Finite__Set_Ofinite(X3,X1)|~c_Finite__Set_Ofinite(X2,X1))).
% 0.40/1.02 cnf(i_0_1673, 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))).
% 0.40/1.02 cnf(i_0_1670, plain, (hAPP(hAPP(X1,hAPP(c_Finite__Set_Ofold1(X1,X2),X3)),hAPP(c_Finite__Set_Ofold1(X1,X2),X4))=hAPP(c_Finite__Set_Ofold1(X1,X2),hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(X2,tc_bool)),X3),X4))|X3=c_Orderings_Obot__class_Obot(tc_fun(X2,tc_bool))|X4=c_Orderings_Obot__class_Obot(tc_fun(X2,tc_bool))|hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(X2,tc_bool)),X3),X4)!=c_Orderings_Obot__class_Obot(tc_fun(X2,tc_bool))|~c_OrderedGroup_Oab__semigroup__mult(X1,X2)|~c_Finite__Set_Ofinite(X4,X2)|~c_Finite__Set_Ofinite(X3,X2))).
% 0.40/1.02 cnf(i_0_1959, plain, (c_Hoare__Mirabelle_Ohoare__derivs(X1,c_Set_Oinsert(hAPP(hAPP(hAPP(c_Hoare__Mirabelle_Otriple_Otriple(X2),X3),c_Com_Ocom_OSemi(X4,X5)),X6),c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(X2),tc_bool)),tc_Hoare__Mirabelle_Otriple(X2)),X2)|~c_Hoare__Mirabelle_Ohoare__derivs(X1,c_Set_Oinsert(hAPP(hAPP(hAPP(c_Hoare__Mirabelle_Otriple_Otriple(X2),X7),X5),X6),c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(X2),tc_bool)),tc_Hoare__Mirabelle_Otriple(X2)),X2)|~c_Hoare__Mirabelle_Ohoare__derivs(X1,c_Set_Oinsert(hAPP(hAPP(hAPP(c_Hoare__Mirabelle_Otriple_Otriple(X2),X3),X4),X7),c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(X2),tc_bool)),tc_Hoare__Mirabelle_Otriple(X2)),X2))).
% 0.40/1.02 cnf(i_0_1665, plain, (hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(tc_nat),c_Finite__Set_Ocard(hAPP(hAPP(c_HOL_Ominus__class_Ominus(tc_fun(X1,tc_bool)),X2),c_Set_Oinsert(X3,c_Set_Oinsert(X4,c_Orderings_Obot__class_Obot(tc_fun(X1,tc_bool)),X1),X1)),X1)),c_Finite__Set_Ocard(X2,X1)))|~c_Finite__Set_Ofinite(X2,X1)|~hBOOL(c_in(X4,X2,X1))|~hBOOL(c_in(X3,X2,X1)))).
% 0.40/1.02 cnf(i_0_1523, plain, (hAPP(hAPP(c_HOL_Oplus__class_Oplus(X1),hAPP(c_Finite__Set_Ofold1(c_HOL_Oplus__class_Oplus(X1),X1),X2)),hAPP(c_Finite__Set_Ofold1(c_HOL_Oplus__class_Oplus(X1),X1),X3))=hAPP(c_Finite__Set_Ofold1(c_HOL_Oplus__class_Oplus(X1),X1),hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(X1,tc_bool)),X2),X3))|X2=c_Orderings_Obot__class_Obot(tc_fun(X1,tc_bool))|X3=c_Orderings_Obot__class_Obot(tc_fun(X1,tc_bool))|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))|~c_Finite__Set_Ofinite(X3,X1)|~c_Finite__Set_Ofinite(X2,X1)|~class_OrderedGroup_Ocomm__monoid__add(X1))).
% 0.40/1.02 cnf(i_0_1155, plain, (hBOOL(hAPP(hAPP(c_lessequals(X1),hAPP(hAPP(c_HOL_Oplus__class_Oplus(X1),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X1),X2),X3)),X4)),hAPP(hAPP(c_HOL_Oplus__class_Oplus(X1),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X1),X5),X3)),X6)))|~class_Ring__and__Field_Opordered__ring(X1)|~hBOOL(hAPP(hAPP(c_lessequals(X1),X4),hAPP(hAPP(c_HOL_Oplus__class_Oplus(X1),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X1),hAPP(hAPP(c_HOL_Ominus__class_Ominus(X1),X5),X2)),X3)),X6))))).
% 0.40/1.02 cnf(i_0_1910, plain, (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)|~c_Fun_Oinj__on(X2,X6,X4,X1)|~hBOOL(hAPP(hAPP(c_lessequals(tc_fun(X4,tc_bool)),X5),X6))|~hBOOL(hAPP(hAPP(c_lessequals(tc_fun(X4,tc_bool)),X3),X6)))).
% 0.40/1.02 cnf(i_0_1629, plain, (hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(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_Lattices_Olower__semilattice__class_Oinf(tc_fun(X4,tc_bool)),X3),X5),X4,X1)|~c_Fun_Oinj__on(X2,X6,X4,X1)|~hBOOL(hAPP(hAPP(c_lessequals(tc_fun(X4,tc_bool)),X5),X6))|~hBOOL(hAPP(hAPP(c_lessequals(tc_fun(X4,tc_bool)),X3),X6)))).
% 0.40/1.02 cnf(i_0_1050, plain, (hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(X1),hAPP(hAPP(c_HOL_Oplus__class_Oplus(X1),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X1),X2),X3)),X4)),hAPP(hAPP(c_HOL_Oplus__class_Oplus(X1),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X1),X5),X3)),X6)))|~class_Ring__and__Field_Opordered__ring(X1)|~hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(X1),X4),hAPP(hAPP(c_HOL_Oplus__class_Oplus(X1),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X1),hAPP(hAPP(c_HOL_Ominus__class_Ominus(X1),X5),X2)),X3)),X6))))).
% 0.40/1.02 cnf(i_0_1153, plain, (hBOOL(hAPP(hAPP(c_lessequals(X1),hAPP(hAPP(c_HOL_Oplus__class_Oplus(X1),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X1),X2),X3)),X4)),hAPP(hAPP(c_HOL_Oplus__class_Oplus(X1),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X1),X5),X3)),X6)))|~class_Ring__and__Field_Opordered__ring(X1)|~hBOOL(hAPP(hAPP(c_lessequals(X1),hAPP(hAPP(c_HOL_Oplus__class_Oplus(X1),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X1),hAPP(hAPP(c_HOL_Ominus__class_Ominus(X1),X2),X5)),X3)),X4)),X6)))).
% 0.40/1.02 cnf(i_0_1052, plain, (hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(X1),hAPP(hAPP(c_HOL_Oplus__class_Oplus(X1),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X1),X2),X3)),X4)),hAPP(hAPP(c_HOL_Oplus__class_Oplus(X1),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X1),X5),X3)),X6)))|~class_Ring__and__Field_Opordered__ring(X1)|~hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(X1),hAPP(hAPP(c_HOL_Oplus__class_Oplus(X1),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X1),hAPP(hAPP(c_HOL_Ominus__class_Ominus(X1),X2),X5)),X3)),X4)),X6)))).
% 0.40/1.02 cnf(i_0_1524, plain, (hAPP(hAPP(c_HOL_Otimes__class_Otimes(X1),hAPP(c_Finite__Set_Ofold1(c_HOL_Otimes__class_Otimes(X1),X1),X2)),hAPP(c_Finite__Set_Ofold1(c_HOL_Otimes__class_Otimes(X1),X1),X3))=hAPP(c_Finite__Set_Ofold1(c_HOL_Otimes__class_Otimes(X1),X1),hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(X1,tc_bool)),X2),X3))|X2=c_Orderings_Obot__class_Obot(tc_fun(X1,tc_bool))|X3=c_Orderings_Obot__class_Obot(tc_fun(X1,tc_bool))|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))).
% 0.40/1.02 cnf(i_0_1182, plain, (hAPP(hAPP(c_HOL_Oplus__class_Oplus(X1),c_Finite__Set_Osetsum(X2,hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(X3,tc_bool)),X4),X5),X3,X1)),c_Finite__Set_Osetsum(X2,hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(X3,tc_bool)),X4),X5),X3,X1))=hAPP(hAPP(c_HOL_Oplus__class_Oplus(X1),c_Finite__Set_Osetsum(X2,X4,X3,X1)),c_Finite__Set_Osetsum(X2,X5,X3,X1))|~c_Finite__Set_Ofinite(X5,X3)|~c_Finite__Set_Ofinite(X4,X3)|~class_OrderedGroup_Ocomm__monoid__add(X1))).
% 0.40/1.02 cnf(i_0_1137, plain, (hAPP(hAPP(c_HOL_Ominus__class_Ominus(X1),hAPP(hAPP(c_HOL_Oplus__class_Oplus(X1),c_Finite__Set_Osetsum(X2,X3,X4,X1)),c_Finite__Set_Osetsum(X2,X5,X4,X1))),c_Finite__Set_Osetsum(X2,hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(X4,tc_bool)),X3),X5),X4,X1))=c_Finite__Set_Osetsum(X2,hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(X4,tc_bool)),X3),X5),X4,X1)|~class_OrderedGroup_Oab__group__add(X1)|~c_Finite__Set_Ofinite(X5,X4)|~c_Finite__Set_Ofinite(X3,X4))).
% 0.40/1.02 cnf(i_0_1693, plain, (hAPP(hAPP(c_Finite__Set_Ofold(c_COMBB(X1,X2,X3,tc_fun(X3,X3),X4),X4,X3),X5),c_Set_Oinsert(X6,X7,X4))=hAPP(hAPP(X1,hAPP(X2,X6)),hAPP(hAPP(c_Finite__Set_Ofold(c_COMBB(X1,X2,X3,tc_fun(X3,X3),X4),X4,X3),X5),X7))|hBOOL(c_in(X6,X7,X4))|~c_OrderedGroup_Oab__semigroup__mult(X1,X3)|~c_Finite__Set_Ofinite(X7,X4))).
% 0.40/1.02 cnf(i_0_1466, plain, (hAPP(hAPP(c_Finite__Set_Ofold(c_COMBB(c_HOL_Oplus__class_Oplus(X1),X2,X1,tc_fun(X1,X1),X3),X3,X1),X4),c_Set_Oinsert(X5,X6,X3))=hAPP(hAPP(c_HOL_Oplus__class_Oplus(X1),hAPP(X2,X5)),hAPP(hAPP(c_Finite__Set_Ofold(c_COMBB(c_HOL_Oplus__class_Oplus(X1),X2,X1,tc_fun(X1,X1),X3),X3,X1),X4),X6))|hBOOL(c_in(X5,X6,X3))|~c_Finite__Set_Ofinite(X6,X3)|~class_OrderedGroup_Ocomm__monoid__add(X1))).
% 0.40/1.02 cnf(i_0_1468, plain, (hAPP(hAPP(c_Finite__Set_Ofold(c_COMBB(c_HOL_Otimes__class_Otimes(X1),X2,X1,tc_fun(X1,X1),X3),X3,X1),X4),c_Set_Oinsert(X5,X6,X3))=hAPP(hAPP(c_HOL_Otimes__class_Otimes(X1),hAPP(X2,X5)),hAPP(hAPP(c_Finite__Set_Ofold(c_COMBB(c_HOL_Otimes__class_Otimes(X1),X2,X1,tc_fun(X1,X1),X3),X3,X1),X4),X6))|hBOOL(c_in(X5,X6,X3))|~class_OrderedGroup_Oab__semigroup__mult(X1)|~c_Finite__Set_Ofinite(X6,X3))).
% 0.40/1.02 # End listing active clauses. There is an equivalent clause to each of these in the clausification!
% 0.40/1.02 # Begin printing tableau
% 0.40/1.02 # Found 4 steps
% 0.40/1.02 cnf(i_0_2022, negated_conjecture, (c_Hoare__Mirabelle_Ohoare__derivs(v_G,c_Set_Oinsert(hAPP(hAPP(hAPP(c_Hoare__Mirabelle_Otriple_Otriple(t_b),hAPP(v_P_H,v_x)),hAPP(v_c0,v_x)),hAPP(v_Q_H,v_x)),c_Set_Oimage(c_COMBS(c_COMBS(c_COMBB(c_Hoare__Mirabelle_Otriple_Otriple(t_b),v_P_H,tc_fun(t_b,tc_fun(tc_Com_Ostate,tc_bool)),tc_fun(tc_Com_Ocom,tc_fun(tc_fun(t_b,tc_fun(tc_Com_Ostate,tc_bool)),tc_Hoare__Mirabelle_Otriple(t_b))),t_a),v_c0,t_a,tc_Com_Ocom,tc_fun(tc_fun(t_b,tc_fun(tc_Com_Ostate,tc_bool)),tc_Hoare__Mirabelle_Otriple(t_b))),v_Q_H,t_a,tc_fun(t_b,tc_fun(tc_Com_Ostate,tc_bool)),tc_Hoare__Mirabelle_Otriple(t_b)),v_F,t_a,tc_Hoare__Mirabelle_Otriple(t_b)),tc_Hoare__Mirabelle_Otriple(t_b)),t_b)), inference(start_rule)).
% 0.40/1.02 cnf(i_0_2089, plain, (c_Hoare__Mirabelle_Ohoare__derivs(v_G,c_Set_Oinsert(hAPP(hAPP(hAPP(c_Hoare__Mirabelle_Otriple_Otriple(t_b),hAPP(v_P_H,v_x)),hAPP(v_c0,v_x)),hAPP(v_Q_H,v_x)),c_Set_Oimage(c_COMBS(c_COMBS(c_COMBB(c_Hoare__Mirabelle_Otriple_Otriple(t_b),v_P_H,tc_fun(t_b,tc_fun(tc_Com_Ostate,tc_bool)),tc_fun(tc_Com_Ocom,tc_fun(tc_fun(t_b,tc_fun(tc_Com_Ostate,tc_bool)),tc_Hoare__Mirabelle_Otriple(t_b))),t_a),v_c0,t_a,tc_Com_Ocom,tc_fun(tc_fun(t_b,tc_fun(tc_Com_Ostate,tc_bool)),tc_Hoare__Mirabelle_Otriple(t_b))),v_Q_H,t_a,tc_fun(t_b,tc_fun(tc_Com_Ostate,tc_bool)),tc_Hoare__Mirabelle_Otriple(t_b)),v_F,t_a,tc_Hoare__Mirabelle_Otriple(t_b)),tc_Hoare__Mirabelle_Otriple(t_b)),t_b)), inference(extension_rule, [i_0_1961])).
% 0.40/1.02 cnf(i_0_6054, plain, (c_Hoare__Mirabelle_Ohoare__derivs(v_G,c_Set_Oimage(c_COMBS(c_COMBS(c_COMBB(c_Hoare__Mirabelle_Otriple_Otriple(t_b),v_P_H,tc_fun(t_b,tc_fun(tc_Com_Ostate,tc_bool)),tc_fun(tc_Com_Ocom,tc_fun(tc_fun(t_b,tc_fun(tc_Com_Ostate,tc_bool)),tc_Hoare__Mirabelle_Otriple(t_b))),t_a),v_c0,t_a,tc_Com_Ocom,tc_fun(tc_fun(t_b,tc_fun(tc_Com_Ostate,tc_bool)),tc_Hoare__Mirabelle_Otriple(t_b))),v_Q_H,t_a,tc_fun(t_b,tc_fun(tc_Com_Ostate,tc_bool)),tc_Hoare__Mirabelle_Otriple(t_b)),v_F,t_a,tc_Hoare__Mirabelle_Otriple(t_b)),t_b)), inference(extension_rule, [i_0_2025])).
% 0.40/1.02 cnf(i_0_16848, plain, (c_Hoare__Mirabelle_Ohoare__derivs(v_G,c_Set_Oimage(c_COMBS(c_COMBS(c_COMBB(c_Hoare__Mirabelle_Otriple_Otriple(t_b),v_P,tc_fun(t_b,tc_fun(tc_Com_Ostate,tc_bool)),tc_fun(tc_Com_Ocom,tc_fun(tc_fun(t_b,tc_fun(tc_Com_Ostate,tc_bool)),tc_Hoare__Mirabelle_Otriple(t_b))),t_a),v_c0,t_a,tc_Com_Ocom,tc_fun(tc_fun(t_b,tc_fun(tc_Com_Ostate,tc_bool)),tc_Hoare__Mirabelle_Otriple(t_b))),v_Q,t_a,tc_fun(t_b,tc_fun(tc_Com_Ostate,tc_bool)),tc_Hoare__Mirabelle_Otriple(t_b)),v_F,t_a,tc_Hoare__Mirabelle_Otriple(t_b)),t_b)), inference(etableau_closure_rule, [i_0_16848, ...])).
% 0.40/1.02 # End printing tableau
% 0.40/1.02 # SZS output end
% 0.40/1.02 # Branches closed with saturation will be marked with an "s"
% 0.40/1.02 # Child (22706) has found a proof.
% 0.40/1.02
% 0.40/1.02 # Proof search is over...
% 0.40/1.02 # Freeing feature tree
%------------------------------------------------------------------------------