TSTP Solution File: SWV897-1 by Etableau---0.67
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- Process Solution
%------------------------------------------------------------------------------
% File : Etableau---0.67
% Problem : SWV897-1 : 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 : n003.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 18:23:51 EDT 2022
% Result : Unsatisfiable 0.20s 0.48s
% Output : CNFRefutation 0.20s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : SWV897-1 : TPTP v8.1.0. Released v4.1.0.
% 0.07/0.13 % Command : etableau --auto --tsmdo --quicksat=10000 --tableau=1 --tableau-saturation=1 -s -p --tableau-cores=8 --cpu-limit=%d %s
% 0.13/0.35 % Computer : n003.cluster.edu
% 0.13/0.35 % Model : x86_64 x86_64
% 0.13/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.35 % Memory : 8042.1875MB
% 0.13/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.35 % CPULimit : 300
% 0.13/0.35 % WCLimit : 600
% 0.13/0.35 % DateTime : Wed Jun 15 12:10:56 EDT 2022
% 0.13/0.35 % CPUTime :
% 0.20/0.46 # No SInE strategy applied
% 0.20/0.46 # Auto-Mode selected heuristic G_E___301_C18_F1_URBAN_S5PRR_S0Y
% 0.20/0.46 # and selection function SelectMaxLComplexAvoidPosPred.
% 0.20/0.46 #
% 0.20/0.46 # Number of axioms: 491 Number of unprocessed: 491
% 0.20/0.46 # Tableaux proof search.
% 0.20/0.46 # APR header successfully linked.
% 0.20/0.46 # Hello from C++
% 0.20/0.48 # The folding up rule is enabled...
% 0.20/0.48 # Local unification is enabled...
% 0.20/0.48 # Any saturation attempts will use folding labels...
% 0.20/0.48 # 491 beginning clauses after preprocessing and clausification
% 0.20/0.48 # Creating start rules for all 3 conjectures.
% 0.20/0.48 # There are 3 start rule candidates:
% 0.20/0.48 # Found 207 unit axioms.
% 0.20/0.48 # Unsuccessfully attempted saturation on 1 start tableaux, moving on.
% 0.20/0.48 # 3 start rule tableaux created.
% 0.20/0.48 # 284 extension rule candidate clauses
% 0.20/0.48 # 207 unit axiom clauses
% 0.20/0.48
% 0.20/0.48 # Requested 8, 32 cores available to the main process.
% 0.20/0.48 # There are not enough tableaux to fork, creating more from the initial 3
% 0.20/0.48 # Closed tableau found in foldup close cycle with 0 folds and 1 closures done.
% 0.20/0.48 # There were 0 total branch saturation attempts.
% 0.20/0.48 # There were 0 of these attempts blocked.
% 0.20/0.48 # There were 0 deferred branch saturation attempts.
% 0.20/0.48 # There were 0 free duplicated saturations.
% 0.20/0.48 # There were 0 total successful branch saturations.
% 0.20/0.48 # There were 0 successful branch saturations in interreduction.
% 0.20/0.48 # There were 0 successful branch saturations on the branch.
% 0.20/0.48 # There were 0 successful branch saturations after the branch.
% 0.20/0.48 # SZS status Unsatisfiable for /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.20/0.48 # SZS output start for /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.20/0.48 # Begin clausification derivation
% 0.20/0.48
% 0.20/0.48 # End clausification derivation
% 0.20/0.48 # Begin listing active clauses obtained from FOF to CNF conversion
% 0.20/0.48 cnf(i_0_520, plain, (c_Com_OWT(c_Com_Ocom_OSKIP))).
% 0.20/0.48 cnf(i_0_979, plain, (class_Orderings_Obot(tc_bool))).
% 0.20/0.48 cnf(i_0_970, plain, (class_Orderings_Obot(tc_nat))).
% 0.20/0.48 cnf(i_0_978, plain, (class_Orderings_Otop(tc_bool))).
% 0.20/0.48 cnf(i_0_980, plain, (class_HOL_Ominus(tc_bool))).
% 0.20/0.48 cnf(i_0_971, plain, (class_HOL_Ominus(tc_nat))).
% 0.20/0.48 cnf(i_0_981, plain, (class_HOL_Oord(tc_bool))).
% 0.20/0.48 cnf(i_0_972, plain, (class_HOL_Oord(tc_nat))).
% 0.20/0.48 cnf(i_0_973, plain, (class_Lattices_Oupper__semilattice(tc_bool))).
% 0.20/0.48 cnf(i_0_965, plain, (class_Lattices_Oupper__semilattice(tc_nat))).
% 0.20/0.48 cnf(i_0_974, plain, (class_Lattices_Obounded__lattice(tc_bool))).
% 0.20/0.48 cnf(i_0_976, plain, (class_Lattices_Olattice(tc_bool))).
% 0.20/0.48 cnf(i_0_968, plain, (class_Lattices_Olattice(tc_nat))).
% 0.20/0.48 cnf(i_0_977, plain, (class_Orderings_Oorder(tc_bool))).
% 0.20/0.48 cnf(i_0_969, plain, (class_Orderings_Oorder(tc_nat))).
% 0.20/0.48 cnf(i_0_975, plain, (class_Orderings_Opreorder(tc_bool))).
% 0.20/0.48 cnf(i_0_966, plain, (class_Orderings_Opreorder(tc_nat))).
% 0.20/0.48 cnf(i_0_967, plain, (class_Orderings_Olinorder(tc_nat))).
% 0.20/0.48 cnf(i_0_810, plain, (c_Suc(X1)!=X1)).
% 0.20/0.48 cnf(i_0_809, plain, (c_Suc(X1)!=X1)).
% 0.20/0.48 cnf(i_0_767, plain, (c_Suc(X1)!=c_HOL_Ozero__class_Ozero(tc_nat))).
% 0.20/0.48 cnf(i_0_768, plain, (c_Suc(X1)!=c_HOL_Ozero__class_Ozero(tc_nat))).
% 0.20/0.48 cnf(i_0_582, plain, (c_Suc(X1)!=c_HOL_Ozero__class_Ozero(tc_nat))).
% 0.20/0.48 cnf(i_0_583, plain, (c_Suc(X1)!=c_HOL_Ozero__class_Ozero(tc_nat))).
% 0.20/0.48 cnf(i_0_630, plain, (X1=X2|c_Suc(X1)!=c_Suc(X2))).
% 0.20/0.48 cnf(i_0_631, plain, (X1=X2|c_Suc(X1)!=c_Suc(X2))).
% 0.20/0.48 cnf(i_0_864, plain, (hAPP(c_Fun_Oid(t_a),v_x)=v_x)).
% 0.20/0.48 cnf(i_0_881, plain, (hAPP(c_Com_Ocom_OBODY,X1)!=c_Com_Ocom_OSKIP)).
% 0.20/0.48 cnf(i_0_866, plain, (hAPP(c_Com_Ocom_OBODY,X1)!=c_Com_Ocom_OSKIP)).
% 0.20/0.48 cnf(i_0_693, plain, (hAPP(c_Fun_Oid(X1),X2)=X2)).
% 0.20/0.48 cnf(i_0_851, plain, (c_Com_Ocom_OSemi(X1,X2)!=c_Com_Ocom_OSKIP)).
% 0.20/0.48 cnf(i_0_775, plain, (c_Com_Ocom_OAss(X1,X2)!=c_Com_Ocom_OSKIP)).
% 0.20/0.48 cnf(i_0_643, plain, (c_Com_Ocom_OWhile(X1,X2)!=c_Com_Ocom_OSKIP)).
% 0.20/0.48 cnf(i_0_797, plain, (c_Com_Ocom_OSemi(X1,X2)!=c_Com_Ocom_OSKIP)).
% 0.20/0.48 cnf(i_0_843, plain, (c_Com_Ocom_OAss(X1,X2)!=c_Com_Ocom_OSKIP)).
% 0.20/0.48 cnf(i_0_578, plain, (c_Com_Ocom_OWhile(X1,X2)!=c_Com_Ocom_OSKIP)).
% 0.20/0.48 cnf(i_0_514, plain, (c_Option_Ooption_ONone(X1)!=c_Option_Ooption_OSome(X2,X1))).
% 0.20/0.48 cnf(i_0_515, plain, (c_Option_Ooption_ONone(X1)!=c_Option_Ooption_OSome(X2,X1))).
% 0.20/0.48 cnf(i_0_620, plain, (c_Option_Ooption_OSome(X1,X2)!=c_Option_Ooption_ONone(X2))).
% 0.20/0.48 cnf(i_0_621, plain, (c_Option_Ooption_OSome(X1,X2)!=c_Option_Ooption_ONone(X2))).
% 0.20/0.48 cnf(i_0_522, plain, (c_Com_OWT(c_Com_Ocom_OAss(X1,X2)))).
% 0.20/0.48 cnf(i_0_586, plain, (c_OrderedGroup_Olordered__ab__group__add__class_Opprt(c_HOL_Ozero__class_Ozero(X1),X1)=c_HOL_Ozero__class_Ozero(X1)|~class_OrderedGroup_Olordered__ab__group__add(X1))).
% 0.20/0.48 cnf(i_0_671, plain, (c_Com_OWT(c_Com_Ocom_OWhile(X1,X2))|~c_Com_OWT(X2))).
% 0.20/0.48 cnf(i_0_962, plain, (class_Orderings_Obot(tc_fun(X1,X2))|~class_Orderings_Obot(X2))).
% 0.20/0.48 cnf(i_0_961, plain, (class_Orderings_Otop(tc_fun(X1,X2))|~class_Orderings_Otop(X2))).
% 0.20/0.48 cnf(i_0_963, plain, (class_HOL_Ominus(tc_fun(X1,X2))|~class_HOL_Ominus(X2))).
% 0.20/0.48 cnf(i_0_964, plain, (class_HOL_Oord(tc_fun(X1,X2))|~class_HOL_Oord(X2))).
% 0.20/0.48 cnf(i_0_956, plain, (class_Lattices_Oupper__semilattice(tc_fun(X1,X2))|~class_Lattices_Olattice(X2))).
% 0.20/0.48 cnf(i_0_957, plain, (class_Lattices_Obounded__lattice(tc_fun(X1,X2))|~class_Lattices_Obounded__lattice(X2))).
% 0.20/0.48 cnf(i_0_959, plain, (class_Lattices_Olattice(tc_fun(X1,X2))|~class_Lattices_Olattice(X2))).
% 0.20/0.48 cnf(i_0_960, plain, (class_Orderings_Oorder(tc_fun(X1,X2))|~class_Orderings_Oorder(X2))).
% 0.20/0.48 cnf(i_0_958, plain, (class_Orderings_Opreorder(tc_fun(X1,X2))|~class_Orderings_Opreorder(X2))).
% 0.20/0.48 cnf(i_0_949, plain, (X1=X2|hAPP(c_Com_Ocom_OBODY,X1)!=hAPP(c_Com_Ocom_OBODY,X2))).
% 0.20/0.48 cnf(i_0_877, plain, (c_Com_Ocom_OSemi(X1,X2)!=hAPP(c_Com_Ocom_OBODY,X3))).
% 0.20/0.48 cnf(i_0_872, plain, (c_Com_Ocom_OAss(X1,X2)!=hAPP(c_Com_Ocom_OBODY,X3))).
% 0.20/0.48 cnf(i_0_867, plain, (c_Com_Ocom_OWhile(X1,X2)!=hAPP(c_Com_Ocom_OBODY,X3))).
% 0.20/0.48 cnf(i_0_876, plain, (hAPP(c_Com_Ocom_OBODY,X1)!=c_Com_Ocom_OSemi(X2,X3))).
% 0.20/0.48 cnf(i_0_871, plain, (hAPP(c_Com_Ocom_OBODY,X1)!=c_Com_Ocom_OAss(X2,X3))).
% 0.20/0.48 cnf(i_0_874, plain, (hAPP(c_Com_Ocom_OBODY,X1)!=c_Com_Ocom_OWhile(X2,X3))).
% 0.20/0.48 cnf(i_0_893, plain, (hAPP(c_Com_Obody,X1)=c_Option_Ooption_ONone(tc_Com_Ocom)|c_Com_OWT(hAPP(c_Com_Ocom_OBODY,X1)))).
% 0.20/0.48 cnf(i_0_757, plain, (c_Com_Ocom_OAss(X3,X4)!=c_Com_Ocom_OSemi(X1,X2))).
% 0.20/0.48 cnf(i_0_571, plain, (c_Com_Ocom_OAss(X1,X2)!=c_Com_Ocom_OSemi(X3,X4))).
% 0.20/0.48 cnf(i_0_592, plain, (c_Com_Ocom_OWhile(X3,X4)!=c_Com_Ocom_OSemi(X1,X2))).
% 0.20/0.48 cnf(i_0_632, plain, (c_Com_Ocom_OWhile(X3,X4)!=c_Com_Ocom_OAss(X1,X2))).
% 0.20/0.48 cnf(i_0_808, plain, (c_Com_Ocom_OWhile(X1,X2)!=c_Com_Ocom_OSemi(X3,X4))).
% 0.20/0.48 cnf(i_0_780, plain, (c_Com_Ocom_OWhile(X1,X2)!=c_Com_Ocom_OAss(X3,X4))).
% 0.20/0.48 cnf(i_0_804, plain, (c_Com_OWT(c_Com_Ocom_OSemi(X1,X2))|~c_Com_OWT(X2)|~c_Com_OWT(X1))).
% 0.20/0.48 cnf(i_0_589, plain, (X2=X4|c_Com_Ocom_OSemi(X1,X2)!=c_Com_Ocom_OSemi(X3,X4))).
% 0.20/0.48 cnf(i_0_794, plain, (X2=X4|c_Com_Ocom_OAss(X1,X2)!=c_Com_Ocom_OAss(X3,X4))).
% 0.20/0.48 cnf(i_0_670, plain, (X2=X4|c_Com_Ocom_OWhile(X1,X2)!=c_Com_Ocom_OWhile(X3,X4))).
% 0.20/0.48 cnf(i_0_590, plain, (X1=X3|c_Com_Ocom_OSemi(X1,X2)!=c_Com_Ocom_OSemi(X3,X4))).
% 0.20/0.48 cnf(i_0_795, plain, (X1=X3|c_Com_Ocom_OAss(X1,X2)!=c_Com_Ocom_OAss(X3,X4))).
% 0.20/0.48 cnf(i_0_669, plain, (X1=X3|c_Com_Ocom_OWhile(X1,X2)!=c_Com_Ocom_OWhile(X3,X4))).
% 0.20/0.48 cnf(i_0_623, plain, (X1=X3|c_Option_Ooption_OSome(X1,X2)!=c_Option_Ooption_OSome(X3,X2))).
% 0.20/0.48 cnf(i_0_907, plain, (hAPP(c_Option_Othe(X1),c_Option_Ooption_OSome(X2,X1))=X2)).
% 0.20/0.48 cnf(i_0_776, plain, (c_Com_OWT(X1)|~c_Com_OWT(c_Com_Ocom_OSemi(X2,X1)))).
% 0.20/0.48 cnf(i_0_777, plain, (c_Com_OWT(X1)|~c_Com_OWT(c_Com_Ocom_OSemi(X1,X2)))).
% 0.20/0.48 cnf(i_0_672, plain, (c_Com_OWT(X1)|~c_Com_OWT(c_Com_Ocom_OWhile(X2,X1)))).
% 0.20/0.48 cnf(i_0_823, plain, (c_lessequals(X2,X2,X1)|~class_Orderings_Oorder(X1))).
% 0.20/0.48 cnf(i_0_824, plain, (c_lessequals(X2,X2,X1)|~class_Orderings_Opreorder(X1))).
% 0.20/0.48 cnf(i_0_937, plain, (c_Lattices_Oupper__semilattice__class_Osup(X2,X2,X1)=X2|~class_Lattices_Oupper__semilattice(X1))).
% 0.20/0.48 cnf(i_0_614, plain, (c_HOL_Ominus__class_Ominus(X2,X2,X1)=c_HOL_Ozero__class_Ozero(X1)|~class_OrderedGroup_Oab__group__add(X1))).
% 0.20/0.48 cnf(i_0_615, plain, (c_HOL_Ominus__class_Ominus(X2,X2,X1)=c_HOL_Ozero__class_Ozero(X1)|~class_OrderedGroup_Ogroup__add(X1))).
% 0.20/0.48 cnf(i_0_617, plain, (c_HOL_Ominus__class_Ominus(X2,X2,X1)=c_HOL_Ozero__class_Ozero(X1)|~class_OrderedGroup_Ogroup__add(X1))).
% 0.20/0.48 cnf(i_0_792, plain, (c_lessequals(X2,c_Orderings_Otop__class_Otop(X1),X1)|~class_Orderings_Otop(X1))).
% 0.20/0.48 cnf(i_0_588, plain, (c_lessequals(c_Orderings_Obot__class_Obot(X1),X2,X1)|~class_Orderings_Obot(X1))).
% 0.20/0.48 cnf(i_0_616, plain, (c_HOL_Ominus__class_Ominus(X2,c_HOL_Ozero__class_Ozero(X1),X1)=X2|~class_OrderedGroup_Ogroup__add(X1))).
% 0.20/0.48 cnf(i_0_708, plain, (c_Lattices_Oupper__semilattice__class_Osup(X2,c_Orderings_Obot__class_Obot(X1),X1)=X2|~class_Lattices_Obounded__lattice(X1))).
% 0.20/0.48 cnf(i_0_707, plain, (c_Lattices_Oupper__semilattice__class_Osup(c_Orderings_Obot__class_Obot(X1),X2,X1)=X2|~class_Lattices_Obounded__lattice(X1))).
% 0.20/0.48 cnf(i_0_861, plain, (c_OrderedGroup_Olordered__ab__group__add__class_Opprt(v_x,t_a)=c_Lattices_Oupper__semilattice__class_Osup(v_x,c_HOL_Ozero__class_Ozero(t_a),t_a)|~class_OrderedGroup_Olordered__ab__group__add(t_a))).
% 0.20/0.48 cnf(i_0_710, plain, (c_Lattices_Oupper__semilattice__class_Osup(X2,c_Orderings_Otop__class_Otop(X1),X1)=c_Orderings_Otop__class_Otop(X1)|~class_Lattices_Obounded__lattice(X1))).
% 0.20/0.48 cnf(i_0_709, plain, (c_Lattices_Oupper__semilattice__class_Osup(c_Orderings_Otop__class_Otop(X1),X2,X1)=c_Orderings_Otop__class_Otop(X1)|~class_Lattices_Obounded__lattice(X1))).
% 0.20/0.48 cnf(i_0_618, plain, (c_HOL_Ominus__class_Ominus(X2,X2,X1)=c_HOL_Ozero__class_Ozero(X1)|~class_Ring__and__Field_Oidom(X1)|~class_Int_Onumber__ring(X1))).
% 0.20/0.48 cnf(i_0_577, plain, (hAPP(c_Orderings_Obot__class_Obot(tc_fun(t_a,X1)),v_x)=c_Orderings_Obot__class_Obot(X1)|~class_Orderings_Obot(X1))).
% 0.20/0.48 cnf(i_0_651, plain, (hAPP(c_Orderings_Otop__class_Otop(tc_fun(t_a,X1)),v_x)=c_Orderings_Otop__class_Otop(X1)|~class_Orderings_Otop(X1))).
% 0.20/0.48 cnf(i_0_816, plain, (c_lessequals(X1,X1,tc_fun(X2,tc_bool)))).
% 0.20/0.48 cnf(i_0_819, plain, (c_lessequals(X1,X1,tc_fun(X2,tc_bool)))).
% 0.20/0.48 cnf(i_0_936, plain, (c_Lattices_Oupper__semilattice__class_Osup(X1,X1,tc_fun(X2,tc_bool))=X1)).
% 0.20/0.48 cnf(i_0_646, plain, (c_Orderings_Otop__class_Otop(tc_fun(X1,tc_bool))!=c_Orderings_Obot__class_Obot(tc_fun(X1,tc_bool)))).
% 0.20/0.48 cnf(i_0_805, plain, (c_Com_Ocom_OCall(X1,X2,X3)!=c_Com_Ocom_OSKIP)).
% 0.20/0.48 cnf(i_0_531, plain, (c_Com_Ocom_OCond(X1,X2,X3)!=c_Com_Ocom_OSKIP)).
% 0.20/0.48 cnf(i_0_645, plain, (c_Com_Ocom_OLocal(X1,X2,X3)!=c_Com_Ocom_OSKIP)).
% 0.20/0.48 cnf(i_0_826, plain, (c_Com_Ocom_OCall(X1,X2,X3)!=c_Com_Ocom_OSKIP)).
% 0.20/0.48 cnf(i_0_680, plain, (c_Com_Ocom_OCond(X1,X2,X3)!=c_Com_Ocom_OSKIP)).
% 0.20/0.48 cnf(i_0_765, plain, (c_Com_Ocom_OLocal(X1,X2,X3)!=c_Com_Ocom_OSKIP)).
% 0.20/0.48 cnf(i_0_495, plain, (c_lessequals(c_HOL_Ozero__class_Ozero(X1),X2,X1)|c_OrderedGroup_Olordered__ab__group__add__class_Opprt(X2,X1)!=X2|~class_OrderedGroup_Olordered__ab__group__add(X1))).
% 0.20/0.48 cnf(i_0_679, plain, (c_lessequals(c_HOL_Ozero__class_Ozero(X1),c_OrderedGroup_Olordered__ab__group__add__class_Opprt(X2,X1),X1)|~class_OrderedGroup_Olordered__ab__group__add(X1))).
% 0.20/0.48 cnf(i_0_600, plain, (c_lessequals(X2,c_HOL_Ozero__class_Ozero(X1),X1)|c_OrderedGroup_Olordered__ab__group__add__class_Opprt(X2,X1)!=c_HOL_Ozero__class_Ozero(X1)|~class_OrderedGroup_Olordered__ab__group__add(X1))).
% 0.20/0.48 cnf(i_0_539, plain, (X2=X3|c_HOL_Ominus__class_Ominus(X2,X3,X1)!=c_HOL_Ozero__class_Ozero(X1)|~class_OrderedGroup_Oab__group__add(X1))).
% 0.20/0.48 cnf(i_0_538, plain, (X2=X3|c_HOL_Ominus__class_Ominus(X2,X3,X1)!=c_HOL_Ozero__class_Ozero(X1)|~class_OrderedGroup_Ogroup__add(X1))).
% 0.20/0.48 cnf(i_0_625, plain, (c_HOL_Ominus__class_Ominus(X1,X1,tc_fun(X2,tc_bool))=c_Orderings_Obot__class_Obot(tc_fun(X2,tc_bool)))).
% 0.20/0.48 cnf(i_0_719, plain, (X3=c_Orderings_Obot__class_Obot(X1)|c_Lattices_Oupper__semilattice__class_Osup(X2,X3,X1)!=c_Orderings_Obot__class_Obot(X1)|~class_Lattices_Obounded__lattice(X1))).
% 0.20/0.48 cnf(i_0_718, plain, (X2=c_Orderings_Obot__class_Obot(X1)|c_Lattices_Oupper__semilattice__class_Osup(X2,X3,X1)!=c_Orderings_Obot__class_Obot(X1)|~class_Lattices_Obounded__lattice(X1))).
% 0.20/0.48 cnf(i_0_879, plain, (hAPP(c_Com_Ocom_OBODY,X1)!=c_Com_Ocom_OCall(X2,X3,X4))).
% 0.20/0.48 cnf(i_0_869, plain, (hAPP(c_Com_Ocom_OBODY,X1)!=c_Com_Ocom_OCond(X2,X3,X4))).
% 0.20/0.48 cnf(i_0_873, plain, (hAPP(c_Com_Ocom_OBODY,X1)!=c_Com_Ocom_OLocal(X2,X3,X4))).
% 0.20/0.48 cnf(i_0_875, plain, (c_Com_Ocom_OCall(X1,X2,X3)!=hAPP(c_Com_Ocom_OBODY,X4))).
% 0.20/0.48 cnf(i_0_870, plain, (c_Com_Ocom_OCond(X1,X2,X3)!=hAPP(c_Com_Ocom_OBODY,X4))).
% 0.20/0.48 cnf(i_0_878, plain, (c_Com_Ocom_OLocal(X1,X2,X3)!=hAPP(c_Com_Ocom_OBODY,X4))).
% 0.20/0.48 cnf(i_0_985, plain, (hBOOL(hAPP(hAPP(c_fequal(X1),X2),X2)))).
% 0.20/0.48 cnf(i_0_682, plain, (c_Com_Ocom_OSemi(X1,X2)!=c_Com_Ocom_OCall(X3,X4,X5))).
% 0.20/0.48 cnf(i_0_595, plain, (c_Com_Ocom_OSemi(X1,X2)!=c_Com_Ocom_OCond(X3,X4,X5))).
% 0.20/0.48 cnf(i_0_597, plain, (c_Com_Ocom_OSemi(X1,X2)!=c_Com_Ocom_OLocal(X3,X4,X5))).
% 0.20/0.48 cnf(i_0_532, plain, (c_Com_Ocom_OAss(X1,X2)!=c_Com_Ocom_OCall(X3,X4,X5))).
% 0.20/0.48 cnf(i_0_641, plain, (c_Com_Ocom_OAss(X1,X2)!=c_Com_Ocom_OCond(X3,X4,X5))).
% 0.20/0.48 cnf(i_0_633, plain, (c_Com_Ocom_OAss(X1,X2)!=c_Com_Ocom_OLocal(X3,X4,X5))).
% 0.20/0.48 cnf(i_0_756, plain, (c_Com_Ocom_OWhile(X1,X2)!=c_Com_Ocom_OCall(X3,X4,X5))).
% 0.20/0.48 cnf(i_0_681, plain, (c_Com_Ocom_OWhile(X1,X2)!=c_Com_Ocom_OCond(X3,X4,X5))).
% 0.20/0.48 cnf(i_0_580, plain, (c_Com_Ocom_OWhile(X1,X2)!=c_Com_Ocom_OLocal(X3,X4,X5))).
% 0.20/0.48 cnf(i_0_497, plain, (c_Com_Ocom_OCall(X1,X2,X3)!=c_Com_Ocom_OSemi(X4,X5))).
% 0.20/0.48 cnf(i_0_796, plain, (c_Com_Ocom_OCall(X1,X2,X3)!=c_Com_Ocom_OAss(X4,X5))).
% 0.20/0.48 cnf(i_0_548, plain, (c_Com_Ocom_OCall(X1,X2,X3)!=c_Com_Ocom_OWhile(X4,X5))).
% 0.20/0.48 cnf(i_0_610, plain, (c_Com_Ocom_OCond(X1,X2,X3)!=c_Com_Ocom_OSemi(X4,X5))).
% 0.20/0.48 cnf(i_0_686, plain, (c_Com_Ocom_OCond(X1,X2,X3)!=c_Com_Ocom_OAss(X4,X5))).
% 0.20/0.48 cnf(i_0_605, plain, (c_Com_Ocom_OCond(X1,X2,X3)!=c_Com_Ocom_OWhile(X4,X5))).
% 0.20/0.48 cnf(i_0_662, plain, (c_Com_Ocom_OLocal(X1,X2,X3)!=c_Com_Ocom_OSemi(X4,X5))).
% 0.20/0.48 cnf(i_0_603, plain, (c_Com_Ocom_OLocal(X1,X2,X3)!=c_Com_Ocom_OAss(X4,X5))).
% 0.20/0.48 cnf(i_0_638, plain, (c_Com_Ocom_OLocal(X1,X2,X3)!=c_Com_Ocom_OWhile(X4,X5))).
% 0.20/0.48 cnf(i_0_537, plain, (X2=X3|c_HOL_Ominus__class_Ominus(X2,X3,X1)!=c_HOL_Ozero__class_Ozero(X1)|~class_Ring__and__Field_Oidom(X1)|~class_Int_Onumber__ring(X1))).
% 0.20/0.48 cnf(i_0_947, plain, (c_Lattices_Oupper__semilattice__class_Osup(X2,X3,X1)=c_Lattices_Oupper__semilattice__class_Osup(X3,X2,X1)|~class_Lattices_Oupper__semilattice(X1))).
% 0.20/0.48 cnf(i_0_948, plain, (c_Lattices_Oupper__semilattice__class_Osup(X2,X3,X1)=c_Lattices_Oupper__semilattice__class_Osup(X3,X2,X1)|~class_Lattices_Olattice(X1))).
% 0.20/0.48 cnf(i_0_852, plain, (c_lessequals(X3,X2,X1)|c_lessequals(X2,X3,X1)|~class_Orderings_Olinorder(X1))).
% 0.20/0.48 cnf(i_0_494, plain, (c_OrderedGroup_Olordered__ab__group__add__class_Opprt(X2,X1)=X2|~class_OrderedGroup_Olordered__ab__group__add(X1)|~c_lessequals(c_HOL_Ozero__class_Ozero(X1),X2,X1))).
% 0.20/0.48 cnf(i_0_677, plain, (c_Com_OWT(c_Com_Ocom_OLocal(X1,X2,X3))|~c_Com_OWT(X3))).
% 0.20/0.48 cnf(i_0_601, plain, (c_OrderedGroup_Olordered__ab__group__add__class_Opprt(X2,X1)=c_HOL_Ozero__class_Ozero(X1)|~class_OrderedGroup_Olordered__ab__group__add(X1)|~c_lessequals(X2,c_HOL_Ozero__class_Ozero(X1),X1))).
% 0.20/0.48 cnf(i_0_636, plain, (c_Com_OWT(c_Com_Ocom_OCond(X1,X2,X3))|~c_Com_OWT(X3)|~c_Com_OWT(X2))).
% 0.20/0.48 cnf(i_0_596, plain, (c_Set_Oinsert(X1,X2,X3)!=c_Orderings_Obot__class_Obot(tc_fun(X3,tc_bool)))).
% 0.20/0.48 cnf(i_0_781, plain, (c_Orderings_Obot__class_Obot(tc_fun(X1,tc_bool))!=c_Set_Oinsert(X2,X3,X1))).
% 0.20/0.48 cnf(i_0_791, plain, (c_lessequals(X1,c_Orderings_Otop__class_Otop(tc_fun(X2,tc_bool)),tc_fun(X2,tc_bool)))).
% 0.20/0.48 cnf(i_0_587, plain, (c_lessequals(c_Orderings_Obot__class_Obot(tc_fun(X1,tc_bool)),X2,tc_fun(X1,tc_bool)))).
% 0.20/0.48 cnf(i_0_624, plain, (c_HOL_Ominus__class_Ominus(X1,c_Orderings_Obot__class_Obot(tc_fun(X2,tc_bool)),tc_fun(X2,tc_bool))=X1)).
% 0.20/0.48 cnf(i_0_742, plain, (c_Lattices_Oupper__semilattice__class_Osup(X1,c_Orderings_Obot__class_Obot(tc_fun(X2,tc_bool)),tc_fun(X2,tc_bool))=X1)).
% 0.20/0.48 cnf(i_0_743, plain, (c_Lattices_Oupper__semilattice__class_Osup(c_Orderings_Obot__class_Obot(tc_fun(X1,tc_bool)),X2,tc_fun(X1,tc_bool))=X2)).
% 0.20/0.48 cnf(i_0_890, plain, (c_Hoare__Mirabelle_Ohoare__derivs(X1,c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(X2),tc_bool)),X2))).
% 0.20/0.48 cnf(i_0_649, plain, (hBOOL(hAPP(c_Orderings_Otop__class_Otop(tc_fun(X1,tc_bool)),X2)))).
% 0.20/0.48 cnf(i_0_891, plain, (c_Hoare__Mirabelle_Ohoare__valids(X1,X2,X3)|~c_Hoare__Mirabelle_Ohoare__derivs(X1,X2,X3))).
% 0.20/0.48 cnf(i_0_774, plain, (hAPP(hAPP(c_in(t_a),v_x),c_Orderings_Obot__class_Obot(tc_fun(t_a,tc_bool)))=hAPP(c_Orderings_Obot__class_Obot(tc_fun(t_a,tc_bool)),v_x))).
% 0.20/0.48 cnf(i_0_704, plain, (c_Lattices_Oupper__semilattice__class_Osup(X2,X3,X1)=X3|~class_Lattices_Oupper__semilattice(X1)|~c_lessequals(X2,X3,X1))).
% 0.20/0.48 cnf(i_0_706, plain, (c_Lattices_Oupper__semilattice__class_Osup(X2,X3,X1)=X2|~class_Lattices_Oupper__semilattice(X1)|~c_lessequals(X3,X2,X1))).
% 0.20/0.48 cnf(i_0_705, plain, (c_lessequals(X2,X3,X1)|c_Lattices_Oupper__semilattice__class_Osup(X2,X3,X1)!=X3|~class_Lattices_Oupper__semilattice(X1))).
% 0.20/0.48 cnf(i_0_599, plain, (c_Hoare__Mirabelle_Otriple__valid(X1,X2,X3)|~c_Hoare__Mirabelle_Otriple__valid(c_Suc(X1),X2,X3))).
% 0.20/0.48 cnf(i_0_528, plain, (c_Com_OWT(c_Com_Ocom_OCall(X1,X2,X3))|~c_Com_OWT(hAPP(c_Com_Ocom_OBODY,X2)))).
% 0.20/0.48 cnf(i_0_507, plain, (hBOOL(hAPP(hAPP(c_in(X1),X2),X3))|~hBOOL(hAPP(X3,X2)))).
% 0.20/0.48 cnf(i_0_946, plain, (c_Lattices_Oupper__semilattice__class_Osup(X1,X2,tc_fun(X3,tc_bool))=c_Lattices_Oupper__semilattice__class_Osup(X2,X1,tc_fun(X3,tc_bool)))).
% 0.20/0.48 cnf(i_0_788, plain, (c_HOL_Ominus__class_Ominus(X1,c_Orderings_Otop__class_Otop(tc_fun(X2,tc_bool)),tc_fun(X2,tc_bool))=c_Orderings_Obot__class_Obot(tc_fun(X2,tc_bool)))).
% 0.20/0.48 cnf(i_0_745, plain, (c_Lattices_Oupper__semilattice__class_Osup(X1,c_Orderings_Otop__class_Otop(tc_fun(X2,tc_bool)),tc_fun(X2,tc_bool))=c_Orderings_Otop__class_Otop(tc_fun(X2,tc_bool)))).
% 0.20/0.48 cnf(i_0_639, plain, (c_HOL_Ominus__class_Ominus(c_Orderings_Obot__class_Obot(tc_fun(X1,tc_bool)),X2,tc_fun(X1,tc_bool))=c_Orderings_Obot__class_Obot(tc_fun(X1,tc_bool)))).
% 0.20/0.48 cnf(i_0_746, plain, (c_Lattices_Oupper__semilattice__class_Osup(c_Orderings_Otop__class_Otop(tc_fun(X1,tc_bool)),X2,tc_fun(X1,tc_bool))=c_Orderings_Otop__class_Otop(tc_fun(X1,tc_bool)))).
% 0.20/0.48 cnf(i_0_898, plain, (hBOOL(hAPP(hAPP(hAPP(c_Natural_Oevalc,c_Com_Ocom_OSKIP),X1),X1)))).
% 0.20/0.48 cnf(i_0_713, plain, (c_lessequals(X2,c_Lattices_Oupper__semilattice__class_Osup(X3,X2,X1),X1)|~class_Lattices_Oupper__semilattice(X1))).
% 0.20/0.48 cnf(i_0_716, plain, (c_lessequals(X2,c_Lattices_Oupper__semilattice__class_Osup(X3,X2,X1),X1)|~class_Lattices_Olattice(X1))).
% 0.20/0.48 cnf(i_0_712, plain, (c_lessequals(X2,c_Lattices_Oupper__semilattice__class_Osup(X2,X3,X1),X1)|~class_Lattices_Oupper__semilattice(X1))).
% 0.20/0.48 cnf(i_0_717, plain, (c_lessequals(X2,c_Lattices_Oupper__semilattice__class_Osup(X2,X3,X1),X1)|~class_Lattices_Olattice(X1))).
% 0.20/0.48 cnf(i_0_986, plain, (X1=X2|~hBOOL(hAPP(hAPP(c_fequal(X3),X1),X2)))).
% 0.20/0.48 cnf(i_0_622, plain, (c_Com_Ocom_OCond(X4,X5,X6)!=c_Com_Ocom_OCall(X1,X2,X3))).
% 0.20/0.48 cnf(i_0_565, plain, (c_Com_Ocom_OCond(X1,X2,X3)!=c_Com_Ocom_OCall(X4,X5,X6))).
% 0.20/0.48 cnf(i_0_545, plain, (c_Com_Ocom_OLocal(X4,X5,X6)!=c_Com_Ocom_OCall(X1,X2,X3))).
% 0.20/0.48 cnf(i_0_607, plain, (c_Com_Ocom_OLocal(X4,X5,X6)!=c_Com_Ocom_OCond(X1,X2,X3))).
% 0.20/0.48 cnf(i_0_847, plain, (c_Com_Ocom_OLocal(X1,X2,X3)!=c_Com_Ocom_OCall(X4,X5,X6))).
% 0.20/0.48 cnf(i_0_567, plain, (c_Com_Ocom_OLocal(X1,X2,X3)!=c_Com_Ocom_OCond(X4,X5,X6))).
% 0.20/0.48 cnf(i_0_573, plain, (X3=X6|c_Com_Ocom_OCall(X1,X2,X3)!=c_Com_Ocom_OCall(X4,X5,X6))).
% 0.20/0.48 cnf(i_0_611, plain, (X3=X6|c_Com_Ocom_OCond(X1,X2,X3)!=c_Com_Ocom_OCond(X4,X5,X6))).
% 0.20/0.48 cnf(i_0_801, plain, (X3=X6|c_Com_Ocom_OLocal(X1,X2,X3)!=c_Com_Ocom_OLocal(X4,X5,X6))).
% 0.20/0.48 cnf(i_0_574, plain, (X2=X5|c_Com_Ocom_OCall(X1,X2,X3)!=c_Com_Ocom_OCall(X4,X5,X6))).
% 0.20/0.48 cnf(i_0_612, plain, (X2=X5|c_Com_Ocom_OCond(X1,X2,X3)!=c_Com_Ocom_OCond(X4,X5,X6))).
% 0.20/0.48 cnf(i_0_802, plain, (X2=X5|c_Com_Ocom_OLocal(X1,X2,X3)!=c_Com_Ocom_OLocal(X4,X5,X6))).
% 0.20/0.48 cnf(i_0_575, plain, (X1=X4|c_Com_Ocom_OCall(X1,X2,X3)!=c_Com_Ocom_OCall(X4,X5,X6))).
% 0.20/0.48 cnf(i_0_613, plain, (X1=X4|c_Com_Ocom_OCond(X1,X2,X3)!=c_Com_Ocom_OCond(X4,X5,X6))).
% 0.20/0.48 cnf(i_0_803, plain, (X1=X4|c_Com_Ocom_OLocal(X1,X2,X3)!=c_Com_Ocom_OLocal(X4,X5,X6))).
% 0.20/0.48 cnf(i_0_848, plain, (c_Com_OWT(X1)|~c_Com_OWT(c_Com_Ocom_OCond(X2,X3,X1)))).
% 0.20/0.48 cnf(i_0_849, plain, (c_Com_OWT(X1)|~c_Com_OWT(c_Com_Ocom_OCond(X2,X1,X3)))).
% 0.20/0.48 cnf(i_0_678, plain, (c_Com_OWT(X1)|~c_Com_OWT(c_Com_Ocom_OLocal(X2,X3,X1)))).
% 0.20/0.48 cnf(i_0_518, plain, (X3=X4|c_HOL_Ominus__class_Ominus(X2,X2,X1)!=c_HOL_Ominus__class_Ominus(X3,X4,X1)|~class_OrderedGroup_Oab__group__add(X1))).
% 0.20/0.48 cnf(i_0_517, plain, (X2=X3|c_HOL_Ominus__class_Ominus(X2,X3,X1)!=c_HOL_Ominus__class_Ominus(X4,X4,X1)|~class_OrderedGroup_Oab__group__add(X1))).
% 0.20/0.48 cnf(i_0_779, plain, (c_lessequals(c_Orderings_Obot__class_Obot(tc_fun(X1,tc_bool)),c_Orderings_Obot__class_Obot(tc_fun(X1,tc_bool)),tc_fun(X1,tc_bool)))).
% 0.20/0.48 cnf(i_0_760, plain, (X2=X3|~class_Orderings_Oorder(X1)|~c_lessequals(X3,X2,X1)|~c_lessequals(X2,X3,X1))).
% 0.20/0.48 cnf(i_0_761, plain, (X2=X3|~class_Orderings_Oorder(X1)|~c_lessequals(X3,X2,X1)|~c_lessequals(X2,X3,X1))).
% 0.20/0.48 cnf(i_0_762, plain, (X2=X3|~class_Orderings_Oorder(X1)|~c_lessequals(X3,X2,X1)|~c_lessequals(X2,X3,X1))).
% 0.20/0.48 cnf(i_0_609, plain, (c_lessequals(X1,c_Set_Oinsert(X2,X1,X3),tc_fun(X3,tc_bool)))).
% 0.20/0.48 cnf(i_0_853, plain, (X2=c_Orderings_Obot__class_Obot(tc_fun(X3,tc_bool))|c_Lattices_Oupper__semilattice__class_Osup(X1,X2,tc_fun(X3,tc_bool))!=c_Orderings_Obot__class_Obot(tc_fun(X3,tc_bool)))).
% 0.20/0.48 cnf(i_0_854, plain, (X1=c_Orderings_Obot__class_Obot(tc_fun(X3,tc_bool))|c_Lattices_Oupper__semilattice__class_Osup(X1,X2,tc_fun(X3,tc_bool))!=c_Orderings_Obot__class_Obot(tc_fun(X3,tc_bool)))).
% 0.20/0.48 cnf(i_0_892, plain, (c_Hoare__Mirabelle_Ohoare__derivs(X1,X2,X3)|~c_lessequals(X2,X1,tc_fun(tc_Hoare__Mirabelle_Otriple(X3),tc_bool)))).
% 0.20/0.48 cnf(i_0_508, plain, (hBOOL(hAPP(X1,X2))|~hBOOL(hAPP(hAPP(c_in(X3),X2),X1)))).
% 0.20/0.48 cnf(i_0_822, plain, (hBOOL(hAPP(X1,X2))|~hBOOL(hAPP(X3,X2))|~c_lessequals(X3,X1,tc_fun(X4,tc_bool)))).
% 0.20/0.48 cnf(i_0_825, plain, (hBOOL(hAPP(X1,X2))|~hBOOL(hAPP(X3,X2))|~c_lessequals(X3,X1,tc_fun(X4,tc_bool)))).
% 0.20/0.48 cnf(i_0_741, plain, (c_Lattices_Oupper__semilattice__class_Osup(X1,X2,tc_fun(X3,tc_bool))=X2|~c_lessequals(X1,X2,tc_fun(X3,tc_bool)))).
% 0.20/0.48 cnf(i_0_740, plain, (c_Lattices_Oupper__semilattice__class_Osup(X1,X2,tc_fun(X3,tc_bool))=X1|~c_lessequals(X2,X1,tc_fun(X3,tc_bool)))).
% 0.20/0.48 cnf(i_0_739, plain, (c_lessequals(X1,X2,tc_fun(X3,tc_bool))|c_Lattices_Oupper__semilattice__class_Osup(X1,X2,tc_fun(X3,tc_bool))!=X2)).
% 0.20/0.48 cnf(i_0_529, plain, (c_Com_OWT(hAPP(c_Com_Ocom_OBODY,X1))|~c_Com_OWT(c_Com_Ocom_OCall(X2,X1,X3)))).
% 0.20/0.48 cnf(i_0_733, plain, (c_Lattices_Oupper__semilattice__class_Osup(c_Orderings_Obot__class_Obot(tc_fun(X1,tc_bool)),c_Orderings_Obot__class_Obot(tc_fun(X1,tc_bool)),tc_fun(X1,tc_bool))=c_Orderings_Obot__class_Obot(tc_fun(X1,tc_bool)))).
% 0.20/0.48 cnf(i_0_619, plain, (hBOOL(hAPP(hAPP(c_in(X1),X2),c_Orderings_Otop__class_Otop(tc_fun(X1,tc_bool)))))).
% 0.20/0.48 cnf(i_0_644, plain, (~hBOOL(hAPP(c_Orderings_Obot__class_Obot(tc_fun(X1,tc_bool)),X2)))).
% 0.20/0.48 cnf(i_0_602, plain, (c_Set_Oinsert(X1,c_Set_Oinsert(X1,X2,X3),X3)=c_Set_Oinsert(X1,X2,X3))).
% 0.20/0.48 cnf(i_0_951, plain, (c_Lattices_Oupper__semilattice__class_Osup(X2,c_Lattices_Oupper__semilattice__class_Osup(X2,X3,X1),X1)=c_Lattices_Oupper__semilattice__class_Osup(X2,X3,X1)|~class_Lattices_Oupper__semilattice(X1))).
% 0.20/0.48 cnf(i_0_952, plain, (c_Lattices_Oupper__semilattice__class_Osup(X2,c_Lattices_Oupper__semilattice__class_Osup(X2,X3,X1),X1)=c_Lattices_Oupper__semilattice__class_Osup(X2,X3,X1)|~class_Lattices_Olattice(X1))).
% 0.20/0.48 cnf(i_0_674, plain, (c_Set_Oinsert(X1,X2,X3)=X2|~hBOOL(hAPP(hAPP(c_in(X3),X1),X2)))).
% 0.20/0.48 cnf(i_0_927, plain, (c_Hoare__Mirabelle_Ohoare__derivs(X1,X2,X3)|~c_Hoare__Mirabelle_Ohoare__derivs(X4,X2,X3)|~c_Hoare__Mirabelle_Ohoare__derivs(X1,X4,X3))).
% 0.20/0.48 cnf(i_0_750, plain, (c_lessequals(X1,c_Lattices_Oupper__semilattice__class_Osup(X2,X1,tc_fun(X3,tc_bool)),tc_fun(X3,tc_bool)))).
% 0.20/0.48 cnf(i_0_751, plain, (c_lessequals(X1,c_Lattices_Oupper__semilattice__class_Osup(X1,X2,tc_fun(X3,tc_bool)),tc_fun(X3,tc_bool)))).
% 0.20/0.48 cnf(i_0_533, plain, (c_lessequals(c_HOL_Ominus__class_Ominus(X1,X2,tc_fun(X3,tc_bool)),X1,tc_fun(X3,tc_bool)))).
% 0.20/0.48 cnf(i_0_778, plain, (X1=c_Orderings_Obot__class_Obot(tc_fun(X2,tc_bool))|~c_lessequals(X1,c_Orderings_Obot__class_Obot(tc_fun(X2,tc_bool)),tc_fun(X2,tc_bool)))).
% 0.20/0.48 cnf(i_0_812, plain, (c_lessequals(X2,X3,X1)|~class_Orderings_Oorder(X1)|~c_lessequals(X4,X3,X1)|~c_lessequals(X2,X4,X1))).
% 0.20/0.48 cnf(i_0_813, plain, (c_lessequals(X2,X3,X1)|~class_Orderings_Opreorder(X1)|~c_lessequals(X4,X3,X1)|~c_lessequals(X2,X4,X1))).
% 0.20/0.48 cnf(i_0_541, plain, (hBOOL(hAPP(hAPP(c_in(X3),X1),X2))|c_Set_Oinsert(X1,X2,X3)!=c_Orderings_Obot__class_Obot(tc_fun(X3,tc_bool)))).
% 0.20/0.48 cnf(i_0_697, plain, (c_lessequals(hAPP(X2,X3),hAPP(X4,X3),X1)|~class_HOL_Oord(X1)|~c_lessequals(X2,X4,tc_fun(X5,X1)))).
% 0.20/0.48 cnf(i_0_799, plain, (hBOOL(hAPP(c_Set_Oinsert(X1,X2,X3),X1)))).
% 0.20/0.48 cnf(i_0_766, plain, (c_Natural_Oevaln(c_Com_Ocom_OSKIP,X1,X2,X1))).
% 0.20/0.48 cnf(i_0_758, plain, (X1=X2|~c_lessequals(X2,X1,tc_fun(X3,tc_bool))|~c_lessequals(X1,X2,tc_fun(X3,tc_bool)))).
% 0.20/0.48 cnf(i_0_759, plain, (X1=X2|~c_lessequals(X2,X1,tc_fun(X3,tc_bool))|~c_lessequals(X1,X2,tc_fun(X3,tc_bool)))).
% 0.20/0.48 cnf(i_0_909, plain, (hAPP(c_Lattices_Oupper__semilattice__class_Osup(v_f,v_g,tc_fun(t_a,t_b)),v_x)=c_Lattices_Oupper__semilattice__class_Osup(hAPP(v_f,v_x),hAPP(v_g,v_x),t_b)|~class_Lattices_Olattice(t_b))).
% 0.20/0.48 cnf(i_0_502, plain, (c_Fun_Oinj__on(c_Fun_Oid(X1),X2,X1,X1))).
% 0.20/0.48 cnf(i_0_727, plain, (c_Set_Oimage(c_Fun_Oid(X1),X2,X1,X1)=X2)).
% 0.20/0.48 cnf(i_0_660, plain, (c_Set_Ovimage(c_Fun_Oid(X1),X2,X1,X1)=X2)).
% 0.20/0.48 cnf(i_0_701, plain, (c_lessequals(X2,c_Lattices_Oupper__semilattice__class_Osup(X3,X4,X1),X1)|~class_Lattices_Oupper__semilattice(X1)|~c_lessequals(X2,X4,X1))).
% 0.20/0.48 cnf(i_0_700, plain, (c_lessequals(X2,c_Lattices_Oupper__semilattice__class_Osup(X3,X4,X1),X1)|~class_Lattices_Oupper__semilattice(X1)|~c_lessequals(X2,X3,X1))).
% 0.20/0.48 cnf(i_0_904, plain, (X1=X2|~hBOOL(hAPP(hAPP(hAPP(c_Natural_Oevalc,c_Com_Ocom_OSKIP),X2),X1)))).
% 0.20/0.48 cnf(i_0_764, plain, (c_lessequals(c_HOL_Ominus__class_Ominus(X2,X3,X1),c_HOL_Ozero__class_Ozero(X1),X1)|~class_OrderedGroup_Opordered__ab__group__add(X1)|~c_lessequals(X2,X3,X1))).
% 0.20/0.48 cnf(i_0_659, plain, (hAPP(c_HOL_Ominus__class_Ominus(X2,X3,tc_fun(t_a,X1)),v_x)=c_HOL_Ominus__class_Ominus(hAPP(X2,v_x),hAPP(X3,v_x),X1)|~class_HOL_Ominus(X1))).
% 0.20/0.48 cnf(i_0_935, plain, (hAPP(c_Lattices_Oupper__semilattice__class_Osup(X2,X3,tc_fun(t_a,X1)),v_x)=c_Lattices_Oupper__semilattice__class_Osup(hAPP(X2,v_x),hAPP(X3,v_x),X1)|~class_Lattices_Olattice(X1))).
% 0.20/0.48 cnf(i_0_889, plain, (c_Hoare__Mirabelle_Ohoare__derivs(X1,X2,X3)|~c_Hoare__Mirabelle_Ohoare__derivs(X4,X2,X3)|~c_lessequals(X4,X1,tc_fun(tc_Hoare__Mirabelle_Otriple(X3),tc_bool)))).
% 0.20/0.48 cnf(i_0_888, plain, (c_Hoare__Mirabelle_Ohoare__derivs(X1,X2,X3)|~c_Hoare__Mirabelle_Ohoare__derivs(X1,X4,X3)|~c_lessequals(X2,X4,tc_fun(tc_Hoare__Mirabelle_Otriple(X3),tc_bool)))).
% 0.20/0.48 cnf(i_0_549, plain, (hBOOL(hAPP(c_Set_Oinsert(X1,X2,X3),X4))|~hBOOL(hAPP(X2,X4)))).
% 0.20/0.48 cnf(i_0_523, plain, (c_Fun_Oinj__on(X1,c_Orderings_Obot__class_Obot(tc_fun(X2,tc_bool)),X2,X3))).
% 0.20/0.48 cnf(i_0_561, plain, (hBOOL(hAPP(X1,X3))|c_Natural_Oevaln(c_Com_Ocom_OWhile(X1,X2),X3,X4,X3))).
% 0.20/0.48 cnf(i_0_569, plain, (c_lessequals(X1,c_Set_Oinsert(X2,X3,X4),tc_fun(X4,tc_bool))|~c_lessequals(X1,X3,tc_fun(X4,tc_bool)))).
% 0.20/0.48 cnf(i_0_856, plain, (c_Lattices_Oupper__semilattice__class_Osup(X1,c_HOL_Ominus__class_Ominus(X2,X1,tc_fun(X3,tc_bool)),tc_fun(X3,tc_bool))=c_Lattices_Oupper__semilattice__class_Osup(X1,X2,tc_fun(X3,tc_bool)))).
% 0.20/0.48 cnf(i_0_950, plain, (c_Lattices_Oupper__semilattice__class_Osup(X1,c_Lattices_Oupper__semilattice__class_Osup(X1,X2,tc_fun(X3,tc_bool)),tc_fun(X3,tc_bool))=c_Lattices_Oupper__semilattice__class_Osup(X1,X2,tc_fun(X3,tc_bool)))).
% 0.20/0.48 cnf(i_0_510, plain, (c_HOL_Ominus__class_Ominus(c_HOL_Ominus__class_Ominus(X1,X2,tc_fun(X3,tc_bool)),X2,tc_fun(X3,tc_bool))=c_HOL_Ominus__class_Ominus(X1,X2,tc_fun(X3,tc_bool)))).
% 0.20/0.48 cnf(i_0_855, plain, (c_Lattices_Oupper__semilattice__class_Osup(c_HOL_Ominus__class_Ominus(X1,X2,tc_fun(X3,tc_bool)),X2,tc_fun(X3,tc_bool))=c_Lattices_Oupper__semilattice__class_Osup(X1,X2,tc_fun(X3,tc_bool)))).
% 0.20/0.48 cnf(i_0_699, plain, (c_lessequals(X2,X3,X1)|~class_Lattices_Oupper__semilattice(X1)|~c_lessequals(c_Lattices_Oupper__semilattice__class_Osup(X4,X2,X1),X3,X1))).
% 0.20/0.48 cnf(i_0_703, plain, (c_lessequals(X2,X3,X1)|~class_Lattices_Oupper__semilattice(X1)|~c_lessequals(c_Lattices_Oupper__semilattice__class_Osup(X4,X2,X1),X3,X1))).
% 0.20/0.48 cnf(i_0_698, plain, (c_lessequals(X2,X3,X1)|~class_Lattices_Oupper__semilattice(X1)|~c_lessequals(c_Lattices_Oupper__semilattice__class_Osup(X2,X4,X1),X3,X1))).
% 0.20/0.48 cnf(i_0_702, plain, (c_lessequals(X2,X3,X1)|~class_Lattices_Oupper__semilattice(X1)|~c_lessequals(c_Lattices_Oupper__semilattice__class_Osup(X2,X4,X1),X3,X1))).
% 0.20/0.48 cnf(i_0_841, plain, (c_lessequals(X5,X4,X1)|c_HOL_Ominus__class_Ominus(X2,X3,X1)!=c_HOL_Ominus__class_Ominus(X4,X5,X1)|~class_OrderedGroup_Opordered__ab__group__add(X1)|~c_lessequals(X3,X2,X1))).
% 0.20/0.48 cnf(i_0_842, plain, (c_lessequals(X3,X2,X1)|c_HOL_Ominus__class_Ominus(X2,X3,X1)!=c_HOL_Ominus__class_Ominus(X4,X5,X1)|~class_OrderedGroup_Opordered__ab__group__add(X1)|~c_lessequals(X5,X4,X1))).
% 0.20/0.48 cnf(i_0_499, plain, (hBOOL(hAPP(hAPP(c_in(X1),X2),c_Set_Oinsert(X2,X3,X1))))).
% 0.20/0.48 cnf(i_0_500, plain, (hBOOL(hAPP(hAPP(c_in(X1),X2),c_Set_Oinsert(X2,X3,X1))))).
% 0.20/0.48 cnf(i_0_501, plain, (hBOOL(hAPP(hAPP(c_in(X1),X2),c_Set_Oinsert(X2,X3,X1))))).
% 0.20/0.48 cnf(i_0_820, plain, (c_lessequals(X1,X2,tc_fun(X3,tc_bool))|~c_lessequals(X4,X2,tc_fun(X3,tc_bool))|~c_lessequals(X1,X4,tc_fun(X3,tc_bool)))).
% 0.20/0.48 cnf(i_0_506, plain, (c_Set_Oinsert(X1,c_Set_Oinsert(X2,X3,X4),X4)=c_Set_Oinsert(X2,c_Set_Oinsert(X1,X3,X4),X4))).
% 0.20/0.48 cnf(i_0_763, plain, (c_lessequals(X2,X3,X1)|~class_OrderedGroup_Opordered__ab__group__add(X1)|~c_lessequals(c_HOL_Ominus__class_Ominus(X2,X3,X1),c_HOL_Ozero__class_Ozero(X1),X1))).
% 0.20/0.48 cnf(i_0_728, plain, (c_Set_Oimage(X2,c_Orderings_Obot__class_Obot(tc_fun(X3,tc_bool)),X3,X1)=c_Orderings_Obot__class_Obot(tc_fun(X1,tc_bool)))).
% 0.20/0.48 cnf(i_0_726, plain, (c_Set_Oimage(X1,c_Orderings_Obot__class_Obot(tc_fun(X2,tc_bool)),X2,X3)=c_Orderings_Obot__class_Obot(tc_fun(X3,tc_bool)))).
% 0.20/0.48 cnf(i_0_846, 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)))).
% 0.20/0.48 cnf(i_0_591, 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)))).
% 0.20/0.48 cnf(i_0_887, 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))).
% 0.20/0.48 cnf(i_0_943, plain, (c_Lattices_Oupper__semilattice__class_Osup(X2,c_Lattices_Oupper__semilattice__class_Osup(X3,X4,X1),X1)=c_Lattices_Oupper__semilattice__class_Osup(X3,c_Lattices_Oupper__semilattice__class_Osup(X2,X4,X1),X1)|~class_Lattices_Oupper__semilattice(X1))).
% 0.20/0.48 cnf(i_0_944, plain, (c_Lattices_Oupper__semilattice__class_Osup(X2,c_Lattices_Oupper__semilattice__class_Osup(X3,X4,X1),X1)=c_Lattices_Oupper__semilattice__class_Osup(X3,c_Lattices_Oupper__semilattice__class_Osup(X2,X4,X1),X1)|~class_Lattices_Olattice(X1))).
% 0.20/0.48 cnf(i_0_942, plain, (c_Lattices_Oupper__semilattice__class_Osup(c_Lattices_Oupper__semilattice__class_Osup(X2,X3,X1),X4,X1)=c_Lattices_Oupper__semilattice__class_Osup(X2,c_Lattices_Oupper__semilattice__class_Osup(X3,X4,X1),X1)|~class_Lattices_Oupper__semilattice(X1))).
% 0.20/0.48 cnf(i_0_945, plain, (c_Lattices_Oupper__semilattice__class_Osup(c_Lattices_Oupper__semilattice__class_Osup(X2,X3,X1),X4,X1)=c_Lattices_Oupper__semilattice__class_Osup(X2,c_Lattices_Oupper__semilattice__class_Osup(X3,X4,X1),X1)|~class_Lattices_Olattice(X1))).
% 0.20/0.48 cnf(i_0_784, plain, (~hBOOL(hAPP(hAPP(c_in(X1),X2),c_Orderings_Obot__class_Obot(tc_fun(X1,tc_bool)))))).
% 0.20/0.48 cnf(i_0_785, plain, (~hBOOL(hAPP(hAPP(c_in(X1),X2),c_Orderings_Obot__class_Obot(tc_fun(X1,tc_bool)))))).
% 0.20/0.48 cnf(i_0_787, plain, (~hBOOL(hAPP(hAPP(c_in(X1),X2),c_Orderings_Obot__class_Obot(tc_fun(X1,tc_bool)))))).
% 0.20/0.48 cnf(i_0_535, plain, (X1=X3|c_Set_Oinsert(X1,c_Orderings_Obot__class_Obot(tc_fun(X2,tc_bool)),X2)!=c_Set_Oinsert(X3,c_Orderings_Obot__class_Obot(tc_fun(X2,tc_bool)),X2))).
% 0.20/0.48 cnf(i_0_711, plain, (c_lessequals(c_Lattices_Oupper__semilattice__class_Osup(X2,X3,X1),X4,X1)|~class_Lattices_Oupper__semilattice(X1)|~c_lessequals(X3,X4,X1)|~c_lessequals(X2,X4,X1))).
% 0.20/0.48 cnf(i_0_714, plain, (c_lessequals(c_Lattices_Oupper__semilattice__class_Osup(X2,X3,X1),X4,X1)|~class_Lattices_Oupper__semilattice(X1)|~c_lessequals(X3,X4,X1)|~c_lessequals(X2,X4,X1))).
% 0.20/0.48 cnf(i_0_715, plain, (c_lessequals(c_Lattices_Oupper__semilattice__class_Osup(X2,X3,X1),X4,X1)|~class_Lattices_Oupper__semilattice(X1)|~c_lessequals(X3,X4,X1)|~c_lessequals(X2,X4,X1))).
% 0.20/0.48 cnf(i_0_675, plain, (c_Lattices_Oupper__semilattice__class_Osup(c_Set_Oinsert(X1,c_Orderings_Obot__class_Obot(tc_fun(X3,tc_bool)),X3),X2,tc_fun(X3,tc_bool))=c_Set_Oinsert(X1,X2,X3))).
% 0.20/0.48 cnf(i_0_530, plain, (c_Lattices_Oupper__semilattice__class_Osup(X1,c_HOL_Ominus__class_Ominus(X2,X1,tc_fun(X3,tc_bool)),tc_fun(X3,tc_bool))=X2|~c_lessequals(X1,X2,tc_fun(X3,tc_bool)))).
% 0.20/0.48 cnf(i_0_786, plain, (hBOOL(hAPP(X1,X2))|~hBOOL(hAPP(hAPP(c_in(X3),X2),c_Orderings_Obot__class_Obot(tc_fun(X3,tc_bool)))))).
% 0.20/0.48 cnf(i_0_928, plain, (X4=X7|hAPP(hAPP(hAPP(c_Hoare__Mirabelle_Otriple_Otriple(X1),X2),X3),X4)!=hAPP(hAPP(hAPP(c_Hoare__Mirabelle_Otriple_Otriple(X1),X5),X6),X7))).
% 0.20/0.48 cnf(i_0_929, plain, (X3=X6|hAPP(hAPP(hAPP(c_Hoare__Mirabelle_Otriple_Otriple(X1),X2),X3),X4)!=hAPP(hAPP(hAPP(c_Hoare__Mirabelle_Otriple_Otriple(X1),X5),X6),X7))).
% 0.20/0.48 cnf(i_0_930, plain, (X2=X5|hAPP(hAPP(hAPP(c_Hoare__Mirabelle_Otriple_Otriple(X1),X2),X3),X4)!=hAPP(hAPP(hAPP(c_Hoare__Mirabelle_Otriple_Otriple(X1),X5),X6),X7))).
% 0.20/0.48 cnf(i_0_568, plain, (c_lessequals(X1,X2,tc_fun(X3,tc_bool))|~c_lessequals(c_Set_Oinsert(X4,X1,X3),X2,tc_fun(X3,tc_bool)))).
% 0.20/0.48 cnf(i_0_536, plain, (~hBOOL(hAPP(X1,X2))|~hBOOL(hAPP(hAPP(c_in(X3),X2),c_Orderings_Obot__class_Obot(tc_fun(X3,tc_bool)))))).
% 0.20/0.48 cnf(i_0_882, plain, (c_Hoare__Mirabelle_Otriple__valid(c_HOL_Ozero__class_Ozero(tc_nat),hAPP(hAPP(hAPP(c_Hoare__Mirabelle_Otriple_Otriple(X1),X2),hAPP(c_Com_Ocom_OBODY,X3)),X4),X1))).
% 0.20/0.48 cnf(i_0_933, plain, (hBOOL(hAPP(c_Lattices_Oupper__semilattice__class_Osup(X1,X2,tc_fun(X3,tc_bool)),X4))|~hBOOL(hAPP(X2,X4)))).
% 0.20/0.48 cnf(i_0_932, plain, (hBOOL(hAPP(c_Lattices_Oupper__semilattice__class_Osup(X1,X2,tc_fun(X3,tc_bool)),X4))|~hBOOL(hAPP(X1,X4)))).
% 0.20/0.48 cnf(i_0_656, plain, (X2=X4|hBOOL(hAPP(hAPP(c_in(X3),X1),X4))|hBOOL(hAPP(hAPP(c_in(X3),X1),X2))|c_Set_Oinsert(X1,X2,X3)!=c_Set_Oinsert(X1,X4,X3))).
% 0.20/0.48 cnf(i_0_691, plain, (X1=X2|~c_Natural_Oevaln(c_Com_Ocom_OSKIP,X2,X3,X1))).
% 0.20/0.48 cnf(i_0_747, plain, (c_Set_Oinsert(X2,c_Lattices_Oupper__semilattice__class_Osup(X1,X3,tc_fun(X4,tc_bool)),X4)=c_Lattices_Oupper__semilattice__class_Osup(X1,c_Set_Oinsert(X2,X3,X4),tc_fun(X4,tc_bool)))).
% 0.20/0.48 cnf(i_0_748, plain, (c_Set_Oinsert(X1,c_Lattices_Oupper__semilattice__class_Osup(X2,X4,tc_fun(X3,tc_bool)),X3)=c_Lattices_Oupper__semilattice__class_Osup(c_Set_Oinsert(X1,X2,X3),X4,tc_fun(X3,tc_bool)))).
% 0.20/0.48 cnf(i_0_547, plain, (hBOOL(hAPP(hAPP(c_in(X1),X2),X3))|~c_lessequals(c_Set_Oinsert(X2,X4,X1),X3,tc_fun(X1,tc_bool)))).
% 0.20/0.48 cnf(i_0_814, plain, (hBOOL(hAPP(hAPP(c_in(X1),X2),X3))|~c_lessequals(X4,X3,tc_fun(X1,tc_bool))|~hBOOL(hAPP(hAPP(c_in(X1),X2),X4)))).
% 0.20/0.48 cnf(i_0_815, plain, (hBOOL(hAPP(hAPP(c_in(X1),X2),X3))|~c_lessequals(X4,X3,tc_fun(X1,tc_bool))|~hBOOL(hAPP(hAPP(c_in(X1),X2),X4)))).
% 0.20/0.48 cnf(i_0_817, plain, (hBOOL(hAPP(hAPP(c_in(X1),X2),X3))|~c_lessequals(X4,X3,tc_fun(X1,tc_bool))|~hBOOL(hAPP(hAPP(c_in(X1),X2),X4)))).
% 0.20/0.48 cnf(i_0_818, plain, (hBOOL(hAPP(hAPP(c_in(X1),X2),X3))|~c_lessequals(X4,X3,tc_fun(X1,tc_bool))|~hBOOL(hAPP(hAPP(c_in(X1),X2),X4)))).
% 0.20/0.48 cnf(i_0_899, plain, (hBOOL(hAPP(X1,X3))|hBOOL(hAPP(hAPP(hAPP(c_Natural_Oevalc,c_Com_Ocom_OWhile(X1,X2)),X3),X3)))).
% 0.20/0.48 cnf(i_0_844, plain, (c_lessequals(c_Set_Oinsert(X1,X2,X3),c_Set_Oinsert(X1,X4,X3),tc_fun(X3,tc_bool))|~c_lessequals(X2,X4,tc_fun(X3,tc_bool)))).
% 0.20/0.48 cnf(i_0_551, plain, (hBOOL(hAPP(hAPP(c_in(X4),X2),X1))|c_lessequals(X1,c_Set_Oinsert(X2,X3,X4),tc_fun(X4,tc_bool))|~c_lessequals(X1,X3,tc_fun(X4,tc_bool)))).
% 0.20/0.48 cnf(i_0_654, plain, (hBOOL(hAPP(hAPP(c_in(X4),X2),X1))|c_lessequals(X1,c_Set_Oinsert(X2,X3,X4),tc_fun(X4,tc_bool))|~c_lessequals(X1,X3,tc_fun(X4,tc_bool)))).
% 0.20/0.48 cnf(i_0_604, plain, (X2=X3|hBOOL(hAPP(X1,X2))|~hBOOL(hAPP(c_Set_Oinsert(X3,X1,X4),X2)))).
% 0.20/0.48 cnf(i_0_566, plain, (c_HOL_Ominus__class_Ominus(c_Set_Oinsert(X1,X2,X3),X4,tc_fun(X3,tc_bool))=c_HOL_Ominus__class_Ominus(X2,X4,tc_fun(X3,tc_bool))|~hBOOL(hAPP(hAPP(c_in(X3),X1),X4)))).
% 0.20/0.48 cnf(i_0_734, plain, (c_lessequals(X1,X2,tc_fun(X3,tc_bool))|~c_lessequals(c_Lattices_Oupper__semilattice__class_Osup(X4,X1,tc_fun(X3,tc_bool)),X2,tc_fun(X3,tc_bool)))).
% 0.20/0.48 cnf(i_0_735, plain, (c_lessequals(X1,X2,tc_fun(X3,tc_bool))|~c_lessequals(c_Lattices_Oupper__semilattice__class_Osup(X1,X4,tc_fun(X3,tc_bool)),X2,tc_fun(X3,tc_bool)))).
% 0.20/0.48 cnf(i_0_722, plain, (X2=c_Orderings_Obot__class_Obot(tc_fun(X3,tc_bool))|c_Set_Oimage(X1,X2,X3,X4)!=c_Orderings_Obot__class_Obot(tc_fun(X4,tc_bool)))).
% 0.20/0.48 cnf(i_0_725, plain, (X3=c_Orderings_Obot__class_Obot(tc_fun(X4,tc_bool))|c_Set_Oimage(X2,X3,X4,X1)!=c_Orderings_Obot__class_Obot(tc_fun(X1,tc_bool)))).
% 0.20/0.48 cnf(i_0_940, plain, (c_Lattices_Oupper__semilattice__class_Osup(X1,c_Lattices_Oupper__semilattice__class_Osup(X2,X3,tc_fun(X4,tc_bool)),tc_fun(X4,tc_bool))=c_Lattices_Oupper__semilattice__class_Osup(X2,c_Lattices_Oupper__semilattice__class_Osup(X1,X3,tc_fun(X4,tc_bool)),tc_fun(X4,tc_bool)))).
% 0.20/0.48 cnf(i_0_941, plain, (c_Lattices_Oupper__semilattice__class_Osup(c_Lattices_Oupper__semilattice__class_Osup(X1,X2,tc_fun(X3,tc_bool)),X4,tc_fun(X3,tc_bool))=c_Lattices_Oupper__semilattice__class_Osup(X1,c_Lattices_Oupper__semilattice__class_Osup(X2,X4,tc_fun(X3,tc_bool)),tc_fun(X3,tc_bool)))).
% 0.20/0.48 cnf(i_0_836, plain, (X2=X3|hBOOL(hAPP(X1,X2))|~c_Natural_Oevaln(c_Com_Ocom_OWhile(X1,X4),X2,X5,X3))).
% 0.20/0.48 cnf(i_0_653, plain, (c_lessequals(X1,X2,tc_fun(X3,tc_bool))|hBOOL(hAPP(hAPP(c_in(X3),X4),X1))|~c_lessequals(X1,c_Set_Oinsert(X4,X2,X3),tc_fun(X3,tc_bool)))).
% 0.20/0.48 cnf(i_0_655, plain, (c_lessequals(X1,X2,tc_fun(X3,tc_bool))|hBOOL(hAPP(hAPP(c_in(X3),X4),X1))|~c_lessequals(X1,c_Set_Oinsert(X4,X2,X3),tc_fun(X3,tc_bool)))).
% 0.20/0.48 cnf(i_0_800, plain, (c_lessequals(c_Set_Oinsert(X1,X2,X3),X4,tc_fun(X3,tc_bool))|~c_lessequals(X2,X4,tc_fun(X3,tc_bool))|~hBOOL(hAPP(hAPP(c_in(X3),X1),X4)))).
% 0.20/0.48 cnf(i_0_749, plain, (c_lessequals(c_Lattices_Oupper__semilattice__class_Osup(X1,X2,tc_fun(X3,tc_bool)),X4,tc_fun(X3,tc_bool))|~c_lessequals(X2,X4,tc_fun(X3,tc_bool))|~c_lessequals(X1,X4,tc_fun(X3,tc_bool)))).
% 0.20/0.48 cnf(i_0_752, plain, (c_lessequals(c_Lattices_Oupper__semilattice__class_Osup(X1,X2,tc_fun(X3,tc_bool)),X4,tc_fun(X3,tc_bool))|~c_lessequals(X2,X4,tc_fun(X3,tc_bool))|~c_lessequals(X1,X4,tc_fun(X3,tc_bool)))).
% 0.20/0.48 cnf(i_0_840, plain, (c_HOL_Ominus__class_Ominus(X1,c_HOL_Ominus__class_Ominus(X2,X3,tc_fun(X4,tc_bool)),tc_fun(X4,tc_bool))=X3|~c_lessequals(X3,X1,tc_fun(X4,tc_bool))|~c_lessequals(X1,X2,tc_fun(X4,tc_bool)))).
% 0.20/0.48 cnf(i_0_827, plain, (hBOOL(hAPP(hAPP(c_in(X1),X2),c_Set_Oinsert(X3,X4,X1)))|~hBOOL(hAPP(hAPP(c_in(X1),X2),X4)))).
% 0.20/0.48 cnf(i_0_828, plain, (hBOOL(hAPP(hAPP(c_in(X1),X2),c_Set_Oinsert(X3,X4,X1)))|~hBOOL(hAPP(hAPP(c_in(X1),X2),X4)))).
% 0.20/0.48 cnf(i_0_687, plain, (c_HOL_Ominus__class_Ominus(c_Set_Oinsert(X1,X2,X3),X4,tc_fun(X3,tc_bool))=c_Set_Oinsert(X1,c_HOL_Ominus__class_Ominus(X2,X4,tc_fun(X3,tc_bool)),X3)|hBOOL(hAPP(hAPP(c_in(X3),X1),X4)))).
% 0.20/0.48 cnf(i_0_692, plain, (c_HOL_Ominus__class_Ominus(c_Set_Oinsert(X1,X2,X3),c_Set_Oinsert(X1,c_Orderings_Obot__class_Obot(tc_fun(X3,tc_bool)),X3),tc_fun(X3,tc_bool))=X2|hBOOL(hAPP(hAPP(c_in(X3),X1),X2)))).
% 0.20/0.48 cnf(i_0_955, negated_conjecture, (~hBOOL(hAPP(hAPP(hAPP(c_Natural_Oevalc,hAPP(c_Com_Ocom_OBODY,v_pn)),v_x),v_xa)))).
% 0.20/0.48 cnf(i_0_634, plain, (X2=X3|hAPP(X1,X2)!=hAPP(X1,X3)|~c_Fun_Oinj__on(X1,c_Orderings_Otop__class_Otop(tc_fun(X4,tc_bool)),X4,X5))).
% 0.20/0.48 cnf(i_0_830, plain, (hBOOL(hAPP(hAPP(c_in(X1),X2),c_Set_Oinsert(X2,c_Orderings_Obot__class_Obot(tc_fun(X1,tc_bool)),X1))))).
% 0.20/0.48 cnf(i_0_516, plain, (c_Set_Oinsert(X1,c_Set_Oinsert(X2,c_Orderings_Obot__class_Obot(tc_fun(X3,tc_bool)),X3),X3)=c_Set_Oinsert(X2,c_Set_Oinsert(X1,c_Orderings_Obot__class_Obot(tc_fun(X3,tc_bool)),X3),X3))).
% 0.20/0.48 cnf(i_0_931, plain, (X1=X2|~hBOOL(hAPP(hAPP(hAPP(c_Natural_Oevalc,X3),X4),X2))|~hBOOL(hAPP(hAPP(hAPP(c_Natural_Oevalc,X3),X4),X1)))).
% 0.20/0.48 cnf(i_0_905, plain, (hBOOL(hAPP(hAPP(hAPP(c_Natural_Oevalc,X1),X2),X3))|~c_Natural_Oevaln(X1,X2,X4,X3))).
% 0.20/0.48 cnf(i_0_906, plain, (hBOOL(hAPP(hAPP(hAPP(c_Natural_Oevalc,X1),X2),X3))|~c_Natural_Oevaln(X1,X2,X4,X3))).
% 0.20/0.48 cnf(i_0_886, plain, (c_Hoare__Mirabelle_Otriple_Otriple__case(X1,hAPP(hAPP(hAPP(c_Hoare__Mirabelle_Otriple_Otriple(X2),X3),X4),X5),X2,X6)=hAPP(hAPP(hAPP(X1,X3),X4),X5))).
% 0.20/0.48 cnf(i_0_885, plain, (c_Hoare__Mirabelle_Otriple_Otriple__rec(X1,hAPP(hAPP(hAPP(c_Hoare__Mirabelle_Otriple_Otriple(X2),X3),X4),X5),X2,X6)=hAPP(hAPP(hAPP(X1,X3),X4),X5))).
% 0.20/0.48 cnf(i_0_737, plain, (hBOOL(hAPP(hAPP(c_in(X1),X2),c_Lattices_Oupper__semilattice__class_Osup(X3,X4,tc_fun(X1,tc_bool))))|~hBOOL(hAPP(hAPP(c_in(X1),X2),X4)))).
% 0.20/0.48 cnf(i_0_736, plain, (hBOOL(hAPP(hAPP(c_in(X1),X2),c_Lattices_Oupper__semilattice__class_Osup(X3,X4,tc_fun(X1,tc_bool))))|~hBOOL(hAPP(hAPP(c_in(X1),X2),X3)))).
% 0.20/0.48 cnf(i_0_934, plain, (hBOOL(hAPP(X3,X2))|hBOOL(hAPP(X1,X2))|~hBOOL(hAPP(c_Lattices_Oupper__semilattice__class_Osup(X3,X1,tc_fun(X4,tc_bool)),X2)))).
% 0.20/0.48 cnf(i_0_834, plain, (X1=c_Orderings_Obot__class_Obot(tc_fun(X3,tc_bool))|X1=c_Set_Oinsert(X2,c_Orderings_Obot__class_Obot(tc_fun(X3,tc_bool)),X3)|~c_lessequals(X1,c_Set_Oinsert(X2,c_Orderings_Obot__class_Obot(tc_fun(X3,tc_bool)),X3),tc_fun(X3,tc_bool)))).
% 0.20/0.48 cnf(i_0_695, plain, (c_lessequals(X1,c_Lattices_Oupper__semilattice__class_Osup(X2,X3,tc_fun(X4,tc_bool)),tc_fun(X4,tc_bool))|~c_lessequals(c_HOL_Ominus__class_Ominus(X1,X2,tc_fun(X4,tc_bool)),X3,tc_fun(X4,tc_bool)))).
% 0.20/0.48 cnf(i_0_694, plain, (c_lessequals(c_HOL_Ominus__class_Ominus(X1,X2,tc_fun(X3,tc_bool)),X4,tc_fun(X3,tc_bool))|~c_lessequals(X1,c_Lattices_Oupper__semilattice__class_Osup(X2,X4,tc_fun(X3,tc_bool)),tc_fun(X3,tc_bool)))).
% 0.20/0.48 cnf(i_0_542, 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))).
% 0.20/0.48 cnf(i_0_857, plain, (c_Lattices_Oupper__semilattice__class_Osup(c_HOL_Ominus__class_Ominus(X1,X4,tc_fun(X3,tc_bool)),c_HOL_Ominus__class_Ominus(X2,X4,tc_fun(X3,tc_bool)),tc_fun(X3,tc_bool))=c_HOL_Ominus__class_Ominus(c_Lattices_Oupper__semilattice__class_Osup(X1,X2,tc_fun(X3,tc_bool)),X4,tc_fun(X3,tc_bool)))).
% 0.20/0.48 cnf(i_0_650, plain, (X2=X4|hBOOL(hAPP(hAPP(c_in(X1),X2),X3))|~hBOOL(hAPP(hAPP(c_in(X1),X2),c_Set_Oinsert(X4,X3,X1))))).
% 0.20/0.48 cnf(i_0_593, plain, (c_HOL_Ominus__class_Ominus(c_HOL_Ominus__class_Ominus(X1,X3,tc_fun(X4,tc_bool)),c_Set_Oinsert(X2,c_Orderings_Obot__class_Obot(tc_fun(X4,tc_bool)),X4),tc_fun(X4,tc_bool))=c_HOL_Ominus__class_Ominus(X1,c_Set_Oinsert(X2,X3,X4),tc_fun(X4,tc_bool)))).
% 0.20/0.48 cnf(i_0_648, plain, (c_lessequals(c_HOL_Ominus__class_Ominus(X1,X2,tc_fun(X3,tc_bool)),c_HOL_Ominus__class_Ominus(X4,X5,tc_fun(X3,tc_bool)),tc_fun(X3,tc_bool))|~c_lessequals(X5,X2,tc_fun(X3,tc_bool))|~c_lessequals(X1,X4,tc_fun(X3,tc_bool)))).
% 0.20/0.48 cnf(i_0_738, plain, (c_lessequals(c_Lattices_Oupper__semilattice__class_Osup(X1,X2,tc_fun(X3,tc_bool)),c_Lattices_Oupper__semilattice__class_Osup(X4,X5,tc_fun(X3,tc_bool)),tc_fun(X3,tc_bool))|~c_lessequals(X2,X5,tc_fun(X3,tc_bool))|~c_lessequals(X1,X4,tc_fun(X3,tc_bool)))).
% 0.20/0.48 cnf(i_0_895, plain, (X2=X3|hBOOL(hAPP(X1,X2))|~hBOOL(hAPP(hAPP(hAPP(c_Natural_Oevalc,c_Com_Ocom_OWhile(X1,X4)),X2),X3)))).
% 0.20/0.48 cnf(i_0_647, plain, (c_Natural_Oevaln(X1,X2,c_Suc(X3),X4)|~c_Natural_Oevaln(X1,X2,X3,X4))).
% 0.20/0.48 cnf(i_0_534, plain, (c_Set_Oinsert(X1,c_HOL_Ominus__class_Ominus(X2,c_Set_Oinsert(X1,c_Orderings_Obot__class_Obot(tc_fun(X3,tc_bool)),X3),tc_fun(X3,tc_bool)),X3)=c_Set_Oinsert(X1,X2,X3))).
% 0.20/0.48 cnf(i_0_543, plain, (hBOOL(hAPP(hAPP(c_in(X1),X2),X4))|hBOOL(hAPP(hAPP(c_in(X1),X2),c_HOL_Ominus__class_Ominus(X3,X4,tc_fun(X1,tc_bool))))|~hBOOL(hAPP(hAPP(c_in(X1),X2),X3)))).
% 0.20/0.48 cnf(i_0_544, plain, (hBOOL(hAPP(hAPP(c_in(X1),X2),X4))|hBOOL(hAPP(hAPP(c_in(X1),X2),c_HOL_Ominus__class_Ominus(X3,X4,tc_fun(X1,tc_bool))))|~hBOOL(hAPP(hAPP(c_in(X1),X2),X3)))).
% 0.20/0.48 cnf(i_0_954, negated_conjecture, (hBOOL(hAPP(hAPP(hAPP(c_Natural_Oevalc,hAPP(c_Option_Othe(tc_Com_Ocom),hAPP(c_Com_Obody,v_pn))),v_x),v_xa)))).
% 0.20/0.48 cnf(i_0_606, plain, (hBOOL(hAPP(hAPP(c_in(X1),X2),X3))|~hBOOL(hAPP(hAPP(c_in(X1),X2),c_HOL_Ominus__class_Ominus(X3,X4,tc_fun(X1,tc_bool)))))).
% 0.20/0.48 cnf(i_0_821, plain, (c_Fun_Oinj__on(X1,X2,X3,X4)|~c_Fun_Oinj__on(X1,X5,X3,X4)|~c_lessequals(X2,X5,tc_fun(X3,tc_bool)))).
% 0.20/0.48 cnf(i_0_524, plain, (X2=X3|hAPP(X1,X2)!=hAPP(X1,X3)|~c_Fun_Oinj__on(X1,X5,X4,X6)|~hBOOL(hAPP(hAPP(c_in(X4),X3),X5))|~hBOOL(hAPP(hAPP(c_in(X4),X2),X5)))).
% 0.20/0.48 cnf(i_0_525, plain, (X2=X3|hAPP(X1,X2)!=hAPP(X1,X3)|~c_Fun_Oinj__on(X1,X5,X4,X6)|~hBOOL(hAPP(hAPP(c_in(X4),X3),X5))|~hBOOL(hAPP(hAPP(c_in(X4),X2),X5)))).
% 0.20/0.48 cnf(i_0_526, plain, (X2=X3|hAPP(X1,X2)!=hAPP(X1,X3)|~c_Fun_Oinj__on(X1,X5,X4,X6)|~hBOOL(hAPP(hAPP(c_in(X4),X3),X5))|~hBOOL(hAPP(hAPP(c_in(X4),X2),X5)))).
% 0.20/0.48 cnf(i_0_527, plain, (X2=X3|hAPP(X1,X2)!=hAPP(X1,X3)|~c_Fun_Oinj__on(X1,X4,X5,X6)|~hBOOL(hAPP(hAPP(c_in(X5),X3),X4))|~hBOOL(hAPP(hAPP(c_in(X5),X2),X4)))).
% 0.20/0.48 cnf(i_0_839, plain, (c_Hoare__Mirabelle_Ohoare__derivs(X1,c_Set_Oinsert(X2,X3,tc_Hoare__Mirabelle_Otriple(X4)),X4)|~c_Hoare__Mirabelle_Ohoare__derivs(X1,X3,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))).
% 0.20/0.48 cnf(i_0_753, plain, (hBOOL(hAPP(X1,X4))|c_Natural_Oevaln(c_Com_Ocom_OCond(X1,X2,X3),X4,X5,X6)|~c_Natural_Oevaln(X3,X4,X5,X6))).
% 0.20/0.48 cnf(i_0_798, 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))).
% 0.20/0.48 cnf(i_0_912, plain, (c_Natural_Oevaln(hAPP(c_Com_Ocom_OBODY,X1),X2,c_Suc(X3),X4)|~c_Natural_Oevaln(hAPP(c_Option_Othe(tc_Com_Ocom),hAPP(c_Com_Obody,X1)),X2,X3,X4))).
% 0.20/0.48 cnf(i_0_579, plain, (c_Fun_Oinj__on(X1,c_HOL_Ominus__class_Ominus(X2,X3,tc_fun(X4,tc_bool)),X4,X5)|~c_Fun_Oinj__on(X1,X2,X4,X5))).
% 0.20/0.48 cnf(i_0_504, plain, (c_Natural_Oevaln(c_Com_Ocom_OCond(X1,X2,X3),X4,X5,X6)|~hBOOL(hAPP(X1,X4))|~c_Natural_Oevaln(X2,X4,X5,X6))).
% 0.20/0.48 cnf(i_0_811, plain, (c_Set_Oinsert(X1,c_HOL_Ominus__class_Ominus(X2,c_Set_Oinsert(X1,c_Orderings_Obot__class_Obot(tc_fun(X3,tc_bool)),X3),tc_fun(X3,tc_bool)),X3)=X2|~hBOOL(hAPP(hAPP(c_in(X3),X1),X2)))).
% 0.20/0.48 cnf(i_0_564, plain, (c_Fun_Oinj__on(X1,X2,X3,X4)|~c_Fun_Oinj__on(X1,c_Set_Oinsert(X5,X2,X3),X3,X4))).
% 0.20/0.48 cnf(i_0_608, plain, (~hBOOL(hAPP(hAPP(c_in(X1),X2),X3))|~hBOOL(hAPP(hAPP(c_in(X1),X2),c_HOL_Ominus__class_Ominus(X4,X3,tc_fun(X1,tc_bool)))))).
% 0.20/0.48 cnf(i_0_556, plain, (X1=X2|~hBOOL(hAPP(hAPP(c_in(X3),X1),c_Set_Oinsert(X2,c_Orderings_Obot__class_Obot(tc_fun(X3,tc_bool)),X3))))).
% 0.20/0.48 cnf(i_0_594, plain, (c_HOL_Ominus__class_Ominus(c_HOL_Ominus__class_Ominus(X1,c_Set_Oinsert(X2,c_Orderings_Obot__class_Obot(tc_fun(X4,tc_bool)),X4),tc_fun(X4,tc_bool)),X3,tc_fun(X4,tc_bool))=c_HOL_Ominus__class_Ominus(X1,c_Set_Oinsert(X2,X3,X4),tc_fun(X4,tc_bool)))).
% 0.20/0.48 cnf(i_0_652, plain, (hBOOL(hAPP(X5,X2))|c_Natural_Oevaln(X1,X2,X3,X4)|~c_Natural_Oevaln(c_Com_Ocom_OCond(X5,X6,X1),X2,X3,X4))).
% 0.20/0.48 cnf(i_0_772, plain, (X2=X5|X2=X4|c_Set_Oinsert(X1,c_Set_Oinsert(X2,c_Orderings_Obot__class_Obot(tc_fun(X3,tc_bool)),X3),X3)!=c_Set_Oinsert(X4,c_Set_Oinsert(X5,c_Orderings_Obot__class_Obot(tc_fun(X3,tc_bool)),X3),X3))).
% 0.20/0.48 cnf(i_0_771, plain, (X2=X5|X1=X5|c_Set_Oinsert(X1,c_Set_Oinsert(X2,c_Orderings_Obot__class_Obot(tc_fun(X3,tc_bool)),X3),X3)!=c_Set_Oinsert(X4,c_Set_Oinsert(X5,c_Orderings_Obot__class_Obot(tc_fun(X3,tc_bool)),X3),X3))).
% 0.20/0.48 cnf(i_0_770, plain, (X2=X4|X1=X4|c_Set_Oinsert(X1,c_Set_Oinsert(X2,c_Orderings_Obot__class_Obot(tc_fun(X3,tc_bool)),X3),X3)!=c_Set_Oinsert(X4,c_Set_Oinsert(X5,c_Orderings_Obot__class_Obot(tc_fun(X3,tc_bool)),X3),X3))).
% 0.20/0.48 cnf(i_0_769, plain, (X1=X5|X1=X4|c_Set_Oinsert(X1,c_Set_Oinsert(X2,c_Orderings_Obot__class_Obot(tc_fun(X3,tc_bool)),X3),X3)!=c_Set_Oinsert(X4,c_Set_Oinsert(X5,c_Orderings_Obot__class_Obot(tc_fun(X3,tc_bool)),X3),X3))).
% 0.20/0.48 cnf(i_0_505, plain, (c_Natural_Oevaln(X3,X2,X4,X5)|~hBOOL(hAPP(X1,X2))|~c_Natural_Oevaln(c_Com_Ocom_OCond(X1,X3,X6),X2,X4,X5))).
% 0.20/0.48 cnf(i_0_744, plain, (hBOOL(hAPP(hAPP(c_in(X1),X2),X4))|hBOOL(hAPP(hAPP(c_in(X1),X2),X3))|~hBOOL(hAPP(hAPP(c_in(X1),X2),c_Lattices_Oupper__semilattice__class_Osup(X4,X3,tc_fun(X1,tc_bool)))))).
% 0.20/0.48 cnf(i_0_859, plain, (c_Fun_Oinj__on(X1,X2,X3,X4)|~c_Fun_Oinj__on(X1,c_Lattices_Oupper__semilattice__class_Osup(X5,X2,tc_fun(X3,tc_bool)),X3,X4))).
% 0.20/0.48 cnf(i_0_860, plain, (c_Fun_Oinj__on(X1,X2,X3,X4)|~c_Fun_Oinj__on(X1,c_Lattices_Oupper__semilattice__class_Osup(X2,X5,tc_fun(X3,tc_bool)),X3,X4))).
% 0.20/0.48 cnf(i_0_683, plain, (c_Suc(c_Natural_Osko__Natural__Xevaln__elim__cases__6__1(X2,X1,X3,X4))=X1|~c_Natural_Oevaln(hAPP(c_Com_Ocom_OBODY,X2),X3,X1,X4))).
% 0.20/0.48 cnf(i_0_724, 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))).
% 0.20/0.48 cnf(i_0_903, plain, (hBOOL(hAPP(hAPP(hAPP(c_Natural_Oevalc,c_Com_Ocom_OSemi(X1,X2)),X3),X4))|~hBOOL(hAPP(hAPP(hAPP(c_Natural_Oevalc,X2),X5),X4))|~hBOOL(hAPP(hAPP(hAPP(c_Natural_Oevalc,X1),X3),X5)))).
% 0.20/0.48 cnf(i_0_550, plain, (c_Set_Oinsert(hAPP(X1,X2),c_Set_Oimage(X1,X3,X4,X5),X5)=c_Set_Oimage(X1,X3,X4,X5)|~hBOOL(hAPP(hAPP(c_in(X4),X2),X3)))).
% 0.20/0.48 cnf(i_0_773, plain, (hBOOL(hAPP(hAPP(X1,X2),X3))|~c_Natural_Oevaln(X4,X5,X6,X3)|~hBOOL(hAPP(hAPP(X7,X2),X5))|~c_Hoare__Mirabelle_Otriple__valid(X6,hAPP(hAPP(hAPP(c_Hoare__Mirabelle_Otriple_Otriple(t_a),X7),X4),X1),t_a))).
% 0.20/0.48 cnf(i_0_519, plain, (c_Natural_Oevaln(c_Com_Ocom_OSemi(X1,X2),X3,X4,X5)|~c_Natural_Oevaln(X2,X6,X4,X5)|~c_Natural_Oevaln(X1,X3,X4,X6))).
% 0.20/0.48 cnf(i_0_845, plain, (c_Natural_Oevaln(X5,X2,X3,X4)|c_Natural_Oevaln(X1,X2,X3,X4)|~c_Natural_Oevaln(c_Com_Ocom_OCond(X6,X5,X1),X2,X3,X4))).
% 0.20/0.48 cnf(i_0_558, plain, (c_lessequals(c_HOL_Ominus__class_Ominus(X1,c_Set_Oinsert(X2,c_Orderings_Obot__class_Obot(tc_fun(X3,tc_bool)),X3),tc_fun(X3,tc_bool)),X4,tc_fun(X3,tc_bool))|~hBOOL(hAPP(hAPP(c_in(X3),X2),X1))|~c_lessequals(X1,c_Set_Oinsert(X2,X4,X3),tc_fun(X3,tc_bool)))).
% 0.20/0.48 cnf(i_0_513, plain, (c_Natural_Oevaln(c_Com_Ocom_OWhile(X1,X2),X3,X4,X5)|~hBOOL(hAPP(X1,X3))|~c_Natural_Oevaln(X2,X3,X4,X6)|~c_Natural_Oevaln(c_Com_Ocom_OWhile(X1,X2),X6,X4,X5))).
% 0.20/0.48 cnf(i_0_838, plain, (hBOOL(hAPP(c_Set_Ovimage(X1,X2,X3,X4),X5))|~hBOOL(hAPP(X2,hAPP(X1,X5))))).
% 0.20/0.48 cnf(i_0_720, plain, (c_lessequals(c_Set_Oimage(X4,X1,X3,X5),c_Set_Oimage(X4,X2,X3,X5),tc_fun(X5,tc_bool))|~c_lessequals(X1,X2,tc_fun(X3,tc_bool)))).
% 0.20/0.48 cnf(i_0_721, plain, (c_lessequals(c_Set_Oimage(X1,X2,X3,X4),c_Set_Oimage(X1,X5,X3,X4),tc_fun(X4,tc_bool))|~c_lessequals(X2,X5,tc_fun(X3,tc_bool)))).
% 0.20/0.48 cnf(i_0_657, plain, (c_lessequals(c_Set_Ovimage(X1,X2,X3,X4),c_Set_Ovimage(X1,X5,X3,X4),tc_fun(X3,tc_bool))|~c_lessequals(X2,X5,tc_fun(X4,tc_bool)))).
% 0.20/0.48 cnf(i_0_916, plain, (c_Hoare__Mirabelle_Otriple__valid(X1,hAPP(hAPP(hAPP(c_Hoare__Mirabelle_Otriple_Otriple(X2),X3),hAPP(c_Option_Othe(tc_Com_Ocom),hAPP(c_Com_Obody,X4))),X5),X2)|~c_Hoare__Mirabelle_Otriple__valid(c_Suc(X1),hAPP(hAPP(hAPP(c_Hoare__Mirabelle_Otriple_Otriple(X2),X3),hAPP(c_Com_Ocom_OBODY,X4)),X5),X2))).
% 0.20/0.48 cnf(i_0_554, plain, (c_Fun_Ocomp(X1,c_Fun_Oid(X2),X2,X3,X2)=X1)).
% 0.20/0.48 cnf(i_0_806, plain, (c_Fun_Ofcomp(X1,c_Fun_Oid(X2),X3,X2,X2)=X1)).
% 0.20/0.48 cnf(i_0_553, plain, (c_Fun_Ocomp(c_Fun_Oid(X1),X2,X1,X1,X3)=X2)).
% 0.20/0.48 cnf(i_0_807, plain, (c_Fun_Ofcomp(c_Fun_Oid(X1),X2,X1,X1,X3)=X2)).
% 0.20/0.48 cnf(i_0_585, 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))).
% 0.20/0.48 cnf(i_0_911, plain, (c_Natural_Oevaln(hAPP(c_Option_Othe(tc_Com_Ocom),hAPP(c_Com_Obody,X1)),X2,c_Natural_Osko__Natural__Xevaln__elim__cases__6__1(X1,X3,X2,X4),X4)|~c_Natural_Oevaln(hAPP(c_Com_Ocom_OBODY,X1),X2,X3,X4))).
% 0.20/0.48 cnf(i_0_640, plain, (X2=X5|c_Set_Oimage(X1,X2,X3,X4)!=c_Set_Oimage(X1,X5,X3,X4)|~c_Fun_Oinj__on(X1,c_Orderings_Otop__class_Otop(tc_fun(X3,tc_bool)),X3,X4))).
% 0.20/0.48 cnf(i_0_557, plain, (hBOOL(hAPP(hAPP(c_in(X1),hAPP(X2,X3)),X4))|~hBOOL(hAPP(hAPP(c_in(X5),X3),X6))|~c_lessequals(c_Set_Oimage(X2,X6,X5,X1),X4,tc_fun(X1,tc_bool)))).
% 0.20/0.48 cnf(i_0_900, plain, (hBOOL(hAPP(hAPP(hAPP(c_Natural_Oevalc,c_Com_Ocom_OWhile(X1,X2)),X3),X4))|~hBOOL(hAPP(X1,X3))|~hBOOL(hAPP(hAPP(hAPP(c_Natural_Oevalc,X2),X3),X5))|~hBOOL(hAPP(hAPP(hAPP(c_Natural_Oevalc,c_Com_Ocom_OWhile(X1,X2)),X5),X4)))).
% 0.20/0.48 cnf(i_0_915, plain, (c_Hoare__Mirabelle_Otriple__valid(c_Suc(X1),hAPP(hAPP(hAPP(c_Hoare__Mirabelle_Otriple_Otriple(X2),X3),hAPP(c_Com_Ocom_OBODY,X4)),X5),X2)|~c_Hoare__Mirabelle_Otriple__valid(X1,hAPP(hAPP(hAPP(c_Hoare__Mirabelle_Otriple_Otriple(X2),X3),hAPP(c_Option_Othe(tc_Com_Ocom),hAPP(c_Com_Obody,X4))),X5),X2))).
% 0.20/0.48 cnf(i_0_688, plain, (c_lessequals(X1,c_Set_Oinsert(X2,X3,X4),tc_fun(X4,tc_bool))|~c_lessequals(X1,X3,tc_fun(X4,tc_bool))|~c_lessequals(c_HOL_Ominus__class_Ominus(X1,c_Set_Oinsert(X2,c_Orderings_Obot__class_Obot(tc_fun(X4,tc_bool)),X4),tc_fun(X4,tc_bool)),X3,tc_fun(X4,tc_bool)))).
% 0.20/0.48 cnf(i_0_896, plain, (hBOOL(hAPP(X1,X4))|hBOOL(hAPP(hAPP(hAPP(c_Natural_Oevalc,c_Com_Ocom_OCond(X1,X2,X3)),X4),X5))|~hBOOL(hAPP(hAPP(hAPP(c_Natural_Oevalc,X3),X4),X5)))).
% 0.20/0.48 cnf(i_0_901, plain, (hBOOL(hAPP(hAPP(hAPP(c_Natural_Oevalc,c_Com_Ocom_OCond(X1,X2,X3)),X4),X5))|~hBOOL(hAPP(X1,X4))|~hBOOL(hAPP(hAPP(hAPP(c_Natural_Oevalc,X2),X4),X5)))).
% 0.20/0.48 cnf(i_0_925, plain, (hBOOL(hAPP(hAPP(hAPP(c_Natural_Oevalc,hAPP(c_Option_Othe(tc_Com_Ocom),hAPP(c_Com_Obody,X1))),X2),X3))|~hBOOL(hAPP(hAPP(hAPP(c_Natural_Oevalc,hAPP(c_Com_Ocom_OBODY,X1)),X2),X3)))).
% 0.20/0.48 cnf(i_0_729, plain, (hBOOL(hAPP(hAPP(c_in(X4),hAPP(X5,X2)),c_Set_Oimage(X5,X3,X1,X4)))|~hBOOL(hAPP(hAPP(c_in(X1),X2),X3)))).
% 0.20/0.48 cnf(i_0_730, plain, (hBOOL(hAPP(hAPP(c_in(X4),hAPP(X5,X2)),c_Set_Oimage(X5,X3,X1,X4)))|~hBOOL(hAPP(hAPP(c_in(X1),X2),X3)))).
% 0.20/0.48 cnf(i_0_731, plain, (hBOOL(hAPP(hAPP(c_in(X1),hAPP(X2,X3)),c_Set_Oimage(X2,X4,X5,X1)))|~hBOOL(hAPP(hAPP(c_in(X5),X3),X4)))).
% 0.20/0.48 cnf(i_0_732, plain, (hBOOL(hAPP(hAPP(c_in(X1),hAPP(X2,X3)),c_Set_Oimage(X2,X4,X5,X1)))|~hBOOL(hAPP(hAPP(c_in(X5),X3),X4)))).
% 0.20/0.48 cnf(i_0_559, plain, (c_lessequals(X1,c_Set_Oinsert(X2,X3,X4),tc_fun(X4,tc_bool))|~hBOOL(hAPP(hAPP(c_in(X4),X2),X1))|~c_lessequals(c_HOL_Ominus__class_Ominus(X1,c_Set_Oinsert(X2,c_Orderings_Obot__class_Obot(tc_fun(X4,tc_bool)),X4),tc_fun(X4,tc_bool)),X3,tc_fun(X4,tc_bool)))).
% 0.20/0.48 cnf(i_0_560, plain, (c_lessequals(X1,c_Set_Oinsert(X2,X3,X4),tc_fun(X4,tc_bool))|~hBOOL(hAPP(hAPP(c_in(X4),X2),X1))|~c_lessequals(c_HOL_Ominus__class_Ominus(X1,c_Set_Oinsert(X2,c_Orderings_Obot__class_Obot(tc_fun(X4,tc_bool)),X4),tc_fun(X4,tc_bool)),X3,tc_fun(X4,tc_bool)))).
% 0.20/0.48 cnf(i_0_512, plain, (hBOOL(hAPP(hAPP(c_in(X1),hAPP(X2,X3)),c_Set_Oimage(X2,c_Orderings_Otop__class_Otop(tc_fun(X4,tc_bool)),X4,X1))))).
% 0.20/0.48 cnf(i_0_914, plain, (X2=X5|c_Set_Oimage(X1,X2,X3,X4)!=c_Set_Oimage(X1,X5,X3,X4)|~c_Fun_Oinj__on(X1,c_Lattices_Oupper__semilattice__class_Osup(X2,X5,tc_fun(X3,tc_bool)),X3,X4))).
% 0.20/0.48 cnf(i_0_664, plain, (hBOOL(hAPP(hAPP(c_in(X1),X2),c_Set_Ovimage(X3,X4,X1,X5)))|~hBOOL(hAPP(hAPP(c_in(X5),hAPP(X3,X2)),X4)))).
% 0.20/0.48 cnf(i_0_665, plain, (hBOOL(hAPP(hAPP(c_in(X1),X2),c_Set_Ovimage(X3,X4,X1,X5)))|~hBOOL(hAPP(hAPP(c_in(X5),hAPP(X3,X2)),X4)))).
% 0.20/0.48 cnf(i_0_666, plain, (hBOOL(hAPP(hAPP(c_in(X1),X2),c_Set_Ovimage(X3,X4,X1,X5)))|~hBOOL(hAPP(hAPP(c_in(X5),hAPP(X3,X2)),X4)))).
% 0.20/0.48 cnf(i_0_923, plain, (c_Lattices_Oupper__semilattice__class_Osup(c_Set_Oimage(X1,X2,X4,X5),c_Set_Oimage(X1,X3,X4,X5),tc_fun(X5,tc_bool))=c_Set_Oimage(X1,c_Lattices_Oupper__semilattice__class_Osup(X2,X3,tc_fun(X4,tc_bool)),X4,X5))).
% 0.20/0.48 cnf(i_0_581, plain, (c_HOL_Ominus__class_Ominus(c_Set_Ovimage(X1,X2,X5,X4),c_Set_Ovimage(X1,X3,X5,X4),tc_fun(X5,tc_bool))=c_Set_Ovimage(X1,c_HOL_Ominus__class_Ominus(X2,X3,tc_fun(X4,tc_bool)),X5,X4))).
% 0.20/0.48 cnf(i_0_858, plain, (c_Lattices_Oupper__semilattice__class_Osup(c_Set_Ovimage(X1,X2,X5,X4),c_Set_Ovimage(X1,X3,X5,X4),tc_fun(X5,tc_bool))=c_Set_Ovimage(X1,c_Lattices_Oupper__semilattice__class_Osup(X2,X3,tc_fun(X4,tc_bool)),X5,X4))).
% 0.20/0.48 cnf(i_0_584, plain, (c_lessequals(c_Set_Oimage(X1,c_Set_Ovimage(X1,X2,X3,X4),X3,X4),X2,tc_fun(X4,tc_bool)))).
% 0.20/0.48 cnf(i_0_924, plain, (hBOOL(hAPP(hAPP(hAPP(c_Natural_Oevalc,hAPP(c_Com_Ocom_OBODY,X1)),X2),X3))|~hBOOL(hAPP(hAPP(hAPP(c_Natural_Oevalc,hAPP(c_Option_Othe(tc_Com_Ocom),hAPP(c_Com_Obody,X1))),X2),X3)))).
% 0.20/0.48 cnf(i_0_563, plain, (c_lessequals(c_Set_Oimage(X1,X2,X3,X4),c_Set_Oimage(X1,X5,X3,X4),tc_fun(X4,tc_bool))|~c_lessequals(X2,X5,tc_fun(X3,tc_bool))|~c_Fun_Oinj__on(X1,c_Orderings_Otop__class_Otop(tc_fun(X3,tc_bool)),X3,X4))).
% 0.20/0.48 cnf(i_0_837, plain, (hBOOL(hAPP(X1,hAPP(X2,X3)))|~hBOOL(hAPP(c_Set_Ovimage(X2,X1,X4,X5),X3)))).
% 0.20/0.48 cnf(i_0_897, plain, (hBOOL(hAPP(X4,X2))|hBOOL(hAPP(hAPP(hAPP(c_Natural_Oevalc,X1),X2),X3))|~hBOOL(hAPP(hAPP(hAPP(c_Natural_Oevalc,c_Com_Ocom_OCond(X4,X5,X1)),X2),X3)))).
% 0.20/0.48 cnf(i_0_629, plain, (hBOOL(hAPP(hAPP(c_in(X1),hAPP(X2,X3)),c_Set_Oimage(X2,X4,X5,X1)))|~hBOOL(hAPP(hAPP(c_in(X5),X3),X4))|~c_Fun_Oinj__on(X2,c_Orderings_Otop__class_Otop(tc_fun(X5,tc_bool)),X5,X1))).
% 0.20/0.48 cnf(i_0_902, plain, (hBOOL(hAPP(hAPP(hAPP(c_Natural_Oevalc,X3),X2),X4))|~hBOOL(hAPP(X1,X2))|~hBOOL(hAPP(hAPP(hAPP(c_Natural_Oevalc,c_Com_Ocom_OCond(X1,X3,X5)),X2),X4)))).
% 0.20/0.48 cnf(i_0_835, plain, (c_Lattices_Oupper__semilattice__class_Osup(c_Set_Ovimage(X1,c_Set_Oinsert(X2,c_Orderings_Obot__class_Obot(tc_fun(X4,tc_bool)),X4),X5,X4),c_Set_Ovimage(X1,X3,X5,X4),tc_fun(X5,tc_bool))=c_Set_Ovimage(X1,c_Set_Oinsert(X2,X3,X4),X5,X4))).
% 0.20/0.48 cnf(i_0_667, plain, (hBOOL(hAPP(hAPP(c_in(X1),hAPP(X2,X3)),X4))|~hBOOL(hAPP(hAPP(c_in(X5),X3),c_Set_Ovimage(X2,X4,X5,X1))))).
% 0.20/0.48 cnf(i_0_668, plain, (hBOOL(hAPP(hAPP(c_in(X1),hAPP(X2,X3)),X4))|~hBOOL(hAPP(hAPP(c_in(X5),X3),c_Set_Ovimage(X2,X4,X5,X1))))).
% 0.20/0.48 cnf(i_0_546, plain, (c_HOL_Ominus__class_Ominus(c_Set_Oimage(X1,X2,X4,X5),c_Set_Oimage(X1,X3,X4,X5),tc_fun(X5,tc_bool))=c_Set_Oimage(X1,c_HOL_Ominus__class_Ominus(X2,X3,tc_fun(X4,tc_bool)),X4,X5)|~c_Fun_Oinj__on(X1,c_Orderings_Otop__class_Otop(tc_fun(X4,tc_bool)),X4,X5))).
% 0.20/0.48 cnf(i_0_690, plain, (c_lessequals(c_Set_Ovimage(X1,X2,X3,X4),X5,tc_fun(X3,tc_bool))|~c_Fun_Oinj__on(X1,c_Orderings_Otop__class_Otop(tc_fun(X3,tc_bool)),X3,X4)|~c_lessequals(X2,c_Set_Oimage(X1,X5,X3,X4),tc_fun(X4,tc_bool)))).
% 0.20/0.48 cnf(i_0_894, plain, (hBOOL(hAPP(hAPP(hAPP(c_Natural_Oevalc,X4),X2),X3))|hBOOL(hAPP(hAPP(hAPP(c_Natural_Oevalc,X1),X2),X3))|~hBOOL(hAPP(hAPP(hAPP(c_Natural_Oevalc,c_Com_Ocom_OCond(X5,X4,X1)),X2),X3)))).
% 0.20/0.48 cnf(i_0_829, plain, (c_HOL_Ominus__class_Ominus(c_Set_Oimage(X1,X2,X4,X5),c_Set_Oimage(X1,X3,X4,X5),tc_fun(X5,tc_bool))=c_Set_Oimage(X1,c_HOL_Ominus__class_Ominus(X2,X3,tc_fun(X4,tc_bool)),X4,X5)|~c_Fun_Oinj__on(X1,X6,X4,X5)|~c_lessequals(X3,X6,tc_fun(X4,tc_bool))|~c_lessequals(X2,X6,tc_fun(X4,tc_bool)))).
% 0.20/0.48 cnf(i_0_598, plain, (hBOOL(hAPP(hAPP(c_in(X1),X2),c_Set_Ovimage(X3,c_Set_Oinsert(hAPP(X3,X2),c_Orderings_Obot__class_Obot(tc_fun(X4,tc_bool)),X4),X1,X4))))).
% 0.20/0.48 cnf(i_0_562, plain, (c_lessequals(X1,X2,tc_fun(X3,tc_bool))|~c_Fun_Oinj__on(X4,c_Orderings_Otop__class_Otop(tc_fun(X3,tc_bool)),X3,X5)|~c_lessequals(c_Set_Oimage(X4,X1,X3,X5),c_Set_Oimage(X4,X2,X3,X5),tc_fun(X5,tc_bool)))).
% 0.20/0.48 cnf(i_0_496, plain, (hAPP(c_Fun_Ocomp(v_f,v_g,t_a,t_b,t_c),v_x)=hAPP(v_f,hAPP(v_g,v_x)))).
% 0.20/0.48 cnf(i_0_635, plain, (hAPP(c_Fun_Ofcomp(v_f,v_g,t_a,t_b,t_c),v_x)=hAPP(v_g,hAPP(v_f,v_x)))).
% 0.20/0.48 cnf(i_0_863, plain, (hAPP(c_Fun_Ocomp(X1,X2,X3,X4,t_a),v_x)=hAPP(X1,hAPP(X2,v_x)))).
% 0.20/0.48 cnf(i_0_865, plain, (hAPP(c_Fun_Ofcomp(X1,X2,t_a,X3,X4),v_x)=hAPP(X2,hAPP(X1,v_x)))).
% 0.20/0.48 cnf(i_0_628, plain, (hBOOL(hAPP(hAPP(c_in(X1),X2),X3))|~c_Fun_Oinj__on(X5,c_Orderings_Otop__class_Otop(tc_fun(X1,tc_bool)),X1,X4)|~hBOOL(hAPP(hAPP(c_in(X4),hAPP(X5,X2)),c_Set_Oimage(X5,X3,X1,X4))))).
% 0.20/0.48 cnf(i_0_627, plain, (hAPP(c_Fun_Ocomp(X1,X2,X4,X5,X6),X3)=hAPP(X1,hAPP(X2,X3)))).
% 0.20/0.48 cnf(i_0_626, plain, (hAPP(c_Fun_Ocomp(X1,X2,X3,X4,X5),X6)=hAPP(X1,hAPP(X2,X6)))).
% 0.20/0.48 cnf(i_0_789, plain, (hAPP(c_Fun_Ofcomp(X1,X2,X3,X4,X5),X6)=hAPP(X2,hAPP(X1,X6)))).
% 0.20/0.48 cnf(i_0_938, plain, (hAPP(c_COMBB(X1,X2,X3,X4,X5),X6)=hAPP(X1,hAPP(X2,X6)))).
% 0.20/0.48 cnf(i_0_984, plain, (hAPP(c_COMBB(X1,X2,X3,X4,X5),X6)=hAPP(X1,hAPP(X2,X6)))).
% 0.20/0.48 cnf(i_0_509, plain, (hAPP(c_COMBC(X1,X2,X3,X4,X5),X6)=hAPP(hAPP(X1,X6),X2))).
% 0.20/0.48 cnf(i_0_983, plain, (hAPP(c_COMBC(X1,X2,X3,X4,X5),X6)=hAPP(hAPP(X1,X6),X2))).
% 0.20/0.48 cnf(i_0_939, plain, (hAPP(c_COMBS(X1,X2,X3,X4,X5),X6)=hAPP(hAPP(X1,X6),hAPP(X2,X6)))).
% 0.20/0.48 cnf(i_0_982, plain, (hAPP(c_COMBS(X1,X2,X3,X4,X5),X6)=hAPP(hAPP(X1,X6),hAPP(X2,X6)))).
% 0.20/0.48 cnf(i_0_521, plain, (c_lessequals(c_HOL_Ominus__class_Ominus(c_Set_Oimage(X1,X2,X3,X4),c_Set_Oimage(X1,X5,X3,X4),tc_fun(X4,tc_bool)),c_Set_Oimage(X1,c_HOL_Ominus__class_Ominus(X2,X5,tc_fun(X3,tc_bool)),X3,X4),tc_fun(X4,tc_bool)))).
% 0.20/0.48 cnf(i_0_790, plain, (hAPP(X1,X2)=X3|~hBOOL(hAPP(hAPP(c_in(X4),X2),c_Set_Ovimage(X1,c_Set_Oinsert(X3,c_Orderings_Obot__class_Obot(tc_fun(X5,tc_bool)),X5),X4,X5))))).
% 0.20/0.48 cnf(i_0_920, plain, (c_Hoare__Mirabelle_Ohoare__derivs(X1,c_Set_Oinsert(hAPP(hAPP(hAPP(c_Hoare__Mirabelle_Otriple_Otriple(X2),X3),hAPP(c_Com_Ocom_OBODY,X4)),X5),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),hAPP(c_Option_Othe(tc_Com_Ocom),hAPP(c_Com_Obody,X4))),X5),c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(X2),tc_bool)),tc_Hoare__Mirabelle_Otriple(X2)),X2))).
% 0.20/0.48 cnf(i_0_883, plain, (hBOOL(hAPP(X1,hAPP(hAPP(hAPP(X2,X3),X4),X5)))|~hBOOL(hAPP(X1,c_Hoare__Mirabelle_Otriple_Otriple__case(X2,hAPP(hAPP(hAPP(c_Hoare__Mirabelle_Otriple_Otriple(t_b),X3),X4),X5),t_b,t_a))))).
% 0.20/0.48 cnf(i_0_884, plain, (hBOOL(hAPP(X1,hAPP(hAPP(hAPP(X2,X3),X4),X5)))|~hBOOL(hAPP(X1,c_Hoare__Mirabelle_Otriple_Otriple__case(X2,hAPP(hAPP(hAPP(c_Hoare__Mirabelle_Otriple_Otriple(t_b),X3),X4),X5),t_b,t_a))))).
% 0.20/0.48 cnf(i_0_926, 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))).
% 0.20/0.48 cnf(i_0_723, plain, (c_Set_Oimage(c_Fun_Ocomp(X1,X2,X3,X4,X5),X6,X5,X4)=c_Set_Oimage(X1,c_Set_Oimage(X2,X6,X5,X3),X3,X4))).
% 0.20/0.48 cnf(i_0_663, plain, (c_Set_Ovimage(c_Fun_Ocomp(X1,X2,X3,X4,X5),X6,X5,X4)=c_Set_Ovimage(X2,c_Set_Ovimage(X1,X6,X3,X4),X5,X3))).
% 0.20/0.48 cnf(i_0_552, plain, (c_Hoare__Mirabelle_Ohoare__derivs(c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(tc_Com_Ostate),tc_bool)),c_Set_Oinsert(hAPP(hAPP(hAPP(c_Hoare__Mirabelle_Otriple_Otriple(tc_Com_Ostate),X1),X2),X3),c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(tc_Com_Ostate),tc_bool)),tc_Hoare__Mirabelle_Otriple(tc_Com_Ostate)),tc_Com_Ostate)|~c_Hoare__Mirabelle_Ohoare__valids(c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(tc_Com_Ostate),tc_bool)),c_Set_Oinsert(hAPP(hAPP(hAPP(c_Hoare__Mirabelle_Otriple_Otriple(tc_Com_Ostate),X1),X2),X3),c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(tc_Com_Ostate),tc_bool)),tc_Hoare__Mirabelle_Otriple(tc_Com_Ostate)),tc_Com_Ostate)|~c_Hoare__Mirabelle_Ohoare__derivs(c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(tc_Com_Ostate),tc_bool)),c_Set_Oinsert(hAPP(hAPP(hAPP(c_Hoare__Mirabelle_Otriple_Otriple(tc_Com_Ostate),c_fequal(tc_Com_Ostate)),X2),hAPP(c_Natural_Oevalc,X2)),c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(tc_Com_Ostate),tc_bool)),tc_Hoare__Mirabelle_Otriple(tc_Com_Ostate)),tc_Com_Ostate))).
% 0.20/0.48 cnf(i_0_642, 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))).
% 0.20/0.48 cnf(i_0_913, plain, (c_Set_Oimage(c_COMBB(X1,X2,X3,X4,X5),c_Orderings_Otop__class_Otop(tc_fun(X5,tc_bool)),X5,X4)=c_Set_Oimage(X1,c_Set_Oimage(X2,c_Orderings_Otop__class_Otop(tc_fun(X5,tc_bool)),X5,X3),X3,X4))).
% 0.20/0.48 cnf(i_0_658, plain, (hAPP(X1,hAPP(X2,X7))=hAPP(X6,X7)|c_Fun_Ocomp(X1,X2,X3,X4,X5)!=c_Fun_Ocomp(c_Fun_Oid(X4),X6,X4,X4,X5))).
% 0.20/0.48 cnf(i_0_832, plain, (hAPP(X1,hAPP(X2,X9))=hAPP(X6,hAPP(X7,X9))|c_Fun_Ocomp(X1,X2,X3,X4,X5)!=c_Fun_Ocomp(X6,X7,X8,X4,X5))).
% 0.20/0.48 cnf(i_0_540, plain, (X2=X3|c_COMBC(c_in(X1),X2,X1,tc_fun(X1,tc_bool),tc_bool)!=c_COMBC(c_in(X1),X3,X1,tc_fun(X1,tc_bool),tc_bool))).
% 0.20/0.48 cnf(i_0_676, plain, (c_Fun_Oinj__on(c_Fun_Ocomp(X1,X2,X3,X4,X5),X6,X5,X4)|~c_Fun_Oinj__on(X2,X6,X5,X3)|~c_Fun_Oinj__on(X1,c_Set_Oimage(X2,X6,X5,X3),X3,X4))).
% 0.20/0.48 cnf(i_0_498, plain, (c_Fun_Oinj__on(X1,c_Set_Oinsert(X2,X3,X4),X4,X5)|hBOOL(hAPP(hAPP(c_in(X5),hAPP(X1,X2)),c_Set_Oimage(X1,c_HOL_Ominus__class_Ominus(X3,c_Set_Oinsert(X2,c_Orderings_Obot__class_Obot(tc_fun(X4,tc_bool)),X4),tc_fun(X4,tc_bool)),X4,X5)))|~c_Fun_Oinj__on(X1,X3,X4,X5))).
% 0.20/0.48 cnf(i_0_919, plain, (c_Hoare__Mirabelle_Ohoare__derivs(X1,c_Set_Oinsert(hAPP(hAPP(hAPP(c_Hoare__Mirabelle_Otriple_Otriple(X2),X3),hAPP(c_Com_Ocom_OBODY,X4)),X5),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(c_Set_Oinsert(hAPP(hAPP(hAPP(c_Hoare__Mirabelle_Otriple_Otriple(X2),X3),hAPP(c_Com_Ocom_OBODY,X4)),X5),X1,tc_Hoare__Mirabelle_Otriple(X2)),c_Set_Oinsert(hAPP(hAPP(hAPP(c_Hoare__Mirabelle_Otriple_Otriple(X2),X3),hAPP(c_Option_Othe(tc_Com_Ocom),hAPP(c_Com_Obody,X4))),X5),c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(X2),tc_bool)),tc_Hoare__Mirabelle_Otriple(X2)),X2))).
% 0.20/0.48 cnf(i_0_555, plain, (c_Fun_Oinj__on(X1,c_Set_Oimage(X2,X3,X4,X5),X5,X6)|~c_Fun_Oinj__on(c_Fun_Ocomp(X1,X2,X5,X6,X4),X3,X4,X6))).
% 0.20/0.48 cnf(i_0_833, plain, (hAPP(c_Fun_Ocomp(X1,X2,X7,X8,X9),X3)=hAPP(c_Fun_Ocomp(X4,X5,X10,X8,X11),X6)|hAPP(X1,hAPP(X2,X3))!=hAPP(X4,hAPP(X5,X6)))).
% 0.20/0.48 cnf(i_0_755, plain, (c_lessequals(c_COMBC(c_in(X1),X2,X1,tc_fun(X1,tc_bool),tc_bool),c_COMBC(c_in(X1),X3,X1,tc_fun(X1,tc_bool),tc_bool),tc_fun(X1,tc_bool))|~c_lessequals(X2,X3,tc_fun(X1,tc_bool)))).
% 0.20/0.48 cnf(i_0_684, plain, (~c_Fun_Oinj__on(X2,c_Set_Oinsert(X3,X4,X5),X5,X1)|~hBOOL(hAPP(hAPP(c_in(X1),hAPP(X2,X3)),c_Set_Oimage(X2,c_HOL_Ominus__class_Ominus(X4,c_Set_Oinsert(X3,c_Orderings_Obot__class_Obot(tc_fun(X5,tc_bool)),X5),tc_fun(X5,tc_bool)),X5,X1))))).
% 0.20/0.48 cnf(i_0_910, plain, (c_Hoare__Mirabelle_Ohoare__derivs(X1,c_Set_Oinsert(hAPP(hAPP(hAPP(c_Hoare__Mirabelle_Otriple_Otriple(tc_Com_Ostate),c_fequal(tc_Com_Ostate)),hAPP(c_Com_Ocom_OBODY,X2)),hAPP(c_Natural_Oevalc,hAPP(c_Com_Ocom_OBODY,X2))),c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(tc_Com_Ostate),tc_bool)),tc_Hoare__Mirabelle_Otriple(tc_Com_Ostate)),tc_Com_Ostate)|~c_Hoare__Mirabelle_Ohoare__derivs(c_Set_Oinsert(hAPP(hAPP(hAPP(c_Hoare__Mirabelle_Otriple_Otriple(tc_Com_Ostate),c_fequal(tc_Com_Ostate)),hAPP(c_Com_Ocom_OBODY,X2)),hAPP(c_Natural_Oevalc,hAPP(c_Com_Ocom_OBODY,X2))),X1,tc_Hoare__Mirabelle_Otriple(tc_Com_Ostate)),c_Set_Oinsert(hAPP(hAPP(hAPP(c_Hoare__Mirabelle_Otriple_Otriple(tc_Com_Ostate),c_fequal(tc_Com_Ostate)),hAPP(c_Option_Othe(tc_Com_Ocom),hAPP(c_Com_Obody,X2))),hAPP(c_Natural_Oevalc,hAPP(c_Option_Othe(tc_Com_Ocom),hAPP(c_Com_Obody,X2)))),c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(tc_Com_Ostate),tc_bool)),tc_Hoare__Mirabelle_Otriple(tc_Com_Ostate)),tc_Com_Ostate))).
% 0.20/0.48 cnf(i_0_793, plain, (c_Fun_Ocomp(X1,c_Fun_Ocomp(X2,X3,X4,X5,X6),X5,X7,X6)=c_Fun_Ocomp(c_Fun_Ocomp(X1,X2,X5,X7,X4),X3,X4,X7,X6))).
% 0.20/0.48 cnf(i_0_850, plain, (c_Fun_Ofcomp(c_Fun_Ofcomp(X1,X2,X3,X4,X5),X6,X3,X5,X7)=c_Fun_Ofcomp(X1,c_Fun_Ofcomp(X2,X6,X4,X5,X7),X3,X4,X7))).
% 0.20/0.48 cnf(i_0_754, plain, (c_lessequals(X1,X2,tc_fun(X3,tc_bool))|~c_lessequals(c_COMBC(c_in(X3),X1,X3,tc_fun(X3,tc_bool),tc_bool),c_COMBC(c_in(X3),X2,X3,tc_fun(X3,tc_bool),tc_bool),tc_fun(X3,tc_bool)))).
% 0.20/0.48 cnf(i_0_862, plain, (hAPP(c_Lattices_Oupper__semilattice__class_Osup(c_COMBC(c_in(t_a),X1,t_a,tc_fun(t_a,tc_bool),tc_bool),c_COMBC(c_in(t_a),X2,t_a,tc_fun(t_a,tc_bool),tc_bool),tc_fun(t_a,tc_bool)),v_x)=hAPP(hAPP(c_in(t_a),v_x),c_Lattices_Oupper__semilattice__class_Osup(X1,X2,tc_fun(t_a,tc_bool))))).
% 0.20/0.48 cnf(i_0_953, negated_conjecture, (c_Hoare__Mirabelle_Ohoare__derivs(c_Lattices_Oupper__semilattice__class_Osup(v_G,c_Set_Oimage(c_COMBS(c_COMBB(hAPP(c_Hoare__Mirabelle_Otriple_Otriple(tc_Com_Ostate),c_fequal(tc_Com_Ostate)),c_Com_Ocom_OBODY,tc_Com_Ocom,tc_fun(tc_fun(tc_Com_Ostate,tc_fun(tc_Com_Ostate,tc_bool)),tc_Hoare__Mirabelle_Otriple(tc_Com_Ostate)),tc_Com_Opname),c_COMBB(c_Natural_Oevalc,c_Com_Ocom_OBODY,tc_Com_Ocom,tc_fun(tc_Com_Ostate,tc_fun(tc_Com_Ostate,tc_bool)),tc_Com_Opname),tc_Com_Opname,tc_fun(tc_Com_Ostate,tc_fun(tc_Com_Ostate,tc_bool)),tc_Hoare__Mirabelle_Otriple(tc_Com_Ostate)),v_Procs,tc_Com_Opname,tc_Hoare__Mirabelle_Otriple(tc_Com_Ostate)),tc_fun(tc_Hoare__Mirabelle_Otriple(tc_Com_Ostate),tc_bool)),c_Set_Oimage(c_COMBS(c_COMBB(hAPP(c_Hoare__Mirabelle_Otriple_Otriple(tc_Com_Ostate),c_fequal(tc_Com_Ostate)),c_COMBB(c_Option_Othe(tc_Com_Ocom),c_Com_Obody,tc_Option_Ooption(tc_Com_Ocom),tc_Com_Ocom,tc_Com_Opname),tc_Com_Ocom,tc_fun(tc_fun(tc_Com_Ostate,tc_fun(tc_Com_Ostate,tc_bool)),tc_Hoare__Mirabelle_Otriple(tc_Com_Ostate)),tc_Com_Opname),c_COMBB(c_Natural_Oevalc,c_COMBB(c_Option_Othe(tc_Com_Ocom),c_Com_Obody,tc_Option_Ooption(tc_Com_Ocom),tc_Com_Ocom,tc_Com_Opname),tc_Com_Ocom,tc_fun(tc_Com_Ostate,tc_fun(tc_Com_Ostate,tc_bool)),tc_Com_Opname),tc_Com_Opname,tc_fun(tc_Com_Ostate,tc_fun(tc_Com_Ostate,tc_bool)),tc_Hoare__Mirabelle_Otriple(tc_Com_Ostate)),v_Procs,tc_Com_Opname,tc_Hoare__Mirabelle_Otriple(tc_Com_Ostate)),tc_Com_Ostate))).
% 0.20/0.48 cnf(i_0_917, plain, (c_Hoare__Mirabelle_Ohoare__derivs(X1,c_Set_Oinsert(hAPP(hAPP(hAPP(c_Hoare__Mirabelle_Otriple_Otriple(X2),hAPP(X3,X4)),hAPP(c_Com_Ocom_OBODY,X4)),hAPP(X5,X4)),c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(X2),tc_bool)),tc_Hoare__Mirabelle_Otriple(X2)),X2)|~hBOOL(hAPP(hAPP(c_in(tc_Com_Opname),X4),X6))|~c_Hoare__Mirabelle_Ohoare__derivs(c_Lattices_Oupper__semilattice__class_Osup(X1,c_Set_Oimage(c_COMBS(c_COMBS(c_COMBB(c_Hoare__Mirabelle_Otriple_Otriple(X2),X3,tc_fun(X2,tc_fun(tc_Com_Ostate,tc_bool)),tc_fun(tc_Com_Ocom,tc_fun(tc_fun(X2,tc_fun(tc_Com_Ostate,tc_bool)),tc_Hoare__Mirabelle_Otriple(X2))),tc_Com_Opname),c_Com_Ocom_OBODY,tc_Com_Opname,tc_Com_Ocom,tc_fun(tc_fun(X2,tc_fun(tc_Com_Ostate,tc_bool)),tc_Hoare__Mirabelle_Otriple(X2))),X5,tc_Com_Opname,tc_fun(X2,tc_fun(tc_Com_Ostate,tc_bool)),tc_Hoare__Mirabelle_Otriple(X2)),X6,tc_Com_Opname,tc_Hoare__Mirabelle_Otriple(X2)),tc_fun(tc_Hoare__Mirabelle_Otriple(X2),tc_bool)),c_Set_Oimage(c_COMBS(c_COMBS(c_COMBB(c_Hoare__Mirabelle_Otriple_Otriple(X2),X3,tc_fun(X2,tc_fun(tc_Com_Ostate,tc_bool)),tc_fun(tc_Com_Ocom,tc_fun(tc_fun(X2,tc_fun(tc_Com_Ostate,tc_bool)),tc_Hoare__Mirabelle_Otriple(X2))),tc_Com_Opname),c_COMBB(c_Option_Othe(tc_Com_Ocom),c_Com_Obody,tc_Option_Ooption(tc_Com_Ocom),tc_Com_Ocom,tc_Com_Opname),tc_Com_Opname,tc_Com_Ocom,tc_fun(tc_fun(X2,tc_fun(tc_Com_Ostate,tc_bool)),tc_Hoare__Mirabelle_Otriple(X2))),X5,tc_Com_Opname,tc_fun(X2,tc_fun(tc_Com_Ostate,tc_bool)),tc_Hoare__Mirabelle_Otriple(X2)),X6,tc_Com_Opname,tc_Hoare__Mirabelle_Otriple(X2)),X2))).
% 0.20/0.48 cnf(i_0_922, plain, (c_Hoare__Mirabelle_Ohoare__derivs(X1,c_Set_Oimage(c_COMBS(c_COMBS(c_COMBB(c_Hoare__Mirabelle_Otriple_Otriple(X2),X3,tc_fun(X2,tc_fun(tc_Com_Ostate,tc_bool)),tc_fun(tc_Com_Ocom,tc_fun(tc_fun(X2,tc_fun(tc_Com_Ostate,tc_bool)),tc_Hoare__Mirabelle_Otriple(X2))),tc_Com_Opname),c_Com_Ocom_OBODY,tc_Com_Opname,tc_Com_Ocom,tc_fun(tc_fun(X2,tc_fun(tc_Com_Ostate,tc_bool)),tc_Hoare__Mirabelle_Otriple(X2))),X4,tc_Com_Opname,tc_fun(X2,tc_fun(tc_Com_Ostate,tc_bool)),tc_Hoare__Mirabelle_Otriple(X2)),X5,tc_Com_Opname,tc_Hoare__Mirabelle_Otriple(X2)),X2)|~c_Hoare__Mirabelle_Ohoare__derivs(c_Lattices_Oupper__semilattice__class_Osup(X1,c_Set_Oimage(c_COMBS(c_COMBS(c_COMBB(c_Hoare__Mirabelle_Otriple_Otriple(X2),X3,tc_fun(X2,tc_fun(tc_Com_Ostate,tc_bool)),tc_fun(tc_Com_Ocom,tc_fun(tc_fun(X2,tc_fun(tc_Com_Ostate,tc_bool)),tc_Hoare__Mirabelle_Otriple(X2))),tc_Com_Opname),c_Com_Ocom_OBODY,tc_Com_Opname,tc_Com_Ocom,tc_fun(tc_fun(X2,tc_fun(tc_Com_Ostate,tc_bool)),tc_Hoare__Mirabelle_Otriple(X2))),X4,tc_Com_Opname,tc_fun(X2,tc_fun(tc_Com_Ostate,tc_bool)),tc_Hoare__Mirabelle_Otriple(X2)),X5,tc_Com_Opname,tc_Hoare__Mirabelle_Otriple(X2)),tc_fun(tc_Hoare__Mirabelle_Otriple(X2),tc_bool)),c_Set_Oimage(c_COMBS(c_COMBS(c_COMBB(c_Hoare__Mirabelle_Otriple_Otriple(X2),X3,tc_fun(X2,tc_fun(tc_Com_Ostate,tc_bool)),tc_fun(tc_Com_Ocom,tc_fun(tc_fun(X2,tc_fun(tc_Com_Ostate,tc_bool)),tc_Hoare__Mirabelle_Otriple(X2))),tc_Com_Opname),c_COMBB(c_Option_Othe(tc_Com_Ocom),c_Com_Obody,tc_Option_Ooption(tc_Com_Ocom),tc_Com_Ocom,tc_Com_Opname),tc_Com_Opname,tc_Com_Ocom,tc_fun(tc_fun(X2,tc_fun(tc_Com_Ostate,tc_bool)),tc_Hoare__Mirabelle_Otriple(X2))),X4,tc_Com_Opname,tc_fun(X2,tc_fun(tc_Com_Ostate,tc_bool)),tc_Hoare__Mirabelle_Otriple(X2)),X5,tc_Com_Opname,tc_Hoare__Mirabelle_Otriple(X2)),X2))).
% 0.20/0.48 cnf(i_0_921, plain, (c_Hoare__Mirabelle_Ohoare__valids(X1,c_Set_Oimage(c_COMBS(c_COMBS(c_COMBB(c_Hoare__Mirabelle_Otriple_Otriple(X2),X3,tc_fun(X2,tc_fun(tc_Com_Ostate,tc_bool)),tc_fun(tc_Com_Ocom,tc_fun(tc_fun(X2,tc_fun(tc_Com_Ostate,tc_bool)),tc_Hoare__Mirabelle_Otriple(X2))),tc_Com_Opname),c_Com_Ocom_OBODY,tc_Com_Opname,tc_Com_Ocom,tc_fun(tc_fun(X2,tc_fun(tc_Com_Ostate,tc_bool)),tc_Hoare__Mirabelle_Otriple(X2))),X4,tc_Com_Opname,tc_fun(X2,tc_fun(tc_Com_Ostate,tc_bool)),tc_Hoare__Mirabelle_Otriple(X2)),X5,tc_Com_Opname,tc_Hoare__Mirabelle_Otriple(X2)),X2)|~c_Hoare__Mirabelle_Ohoare__valids(c_Lattices_Oupper__semilattice__class_Osup(X1,c_Set_Oimage(c_COMBS(c_COMBS(c_COMBB(c_Hoare__Mirabelle_Otriple_Otriple(X2),X3,tc_fun(X2,tc_fun(tc_Com_Ostate,tc_bool)),tc_fun(tc_Com_Ocom,tc_fun(tc_fun(X2,tc_fun(tc_Com_Ostate,tc_bool)),tc_Hoare__Mirabelle_Otriple(X2))),tc_Com_Opname),c_Com_Ocom_OBODY,tc_Com_Opname,tc_Com_Ocom,tc_fun(tc_fun(X2,tc_fun(tc_Com_Ostate,tc_bool)),tc_Hoare__Mirabelle_Otriple(X2))),X4,tc_Com_Opname,tc_fun(X2,tc_fun(tc_Com_Ostate,tc_bool)),tc_Hoare__Mirabelle_Otriple(X2)),X5,tc_Com_Opname,tc_Hoare__Mirabelle_Otriple(X2)),tc_fun(tc_Hoare__Mirabelle_Otriple(X2),tc_bool)),c_Set_Oimage(c_COMBS(c_COMBS(c_COMBB(c_Hoare__Mirabelle_Otriple_Otriple(X2),X3,tc_fun(X2,tc_fun(tc_Com_Ostate,tc_bool)),tc_fun(tc_Com_Ocom,tc_fun(tc_fun(X2,tc_fun(tc_Com_Ostate,tc_bool)),tc_Hoare__Mirabelle_Otriple(X2))),tc_Com_Opname),c_COMBB(c_Option_Othe(tc_Com_Ocom),c_Com_Obody,tc_Option_Ooption(tc_Com_Ocom),tc_Com_Ocom,tc_Com_Opname),tc_Com_Opname,tc_Com_Ocom,tc_fun(tc_fun(X2,tc_fun(tc_Com_Ostate,tc_bool)),tc_Hoare__Mirabelle_Otriple(X2))),X4,tc_Com_Opname,tc_fun(X2,tc_fun(tc_Com_Ostate,tc_bool)),tc_Hoare__Mirabelle_Otriple(X2)),X5,tc_Com_Opname,tc_Hoare__Mirabelle_Otriple(X2)),X2))).
% 0.20/0.48 cnf(i_0_637, plain, (c_Com_Ocom_Ocom__case(X1,X2,X3,X4,X5,X6,X7,X8,c_Com_Ocom_OSKIP,X9)=X1)).
% 0.20/0.48 cnf(i_0_570, plain, (c_Com_Ocom_Ocom__rec(X1,X2,X3,X4,X5,X6,X7,X8,c_Com_Ocom_OSKIP,X9)=X1)).
% 0.20/0.48 cnf(i_0_880, plain, (c_Com_Ocom_Ocom__case(X1,X2,X3,X4,X5,X6,X7,X8,hAPP(c_Com_Ocom_OBODY,X9),X10)=hAPP(X7,X9))).
% 0.20/0.48 cnf(i_0_868, plain, (c_Com_Ocom_Ocom__rec(X1,X2,X3,X4,X5,X6,X7,X8,hAPP(c_Com_Ocom_OBODY,X9),X10)=hAPP(X7,X9))).
% 0.20/0.48 cnf(i_0_661, plain, (c_Com_Ocom_Ocom__case(X1,X2,X3,X4,X5,X6,X7,X8,c_Com_Ocom_OSemi(X9,X10),X11)=hAPP(hAPP(X4,X9),X10))).
% 0.20/0.48 cnf(i_0_511, plain, (c_Com_Ocom_Ocom__case(X1,X2,X3,X4,X5,X6,X7,X8,c_Com_Ocom_OAss(X9,X10),X11)=hAPP(hAPP(X2,X9),X10))).
% 0.20/0.48 cnf(i_0_783, plain, (c_Com_Ocom_Ocom__case(X1,X2,X3,X4,X5,X6,X7,X8,c_Com_Ocom_OWhile(X9,X10),X11)=hAPP(hAPP(X6,X9),X10))).
% 0.20/0.48 cnf(i_0_685, plain, (c_Com_Ocom_Ocom__rec(X1,X2,X3,X4,X5,X6,X7,X8,c_Com_Ocom_OAss(X9,X10),X11)=hAPP(hAPP(X2,X9),X10))).
% 0.20/0.48 cnf(i_0_503, plain, (c_Com_Ocom_Ocom__case(X1,X2,X3,X4,X5,X6,X7,X8,c_Com_Ocom_OCall(X9,X10,X11),X12)=hAPP(hAPP(hAPP(X8,X9),X10),X11))).
% 0.20/0.48 cnf(i_0_831, plain, (c_Com_Ocom_Ocom__case(X1,X2,X3,X4,X5,X6,X7,X8,c_Com_Ocom_OCond(X9,X10,X11),X12)=hAPP(hAPP(hAPP(X5,X9),X10),X11))).
% 0.20/0.48 cnf(i_0_782, plain, (c_Com_Ocom_Ocom__case(X1,X2,X3,X4,X5,X6,X7,X8,c_Com_Ocom_OLocal(X9,X10,X11),X12)=hAPP(hAPP(hAPP(X3,X9),X10),X11))).
% 0.20/0.48 cnf(i_0_673, plain, (c_Com_Ocom_Ocom__rec(X1,X2,X3,X4,X5,X6,X7,X8,c_Com_Ocom_OCall(X9,X10,X11),X12)=hAPP(hAPP(hAPP(X8,X9),X10),X11))).
% 0.20/0.48 cnf(i_0_689, plain, (c_Com_Ocom_Ocom__rec(X1,X2,X3,X4,X5,X6,X7,X8,c_Com_Ocom_OWhile(X9,X10),X11)=hAPP(hAPP(hAPP(X6,X9),X10),c_Com_Ocom_Ocom__rec(X1,X2,X3,X4,X5,X6,X7,X8,X10,X11)))).
% 0.20/0.48 cnf(i_0_572, plain, (c_Com_Ocom_Ocom__rec(X1,X2,X3,X4,X5,X6,X7,X8,c_Com_Ocom_OLocal(X9,X10,X11),X12)=hAPP(hAPP(hAPP(hAPP(X3,X9),X10),X11),c_Com_Ocom_Ocom__rec(X1,X2,X3,X4,X5,X6,X7,X8,X11,X12)))).
% 0.20/0.48 cnf(i_0_576, plain, (hAPP(hAPP(hAPP(hAPP(X4,X9),X10),c_Com_Ocom_Ocom__rec(X1,X2,X3,X4,X5,X6,X7,X8,X9,X11)),c_Com_Ocom_Ocom__rec(X1,X2,X3,X4,X5,X6,X7,X8,X10,X11))=c_Com_Ocom_Ocom__rec(X1,X2,X3,X4,X5,X6,X7,X8,c_Com_Ocom_OSemi(X9,X10),X11))).
% 0.20/0.48 cnf(i_0_696, plain, (hAPP(hAPP(hAPP(hAPP(hAPP(X5,X9),X10),X11),c_Com_Ocom_Ocom__rec(X1,X2,X3,X4,X5,X6,X7,X8,X10,X12)),c_Com_Ocom_Ocom__rec(X1,X2,X3,X4,X5,X6,X7,X8,X11,X12))=c_Com_Ocom_Ocom__rec(X1,X2,X3,X4,X5,X6,X7,X8,c_Com_Ocom_OCond(X9,X10,X11),X12))).
% 0.20/0.48 # End listing active clauses. There is an equivalent clause to each of these in the clausification!
% 0.20/0.48 # Begin printing tableau
% 0.20/0.48 # Found 3 steps
% 0.20/0.48 cnf(i_0_954, negated_conjecture, (hBOOL(hAPP(hAPP(hAPP(c_Natural_Oevalc,hAPP(c_Option_Othe(tc_Com_Ocom),hAPP(c_Com_Obody,v_pn))),v_x),v_xa))), inference(start_rule)).
% 0.20/0.48 cnf(i_0_988, plain, (hBOOL(hAPP(hAPP(hAPP(c_Natural_Oevalc,hAPP(c_Option_Othe(tc_Com_Ocom),hAPP(c_Com_Obody,v_pn))),v_x),v_xa))), inference(extension_rule, [i_0_924])).
% 0.20/0.48 cnf(i_0_2317, plain, (hBOOL(hAPP(hAPP(hAPP(c_Natural_Oevalc,hAPP(c_Com_Ocom_OBODY,v_pn)),v_x),v_xa))), inference(closure_rule, [i_0_955])).
% 0.20/0.48 # End printing tableau
% 0.20/0.48 # SZS output end
% 0.20/0.48 # Branches closed with saturation will be marked with an "s"
% 0.20/0.48 # Returning from population with 28 new_tableaux and 0 remaining starting tableaux.
% 0.20/0.48 # We now have 28 tableaux to operate on
% 0.20/0.48 # Found closed tableau during pool population.
% 0.20/0.48 # Proof search is over...
% 0.20/0.48 # Freeing feature tree
%------------------------------------------------------------------------------