%------------------------------------------------------------------------------
% File     : Etableau---0.67
% Problem  : SWV854-1 : 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 18:23:43 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
% 0.03/0.13  % Problem  : SWV854-1 : TPTP v8.1.0. Released v4.1.0.
% 0.03/0.14  % 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 : Thu Jun 16 05:16:41 EDT 2022
% 0.13/0.35  % CPUTime  : 
% 0.20/0.47  # No SInE strategy applied
% 0.20/0.47  # Auto-Mode selected heuristic G_E___300_C18_F1_SE_CS_SP_PS_S0Y
% 0.20/0.47  # and selection function SelectMaxLComplexAvoidPosPred.
% 0.20/0.47  #
% 0.20/0.47  # Presaturation interreduction done
% 0.20/0.47  # Number of axioms: 757 Number of unprocessed: 578
% 0.20/0.47  # Tableaux proof search.
% 0.20/0.47  # APR header successfully linked.
% 0.20/0.47  # 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  # 578 beginning clauses after preprocessing and clausification
% 0.20/0.48  # Creating start rules for all 5 conjectures.
% 0.20/0.48  # There are 5 start rule candidates:
% 0.20/0.48  # Found 155 unit axioms.
% 0.20/0.48  # Unsuccessfully attempted saturation on 1 start tableaux, moving on.
% 0.20/0.48  # 5 start rule tableaux created.
% 0.20/0.48  # 423 extension rule candidate clauses
% 0.20/0.48  # 155 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 5
% 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/sandbox2/benchmark/theBenchmark.p
% 0.20/0.48  # SZS output start for /export/starexec/sandbox2/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_1519, plain, (class_Orderings_Olinorder(tc_nat))).
% 0.20/0.48  cnf(i_0_1521, plain, (class_Orderings_Obot(tc_nat))).
% 0.20/0.48  cnf(i_0_1524, plain, (class_Orderings_Obot(tc_bool))).
% 0.20/0.48  cnf(i_0_1506, plain, (class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(tc_nat))).
% 0.20/0.48  cnf(i_0_1514, plain, (class_OrderedGroup_Ocomm__monoid__add(tc_nat))).
% 0.20/0.48  cnf(i_0_1517, plain, (class_Divides_Osemiring__div(tc_nat))).
% 0.20/0.48  cnf(i_0_1507, plain, (class_OrderedGroup_Opordered__ab__semigroup__add(tc_nat))).
% 0.20/0.48  cnf(i_0_1508, plain, (class_OrderedGroup_Opordered__comm__monoid__add(tc_nat))).
% 0.20/0.48  cnf(i_0_1497, negated_conjecture, (hBOOL(c_in(v_x,v_Procs,tc_Com_Opname)))).
% 0.20/0.48  cnf(i_0_1518, plain, (class_Orderings_Opreorder(tc_nat))).
% 0.20/0.48  cnf(i_0_1522, plain, (class_Orderings_Opreorder(tc_bool))).
% 0.20/0.48  cnf(i_0_1520, plain, (class_Orderings_Oorder(tc_nat))).
% 0.20/0.48  cnf(i_0_1523, plain, (class_Orderings_Oorder(tc_bool))).
% 0.20/0.48  cnf(i_0_1512, plain, (class_Ring__and__Field_Ocomm__semiring__1(tc_nat))).
% 0.20/0.48  cnf(i_0_1513, plain, (class_OrderedGroup_Oab__semigroup__add(tc_nat))).
% 0.20/0.48  cnf(i_0_1018, plain, (c_Com_OWT(c_Com_Ocom_OSKIP))).
% 0.20/0.48  cnf(i_0_1509, plain, (class_OrderedGroup_Ocancel__ab__semigroup__add(tc_nat))).
% 0.20/0.48  cnf(i_0_1510, plain, (class_OrderedGroup_Ocancel__semigroup__add(tc_nat))).
% 0.20/0.48  cnf(i_0_1505, plain, (class_OrderedGroup_Opordered__cancel__ab__semigroup__add(tc_nat))).
% 0.20/0.48  cnf(i_0_1516, plain, (class_OrderedGroup_Omonoid__add(tc_nat))).
% 0.20/0.48  cnf(i_0_1511, plain, (class_Ring__and__Field_Oordered__semidom(tc_nat))).
% 0.20/0.48  cnf(i_0_1515, plain, (class_Ring__and__Field_Osemiring__1(tc_nat))).
% 0.20/0.48  cnf(i_0_1022, plain, (c_Com_OWT(c_Com_Ocom_OAss(X1,X2)))).
% 0.20/0.48  cnf(i_0_1410, plain, (c_Orderings_Oorder__class_Omono(c_Suc,tc_nat,tc_nat))).
% 0.20/0.48  cnf(i_0_1334, plain, (c_lessequals(X1,X1,tc_nat))).
% 0.20/0.48  cnf(i_0_1123, plain, (c_Natural_Oevalc(c_Com_Ocom_OSKIP,X1,X1))).
% 0.20/0.48  cnf(i_0_1525, plain, (c_fequal(X1,X1,X2))).
% 0.20/0.48  cnf(i_0_1055, plain, (c_lessequals(c_HOL_Ozero__class_Ozero(tc_nat),X1,tc_nat))).
% 0.20/0.48  cnf(i_0_1412, plain, (c_Fun_Oinj__on(c_Suc,X1,tc_nat,tc_nat))).
% 0.20/0.48  cnf(i_0_1150, plain, (c_Natural_Oevaln(c_Com_Ocom_OSKIP,X1,X2,X1))).
% 0.20/0.48  cnf(i_0_881, plain, (hAPP(c_COMBI(X1),X2)=X2)).
% 0.20/0.48  cnf(i_0_1254, plain, (hAPP(c_Fun_Oid(X1),X2)=X2)).
% 0.20/0.48  cnf(i_0_1400, plain, (c_HOL_Oord__class_Oless(X1,hAPP(c_Suc,X1),tc_nat))).
% 0.20/0.48  cnf(i_0_795, plain, (c_Fun_Oinj__on(c_COMBI(X1),X2,X1,X1))).
% 0.20/0.48  cnf(i_0_862, plain, (c_Fun_Oinj__on(c_Fun_Oid(X1),X2,X1,X1))).
% 0.20/0.48  cnf(i_0_1471, plain, (c_Option_Othe(c_Option_Ooption_OSome(X1,X2),X2)=X1)).
% 0.20/0.48  cnf(i_0_935, plain, (c_HOL_Ominus__class_Ominus(X1,X1,tc_nat)=c_HOL_Ozero__class_Ozero(tc_nat))).
% 0.20/0.48  cnf(i_0_1228, plain, (c_Orderings_Oord__class_Omax(X1,c_HOL_Ozero__class_Ozero(tc_nat),tc_nat)=X1)).
% 0.20/0.48  cnf(i_0_936, plain, (c_HOL_Ominus__class_Ominus(X1,c_HOL_Ozero__class_Ozero(tc_nat),tc_nat)=X1)).
% 0.20/0.48  cnf(i_0_1229, plain, (c_Orderings_Oord__class_Omax(c_HOL_Ozero__class_Ozero(tc_nat),X1,tc_nat)=X1)).
% 0.20/0.48  cnf(i_0_1027, plain, (c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),hAPP(c_Suc,X1),tc_nat))).
% 0.20/0.48  cnf(i_0_1040, plain, (c_lessequals(c_HOL_Ominus__class_Ominus(X1,X2,tc_nat),X1,tc_nat))).
% 0.20/0.48  cnf(i_0_1071, plain, (c_lessequals(c_Divides_Odiv__class_Omod(X1,X2,tc_nat),X1,tc_nat))).
% 0.20/0.48  cnf(i_0_1195, plain, (hBOOL(hAPP(c_Set_Oinsert(X1,X2,X3),X1)))).
% 0.20/0.48  cnf(i_0_948, plain, (c_Orderings_Oord__class_Omin(X1,c_HOL_Ozero__class_Ozero(tc_nat),tc_nat)=c_HOL_Ozero__class_Ozero(tc_nat))).
% 0.20/0.48  cnf(i_0_947, plain, (c_Orderings_Oord__class_Omin(c_HOL_Ozero__class_Ozero(tc_nat),X1,tc_nat)=c_HOL_Ozero__class_Ozero(tc_nat))).
% 0.20/0.48  cnf(i_0_1024, plain, (c_HOL_Ominus__class_Ominus(c_HOL_Ozero__class_Ozero(tc_nat),X1,tc_nat)=c_HOL_Ozero__class_Ozero(tc_nat))).
% 0.20/0.48  cnf(i_0_882, plain, (hAPP(c_COMBK(X1,X2,X3),X4)=X1)).
% 0.20/0.48  cnf(i_0_995, 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_951, plain, (c_Nat_Onat_Onat__case(X1,X2,c_HOL_Ozero__class_Ozero(tc_nat),X3)=X1)).
% 0.20/0.48  cnf(i_0_1175, plain, (c_Nat_Onat_Onat__rec(X1,X2,c_HOL_Ozero__class_Ozero(tc_nat),X3)=X1)).
% 0.20/0.48  cnf(i_0_1023, 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_1277, plain, (hBOOL(c_in(X1,c_Set_Oinsert(X1,X2,X3),X3)))).
% 0.20/0.48  cnf(i_0_1242, plain, (hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),X1),c_HOL_Ozero__class_Ozero(tc_nat))=X1)).
% 0.20/0.48  cnf(i_0_1243, plain, (hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),c_HOL_Ozero__class_Ozero(tc_nat)),X1)=X1)).
% 0.20/0.48  cnf(i_0_1117, plain, (c_lessequals(X1,hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),X2),X1),tc_nat))).
% 0.20/0.48  cnf(i_0_1116, plain, (c_lessequals(X1,hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),X1),X2),tc_nat))).
% 0.20/0.48  cnf(i_0_835, plain, (c_HOL_Oord__class_Oless(c_HOL_Ominus__class_Ominus(X1,X2,tc_nat),hAPP(c_Suc,X1),tc_nat))).
% 0.20/0.48  cnf(i_0_1317, plain, (c_Power_Opower_Opower(X1,X2,X3,c_HOL_Ozero__class_Ozero(tc_nat),X4)=X1)).
% 0.20/0.48  cnf(i_0_837, plain, (c_Fun_Ocomp(X1,c_Fun_Oid(X2),X2,X3,X2)=X1)).
% 0.20/0.48  cnf(i_0_1309, plain, (c_Fun_Ofcomp(X1,c_Fun_Oid(X2),X3,X2,X2)=X1)).
% 0.20/0.48  cnf(i_0_838, plain, (c_Fun_Ocomp(c_Fun_Oid(X1),X2,X1,X1,X3)=X2)).
% 0.20/0.48  cnf(i_0_1310, plain, (c_Fun_Ofcomp(c_Fun_Oid(X1),X2,X1,X1,X3)=X2)).
% 0.20/0.48  cnf(i_0_1099, plain, (c_Divides_Odiv__class_Omod(X1,hAPP(c_Suc,c_HOL_Ozero__class_Ozero(tc_nat)),tc_nat)=c_HOL_Ozero__class_Ozero(tc_nat))).
% 0.20/0.48  cnf(i_0_1479, plain, (c_Hoare__Mirabelle_Otriple__valid(c_HOL_Ozero__class_Ozero(tc_nat),c_Hoare__Mirabelle_Otriple_Otriple(X1,c_Com_Ocom_OBODY(X2),X3,X4),X4))).
% 0.20/0.48  cnf(i_0_1255, plain, (c_HOL_Ominus__class_Ominus(hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),X1),X2),X2,tc_nat)=X1)).
% 0.20/0.48  cnf(i_0_1256, plain, (c_HOL_Ominus__class_Ominus(hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),X1),X2),X1,tc_nat)=X2)).
% 0.20/0.48  cnf(i_0_777, plain, (c_HOL_Oord__class_Oless(X1,hAPP(c_Suc,hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),X2),X1)),tc_nat))).
% 0.20/0.48  cnf(i_0_776, plain, (c_HOL_Oord__class_Oless(X1,hAPP(c_Suc,hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),X1),X2)),tc_nat))).
% 0.20/0.48  cnf(i_0_1409, plain, (c_Nat_Onat_Onat__case(X1,X2,hAPP(c_Suc,X3),X4)=hAPP(X2,X3))).
% 0.20/0.48  cnf(i_0_1004, plain, (c_HOL_Ominus__class_Ominus(X1,hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),X1),X2),tc_nat)=c_HOL_Ozero__class_Ozero(tc_nat))).
% 0.20/0.48  cnf(i_0_902, 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_1408, plain, (c_HOL_Ominus__class_Ominus(hAPP(c_Suc,X1),hAPP(c_Suc,X2),tc_nat)=c_HOL_Ominus__class_Ominus(X1,X2,tc_nat))).
% 0.20/0.48  cnf(i_0_808, 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_986, 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_1475, plain, (c_in(v_x,c_Orderings_Obot__class_Obot(tc_fun(t_a,tc_bool)),t_a)=hAPP(c_Orderings_Obot__class_Obot(tc_fun(t_a,tc_bool)),v_x))).
% 0.20/0.48  cnf(i_0_1119, plain, (hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),X1),c_HOL_Ominus__class_Ominus(X2,X1,tc_nat))=c_Orderings_Oord__class_Omax(X2,X1,tc_nat))).
% 0.20/0.48  cnf(i_0_956, plain, (hAPP(c_Fun_Ocomp(X1,X2,X3,X4,X5),X6)=hAPP(X1,hAPP(X2,X6)))).
% 0.20/0.48  cnf(i_0_1183, plain, (hAPP(c_Fun_Ofcomp(X1,X2,X3,X4,X5),X6)=hAPP(X2,hAPP(X1,X6)))).
% 0.20/0.48  cnf(i_0_1418, plain, (c_Orderings_Oord__class_Omax(hAPP(c_Suc,X1),hAPP(c_Suc,X2),tc_nat)=hAPP(c_Suc,c_Orderings_Oord__class_Omax(X1,X2,tc_nat)))).
% 0.20/0.48  cnf(i_0_1429, plain, (c_Orderings_Oord__class_Omin(hAPP(c_Suc,X1),hAPP(c_Suc,X2),tc_nat)=hAPP(c_Suc,c_Orderings_Oord__class_Omin(X1,X2,tc_nat)))).
% 0.20/0.48  cnf(i_0_1291, plain, (c_Divides_Odiv__class_Omod(hAPP(c_Suc,c_Divides_Odiv__class_Omod(X1,X2,tc_nat)),X2,tc_nat)=c_Divides_Odiv__class_Omod(hAPP(c_Suc,X1),X2,tc_nat))).
% 0.20/0.48  cnf(i_0_1191, plain, (c_Hoare__Mirabelle_Ohoare__derivs(X1,c_Set_Oinsert(c_Hoare__Mirabelle_Otriple_Otriple(X2,c_Com_Ocom_OSKIP,X2,X3),c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(X3),tc_bool)),tc_Hoare__Mirabelle_Otriple(X3)),X3))).
% 0.20/0.48  cnf(i_0_1443, plain, (c_Com_Ocom_Ocom__rec(X1,X2,X3,X4,X5,X6,X7,X8,c_Com_Ocom_OBODY(X9),X10)=hAPP(X7,X9))).
% 0.20/0.48  cnf(i_0_1455, plain, (c_Com_Ocom_Ocom__case(X1,X2,X3,X4,X5,X6,X7,X8,c_Com_Ocom_OBODY(X9),X10)=hAPP(X7,X9))).
% 0.20/0.48  cnf(i_0_1417, plain, (hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),X1),hAPP(c_Suc,X2))=hAPP(c_Suc,hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),X1),X2)))).
% 0.20/0.48  cnf(i_0_1416, plain, (hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),hAPP(c_Suc,X1)),X2)=hAPP(c_Suc,hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),X1),X2)))).
% 0.20/0.48  cnf(i_0_1421, plain, (hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),hAPP(c_Suc,X1)),X2)=hAPP(c_Suc,hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),X1),X2)))).
% 0.20/0.48  cnf(i_0_1005, plain, (c_HOL_Ominus__class_Ominus(c_HOL_Ominus__class_Ominus(X1,X2,tc_nat),X3,tc_nat)=c_HOL_Ominus__class_Ominus(X1,hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),X2),X3),tc_nat))).
% 0.20/0.48  cnf(i_0_1413, plain, (hAPP(hAPP(X1,X2),c_Nat_Onat_Onat__rec(X3,X1,X2,X4))=c_Nat_Onat_Onat__rec(X3,X1,hAPP(c_Suc,X2),X4))).
% 0.20/0.48  cnf(i_0_1460, plain, (c_Hoare__Mirabelle_Otriple_Otriple__case(X1,c_Hoare__Mirabelle_Otriple_Otriple(X2,X3,X4,X5),X5,X6)=hAPP(hAPP(hAPP(X1,X2),X3),X4))).
% 0.20/0.48  cnf(i_0_1459, plain, (c_Hoare__Mirabelle_Otriple_Otriple__rec(X1,c_Hoare__Mirabelle_Otriple_Otriple(X2,X3,X4,X5),X5,X6)=hAPP(hAPP(hAPP(X1,X2),X3),X4))).
% 0.20/0.48  cnf(i_0_1344, plain, (c_Orderings_Oord__class_Omin(c_HOL_Ominus__class_Ominus(X1,X2,tc_nat),c_HOL_Ominus__class_Ominus(X3,X2,tc_nat),tc_nat)=c_HOL_Ominus__class_Ominus(c_Orderings_Oord__class_Omin(X1,X3,tc_nat),X2,tc_nat))).
% 0.20/0.48  cnf(i_0_1025, plain, (c_HOL_Ominus__class_Ominus(hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),X1),X2),hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),X3),X2),tc_nat)=c_HOL_Ominus__class_Ominus(X1,X3,tc_nat))).
% 0.20/0.48  cnf(i_0_1026, plain, (c_HOL_Ominus__class_Ominus(hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),X1),X2),hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),X1),X3),tc_nat)=c_HOL_Ominus__class_Ominus(X2,X3,tc_nat))).
% 0.20/0.48  cnf(i_0_1411, plain, (hAPP(hAPP(X1,X2),c_Power_Opower_Opower(X3,X1,X2,X4,X5))=c_Power_Opower_Opower(X3,X1,X2,hAPP(c_Suc,X4),X5))).
% 0.20/0.48  cnf(i_0_1234, 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_1181, 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_1213, 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_885, 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_1222, 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_1180, 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_1348, 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_850, plain, (hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),X1),X2)),X3)=hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),X1),hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),X2),X3)))).
% 0.20/0.48  cnf(i_0_869, 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_799, plain, (hAPP(hAPP(hAPP(hAPP(X1,X2),X3),c_Com_Ocom_Ocom__rec(X4,X5,X6,X1,X7,X8,X9,X10,X2,X11)),c_Com_Ocom_Ocom__rec(X4,X5,X6,X1,X7,X8,X9,X10,X3,X11))=c_Com_Ocom_Ocom__rec(X4,X5,X6,X1,X7,X8,X9,X10,c_Com_Ocom_OSemi(X2,X3),X11))).
% 0.20/0.48  cnf(i_0_1258, plain, (hAPP(hAPP(hAPP(hAPP(hAPP(X1,X2),X3),X4),c_Com_Ocom_Ocom__rec(X5,X6,X7,X8,X1,X9,X10,X11,X3,X12)),c_Com_Ocom_Ocom__rec(X5,X6,X7,X8,X1,X9,X10,X11,X4,X12))=c_Com_Ocom_Ocom__rec(X5,X6,X7,X8,X1,X9,X10,X11,c_Com_Ocom_OCond(X2,X3,X4),X12))).
% 0.20/0.48  cnf(i_0_917, plain, (hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),X1),X2)=hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),X2),X1))).
% 0.20/0.48  cnf(i_0_874, 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_849, plain, (hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),X1),hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),X2),X3))=hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),X2),hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),X1),X3)))).
% 0.20/0.48  cnf(i_0_1185, 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_1389, 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_1239, 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_806, 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_1190, plain, (~c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),c_HOL_Ozero__class_Ozero(tc_nat),tc_nat))).
% 0.20/0.48  cnf(i_0_1498, negated_conjecture, (~c_Hoare__Mirabelle_Otriple__valid(hAPP(c_Suc,v_na),c_Hoare__Mirabelle_Otriple_Otriple(hAPP(v_P,v_x),c_Com_Ocom_OBODY(v_x),hAPP(v_Q,v_x),t_a),t_a))).
% 0.20/0.48  cnf(i_0_1456, plain, (c_Com_Ocom_OBODY(X1)!=c_Com_Ocom_OSKIP)).
% 0.20/0.48  cnf(i_0_1484, plain, (hAPP(c_Suc,X1)!=X1)).
% 0.20/0.48  cnf(i_0_996, plain, (c_Com_Ocom_OWhile(X1,X2)!=c_Com_Ocom_OSKIP)).
% 0.20/0.48  cnf(i_0_1390, plain, (c_Com_Ocom_OSemi(X1,X2)!=c_Com_Ocom_OSKIP)).
% 0.20/0.48  cnf(i_0_1172, plain, (c_Com_Ocom_OAss(X1,X2)!=c_Com_Ocom_OSKIP)).
% 0.20/0.48  cnf(i_0_1107, plain, (~c_HOL_Oord__class_Oless(X1,X1,tc_nat))).
% 0.20/0.48  cnf(i_0_859, plain, (~c_HOL_Oord__class_Oless(X1,c_HOL_Ozero__class_Ozero(tc_nat),tc_nat))).
% 0.20/0.48  cnf(i_0_1292, plain, (~c_lessequals(hAPP(c_Suc,X1),X1,tc_nat))).
% 0.20/0.48  cnf(i_0_1414, plain, (c_HOL_Ozero__class_Ozero(tc_nat)!=hAPP(c_Suc,X1))).
% 0.20/0.48  cnf(i_0_1007, plain, (c_Option_Ooption_ONone(X1)!=c_Option_Ooption_OSome(X2,X1))).
% 0.20/0.48  cnf(i_0_1100, plain, (c_Com_Ocom_OLocal(X1,X2,X3)!=c_Com_Ocom_OSKIP)).
% 0.20/0.48  cnf(i_0_1038, plain, (c_Com_Ocom_OCond(X1,X2,X3)!=c_Com_Ocom_OSKIP)).
% 0.20/0.48  cnf(i_0_1306, plain, (c_Com_Ocom_OCall(X1,X2,X3)!=c_Com_Ocom_OSKIP)).
% 0.20/0.48  cnf(i_0_1449, plain, (c_Com_Ocom_OBODY(X1)!=c_Com_Ocom_OWhile(X2,X3))).
% 0.20/0.48  cnf(i_0_1451, plain, (c_Com_Ocom_OBODY(X1)!=c_Com_Ocom_OSemi(X2,X3))).
% 0.20/0.48  cnf(i_0_1446, plain, (c_Com_Ocom_OBODY(X1)!=c_Com_Ocom_OAss(X2,X3))).
% 0.20/0.48  cnf(i_0_1448, plain, (c_Com_Ocom_OBODY(X1)!=c_Com_Ocom_OLocal(X2,X3,X4))).
% 0.20/0.48  cnf(i_0_1444, plain, (c_Com_Ocom_OBODY(X1)!=c_Com_Ocom_OCond(X2,X3,X4))).
% 0.20/0.48  cnf(i_0_1097, plain, (~hBOOL(hAPP(c_Orderings_Obot__class_Obot(tc_fun(X1,tc_bool)),X2)))).
% 0.20/0.48  cnf(i_0_1454, plain, (c_Com_Ocom_OBODY(X1)!=c_Com_Ocom_OCall(X2,X3,X4))).
% 0.20/0.48  cnf(i_0_1312, plain, (c_Com_Ocom_OSemi(X1,X2)!=c_Com_Ocom_OWhile(X3,X4))).
% 0.20/0.48  cnf(i_0_1176, plain, (c_Com_Ocom_OAss(X1,X2)!=c_Com_Ocom_OWhile(X3,X4))).
% 0.20/0.48  cnf(i_0_1124, plain, (c_Com_Ocom_OAss(X1,X2)!=c_Com_Ocom_OSemi(X3,X4))).
% 0.20/0.48  cnf(i_0_1272, plain, (~hBOOL(c_in(X1,c_Orderings_Obot__class_Obot(tc_fun(X2,tc_bool)),X2)))).
% 0.20/0.48  cnf(i_0_1308, plain, (~c_HOL_Oord__class_Oless(hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),X1),X2),X2,tc_nat))).
% 0.20/0.48  cnf(i_0_1307, plain, (~c_HOL_Oord__class_Oless(hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),X1),X2),X1,tc_nat))).
% 0.20/0.48  cnf(i_0_774, plain, (c_Com_Ocom_OWhile(X1,X2)!=c_Com_Ocom_OLocal(X3,X4,X5))).
% 0.20/0.48  cnf(i_0_1231, plain, (c_Com_Ocom_OWhile(X1,X2)!=c_Com_Ocom_OCond(X3,X4,X5))).
% 0.20/0.48  cnf(i_0_1122, plain, (c_Com_Ocom_OWhile(X1,X2)!=c_Com_Ocom_OCall(X3,X4,X5))).
% 0.20/0.48  cnf(i_0_794, plain, (c_Com_Ocom_OSemi(X1,X2)!=c_Com_Ocom_OLocal(X3,X4,X5))).
% 0.20/0.48  cnf(i_0_792, plain, (c_Com_Ocom_OSemi(X1,X2)!=c_Com_Ocom_OCond(X3,X4,X5))).
% 0.20/0.48  cnf(i_0_1233, plain, (c_Com_Ocom_OSemi(X1,X2)!=c_Com_Ocom_OCall(X3,X4,X5))).
% 0.20/0.48  cnf(i_0_965, plain, (c_Com_Ocom_OAss(X1,X2)!=c_Com_Ocom_OLocal(X3,X4,X5))).
% 0.20/0.48  cnf(i_0_993, plain, (c_Com_Ocom_OAss(X1,X2)!=c_Com_Ocom_OCond(X3,X4,X5))).
% 0.20/0.48  cnf(i_0_1039, plain, (c_Com_Ocom_OAss(X1,X2)!=c_Com_Ocom_OCall(X3,X4,X5))).
% 0.20/0.48  cnf(i_0_793, plain, (c_Set_Oinsert(X1,X2,X3)!=c_Orderings_Obot__class_Obot(tc_fun(X3,tc_bool)))).
% 0.20/0.48  cnf(i_0_815, plain, (c_Com_Ocom_OCond(X1,X2,X3)!=c_Com_Ocom_OLocal(X4,X5,X6))).
% 0.20/0.48  cnf(i_0_1385, plain, (c_Com_Ocom_OCall(X1,X2,X3)!=c_Com_Ocom_OLocal(X4,X5,X6))).
% 0.20/0.48  cnf(i_0_817, plain, (c_Com_Ocom_OCall(X1,X2,X3)!=c_Com_Ocom_OCond(X4,X5,X6))).
% 0.20/0.48  cnf(i_0_1496, plain, (X1=X2|c_Com_Ocom_OBODY(X1)!=c_Com_Ocom_OBODY(X2))).
% 0.20/0.48  cnf(i_0_1499, negated_conjecture, (c_Hoare__Mirabelle_Otriple__valid(v_na,X1,t_a)|~hBOOL(c_in(X1,v_G,tc_Hoare__Mirabelle_Otriple(t_a))))).
% 0.20/0.48  cnf(i_0_1464, plain, (c_Com_Obody(X1)=c_Option_Ooption_ONone(tc_Com_Ocom)|c_Com_OWT(c_Com_Ocom_OBODY(X1)))).
% 0.20/0.48  cnf(i_0_1489, plain, (X1=X2|hAPP(c_Suc,X1)!=hAPP(c_Suc,X2))).
% 0.20/0.48  cnf(i_0_1492, plain, (hBOOL(c_in(X1,X2,X3))|~hBOOL(hAPP(X2,X1)))).
% 0.20/0.48  cnf(i_0_1493, plain, (hBOOL(hAPP(X1,X2))|~hBOOL(c_in(X2,X1,X3)))).
% 0.20/0.48  cnf(i_0_1393, plain, (c_lessequals(X1,X2,tc_nat)|c_lessequals(X2,X1,tc_nat))).
% 0.20/0.48  cnf(i_0_1491, plain, (c_Hoare__Mirabelle_Otriple__valid(X1,X2,X3)|~c_Hoare__Mirabelle_Otriple__valid(hAPP(c_Suc,X1),X2,X3))).
% 0.20/0.48  cnf(i_0_1286, plain, (c_Set_Oinsert(X1,X2,X3)=X2|~hBOOL(c_in(X1,X2,X3)))).
% 0.20/0.48  cnf(i_0_1262, plain, (X1=X2|~c_Natural_Oevalc(c_Com_Ocom_OSKIP,X2,X1))).
% 0.20/0.48  cnf(i_0_1504, plain, (class_Orderings_Obot(tc_fun(X1,X2))|~class_Orderings_Obot(X2))).
% 0.20/0.48  cnf(i_0_1502, plain, (class_Orderings_Opreorder(tc_fun(X1,X2))|~class_Orderings_Opreorder(X2))).
% 0.20/0.48  cnf(i_0_1503, plain, (class_Orderings_Oorder(tc_fun(X1,X2))|~class_Orderings_Oorder(X2))).
% 0.20/0.48  cnf(i_0_1220, plain, (c_Com_OWT(c_Com_Ocom_OWhile(X1,X2))|~c_Com_OWT(X2))).
% 0.20/0.48  cnf(i_0_1339, plain, (c_lessequals(X1,X1,X2)|~class_Orderings_Opreorder(X2))).
% 0.20/0.48  cnf(i_0_1337, plain, (c_lessequals(X1,X1,X2)|~class_Orderings_Oorder(X2))).
% 0.20/0.48  cnf(i_0_1146, plain, (c_lessequals(X1,X2,tc_nat)|~c_HOL_Oord__class_Oless(X1,X2,tc_nat))).
% 0.20/0.48  cnf(i_0_1184, plain, (X1=c_HOL_Ozero__class_Ozero(tc_nat)|c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),X1,tc_nat))).
% 0.20/0.48  cnf(i_0_1432, plain, (~c_HOL_Oord__class_Oless(X1,hAPP(c_Suc,X2),tc_nat)|~c_HOL_Oord__class_Oless(X2,X1,tc_nat))).
% 0.20/0.48  cnf(i_0_786, plain, (c_lessequals(c_Orderings_Obot__class_Obot(X1),X2,X1)|~class_Orderings_Obot(X1))).
% 0.20/0.48  cnf(i_0_1225, plain, (c_Com_OWT(c_Com_Ocom_OLocal(X1,X2,X3))|~c_Com_OWT(X3))).
% 0.20/0.48  cnf(i_0_775, plain, (hBOOL(hAPP(X1,X2))|c_Natural_Oevalc(c_Com_Ocom_OWhile(X1,X3),X2,X2))).
% 0.20/0.48  cnf(i_0_1425, plain, (~c_lessequals(hAPP(c_Suc,X1),X2,tc_nat)|~c_lessequals(X2,X1,tc_nat))).
% 0.20/0.48  cnf(i_0_1110, plain, (~c_HOL_Oord__class_Oless(X1,X1,X2)|~class_Orderings_Olinorder(X2))).
% 0.20/0.48  cnf(i_0_1111, plain, (~class_Orderings_Opreorder(X1)|~c_HOL_Oord__class_Oless(X2,X2,X1))).
% 0.20/0.48  cnf(i_0_1109, plain, (~class_Orderings_Oorder(X1)|~c_HOL_Oord__class_Oless(X2,X2,X1))).
% 0.20/0.48  cnf(i_0_1433, plain, (c_HOL_Oord__class_Oless(X1,hAPP(c_Suc,X2),tc_nat)|c_HOL_Oord__class_Oless(X2,X1,tc_nat))).
% 0.20/0.48  cnf(i_0_1426, plain, (c_lessequals(hAPP(c_Suc,X1),X2,tc_nat)|c_lessequals(X2,X1,tc_nat))).
% 0.20/0.48  cnf(i_0_1143, plain, (c_Orderings_Oord__class_Omax(X1,X1,X2)=X1|~class_Orderings_Olinorder(X2))).
% 0.20/0.48  cnf(i_0_1113, plain, (c_Orderings_Oord__class_Omin(X1,X1,X2)=X1|~class_Orderings_Olinorder(X2))).
% 0.20/0.48  cnf(i_0_1221, plain, (c_Com_OWT(X1)|~c_Com_OWT(c_Com_Ocom_OWhile(X2,X1)))).
% 0.20/0.48  cnf(i_0_1173, plain, (c_Com_OWT(X1)|~c_Com_OWT(c_Com_Ocom_OSemi(X2,X1)))).
% 0.20/0.48  cnf(i_0_1500, negated_conjecture, (c_Hoare__Mirabelle_Otriple__valid(v_na,c_Hoare__Mirabelle_Otriple_Otriple(hAPP(v_P,X1),c_Com_Ocom_OBODY(X1),hAPP(v_Q,X1),t_a),t_a)|~hBOOL(c_in(X1,v_Procs,tc_Com_Opname)))).
% 0.20/0.48  cnf(i_0_1501, negated_conjecture, (c_Hoare__Mirabelle_Otriple__valid(v_na,c_Hoare__Mirabelle_Otriple_Otriple(hAPP(v_P,X1),c_Option_Othe(c_Com_Obody(X1),tc_Com_Ocom),hAPP(v_Q,X1),t_a),t_a)|~hBOOL(c_in(X1,v_Procs,tc_Com_Opname)))).
% 0.20/0.48  cnf(i_0_1526, plain, (X1=X2|~c_fequal(X1,X2,X3))).
% 0.20/0.48  cnf(i_0_1174, plain, (c_Com_OWT(X1)|~c_Com_OWT(c_Com_Ocom_OSemi(X1,X2)))).
% 0.20/0.48  cnf(i_0_1128, plain, (X1=X2|c_HOL_Oord__class_Oless(X1,X2,tc_nat)|c_HOL_Oord__class_Oless(X2,X1,tc_nat))).
% 0.20/0.48  cnf(i_0_1063, plain, (hBOOL(hAPP(c_Set_Oinsert(X1,X2,X3),X4))|~hBOOL(hAPP(X2,X4)))).
% 0.20/0.48  cnf(i_0_1251, plain, (X1=X2|~c_Natural_Oevaln(c_Com_Ocom_OSKIP,X2,X3,X1))).
% 0.20/0.48  cnf(i_0_1303, 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_819, plain, (c_Natural_Oevaln(c_Com_Ocom_OWhile(X1,X2),X3,X4,X3)|hBOOL(hAPP(X1,X3)))).
% 0.20/0.48  cnf(i_0_931, plain, (c_HOL_Ominus__class_Ominus(X1,X1,X2)=c_HOL_Ozero__class_Ozero(X2)|~class_OrderedGroup_Ogroup__add(X2))).
% 0.20/0.48  cnf(i_0_930, plain, (c_HOL_Ominus__class_Ominus(X1,X1,X2)=c_HOL_Ozero__class_Ozero(X2)|~class_OrderedGroup_Oab__group__add(X2))).
% 0.20/0.48  cnf(i_0_914, plain, (c_Divides_Odiv__class_Omod(X1,X1,X2)=c_HOL_Ozero__class_Ozero(X2)|~class_Divides_Osemiring__div(X2))).
% 0.20/0.48  cnf(i_0_932, plain, (c_HOL_Ominus__class_Ominus(X1,c_HOL_Ozero__class_Ozero(X2),X2)=X1|~class_OrderedGroup_Ogroup__add(X2))).
% 0.20/0.48  cnf(i_0_891, plain, (~c_lessequals(X1,X2,X3)|~c_HOL_Oord__class_Oless(X2,X1,X3)|~class_Orderings_Olinorder(X3))).
% 0.20/0.48  cnf(i_0_1289, plain, (c_HOL_Oord__class_Oless(X1,hAPP(c_Suc,X2),tc_nat)|~c_HOL_Oord__class_Oless(X1,X2,tc_nat))).
% 0.20/0.48  cnf(i_0_1218, plain, (X1=X2|c_Com_Ocom_OWhile(X3,X1)!=c_Com_Ocom_OWhile(X4,X2))).
% 0.20/0.48  cnf(i_0_913, plain, (c_Divides_Odiv__class_Omod(X1,c_HOL_Ozero__class_Ozero(X2),X2)=X1|~class_Divides_Osemiring__div(X2))).
% 0.20/0.48  cnf(i_0_785, plain, (c_lessequals(X1,c_Orderings_Oord__class_Omax(X2,X1,X3),X3)|~class_Orderings_Olinorder(X3))).
% 0.20/0.48  cnf(i_0_784, plain, (c_lessequals(X1,c_Orderings_Oord__class_Omax(X1,X2,X3),X3)|~class_Orderings_Olinorder(X3))).
% 0.20/0.48  cnf(i_0_772, plain, (c_lessequals(c_Orderings_Oord__class_Omin(X1,X2,X3),X2,X3)|~class_Orderings_Olinorder(X3))).
% 0.20/0.48  cnf(i_0_773, plain, (c_lessequals(c_Orderings_Oord__class_Omin(X1,X2,X3),X1,X3)|~class_Orderings_Olinorder(X3))).
% 0.20/0.48  cnf(i_0_1029, plain, (c_Com_OWT(c_Com_Ocom_OCall(X1,X2,X3))|~c_Com_OWT(c_Com_Ocom_OBODY(X2)))).
% 0.20/0.48  cnf(i_0_893, plain, (~class_Orderings_Opreorder(X1)|~c_lessequals(X2,X3,X1)|~c_HOL_Oord__class_Oless(X3,X2,X1))).
% 0.20/0.48  cnf(i_0_798, 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_909, plain, (X1=X2|hBOOL(hAPP(X3,X1))|~hBOOL(hAPP(c_Set_Oinsert(X2,X3,X4),X1)))).
% 0.20/0.48  cnf(i_0_828, plain, (c_HOL_Oord__class_Oless(X1,hAPP(c_Suc,X2),tc_nat)|~c_lessequals(X1,X2,tc_nat))).
% 0.20/0.48  cnf(i_0_787, plain, (X1=X2|c_Com_Ocom_OSemi(X3,X1)!=c_Com_Ocom_OSemi(X4,X2))).
% 0.20/0.48  cnf(i_0_810, plain, (c_Divides_Odiv__class_Omod(c_HOL_Ozero__class_Ozero(X1),X2,X1)=c_HOL_Ozero__class_Ozero(X1)|~class_Divides_Osemiring__div(X1))).
% 0.20/0.48  cnf(i_0_890, plain, (c_lessequals(X1,X2,X3)|c_HOL_Oord__class_Oless(X2,X1,X3)|~class_Orderings_Olinorder(X3))).
% 0.20/0.48  cnf(i_0_1394, plain, (c_lessequals(X1,X2,X3)|c_lessequals(X2,X1,X3)|~class_Orderings_Olinorder(X3))).
% 0.20/0.48  cnf(i_0_1299, plain, (c_Nat_Osemiring__1__class_Oof__nat__aux(X1,c_HOL_Ozero__class_Ozero(tc_nat),X2,X3)=X2|~class_Ring__and__Field_Osemiring__1(X3))).
% 0.20/0.48  cnf(i_0_1226, plain, (c_Com_OWT(X1)|~c_Com_OWT(c_Com_Ocom_OLocal(X2,X3,X1)))).
% 0.20/0.48  cnf(i_0_1486, plain, (X1=X2|c_Hoare__Mirabelle_Otriple_Otriple(X3,X4,X1,X5)!=c_Hoare__Mirabelle_Otriple_Otriple(X6,X7,X2,X5))).
% 0.20/0.48  cnf(i_0_1487, plain, (X1=X2|c_Hoare__Mirabelle_Otriple_Otriple(X3,X1,X4,X5)!=c_Hoare__Mirabelle_Otriple_Otriple(X6,X2,X7,X5))).
% 0.20/0.48  cnf(i_0_1186, plain, (X1=X2|c_Com_Ocom_OAss(X3,X1)!=c_Com_Ocom_OAss(X4,X2))).
% 0.20/0.48  cnf(i_0_1387, plain, (c_Com_OWT(X1)|~c_Com_OWT(c_Com_Ocom_OCond(X2,X3,X1)))).
% 0.20/0.48  cnf(i_0_1388, plain, (c_Com_OWT(X1)|~c_Com_OWT(c_Com_Ocom_OCond(X2,X1,X3)))).
% 0.20/0.48  cnf(i_0_1246, plain, (hAPP(hAPP(c_HOL_Oplus__class_Oplus(X1),X2),c_HOL_Ozero__class_Ozero(X1))=X2|~class_OrderedGroup_Ocomm__monoid__add(X1))).
% 0.20/0.48  cnf(i_0_1488, plain, (X1=X2|c_Hoare__Mirabelle_Otriple_Otriple(X1,X3,X4,X5)!=c_Hoare__Mirabelle_Otriple_Otriple(X2,X6,X7,X5))).
% 0.20/0.48  cnf(i_0_1270, plain, (hBOOL(c_in(X1,c_Set_Oinsert(X2,X3,X4),X4))|~hBOOL(c_in(X1,X3,X4)))).
% 0.20/0.48  cnf(i_0_1293, plain, (c_lessequals(X1,hAPP(c_Suc,X2),tc_nat)|~c_lessequals(X1,X2,tc_nat))).
% 0.20/0.48  cnf(i_0_1217, plain, (X1=X2|c_Com_Ocom_OWhile(X1,X3)!=c_Com_Ocom_OWhile(X2,X4))).
% 0.20/0.48  cnf(i_0_1249, plain, (hAPP(hAPP(c_HOL_Oplus__class_Oplus(X1),X2),c_HOL_Ozero__class_Ozero(X1))=X2|~class_Ring__and__Field_Ocomm__semiring__1(X1))).
% 0.20/0.48  cnf(i_0_1248, plain, (hAPP(hAPP(c_HOL_Oplus__class_Oplus(X1),X2),c_HOL_Ozero__class_Ozero(X1))=X2|~class_OrderedGroup_Omonoid__add(X1))).
% 0.20/0.48  cnf(i_0_1241, plain, (hAPP(hAPP(c_HOL_Oplus__class_Oplus(X1),c_HOL_Ozero__class_Ozero(X1)),X2)=X2|~class_OrderedGroup_Ocomm__monoid__add(X1))).
% 0.20/0.48  cnf(i_0_1240, plain, (hAPP(hAPP(c_HOL_Oplus__class_Oplus(X1),c_HOL_Ozero__class_Ozero(X1)),X2)=X2|~class_Ring__and__Field_Ocomm__semiring__1(X1))).
% 0.20/0.48  cnf(i_0_1247, plain, (hAPP(hAPP(c_HOL_Oplus__class_Oplus(X1),c_HOL_Ozero__class_Ozero(X1)),X2)=X2|~class_OrderedGroup_Omonoid__add(X1))).
% 0.20/0.48  cnf(i_0_1219, plain, (c_Orderings_Oord__class_Omax(X1,X2,X3)=c_Orderings_Oord__class_Omax(X2,X1,X3)|~class_Orderings_Olinorder(X3))).
% 0.20/0.48  cnf(i_0_1037, plain, (c_Orderings_Oord__class_Omin(X1,X2,X3)=c_Orderings_Oord__class_Omin(X2,X1,X3)|~class_Orderings_Olinorder(X3))).
% 0.20/0.48  cnf(i_0_898, plain, (c_lessequals(hAPP(c_Suc,X1),X2,tc_nat)|~c_HOL_Oord__class_Oless(X1,X2,tc_nat))).
% 0.20/0.48  cnf(i_0_788, plain, (X1=X2|c_Com_Ocom_OSemi(X1,X3)!=c_Com_Ocom_OSemi(X2,X4))).
% 0.20/0.48  cnf(i_0_1230, plain, (c_Orderings_Oord__class_Omax(X1,c_Orderings_Oord__class_Omin(X1,X2,X3),X3)=X1|~class_Orderings_Olinorder(X3))).
% 0.20/0.48  cnf(i_0_1015, plain, (c_Orderings_Oord__class_Omin(X1,c_Orderings_Oord__class_Omax(X1,X2,X3),X3)=X1|~class_Orderings_Olinorder(X3))).
% 0.20/0.48  cnf(i_0_985, 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_1030, plain, (c_Com_OWT(c_Com_Ocom_OBODY(X1))|~c_Com_OWT(c_Com_Ocom_OCall(X2,X1,X3)))).
% 0.20/0.48  cnf(i_0_1495, plain, (c_Hoare__Mirabelle_Otriple__valid(X1,c_Hoare__Mirabelle_Otriple_Otriple(X2,c_Option_Othe(c_Com_Obody(X3),tc_Com_Ocom),X4,X5),X5)|~c_Hoare__Mirabelle_Otriple__valid(hAPP(c_Suc,X1),c_Hoare__Mirabelle_Otriple_Otriple(X2,c_Com_Ocom_OBODY(X3),X4,X5),X5))).
% 0.20/0.48  cnf(i_0_1187, plain, (X1=X2|c_Com_Ocom_OAss(X1,X3)!=c_Com_Ocom_OAss(X2,X4))).
% 0.20/0.48  cnf(i_0_1104, plain, (c_Divides_Odiv__class_Omod(X1,X2,tc_nat)=X1|~c_HOL_Oord__class_Oless(X1,X2,tc_nat))).
% 0.20/0.48  cnf(i_0_1114, plain, (X1=c_HOL_Ozero__class_Ozero(tc_nat)|~c_lessequals(X1,c_HOL_Ozero__class_Ozero(tc_nat),tc_nat))).
% 0.20/0.48  cnf(i_0_1267, plain, (c_Natural_Oevalc(X1,X2,X3)|~c_Natural_Oevaln(X1,X2,X4,X3))).
% 0.20/0.48  cnf(i_0_1494, plain, (c_Hoare__Mirabelle_Otriple__valid(hAPP(c_Suc,X1),c_Hoare__Mirabelle_Otriple_Otriple(X2,c_Com_Ocom_OBODY(X3),X4,X5),X5)|~c_Hoare__Mirabelle_Otriple__valid(X1,c_Hoare__Mirabelle_Otriple_Otriple(X2,c_Option_Othe(c_Com_Obody(X3),tc_Com_Ocom),X4,X5),X5))).
% 0.20/0.48  cnf(i_0_1469, plain, (c_Hoare__Mirabelle_Ohoare__valids(X1,X2,t_a)|c_Hoare__Mirabelle_Otriple__valid(v_sko__Hoare__Mirabelle__Xhoare__valids__def__2(X1,X2),X3,t_a)|~hBOOL(c_in(X3,X1,tc_Hoare__Mirabelle_Otriple(t_a))))).
% 0.20/0.48  cnf(i_0_829, plain, (c_lessequals(X1,X2,tc_nat)|~c_HOL_Oord__class_Oless(X1,hAPP(c_Suc,X2),tc_nat))).
% 0.20/0.48  cnf(i_0_954, plain, (X1=X2|c_Option_Ooption_OSome(X1,X3)!=c_Option_Ooption_OSome(X2,X3))).
% 0.20/0.48  cnf(i_0_1367, plain, (c_Orderings_Oord__class_Omax(X1,X2,tc_nat)=X1|c_HOL_Oord__class_Oless(X1,X2,tc_nat))).
% 0.20/0.48  cnf(i_0_831, plain, (hAPP(hAPP(c_HOL_Oplus__class_Oplus(X1),c_HOL_Ozero__class_Ozero(X1)),c_HOL_Ozero__class_Ozero(X1))=c_HOL_Ozero__class_Ozero(X1)|~class_OrderedGroup_Olordered__ab__group__add(X1))).
% 0.20/0.48  cnf(i_0_1126, plain, (X1=X2|c_HOL_Oord__class_Oless(X1,X2,X3)|c_HOL_Oord__class_Oless(X2,X1,X3)|~class_Orderings_Olinorder(X3))).
% 0.20/0.48  cnf(i_0_1276, plain, (X1=X2|hBOOL(c_in(X1,X3,X4))|~hBOOL(c_in(X1,c_Set_Oinsert(X2,X3,X4),X4)))).
% 0.20/0.48  cnf(i_0_1437, plain, (hAPP(c_Suc,c_Natural_Osko__Natural__Xevaln__elim__cases__6__1(X1,X2,X3,X4))=X2|~c_Natural_Oevaln(c_Com_Ocom_OBODY(X1),X3,X2,X4))).
% 0.20/0.48  cnf(i_0_1290, plain, (c_HOL_Oord__class_Oless(X1,X2,tc_nat)|~c_HOL_Oord__class_Oless(hAPP(c_Suc,X1),X2,tc_nat))).
% 0.20/0.48  cnf(i_0_934, plain, (c_HOL_Ominus__class_Ominus(X1,X1,X2)=c_HOL_Ozero__class_Ozero(X2)|~class_Int_Onumber__ring(X2)|~class_Ring__and__Field_Oidom(X2))).
% 0.20/0.48  cnf(i_0_1125, plain, (X1=X2|c_HOL_Oord__class_Oless(X1,X2,X3)|c_HOL_Oord__class_Oless(X2,X1,X3)|~class_Ring__and__Field_Oordered__idom(X3))).
% 0.20/0.48  cnf(i_0_1257, plain, (c_HOL_Ominus__class_Ominus(hAPP(hAPP(c_HOL_Oplus__class_Oplus(X1),X2),X3),X3,X1)=X2|~class_OrderedGroup_Ogroup__add(X1))).
% 0.20/0.48  cnf(i_0_820, plain, (hAPP(hAPP(c_HOL_Oplus__class_Oplus(X1),c_HOL_Ominus__class_Ominus(X2,X3,X1)),X3)=X2|~class_OrderedGroup_Ogroup__add(X1))).
% 0.20/0.48  cnf(i_0_768, plain, (c_HOL_Ominus__class_Ominus(X1,X2,tc_nat)=c_HOL_Ozero__class_Ozero(tc_nat)|~c_lessequals(X1,X2,tc_nat))).
% 0.20/0.48  cnf(i_0_1376, plain, (X1=X2|c_HOL_Oord__class_Oless(X1,X2,tc_nat)|~c_lessequals(X1,X2,tc_nat))).
% 0.20/0.48  cnf(i_0_844, plain, (c_Orderings_Oord__class_Omax(X1,X2,X3)=X2|~c_lessequals(X1,X2,X3)|~class_Orderings_Olinorder(X3))).
% 0.20/0.48  cnf(i_0_846, plain, (c_Orderings_Oord__class_Omax(X1,X2,X3)=X1|~c_lessequals(X2,X1,X3)|~class_Orderings_Olinorder(X3))).
% 0.20/0.48  cnf(i_0_899, plain, (c_HOL_Oord__class_Oless(X1,X2,tc_nat)|~c_lessequals(hAPP(c_Suc,X1),X2,tc_nat))).
% 0.20/0.48  cnf(i_0_1245, plain, (hAPP(hAPP(c_HOL_Oplus__class_Oplus(X1),X2),c_HOL_Ozero__class_Ozero(X1))=X2|~class_Int_Onumber__ring(X1)|~class_Ring__and__Field_Oidom(X1))).
% 0.20/0.48  cnf(i_0_1103, plain, (c_HOL_Oord__class_Oless(c_HOL_Ominus__class_Ominus(X1,X2,tc_nat),X3,tc_nat)|~c_HOL_Oord__class_Oless(X1,X3,tc_nat))).
% 0.20/0.48  cnf(i_0_1311, plain, (c_Divides_Odiv__class_Omod(c_HOL_Ominus__class_Ominus(X1,X2,tc_nat),X2,tc_nat)=c_Divides_Odiv__class_Omod(X1,X2,tc_nat)|c_HOL_Oord__class_Oless(X1,X2,tc_nat))).
% 0.20/0.48  cnf(i_0_877, plain, (c_Orderings_Oord__class_Omin(X1,X2,X3)=X2|~c_lessequals(X2,X1,X3)|~class_Orderings_Olinorder(X3))).
% 0.20/0.48  cnf(i_0_875, plain, (c_Orderings_Oord__class_Omin(X1,X2,X3)=X1|~c_lessequals(X1,X2,X3)|~class_Orderings_Olinorder(X3))).
% 0.20/0.48  cnf(i_0_926, plain, (X1=c_HOL_Ozero__class_Ozero(tc_nat)|hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),X2),X1)!=X2)).
% 0.20/0.48  cnf(i_0_1252, plain, (c_Orderings_Oord__class_Omax(X1,c_Orderings_Oord__class_Omax(X1,X2,X3),X3)=c_Orderings_Oord__class_Omax(X1,X2,X3)|~class_Orderings_Olinorder(X3))).
% 0.20/0.48  cnf(i_0_816, plain, (c_Orderings_Oord__class_Omin(X1,c_Orderings_Oord__class_Omin(X1,X2,X3),X3)=c_Orderings_Oord__class_Omin(X1,X2,X3)|~class_Orderings_Olinorder(X3))).
% 0.20/0.48  cnf(i_0_805, plain, (c_Divides_Odiv__class_Omod(c_Divides_Odiv__class_Omod(X1,X2,X3),X2,X3)=c_Divides_Odiv__class_Omod(X1,X2,X3)|~class_Divides_Osemiring__div(X3))).
% 0.20/0.48  cnf(i_0_1102, plain, (c_Power_Opower_Opower(c_HOL_Ozero__class_Ozero(X1),c_HOL_Oplus__class_Oplus(X1),c_HOL_Ozero__class_Ozero(X1),X2,X1)=c_HOL_Ozero__class_Ozero(X1)|~class_OrderedGroup_Ocomm__monoid__add(X1))).
% 0.20/0.48  cnf(i_0_1434, plain, (c_HOL_Oord__class_Oless(hAPP(c_Suc,X1),hAPP(c_Suc,X2),tc_nat)|~c_HOL_Oord__class_Oless(X1,X2,tc_nat))).
% 0.20/0.48  cnf(i_0_1287, plain, (c_lessequals(hAPP(c_Suc,X1),hAPP(c_Suc,X2),tc_nat)|~c_lessequals(X1,X2,tc_nat))).
% 0.20/0.48  cnf(i_0_1392, plain, (~c_HOL_Oord__class_Oless(X1,X2,X3)|~c_HOL_Oord__class_Oless(X2,X1,X3)|~class_Orderings_Olinorder(X3))).
% 0.20/0.48  cnf(i_0_845, plain, (c_lessequals(X1,X2,X3)|c_Orderings_Oord__class_Omax(X1,X2,X3)!=X2|~class_Orderings_Olinorder(X3))).
% 0.20/0.48  cnf(i_0_876, plain, (c_lessequals(X1,X2,X3)|c_Orderings_Oord__class_Omin(X1,X2,X3)!=X1|~class_Orderings_Olinorder(X3))).
% 0.20/0.48  cnf(i_0_1294, plain, (c_lessequals(X1,X2,tc_nat)|~c_lessequals(hAPP(c_Suc,X1),X2,tc_nat))).
% 0.20/0.48  cnf(i_0_1354, plain, (c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),c_HOL_Ominus__class_Ominus(X1,X2,tc_nat),tc_nat)|~c_HOL_Oord__class_Oless(X2,X1,tc_nat))).
% 0.20/0.48  cnf(i_0_1328, plain, (hBOOL(hAPP(X1,c_Divides_Odiv__class_Omod(X2,c_HOL_Ozero__class_Ozero(tc_nat),tc_nat)))|~hBOOL(hAPP(X1,X2)))).
% 0.20/0.48  cnf(i_0_1149, plain, (c_lessequals(X1,X2,X3)|~class_Orderings_Opreorder(X3)|~c_HOL_Oord__class_Oless(X1,X2,X3))).
% 0.20/0.48  cnf(i_0_1148, plain, (c_lessequals(X1,X2,X3)|~class_Orderings_Oorder(X3)|~c_HOL_Oord__class_Oless(X1,X2,X3))).
% 0.20/0.48  cnf(i_0_1395, plain, (~class_Orderings_Opreorder(X1)|~c_HOL_Oord__class_Oless(X2,X3,X1)|~c_HOL_Oord__class_Oless(X3,X2,X1))).
% 0.20/0.48  cnf(i_0_1391, plain, (~class_Orderings_Oorder(X1)|~c_HOL_Oord__class_Oless(X2,X3,X1)|~c_HOL_Oord__class_Oless(X3,X2,X1))).
% 0.20/0.48  cnf(i_0_1482, plain, (c_Natural_Oevalc(c_Option_Othe(c_Com_Obody(X1),tc_Com_Ocom),X2,X3)|~c_Natural_Oevalc(c_Com_Ocom_OBODY(X1),X2,X3))).
% 0.20/0.48  cnf(i_0_1481, plain, (c_Natural_Oevalc(c_Com_Ocom_OBODY(X1),X2,X3)|~c_Natural_Oevalc(c_Option_Othe(c_Com_Obody(X1),tc_Com_Ocom),X2,X3))).
% 0.20/0.48  cnf(i_0_1435, plain, (c_HOL_Oord__class_Oless(X1,X2,tc_nat)|~c_HOL_Oord__class_Oless(hAPP(c_Suc,X1),hAPP(c_Suc,X2),tc_nat))).
% 0.20/0.48  cnf(i_0_916, 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))).
% 0.20/0.48  cnf(i_0_915, 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))).
% 0.20/0.48  cnf(i_0_904, plain, (c_HOL_Oord__class_Oless(X1,hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),X2),X3),tc_nat)|~c_HOL_Oord__class_Oless(X1,X3,tc_nat))).
% 0.20/0.48  cnf(i_0_812, plain, (X1=c_HOL_Ozero__class_Ozero(tc_nat)|~c_HOL_Oord__class_Oless(X1,hAPP(c_Suc,c_HOL_Ozero__class_Ozero(tc_nat)),tc_nat))).
% 0.20/0.48  cnf(i_0_960, plain, (X1=c_HOL_Ozero__class_Ozero(tc_nat)|hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),X2),X1)!=c_HOL_Ozero__class_Ozero(tc_nat))).
% 0.20/0.48  cnf(i_0_1300, plain, (X1=X2|c_Com_Ocom_OLocal(X3,X4,X1)!=c_Com_Ocom_OLocal(X5,X6,X2))).
% 0.20/0.48  cnf(i_0_927, plain, (X1=X2|c_Com_Ocom_OCond(X3,X4,X1)!=c_Com_Ocom_OCond(X5,X6,X2))).
% 0.20/0.48  cnf(i_0_1288, plain, (c_lessequals(X1,X2,tc_nat)|~c_lessequals(hAPP(c_Suc,X1),hAPP(c_Suc,X2),tc_nat))).
% 0.20/0.48  cnf(i_0_903, plain, (c_HOL_Oord__class_Oless(X1,hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),X2),X3),tc_nat)|~c_HOL_Oord__class_Oless(X1,X2,tc_nat))).
% 0.20/0.48  cnf(i_0_863, plain, (c_lessequals(X1,hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),X2),X3),tc_nat)|~c_lessequals(X1,X3,tc_nat))).
% 0.20/0.48  cnf(i_0_864, plain, (c_lessequals(X1,hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),X2),X3),tc_nat)|~c_lessequals(X1,X2,tc_nat))).
% 0.20/0.48  cnf(i_0_1232, plain, (c_HOL_Ominus__class_Ominus(X1,c_HOL_Ominus__class_Ominus(X1,X2,tc_nat),tc_nat)=X2|~c_lessequals(X2,X1,tc_nat))).
% 0.20/0.48  cnf(i_0_959, plain, (X1=c_HOL_Ozero__class_Ozero(tc_nat)|hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),X1),X2)!=c_HOL_Ozero__class_Ozero(tc_nat))).
% 0.20/0.48  cnf(i_0_767, plain, (c_lessequals(X1,X2,tc_nat)|c_HOL_Ominus__class_Ominus(X1,X2,tc_nat)!=c_HOL_Ozero__class_Ozero(tc_nat))).
% 0.20/0.48  cnf(i_0_1349, plain, (X1=X2|~c_lessequals(X2,X1,tc_nat)|~c_HOL_Oord__class_Oless(X1,hAPP(c_Suc,X2),tc_nat))).
% 0.20/0.48  cnf(i_0_802, plain, (X1=X2|c_Com_Ocom_OCall(X3,X4,X1)!=c_Com_Ocom_OCall(X5,X6,X2))).
% 0.20/0.48  cnf(i_0_1301, plain, (X1=X2|c_Com_Ocom_OLocal(X3,X1,X4)!=c_Com_Ocom_OLocal(X5,X2,X6))).
% 0.20/0.48  cnf(i_0_1406, plain, (X1=X2|c_HOL_Oord__class_Oless(X2,X1,tc_nat)|~c_HOL_Oord__class_Oless(X2,hAPP(c_Suc,X1),tc_nat))).
% 0.20/0.48  cnf(i_0_961, plain, (X1=c_HOL_Ozero__class_Ozero(X2)|hAPP(hAPP(c_HOL_Oplus__class_Oplus(X2),X1),X1)!=c_HOL_Ozero__class_Ozero(X2)|~class_OrderedGroup_Olordered__ab__group__add(X2))).
% 0.20/0.48  cnf(i_0_884, plain, (c_HOL_Oord__class_Oless(c_Divides_Odiv__class_Omod(X1,X2,tc_nat),X2,tc_nat)|~c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),X2,tc_nat))).
% 0.20/0.48  cnf(i_0_920, plain, (c_lessequals(c_Divides_Odiv__class_Omod(X1,X2,tc_nat),X2,tc_nat)|~c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),X2,tc_nat))).
% 0.20/0.48  cnf(i_0_1404, plain, (c_Natural_Oevaln(X1,X2,hAPP(c_Suc,X3),X4)|~c_Natural_Oevaln(X1,X2,X3,X4))).
% 0.20/0.48  cnf(i_0_1192, plain, (c_Divides_Odiv__class_Omod(hAPP(hAPP(c_HOL_Oplus__class_Oplus(X1),X2),X3),X3,X1)=c_Divides_Odiv__class_Omod(X2,X3,X1)|~class_Divides_Osemiring__div(X1))).
% 0.20/0.48  cnf(i_0_1193, plain, (c_Divides_Odiv__class_Omod(hAPP(hAPP(c_HOL_Oplus__class_Oplus(X1),X2),X3),X2,X1)=c_Divides_Odiv__class_Omod(X3,X2,X1)|~class_Divides_Osemiring__div(X1))).
% 0.20/0.48  cnf(i_0_1001, plain, (c_lessequals(c_HOL_Ominus__class_Ominus(X1,X2,tc_nat),c_HOL_Ominus__class_Ominus(X3,X2,tc_nat),tc_nat)|~c_lessequals(X1,X3,tc_nat))).
% 0.20/0.48  cnf(i_0_1000, plain, (c_lessequals(c_HOL_Ominus__class_Ominus(X1,X2,tc_nat),c_HOL_Ominus__class_Ominus(X1,X3,tc_nat),tc_nat)|~c_lessequals(X3,X2,tc_nat))).
% 0.20/0.48  cnf(i_0_1044, plain, (X1=X2|c_HOL_Ominus__class_Ominus(X1,X2,X3)!=c_HOL_Ozero__class_Ozero(X3)|~class_OrderedGroup_Ogroup__add(X3))).
% 0.20/0.48  cnf(i_0_1045, plain, (X1=X2|c_HOL_Ominus__class_Ominus(X1,X2,X3)!=c_HOL_Ozero__class_Ozero(X3)|~class_OrderedGroup_Oab__group__add(X3))).
% 0.20/0.48  cnf(i_0_1043, plain, (X1=X2|c_HOL_Ominus__class_Ominus(X1,X2,X3)!=c_HOL_Ozero__class_Ozero(X3)|~class_Int_Onumber__ring(X3)|~class_Ring__and__Field_Oidom(X3))).
% 0.20/0.48  cnf(i_0_928, plain, (X1=X2|c_Com_Ocom_OCond(X3,X1,X4)!=c_Com_Ocom_OCond(X5,X2,X6))).
% 0.20/0.48  cnf(i_0_801, plain, (X1=X2|c_Com_Ocom_OCall(X3,X1,X4)!=c_Com_Ocom_OCall(X5,X2,X6))).
% 0.20/0.48  cnf(i_0_924, plain, (X1=c_HOL_Ozero__class_Ozero(X2)|hAPP(hAPP(c_HOL_Oplus__class_Oplus(X2),X3),X1)!=X3|~class_Int_Onumber__ring(X2)|~class_Ring__and__Field_Oidom(X2))).
% 0.20/0.48  cnf(i_0_1127, plain, (X1=X2|~c_lessequals(X2,X1,tc_nat)|~c_lessequals(X1,X2,tc_nat))).
% 0.20/0.48  cnf(i_0_1353, plain, (c_HOL_Oord__class_Oless(X1,X2,tc_nat)|~c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),c_HOL_Ominus__class_Ominus(X2,X1,tc_nat),tc_nat))).
% 0.20/0.48  cnf(i_0_1327, plain, (hBOOL(hAPP(X1,X2))|~hBOOL(hAPP(X1,c_Divides_Odiv__class_Omod(X2,c_HOL_Ozero__class_Ozero(tc_nat),tc_nat))))).
% 0.20/0.48  cnf(i_0_1302, plain, (X1=X2|c_Com_Ocom_OLocal(X1,X3,X4)!=c_Com_Ocom_OLocal(X2,X5,X6))).
% 0.20/0.48  cnf(i_0_929, plain, (X1=X2|c_Com_Ocom_OCond(X1,X3,X4)!=c_Com_Ocom_OCond(X2,X5,X6))).
% 0.20/0.48  cnf(i_0_973, plain, (X1=c_HOL_Ozero__class_Ozero(tc_nat)|X2=c_HOL_Ozero__class_Ozero(tc_nat)|hAPP(c_Suc,c_HOL_Ozero__class_Ozero(tc_nat))!=hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),X1),X2))).
% 0.20/0.48  cnf(i_0_1238, plain, (c_Orderings_Oord__class_Omax(X1,c_Orderings_Oord__class_Omax(X2,X3,X4),X4)=c_Orderings_Oord__class_Omax(X2,c_Orderings_Oord__class_Omax(X1,X3,X4),X4)|~class_Orderings_Olinorder(X4))).
% 0.20/0.48  cnf(i_0_997, plain, (c_Orderings_Oord__class_Omin(X1,c_Orderings_Oord__class_Omin(X2,X3,X4),X4)=c_Orderings_Oord__class_Omin(X2,c_Orderings_Oord__class_Omin(X1,X3,X4),X4)|~class_Orderings_Olinorder(X4))).
% 0.20/0.48  cnf(i_0_1237, plain, (c_Orderings_Oord__class_Omax(c_Orderings_Oord__class_Omax(X1,X2,X3),X4,X3)=c_Orderings_Oord__class_Omax(X1,c_Orderings_Oord__class_Omax(X2,X4,X3),X3)|~class_Orderings_Olinorder(X3))).
% 0.20/0.48  cnf(i_0_896, plain, (c_Orderings_Oord__class_Omin(c_Orderings_Oord__class_Omin(X1,X2,X3),X4,X3)=c_Orderings_Oord__class_Omin(X1,c_Orderings_Oord__class_Omin(X2,X4,X3),X3)|~class_Orderings_Olinorder(X3))).
% 0.20/0.48  cnf(i_0_1420, plain, (c_Nat_Osemiring__1__class_Oof__nat__aux(X1,hAPP(c_Suc,X2),X3,X4)=c_Nat_Osemiring__1__class_Oof__nat__aux(X1,X2,hAPP(X1,X3),X4)|~class_Ring__and__Field_Osemiring__1(X4))).
% 0.20/0.48  cnf(i_0_1424, plain, (hAPP(c_Suc,X1)=X2|c_HOL_Oord__class_Oless(hAPP(c_Suc,X1),X2,tc_nat)|~c_HOL_Oord__class_Oless(X1,X2,tc_nat))).
% 0.20/0.48  cnf(i_0_1170, plain, (c_Orderings_Oord__class_Omax(X1,X2,tc_nat)=X1|~c_lessequals(X2,X1,tc_nat))).
% 0.20/0.48  cnf(i_0_1168, plain, (hBOOL(hAPP(X1,X2))|c_Natural_Oevalc(c_Com_Ocom_OCond(X1,X3,X4),X2,X5)|~c_Natural_Oevalc(X4,X2,X5))).
% 0.20/0.48  cnf(i_0_1131, plain, (X1=X2|c_HOL_Ominus__class_Ominus(X2,X1,tc_nat)!=c_HOL_Ozero__class_Ozero(tc_nat)|c_HOL_Ominus__class_Ominus(X1,X2,tc_nat)!=c_HOL_Ozero__class_Ozero(tc_nat))).
% 0.20/0.48  cnf(i_0_1345, plain, (hBOOL(hAPP(X1,c_HOL_Ozero__class_Ozero(tc_nat)))|~hBOOL(hAPP(X1,c_HOL_Ominus__class_Ominus(X2,X3,tc_nat)))|~c_HOL_Oord__class_Oless(X2,X3,tc_nat))).
% 0.20/0.48  cnf(i_0_800, plain, (X1=X2|c_Com_Ocom_OCall(X1,X3,X4)!=c_Com_Ocom_OCall(X2,X5,X6))).
% 0.20/0.48  cnf(i_0_1483, plain, (c_Natural_Oevaln(c_Com_Ocom_OBODY(X1),X2,hAPP(c_Suc,X3),X4)|~c_Natural_Oevaln(c_Option_Othe(c_Com_Obody(X1),tc_Com_Ocom),X2,X3,X4))).
% 0.20/0.48  cnf(i_0_1478, plain, (c_Hoare__Mirabelle_Otriple__valid(X1,X2,t_a)|hBOOL(c_in(v_sko__Hoare__Mirabelle__Xtriples__valid__Suc__1(X1,X3),X3,tc_Hoare__Mirabelle_Otriple(t_a)))|~hBOOL(c_in(X2,X3,tc_Hoare__Mirabelle_Otriple(t_a))))).
% 0.20/0.48  cnf(i_0_1430, plain, (X1=hAPP(c_Suc,X2)|c_lessequals(X1,X2,tc_nat)|~c_lessequals(X1,hAPP(c_Suc,X2),tc_nat))).
% 0.20/0.48  cnf(i_0_1368, plain, (c_HOL_Oord__class_Oless(c_HOL_Ominus__class_Ominus(X1,hAPP(c_Suc,X2),tc_nat),X1,tc_nat)|~c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),X1,tc_nat))).
% 0.20/0.48  cnf(i_0_1383, plain, (X1=X2|c_HOL_Oord__class_Oless(X1,X2,X3)|~c_lessequals(X1,X2,X3)|~class_Orderings_Olinorder(X3))).
% 0.20/0.48  cnf(i_0_1374, plain, (X1=X2|c_HOL_Oord__class_Oless(X1,X2,X3)|~class_Orderings_Oorder(X3)|~c_lessequals(X1,X2,X3))).
% 0.20/0.48  cnf(i_0_905, plain, (c_HOL_Oord__class_Oless(X1,X2,tc_nat)|~c_HOL_Oord__class_Oless(hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),X1),X3),X2,tc_nat))).
% 0.20/0.48  cnf(i_0_865, plain, (c_lessequals(X1,X2,tc_nat)|~c_lessequals(hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),X3),X1),X2,tc_nat))).
% 0.20/0.48  cnf(i_0_866, plain, (c_lessequals(X1,X2,tc_nat)|~c_lessequals(hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),X1),X3),X2,tc_nat))).
% 0.20/0.48  cnf(i_0_1316, plain, (X1=X2|hBOOL(hAPP(X3,X1))|~c_Natural_Oevalc(c_Com_Ocom_OWhile(X3,X4),X1,X2))).
% 0.20/0.48  cnf(i_0_1480, plain, (c_Hoare__Mirabelle_Otriple__valid(X1,X2,t_a)|~c_Hoare__Mirabelle_Otriple__valid(hAPP(c_Suc,X1),v_sko__Hoare__Mirabelle__Xtriples__valid__Suc__1(X1,X3),t_a)|~hBOOL(c_in(X2,X3,tc_Hoare__Mirabelle_Otriple(t_a))))).
% 0.20/0.48  cnf(i_0_911, plain, (c_HOL_Ominus__class_Ominus(hAPP(c_Suc,X1),X2,tc_nat)=hAPP(c_Suc,c_HOL_Ominus__class_Ominus(X1,X2,tc_nat))|~c_lessequals(X2,X1,tc_nat))).
% 0.20/0.48  cnf(i_0_1016, plain, (X1=hAPP(c_Suc,c_HOL_Ozero__class_Ozero(tc_nat))|X1=c_HOL_Ozero__class_Ozero(tc_nat)|hAPP(c_Suc,c_HOL_Ozero__class_Ozero(tc_nat))!=hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),X2),X1))).
% 0.20/0.48  cnf(i_0_1032, plain, (c_HOL_Oord__class_Oless(X1,c_Orderings_Oord__class_Omax(X2,X3,X4),X4)|~c_HOL_Oord__class_Oless(X1,X3,X4)|~class_Orderings_Olinorder(X4))).
% 0.20/0.48  cnf(i_0_1031, plain, (c_HOL_Oord__class_Oless(X1,c_Orderings_Oord__class_Omax(X2,X3,X4),X4)|~c_HOL_Oord__class_Oless(X1,X2,X4)|~class_Orderings_Olinorder(X4))).
% 0.20/0.48  cnf(i_0_976, plain, (c_lessequals(X1,c_Orderings_Oord__class_Omax(X2,X3,X4),X4)|~c_lessequals(X1,X3,X4)|~class_Orderings_Olinorder(X4))).
% 0.20/0.48  cnf(i_0_1013, plain, (X1=X2|c_HOL_Ominus__class_Ominus(X1,X3,tc_nat)!=c_HOL_Ominus__class_Ominus(X2,X3,tc_nat)|~c_lessequals(X3,X2,tc_nat)|~c_lessequals(X3,X1,tc_nat))).
% 0.20/0.48  cnf(i_0_823, plain, (X1=X2|~hBOOL(c_in(X1,c_Set_Oinsert(X2,c_Orderings_Obot__class_Obot(tc_fun(X3,tc_bool)),X3),X3)))).
% 0.20/0.48  cnf(i_0_1352, plain, (X1=X2|hBOOL(hAPP(X3,X1))|~c_Natural_Oevaln(c_Com_Ocom_OWhile(X3,X4),X1,X5,X2))).
% 0.20/0.48  cnf(i_0_1079, plain, (hAPP(hAPP(X1,X2),X3)=X3|~c_Groebner__Basis_Ogb__semiring(X4,X1,X5,X6,X2,X7))).
% 0.20/0.48  cnf(i_0_1335, plain, (c_lessequals(X1,X2,tc_nat)|~c_lessequals(X3,X2,tc_nat)|~c_lessequals(X1,X3,tc_nat))).
% 0.20/0.48  cnf(i_0_1017, plain, (X1=hAPP(c_Suc,c_HOL_Ozero__class_Ozero(tc_nat))|X1=c_HOL_Ozero__class_Ozero(tc_nat)|hAPP(c_Suc,c_HOL_Ozero__class_Ozero(tc_nat))!=hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),X1),X2))).
% 0.20/0.48  cnf(i_0_977, plain, (c_lessequals(X1,c_Orderings_Oord__class_Omax(X2,X3,X4),X4)|~c_lessequals(X1,X2,X4)|~class_Orderings_Olinorder(X4))).
% 0.20/0.48  cnf(i_0_1047, plain, (c_HOL_Oord__class_Oless(c_Orderings_Oord__class_Omin(X1,X2,X3),X4,X3)|~c_HOL_Oord__class_Oless(X2,X4,X3)|~class_Orderings_Olinorder(X3))).
% 0.20/0.48  cnf(i_0_1046, plain, (c_HOL_Oord__class_Oless(c_Orderings_Oord__class_Omin(X1,X2,X3),X4,X3)|~c_HOL_Oord__class_Oless(X1,X4,X3)|~class_Orderings_Olinorder(X3))).
% 0.20/0.48  cnf(i_0_941, plain, (c_lessequals(c_Orderings_Oord__class_Omin(X1,X2,X3),X4,X3)|~c_lessequals(X2,X4,X3)|~class_Orderings_Olinorder(X3))).
% 0.20/0.48  cnf(i_0_1064, plain, (X1=X2|hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),X3),X1)!=hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),X3),X2))).
% 0.20/0.48  cnf(i_0_1065, plain, (X1=X2|hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),X1),X3)!=hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),X2),X3))).
% 0.20/0.48  cnf(i_0_1199, plain, (hAPP(hAPP(X1,X2),X3)=X3|~c_Groebner__Basis_Ogb__semiring(X4,X1,X5,X3,X6,X7))).
% 0.20/0.48  cnf(i_0_1209, plain, (c_Divides_Odiv__class_Omod(hAPP(c_Suc,X1),X2,tc_nat)=c_HOL_Ozero__class_Ozero(tc_nat)|hAPP(c_Suc,c_Divides_Odiv__class_Omod(X1,X2,tc_nat))!=X2)).
% 0.20/0.48  cnf(i_0_942, plain, (c_lessequals(c_Orderings_Oord__class_Omin(X1,X2,X3),X4,X3)|~c_lessequals(X1,X4,X3)|~class_Orderings_Olinorder(X3))).
% 0.20/0.48  cnf(i_0_1129, plain, (X1=X2|~c_Natural_Oevalc(X3,X4,X2)|~c_Natural_Oevalc(X3,X4,X1))).
% 0.20/0.48  cnf(i_0_963, plain, (c_Divides_Odiv__class_Omod(c_HOL_Ominus__class_Ominus(X1,X2,tc_nat),X2,tc_nat)=c_Divides_Odiv__class_Omod(X1,X2,tc_nat)|~c_lessequals(X2,X1,tc_nat))).
% 0.20/0.48  cnf(i_0_1073, plain, (c_lessequals(X1,c_HOL_Ominus__class_Ominus(hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),X2),X1),X3,tc_nat),tc_nat)|~c_lessequals(X3,X2,tc_nat))).
% 0.20/0.48  cnf(i_0_1049, plain, (c_HOL_Oord__class_Oless(X1,X2,X3)|~c_HOL_Oord__class_Oless(X1,c_Orderings_Oord__class_Omin(X4,X2,X3),X3)|~class_Orderings_Olinorder(X3))).
% 0.20/0.48  cnf(i_0_1048, plain, (c_HOL_Oord__class_Oless(X1,X2,X3)|~c_HOL_Oord__class_Oless(X1,c_Orderings_Oord__class_Omin(X2,X4,X3),X3)|~class_Orderings_Olinorder(X3))).
% 0.20/0.48  cnf(i_0_939, plain, (c_lessequals(X1,X2,X3)|~c_lessequals(X1,c_Orderings_Oord__class_Omin(X4,X2,X3),X3)|~class_Orderings_Olinorder(X3))).
% 0.20/0.48  cnf(i_0_1083, plain, (hAPP(hAPP(X1,X2),X3)=X3|~c_Groebner__Basis_Ogb__semiring(X1,X4,X5,X2,X6,X7))).
% 0.20/0.48  cnf(i_0_1106, plain, (c_lessequals(X1,X2,X3)|c_HOL_Oord__class_Oless(X2,X1,X3)|~class_Orderings_Opreorder(X3)|~c_lessequals(X2,X1,X3))).
% 0.20/0.48  cnf(i_0_1153, plain, (c_HOL_Oord__class_Oless(c_HOL_Ominus__class_Ominus(X1,X2,X3),c_HOL_Ozero__class_Ozero(X3),X3)|~class_OrderedGroup_Opordered__ab__group__add(X3)|~c_HOL_Oord__class_Oless(X1,X2,X3))).
% 0.20/0.48  cnf(i_0_1141, plain, (c_lessequals(c_HOL_Ominus__class_Ominus(X1,X2,X3),c_HOL_Ozero__class_Ozero(X3),X3)|~c_lessequals(X1,X2,X3)|~class_OrderedGroup_Opordered__ab__group__add(X3))).
% 0.20/0.48  cnf(i_0_1182, 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_1355, 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_1419, plain, (c_Divides_Odiv__class_Omod(hAPP(c_Suc,X1),X2,tc_nat)=hAPP(c_Suc,c_Divides_Odiv__class_Omod(X1,X2,tc_nat))|hAPP(c_Suc,c_Divides_Odiv__class_Omod(X1,X2,tc_nat))=X2)).
% 0.20/0.48  cnf(i_0_1269, plain, (c_Hoare__Mirabelle_Otriple__valid(X1,c_Hoare__Mirabelle_Otriple_Otriple(X2,X3,X4,t_a),t_a)|c_Natural_Oevaln(X3,v_sko__Hoare__Mirabelle__Xtriple__valid__def2__2(X2,X4,X3,X1),X1,v_sko__Hoare__Mirabelle__Xtriple__valid__def2__3(X2,X4,X3,X1)))).
% 0.20/0.48  cnf(i_0_940, plain, (c_lessequals(X1,X2,X3)|~c_lessequals(X1,c_Orderings_Oord__class_Omin(X2,X4,X3),X3)|~class_Orderings_Olinorder(X3))).
% 0.20/0.48  cnf(i_0_1197, plain, (hAPP(hAPP(X1,X2),X3)=X2|~c_Groebner__Basis_Ogb__semiring(X4,X1,X5,X6,X3,X7))).
% 0.20/0.48  cnf(i_0_1080, plain, (hAPP(hAPP(X1,X2),X3)=X2|~c_Groebner__Basis_Ogb__semiring(X4,X1,X5,X2,X6,X7))).
% 0.20/0.48  cnf(i_0_1399, plain, (c_HOL_Oord__class_Oless(hAPP(c_Suc,X1),X2,tc_nat)|~c_HOL_Oord__class_Oless(X3,X2,tc_nat)|~c_HOL_Oord__class_Oless(X1,X3,tc_nat))).
% 0.20/0.48  cnf(i_0_972, plain, (X1=hAPP(c_Suc,c_HOL_Ozero__class_Ozero(tc_nat))|X2=hAPP(c_Suc,c_HOL_Ozero__class_Ozero(tc_nat))|hAPP(c_Suc,c_HOL_Ozero__class_Ozero(tc_nat))!=hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),X1),X2))).
% 0.20/0.48  cnf(i_0_1357, plain, (hAPP(c_Suc,c_HOL_Ominus__class_Ominus(X1,hAPP(c_Suc,c_HOL_Ozero__class_Ozero(tc_nat)),tc_nat))=X1|~c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),X1,tc_nat))).
% 0.20/0.48  cnf(i_0_1203, plain, (hAPP(hAPP(X1,X2),X3)=X2|~c_Groebner__Basis_Ogb__semiring(X1,X4,X5,X3,X6,X7))).
% 0.20/0.48  cnf(i_0_818, 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_1463, plain, (c_Hoare__Mirabelle_Otriple__valid(X1,c_Hoare__Mirabelle_Otriple_Otriple(X2,X3,X4,t_a),t_a)|hBOOL(hAPP(hAPP(X2,v_sko__Hoare__Mirabelle__Xtriple__valid__def2__1(X2,X4,X3,X1)),v_sko__Hoare__Mirabelle__Xtriple__valid__def2__2(X2,X4,X3,X1))))).
% 0.20/0.48  cnf(i_0_1036, plain, (c_HOL_Oord__class_Oless(X1,X2,X3)|~c_HOL_Oord__class_Oless(c_Orderings_Oord__class_Omax(X4,X1,X3),X2,X3)|~class_Orderings_Olinorder(X3))).
% 0.20/0.48  cnf(i_0_1035, plain, (c_HOL_Oord__class_Oless(X1,X2,X3)|~c_HOL_Oord__class_Oless(c_Orderings_Oord__class_Omax(X1,X4,X3),X2,X3)|~class_Orderings_Olinorder(X3))).
% 0.20/0.48  cnf(i_0_974, plain, (c_lessequals(X1,X2,X3)|~c_lessequals(c_Orderings_Oord__class_Omax(X4,X1,X3),X2,X3)|~class_Orderings_Olinorder(X3))).
% 0.20/0.48  cnf(i_0_1019, plain, (c_Natural_Oevalc(c_Com_Ocom_OCond(X1,X2,X3),X4,X5)|~hBOOL(hAPP(X1,X4))|~c_Natural_Oevalc(X2,X4,X5))).
% 0.20/0.48  cnf(i_0_1167, plain, (hBOOL(hAPP(X1,X2))|c_Natural_Oevalc(X3,X2,X4)|~c_Natural_Oevalc(c_Com_Ocom_OCond(X1,X5,X3),X2,X4))).
% 0.20/0.48  cnf(i_0_1373, plain, (c_Orderings_Oord__class_Omin(c_Orderings_Oord__class_Omax(X1,X2,X3),c_Orderings_Oord__class_Omax(X1,X4,X3),X3)=c_Orderings_Oord__class_Omax(X1,c_Orderings_Oord__class_Omin(X2,X4,X3),X3)|~class_Orderings_Olinorder(X3))).
% 0.20/0.48  cnf(i_0_791, plain, (c_Orderings_Oord__class_Omax(c_Orderings_Oord__class_Omin(X1,X2,X3),c_Orderings_Oord__class_Omin(X1,X4,X3),X3)=c_Orderings_Oord__class_Omin(X1,c_Orderings_Oord__class_Omax(X2,X4,X3),X3)|~class_Orderings_Olinorder(X3))).
% 0.20/0.48  cnf(i_0_1372, plain, (c_Orderings_Oord__class_Omin(c_Orderings_Oord__class_Omax(X1,X2,X3),c_Orderings_Oord__class_Omax(X4,X2,X3),X3)=c_Orderings_Oord__class_Omax(c_Orderings_Oord__class_Omin(X1,X4,X3),X2,X3)|~class_Orderings_Olinorder(X3))).
% 0.20/0.48  cnf(i_0_790, plain, (c_Orderings_Oord__class_Omax(c_Orderings_Oord__class_Omin(X1,X2,X3),c_Orderings_Oord__class_Omin(X4,X2,X3),X3)=c_Orderings_Oord__class_Omin(c_Orderings_Oord__class_Omax(X1,X4,X3),X2,X3)|~class_Orderings_Olinorder(X3))).
% 0.20/0.48  cnf(i_0_878, plain, (c_Orderings_Oord__class_Omax(c_HOL_Ominus__class_Ominus(X1,X2,X3),c_HOL_Ominus__class_Ominus(X4,X2,X3),X3)=c_HOL_Ominus__class_Ominus(c_Orderings_Oord__class_Omax(X1,X4,X3),X2,X3)|~class_OrderedGroup_Opordered__ab__group__add(X3))).
% 0.20/0.48  cnf(i_0_766, plain, (c_Orderings_Oord__class_Omin(c_HOL_Ominus__class_Ominus(X1,X2,X3),c_HOL_Ominus__class_Ominus(X4,X2,X3),X3)=c_HOL_Ominus__class_Ominus(c_Orderings_Oord__class_Omin(X1,X4,X3),X2,X3)|~class_OrderedGroup_Opordered__ab__group__add(X3))).
% 0.20/0.48  cnf(i_0_873, plain, (c_Divides_Odiv__class_Omod(c_HOL_Ominus__class_Ominus(X1,c_Divides_Odiv__class_Omod(X2,X3,X4),X4),X3,X4)=c_Divides_Odiv__class_Omod(c_HOL_Ominus__class_Ominus(X1,X2,X4),X3,X4)|~class_Divides_Oring__div(X4))).
% 0.20/0.48  cnf(i_0_975, plain, (c_lessequals(X1,X2,X3)|~c_lessequals(c_Orderings_Oord__class_Omax(X1,X4,X3),X2,X3)|~class_Orderings_Olinorder(X3))).
% 0.20/0.48  cnf(i_0_1020, plain, (c_Natural_Oevalc(X1,X2,X3)|~hBOOL(hAPP(X4,X2))|~c_Natural_Oevalc(c_Com_Ocom_OCond(X4,X1,X5),X2,X3))).
% 0.20/0.48  cnf(i_0_1462, plain, (c_Hoare__Mirabelle_Otriple__valid(X1,c_Hoare__Mirabelle_Otriple_Otriple(X2,X3,X4,t_a),t_a)|~hBOOL(hAPP(hAPP(X4,v_sko__Hoare__Mirabelle__Xtriple__valid__def2__1(X2,X4,X3,X1)),v_sko__Hoare__Mirabelle__Xtriple__valid__def2__3(X2,X4,X3,X1))))).
% 0.20/0.48  cnf(i_0_1133, plain, (X1=X2|~class_Orderings_Oorder(X3)|~c_lessequals(X2,X1,X3)|~c_lessequals(X1,X2,X3))).
% 0.20/0.48  cnf(i_0_1068, 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))).
% 0.20/0.48  cnf(i_0_872, plain, (c_Divides_Odiv__class_Omod(c_HOL_Ominus__class_Ominus(c_Divides_Odiv__class_Omod(X1,X2,X3),X4,X3),X2,X3)=c_Divides_Odiv__class_Omod(c_HOL_Ominus__class_Ominus(X1,X4,X3),X2,X3)|~class_Divides_Oring__div(X3))).
% 0.20/0.48  cnf(i_0_1324, plain, (c_HOL_Oord__class_Oless(hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),X1),X2),hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),X3),X2),tc_nat)|~c_HOL_Oord__class_Oless(X1,X3,tc_nat))).
% 0.20/0.48  cnf(i_0_1326, plain, (c_HOL_Oord__class_Oless(hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),X1),X2),hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),X1),X3),tc_nat)|~c_HOL_Oord__class_Oless(X2,X3,tc_nat))).
% 0.20/0.48  cnf(i_0_1164, plain, (c_lessequals(hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),X1),X2),hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),X3),X2),tc_nat)|~c_lessequals(X1,X3,tc_nat))).
% 0.20/0.48  cnf(i_0_1166, plain, (c_lessequals(hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),X1),X2),hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),X1),X3),tc_nat)|~c_lessequals(X2,X3,tc_nat))).
% 0.20/0.48  cnf(i_0_1121, plain, (c_Natural_Oevaln(c_Com_Ocom_OCond(X1,X2,X3),X4,X5,X6)|hBOOL(hAPP(X1,X4))|~c_Natural_Oevaln(X3,X4,X5,X6))).
% 0.20/0.48  cnf(i_0_1059, plain, (c_lessequals(hAPP(X1,X2),hAPP(X1,hAPP(c_Suc,X2)),X3)|~c_Orderings_Oorder__class_Omono(X1,tc_nat,X3)|~class_Orderings_Oorder(X3))).
% 0.20/0.48  cnf(i_0_1386, plain, (c_Natural_Oevalc(X1,X2,X3)|c_Natural_Oevalc(X4,X2,X3)|~c_Natural_Oevalc(c_Com_Ocom_OCond(X5,X4,X1),X2,X3))).
% 0.20/0.48  cnf(i_0_1012, plain, (X1=X2|c_HOL_Ominus__class_Ominus(X3,X3,X4)!=c_HOL_Ominus__class_Ominus(X1,X2,X4)|~class_OrderedGroup_Oab__group__add(X4))).
% 0.20/0.48  cnf(i_0_1077, plain, (hAPP(hAPP(X1,X2),X3)=hAPP(hAPP(X1,X3),X2)|~c_Groebner__Basis_Ogb__semiring(X4,X1,X5,X6,X7,X8))).
% 0.20/0.48  cnf(i_0_1069, 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))).
% 0.20/0.48  cnf(i_0_1253, plain, (hAPP(hAPP(X1,X2),c_HOL_Ozero__class_Ozero(tc_nat))=X3|~c_Groebner__Basis_Ogb__semiring(X4,X5,X1,X6,X3,X7))).
% 0.20/0.48  cnf(i_0_1021, plain, (c_Natural_Oevalc(c_Com_Ocom_OSemi(X1,X2),X3,X4)|~c_Natural_Oevalc(X2,X5,X4)|~c_Natural_Oevalc(X1,X3,X5))).
% 0.20/0.48  cnf(i_0_1359, plain, (c_lessequals(c_Orderings_Oord__class_Omax(X1,c_Orderings_Oord__class_Omin(X2,X3,X4),X4),c_Orderings_Oord__class_Omin(c_Orderings_Oord__class_Omax(X1,X2,X4),c_Orderings_Oord__class_Omax(X1,X3,X4),X4),X4)|~class_Orderings_Olinorder(X4))).
% 0.20/0.48  cnf(i_0_1224, plain, (c_lessequals(c_Orderings_Oord__class_Omax(c_Orderings_Oord__class_Omin(X1,X2,X3),c_Orderings_Oord__class_Omin(X1,X4,X3),X3),c_Orderings_Oord__class_Omin(X1,c_Orderings_Oord__class_Omax(X2,X4,X3),X3),X3)|~class_Orderings_Olinorder(X3))).
% 0.20/0.48  cnf(i_0_982, plain, (c_lessequals(X1,hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),X2),X3),tc_nat)|~c_lessequals(c_HOL_Ominus__class_Ominus(X1,X3,tc_nat),X2,tc_nat))).
% 0.20/0.48  cnf(i_0_1196, plain, (c_HOL_Oord__class_Oless(X1,X2,tc_nat)|~c_lessequals(X3,X2,tc_nat)|~c_lessequals(X3,X1,tc_nat)|~c_HOL_Oord__class_Oless(c_HOL_Ominus__class_Ominus(X1,X3,tc_nat),c_HOL_Ominus__class_Ominus(X2,X3,tc_nat),tc_nat))).
% 0.20/0.48  cnf(i_0_1081, plain, (hAPP(hAPP(X1,X2),X3)=hAPP(hAPP(X1,X3),X2)|~c_Groebner__Basis_Ogb__semiring(X1,X4,X5,X6,X7,X8))).
% 0.20/0.48  cnf(i_0_1315, plain, (c_HOL_Oord__class_Oless(X1,c_HOL_Ominus__class_Ominus(X2,X3,tc_nat),tc_nat)|~c_HOL_Oord__class_Oless(hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),X1),X3),X2,tc_nat))).
% 0.20/0.48  cnf(i_0_1070, 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))).
% 0.20/0.48  cnf(i_0_1314, plain, (c_HOL_Oord__class_Oless(hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),X1),X2),X3,tc_nat)|~c_HOL_Oord__class_Oless(X1,c_HOL_Ominus__class_Ominus(X3,X2,tc_nat),tc_nat))).
% 0.20/0.48  cnf(i_0_1338, plain, (c_Natural_Oevaln(X1,X2,X3,X4)|~c_Natural_Oevaln(X1,X2,X5,X4)|~c_lessequals(X5,X3,tc_nat))).
% 0.20/0.48  cnf(i_0_1474, plain, (c_Natural_Oevaln(c_Option_Othe(c_Com_Obody(X1),tc_Com_Ocom),X2,c_Natural_Osko__Natural__Xevaln__elim__cases__6__1(X1,X3,X2,X4),X4)|~c_Natural_Oevaln(c_Com_Ocom_OBODY(X1),X2,X3,X4))).
% 0.20/0.48  cnf(i_0_1266, plain, (c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X1),hAPP(hAPP(c_HOL_Oplus__class_Oplus(X1),X2),X2),X1)|~class_OrderedGroup_Olordered__ab__group__add(X1)|~c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X1),X2,X1))).
% 0.20/0.48  cnf(i_0_814, plain, (c_lessequals(c_HOL_Ozero__class_Ozero(X1),hAPP(hAPP(c_HOL_Oplus__class_Oplus(X1),X2),X2),X1)|~class_OrderedGroup_Olordered__ab__group__add(X1)|~c_lessequals(c_HOL_Ozero__class_Ozero(X1),X2,X1))).
% 0.20/0.48  cnf(i_0_968, plain, (c_HOL_Oord__class_Oless(hAPP(hAPP(c_HOL_Oplus__class_Oplus(X1),X2),X2),c_HOL_Ozero__class_Ozero(X1),X1)|~class_OrderedGroup_Olordered__ab__group__add(X1)|~c_HOL_Oord__class_Oless(X2,c_HOL_Ozero__class_Ozero(X1),X1))).
% 0.20/0.48  cnf(i_0_971, plain, (c_HOL_Oord__class_Oless(hAPP(hAPP(c_HOL_Oplus__class_Oplus(X1),X2),X2),c_HOL_Ozero__class_Ozero(X1),X1)|~class_Ring__and__Field_Oordered__idom(X1)|~c_HOL_Oord__class_Oless(X2,c_HOL_Ozero__class_Ozero(X1),X1))).
% 0.20/0.48  cnf(i_0_1003, plain, (c_lessequals(X1,X2,tc_nat)|~c_lessequals(c_HOL_Ominus__class_Ominus(X1,X3,tc_nat),c_HOL_Ominus__class_Ominus(X2,X3,tc_nat),tc_nat)|~c_lessequals(X3,X2,tc_nat)|~c_lessequals(X3,X1,tc_nat))).
% 0.20/0.48  cnf(i_0_1152, plain, (c_HOL_Oord__class_Oless(X1,X2,X3)|~class_OrderedGroup_Opordered__ab__group__add(X3)|~c_HOL_Oord__class_Oless(c_HOL_Ominus__class_Ominus(X1,X2,X3),c_HOL_Ozero__class_Ozero(X3),X3))).
% 0.20/0.48  cnf(i_0_1140, plain, (c_lessequals(X1,X2,X3)|~c_lessequals(c_HOL_Ominus__class_Ominus(X1,X2,X3),c_HOL_Ozero__class_Ozero(X3),X3)|~class_OrderedGroup_Opordered__ab__group__add(X3))).
% 0.20/0.48  cnf(i_0_870, plain, (c_Natural_Oevaln(c_Com_Ocom_OCond(X1,X2,X3),X4,X5,X6)|~c_Natural_Oevaln(X2,X4,X5,X6)|~hBOOL(hAPP(X1,X4)))).
% 0.20/0.48  cnf(i_0_1120, plain, (c_Natural_Oevaln(X1,X2,X3,X4)|hBOOL(hAPP(X5,X2))|~c_Natural_Oevaln(c_Com_Ocom_OCond(X5,X6,X1),X2,X3,X4))).
% 0.20/0.48  cnf(i_0_983, plain, (c_lessequals(c_HOL_Ominus__class_Ominus(X1,X2,tc_nat),X3,tc_nat)|~c_lessequals(X1,hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),X3),X2),tc_nat))).
% 0.20/0.48  cnf(i_0_1067, 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))).
% 0.20/0.48  cnf(i_0_1304, plain, (c_lessequals(hAPP(hAPP(c_HOL_Oplus__class_Oplus(X1),X2),X2),c_HOL_Ozero__class_Ozero(X1),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_841, plain, (c_HOL_Oord__class_Oless(X1,X2,X3)|~class_Orderings_Opreorder(X3)|~c_HOL_Oord__class_Oless(X4,X2,X3)|~c_HOL_Oord__class_Oless(X1,X4,X3))).
% 0.20/0.48  cnf(i_0_1340, plain, (c_HOL_Oord__class_Oless(X1,X2,X3)|~class_Orderings_Opreorder(X3)|~c_lessequals(X1,X4,X3)|~c_HOL_Oord__class_Oless(X4,X2,X3))).
% 0.20/0.48  cnf(i_0_1341, plain, (c_HOL_Oord__class_Oless(X1,X2,X3)|~class_Orderings_Opreorder(X3)|~c_lessequals(X4,X2,X3)|~c_HOL_Oord__class_Oless(X1,X4,X3))).
% 0.20/0.48  cnf(i_0_842, plain, (c_HOL_Oord__class_Oless(X1,X2,X3)|~class_Orderings_Oorder(X3)|~c_HOL_Oord__class_Oless(X4,X2,X3)|~c_HOL_Oord__class_Oless(X1,X4,X3))).
% 0.20/0.48  cnf(i_0_1330, plain, (c_HOL_Oord__class_Oless(X1,X2,X3)|~class_Orderings_Oorder(X3)|~c_lessequals(X1,X4,X3)|~c_HOL_Oord__class_Oless(X4,X2,X3))).
% 0.20/0.48  cnf(i_0_1331, plain, (c_HOL_Oord__class_Oless(X1,X2,X3)|~class_Orderings_Oorder(X3)|~c_lessequals(X4,X2,X3)|~c_HOL_Oord__class_Oless(X1,X4,X3))).
% 0.20/0.48  cnf(i_0_1333, plain, (c_lessequals(X1,X2,X3)|~class_Orderings_Opreorder(X3)|~c_lessequals(X4,X2,X3)|~c_lessequals(X1,X4,X3))).
% 0.20/0.48  cnf(i_0_1041, 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))).
% 0.20/0.48  cnf(i_0_1325, plain, (c_HOL_Oord__class_Oless(X1,X2,tc_nat)|~c_HOL_Oord__class_Oless(hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),X3),X1),hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),X3),X2),tc_nat))).
% 0.20/0.48  cnf(i_0_1165, plain, (c_lessequals(X1,X2,tc_nat)|~c_lessequals(hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),X3),X1),hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),X3),X2),tc_nat))).
% 0.20/0.48  cnf(i_0_871, plain, (c_Natural_Oevaln(X1,X2,X3,X4)|~c_Natural_Oevaln(c_Com_Ocom_OCond(X5,X1,X6),X2,X3,X4)|~hBOOL(hAPP(X5,X2)))).
% 0.20/0.48  cnf(i_0_1295, plain, (hAPP(hAPP(X1,X2),hAPP(hAPP(X3,X2),X4))=hAPP(hAPP(X3,X2),hAPP(c_Suc,X4))|~c_Groebner__Basis_Ogb__semiring(X5,X1,X3,X6,X7,X8))).
% 0.20/0.48  cnf(i_0_1358, plain, (c_HOL_Oord__class_Oless(c_HOL_Ominus__class_Ominus(X1,X2,tc_nat),X1,tc_nat)|~c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),X2,tc_nat)|~c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),X1,tc_nat))).
% 0.20/0.48  cnf(i_0_833, plain, (hAPP(hAPP(c_HOL_Oplus__class_Oplus(X1),c_HOL_Ozero__class_Ozero(X1)),c_HOL_Ozero__class_Ozero(X1))=c_HOL_Ozero__class_Ozero(X1)|~class_OrderedGroup_Opordered__comm__monoid__add(X1)|~c_lessequals(c_HOL_Ozero__class_Ozero(X1),c_HOL_Ozero__class_Ozero(X1),X1))).
% 0.20/0.48  cnf(i_0_1329, plain, (c_lessequals(X1,X2,X3)|~class_Orderings_Oorder(X3)|~c_lessequals(X4,X2,X3)|~c_lessequals(X1,X4,X3))).
% 0.20/0.48  cnf(i_0_1074, plain, (c_Divides_Odiv__class_Omod(c_HOL_Ominus__class_Ominus(c_Divides_Odiv__class_Omod(X1,X2,X3),c_Divides_Odiv__class_Omod(X4,X2,X3),X3),X2,X3)=c_Divides_Odiv__class_Omod(c_HOL_Ominus__class_Ominus(X1,X4,X3),X2,X3)|~class_Divides_Oring__div(X3))).
% 0.20/0.48  cnf(i_0_1098, plain, (c_HOL_Ominus__class_Ominus(X1,c_HOL_Ominus__class_Ominus(X2,X3,tc_nat),tc_nat)=c_HOL_Ominus__class_Ominus(hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),X1),X3),X2,tc_nat)|~c_lessequals(X3,X2,tc_nat))).
% 0.20/0.48  cnf(i_0_895, plain, (c_Divides_Odiv__class_Omod(hAPP(hAPP(c_HOL_Oplus__class_Oplus(X1),X2),c_Divides_Odiv__class_Omod(X3,X4,X1)),X4,X1)=c_Divides_Odiv__class_Omod(hAPP(hAPP(c_HOL_Oplus__class_Oplus(X1),X2),X3),X4,X1)|~class_Divides_Osemiring__div(X1))).
% 0.20/0.48  cnf(i_0_894, plain, (c_Divides_Odiv__class_Omod(hAPP(hAPP(c_HOL_Oplus__class_Oplus(X1),c_Divides_Odiv__class_Omod(X2,X3,X1)),X4),X3,X1)=c_Divides_Odiv__class_Omod(hAPP(hAPP(c_HOL_Oplus__class_Oplus(X1),X2),X4),X3,X1)|~class_Divides_Osemiring__div(X1))).
% 0.20/0.48  cnf(i_0_1319, plain, (c_HOL_Oord__class_Oless(hAPP(hAPP(c_HOL_Oplus__class_Oplus(X1),X2),X3),hAPP(hAPP(c_HOL_Oplus__class_Oplus(X1),X4),X3),X1)|~class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(X1)|~c_HOL_Oord__class_Oless(X2,X4,X1))).
% 0.20/0.48  cnf(i_0_779, plain, (c_lessequals(hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),X1),X2),X3,tc_nat)|~c_lessequals(X1,c_HOL_Ominus__class_Ominus(X3,X2,tc_nat),tc_nat)|~c_lessequals(X2,X3,tc_nat))).
% 0.20/0.48  cnf(i_0_1362, plain, (c_HOL_Oord__class_Oless(X1,X2,X3)|c_HOL_Ominus__class_Ominus(X4,X5,X3)!=c_HOL_Ominus__class_Ominus(X1,X2,X3)|~class_OrderedGroup_Opordered__ab__group__add(X3)|~c_HOL_Oord__class_Oless(X4,X5,X3))).
% 0.20/0.48  cnf(i_0_1177, plain, (c_HOL_Ominus__class_Ominus(hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),X1),X2),X3,tc_nat)=hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),X1),c_HOL_Ominus__class_Ominus(X2,X3,tc_nat))|~c_lessequals(X3,X2,tc_nat))).
% 0.20/0.48  cnf(i_0_918, plain, (c_HOL_Oord__class_Oless(X1,X2,tc_nat)|hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),X1),X3)!=hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),X4),X2)|~c_HOL_Oord__class_Oless(X4,X3,tc_nat))).
% 0.20/0.48  cnf(i_0_1318, plain, (c_HOL_Oord__class_Oless(hAPP(hAPP(c_HOL_Oplus__class_Oplus(X1),X2),X3),hAPP(hAPP(c_HOL_Oplus__class_Oplus(X1),X4),X3),X1)|~class_OrderedGroup_Opordered__cancel__ab__semigroup__add(X1)|~c_HOL_Oord__class_Oless(X2,X4,X1))).
% 0.20/0.48  cnf(i_0_1322, plain, (c_HOL_Oord__class_Oless(hAPP(hAPP(c_HOL_Oplus__class_Oplus(X1),X2),X3),hAPP(hAPP(c_HOL_Oplus__class_Oplus(X1),X2),X4),X1)|~class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(X1)|~c_HOL_Oord__class_Oless(X3,X4,X1))).
% 0.20/0.48  cnf(i_0_1321, plain, (c_HOL_Oord__class_Oless(hAPP(hAPP(c_HOL_Oplus__class_Oplus(X1),X2),X3),hAPP(hAPP(c_HOL_Oplus__class_Oplus(X1),X2),X4),X1)|~class_OrderedGroup_Opordered__cancel__ab__semigroup__add(X1)|~c_HOL_Oord__class_Oless(X3,X4,X1))).
% 0.20/0.48  cnf(i_0_1158, plain, (c_lessequals(hAPP(hAPP(c_HOL_Oplus__class_Oplus(X1),X2),X3),hAPP(hAPP(c_HOL_Oplus__class_Oplus(X1),X4),X3),X1)|~class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(X1)|~c_lessequals(X2,X4,X1))).
% 0.20/0.48  cnf(i_0_1162, plain, (c_lessequals(hAPP(hAPP(c_HOL_Oplus__class_Oplus(X1),X2),X3),hAPP(hAPP(c_HOL_Oplus__class_Oplus(X1),X4),X3),X1)|~class_OrderedGroup_Opordered__ab__semigroup__add(X1)|~c_lessequals(X2,X4,X1))).
% 0.20/0.48  cnf(i_0_1160, plain, (c_lessequals(hAPP(hAPP(c_HOL_Oplus__class_Oplus(X1),X2),X3),hAPP(hAPP(c_HOL_Oplus__class_Oplus(X1),X2),X4),X1)|~class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(X1)|~c_lessequals(X3,X4,X1))).
% 0.20/0.48  cnf(i_0_1163, plain, (c_lessequals(hAPP(hAPP(c_HOL_Oplus__class_Oplus(X1),X2),X3),hAPP(hAPP(c_HOL_Oplus__class_Oplus(X1),X2),X4),X1)|~class_OrderedGroup_Opordered__ab__semigroup__add(X1)|~c_lessequals(X3,X4,X1))).
% 0.20/0.48  cnf(i_0_1060, plain, (c_HOL_Oord__class_Oless(c_HOL_Ominus__class_Ominus(X1,X2,tc_nat),c_HOL_Ominus__class_Ominus(X3,X2,tc_nat),tc_nat)|~c_lessequals(X2,X1,tc_nat)|~c_HOL_Oord__class_Oless(X1,X3,tc_nat))).
% 0.20/0.48  cnf(i_0_1360, plain, (c_lessequals(X1,X2,X3)|c_HOL_Ominus__class_Ominus(X4,X5,X3)!=c_HOL_Ominus__class_Ominus(X2,X1,X3)|~c_lessequals(X5,X4,X3)|~class_OrderedGroup_Opordered__ab__group__add(X3))).
% 0.20/0.48  cnf(i_0_858, plain, (c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),X1,tc_nat)|c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),X2,tc_nat)|~c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),X2),X1),tc_nat))).
% 0.20/0.48  cnf(i_0_1397, plain, (hAPP(hAPP(X1,hAPP(hAPP(X2,X3),X4)),X3)=hAPP(hAPP(X2,X3),hAPP(c_Suc,X4))|~c_Groebner__Basis_Ogb__semiring(X5,X1,X2,X6,X7,X8))).
% 0.20/0.48  cnf(i_0_1078, plain, (hAPP(hAPP(X1,hAPP(hAPP(X1,X2),X3)),X4)=hAPP(hAPP(X1,X2),hAPP(hAPP(X1,X3),X4))|~c_Groebner__Basis_Ogb__semiring(X5,X1,X6,X7,X8,X9))).
% 0.20/0.48  cnf(i_0_957, plain, (X1=c_HOL_Ozero__class_Ozero(X2)|hAPP(hAPP(c_HOL_Oplus__class_Oplus(X2),X3),X1)!=c_HOL_Ozero__class_Ozero(X2)|~class_OrderedGroup_Opordered__comm__monoid__add(X2)|~c_lessequals(c_HOL_Ozero__class_Ozero(X2),X1,X2)|~c_lessequals(c_HOL_Ozero__class_Ozero(X2),X3,X2))).
% 0.20/0.48  cnf(i_0_922, plain, (c_HOL_Oord__class_Oless(c_HOL_Ominus__class_Ominus(X1,X2,tc_nat),c_HOL_Ominus__class_Ominus(X1,X3,tc_nat),tc_nat)|~c_HOL_Oord__class_Oless(X3,X2,tc_nat)|~c_HOL_Oord__class_Oless(X3,X1,tc_nat))).
% 0.20/0.48  cnf(i_0_1369, plain, (c_Natural_Oevaln(X1,X2,X3,X4)|c_Natural_Oevaln(X5,X2,X3,X4)|~c_Natural_Oevaln(c_Com_Ocom_OCond(X6,X5,X1),X2,X3,X4))).
% 0.20/0.48  cnf(i_0_984, plain, (c_HOL_Oord__class_Oless(X1,X2,X3)|c_HOL_Oord__class_Oless(X1,X4,X3)|~c_HOL_Oord__class_Oless(X1,c_Orderings_Oord__class_Omax(X4,X2,X3),X3)|~class_Orderings_Olinorder(X3))).
% 0.20/0.48  cnf(i_0_937, plain, (c_lessequals(X1,X2,X3)|c_lessequals(X1,X4,X3)|~c_lessequals(X1,c_Orderings_Oord__class_Omax(X4,X2,X3),X3)|~class_Orderings_Olinorder(X3))).
% 0.20/0.48  cnf(i_0_988, plain, (c_HOL_Oord__class_Oless(X1,X2,X3)|c_HOL_Oord__class_Oless(X4,X2,X3)|~c_HOL_Oord__class_Oless(c_Orderings_Oord__class_Omin(X4,X1,X3),X2,X3)|~class_Orderings_Olinorder(X3))).
% 0.20/0.48  cnf(i_0_964, plain, (c_lessequals(X1,X2,X3)|c_lessequals(X4,X2,X3)|~c_lessequals(c_Orderings_Oord__class_Omin(X4,X1,X3),X2,X3)|~class_Orderings_Olinorder(X3))).
% 0.20/0.48  cnf(i_0_852, 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))).
% 0.20/0.48  cnf(i_0_856, 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))).
% 0.20/0.48  cnf(i_0_969, plain, (c_HOL_Oord__class_Oless(X1,c_HOL_Ozero__class_Ozero(X2),X2)|~class_OrderedGroup_Olordered__ab__group__add(X2)|~c_HOL_Oord__class_Oless(hAPP(hAPP(c_HOL_Oplus__class_Oplus(X2),X1),X1),c_HOL_Ozero__class_Ozero(X2),X2))).
% 0.20/0.48  cnf(i_0_970, plain, (c_HOL_Oord__class_Oless(X1,c_HOL_Ozero__class_Ozero(X2),X2)|~class_Ring__and__Field_Oordered__idom(X2)|~c_HOL_Oord__class_Oless(hAPP(hAPP(c_HOL_Oplus__class_Oplus(X2),X1),X1),c_HOL_Ozero__class_Ozero(X2),X2))).
% 0.20/0.48  cnf(i_0_1305, plain, (c_lessequals(X1,c_HOL_Ozero__class_Ozero(X2),X2)|~class_OrderedGroup_Olordered__ab__group__add(X2)|~c_lessequals(hAPP(hAPP(c_HOL_Oplus__class_Oplus(X2),X1),X1),c_HOL_Ozero__class_Ozero(X2),X2))).
% 0.20/0.48  cnf(i_0_1082, plain, (hAPP(hAPP(X1,hAPP(hAPP(X1,X2),X3)),X4)=hAPP(hAPP(X1,X2),hAPP(hAPP(X1,X3),X4))|~c_Groebner__Basis_Ogb__semiring(X1,X5,X6,X7,X8,X9))).
% 0.20/0.48  cnf(i_0_1178, plain, (c_HOL_Ominus__class_Ominus(hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),X1),X2),X3,tc_nat)=hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),c_HOL_Ominus__class_Ominus(X1,X3,tc_nat)),X2)|~c_lessequals(X3,X1,tc_nat))).
% 0.20/0.48  cnf(i_0_958, plain, (X1=c_HOL_Ozero__class_Ozero(X2)|hAPP(hAPP(c_HOL_Oplus__class_Oplus(X2),X1),X3)!=c_HOL_Ozero__class_Ozero(X2)|~class_OrderedGroup_Opordered__comm__monoid__add(X2)|~c_lessequals(c_HOL_Ozero__class_Ozero(X2),X3,X2)|~c_lessequals(c_HOL_Ozero__class_Ozero(X2),X1,X2))).
% 0.20/0.48  cnf(i_0_848, 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))).
% 0.20/0.48  cnf(i_0_847, 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))).
% 0.20/0.48  cnf(i_0_851, 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))).
% 0.20/0.48  cnf(i_0_853, 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))).
% 0.20/0.48  cnf(i_0_855, 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))).
% 0.20/0.48  cnf(i_0_1265, plain, (c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X1),X2,X1)|~class_OrderedGroup_Olordered__ab__group__add(X1)|~c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X1),hAPP(hAPP(c_HOL_Oplus__class_Oplus(X1),X2),X2),X1))).
% 0.20/0.48  cnf(i_0_813, plain, (c_lessequals(c_HOL_Ozero__class_Ozero(X1),X2,X1)|~class_OrderedGroup_Olordered__ab__group__add(X1)|~c_lessequals(c_HOL_Ozero__class_Ozero(X1),hAPP(hAPP(c_HOL_Oplus__class_Oplus(X1),X2),X2),X1))).
% 0.20/0.48  cnf(i_0_1323, plain, (c_HOL_Oord__class_Oless(X1,X2,X3)|~class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(X3)|~c_HOL_Oord__class_Oless(hAPP(hAPP(c_HOL_Oplus__class_Oplus(X3),X4),X1),hAPP(hAPP(c_HOL_Oplus__class_Oplus(X3),X4),X2),X3))).
% 0.20/0.48  cnf(i_0_1223, plain, (c_lessequals(hAPP(X1,X2),hAPP(X1,X3),X4)|~c_Orderings_Oorder__class_Omono(X1,X5,X4)|~class_Orderings_Oorder(X4)|~class_Orderings_Oorder(X5)|~c_lessequals(X2,X3,X5))).
% 0.20/0.48  cnf(i_0_811, plain, (c_HOL_Oord__class_Oless(X1,c_Orderings_Oord__class_Omin(X2,X3,X4),X4)|~c_HOL_Oord__class_Oless(X1,X3,X4)|~c_HOL_Oord__class_Oless(X1,X2,X4)|~class_Orderings_Olinorder(X4))).
% 0.20/0.48  cnf(i_0_769, plain, (c_lessequals(X1,c_Orderings_Oord__class_Omin(X2,X3,X4),X4)|~c_lessequals(X1,X3,X4)|~c_lessequals(X1,X2,X4)|~class_Orderings_Olinorder(X4))).
% 0.20/0.48  cnf(i_0_765, plain, (c_HOL_Oord__class_Oless(c_Orderings_Oord__class_Omax(X1,X2,X3),X4,X3)|~c_HOL_Oord__class_Oless(X2,X4,X3)|~c_HOL_Oord__class_Oless(X1,X4,X3)|~class_Orderings_Olinorder(X3))).
% 0.20/0.48  cnf(i_0_781, plain, (c_lessequals(c_Orderings_Oord__class_Omax(X1,X2,X3),X4,X3)|~c_lessequals(X2,X4,X3)|~c_lessequals(X1,X4,X3)|~class_Orderings_Olinorder(X3))).
% 0.20/0.48  cnf(i_0_1320, plain, (c_HOL_Oord__class_Oless(X1,X2,X3)|~class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(X3)|~c_HOL_Oord__class_Oless(hAPP(hAPP(c_HOL_Oplus__class_Oplus(X3),X1),X4),hAPP(hAPP(c_HOL_Oplus__class_Oplus(X3),X2),X4),X3))).
% 0.20/0.48  cnf(i_0_1161, plain, (c_lessequals(X1,X2,X3)|~class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(X3)|~c_lessequals(hAPP(hAPP(c_HOL_Oplus__class_Oplus(X3),X4),X1),hAPP(hAPP(c_HOL_Oplus__class_Oplus(X3),X4),X2),X3))).
% 0.20/0.48  cnf(i_0_1159, plain, (c_lessequals(X1,X2,X3)|~class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(X3)|~c_lessequals(hAPP(hAPP(c_HOL_Oplus__class_Oplus(X3),X1),X4),hAPP(hAPP(c_HOL_Oplus__class_Oplus(X3),X2),X4),X3))).
% 0.20/0.48  cnf(i_0_1285, 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))).
% 0.20/0.48  cnf(i_0_1151, plain, (c_HOL_Ominus__class_Ominus(X1,hAPP(c_Suc,c_HOL_Ominus__class_Ominus(X2,X3,tc_nat)),tc_nat)=c_HOL_Ominus__class_Ominus(hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),X1),X3),hAPP(c_Suc,X2),tc_nat)|~c_lessequals(X3,X2,tc_nat))).
% 0.20/0.48  cnf(i_0_1259, plain, (c_Orderings_Oord__class_Omax(hAPP(X1,X2),hAPP(X1,X3),X4)=hAPP(X1,c_Orderings_Oord__class_Omax(X2,X3,X5))|~c_Orderings_Oorder__class_Omono(X1,X5,X4)|~class_Orderings_Olinorder(X4)|~class_Orderings_Olinorder(X5))).
% 0.20/0.48  cnf(i_0_1014, 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_1236, plain, (c_Orderings_Oord__class_Omax(hAPP(hAPP(c_HOL_Oplus__class_Oplus(X1),X2),X3),hAPP(hAPP(c_HOL_Oplus__class_Oplus(X1),X4),X3),X1)=hAPP(hAPP(c_HOL_Oplus__class_Oplus(X1),c_Orderings_Oord__class_Omax(X2,X4,X1)),X3)|~class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(X1))).
% 0.20/0.48  cnf(i_0_1072, plain, (c_Orderings_Oord__class_Omin(hAPP(hAPP(c_HOL_Oplus__class_Oplus(X1),X2),X3),hAPP(hAPP(c_HOL_Oplus__class_Oplus(X1),X4),X3),X1)=hAPP(hAPP(c_HOL_Oplus__class_Oplus(X1),c_Orderings_Oord__class_Omin(X2,X4,X1)),X3)|~class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(X1))).
% 0.20/0.48  cnf(i_0_826, plain, (hAPP(hAPP(c_HOL_Oplus__class_Oplus(X1),c_Power_Opower_Opower(c_HOL_Ozero__class_Ozero(X1),c_HOL_Oplus__class_Oplus(X1),X2,X3,X1)),X2)=c_Power_Opower_Opower(c_HOL_Ozero__class_Ozero(X1),c_HOL_Oplus__class_Oplus(X1),X2,hAPP(c_Suc,X3),X1)|~class_OrderedGroup_Ocomm__monoid__add(X1))).
% 0.20/0.48  cnf(i_0_1056, 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_839, plain, (c_Divides_Odiv__class_Omod(hAPP(hAPP(c_HOL_Oplus__class_Oplus(X1),c_Divides_Odiv__class_Omod(X2,X3,X1)),c_Divides_Odiv__class_Omod(X4,X3,X1)),X3,X1)=c_Divides_Odiv__class_Omod(hAPP(hAPP(c_HOL_Oplus__class_Oplus(X1),X2),X4),X3,X1)|~class_Divides_Osemiring__div(X1))).
% 0.20/0.48  cnf(i_0_797, plain, (c_HOL_Ominus__class_Ominus(hAPP(c_Suc,c_HOL_Ominus__class_Ominus(X1,X2,tc_nat)),X3,tc_nat)=c_HOL_Ominus__class_Ominus(hAPP(c_Suc,X1),hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),X2),X3),tc_nat)|~c_lessequals(X2,X1,tc_nat))).
% 0.20/0.48  cnf(i_0_1280, 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)))).
% 0.20/0.48  cnf(i_0_1470, plain, (c_Hoare__Mirabelle_Otriple__valid(X1,X2,t_a)|~c_Hoare__Mirabelle_Ohoare__valids(X3,X4,t_a)|~c_Hoare__Mirabelle_Otriple__valid(X1,v_sko__Hoare__Mirabelle__Xhoare__valids__def__1(X3,X1),t_a)|~hBOOL(c_in(X2,X4,tc_Hoare__Mirabelle_Otriple(t_a))))).
% 0.20/0.48  cnf(i_0_1205, plain, (hAPP(hAPP(X1,X2),X2)=hAPP(hAPP(X3,hAPP(hAPP(X1,X4),X4)),X2)|~c_Groebner__Basis_Ogb__semiring(X1,X3,X5,X6,X4,X7))).
% 0.20/0.48  cnf(i_0_780, plain, (c_lessequals(X1,c_HOL_Ominus__class_Ominus(X2,X3,tc_nat),tc_nat)|~c_lessequals(hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),X1),X3),X2,tc_nat))).
% 0.20/0.48  cnf(i_0_1216, plain, (c_Orderings_Oord__class_Omin(hAPP(X1,X2),hAPP(X1,X3),X4)=hAPP(X1,c_Orderings_Oord__class_Omin(X2,X3,X5))|~c_Orderings_Oorder__class_Omono(X1,X5,X4)|~class_Orderings_Olinorder(X4)|~class_Orderings_Olinorder(X5))).
% 0.20/0.48  cnf(i_0_1145, plain, (c_HOL_Oord__class_Oless(hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),X1),X2),hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),X3),X4),tc_nat)|~c_HOL_Oord__class_Oless(X2,X4,tc_nat)|~c_HOL_Oord__class_Oless(X1,X3,tc_nat))).
% 0.20/0.48  cnf(i_0_824, plain, (c_lessequals(hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),X1),X2),hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),X3),X4),tc_nat)|~c_lessequals(X2,X4,tc_nat)|~c_lessequals(X1,X3,tc_nat))).
% 0.20/0.48  cnf(i_0_1052, plain, (c_HOL_Ominus__class_Ominus(X1,c_Orderings_Oord__class_Omax(X2,X3,tc_nat),tc_nat)=c_HOL_Ominus__class_Ominus(X1,X2,tc_nat)|~c_lessequals(X3,X2,tc_nat)|~c_lessequals(X3,X1,tc_nat))).
% 0.20/0.48  cnf(i_0_1298, plain, (c_HOL_Oord__class_Oless(X1,hAPP(hAPP(c_HOL_Oplus__class_Oplus(X2),X3),X4),X2)|~class_Ring__and__Field_Oordered__semidom(X2)|~c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X2),X3,X2)|~c_HOL_Oord__class_Oless(X1,X4,X2))).
% 0.20/0.48  cnf(i_0_1468, plain, (c_Hoare__Mirabelle_Otriple__valid(X1,X2,t_a)|hBOOL(c_in(v_sko__Hoare__Mirabelle__Xhoare__valids__def__1(X3,X1),X3,tc_Hoare__Mirabelle_Otriple(t_a)))|~c_Hoare__Mirabelle_Ohoare__valids(X3,X4,t_a)|~hBOOL(c_in(X2,X4,tc_Hoare__Mirabelle_Otriple(t_a))))).
% 0.20/0.48  cnf(i_0_1090, plain, (hAPP(hAPP(X1,X2),hAPP(hAPP(X1,X3),X4))=hAPP(hAPP(X1,X3),hAPP(hAPP(X1,X2),X4))|~c_Groebner__Basis_Ogb__semiring(X5,X1,X6,X7,X8,X9))).
% 0.20/0.48  cnf(i_0_1076, plain, (hAPP(hAPP(X1,hAPP(hAPP(X2,X3),X4)),hAPP(hAPP(X2,X3),X5))=hAPP(hAPP(X2,X3),hAPP(hAPP(X1,X4),X5))|~c_Groebner__Basis_Ogb__semiring(X1,X2,X6,X7,X8,X9))).
% 0.20/0.48  cnf(i_0_1075, plain, (hAPP(hAPP(X1,hAPP(hAPP(X2,X3),X4)),hAPP(hAPP(X2,X5),X4))=hAPP(hAPP(X2,hAPP(hAPP(X1,X3),X5)),X4)|~c_Groebner__Basis_Ogb__semiring(X6,X1,X2,X7,X8,X9))).
% 0.20/0.48  cnf(i_0_1009, plain, (c_Natural_Oevalc(c_Com_Ocom_OWhile(X1,X2),X3,X4)|~hBOOL(hAPP(X1,X3))|~c_Natural_Oevalc(c_Com_Ocom_OWhile(X1,X2),X5,X4)|~c_Natural_Oevalc(X2,X3,X5))).
% 0.20/0.48  cnf(i_0_1087, plain, (hAPP(hAPP(X1,X2),hAPP(hAPP(X1,X3),X4))=hAPP(hAPP(X1,X3),hAPP(hAPP(X1,X2),X4))|~c_Groebner__Basis_Ogb__semiring(X1,X5,X6,X7,X8,X9))).
% 0.20/0.48  cnf(i_0_1206, plain, (hAPP(hAPP(X1,X2),hAPP(hAPP(X3,X4),X2))=hAPP(hAPP(X3,hAPP(hAPP(X1,X4),X5)),X2)|~c_Groebner__Basis_Ogb__semiring(X1,X3,X6,X7,X5,X8))).
% 0.20/0.48  cnf(i_0_1207, plain, (hAPP(hAPP(X1,hAPP(hAPP(X2,X3),X4)),X4)=hAPP(hAPP(X2,hAPP(hAPP(X1,X3),X5)),X4)|~c_Groebner__Basis_Ogb__semiring(X1,X2,X6,X7,X5,X8))).
% 0.20/0.48  cnf(i_0_1093, plain, (hAPP(hAPP(X1,hAPP(hAPP(X1,X2),X3)),X4)=hAPP(hAPP(X1,hAPP(hAPP(X1,X2),X4)),X3)|~c_Groebner__Basis_Ogb__semiring(X5,X1,X6,X7,X8,X9))).
% 0.20/0.48  cnf(i_0_1086, plain, (hAPP(hAPP(X1,hAPP(hAPP(X1,X2),X3)),X4)=hAPP(hAPP(X1,hAPP(hAPP(X1,X2),X4)),X3)|~c_Groebner__Basis_Ogb__semiring(X1,X5,X6,X7,X8,X9))).
% 0.20/0.48  cnf(i_0_1144, plain, (c_HOL_Oord__class_Oless(hAPP(hAPP(c_HOL_Oplus__class_Oplus(X1),X2),X3),hAPP(hAPP(c_HOL_Oplus__class_Oplus(X1),X4),X5),X1)|~class_OrderedGroup_Opordered__cancel__ab__semigroup__add(X1)|~c_HOL_Oord__class_Oless(X3,X5,X1)|~c_HOL_Oord__class_Oless(X2,X4,X1))).
% 0.20/0.48  cnf(i_0_1260, plain, (c_HOL_Oord__class_Oless(hAPP(hAPP(c_HOL_Oplus__class_Oplus(X1),X2),X3),hAPP(hAPP(c_HOL_Oplus__class_Oplus(X1),X4),X5),X1)|~class_OrderedGroup_Opordered__cancel__ab__semigroup__add(X1)|~c_lessequals(X2,X4,X1)|~c_HOL_Oord__class_Oless(X3,X5,X1))).
% 0.20/0.48  cnf(i_0_1157, 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))).
% 0.20/0.48  cnf(i_0_1155, 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))).
% 0.20/0.48  cnf(i_0_1201, plain, (hAPP(hAPP(X1,hAPP(hAPP(X2,X3),X4)),hAPP(hAPP(X2,X5),X4))=hAPP(hAPP(X2,hAPP(hAPP(X1,X3),X5)),X4)|~c_Groebner__Basis_Ogb__semiring(X1,X2,X6,X7,X8,X9))).
% 0.20/0.48  cnf(i_0_999, plain, (c_HOL_Oord__class_Oless(X1,hAPP(hAPP(c_HOL_Oplus__class_Oplus(X2),X3),X4),X2)|~class_OrderedGroup_Ocomm__monoid__add(X2)|~class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(X2)|~c_lessequals(c_HOL_Ozero__class_Ozero(X2),X3,X2)|~c_HOL_Oord__class_Oless(X1,X4,X2))).
% 0.20/0.48  cnf(i_0_1261, plain, (c_HOL_Oord__class_Oless(hAPP(hAPP(c_HOL_Oplus__class_Oplus(X1),X2),X3),hAPP(hAPP(c_HOL_Oplus__class_Oplus(X1),X4),X5),X1)|~class_OrderedGroup_Opordered__cancel__ab__semigroup__add(X1)|~c_lessequals(X3,X5,X1)|~c_HOL_Oord__class_Oless(X2,X4,X1))).
% 0.20/0.48  cnf(i_0_825, plain, (c_lessequals(hAPP(hAPP(c_HOL_Oplus__class_Oplus(X1),X2),X3),hAPP(hAPP(c_HOL_Oplus__class_Oplus(X1),X4),X5),X1)|~class_OrderedGroup_Opordered__ab__semigroup__add(X1)|~c_lessequals(X3,X5,X1)|~c_lessequals(X2,X4,X1))).
% 0.20/0.48  cnf(i_0_1115, plain, (c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X1),hAPP(hAPP(c_HOL_Oplus__class_Oplus(X1),X2),X3),X1)|~class_OrderedGroup_Opordered__comm__monoid__add(X1)|~c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X1),X3,X1)|~c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X1),X2,X1))).
% 0.20/0.48  cnf(i_0_1057, plain, (c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X1),hAPP(hAPP(c_HOL_Oplus__class_Oplus(X1),X2),X3),X1)|~class_OrderedGroup_Opordered__comm__monoid__add(X1)|~c_lessequals(c_HOL_Ozero__class_Ozero(X1),X2,X1)|~c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X1),X3,X1))).
% 0.20/0.48  cnf(i_0_1058, plain, (c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X1),hAPP(hAPP(c_HOL_Oplus__class_Oplus(X1),X2),X3),X1)|~class_OrderedGroup_Opordered__comm__monoid__add(X1)|~c_lessequals(c_HOL_Ozero__class_Ozero(X1),X3,X1)|~c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X1),X2,X1))).
% 0.20/0.48  cnf(i_0_840, plain, (c_lessequals(c_HOL_Ozero__class_Ozero(X1),hAPP(hAPP(c_HOL_Oplus__class_Oplus(X1),X2),X3),X1)|~class_OrderedGroup_Opordered__comm__monoid__add(X1)|~c_lessequals(c_HOL_Ozero__class_Ozero(X1),X3,X1)|~c_lessequals(c_HOL_Ozero__class_Ozero(X1),X2,X1))).
% 0.20/0.48  cnf(i_0_1042, plain, (c_HOL_Oord__class_Oless(hAPP(hAPP(c_HOL_Oplus__class_Oplus(X1),X2),X3),c_HOL_Ozero__class_Ozero(X1),X1)|~class_OrderedGroup_Opordered__comm__monoid__add(X1)|~c_HOL_Oord__class_Oless(X3,c_HOL_Ozero__class_Ozero(X1),X1)|~c_HOL_Oord__class_Oless(X2,c_HOL_Ozero__class_Ozero(X1),X1))).
% 0.20/0.48  cnf(i_0_989, plain, (c_HOL_Oord__class_Oless(hAPP(hAPP(c_HOL_Oplus__class_Oplus(X1),X2),X3),c_HOL_Ozero__class_Ozero(X1),X1)|~class_OrderedGroup_Opordered__comm__monoid__add(X1)|~c_lessequals(X2,c_HOL_Ozero__class_Ozero(X1),X1)|~c_HOL_Oord__class_Oless(X3,c_HOL_Ozero__class_Ozero(X1),X1))).
% 0.20/0.48  cnf(i_0_861, 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))).
% 0.20/0.48  cnf(i_0_1473, plain, (c_Hoare__Mirabelle_Ohoare__derivs(X1,c_Set_Oinsert(c_Hoare__Mirabelle_Otriple_Otriple(X2,c_Com_Ocom_OBODY(X3),X4,X5),c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(X5),tc_bool)),tc_Hoare__Mirabelle_Otriple(X5)),X5)|~c_Hoare__Mirabelle_Ohoare__derivs(X1,c_Set_Oinsert(c_Hoare__Mirabelle_Otriple_Otriple(X2,c_Option_Othe(c_Com_Obody(X3),tc_Com_Ocom),X4,X5),c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(X5),tc_bool)),tc_Hoare__Mirabelle_Otriple(X5)),X5))).
% 0.20/0.48  cnf(i_0_1476, plain, (hBOOL(hAPP(hAPP(X1,X2),X3))|~c_Hoare__Mirabelle_Otriple__valid(X4,c_Hoare__Mirabelle_Otriple_Otriple(X5,X6,X1,t_a),t_a)|~c_Natural_Oevaln(X6,X7,X4,X3)|~hBOOL(hAPP(hAPP(X5,X2),X7)))).
% 0.20/0.48  cnf(i_0_803, plain, (c_HOL_Oord__class_Oless(X1,hAPP(hAPP(c_HOL_Oplus__class_Oplus(X2),X3),X4),X2)|~class_OrderedGroup_Ocomm__monoid__add(X2)|~class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(X2)|~c_lessequals(X1,X4,X2)|~c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X2),X3,X2))).
% 0.20/0.48  cnf(i_0_796, plain, (c_lessequals(X1,hAPP(hAPP(c_HOL_Oplus__class_Oplus(X2),X3),X4),X2)|~class_OrderedGroup_Ocomm__monoid__add(X2)|~class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(X2)|~c_lessequals(c_HOL_Ozero__class_Ozero(X2),X3,X2)|~c_lessequals(X1,X4,X2))).
% 0.20/0.48  cnf(i_0_990, plain, (c_HOL_Oord__class_Oless(hAPP(hAPP(c_HOL_Oplus__class_Oplus(X1),X2),X3),c_HOL_Ozero__class_Ozero(X1),X1)|~class_OrderedGroup_Opordered__comm__monoid__add(X1)|~c_lessequals(X3,c_HOL_Ozero__class_Ozero(X1),X1)|~c_HOL_Oord__class_Oless(X2,c_HOL_Ozero__class_Ozero(X1),X1))).
% 0.20/0.48  cnf(i_0_1332, plain, (c_lessequals(hAPP(hAPP(c_HOL_Oplus__class_Oplus(X1),X2),X3),c_HOL_Ozero__class_Ozero(X1),X1)|~class_OrderedGroup_Opordered__comm__monoid__add(X1)|~c_lessequals(X3,c_HOL_Ozero__class_Ozero(X1),X1)|~c_lessequals(X2,c_HOL_Ozero__class_Ozero(X1),X1))).
% 0.20/0.48  cnf(i_0_897, plain, (c_lessequals(X1,hAPP(hAPP(c_HOL_Oplus__class_Oplus(X2),X3),X4),X2)|~class_OrderedGroup_Ocomm__monoid__add(X2)|~class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(X2)|~c_lessequals(c_HOL_Ozero__class_Ozero(X2),X4,X2)|~c_lessequals(X1,X3,X2))).
% 0.20/0.48  cnf(i_0_1215, 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))).
% 0.20/0.48  cnf(i_0_1350, plain, (hAPP(X1,hAPP(X2,X3))=hAPP(X4,hAPP(X5,X3))|c_Fun_Ocomp(X1,X2,X6,X7,X8)!=c_Fun_Ocomp(X4,X5,X9,X7,X8))).
% 0.20/0.48  cnf(i_0_834, plain, (hAPP(hAPP(c_HOL_Oplus__class_Oplus(X1),c_Power_Opower_Opower(c_HOL_Ozero__class_Ozero(X1),c_HOL_Oplus__class_Oplus(X1),X2,X3,X1)),c_Power_Opower_Opower(c_HOL_Ozero__class_Ozero(X1),c_HOL_Oplus__class_Oplus(X1),X2,X4,X1))=c_Power_Opower_Opower(c_HOL_Ozero__class_Ozero(X1),c_HOL_Oplus__class_Oplus(X1),X2,hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),X3),X4),X1)|~class_OrderedGroup_Ocomm__monoid__add(X1))).
% 0.20/0.48  cnf(i_0_836, plain, (hAPP(hAPP(c_HOL_Oplus__class_Oplus(X1),c_Power_Opower_Opower(c_HOL_Ozero__class_Ozero(X1),c_HOL_Oplus__class_Oplus(X1),X2,X3,X1)),c_Power_Opower_Opower(c_HOL_Ozero__class_Ozero(X1),c_HOL_Oplus__class_Oplus(X1),X4,X3,X1))=c_Power_Opower_Opower(c_HOL_Ozero__class_Ozero(X1),c_HOL_Oplus__class_Oplus(X1),hAPP(hAPP(c_HOL_Oplus__class_Oplus(X1),X2),X4),X3,X1)|~class_OrderedGroup_Ocomm__monoid__add(X1))).
% 0.20/0.48  cnf(i_0_1472, plain, (c_Hoare__Mirabelle_Ohoare__derivs(X1,c_Set_Oinsert(c_Hoare__Mirabelle_Otriple_Otriple(X2,c_Com_Ocom_OBODY(X3),X4,X5),c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(X5),tc_bool)),tc_Hoare__Mirabelle_Otriple(X5)),X5)|~c_Hoare__Mirabelle_Ohoare__derivs(c_Set_Oinsert(c_Hoare__Mirabelle_Otriple_Otriple(X2,c_Com_Ocom_OBODY(X3),X4,X5),X1,tc_Hoare__Mirabelle_Otriple(X5)),c_Set_Oinsert(c_Hoare__Mirabelle_Otriple_Otriple(X2,c_Option_Othe(c_Com_Obody(X3),tc_Com_Ocom),X4,X5),c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(X5),tc_bool)),tc_Hoare__Mirabelle_Otriple(X5)),X5))).
% 0.20/0.48  cnf(i_0_1006, plain, (c_Natural_Oevaln(c_Com_Ocom_OWhile(X1,X2),X3,X4,X5)|~c_Natural_Oevaln(c_Com_Ocom_OWhile(X1,X2),X6,X4,X5)|~c_Natural_Oevaln(X2,X3,X4,X6)|~hBOOL(hAPP(X1,X3)))).
% 0.20/0.48  cnf(i_0_1356, 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))).
% 0.20/0.48  cnf(i_0_938, plain, (hAPP(hAPP(X1,hAPP(hAPP(X2,X3),X4)),hAPP(hAPP(X2,X3),X5))=hAPP(hAPP(X2,X3),hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),X4),X5))|~c_Groebner__Basis_Ogb__semiring(X6,X1,X2,X7,X8,X9))).
% 0.20/0.48  cnf(i_0_1342, plain, (c_lessequals(X1,hAPP(hAPP(c_HOL_Oplus__class_Oplus(X2),X3),X4),X2)|~c_lessequals(X1,hAPP(hAPP(c_HOL_Oplus__class_Oplus(X2),X3),X5),X2)|~c_lessequals(X5,X4,X2)|~class_OrderedGroup_Opordered__ab__group__add(X2))).
% 0.20/0.48  cnf(i_0_966, plain, (c_Divides_Odiv__class_Omod(hAPP(hAPP(c_HOL_Oplus__class_Oplus(X1),X2),X3),X4,X1)=c_Divides_Odiv__class_Omod(hAPP(hAPP(c_HOL_Oplus__class_Oplus(X1),X5),X6),X4,X1)|c_Divides_Odiv__class_Omod(X2,X4,X1)!=c_Divides_Odiv__class_Omod(X5,X4,X1)|c_Divides_Odiv__class_Omod(X3,X4,X1)!=c_Divides_Odiv__class_Omod(X6,X4,X1)|~class_Divides_Osemiring__div(X1))).
% 0.20/0.48  cnf(i_0_1096, plain, (hAPP(hAPP(X1,hAPP(hAPP(X1,X2),X3)),hAPP(hAPP(X1,X4),X5))=hAPP(hAPP(X1,hAPP(hAPP(X1,X2),X4)),hAPP(hAPP(X1,X3),X5))|~c_Groebner__Basis_Ogb__semiring(X6,X1,X7,X8,X9,X10))).
% 0.20/0.48  cnf(i_0_1089, plain, (hAPP(hAPP(X1,hAPP(hAPP(X1,X2),X3)),hAPP(hAPP(X1,X4),X5))=hAPP(hAPP(X1,hAPP(hAPP(X1,X2),X4)),hAPP(hAPP(X1,X3),X5))|~c_Groebner__Basis_Ogb__semiring(X1,X6,X7,X8,X9,X10))).
% 0.20/0.48  cnf(i_0_1139, plain, (c_Divides_Odiv__class_Omod(c_HOL_Ominus__class_Ominus(X1,X2,X3),X4,X3)=c_Divides_Odiv__class_Omod(c_HOL_Ominus__class_Ominus(X5,X6,X3),X4,X3)|c_Divides_Odiv__class_Omod(X1,X4,X3)!=c_Divides_Odiv__class_Omod(X5,X4,X3)|c_Divides_Odiv__class_Omod(X2,X4,X3)!=c_Divides_Odiv__class_Omod(X6,X4,X3)|~class_Divides_Oring__div(X3))).
% 0.20/0.48  cnf(i_0_994, plain, (c_Hoare__Mirabelle_Ohoare__derivs(X1,c_Set_Oinsert(c_Hoare__Mirabelle_Otriple_Otriple(X2,c_Com_Ocom_OSemi(X3,X4),X5,X6),c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(X6),tc_bool)),tc_Hoare__Mirabelle_Otriple(X6)),X6)|~c_Hoare__Mirabelle_Ohoare__derivs(X1,c_Set_Oinsert(c_Hoare__Mirabelle_Otriple_Otriple(X7,X4,X5,X6),c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(X6),tc_bool)),tc_Hoare__Mirabelle_Otriple(X6)),X6)|~c_Hoare__Mirabelle_Ohoare__derivs(X1,c_Set_Oinsert(c_Hoare__Mirabelle_Otriple_Otriple(X2,X3,X7,X6),c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(X6),tc_bool)),tc_Hoare__Mirabelle_Otriple(X6)),X6))).
% 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 4 steps
% 0.20/0.48  cnf(i_0_1501, negated_conjecture, (c_Hoare__Mirabelle_Otriple__valid(v_na,c_Hoare__Mirabelle_Otriple_Otriple(hAPP(v_P,v_x),c_Option_Othe(c_Com_Obody(v_x),tc_Com_Ocom),hAPP(v_Q,v_x),t_a),t_a)|~hBOOL(c_in(v_x,v_Procs,tc_Com_Opname))), inference(start_rule)).
% 0.20/0.48  cnf(i_0_1529, plain, (~hBOOL(c_in(v_x,v_Procs,tc_Com_Opname))), inference(closure_rule, [i_0_1497])).
% 0.20/0.48  cnf(i_0_1528, plain, (c_Hoare__Mirabelle_Otriple__valid(v_na,c_Hoare__Mirabelle_Otriple_Otriple(hAPP(v_P,v_x),c_Option_Othe(c_Com_Obody(v_x),tc_Com_Ocom),hAPP(v_Q,v_x),t_a),t_a)), inference(extension_rule, [i_0_1494])).
% 0.20/0.48  cnf(i_0_1722, plain, (c_Hoare__Mirabelle_Otriple__valid(hAPP(c_Suc,v_na),c_Hoare__Mirabelle_Otriple_Otriple(hAPP(v_P,v_x),c_Com_Ocom_OBODY(v_x),hAPP(v_Q,v_x),t_a),t_a)), inference(closure_rule, [i_0_1498])).
% 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 5 new_tableaux and 0 remaining starting tableaux.
% 0.20/0.48  # We now have 5 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
%------------------------------------------------------------------------------