TSTP Solution File: SWV849-1 by Etableau---0.67
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : Etableau---0.67
% Problem : SWV849-1 : TPTP v8.1.0. Released v4.1.0.
% Transfm : none
% Format : tptp:raw
% Command : etableau --auto --tsmdo --quicksat=10000 --tableau=1 --tableau-saturation=1 -s -p --tableau-cores=8 --cpu-limit=%d %s
% Computer : n012.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8042.1875MB
% OS : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit : 600s
% DateTime : Wed Jul 20 18:23:42 EDT 2022
% Result : Unsatisfiable 2.75s 0.80s
% Output : CNFRefutation 2.75s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12 % Problem : SWV849-1 : TPTP v8.1.0. Released v4.1.0.
% 0.03/0.13 % Command : etableau --auto --tsmdo --quicksat=10000 --tableau=1 --tableau-saturation=1 -s -p --tableau-cores=8 --cpu-limit=%d %s
% 0.13/0.34 % Computer : n012.cluster.edu
% 0.13/0.34 % Model : x86_64 x86_64
% 0.13/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.34 % Memory : 8042.1875MB
% 0.13/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.34 % CPULimit : 300
% 0.13/0.34 % WCLimit : 600
% 0.13/0.34 % DateTime : Wed Jun 15 06:10:39 EDT 2022
% 0.13/0.34 % CPUTime :
% 0.19/0.42 # No SInE strategy applied
% 0.19/0.42 # Auto-Mode selected heuristic G_E___300_C18_F1_SE_CS_SP_PS_S0Y
% 0.19/0.42 # and selection function SelectMaxLComplexAvoidPosPred.
% 0.19/0.42 #
% 0.19/0.42 # Presaturation interreduction done
% 0.19/0.42 # Number of axioms: 507 Number of unprocessed: 423
% 0.19/0.42 # Tableaux proof search.
% 0.19/0.42 # APR header successfully linked.
% 0.19/0.42 # Hello from C++
% 0.19/0.43 # The folding up rule is enabled...
% 0.19/0.43 # Local unification is enabled...
% 0.19/0.43 # Any saturation attempts will use folding labels...
% 0.19/0.43 # 423 beginning clauses after preprocessing and clausification
% 0.19/0.43 # Creating start rules for all 18 conjectures.
% 0.19/0.43 # There are 18 start rule candidates:
% 0.19/0.43 # Found 157 unit axioms.
% 0.19/0.43 # Unsuccessfully attempted saturation on 1 start tableaux, moving on.
% 0.19/0.43 # 18 start rule tableaux created.
% 0.19/0.43 # 266 extension rule candidate clauses
% 0.19/0.43 # 157 unit axiom clauses
% 0.19/0.43
% 0.19/0.43 # Requested 8, 32 cores available to the main process.
% 2.75/0.80 # There were 2 total branch saturation attempts.
% 2.75/0.80 # There were 0 of these attempts blocked.
% 2.75/0.80 # There were 0 deferred branch saturation attempts.
% 2.75/0.80 # There were 0 free duplicated saturations.
% 2.75/0.80 # There were 2 total successful branch saturations.
% 2.75/0.80 # There were 0 successful branch saturations in interreduction.
% 2.75/0.80 # There were 0 successful branch saturations on the branch.
% 2.75/0.80 # There were 2 successful branch saturations after the branch.
% 2.75/0.80 # SZS status Unsatisfiable for /export/starexec/sandbox/benchmark/theBenchmark.p
% 2.75/0.80 # SZS output start for /export/starexec/sandbox/benchmark/theBenchmark.p
% 2.75/0.80 # Begin clausification derivation
% 2.75/0.80
% 2.75/0.80 # End clausification derivation
% 2.75/0.80 # Begin listing active clauses obtained from FOF to CNF conversion
% 2.75/0.80 cnf(i_0_1003, plain, (class_Complete__Lattice_Ocomplete__lattice(tc_bool))).
% 2.75/0.80 cnf(i_0_969, negated_conjecture, (v_ba=v_b)).
% 2.75/0.80 cnf(i_0_1009, plain, (class_Lattices_Olattice(tc_bool))).
% 2.75/0.80 cnf(i_0_999, plain, (class_Lattices_Olattice(tc_nat))).
% 2.75/0.80 cnf(i_0_1006, plain, (class_Lattices_Odistrib__lattice(tc_bool))).
% 2.75/0.80 cnf(i_0_996, plain, (class_Lattices_Odistrib__lattice(tc_nat))).
% 2.75/0.80 cnf(i_0_1004, plain, (class_Lattices_Oupper__semilattice(tc_bool))).
% 2.75/0.80 cnf(i_0_994, plain, (class_Lattices_Oupper__semilattice(tc_nat))).
% 2.75/0.80 cnf(i_0_543, plain, (c_Com_OWT(c_Com_Ocom_OSKIP))).
% 2.75/0.80 cnf(i_0_1005, plain, (class_Lattices_Olower__semilattice(tc_bool))).
% 2.75/0.80 cnf(i_0_970, negated_conjecture, (v_ca=v_c)).
% 2.75/0.80 cnf(i_0_966, negated_conjecture, (hBOOL(hAPP(v_b,v_s0)))).
% 2.75/0.80 cnf(i_0_995, plain, (class_Lattices_Olower__semilattice(tc_nat))).
% 2.75/0.80 cnf(i_0_1011, plain, (class_Orderings_Obot(tc_bool))).
% 2.75/0.80 cnf(i_0_1001, plain, (class_Orderings_Obot(tc_nat))).
% 2.75/0.80 cnf(i_0_1007, plain, (class_Lattices_Obounded__lattice(tc_bool))).
% 2.75/0.80 cnf(i_0_1010, plain, (class_Orderings_Oorder(tc_bool))).
% 2.75/0.80 cnf(i_0_1000, plain, (class_Orderings_Oorder(tc_nat))).
% 2.75/0.80 cnf(i_0_1012, plain, (class_HOL_Ominus(tc_bool))).
% 2.75/0.80 cnf(i_0_1002, plain, (class_HOL_Ominus(tc_nat))).
% 2.75/0.80 cnf(i_0_1008, plain, (class_Orderings_Opreorder(tc_bool))).
% 2.75/0.80 cnf(i_0_997, plain, (class_Orderings_Opreorder(tc_nat))).
% 2.75/0.80 cnf(i_0_971, negated_conjecture, (hBOOL(hAPP(hAPP(v_P,v_xb),v_s0)))).
% 2.75/0.80 cnf(i_0_967, negated_conjecture, (c_Natural_Oevaln(v_c,v_s0,v_na,v_s1))).
% 2.75/0.80 cnf(i_0_998, plain, (class_Orderings_Olinorder(tc_nat))).
% 2.75/0.80 cnf(i_0_548, plain, (c_Com_OWT(c_Com_Ocom_OAss(X1,X2)))).
% 2.75/0.80 cnf(i_0_827, plain, (c_lessequals(X1,X1,tc_nat))).
% 2.75/0.80 cnf(i_0_641, plain, (c_Natural_Oevalc(c_Com_Ocom_OSKIP,X1,X1))).
% 2.75/0.80 cnf(i_0_1013, plain, (c_fequal(X1,X1,X2))).
% 2.75/0.80 cnf(i_0_934, plain, (c_Natural_Oevaln(c_Com_Ocom_OSKIP,X1,X2,X1))).
% 2.75/0.80 cnf(i_0_968, negated_conjecture, (c_Natural_Oevaln(c_Com_Ocom_OWhile(v_b,v_c),v_s1,v_na,v_s2))).
% 2.75/0.80 cnf(i_0_536, plain, (hAPP(c_COMBI(X1),X2)=X2)).
% 2.75/0.80 cnf(i_0_733, plain, (hAPP(c_Fun_Oid(X1),X2)=X2)).
% 2.75/0.80 cnf(i_0_798, plain, (hBOOL(hAPP(c_Set_Oinsert(X1,X2,X3),X1)))).
% 2.75/0.80 cnf(i_0_817, plain, (c_Lattices_Olower__semilattice__class_Oinf(X1,X1,tc_fun(X2,tc_bool))=X1)).
% 2.75/0.80 cnf(i_0_529, plain, (c_Lattices_Oupper__semilattice__class_Osup(X1,X1,tc_fun(X2,tc_bool))=X1)).
% 2.75/0.80 cnf(i_0_510, plain, (c_Set_Oimage(c_COMBI(X1),X2,X1,X1)=X2)).
% 2.75/0.80 cnf(i_0_709, plain, (c_Set_Oimage(c_Fun_Oid(X1),X2,X1,X1)=X2)).
% 2.75/0.80 cnf(i_0_615, plain, (c_Set_Ovimage(c_COMBI(X1),X2,X1,X1)=X2)).
% 2.75/0.80 cnf(i_0_701, plain, (c_Set_Ovimage(c_Fun_Oid(X1),X2,X1,X1)=X2)).
% 2.75/0.80 cnf(i_0_527, plain, (c_Fun_Ocomp(X1,c_Fun_Oid(X2),X2,X3,X2)=X1)).
% 2.75/0.80 cnf(i_0_808, plain, (c_Fun_Ofcomp(X1,c_Fun_Oid(X2),X3,X2,X2)=X1)).
% 2.75/0.80 cnf(i_0_528, plain, (c_Fun_Ocomp(c_Fun_Oid(X1),X2,X1,X1,X3)=X2)).
% 2.75/0.80 cnf(i_0_809, plain, (c_Fun_Ofcomp(c_Fun_Oid(X1),X2,X1,X1,X3)=X2)).
% 2.75/0.80 cnf(i_0_755, plain, (hBOOL(hAPP(hAPP(c_in(X1),X2),c_Set_Oinsert(X2,X3,X1))))).
% 2.75/0.80 cnf(i_0_604, plain, (c_HOL_Ominus__class_Ominus(X1,X1,tc_fun(X2,tc_bool))=c_Orderings_Obot__class_Obot(tc_fun(X2,tc_bool)))).
% 2.75/0.80 cnf(i_0_603, plain, (c_HOL_Ominus__class_Ominus(X1,c_Orderings_Obot__class_Obot(tc_fun(X2,tc_bool)),tc_fun(X2,tc_bool))=X1)).
% 2.75/0.80 cnf(i_0_628, plain, (c_Lattices_Oupper__semilattice__class_Osup(X1,c_Orderings_Obot__class_Obot(tc_fun(X2,tc_bool)),tc_fun(X2,tc_bool))=X1)).
% 2.75/0.80 cnf(i_0_627, plain, (c_Lattices_Oupper__semilattice__class_Osup(c_Orderings_Obot__class_Obot(tc_fun(X1,tc_bool)),X2,tc_fun(X1,tc_bool))=X2)).
% 2.75/0.80 cnf(i_0_585, plain, (c_Set_Oinsert(X1,c_Set_Oinsert(X1,X2,X3),X3)=c_Set_Oinsert(X1,X2,X3))).
% 2.75/0.80 cnf(i_0_717, plain, (c_Set_Oimage(X1,c_Orderings_Obot__class_Obot(tc_fun(X2,tc_bool)),X2,X3)=c_Orderings_Obot__class_Obot(tc_fun(X3,tc_bool)))).
% 2.75/0.80 cnf(i_0_855, plain, (c_Set_Ovimage(X1,c_Orderings_Obot__class_Obot(tc_fun(X2,tc_bool)),X3,X2)=c_Orderings_Obot__class_Obot(tc_fun(X3,tc_bool)))).
% 2.75/0.80 cnf(i_0_513, plain, (c_Com_Ocom_Ocom__rec(X1,X2,X3,X4,X5,X6,X7,X8,c_Com_Ocom_OSKIP,X9)=X1)).
% 2.75/0.80 cnf(i_0_614, plain, (c_Com_Ocom_Ocom__case(X1,X2,X3,X4,X5,X6,X7,X8,c_Com_Ocom_OSKIP,X9)=X1)).
% 2.75/0.80 cnf(i_0_594, plain, (c_Lattices_Olower__semilattice__class_Oinf(X1,c_Orderings_Obot__class_Obot(tc_fun(X2,tc_bool)),tc_fun(X2,tc_bool))=c_Orderings_Obot__class_Obot(tc_fun(X2,tc_bool)))).
% 2.75/0.80 cnf(i_0_629, plain, (c_HOL_Ominus__class_Ominus(c_Orderings_Obot__class_Obot(tc_fun(X1,tc_bool)),X2,tc_fun(X1,tc_bool))=c_Orderings_Obot__class_Obot(tc_fun(X1,tc_bool)))).
% 2.75/0.80 cnf(i_0_593, plain, (c_Lattices_Olower__semilattice__class_Oinf(c_Orderings_Obot__class_Obot(tc_fun(X1,tc_bool)),X2,tc_fun(X1,tc_bool))=c_Orderings_Obot__class_Obot(tc_fun(X1,tc_bool)))).
% 2.75/0.80 cnf(i_0_952, plain, (hAPP(hAPP(c_in(t_a),v_x),c_Orderings_Obot__class_Obot(tc_fun(t_a,tc_bool)))=hAPP(c_Orderings_Obot__class_Obot(tc_fun(t_a,tc_bool)),v_x))).
% 2.75/0.80 cnf(i_0_606, plain, (hAPP(c_Fun_Ocomp(X1,X2,X3,X4,X5),X6)=hAPP(X1,hAPP(X2,X6)))).
% 2.75/0.80 cnf(i_0_777, plain, (hAPP(c_Fun_Ofcomp(X1,X2,X3,X4,X5),X6)=hAPP(X2,hAPP(X1,X6)))).
% 2.75/0.80 cnf(i_0_535, plain, (hAPP(hAPP(c_COMBC(X1,X2,X3,X4),X5),X6)=hAPP(hAPP(X1,X6),X5))).
% 2.75/0.80 cnf(i_0_721, plain, (c_Lattices_Olower__semilattice__class_Oinf(X1,c_HOL_Ominus__class_Ominus(X2,X1,tc_fun(X3,tc_bool)),tc_fun(X3,tc_bool))=c_Orderings_Obot__class_Obot(tc_fun(X3,tc_bool)))).
% 2.75/0.80 cnf(i_0_834, plain, (c_Com_Ocom_Ocom__rec(X1,X2,X3,X4,X5,X6,X7,X8,c_Com_Ocom_OBODY(X9),X10)=hAPP(X7,X9))).
% 2.75/0.80 cnf(i_0_722, plain, (c_Com_Ocom_Ocom__case(X1,X2,X3,X4,X5,X6,X7,X8,c_Com_Ocom_OBODY(X9),X10)=hAPP(X7,X9))).
% 2.75/0.80 cnf(i_0_534, plain, (c_HOL_Ominus__class_Ominus(X1,c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(c_Orderings_Obot__class_Obot(tc_fun(X2,tc_bool)),X3,X2,tc_fun(X4,tc_bool)),tc_fun(X4,tc_bool))=X1)).
% 2.75/0.80 cnf(i_0_631, plain, (c_Lattices_Oupper__semilattice__class_Osup(X1,c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(c_Orderings_Obot__class_Obot(tc_fun(X2,tc_bool)),X3,X2,tc_fun(X4,tc_bool)),tc_fun(X4,tc_bool))=X1)).
% 2.75/0.80 cnf(i_0_630, plain, (c_Lattices_Oupper__semilattice__class_Osup(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(c_Orderings_Obot__class_Obot(tc_fun(X1,tc_bool)),X2,X1,tc_fun(X3,tc_bool)),X4,tc_fun(X3,tc_bool))=X4)).
% 2.75/0.80 cnf(i_0_802, plain, (c_Lattices_Olower__semilattice__class_Oinf(X1,c_Lattices_Olower__semilattice__class_Oinf(X1,X2,tc_fun(X3,tc_bool)),tc_fun(X3,tc_bool))=c_Lattices_Olower__semilattice__class_Oinf(X1,X2,tc_fun(X3,tc_bool)))).
% 2.75/0.80 cnf(i_0_693, plain, (c_Lattices_Oupper__semilattice__class_Osup(X1,c_HOL_Ominus__class_Ominus(X2,X1,tc_fun(X3,tc_bool)),tc_fun(X3,tc_bool))=c_Lattices_Oupper__semilattice__class_Osup(X1,X2,tc_fun(X3,tc_bool)))).
% 2.75/0.80 cnf(i_0_714, plain, (c_Lattices_Oupper__semilattice__class_Osup(X1,c_Lattices_Oupper__semilattice__class_Osup(X1,X2,tc_fun(X3,tc_bool)),tc_fun(X3,tc_bool))=c_Lattices_Oupper__semilattice__class_Osup(X1,X2,tc_fun(X3,tc_bool)))).
% 2.75/0.80 cnf(i_0_538, plain, (c_HOL_Ominus__class_Ominus(c_HOL_Ominus__class_Ominus(X1,X2,tc_fun(X3,tc_bool)),X2,tc_fun(X3,tc_bool))=c_HOL_Ominus__class_Ominus(X1,X2,tc_fun(X3,tc_bool)))).
% 2.75/0.80 cnf(i_0_650, plain, (c_Lattices_Oupper__semilattice__class_Osup(c_Lattices_Olower__semilattice__class_Oinf(X1,X2,tc_fun(X3,tc_bool)),c_HOL_Ominus__class_Ominus(X1,X2,tc_fun(X3,tc_bool)),tc_fun(X3,tc_bool))=X1)).
% 2.75/0.80 cnf(i_0_572, plain, (c_Set_Oinsert(X1,c_Lattices_Oupper__semilattice__class_Osup(X2,X3,tc_fun(X4,tc_bool)),X4)=c_Lattices_Oupper__semilattice__class_Osup(X2,c_Set_Oinsert(X1,X3,X4),tc_fun(X4,tc_bool)))).
% 2.75/0.80 cnf(i_0_571, plain, (c_Lattices_Oupper__semilattice__class_Osup(c_Set_Oinsert(X1,X2,X3),X4,tc_fun(X3,tc_bool))=c_Lattices_Oupper__semilattice__class_Osup(X2,c_Set_Oinsert(X1,X4,X3),tc_fun(X3,tc_bool)))).
% 2.75/0.80 cnf(i_0_583, plain, (hBOOL(hAPP(hAPP(c_in(X1),X2),c_Set_Ovimage(X3,c_Set_Oinsert(hAPP(X3,X2),c_Orderings_Obot__class_Obot(tc_fun(X4,tc_bool)),X4),X1,X4))))).
% 2.75/0.80 cnf(i_0_726, 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))).
% 2.75/0.80 cnf(i_0_539, 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))).
% 2.75/0.80 cnf(i_0_703, 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))).
% 2.75/0.80 cnf(i_0_914, 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))).
% 2.75/0.80 cnf(i_0_674, plain, (c_Set_Oinsert(X1,c_HOL_Ominus__class_Ominus(X2,c_Set_Oinsert(X1,c_Orderings_Obot__class_Obot(tc_fun(X3,tc_bool)),X3),tc_fun(X3,tc_bool)),X3)=c_Set_Oinsert(X1,X2,X3))).
% 2.75/0.80 cnf(i_0_790, plain, (c_Set_Oinsert(X1,c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(c_Orderings_Obot__class_Obot(tc_fun(X2,tc_bool)),X3,X2,tc_fun(X4,tc_bool)),X4)=c_Set_Oinsert(X1,c_Orderings_Obot__class_Obot(tc_fun(X4,tc_bool)),X4))).
% 2.75/0.80 cnf(i_0_584, plain, (c_Lattices_Olower__semilattice__class_Oinf(c_Set_Oinsert(X1,X2,X3),c_Set_Oinsert(X1,X4,X3),tc_fun(X3,tc_bool))=c_Set_Oinsert(X1,c_Lattices_Olower__semilattice__class_Oinf(X2,X4,tc_fun(X3,tc_bool)),X3))).
% 2.75/0.80 cnf(i_0_711, 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))).
% 2.75/0.80 cnf(i_0_532, 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))).
% 2.75/0.80 cnf(i_0_773, 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))).
% 2.75/0.80 cnf(i_0_840, 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))).
% 2.75/0.80 cnf(i_0_836, plain, (c_HOL_Ominus__class_Ominus(c_Lattices_Olower__semilattice__class_Oinf(X1,X2,tc_fun(X3,tc_bool)),X4,tc_fun(X3,tc_bool))=c_Lattices_Olower__semilattice__class_Oinf(X1,c_HOL_Ominus__class_Ominus(X2,X4,tc_fun(X3,tc_bool)),tc_fun(X3,tc_bool)))).
% 2.75/0.80 cnf(i_0_622, plain, (c_Lattices_Olower__semilattice__class_Oinf(c_Lattices_Olower__semilattice__class_Oinf(X1,X2,tc_fun(X3,tc_bool)),X4,tc_fun(X3,tc_bool))=c_Lattices_Olower__semilattice__class_Oinf(X1,c_Lattices_Olower__semilattice__class_Oinf(X2,X4,tc_fun(X3,tc_bool)),tc_fun(X3,tc_bool)))).
% 2.75/0.80 cnf(i_0_550, plain, (c_Lattices_Oupper__semilattice__class_Osup(c_Lattices_Oupper__semilattice__class_Osup(X1,X2,tc_fun(X3,tc_bool)),X4,tc_fun(X3,tc_bool))=c_Lattices_Oupper__semilattice__class_Osup(X1,c_Lattices_Oupper__semilattice__class_Osup(X2,X4,tc_fun(X3,tc_bool)),tc_fun(X3,tc_bool)))).
% 2.75/0.80 cnf(i_0_854, plain, (c_Lattices_Oupper__semilattice__class_Osup(c_Set_Oimage(X1,X2,X3,X4),c_Set_Oimage(X1,X5,X3,X4),tc_fun(X4,tc_bool))=c_Set_Oimage(X1,c_Lattices_Oupper__semilattice__class_Osup(X2,X5,tc_fun(X3,tc_bool)),X3,X4))).
% 2.75/0.80 cnf(i_0_573, plain, (c_HOL_Ominus__class_Ominus(c_Set_Ovimage(X1,X2,X3,X4),c_Set_Ovimage(X1,X5,X3,X4),tc_fun(X3,tc_bool))=c_Set_Ovimage(X1,c_HOL_Ominus__class_Ominus(X2,X5,tc_fun(X4,tc_bool)),X3,X4))).
% 2.75/0.80 cnf(i_0_735, plain, (c_Lattices_Olower__semilattice__class_Oinf(c_Set_Ovimage(X1,X2,X3,X4),c_Set_Ovimage(X1,X5,X3,X4),tc_fun(X3,tc_bool))=c_Set_Ovimage(X1,c_Lattices_Olower__semilattice__class_Oinf(X2,X5,tc_fun(X4,tc_bool)),X3,X4))).
% 2.75/0.80 cnf(i_0_723, plain, (c_Lattices_Oupper__semilattice__class_Osup(c_Set_Ovimage(X1,X2,X3,X4),c_Set_Ovimage(X1,X5,X3,X4),tc_fun(X3,tc_bool))=c_Set_Ovimage(X1,c_Lattices_Oupper__semilattice__class_Osup(X2,X5,tc_fun(X4,tc_bool)),X3,X4))).
% 2.75/0.80 cnf(i_0_578, plain, (c_HOL_Ominus__class_Ominus(c_HOL_Ominus__class_Ominus(X1,X2,tc_fun(X3,tc_bool)),c_Set_Oinsert(X4,c_Orderings_Obot__class_Obot(tc_fun(X3,tc_bool)),X3),tc_fun(X3,tc_bool))=c_HOL_Ominus__class_Ominus(X1,c_Set_Oinsert(X4,X2,X3),tc_fun(X3,tc_bool)))).
% 2.75/0.80 cnf(i_0_579, plain, (c_HOL_Ominus__class_Ominus(c_HOL_Ominus__class_Ominus(X1,c_Set_Oinsert(X2,c_Orderings_Obot__class_Obot(tc_fun(X3,tc_bool)),X3),tc_fun(X3,tc_bool)),X4,tc_fun(X3,tc_bool))=c_HOL_Ominus__class_Ominus(X1,c_Set_Oinsert(X2,X4,X3),tc_fun(X3,tc_bool)))).
% 2.75/0.80 cnf(i_0_845, plain, (c_Lattices_Oupper__semilattice__class_Osup(c_HOL_Ominus__class_Ominus(X1,X2,tc_fun(X3,tc_bool)),c_HOL_Ominus__class_Ominus(X1,X4,tc_fun(X3,tc_bool)),tc_fun(X3,tc_bool))=c_HOL_Ominus__class_Ominus(X1,c_Lattices_Olower__semilattice__class_Oinf(X2,X4,tc_fun(X3,tc_bool)),tc_fun(X3,tc_bool)))).
% 2.75/0.80 cnf(i_0_634, plain, (c_Lattices_Olower__semilattice__class_Oinf(X1,c_HOL_Ominus__class_Ominus(X2,c_Lattices_Olower__semilattice__class_Oinf(X1,X3,tc_fun(X4,tc_bool)),tc_fun(X4,tc_bool)),tc_fun(X4,tc_bool))=c_Lattices_Olower__semilattice__class_Oinf(X1,c_HOL_Ominus__class_Ominus(X2,X3,tc_fun(X4,tc_bool)),tc_fun(X4,tc_bool)))).
% 2.75/0.80 cnf(i_0_524, plain, (c_Lattices_Oupper__semilattice__class_Osup(c_Lattices_Olower__semilattice__class_Oinf(X1,X2,tc_fun(X3,tc_bool)),c_Lattices_Olower__semilattice__class_Oinf(X1,X4,tc_fun(X3,tc_bool)),tc_fun(X3,tc_bool))=c_Lattices_Olower__semilattice__class_Oinf(X1,c_Lattices_Oupper__semilattice__class_Osup(X2,X4,tc_fun(X3,tc_bool)),tc_fun(X3,tc_bool)))).
% 2.75/0.80 cnf(i_0_796, plain, (c_Lattices_Olower__semilattice__class_Oinf(c_Lattices_Oupper__semilattice__class_Osup(X1,X2,tc_fun(X3,tc_bool)),c_Lattices_Oupper__semilattice__class_Osup(X1,X4,tc_fun(X3,tc_bool)),tc_fun(X3,tc_bool))=c_Lattices_Oupper__semilattice__class_Osup(X1,c_Lattices_Olower__semilattice__class_Oinf(X2,X4,tc_fun(X3,tc_bool)),tc_fun(X3,tc_bool)))).
% 2.75/0.80 cnf(i_0_702, plain, (c_Lattices_Oupper__semilattice__class_Osup(c_HOL_Ominus__class_Ominus(X1,X2,tc_fun(X3,tc_bool)),c_HOL_Ominus__class_Ominus(X4,X2,tc_fun(X3,tc_bool)),tc_fun(X3,tc_bool))=c_HOL_Ominus__class_Ominus(c_Lattices_Oupper__semilattice__class_Osup(X1,X4,tc_fun(X3,tc_bool)),X2,tc_fun(X3,tc_bool)))).
% 2.75/0.80 cnf(i_0_523, plain, (c_Lattices_Oupper__semilattice__class_Osup(c_Lattices_Olower__semilattice__class_Oinf(X1,X2,tc_fun(X3,tc_bool)),c_Lattices_Olower__semilattice__class_Oinf(X4,X2,tc_fun(X3,tc_bool)),tc_fun(X3,tc_bool))=c_Lattices_Olower__semilattice__class_Oinf(c_Lattices_Oupper__semilattice__class_Osup(X1,X4,tc_fun(X3,tc_bool)),X2,tc_fun(X3,tc_bool)))).
% 2.75/0.80 cnf(i_0_797, plain, (c_Lattices_Olower__semilattice__class_Oinf(c_Lattices_Oupper__semilattice__class_Osup(X1,X2,tc_fun(X3,tc_bool)),c_Lattices_Oupper__semilattice__class_Osup(X4,X2,tc_fun(X3,tc_bool)),tc_fun(X3,tc_bool))=c_Lattices_Oupper__semilattice__class_Osup(c_Lattices_Olower__semilattice__class_Oinf(X1,X4,tc_fun(X3,tc_bool)),X2,tc_fun(X3,tc_bool)))).
% 2.75/0.80 cnf(i_0_639, plain, (c_Lattices_Olower__semilattice__class_Oinf(c_HOL_Ominus__class_Ominus(X1,X2,tc_fun(X3,tc_bool)),X4,tc_fun(X3,tc_bool))=c_Lattices_Olower__semilattice__class_Oinf(X1,c_HOL_Ominus__class_Ominus(X4,X2,tc_fun(X3,tc_bool)),tc_fun(X3,tc_bool)))).
% 2.75/0.80 cnf(i_0_635, plain, (c_Lattices_Olower__semilattice__class_Oinf(X1,c_HOL_Ominus__class_Ominus(X2,c_Lattices_Olower__semilattice__class_Oinf(X3,X2,tc_fun(X4,tc_bool)),tc_fun(X4,tc_bool)),tc_fun(X4,tc_bool))=c_Lattices_Olower__semilattice__class_Oinf(X1,c_HOL_Ominus__class_Ominus(X2,X3,tc_fun(X4,tc_bool)),tc_fun(X4,tc_bool)))).
% 2.75/0.80 cnf(i_0_835, plain, (c_Lattices_Olower__semilattice__class_Oinf(X1,c_HOL_Ominus__class_Ominus(c_HOL_Ominus__class_Ominus(X1,X2,tc_fun(X3,tc_bool)),X4,tc_fun(X3,tc_bool)),tc_fun(X3,tc_bool))=c_HOL_Ominus__class_Ominus(X1,c_Lattices_Oupper__semilattice__class_Osup(X4,X2,tc_fun(X3,tc_bool)),tc_fun(X3,tc_bool)))).
% 2.75/0.80 cnf(i_0_846, plain, (c_Lattices_Oupper__semilattice__class_Osup(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(X1,X2,X3,tc_fun(X4,tc_bool)),c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(X5,X2,X3,tc_fun(X4,tc_bool)),tc_fun(X4,tc_bool))=c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(c_Lattices_Oupper__semilattice__class_Osup(X1,X5,tc_fun(X3,tc_bool)),X2,X3,tc_fun(X4,tc_bool)))).
% 2.75/0.80 cnf(i_0_906, plain, (hAPP(c_Lattices_Olower__semilattice__class_Oinf(hAPP(c_COMBC(c_in(t_a),t_a,tc_fun(t_a,tc_bool),tc_bool),X1),hAPP(c_COMBC(c_in(t_a),t_a,tc_fun(t_a,tc_bool),tc_bool),X2),tc_fun(t_a,tc_bool)),v_x)=hAPP(hAPP(c_in(t_a),v_x),c_Lattices_Olower__semilattice__class_Oinf(X1,X2,tc_fun(t_a,tc_bool))))).
% 2.75/0.80 cnf(i_0_907, plain, (hAPP(c_Lattices_Oupper__semilattice__class_Osup(hAPP(c_COMBC(c_in(t_a),t_a,tc_fun(t_a,tc_bool),tc_bool),X1),hAPP(c_COMBC(c_in(t_a),t_a,tc_fun(t_a,tc_bool),tc_bool),X2),tc_fun(t_a,tc_bool)),v_x)=hAPP(hAPP(c_in(t_a),v_x),c_Lattices_Oupper__semilattice__class_Osup(X1,X2,tc_fun(t_a,tc_bool))))).
% 2.75/0.80 cnf(i_0_567, 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))).
% 2.75/0.80 cnf(i_0_676, plain, (c_Lattices_Oupper__semilattice__class_Osup(c_Lattices_Olower__semilattice__class_Oinf(X1,X2,tc_fun(X3,tc_bool)),c_Lattices_Oupper__semilattice__class_Osup(c_Lattices_Olower__semilattice__class_Oinf(X2,X4,tc_fun(X3,tc_bool)),c_Lattices_Olower__semilattice__class_Oinf(X4,X1,tc_fun(X3,tc_bool)),tc_fun(X3,tc_bool)),tc_fun(X3,tc_bool))=c_Lattices_Olower__semilattice__class_Oinf(c_Lattices_Oupper__semilattice__class_Osup(X1,X2,tc_fun(X3,tc_bool)),c_Lattices_Olower__semilattice__class_Oinf(c_Lattices_Oupper__semilattice__class_Osup(X2,X4,tc_fun(X3,tc_bool)),c_Lattices_Oupper__semilattice__class_Osup(X4,X1,tc_fun(X3,tc_bool)),tc_fun(X3,tc_bool)),tc_fun(X3,tc_bool)))).
% 2.75/0.80 cnf(i_0_734, 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))).
% 2.75/0.80 cnf(i_0_667, plain, (c_Lattices_Olower__semilattice__class_Oinf(X1,X2,tc_fun(X3,tc_bool))=c_Lattices_Olower__semilattice__class_Oinf(X2,X1,tc_fun(X3,tc_bool)))).
% 2.75/0.80 cnf(i_0_706, plain, (c_Lattices_Oupper__semilattice__class_Osup(X1,X2,tc_fun(X3,tc_bool))=c_Lattices_Oupper__semilattice__class_Osup(X2,X1,tc_fun(X3,tc_bool)))).
% 2.75/0.80 cnf(i_0_533, plain, (c_Set_Oinsert(X1,c_Set_Oinsert(X2,X3,X4),X4)=c_Set_Oinsert(X2,c_Set_Oinsert(X1,X3,X4),X4))).
% 2.75/0.80 cnf(i_0_776, plain, (c_Set_Oimage(X1,c_Set_Oinsert(X2,X3,X4),X4,X5)=c_Set_Oinsert(hAPP(X1,X2),c_Set_Oimage(X1,X3,X4,X5),X5))).
% 2.75/0.80 cnf(i_0_810, plain, (c_Set_Oimage(c_Fun_Ocomp(X1,X2,X3,X4,X5),X6,X5,X4)=c_Set_Oimage(X1,c_Set_Oimage(X2,X6,X5,X3),X3,X4))).
% 2.75/0.80 cnf(i_0_705, plain, (c_Set_Ovimage(c_Fun_Ocomp(X1,X2,X3,X4,X5),X6,X5,X4)=c_Set_Ovimage(X2,c_Set_Ovimage(X1,X6,X3,X4),X5,X3))).
% 2.75/0.80 cnf(i_0_623, plain, (c_Lattices_Olower__semilattice__class_Oinf(X1,c_Lattices_Olower__semilattice__class_Oinf(X2,X3,tc_fun(X4,tc_bool)),tc_fun(X4,tc_bool))=c_Lattices_Olower__semilattice__class_Oinf(X2,c_Lattices_Olower__semilattice__class_Oinf(X1,X3,tc_fun(X4,tc_bool)),tc_fun(X4,tc_bool)))).
% 2.75/0.80 cnf(i_0_549, plain, (c_Lattices_Oupper__semilattice__class_Osup(X1,c_Lattices_Oupper__semilattice__class_Osup(X2,X3,tc_fun(X4,tc_bool)),tc_fun(X4,tc_bool))=c_Lattices_Oupper__semilattice__class_Osup(X2,c_Lattices_Oupper__semilattice__class_Osup(X1,X3,tc_fun(X4,tc_bool)),tc_fun(X4,tc_bool)))).
% 2.75/0.80 cnf(i_0_786, 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))).
% 2.75/0.80 cnf(i_0_862, 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))).
% 2.75/0.80 cnf(i_0_661, plain, (c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(c_Set_Oinsert(X1,X2,X3),X4,X3,tc_fun(X5,tc_bool))=c_Lattices_Oupper__semilattice__class_Osup(hAPP(X4,X1),c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(X2,X4,X3,tc_fun(X5,tc_bool)),tc_fun(X5,tc_bool)))).
% 2.75/0.80 cnf(i_0_931, 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)))).
% 2.75/0.80 cnf(i_0_511, 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)))).
% 2.75/0.80 cnf(i_0_728, plain, (c_Com_Ocom_OBODY(X1)!=c_Com_Ocom_OSKIP)).
% 2.75/0.80 cnf(i_0_814, plain, (c_Suc(X1)!=X1)).
% 2.75/0.80 cnf(i_0_660, plain, (c_Com_Ocom_OAss(X1,X2)!=c_Com_Ocom_OSKIP)).
% 2.75/0.80 cnf(i_0_863, plain, (c_Com_Ocom_OSemi(X1,X2)!=c_Com_Ocom_OSKIP)).
% 2.75/0.80 cnf(i_0_917, plain, (c_Com_Ocom_OWhile(X1,X2)!=c_Com_Ocom_OSKIP)).
% 2.75/0.80 cnf(i_0_799, plain, (~c_lessequals(c_Suc(X1),X1,tc_nat))).
% 2.75/0.80 cnf(i_0_807, plain, (c_Com_Ocom_OCall(X1,X2,X3)!=c_Com_Ocom_OSKIP)).
% 2.75/0.80 cnf(i_0_636, plain, (c_Com_Ocom_OLocal(X1,X2,X3)!=c_Com_Ocom_OSKIP)).
% 2.75/0.80 cnf(i_0_671, plain, (c_Com_Ocom_OCond(X1,X2,X3)!=c_Com_Ocom_OSKIP)).
% 2.75/0.80 cnf(i_0_589, plain, (c_Com_Ocom_OBODY(X1)!=c_Com_Ocom_OAss(X2,X3))).
% 2.75/0.80 cnf(i_0_519, plain, (c_Com_Ocom_OBODY(X1)!=c_Com_Ocom_OSemi(X2,X3))).
% 2.75/0.80 cnf(i_0_924, plain, (c_Com_Ocom_OBODY(X1)!=c_Com_Ocom_OWhile(X2,X3))).
% 2.75/0.80 cnf(i_0_512, plain, (c_Com_Ocom_OSemi(X1,X2)!=c_Com_Ocom_OAss(X3,X4))).
% 2.75/0.80 cnf(i_0_633, plain, (~hBOOL(hAPP(c_Orderings_Obot__class_Obot(tc_fun(X1,tc_bool)),X2)))).
% 2.75/0.80 cnf(i_0_919, plain, (c_Com_Ocom_OWhile(X1,X2)!=c_Com_Ocom_OAss(X3,X4))).
% 2.75/0.80 cnf(i_0_921, plain, (c_Com_Ocom_OWhile(X1,X2)!=c_Com_Ocom_OSemi(X3,X4))).
% 2.75/0.80 cnf(i_0_679, plain, (c_Com_Ocom_OBODY(X1)!=c_Com_Ocom_OCall(X2,X3,X4))).
% 2.75/0.80 cnf(i_0_569, plain, (c_Com_Ocom_OBODY(X1)!=c_Com_Ocom_OLocal(X2,X3,X4))).
% 2.75/0.80 cnf(i_0_617, plain, (c_Com_Ocom_OBODY(X1)!=c_Com_Ocom_OCond(X2,X3,X4))).
% 2.75/0.80 cnf(i_0_673, plain, (c_Com_Ocom_OAss(X1,X2)!=c_Com_Ocom_OCall(X3,X4,X5))).
% 2.75/0.80 cnf(i_0_609, plain, (c_Com_Ocom_OAss(X1,X2)!=c_Com_Ocom_OLocal(X3,X4,X5))).
% 2.75/0.80 cnf(i_0_632, plain, (c_Com_Ocom_OAss(X1,X2)!=c_Com_Ocom_OCond(X3,X4,X5))).
% 2.75/0.80 cnf(i_0_724, plain, (c_Com_Ocom_OSemi(X1,X2)!=c_Com_Ocom_OCall(X3,X4,X5))).
% 2.75/0.80 cnf(i_0_916, plain, (c_Com_Ocom_OWhile(X1,X2)!=c_Com_Ocom_OCall(X3,X4,X5))).
% 2.75/0.80 cnf(i_0_923, plain, (c_Com_Ocom_OWhile(X1,X2)!=c_Com_Ocom_OLocal(X3,X4,X5))).
% 2.75/0.80 cnf(i_0_582, plain, (c_Com_Ocom_OSemi(X1,X2)!=c_Com_Ocom_OLocal(X3,X4,X5))).
% 2.75/0.80 cnf(i_0_580, plain, (c_Com_Ocom_OSemi(X1,X2)!=c_Com_Ocom_OCond(X3,X4,X5))).
% 2.75/0.80 cnf(i_0_930, plain, (c_Com_Ocom_OWhile(X1,X2)!=c_Com_Ocom_OCond(X3,X4,X5))).
% 2.75/0.80 cnf(i_0_745, plain, (~hBOOL(hAPP(hAPP(c_in(X1),X2),c_Orderings_Obot__class_Obot(tc_fun(X1,tc_bool)))))).
% 2.75/0.80 cnf(i_0_581, plain, (c_Set_Oinsert(X1,X2,X3)!=c_Orderings_Obot__class_Obot(tc_fun(X3,tc_bool)))).
% 2.75/0.80 cnf(i_0_680, plain, (c_Com_Ocom_OLocal(X1,X2,X3)!=c_Com_Ocom_OCall(X4,X5,X6))).
% 2.75/0.80 cnf(i_0_602, plain, (c_Com_Ocom_OCond(X1,X2,X3)!=c_Com_Ocom_OCall(X4,X5,X6))).
% 2.75/0.80 cnf(i_0_515, plain, (c_Com_Ocom_OCond(X1,X2,X3)!=c_Com_Ocom_OLocal(X4,X5,X6))).
% 2.75/0.80 cnf(i_0_710, plain, (X1=X2|c_Com_Ocom_OBODY(X1)!=c_Com_Ocom_OBODY(X2))).
% 2.75/0.80 cnf(i_0_973, negated_conjecture, (hBOOL(hAPP(v_b,v_s2))|~hBOOL(hAPP(hAPP(v_P,v_xb),v_s2)))).
% 2.75/0.80 cnf(i_0_607, plain, (X1=X2|c_Suc(X1)!=c_Suc(X2))).
% 2.75/0.80 cnf(i_0_864, plain, (c_lessequals(X1,X2,tc_nat)|c_lessequals(X2,X1,tc_nat))).
% 2.75/0.80 cnf(i_0_972, negated_conjecture, (c_Hoare__Mirabelle_Otriple__valid(v_na,X1,t_a)|~hBOOL(hAPP(hAPP(c_in(tc_Hoare__Mirabelle_Otriple(t_a)),X1),v_G)))).
% 2.75/0.80 cnf(i_0_961, plain, (hBOOL(hAPP(hAPP(c_in(X1),X2),X3))|~hBOOL(hAPP(X3,X2)))).
% 2.75/0.80 cnf(i_0_928, plain, (c_Com_OWT(c_Com_Ocom_OWhile(X1,X2))|~c_Com_OWT(X2))).
% 2.75/0.80 cnf(i_0_984, plain, (class_Complete__Lattice_Ocomplete__lattice(tc_fun(X1,X2))|~class_Complete__Lattice_Ocomplete__lattice(X2))).
% 2.75/0.80 cnf(i_0_990, plain, (class_Lattices_Olattice(tc_fun(X1,X2))|~class_Lattices_Olattice(X2))).
% 2.75/0.80 cnf(i_0_987, plain, (class_Lattices_Odistrib__lattice(tc_fun(X1,X2))|~class_Lattices_Odistrib__lattice(X2))).
% 2.75/0.80 cnf(i_0_985, plain, (class_Lattices_Oupper__semilattice(tc_fun(X1,X2))|~class_Lattices_Olattice(X2))).
% 2.75/0.80 cnf(i_0_986, plain, (class_Lattices_Olower__semilattice(tc_fun(X1,X2))|~class_Lattices_Olattice(X2))).
% 2.75/0.80 cnf(i_0_962, plain, (hBOOL(hAPP(X1,X2))|~hBOOL(hAPP(hAPP(c_in(X3),X2),X1)))).
% 2.75/0.80 cnf(i_0_977, negated_conjecture, (c_Com_Ocom_OWhile(v_b,v_c)!=v_c|~c_Hoare__Mirabelle_Otriple__valid(v_na,v_x,t_a)|~hBOOL(hAPP(hAPP(v_P,X1),v_s0))|~hBOOL(hAPP(v_b,v_s1)))).
% 2.75/0.80 cnf(i_0_929, plain, (c_Com_OWT(X1)|~c_Com_OWT(c_Com_Ocom_OWhile(X2,X1)))).
% 2.75/0.80 cnf(i_0_992, plain, (class_Orderings_Obot(tc_fun(X1,X2))|~class_Orderings_Obot(X2))).
% 2.75/0.80 cnf(i_0_988, plain, (class_Lattices_Obounded__lattice(tc_fun(X1,X2))|~class_Lattices_Obounded__lattice(X2))).
% 2.75/0.80 cnf(i_0_991, plain, (class_Orderings_Oorder(tc_fun(X1,X2))|~class_Orderings_Oorder(X2))).
% 2.75/0.80 cnf(i_0_993, plain, (class_HOL_Ominus(tc_fun(X1,X2))|~class_HOL_Ominus(X2))).
% 2.75/0.80 cnf(i_0_989, plain, (class_Orderings_Opreorder(tc_fun(X1,X2))|~class_Orderings_Opreorder(X2))).
% 2.75/0.80 cnf(i_0_830, plain, (c_lessequals(X1,X1,X2)|~class_Orderings_Oorder(X2))).
% 2.75/0.80 cnf(i_0_831, plain, (c_lessequals(X1,X1,X2)|~class_Orderings_Opreorder(X2))).
% 2.75/0.80 cnf(i_0_682, plain, (c_lessequals(c_Suc(X1),X2,tc_nat)|c_lessequals(X2,X1,tc_nat))).
% 2.75/0.80 cnf(i_0_981, negated_conjecture, (~c_Hoare__Mirabelle_Otriple__valid(v_na,v_xa,t_a)|~hBOOL(hAPP(hAPP(v_P,X1),v_s1))|~hBOOL(hAPP(v_b,v_s2)))).
% 2.75/0.80 cnf(i_0_965, plain, (X1=X2|c_Com_Ocom_OWhile(X3,X1)!=c_Com_Ocom_OWhile(X4,X2))).
% 2.75/0.80 cnf(i_0_736, plain, (X1=X2|~c_Natural_Oevalc(c_Com_Ocom_OSKIP,X2,X1))).
% 2.75/0.80 cnf(i_0_575, plain, (c_lessequals(c_Orderings_Obot__class_Obot(X1),X2,X1)|~class_Orderings_Obot(X1))).
% 2.75/0.80 cnf(i_0_718, plain, (c_Com_OWT(c_Com_Ocom_OLocal(X1,X2,X3))|~c_Com_OWT(X3))).
% 2.75/0.80 cnf(i_0_922, plain, (c_Natural_Oevalc(c_Com_Ocom_OWhile(X1,X2),X3,X3)|hBOOL(hAPP(X1,X3)))).
% 2.75/0.80 cnf(i_0_681, plain, (~c_lessequals(c_Suc(X1),X2,tc_nat)|~c_lessequals(X2,X1,tc_nat))).
% 2.75/0.80 cnf(i_0_964, plain, (X1=X2|c_Com_Ocom_OWhile(X1,X3)!=c_Com_Ocom_OWhile(X2,X4))).
% 2.75/0.80 cnf(i_0_976, negated_conjecture, (hBOOL(hAPP(hAPP(v_P,X1),v_s1))|c_Com_Ocom_OWhile(v_b,v_c)!=v_c|~c_Hoare__Mirabelle_Otriple__valid(v_na,v_x,t_a)|~hBOOL(hAPP(hAPP(v_P,X1),v_s0)))).
% 2.75/0.80 cnf(i_0_943, plain, (X1=X2|~c_Natural_Oevaln(c_Com_Ocom_OSKIP,X2,X3,X1))).
% 2.75/0.80 cnf(i_0_816, plain, (c_Lattices_Olower__semilattice__class_Oinf(X1,X1,X2)=X1|~class_Lattices_Olower__semilattice(X2))).
% 2.75/0.80 cnf(i_0_530, plain, (c_Lattices_Oupper__semilattice__class_Osup(X1,X1,X2)=X1|~class_Lattices_Oupper__semilattice(X2))).
% 2.75/0.80 cnf(i_0_665, plain, (c_Com_OWT(X1)|~c_Com_OWT(c_Com_Ocom_OSemi(X2,X1)))).
% 2.75/0.80 cnf(i_0_766, plain, (c_Com_OWT(X1)|~c_Com_OWT(c_Com_Ocom_OSemi(X1,X2)))).
% 2.75/0.80 cnf(i_0_980, negated_conjecture, (hBOOL(hAPP(hAPP(v_P,X1),v_s2))|~c_Hoare__Mirabelle_Otriple__valid(v_na,v_xa,t_a)|~hBOOL(hAPP(hAPP(v_P,X1),v_s1)))).
% 2.75/0.80 cnf(i_0_975, negated_conjecture, (hBOOL(hAPP(hAPP(c_in(tc_Hoare__Mirabelle_Otriple(t_a)),v_x),v_G))|c_Com_Ocom_OWhile(v_b,v_c)!=v_c|~hBOOL(hAPP(hAPP(v_P,X1),v_s0))|~hBOOL(hAPP(v_b,v_s1)))).
% 2.75/0.80 cnf(i_0_1014, plain, (X1=X2|~c_fequal(X1,X2,X3))).
% 2.75/0.80 cnf(i_0_960, plain, (c_Natural_Oevaln(c_Com_Ocom_OWhile(X1,X2),X3,X4,X3)|hBOOL(hAPP(X1,X3)))).
% 2.75/0.80 cnf(i_0_625, plain, (c_Lattices_Oupper__semilattice__class_Osup(X1,c_Orderings_Obot__class_Obot(X2),X2)=X1|~class_Lattices_Obounded__lattice(X2))).
% 2.75/0.80 cnf(i_0_626, plain, (c_Lattices_Oupper__semilattice__class_Osup(c_Orderings_Obot__class_Obot(X1),X2,X1)=X2|~class_Lattices_Obounded__lattice(X1))).
% 2.75/0.80 cnf(i_0_565, plain, (c_lessequals(X1,c_Lattices_Oupper__semilattice__class_Osup(X2,X1,X3),X3)|~class_Lattices_Olattice(X3))).
% 2.75/0.80 cnf(i_0_562, plain, (c_lessequals(X1,c_Lattices_Oupper__semilattice__class_Osup(X2,X1,X3),X3)|~class_Lattices_Oupper__semilattice(X3))).
% 2.75/0.80 cnf(i_0_666, plain, (c_lessequals(X1,c_Lattices_Oupper__semilattice__class_Osup(X1,X2,X3),X3)|~class_Lattices_Olattice(X3))).
% 2.75/0.80 cnf(i_0_979, negated_conjecture, (hBOOL(hAPP(hAPP(c_in(tc_Hoare__Mirabelle_Otriple(t_a)),v_xa),v_G))|~hBOOL(hAPP(hAPP(v_P,X1),v_s1))|~hBOOL(hAPP(v_b,v_s2)))).
% 2.75/0.80 cnf(i_0_974, negated_conjecture, (hBOOL(hAPP(hAPP(c_in(tc_Hoare__Mirabelle_Otriple(t_a)),v_x),v_G))|hBOOL(hAPP(hAPP(v_P,X1),v_s1))|c_Com_Ocom_OWhile(v_b,v_c)!=v_c|~hBOOL(hAPP(hAPP(v_P,X1),v_s0)))).
% 2.75/0.80 cnf(i_0_568, plain, (hAPP(c_Orderings_Obot__class_Obot(tc_fun(t_a,X1)),v_x)=c_Orderings_Obot__class_Obot(X1)|~class_Orderings_Obot(X1))).
% 2.75/0.80 cnf(i_0_806, plain, (c_Com_OWT(c_Com_Ocom_OSemi(X1,X2))|~c_Com_OWT(X2)|~c_Com_OWT(X1))).
% 2.75/0.80 cnf(i_0_561, plain, (c_lessequals(X1,c_Lattices_Oupper__semilattice__class_Osup(X1,X2,X3),X3)|~class_Lattices_Oupper__semilattice(X3))).
% 2.75/0.80 cnf(i_0_780, plain, (c_lessequals(c_Lattices_Olower__semilattice__class_Oinf(X1,X2,X3),X2,X3)|~class_Lattices_Olattice(X3))).
% 2.75/0.80 cnf(i_0_784, plain, (c_lessequals(c_Lattices_Olower__semilattice__class_Oinf(X1,X2,X3),X2,X3)|~class_Lattices_Olower__semilattice(X3))).
% 2.75/0.80 cnf(i_0_779, plain, (c_lessequals(c_Lattices_Olower__semilattice__class_Oinf(X1,X2,X3),X1,X3)|~class_Lattices_Olattice(X3))).
% 2.75/0.80 cnf(i_0_785, plain, (c_lessequals(c_Lattices_Olower__semilattice__class_Oinf(X1,X2,X3),X1,X3)|~class_Lattices_Olower__semilattice(X3))).
% 2.75/0.80 cnf(i_0_558, plain, (c_Com_OWT(c_Com_Ocom_OCall(X1,X2,X3))|~c_Com_OWT(c_Com_Ocom_OBODY(X2)))).
% 2.75/0.80 cnf(i_0_591, plain, (c_Lattices_Olower__semilattice__class_Oinf(X1,c_Orderings_Obot__class_Obot(X2),X2)=c_Orderings_Obot__class_Obot(X2)|~class_Lattices_Obounded__lattice(X2))).
% 2.75/0.80 cnf(i_0_891, plain, (c_Set_Oinsert(X1,X2,X3)=X2|~hBOOL(hAPP(hAPP(c_in(X3),X1),X2)))).
% 2.75/0.80 cnf(i_0_978, negated_conjecture, (hBOOL(hAPP(hAPP(c_in(tc_Hoare__Mirabelle_Otriple(t_a)),v_xa),v_G))|hBOOL(hAPP(hAPP(v_P,X1),v_s2))|~hBOOL(hAPP(hAPP(v_P,X1),v_s1)))).
% 2.75/0.80 cnf(i_0_719, plain, (c_Com_OWT(X1)|~c_Com_OWT(c_Com_Ocom_OLocal(X2,X3,X1)))).
% 2.75/0.80 cnf(i_0_787, plain, (X1=X2|c_Com_Ocom_OAss(X3,X1)!=c_Com_Ocom_OAss(X4,X2))).
% 2.75/0.80 cnf(i_0_592, plain, (c_Lattices_Olower__semilattice__class_Oinf(c_Orderings_Obot__class_Obot(X1),X2,X1)=c_Orderings_Obot__class_Obot(X1)|~class_Lattices_Obounded__lattice(X1))).
% 2.75/0.80 cnf(i_0_865, plain, (c_lessequals(X1,X2,X3)|c_lessequals(X2,X1,X3)|~class_Orderings_Olinorder(X3))).
% 2.75/0.80 cnf(i_0_860, plain, (c_Com_OWT(X1)|~c_Com_OWT(c_Com_Ocom_OCond(X2,X3,X1)))).
% 2.75/0.80 cnf(i_0_861, plain, (c_Com_OWT(X1)|~c_Com_OWT(c_Com_Ocom_OCond(X2,X1,X3)))).
% 2.75/0.80 cnf(i_0_959, plain, (X1=X2|hBOOL(hAPP(X3,X1))|~c_Natural_Oevaln(c_Com_Ocom_OWhile(X3,X4),X1,X5,X2))).
% 2.75/0.80 cnf(i_0_947, plain, (c_Hoare__Mirabelle_Otriple__valid(X1,X2,X3)|~c_Hoare__Mirabelle_Otriple__valid(c_Suc(X1),X2,X3))).
% 2.75/0.80 cnf(i_0_793, plain, (c_lessequals(X1,c_Suc(X2),tc_nat)|~c_lessequals(X1,X2,tc_nat))).
% 2.75/0.80 cnf(i_0_576, plain, (X1=X2|c_Com_Ocom_OSemi(X3,X1)!=c_Com_Ocom_OSemi(X4,X2))).
% 2.75/0.80 cnf(i_0_669, plain, (c_Lattices_Olower__semilattice__class_Oinf(X1,X2,X3)=c_Lattices_Olower__semilattice__class_Oinf(X2,X1,X3)|~class_Lattices_Olattice(X3))).
% 2.75/0.80 cnf(i_0_668, plain, (c_Lattices_Olower__semilattice__class_Oinf(X1,X2,X3)=c_Lattices_Olower__semilattice__class_Oinf(X2,X1,X3)|~class_Lattices_Olower__semilattice(X3))).
% 2.75/0.80 cnf(i_0_708, plain, (c_Lattices_Oupper__semilattice__class_Osup(X1,X2,X3)=c_Lattices_Oupper__semilattice__class_Osup(X2,X1,X3)|~class_Lattices_Olattice(X3))).
% 2.75/0.80 cnf(i_0_707, plain, (c_Lattices_Oupper__semilattice__class_Osup(X1,X2,X3)=c_Lattices_Oupper__semilattice__class_Osup(X2,X1,X3)|~class_Lattices_Oupper__semilattice(X3))).
% 2.75/0.80 cnf(i_0_792, plain, (c_lessequals(X1,X2,tc_nat)|~c_lessequals(c_Suc(X1),X2,tc_nat))).
% 2.75/0.80 cnf(i_0_788, plain, (X1=X2|c_Com_Ocom_OAss(X1,X3)!=c_Com_Ocom_OAss(X2,X4))).
% 2.75/0.80 cnf(i_0_649, plain, (c_Lattices_Olower__semilattice__class_Oinf(X1,c_Lattices_Oupper__semilattice__class_Osup(X1,X2,X3),X3)=X1|~class_Lattices_Olattice(X3))).
% 2.75/0.80 cnf(i_0_640, plain, (c_Lattices_Oupper__semilattice__class_Osup(X1,c_Lattices_Olower__semilattice__class_Oinf(X1,X2,X3),X3)=X1|~class_Lattices_Olattice(X3))).
% 2.75/0.80 cnf(i_0_613, plain, (c_Com_OWT(c_Com_Ocom_OCond(X1,X2,X3))|~c_Com_OWT(X3)|~c_Com_OWT(X2))).
% 2.75/0.80 cnf(i_0_559, plain, (c_Com_OWT(c_Com_Ocom_OBODY(X1))|~c_Com_OWT(c_Com_Ocom_OCall(X2,X1,X3)))).
% 2.75/0.80 cnf(i_0_577, plain, (X1=X2|c_Com_Ocom_OSemi(X1,X3)!=c_Com_Ocom_OSemi(X2,X4))).
% 2.75/0.80 cnf(i_0_859, plain, (c_lessequals(c_Suc(X1),c_Suc(X2),tc_nat)|~c_lessequals(X1,X2,tc_nat))).
% 2.75/0.80 cnf(i_0_944, plain, (c_Natural_Oevalc(X1,X2,X3)|~c_Natural_Oevaln(X1,X2,X4,X3))).
% 2.75/0.80 cnf(i_0_683, plain, (hBOOL(hAPP(c_Set_Oinsert(X1,X2,X3),X4))|~hBOOL(hAPP(X2,X4)))).
% 2.75/0.80 cnf(i_0_690, plain, (X1=c_Orderings_Obot__class_Obot(X2)|c_Lattices_Oupper__semilattice__class_Osup(X3,X1,X2)!=c_Orderings_Obot__class_Obot(X2)|~class_Lattices_Obounded__lattice(X2))).
% 2.75/0.80 cnf(i_0_800, plain, (c_Lattices_Olower__semilattice__class_Oinf(X1,c_Lattices_Olower__semilattice__class_Oinf(X1,X2,X3),X3)=c_Lattices_Olower__semilattice__class_Oinf(X1,X2,X3)|~class_Lattices_Olattice(X3))).
% 2.75/0.80 cnf(i_0_801, plain, (c_Lattices_Olower__semilattice__class_Oinf(X1,c_Lattices_Olower__semilattice__class_Oinf(X1,X2,X3),X3)=c_Lattices_Olower__semilattice__class_Oinf(X1,X2,X3)|~class_Lattices_Olower__semilattice(X3))).
% 2.75/0.80 cnf(i_0_716, plain, (c_Lattices_Oupper__semilattice__class_Osup(X1,c_Lattices_Oupper__semilattice__class_Osup(X1,X2,X3),X3)=c_Lattices_Oupper__semilattice__class_Osup(X1,X2,X3)|~class_Lattices_Olattice(X3))).
% 2.75/0.80 cnf(i_0_715, plain, (c_Lattices_Oupper__semilattice__class_Osup(X1,c_Lattices_Oupper__semilattice__class_Osup(X1,X2,X3),X3)=c_Lattices_Oupper__semilattice__class_Osup(X1,X2,X3)|~class_Lattices_Oupper__semilattice(X3))).
% 2.75/0.80 cnf(i_0_937, plain, (c_Natural_Oevaln(X1,X2,c_Suc(X3),X4)|~c_Natural_Oevaln(X1,X2,X3,X4))).
% 2.75/0.80 cnf(i_0_587, plain, (X1=X2|hBOOL(hAPP(X3,X1))|~hBOOL(hAPP(c_Set_Oinsert(X2,X3,X4),X1)))).
% 2.75/0.80 cnf(i_0_689, plain, (X1=c_Orderings_Obot__class_Obot(X2)|c_Lattices_Oupper__semilattice__class_Osup(X1,X3,X2)!=c_Orderings_Obot__class_Obot(X2)|~class_Lattices_Obounded__lattice(X2))).
% 2.75/0.80 cnf(i_0_858, plain, (c_lessequals(X1,X2,tc_nat)|~c_lessequals(c_Suc(X1),c_Suc(X2),tc_nat))).
% 2.75/0.80 cnf(i_0_611, plain, (hBOOL(hAPP(c_Lattices_Oupper__semilattice__class_Osup(X1,X2,tc_fun(X3,tc_bool)),X4))|~hBOOL(hAPP(X2,X4)))).
% 2.75/0.80 cnf(i_0_612, plain, (hBOOL(hAPP(c_Lattices_Oupper__semilattice__class_Osup(X1,X2,tc_fun(X3,tc_bool)),X4))|~hBOOL(hAPP(X1,X4)))).
% 2.75/0.80 cnf(i_0_848, plain, (hBOOL(hAPP(c_Set_Ovimage(X1,X2,X3,X4),X5))|~hBOOL(hAPP(X2,hAPP(X1,X5))))).
% 2.75/0.80 cnf(i_0_847, plain, (hBOOL(hAPP(X1,hAPP(X2,X3)))|~hBOOL(hAPP(c_Set_Ovimage(X2,X1,X4,X5),X3)))).
% 2.75/0.80 cnf(i_0_643, plain, (X1=X2|~c_lessequals(X2,X1,tc_nat)|~c_lessequals(X1,X2,tc_nat))).
% 2.75/0.80 cnf(i_0_557, plain, (c_Lattices_Olower__semilattice__class_Oinf(X1,X2,X3)=X2|~class_Lattices_Olower__semilattice(X3)|~c_lessequals(X2,X1,X3))).
% 2.75/0.80 cnf(i_0_725, plain, (X1=c_Suc(X2)|c_lessequals(X1,X2,tc_nat)|~c_lessequals(X1,c_Suc(X2),tc_nat))).
% 2.75/0.80 cnf(i_0_555, plain, (c_Lattices_Olower__semilattice__class_Oinf(X1,X2,X3)=X1|~class_Lattices_Olower__semilattice(X3)|~c_lessequals(X1,X2,X3))).
% 2.75/0.80 cnf(i_0_765, plain, (hBOOL(hAPP(hAPP(c_in(X1),X2),c_SetInterval_Oord_OatMost(X3,X4,X1)))|~hBOOL(hAPP(hAPP(X3,X2),X4)))).
% 2.75/0.80 cnf(i_0_876, plain, (hBOOL(hAPP(hAPP(c_in(X1),X2),c_SetInterval_Oord_OgreaterThan(X3,X4,X1)))|~hBOOL(hAPP(hAPP(X3,X4),X2)))).
% 2.75/0.80 cnf(i_0_912, plain, (X1=X2|hBOOL(hAPP(X3,X1))|~c_Natural_Oevalc(c_Com_Ocom_OWhile(X3,X4),X1,X2))).
% 2.75/0.80 cnf(i_0_653, plain, (c_Lattices_Oupper__semilattice__class_Osup(X1,X2,X3)=X2|~class_Lattices_Oupper__semilattice(X3)|~c_lessequals(X1,X2,X3))).
% 2.75/0.80 cnf(i_0_651, plain, (c_Lattices_Oupper__semilattice__class_Osup(X1,X2,X3)=X1|~class_Lattices_Oupper__semilattice(X3)|~c_lessequals(X2,X1,X3))).
% 2.75/0.80 cnf(i_0_751, plain, (~hBOOL(hAPP(hAPP(c_in(X1),X2),c_HOL_Ominus__class_Ominus(X3,X4,tc_fun(X1,tc_bool))))|~hBOOL(hAPP(hAPP(c_in(X1),X2),X4)))).
% 2.75/0.80 cnf(i_0_637, plain, (c_Lattices_Olower__semilattice__class_Oinf(X1,X2,tc_fun(X3,tc_bool))!=c_Orderings_Obot__class_Obot(tc_fun(X3,tc_bool))|~hBOOL(hAPP(hAPP(c_in(X3),X4),X1))|~hBOOL(hAPP(hAPP(c_in(X3),X4),X2)))).
% 2.75/0.80 cnf(i_0_892, plain, (hBOOL(hAPP(hAPP(c_in(X1),X2),c_SetInterval_Oord_OlessThan(X3,X4,X1)))|~hBOOL(hAPP(hAPP(X3,X2),X4)))).
% 2.75/0.80 cnf(i_0_877, plain, (hBOOL(hAPP(hAPP(X1,X2),X3))|~hBOOL(hAPP(hAPP(c_in(X4),X3),c_SetInterval_Oord_OgreaterThan(X1,X2,X4))))).
% 2.75/0.80 cnf(i_0_828, plain, (c_lessequals(X1,X2,tc_nat)|~c_lessequals(X3,X2,tc_nat)|~c_lessequals(X1,X3,tc_nat))).
% 2.75/0.80 cnf(i_0_556, plain, (c_lessequals(X1,X2,X3)|c_Lattices_Olower__semilattice__class_Oinf(X1,X2,X3)!=X1|~class_Lattices_Olower__semilattice(X3))).
% 2.75/0.80 cnf(i_0_619, plain, (c_Lattices_Olower__semilattice__class_Oinf(X1,c_Lattices_Olower__semilattice__class_Oinf(X2,X3,X4),X4)=c_Lattices_Olower__semilattice__class_Oinf(X2,c_Lattices_Olower__semilattice__class_Oinf(X1,X3,X4),X4)|~class_Lattices_Olattice(X4))).
% 2.75/0.80 cnf(i_0_620, plain, (c_Lattices_Olower__semilattice__class_Oinf(X1,c_Lattices_Olower__semilattice__class_Oinf(X2,X3,X4),X4)=c_Lattices_Olower__semilattice__class_Oinf(X2,c_Lattices_Olower__semilattice__class_Oinf(X1,X3,X4),X4)|~class_Lattices_Olower__semilattice(X4))).
% 2.75/0.80 cnf(i_0_553, plain, (c_Lattices_Oupper__semilattice__class_Osup(X1,c_Lattices_Oupper__semilattice__class_Osup(X2,X3,X4),X4)=c_Lattices_Oupper__semilattice__class_Osup(X2,c_Lattices_Oupper__semilattice__class_Osup(X1,X3,X4),X4)|~class_Lattices_Olattice(X4))).
% 2.75/0.80 cnf(i_0_552, plain, (c_Lattices_Oupper__semilattice__class_Osup(X1,c_Lattices_Oupper__semilattice__class_Osup(X2,X3,X4),X4)=c_Lattices_Oupper__semilattice__class_Osup(X2,c_Lattices_Oupper__semilattice__class_Osup(X1,X3,X4),X4)|~class_Lattices_Oupper__semilattice(X4))).
% 2.75/0.80 cnf(i_0_833, plain, (X1=c_Orderings_Obot__class_Obot(tc_fun(X2,tc_bool))|c_Set_Oimage(X3,X1,X2,X4)!=c_Orderings_Obot__class_Obot(tc_fun(X4,tc_bool)))).
% 2.75/0.80 cnf(i_0_509, plain, (X1=X2|c_Com_Ocom_OCall(X3,X4,X1)!=c_Com_Ocom_OCall(X5,X6,X2))).
% 2.75/0.80 cnf(i_0_866, plain, (hBOOL(hAPP(hAPP(X1,X2),X3))|~hBOOL(hAPP(hAPP(c_in(X4),X2),c_SetInterval_Oord_OatMost(X1,X3,X4))))).
% 2.75/0.80 cnf(i_0_893, plain, (hBOOL(hAPP(hAPP(X1,X2),X3))|~hBOOL(hAPP(hAPP(c_in(X4),X2),c_SetInterval_Oord_OlessThan(X1,X3,X4))))).
% 2.75/0.80 cnf(i_0_652, plain, (c_lessequals(X1,X2,X3)|c_Lattices_Oupper__semilattice__class_Osup(X1,X2,X3)!=X2|~class_Lattices_Oupper__semilattice(X3))).
% 2.75/0.80 cnf(i_0_803, plain, (X1=X2|c_Com_Ocom_OLocal(X3,X4,X1)!=c_Com_Ocom_OLocal(X5,X6,X2))).
% 2.75/0.80 cnf(i_0_618, plain, (c_Lattices_Olower__semilattice__class_Oinf(c_Lattices_Olower__semilattice__class_Oinf(X1,X2,X3),X4,X3)=c_Lattices_Olower__semilattice__class_Oinf(X1,c_Lattices_Olower__semilattice__class_Oinf(X2,X4,X3),X3)|~class_Lattices_Olattice(X3))).
% 2.75/0.80 cnf(i_0_621, plain, (c_Lattices_Olower__semilattice__class_Oinf(c_Lattices_Olower__semilattice__class_Oinf(X1,X2,X3),X4,X3)=c_Lattices_Olower__semilattice__class_Oinf(X1,c_Lattices_Olower__semilattice__class_Oinf(X2,X4,X3),X3)|~class_Lattices_Olower__semilattice(X3))).
% 2.75/0.80 cnf(i_0_554, plain, (c_Lattices_Oupper__semilattice__class_Osup(c_Lattices_Oupper__semilattice__class_Osup(X1,X2,X3),X4,X3)=c_Lattices_Oupper__semilattice__class_Osup(X1,c_Lattices_Oupper__semilattice__class_Osup(X2,X4,X3),X3)|~class_Lattices_Olattice(X3))).
% 2.75/0.80 cnf(i_0_551, plain, (c_Lattices_Oupper__semilattice__class_Osup(c_Lattices_Oupper__semilattice__class_Osup(X1,X2,X3),X4,X3)=c_Lattices_Oupper__semilattice__class_Osup(X1,c_Lattices_Oupper__semilattice__class_Osup(X2,X4,X3),X3)|~class_Lattices_Oupper__semilattice(X3))).
% 2.75/0.80 cnf(i_0_659, plain, (c_Natural_Oevalc(c_Com_Ocom_OCond(X1,X2,X3),X4,X5)|hBOOL(hAPP(X1,X4))|~c_Natural_Oevalc(X3,X4,X5))).
% 2.75/0.80 cnf(i_0_820, plain, (c_lessequals(X1,c_Lattices_Oupper__semilattice__class_Osup(X2,X3,X4),X4)|~class_Lattices_Oupper__semilattice(X4)|~c_lessequals(X1,X3,X4))).
% 2.75/0.80 cnf(i_0_821, plain, (c_lessequals(X1,c_Lattices_Oupper__semilattice__class_Osup(X2,X3,X4),X4)|~class_Lattices_Oupper__semilattice(X4)|~c_lessequals(X1,X2,X4))).
% 2.75/0.80 cnf(i_0_698, plain, (c_lessequals(c_Lattices_Olower__semilattice__class_Oinf(X1,X2,X3),X4,X3)|~class_Lattices_Olower__semilattice(X3)|~c_lessequals(X2,X4,X3))).
% 2.75/0.80 cnf(i_0_599, plain, (X1=X2|c_Com_Ocom_OCond(X3,X4,X1)!=c_Com_Ocom_OCond(X5,X6,X2))).
% 2.75/0.80 cnf(i_0_508, plain, (X1=X2|c_Com_Ocom_OCall(X3,X1,X4)!=c_Com_Ocom_OCall(X5,X2,X6))).
% 2.75/0.80 cnf(i_0_804, plain, (X1=X2|c_Com_Ocom_OLocal(X3,X1,X4)!=c_Com_Ocom_OLocal(X5,X2,X6))).
% 2.75/0.80 cnf(i_0_740, plain, (hBOOL(hAPP(hAPP(c_in(X1),X2),c_Set_Oinsert(X3,X4,X1)))|~hBOOL(hAPP(hAPP(c_in(X1),X2),X4)))).
% 2.75/0.80 cnf(i_0_644, plain, (X1=X2|~c_Natural_Oevalc(X3,X4,X2)|~c_Natural_Oevalc(X3,X4,X1))).
% 2.75/0.80 cnf(i_0_600, plain, (X1=X2|c_Com_Ocom_OCond(X3,X1,X4)!=c_Com_Ocom_OCond(X5,X2,X6))).
% 2.75/0.80 cnf(i_0_697, plain, (c_lessequals(c_Lattices_Olower__semilattice__class_Oinf(X1,X2,X3),X4,X3)|~class_Lattices_Olower__semilattice(X3)|~c_lessequals(X1,X4,X3))).
% 2.75/0.80 cnf(i_0_694, plain, (hAPP(c_HOL_Ominus__class_Ominus(X1,X2,tc_fun(t_a,X3)),v_x)=c_HOL_Ominus__class_Ominus(hAPP(X1,v_x),hAPP(X2,v_x),X3)|~class_HOL_Ominus(X3))).
% 2.75/0.80 cnf(i_0_824, plain, (hAPP(c_Lattices_Olower__semilattice__class_Oinf(X1,X2,tc_fun(t_a,X3)),v_x)=c_Lattices_Olower__semilattice__class_Oinf(hAPP(X1,v_x),hAPP(X2,v_x),X3)|~class_Lattices_Olattice(X3))).
% 2.75/0.80 cnf(i_0_566, plain, (X1=X2|c_Com_Ocom_OCall(X1,X3,X4)!=c_Com_Ocom_OCall(X2,X5,X6))).
% 2.75/0.80 cnf(i_0_805, plain, (X1=X2|c_Com_Ocom_OLocal(X1,X3,X4)!=c_Com_Ocom_OLocal(X2,X5,X6))).
% 2.75/0.80 cnf(i_0_601, plain, (X1=X2|c_Com_Ocom_OCond(X1,X3,X4)!=c_Com_Ocom_OCond(X2,X5,X6))).
% 2.75/0.80 cnf(i_0_950, 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(hAPP(hAPP(c_in(tc_Hoare__Mirabelle_Otriple(t_a)),X3),X1)))).
% 2.75/0.80 cnf(i_0_749, plain, (X1=X2|hBOOL(hAPP(hAPP(c_in(X3),X1),X4))|~hBOOL(hAPP(hAPP(c_in(X3),X1),c_Set_Oinsert(X2,X4,X3))))).
% 2.75/0.80 cnf(i_0_542, 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))).
% 2.75/0.80 cnf(i_0_522, plain, (hAPP(c_Lattices_Oupper__semilattice__class_Osup(X1,X2,tc_fun(t_a,X3)),v_x)=c_Lattices_Oupper__semilattice__class_Osup(hAPP(X1,v_x),hAPP(X2,v_x),X3)|~class_Lattices_Olattice(X3))).
% 2.75/0.80 cnf(i_0_525, plain, (c_Lattices_Oupper__semilattice__class_Osup(c_Lattices_Olower__semilattice__class_Oinf(X1,X2,X3),c_Lattices_Olower__semilattice__class_Oinf(X1,X4,X3),X3)=c_Lattices_Olower__semilattice__class_Oinf(X1,c_Lattices_Oupper__semilattice__class_Osup(X2,X4,X3),X3)|~class_Lattices_Odistrib__lattice(X3))).
% 2.75/0.80 cnf(i_0_795, plain, (c_Lattices_Olower__semilattice__class_Oinf(c_Lattices_Oupper__semilattice__class_Osup(X1,X2,X3),c_Lattices_Oupper__semilattice__class_Osup(X1,X4,X3),X3)=c_Lattices_Oupper__semilattice__class_Osup(X1,c_Lattices_Olower__semilattice__class_Oinf(X2,X4,X3),X3)|~class_Lattices_Odistrib__lattice(X3))).
% 2.75/0.80 cnf(i_0_730, plain, (hBOOL(hAPP(X1,X2))|~hBOOL(hAPP(c_Lattices_Olower__semilattice__class_Oinf(X3,X1,tc_fun(X4,tc_bool)),X2)))).
% 2.75/0.80 cnf(i_0_731, plain, (hBOOL(hAPP(X1,X2))|~hBOOL(hAPP(c_Lattices_Olower__semilattice__class_Oinf(X1,X3,tc_fun(X4,tc_bool)),X2)))).
% 2.75/0.80 cnf(i_0_546, plain, (c_Natural_Oevalc(X1,X2,X3)|~c_Natural_Oevalc(c_Com_Ocom_OCond(X4,X1,X5),X2,X3)|~hBOOL(hAPP(X4,X2)))).
% 2.75/0.80 cnf(i_0_887, plain, (hBOOL(hAPP(hAPP(X1,X2),X3))|~hBOOL(hAPP(hAPP(c_in(X4),X3),c_SetInterval_Oord_OatLeastAtMost(X1,X2,X5,X4))))).
% 2.75/0.80 cnf(i_0_886, plain, (hBOOL(hAPP(hAPP(X1,X2),X3))|~hBOOL(hAPP(hAPP(c_in(X4),X2),c_SetInterval_Oord_OatLeastAtMost(X1,X5,X3,X4))))).
% 2.75/0.80 cnf(i_0_645, plain, (X1=X2|~class_Orderings_Oorder(X3)|~c_lessequals(X2,X1,X3)|~c_lessequals(X1,X2,X3))).
% 2.75/0.80 cnf(i_0_526, plain, (c_Lattices_Oupper__semilattice__class_Osup(c_Lattices_Olower__semilattice__class_Oinf(X1,X2,X3),c_Lattices_Olower__semilattice__class_Oinf(X4,X2,X3),X3)=c_Lattices_Olower__semilattice__class_Oinf(c_Lattices_Oupper__semilattice__class_Osup(X1,X4,X3),X2,X3)|~class_Lattices_Odistrib__lattice(X3))).
% 2.75/0.80 cnf(i_0_794, plain, (c_Lattices_Olower__semilattice__class_Oinf(c_Lattices_Oupper__semilattice__class_Osup(X1,X2,X3),c_Lattices_Oupper__semilattice__class_Osup(X4,X2,X3),X3)=c_Lattices_Oupper__semilattice__class_Osup(c_Lattices_Olower__semilattice__class_Oinf(X1,X4,X3),X2,X3)|~class_Lattices_Odistrib__lattice(X3))).
% 2.75/0.80 cnf(i_0_935, 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))).
% 2.75/0.80 cnf(i_0_658, plain, (c_Natural_Oevalc(X1,X2,X3)|hBOOL(hAPP(X4,X2))|~c_Natural_Oevalc(c_Com_Ocom_OCond(X4,X5,X1),X2,X3))).
% 2.75/0.80 cnf(i_0_857, 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))).
% 2.75/0.80 cnf(i_0_547, plain, (c_Natural_Oevalc(c_Com_Ocom_OSemi(X1,X2),X3,X4)|~c_Natural_Oevalc(X2,X5,X4)|~c_Natural_Oevalc(X1,X3,X5))).
% 2.75/0.80 cnf(i_0_696, plain, (c_lessequals(X1,X2,X3)|~class_Lattices_Olower__semilattice(X3)|~c_lessequals(X1,c_Lattices_Olower__semilattice__class_Oinf(X4,X2,X3),X3))).
% 2.75/0.80 cnf(i_0_520, plain, (X1=X2|~hBOOL(hAPP(hAPP(c_in(X3),X1),c_Set_Oinsert(X2,c_Orderings_Obot__class_Obot(tc_fun(X3,tc_bool)),X3))))).
% 2.75/0.80 cnf(i_0_879, plain, (hBOOL(hAPP(hAPP(c_in(X1),X2),c_Set_Ovimage(X3,X4,X1,X5)))|~hBOOL(hAPP(hAPP(c_in(X5),hAPP(X3,X2)),X4)))).
% 2.75/0.80 cnf(i_0_849, plain, (hBOOL(hAPP(c_Lattices_Olower__semilattice__class_Oinf(X1,X2,tc_fun(X3,tc_bool)),X4))|~hBOOL(hAPP(X2,X4))|~hBOOL(hAPP(X1,X4)))).
% 2.75/0.80 cnf(i_0_687, plain, (X1=c_Orderings_Obot__class_Obot(tc_fun(X2,tc_bool))|c_Lattices_Oupper__semilattice__class_Osup(X3,X1,tc_fun(X2,tc_bool))!=c_Orderings_Obot__class_Obot(tc_fun(X2,tc_bool)))).
% 2.75/0.80 cnf(i_0_695, plain, (c_lessequals(X1,X2,X3)|~class_Lattices_Olower__semilattice(X3)|~c_lessequals(X1,c_Lattices_Olower__semilattice__class_Oinf(X2,X4,X3),X3))).
% 2.75/0.80 cnf(i_0_818, plain, (c_lessequals(X1,X2,X3)|~class_Lattices_Oupper__semilattice(X3)|~c_lessequals(c_Lattices_Oupper__semilattice__class_Osup(X4,X1,X3),X2,X3))).
% 2.75/0.80 cnf(i_0_819, plain, (c_lessequals(X1,X2,X3)|~class_Lattices_Oupper__semilattice(X3)|~c_lessequals(c_Lattices_Oupper__semilattice__class_Osup(X1,X4,X3),X2,X3))).
% 2.75/0.80 cnf(i_0_685, plain, (c_Lattices_Olower__semilattice__class_Oinf(X1,c_Set_Oinsert(X2,X3,X4),tc_fun(X4,tc_bool))=c_Lattices_Olower__semilattice__class_Oinf(X1,X3,tc_fun(X4,tc_bool))|hBOOL(hAPP(hAPP(c_in(X4),X2),X1)))).
% 2.75/0.80 cnf(i_0_686, plain, (c_Lattices_Olower__semilattice__class_Oinf(c_Set_Oinsert(X1,X2,X3),X4,tc_fun(X3,tc_bool))=c_Lattices_Olower__semilattice__class_Oinf(X2,X4,tc_fun(X3,tc_bool))|hBOOL(hAPP(hAPP(c_in(X3),X1),X4)))).
% 2.75/0.80 cnf(i_0_688, plain, (X1=c_Orderings_Obot__class_Obot(tc_fun(X2,tc_bool))|c_Lattices_Oupper__semilattice__class_Osup(X1,X3,tc_fun(X2,tc_bool))!=c_Orderings_Obot__class_Obot(tc_fun(X2,tc_bool)))).
% 2.75/0.80 cnf(i_0_664, plain, (X1=X2|c_Hoare__Mirabelle_Otriple_Otriple(X3,X4,X1,X5)!=c_Hoare__Mirabelle_Otriple_Otriple(X6,X7,X2,X5))).
% 2.75/0.80 cnf(i_0_663, plain, (X1=X2|c_Hoare__Mirabelle_Otriple_Otriple(X3,X1,X4,X5)!=c_Hoare__Mirabelle_Otriple_Otriple(X6,X2,X7,X5))).
% 2.75/0.80 cnf(i_0_882, plain, (hBOOL(hAPP(hAPP(c_in(X1),hAPP(X2,X3)),X4))|~hBOOL(hAPP(hAPP(c_in(X5),X3),c_Set_Ovimage(X2,X4,X5,X1))))).
% 2.75/0.80 cnf(i_0_610, plain, (hBOOL(hAPP(X1,X2))|hBOOL(hAPP(X3,X2))|~hBOOL(hAPP(c_Lattices_Oupper__semilattice__class_Osup(X3,X1,tc_fun(X4,tc_bool)),X2)))).
% 2.75/0.80 cnf(i_0_825, plain, (c_lessequals(X1,X2,X3)|~class_Orderings_Oorder(X3)|~c_lessequals(X4,X2,X3)|~c_lessequals(X1,X4,X3))).
% 2.75/0.80 cnf(i_0_638, plain, (c_lessequals(c_Lattices_Oupper__semilattice__class_Osup(X1,c_Lattices_Olower__semilattice__class_Oinf(X2,X3,X4),X4),c_Lattices_Olower__semilattice__class_Oinf(c_Lattices_Oupper__semilattice__class_Osup(X1,X2,X4),c_Lattices_Oupper__semilattice__class_Osup(X1,X3,X4),X4),X4)|~class_Lattices_Olattice(X4))).
% 2.75/0.80 cnf(i_0_662, plain, (X1=X2|c_Hoare__Mirabelle_Otriple_Otriple(X1,X3,X4,X5)!=c_Hoare__Mirabelle_Otriple_Otriple(X2,X6,X7,X5))).
% 2.75/0.80 cnf(i_0_675, 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))).
% 2.75/0.80 cnf(i_0_941, 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)))).
% 2.75/0.80 cnf(i_0_940, 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)))).
% 2.75/0.80 cnf(i_0_545, plain, (c_Natural_Oevalc(c_Com_Ocom_OCond(X1,X2,X3),X4,X5)|~c_Natural_Oevalc(X2,X4,X5)|~hBOOL(hAPP(X1,X4)))).
% 2.75/0.80 cnf(i_0_826, plain, (c_lessequals(X1,X2,X3)|~class_Orderings_Opreorder(X3)|~c_lessequals(X4,X2,X3)|~c_lessequals(X1,X4,X3))).
% 2.75/0.80 cnf(i_0_672, plain, (c_lessequals(c_Lattices_Oupper__semilattice__class_Osup(c_Lattices_Olower__semilattice__class_Oinf(X1,X2,X3),c_Lattices_Olower__semilattice__class_Oinf(X1,X4,X3),X3),c_Lattices_Olower__semilattice__class_Oinf(X1,c_Lattices_Oupper__semilattice__class_Osup(X2,X4,X3),X3),X3)|~class_Lattices_Olattice(X3))).
% 2.75/0.80 cnf(i_0_933, plain, (c_Natural_Oevaln(X1,X2,X3,X4)|~c_Natural_Oevaln(X1,X2,X5,X4)|~c_lessequals(X5,X3,tc_nat))).
% 2.75/0.80 cnf(i_0_732, plain, (c_HOL_Ominus__class_Ominus(c_Set_Oinsert(X1,X2,X3),c_Set_Oinsert(X1,c_Orderings_Obot__class_Obot(tc_fun(X3,tc_bool)),X3),tc_fun(X3,tc_bool))=X2|hBOOL(hAPP(hAPP(c_in(X3),X1),X2)))).
% 2.75/0.80 cnf(i_0_850, plain, (c_lessequals(X1,X2,X3)|c_HOL_Ominus__class_Ominus(X4,X5,X3)!=c_HOL_Ominus__class_Ominus(X2,X1,X3)|~class_OrderedGroup_Opordered__ab__group__add(X3)|~c_lessequals(X5,X4,X3))).
% 2.75/0.80 cnf(i_0_752, plain, (hBOOL(hAPP(hAPP(c_in(X1),X2),X3))|~hBOOL(hAPP(hAPP(c_in(X1),X2),c_HOL_Ominus__class_Ominus(X3,X4,tc_fun(X1,tc_bool)))))).
% 2.75/0.80 cnf(i_0_936, 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))).
% 2.75/0.80 cnf(i_0_899, plain, (hBOOL(hAPP(hAPP(X1,X2),X3))|~hBOOL(hAPP(hAPP(c_in(X4),X3),c_SetInterval_Oord_OatLeastLessThan(X1,X5,X2,X6,X4))))).
% 2.75/0.80 cnf(i_0_958, plain, (c_Hoare__Mirabelle_Otriple__valid(X1,X2,t_a)|hBOOL(hAPP(hAPP(c_in(tc_Hoare__Mirabelle_Otriple(t_a)),v_sko__Hoare__Mirabelle__Xtriples__valid__Suc__1(X1,X3)),X3))|~hBOOL(hAPP(hAPP(c_in(tc_Hoare__Mirabelle_Otriple(t_a)),X2),X3)))).
% 2.75/0.80 cnf(i_0_729, plain, (c_HOL_Ominus__class_Ominus(c_Set_Oinsert(X1,X2,X3),X4,tc_fun(X3,tc_bool))=c_Set_Oinsert(X1,c_HOL_Ominus__class_Ominus(X2,X4,tc_fun(X3,tc_bool)),X3)|hBOOL(hAPP(hAPP(c_in(X3),X1),X4)))).
% 2.75/0.80 cnf(i_0_744, plain, (hBOOL(hAPP(hAPP(c_in(X1),X2),c_Lattices_Oupper__semilattice__class_Osup(X3,X4,tc_fun(X1,tc_bool))))|~hBOOL(hAPP(hAPP(c_in(X1),X2),X4)))).
% 2.75/0.80 cnf(i_0_743, plain, (hBOOL(hAPP(hAPP(c_in(X1),X2),c_Lattices_Oupper__semilattice__class_Osup(X3,X4,tc_fun(X1,tc_bool))))|~hBOOL(hAPP(hAPP(c_in(X1),X2),X3)))).
% 2.75/0.80 cnf(i_0_932, 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))).
% 2.75/0.80 cnf(i_0_902, plain, (hBOOL(hAPP(hAPP(c_in(X1),hAPP(X2,X3)),c_Set_Oimage(X2,X4,X5,X1)))|~hBOOL(hAPP(hAPP(c_in(X5),X3),X4)))).
% 2.75/0.80 cnf(i_0_761, plain, (hBOOL(hAPP(hAPP(c_in(X1),X2),X3))|~hBOOL(hAPP(hAPP(c_in(X1),X2),c_Lattices_Olower__semilattice__class_Oinf(X4,X3,tc_fun(X1,tc_bool)))))).
% 2.75/0.80 cnf(i_0_762, plain, (hBOOL(hAPP(hAPP(c_in(X1),X2),X3))|~hBOOL(hAPP(hAPP(c_in(X1),X2),c_Lattices_Olower__semilattice__class_Oinf(X3,X4,tc_fun(X1,tc_bool)))))).
% 2.75/0.80 cnf(i_0_898, plain, (hBOOL(hAPP(hAPP(X1,X2),X3))|~hBOOL(hAPP(hAPP(c_in(X4),X2),c_SetInterval_Oord_OatLeastLessThan(X5,X1,X6,X3,X4))))).
% 2.75/0.80 cnf(i_0_753, plain, (hBOOL(hAPP(X1,c_ATP__Linkup_Osko__Set__XbexI__1__1(X2,X1,X3)))|~hBOOL(hAPP(hAPP(c_in(X3),X4),X2))|~hBOOL(hAPP(X1,X4)))).
% 2.75/0.80 cnf(i_0_521, plain, (c_HOL_Ominus__class_Ominus(X1,X2,tc_fun(X3,tc_bool))=X1|c_Lattices_Olower__semilattice__class_Oinf(X1,X2,tc_fun(X3,tc_bool))!=c_Orderings_Obot__class_Obot(tc_fun(X3,tc_bool)))).
% 2.75/0.80 cnf(i_0_954, plain, (X1=X2|c_Natural_Oevaln(X3,X1,X4,c_Natural_Osko__Natural__Xevaln__WHILE__case__1__1(X5,X3,X4,X1,X2))|~c_Natural_Oevaln(c_Com_Ocom_OWhile(X5,X3),X1,X4,X2))).
% 2.75/0.80 cnf(i_0_781, plain, (c_lessequals(X1,c_Lattices_Olower__semilattice__class_Oinf(X2,X3,X4),X4)|~class_Lattices_Olower__semilattice(X4)|~c_lessequals(X1,X3,X4)|~c_lessequals(X1,X2,X4))).
% 2.75/0.80 cnf(i_0_560, plain, (c_lessequals(c_Lattices_Oupper__semilattice__class_Osup(X1,X2,X3),X4,X3)|~class_Lattices_Oupper__semilattice(X3)|~c_lessequals(X2,X4,X3)|~c_lessequals(X1,X4,X3))).
% 2.75/0.80 cnf(i_0_942, 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))).
% 2.75/0.80 cnf(i_0_811, plain, (hAPP(X1,c_Orderings_Obot__class_Obot(tc_fun(X2,tc_bool)))=X3|~c_Complete__Lattice_Ocomplete__lattice(X4,X1,X5,X6,X7,X8,X3,X9,X2))).
% 2.75/0.80 cnf(i_0_812, plain, (hAPP(X1,c_Orderings_Obot__class_Obot(tc_fun(X2,tc_bool)))=X3|~c_Complete__Lattice_Ocomplete__lattice(X1,X4,X5,X6,X7,X8,X9,X3,X2))).
% 2.75/0.80 cnf(i_0_764, plain, (X1=X2|hAPP(c_COMBC(c_in(X3),X3,tc_fun(X3,tc_bool),tc_bool),X1)!=hAPP(c_COMBC(c_in(X3),X3,tc_fun(X3,tc_bool),tc_bool),X2))).
% 2.75/0.80 cnf(i_0_742, plain, (hBOOL(hAPP(hAPP(c_in(X1),X2),c_SetInterval_Oord_OatLeastAtMost(X3,X4,X5,X1)))|~hBOOL(hAPP(hAPP(X3,X4),X2))|~hBOOL(hAPP(hAPP(X3,X2),X5)))).
% 2.75/0.80 cnf(i_0_739, plain, (hBOOL(hAPP(hAPP(c_in(X1),X2),c_SetInterval_Oord_OatLeastLessThan(X3,X4,X5,X6,X1)))|~hBOOL(hAPP(hAPP(X4,X2),X6))|~hBOOL(hAPP(hAPP(X3,X5),X2)))).
% 2.75/0.80 cnf(i_0_754, plain, (hBOOL(hAPP(X1,c_ATP__Linkup_Osko__Set__XbexE__1__1(X2,X1,X3)))|~hBOOL(hAPP(hAPP(c_in(X3),X4),X2))|~hBOOL(hAPP(X1,X4)))).
% 2.75/0.80 cnf(i_0_926, plain, (c_Natural_Oevalc(c_Com_Ocom_OWhile(X1,X2),X3,X4)|~c_Natural_Oevalc(c_Com_Ocom_OWhile(X1,X2),X5,X4)|~c_Natural_Oevalc(X2,X3,X5)|~hBOOL(hAPP(X1,X3)))).
% 2.75/0.80 cnf(i_0_778, plain, (hAPP(X1,X2)=X3|~hBOOL(hAPP(hAPP(c_in(X4),X2),c_Set_Ovimage(X1,c_Set_Oinsert(X3,c_Orderings_Obot__class_Obot(tc_fun(X5,tc_bool)),X5),X4,X5))))).
% 2.75/0.80 cnf(i_0_657, 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))).
% 2.75/0.80 cnf(i_0_983, negated_conjecture, (hBOOL(hAPP(hAPP(v_P,X1),X2))|~c_Hoare__Mirabelle_Otriple__valid(X3,v_n(X3),t_a)|~c_Natural_Oevaln(v_c,X4,X3,X2)|~hBOOL(hAPP(hAPP(v_P,X1),X4))|~hBOOL(hAPP(v_b,X4)))).
% 2.75/0.80 cnf(i_0_901, plain, (hBOOL(hAPP(X1,c_ATP__Linkup_Osko__Set__Xrev__bexI__1__1(X2,X1,X3)))|~hBOOL(hAPP(hAPP(c_in(X3),X4),X2))|~hBOOL(hAPP(X1,X4)))).
% 2.75/0.80 cnf(i_0_871, plain, (hBOOL(hAPP(X1,X2))|~hBOOL(hAPP(hAPP(c_in(X3),X2),X4))|~hBOOL(hAPP(X1,c_ATP__Linkup_Osko__Set__XballE__1__1(X4,X1,X3))))).
% 2.75/0.80 cnf(i_0_872, plain, (X1=X2|hBOOL(hAPP(hAPP(c_in(X3),X4),X1))|hBOOL(hAPP(hAPP(c_in(X3),X4),X2))|c_Set_Oinsert(X4,X1,X3)!=c_Set_Oinsert(X4,X2,X3))).
% 2.75/0.80 cnf(i_0_760, plain, (hBOOL(hAPP(hAPP(c_in(X1),c_ATP__Linkup_Osko__Set__XballE__1__1(X2,X3,X1)),X2))|hBOOL(hAPP(X3,X4))|~hBOOL(hAPP(hAPP(c_in(X1),X4),X2)))).
% 2.75/0.80 cnf(i_0_517, plain, (c_lessequals(hAPP(X1,X2),c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(X3,X1,X4,X5),X5)|~class_Complete__Lattice_Ocomplete__lattice(X5)|~hBOOL(hAPP(hAPP(c_in(X4),X2),X3)))).
% 2.75/0.80 cnf(i_0_869, plain, (hBOOL(hAPP(hAPP(c_in(X1),c_ATP__Linkup_Osko__Complete__Lattice__Xball__conj__distrib__1__1(X2,X3,X4,X1)),X2))|hBOOL(hAPP(X4,X5))|~hBOOL(hAPP(hAPP(c_in(X1),X5),X2)))).
% 2.75/0.80 cnf(i_0_655, 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))).
% 2.75/0.80 cnf(i_0_750, plain, (hBOOL(hAPP(hAPP(c_in(X1),X2),X3))|hBOOL(hAPP(hAPP(c_in(X1),X2),X4))|~hBOOL(hAPP(hAPP(c_in(X1),X2),c_Lattices_Oupper__semilattice__class_Osup(X4,X3,tc_fun(X1,tc_bool)))))).
% 2.75/0.80 cnf(i_0_982, negated_conjecture, (hBOOL(hAPP(hAPP(c_in(tc_Hoare__Mirabelle_Otriple(t_a)),v_n(X1)),v_G))|hBOOL(hAPP(hAPP(v_P,X2),X3))|~c_Natural_Oevaln(v_c,X4,X1,X3)|~hBOOL(hAPP(hAPP(v_P,X2),X4))|~hBOOL(hAPP(v_b,X4)))).
% 2.75/0.80 cnf(i_0_956, plain, (c_Natural_Oevaln(X1,X2,X3,c_Natural_Osko__Natural__Xevaln__WHILE__case__1__1(X4,X1,X3,X2,X5))|~c_Natural_Oevaln(c_Com_Ocom_OWhile(X4,X1),X2,X3,X5)|~hBOOL(hAPP(X4,X2)))).
% 2.75/0.80 cnf(i_0_949, plain, (c_Hoare__Mirabelle_Otriple__valid(X1,X2,t_a)|~c_Hoare__Mirabelle_Otriple__valid(c_Suc(X1),v_sko__Hoare__Mirabelle__Xtriples__valid__Suc__1(X1,X3),t_a)|~hBOOL(hAPP(hAPP(c_in(tc_Hoare__Mirabelle_Otriple(t_a)),X2),X3)))).
% 2.75/0.80 cnf(i_0_516, plain, (c_HOL_Ominus__class_Ominus(c_Set_Oinsert(X1,X2,X3),X4,tc_fun(X3,tc_bool))=c_HOL_Ominus__class_Ominus(X2,X4,tc_fun(X3,tc_bool))|~hBOOL(hAPP(hAPP(c_in(X3),X1),X4)))).
% 2.75/0.80 cnf(i_0_870, plain, (hBOOL(hAPP(hAPP(c_in(X1),c_ATP__Linkup_Osko__Complete__Lattice__Xball__conj__distrib__1__1(X2,X3,X4,X1)),X2))|hBOOL(hAPP(X3,X5))|~hBOOL(hAPP(hAPP(c_in(X1),X5),X2)))).
% 2.75/0.80 cnf(i_0_955, plain, (X1=X2|c_Natural_Oevaln(c_Com_Ocom_OWhile(X3,X4),c_Natural_Osko__Natural__Xevaln__WHILE__case__1__1(X3,X4,X5,X1,X2),X5,X2)|~c_Natural_Oevaln(c_Com_Ocom_OWhile(X3,X4),X1,X5,X2))).
% 2.75/0.80 cnf(i_0_684, plain, (c_Set_Oinsert(hAPP(X1,X2),c_Set_Oimage(X1,X3,X4,X5),X5)=c_Set_Oimage(X1,X3,X4,X5)|~hBOOL(hAPP(hAPP(c_in(X4),X2),X3)))).
% 2.75/0.80 cnf(i_0_888, plain, (hBOOL(hAPP(X1,c_ATP__Linkup_Osko__Set__Xbex__Un__1__3(X2,X3,X1,X4)))|~hBOOL(hAPP(hAPP(c_in(X4),X5),X3))|~hBOOL(hAPP(X1,X5)))).
% 2.75/0.80 cnf(i_0_889, plain, (hBOOL(hAPP(X1,c_ATP__Linkup_Osko__Set__Xbex__Un__1__3(X2,X3,X1,X4)))|~hBOOL(hAPP(hAPP(c_in(X4),X5),X2))|~hBOOL(hAPP(X1,X5)))).
% 2.75/0.80 cnf(i_0_951, 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(hAPP(hAPP(c_in(tc_Hoare__Mirabelle_Otriple(t_a)),X2),X4)))).
% 2.75/0.80 cnf(i_0_758, plain, (hBOOL(hAPP(X1,X2))|~hBOOL(hAPP(X3,c_ATP__Linkup_Osko__Complete__Lattice__Xball__conj__distrib__1__1(X4,X3,X1,X5)))|~hBOOL(hAPP(X1,c_ATP__Linkup_Osko__Complete__Lattice__Xball__conj__distrib__1__1(X4,X3,X1,X5)))|~hBOOL(hAPP(hAPP(c_in(X5),X2),X4)))).
% 2.75/0.80 cnf(i_0_759, plain, (hBOOL(hAPP(X1,X2))|~hBOOL(hAPP(X3,c_ATP__Linkup_Osko__Complete__Lattice__Xball__conj__distrib__1__1(X4,X1,X3,X5)))|~hBOOL(hAPP(X1,c_ATP__Linkup_Osko__Complete__Lattice__Xball__conj__distrib__1__1(X4,X1,X3,X5)))|~hBOOL(hAPP(hAPP(c_in(X5),X2),X4)))).
% 2.75/0.80 cnf(i_0_873, plain, (hBOOL(hAPP(hAPP(c_in(X1),c_ATP__Linkup_Osko__Set__XbexI__1__1(X2,X3,X1)),X2))|~hBOOL(hAPP(hAPP(c_in(X1),X4),X2))|~hBOOL(hAPP(X3,X4)))).
% 2.75/0.80 cnf(i_0_890, plain, (hBOOL(hAPP(hAPP(c_in(X1),c_ATP__Linkup_Osko__Set__XbexE__1__1(X2,X3,X1)),X2))|~hBOOL(hAPP(hAPP(c_in(X1),X4),X2))|~hBOOL(hAPP(X3,X4)))).
% 2.75/0.80 cnf(i_0_900, plain, (hBOOL(hAPP(hAPP(c_in(X1),c_ATP__Linkup_Osko__Set__Xrev__bexI__1__1(X2,X3,X1)),X2))|~hBOOL(hAPP(hAPP(c_in(X1),X4),X2))|~hBOOL(hAPP(X3,X4)))).
% 2.75/0.80 cnf(i_0_775, plain, (c_Set_Oinsert(X1,c_Lattices_Olower__semilattice__class_Oinf(X2,X3,tc_fun(X4,tc_bool)),X4)=c_Lattices_Olower__semilattice__class_Oinf(X2,c_Set_Oinsert(X1,X3,X4),tc_fun(X4,tc_bool))|~hBOOL(hAPP(hAPP(c_in(X4),X1),X2)))).
% 2.75/0.80 cnf(i_0_938, plain, (c_Natural_Oevaln(X1,X2,c_Natural_Osko__Natural__Xevaln__max2__1__1(X3,X1,X4,X2,X5,X6),X6)|~c_Natural_Oevaln(X3,X4,X7,X5)|~c_Natural_Oevaln(X1,X2,X8,X6))).
% 2.75/0.80 cnf(i_0_939, plain, (c_Natural_Oevaln(X1,X2,c_Natural_Osko__Natural__Xevaln__max2__1__1(X1,X3,X2,X4,X5,X6),X5)|~c_Natural_Oevaln(X3,X4,X7,X6)|~c_Natural_Oevaln(X1,X2,X8,X5))).
% 2.75/0.80 cnf(i_0_837, plain, (hAPP(X1,c_Set_Oinsert(X2,c_Orderings_Obot__class_Obot(tc_fun(X3,tc_bool)),X3))=X2|~c_Complete__Lattice_Ocomplete__lattice(X4,X1,X5,X6,X7,X8,X9,X10,X3))).
% 2.75/0.80 cnf(i_0_838, plain, (hAPP(X1,c_Set_Oinsert(X2,c_Orderings_Obot__class_Obot(tc_fun(X3,tc_bool)),X3))=X2|~c_Complete__Lattice_Ocomplete__lattice(X1,X4,X5,X6,X7,X8,X9,X10,X3))).
% 2.75/0.80 cnf(i_0_774, plain, (c_Set_Oinsert(X1,c_Lattices_Olower__semilattice__class_Oinf(X2,X3,tc_fun(X4,tc_bool)),X4)=c_Lattices_Olower__semilattice__class_Oinf(c_Set_Oinsert(X1,X2,X4),X3,tc_fun(X4,tc_bool))|~hBOOL(hAPP(hAPP(c_in(X4),X1),X3)))).
% 2.75/0.80 cnf(i_0_867, plain, (hBOOL(hAPP(hAPP(c_in(X1),X2),c_HOL_Ominus__class_Ominus(X3,X4,tc_fun(X1,tc_bool))))|hBOOL(hAPP(hAPP(c_in(X1),X2),X4))|~hBOOL(hAPP(hAPP(c_in(X1),X2),X3)))).
% 2.75/0.80 cnf(i_0_624, plain, (hAPP(X1,X2)=c_Orderings_Obot__class_Obot(tc_fun(X3,tc_bool))|c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(X4,X1,X5,tc_fun(X3,tc_bool))!=c_Orderings_Obot__class_Obot(tc_fun(X3,tc_bool))|~hBOOL(hAPP(hAPP(c_in(X5),X2),X4)))).
% 2.75/0.80 cnf(i_0_957, 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)))).
% 2.75/0.80 cnf(i_0_953, plain, (c_Natural_Oevaln(c_Com_Ocom_OWhile(X1,X2),c_Natural_Osko__Natural__Xevaln__WHILE__case__1__1(X1,X2,X3,X4,X5),X3,X5)|~c_Natural_Oevaln(c_Com_Ocom_OWhile(X1,X2),X4,X3,X5)|~hBOOL(hAPP(X1,X4)))).
% 2.75/0.80 cnf(i_0_963, 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)))).
% 2.75/0.80 cnf(i_0_737, plain, (hBOOL(hAPP(hAPP(c_in(X1),X2),c_Lattices_Olower__semilattice__class_Oinf(X3,X4,tc_fun(X1,tc_bool))))|~hBOOL(hAPP(hAPP(c_in(X1),X2),X4))|~hBOOL(hAPP(hAPP(c_in(X1),X2),X3)))).
% 2.75/0.80 cnf(i_0_948, plain, (c_Hoare__Mirabelle_Otriple__valid(X1,X2,t_a)|hBOOL(hAPP(hAPP(c_in(tc_Hoare__Mirabelle_Otriple(t_a)),v_sko__Hoare__Mirabelle__Xhoare__valids__def__1(X3,X1)),X3))|~c_Hoare__Mirabelle_Ohoare__valids(X3,X4,t_a)|~hBOOL(hAPP(hAPP(c_in(tc_Hoare__Mirabelle_Otriple(t_a)),X2),X4)))).
% 2.75/0.80 cnf(i_0_769, plain, (hAPP(X1,c_Set_Oinsert(X2,X3,X4))=hAPP(hAPP(X5,X2),hAPP(X1,X3))|~c_Complete__Lattice_Ocomplete__lattice(X6,X1,X7,X8,X9,X5,X10,X11,X4))).
% 2.75/0.80 cnf(i_0_770, plain, (hAPP(X1,c_Set_Oinsert(X2,X3,X4))=hAPP(hAPP(X5,X2),hAPP(X1,X3))|~c_Complete__Lattice_Ocomplete__lattice(X1,X6,X7,X8,X5,X9,X10,X11,X4))).
% 2.75/0.80 cnf(i_0_596, plain, (c_Lattices_Oupper__semilattice__class_Osup(hAPP(X1,X2),c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(X3,X1,X4,tc_fun(X5,tc_bool)),tc_fun(X5,tc_bool))=c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(X3,X1,X4,tc_fun(X5,tc_bool))|~hBOOL(hAPP(hAPP(c_in(X4),X2),X3)))).
% 2.75/0.80 cnf(i_0_895, plain, (hBOOL(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(X1,X2,X3,tc_fun(X4,tc_bool)),X5))|~hBOOL(hAPP(hAPP(c_in(X3),X6),X1))|~hBOOL(hAPP(hAPP(X2,X6),X5)))).
% 2.75/0.80 cnf(i_0_842, 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))).
% 2.75/0.80 cnf(i_0_885, plain, (hBOOL(hAPP(hAPP(X1,X2),hAPP(X3,X4)))|~c_Complete__Lattice_Ocomplete__lattice(X5,X3,X1,X6,X7,X8,X9,X10,X11)|~hBOOL(hAPP(hAPP(c_in(X11),X2),X4)))).
% 2.75/0.80 cnf(i_0_884, plain, (hBOOL(hAPP(hAPP(X1,hAPP(X2,X3)),X4))|~c_Complete__Lattice_Ocomplete__lattice(X2,X5,X1,X6,X7,X8,X9,X10,X11)|~hBOOL(hAPP(hAPP(c_in(X11),X4),X3)))).
% 2.75/0.80 cnf(i_0_878, plain, (hBOOL(hAPP(X1,c_ATP__Linkup_Osko__Complete__Lattice__Xbex__UN__1__3(X2,X3,X1,X4,X5)))|~hBOOL(hAPP(hAPP(c_in(X5),X6),hAPP(X3,X7)))|~hBOOL(hAPP(hAPP(c_in(X4),X7),X2))|~hBOOL(hAPP(X1,X6)))).
% 2.75/0.80 cnf(i_0_874, plain, (hBOOL(hAPP(hAPP(c_in(X1),X2),c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(X3,X4,X5,tc_fun(X1,tc_bool))))|~hBOOL(hAPP(hAPP(c_in(X1),X2),hAPP(X4,X6)))|~hBOOL(hAPP(hAPP(c_in(X5),X6),X3)))).
% 2.75/0.80 cnf(i_0_597, plain, (hAPP(X1,c_Set_Oinsert(X2,c_Set_Oinsert(X3,c_Orderings_Obot__class_Obot(tc_fun(X4,tc_bool)),X4),X4))=hAPP(hAPP(X5,X2),X3)|~c_Complete__Lattice_Ocomplete__lattice(X6,X1,X7,X8,X9,X5,X10,X11,X4))).
% 2.75/0.80 cnf(i_0_598, plain, (hAPP(X1,c_Set_Oinsert(X2,c_Set_Oinsert(X3,c_Orderings_Obot__class_Obot(tc_fun(X4,tc_bool)),X4),X4))=hAPP(hAPP(X5,X2),X3)|~c_Complete__Lattice_Ocomplete__lattice(X1,X6,X7,X8,X5,X9,X10,X11,X4))).
% 2.75/0.80 cnf(i_0_670, plain, (c_Complete__Lattice_Ocomplete__lattice(X1,X2,c_COMBC(X3,X4,X4,tc_bool),c_COMBC(X5,X4,X4,tc_bool),X6,X7,X8,X9,X4)|~c_Complete__Lattice_Ocomplete__lattice(X2,X1,X3,X5,X7,X6,X9,X8,X4))).
% 2.75/0.80 cnf(i_0_768, plain, (hBOOL(hAPP(hAPP(c_in(X1),c_ATP__Linkup_Osko__Set__Xbex__Un__1__3(X2,X3,X4,X1)),c_Lattices_Oupper__semilattice__class_Osup(X2,X3,tc_fun(X1,tc_bool))))|~hBOOL(hAPP(hAPP(c_in(X1),X5),X3))|~hBOOL(hAPP(X4,X5)))).
% 2.75/0.80 cnf(i_0_767, plain, (hBOOL(hAPP(hAPP(c_in(X1),c_ATP__Linkup_Osko__Set__Xbex__Un__1__3(X2,X3,X4,X1)),c_Lattices_Oupper__semilattice__class_Osup(X2,X3,tc_fun(X1,tc_bool))))|~hBOOL(hAPP(hAPP(c_in(X1),X5),X2))|~hBOOL(hAPP(X4,X5)))).
% 2.75/0.80 cnf(i_0_894, plain, (hBOOL(hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(X1,X2,X3,tc_fun(X4,tc_fun(X5,tc_bool))),X6),X7))|~hBOOL(hAPP(hAPP(hAPP(X2,X8),X6),X7))|~hBOOL(hAPP(hAPP(c_in(X3),X8),X1)))).
% 2.75/0.80 cnf(i_0_771, plain, (hBOOL(hAPP(hAPP(c_in(X1),c_ATP__Linkup_Osko__Complete__Lattice__Xbex__UN__1__3(X2,X3,X4,X5,X1)),c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(X2,X3,X5,tc_fun(X1,tc_bool))))|~hBOOL(hAPP(hAPP(c_in(X1),X6),hAPP(X3,X7)))|~hBOOL(hAPP(hAPP(c_in(X5),X7),X2))|~hBOOL(hAPP(X4,X6)))).
% 2.75/0.80 # End listing active clauses. There is an equivalent clause to each of these in the clausification!
% 2.75/0.80 # Begin printing tableau
% 2.75/0.80 # Found 8 steps
% 2.75/0.80 cnf(i_0_982, negated_conjecture, (hBOOL(hAPP(hAPP(c_in(tc_Hoare__Mirabelle_Otriple(t_a)),v_n(v_na)),v_G))|hBOOL(hAPP(hAPP(v_P,v_xb),v_s1))|~c_Natural_Oevaln(v_c,v_s0,v_na,v_s1)|~hBOOL(hAPP(hAPP(v_P,v_xb),v_s0))|~hBOOL(hAPP(v_b,v_s0))), inference(start_rule)).
% 2.75/0.80 cnf(i_0_1018, plain, (~c_Natural_Oevaln(v_c,v_s0,v_na,v_s1)), inference(closure_rule, [i_0_967])).
% 2.75/0.80 cnf(i_0_1019, plain, (~hBOOL(hAPP(hAPP(v_P,v_xb),v_s0))), inference(closure_rule, [i_0_971])).
% 2.75/0.80 cnf(i_0_1020, plain, (~hBOOL(hAPP(v_b,v_s0))), inference(closure_rule, [i_0_966])).
% 2.75/0.80 cnf(i_0_1016, plain, (hBOOL(hAPP(hAPP(c_in(tc_Hoare__Mirabelle_Otriple(t_a)),v_n(v_na)),v_G))), inference(extension_rule, [i_0_961])).
% 2.75/0.80 cnf(i_0_1070, plain, (hBOOL(hAPP(hAPP(c_in(X7),v_G),hAPP(c_in(tc_Hoare__Mirabelle_Otriple(t_a)),v_n(v_na))))), inference(extension_rule, [i_0_891])).
% 2.75/0.80 cnf(i_0_1017, plain, (hBOOL(hAPP(hAPP(v_P,v_xb),v_s1))), inference(etableau_closure_rule, [i_0_1017, ...])).
% 2.75/0.80 cnf(i_0_1167, plain, (c_Set_Oinsert(v_G,hAPP(c_in(tc_Hoare__Mirabelle_Otriple(t_a)),v_n(v_na)),X7)=hAPP(c_in(tc_Hoare__Mirabelle_Otriple(t_a)),v_n(v_na))), inference(etableau_closure_rule, [i_0_1167, ...])).
% 2.75/0.80 # End printing tableau
% 2.75/0.80 # SZS output end
% 2.75/0.80 # Branches closed with saturation will be marked with an "s"
% 2.75/0.80 # Child (31487) has found a proof.
% 2.75/0.80
% 2.75/0.80 # Proof search is over...
% 2.75/0.80 # Freeing feature tree
%------------------------------------------------------------------------------