TSTP Solution File: SWV858-1 by Etableau---0.67

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Etableau---0.67
% Problem  : SWV858-1 : TPTP v8.1.0. Released v4.1.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : etableau --auto --tsmdo --quicksat=10000 --tableau=1 --tableau-saturation=1 -s -p --tableau-cores=8 --cpu-limit=%d %s

% Computer : n025.cluster.edu
% Model    : x86_64 x86_64
% CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory   : 8042.1875MB
% OS       : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit  : 600s
% DateTime : Wed Jul 20 18:23:43 EDT 2022

% Result   : Unsatisfiable 1.60s 0.66s
% Output   : CNFRefutation 1.60s
% Verified : 
% SZS Type : -

% Comments : 
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12  % Problem  : SWV858-1 : TPTP v8.1.0. Released v4.1.0.
% 0.13/0.13  % Command  : etableau --auto --tsmdo --quicksat=10000 --tableau=1 --tableau-saturation=1 -s -p --tableau-cores=8 --cpu-limit=%d %s
% 0.13/0.34  % Computer : n025.cluster.edu
% 0.13/0.34  % Model    : x86_64 x86_64
% 0.13/0.34  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.34  % Memory   : 8042.1875MB
% 0.13/0.34  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.13/0.34  % CPULimit : 300
% 0.13/0.34  % WCLimit  : 600
% 0.13/0.34  % DateTime : Wed Jun 15 05:16:25 EDT 2022
% 0.13/0.34  % CPUTime  : 
% 0.21/0.44  # No SInE strategy applied
% 0.21/0.44  # Auto-Mode selected heuristic G_E___207_C18_F1_SE_CS_SP_PI_PS_S5PRR_RG_S0Y
% 0.21/0.44  # and selection function SelectMaxLComplexAvoidPosPred.
% 0.21/0.44  #
% 0.21/0.44  # Presaturation interreduction done
% 0.21/0.44  # Number of axioms: 593 Number of unprocessed: 488
% 0.21/0.44  # Tableaux proof search.
% 0.21/0.44  # APR header successfully linked.
% 0.21/0.44  # Hello from C++
% 0.21/0.46  # The folding up rule is enabled...
% 0.21/0.46  # Local unification is enabled...
% 0.21/0.46  # Any saturation attempts will use folding labels...
% 0.21/0.46  # 488 beginning clauses after preprocessing and clausification
% 0.21/0.46  # Creating start rules for all 7 conjectures.
% 0.21/0.46  # There are 7 start rule candidates:
% 0.21/0.46  # Found 131 unit axioms.
% 0.21/0.46  # Unsuccessfully attempted saturation on 1 start tableaux, moving on.
% 0.21/0.46  # 7 start rule tableaux created.
% 0.21/0.46  # 357 extension rule candidate clauses
% 0.21/0.46  # 131 unit axiom clauses
% 0.21/0.46  
% 0.21/0.46  # Requested 8, 32 cores available to the main process.
% 0.21/0.46  # There are not enough tableaux to fork, creating more from the initial 7
% 0.21/0.46  # Returning from population with 64 new_tableaux and 0 remaining starting tableaux.
% 0.21/0.46  # We now have 64 tableaux to operate on
% 1.60/0.66  # There were 1 total branch saturation attempts.
% 1.60/0.66  # There were 0 of these attempts blocked.
% 1.60/0.66  # There were 0 deferred branch saturation attempts.
% 1.60/0.66  # There were 0 free duplicated saturations.
% 1.60/0.66  # There were 1 total successful branch saturations.
% 1.60/0.66  # There were 0 successful branch saturations in interreduction.
% 1.60/0.66  # There were 0 successful branch saturations on the branch.
% 1.60/0.66  # There were 1 successful branch saturations after the branch.
% 1.60/0.66  # SZS status Unsatisfiable for /export/starexec/sandbox/benchmark/theBenchmark.p
% 1.60/0.66  # SZS output start for /export/starexec/sandbox/benchmark/theBenchmark.p
% 1.60/0.66  # Begin clausification derivation
% 1.60/0.66  
% 1.60/0.66  # End clausification derivation
% 1.60/0.66  # Begin listing active clauses obtained from FOF to CNF conversion
% 1.60/0.66  cnf(i_0_1183, plain, (class_HOL_Ominus(tc_bool))).
% 1.60/0.66  cnf(i_0_1142, negated_conjecture, (c_Hoare__Mirabelle_Ohoare__derivs(v_Ga,v_ts_H,t_a))).
% 1.60/0.66  cnf(i_0_1143, negated_conjecture, (c_lessequals(v_tsa,v_ts_H,tc_fun(tc_Hoare__Mirabelle_Otriple(t_a),tc_bool)))).
% 1.60/0.66  cnf(i_0_1144, negated_conjecture, (hBOOL(hAPP(hAPP(c_in(tc_Hoare__Mirabelle_Otriple(t_a)),v_xa),v_tsa)))).
% 1.60/0.66  cnf(i_0_1170, plain, (class_HOL_Ominus(tc_nat))).
% 1.60/0.66  cnf(i_0_1176, plain, (class_Lattices_Obounded__lattice(tc_bool))).
% 1.60/0.66  cnf(i_0_1180, plain, (class_Orderings_Oorder(tc_bool))).
% 1.60/0.66  cnf(i_0_1168, plain, (class_Orderings_Oorder(tc_nat))).
% 1.60/0.66  cnf(i_0_1179, plain, (class_Lattices_Olattice(tc_bool))).
% 1.60/0.66  cnf(i_0_1174, plain, (class_Lattices_Olower__semilattice(tc_bool))).
% 1.60/0.66  cnf(i_0_1173, plain, (class_Lattices_Oupper__semilattice(tc_bool))).
% 1.60/0.66  cnf(i_0_1177, plain, (class_Lattices_Oboolean__algebra(tc_bool))).
% 1.60/0.66  cnf(i_0_1184, plain, (class_HOL_Oord(tc_bool))).
% 1.60/0.66  cnf(i_0_1166, plain, (class_Orderings_Olinorder(tc_nat))).
% 1.60/0.66  cnf(i_0_1172, plain, (class_Complete__Lattice_Ocomplete__lattice(tc_bool))).
% 1.60/0.66  cnf(i_0_1167, plain, (class_Lattices_Olattice(tc_nat))).
% 1.60/0.66  cnf(i_0_1163, plain, (class_Lattices_Olower__semilattice(tc_nat))).
% 1.60/0.66  cnf(i_0_1162, plain, (class_Lattices_Oupper__semilattice(tc_nat))).
% 1.60/0.66  cnf(i_0_1171, plain, (class_HOL_Oord(tc_nat))).
% 1.60/0.66  cnf(i_0_1178, plain, (class_Orderings_Opreorder(tc_bool))).
% 1.60/0.66  cnf(i_0_1175, plain, (class_Lattices_Odistrib__lattice(tc_bool))).
% 1.60/0.66  cnf(i_0_1181, plain, (class_Orderings_Obot(tc_bool))).
% 1.60/0.66  cnf(i_0_1182, plain, (class_HOL_Ouminus(tc_bool))).
% 1.60/0.66  cnf(i_0_1165, plain, (class_Orderings_Opreorder(tc_nat))).
% 1.60/0.66  cnf(i_0_1164, plain, (class_Lattices_Odistrib__lattice(tc_nat))).
% 1.60/0.66  cnf(i_0_1169, plain, (class_Orderings_Obot(tc_nat))).
% 1.60/0.66  cnf(i_0_679, plain, (hAPP(c_Fun_Oid(X1),X2)=X2)).
% 1.60/0.66  cnf(i_0_1114, 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))).
% 1.60/0.66  cnf(i_0_1185, plain, (c_fequal(X1,X1,X2))).
% 1.60/0.66  cnf(i_0_1124, plain, (c_lessequals(X1,X1,tc_fun(X2,tc_bool)))).
% 1.60/0.66  cnf(i_0_1066, plain, (c_Hoare__Mirabelle_Ohoare__derivs(X1,c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(X2),tc_bool)),X2))).
% 1.60/0.66  cnf(i_0_746, plain, (c_Lattices_Oupper__semilattice__class_Osup(X1,X1,tc_fun(X2,tc_bool))=X1)).
% 1.60/0.66  cnf(i_0_998, plain, (c_Lattices_Olower__semilattice__class_Oinf(X1,X1,tc_fun(X2,tc_bool))=X1)).
% 1.60/0.66  cnf(i_0_1045, plain, (c_lessequals(c_Orderings_Obot__class_Obot(tc_fun(X1,tc_bool)),X2,tc_fun(X1,tc_bool)))).
% 1.60/0.66  cnf(i_0_986, plain, (hBOOL(hAPP(c_Set_Oinsert(X1,X2,X3),X1)))).
% 1.60/0.66  cnf(i_0_595, plain, (c_Set_Ovimage(c_Fun_Oid(X1),X2,X1,X1)=X2)).
% 1.60/0.66  cnf(i_0_650, plain, (c_Set_Oimage(c_Fun_Oid(X1),X2,X1,X1)=X2)).
% 1.60/0.66  cnf(i_0_804, plain, (c_HOL_Ominus__class_Ominus(X1,X1,tc_fun(X2,tc_bool))=c_Orderings_Obot__class_Obot(tc_fun(X2,tc_bool)))).
% 1.60/0.66  cnf(i_0_684, plain, (c_HOL_Ouminus__class_Ouminus(c_HOL_Ouminus__class_Ouminus(X1,tc_fun(X2,tc_bool)),tc_fun(X2,tc_bool))=X1)).
% 1.60/0.66  cnf(i_0_824, plain, (c_Lattices_Oupper__semilattice__class_Osup(X1,c_Orderings_Obot__class_Obot(tc_fun(X2,tc_bool)),tc_fun(X2,tc_bool))=X1)).
% 1.60/0.66  cnf(i_0_803, plain, (c_HOL_Ominus__class_Ominus(X1,c_Orderings_Obot__class_Obot(tc_fun(X2,tc_bool)),tc_fun(X2,tc_bool))=X1)).
% 1.60/0.66  cnf(i_0_823, plain, (c_Lattices_Oupper__semilattice__class_Osup(c_Orderings_Obot__class_Obot(tc_fun(X1,tc_bool)),X2,tc_fun(X1,tc_bool))=X2)).
% 1.60/0.66  cnf(i_0_748, plain, (c_Fun_Ocomp(X1,c_Fun_Oid(X2),X2,X3,X2)=X1)).
% 1.60/0.66  cnf(i_0_991, plain, (c_Fun_Ofcomp(X1,c_Fun_Oid(X2),X3,X2,X2)=X1)).
% 1.60/0.66  cnf(i_0_747, plain, (c_Fun_Ocomp(c_Fun_Oid(X1),X2,X1,X1,X3)=X2)).
% 1.60/0.66  cnf(i_0_992, plain, (c_Fun_Ofcomp(c_Fun_Oid(X1),X2,X1,X1,X3)=X2)).
% 1.60/0.66  cnf(i_0_1044, plain, (c_lessequals(X1,c_Set_Oinsert(X2,X1,X3),tc_fun(X3,tc_bool)))).
% 1.60/0.66  cnf(i_0_722, plain, (hBOOL(hAPP(hAPP(c_in(X1),X2),c_Set_Oinsert(X2,X3,X1))))).
% 1.60/0.66  cnf(i_0_1054, plain, (c_lessequals(X1,c_Lattices_Oupper__semilattice__class_Osup(X2,X1,tc_fun(X3,tc_bool)),tc_fun(X3,tc_bool)))).
% 1.60/0.66  cnf(i_0_1055, plain, (c_lessequals(X1,c_Lattices_Oupper__semilattice__class_Osup(X1,X2,tc_fun(X3,tc_bool)),tc_fun(X3,tc_bool)))).
% 1.60/0.66  cnf(i_0_1057, plain, (c_lessequals(c_HOL_Ominus__class_Ominus(X1,X2,tc_fun(X3,tc_bool)),X1,tc_fun(X3,tc_bool)))).
% 1.60/0.66  cnf(i_0_934, plain, (c_lessequals(c_Lattices_Olower__semilattice__class_Oinf(X1,X2,tc_fun(X3,tc_bool)),X2,tc_fun(X3,tc_bool)))).
% 1.60/0.66  cnf(i_0_935, plain, (c_lessequals(c_Lattices_Olower__semilattice__class_Oinf(X1,X2,tc_fun(X3,tc_bool)),X1,tc_fun(X3,tc_bool)))).
% 1.60/0.66  cnf(i_0_795, 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)))).
% 1.60/0.66  cnf(i_0_825, 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)))).
% 1.60/0.66  cnf(i_0_794, 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)))).
% 1.60/0.66  cnf(i_0_661, 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)))).
% 1.60/0.66  cnf(i_0_1034, 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)))).
% 1.60/0.66  cnf(i_0_788, plain, (c_Set_Oinsert(X1,c_Set_Oinsert(X1,X2,X3),X3)=c_Set_Oinsert(X1,X2,X3))).
% 1.60/0.66  cnf(i_0_806, plain, (hAPP(c_Fun_Ocomp(X1,X2,X3,X4,X5),X6)=hAPP(X1,hAPP(X2,X6)))).
% 1.60/0.66  cnf(i_0_977, plain, (hAPP(c_Fun_Ofcomp(X1,X2,X3,X4,X5),X6)=hAPP(X2,hAPP(X1,X6)))).
% 1.60/0.66  cnf(i_0_638, plain, (hAPP(c_COMBC(X1,X2,X3,X4,X5),X6)=hAPP(hAPP(X1,X6),X2))).
% 1.60/0.66  cnf(i_0_665, 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)))).
% 1.60/0.66  cnf(i_0_632, plain, (c_Lattices_Olower__semilattice__class_Oinf(X1,c_HOL_Ouminus__class_Ouminus(X2,tc_fun(X3,tc_bool)),tc_fun(X3,tc_bool))=c_HOL_Ominus__class_Ominus(X1,X2,tc_fun(X3,tc_bool)))).
% 1.60/0.66  cnf(i_0_670, plain, (c_HOL_Ominus__class_Ominus(X1,c_HOL_Ouminus__class_Ouminus(X2,tc_fun(X3,tc_bool)),tc_fun(X3,tc_bool))=c_Lattices_Olower__semilattice__class_Oinf(X1,X2,tc_fun(X3,tc_bool)))).
% 1.60/0.66  cnf(i_0_658, 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)))).
% 1.60/0.66  cnf(i_0_597, 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)))).
% 1.60/0.66  cnf(i_0_989, 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)))).
% 1.60/0.66  cnf(i_0_916, plain, (hAPP(c_Lattices_Oupper__semilattice__class_Osup(c_COMBC(c_in(t_a),X1,t_a,tc_fun(t_a,tc_bool),tc_bool),c_COMBC(c_in(t_a),X2,t_a,tc_fun(t_a,tc_bool),tc_bool),tc_fun(t_a,tc_bool)),v_x)=hAPP(hAPP(c_in(t_a),v_x),c_Lattices_Oupper__semilattice__class_Osup(X1,X2,tc_fun(t_a,tc_bool))))).
% 1.60/0.66  cnf(i_0_915, plain, (hAPP(c_Lattices_Olower__semilattice__class_Oinf(c_COMBC(c_in(t_a),X1,t_a,tc_fun(t_a,tc_bool),tc_bool),c_COMBC(c_in(t_a),X2,t_a,tc_fun(t_a,tc_bool),tc_bool),tc_fun(t_a,tc_bool)),v_x)=hAPP(hAPP(c_in(t_a),v_x),c_Lattices_Olower__semilattice__class_Oinf(X1,X2,tc_fun(t_a,tc_bool))))).
% 1.60/0.66  cnf(i_0_637, 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)))).
% 1.60/0.66  cnf(i_0_827, 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)).
% 1.60/0.66  cnf(i_0_639, 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)).
% 1.60/0.66  cnf(i_0_798, plain, (c_Lattices_Olower__semilattice__class_Oinf(X1,c_Complete__Lattice_Ocomplete__lattice__class_OINFI(c_Orderings_Obot__class_Obot(tc_fun(X2,tc_bool)),X3,X2,tc_fun(X4,tc_bool)),tc_fun(X4,tc_bool))=X1)).
% 1.60/0.66  cnf(i_0_826, 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)).
% 1.60/0.66  cnf(i_0_797, plain, (c_Lattices_Olower__semilattice__class_Oinf(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(c_Orderings_Obot__class_Obot(tc_fun(X1,tc_bool)),X2,X1,tc_fun(X3,tc_bool)),X4,tc_fun(X3,tc_bool))=X4)).
% 1.60/0.66  cnf(i_0_777, plain, (c_lessequals(c_Set_Oimage(X1,c_Set_Ovimage(X1,X2,X3,X4),X3,X4),X2,tc_fun(X4,tc_bool)))).
% 1.60/0.66  cnf(i_0_781, plain, (c_HOL_Ouminus__class_Ouminus(c_HOL_Ominus__class_Ominus(X1,X2,tc_fun(X3,tc_bool)),tc_fun(X3,tc_bool))=c_Lattices_Oupper__semilattice__class_Osup(c_HOL_Ouminus__class_Ouminus(X1,tc_fun(X3,tc_bool)),X2,tc_fun(X3,tc_bool)))).
% 1.60/0.66  cnf(i_0_774, 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)))).
% 1.60/0.66  cnf(i_0_773, 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)))).
% 1.60/0.66  cnf(i_0_963, 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)).
% 1.60/0.66  cnf(i_0_628, 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)))).
% 1.60/0.66  cnf(i_0_1008, 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)))).
% 1.60/0.66  cnf(i_0_817, 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)))).
% 1.60/0.66  cnf(i_0_980, 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))).
% 1.60/0.66  cnf(i_0_785, 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))))).
% 1.60/0.66  cnf(i_0_662, plain, (c_HOL_Ominus__class_Ominus(c_HOL_Ouminus__class_Ouminus(X1,tc_fun(X2,tc_bool)),X3,tc_fun(X2,tc_bool))=c_HOL_Ouminus__class_Ouminus(c_Lattices_Oupper__semilattice__class_Osup(X1,X3,tc_fun(X2,tc_bool)),tc_fun(X2,tc_bool)))).
% 1.60/0.66  cnf(i_0_651, plain, (c_Lattices_Oupper__semilattice__class_Osup(c_HOL_Ouminus__class_Ouminus(X1,tc_fun(X2,tc_bool)),c_HOL_Ouminus__class_Ouminus(X3,tc_fun(X2,tc_bool)),tc_fun(X2,tc_bool))=c_HOL_Ouminus__class_Ouminus(c_Lattices_Olower__semilattice__class_Oinf(X1,X3,tc_fun(X2,tc_bool)),tc_fun(X2,tc_bool)))).
% 1.60/0.66  cnf(i_0_615, 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))).
% 1.60/0.66  cnf(i_0_786, 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))).
% 1.60/0.66  cnf(i_0_984, 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)))).
% 1.60/0.66  cnf(i_0_667, 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))).
% 1.60/0.66  cnf(i_0_775, 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))).
% 1.60/0.66  cnf(i_0_693, 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))).
% 1.60/0.66  cnf(i_0_1019, 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)))).
% 1.60/0.66  cnf(i_0_751, 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)))).
% 1.60/0.66  cnf(i_0_833, 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)))).
% 1.60/0.66  cnf(i_0_985, 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)))).
% 1.60/0.66  cnf(i_0_594, 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)))).
% 1.60/0.66  cnf(i_0_1033, 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))).
% 1.60/0.66  cnf(i_0_752, 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)))).
% 1.60/0.66  cnf(i_0_840, 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)))).
% 1.60/0.66  cnf(i_0_782, 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)))).
% 1.60/0.66  cnf(i_0_783, 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)))).
% 1.60/0.66  cnf(i_0_1021, 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)))).
% 1.60/0.66  cnf(i_0_1009, plain, (c_Lattices_Olower__semilattice__class_Oinf(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(X1,X2,X3,tc_fun(X4,tc_bool)),c_Complete__Lattice_Ocomplete__lattice__class_OINFI(X5,X2,X3,tc_fun(X4,tc_bool)),tc_fun(X4,tc_bool))=c_Complete__Lattice_Ocomplete__lattice__class_OINFI(c_Lattices_Oupper__semilattice__class_Osup(X1,X5,tc_fun(X3,tc_bool)),X2,X3,tc_fun(X4,tc_bool)))).
% 1.60/0.66  cnf(i_0_800, plain, (c_lessequals(c_Set_Oimage(X1,c_Lattices_Olower__semilattice__class_Oinf(X2,X3,tc_fun(X4,tc_bool)),X4,X5),c_Lattices_Olower__semilattice__class_Oinf(c_Set_Oimage(X1,X2,X4,X5),c_Set_Oimage(X1,X3,X4,X5),tc_fun(X5,tc_bool)),tc_fun(X5,tc_bool)))).
% 1.60/0.66  cnf(i_0_630, plain, (c_lessequals(c_HOL_Ominus__class_Ominus(c_Set_Oimage(X1,X2,X3,X4),c_Set_Oimage(X1,X5,X3,X4),tc_fun(X4,tc_bool)),c_Set_Oimage(X1,c_HOL_Ominus__class_Ominus(X2,X5,tc_fun(X3,tc_bool)),X3,X4),tc_fun(X4,tc_bool)))).
% 1.60/0.66  cnf(i_0_611, plain, (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))=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)))).
% 1.60/0.66  cnf(i_0_834, 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)))).
% 1.60/0.66  cnf(i_0_1005, 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)))).
% 1.60/0.66  cnf(i_0_647, 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)))).
% 1.60/0.66  cnf(i_0_622, 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)))).
% 1.60/0.66  cnf(i_0_640, plain, (c_Set_Oinsert(X1,c_Set_Oinsert(X2,X3,X4),X4)=c_Set_Oinsert(X2,c_Set_Oinsert(X1,X3,X4),X4))).
% 1.60/0.66  cnf(i_0_608, plain, (c_Set_Ovimage(X1,c_HOL_Ouminus__class_Ouminus(X2,tc_fun(X3,tc_bool)),X4,X3)=c_HOL_Ouminus__class_Ouminus(c_Set_Ovimage(X1,X2,X4,X3),tc_fun(X4,tc_bool)))).
% 1.60/0.66  cnf(i_0_976, 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))).
% 1.60/0.66  cnf(i_0_629, 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)))).
% 1.60/0.66  cnf(i_0_818, 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)))).
% 1.60/0.66  cnf(i_0_644, 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))).
% 1.60/0.66  cnf(i_0_993, 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))).
% 1.60/0.66  cnf(i_0_970, 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)))).
% 1.60/0.66  cnf(i_0_979, 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))).
% 1.60/0.66  cnf(i_0_1036, plain, (c_Complete__Lattice_Ocomplete__lattice__class_OINFI(c_Set_Oinsert(X1,X2,X3),X4,X3,tc_fun(X5,tc_bool))=c_Lattices_Olower__semilattice__class_Oinf(hAPP(X4,X1),c_Complete__Lattice_Ocomplete__lattice__class_OINFI(X2,X4,X3,tc_fun(X5,tc_bool)),tc_fun(X5,tc_bool)))).
% 1.60/0.66  cnf(i_0_1037, 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))).
% 1.60/0.66  cnf(i_0_1145, negated_conjecture, (~c_Hoare__Mirabelle_Otriple__valid(v_x,v_xa,t_a))).
% 1.60/0.66  cnf(i_0_995, plain, (c_Suc(X1)!=X1)).
% 1.60/0.66  cnf(i_0_832, plain, (~hBOOL(hAPP(c_Orderings_Obot__class_Obot(tc_fun(X1,tc_bool)),X2)))).
% 1.60/0.66  cnf(i_0_943, plain, (~c_HOL_Oord__class_Oless(X1,X1,tc_fun(X2,tc_bool)))).
% 1.60/0.66  cnf(i_0_784, plain, (c_Set_Oinsert(X1,X2,X3)!=c_Orderings_Obot__class_Obot(tc_fun(X3,tc_bool)))).
% 1.60/0.66  cnf(i_0_708, plain, (~hBOOL(hAPP(hAPP(c_in(X1),X2),c_Orderings_Obot__class_Obot(tc_fun(X1,tc_bool)))))).
% 1.60/0.66  cnf(i_0_809, plain, (~c_HOL_Oord__class_Oless(X1,c_Orderings_Obot__class_Obot(tc_fun(X2,tc_bool)),tc_fun(X2,tc_bool)))).
% 1.60/0.66  cnf(i_0_944, plain, (~c_HOL_Oord__class_Oless(X1,X1,X2)|~class_Orderings_Oorder(X2))).
% 1.60/0.66  cnf(i_0_945, plain, (~class_Orderings_Olinorder(X1)|~c_HOL_Oord__class_Oless(X2,X2,X1))).
% 1.60/0.66  cnf(i_0_946, plain, (~class_Orderings_Opreorder(X1)|~c_HOL_Oord__class_Oless(X2,X2,X1))).
% 1.60/0.66  cnf(i_0_1146, negated_conjecture, (c_Hoare__Mirabelle_Otriple__valid(v_x,X1,t_a)|~hBOOL(hAPP(hAPP(c_in(tc_Hoare__Mirabelle_Otriple(t_a)),X1),v_Ga)))).
% 1.60/0.66  cnf(i_0_807, plain, (X1=X2|c_Suc(X1)!=c_Suc(X2))).
% 1.60/0.66  cnf(i_0_1186, plain, (X1=X2|~c_fequal(X1,X2,X3))).
% 1.60/0.66  cnf(i_0_1160, plain, (class_HOL_Ominus(tc_fun(X1,X2))|~class_HOL_Ominus(X2))).
% 1.60/0.66  cnf(i_0_1153, plain, (class_Lattices_Obounded__lattice(tc_fun(X1,X2))|~class_Lattices_Obounded__lattice(X2))).
% 1.60/0.66  cnf(i_0_888, plain, (~class_Orderings_Olinorder(X1)|~c_lessequals(X2,X3,X1)|~c_HOL_Oord__class_Oless(X3,X2,X1))).
% 1.60/0.66  cnf(i_0_890, plain, (~class_Orderings_Opreorder(X1)|~c_lessequals(X2,X3,X1)|~c_HOL_Oord__class_Oless(X3,X2,X1))).
% 1.60/0.66  cnf(i_0_1157, plain, (class_Orderings_Oorder(tc_fun(X1,X2))|~class_Orderings_Oorder(X2))).
% 1.60/0.66  cnf(i_0_1139, plain, (hBOOL(hAPP(X1,X2))|~hBOOL(hAPP(hAPP(c_in(X3),X2),X1)))).
% 1.60/0.66  cnf(i_0_766, plain, (hAPP(c_Orderings_Obot__class_Obot(tc_fun(t_a,X1)),v_x)=c_Orderings_Obot__class_Obot(X1)|~class_Orderings_Obot(X1))).
% 1.60/0.66  cnf(i_0_1156, plain, (class_Lattices_Olattice(tc_fun(X1,X2))|~class_Lattices_Olattice(X2))).
% 1.60/0.66  cnf(i_0_1151, plain, (class_Lattices_Olower__semilattice(tc_fun(X1,X2))|~class_Lattices_Olattice(X2))).
% 1.60/0.66  cnf(i_0_1150, plain, (class_Lattices_Oupper__semilattice(tc_fun(X1,X2))|~class_Lattices_Olattice(X2))).
% 1.60/0.66  cnf(i_0_1154, plain, (class_Lattices_Oboolean__algebra(tc_fun(X1,X2))|~class_Lattices_Oboolean__algebra(X2))).
% 1.60/0.66  cnf(i_0_1161, plain, (class_HOL_Oord(tc_fun(X1,X2))|~class_HOL_Oord(X2))).
% 1.60/0.66  cnf(i_0_1149, plain, (class_Complete__Lattice_Ocomplete__lattice(tc_fun(X1,X2))|~class_Complete__Lattice_Ocomplete__lattice(X2))).
% 1.60/0.66  cnf(i_0_1155, plain, (class_Orderings_Opreorder(tc_fun(X1,X2))|~class_Orderings_Opreorder(X2))).
% 1.60/0.66  cnf(i_0_1152, plain, (class_Lattices_Odistrib__lattice(tc_fun(X1,X2))|~class_Lattices_Odistrib__lattice(X2))).
% 1.60/0.66  cnf(i_0_1158, plain, (class_Orderings_Obot(tc_fun(X1,X2))|~class_Orderings_Obot(X2))).
% 1.60/0.66  cnf(i_0_1159, plain, (class_HOL_Ouminus(tc_fun(X1,X2))|~class_HOL_Ouminus(X2))).
% 1.60/0.66  cnf(i_0_1140, plain, (c_Hoare__Mirabelle_Ohoare__derivs(X1,X2,X3)|~c_lessequals(X2,X1,tc_fun(tc_Hoare__Mirabelle_Otriple(X3),tc_bool)))).
% 1.60/0.66  cnf(i_0_687, plain, (c_HOL_Ouminus__class_Ouminus(c_HOL_Ouminus__class_Ouminus(X1,X2),X2)=X1|~class_OrderedGroup_Ogroup__add(X2))).
% 1.60/0.66  cnf(i_0_1120, plain, (c_lessequals(X1,X1,X2)|~class_Orderings_Oorder(X2))).
% 1.60/0.66  cnf(i_0_1119, plain, (c_lessequals(X1,X1,X2)|~class_Orderings_Opreorder(X2))).
% 1.60/0.66  cnf(i_0_1038, plain, (~c_HOL_Oord__class_Oless(X1,X2,X3)|~c_HOL_Oord__class_Oless(X2,X1,X3)|~class_Orderings_Oorder(X3))).
% 1.60/0.66  cnf(i_0_1039, plain, (~class_Orderings_Olinorder(X1)|~c_HOL_Oord__class_Oless(X2,X3,X1)|~c_HOL_Oord__class_Oless(X3,X2,X1))).
% 1.60/0.66  cnf(i_0_1138, plain, (hBOOL(hAPP(hAPP(c_in(X1),X2),X3))|~hBOOL(hAPP(X3,X2)))).
% 1.60/0.66  cnf(i_0_1067, plain, (c_Hoare__Mirabelle_Otriple__valid(X1,X2,X3)|~c_Hoare__Mirabelle_Otriple__valid(c_Suc(X1),X2,X3))).
% 1.60/0.66  cnf(i_0_1040, plain, (~class_Orderings_Opreorder(X1)|~c_HOL_Oord__class_Oless(X2,X3,X1)|~c_HOL_Oord__class_Oless(X3,X2,X1))).
% 1.60/0.66  cnf(i_0_1007, plain, (c_SetInterval_Oord__class_OatLeastAtMost(X1,X2,X3)!=c_Orderings_Obot__class_Obot(tc_fun(X3,tc_bool))|~c_lessequals(X1,X2,X3)|~class_Orderings_Oorder(X3))).
% 1.60/0.66  cnf(i_0_1002, plain, (c_SetInterval_Oord__class_OatLeastLessThan(X1,X2,X3)!=c_Orderings_Obot__class_Obot(tc_fun(X3,tc_bool))|~c_HOL_Oord__class_Oless(X1,X2,X3)|~class_Orderings_Oorder(X3))).
% 1.60/0.66  cnf(i_0_1148, negated_conjecture, (c_Hoare__Mirabelle_Otriple__valid(X1,X2,t_a)|~c_Hoare__Mirabelle_Otriple__valid(X1,v_n(X1),t_a)|~hBOOL(hAPP(hAPP(c_in(tc_Hoare__Mirabelle_Otriple(t_a)),X2),v_ts_H)))).
% 1.60/0.66  cnf(i_0_1042, plain, (c_lessequals(X1,X2,tc_fun(X3,tc_bool))|~c_HOL_Oord__class_Oless(X1,X2,tc_fun(X3,tc_bool)))).
% 1.60/0.66  cnf(i_0_674, plain, (hBOOL(hAPP(X1,X2))|~hBOOL(hAPP(c_Lattices_Olower__semilattice__class_Oinf(X3,X1,tc_fun(X4,tc_bool)),X2)))).
% 1.60/0.66  cnf(i_0_675, plain, (hBOOL(hAPP(X1,X2))|~hBOOL(hAPP(c_Lattices_Olower__semilattice__class_Oinf(X1,X3,tc_fun(X4,tc_bool)),X2)))).
% 1.60/0.66  cnf(i_0_686, plain, (c_HOL_Ouminus__class_Ouminus(c_HOL_Ouminus__class_Ouminus(X1,X2),X2)=X1|~class_Lattices_Oboolean__algebra(X2))).
% 1.60/0.66  cnf(i_0_618, plain, (X1=X2|c_SetInterval_Oord__class_OlessThan(X1,X3)!=c_SetInterval_Oord__class_OlessThan(X2,X3)|~class_Orderings_Olinorder(X3))).
% 1.60/0.66  cnf(i_0_969, plain, (X1=X2|c_SetInterval_Oord__class_OatLeast(X1,X3)!=c_SetInterval_Oord__class_OatLeast(X2,X3)|~class_Orderings_Olinorder(X3))).
% 1.60/0.66  cnf(i_0_745, plain, (c_Lattices_Oupper__semilattice__class_Osup(X1,X1,X2)=X1|~class_Lattices_Oupper__semilattice(X2))).
% 1.60/0.66  cnf(i_0_938, plain, (X1=c_Orderings_Obot__class_Obot(tc_fun(X2,tc_bool))|~c_lessequals(X1,c_Orderings_Obot__class_Obot(tc_fun(X2,tc_bool)),tc_fun(X2,tc_bool)))).
% 1.60/0.66  cnf(i_0_1147, negated_conjecture, (c_Hoare__Mirabelle_Otriple__valid(X1,X2,t_a)|hBOOL(hAPP(hAPP(c_in(tc_Hoare__Mirabelle_Otriple(t_a)),v_n(X1)),v_Ga))|~hBOOL(hAPP(hAPP(c_in(tc_Hoare__Mirabelle_Otriple(t_a)),X2),v_ts_H)))).
% 1.60/0.66  cnf(i_0_720, plain, (~hBOOL(hAPP(hAPP(c_in(X1),X2),c_HOL_Ouminus__class_Ouminus(X3,tc_fun(X1,tc_bool))))|~hBOOL(hAPP(hAPP(c_in(X1),X2),X3)))).
% 1.60/0.66  cnf(i_0_997, plain, (c_Lattices_Olower__semilattice__class_Oinf(X1,X1,X2)=X1|~class_Lattices_Olower__semilattice(X2))).
% 1.60/0.66  cnf(i_0_1011, plain, (X1=X2|c_SetInterval_Oord__class_OatMost(X1,X3)!=c_SetInterval_Oord__class_OatMost(X2,X3)|~class_Orderings_Olinorder(X3))).
% 1.60/0.66  cnf(i_0_787, plain, (X1=X2|c_SetInterval_Oord__class_OgreaterThan(X1,X3)!=c_SetInterval_Oord__class_OgreaterThan(X2,X3)|~class_Orderings_Olinorder(X3))).
% 1.60/0.66  cnf(i_0_878, plain, (c_lessequals(X1,X2,X3)|~c_HOL_Oord__class_Oless(X1,X2,X3)|~class_Orderings_Oorder(X3))).
% 1.60/0.66  cnf(i_0_877, plain, (c_lessequals(X1,X2,X3)|~class_Orderings_Opreorder(X3)|~c_HOL_Oord__class_Oless(X1,X2,X3))).
% 1.60/0.66  cnf(i_0_739, plain, (c_Set_Oinsert(X1,X2,X3)=X2|~hBOOL(hAPP(hAPP(c_in(X3),X1),X2)))).
% 1.60/0.66  cnf(i_0_939, plain, (c_lessequals(X1,X2,tc_fun(X3,tc_bool))|c_Lattices_Oupper__semilattice__class_Osup(X1,X2,tc_fun(X3,tc_bool))!=X2)).
% 1.60/0.66  cnf(i_0_880, plain, (c_lessequals(c_Orderings_Obot__class_Obot(X1),X2,X1)|~class_Orderings_Obot(X1))).
% 1.60/0.66  cnf(i_0_951, plain, (X1=X2|c_HOL_Ouminus__class_Ouminus(X1,tc_fun(X3,tc_bool))!=c_HOL_Ouminus__class_Ouminus(X2,tc_fun(X3,tc_bool)))).
% 1.60/0.66  cnf(i_0_949, plain, (X1=X2|c_HOL_Ouminus__class_Ouminus(X1,X3)!=c_HOL_Ouminus__class_Ouminus(X2,X3)|~class_Lattices_Oboolean__algebra(X3))).
% 1.60/0.66  cnf(i_0_950, plain, (X1=X2|c_HOL_Ouminus__class_Ouminus(X1,X3)!=c_HOL_Ouminus__class_Ouminus(X2,X3)|~class_OrderedGroup_Ogroup__add(X3))).
% 1.60/0.66  cnf(i_0_919, plain, (~class_HOL_Oord(X1)|~c_lessequals(X2,X3,tc_fun(X4,X1))|~c_HOL_Oord__class_Oless(X3,X2,tc_fun(X4,X1)))).
% 1.60/0.66  cnf(i_0_600, 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))).
% 1.60/0.66  cnf(i_0_931, plain, (c_lessequals(X1,X2,tc_fun(X3,tc_bool))|~hBOOL(hAPP(X2,c_ATP__Linkup_Osko__Predicate__Xpredicate1I__1__1(X1,X2,X3))))).
% 1.60/0.66  cnf(i_0_1136, plain, (X1=X2|~c_lessequals(X2,X1,tc_fun(X3,tc_bool))|~c_lessequals(X1,X2,tc_fun(X3,tc_bool)))).
% 1.60/0.66  cnf(i_0_821, plain, (c_Lattices_Oupper__semilattice__class_Osup(X1,c_Orderings_Obot__class_Obot(X2),X2)=X1|~class_Lattices_Obounded__lattice(X2))).
% 1.60/0.66  cnf(i_0_601, 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))).
% 1.60/0.66  cnf(i_0_875, plain, (c_lessequals(X1,X2,X3)|c_Lattices_Oupper__semilattice__class_Osup(X1,X2,X3)!=X2|~class_Lattices_Oupper__semilattice(X3))).
% 1.60/0.66  cnf(i_0_892, plain, (c_lessequals(X1,X2,X3)|c_Lattices_Olower__semilattice__class_Oinf(X1,X2,X3)!=X1|~class_Lattices_Olower__semilattice(X3))).
% 1.60/0.66  cnf(i_0_1133, plain, (X1=X2|~c_lessequals(X2,X1,X3)|~c_lessequals(X1,X2,X3)|~class_Orderings_Oorder(X3))).
% 1.60/0.66  cnf(i_0_1013, plain, (X1=c_Orderings_Obot__class_Obot(tc_fun(X2,tc_bool))|~c_lessequals(X1,c_HOL_Ouminus__class_Ouminus(X1,tc_fun(X2,tc_bool)),tc_fun(X2,tc_bool)))).
% 1.60/0.66  cnf(i_0_603, 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)))).
% 1.60/0.66  cnf(i_0_602, 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)))).
% 1.60/0.66  cnf(i_0_822, plain, (c_Lattices_Oupper__semilattice__class_Osup(c_Orderings_Obot__class_Obot(X1),X2,X1)=X2|~class_Lattices_Obounded__lattice(X1))).
% 1.60/0.66  cnf(i_0_1065, 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))).
% 1.60/0.66  cnf(i_0_634, 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))).
% 1.60/0.66  cnf(i_0_717, 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)))).
% 1.60/0.66  cnf(i_0_1118, plain, (hBOOL(hAPP(X1,X2))|~c_lessequals(X3,X1,tc_fun(X4,tc_bool))|~hBOOL(hAPP(X3,X2)))).
% 1.60/0.66  cnf(i_0_607, plain, (hBOOL(hAPP(c_Set_Oinsert(X1,X2,X3),X4))|~hBOOL(hAPP(X2,X4)))).
% 1.60/0.66  cnf(i_0_792, 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))).
% 1.60/0.66  cnf(i_0_902, plain, (c_lessequals(X1,X2,X3)|~class_Lattices_Olower__semilattice(X3)|~c_lessequals(X1,c_Lattices_Olower__semilattice__class_Oinf(X4,X2,X3),X3))).
% 1.60/0.66  cnf(i_0_901, plain, (c_lessequals(X1,X2,X3)|~class_Lattices_Olower__semilattice(X3)|~c_lessequals(X1,c_Lattices_Olower__semilattice__class_Oinf(X2,X4,X3),X3))).
% 1.60/0.66  cnf(i_0_789, plain, (X1=X2|hBOOL(hAPP(X3,X1))|~hBOOL(hAPP(c_Set_Oinsert(X2,X3,X4),X1)))).
% 1.60/0.66  cnf(i_0_941, plain, (c_Lattices_Oupper__semilattice__class_Osup(X1,X2,tc_fun(X3,tc_bool))=X2|~c_lessequals(X1,X2,tc_fun(X3,tc_bool)))).
% 1.60/0.66  cnf(i_0_940, plain, (c_Lattices_Oupper__semilattice__class_Osup(X1,X2,tc_fun(X3,tc_bool))=X1|~c_lessequals(X2,X1,tc_fun(X3,tc_bool)))).
% 1.60/0.66  cnf(i_0_1052, plain, (c_Lattices_Olower__semilattice__class_Oinf(X1,X2,tc_fun(X3,tc_bool))=X2|~c_lessequals(X2,X1,tc_fun(X3,tc_bool)))).
% 1.60/0.66  cnf(i_0_793, 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))).
% 1.60/0.66  cnf(i_0_861, plain, (c_lessequals(X1,X2,X3)|~class_Lattices_Oupper__semilattice(X3)|~c_lessequals(c_Lattices_Oupper__semilattice__class_Osup(X4,X1,X3),X2,X3))).
% 1.60/0.66  cnf(i_0_860, plain, (c_lessequals(X1,X2,X3)|~class_Lattices_Oupper__semilattice(X3)|~c_lessequals(c_Lattices_Oupper__semilattice__class_Osup(X1,X4,X3),X2,X3))).
% 1.60/0.66  cnf(i_0_799, plain, (c_Complete__Lattice_OSup__class_OSup(c_Orderings_Obot__class_Obot(tc_fun(X1,tc_bool)),X1)=c_Orderings_Obot__class_Obot(X1)|~class_Complete__Lattice_Ocomplete__lattice(X1))).
% 1.60/0.66  cnf(i_0_1051, plain, (c_Lattices_Olower__semilattice__class_Oinf(X1,X2,tc_fun(X3,tc_bool))=X1|~c_lessequals(X1,X2,tc_fun(X3,tc_bool)))).
% 1.60/0.66  cnf(i_0_1022, plain, (hBOOL(hAPP(X1,hAPP(X2,X3)))|~hBOOL(hAPP(c_Set_Ovimage(X2,X1,X4,X5),X3)))).
% 1.60/0.66  cnf(i_0_1003, 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)))).
% 1.60/0.66  cnf(i_0_616, plain, (c_HOL_Ouminus__class_Ouminus(c_SetInterval_Oord__class_OlessThan(X1,X2),tc_fun(X2,tc_bool))=c_SetInterval_Oord__class_OatLeast(X1,X2)|~class_Orderings_Olinorder(X2))).
% 1.60/0.66  cnf(i_0_874, plain, (c_Lattices_Oupper__semilattice__class_Osup(X1,X2,X3)=X2|~class_Lattices_Oupper__semilattice(X3)|~c_lessequals(X1,X2,X3))).
% 1.60/0.66  cnf(i_0_876, plain, (c_Lattices_Oupper__semilattice__class_Osup(X1,X2,X3)=X1|~class_Lattices_Oupper__semilattice(X3)|~c_lessequals(X2,X1,X3))).
% 1.60/0.66  cnf(i_0_893, plain, (c_Lattices_Olower__semilattice__class_Oinf(X1,X2,X3)=X2|~class_Lattices_Olower__semilattice(X3)|~c_lessequals(X2,X1,X3))).
% 1.60/0.66  cnf(i_0_755, 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))))).
% 1.60/0.66  cnf(i_0_811, plain, (hBOOL(hAPP(c_Lattices_Oupper__semilattice__class_Osup(X1,X2,tc_fun(X3,tc_bool)),X4))|~hBOOL(hAPP(X2,X4)))).
% 1.60/0.66  cnf(i_0_812, plain, (hBOOL(hAPP(c_Lattices_Oupper__semilattice__class_Osup(X1,X2,tc_fun(X3,tc_bool)),X4))|~hBOOL(hAPP(X1,X4)))).
% 1.60/0.66  cnf(i_0_762, plain, (c_HOL_Ouminus__class_Ouminus(c_SetInterval_Oord__class_OatLeast(X1,X2),tc_fun(X2,tc_bool))=c_SetInterval_Oord__class_OlessThan(X1,X2)|~class_Orderings_Olinorder(X2))).
% 1.60/0.66  cnf(i_0_891, plain, (c_Lattices_Olower__semilattice__class_Oinf(X1,X2,X3)=X1|~class_Lattices_Olower__semilattice(X3)|~c_lessequals(X1,X2,X3))).
% 1.60/0.66  cnf(i_0_829, plain, (c_HOL_Oord__class_Oless(X1,X2,X3)|~class_OrderedGroup_Opordered__ab__group__add(X3)|~c_HOL_Oord__class_Oless(c_HOL_Ouminus__class_Ouminus(X2,X3),c_HOL_Ouminus__class_Ouminus(X1,X3),X3))).
% 1.60/0.66  cnf(i_0_882, plain, (c_lessequals(X1,X2,X3)|~class_OrderedGroup_Opordered__ab__group__add(X3)|~c_lessequals(c_HOL_Ouminus__class_Ouminus(X2,X3),c_HOL_Ouminus__class_Ouminus(X1,X3),X3))).
% 1.60/0.66  cnf(i_0_887, plain, (c_lessequals(X1,X2,X3)|c_HOL_Oord__class_Oless(X2,X1,X3)|~class_Orderings_Olinorder(X3))).
% 1.60/0.66  cnf(i_0_1050, plain, (c_lessequals(X1,X2,tc_fun(X3,tc_bool))|~c_lessequals(c_Set_Oinsert(X4,X1,X3),X2,tc_fun(X3,tc_bool)))).
% 1.60/0.66  cnf(i_0_1093, plain, (hBOOL(hAPP(hAPP(c_in(X1),X2),X3))|~c_lessequals(c_Set_Oinsert(X2,X4,X1),X3,tc_fun(X1,tc_bool)))).
% 1.60/0.66  cnf(i_0_1081, plain, (c_lessequals(X1,X2,tc_fun(X3,tc_bool))|~hBOOL(hAPP(hAPP(c_in(X3),c_ATP__Linkup_Osko__Set__XsubsetI__1__1(X1,X2,X3)),X2)))).
% 1.60/0.66  cnf(i_0_1090, plain, (c_lessequals(X1,X2,tc_fun(X3,tc_bool))|~hBOOL(hAPP(hAPP(c_in(X3),c_ATP__Linkup_Osko__Set__Xsubset__iff__1__1(X1,X2,X3)),X2)))).
% 1.60/0.66  cnf(i_0_830, plain, (c_HOL_Ouminus__class_Ouminus(c_SetInterval_Oord__class_OatMost(X1,X2),tc_fun(X2,tc_bool))=c_SetInterval_Oord__class_OgreaterThan(X1,X2)|~class_Orderings_Olinorder(X2))).
% 1.60/0.66  cnf(i_0_642, plain, (c_HOL_Oord__class_Oless(X1,X2,X3)|~class_HOL_Oord(X3)|~hBOOL(hAPP(hAPP(c_in(X3),X2),c_SetInterval_Oord__class_OgreaterThan(X1,X3))))).
% 1.60/0.66  cnf(i_0_1059, plain, (c_lessequals(X1,X2,tc_fun(X3,tc_bool))|~c_lessequals(X1,c_Lattices_Olower__semilattice__class_Oinf(X4,X2,tc_fun(X3,tc_bool)),tc_fun(X3,tc_bool)))).
% 1.60/0.66  cnf(i_0_1060, plain, (c_lessequals(X1,X2,tc_fun(X3,tc_bool))|~c_lessequals(X1,c_Lattices_Olower__semilattice__class_Oinf(X2,X4,tc_fun(X3,tc_bool)),tc_fun(X3,tc_bool)))).
% 1.60/0.66  cnf(i_0_929, plain, (c_lessequals(X1,X2,tc_fun(X3,tc_bool))|~c_lessequals(c_Lattices_Oupper__semilattice__class_Osup(X4,X1,tc_fun(X3,tc_bool)),X2,tc_fun(X3,tc_bool)))).
% 1.60/0.66  cnf(i_0_1020, plain, (c_HOL_Ouminus__class_Ouminus(c_SetInterval_Oord__class_OgreaterThan(X1,X2),tc_fun(X2,tc_bool))=c_SetInterval_Oord__class_OatMost(X1,X2)|~class_Orderings_Olinorder(X2))).
% 1.60/0.66  cnf(i_0_779, plain, (c_HOL_Oord__class_Oless(X1,X2,X3)|~class_HOL_Oord(X3)|~hBOOL(hAPP(hAPP(c_in(X3),X1),c_SetInterval_Oord__class_OlessThan(X2,X3))))).
% 1.60/0.66  cnf(i_0_1078, plain, (c_lessequals(X1,X2,X3)|~class_HOL_Oord(X3)|~hBOOL(hAPP(hAPP(c_in(X3),X2),c_SetInterval_Oord__class_OatLeast(X1,X3))))).
% 1.60/0.66  cnf(i_0_1075, plain, (c_lessequals(X1,X2,X3)|~class_HOL_Oord(X3)|~hBOOL(hAPP(hAPP(c_in(X3),X1),c_SetInterval_Oord__class_OatMost(X2,X3))))).
% 1.60/0.66  cnf(i_0_848, plain, (X1=X2|c_HOL_Oord__class_Oless(X1,X2,X3)|~c_lessequals(X1,X2,X3)|~class_Orderings_Oorder(X3))).
% 1.60/0.66  cnf(i_0_930, plain, (c_lessequals(X1,X2,tc_fun(X3,tc_bool))|~c_lessequals(c_Lattices_Oupper__semilattice__class_Osup(X1,X4,tc_fun(X3,tc_bool)),X2,tc_fun(X3,tc_bool)))).
% 1.60/0.66  cnf(i_0_810, 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)))).
% 1.60/0.66  cnf(i_0_718, 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)))))).
% 1.60/0.66  cnf(i_0_725, 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)))))).
% 1.60/0.66  cnf(i_0_767, plain, (c_Lattices_Olower__semilattice__class_Oinf(X1,c_HOL_Ouminus__class_Ouminus(X1,X2),X2)=c_Orderings_Obot__class_Obot(X2)|~class_Lattices_Oboolean__algebra(X2))).
% 1.60/0.66  cnf(i_0_726, 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)))))).
% 1.60/0.66  cnf(i_0_981, plain, (hAPP(c_HOL_Ouminus__class_Ouminus(X1,tc_fun(t_a,X2)),v_x)=c_HOL_Ouminus__class_Ouminus(hAPP(X1,v_x),X2)|~class_HOL_Ouminus(X2))).
% 1.60/0.66  cnf(i_0_920, plain, (X1=X2|c_HOL_Oord__class_Oless(X1,X2,tc_fun(X3,tc_bool))|~c_lessequals(X1,X2,tc_fun(X3,tc_bool)))).
% 1.60/0.66  cnf(i_0_768, plain, (c_Lattices_Olower__semilattice__class_Oinf(c_HOL_Ouminus__class_Ouminus(X1,X2),X1,X2)=c_Orderings_Obot__class_Obot(X2)|~class_Lattices_Oboolean__algebra(X2))).
% 1.60/0.66  cnf(i_0_846, plain, (X1=X2|c_HOL_Oord__class_Oless(X1,X2,X3)|~class_Orderings_Olinorder(X3)|~c_lessequals(X1,X2,X3))).
% 1.60/0.66  cnf(i_0_899, plain, (c_lessequals(X1,c_Lattices_Oupper__semilattice__class_Osup(X2,X1,X3),X3)|~class_Lattices_Olattice(X3))).
% 1.60/0.66  cnf(i_0_1132, 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))).
% 1.60/0.66  cnf(i_0_1047, plain, (c_lessequals(X1,X2,tc_fun(X3,tc_bool))|~c_lessequals(c_HOL_Ouminus__class_Ouminus(X2,tc_fun(X3,tc_bool)),c_HOL_Ouminus__class_Ouminus(X1,tc_fun(X3,tc_bool)),tc_fun(X3,tc_bool)))).
% 1.60/0.66  cnf(i_0_1025, 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)))).
% 1.60/0.66  cnf(i_0_649, plain, (c_Lattices_Oupper__semilattice__class_Osup(X1,X2,X3)=c_Lattices_Oupper__semilattice__class_Osup(X2,X1,X3)|~class_Lattices_Olattice(X3))).
% 1.60/0.66  cnf(i_0_896, plain, (c_lessequals(X1,c_Lattices_Oupper__semilattice__class_Osup(X2,X1,X3),X3)|~class_Lattices_Oupper__semilattice(X3))).
% 1.60/0.66  cnf(i_0_900, plain, (c_lessequals(X1,c_Lattices_Oupper__semilattice__class_Osup(X1,X2,X3),X3)|~class_Lattices_Olattice(X3))).
% 1.60/0.66  cnf(i_0_895, plain, (c_lessequals(X1,c_Lattices_Oupper__semilattice__class_Osup(X1,X2,X3),X3)|~class_Lattices_Oupper__semilattice(X3))).
% 1.60/0.66  cnf(i_0_872, plain, (c_lessequals(c_Lattices_Olower__semilattice__class_Oinf(X1,X2,X3),X2,X3)|~class_Lattices_Olattice(X3))).
% 1.60/0.66  cnf(i_0_868, plain, (c_lessequals(c_Lattices_Olower__semilattice__class_Oinf(X1,X2,X3),X2,X3)|~class_Lattices_Olower__semilattice(X3))).
% 1.60/0.66  cnf(i_0_1061, plain, (c_lessequals(X1,X2,tc_fun(X3,tc_bool))|hBOOL(hAPP(X1,c_ATP__Linkup_Osko__Predicate__Xpredicate1I__1__1(X1,X2,X3))))).
% 1.60/0.66  cnf(i_0_873, plain, (c_lessequals(c_Lattices_Olower__semilattice__class_Oinf(X1,X2,X3),X1,X3)|~class_Lattices_Olattice(X3))).
% 1.60/0.66  cnf(i_0_867, plain, (c_lessequals(c_Lattices_Olower__semilattice__class_Oinf(X1,X2,X3),X1,X3)|~class_Lattices_Olower__semilattice(X3))).
% 1.60/0.66  cnf(i_0_1069, 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)))).
% 1.60/0.66  cnf(i_0_648, plain, (c_Lattices_Oupper__semilattice__class_Osup(X1,X2,X3)=c_Lattices_Oupper__semilattice__class_Osup(X2,X1,X3)|~class_Lattices_Oupper__semilattice(X3))).
% 1.60/0.66  cnf(i_0_917, plain, (c_lessequals(X1,X2,tc_fun(X3,X4))|~class_HOL_Oord(X4)|~c_HOL_Oord__class_Oless(X1,X2,tc_fun(X3,X4)))).
% 1.60/0.66  cnf(i_0_1101, plain, (c_lessequals(X1,X2,X3)|~c_lessequals(c_SetInterval_Oord__class_OatLeast(X2,X3),c_SetInterval_Oord__class_OatLeast(X1,X3),tc_fun(X3,tc_bool))|~class_Orderings_Oorder(X3))).
% 1.60/0.66  cnf(i_0_1107, plain, (c_lessequals(X1,X2,X3)|~c_lessequals(c_SetInterval_Oord__class_OatMost(X1,X3),c_SetInterval_Oord__class_OatMost(X2,X3),tc_fun(X3,tc_bool))|~class_Orderings_Oorder(X3))).
% 1.60/0.66  cnf(i_0_1111, plain, (c_lessequals(X1,X2,X3)|~class_Orderings_Olinorder(X3)|~c_lessequals(c_SetInterval_Oord__class_OlessThan(X1,X3),c_SetInterval_Oord__class_OlessThan(X2,X3),tc_fun(X3,tc_bool)))).
% 1.60/0.66  cnf(i_0_1116, plain, (c_lessequals(X1,X2,X3)|c_lessequals(X2,X1,X3)|~class_Orderings_Olinorder(X3))).
% 1.60/0.66  cnf(i_0_1070, 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)))).
% 1.60/0.66  cnf(i_0_1122, plain, (c_Hoare__Mirabelle_Ohoare__derivs(X1,X2,X3)|~c_lessequals(X4,X1,tc_fun(tc_Hoare__Mirabelle_Otriple(X3),tc_bool))|~c_Hoare__Mirabelle_Ohoare__derivs(X4,X2,X3))).
% 1.60/0.66  cnf(i_0_1117, plain, (c_Hoare__Mirabelle_Ohoare__derivs(X1,X2,X3)|~c_lessequals(X2,X4,tc_fun(tc_Hoare__Mirabelle_Otriple(X3),tc_bool))|~c_Hoare__Mirabelle_Ohoare__derivs(X1,X4,X3))).
% 1.60/0.66  cnf(i_0_1072, plain, (c_lessequals(X1,c_Complete__Lattice_OSup__class_OSup(X2,X3),X3)|~class_Complete__Lattice_Ocomplete__lattice(X3)|~hBOOL(hAPP(hAPP(c_in(X3),X1),X2)))).
% 1.60/0.66  cnf(i_0_620, plain, (c_Lattices_Olower__semilattice__class_Oinf(X1,X2,X3)=c_Lattices_Olower__semilattice__class_Oinf(X2,X1,X3)|~class_Lattices_Olattice(X3))).
% 1.60/0.66  cnf(i_0_1109, plain, (c_lessequals(X1,X2,X3)|~class_Orderings_Olinorder(X3)|~c_lessequals(c_SetInterval_Oord__class_OgreaterThan(X2,X3),c_SetInterval_Oord__class_OgreaterThan(X1,X3),tc_fun(X3,tc_bool)))).
% 1.60/0.66  cnf(i_0_948, plain, (c_SetInterval_Oord__class_OatLeastAtMost(X1,X2,X3)=c_Orderings_Obot__class_Obot(tc_fun(X3,tc_bool))|~c_HOL_Oord__class_Oless(X2,X1,X3)|~class_Orderings_Oorder(X3))).
% 1.60/0.66  cnf(i_0_942, plain, (c_SetInterval_Oord__class_OatLeastLessThan(X1,X2,X3)=c_Orderings_Obot__class_Obot(tc_fun(X3,tc_bool))|~c_lessequals(X2,X1,X3)|~class_Orderings_Oorder(X3))).
% 1.60/0.66  cnf(i_0_613, 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))).
% 1.60/0.66  cnf(i_0_1073, plain, (c_lessequals(c_Complete__Lattice_OInf__class_OInf(X1,X2),X3,X2)|~class_Complete__Lattice_Ocomplete__lattice(X2)|~hBOOL(hAPP(hAPP(c_in(X2),X3),X1)))).
% 1.60/0.66  cnf(i_0_754, 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)))).
% 1.60/0.66  cnf(i_0_1023, plain, (hBOOL(hAPP(c_Set_Ovimage(X1,X2,X3,X4),X5))|~hBOOL(hAPP(X2,hAPP(X1,X5))))).
% 1.60/0.66  cnf(i_0_621, plain, (c_Lattices_Olower__semilattice__class_Oinf(X1,X2,X3)=c_Lattices_Olower__semilattice__class_Oinf(X2,X1,X3)|~class_Lattices_Olower__semilattice(X3))).
% 1.60/0.66  cnf(i_0_947, plain, (c_Lattices_Oupper__semilattice__class_Osup(X1,c_Lattices_Olower__semilattice__class_Oinf(X1,X2,X3),X3)=X1|~class_Lattices_Olattice(X3))).
% 1.60/0.66  cnf(i_0_960, plain, (c_Lattices_Olower__semilattice__class_Oinf(X1,c_Lattices_Oupper__semilattice__class_Osup(X1,X2,X3),X3)=X1|~class_Lattices_Olattice(X3))).
% 1.60/0.66  cnf(i_0_879, plain, (c_lessequals(X1,X2,X3)|c_HOL_Oord__class_Oless(X2,X1,X3)|~class_Orderings_Opreorder(X3)|~c_lessequals(X2,X1,X3))).
% 1.60/0.66  cnf(i_0_742, plain, (c_HOL_Oord__class_Oless(X1,X2,X3)|~c_HOL_Oord__class_Oless(X4,X2,X3)|~c_HOL_Oord__class_Oless(X1,X4,X3)|~class_Orderings_Oorder(X3))).
% 1.60/0.66  cnf(i_0_859, plain, (c_HOL_Oord__class_Oless(X1,X2,X3)|~c_lessequals(X1,X4,X3)|~c_HOL_Oord__class_Oless(X4,X2,X3)|~class_Orderings_Oorder(X3))).
% 1.60/0.66  cnf(i_0_1077, plain, (hBOOL(hAPP(hAPP(c_in(X1),X2),c_SetInterval_Oord__class_OatLeast(X3,X1)))|~class_HOL_Oord(X1)|~c_lessequals(X3,X2,X1))).
% 1.60/0.66  cnf(i_0_1074, plain, (hBOOL(hAPP(hAPP(c_in(X1),X2),c_SetInterval_Oord__class_OatMost(X3,X1)))|~class_HOL_Oord(X1)|~c_lessequals(X2,X3,X1))).
% 1.60/0.66  cnf(i_0_1123, plain, (c_lessequals(X1,X2,tc_fun(X3,tc_bool))|~c_lessequals(X4,X2,tc_fun(X3,tc_bool))|~c_lessequals(X1,X4,tc_fun(X3,tc_bool)))).
% 1.60/0.66  cnf(i_0_1049, plain, (c_lessequals(X1,c_Set_Oinsert(X2,X3,X4),tc_fun(X4,tc_bool))|~c_lessequals(X1,X3,tc_fun(X4,tc_bool)))).
% 1.60/0.66  cnf(i_0_956, plain, (X1=X2|c_HOL_Oord__class_Oless(X1,X2,X3)|c_HOL_Oord__class_Oless(X2,X1,X3)|~class_Orderings_Olinorder(X3))).
% 1.60/0.66  cnf(i_0_858, plain, (c_HOL_Oord__class_Oless(X1,X2,X3)|~c_lessequals(X4,X2,X3)|~c_HOL_Oord__class_Oless(X1,X4,X3)|~class_Orderings_Oorder(X3))).
% 1.60/0.66  cnf(i_0_744, 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))).
% 1.60/0.66  cnf(i_0_857, 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))).
% 1.60/0.66  cnf(i_0_856, 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))).
% 1.60/0.66  cnf(i_0_1006, plain, (c_SetInterval_Oord__class_OatLeastAtMost(X1,X2,X3)=c_Orderings_Obot__class_Obot(tc_fun(X3,tc_bool))|c_lessequals(X1,X2,X3)|~class_Orderings_Oorder(X3))).
% 1.60/0.66  cnf(i_0_712, plain, (X1=X2|hBOOL(hAPP(hAPP(c_in(X3),X1),X4))|~hBOOL(hAPP(hAPP(c_in(X3),X1),c_Set_Oinsert(X2,X4,X3))))).
% 1.60/0.66  cnf(i_0_676, plain, (c_Lattices_Olower__semilattice__class_Oinf(X1,X2,tc_fun(X3,tc_bool))=c_Orderings_Obot__class_Obot(tc_fun(X3,tc_bool))|~c_lessequals(X1,c_HOL_Ouminus__class_Ouminus(X2,tc_fun(X3,tc_bool)),tc_fun(X3,tc_bool)))).
% 1.60/0.66  cnf(i_0_719, plain, (hBOOL(hAPP(hAPP(c_in(X1),X2),c_HOL_Ouminus__class_Ouminus(X3,tc_fun(X1,tc_bool))))|hBOOL(hAPP(hAPP(c_in(X1),X2),X3)))).
% 1.60/0.66  cnf(i_0_1131, plain, (c_lessequals(X1,X2,X3)|~c_lessequals(X4,X2,X3)|~c_lessequals(X1,X4,X3)|~class_Orderings_Oorder(X3))).
% 1.60/0.66  cnf(i_0_1130, plain, (c_lessequals(X1,X2,X3)|~class_Orderings_Opreorder(X3)|~c_lessequals(X4,X2,X3)|~c_lessequals(X1,X4,X3))).
% 1.60/0.66  cnf(i_0_691, plain, (c_HOL_Oord__class_Oless(X1,c_Lattices_Oupper__semilattice__class_Osup(X2,X3,X4),X4)|~class_Lattices_Oupper__semilattice(X4)|~c_HOL_Oord__class_Oless(X1,X3,X4))).
% 1.60/0.66  cnf(i_0_690, plain, (c_HOL_Oord__class_Oless(X1,c_Lattices_Oupper__semilattice__class_Osup(X2,X3,X4),X4)|~class_Lattices_Oupper__semilattice(X4)|~c_HOL_Oord__class_Oless(X1,X2,X4))).
% 1.60/0.66  cnf(i_0_701, plain, (hBOOL(hAPP(hAPP(c_in(X1),X2),c_Set_Oinsert(X3,X4,X1)))|~hBOOL(hAPP(hAPP(c_in(X1),X2),X4)))).
% 1.60/0.66  cnf(i_0_1125, plain, (hBOOL(hAPP(hAPP(c_in(X1),X2),X3))|~c_lessequals(X4,X3,tc_fun(X1,tc_bool))|~hBOOL(hAPP(hAPP(c_in(X1),X2),X4)))).
% 1.60/0.66  cnf(i_0_961, plain, (c_HOL_Oord__class_Oless(c_Lattices_Olower__semilattice__class_Oinf(X1,X2,X3),X4,X3)|~class_Lattices_Olower__semilattice(X3)|~c_HOL_Oord__class_Oless(X2,X4,X3))).
% 1.60/0.66  cnf(i_0_962, plain, (c_HOL_Oord__class_Oless(c_Lattices_Olower__semilattice__class_Oinf(X1,X2,X3),X4,X3)|~class_Lattices_Olower__semilattice(X3)|~c_HOL_Oord__class_Oless(X1,X4,X3))).
% 1.60/0.66  cnf(i_0_1027, 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))).
% 1.60/0.66  cnf(i_0_737, 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))))).
% 1.60/0.66  cnf(i_0_855, 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))).
% 1.60/0.66  cnf(i_0_863, plain, (c_lessequals(X1,c_Lattices_Oupper__semilattice__class_Osup(X2,X3,X4),X4)|~class_Lattices_Oupper__semilattice(X4)|~c_lessequals(X1,X3,X4))).
% 1.60/0.66  cnf(i_0_862, plain, (c_lessequals(X1,c_Lattices_Oupper__semilattice__class_Osup(X2,X3,X4),X4)|~class_Lattices_Oupper__semilattice(X4)|~c_lessequals(X1,X2,X4))).
% 1.60/0.66  cnf(i_0_666, plain, (c_Complete__Lattice_OInf__class_OInf(c_Set_Oinsert(X1,c_Orderings_Obot__class_Obot(tc_fun(X2,tc_bool)),X2),X2)=X1|~class_Complete__Lattice_Ocomplete__lattice(X2))).
% 1.60/0.66  cnf(i_0_780, plain, (hBOOL(hAPP(hAPP(c_in(X1),X2),c_SetInterval_Oord__class_OlessThan(X3,X1)))|~class_HOL_Oord(X1)|~c_HOL_Oord__class_Oless(X2,X3,X1))).
% 1.60/0.66  cnf(i_0_643, plain, (hBOOL(hAPP(hAPP(c_in(X1),X2),c_SetInterval_Oord__class_OgreaterThan(X3,X1)))|~class_HOL_Oord(X1)|~c_HOL_Oord__class_Oless(X3,X2,X1))).
% 1.60/0.66  cnf(i_0_707, 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)))).
% 1.60/0.66  cnf(i_0_955, 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))).
% 1.60/0.66  cnf(i_0_1000, plain, (c_Complete__Lattice_OSup__class_OSup(c_Set_Oinsert(X1,c_Orderings_Obot__class_Obot(tc_fun(X2,tc_bool)),X2),X2)=X1|~class_Complete__Lattice_Ocomplete__lattice(X2))).
% 1.60/0.66  cnf(i_0_904, plain, (c_lessequals(c_Lattices_Olower__semilattice__class_Oinf(X1,X2,X3),X4,X3)|~class_Lattices_Olower__semilattice(X3)|~c_lessequals(X2,X4,X3))).
% 1.60/0.66  cnf(i_0_903, plain, (c_lessequals(c_Lattices_Olower__semilattice__class_Oinf(X1,X2,X3),X4,X3)|~class_Lattices_Olower__semilattice(X3)|~c_lessequals(X1,X4,X3))).
% 1.60/0.66  cnf(i_0_1004, plain, (c_lessequals(X1,X2,X3)|~c_HOL_Oord__class_Oless(c_SetInterval_Oord__class_OatLeastAtMost(X4,X5,X3),c_SetInterval_Oord__class_OatLeastAtMost(X1,X2,X3),tc_fun(X3,tc_bool))|~class_Orderings_Oorder(X3))).
% 1.60/0.66  cnf(i_0_631, plain, (c_Lattices_Olower__semilattice__class_Oinf(X1,c_HOL_Ouminus__class_Ouminus(X2,X3),X3)=c_HOL_Ominus__class_Ominus(X1,X2,X3)|~class_Lattices_Oboolean__algebra(X3))).
% 1.60/0.66  cnf(i_0_1001, plain, (c_SetInterval_Oord__class_OatLeastLessThan(X1,X2,X3)=c_Orderings_Obot__class_Obot(tc_fun(X3,tc_bool))|c_HOL_Oord__class_Oless(X1,X2,X3)|~class_Orderings_Oorder(X3))).
% 1.60/0.66  cnf(i_0_706, 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)))).
% 1.60/0.66  cnf(i_0_677, plain, (c_lessequals(X1,c_HOL_Ouminus__class_Ouminus(X2,tc_fun(X3,tc_bool)),tc_fun(X3,tc_bool))|c_Lattices_Olower__semilattice__class_Oinf(X1,X2,tc_fun(X3,tc_bool))!=c_Orderings_Obot__class_Obot(tc_fun(X3,tc_bool)))).
% 1.60/0.66  cnf(i_0_728, plain, (X1=X2|c_COMBC(c_in(X3),X1,X3,tc_fun(X3,tc_bool),tc_bool)!=c_COMBC(c_in(X3),X2,X3,tc_fun(X3,tc_bool),tc_bool))).
% 1.60/0.66  cnf(i_0_721, plain, (hBOOL(hAPP(hAPP(c_in(X1),X2),X3))|~c_HOL_Oord__class_Oless(X4,X3,tc_fun(X1,tc_bool))|~hBOOL(hAPP(hAPP(c_in(X1),X2),X4)))).
% 1.60/0.66  cnf(i_0_692, plain, (c_HOL_Ouminus__class_Ouminus(c_HOL_Ominus__class_Ominus(X1,X2,X3),X3)=c_HOL_Ominus__class_Ominus(X2,X1,X3)|~class_OrderedGroup_Oab__group__add(X3))).
% 1.60/0.66  cnf(i_0_695, plain, (c_HOL_Oord__class_Oless(X1,c_HOL_Ouminus__class_Ouminus(X2,X3),X3)|~class_OrderedGroup_Opordered__ab__group__add(X3)|~c_HOL_Oord__class_Oless(X2,c_HOL_Ouminus__class_Ouminus(X1,X3),X3))).
% 1.60/0.66  cnf(i_0_866, plain, (c_lessequals(X1,c_Inductive_Ocomplete__lattice__class_Ogfp(X2,X3),X3)|~class_Complete__Lattice_Ocomplete__lattice(X3)|~c_lessequals(X1,hAPP(X2,X1),X3))).
% 1.60/0.66  cnf(i_0_697, plain, (c_HOL_Oord__class_Oless(c_HOL_Ouminus__class_Ouminus(X1,X2),X3,X2)|~class_OrderedGroup_Opordered__ab__group__add(X2)|~c_HOL_Oord__class_Oless(c_HOL_Ouminus__class_Ouminus(X3,X2),X1,X2))).
% 1.60/0.66  cnf(i_0_753, plain, (c_Lattices_Oupper__semilattice__class_Osup(hAPP(X1,v_x),hAPP(X2,v_x),X3)=hAPP(c_Lattices_Oupper__semilattice__class_Osup(X1,X2,tc_fun(t_a,X3)),v_x)|~class_Lattices_Olattice(X3))).
% 1.60/0.66  cnf(i_0_596, plain, (c_HOL_Ominus__class_Ominus(hAPP(X1,v_x),hAPP(X2,v_x),X3)=hAPP(c_HOL_Ominus__class_Ominus(X1,X2,tc_fun(t_a,X3)),v_x)|~class_HOL_Ominus(X3))).
% 1.60/0.66  cnf(i_0_999, plain, (c_Lattices_Olower__semilattice__class_Oinf(hAPP(X1,v_x),hAPP(X2,v_x),X3)=hAPP(c_Lattices_Olower__semilattice__class_Oinf(X1,X2,tc_fun(t_a,X3)),v_x)|~class_Lattices_Olattice(X3))).
% 1.60/0.66  cnf(i_0_1115, 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)))).
% 1.60/0.66  cnf(i_0_612, plain, (c_SetInterval_Oord__class_OatLeastAtMost(X1,X1,X2)=c_Set_Oinsert(X1,c_Orderings_Obot__class_Obot(tc_fun(X2,tc_bool)),X2# There were 1 total branch saturation attempts.
% 1.60/0.66  # There were 0 of these attempts blocked.
% 1.60/0.66  # There were 0 deferred branch saturation attempts.
% 1.60/0.66  # There were 0 free duplicated saturations.
% 1.60/0.66  # There were 1 total successful branch saturations.
% 1.60/0.66  # There were 0 successful branch saturations in interreduction.
% 1.60/0.66  # There were 0 successful branch saturations on the branch.
% 1.60/0.66  # There were 1 successful branch saturations after the branch.
% 1.60/0.66  )|~class_Orderings_Oorder(X2))).
% 1.60/0.66  cnf(i_0_828, plain, (c_HOL_Oord__class_Oless(c_HOL_Ouminus__class_Ouminus(X1,X2),c_HOL_Ouminus__class_Ouminus(X3,X2),X2)|~class_OrderedGroup_Opordered__ab__group__add(X2)|~c_HOL_Oord__class_Oless(X3,X1,X2))).
% 1.60/0.66  cnf(i_0_881, plain, (c_lessequals(c_HOL_Ouminus__class_Ouminus(X1,X2),c_HOL_Ouminus__class_Ouminus(X3,X2),X2)|~class_OrderedGroup_Opordered__ab__group__add(X2)|~c_lessequals(X3,X1,X2))).
% 1.60/0.66  cnf(i_0_907, plain, (c_lessequals(X1,c_HOL_Ouminus__class_Ouminus(X2,X3),X3)|~class_OrderedGroup_Opordered__ab__group__add(X3)|~c_lessequals(X2,c_HOL_Ouminus__class_Ouminus(X1,X3),X3))).
% 1.60/0.66  cnf(i_0_1092, plain, (c_lessequals(X1,X2,tc_fun(X3,tc_bool))|hBOOL(hAPP(hAPP(c_in(X3),c_ATP__Linkup_Osko__Set__XsubsetI__1__1(X1,X2,X3)),X1)))).
% 1.60/0.66  cnf(i_0_1082, plain, (c_lessequals(X1,X2,tc_fun(X3,tc_bool))|hBOOL(hAPP(hAPP(c_in(X3),c_ATP__Linkup_Osko__Set__Xsubset__iff__1__1(X1,X2,X3)),X1)))).
% 1.60/0.66  cnf(i_0_683, plain, (c_lessequals(X1,c_Lattices_Oupper__semilattice__class_Osup(X2,X3,tc_fun(X4,tc_bool)),tc_fun(X4,tc_bool))|~c_lessequals(c_HOL_Ominus__class_Ominus(X1,X2,tc_fun(X4,tc_bool)),X3,tc_fun(X4,tc_bool)))).
% 1.60/0.66  cnf(i_0_1095, plain, (c_lessequals(X1,X2,tc_fun(X3,tc_bool))|hBOOL(hAPP(hAPP(c_in(X3),X4),X1))|~c_lessequals(X1,c_Set_Oinsert(X4,X2,X3),tc_fun(X3,tc_bool)))).
% 1.60/0.66  cnf(i_0_772, plain, (c_Complete__Lattice_OInf__class_OInf(c_Set_Oinsert(X1,X2,X3),X3)=c_Lattices_Olower__semilattice__class_Oinf(X1,c_Complete__Lattice_OInf__class_OInf(X2,X3),X3)|~class_Complete__Lattice_Ocomplete__lattice(X3))).
% 1.60/0.66  cnf(i_0_778, plain, (c_Complete__Lattice_OSup__class_OSup(c_Set_Oinsert(X1,X2,X3),X3)=c_Lattices_Oupper__semilattice__class_Osup(X1,c_Complete__Lattice_OSup__class_OSup(X2,X3),X3)|~class_Complete__Lattice_Ocomplete__lattice(X3))).
% 1.60/0.66  cnf(i_0_909, plain, (c_lessequals(c_HOL_Ouminus__class_Ouminus(X1,X2),X3,X2)|~class_OrderedGroup_Opordered__ab__group__add(X2)|~c_lessequals(c_HOL_Ouminus__class_Ouminus(X3,X2),X1,X2))).
% 1.60/0.66  cnf(i_0_660, 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))).
% 1.60/0.66  cnf(i_0_659, 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))).
% 1.60/0.66  cnf(i_0_837, 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)))).
% 1.60/0.66  cnf(i_0_1071, 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)))).
% 1.60/0.66  cnf(i_0_713, 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)))))).
% 1.60/0.66  cnf(i_0_987, 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))).
% 1.60/0.66  cnf(i_0_988, 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))).
% 1.60/0.66  cnf(i_0_869, 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))).
% 1.60/0.66  cnf(i_0_894, 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))).
% 1.60/0.66  cnf(i_0_835, plain, (c_HOL_Oord__class_Oless(X1,X2,tc_fun(X3,tc_bool))|~c_HOL_Oord__class_Oless(X1,c_Set_Oinsert(X4,X2,X3),tc_fun(X3,tc_bool))|~hBOOL(hAPP(hAPP(c_in(X3),X4),X2)))).
% 1.60/0.66  cnf(i_0_1046, plain, (c_lessequals(c_HOL_Ouminus__class_Ouminus(X# SZS status Unsatisfiable for /export/starexec/sandbox/benchmark/theBenchmark.p
% 1.60/0.66  # SZS output start for /export/starexec/sandbox/benchmark/theBenchmark.p
% 1.60/0.66  # Begin clausification derivation
% 1.60/0.66  
% 1.60/0.66  # End clausification derivation
% 1.60/0.66  # Begin listing active clauses obtained from FOF to CNF conversion
% 1.60/0.66  cnf(i_0_1183, plain, (class_HOL_Ominus(tc_bool))).
% 1.60/0.66  cnf(i_0_1142, negated_conjecture, (c_Hoare__Mirabelle_Ohoare__derivs(v_Ga,v_ts_H,t_a))).
% 1.60/0.66  cnf(i_0_1143, negated_conjecture, (c_lessequals(v_tsa,v_ts_H,tc_fun(tc_Hoare__Mirabelle_Otriple(t_a),tc_bool)))).
% 1.60/0.66  cnf(i_0_1144, negated_conjecture, (hBOOL(hAPP(hAPP(c_in(tc_Hoare__Mirabelle_Otriple(t_a)),v_xa),v_tsa)))).
% 1.60/0.66  cnf(i_0_1170, plain, (class_HOL_Ominus(tc_nat))).
% 1.60/0.66  cnf(i_0_1176, plain, (class_Lattices_Obounded__lattice(tc_bool))).
% 1.60/0.66  cnf(i_0_1180, plain, (class_Orderings_Oorder(tc_bool))).
% 1.60/0.66  cnf(i_0_1168, plain, (class_Orderings_Oorder(tc_nat))).
% 1.60/0.66  cnf(i_0_1179, plain, (class_Lattices_Olattice(tc_bool))).
% 1.60/0.66  cnf(i_0_1174, plain, (class_Lattices_Olower__semilattice(tc_bool))).
% 1.60/0.66  cnf(i_0_1173, plain, (class_Lattices_Oupper__semilattice(tc_bool))).
% 1.60/0.66  cnf(i_0_1177, plain, (class_Lattices_Oboolean__algebra(tc_bool))).
% 1.60/0.66  cnf(i_0_1184, plain, (class_HOL_Oord(tc_bool))).
% 1.60/0.66  cnf(i_0_1166, plain, (class_Orderings_Olinorder(tc_nat))).
% 1.60/0.66  cnf(i_0_1172, plain, (class_Complete__Lattice_Ocomplete__lattice(tc_bool))).
% 1.60/0.66  cnf(i_0_1167, plain, (class_Lattices_Olattice(tc_nat))).
% 1.60/0.66  cnf(i_0_1163, plain, (class_Lattices_Olower__semilattice(tc_nat))).
% 1.60/0.66  cnf(i_0_1162, plain, (class_Lattices_Oupper__semilattice(tc_nat))).
% 1.60/0.66  cnf(i_0_1171, plain, (class_HOL_Oord(tc_nat))).
% 1.60/0.66  cnf(i_0_1178, plain, (class_Orderings_Opreorder(tc_bool))).
% 1.60/0.66  cnf(i_0_1175, plain, (class_Lattices_Odistrib__lattice(tc_bool))).
% 1.60/0.66  cnf(i_0_1181, plain, (class_Orderings_Obot(tc_bool))).
% 1.60/0.66  cnf(i_0_1182, plain, (class_HOL_Ouminus(tc_bool))).
% 1.60/0.66  cnf(i_0_1165, plain, (class_Orderings_Opreorder(tc_nat))).
% 1.60/0.66  cnf(i_0_1164, plain, (class_Lattices_Odistrib__lattice(tc_nat))).
% 1.60/0.66  cnf(i_0_1169, plain, (class_Orderings_Obot(tc_nat))).
% 1.60/0.66  cnf(i_0_679, plain, (hAPP(c_Fun_Oid(X1),X2)=X2)).
% 1.60/0.66  cnf(i_0_1114, 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))).
% 1.60/0.66  cnf(i_0_1185, plain, (c_fequal(X1,X1,X2))).
% 1.60/0.66  cnf(i_0_1124, plain, (c_lessequals(X1,X1,tc_fun(X2,tc_bool)))).
% 1.60/0.66  cnf(i_0_1066, plain, (c_Hoare__Mirabelle_Ohoare__derivs(X1,c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(X2),tc_bool)),X2))).
% 1.60/0.66  cnf(i_0_746, plain, (c_Lattices_Oupper__semilattice__class_Osup(X1,X1,tc_fun(X2,tc_bool))=X1)).
% 1.60/0.66  cnf(i_0_998, plain, (c_Lattices_Olower__semilattice__class_Oinf(X1,X1,tc_fun(X2,tc_bool))=X1)).
% 1.60/0.66  cnf(i_0_1045, plain, (c_lessequals(c_Orderings_Obot__class_Obot(tc_fun(X1,tc_bool)),X2,tc_fun(X1,tc_bool)))).
% 1.60/0.66  cnf(i_0_986, plain, (hBOOL(hAPP(c_Set_Oinsert(X1,X2,X3),X1)))).
% 1.60/0.66  cnf(i_0_595, plain, (c_Set_Ovimage(c_Fun_Oid(X1),X2,X1,X1)=X2)).
% 1.60/0.66  cnf(i_0_650, plain, (c_Set_Oimage(c_Fun_Oid(X1),X2,X1,X1)=X2)).
% 1.60/0.66  cnf(i_0_804, plain, (c_HOL_Ominus__class_Ominus(X1,X1,tc_fun(X2,tc_bool))=c_Orderings_Obot__class_Obot(tc_fun(X2,tc_bool)))).
% 1.60/0.66  cnf(i_0_684, plain, (c_HOL_Ouminus__class_Ouminus(c_HOL_Ouminus__class_Ouminus(X1,tc_fun(X2,tc_bool)),tc_fun(X2,tc_bool))=X1)).
% 1.60/0.66  cnf(i_0_824, plain, (c_Lattices_Oupper__semilattice__class_Osup(X1,c_Orderings_Obot__class_Obot(tc_fun(X2,tc_bool)),tc_fun(X2,tc_bool))=X1)).
% 1.60/0.66  cnf(i_0_803, plain, (c_HOL_Ominus__class_Ominus(X1,c_Orderings_Obot__class_Obot(tc_fun(X2,tc_bool)),tc_fun(X2,tc_bool))=X1)).
% 1.60/0.66  cnf(i_0_823, plain, (c_Lattices_Oupper__semilattice__class_Osup(c_Orderings_Obot__class_Obot(tc_fun(X1,tc_bool)),X2,tc_fun(X1,tc_bool))=X2)).
% 1.60/0.66  cnf(i_0_748, plain, (c_Fun_Ocomp(X1,c_Fun_Oid(X2),X2,X3,X2)=X1)).
% 1.60/0.66  cnf(i_0_991, plain, (c_Fun_Ofcomp(X1,c_Fun_Oid(X2),X3,X2,X2)=X1)).
% 1.60/0.66  cnf(i_0_747, plain, (c_Fun_Ocomp(c_Fun_Oid(X1),X2,X1,X1,X3)=X2)).
% 1.60/0.66  cnf(i_0_992, plain, (c_Fun_Ofcomp(c_Fun_Oid(X1),X2,X1,X1,X3)=X2)).
% 1.60/0.66  cnf(i_0_1044, plain, (c_lessequals(X1,c_Set_Oinsert(X2,X1,X3),tc_fun(X3,tc_bool)))).
% 1.60/0.66  cnf(i_0_722, plain, (hBOOL(hAPP(hAPP(c_in(X1),X2),c_Set_Oinsert(X2,X3,X1))))).
% 1.60/0.66  cnf(i_0_1054, plain, (c_lessequals(X1,c_Lattices_Oupper__semila1,tc_fun(X2,tc_bool)),c_HOL_Ouminus__class_Ouminus(X3,tc_fun(X2,tc_bool)),tc_fun(X2,tc_bool))|~c_lessequals(X3,X1,tc_fun(X2,tc_bool)))).
% 1.60/0.66  cnf(i_0_927, plain, (c_HOL_Oord__class_Oless(X1,X2,tc_fun(X3,tc_bool))|~c_lessequals(X1,X4,tc_fun(X3,tc_bool))|~c_HOL_Oord__class_Oless(X4,X2,tc_fun(X3,tc_bool)))).
% 1.60/0.66  cnf(i_0_1110, plain, (c_lessequals(c_SetInterval_Oord__class_OlessThan(X1,X2),c_SetInterval_Oord__class_OlessThan(X3,X2),tc_fun(X2,tc_bool))|~class_Orderings_Olinorder(X2)|~c_lessequals(X1,X3,X2))).
% 1.60/0.66  cnf(i_0_681, plain, (c_lessequals(X1,X2,X3)|~c_lessequals(X4,X1,X3)|~c_HOL_Oord__class_Oless(c_SetInterval_Oord__class_OatLeastAtMost(X4,X1,X3),c_SetInterval_Oord__class_OatLeastAtMost(X5,X2,X3),tc_fun(X3,tc_bool))|~class_Orderings_Oorder(X3))).
% 1.60/0.66  cnf(i_0_1104, plain, (c_lessequals(X1,X2,X3)|~c_lessequals(c_SetInterval_Oord__class_OatLeastAtMost(X4,X1,X3),c_SetInterval_Oord__class_OatLeastAtMost(X5,X2,X3),tc_fun(X3,tc_bool))|~c_lessequals(X4,X1,X3)|~class_Orderings_Oorder(X3))).
% 1.60/0.66  cnf(i_0_928, plain, (c_HOL_Oord__class_Oless(X1,X2,tc_fun(X3,tc_bool))|~c_lessequals(X4,X2,tc_fun(X3,tc_bool))|~c_HOL_Oord__class_Oless(X1,X4,tc_fun(X3,tc_bool)))).
% 1.60/0.66  cnf(i_0_1080, plain, (c_lessequals(c_Set_Oinsert(X1,X2,X3),X4,tc_fun(X3,tc_bool))|~c_lessequals(X2,X4,tc_fun(X3,tc_bool))|~hBOOL(hAPP(hAPP(c_in(X3),X1),X4)))).
% 1.60/0.66  cnf(i_0_1100, plain, (c_lessequals(c_SetInterval_Oord__class_OatLeast(X1,X2),c_SetInterval_Oord__class_OatLeast(X3,X2),tc_fun(X2,tc_bool))|~c_lessequals(X3,X1,X2)|~class_Orderings_Oorder(X2))).
% 1.60/0.66  cnf(i_0_680, plain, (c_lessequals(X1,X2,X3)|~c_lessequals(X2,X4,X3)|~c_HOL_Oord__class_Oless(c_SetInterval_Oord__class_OatLeastAtMost(X2,X4,X3),c_SetInterval_Oord__class_OatLeastAtMost(X1,X5,X3),tc_fun(X3,tc_bool))|~class_Orderings_Oorder(X3))).
% 1.60/0.66  cnf(i_0_1103, plain, (c_lessequals(X1,X2,X3)|~c_lessequals(c_SetInterval_Oord__class_OatLeastAtMost(X2,X4,X3),c_SetInterval_Oord__class_OatLeastAtMost(X1,X5,X3),tc_fun(X3,tc_bool))|~c_lessequals(X2,X4,X3)|~class_Orderings_Oorder(X3))).
% 1.60/0.66  cnf(i_0_978, 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))))).
% 1.60/0.66  cnf(i_0_1106, plain, (c_lessequals(c_SetInterval_Oord__class_OatMost(X1,X2),c_SetInterval_Oord__class_OatMost(X3,X2),tc_fun(X2,tc_bool))|~c_lessequals(X1,X3,X2)|~class_Orderings_Oorder(X2))).
% 1.60/0.66  cnf(i_0_682, plain, (c_lessequals(c_HOL_Ominus__class_Ominus(X1,X2,tc_fun(X3,tc_bool)),X4,tc_fun(X3,tc_bool))|~c_lessequals(X1,c_Lattices_Oupper__semilattice__class_Osup(X2,X4,tc_fun(X3,tc_bool)),tc_fun(X3,tc_bool)))).
% 1.60/0.66  cnf(i_0_734, 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)))).
% 1.60/0.66  cnf(i_0_1108, plain, (c_lessequals(c_SetInterval_Oord__class_OgreaterThan(X1,X2),c_SetInterval_Oord__class_OgreaterThan(X3,X2),tc_fun(X2,tc_bool))|~class_Orderings_Olinorder(X2)|~c_lessequals(X3,X1,X2))).
% 1.60/0.66  cnf(i_0_1141, plain, (c_lessequals(hAPP(X1,X2),hAPP(X3,X2),X4)|~class_HOL_Oord(X4)|~c_lessequals(X1,X3,tc_fun(X5,X4)))).
% 1.60/0.66  cnf(i_0_743, plain, (c_HOL_Oord__class_Oless(X1,X2,tc_fun(X3,tc_bool))|~c_HOL_Oord__class_Oless(X4,X2,tc_fun(X3,tc_bool))|~c_HOL_Oord__class_Oless(X1,X4,tc_fun(X3,tc_bool)))).
% 1.60/0.66  cnf(i_0_624, 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))).
% 1.60/0.66  cnf(i_0_627, 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))).
% 1.60/0.66  cnf(i_0_932, plain, (c_lessequals(X1,c_Lattices_Olower__semilattice__class_Oinf(X2,X3,tc_fun(X4,tc_bool)),tc_fun(X4,tc_bool))|~c_lessequals(X1,X3,tc_fun(X4,tc_bool))|~c_lessequals(X1,X2,tc_fun(X4,tc_bool)))).
% 1.60/0.66  cnf(i_0_1053, plain, (c_lessequals(c_Lattices_Oupper__semilattice__class_Osup(X1,X2,tc_fun(X3,tc_bool)),X4,tc_fun(X3,tc_bool))|~c_lessequals(X2,X4,tc_fun(X3,tc_bool))|~c_lessequals(X1,X4,tc_fun(X3,tc_bool)))).
% 1.60/0.66  cnf(i_0_663, plain, (c_Lattices_Olower__semilattice__class_Oinf(c_HOL_Ouminus__class_Ouminus(X1,X2),c_HOL_Ouminus__class_Ouminus(X3,X2),X2)=c_HOL_Ouminus__class_Ouminus(c_Lattices_Oupper__semilattice__class_Osup(X1,X3,X2),X2)|~class_Lattices_Oboolean__algebra(X2))).
% 1.60/0.66  cnf(i_0_813, 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))).
% 1.60/0.66  cnf(i_0_816, 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))).
% 1.60/0.66  cnf(i_0_1112, plain, (c_lessequals(X1,X2,X3)|c_lessequals(X4,X2,X3)|~class_Orderings_Olinorder(X3)|~c_lessequals(c_SetInterval_Oord__class_OatLeastLessThan(X2,X4,X3),c_SetInterval_Oord__class_OatLeastLessThan(X1,X5,X3),tc_fun(X3,tc_bool)))).
% 1.60/0.66  cnf(i_0_1113, plain, (c_lessequals(X1,X2,X3)|c_lessequals(X1,X4,X3)|~class_Orderings_Olinorder(X3)|~c_lessequals(c_SetInterval_Oord__class_OatLeastLessThan(X4,X1,X3),c_SetInterval_Oord__class_OatLeastLessThan(X5,X2,X3),tc_fun(X3,tc_bool)))).
% 1.60/0.66  cnf(i_0_699, 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)))).
% 1.60/0.66  cnf(i_0_704, plain, (hBOOL(hAPP(hAPP(X1,X2),X3))|~hBOOL(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(X4,X1,X5,tc_fun(X6,tc_bool)),X3))|~hBOOL(hAPP(hAPP(c_in(X5),X2),X4)))).
% 1.60/0.66  cnf(i_0_664, plain, (c_Lattices_Olower__semilattice__class_Oinf(c_HOL_Ouminus__class_Ouminus(X1,X2),c_HOL_Ouminus__class_Ouminus(X3,X2),X2)=c_HOL_Ouminus__class_Ouminus(c_Lattices_Oupper__semilattice__class_Osup(X1,X3,X2),X2)|~class_OrderedGroup_Olordered__ab__group__add(X2))).
% 1.60/0.66  cnf(i_0_652, plain, (c_Lattices_Oupper__semilattice__class_Osup(c_HOL_Ouminus__class_Ouminus(X1,X2),c_HOL_Ouminus__class_Ouminus(X3,X2),X2)=c_HOL_Ouminus__class_Ouminus(c_Lattices_Olower__semilattice__class_Oinf(X1,X3,X2),X2)|~class_Lattices_Oboolean__algebra(X2))).
% 1.60/0.66  cnf(i_0_653, plain, (c_Lattices_Oupper__semilattice__class_Osup(c_HOL_Ouminus__class_Ouminus(X1,X2),c_HOL_Ouminus__class_Ouminus(X3,X2),X2)=c_HOL_Ouminus__class_Ouminus(c_Lattices_Olower__semilattice__class_Oinf(X1,X3,X2),X2)|~class_OrderedGroup_Olordered__ab__group__add(X2))).
% 1.60/0.66  cnf(i_0_801, plain, (c_lessequals(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)),X1,tc_fun(X3,tc_bool))!=c_Lattices_Olower__semilattice__class_Oinf(X2,c_Lattices_Oupper__semilattice__class_Osup(X4,X1,tc_fun(X3,tc_bool)),tc_fun(X3,tc_bool)))).
% 1.60/0.66  cnf(i_0_1098, plain, (c_lessequals(X1,X2,tc_fun(X3,X4))|~class_HOL_Oord(X4)|~c_lessequals(hAPP(X1,c_ATP__Linkup_Osko__Orderings__Xle__funI__1__1(X1,X2,X3,X4)),hAPP(X2,c_ATP__Linkup_Osko__Orderings__Xle__funI__1__1(X1,X2,X3,X4)),X4))).
% 1.60/0.66  cnf(i_0_842, 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)))).
% 1.60/0.66  cnf(i_0_623, plain, (c_Lattices_Olower__semilattice__class_Oinf(c_SetInterval_Oord__class_OatLeast(X1,X2),c_SetInterval_Oord__class_OatMost(X1,X2),tc_fun(X2,tc_bool))=c_Set_Oinsert(X1,c_Orderings_Obot__class_Obot(tc_fun(X2,tc_bool)),X2)|~class_Orderings_Oorder(X2))).
% 1.60/0.66  cnf(i_0_1099, plain, (c_lessequals(X1,X2,tc_fun(X3,X4))|~class_HOL_Oord(X4)|~c_lessequals(hAPP(X1,c_ATP__Linkup_Osko__Orderings__Xle__fun__def__1__1(X1,X2,X3,X4)),hAPP(X2,c_ATP__Linkup_Osko__Orderings__Xle__fun__def__1__1(X1,X2,X3,X4)),X4))).
% 1.60/0.66  cnf(i_0_918, plain, (c_lessequals(X1,X2,tc_fun(X3,X4))|c_HOL_Oord__class_Oless(X2,X1,tc_fun(X3,X4))|~class_HOL_Oord(X4)|~c_lessequals(X2,X1,tc_fun(X3,X4)))).
% 1.60/0.66  cnf(i_0_1079, 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)))).
% 1.60/0.66  cnf(i_0_1076, plain, (c_lessequals(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(X1,X2,X3,X4),hAPP(X2,X5),X4)|~class_Complete__Lattice_Ocomplete__lattice(X4)|~hBOOL(hAPP(hAPP(c_in(X3),X5),X1)))).
% 1.60/0.66  cnf(i_0_1029, plain, (c_Lattices_Olower__semilattice__class_Oinf(c_SetInterval_Oord__class_OlessThan(X1,X2),c_SetInterval_Oord__class_OatLeastAtMost(X1,X3,X2),tc_fun(X2,tc_bool))=c_Orderings_Obot__class_Obot(tc_fun(X2,tc_bool))|~class_Orderings_Oorder(X2))).
% 1.60/0.66  cnf(i_0_1026, plain, (c_HOL_Ouminus__class_Ouminus(c_Lattices_Olower__semilattice__class_Oinf(c_HOL_Ouminus__class_Ouminus(X1,X2),c_HOL_Ouminus__class_Ouminus(X3,X2),X2),X2)=c_Lattices_Oupper__semilattice__class_Osup(X1,X3,X2)|~class_OrderedGroup_Olordered__ab__group__add(X2))).
% 1.60/0.66  cnf(i_0_645, plain, (c_HOL_Ouminus__class_Ouminus(c_Lattices_Oupper__semilattice__class_Osup(c_HOL_Ouminus__class_Ouminus(X1,X2),c_HOL_Ouminus__class_Ouminus(X3,X2),X2),X2)=c_Lattices_Olower__semilattice__class_Oinf(X1,X3,X2)|~class_OrderedGroup_Olordered__ab__group__add(X2))).
% 1.60/0.66  cnf(i_0_836, plain, (c_HOL_Oord__class_Oless(X1,c_Set_Oinsert(X2,X3,X4),tc_fun(X4,tc_bool))|~c_HOL_Oord__class_Oless(X1,X3,tc_fun(X4,tc_bool))|~hBOOL(hAPP(hAPP(c_in(X4),X2),X3)))).
% 1.60/0.66  cnf(i_0_657, plain, (c_HOL_Oord__class_Oless(X1,X2,X3)|c_HOL_Oord__class_Oless(X4,X5,X3)|~c_lessequals(X5,X1,X3)|~c_HOL_Oord__class_Oless(c_SetInterval_Oord__class_OatLeastAtMost(X5,X1,X3),c_SetInterval_Oord__class_OatLeastAtMost(X4,X2,X3),tc_fun(X3,tc_bool))|~class_Orderings_Oorder(X3))).
% 1.60/0.66  cnf(i_0_1088, plain, (c_lessequals(hAPP(X1,X2),c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(X3,X1,X4,tc_fun(X5,tc_bool)),tc_fun(X5,tc_bool))|~hBOOL(hAPP(hAPP(c_in(X4),X2),X3)))).
% 1.60/0.66  cnf(i_0_1085, plain, (c_lessequals(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(X1,X2,X3,tc_fun(X4,tc_bool)),hAPP(X2,X5),tc_fun(X4,tc_bool))|~hBOOL(hAPP(hAPP(c_in(X3),X5),X1)))).
% 1.60/0.66  cnf(i_0_1084, plain, (c_lessequals(X1,X2,tc_fun(X3,tc_bool))|~c_lessequals(c_COMBC(c_in(X3),X1,X3,tc_fun(X3,tc_bool),tc_bool),c_COMBC(c_in(X3),X2,X3,tc_fun(X3,tc_bool),tc_bool),tc_fun(X3,tc_bool)))).
% 1.60/0.66  cnf(i_0_729, 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)))).
% 1.60/0.66  cnf(i_0_1032, plain, (c_Lattices_Olower__semilattice__class_Oinf(c_SetInterval_Oord__class_OlessThan(X1,X2),c_SetInterval_Oord__class_OatLeastLessThan(X1,X3,X2),tc_fun(X2,tc_bool))=c_Orderings_Obot__class_Obot(tc_fun(X2,tc_bool))|~class_Orderings_Oorder(X2))).
% 1.60/0.66  cnf(i_0_669, plain, (c_Lattices_Olower__semilattice__class_Oinf(c_SetInterval_Oord__class_OatLeastAtMost(X1,X2,X3),c_SetInterval_Oord__class_OgreaterThan(X2,X3),tc_fun(X3,tc_bool))=c_Orderings_Obot__class_Obot(tc_fun(X3,tc_bool))|~class_Orderings_Oorder(X3))).
% 1.60/0.66  cnf(i_0_967, 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))).
% 1.60/0.66  cnf(i_0_965, 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))).
% 1.60/0.66  cnf(i_0_763, plain, (c_Lattices_Olower__semilattice__class_Oinf(c_SetInterval_Oord__class_OatLeastLessThan(X1,X2,X3),c_SetInterval_Oord__class_OatLeast(X2,X3),tc_fun(X3,tc_bool))=c_Orderings_Obot__class_Obot(tc_fun(X3,tc_bool))|~class_Orderings_Oorder(X3))).
% 1.60/0.66  cnf(i_0_1068, 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)))).
% 1.60/0.66  cnf(i_0_922, plain, (c_lessequals(c_Set_Oinsert(X1,X2,X3),c_Set_Oinsert(X1,X4,X3),tc_fun(X3,tc_bool))|~c_lessequals(X2,X4,tc_fun(X3,tc_bool)))).
% 1.60/0.66  cnf(i_0_1091, plain, (hBOOL(hAPP(hAPP(c_in(X1),X2),c_Inductive_Ocomplete__lattice__class_Ogfp(X3,tc_fun(X1,tc_bool))))|~c_lessequals(X4,hAPP(X3,X4),tc_fun(X1,tc_bool))|~hBOOL(hAPP(hAPP(c_in(X1),X2),X4)))).
% 1.60/0.66  cnf(i_0_990, plain, (c_Lattices_Oupper__semilattice__class_Osup(c_SetInterval_Oord__class_OlessThan(X1,X2),c_SetInterval_Oord__class_OatLeastAtMost(X1,X3,X2),tc_fun(X2,tc_bool))=c_SetInterval_Oord__class_OatMost(X3,X2)|~class_Orderings_Olinorder(X2)|~c_lessequals(X1,X3,X2))).
% 1.60/0.66  cnf(i_0_760, 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)))).
% 1.60/0.66  cnf(i_0_968, plain, (c_Lattices_Oupper__semilattice__class_Osup(c_SetInterval_Oord__class_OlessThan(X1,X2),c_SetInterval_Oord__class_OatLeastLessThan(X1,X3,X2),tc_fun(X2,tc_bool))=c_SetInterval_Oord__class_OlessThan(X3,X2)|~class_Orderings_Olinorder(X2)|~c_lessequals(X1,X3,X2))).
% 1.60/0.66  cnf(i_0_641, plain, (c_Lattices_Oupper__semilattice__class_Osup(c_SetInterval_Oord__class_OatLeastAtMost(X1,X2,X3),c_SetInterval_Oord__class_OgreaterThan(X2,X3),tc_fun(X3,tc_bool))=c_SetInterval_Oord__class_OatLeast(X1,X3)|~class_Orderings_Olinorder(X3)|~c_lessequals(X1,X2,X3))).
% 1.60/0.66  cnf(i_0_841, plain, (c_Lattices_Olower__semilattice__class_Oinf(c_SetInterval_Oord__class_OatLeastLessThan(X1,X2,X3),c_SetInterval_Oord__class_OatLeastAtMost(X2,X4,X3),tc_fun(X3,tc_bool))=c_Orderings_Obot__class_Obot(tc_fun(X3,tc_bool))|~class_Orderings_Oorder(X3))).
% 1.60/0.66  cnf(i_0_740, 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)))).
% 1.60/0.66  cnf(i_0_820, 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)))).
% 1.60/0.66  cnf(i_0_1031, plain, (c_Lattices_Oupper__semilattice__class_Osup(c_SetInterval_Oord__class_OatLeastLessThan(X1,X2,X3),c_SetInterval_Oord__class_OatLeast(X2,X3),tc_fun(X3,tc_bool))=c_SetInterval_Oord__class_OatLeast(X1,X3)|~class_Orderings_Olinorder(X3)|~c_lessequals(X1,X2,X3))).
% 1.60/0.66  cnf(i_0_761, plain, (c_Lattices_Olower__semilattice__class_Oinf(c_SetInterval_Oord__class_OatLeastLessThan(X1,X2,X3),c_SetInterval_Oord__class_OatLeastLessThan(X2,X4,X3),tc_fun(X3,tc_bool))=c_Orderings_Obot__class_Obot(tc_fun(X3,tc_bool))|~class_Orderings_Oorder(X3))).
% 1.60/0.66  cnf(i_0_983, 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))).
% 1.60/0.66  cnf(i_0_750, 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))).
% 1.60/0.66  cnf(i_0_982, 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))).
% 1.60/0.66  cnf(i_0_749, 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))).
% 1.60/0.66  cnf(i_0_605, 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)))).
% 1.60/0.66  cnf(i_0_925, plain, (c_HOL_Ominus__class_Ominus(X1,c_HOL_Ominus__class_Ominus(X2,X3,tc_fun(X4,tc_bool)),tc_fun(X4,tc_bool))=X3|~c_lessequals(X3,X1,tc_fun(X4,tc_bool))|~c_lessequals(X1,X2,tc_fun(X4,tc_bool)))).
% 1.60/0.66  cnf(i_0_1017, plain, (X1=c_Set_Oinsert(X2,c_Orderings_Obot__class_Obot(tc_fun(X3,tc_bool)),X3)|X1=c_Orderings_Obot__class_Obot(tc_fun(X3,tc_bool))|~c_lessequals(X1,c_Set_Oinsert(X2,c_Orderings_Obot__class_Obot(tc_fun(X3,tc_bool)),X3),tc_fun(X3,tc_bool)))).
% 1.60/0.66  cnf(i_0_914, plain, (c_lessequals(X1,X2,tc_fun(X3,tc_bool))|hBOOL(hAPP(hAPP(c_in(X3),X4),X1))|hBOOL(hAPP(hAPP(c_in(X3),X4),X2))|~c_HOL_Oord__class_Oless(X1,c_Set_Oinsert(X4,X2,X3),tc_fun(X3,tc_bool)))).
% 1.60/0.66  cnf(i_0_609, 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))).
% 1.60/0.66  cnf(i_0_625, 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))).
% 1.60/0.66  cnf(i_0_604, 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)))).
% 1.60/0.66  cnf(i_0_694, plain, (c_Complete__Lattice_OInf__class_OInf(c_Set_Oinsert(X1,c_Set_Oinsert(X2,c_Orderings_Obot__class_Obot(tc_fun(X3,tc_bool)),X3),X3),X3)=c_Lattices_Olower__semilattice__class_Oinf(X1,X2,X3)|~class_Complete__Lattice_Ocomplete__lattice(X3))).
% 1.60/0.66  cnf(i_0_668, plain, (c_Complete__Lattice_OSup__class_OSup(c_Set_Oinsert(X1,c_Set_Oinsert(X2,c_Orderings_Obot__class_Obot(tc_fun(X3,tc_bool)),X3),X3),X3)=c_Lattices_Oupper__semilattice__class_Osup(X1,X2,X3)|~class_Complete__Lattice_Ocomplete__lattice(X3))).
% 1.60/0.66  cnf(i_0_1102, plain, (c_lessequals(c_SetInterval_Oord__class_OatLeastAtMost(X1,X2,X3),c_SetInterval_Oord__class_OatLeastAtMost(X4,X5,X3),tc_fun(X3,tc_bool))|c_lessequals(X1,X2,X3)|~class_Orderings_Oorder(X3))).
% 1.60/0.66  cnf(i_0_1089, plain, (hBOOL(hAPP(hAPP(c_in(X1),hAPP(X2,X3)),X4))|~c_lessequals(c_Set_Oimage(X2,X5,X6,X1),X4,tc_fun(X1,tc_bool))|~hBOOL(hAPP(hAPP(c_in(X6),X3),X5)))).
% 1.60/0.66  cnf(i_0_1087, plain, (c_lessequals(X1,hAPP(X2,X3),tc_fun(X4,tc_bool))|~c_lessequals(X1,c_Complete__Lattice_Ocomplete__lattice__class_OINFI(X5,X2,X6,tc_fun(X4,tc_bool)),tc_fun(X4,tc_bool))|~hBOOL(hAPP(hAPP(c_in(X6),X3),X5)))).
% 1.60/0.66  cnf(i_0_1086, plain, (c_lessequals(hAPP(X1,X2),X3,tc_fun(X4,tc_bool))|~c_lessequals(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(X5,X1,X6,tc_fun(X4,tc_bool)),X3,tc_fun(X4,tc_bool))|~hBOOL(hAPP(hAPP(c_in(X6),X2),X5)))).
% 1.60/0.66  cnf(i_0_715, plain, (hBOOL(hAPP(hAPP(c_in(X1),X2),hAPP(X3,X4)))|~hBOOL(hAPP(hAPP(c_in(X1),X2),c_Complete__Lattice_Ocomplete__lattice__class_OINFI(X5,X3,X6,tc_fun(X1,tc_bool))))|~hBOOL(hAPP(hAPP(c_in(X6),X4),X5)))).
% 1.60/0.66  cnf(i_0_626, 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))).
% 1.60/0.66  cnf(i_0_1105, plain, (c_lessequals(c_SetInterval_Oord__class_OatLeastAtMost(X1,X2,X3),c_SetInterval_Oord__class_OatLeastAtMost(X4,X5,X3),tc_fun(X3,tc_bool))|~c_lessequals(X4,X1,X3)|~c_lessequals(X2,X5,X3)|~class_Orderings_Oorder(X3))).
% 1.60/0.66  cnf(i_0_1024, 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))).
% 1.60/0.66  cnf(i_0_606, 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)))).
% 1.60/0.66  cnf(i_0_814, 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))).
% 1.60/0.66  cnf(i_0_936, plain, (c_lessequals(c_Lattices_Oupper__semilattice__class_Osup(X1,X2,tc_fun(X3,tc_bool)),c_Lattices_Oupper__semilattice__class_Osup(X4,X5,tc_fun(X3,tc_bool)),tc_fun(X3,tc_bool))|~c_lessequals(X2,X5,tc_fun(X3,tc_bool))|~c_lessequals(X1,X4,tc_fun(X3,tc_bool)))).
% 1.60/0.66  cnf(i_0_1043, plain, (c_lessequals(c_HOL_Ominus__class_Ominus(X1,X2,tc_fun(X3,tc_bool)),c_HOL_Ominus__class_Ominus(X4,X5,tc_fun(X3,tc_bool)),tc_fun(X3,tc_bool))|~c_lessequals(X5,X2,tc_fun(X3,tc_bool))|~c_lessequals(X1,X4,tc_fun(X3,tc_bool)))).
% 1.60/0.66  cnf(i_0_815, 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))).
% 1.60/0.66  cnf(i_0_1058, plain, (c_lessequals(c_Set_Ovimage(X1,X2,X3,X4),c_Set_Ovimage(X1,X5,X3,X4),tc_fun(X3,tc_bool))|~c_lessequals(X2,X5,tc_fun(X4,tc_bool)))).
% 1.60/0.66  cnf(i_0_923, plain, (c_lessequals(c_Set_Oimage(X1,X2,X3,X4),c_Set_Oimage(X1,X5,X3,X4),tc_fun(X4,tc_bool))|~c_lessequals(X2,X5,tc_fun(X3,tc_bool)))).
% 1.60/0.66  cnf(i_0_975, 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)))).
% 1.60/0.66  cnf(i_0_954, plain, (c_Lattices_Oupper__semilattice__class_Osup(c_SetInterval_Oord__class_OlessThan(X1,X2),c_Set_Oinsert(X1,c_Orderings_Obot__class_Obot(tc_fun(X2,tc_bool)),X2),tc_fun(X2,tc_bool))=c_SetInterval_Oord__class_OatMost(X1,X2)|~class_Orderings_Olinorder(X2))).
% 1.60/0.66  cnf(i_0_926, plain, (c_lessequals(c_Lattices_Olower__semilattice__class_Oinf(X1,X2,tc_fun(X3,tc_bool)),c_Lattices_Olower__semilattice__class_Oinf(X4,X5,tc_fun(X3,tc_bool)),tc_fun(X3,tc_bool))|~c_lessequals(X2,X5,tc_fun(X3,tc_bool))|~c_lessequals(X1,X4,tc_fun(X3,tc_bool)))).
% 1.60/0.66  cnf(i_0_839, plain, (c_Set_Oinsert(X1,c_SetInterval_Oord__class_OgreaterThan(X1,X2),X2)=c_SetInterval_Oord__class_OatLeast(X1,X2)|~class_Orderings_Olinorder(X2))).
% 1.60/0.66  cnf(i_0_974, 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)))).
% 1.60/0.66  cnf(i_0_1010, plain, (c_HOL_Ominus__class_Ominus(c_SetInterval_Oord__class_OatLeastLessThan(X1,X2,X3),c_SetInterval_Oord__class_OatLeastLessThan(X1,X4,X3),tc_fun(X3,tc_bool))=c_SetInterval_Oord__class_OatLeastLessThan(X4,X2,X3)|~class_Orderings_Olinorder(X3)|~c_lessequals(X1,X4,X3))).
% 1.60/0.66  cnf(i_0_1035, plain, (c_lessequals(X1,X2,X3)|c_HOL_Oord__class_Oless(c_SetInterval_Oord__class_OatLeastAtMost(X1,X2,X3),c_SetInterval_Oord__class_OatLeastAtMost(X4,X5,X3),tc_fun(X3,tc_bool))|~c_lessequals(X4,X5,X3)|~class_Orderings_Oorder(X3))).
% 1.60/0.66  cnf(i_0_758, plain, (c_lessequals(X1,c_Set_Oinsert(X2,X3,X4),tc_fun(X4,tc_bool))|~c_lessequals(c_HOL_Ominus__class_Ominus(X1,c_Set_Oinsert(X2,c_Orderings_Obot__class_Obot(tc_fun(X4,tc_bool)),X4),tc_fun(X4,tc_bool)),X3,tc_fun(X4,tc_bool))|~hBOOL(hAPP(hAPP(c_in(X4),X2),X1)))).
% 1.60/0.66  cnf(i_0_912, plain, (c_HOL_Oord__class_Oless(X1,c_Set_Oinsert(X2,X3,X4),tc_fun(X4,tc_bool))|hBOOL(hAPP(hAPP(c_in(X4),X2),X1))|~c_HOL_Oord__class_Oless(X1,X3,tc_fun(X4,tc_bool)))).
% 1.60/0.66  cnf(i_0_732, 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)))).
% 1.60/0.66  cnf(i_0_731, 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))).
% 1.60/0.66  cnf(i_0_1015, 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))).
% 1.60/0.66  cnf(i_0_831, plain, (c_Lattices_Oupper__semilattice__class_Osup(c_SetInterval_Oord__class_OatLeastLessThan(X1,X2,X3),c_SetInterval_Oord__class_OatLeastAtMost(X2,X4,X3),tc_fun(X3,tc_bool))=c_SetInterval_Oord__class_OatLeastAtMost(X1,X4,X3)|~class_Orderings_Olinorder(X3)|~c_lessequals(X2,X4,X3)|~c_lessequals(X1,X2,X3))).
% 1.60/0.66  cnf(i_0_819, plain, (c_Lattices_Oupper__semilattice__class_Osup(c_SetInterval_Oord__class_OatLeastLessThan(X1,X2,X3),c_SetInterval_Oord__class_OatLeastLessThan(X2,X4,X3),tc_fun(X3,tc_bool))=c_SetInterval_Oord__class_OatLeastLessThan(X1,X4,X3)|~class_Orderings_Olinorder(X3)|~c_lessequals(X2,X4,X3)|~c_lessequals(X1,X2,X3))).
% 1.60/0.66  cnf(i_0_953, plain, (c_HOL_Oord__class_Oless(c_SetInterval_Oord__class_OatLeastAtMost(X1,X2,X3),c_SetInterval_Oord__class_OatLeastAtMost(X4,X5,X3),tc_fun(X3,tc_bool))|~c_lessequals(X4,X5,X3)|~c_lessequals(X2,X5,X3)|~c_HOL_Oord__class_Oless(X4,X1,X3)|~class_Orderings_Oorder(X3))).
% 1.60/0.66  cnf(i_0_672, 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)))).
% 1.60/0.66  cnf(i_0_913, plain, (c_HOL_Oord__class_Oless(X1,c_Set_Oinsert(X2,X3,X4),tc_fun(X4,tc_bool))|hBOOL(hAPP(hAPP(c_in(X4),X2),X3))|~c_lessequals(X1,X3,tc_fun(X4,tc_bool)))).
% 1.60/0.66  cnf(i_0_1083, plain, (c_lessequals(c_COMBC(c_in(X1),X2,X1,tc_fun(X1,tc_bool),tc_bool),c_COMBC(c_in(X1),X3,X1,tc_fun(X1,tc_bool),tc_bool),tc_fun(X1,tc_bool))|~c_lessequals(X2,X3,tc_fun(X1,tc_bool)))).
% 1.60/0.66  cnf(i_0_671, plain, (c_HOL_Ominus__class_Ominus(c_Set_Oinsert(X1,c_Orderings_Obot__class_Obot(tc_fun(X2,tc_bool)),X2),c_SetInterval_Oord__class_OlessThan(X1,X2),tc_fun(X2,tc_bool))=c_Set_Oinsert(X1,c_Orderings_Obot__class_Obot(tc_fun(X2,tc_bool)),X2)|~class_Orderings_Oorder(X2))).
% 1.60/0.66  cnf(i_0_678, 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)))).
% 1.60/0.66  cnf(i_0_952, plain, (c_HOL_Oord__class_Oless(c_SetInterval_Oord__class_OatLeastAtMost(X1,X2,X3),c_SetInterval_Oord__class_OatLeastAtMost(X4,X5,X3),tc_fun(X3,tc_bool))|~c_lessequals(X4,X5,X3)|~c_lessequals(X4,X1,X3)|~c_HOL_Oord__class_Oless(X2,X5,X3)|~class_Orderings_Oorder(X3))).
% 1.60/0.66  cnf(i_0_646, plain, (c_HOL_Oord__class_Oless(X1,c_Set_Oinsert(X2,X3,X4),tc_fun(X4,tc_bool))|~c_HOL_Oord__class_Oless(c_HOL_Ominus__class_Ominus(X1,c_Set_Oinsert(X2,c_Orderings_Obot__class_Obot(tc_fun(X4,tc_bool)),X4),tc_fun(X4,tc_bool)),X3,tc_fun(X4,tc_bool))|~c_HOL_Oord__class_Oless(X1,X3,tc_fun(X4,tc_bool)))).
% 1.60/0.66  cnf(i_0_802, plain, (c_Lattices_Oupper__semilattice__class_Osup(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_Oupper__semilattice__class_Osup(X2,X4,tc_fun(X3,tc_bool)),tc_fun(X3,tc_bool))|~c_lessequals(X4,X1,tc_fun(X3,tc_bool)))).
% 1.60/0.66  cnf(i_0_796, 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)))).
% 1.60/0.66  cnf(i_0_1014, plain, (c_Lattices_Olower__semilattice__class_Oinf(hAPP(X1,X2),c_Complete__Lattice_Ocomplete__lattice__class_OINFI(X3,X1,X4,tc_fun(X5,tc_bool)),tc_fun(X5,tc_bool))=c_Complete__Lattice_Ocomplete__lattice__class_OINFI(X3,X1,X4,tc_fun(X5,tc_bool))|~hBOOL(hAPP(hAPP(c_in(X4),X2),X3)))).
% 1.60/0.66  cnf(i_0_756, plain, (c_Lattices_Oupper__semilattice__class_Osup(c_SetInterval_Oord__class_OatLeastLessThan(X1,X2,X3),c_Set_Oinsert(X2,c_Orderings_Obot__class_Obot(tc_fun(X3,tc_bool)),X3),tc_fun(X3,tc_bool))=c_SetInterval_Oord__class_OatLeastAtMost(X1,X2,X3)|~class_Orderings_Olinorder(X3)|~c_lessequals(X1,X2,X3))).
% 1.60/0.66  cnf(i_0_757, plain, (c_lessequals(c_HOL_Ominus__class_Ominus(X1,c_Set_Oinsert(X2,c_Orderings_Obot__class_Obot(tc_fun(X3,tc_bool)),X3),tc_fun(X3,tc_bool)),X4,tc_fun(X3,tc_bool))|~c_lessequals(X1,c_Set_Oinsert(X2,X4,X3),tc_fun(X3,tc_bool))|~hBOOL(hAPP(hAPP(c_in(X3),X2),X1)))).
% 1.60/0.66  cnf(i_0_838, 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))).
% 1.60/0.66  cnf(i_0_617, 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_Olttice__class_Osup(X2,X1,tc_fun(X3,tc_bool)),tc_fun(X3,tc_bool)))).
% 1.60/0.66  cnf(i_0_1055, plain, (c_lessequals(X1,c_Lattices_Oupper__semilattice__class_Osup(X1,X2,tc_fun(X3,tc_bool)),tc_fun(X3,tc_bool)))).
% 1.60/0.66  cnf(i_0_1057, plain, (c_lessequals(c_HOL_Ominus__class_Ominus(X1,X2,tc_fun(X3,tc_bool)),X1,tc_fun(X3,tc_bool)))).
% 1.60/0.66  cnf(i_0_934, plain, (c_lessequals(c_Lattices_Olower__semilattice__class_Oinf(X1,X2,tc_fun(X3,tc_bool)),X2,tc_fun(X3,tc_bool)))).
% 1.60/0.66  cnf(i_0_935, plain, (c_lessequals(c_Lattices_Olower__semilattice__class_Oinf(X1,X2,tc_fun(X3,tc_bool)),X1,tc_fun(X3,tc_bool)))).
% 1.60/0.66  cnf(i_0_795, 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)))).
% 1.60/0.66  cnf(i_0_825, 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)))).
% 1.60/0.66  cnf(i_0_794, 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)))).
% 1.60/0.66  cnf(i_0_661, 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)))).
% 1.60/0.66  cnf(i_0_1034, 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)))).
% 1.60/0.66  cnf(i_0_788, plain, (c_Set_Oinsert(X1,c_Set_Oinsert(X1,X2,X3),X3)=c_Set_Oinsert(X1,X2,X3))).
% 1.60/0.66  cnf(i_0_806, plain, (hAPP(c_Fun_Ocomp(X1,X2,X3,X4,X5),X6)=hAPP(X1,hAPP(X2,X6)))).
% 1.60/0.66  cnf(i_0_977, plain, (hAPP(c_Fun_Ofcomp(X1,X2,X3,X4,X5),X6)=hAPP(X2,hAPP(X1,X6)))).
% 1.60/0.66  cnf(i_0_638, plain, (hAPP(c_COMBC(X1,X2,X3,X4,X5),X6)=hAPP(hAPP(X1,X6),X2))).
% 1.60/0.66  cnf(i_0_665, 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)))).
% 1.60/0.66  cnf(i_0_632, plain, (c_Lattices_Olower__semilattice__class_Oinf(X1,c_HOL_Ouminus__class_Ouminus(X2,tc_fun(X3,tc_bool)),tc_fun(X3,tc_bool))=c_HOL_Ominus__class_Ominus(X1,X2,tc_fun(X3,tc_bool)))).
% 1.60/0.66  cnf(i_0_670, plain, (c_HOL_Ominus__class_Ominus(X1,c_HOL_Ouminus__class_Ouminus(X2,tc_fun(X3,tc_bool)),tc_fun(X3,tc_bool))=c_Lattices_Olower__semilattice__class_Oinf(X1,X2,tc_fun(X3,tc_bool)))).
% 1.60/0.66  cnf(i_0_658, 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)))).
% 1.60/0.66  cnf(i_0_597, 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)))).
% 1.60/0.66  cnf(i_0_989, 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)))).
% 1.60/0.66  cnf(i_0_916, plain, (hAPP(c_Lattices_Oupper__semilattice__class_Osup(c_COMBC(c_in(t_a),X1,t_a,tc_fun(t_a,tc_bool),tc_bool),c_COMBC(c_in(t_a),X2,t_a,tc_fun(t_a,tc_bool),tc_bool),tc_fun(t_a,tc_bool)),v_x)=hAPP(hAPP(c_in(t_a),v_x),c_Lattices_Oupper__semilattice__class_Osup(X1,X2,tc_fun(t_a,tc_bool))))).
% 1.60/0.66  cnf(i_0_915, plain, (hAPP(c_Lattices_Olower__semilattice__class_Oinf(c_COMBC(c_in(t_a),X1,t_a,tc_fun(t_a,tc_bool),tc_bool),c_COMBC(c_in(t_a),X2,t_a,tc_fun(t_a,tc_bool),tc_bool),tc_fun(t_a,tc_bool)),v_x)=hAPP(hAPP(c_in(t_a),v_x),c_Lattices_Olower__semilattice__class_Oinf(X1,X2,tc_fun(t_a,tc_bool))))).
% 1.60/0.66  cnf(i_0_637, 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)))).
% 1.60/0.66  cnf(i_0_827, 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)).
% 1.60/0.66  cnf(i_0_639, plain, (c_HOL_Ominus__class_Ominus(X1,c_Complete__Lattice_Ocomplete__lattice__class_ower__semilattice__class_Oinf(X1,c_Lattices_Oupper__semilattice__class_Osup(X2,X4,X3),X3),X3)|~class_Lattices_Olattice(X3))).
% 1.60/0.66  cnf(i_0_765, plain, (c_HOL_Oord__class_Oless(X1,c_Set_Oinsert(X2,X3,X4),tc_fun(X4,tc_bool))|hBOOL(hAPP(hAPP(c_in(X4),X2),X3))|~c_HOL_Oord__class_Oless(c_HOL_Ominus__class_Ominus(X1,c_Set_Oinsert(X2,c_Orderings_Obot__class_Obot(tc_fun(X4,tc_bool)),X4),tc_fun(X4,tc_bool)),X3,tc_fun(X4,tc_bool))|~hBOOL(hAPP(hAPP(c_in(X4),X2),X1)))).
% 1.60/0.66  cnf(i_0_911, plain, (hBOOL(hAPP(hAPP(c_in(X1),hAPP(X2,X3)),c_Inductive_Ocomplete__lattice__class_Ogfp(X4,tc_fun(X1,tc_bool))))|~c_lessequals(c_Set_Oimage(X2,X5,X6,X1),hAPP(X4,c_Set_Oimage(X2,X5,X6,X1)),tc_fun(X1,tc_bool))|~hBOOL(hAPP(hAPP(c_in(X6),X3),X5)))).
% 1.60/0.66  cnf(i_0_764, plain, (c_HOL_Oord__class_Oless(c_HOL_Ominus__class_Ominus(X1,c_Set_Oinsert(X2,c_Orderings_Obot__class_Obot(tc_fun(X3,tc_bool)),X3),tc_fun(X3,tc_bool)),X4,tc_fun(X3,tc_bool))|hBOOL(hAPP(hAPP(c_in(X3),X2),X4))|~c_HOL_Oord__class_Oless(X1,c_Set_Oinsert(X2,X4,X3),tc_fun(X3,tc_bool))|~hBOOL(hAPP(hAPP(c_in(X3),X2),X1)))).
% 1.60/0.66  # End listing active clauses.  There is an equivalent clause to each of these in the clausification!
% 1.60/0.66  # Begin printing tableau
% 1.60/0.66  # Found 4 steps
% 1.60/0.66  cnf(i_0_1144, negated_conjecture, (hBOOL(hAPP(hAPP(c_in(tc_Hoare__Mirabelle_Otriple(t_a)),v_xa),v_tsa))), inference(start_rule)).
% 1.60/0.66  cnf(i_0_1197, plain, (hBOOL(hAPP(hAPP(c_in(tc_Hoare__Mirabelle_Otriple(t_a)),v_xa),v_tsa))), inference(extension_rule, [i_0_1139])).
% 1.60/0.66  cnf(i_0_2153, plain, (hBOOL(hAPP(v_tsa,v_xa))), inference(extension_rule, [i_0_1138])).
% 1.60/0.66  cnf(i_0_2213, plain, (hBOOL(hAPP(hAPP(c_in(X4),v_xa),v_tsa))), inference(etableau_closure_rule, [i_0_2213, ...])).
% 1.60/0.66  # End printing tableau
% 1.60/0.66  # SZS output end
% 1.60/0.66  # Branches closed with saturation will be marked with an "s"
% 1.60/0.66  OSUPR(c_Orderings_Obot__class_Obot(tc_fun(X2,tc_bool)),X3,X2,tc_fun(X4,tc_bool)),tc_fun(X4,tc_bool))=X1)).
% 1.60/0.66  cnf(i_0_798, plain, (c_Lattices_Olower__semilattice__class_Oinf(X1,c_Complete__Lattice_Ocomplete__lattice__class_OINFI(c_Orderings_Obot__class_Obot(tc_fun(X2,tc_bool)),X3,X2,tc_fun(X4,tc_bool)),tc_fun(X4,tc_bool))=X1)).
% 1.60/0.66  cnf(i_0_826, 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)).
% 1.60/0.66  cnf(i_0_797, plain, (c_Lattices_Olower__semilattice__class_Oinf(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(c_Orderings_Obot__class_Obot(tc_fun(X1,tc_bool)),X2,X1,tc_fun(X3,tc_bool)),X4,tc_fun(X3,tc_bool))=X4)).
% 1.60/0.66  cnf(i_0_777, plain, (c_lessequals(c_Set_Oimage(X1,c_Set_Ovimage(X1,X2,X3,X4),X3,X4),X2,tc_fun(X4,tc_bool)))).
% 1.60/0.66  cnf(i_0_781, plain, (c_HOL_Ouminus__class_Ouminus(c_HOL_Ominus__class_Ominus(X1,X2,tc_fun(X3,tc_bool)),tc_fun(X3,tc_bool))=c_Lattices_Oupper__semilattice__class_Osup(c_HOL_Ouminus__class_Ouminus(X1,tc_fun(X3,tc_bool)),X2,tc_fun(X3,tc_bool)))).
% 1.60/0.66  cnf(i_0_774, 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)))).
% 1.60/0.66  cnf(i_0_773, 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)))).
% 1.60/0.66  cnf(i_0_963, 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)).
% 1.60/0.66  cnf(i_0_628, 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)))).
% 1.60/0.66  cnf(i_0_1008, 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)))).
% 1.60/0.66  cnf(i_0_817, 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)))).
% 1.60/0.66  cnf(i_0_980, 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))).
% 1.60/0.66  cnf(i_0_785, 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))))).
% 1.60/0.66  cnf(i_0_662, plain, (c_HOL_Ominus__class_Ominus(c_HOL_Ouminus__class_Ouminus(X1,tc_fun(X2,tc_bool)),X3,tc_fun(X2,tc_bool))=c_HOL_Ouminus__class_Ouminus(c_Lattices_Oupper__semilattice__class_Osup(X1,X3,tc_fun(X2,tc_bool)),tc_fun(X2,tc_bool)))).
% 1.60/0.66  cnf(i_0_651, plain, (c_Lattices_Oupper__semilattice__class_Osup(c_HOL_Ouminus__class_Ouminus(X1,tc_fun(X2,tc_bool)),c_HOL_Ouminus__class_Ouminus(X3,tc_fun(X2,tc_bool)),tc_fun(X2,tc_bool))=c_HOL_Ouminus__class_Ouminus(c_Lattices_Olower__semilattice__class_Oinf(X1,X3,tc_fun(X2,tc_bool)),tc_fun(X2,tc_bool)))).
% 1.60/0.66  cnf(i_0_615, 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))).
% 1.60/0.66  cnf(i_0_786, 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))).
% 1.60/0.66  cnf(i_0_984, 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)))).
% 1.60/0.66  cnf(i_0_667, 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))).
% 1.60/0.66  cnf(i_0_775, 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))).
% 1.60/0.66  cnf(i_0_693, 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))).
% 1.60/0.66  cnf(i_0_1019, 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)))).
% 1.60/0.66  cnf(i_0_751, 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)))).
% 1.60/0.66  cnf(i_0_833, 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)))).
% 1.60/0.66  cnf(i_0_985, 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)))).
% 1.60/0.66  cnf(i_0_594, 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)))).
% 1.60/0.66  cnf(i_0_1033, 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))).
% 1.60/0.66  cnf(i_0_752, 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)))).
% 1.60/0.66  cnf(i_0_840, 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)))).
% 1.60/0.66  cnf(i_0_782, 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)))).
% 1.60/0.66  cnf(i_0_783, 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)))).
% 1.60/0.66  cnf(i_0_1021, 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)))).
% 1.60/0.66  cnf(i_0_1009, plain, (c_Lattices_Olower__semilattice__class_Oinf(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(X1,X2,X3,tc_fun(X4,tc_bool)),c_Complete__Lattice_Ocomplete__lattice__class_OINFI(X5,X2,X3,tc_fun(X4,tc_bool)),tc_fun(X4,tc_bool))=c_Complete__Lattice_Ocomplete__lattice__class_OINFI(c_Lattices_Oupper__semilattice__class_Osup(X1,X5,tc_fun(X3,tc_bool)),X2,X3,tc_fun(X4,tc_bool)))).
% 1.60/0.66  cnf(i_0_800, plain, (c_lessequals(c_Set_Oimage(X1,c_Lattices_Olower__semilattice__class_Oinf(X2,X3,tc_fun(X4,tc_bool)),X4,X5),c_Lattices_Olower__semilattice__class_Oinf(c_Set_Oimage(X1,X2,X4,X5),c_Set_Oimage(X1,X3,X4,X5),tc_fun(X5,tc_bool)),tc_fun(X5,tc_bool)))).
% 1.60/0.66  cnf(i_0_630, plain, (c_lessequals(c_HOL_Ominus__class_Ominus(c_Set_Oimage(X1,X2,X3,X4),c_Set_Oimage(X1,X5,X3,X4),tc_fun(X4,tc_bool)),c_Set_Oimage(X1,c_HOL_Ominus__class_Ominus(X2,X5,tc_fun(X3,tc_bool)),X3,X4),tc_fun(X4,tc_bool)))).
% 1.60/0.66  cnf(i_0_611, plain, (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))=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)))).
% 1.60/0.66  cnf(i_0_834, 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)))).
% 1.60/0.66  cnf(i_0_1005, 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)))).
% 1.60/0.66  cnf(i_0_647, 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)))).
% 1.60/0.66  cnf(i_0_622, 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)))).
% 1.60/0.66  cnf(i_0_640, plain, (c_Set_Oinsert(X1,c_Set_Oinsert(X2,X3,X4),X4)=c_Set_Oinsert(X2,c_Set_Oinsert(X1,X3,X4),X4))).
% 1.60/0.66  cnf(i_0_608, plain, (c_Set_Ovimage(X1,c_HOL_Ouminus__class_Ouminus(X2,tc_fun(X3,tc_bool)),X4,X3)=c_HOL_Ouminus__class_Ouminus(c_Set_Ovimage(X1,X2,X4,X3),tc_fun(X4,tc_bool)))).
% 1.60/0.66  cnf(i_0_976, 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))).
% 1.60/0.66  cnf(i_0_629, 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)))).
% 1.60/0.66  cnf(i_0_818, 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)))).
% 1.60/0.66  cnf(i_0_644, 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))).
% 1.60/0.66  cnf(i_0_993, 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))).
% 1.60/0.66  cnf(i_0_970, 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)))).
% 1.60/0.66  cnf(i_0_979, 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))).
% 1.60/0.66  cnf(i_0_1036, plain, (c_Complete__Lattice_Ocomplete__lattice__class_OINFI(c_Set_Oinsert(X1,X2,X3),X4,X3,tc_fun(X5,tc_bool))=c_Lattices_Olower__semilattice__class_Oinf(hAPP(X4,X1),c_Complete__Lattice_Ocomplete__lattice__class_OINFI(X2,X4,X3,tc_fun(X5,tc_bool)),tc_fun(X5,tc_bool)))).
% 1.60/0.66  cnf(i_0_1037, 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))).
% 1.60/0.66  cnf(i_0_1145, negated_conjecture, (~c_Hoare__Mirabelle_Otriple__valid(v_x,v_xa,t_a))).
% 1.60/0.66  cnf(i_0_995, plain, (c_Suc(X1)!=X1)).
% 1.60/0.66  cnf(i_0_832, plain, (~hBOOL(hAPP(c_Orderings_Obot__class_Obot(tc_fun(X1,tc_bool)),X2)))).
% 1.60/0.66  cnf(i_0_943, plain, (~c_HOL_Oord__class_Oless(X1,X1,tc_fun(X2,tc_bool)))).
% 1.60/0.66  cnf(i_0_784, plain, (c_Set_Oinsert(X1,X2,X3)!=c_Orderings_Obot__class_Obot(tc_fun(X3,tc_bool)))).
% 1.60/0.66  cnf(i_0_708, plain, (~hBOOL(hAPP(hAPP(c_in(X1),X2),c_Orderings_Obot__class_Obot(tc_fun(X1,tc_bool)))))).
% 1.60/0.66  cnf(i_0_809, plain, (~c_HOL_Oord__class_Oless(X1,c_Orderings_Obot__class_Obot(tc_fun(X2,tc_bool)),tc_fun(X2,tc_bool)))).
% 1.60/0.66  cnf(i_0_944, plain, (~c_HOL_Oord__class_Oless(X1,X1,X2)|~class_Orderings_Oorder(X2))).
% 1.60/0.66  cnf(i_0_945, plain, (~class_Orderings_Olinorder(X1)|~c_HOL_Oord__class_Oless(X2,X2,X1))).
% 1.60/0.66  cnf(i_0_946, plain, (~class_Orderings_Opreorder(X1)|~c_HOL_Oord__class_Oless(X2,X2,X1))).
% 1.60/0.66  cnf(i_0_1146, negated_conjecture, (c_Hoare__Mirabelle_Otriple__valid(v_x,X1,t_a)|~hBOOL(hAPP(hAPP(c_in(tc_Hoare__Mirabelle_Otriple(t_a)),X1),v_Ga)))).
% 1.60/0.66  cnf(i_0_807, plain, (X1=X2|c_Suc(X1)!=c_Suc(X2))).
% 1.60/0.66  cnf(i_0_1186, plain, (X1=X2|~c_fequal(X1,X2,X3))).
% 1.60/0.66  cnf(i_0_1160, plain, (class_HOL_Ominus(tc_fun(X1,X2))|~class_HOL_Ominus(X2))).
% 1.60/0.66  cnf(i_0_1153, plain, (class_Lattices_Obounded__lattice(tc_fun(X1,X2))|~class_Lattices_Obounded__lattice(X2))).
% 1.60/0.66  cnf(i_0_888, plain, (~class_Orderings_Olinorder(X1)|~c_lessequals(X2,X3,X1)|~c_HOL_Oord__class_Oless(X3,X2,X1))).
% 1.60/0.66  cnf(i_0_890, plain, (~class_Orderings_Opreorder(X1)|~c_lessequals(X2,X3,X1)|~c_HOL_Oord__class_Oless(X3,X2,X1))).
% 1.60/0.66  cnf(i_0_1157, plain, (class_Orderings_Oorder(tc_fun(X1,X2))|~class_Orderings_Oorder(X2))).
% 1.60/0.66  cnf(i_0_1139, plain, (hBOOL(hAPP(X1,X2))|~hBOOL(hAPP(hAPP(c_in(X3),X2),X1)))).
% 1.60/0.66  cnf(i_0_766, plain, (hAPP(c_Orderings_Obot__class_Obot(tc_fun(t_a,X1)),v_x)=c_Orderings_Obot__class_Obot(X1)|~class_Orderings_Obot(X1))).
% 1.60/0.66  cnf(i_0_1156, plain, (class_Lattices_Olattice(tc_fun(X1,X2))|~class_Lattices_Olattice(X2))).
% 1.60/0.66  cnf(i_0_1151, plain, (class_Lattices_Olower__semilattice(tc_fun(X1,X2))|~class_Lattices_Olattice(X2))).
% 1.60/0.66  cnf(i_0_1150, plain, (class_Lattices_Oupper__semilattice(tc_fun(X1,X2))|~class_Lattices_Olattice(X2))).
% 1.60/0.66  cnf(i_0_1154, plain, (class_Lattices_Oboolean__algebra(tc_fun(X1,X2))|~class_Lattices_Oboolean__algebra(X2))).
% 1.60/0.66  cnf(i_0_1161, plain, (class_HOL_Oord(tc_fun(X1,X2))|~class_HOL_Oord(X2))).
% 1.60/0.66  cnf(i_0_1149, plain, (class_Complete__Lattice_Ocomplete__lattice(tc_fun(X1,X2))|~class_Complete__Lattice_Ocomplete__lattice(X2))).
% 1.60/0.66  cnf(i_0_1155, plain, (class_Orderings_Opreorder(tc_fun(X1,X2))|~class_Orderings_Opreorder(X2))).
% 1.60/0.66  cnf(i_0_1152, plain, (class_Lattices_Odistrib__lattice(tc_fun(X1,X2))|~class_Lattices_Odistrib__lattice(X2))).
% 1.60/0.66  cnf(i_0_1158, plain, (class_Orderings_Obot(tc_fun(X1,X2))|~class_Orderings_Obot(X2))).
% 1.60/0.66  cnf(i_0_1159, plain, (class_HOL_Ouminus(tc_fun(X1,X2))|~class_HOL_Ouminus(X2))).
% 1.60/0.66  cnf(i_0_1140, plain, (c_Hoare__Mirabelle_Ohoare__derivs(X1,X2,X3)|~c_lessequals(X2,X1,tc_fun(tc_Hoare__Mirabelle_Otriple(X3),tc_bool)))).
% 1.60/0.66  cnf(i_0_687, plain, (c_HOL_Ouminus__class_Ouminus(c_HOL_Ouminus__class_Ouminus(X1,X2),X2)=X1|~class_OrderedGroup_Ogroup__add(X2))).
% 1.60/0.66  cnf(i_0_1120, plain, (c_lessequals(X1,X1,X2)|~class_Orderings_Oorder(X2))).
% 1.60/0.66  cnf(i_0_1119, plain, (c_lessequals(X1,X1,X2)|~class_Orderings_Opreorder(X2))).
% 1.60/0.66  cnf(i_0_1038, plain, (~c_HOL_Oord__class_Oless(X1,X2,X3)|~c_HOL_Oord__class_Oless(X2,X1,X3)|~class_Orderings_Oorder(X3))).
% 1.60/0.66  cnf(i_0_1039, plain, (~class_Orderings_Olinorder(X1)|~c_HOL_Oord__class_Oless(X2,X3,X1)|~c_HOL_Oord__class_Oless(X3,X2,X1))).
% 1.60/0.66  cnf(i_0_1138, plain, (hBOOL(hAPP(hAPP(c_in(X1),X2),X3))|~hBOOL(hAPP(X3,X2)))).
% 1.60/0.66  cnf(i_0_1067, plain, (c_Hoare__Mirabelle_Otriple__valid(X1,X2,X3)|~c_Hoare__Mirabelle_Otriple__valid(c_Suc(X1),X2,X3))).
% 1.60/0.66  cnf(i_0_1040, plain, (~class_Orderings_Opreorder(X1)|~c_HOL_Oord__class_Oless(X2,X3,X1)|~c_HOL_Oord__class_Oless(X3,X2,X1))).
% 1.60/0.66  cnf(i_0_1007, plain, (c_SetInterval_Oord__class_OatLeastAtMost(X1,X2,X3)!=c_Orderings_Obot__class_Obot(tc_fun(X3,tc_bool))|~c_lessequals(X1,X2,X3)|~class_Orderings_Oorder(X3))).
% 1.60/0.66  cnf(i_0_1002, plain, (c_SetInterval_Oord__class_OatLeastLessThan(X1,X2,X3)!=c_Orderings_Obot__class_Obot(tc_fun(X3,tc_bool))|~c_HOL_Oord__class_Oless(X1,X2,X3)|~class_Orderings_Oorder(X3))).
% 1.60/0.66  cnf(i_0_1148, negated_conjecture, (c_Hoare__Mirabelle_Otriple__valid(X1,X2,t_a)|~c_Hoare__Mirabelle_Otriple__valid(X1,v_n(X1),t_a)|~hBOOL(hAPP(hAPP(c_in(tc_Hoare__Mirabelle_Otriple(t_a)),X2),v_ts_H)))).
% 1.60/0.66  cnf(i_0_1042, plain, (c_lessequals(X1,X2,tc_fun(X3,tc_bool))|~c_HOL_Oord__class_Oless(X1,X2,tc_fun(X3,tc_bool)))).
% 1.60/0.66  cnf(i_0_674, plain, (hBOOL(hAPP(X1,X2))|~hBOOL(hAPP(c_Lattices_Olower__semilattice__class_Oinf(X3,X1,tc_fun(X4,tc_bool)),X2)))).
% 1.60/0.66  cnf(i_0_675, plain, (hBOOL(hAPP(X1,X2))|~hBOOL(hAPP(c_Lattices_Olower__semilattice__class_Oinf(X1,X3,tc_fun(X4,tc_bool)),X2)))).
% 1.60/0.66  cnf(i_0_686, plain, (c_HOL_Ouminus__class_Ouminus(c_HOL_Ouminus__class_Ouminus(X1,X2),X2)=X1|~class_Lattices_Oboolean__algebra(X2))).
% 1.60/0.66  cnf(i_0_618, plain, (X1=X2|c_SetInterval_Oord__class_OlessThan(X1,X3)!=c_SetInterval_Oord__class_OlessThan(X2,X3)|~class_Orderings_Olinorder(X3))).
% 1.60/0.66  cnf(i_0_969, plain, (X1=X2|c_SetInterval_Oord__class_OatLeast(X1,X3)!=c_SetInterval_Oord__class_OatLeast(X2,X3)|~class_Orderings_Olinorder(X3))).
% 1.60/0.66  cnf(i_0_745, plain, (c_Lattices_Oupper__semilattice__class_Osup(X1,X1,X2)=X1|~class_Lattices_Oupper__semilattice(X2))).
% 1.60/0.66  cnf(i_0_938, plain, (X1=c_Orderings_Obot__class_Obot(tc_fun(X2,tc_bool))|~c_lessequals(X1,c_Orderings_Obot__class_Obot(tc_fun(X2,tc_bool)),tc_fun(X2,tc_bool)))).
% 1.60/0.66  cnf(i_0_1147, negated_conjecture, (c_Hoare__Mirabelle_Otriple__valid(X1,X2,t_a)|hBOOL(hAPP(hAPP(c_in(tc_Hoare__Mirabelle_Otriple(t_a)),v_n(X1)),v_Ga))|~hBOOL(hAPP(hAPP(c_in(tc_Hoare__Mirabelle_Otriple(t_a)),X2),v_ts_H)))).
% 1.60/0.66  cnf(i_0_720, plain, (~hBOOL(hAPP(hAPP(c_in(X1),X2),c_HOL_Ouminus__class_Ouminus(X3,tc_fun(X1,tc_bool))))|~hBOOL(hAPP(hAPP(c_in(X1),X2),X3)))).
% 1.60/0.66  cnf(i_0_997, plain, (c_Lattices_Olower__semilattice__class_Oinf(X1,X1,X2)=X1|~class_Lattices_Olower__semilattice(X2))).
% 1.60/0.66  cnf(i_0_1011, plain, (X1=X2|c_SetInterval_Oord__class_OatMost(X1,X3)!=c_SetInterval_Oord__class_OatMost(X2,X3)|~class_Orderings_Olinorder(X3))).
% 1.60/0.66  cnf(i_0_787, plain, (X1=X2|c_SetInterval_Oord__class_OgreaterThan(X1,X3)!=c_SetInterval_Oord__class_OgreaterThan(X2,X3)|~class_Orderings_Olinorder(X3))).
% 1.60/0.66  cnf(i_0_878, plain, (c_lessequals(X1,X2,X3)|~c_HOL_Oord__class_Oless(X1,X2,X3)|~class_Orderings_Oorder(X3))).
% 1.60/0.66  cnf(i_0_877, plain, (c_lessequals(X1,X2,X3)|~class_Orderings_Opreorder(X3)|~c_HOL_Oord__class_Oless(X1,X2,X3))).
% 1.60/0.66  cnf(i_0_739, plain, (c_Set_Oinsert(X1,X2,X3)=X2|~hBOOL(hAPP(hAPP(c_in(X3),X1),X2)))).
% 1.60/0.66  cnf(i_0_939, plain, (c_lessequals(X1,X2,tc_fun(X3,tc_bool))|c_Lattices_Oupper__semilattice__class_Osup(X1,X2,tc_fun(X3,tc_bool))!=X2)).
% 1.60/0.66  cnf(i_0_880, plain, (c_lessequals(c_Orderings_Obot__class_Obot(X1),X2,X1)|~class_Orderings_Obot(X1))).
% 1.60/0.66  cnf(i_0_951, plain, (X1=X2|c_HOL_Ouminus__class_Ouminus(X1,tc_fun(X3,tc_bool))!=c_HOL_Ouminus__class_Ouminus(X2,tc_fun(X3,tc_bool)))).
% 1.60/0.66  cnf(i_0_949, plain, (X1=X2|c_HOL_Ouminus__class_Ouminus(X1,X3)!=c_HOL_Ouminus__class_Ouminus(X2,X3)|~class_Lattices_Oboolean__algebra(X3))).
% 1.60/0.66  cnf(i_0_950, plain, (X1=X2|c_HOL_Ouminus__class_Ouminus(X1,X3)!=c_HOL_Ouminus__class_Ouminus(X2,X3)|~class_OrderedGroup_Ogroup__add(X3))).
% 1.60/0.66  cnf(i_0_919, plain, (~class_HOL_Oord(X1)|~c_lessequals(X2,X3,tc_fun(X4,X1))|~c_HOL_Oord__class_Oless(X3,X2,tc_fun(X4,X1)))).
% 1.60/0.66  cnf(i_0_600, 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))).
% 1.60/0.66  cnf(i_0_931, plain, (c_lessequals(X1,X2,tc_fun(X3,tc_bool))|~hBOOL(hAPP(X2,c_ATP__Linkup_Osko__Predicate__Xpredicate1I__1__1(X1,X2,X3))))).
% 1.60/0.66  cnf(i_0_1136, plain, (X1=X2|~c_lessequals(X2,X1,tc_fun(X3,tc_bool))|~c_lessequals(X1,X2,tc_fun(X3,tc_bool)))).
% 1.60/0.66  cnf(i_0_821, plain, (c_Lattices_Oupper__semilattice__class_Osup(X1,c_Orderings_Obot__class_Obot(X2),X2)=X1|~class_Lattices_Obounded__lattice(X2))).
% 1.60/0.66  cnf(i_0_601, 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))).
% 1.60/0.66  cnf(i_0_875, plain, (c_lessequals(X1,X2,X3)|c_Lattices_Oupper__semilattice__class_Osup(X1,X2,X3)!=X2|~class_Lattices_Oupper__semilattice(X3))).
% 1.60/0.66  cnf(i_0_892, plain, (c_lessequals(X1,X2,X3)|c_Lattices_Olower__semilattice__class_Oinf(X1,X2,X3)!=X1|~class_Lattices_Olower__semilattice(X3))).
% 1.60/0.66  cnf(i_0_1133, plain, (X1=X2|~c_lessequals(X2,X1,X3)|~c_lessequals(X1,X2,X3)|~class_Orderings_Oorder(X3))).
% 1.60/0.66  cnf(i_0_1013, plain, (X1=c_Orderings_Obot__class_Obot(tc_fun(X2,tc_bool))|~c_lessequals(X1,c_HOL_Ouminus__class_Ouminus(X1,tc_fun(X2,tc_bool)),tc_fun(X2,tc_bool)))).
% 1.60/0.66  cnf(i_0_603, 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)))).
% 1.60/0.66  cnf(i_0_602, 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)))).
% 1.60/0.66  cnf(i_0_822, plain, (c_Lattices_Oupper__semilattice__class_Osup(c_Orderings_Obot__class_Obot(X1),X2,X1)=X2|~class_Lattices_Obounded__lattice(X1))).
% 1.60/0.66  cnf(i_0_1065, 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))).
% 1.60/0.66  cnf(i_0_634, 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))).
% 1.60/0.66  cnf(i_0_717, 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)))).
% 1.60/0.66  cnf(i_0_1118, plain, (hBOOL(hAPP(X1,X2))|~c_lessequals(X3,X1,tc_fun(X4,tc_bool))|~hBOOL(hAPP(X3,X2)))).
% 1.60/0.66  cnf(i_0_607, plain, (hBOOL(hAPP(c_Set_Oinsert(X1,X2,X3),X4))|~hBOOL(hAPP(X2,X4)))).
% 1.60/0.66  cnf(i_0_792, 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))).
% 1.60/0.66  cnf(i_0_902, plain, (c_lessequals(X1,X2,X3)|~class_Lattices_Olower__semilattice(X3)|~c_lessequals(X1,c_Lattices_Olower__semilattice__class_Oinf(X4,X2,X3),X3))).
% 1.60/0.66  cnf(i_0_901, plain, (c_lessequals(X1,X2,X3)|~class_Lattices_Olower__semilattice(X3)|~c_lessequals(X1,c_Lattices_Olower__semilattice__class_Oinf(X2,X4,X3),X3))).
% 1.60/0.66  cnf(i_0_789, plain, (X1=X2|hBOOL(hAPP(X3,X1))|~hBOOL(hAPP(c_Set_Oinsert(X2,X3,X4),X1)))).
% 1.60/0.66  cnf(i_0_941, plain, (c_Lattices_Oupper__semilattice__class_Osup(X1,X2,tc_fun(X3,tc_bool))=X2|~c_lessequals(X1,X2,tc_fun(X3,tc_bool)))).
% 1.60/0.66  cnf(i_0_940, plain, (c_Lattices_Oupper__semilattice__class_Osup(X1,X2,tc_fun(X3,tc_bool))=X1|~c_lessequals(X2,X1,tc_fun(X3,tc_bool)))).
% 1.60/0.66  cnf(i_0_1052, plain, (c_Lattices_Olower__semilattice__class_Oinf(X1,X2,tc_fun(X3,tc_bool))=X2|~c_lessequals(X2,X1,tc_fun(X3,tc_bool)))).
% 1.60/0.66  cnf(i_0_793, 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))).
% 1.60/0.66  cnf(i_0_861, plain, (c_lessequals(X1,X2,X3)|~class_Lattices_Oupper__semilattice(X3)|~c_lessequals(c_Lattices_Oupper__semilattice__class_Osup(X4,X1,X3),X2,X3))).
% 1.60/0.66  cnf(i_0_860, plain, (c_lessequals(X1,X2,X3)|~class_Lattices_Oupper__semilattice(X3)|~c_lessequals(c_Lattices_Oupper__semilattice__class_Osup(X1,X4,X3),X2,X3))).
% 1.60/0.66  cnf(i_0_799, plain, (c_Complete__Lattice_OSup__class_OSup(c_Orderings_Obot__class_Obot(tc_fun(X1,tc_bool)),X1)=c_Orderings_Obot__class_Obot(X1)|~class_Complete__Lattice_Ocomplete__lattice(X1))).
% 1.60/0.66  cnf(i_0_1051, plain, (c_Lattices_Olower__semilattice__class_Oinf(X1,X2,tc_fun(X3,tc_bool))=X1|~c_lessequals(X1,X2,tc_fun(X3,tc_bool)))).
% 1.60/0.66  cnf(i_0_1022, plain, (hBOOL(hAPP(X1,hAPP(X2,X3)))|~hBOOL(hAPP(c_Set_Ovimage(X2,X1,X4,X5),X3)))).
% 1.60/0.66  cnf(i_0_1003, 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)))).
% 1.60/0.66  cnf(i_0_616, plain, (c_HOL_Ouminus__class_Ouminus(c_SetInterval_Oord__class_OlessThan(X1,X2),tc_fun(X2,tc_bool))=c_SetInterval_Oord__class_OatLeast(X1,X2)|~class_Orderings_Olinorder(X2))).
% 1.60/0.66  cnf(i_0_874, plain, (c_Lattices_Oupper__semilattice__class_Osup(X1,X2,X3)=X2|~class_Lattices_Oupper__semilattice(X3)|~c_lessequals(X1,X2,X3))).
% 1.60/0.66  cnf(i_0_876, plain, (c_Lattices_Oupper__semilattice__class_Osup(X1,X2,X3)=X1|~class_Lattices_Oupper__semilattice(X3)|~c_lessequals(X2,X1,X3))).
% 1.60/0.66  cnf(i_0_893, plain, (c_Lattices_Olower__semilattice__class_Oinf(X1,X2,X3)=X2|~class_Lattices_Olower__semilattice(X3)|~c_lessequals(X2,X1,X3))).
% 1.60/0.66  cnf(i_0_755, 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))))).
% 1.60/0.66  cnf(i_0_811, plain, (hBOOL(hAPP(c_Lattices_Oupper__semilattice__class_Osup(X1,X2,tc_fun(X3,tc_bool)),X4))|~hBOOL(hAPP(X2,X4)))).
% 1.60/0.66  cnf(i_0_812, plain, (hBOOL(hAPP(c_Lattices_Oupper__semilattice__class_Osup(X1,X2,tc_fun(X3,tc_bool)),X4))|~hBOOL(hAPP(X1,X4)))).
% 1.60/0.66  cnf(i_0_762, plain, (c_HOL_Ouminus__class_Ouminus(c_SetInterval_Oord__class_OatLeast(X1,X2),tc_fun(X2,tc_bool))=c_SetInterval_Oord__class_OlessThan(X1,X2)|~class_Orderings_Olinorder(X2))).
% 1.60/0.66  cnf(i_0_891, plain, (c_Lattices_Olower__semilattice__class_Oinf(X1,X2,X3)=X1|~class_Lattices_Olower__semilattice(X3)|~c_lessequals(X1,X2,X3))).
% 1.60/0.66  cnf(i_0_829, plain, (c_HOL_Oord__class_Oless(X1,X2,X3)|~class_OrderedGroup_Opordered__ab__group__add(X3)|~c_HOL_Oord__class_Oless(c_HOL_Ouminus__class_Ouminus(X2,X3),c_HOL_Ouminus__class_Ouminus(X1,X3),X3))).
% 1.60/0.66  cnf(i_0_882, plain, (c_lessequals(X1,X2,X3)|~class_OrderedGroup_Opordered__ab__group__add(X3)|~c_lessequals(c_HOL_Ouminus__class_Ouminus(X2,X3),c_HOL_Ouminus__class_Ouminus(X1,X3),X3))).
% 1.60/0.66  cnf(i_0_887, plain, (c_lessequals(X1,X2,X3)|c_HOL_Oord__class_Oless(X2,X1,X3)|~class_Orderings_Olinorder(X3))).
% 1.60/0.66  cnf(i_0_1050, plain, (c_lessequals(X1,X2,tc_fun(X3,tc_bool))|~c_lessequals(c_Set_Oinsert(X4,X1,X3),X2,tc_fun(X3,tc_bool)))).
% 1.60/0.66  cnf(i_0_1093, plain, (hBOOL(hAPP(hAPP(c_in(X1),X2),X3))|~c_lessequals(c_Set_Oinsert(X2,X4,X1),X3,tc_fun(X1,tc_bool)))).
% 1.60/0.66  cnf(i_0_1081, plain, (c_lessequals(X1,X2,tc_fun(X3,tc_bool))|~hBOOL(hAPP(hAPP(c_in(X3),c_ATP__Linkup_Osko__Set__XsubsetI__1__1(X1,X2,X3)),X2)))).
% 1.60/0.66  cnf(i_0_1090, plain, (c_lessequals(X1,X2,tc_fun(X3,tc_bool))|~hBOOL(hAPP(hAPP(c_in(X3),c_ATP__Linkup_Osko__Set__Xsubset__iff__1__1(X1,X2,X3)),X2)))).
% 1.60/0.66  cnf(i_0_830, plain, (c_HOL_Ouminus__class_Ouminus(c_SetInterval_Oord__class_OatMost(X1,X2),tc_fun(X2,tc_bool))=c_SetInterval_Oord__class_OgreaterThan(X1,X2)|~class_Orderings_Olinorder(X2))).
% 1.60/0.66  cnf(i_0_642, plain, (c_HOL_Oord__class_Oless(X1,X2,X3)|~class_HOL_Oord(X3)|~hBOOL(hAPP(hAPP(c_in(X3),X2),c_SetInterval_Oord__class_OgreaterThan(X1,X3))))).
% 1.60/0.66  cnf(i_0_1059, plain, (c_lessequals(X1,X2,tc_fun(X3,tc_bool))|~c_lessequals(X1,c_Lattices_Olower__semilattice__class_Oinf(X4,X2,tc_fun(X3,tc_bool)),tc_fun(X3,tc_bool)))).
% 1.60/0.66  cnf(i_0_1060, plain, (c_lessequals(X1,X2,tc_fun(X3,tc_bool))|~c_lessequals(X1,c_Lattices_Olower__semilattice__class_Oinf(X2,X4,tc_fun(X3,tc_bool)),tc_fun(X3,tc_bool)))).
% 1.60/0.66  cnf(i_0_929, plain, (c_lessequals(X1,X2,tc_fun(X3,tc_bool))|~c_lessequals(c_Lattices_Oupper__semilattice__class_Osup(X4,X1,tc_fun(X3,tc_bool)),X2,tc_fun(X3,tc_bool)))).
% 1.60/0.66  cnf(i_0_1020, plain, (c_HOL_Ouminus__class_Ouminus(c_SetInterval_Oord__class_OgreaterThan(X1,X2),tc_fun(X2,tc_bool))=c_SetInterval_Oord__class_OatMost(X1,X2)|~class_Orderings_Olinorder(X2))).
% 1.60/0.66  cnf(i_0_779, plain, (c_HOL_Oord__class_Oless(X1,X2,X3)|~class_HOL_Oord(X3)|~hBOOL(hAPP(hAPP(c_in(X3),X1),c_SetInterval_Oord__class_OlessThan(X2,X3))))).
% 1.60/0.66  cnf(i_0_1078, plain, (c_lessequals(X1,X2,X3)|~class_HOL_Oord(X3)|~hBOOL(hAPP(hAPP(c_in(X3),X2),c_SetInterval_Oord__class_OatLeast(X1,X3))))).
% 1.60/0.66  cnf(i_0_1075, plain, (c_lessequals(X1,X2,X3)|~class_HOL_Oord(X3)|~hBOOL(hAPP(hAPP(c_in(X3),X1),c_SetInterval_Oord__class_OatMost(X2,X3))))).
% 1.60/0.66  cnf(i_0_848, plain, (X1=X2|c_HOL_Oord__class_Oless(X1,X2,X3)|~c_lessequals(X1,X2,X3)|~class_Orderings_Oorder(X3))).
% 1.60/0.66  cnf(i_0_930, plain, (c_lessequals(X1,X2,tc_fun(X3,tc_bool))|~c_lessequals(c_Lattices_Oupper__semilattice__class_Osup(X1,X4,tc_fun(X3,tc_bool)),X2,tc_fun(X3,tc_bool)))).
% 1.60/0.66  cnf(i_0_810, 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)))).
% 1.60/0.66  cnf(i_0_718, 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)))))).
% 1.60/0.66  cnf(i_0_725, 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)))))).
% 1.60/0.66  cnf(i_0_767, plain, (c_Lattices_Olower__semilattice__class_Oinf(X1,c_HOL_Ouminus__class_Ouminus(X1,X2),X2)=c_Orderings_Obot__class_Obot(X2)|~class_Lattices_Oboolean__algebra(X2))).
% 1.60/0.66  cnf(i_0_726, 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)))))).
% 1.60/0.66  cnf(i_0_981, plain, (hAPP(c_HOL_Ouminus__class_Ouminus(X1,tc_fun(t_a,X2)),v_x)=c_HOL_Ouminus__class_Ouminus(hAPP(X1,v_x),X2)|~class_HOL_Ouminus(X2))).
% 1.60/0.66  cnf(i_0_920, plain, (X1=X2|c_HOL_Oord__class_Oless(X1,X2,tc_fun(X3,tc_bool))|~c_lessequals(X1,X2,tc_fun(X3,tc_bool)))).
% 1.60/0.66  cnf(i_0_768, plain, (c_Lattices_Olower__semilattice__class_Oinf(c_HOL_Ouminus__class_Ouminus(X1,X2),X1,X2)=c_Orderings_Obot__class_Obot(X2)|~class_Lattices_Oboolean__algebra(X2))).
% 1.60/0.66  cnf(i_0_846, plain, (X1=X2|c_HOL_Oord__class_Oless(X1,X2,X3)|~class_Orderings_Olinorder(X3)|~c_lessequals(X1,X2,X3))).
% 1.60/0.66  cnf(i_0_899, plain, (c_lessequals(X1,c_Lattices_Oupper__semilattice__class_Osup(X2,X1,X3),X3)|~class_Lattices_Olattice(X3))).
% 1.60/0.66  cnf(i_0_1132, 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))).
% 1.60/0.66  cnf(i_0_1047, plain, (c_lessequals(X1,X2,tc_fun(X3,tc_bool))|~c_lessequals(c_HOL_Ouminus__class_Ouminus(X2,tc_fun(X3,tc_bool)),c_HOL_Ouminus__class_Ouminus(X1,tc_fun(X3,tc_bool)),tc_fun(X3,tc_bool)))).
% 1.60/0.66  cnf(i_0_1025, 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)))).
% 1.60/0.66  cnf(i_0_649, plain, (c_Lattices_Oupper__semilattice__class_Osup(X1,X2,X3)=c_Lattices_Oupper__semilattice__class_Osup(X2,X1,X3)|~class_Lattices_Olattice(X3))).
% 1.60/0.66  cnf(i_0_896, plain, (c_lessequals(X1,c_Lattices_Oupper__semilattice__class_Osup(X2,X1,X3),X3)|~class_Lattices_Oupper__semilattice(X3))).
% 1.60/0.66  cnf(i_0_900, plain, (c_lessequals(X1,c_Lattices_Oupper__semilattice__class_Osup(X1,X2,X3),X3)|~class_Lattices_Olattice(X3))).
% 1.60/0.66  cnf(i_0_895, plain, (c_lessequals(X1,c_Lattices_Oupper__semilattice__class_Osup(X1,X2,X3),X3)|~class_Lattices_Oupper__semilattice(X3))).
% 1.60/0.66  cnf(i_0_872, plain, (c_lessequals(c_Lattices_Olower__semilattice__class_Oinf(X1,X2,X3),X2,X3)|~class_Lattices_Olattice(X3))).
% 1.60/0.66  cnf(i_0_868, plain, (c_lessequals(c_Lattices_Olower__semilattice__class_Oinf(X1,X2,X3),X2,X3)|~class_Lattices_Olower__semilattice(X3))).
% 1.60/0.66  cnf(i_0_1061, plain, (c_lessequals(X1,X2,tc_fun(X3,tc_bool))|hBOOL(hAPP(X1,c_ATP__Linkup_Osko__Predicate__Xpredicate1I__1__1(X1,X2,X3))))).
% 1.60/0.66  cnf(i_0_873, plain, (c_lessequals(c_Lattices_Olower__semilattice__class_Oinf(X1,X2,X3),X1,X3)|~class_Lattices_Olattice(X3))).
% 1.60/0.66  cnf(i_0_867, plain, (c_lessequals(c_Lattices_Olower__semilattice__class_Oinf(X1,X2,X3),X1,X3)|~class_Lattices_Olower__semilattice(X3))).
% 1.60/0.66  cnf(i_0_1069, 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)))).
% 1.60/0.66  cnf(i_0_648, plain, (c_Lattices_Oupper__semilattice__class_Osup(X1,X2,X3)=c_Lattices_Oupper__semilattice__class_Osup(X2,X1,X3)|~class_Lattices_Oupper__semilattice(X3))).
% 1.60/0.66  cnf(i_0_917, plain, (c_lessequals(X1,X2,tc_fun(X3,X4))|~class_HOL_Oord(X4)|~c_HOL_Oord__class_Oless(X1,X2,tc_fun(X3,X4)))).
% 1.60/0.66  cnf(i_0_1101, plain, (c_lessequals(X1,X2,X3)|~c_lessequals(c_SetInterval_Oord__class_OatLeast(X2,X3),c_SetInterval_Oord__class_OatLeast(X1,X3),tc_fun(X3,tc_bool))|~class_Orderings_Oorder(X3))).
% 1.60/0.66  cnf(i_0_1107, plain, (c_lessequals(X1,X2,X3)|~c_lessequals(c_SetInterval_Oord__class_OatMost(X1,X3),c_SetInterval_Oord__class_OatMost(X2,X3),tc_fun(X3,tc_bool))|~class_Orderings_Oorder(X3))).
% 1.60/0.66  cnf(i_0_1111, plain, (c_lessequals(X1,X2,X3)|~class_Orderings_Olinorder(X3)|~c_lessequals(c_SetInterval_Oord__class_OlessThan(X1,X3),c_SetInterval_Oord__class_OlessThan(X2,X3),tc_fun(X3,tc_bool)))).
% 1.60/0.66  cnf(i_0_1116, plain, (c_lessequals(X1,X2,X3)|c_lessequals(X2,X1,X3)|~class_Orderings_Olinorder(X3))).
% 1.60/0.66  cnf(i_0_1070, 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)))).
% 1.60/0.66  cnf(i_0_1122, plain, (c_Hoare__Mirabelle_Ohoare__derivs(X1,X2,X3)|~c_lessequals(X4,X1,tc_fun(tc_Hoare__Mirabelle_Otriple(X3),tc_bool))|~c_Hoare__Mirabelle_Ohoare__derivs(X4,X2,X3))).
% 1.60/0.66  cnf(i_0_1117, plain, (c_Hoare__Mirabelle_Ohoare__derivs(X1,X2,X3)|~c_lessequals(X2,X4,tc_fun(tc_Hoare__Mirabelle_Otriple(X3),tc_bool))|~c_Hoare__Mirabelle_Ohoare__derivs(X1,X4,X3))).
% 1.60/0.66  cnf(i_0_1072, plain, (c_lessequals(X1,c_Complete__Lattice_OSup__class_OSup(X2,X3),X3)|~class_Complete__Lattice_Ocomplete__lattice(X3)|~hBOOL(hAPP(hAPP(c_in(X3),X1),X2)))).
% 1.60/0.66  cnf(i_0_620, plain, (c_Lattices_Olower__semilattice__class_Oinf(X1,X2,X3)=c_Lattices_Olower__semilattice__class_Oinf(X2,X1,X3)|~class_Lattices_Olattice(X3))).
% 1.60/0.66  cnf(i_0_1109, plain, (c_lessequals(X1,X2,X3)|~class_Orderings_Olinorder(X3)|~c_lessequals(c_SetInterval_Oord__class_OgreaterThan(X2,X3),c_SetInterval_Oord__class_OgreaterThan(X1,X3),tc_fun(X3,tc_bool)))).
% 1.60/0.66  cnf(i_0_948, plain, (c_SetInterval_Oord__class_OatLeastAtMost(X1,X2,X3)=c_Orderings_Obot__class_Obot(tc_fun(X3,tc_bool))|~c_HOL_Oord__class_Oless(X2,X1,X3)|~class_Orderings_Oorder(X3))).
% 1.60/0.66  cnf(i_0_942, plain, (c_SetInterval_Oord__class_OatLeastLessThan(X1,X2,X3)=c_Orderings_Obot__class_Obot(tc_fun(X3,tc_bool))|~c_lessequals(X2,X1,X3)|~class_Orderings_Oorder(X3))).
% 1.60/0.66  cnf(i_0_613, 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))).
% 1.60/0.66  cnf(i_0_1073, plain, (c_lessequals(c_Complete__Lattice_OInf__class_OInf(X1,X2),X3,X2)|~class_Complete__Lattice_Ocomplete__lattice(X2)|~hBOOL(hAPP(hAPP(c_in(X2),X3),X1)))).
% 1.60/0.66  cnf(i_0_754, 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)))).
% 1.60/0.66  cnf(i_0_1023, plain, (hBOOL(hAPP(c_Set_Ovimage(X1,X2,X3,X4),X5))|~hBOOL(hAPP(X2,hAPP(X1,X5))))).
% 1.60/0.66  cnf(i_0_621, plain, (c_Lattices_Olower__semilattice__class_Oinf(X1,X2,X3)=c_Lattices_Olower__semilattice__class_Oinf(X2,X1,X3)|~class_Lattices_Olower__semilattice(X3))).
% 1.60/0.66  cnf(i_0_947, plain, (c_Lattices_Oupper__semilattice__class_Osup(X1,c_Lattices_Olower__semilattice__class_Oinf(X1,X2,X3),X3)=X1|~class_Lattices_Olattice(X3))).
% 1.60/0.66  cnf(i_0_960, plain, (c_Lattices_Olower__semilattice__class_Oinf(X1,c_Lattices_Oupper__semilattice__class_Osup(X1,X2,X3),X3)=X1|~class_Lattices_Olattice(X3))).
% 1.60/0.66  cnf(i_0_879, plain, (c_lessequals(X1,X2,X3)|c_HOL_Oord__class_Oless(X2,X1,X3)|~class_Orderings_Opreorder(X3)|~c_lessequals(X2,X1,X3))).
% 1.60/0.66  cnf(i_0_742, plain, (c_HOL_Oord__class_Oless(X1,X2,X3)|~c_HOL_Oord__class_Oless(X4,X2,X3)|~c_HOL_Oord__class_Oless(X1,X4,X3)|~class_Orderings_Oorder(X3))).
% 1.60/0.66  cnf(i_0_859, plain, (c_HOL_Oord__class_Oless(X1,X2,X3)|~c_lessequals(X1,X4,X3)|~c_HOL_Oord__class_Oless(X4,X2,X3)|~class_Orderings_Oorder(X3))).
% 1.60/0.66  cnf(i_0_1077, plain, (hBOOL(hAPP(hAPP(c_in(X1),X2),c_SetInterval_Oord__class_OatLeast(X3,X1)))|~class_HOL_Oord(X1)|~c_lessequals(X3,X2,X1))).
% 1.60/0.66  cnf(i_0_1074, plain, (hBOOL(hAPP(hAPP(c_in(X1),X2),c_SetInterval_Oord__class_OatMost(X3,X1)))|~class_HOL_Oord(X1)|~c_lessequals(X2,X3,X1))).
% 1.60/0.66  cnf(i_0_1123, plain, (c_lessequals(X1,X2,tc_fun(X3,tc_bool))|~c_lessequals(X4,X2,tc_fun(X3,tc_bool))|~c_lessequals(X1,X4,tc_fun(X3,tc_bool)))).
% 1.60/0.66  cnf(i_0_1049, plain, (c_lessequals(X1,c_Set_Oinsert(X2,X3,X4),tc_fun(X4,tc_bool))|~c_lessequals(X1,X3,tc_fun(X4,tc_bool)))).
% 1.60/0.66  cnf(i_0_956, plain, (X1=X2|c_HOL_Oord__class_Oless(X1,X2,X3)|c_HOL_Oord__class_Oless(X2,X1,X3)|~class_Orderings_Olinorder(X3))).
% 1.60/0.66  cnf(i_0_858, plain, (c_HOL_Oord__class_Oless(X1,X2,X3)|~c_lessequals(X4,X2,X3)|~c_HOL_Oord__class_Oless(X1,X4,X3)|~class_Orderings_Oorder(X3))).
% 1.60/0.66  cnf(i_0_744, 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))).
% 1.60/0.66  cnf(i_0_857, 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))).
% 1.60/0.66  cnf(i_0_856, 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))).
% 1.60/0.66  cnf(i_0_1006, plain, (c_SetInterval_Oord__class_OatLeastAtMost(X1,X2,X3)=c_Orderings_Obot__class_Obot(tc_fun(X3,tc_bool))|c_lessequals(X1,X2,X3)|~class_Orderings_Oorder(X3))).
% 1.60/0.66  cnf(i_0_712, plain, (X1=X2|hBOOL(hAPP(hAPP(c_in(X3),X1),X4))|~hBOOL(hAPP(hAPP(c_in(X3),X1),c_Set_Oinsert(X2,X4,X3))))).
% 1.60/0.66  cnf(i_0_676, plain, (c_Lattices_Olower__semilattice__class_Oinf(X1,X2,tc_fun(X3,tc_bool))=c_Orderings_Obot__class_Obot(tc_fun(X3,tc_bool))|~c_lessequals(X1,c_HOL_Ouminus__class_Ouminus(X2,tc_fun(X3,tc_bool)),tc_fun(X3,tc_bool)))).
% 1.60/0.66  cnf(i_0_719, plain, (hBOOL(hAPP(hAPP(c_in(X1),X2),c_HOL_Ouminus__class_Ouminus(X3,tc_fun(X1,tc_bool))))|hBOOL(hAPP(hAPP(c_in(X1),X2),X3)))).
% 1.60/0.66  cnf(i_0_1131, plain, (c_lessequals(X1,X2,X3)|~c_lessequals(X4,X2,X3)|~c_lessequals(X1,X4,X3)|~class_Orderings_Oorder(X3))).
% 1.60/0.66  cnf(i_0_1130, plain, (c_lessequals(X1,X2,X3)|~class_Orderings_Opreorder(X3)|~c_lessequals(X4,X2,X3)|~c_lessequals(X1,X4,X3))).
% 1.60/0.66  cnf(i_0_691, plain, (c_HOL_Oord__class_Oless(X1,c_Lattices_Oupper__semilattice__class_Osup(X2,X3,X4),X4)|~class_Lattices_Oupper__semilattice(X4)|~c_HOL_Oord__class_Oless(X1,X3,X4))).
% 1.60/0.66  cnf(i_0_690, plain, (c_HOL_Oord__class_Oless(X1,c_Lattices_Oupper__semilattice__class_Osup(X2,X3,X4),X4)|~class_Lattices_Oupper__semilattice(X4)|~c_HOL_Oord__class_Oless(X1,X2,X4))).
% 1.60/0.66  cnf(i_0_701, plain, (hBOOL(hAPP(hAPP(c_in(X1),X2),c_Set_Oinsert(X3,X4,X1)))|~hBOOL(hAPP(hAPP(c_in(X1),X2),X4)))).
% 1.60/0.66  cnf(i_0_1125, plain, (hBOOL(hAPP(hAPP(c_in(X1),X2),X3))|~c_lessequals(X4,X3,tc_fun(X1,tc_bool))|~hBOOL(hAPP(hAPP(c_in(X1),X2),X4)))).
% 1.60/0.66  cnf(i_0_961, plain, (c_HOL_Oord__class_Oless(c_Lattices_Olower__semilattice__class_Oinf(X1,X2,X3),X4,X3)|~class_Lattices_Olower__semilattice(X3)|~c_HOL_Oord__class_Oless(X2,X4,X3))).
% 1.60/0.66  cnf(i_0_962, plain, (c_HOL_Oord__class_Oless(c_Lattices_Olower__semilattice__class_Oinf(X1,X2,X3),X4,X3)|~class_Lattices_Olower__semilattice(X3)|~c_HOL_Oord__class_Oless(X1,X4,X3))).
% 1.60/0.66  cnf(i_0_1027, 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))).
% 1.60/0.66  cnf(i_0_737, 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))))).
% 1.60/0.66  cnf(i_0_855, 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))).
% 1.60/0.66  cnf(i_0_863, plain, (c_lessequals(X1,c_Lattices_Oupper__semilattice__class_Osup(X2,X3,X4),X4)|~class_Lattices_Oupper__semilattice(X4)|~c_lessequals(X1,X3,X4))).
% 1.60/0.66  cnf(i_0_862, plain, (c_lessequals(X1,c_Lattices_Oupper__semilattice__class_Osup(X2,X3,X4),X4)|~class_Lattices_Oupper__semilattice(X4)|~c_lessequals(X1,X2,X4))).
% 1.60/0.66  cnf(i_0_666, plain, (c_Complete__Lattice_OInf__class_OInf(c_Set_Oinsert(X1,c_Orderings_Obot__class_Obot(tc_fun(X2,tc_bool)),X2),X2)=X1|~class_Complete__Lattice_Ocomplete__lattice(X2))).
% 1.60/0.66  cnf(i_0_780, plain, (hBOOL(hAPP(hAPP(c_in(X1),X2),c_SetInterval_Oord__class_OlessThan(X3,X1)))|~class_HOL_Oord(X1)|~c_HOL_Oord__class_Oless(X2,X3,X1))).
% 1.60/0.66  cnf(i_0_643, plain, (hBOOL(hAPP(hAPP(c_in(X1),X2),c_SetInterval_Oord__class_OgreaterThan(X3,X1)))|~class_HOL_Oord(X1)|~c_HOL_Oord__class_Oless(X3,X2,X1))).
% 1.60/0.66  cnf(i_0_707, 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)))).
% 1.60/0.66  cnf(i_0_955, 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))).
% 1.60/0.66  cnf(i_0_1000, plain, (c_Complete__Lattice_OSup__class_OSup(c_Set_Oinsert(X1,c_Orderings_Obot__class_Obot(tc_fun(X2,tc_bool)),X2),X2)=X1|~class_Complete__Lattice_Ocomplete__lattice(X2))).
% 1.60/0.66  cnf(i_0_904, plain, (c_lessequals(c_Lattices_Olower__semilattice__class_Oinf(X1,X2,X3),X4,X3)|~class_Lattices_Olower__semilattice(X3)|~c_lessequals(X2,X4,X3))).
% 1.60/0.66  cnf(i_0_903, plain, (c_lessequals(c_Lattices_Olower__semilattice__class_Oinf(X1,X2,X3),X4,X3)|~class_Lattices_Olower__semilattice(X3)|~c_lessequals(X1,X4,X3))).
% 1.60/0.66  cnf(i_0_1004, plain, (c_lessequals(X1,X2,X3)|~c_HOL_Oord__class_Oless(c_SetInterval_Oord__class_OatLeastAtMost(X4,X5,X3),c_SetInterval_Oord__class_OatLeastAtMost(X1,X2,X3),tc_fun(X3,tc_bool))|~class_Orderings_Oorder(X3))).
% 1.60/0.66  cnf(i_0_631, plain, (c_Lattices_Olower__semilattice__class_Oinf(X1,c_HOL_Ouminus__class_Ouminus(X2,X3),X3)=c_HOL_Ominus__class_Ominus(X1,X2,X3)|~class_Lattices_Oboolean__algebra(X3))).
% 1.60/0.66  cnf(i_0_1001, plain, (c_SetInterval_Oord__class_OatLeastLessThan(X1,X2,X3)=c_Orderings_Obot__class_Obot(tc_fun(X3,tc_bool))|c_HOL_Oord__class_Oless(X1,X2,X3)|~class_Orderings_Oorder(X3))).
% 1.60/0.66  cnf(i_0_706, 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)))).
% 1.60/0.66  cnf(i_0_677, plain, (c_lessequals(X1,c_HOL_Ouminus__class_Ouminus(X2,tc_fun(X3,tc_bool)),tc_fun(X3,tc_bool))|c_Lattices_Olower__semilattice__class_Oinf(X1,X2,tc_fun(X3,tc_bool))!=c_Orderings_Obot__class_Obot(tc_fun(X3,tc_bool)))).
% 1.60/0.66  cnf(i_0_728, plain, (X1=X2|c_COMBC(c_in(X3),X1,X3,tc_fun(X3,tc_bool),tc_bool)!=c_COMBC(c_in(X3),X2,X3,tc_fun(X3,tc_bool),tc_bool))).
% 1.60/0.66  cnf(i_0_721, plain, (hBOOL(hAPP(hAPP(c_in(X1),X2),X3))|~c_HOL_Oord__class_Oless(X4,X3,tc_fun(X1,tc_bool))|~hBOOL(hAPP(hAPP(c_in(X1),X2),X4)))).
% 1.60/0.66  cnf(i_0_692, plain, (c_HOL_Ouminus__class_Ouminus(c_HOL_Ominus__class_Ominus(X1,X2,X3),X3)=c_HOL_Ominus__class_Ominus(X2,X1,X3)|~class_OrderedGroup_Oab__group__add(X3))).
% 1.60/0.66  cnf(i_0_695, plain, (c_HOL_Oord__class_Oless(X1,c_HOL_Ouminus__class_Ouminus(X2,X3),X3)|~class_OrderedGroup_Opordered__ab__group__add(X3)|~c_HOL_Oord__class_Oless(X2,c_HOL_Ouminus__class_Ouminus(X1,X3),X3))).
% 1.60/0.66  cnf(i_0_866, plain, (c_lessequals(X1,c_Inductive_Ocomplete__lattice__class_Ogfp(X2,X3),X3)|~class_Complete__Lattice_Ocomplete__lattice(X3)|~c_lessequals(X1,hAPP(X2,X1),X3))).
% 1.60/0.66  cnf(i_0_697, plain, (c_HOL_Oord__class_Oless(c_HOL_Ouminus__class_Ouminus(X1,X2),X3,X2)|~class_OrderedGroup_Opordered__ab__group__add(X2)|~c_HOL_Oord__class_Oless(c_HOL_Ouminus__class_Ouminus(X3,X2),X1,X2))).
% 1.60/0.66  cnf(i_0_753, plain, (c_Lattices_Oupper__semilattice__class_Osup(hAPP(X1,v_x),hAPP(X2,v_x),X3)=hAPP(c_Lattices_Oupper__semilattice__class_Osup(X1,X2,tc_fun(t_a,X3)),v_x)|~class_Lattices_Olattice(X3))).
% 1.60/0.66  cnf(i_0_596, plain, (c_HOL_Ominus__class_Ominus(hAPP(X1,v_x),hAPP(X2,v_x),X3)=hAPP(c_HOL_Ominus__class_Ominus(X1,X2,tc_fun(t_a,X3)),v_x)|~class_HOL_Ominus(X3))).
% 1.60/0.66  cnf(i_0_999, plain, (c_Lattices_Olower__semilattice__class_Oinf(hAPP(X1,v_x),hAPP(X2,v_x),X3)=hAPP(c_Lattices_Olower__semilattice__class_Oinf(X1,X2,tc_fun(t_a,X3)),v_x)|~class_Lattices_Olattice(X3))).
% 1.60/0.66  cnf(i_0_1115, 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)))).
% 1.60/0.66  cnf(i_0_612, plain, (c_SetInterval_Oord__class_OatLeastAtMost(X1,X1,X2)=c_Set_Oinsert(X1,c_Orderings_Obot__class_Obot(tc_fun(X2,tc_bool)),X2)|~class_Orderings_Oorder(X2))).
% 1.60/0.66  cnf(i_0_828, plain, (c_HOL_Oord__class_Oless(c_HOL_Ouminus__class_Ouminus(X1,X2),c_HOL_Ouminus__class_Ouminus(X3,X2),X2)|~class_OrderedGroup_Opordered__ab__group__add(X2)|~c_HOL_Oord__class_Oless(X3,X1,X2))).
% 1.60/0.66  cnf(i_0_881, plain, (c_lessequals(c_HOL_Ouminus__class_Ouminus(X1,X2),c_HOL_Ouminus__class_Ouminus(X3,X2),X2)|~class_OrderedGroup_Opordered__ab__group__add(X2)|~c_lessequals(X3,X1,X2))).
% 1.60/0.66  cnf(i_0_907, plain, (c_lessequals(X1,c_HOL_Ouminus__class_Ouminus(X2,X3),X3)|~class_OrderedGroup_Opordered__ab__group__add(X3)|~c_lessequals(X2,c_HOL_Ouminus__class_Ouminus(X1,X3),X3))).
% 1.60/0.66  cnf(i_0_1092, plain, (c_lessequals(X1,X2,tc_fun(X3,tc_bool))|hBOOL(hAPP(hAPP(c_in(X3),c_ATP__Linkup_Osko__Set__XsubsetI__1__1(X1,X2,X3)),X1)))).
% 1.60/0.66  cnf(i_0_1082, plain, (c_lessequals(X1,X2,tc_fun(X3,tc_bool))|hBOOL(hAPP(hAPP(c_in(X3),c_ATP__Linkup_Osko__Set__Xsubset__iff__1__1(X1,X2,X3)),X1)))).
% 1.60/0.66  cnf(i_0_683, plain, (c_lessequals(X1,c_Lattices_Oupper__semilattice__class_Osup(X2,X3,tc_fun(X4,tc_bool)),tc_fun(X4,tc_bool))|~c_lessequals(c_HOL_Ominus__class_Ominus(X1,X2,tc_fun(X4,tc_bool)),X3,tc_fun(X4,tc_bool)))).
% 1.60/0.66  cnf(i_0_1095, plain, (c_lessequals(X1,X2,tc_fun(X3,tc_bool))|hBOOL(hAPP(hAPP(c_in(X3),X4),X1))|~c_lessequals(X1,c_Set_Oinsert(X4,X2,X3),tc_fun(X3,tc_bool)))).
% 1.60/0.66  cnf(i_0_772, plain, (c_Complete__Lattice_OInf__class_OInf(c_Set_Oinsert(X1,X2,X3),X3)=c_Lattices_Olower__semilattice__class_Oinf(X1,c_Complete__Lattice_OInf__class_OInf(X2,X3),X3)|~class_Complete__Lattice_Ocomplete__lattice(X3))).
% 1.60/0.66  cnf(i_0_778, plain, (c_Complete__Lattice_OSup__class_OSup(c_Set_Oinsert(X1,X2,X3),X3)=c_Lattices_Oupper__semilattice__class_Osup(X1,c_Complete__Lattice_OSup__class_OSup(X2,X3),X3)|~class_Complete__Lattice_Ocomplete__lattice(X3))).
% 1.60/0.66  cnf(i_0_909, plain, (c_lessequals(c_HOL_Ouminus__class_Ouminus(X1,X2),X3,X2)|~class_OrderedGroup_Opordered__ab__group__add(X2)|~c_lessequals(c_HOL_Ouminus__class_Ouminus(X3,X2),X1,X2))).
% 1.60/0.66  cnf(i_0_660, 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))).
% 1.60/0.66  cnf(i_0_659, 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))).
% 1.60/0.66  cnf(i_0_837, 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)))).
% 1.60/0.66  cnf(i_0_1071, 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)))).
% 1.60/0.66  cnf(i_0_713, 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)))))).
% 1.60/0.66  cnf(i_0_987, 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))).
% 1.60/0.66  cnf(i_0_988, 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))).
% 1.60/0.66  cnf(i_0_869, 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))).
% 1.60/0.66  cnf(i_0_894, 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))).
% 1.60/0.66  cnf(i_0_835, plain, (c_HOL_Oord__class_Oless(X1,X2,tc_fun(X3,tc_bool))|~c_HOL_Oord__class_Oless(X1,c_Set_Oinsert(X4,X2,X3),tc_fun(X3,tc_bool))|~hBOOL(hAPP(hAPP(c_in(X3),X4),X2)))).
% 1.60/0.66  cnf(i_0_1046, plain, (c_lessequals(c_HOL_Ouminus__class_Ouminus(X1,tc_fun(X2,tc_bool)),c_HOL_Ouminus__class_Ouminus(X3,tc_fun(X2,tc_bool)),tc_fun(X2,tc_bool))|~c_lessequals(X3,X1,tc_fun(X2,tc_bool)))).
% 1.60/0.66  cnf(i_0_927, plain, (c_HOL_Oord__class_Oless(X1,X2,tc_fun(X3,tc_bool))|~c_lessequals(X1,X4,tc_fun(X3,tc_bool))|~c_HOL_Oord__class_Oless(X4,X2,tc_fun(X3,tc_bool)))).
% 1.60/0.66  cnf(i_0_1110, plain, (c_lessequals(c_SetInterval_Oord__class_OlessThan(X1,X2),c_SetInterval_Oord__class_OlessThan(X3,X2),tc_fun(X2,tc_bool))|~class_Orderings_Olinorder(X2)|~c_lessequals(X1,X3,X2))).
% 1.60/0.66  cnf(i_0_681, plain, (c_lessequals(X1,X2,X3)|~c_lessequals(X4,X1,X3)|~c_HOL_Oord__class_Oless(c_SetInterval_Oord__class_OatLeastAtMost(X4,X1,X3),c_SetInterval_Oord__class_OatLeastAtMost(X5,X2,X3),tc_fun(X3,tc_bool))|~class_Orderings_Oorder(X3))).
% 1.60/0.66  cnf(i_0_1104, plain, (c_lessequals(X1,X2,X3)|~c_lessequals(c_SetInterval_Oord__class_OatLeastAtMost(X4,X1,X3),c_SetInterval_Oord__class_OatLeastAtMost(X5,X2,X3),tc_fun(X3,tc_bool))|~c_lessequals(X4,X1,X3)|~class_Orderings_Oorder(X3))).
% 1.60/0.66  cnf(i_0_928, plain, (c_HOL_Oord__class_Oless(X1,X2,tc_fun(X3,tc_bool))|~c_lessequals(X4,X2,tc_fun(X3,tc_bool))|~c_HOL_Oord__class_Oless(X1,X4,tc_fun(X3,tc_bool)))).
% 1.60/0.66  cnf(i_0_1080, plain, (c_lessequals(c_Set_Oinsert(X1,X2,X3),X4,tc_fun(X3,tc_bool))|~c_lessequals(X2,X4,tc_fun(X3,tc_bool))|~hBOOL(hAPP(hAPP(c_in(X3),X1),X4)))).
% 1.60/0.66  cnf(i_0_1100, plain, (c_lessequals(c_SetInterval_Oord__class_OatLeast(X1,X2),c_SetInterval_Oord__class_OatLeast(X3,X2),tc_fun(X2,tc_bool))|~c_lessequals(X3,X1,X2)|~class_Orderings_Oorder(X2))).
% 1.60/0.66  cnf(i_0_680, plain, (c_lessequals(X1,X2,X3)|~c_lessequals(X2,X4,X3)|~c_HOL_Oord__class_Oless(c_SetInterval_Oord__class_OatLeastAtMost(X2,X4,X3),c_SetInterval_Oord__class_OatLeastAtMost(X1,X5,X3),tc_fun(X3,tc_bool))|~class_Orderings_Oorder(X3))).
% 1.60/0.66  cnf(i_0_1103, plain, (c_lessequals(X1,X2,X3)|~c_lessequals(c_SetInterval_Oord__class_OatLeastAtMost(X2,X4,X3),c_SetInterval_Oord__class_OatLeastAtMost(X1,X5,X3),tc_fun(X3,tc_bool))|~c_lessequals(X2,X4,X3)|~class_Orderings_Oorder(X3))).
% 1.60/0.66  cnf(i_0_978, 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))))).
% 1.60/0.66  cnf(i_0_1106, plain, (c_lessequals(c_SetInterval_Oord__class_OatMost(X1,X2),c_SetInterval_Oord__class_OatMost(X3,X2),tc_fun(X2,tc_bool))|~c_lessequals(X1,X3,X2)|~class_Orderings_Oorder(X2))).
% 1.60/0.66  cnf(i_0_682, plain, (c_lessequals(c_HOL_Ominus__class_Ominus(X1,X2,tc_fun(X3,tc_bool)),X4,tc_fun(X3,tc_bool))|~c_lessequals(X1,c_Lattices_Oupper__semilattice__class_Osup(X2,X4,tc_fun(X3,tc_bool)),tc_fun(X3,tc_bool)))).
% 1.60/0.66  cnf(i_0_734, 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)))).
% 1.60/0.66  cnf(i_0_1108, plain, (c_lessequals(c_SetInterval_Oord__class_OgreaterThan(X1,X2),c_SetInterval_Oord__class_OgreaterThan(X3,X2),tc_fun(X2,tc_bool))|~class_Orderings_Olinorder(X2)|~c_lessequals(X3,X1,X2))).
% 1.60/0.66  cnf(i_0_1141, plain, (c_lessequals(hAPP(X1,X2),hAPP(X3,X2),X4)|~class_HOL_Oord(X4)|~c_lessequals(X1,X3,tc_fun(X5,X4)))).
% 1.60/0.66  cnf(i_0_743, plain, (c_HOL_Oord__class_Oless(X1,X2,tc_fun(X3,tc_bool))|~c_HOL_Oord__class_Oless(X4,X2,tc_fun(X3,tc_bool))|~c_HOL_Oord__class_Oless(X1,X4,tc_fun(X3,tc_bool)))).
% 1.60/0.66  cnf(i_0_624, 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))).
% 1.60/0.66  cnf(i_0_627, 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))).
% 1.60/0.66  cnf(i_0_932, plain, (c_lessequals(X1,c_Lattices_Olower__semilattice__class_Oinf(X2,X3,tc_fun(X4,tc_bool)),tc_fun(X4,tc_bool))|~c_lessequals(X1,X3,tc_fun(X4,tc_bool))|~c_lessequals(X1,X2,tc_fun(X4,tc_bool)))).
% 1.60/0.66  cnf(i_0_1053, plain, (c_lessequals(c_Lattices_Oupper__semilattice__class_Osup(X1,X2,tc_fun(X3,tc_bool)),X4,tc_fun(X3,tc_bool))|~c_lessequals(X2,X4,tc_fun(X3,tc_bool))|~c_lessequals(X1,X4,tc_fun(X3,tc_bool)))).
% 1.60/0.66  cnf(i_0_663, plain, (c_Lattices_Olower__semilattice__class_Oinf(c_HOL_Ouminus__class_Ouminus(X1,X2),c_HOL_Ouminus__class_Ouminus(X3,X2),X2)=c_HOL_Ouminus__class_Ouminus(c_Lattices_Oupper__semilattice__class_Osup(X1,X3,X2),X2)|~class_Lattices_Oboolean__algebra(X2))).
% 1.60/0.66  cnf(i_0_813, 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))).
% 1.60/0.66  cnf(i_0_816, 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))).
% 1.60/0.66  cnf(i_0_1112, plain, (c_lessequals(X1,X2,X3)|c_lessequals(X4,X2,X3)|~class_Orderings_Olinorder(X3)|~c_lessequals(c_SetInterval_Oord__class_OatLeastLessThan(X2,X4,X3),c_SetInterval_Oord__class_OatLeastLessThan(X1,X5,X3),tc_fun(X3,tc_bool)))).
% 1.60/0.66  cnf(i_0_1113, plain, (c_lessequals(X1,X2,X3)|c_lessequals(X1,X4,X3)|~class_Orderings_Olinorder(X3)|~c_lessequals(c_SetInterval_Oord__class_OatLeastLessThan(X4,X1,X3),c_SetInterval_Oord__class_OatLeastLessThan(X5,X2,X3),tc_fun(X3,tc_bool)))).
% 1.60/0.66  cnf(i_0_699, 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)))).
% 1.60/0.66  cnf(i_0_704, plain, (hBOOL(hAPP(hAPP(X1,X2),X3))|~hBOOL(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(X4,X1,X5,tc_fun(X6,tc_bool)),X3))|~hBOOL(hAPP(hAPP(c_in(X5),X2),X4)))).
% 1.60/0.66  cnf(i_0_664, plain, (c_Lattices_Olower__semilattice__class_Oinf(c_HOL_Ouminus__class_Ouminus(X1,X2),c_HOL_Ouminus__class_Ouminus(X3,X2),X2)=c_HOL_Ouminus__class_Ouminus(c_Lattices_Oupper__semilattice__class_Osup(X1,X3,X2),X2)|~class_OrderedGroup_Olordered__ab__group__add(X2))).
% 1.60/0.66  cnf(i_0_652, plain, (c_Lattices_Oupper__semilattice__class_Osup(c_HOL_Ouminus__class_Ouminus(X1,X2),c_HOL_Ouminus__class_Ouminus(X3,X2),X2)=c_HOL_Ouminus__class_Ouminus(c_Lattices_Olower__semilattice__class_Oinf(X1,X3,X2),X2)|~class_Lattices_Oboolean__algebra(X2))).
% 1.60/0.66  cnf(i_0_653, plain, (c_Lattices_Oupper__semilattice__class_Osup(c_HOL_Ouminus__class_Ouminus(X1,X2),c_HOL_Ouminus__class_Ouminus(X3,X2),X2)=c_HOL_Ouminus__class_Ouminus(c_Lattices_Olower__semilattice__class_Oinf(X1,X3,X2),X2)|~class_OrderedGroup_Olordered__ab__group__add(X2))).
% 1.60/0.66  cnf(i_0_801, plain, (c_lessequals(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)),X1,tc_fun(X3,tc_bool))!=c_Lattices_Olower__semilattice__class_Oinf(X2,c_Lattices_Oupper__semilattice__class_Osup(X4,X1,tc_fun(X3,tc_bool)),tc_fun(X3,tc_bool)))).
% 1.60/0.66  cnf(i_0_1098, plain, (c_lessequals(X1,X2,tc_fun(X3,X4))|~class_HOL_Oord(X4)|~c_lessequals(hAPP(X1,c_ATP__Linkup_Osko__Orderings__Xle__funI__1__1(X1,X2,X3,X4)),hAPP(X2,c_ATP__Linkup_Osko__Orderings__Xle__funI__1__1(X1,X2,X3,X4)),X4))).
% 1.60/0.66  cnf(i_0_842, 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)))).
% 1.60/0.66  cnf(i_0_623, plain, (c_Lattices_Olower__semilattice__class_Oinf(c_SetInterval_Oord__class_OatLeast(X1,X2),c_SetInterval_Oord__class_OatMost(X1,X2),tc_fun(X2,tc_bool))=c_Set_Oinsert(X1,c_Orderings_Obot__class_Obot(tc_fun(X2,tc_bool)),X2)|~class_Orderings_Oorder(X2))).
% 1.60/0.66  cnf(i_0_1099, plain, (c_lessequals(X1,X2,tc_fun(X3,X4))|~class_HOL_Oord(X4)|~c_lessequals(hAPP(X1,c_ATP__Linkup_Osko__Orderings__Xle__fun__def__1__1(X1,X2,X3,X4)),hAPP(X2,c_ATP__Linkup_Osko__Orderings__Xle__fun__def__1__1(X1,X2,X3,X4)),X4))).
% 1.60/0.66  cnf(i_0_918, plain, (c_lessequals(X1,X2,tc_fun(X3,X4))|c_HOL_Oord__class_Oless(X2,X1,tc_fun(X3,X4))|~class_HOL_Oord(X4)|~c_lessequals(X2,X1,tc_fun(X3,X4)))).
% 1.60/0.66  cnf(i_0_1079, 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)))).
% 1.60/0.66  cnf(i_0_1076, plain, (c_lessequals(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(X1,X2,X3,X4),hAPP(X2,X5),X4)|~class_Complete__Lattice_Ocomplete__lattice(X4)|~hBOOL(hAPP(hAPP(c_in(X3),X5),X1)))).
% 1.60/0.66  cnf(i_0_1029, plain, (c_Lattices_Olower__semilattice__class_Oinf(c_SetInterval_Oord__class_OlessThan(X1,X2),c_SetInterval_Oord__class_OatLeastAtMost(X1,X3,X2),tc_fun(X2,tc_bool))=c_Orderings_Obot__class_Obot(tc_fun(X2,tc_bool))|~class_Orderings_Oorder(X2))).
% 1.60/0.66  cnf(i_0_1026, plain, (c_HOL_Ouminus__class_Ouminus(c_Lattices_Olower__semilattice__class_Oinf(c_HOL_Ouminus__class_Ouminus(X1,X2),c_HOL_Ouminus__class_Ouminus(X3,X2),X2),X2)=c_Lattices_Oupper__semilattice__class_Osup(X1,X3,X2)|~class_OrderedGroup_Olordered__ab__group__add(X2))).
% 1.60/0.66  cnf(i_0_645, plain, (c_HOL_Ouminus__class_Ouminus(c_Lattices_Oupper__semilattice__class_Osup(c_HOL_Ouminus__class_Ouminus(X1,X2),c_HOL_Ouminus__class_Ouminus(X3,X2),X2),X2)=c_Lattices_Olower__semilattice__class_Oinf(X1,X3,X2)|~class_OrderedGroup_Olordered__ab__group__add(X2))).
% 1.60/0.66  cnf(i_0_836, plain, (c_HOL_Oord__class_Oless(X1,c_Set_Oinsert(X2,X3,X4),tc_fun(X4,tc_bool))|~c_HOL_Oord__class_Oless(X1,X3,tc_fun(X4,tc_bool))|~hBOOL(hAPP(hAPP(c_in(X4),X2),X3)))).
% 1.60/0.66  cnf(i_0_657, plain, (c_HOL_Oord__class_Oless(X1,X2,X3)|c_HOL_Oord__class_Oless(X4,X5,X3)|~c_lessequals(X5,X1,X3)|~c_HOL_Oord__class_Oless(c_SetInterval_Oord__class_OatLeastAtMost(X5,X1,X3),c_SetInterval_Oord__class_OatLeastAtMost(X4,X2,X3),tc_fun(X3,tc_bool))|~class_Orderings_Oorder(X3))).
% 1.60/0.66  cnf(i_0_1088, plain, (c_lessequals(hAPP(X1,X2),c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(X3,X1,X4,tc_fun(X5,tc_bool)),tc_fun(X5,tc_bool))|~hBOOL(hAPP(hAPP(c_in(X4),X2),X3)))).
% 1.60/0.66  cnf(i_0_1085, plain, (c_lessequals(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(X1,X2,X3,tc_fun(X4,tc_bool)),hAPP(X2,X5),tc_fun(X4,tc_bool))|~hBOOL(hAPP(hAPP(c_in(X3),X5),X1)))).
% 1.60/0.66  cnf(i_0_1084, plain, (c_lessequals(X1,X2,tc_fun(X3,tc_bool))|~c_lessequals(c_COMBC(c_in(X3),X1,X3,tc_fun(X3,tc_bool),tc_bool),c_COMBC(c_in(X3),X2,X3,tc_fun(X3,tc_bool),tc_bool),tc_fun(X3,tc_bool)))).
% 1.60/0.66  cnf(i_0_729, 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)))).
% 1.60/0.66  cnf(i_0_1032, plain, (c_Lattices_Olower__semilattice__class_Oinf(c_SetInterval_Oord__class_OlessThan(X1,X2),c_SetInterval_Oord__class_OatLeastLessThan(X1,X3,X2),tc_fun(X2,tc_bool))=c_Orderings_Obot__class_Obot(tc_fun(X2,tc_bool))|~class_Orderings_Oorder(X2))).
% 1.60/0.66  cnf(i_0_669, plain, (c_Lattices_Olower__semilattice__class_Oinf(c_SetInterval_Oord__class_OatLeastAtMost(X1,X2,X3),c_SetInterval_Oord__class_OgreaterThan(X2,X3),tc_fun(X3,tc_bool))=c_Orderings_Obot__class_Obot(tc_fun(X3,tc_bool))|~class_Orderings_Oorder(X3))).
% 1.60/0.66  cnf(i_0_967, 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))).
% 1.60/0.66  cnf(i_0_965, 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))).
% 1.60/0.66  cnf(i_0_763, plain, (c_Lattices_Olower__semilattice__class_Oinf(c_SetInterval_Oord__class_OatLeastLessThan(X1,X2,X3),c_SetInterval_Oord__class_OatLeast(X2,X3),tc_fun(X3,tc_bool))=c_Orderings_Obot__class_Obot(tc_fun(X3,tc_bool))|~class_Orderings_Oorder(X3))).
% 1.60/0.66  cnf(i_0_1068, 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)))).
% 1.60/0.66  cnf(i_0_922, plain, (c_lessequals(c_Set_Oinsert(X1,X2,X3),c_Set_Oinsert(X1,X4,X3),tc_fun(X3,tc_bool))|~c_lessequals(X2,X4,tc_fun(X3,tc_bool)))).
% 1.60/0.66  cnf(i_0_1091, plain, (hBOOL(hAPP(hAPP(c_in(X1),X2),c_Inductive_Ocomplete__lattice__class_Ogfp(X3,tc_fun(X1,tc_bool))))|~c_lessequals(X4,hAPP(X3,X4),tc_fun(X1,tc_bool))|~hBOOL(hAPP(hAPP(c_in(X1),X2),X4)))).
% 1.60/0.66  cnf(i_0_990, plain, (c_Lattices_Oupper__semilattice__class_Osup(c_SetInterval_Oord__class_OlessThan(X1,X2),c_SetInterval_Oord__class_OatLeastAtMost(X1,X3,X2),tc_fun(X2,tc_bool))=c_SetInterval_Oord__class_OatMost(X3,X2)|~class_Orderings_Olinorder(X2)|~c_lessequals(X1,X3,X2))).
% 1.60/0.66  cnf(i_0_760, 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)))).
% 1.60/0.66  cnf(i_0_968, plain, (c_Lattices_Oupper__semilattice__class_Osup(c_SetInterval_Oord__class_OlessThan(X1,X2),c_SetInterval_Oord__class_OatLeastLessThan(X1,X3,X2),tc_fun(X2,tc_bool))=c_SetInterval_Oord__class_OlessThan(X3,X2)|~class_Orderings_Olinorder(X2)|~c_lessequals(X1,X3,X2))).
% 1.60/0.66  cnf(i_0_641, plain, (c_Lattices_Oupper__semilattice__class_Osup(c_SetInterval_Oord__class_OatLeastAtMost(X1,X2,X3),c_SetInterval_Oord__class_OgreaterThan(X2,X3),tc_fun(X3,tc_bool))=c_SetInterval_Oord__class_OatLeast(X1,X3)|~class_Orderings_Olinorder(X3)|~c_lessequals(X1,X2,X3))).
% 1.60/0.66  cnf(i_0_841, plain, (c_Lattices_Olower__semilattice__class_Oinf(c_SetInterval_Oord__class_OatLeastLessThan(X1,X2,X3),c_SetInterval_Oord__class_OatLeastAtMost(X2,X4,X3),tc_fun(X3,tc_bool))=c_Orderings_Obot__class_Obot(tc_fun(X3,tc_bool))|~class_Orderings_Oorder(X3))).
% 1.60/0.66  cnf(i_0_740, 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)))).
% 1.60/0.66  cnf(i_0_820, 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)))).
% 1.60/0.66  cnf(i_0_1031, plain, (c_Lattices_Oupper__semilattice__class_Osup(c_SetInterval_Oord__class_OatLeastLessThan(X1,X2,X3),c_SetInterval_Oord__class_OatLeast(X2,X3),tc_fun(X3,tc_bool))=c_SetInterval_Oord__class_OatLeast(X1,X3)|~class_Orderings_Olinorder(X3)|~c_lessequals(X1,X2,X3))).
% 1.60/0.66  cnf(i_0_761, plain, (c_Lattices_Olower__semilattice__class_Oinf(c_SetInterval_Oord__class_OatLeastLessThan(X1,X2,X3),c_SetInterval_Oord__class_OatLeastLessThan(X2,X4,X3),tc_fun(X3,tc_bool))=c_Orderings_Obot__class_Obot(tc_fun(X3,tc_bool))|~class_Orderings_Oorder(X3))).
% 1.60/0.66  cnf(i_0_983, 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))).
% 1.60/0.66  cnf(i_0_750, 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))).
% 1.60/0.66  cnf(i_0_982, 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))).
% 1.60/0.66  cnf(i_0_749, 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))).
% 1.60/0.66  cnf(i_0_605, 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)))).
% 1.60/0.66  cnf(i_0_925, plain, (c_HOL_Ominus__class_Ominus(X1,c_HOL_Ominus__class_Ominus(X2,X3,tc_fun(X4,tc_bool)),tc_fun(X4,tc_bool))=X3|~c_lessequals(X3,X1,tc_fun(X4,tc_bool))|~c_lessequals(X1,X2,tc_fun(X4,tc_bool)))).
% 1.60/0.66  cnf(i_0_1017, plain, (X1=c_Set_Oinsert(X2,c_Orderings_Obot__class_Obot(tc_fun(X3,tc_bool)),X3)|X1=c_Orderings_Obot__class_Obot(tc_fun(X3,tc_bool))|~c_lessequals(X1,c_Set_Oinsert(X2,c_Orderings_Obot__class_Obot(tc_fun(X3,tc_bool)),X3),tc_fun(X3,tc_bool)))).
% 1.60/0.66  cnf(i_0_914, plain, (c_lessequals(X1,X2,tc_fun(X3,tc_bool))|hBOOL(hAPP(hAPP(c_in(X3),X4),X1))|hBOOL(hAPP(hAPP(c_in(X3),X4),X2))|~c_HOL_Oord__class_Oless(X1,c_Set_Oinsert(X4,X2,X3),tc_fun(X3,tc_bool)))).
% 1.60/0.66  cnf(i_0_609, 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))).
% 1.60/0.66  cnf(i_0_625, 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))).
% 1.60/0.66  cnf(i_0_604, 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)))).
% 1.60/0.66  cnf(i_0_694, plain, (c_Complete__Lattice_OInf__class_OInf(c_Set_Oinsert(X1,c_Set_Oinsert(X2,c_Orderings_Obot__class_Obot(tc_fun(X3,tc_bool)),X3),X3),X3)=c_Lattices_Olower__semilattice__class_Oinf(X1,X2,X3)|~class_Complete__Lattice_Ocomplete__lattice(X3))).
% 1.60/0.66  cnf(i_0_668, plain, (c_Complete__Lattice_OSup__class_OSup(c_Set_Oinsert(X1,c_Set_Oinsert(X2,c_Orderings_Obot__class_Obot(tc_fun(X3,tc_bool)),X3),X3),X3)=c_Lattices_Oupper__semilattice__class_Osup(X1,X2,X3)|~class_Complete__Lattice_Ocomplete__lattice(X3))).
% 1.60/0.66  cnf(i_0_1102, plain, (c_lessequals(c_SetInterval_Oord__class_OatLeastAtMost(X1,X2,X3),c_SetInterval_Oord__class_OatLeastAtMost(X4,X5,X3),tc_fun(X3,tc_bool))|c_lessequals(X1,X2,X3)|~class_Orderings_Oorder(X3))).
% 1.60/0.66  cnf(i_0_1089, plain, (hBOOL(hAPP(hAPP(c_in(X1),hAPP(X2,X3)),X4))|~c_lessequals(c_Set_Oimage(X2,X5,X6,X1),X4,tc_fun(X1,tc_bool))|~hBOOL(hAPP(hAPP(c_in(X6),X3),X5)))).
% 1.60/0.66  cnf(i_0_1087, plain, (c_lessequals(X1,hAPP(X2,X3),tc_fun(X4,tc_bool))|~c_lessequals(X1,c_Complete__Lattice_Ocomplete__lattice__class_OINFI(X5,X2,X6,tc_fun(X4,tc_bool)),tc_fun(X4,tc_bool))|~hBOOL(hAPP(hAPP(c_in(X6),X3),X5)))).
% 1.60/0.66  cnf(i_0_1086, plain, (c_lessequals(hAPP(X1,X2),X3,tc_fun(X4,tc_bool))|~c_lessequals(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(X5,X1,X6,tc_fun(X4,tc_bool)),X3,tc_fun(X4,tc_bool))|~hBOOL(hAPP(hAPP(c_in(X6),X2),X5)))).
% 1.60/0.66  cnf(i_0_715, plain, (hBOOL(hAPP(hAPP(c_in(X1),X2),hAPP(X3,X4)))|~hBOOL(hAPP(hAPP(c_in(X1),X2),c_Complete__Lattice_Ocomplete__lattice__class_OINFI(X5,X3,X6,tc_fun(X1,tc_bool))))|~hBOOL(hAPP(hAPP(c_in(X6),X4),X5)))).
% 1.60/0.66  cnf(i_0_626, 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))).
% 1.60/0.66  cnf(i_0_1105, plain, (c_lessequals(c_SetInterval_Oord__class_OatLeastAtMost(X1,X2,X3),c_SetInterval_Oord__class_OatLeastAtMost(X4,X5,X3),tc_fun(X3,tc_bool))|~c_lessequals(X4,X1,X3)|~c_lessequals(X2,X5,X3)|~class_Orderings_Oorder(X3))).
% 1.60/0.66  cnf(i_0_1024, 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))).
% 1.60/0.66  cnf(i_0_606, 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)))).
% 1.60/0.66  cnf(i_0_814, 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))).
% 1.60/0.66  cnf(i_0_936, plain, (c_lessequals(c_Lattices_Oupper__semilattice__class_Osup(X1,X2,tc_fun(X3,tc_bool)),c_Lattices_Oupper__semilattice__class_Osup(X4,X5,tc_fun(X3,tc_bool)),tc_fun(X3,tc_bo# Child (12257) has found a proof.
% 1.60/0.67  
% 1.60/0.67  # Proof search is over...
% 1.60/0.67  # Freeing feature tree
%------------------------------------------------------------------------------