TSTP Solution File: SWV857-1 by Etableau---0.67
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : Etableau---0.67
% Problem : SWV857-1 : 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 : n005.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 1.11s 0.59s
% Output : CNFRefutation 1.11s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12 % Problem : SWV857-1 : TPTP v8.1.0. Released v4.1.0.
% 0.03/0.13 % Command : etableau --auto --tsmdo --quicksat=10000 --tableau=1 --tableau-saturation=1 -s -p --tableau-cores=8 --cpu-limit=%d %s
% 0.12/0.34 % Computer : n005.cluster.edu
% 0.12/0.34 % Model : x86_64 x86_64
% 0.12/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.34 % Memory : 8042.1875MB
% 0.12/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.34 % CPULimit : 300
% 0.12/0.34 % WCLimit : 600
% 0.12/0.34 % DateTime : Wed Jun 15 12:09:53 EDT 2022
% 0.12/0.34 % CPUTime :
% 0.20/0.44 # No SInE strategy applied
% 0.20/0.44 # Auto-Mode selected heuristic G_E___207_C18_F1_SE_CS_SP_PI_PS_S5PRR_RG_S0Y
% 0.20/0.44 # and selection function SelectMaxLComplexAvoidPosPred.
% 0.20/0.44 #
% 0.20/0.44 # Presaturation interreduction done
% 0.20/0.44 # Number of axioms: 586 Number of unprocessed: 481
% 0.20/0.44 # Tableaux proof search.
% 0.20/0.44 # APR header successfully linked.
% 0.20/0.44 # Hello from C++
% 0.20/0.45 # The folding up rule is enabled...
% 0.20/0.45 # Local unification is enabled...
% 0.20/0.45 # Any saturation attempts will use folding labels...
% 0.20/0.45 # 481 beginning clauses after preprocessing and clausification
% 0.20/0.45 # Creating start rules for all 4 conjectures.
% 0.20/0.45 # There are 4 start rule candidates:
% 0.20/0.45 # Found 129 unit axioms.
% 0.20/0.45 # Unsuccessfully attempted saturation on 1 start tableaux, moving on.
% 0.20/0.45 # 4 start rule tableaux created.
% 0.20/0.45 # 352 extension rule candidate clauses
% 0.20/0.45 # 129 unit axiom clauses
% 0.20/0.45
% 0.20/0.45 # Requested 8, 32 cores available to the main process.
% 0.20/0.45 # There are not enough tableaux to fork, creating more from the initial 4
% 0.20/0.45 # Returning from population with 36 new_tableaux and 0 remaining starting tableaux.
% 0.20/0.45 # We now have 36 tableaux to operate on
% 1.11/0.59 # There were 1 total branch saturation attempts.
% 1.11/0.59 # There were 0 of these attempts blocked.
% 1.11/0.59 # There were 0 deferred branch saturation attempts.
% 1.11/0.59 # There were 0 free duplicated saturations.
% 1.11/0.59 # There were 1 total successful branch saturations.
% 1.11/0.59 # There were 0 successful branch saturations in interreduction.
% 1.11/0.59 # There were 0 successful branch saturations on the branch.
% 1.11/0.59 # There were 1 successful branch saturations after the branch.
% 1.11/0.59 # SZS status Unsatisfiable for /export/starexec/sandbox/benchmark/theBenchmark.p
% 1.11/0.59 # SZS output start for /export/starexec/sandbox/benchmark/theBenchmark.p
% 1.11/0.59 # Begin clausification derivation
% 1.11/0.59
% 1.11/0.59 # End clausification derivation
% 1.11/0.59 # Begin listing active clauses obtained from FOF to CNF conversion
% 1.11/0.59 cnf(i_0_1162, plain, (class_Lattices_Obounded__lattice(tc_bool))).
% 1.11/0.59 cnf(i_0_1131, negated_conjecture, (c_lessequals(v_tsa,v_Ga,tc_fun(tc_Hoare__Mirabelle_Otriple(t_a),tc_bool)))).
% 1.11/0.59 cnf(i_0_1132, negated_conjecture, (hBOOL(hAPP(hAPP(c_in(tc_Hoare__Mirabelle_Otriple(t_a)),v_xa),v_tsa)))).
% 1.11/0.59 cnf(i_0_1166, plain, (class_Orderings_Oorder(tc_bool))).
% 1.11/0.59 cnf(i_0_1154, plain, (class_Orderings_Oorder(tc_nat))).
% 1.11/0.59 cnf(i_0_1165, plain, (class_Lattices_Olattice(tc_bool))).
% 1.11/0.59 cnf(i_0_1152, plain, (class_Orderings_Olinorder(tc_nat))).
% 1.11/0.59 cnf(i_0_1153, plain, (class_Lattices_Olattice(tc_nat))).
% 1.11/0.59 cnf(i_0_1160, plain, (class_Lattices_Olower__semilattice(tc_bool))).
% 1.11/0.59 cnf(i_0_1159, plain, (class_Lattices_Oupper__semilattice(tc_bool))).
% 1.11/0.59 cnf(i_0_1163, plain, (class_Lattices_Oboolean__algebra(tc_bool))).
% 1.11/0.59 cnf(i_0_1169, plain, (class_HOL_Ominus(tc_bool))).
% 1.11/0.59 cnf(i_0_1170, plain, (class_HOL_Oord(tc_bool))).
% 1.11/0.59 cnf(i_0_1149, plain, (class_Lattices_Olower__semilattice(tc_nat))).
% 1.11/0.59 cnf(i_0_1158, plain, (class_Complete__Lattice_Ocomplete__lattice(tc_bool))).
% 1.11/0.59 cnf(i_0_1148, plain, (class_Lattices_Oupper__semilattice(tc_nat))).
% 1.11/0.59 cnf(i_0_1156, plain, (class_HOL_Ominus(tc_nat))).
% 1.11/0.59 cnf(i_0_1157, plain, (class_HOL_Oord(tc_nat))).
% 1.11/0.59 cnf(i_0_1164, plain, (class_Orderings_Opreorder(tc_bool))).
% 1.11/0.59 cnf(i_0_1161, plain, (class_Lattices_Odistrib__lattice(tc_bool))).
% 1.11/0.59 cnf(i_0_1167, plain, (class_Orderings_Obot(tc_bool))).
% 1.11/0.59 cnf(i_0_1168, plain, (class_HOL_Ouminus(tc_bool))).
% 1.11/0.59 cnf(i_0_1151, plain, (class_Orderings_Opreorder(tc_nat))).
% 1.11/0.59 cnf(i_0_1150, plain, (class_Lattices_Odistrib__lattice(tc_nat))).
% 1.11/0.59 cnf(i_0_1155, plain, (class_Orderings_Obot(tc_nat))).
% 1.11/0.59 cnf(i_0_671, plain, (hAPP(c_Fun_Oid(X1),X2)=X2)).
% 1.11/0.59 cnf(i_0_1107, 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))).
% 1.11/0.59 cnf(i_0_1171, plain, (c_fequal(X1,X1,X2))).
% 1.11/0.59 cnf(i_0_1115, plain, (c_lessequals(X1,X1,tc_fun(X2,tc_bool)))).
% 1.11/0.59 cnf(i_0_735, plain, (c_Lattices_Oupper__semilattice__class_Osup(X1,X1,tc_fun(X2,tc_bool))=X1)).
% 1.11/0.59 cnf(i_0_988, plain, (c_Lattices_Olower__semilattice__class_Oinf(X1,X1,tc_fun(X2,tc_bool))=X1)).
% 1.11/0.59 cnf(i_0_1037, plain, (c_lessequals(c_Orderings_Obot__class_Obot(tc_fun(X1,tc_bool)),X2,tc_fun(X1,tc_bool)))).
% 1.11/0.59 cnf(i_0_976, plain, (hBOOL(hAPP(c_Set_Oinsert(X1,X2,X3),X1)))).
% 1.11/0.59 cnf(i_0_642, plain, (c_Set_Oimage(c_Fun_Oid(X1),X2,X1,X1)=X2)).
% 1.11/0.59 cnf(i_0_632, plain, (c_Set_Ovimage(c_Fun_Oid(X1),X2,X1,X1)=X2)).
% 1.11/0.59 cnf(i_0_793, plain, (c_HOL_Ominus__class_Ominus(X1,X1,tc_fun(X2,tc_bool))=c_Orderings_Obot__class_Obot(tc_fun(X2,tc_bool)))).
% 1.11/0.59 cnf(i_0_676, plain, (c_HOL_Ouminus__class_Ouminus(c_HOL_Ouminus__class_Ouminus(X1,tc_fun(X2,tc_bool)),tc_fun(X2,tc_bool))=X1)).
% 1.11/0.59 cnf(i_0_792, plain, (c_HOL_Ominus__class_Ominus(X1,c_Orderings_Obot__class_Obot(tc_fun(X2,tc_bool)),tc_fun(X2,tc_bool))=X1)).
% 1.11/0.59 cnf(i_0_813, plain, (c_Lattices_Oupper__semilattice__class_Osup(X1,c_Orderings_Obot__class_Obot(tc_fun(X2,tc_bool)),tc_fun(X2,tc_bool))=X1)).
% 1.11/0.59 cnf(i_0_812, plain, (c_Lattices_Oupper__semilattice__class_Osup(c_Orderings_Obot__class_Obot(tc_fun(X1,tc_bool)),X2,tc_fun(X1,tc_bool))=X2)).
% 1.11/0.59 cnf(i_0_737, plain, (c_Fun_Ocomp(X1,c_Fun_Oid(X2),X2,X3,X2)=X1)).
% 1.11/0.59 cnf(i_0_981, plain, (c_Fun_Ofcomp(X1,c_Fun_Oid(X2),X3,X2,X2)=X1)).
% 1.11/0.59 cnf(i_0_736, plain, (c_Fun_Ocomp(c_Fun_Oid(X1),X2,X1,X1,X3)=X2)).
% 1.11/0.59 cnf(i_0_982, plain, (c_Fun_Ofcomp(c_Fun_Oid(X1),X2,X1,X1,X3)=X2)).
% 1.11/0.59 cnf(i_0_1036, plain, (c_lessequals(X1,c_Set_Oinsert(X2,X1,X3),tc_fun(X3,tc_bool)))).
% 1.11/0.59 cnf(i_0_714, plain, (hBOOL(hAPP(hAPP(c_in(X1),X2),c_Set_Oinsert(X2,X3,X1))))).
% 1.11/0.59 cnf(i_0_1046, plain, (c_lessequals(X1,c_Lattices_Oupper__semilattice__class_Osup(X2,X1,tc_fun(X3,tc_bool)),tc_fun(X3,tc_bool)))).
% 1.11/0.59 cnf(i_0_1047, plain, (c_lessequals(X1,c_Lattices_Oupper__semilattice__class_Osup(X1,X2,tc_fun(X3,tc_bool)),tc_fun(X3,tc_bool)))).
% 1.11/0.59 cnf(i_0_1049, plain, (c_lessequals(c_HOL_Ominus__class_Ominus(X1,X2,tc_fun(X3,tc_bool)),X1,tc_fun(X3,tc_bool)))).
% 1.11/0.59 cnf(i_0_926, plain, (c_lessequals(c_Lattices_Olower__semilattice__class_Oinf(X1,X2,tc_fun(X3,tc_bool)),X2,tc_fun(X3,tc_bool)))).
% 1.11/0.59 cnf(i_0_927, plain, (c_lessequals(c_Lattices_Olower__semilattice__class_Oinf(X1,X2,tc_fun(X3,tc_bool)),X1,tc_fun(X3,tc_bool)))).
% 1.11/0.59 cnf(i_0_784, 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)))).
% 1.11/0.59 cnf(i_0_814, 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)))).
% 1.11/0.59 cnf(i_0_783, 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)))).
% 1.11/0.59 cnf(i_0_653, 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)))).
% 1.11/0.59 cnf(i_0_1023, 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)))).
% 1.11/0.59 cnf(i_0_777, plain, (c_Set_Oinsert(X1,c_Set_Oinsert(X1,X2,X3),X3)=c_Set_Oinsert(X1,X2,X3))).
% 1.11/0.59 cnf(i_0_795, plain, (hAPP(c_Fun_Ocomp(X1,X2,X3,X4,X5),X6)=hAPP(X1,hAPP(X2,X6)))).
% 1.11/0.59 cnf(i_0_967, plain, (hAPP(c_Fun_Ofcomp(X1,X2,X3,X4,X5),X6)=hAPP(X2,hAPP(X1,X6)))).
% 1.11/0.59 cnf(i_0_627, plain, (hAPP(c_COMBC(X1,X2,X3,X4,X5),X6)=hAPP(hAPP(X1,X6),X2))).
% 1.11/0.59 cnf(i_0_657, 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)))).
% 1.11/0.59 cnf(i_0_621, 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)))).
% 1.11/0.59 cnf(i_0_662, 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)))).
% 1.11/0.59 cnf(i_0_587, 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)))).
% 1.11/0.59 cnf(i_0_650, 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)))).
% 1.11/0.59 cnf(i_0_908, 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))))).
% 1.11/0.59 cnf(i_0_907, 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))))).
% 1.11/0.59 cnf(i_0_979, 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)))).
% 1.11/0.59 cnf(i_0_626, 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)))).
% 1.11/0.59 cnf(i_0_628, 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)).
% 1.11/0.59 cnf(i_0_816, 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)).
% 1.11/0.59 cnf(i_0_787, 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)).
% 1.11/0.59 cnf(i_0_815, 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)).
% 1.11/0.59 cnf(i_0_786, 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)).
% 1.11/0.59 cnf(i_0_766, plain, (c_lessequals(c_Set_Oimage(X1,c_Set_Ovimage(X1,X2,X3,X4),X3,X4),X2,tc_fun(X4,tc_bool)))).
% 1.11/0.59 cnf(i_0_770, 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)))).
% 1.11/0.59 cnf(i_0_763, 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)))).
% 1.11/0.59 cnf(i_0_762, 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)))).
% 1.11/0.59 cnf(i_0_952, 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)).
% 1.11/0.59 cnf(i_0_998, 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)))).
% 1.11/0.59 cnf(i_0_617, 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)))).
% 1.11/0.59 cnf(i_0_806, 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)))).
% 1.11/0.59 cnf(i_0_970, 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))).
% 1.11/0.59 cnf(i_0_774, 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))))).
% 1.11/0.59 cnf(i_0_604, 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))).
% 1.11/0.59 cnf(i_0_654, 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)))).
% 1.11/0.59 cnf(i_0_643, 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)))).
% 1.11/0.59 cnf(i_0_775, 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))).
% 1.11/0.59 cnf(i_0_1022, 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))).
% 1.11/0.59 cnf(i_0_1009, 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)))).
% 1.11/0.59 cnf(i_0_974, 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)))).
% 1.11/0.59 cnf(i_0_822, 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)))).
% 1.11/0.59 cnf(i_0_740, 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)))).
% 1.11/0.59 cnf(i_0_764, 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))).
% 1.11/0.59 cnf(i_0_659, 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))).
% 1.11/0.59 cnf(i_0_685, 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))).
% 1.11/0.59 cnf(i_0_633, 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)))).
% 1.11/0.59 cnf(i_0_975, 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)))).
% 1.11/0.59 cnf(i_0_741, 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)))).
% 1.11/0.59 cnf(i_0_829, 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)))).
% 1.11/0.59 cnf(i_0_771, 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)))).
% 1.11/0.59 cnf(i_0_772, 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)))).
% 1.11/0.59 cnf(i_0_1011, 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)))).
% 1.11/0.59 cnf(i_0_999, 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)))).
% 1.11/0.59 cnf(i_0_789, 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)))).
% 1.11/0.59 cnf(i_0_619, 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)))).
% 1.11/0.59 cnf(i_0_600, 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)))).
% 1.11/0.59 cnf(i_0_823, 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)))).
% 1.11/0.59 cnf(i_0_995, 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)))).
% 1.11/0.59 cnf(i_0_639, 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)))).
% 1.11/0.59 cnf(i_0_611, 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)))).
% 1.11/0.59 cnf(i_0_629, plain, (c_Set_Oinsert(X1,c_Set_Oinsert(X2,X3,X4),X4)=c_Set_Oinsert(X2,c_Set_Oinsert(X1,X3,X4),X4))).
% 1.11/0.59 cnf(i_0_598, 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)))).
% 1.11/0.59 cnf(i_0_966, 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))).
% 1.11/0.59 cnf(i_0_618, 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)))).
% 1.11/0.59 cnf(i_0_807, 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)))).
% 1.11/0.59 cnf(i_0_983, 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))).
% 1.11/0.59 cnf(i_0_636, 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))).
% 1.11/0.59 cnf(i_0_959, 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)))).
% 1.11/0.59 cnf(i_0_1025, 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)))).
% 1.11/0.59 cnf(i_0_969, 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))).
% 1.11/0.59 cnf(i_0_1026, 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))).
% 1.11/0.59 cnf(i_0_1133, negated_conjecture, (~c_Hoare__Mirabelle_Otriple__valid(v_x,v_xa,t_a))).
% 1.11/0.59 cnf(i_0_985, plain, (c_Suc(X1)!=X1)).
% 1.11/0.59 cnf(i_0_932, plain, (~c_HOL_Oord__class_Oless(X1,X1,tc_fun(X2,tc_bool)))).
% 1.11/0.59 cnf(i_0_821, plain, (~hBOOL(hAPP(c_Orderings_Obot__class_Obot(tc_fun(X1,tc_bool)),X2)))).
% 1.11/0.59 cnf(i_0_700, plain, (~hBOOL(hAPP(hAPP(c_in(X1),X2),c_Orderings_Obot__class_Obot(tc_fun(X1,tc_bool)))))).
% 1.11/0.59 cnf(i_0_773, plain, (c_Set_Oinsert(X1,X2,X3)!=c_Orderings_Obot__class_Obot(tc_fun(X3,tc_bool)))).
% 1.11/0.59 cnf(i_0_798, plain, (~c_HOL_Oord__class_Oless(X1,c_Orderings_Obot__class_Obot(tc_fun(X2,tc_bool)),tc_fun(X2,tc_bool)))).
% 1.11/0.59 cnf(i_0_933, plain, (~c_HOL_Oord__class_Oless(X1,X1,X2)|~class_Orderings_Oorder(X2))).
% 1.11/0.59 cnf(i_0_934, plain, (~class_Orderings_Olinorder(X1)|~c_HOL_Oord__class_Oless(X2,X2,X1))).
% 1.11/0.59 cnf(i_0_935, plain, (~class_Orderings_Opreorder(X1)|~c_HOL_Oord__class_Oless(X2,X2,X1))).
% 1.11/0.59 cnf(i_0_1134, 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)))).
% 1.11/0.59 cnf(i_0_796, plain, (X1=X2|c_Suc(X1)!=c_Suc(X2))).
% 1.11/0.59 cnf(i_0_1172, plain, (X1=X2|~c_fequal(X1,X2,X3))).
% 1.11/0.59 cnf(i_0_1139, plain, (class_Lattices_Obounded__lattice(tc_fun(X1,X2))|~class_Lattices_Obounded__lattice(X2))).
% 1.11/0.59 cnf(i_0_1143, plain, (class_Orderings_Oorder(tc_fun(X1,X2))|~class_Orderings_Oorder(X2))).
% 1.11/0.59 cnf(i_0_880, plain, (~class_Orderings_Olinorder(X1)|~c_lessequals(X2,X3,X1)|~c_HOL_Oord__class_Oless(X3,X2,X1))).
% 1.11/0.59 cnf(i_0_882, plain, (~class_Orderings_Opreorder(X1)|~c_lessequals(X2,X3,X1)|~c_HOL_Oord__class_Oless(X3,X2,X1))).
% 1.11/0.59 cnf(i_0_1142, plain, (class_Lattices_Olattice(tc_fun(X1,X2))|~class_Lattices_Olattice(X2))).
% 1.11/0.59 cnf(i_0_1129, plain, (hBOOL(hAPP(X1,X2))|~hBOOL(hAPP(hAPP(c_in(X3),X2),X1)))).
% 1.11/0.59 cnf(i_0_755, plain, (hAPP(c_Orderings_Obot__class_Obot(tc_fun(t_a,X1)),v_x)=c_Orderings_Obot__class_Obot(X1)|~class_Orderings_Obot(X1))).
% 1.11/0.59 cnf(i_0_1137, plain, (class_Lattices_Olower__semilattice(tc_fun(X1,X2))|~class_Lattices_Olattice(X2))).
% 1.11/0.59 cnf(i_0_1136, plain, (class_Lattices_Oupper__semilattice(tc_fun(X1,X2))|~class_Lattices_Olattice(X2))).
% 1.11/0.59 cnf(i_0_1140, plain, (class_Lattices_Oboolean__algebra(tc_fun(X1,X2))|~class_Lattices_Oboolean__algebra(X2))).
% 1.11/0.59 cnf(i_0_1146, plain, (class_HOL_Ominus(tc_fun(X1,X2))|~class_HOL_Ominus(X2))).
% 1.11/0.59 cnf(i_0_1147, plain, (class_HOL_Oord(tc_fun(X1,X2))|~class_HOL_Oord(X2))).
% 1.11/0.59 cnf(i_0_1135, plain, (class_Complete__Lattice_Ocomplete__lattice(tc_fun(X1,X2))|~class_Complete__Lattice_Ocomplete__lattice(X2))).
% 1.11/0.59 cnf(i_0_1141, plain, (class_Orderings_Opreorder(tc_fun(X1,X2))|~class_Orderings_Opreorder(X2))).
% 1.11/0.59 cnf(i_0_1138, plain, (class_Lattices_Odistrib__lattice(tc_fun(X1,X2))|~class_Lattices_Odistrib__lattice(X2))).
% 1.11/0.59 cnf(i_0_1144, plain, (class_Orderings_Obot(tc_fun(X1,X2))|~class_Orderings_Obot(X2))).
% 1.11/0.59 cnf(i_0_1145, plain, (class_HOL_Ouminus(tc_fun(X1,X2))|~class_HOL_Ouminus(X2))).
% 1.11/0.59 cnf(i_0_1128, plain, (hBOOL(hAPP(hAPP(c_in(X1),X2),X3))|~hBOOL(hAPP(X3,X2)))).
% 1.11/0.59 cnf(i_0_1112, plain, (c_lessequals(X1,X1,X2)|~class_Orderings_Oorder(X2))).
% 1.11/0.59 cnf(i_0_1111, plain, (c_lessequals(X1,X1,X2)|~class_Orderings_Opreorder(X2))).
% 1.11/0.59 cnf(i_0_679, plain, (c_HOL_Ouminus__class_Ouminus(c_HOL_Ouminus__class_Ouminus(X1,X2),X2)=X1|~class_OrderedGroup_Ogroup__add(X2))).
% 1.11/0.59 cnf(i_0_1027, plain, (~c_HOL_Oord__class_Oless(X1,X2,X3)|~c_HOL_Oord__class_Oless(X2,X1,X3)|~class_Orderings_Oorder(X3))).
% 1.11/0.59 cnf(i_0_1028, plain, (~class_Orderings_Olinorder(X1)|~c_HOL_Oord__class_Oless(X2,X3,X1)|~c_HOL_Oord__class_Oless(X3,X2,X1))).
% 1.11/0.59 cnf(i_0_1029, plain, (~class_Orderings_Opreorder(X1)|~c_HOL_Oord__class_Oless(X2,X3,X1)|~c_HOL_Oord__class_Oless(X3,X2,X1))).
% 1.11/0.59 cnf(i_0_1057, plain, (c_Hoare__Mirabelle_Otriple__valid(X1,X2,X3)|~c_Hoare__Mirabelle_Otriple__valid(c_Suc(X1),X2,X3))).
% 1.11/0.59 cnf(i_0_1064, plain, (c_Hoare__Mirabelle_Ohoare__derivs(X1,X2,X3)|~c_lessequals(X2,X1,tc_fun(tc_Hoare__Mirabelle_Otriple(X3),tc_bool)))).
% 1.11/0.59 cnf(i_0_997, 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))).
% 1.11/0.59 cnf(i_0_992, 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))).
% 1.11/0.59 cnf(i_0_1034, plain, (c_lessequals(X1,X2,tc_fun(X3,tc_bool))|~c_HOL_Oord__class_Oless(X1,X2,tc_fun(X3,tc_bool)))).
% 1.11/0.59 cnf(i_0_666, plain, (hBOOL(hAPP(X1,X2))|~hBOOL(hAPP(c_Lattices_Olower__semilattice__class_Oinf(X3,X1,tc_fun(X4,tc_bool)),X2)))).
% 1.11/0.59 cnf(i_0_667, plain, (hBOOL(hAPP(X1,X2))|~hBOOL(hAPP(c_Lattices_Olower__semilattice__class_Oinf(X1,X3,tc_fun(X4,tc_bool)),X2)))).
% 1.11/0.59 cnf(i_0_930, 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)))).
% 1.11/0.59 cnf(i_0_678, plain, (c_HOL_Ouminus__class_Ouminus(c_HOL_Ouminus__class_Ouminus(X1,X2),X2)=X1|~class_Lattices_Oboolean__algebra(X2))).
% 1.11/0.59 cnf(i_0_607, plain, (X1=X2|c_SetInterval_Oord__class_OlessThan(X1,X3)!=c_SetInterval_Oord__class_OlessThan(X2,X3)|~class_Orderings_Olinorder(X3))).
% 1.11/0.59 cnf(i_0_958, plain, (X1=X2|c_SetInterval_Oord__class_OatLeast(X1,X3)!=c_SetInterval_Oord__class_OatLeast(X2,X3)|~class_Orderings_Olinorder(X3))).
% 1.11/0.59 cnf(i_0_1001, plain, (X1=X2|c_SetInterval_Oord__class_OatMost(X1,X3)!=c_SetInterval_Oord__class_OatMost(X2,X3)|~class_Orderings_Olinorder(X3))).
% 1.11/0.59 cnf(i_0_776, plain, (X1=X2|c_SetInterval_Oord__class_OgreaterThan(X1,X3)!=c_SetInterval_Oord__class_OgreaterThan(X2,X3)|~class_Orderings_Olinorder(X3))).
% 1.11/0.59 cnf(i_0_734, plain, (c_Lattices_Oupper__semilattice__class_Osup(X1,X1,X2)=X1|~class_Lattices_Oupper__semilattice(X2))).
% 1.11/0.59 cnf(i_0_712, 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)))).
% 1.11/0.59 cnf(i_0_831, plain, (c_Set_Oinsert(X1,X2,X3)=X2|~hBOOL(hAPP(hAPP(c_in(X3),X1),X2)))).
% 1.11/0.59 cnf(i_0_1031, plain, (c_lessequals(X1,X2,tc_fun(X3,tc_bool))|c_Lattices_Oupper__semilattice__class_Osup(X1,X2,tc_fun(X3,tc_bool))!=X2)).
% 1.11/0.59 cnf(i_0_987, plain, (c_Lattices_Olower__semilattice__class_Oinf(X1,X1,X2)=X1|~class_Lattices_Olower__semilattice(X2))).
% 1.11/0.59 cnf(i_0_870, plain, (c_lessequals(X1,X2,X3)|~c_HOL_Oord__class_Oless(X1,X2,X3)|~class_Orderings_Oorder(X3))).
% 1.11/0.59 cnf(i_0_869, plain, (c_lessequals(X1,X2,X3)|~class_Orderings_Opreorder(X3)|~c_HOL_Oord__class_Oless(X1,X2,X3))).
% 1.11/0.59 cnf(i_0_938, plain, (X1=X2|c_HOL_Ouminus__class_Ouminus(X1,X3)!=c_HOL_Ouminus__class_Ouminus(X2,X3)|~class_Lattices_Oboolean__algebra(X3))).
% 1.11/0.59 cnf(i_0_939, plain, (X1=X2|c_HOL_Ouminus__class_Ouminus(X1,X3)!=c_HOL_Ouminus__class_Ouminus(X2,X3)|~class_OrderedGroup_Ogroup__add(X3))).
% 1.11/0.59 cnf(i_0_872, plain, (c_lessequals(c_Orderings_Obot__class_Obot(X1),X2,X1)|~class_Orderings_Obot(X1))).
% 1.11/0.59 cnf(i_0_940, 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)))).
% 1.11/0.59 cnf(i_0_923, plain, (c_lessequals(X1,X2,tc_fun(X3,tc_bool))|~hBOOL(hAPP(X2,c_ATP__Linkup_Osko__Predicate__Xpredicate1I__1__1(X1,X2,X3))))).
% 1.11/0.59 cnf(i_0_911, plain, (~class_HOL_Oord(X1)|~c_lessequals(X2,X3,tc_fun(X4,X1))|~c_HOL_Oord__class_Oless(X3,X2,tc_fun(X4,X1)))).
% 1.11/0.59 cnf(i_0_590, 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))).
% 1.11/0.59 cnf(i_0_591, 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))).
% 1.11/0.59 cnf(i_0_867, plain, (c_lessequals(X1,X2,X3)|c_Lattices_Oupper__semilattice__class_Osup(X1,X2,X3)!=X2|~class_Lattices_Oupper__semilattice(X3))).
% 1.11/0.59 cnf(i_0_1126, plain, (X1=X2|~c_lessequals(X2,X1,tc_fun(X3,tc_bool))|~c_lessequals(X1,X2,tc_fun(X3,tc_bool)))).
% 1.11/0.59 cnf(i_0_1003, 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)))).
% 1.11/0.59 cnf(i_0_810, plain, (c_Lattices_Oupper__semilattice__class_Osup(X1,c_Orderings_Obot__class_Obot(X2),X2)=X1|~class_Lattices_Obounded__lattice(X2))).
% 1.11/0.59 cnf(i_0_884, plain, (c_lessequals(X1,X2,X3)|c_Lattices_Olower__semilattice__class_Oinf(X1,X2,X3)!=X1|~class_Lattices_Olower__semilattice(X3))).
% 1.11/0.59 cnf(i_0_1123, plain, (X1=X2|~c_lessequals(X2,X1,X3)|~c_lessequals(X1,X2,X3)|~class_Orderings_Oorder(X3))).
% 1.11/0.59 cnf(i_0_593, 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)))).
% 1.11/0.59 cnf(i_0_592, 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)))).
% 1.11/0.59 cnf(i_0_709, 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)))).
% 1.11/0.59 cnf(i_0_1110, plain, (hBOOL(hAPP(X1,X2))|~c_lessequals(X3,X1,tc_fun(X4,tc_bool))|~hBOOL(hAPP(X3,X2)))).
% 1.11/0.59 cnf(i_0_811, plain, (c_Lattices_Oupper__semilattice__class_Osup(c_Orderings_Obot__class_Obot(X1),X2,X1)=X2|~class_Lattices_Obounded__lattice(X1))).
% 1.11/0.59 cnf(i_0_623, 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))).
% 1.11/0.59 cnf(i_0_894, plain, (c_lessequals(X1,X2,X3)|~class_Lattices_Olower__semilattice(X3)|~c_lessequals(X1,c_Lattices_Olower__semilattice__class_Oinf(X4,X2,X3),X3))).
% 1.11/0.59 cnf(i_0_597, plain, (hBOOL(hAPP(c_Set_Oinsert(X1,X2,X3),X4))|~hBOOL(hAPP(X2,X4)))).
% 1.11/0.59 cnf(i_0_778, plain, (X1=X2|hBOOL(hAPP(X3,X1))|~hBOOL(hAPP(c_Set_Oinsert(X2,X3,X4),X1)))).
% 1.11/0.59 cnf(i_0_1033, plain, (c_Lattices_Oupper__semilattice__class_Osup(X1,X2,tc_fun(X3,tc_bool))=X2|~c_lessequals(X1,X2,tc_fun(X3,tc_bool)))).
% 1.11/0.59 cnf(i_0_781, 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))).
% 1.11/0.59 cnf(i_0_893, plain, (c_lessequals(X1,X2,X3)|~class_Lattices_Olower__semilattice(X3)|~c_lessequals(X1,c_Lattices_Olower__semilattice__class_Oinf(X2,X4,X3),X3))).
% 1.11/0.59 cnf(i_0_853, plain, (c_lessequals(X1,X2,X3)|~class_Lattices_Oupper__semilattice(X3)|~c_lessequals(c_Lattices_Oupper__semilattice__class_Osup(X4,X1,X3),X2,X3))).
% 1.11/0.59 cnf(i_0_1032, plain, (c_Lattices_Oupper__semilattice__class_Osup(X1,X2,tc_fun(X3,tc_bool))=X1|~c_lessequals(X2,X1,tc_fun(X3,tc_bool)))).
% 1.11/0.59 cnf(i_0_1044, plain, (c_Lattices_Olower__semilattice__class_Oinf(X1,X2,tc_fun(X3,tc_bool))=X2|~c_lessequals(X2,X1,tc_fun(X3,tc_bool)))).
% 1.11/0.59 cnf(i_0_1043, plain, (c_Lattices_Olower__semilattice__class_Oinf(X1,X2,tc_fun(X3,tc_bool))=X1|~c_lessequals(X1,X2,tc_fun(X3,tc_bool)))).
% 1.11/0.59 cnf(i_0_782, 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))).
% 1.11/0.59 cnf(i_0_788, 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))).
% 1.11/0.59 cnf(i_0_852, plain, (c_lessequals(X1,X2,X3)|~class_Lattices_Oupper__semilattice(X3)|~c_lessequals(c_Lattices_Oupper__semilattice__class_Osup(X1,X4,X3),X2,X3))).
% 1.11/0.59 cnf(i_0_866, plain, (c_Lattices_Oupper__semilattice__class_Osup(X1,X2,X3)=X2|~class_Lattices_Oupper__semilattice(X3)|~c_lessequals(X1,X2,X3))).
% 1.11/0.59 cnf(i_0_868, plain, (c_Lattices_Oupper__semilattice__class_Osup(X1,X2,X3)=X1|~class_Lattices_Oupper__semilattice(X3)|~c_lessequals(X2,X1,X3))).
% 1.11/0.59 cnf(i_0_1012, plain, (hBOOL(hAPP(X1,hAPP(X2,X3)))|~hBOOL(hAPP(c_Set_Ovimage(X2,X1,X4,X5),X3)))).
% 1.11/0.59 cnf(i_0_993, 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)))).
% 1.11/0.59 cnf(i_0_744, 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))))).
% 1.11/0.59 cnf(i_0_605, 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))).
% 1.11/0.59 cnf(i_0_885, plain, (c_Lattices_Olower__semilattice__class_Oinf(X1,X2,X3)=X2|~class_Lattices_Olower__semilattice(X3)|~c_lessequals(X2,X1,X3))).
% 1.11/0.59 cnf(i_0_883, plain, (c_Lattices_Olower__semilattice__class_Oinf(X1,X2,X3)=X1|~class_Lattices_Olower__semilattice(X3)|~c_lessequals(X1,X2,X3))).
% 1.11/0.59 cnf(i_0_818, 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))).
% 1.11/0.59 cnf(i_0_874, 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))).
% 1.11/0.59 cnf(i_0_800, plain, (hBOOL(hAPP(c_Lattices_Oupper__semilattice__class_Osup(X1,X2,tc_fun(X3,tc_bool)),X4))|~hBOOL(hAPP(X2,X4)))).
% 1.11/0.59 cnf(i_0_801, plain, (hBOOL(hAPP(c_Lattices_Oupper__semilattice__class_Osup(X1,X2,tc_fun(X3,tc_bool)),X4))|~hBOOL(hAPP(X1,X4)))).
% 1.11/0.59 cnf(i_0_1042, plain, (c_lessequals(X1,X2,tc_fun(X3,tc_bool))|~c_lessequals(c_Set_Oinsert(X4,X1,X3),X2,tc_fun(X3,tc_bool)))).
% 1.11/0.59 cnf(i_0_1086, plain, (hBOOL(hAPP(hAPP(c_in(X1),X2),X3))|~c_lessequals(c_Set_Oinsert(X2,X4,X1),X3,tc_fun(X1,tc_bool)))).
% 1.11/0.59 cnf(i_0_751, 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))).
% 1.11/0.59 cnf(i_0_879, plain, (c_lessequals(X1,X2,X3)|c_HOL_Oord__class_Oless(X2,X1,X3)|~class_Orderings_Olinorder(X3))).
% 1.11/0.59 cnf(i_0_1074, 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)))).
% 1.11/0.59 cnf(i_0_1083, 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)))).
% 1.11/0.59 cnf(i_0_819, 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))).
% 1.11/0.59 cnf(i_0_634, 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))))).
% 1.11/0.59 cnf(i_0_768, 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))))).
% 1.11/0.59 cnf(i_0_1071, plain, (c_lessequals(X1,X2,X3)|~class_HOL_Oord(X3)|~hBOOL(hAPP(hAPP(c_in(X3),X2),c_SetInterval_Oord__class_OatLeast(X1,X3))))).
% 1.11/0.59 cnf(i_0_1068, plain, (c_lessequals(X1,X2,X3)|~class_HOL_Oord(X3)|~hBOOL(hAPP(hAPP(c_in(X3),X1),c_SetInterval_Oord__class_OatMost(X2,X3))))).
% 1.11/0.59 cnf(i_0_1051, 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)))).
% 1.11/0.59 cnf(i_0_1052, 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)))).
% 1.11/0.59 cnf(i_0_921, 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)))).
% 1.11/0.59 cnf(i_0_922, 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)))).
% 1.11/0.59 cnf(i_0_1010, 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))).
% 1.11/0.59 cnf(i_0_840, plain, (X1=X2|c_HOL_Oord__class_Oless(X1,X2,X3)|~c_lessequals(X1,X2,X3)|~class_Orderings_Oorder(X3))).
% 1.11/0.59 cnf(i_0_799, 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)))).
% 1.11/0.59 cnf(i_0_710, 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)))))).
% 1.11/0.59 cnf(i_0_717, 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)))))).
% 1.11/0.59 cnf(i_0_718, 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)))))).
% 1.11/0.59 cnf(i_0_756, 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))).
% 1.11/0.59 cnf(i_0_838, plain, (X1=X2|c_HOL_Oord__class_Oless(X1,X2,X3)|~class_Orderings_Olinorder(X3)|~c_lessequals(X1,X2,X3))).
% 1.11/0.59 cnf(i_0_971, 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))).
% 1.11/0.59 cnf(i_0_912, plain, (X1=X2|c_HOL_Oord__class_Oless(X1,X2,tc_fun(X3,tc_bool))|~c_lessequals(X1,X2,tc_fun(X3,tc_bool)))).
% 1.11/0.59 cnf(i_0_1039, 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)))).
% 1.11/0.59 cnf(i_0_757, 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))).
% 1.11/0.59 cnf(i_0_891, plain, (c_lessequals(X1,c_Lattices_Oupper__semilattice__class_Osup(X2,X1,X3),X3)|~class_Lattices_Olattice(X3))).
% 1.11/0.59 cnf(i_0_888, plain, (c_lessequals(X1,c_Lattices_Oupper__semilattice__class_Osup(X2,X1,X3),X3)|~class_Lattices_Oupper__semilattice(X3))).
% 1.11/0.59 cnf(i_0_892, plain, (c_lessequals(X1,c_Lattices_Oupper__semilattice__class_Osup(X1,X2,X3),X3)|~class_Lattices_Olattice(X3))).
% 1.11/0.59 cnf(i_0_887, plain, (c_lessequals(X1,c_Lattices_Oupper__semilattice__class_Osup(X1,X2,X3),X3)|~class_Lattices_Oupper__semilattice(X3))).
% 1.11/0.59 cnf(i_0_1014, 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)))).
% 1.11/0.59 cnf(i_0_1053, plain, (c_lessequals(X1,X2,tc_fun(X3,tc_bool))|hBOOL(hAPP(X1,c_ATP__Linkup_Osko__Predicate__Xpredicate1I__1__1(X1,X2,X3))))).
% 1.11/0.59 cnf(i_0_864, plain, (c_lessequals(c_Lattices_Olower__semilattice__class_Oinf(X1,X2,X3),X2,X3)|~class_Lattices_Olattice(X3))).
% 1.11/0.59 cnf(i_0_860, plain, (c_lessequals(c_Lattices_Olower__semilattice__class_Oinf(X1,X2,X3),X2,X3)|~class_Lattices_Olower__semilattice(X3))).
% 1.11/0.59 cnf(i_0_641, plain, (c_Lattices_Oupper__semilattice__class_Osup(X1,X2,X3)=c_Lattices_Oupper__semilattice__class_Osup(X2,X1,X3)|~class_Lattices_Olattice(X3))).
% 1.11/0.59 cnf(i_0_865, plain, (c_lessequals(c_Lattices_Olower__semilattice__class_Oinf(X1,X2,X3),X1,X3)|~class_Lattices_Olattice(X3))).
% 1.11/0.59 cnf(i_0_859, plain, (c_lessequals(c_Lattices_Olower__semilattice__class_Oinf(X1,X2,X3),X1,X3)|~class_Lattices_Olower__semilattice(X3))).
% 1.11/0.59 cnf(i_0_909, plain, (c_lessequals(X1,X2,tc_fun(X3,X4))|~class_HOL_Oord(X4)|~c_HOL_Oord__class_Oless(X1,X2,tc_fun(X3,X4)))).
% 1.11/0.59 cnf(i_0_963, 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))).
% 1.11/0.59 cnf(i_0_1059, 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)))).
% 1.11/0.59 cnf(i_0_1060, 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)))).
% 1.11/0.59 cnf(i_0_1065, 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)))).
% 1.11/0.59 cnf(i_0_1066, 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)))).
% 1.11/0.59 cnf(i_0_640, plain, (c_Lattices_Oupper__semilattice__class_Osup(X1,X2,X3)=c_Lattices_Oupper__semilattice__class_Osup(X2,X1,X3)|~class_Lattices_Oupper__semilattice(X3))).
% 1.11/0.59 cnf(i_0_1109, plain, (c_lessequals(X1,X2,X3)|c_lessequals(X2,X1,X3)|~class_Orderings_Olinorder(X3))).
% 1.11/0.59 cnf(i_0_1094, 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))).
% 1.11/0.59 cnf(i_0_1100, 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))).
% 1.11/0.59 cnf(i_0_1104, 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)))).
% 1.11/0.59 cnf(i_0_1102, 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)))).
% 1.11/0.59 cnf(i_0_743, 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)))).
% 1.11/0.59 cnf(i_0_1013, plain, (hBOOL(hAPP(c_Set_Ovimage(X1,X2,X3,X4),X5))|~hBOOL(hAPP(X2,hAPP(X1,X5))))).
% 1.11/0.59 cnf(i_0_931, 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))).
% 1.11/0.59 cnf(i_0_609, plain, (c_Lattices_Olower__semilattice__class_Oinf(X1,X2,X3)=c_Lattices_Olower__semilattice__class_Oinf(X2,X1,X3)|~class_Lattices_Olattice(X3))).
% 1.11/0.59 cnf(i_0_937, 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))).
% 1.11/0.59 cnf(i_0_602, 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))).
% 1.11/0.59 cnf(i_0_936, plain, (c_Lattices_Oupper__semilattice__class_Osup(X1,c_Lattices_Olower__semilattice__class_Oinf(X1,X2,X3),X3)=X1|~class_Lattices_Olattice(X3))).
% 1.11/0.59 cnf(i_0_949, plain, (c_Lattices_Olower__semilattice__class_Oinf(X1,c_Lattices_Oupper__semilattice__class_Osup(X1,X2,X3),X3)=X1|~class_Lattices_Olattice(X3))).
% 1.11/0.59 cnf(i_0_1070, plain, (hBOOL(hAPP(hAPP(c_in(X1),X2),c_SetInterval_Oord__class_OatLeast(X3,X1)))|~class_HOL_Oord(X1)|~c_lessequals(X3,X2,X1))).
% 1.11/0.59 cnf(i_0_1067, plain, (hBOOL(hAPP(hAPP(c_in(X1),X2),c_SetInterval_Oord__class_OatMost(X3,X1)))|~class_HOL_Oord(X1)|~c_lessequals(X2,X3,X1))).
% 1.11/0.59 cnf(i_0_1114, 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)))).
% 1.11/0.59 cnf(i_0_1041, plain, (c_lessequals(X1,c_Set_Oinsert(X2,X3,X4),tc_fun(X4,tc_bool))|~c_lessequals(X1,X3,tc_fun(X4,tc_bool)))).
% 1.11/0.59 cnf(i_0_610, plain, (c_Lattices_Olower__semilattice__class_Oinf(X1,X2,X3)=c_Lattices_Olower__semilattice__class_Oinf(X2,X1,X3)|~class_Lattices_Olower__semilattice(X3))).
% 1.11/0.59 cnf(i_0_871, plain, (c_lessequals(X1,X2,X3)|c_HOL_Oord__class_Oless(X2,X1,X3)|~class_Orderings_Opreorder(X3)|~c_lessequals(X2,X1,X3))).
% 1.11/0.59 cnf(i_0_731, 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))).
% 1.11/0.59 cnf(i_0_851, 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))).
% 1.11/0.59 cnf(i_0_850, 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))).
% 1.11/0.59 cnf(i_0_996, 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))).
% 1.11/0.59 cnf(i_0_704, plain, (X1=X2|hBOOL(hAPP(hAPP(c_in(X3),X1),X4))|~hBOOL(hAPP(hAPP(c_in(X3),X1),c_Set_Oinsert(X2,X4,X3))))).
% 1.11/0.59 cnf(i_0_668, 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)))).
% 1.11/0.59 cnf(i_0_711, 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)))).
% 1.11/0.59 cnf(i_0_945, plain, (X1=X2|c_HOL_Oord__class_Oless(X1,X2,X3)|c_HOL_Oord__class_Oless(X2,X1,X3)|~class_Orderings_Olinorder(X3))).
% 1.11/0.59 cnf(i_0_733, 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))).
% 1.11/0.59 cnf(i_0_849, 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))).
% 1.11/0.59 cnf(i_0_848, 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))).
% 1.11/0.59 cnf(i_0_1122, plain, (c_lessequals(X1,X2,X3)|~c_lessequals(X4,X2,X3)|~c_lessequals(X1,X4,X3)|~class_Orderings_Oorder(X3))).
% 1.11/0.59 cnf(i_0_693, plain, (hBOOL(hAPP(hAPP(c_in(X1),X2),c_Set_Oinsert(X3,X4,X1)))|~hBOOL(hAPP(hAPP(c_in(X1),X2),X4)))).
% 1.11/0.59 cnf(i_0_1116, 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)))).
% 1.11/0.59 cnf(i_0_1121, plain, (c_lessequals(X1,X2,X3)|~class_Orderings_Opreorder(X3)|~c_lessequals(X4,X2,X3)|~c_lessequals(X1,X4,X3))).
% 1.11/0.59 cnf(i_0_683, 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))).
% 1.11/0.59 cnf(i_0_682, 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))).
% 1.11/0.59 cnf(i_0_950, 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))).
% 1.11/0.59 cnf(i_0_729, 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))))).
% 1.11/0.59 cnf(i_0_951, 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))).
% 1.11/0.59 cnf(i_0_1016, 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))).
% 1.11/0.59 cnf(i_0_847, 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))).
% 1.11/0.59 cnf(i_0_658, 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))).
% 1.11/0.59 cnf(i_0_769, 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))).
% 1.11/0.59 cnf(i_0_635, 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))).
% 1.11/0.59 cnf(i_0_699, 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)))).
% 1.11/0.59 cnf(i_0_990, 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))).
% 1.11/0.59 cnf(i_0_855, plain, (c_lessequals(X1,c_Lattices_Oupper__semilattice__class_Osup(X2,X3,X4),X4)|~class_Lattices_Oupper__semilattice(X4)|~c_lessequals(X1,X3,X4))).
% 1.11/0.59 cnf(i_0_854, plain, (c_lessequals(X1,c_Lattices_Oupper__semilattice__class_Osup(X2,X3,X4),X4)|~class_Lattices_Oupper__semilattice(X4)|~c_lessequals(X1,X2,X4))).
% 1.11/0.59 cnf(i_0_896, plain, (c_lessequals(c_Lattices_Olower__semilattice__class_Oinf(X1,X2,X3),X4,X3)|~class_Lattices_Olower__semilattice(X3)|~c_lessequals(X2,X4,X3))).
% 1.11/0.59 cnf(i_0_991, 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))).
% 1.11/0.59 cnf(i_0_698, 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)))).
% 1.11/0.59 cnf(i_0_669, 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)))).
% 1.11/0.59 cnf(i_0_720, 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))).
% 1.11/0.59 cnf(i_0_713, 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)))).
% 1.11/0.59 cnf(i_0_944, 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))).
% 1.11/0.59 cnf(i_0_895, plain, (c_lessequals(c_Lattices_Olower__semilattice__class_Oinf(X1,X2,X3),X4,X3)|~class_Lattices_Olower__semilattice(X3)|~c_lessequals(X1,X4,X3))).
% 1.11/0.59 cnf(i_0_994, 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))).
% 1.11/0.59 cnf(i_0_620, 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))).
% 1.11/0.59 cnf(i_0_684, 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))).
% 1.11/0.59 cnf(i_0_631, 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))).
% 1.11/0.59 cnf(i_0_742, 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))).
% 1.11/0.59 cnf(i_0_989, 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))).
% 1.11/0.59 cnf(i_0_1108, 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)))).
% 1.11/0.59 cnf(i_0_601, 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))).
% 1.11/0.59 cnf(i_0_1063, plain, (c_Hoare__Mirabelle_Ohoare__derivs(X1,X2,X3)|~c_Hoare__Mirabelle_Ohoare__derivs(X4,X2,X3)|~c_lessequals(X4,X1,tc_fun(tc_Hoare__Mirabelle_Otriple(X3),tc_bool)))).
% 1.11/0.59 cnf(i_0_1062, plain, (c_Hoare__Mirabelle_Ohoare__derivs(X1,X2,X3)|~c_Hoare__Mirabelle_Ohoare__derivs(X1,X4,X3)|~c_lessequals(X2,X4,tc_fun(tc_Hoare__Mirabelle_Otriple(X3),tc_bool)))).
% 1.11/0.59 cnf(i_0_687, 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))).
% 1.11/0.59 cnf(i_0_1085, 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)))).
% 1.11/0.59 cnf(i_0_1075, 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)))).
% 1.11/0.59 cnf(i_0_675, 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)))).
% 1.11/0.59 cnf(i_0_1088, 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)))).
% 1.11/0.59 cnf(i_0_817, 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))).
% 1.11/0.59 cnf(i_0_761, 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))).
% 1.11/0.59 cnf(i_0_858, 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))).
% 1.11/0.59 cnf(i_0_689, 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))).
% 1.11/0.59 cnf(i_0_873, 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))).
% 1.11/0.59 cnf(i_0_767, 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))).
% 1.11/0.59 cnf(i_0_826, 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)))).
% 1.11/0.59 cnf(i_0_1061, 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)))).
% 1.11/0.59 cnf(i_0_705, 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)))))).
% 1.11/0.59 cnf(i_0_899, 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))).
% 1.11/0.59 cnf(i_0_652, 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))).
% 1.11/0.59 cnf(i_0_901, 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))).
% 1.11/0.59 cnf(i_0_651, 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))).
% 1.11/0.59 cnf(i_0_977, 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))).
% 1.11/0.59 cnf(i_0_824, 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)))).
% 1.11/0.59 cnf(i_0_1038, 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)))).
% 1.11/0.59 cnf(i_0_919, 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)))).
% 1.11/0.59 cnf(i_0_978, 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))).
% 1.11/0.59 cnf(i_0_861, 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))).
% 1.11/0.59 cnf(i_0_886, 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))).
% 1.11/0.59 cnf(i_0_920, 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)))).
% 1.11/0.59 cnf(i_0_1073, 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)))).
% 1.11/0.59 cnf(i_0_1103, 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))).
% 1.11/0.59 cnf(i_0_673, 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))).
% 1.11/0.59 cnf(i_0_1097, 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))).
% 1.11/0.59 cnf(i_0_674, 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)))).
% 1.11/0.59 cnf(i_0_726, 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)))).
% 1.11/0.59 cnf(i_0_1093, 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))).
% 1.11/0.59 cnf(i_0_672, 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))).
% 1.11/0.59 cnf(i_0_1096, 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))).
% 1.11/0.59 cnf(i_0_968, 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))))).
% 1.11/0.59 cnf(i_0_1099, 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))).
% 1.11/0.59 cnf(i_0_924, 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)))).
% 1.11/0.59 cnf(i_0_1045, 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)))).
% 1.11/0.59 cnf(i_0_1101, 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))).
% 1.11/0.59 cnf(i_0_1130, plain, (c_lessequals(hAPP(X1,X2),hAPP(X3,X2),X4)|~class_HOL_Oord(X4)|~c_lessequals(X1,X3,tc_fun(X5,X4)))).
% 1.11/0.59 cnf(i_0_732, 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)))).
% 1.11/0.59 cnf(i_0_613, 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))).
% 1.11/0.59 cnf(i_0_616, 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))).
% 1.11/0.59 cnf(i_0_691, 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)))).
% 1.11/0.59 cnf(i_0_696, 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)))).
% 1.11/0.59 cnf(i_0_655, 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))).
% 1.11/0.59 cnf(i_0_802, 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))).
% 1.11/0.59 cnf(i_0_805, 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))).
% 1.11/0.59 cnf(i_0_1105, 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)))).
% 1.11/0.59 cnf(i_0_1106, 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)))).
% 1.11/0.59 cnf(i_0_834, 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)))).
% 1.11/0.59 cnf(i_0_656, 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))).
% 1.11/0.59 cnf(i_0_644, 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))).
% 1.11/0.59 cnf(i_0_645, 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))).
% 1.11/0.59 cnf(i_0_790, 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)))).
% 1.11/0.59 cnf(i_0_1091, 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))).
% 1.11/0.59 cnf(i_0_612, 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))).
% 1.11/0.59 cnf(i_0_1092, 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))).
% 1.11/0.59 cnf(i_0_910, 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)))).
% 1.11/0.59 cnf(i_0_1072, 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)))).
% 1.11/0.59 cnf(i_0_1069, 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)))).
% 1.11/0.59 cnf(i_0_1081, 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)))).
% 1.11/0.59 cnf(i_0_1078, 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)))).
% 1.11/0.59 cnf(i_0_1077, 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)))).
% 1.11/0.59 cnf(i_0_721, 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)))).
% 1.11/0.59 cnf(i_0_1018, 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))).
% 1.11/0.59 cnf(i_0_1015, 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))).
% 1.11/0.59 cnf(i_0_637, 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))).
% 1.11/0.59 cnf(i_0_825, 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)))).
% 1.11/0.59 cnf(i_0_649, 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))).
% 1.11/0.59 cnf(i_0_1021, 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))).
% 1.11/0.59 cnf(i_0_1058, 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)))).
% 1.11/0.59 cnf(i_0_914, 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)))).
% 1.11/0.59 cnf(i_0_1084, 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)))).
% 1.11/0.59 cnf(i_0_661, 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))).
% 1.11/0.59 cnf(i_0_752, 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))).
% 1.11/0.59 cnf(i_0_956, 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))).
% 1.11/0.59 cnf(i_0_954, 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))).
% 1.11/0.59 cnf(i_0_832, 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)))).
% 1.11/0.59 cnf(i_0_809, 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)))).
% 1.11/0.59 cnf(i_0_980, 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))).
% 1.11/0.59 cnf(i_0_749, 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)))).
% 1.11/0.59 cnf(i_0_957, 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))).
% 1.11/0.59 cnf(i_0_630, 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))).
% 1.11/0.59 cnf(i_0_1020, 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))).
% 1.11/0.59 cnf(i_0_830, 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))).
% 1.11/0.59 cnf(i_0_917, 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)))).
% 1.11/0.59 cnf(i_0_1007, 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)))).
% 1.11/0.59 cnf(i_0_906, 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)))).
% 1.11/0.59 cnf(i_0_1082, 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)))).
% 1.11/0.59 cnf(i_0_750, 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))).
% 1.11/0.59 cnf(i_0_595, 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)))).
% 1.11/0.59 cnf(i_0_973, 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))).
% 1.11/0.59 cnf(i_0_739, 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))).
% 1.11/0.59 cnf(i_0_972, 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))).
% 1.11/0.59 cnf(i_0_738, 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))).
% 1.11/0.59 cnf(i_0_594, 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)))).
% 1.11/0.59 cnf(i_0_1080, 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)))).
% 1.11/0.59 cnf(i_0_1079, 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)))).
% 1.11/0.59 cnf(i_0_707, 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)))).
% 1.11/0.59 cnf(i_0_614, 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))).
% 1.11/0.59 cnf(i_0_1095, 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))).
% 1.11/0.59 cnf(i_0_686, 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))).
% 1.11/0.59 cnf(i_0_660, 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))).
% 1.11/0.59 cnf(i_0_1098, 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))).
% 1.11/0.59 cnf(i_0_1035, 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)))).
% 1.11/0.59 cnf(i_0_615, 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))).
% 1.11/0.59 cnf(i_0_596, 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)))).
% 1.11/0.59 cnf(i_0_803, 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))).
% 1.11/0.59 cnf(i_0_804, 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))).
% 1.11/0.59 cnf(i_0_915, 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)))).
% 1.11/0.59 cnf(i_0_943, 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))).
% 1.11/0.59 cnf(i_0_928, 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)))).
% 1.11/0.59 cnf(i_0_918, 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)))).
% 1.11/0.59 cnf(i_0_828, plain, (c_Set_Oinsert(X1,c_SetInterval_Oord__class_OgreaterThan(X1,X2),X2)=c_SetInterval_Oord__class_OatLeast(X1,X2)|~class_Orderings_Olinorder(X2))).
% 1.11/0.59 cnf(i_0_1050, 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)))).
% 1.11/0.59 cnf(i_0_965, 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)))).
% 1.11/0.59 cnf(i_0_964, 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)))).
% 1.11/0.59 cnf(i_0_1000, 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))).
% 1.11/0.59 cnf(i_0_747, 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)))).
% 1.11/0.59 cnf(i_0_723, 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))).
% 1.11/0.59 cnf(i_0_1024, 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))).
% 1.11/0.59 cnf(i_0_1005, 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))).
% 1.11/0.59 cnf(i_0_904, 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)))).
% 1.11/0.59 cnf(i_0_664, 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)))).
% 1.11/0.59 cnf(i_0_724, 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)))).
% 1.11/0.59 cnf(i_0_905, 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)))).
% 1.11/0.59 cnf(i_0_663, 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))).
% 1.11/0.59 cnf(i_0_670, 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)))).
% 1.11/0.59 cnf(i_0_820, 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))).
% 1.11/0.59 cnf(i_0_808, 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))).
% 1.11/0.59 cnf(i_0_942, 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))).
% 1.11/0.59 cnf(i_0_941, 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))).
% 1.11/0.59 cnf(i_0_1076, 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)))).
% 1.11/0.59 cnf(i_0_791, 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)))).
% 1.11/0.59 cnf(i_0_785, 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)))).
% 1.11/0.59 cnf(i_0_1004, 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)))).
% 1.11/0.59 cnf(i_0_638, 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)))).
% 1.11/0.59 cnf(i_0_745, 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))).
% 1.11/0.59 cnf(i_0_746, 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)))).
% 1.11/0.59 cnf(i_0_827, 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))).
% 1.11/0.59 cnf(i_0_606, plain, (c_lessequals(c_Lattices_Oupper__semilattice__class_Osup(c_Lattices_Olower__semilattice__class_Oinf(X1,X2,X3),c_Lattices_Olower__semilattice__class_Oinf(X1,X4,X3),X3),c_Lattices_Olower__semilattice__class_Oinf(X1,c_Lattices_Oupper__semilattice__class_Osup(X2,X4,X3),X3),X3)|~class_Lattices_Olattice(X3))).
% 1.11/0.59 cnf(i_0_754, 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)))).
% 1.11/0.59 cnf(i_0_903, 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)))).
% 1.11/0.59 cnf(i_0_753, 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)))).
% 1.11/0.59 # End listing active clauses. There is an equivalent clause to each of these in the clausification!
% 1.11/0.59 # Begin printing tableau
% 1.11/0.59 # Found 6 steps
% 1.11/0.59 cnf(i_0_1134, negated_conjecture, (c_Hoare__Mirabelle_Otriple__valid(v_x,v_xa,t_a)|~hBOOL(hAPP(hAPP(c_in(tc_Hoare__Mirabelle_Otriple(t_a)),v_xa),v_Ga))), inference(start_rule)).
% 1.11/0.59 cnf(i_0_1174, plain, (c_Hoare__Mirabelle_Otriple__valid(v_x,v_xa,t_a)), inference(closure_rule, [i_0_1133])).
% 1.11/0.59 cnf(i_0_1175, plain, (~hBOOL(hAPP(hAPP(c_in(tc_Hoare__Mirabelle_Otriple(t_a)),v_xa),v_Ga))), inference(extension_rule, [i_0_905])).
% 1.11/0.59 cnf(i_0_2038, plain, (c_HOL_Oord__class_Oless(c_Set_Oinsert(v_xa,v_Ga,tc_Hoare__Mirabelle_Otriple(t_a)),c_Set_Oinsert(v_xa,v_Ga,tc_Hoare__Mirabelle_Otriple(t_a)),tc_fun(tc_Hoare__Mirabelle_Otriple(t_a),tc_bool))), inference(closure_rule, [i_0_932])).
% 1.11/0.59 cnf(i_0_2040, plain, (~c_lessequals(c_Set_Oinsert(v_xa,v_Ga,tc_Hoare__Mirabelle_Otriple(t_a)),v_Ga,tc_fun(tc_Hoare__Mirabelle_Otriple(t_a),tc_bool))), inference(extension_rule, [i_0_1034])).
% 1.11/0.59 cnf(i_0_2171, plain, (~c_HOL_Oord__class_Oless(c_Set_Oinsert(v_xa,v_Ga,tc_Hoare__Mirabelle_Otriple(t_a)),v_Ga,tc_fun(tc_Hoare__Mirabelle_Otriple(t_a),tc_bool))), inference(etableau_closure_rule, [i_0_2171, ...])).
% 1.11/0.59 # End printing tableau
% 1.11/0.59 # SZS output end
% 1.11/0.59 # Branches closed with saturation will be marked with an "s"
% 1.11/0.60 # Child (29982) has found a proof.
% 1.11/0.60
% 1.11/0.60 # Proof search is over...
% 1.11/0.60 # Freeing feature tree
%------------------------------------------------------------------------------