TSTP Solution File: SWV580-1 by Etableau---0.67
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- Process Solution
%------------------------------------------------------------------------------
% File : Etableau---0.67
% Problem : SWV580-1 : 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 : n021.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 18:22:45 EDT 2022
% Result : Unsatisfiable 0.19s 0.51s
% Output : CNFRefutation 0.19s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.10/0.12 % Problem : SWV580-1 : TPTP v8.1.0. Released v4.1.0.
% 0.10/0.13 % Command : etableau --auto --tsmdo --quicksat=10000 --tableau=1 --tableau-saturation=1 -s -p --tableau-cores=8 --cpu-limit=%d %s
% 0.13/0.34 % Computer : n021.cluster.edu
% 0.13/0.34 % Model : x86_64 x86_64
% 0.13/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.34 % Memory : 8042.1875MB
% 0.13/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.34 % CPULimit : 300
% 0.13/0.34 % WCLimit : 600
% 0.13/0.34 % DateTime : Wed Jun 15 12:44:14 EDT 2022
% 0.13/0.34 % CPUTime :
% 0.19/0.44 # No SInE strategy applied
% 0.19/0.44 # Auto-Mode selected heuristic G_E___207_C18_F1_SE_CS_SP_PI_PS_S5PRR_RG_S0Y
% 0.19/0.44 # and selection function SelectMaxLComplexAvoidPosPred.
% 0.19/0.44 #
% 0.19/0.44 # Presaturation interreduction done
% 0.19/0.44 # Number of axioms: 598 Number of unprocessed: 491
% 0.19/0.44 # Tableaux proof search.
% 0.19/0.44 # APR header successfully linked.
% 0.19/0.44 # Hello from C++
% 0.19/0.45 # The folding up rule is enabled...
% 0.19/0.45 # Local unification is enabled...
% 0.19/0.45 # Any saturation attempts will use folding labels...
% 0.19/0.45 # 491 beginning clauses after preprocessing and clausification
% 0.19/0.45 # Creating start rules for all 2 conjectures.
% 0.19/0.45 # There are 2 start rule candidates:
% 0.19/0.45 # Found 120 unit axioms.
% 0.19/0.45 # Unsuccessfully attempted saturation on 1 start tableaux, moving on.
% 0.19/0.45 # 2 start rule tableaux created.
% 0.19/0.45 # 371 extension rule candidate clauses
% 0.19/0.45 # 120 unit axiom clauses
% 0.19/0.45
% 0.19/0.45 # Requested 8, 32 cores available to the main process.
% 0.19/0.45 # There are not enough tableaux to fork, creating more from the initial 2
% 0.19/0.45 # Returning from population with 29 new_tableaux and 0 remaining starting tableaux.
% 0.19/0.45 # We now have 29 tableaux to operate on
% 0.19/0.51 # There were 1 total branch saturation attempts.
% 0.19/0.51 # There were 0 of these attempts blocked.
% 0.19/0.51 # There were 0 deferred branch saturation attempts.
% 0.19/0.51 # There were 0 free duplicated saturations.
% 0.19/0.51 # There were 1 total successful branch saturations.
% 0.19/0.51 # There were 0 successful branch saturations in interreduction.
% 0.19/0.51 # There were 0 successful branch saturations on the branch.
% 0.19/0.51 # There were 1 successful branch saturations after the branch.
% 0.19/0.51 # SZS status Unsatisfiable for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.19/0.51 # SZS output start for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.19/0.51 # Begin clausification derivation
% 0.19/0.51
% 0.19/0.51 # End clausification derivation
% 0.19/0.51 # Begin listing active clauses obtained from FOF to CNF conversion
% 0.19/0.51 cnf(i_0_1154, negated_conjecture, (class_OrderedGroup_Ocomm__monoid__add(t_a))).
% 0.19/0.51 cnf(i_0_1178, plain, (class_OrderedGroup_Ocomm__monoid__add(tc_nat))).
% 0.19/0.51 cnf(i_0_1172, plain, (class_OrderedGroup_Opordered__comm__monoid__add(tc_nat))).
% 0.19/0.51 cnf(i_0_1196, plain, (class_Lattices_Olattice(tc_bool))).
% 0.19/0.51 cnf(i_0_1185, plain, (class_Lattices_Olattice(tc_nat))).
% 0.19/0.51 cnf(i_0_1192, plain, (class_Lattices_Olower__semilattice(tc_bool))).
% 0.19/0.51 cnf(i_0_1180, plain, (class_Lattices_Olower__semilattice(tc_nat))).
% 0.19/0.51 cnf(i_0_1197, plain, (class_Orderings_Oorder(tc_bool))).
% 0.19/0.51 cnf(i_0_1186, plain, (class_Orderings_Oorder(tc_nat))).
% 0.19/0.51 cnf(i_0_1184, plain, (class_Orderings_Olinorder(tc_nat))).
% 0.19/0.51 cnf(i_0_1171, plain, (class_OrderedGroup_Opordered__ab__semigroup__add(tc_nat))).
% 0.19/0.51 cnf(i_0_1170, plain, (class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(tc_nat))).
% 0.19/0.51 cnf(i_0_1190, plain, (class_Complete__Lattice_Ocomplete__lattice(tc_bool))).
% 0.19/0.51 cnf(i_0_1195, plain, (class_Orderings_Opreorder(tc_bool))).
% 0.19/0.51 cnf(i_0_1183, plain, (class_Orderings_Opreorder(tc_nat))).
% 0.19/0.51 cnf(i_0_1176, plain, (class_Ring__and__Field_Ocomm__semiring__1(tc_nat))).
% 0.19/0.51 cnf(i_0_1177, plain, (class_OrderedGroup_Oab__semigroup__add(tc_nat))).
% 0.19/0.51 cnf(i_0_1182, plain, (class_OrderedGroup_Omonoid__add(tc_nat))).
% 0.19/0.51 cnf(i_0_1169, plain, (class_OrderedGroup_Opordered__cancel__ab__semigroup__add(tc_nat))).
% 0.19/0.51 cnf(i_0_1200, plain, (class_HOL_Oord(tc_bool))).
% 0.19/0.51 cnf(i_0_1189, plain, (class_HOL_Oord(tc_nat))).
% 0.19/0.51 cnf(i_0_1194, plain, (class_Lattices_Obounded__lattice(tc_bool))).
% 0.19/0.51 cnf(i_0_1198, plain, (class_Orderings_Obot(tc_bool))).
% 0.19/0.51 cnf(i_0_1187, plain, (class_Orderings_Obot(tc_nat))).
% 0.19/0.51 cnf(i_0_1175, plain, (class_Ring__and__Field_Oordered__semidom(tc_nat))).
% 0.19/0.51 cnf(i_0_1199, plain, (class_HOL_Ominus(tc_bool))).
% 0.19/0.51 cnf(i_0_1188, plain, (class_HOL_Ominus(tc_nat))).
% 0.19/0.51 cnf(i_0_1173, plain, (class_OrderedGroup_Ocancel__ab__semigroup__add(tc_nat))).
% 0.19/0.51 cnf(i_0_1174, plain, (class_OrderedGroup_Ocancel__semigroup__add(tc_nat))).
% 0.19/0.51 cnf(i_0_1191, plain, (class_Lattices_Oupper__semilattice(tc_bool))).
% 0.19/0.51 cnf(i_0_1179, plain, (class_Lattices_Oupper__semilattice(tc_nat))).
% 0.19/0.51 cnf(i_0_1193, plain, (class_Lattices_Odistrib__lattice(tc_bool))).
% 0.19/0.51 cnf(i_0_1181, plain, (class_Lattices_Odistrib__lattice(tc_nat))).
% 0.19/0.51 cnf(i_0_1100, plain, (c_HOL_Oord__class_Oless(v_m,v_n,tc_nat))).
% 0.19/0.51 cnf(i_0_995, plain, (c_GCD_Ogcd__class_OGCD(c_Orderings_Obot__class_Obot(tc_fun(tc_nat,tc_bool)),tc_nat)=c_HOL_Ozero__class_Ozero(tc_nat))).
% 0.19/0.51 cnf(i_0_1099, plain, (c_SetInterval_Oord__class_OatLeastLessThan(X1,c_HOL_Ozero__class_Ozero(tc_nat),tc_nat)=c_Orderings_Obot__class_Obot(tc_fun(tc_nat,tc_bool)))).
% 0.19/0.51 cnf(i_0_648, plain, (c_HOL_Oord__class_Oless(X1,c_Suc(X1),tc_nat))).
% 0.19/0.51 cnf(i_0_1101, plain, (c_GCD_Ogcd__class_OGCD(c_Set_Oinsert(X1,c_Orderings_Obot__class_Obot(tc_fun(tc_nat,tc_bool)),tc_nat),tc_nat)=X1)).
% 0.19/0.51 cnf(i_0_1102, plain, (c_GCD_Ogcd__class_OLCM(c_Set_Oinsert(X1,c_Orderings_Obot__class_Obot(tc_fun(tc_nat,tc_bool)),tc_nat),tc_nat)=X1)).
% 0.19/0.51 cnf(i_0_1132, plain, (c_Lattices_Oupper__semilattice__class_Osup(X1,X1,tc_fun(X2,tc_bool))=X1)).
% 0.19/0.51 cnf(i_0_699, plain, (c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),c_Suc(X1),tc_nat))).
% 0.19/0.51 cnf(i_0_1023, plain, (c_lessequals(X1,X1,tc_fun(X2,tc_bool)))).
% 0.19/0.51 cnf(i_0_994, plain, (c_in(v_x,c_Orderings_Obot__class_Obot(tc_fun(t_a,tc_bool)),t_a)=hAPP(c_Orderings_Obot__class_Obot(tc_fun(t_a,tc_bool)),v_x))).
% 0.19/0.51 cnf(i_0_1009, plain, (c_Lattices_Olower__semilattice__class_Oinf(X1,X1,tc_fun(X2,tc_bool))=X1)).
% 0.19/0.51 cnf(i_0_1126, plain, (c_Lattices_Oupper__semilattice__class_Osup(X1,c_Orderings_Obot__class_Obot(tc_fun(X2,tc_bool)),tc_fun(X2,tc_bool))=X1)).
% 0.19/0.51 cnf(i_0_1125, plain, (c_Lattices_Oupper__semilattice__class_Osup(c_Orderings_Obot__class_Obot(tc_fun(X1,tc_bool)),X2,tc_fun(X1,tc_bool))=X2)).
% 0.19/0.51 cnf(i_0_1107, plain, (c_SetInterval_Oord__class_OatLeastLessThan(X1,c_Suc(X1),tc_nat)=c_Set_Oinsert(X1,c_Orderings_Obot__class_Obot(tc_fun(tc_nat,tc_bool)),tc_nat))).
% 0.19/0.51 cnf(i_0_871, plain, (c_lessequals(c_Orderings_Obot__class_Obot(tc_fun(X1,tc_bool)),X2,tc_fun(X1,tc_bool)))).
% 0.19/0.51 cnf(i_0_1103, plain, (c_SetInterval_Oord__class_OatLeastLessThan(c_Suc(X1),X2,tc_nat)=c_SetInterval_Oord__class_OgreaterThanLessThan(X1,X2,tc_nat))).
% 0.19/0.51 cnf(i_0_868, plain, (c_HOL_Ominus__class_Ominus(X1,X1,tc_fun(X2,tc_bool))=c_Orderings_Obot__class_Obot(tc_fun(X2,tc_bool)))).
% 0.19/0.51 cnf(i_0_1110, plain, (hBOOL(hAPP(c_Set_Oinsert(X1,X2,X3),X1)))).
% 0.19/0.51 cnf(i_0_867, plain, (c_HOL_Ominus__class_Ominus(X1,c_Orderings_Obot__class_Obot(tc_fun(X2,tc_bool)),tc_fun(X2,tc_bool))=X1)).
% 0.19/0.51 cnf(i_0_870, 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)))).
% 0.19/0.51 cnf(i_0_866, plain, (c_HOL_Ominus__class_Ominus(c_Orderings_Obot__class_Obot(tc_fun(X1,tc_bool)),X2,tc_fun(X1,tc_bool))=c_Orderings_Obot__class_Obot(tc_fun(X1,tc_bool)))).
% 0.19/0.51 cnf(i_0_869, 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)))).
% 0.19/0.51 cnf(i_0_781, plain, (c_The(c_Set_Oinsert(X1,c_Orderings_Obot__class_Obot(tc_fun(X2,tc_bool)),X2),X2)=X1)).
% 0.19/0.51 cnf(i_0_1077, plain, (c_Set_Ocontents(c_Set_Oinsert(X1,c_Orderings_Obot__class_Obot(tc_fun(X2,tc_bool)),X2),X2)=X1)).
% 0.19/0.51 cnf(i_0_859, plain, (c_Set_Ovimage(X1,c_Orderings_Obot__class_Obot(tc_fun(X2,tc_bool)),X3,X2)=c_Orderings_Obot__class_Obot(tc_fun(X3,tc_bool)))).
% 0.19/0.51 cnf(i_0_887, plain, (c_lessequals(X1,c_Set_Oinsert(X2,X1,X3),tc_fun(X3,tc_bool)))).
% 0.19/0.51 cnf(i_0_888, plain, (hBOOL(c_in(X1,c_Set_Oinsert(X1,X2,X3),X3)))).
% 0.19/0.51 cnf(i_0_931, plain, (c_lessequals(X1,c_Lattices_Oupper__semilattice__class_Osup(X2,X1,tc_fun(X3,tc_bool)),tc_fun(X3,tc_bool)))).
% 0.19/0.51 cnf(i_0_930, plain, (c_lessequals(X1,c_Lattices_Oupper__semilattice__class_Osup(X1,X2,tc_fun(X3,tc_bool)),tc_fun(X3,tc_bool)))).
% 0.19/0.51 cnf(i_0_1113, plain, (c_Set_Oinsert(X1,c_Set_Oinsert(X1,X2,X3),X3)=c_Set_Oinsert(X1,X2,X3))).
% 0.19/0.51 cnf(i_0_705, plain, (c_lessequals(c_HOL_Ominus__class_Ominus(X1,X2,tc_fun(X3,tc_bool)),X1,tc_fun(X3,tc_bool)))).
% 0.19/0.51 cnf(i_0_761, plain, (c_lessequals(c_Lattices_Olower__semilattice__class_Oinf(X1,X2,tc_fun(X3,tc_bool)),X2,tc_fun(X3,tc_bool)))).
% 0.19/0.51 cnf(i_0_762, plain, (c_lessequals(c_Lattices_Olower__semilattice__class_Oinf(X1,X2,tc_fun(X3,tc_bool)),X1,tc_fun(X3,tc_bool)))).
% 0.19/0.51 cnf(i_0_1151, plain, (c_Lattices_Oupper__semilattice__class_Osup(X1,c_Lattices_Oupper__semilattice__class_Osup(X1,X2,tc_fun(X3,tc_bool)),tc_fun(X3,tc_bool))=c_Lattices_Oupper__semilattice__class_Osup(X1,X2,tc_fun(X3,tc_bool)))).
% 0.19/0.51 cnf(i_0_732, 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)))).
% 0.19/0.51 cnf(i_0_1084, 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)).
% 0.19/0.51 cnf(i_0_1083, 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)).
% 0.19/0.51 cnf(i_0_933, plain, (c_Lattices_Oupper__semilattice__class_Osup(X1,c_HOL_Ominus__class_Ominus(X2,X1,tc_fun(X3,tc_bool)),tc_fun(X3,tc_bool))=c_Lattices_Oupper__semilattice__class_Osup(X1,X2,tc_fun(X3,tc_bool)))).
% 0.19/0.51 cnf(i_0_1079, plain, (c_The(c_Finite__Set_Ofold1Set(X1,c_Set_Oinsert(X2,c_Orderings_Obot__class_Obot(tc_fun(X3,tc_bool)),X3),X3),X3)=X2)).
% 0.19/0.51 cnf(i_0_1115, 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)))).
% 0.19/0.51 cnf(i_0_1114, 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)))).
% 0.19/0.51 cnf(i_0_1062, plain, (hBOOL(hAPP(c_Finite__Set_Ofold1Set(X1,c_Set_Oinsert(X2,c_Orderings_Obot__class_Obot(tc_fun(X3,tc_bool)),X3),X3),X2)))).
% 0.19/0.51 cnf(i_0_1136, plain, (c_Lattices_Oupper__semilattice__class_Osup(c_Lattices_Oupper__semilattice__class_Osup(X1,X2,tc_fun(X3,tc_bool)),X4,tc_fun(X3,tc_bool))=c_Lattices_Oupper__semilattice__class_Osup(X1,c_Lattices_Oupper__semilattice__class_Osup(X2,X4,tc_fun(X3,tc_bool)),tc_fun(X3,tc_bool)))).
% 0.19/0.51 cnf(i_0_840, 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)).
% 0.19/0.51 cnf(i_0_1004, 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)))).
% 0.19/0.51 cnf(i_0_1061, 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))).
% 0.19/0.51 cnf(i_0_837, plain, (c_HOL_Ominus__class_Ominus(c_HOL_Ominus__class_Ominus(X1,X2,tc_fun(X3,tc_bool)),X2,tc_fun(X3,tc_bool))=c_HOL_Ominus__class_Ominus(X1,X2,tc_fun(X3,tc_bool)))).
% 0.19/0.51 cnf(i_0_646, 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)).
% 0.19/0.51 cnf(i_0_1067, plain, (c_Set_Oinsert(X1,c_HOL_Ominus__class_Ominus(X2,c_Set_Oinsert(X1,c_Orderings_Obot__class_Obot(tc_fun(X3,tc_bool)),X3),tc_fun(X3,tc_bool)),X3)=c_Set_Oinsert(X1,X2,X3))).
% 0.19/0.51 cnf(i_0_1060, plain, (hBOOL(hAPP(c_Set_Oinsert(X1,c_Orderings_Obot__class_Obot(tc_fun(X2,tc_bool)),X2),c_Nitpick_Osko__Nitpick__XEx1__def__1__3(c_Set_Oinsert(X1,c_Orderings_Obot__class_Obot(tc_fun(X2,tc_bool)),X2),X2))))).
% 0.19/0.51 cnf(i_0_777, 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)))).
% 0.19/0.51 cnf(i_0_621, 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)))).
% 0.19/0.51 cnf(i_0_882, 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))).
% 0.19/0.51 cnf(i_0_874, plain, (hBOOL(c_in(X1,c_Set_Ovimage(X2,c_Set_Oinsert(hAPP(X2,X1),c_Orderings_Obot__class_Obot(tc_fun(X3,tc_bool)),X3),X4,X3),X4)))).
% 0.19/0.51 cnf(i_0_942, 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)))).
% 0.19/0.51 cnf(i_0_943, 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)))).
% 0.19/0.51 cnf(i_0_1075, 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)))).
% 0.19/0.51 cnf(i_0_1076, 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)))).
% 0.19/0.51 cnf(i_0_945, 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)))).
% 0.19/0.51 cnf(i_0_935, 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)))).
% 0.19/0.51 cnf(i_0_946, 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)))).
% 0.19/0.51 cnf(i_0_936, 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))).
% 0.19/0.51 cnf(i_0_1042, 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)))).
% 0.19/0.51 cnf(i_0_628, 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)))).
% 0.19/0.51 cnf(i_0_955, 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))).
% 0.19/0.51 cnf(i_0_977, 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)))).
% 0.19/0.51 cnf(i_0_937, 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)))).
% 0.19/0.51 cnf(i_0_799, 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))).
% 0.19/0.51 cnf(i_0_947, plain, (c_Lattices_Oupper__semilattice__class_Osup(c_Lattices_Olower__semilattice__class_Oinf(X1,X2,tc_fun(X3,tc_bool)),c_Lattices_Oupper__semilattice__class_Osup(c_Lattices_Olower__semilattice__class_Oinf(X2,X4,tc_fun(X3,tc_bool)),c_Lattices_Olower__semilattice__class_Oinf(X4,X1,tc_fun(X3,tc_bool)),tc_fun(X3,tc_bool)),tc_fun(X3,tc_bool))=c_Lattices_Olower__semilattice__class_Oinf(c_Lattices_Oupper__semilattice__class_Osup(X1,X2,tc_fun(X3,tc_bool)),c_Lattices_Olower__semilattice__class_Oinf(c_Lattices_Oupper__semilattice__class_Osup(X2,X4,tc_fun(X3,tc_bool)),c_Lattices_Oupper__semilattice__class_Osup(X4,X1,tc_fun(X3,tc_bool)),tc_fun(X3,tc_bool)),tc_fun(X3,tc_bool)))).
% 0.19/0.51 cnf(i_0_1109, plain, (c_HOL_Oplus__class_Oplus(hAPP(v_f,v_m),c_Finite__Set_Osetsum(v_f,c_SetInterval_Oord__class_OgreaterThanLessThan(v_m,v_n,tc_nat),tc_nat,t_a),t_a)=c_Finite__Set_Osetsum(v_f,c_Set_Oinsert(v_m,c_SetInterval_Oord__class_OgreaterThanLessThan(v_m,v_n,tc_nat),tc_nat),tc_nat,t_a))).
% 0.19/0.51 cnf(i_0_627, 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)))).
% 0.19/0.51 cnf(i_0_774, 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)))).
% 0.19/0.51 cnf(i_0_1147, plain, (c_Lattices_Oupper__semilattice__class_Osup(X1,X2,tc_fun(X3,tc_bool))=c_Lattices_Oupper__semilattice__class_Osup(X2,X1,tc_fun(X3,tc_bool)))).
% 0.19/0.51 cnf(i_0_702, 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)))).
% 0.19/0.51 cnf(i_0_1133, plain, (c_Set_Oinsert(X1,c_Set_Oinsert(X2,X3,X4),X4)=c_Set_Oinsert(X2,c_Set_Oinsert(X1,X3,X4),X4))).
% 0.19/0.51 cnf(i_0_1137, plain, (c_Lattices_Oupper__semilattice__class_Osup(X1,c_Lattices_Oupper__semilattice__class_Osup(X2,X3,tc_fun(X4,tc_bool)),tc_fun(X4,tc_bool))=c_Lattices_Oupper__semilattice__class_Osup(X2,c_Lattices_Oupper__semilattice__class_Osup(X1,X3,tc_fun(X4,tc_bool)),tc_fun(X4,tc_bool)))).
% 0.19/0.51 cnf(i_0_620, 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)))).
% 0.19/0.51 cnf(i_0_1093, 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)))).
% 0.19/0.51 cnf(i_0_770, plain, (c_Suc(X1)!=X1)).
% 0.19/0.51 cnf(i_0_990, plain, (c_Suc(X1)!=c_HOL_Ozero__class_Ozero(tc_nat))).
% 0.19/0.51 cnf(i_0_980, plain, (~c_HOL_Oord__class_Oless(X1,X1,tc_nat))).
% 0.19/0.51 cnf(i_0_843, plain, (~c_HOL_Oord__class_Oless(X1,c_HOL_Ozero__class_Ozero(tc_nat),tc_nat))).
% 0.19/0.51 cnf(i_0_1130, plain, (c_Set_Oinsert(X1,X2,X3)!=c_Orderings_Obot__class_Obot(tc_fun(X3,tc_bool)))).
% 0.19/0.51 cnf(i_0_1122, plain, (~hBOOL(hAPP(c_Orderings_Obot__class_Obot(tc_fun(X1,tc_bool)),X2)))).
% 0.19/0.51 cnf(i_0_860, plain, (~hBOOL(c_in(X1,c_Orderings_Obot__class_Obot(tc_fun(X2,tc_bool)),X2)))).
% 0.19/0.51 cnf(i_0_865, plain, (~hBOOL(hAPP(c_Finite__Set_Ofold1Set(X1,c_Orderings_Obot__class_Obot(tc_fun(X2,tc_bool)),X2),X3)))).
% 0.19/0.51 cnf(i_0_1155, negated_conjecture, (c_Finite__Set_Osetsum(v_f,c_Set_Oinsert(v_m,c_SetInterval_Oord__class_OgreaterThanLessThan(v_m,v_n,tc_nat),tc_nat),tc_nat,t_a)!=c_Finite__Set_Osetsum(v_f,c_SetInterval_Oord__class_OatLeastLessThan(v_m,v_n,tc_nat),tc_nat,t_a))).
% 0.19/0.51 cnf(i_0_1156, plain, (class_OrderedGroup_Oab__semigroup__add(X1)|~class_OrderedGroup_Ocomm__monoid__add(X1))).
% 0.19/0.51 cnf(i_0_1157, plain, (class_OrderedGroup_Omonoid__add(X1)|~class_OrderedGroup_Ocomm__monoid__add(X1))).
% 0.19/0.51 cnf(i_0_979, plain, (~class_Orderings_Oorder(X1)|~c_HOL_Oord__class_Oless(X2,X2,X1))).
% 0.19/0.51 cnf(i_0_978, plain, (~class_Orderings_Olinorder(X1)|~c_HOL_Oord__class_Oless(X2,X2,X1))).
% 0.19/0.51 cnf(i_0_982, plain, (~class_Orderings_Opreorder(X1)|~c_HOL_Oord__class_Oless(X2,X2,X1))).
% 0.19/0.51 cnf(i_0_968, plain, (X1=X2|c_Suc(X1)!=c_Suc(X2))).
% 0.19/0.51 cnf(i_0_805, plain, (~c_HOL_Oord__class_Oless(X1,c_Suc(X2),tc_nat)|~c_HOL_Oord__class_Oless(X2,X1,tc_nat))).
% 0.19/0.51 cnf(i_0_1055, plain, (hAPP(c_Orderings_Obot__class_Obot(tc_fun(t_a,X1)),v_x)=c_Orderings_Obot__class_Obot(X1)|~class_Orderings_Obot(X1))).
% 0.19/0.51 cnf(i_0_1164, plain, (class_Lattices_Olattice(tc_fun(X1,X2))|~class_Lattices_Olattice(X2))).
% 0.19/0.51 cnf(i_0_1160, plain, (class_Lattices_Olower__semilattice(tc_fun(X1,X2))|~class_Lattices_Olattice(X2))).
% 0.19/0.51 cnf(i_0_1165, plain, (class_Orderings_Oorder(tc_fun(X1,X2))|~class_Orderings_Oorder(X2))).
% 0.19/0.51 cnf(i_0_685, plain, (~class_Orderings_Olinorder(X1)|~c_HOL_Oord__class_Oless(X2,X3,X1)|~c_lessequals(X3,X2,X1))).
% 0.19/0.51 cnf(i_0_681, plain, (~class_Orderings_Opreorder(X1)|~c_HOL_Oord__class_Oless(X2,X3,X1)|~c_lessequals(X3,X2,X1))).
% 0.19/0.51 cnf(i_0_1158, plain, (class_Complete__Lattice_Ocomplete__lattice(tc_fun(X1,X2))|~class_Complete__Lattice_Ocomplete__lattice(X2))).
% 0.19/0.51 cnf(i_0_1163, plain, (class_Orderings_Opreorder(tc_fun(X1,X2))|~class_Orderings_Opreorder(X2))).
% 0.19/0.51 cnf(i_0_1168, plain, (class_HOL_Oord(tc_fun(X1,X2))|~class_HOL_Oord(X2))).
% 0.19/0.51 cnf(i_0_1162, plain, (class_Lattices_Obounded__lattice(tc_fun(X1,X2))|~class_Lattices_Obounded__lattice(X2))).
% 0.19/0.51 cnf(i_0_1166, plain, (class_Orderings_Obot(tc_fun(X1,X2))|~class_Orderings_Obot(X2))).
% 0.19/0.51 cnf(i_0_1167, plain, (class_HOL_Ominus(tc_fun(X1,X2))|~class_HOL_Ominus(X2))).
% 0.19/0.51 cnf(i_0_1159, plain, (class_Lattices_Oupper__semilattice(tc_fun(X1,X2))|~class_Lattices_Olattice(X2))).
% 0.19/0.51 cnf(i_0_1161, plain, (class_Lattices_Odistrib__lattice(tc_fun(X1,X2))|~class_Lattices_Odistrib__lattice(X2))).
% 0.19/0.51 cnf(i_0_661, plain, (X1=c_HOL_Ozero__class_Ozero(tc_nat)|~c_HOL_Oord__class_Oless(X1,c_Suc(c_HOL_Ozero__class_Ozero(tc_nat)),tc_nat))).
% 0.19/0.51 cnf(i_0_1000, plain, (X1=c_HOL_Ozero__class_Ozero(tc_nat)|c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),X1,tc_nat))).
% 0.19/0.51 cnf(i_0_1020, plain, (c_lessequals(X1,X1,X2)|~class_Orderings_Oorder(X2))).
% 0.19/0.51 cnf(i_0_1019, plain, (c_lessequals(X1,X1,X2)|~class_Orderings_Opreorder(X2))).
% 0.19/0.51 cnf(i_0_1052, plain, (~class_Orderings_Oorder(X1)|~c_HOL_Oord__class_Oless(X2,X3,X1)|~c_HOL_Oord__class_Oless(X3,X2,X1))).
% 0.19/0.51 cnf(i_0_1051, plain, (~class_Orderings_Olinorder(X1)|~c_HOL_Oord__class_Oless(X2,X3,X1)|~c_HOL_Oord__class_Oless(X3,X2,X1))).
% 0.19/0.51 cnf(i_0_1010, plain, (c_Lattices_Olower__semilattice__class_Oinf(X1,X1,X2)=X1|~class_Lattices_Olower__semilattice(X2))).
% 0.19/0.51 cnf(i_0_1048, plain, (~class_Orderings_Opreorder(X1)|~c_HOL_Oord__class_Oless(X2,X3,X1)|~c_HOL_Oord__class_Oless(X3,X2,X1))).
% 0.19/0.51 cnf(i_0_780, plain, (c_HOL_Oord__class_Oless(X1,X2,tc_nat)|~c_HOL_Oord__class_Oless(c_Suc(X1),X2,tc_nat))).
% 0.19/0.51 cnf(i_0_1131, plain, (c_Lattices_Oupper__semilattice__class_Osup(X1,X1,X2)=X1|~class_Lattices_Oupper__semilattice(X2))).
% 0.19/0.51 cnf(i_0_864, plain, (X1=c_Orderings_Obot__class_Obot(tc_fun(X2,tc_bool))|~c_lessequals(X1,c_Orderings_Obot__class_Obot(tc_fun(X2,tc_bool)),tc_fun(X2,tc_bool)))).
% 0.19/0.51 cnf(i_0_1145, 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)))).
% 0.19/0.51 cnf(i_0_1144, 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)))).
% 0.19/0.51 cnf(i_0_606, plain, (c_HOL_Ominus__class_Ominus(X1,X1,X2)=c_HOL_Ozero__class_Ozero(X2)|~class_OrderedGroup_Ogroup__add(X2))).
% 0.19/0.51 cnf(i_0_711, plain, (hBOOL(hAPP(X1,X2))|~hBOOL(c_in(X2,X1,X3)))).
% 0.19/0.51 cnf(i_0_775, plain, (c_SetInterval_Oord__class_OatLeastAtMost(X1,X2,X3)!=c_Orderings_Obot__class_Obot(tc_fun(X3,tc_bool))|~class_Orderings_Oorder(X3)|~c_lessequals(X1,X2,X3))).
% 0.19/0.51 cnf(i_0_660, plain, (c_SetInterval_Oord__class_OgreaterThanAtMost(X1,X2,X3)!=c_Orderings_Obot__class_Obot(tc_fun(X3,tc_bool))|~class_Orderings_Oorder(X3)|~c_HOL_Oord__class_Oless(X1,X2,X3))).
% 0.19/0.51 cnf(i_0_1056, 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))).
% 0.19/0.51 cnf(i_0_1123, plain, (c_Lattices_Oupper__semilattice__class_Osup(X1,c_Orderings_Obot__class_Obot(X2),X2)=X1|~class_Lattices_Obounded__lattice(X2))).
% 0.19/0.51 cnf(i_0_1124, plain, (c_Lattices_Oupper__semilattice__class_Osup(c_Orderings_Obot__class_Obot(X1),X2,X1)=X2|~class_Lattices_Obounded__lattice(X1))).
% 0.19/0.51 cnf(i_0_1088, plain, (c_SetInterval_Oord__class_OatLeastLessThan(X1,X2,X3)!=c_Orderings_Obot__class_Obot(tc_fun(X3,tc_bool))|~class_Orderings_Oorder(X3)|~c_HOL_Oord__class_Oless(X1,X2,X3))).
% 0.19/0.51 cnf(i_0_752, plain, (c_lessequals(c_Orderings_Obot__class_Obot(X1),X2,X1)|~class_Orderings_Obot(X1))).
% 0.19/0.51 cnf(i_0_927, plain, (c_lessequals(X1,X2,tc_fun(X3,tc_bool))|c_Lattices_Oupper__semilattice__class_Osup(X1,X2,tc_fun(X3,tc_bool))!=X2)).
% 0.19/0.51 cnf(i_0_609, plain, (c_HOL_Ominus__class_Ominus(X1,X1,X2)=c_HOL_Ozero__class_Ozero(X2)|~class_OrderedGroup_Oab__group__add(X2))).
% 0.19/0.51 cnf(i_0_806, plain, (c_HOL_Oord__class_Oless(X1,c_Suc(X2),tc_nat)|c_HOL_Oord__class_Oless(X2,X1,tc_nat))).
% 0.19/0.51 cnf(i_0_708, plain, (X1=X2|c_HOL_Ominus__class_Ominus(X1,X2,X3)!=c_HOL_Ozero__class_Ozero(X3)|~class_OrderedGroup_Ogroup__add(X3))).
% 0.19/0.51 cnf(i_0_707, plain, (X1=X2|c_HOL_Ominus__class_Ominus(X1,X2,X3)!=c_HOL_Ozero__class_Ozero(X3)|~class_OrderedGroup_Oab__group__add(X3))).
% 0.19/0.51 cnf(i_0_988, plain, (c_lessequals(X1,X2,X3)|~class_Orderings_Oorder(X3)|~c_HOL_Oord__class_Oless(X1,X2,X3))).
% 0.19/0.51 cnf(i_0_989, plain, (c_lessequals(X1,X2,X3)|~class_Orderings_Opreorder(X3)|~c_HOL_Oord__class_Oless(X1,X2,X3))).
% 0.19/0.51 cnf(i_0_747, plain, (c_HOL_Oord__class_Oless(X1,X2,tc_nat)|~c_HOL_Oord__class_Oless(c_Suc(X1),c_Suc(X2),tc_nat))).
% 0.19/0.51 cnf(i_0_779, plain, (c_HOL_Oord__class_Oless(X1,c_Suc(X2),tc_nat)|~c_HOL_Oord__class_Oless(X1,X2,tc_nat))).
% 0.19/0.51 cnf(i_0_1142, 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))).
% 0.19/0.51 cnf(i_0_1143, 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))).
% 0.19/0.51 cnf(i_0_607, plain, (c_HOL_Ominus__class_Ominus(X1,c_HOL_Ozero__class_Ozero(X2),X2)=X1|~class_OrderedGroup_Ogroup__add(X2))).
% 0.19/0.51 cnf(i_0_737, plain, (c_HOL_Oplus__class_Oplus(X1,c_HOL_Ozero__class_Ozero(X2),X2)=X1|~class_OrderedGroup_Ocomm__monoid__add(X2))).
% 0.19/0.51 cnf(i_0_892, plain, (c_Set_Oinsert(X1,X2,X3)=X2|~hBOOL(c_in(X1,X2,X3)))).
% 0.19/0.51 cnf(i_0_709, plain, (X1=X2|c_HOL_Ominus__class_Ominus(X1,X2,X3)!=c_HOL_Ozero__class_Ozero(X3)|~class_Int_Onumber__ring(X3)|~class_Ring__and__Field_Oidom(X3))).
% 0.19/0.51 cnf(i_0_695, plain, (c_lessequals(X1,X2,X3)|c_Lattices_Olower__semilattice__class_Oinf(X1,X2,X3)!=X1|~class_Lattices_Olower__semilattice(X3))).
% 0.19/0.51 cnf(i_0_740, plain, (c_HOL_Oplus__class_Oplus(c_HOL_Ozero__class_Ozero(X1),X2,X1)=X2|~class_OrderedGroup_Ocomm__monoid__add(X1))).
% 0.19/0.51 cnf(i_0_1202, plain, (X1=X2|~hBOOL(hAPP(c_Set_Oinsert(X1,c_Orderings_Obot__class_Obot(tc_fun(X3,tc_bool)),X3),X2)))).
% 0.19/0.51 cnf(i_0_925, plain, (c_Lattices_Oupper__semilattice__class_Osup(X1,X2,tc_fun(X3,tc_bool))=X2|~c_lessequals(X1,X2,tc_fun(X3,tc_bool)))).
% 0.19/0.51 cnf(i_0_926, plain, (c_Lattices_Oupper__semilattice__class_Osup(X1,X2,tc_fun(X3,tc_bool))=X1|~c_lessequals(X2,X1,tc_fun(X3,tc_bool)))).
% 0.19/0.51 cnf(i_0_1140, plain, (X1=X2|c_Set_Oinsert(X1,c_Orderings_Obot__class_Obot(tc_fun(X3,tc_bool)),X3)!=c_Set_Oinsert(X2,c_Orderings_Obot__class_Obot(tc_fun(X3,tc_bool)),X3))).
% 0.19/0.51 cnf(i_0_741, plain, (c_HOL_Oplus__class_Oplus(X1,c_HOL_Ozero__class_Ozero(X2),X2)=X1|~class_Ring__and__Field_Ocomm__semiring__1(X2))).
% 0.19/0.51 cnf(i_0_895, plain, (c_lessequals(X1,X2,X3)|c_Lattices_Oupper__semilattice__class_Osup(X1,X2,X3)!=X2|~class_Lattices_Oupper__semilattice(X3))).
% 0.19/0.51 cnf(i_0_712, plain, (hBOOL(c_in(X1,X2,X3))|~hBOOL(hAPP(X2,X1)))).
% 0.19/0.51 cnf(i_0_610, plain, (X1=c_HOL_Ozero__class_Ozero(X2)|c_HOL_Oplus__class_Oplus(X1,X1,X2)!=c_HOL_Ozero__class_Ozero(X2)|~class_OrderedGroup_Olordered__ab__group__add(X2))).
% 0.19/0.51 cnf(i_0_750, 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))).
% 0.19/0.51 cnf(i_0_751, 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))).
% 0.19/0.51 cnf(i_0_735, plain, (c_HOL_Oplus__class_Oplus(X1,c_HOL_Ozero__class_Ozero(X2),X2)=X1|~class_OrderedGroup_Omonoid__add(X2))).
% 0.19/0.51 cnf(i_0_631, plain, (X1=X2|~class_Orderings_Oorder(X3)|~c_lessequals(X2,X1,X3)|~c_lessequals(X1,X2,X3))).
% 0.19/0.51 cnf(i_0_603, plain, (~hBOOL(c_in(X1,c_HOL_Ominus__class_Ominus(X2,X3,tc_fun(X4,tc_bool)),X4))|~hBOOL(c_in(X1,X3,X4)))).
% 0.19/0.51 cnf(i_0_973, plain, (X1=X2|c_HOL_Oord__class_Oless(X2,X1,tc_nat)|~c_HOL_Oord__class_Oless(X2,c_Suc(X1),tc_nat))).
% 0.19/0.51 cnf(i_0_1082, plain, (c_Finite__Set_Osetsum(X1,c_Orderings_Obot__class_Obot(tc_fun(X2,tc_bool)),X2,X3)=c_HOL_Ozero__class_Ozero(X3)|~class_OrderedGroup_Ocomm__monoid__add(X3))).
% 0.19/0.51 cnf(i_0_739, plain, (c_HOL_Oplus__class_Oplus(c_HOL_Ozero__class_Ozero(X1),X2,X1)=X2|~class_Ring__and__Field_Ocomm__semiring__1(X1))).
% 0.19/0.51 cnf(i_0_690, plain, (X1=X2|c_HOL_Ominus__class_Ominus(X3,X3,X4)!=c_HOL_Ominus__class_Ominus(X1,X2,X4)|~class_OrderedGroup_Oab__group__add(X4))).
% 0.19/0.51 cnf(i_0_823, plain, (X1=X2|c_HOL_Oplus__class_Oplus(X3,X1,X4)!=c_HOL_Oplus__class_Oplus(X3,X2,X4)|~class_OrderedGroup_Ocancel__ab__semigroup__add(X4))).
% 0.19/0.51 cnf(i_0_824, plain, (X1=X2|c_HOL_Oplus__class_Oplus(X3,X1,X4)!=c_HOL_Oplus__class_Oplus(X3,X2,X4)|~class_OrderedGroup_Ocancel__semigroup__add(X4))).
% 0.19/0.51 cnf(i_0_825, plain, (X1=X2|c_HOL_Oplus__class_Oplus(X1,X3,X4)!=c_HOL_Oplus__class_Oplus(X2,X3,X4)|~class_OrderedGroup_Ocancel__semigroup__add(X4))).
% 0.19/0.51 cnf(i_0_1065, plain, (X1=X2|~hBOOL(c_in(X1,c_Set_Oinsert(X2,c_Orderings_Obot__class_Obot(tc_fun(X3,tc_bool)),X3),X3)))).
% 0.19/0.51 cnf(i_0_736, plain, (c_HOL_Oplus__class_Oplus(c_HOL_Ozero__class_Ozero(X1),X2,X1)=X2|~class_OrderedGroup_Omonoid__add(X1))).
% 0.19/0.51 cnf(i_0_605, plain, (c_HOL_Ominus__class_Ominus(X1,X1,X2)=c_HOL_Ozero__class_Ozero(X2)|~class_Int_Onumber__ring(X2)|~class_Ring__and__Field_Oidom(X2))).
% 0.19/0.51 cnf(i_0_813, plain, (c_lessequals(X1,X2,X3)|~class_Lattices_Olower__semilattice(X3)|~c_lessequals(X1,c_Lattices_Olower__semilattice__class_Oinf(X4,X2,X3),X3))).
% 0.19/0.51 cnf(i_0_746, plain, (c_HOL_Oord__class_Oless(c_Suc(X1),c_Suc(X2),tc_nat)|~c_HOL_Oord__class_Oless(X1,X2,tc_nat))).
% 0.19/0.51 cnf(i_0_1089, plain, (c_SetInterval_Oord__class_OatLeastLessThan(X1,X2,X3)=c_Orderings_Obot__class_Obot(tc_fun(X3,tc_bool))|~class_Orderings_Oorder(X3)|~c_lessequals(X2,X1,X3))).
% 0.19/0.51 cnf(i_0_738, plain, (c_HOL_Oplus__class_Oplus(X1,c_HOL_Ozero__class_Ozero(X2),X2)=X1|~class_Int_Onumber__ring(X2)|~class_Ring__and__Field_Oidom(X2))).
% 0.19/0.51 cnf(i_0_669, plain, (c_HOL_Oplus__class_Oplus(c_HOL_Ozero__class_Ozero(X1),c_HOL_Ozero__class_Ozero(X1),X1)=c_HOL_Ozero__class_Ozero(X1)|~class_OrderedGroup_Olordered__ab__group__add(X1))).
% 0.19/0.51 cnf(i_0_812, plain, (c_lessequals(X1,X2,X3)|~class_Lattices_Olower__semilattice(X3)|~c_lessequals(X1,c_Lattices_Olower__semilattice__class_Oinf(X2,X4,X3),X3))).
% 0.19/0.51 cnf(i_0_907, plain, (c_lessequals(X1,X2,X3)|~class_Lattices_Oupper__semilattice(X3)|~c_lessequals(c_Lattices_Oupper__semilattice__class_Osup(X4,X1,X3),X2,X3))).
% 0.19/0.51 cnf(i_0_634, plain, (X1=X2|c_HOL_Oord__class_Oless(X1,X2,tc_nat)|c_HOL_Oord__class_Oless(X2,X1,tc_nat))).
% 0.19/0.51 cnf(i_0_1098, plain, (c_SetInterval_Oord__class_OgreaterThanLessThan(X1,X2,X3)=c_Orderings_Obot__class_Obot(tc_fun(X3,tc_bool))|~class_Orderings_Oorder(X3)|~c_lessequals(X2,X1,X3))).
% 0.19/0.51 cnf(i_0_697, plain, (c_Lattices_Olower__semilattice__class_Oinf(X1,X2,tc_fun(X3,tc_bool))=X2|~c_lessequals(X2,X1,tc_fun(X3,tc_bool)))).
% 0.19/0.51 cnf(i_0_698, plain, (c_Lattices_Olower__semilattice__class_Oinf(X1,X2,tc_fun(X3,tc_bool))=X1|~c_lessequals(X1,X2,tc_fun(X3,tc_bool)))).
% 0.19/0.51 cnf(i_0_896, plain, (c_Lattices_Oupper__semilattice__class_Osup(X1,X2,X3)=X2|~class_Lattices_Oupper__semilattice(X3)|~c_lessequals(X1,X2,X3))).
% 0.19/0.51 cnf(i_0_604, plain, (X1=c_HOL_Ozero__class_Ozero(X2)|c_HOL_Oplus__class_Oplus(X3,X1,X2)!=X3|~class_Int_Onumber__ring(X2)|~class_Ring__and__Field_Oidom(X2))).
% 0.19/0.51 cnf(i_0_908, plain, (c_lessequals(X1,X2,X3)|~class_Lattices_Oupper__semilattice(X3)|~c_lessequals(c_Lattices_Oupper__semilattice__class_Osup(X1,X4,X3),X2,X3))).
% 0.19/0.51 cnf(i_0_802, plain, (hBOOL(hAPP(X1,X2))|~hBOOL(hAPP(c_Lattices_Olower__semilattice__class_Oinf(X3,X1,tc_fun(X4,tc_bool)),X2)))).
% 0.19/0.51 cnf(i_0_903, plain, (c_lessequals(X1,c_Lattices_Oupper__semilattice__class_Osup(X2,X1,X3),X3)|~class_Lattices_Olattice(X3))).
% 0.19/0.51 cnf(i_0_894, plain, (c_Lattices_Oupper__semilattice__class_Osup(X1,X2,X3)=X1|~class_Lattices_Oupper__semilattice(X3)|~c_lessequals(X2,X1,X3))).
% 0.19/0.51 cnf(i_0_693, plain, (X1=c_Suc(c_HOL_Ozero__class_Ozero(tc_nat))|X1=c_HOL_Ozero__class_Ozero(tc_nat)|~c_HOL_Oord__class_Oless(X1,c_Suc(c_Suc(c_HOL_Ozero__class_Ozero(tc_nat))),tc_nat))).
% 0.19/0.51 cnf(i_0_1081, 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))).
% 0.19/0.51 cnf(i_0_1071, 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))).
% 0.19/0.51 cnf(i_0_961, plain, (c_HOL_Oplus__class_Oplus(X1,X2,X3)=c_HOL_Oplus__class_Oplus(X2,X1,X3)|~class_OrderedGroup_Ocomm__monoid__add(X3))).
% 0.19/0.51 cnf(i_0_900, plain, (c_lessequals(X1,c_Lattices_Oupper__semilattice__class_Osup(X2,X1,X3),X3)|~class_Lattices_Oupper__semilattice(X3))).
% 0.19/0.51 cnf(i_0_803, plain, (hBOOL(hAPP(X1,X2))|~hBOOL(hAPP(c_Lattices_Olower__semilattice__class_Oinf(X1,X3,tc_fun(X4,tc_bool)),X2)))).
% 0.19/0.51 cnf(i_0_694, plain, (c_Lattices_Olower__semilattice__class_Oinf(X1,X2,X3)=X2|~class_Lattices_Olower__semilattice(X3)|~c_lessequals(X2,X1,X3))).
% 0.19/0.51 cnf(i_0_696, plain, (c_Lattices_Olower__semilattice__class_Oinf(X1,X2,X3)=X1|~class_Lattices_Olower__semilattice(X3)|~c_lessequals(X1,X2,X3))).
% 0.19/0.51 cnf(i_0_986, plain, (c_lessequals(X1,X2,X3)|~class_OrderedGroup_Opordered__ab__group__add(X3)|~c_lessequals(c_HOL_Ominus__class_Ominus(X1,X2,X3),c_HOL_Ozero__class_Ozero(X3),X3))).
% 0.19/0.51 cnf(i_0_904, plain, (c_lessequals(X1,c_Lattices_Oupper__semilattice__class_Osup(X1,X2,X3),X3)|~class_Lattices_Olattice(X3))).
% 0.19/0.51 cnf(i_0_1063, plain, (c_Finite__Set_Olinorder__class_OMin(c_Set_Oinsert(X1,c_Orderings_Obot__class_Obot(tc_fun(X2,tc_bool)),X2),X2)=X1|~class_Orderings_Olinorder(X2))).
% 0.19/0.51 cnf(i_0_1066, plain, (c_Finite__Set_Olinorder__class_OMax(c_Set_Oinsert(X1,c_Orderings_Obot__class_Obot(tc_fun(X2,tc_bool)),X2),X2)=X1|~class_Orderings_Olinorder(X2))).
% 0.19/0.51 cnf(i_0_636, plain, (X1=X2|~c_lessequals(X2,X1,tc_fun(X3,tc_bool))|~c_lessequals(X1,X2,tc_fun(X3,tc_bool)))).
% 0.19/0.51 cnf(i_0_959, plain, (c_HOL_Oplus__class_Oplus(X1,X2,X3)=c_HOL_Oplus__class_Oplus(X2,X1,X3)|~class_Ring__and__Field_Ocomm__semiring__1(X3))).
% 0.19/0.51 cnf(i_0_901, plain, (c_lessequals(X1,c_Lattices_Oupper__semilattice__class_Osup(X1,X2,X3),X3)|~class_Lattices_Oupper__semilattice(X3))).
% 0.19/0.51 cnf(i_0_993, plain, (c_HOL_Oord__class_Oless(X1,X2,X3)|~class_OrderedGroup_Opordered__ab__group__add(X3)|~c_HOL_Oord__class_Oless(c_HOL_Ominus__class_Ominus(X1,X2,X3),c_HOL_Ozero__class_Ozero(X3),X3))).
% 0.19/0.51 cnf(i_0_822, plain, (X1=X2|c_HOL_Oplus__class_Oplus(X3,X1,X4)!=c_HOL_Oplus__class_Oplus(X3,X2,X4)|~class_Int_Onumber__ring(X4)|~class_Ring__and__Field_Oidom(X4))).
% 0.19/0.51 cnf(i_0_682, plain, (c_HOL_Oord__class_Oless(X1,X2,X3)|c_lessequals(X2,X1,X3)|~class_Orderings_Olinorder(X3))).
% 0.19/0.51 cnf(i_0_1148, plain, (c_Lattices_Oupper__semilattice__class_Osup(X1,X2,X3)=c_Lattices_Oupper__semilattice__class_Osup(X2,X1,X3)|~class_Lattices_Olattice(X3))).
% 0.19/0.51 cnf(i_0_883, plain, (c_lessequals(X1,X2,tc_fun(X3,tc_bool))|~c_lessequals(c_Set_Oinsert(X4,X1,X3),X2,tc_fun(X3,tc_bool)))).
% 0.19/0.51 cnf(i_0_939, plain, (c_lessequals(X1,X2,tc_fun(X3,tc_bool))|~c_lessequals(c_Lattices_Oupper__semilattice__class_Osup(X4,X1,tc_fun(X3,tc_bool)),X2,tc_fun(X3,tc_bool)))).
% 0.19/0.51 cnf(i_0_938, plain, (c_lessequals(X1,X2,tc_fun(X3,tc_bool))|~c_lessequals(c_Lattices_Oupper__semilattice__class_Osup(X1,X4,tc_fun(X3,tc_bool)),X2,tc_fun(X3,tc_bool)))).
% 0.19/0.51 cnf(i_0_847, 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)))).
% 0.19/0.51 cnf(i_0_1146, plain, (c_Lattices_Oupper__semilattice__class_Osup(X1,X2,X3)=c_Lattices_Oupper__semilattice__class_Osup(X2,X1,X3)|~class_Lattices_Oupper__semilattice(X3))).
% 0.19/0.51 cnf(i_0_846, plain, (hBOOL(hAPP(X1,X2))|~hBOOL(c_in(X2,c_Lattices_Olower__semilattice__class_Oinf(X3,X1,tc_fun(X4,tc_bool)),X4)))).
% 0.19/0.51 cnf(i_0_1112, plain, (X1=X2|hBOOL(hAPP(X3,X1))|~hBOOL(hAPP(c_Set_Oinsert(X2,X3,X4),X1)))).
% 0.19/0.51 cnf(i_0_716, plain, (c_Suc(X1)=X2|c_HOL_Oord__class_Oless(c_Suc(X1),X2,tc_nat)|~c_HOL_Oord__class_Oless(X1,X2,tc_nat))).
% 0.19/0.51 cnf(i_0_703, plain, (c_Lattices_Olower__semilattice__class_Oinf(X1,X2,X3)=c_Lattices_Olower__semilattice__class_Oinf(X2,X1,X3)|~class_Lattices_Olattice(X3))).
% 0.19/0.51 cnf(i_0_915, plain, (c_Lattices_Olower__semilattice__class_Oinf(X1,c_Lattices_Oupper__semilattice__class_Osup(X1,X2,X3),X3)=X1|~class_Lattices_Olattice(X3))).
% 0.19/0.51 cnf(i_0_789, plain, (X1=X2|c_HOL_Oord__class_Oless(X1,X2,X3)|~class_Orderings_Oorder(X3)|~c_lessequals(X1,X2,X3))).
% 0.19/0.51 cnf(i_0_897, plain, (c_Lattices_Oupper__semilattice__class_Osup(X1,c_Lattices_Olower__semilattice__class_Oinf(X1,X2,X3),X3)=X1|~class_Lattices_Olattice(X3))).
% 0.19/0.51 cnf(i_0_630, plain, (c_SetInterval_Oord__class_OatLeastAtMost(X1,X2,X3)=c_Orderings_Obot__class_Obot(tc_fun(X3,tc_bool))|~class_Orderings_Oorder(X3)|~c_HOL_Oord__class_Oless(X2,X1,X3))).
% 0.19/0.51 cnf(i_0_731, plain, (c_SetInterval_Oord__class_OgreaterThanAtMost(X1,X2,X3)=c_Orderings_Obot__class_Obot(tc_fun(X3,tc_bool))|~class_Orderings_Oorder(X3)|~c_lessequals(X2,X1,X3))).
% 0.19/0.51 cnf(i_0_1087, 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))).
% 0.19/0.51 cnf(i_0_701, plain, (c_Lattices_Olower__semilattice__class_Oinf(X1,X2,X3)=c_Lattices_Olower__semilattice__class_Oinf(X2,X1,X3)|~class_Lattices_Olower__semilattice(X3))).
% 0.19/0.51 cnf(i_0_758, plain, (c_lessequals(c_Lattices_Olower__semilattice__class_Oinf(X1,X2,X3),X2,X3)|~class_Lattices_Olattice(X3))).
% 0.19/0.51 cnf(i_0_793, plain, (X1=X2|c_HOL_Oord__class_Oless(X1,X2,X3)|~class_Orderings_Olinorder(X3)|~c_lessequals(X1,X2,X3))).
% 0.19/0.51 cnf(i_0_764, plain, (c_lessequals(c_Lattices_Olower__semilattice__class_Oinf(X1,X2,X3),X2,X3)|~class_Lattices_Olower__semilattice(X3))).
% 0.19/0.51 cnf(i_0_1064, plain, (X1=X2|~hBOOL(hAPP(c_Finite__Set_Ofold1Set(X3,c_Set_Oinsert(X1,c_Orderings_Obot__class_Obot(tc_fun(X4,tc_bool)),X4),X4),X2)))).
% 0.19/0.51 cnf(i_0_1050, plain, (c_lessequals(X1,X2,X3)|c_lessequals(X2,X1,X3)|~class_Orderings_Olinorder(X3))).
% 0.19/0.51 cnf(i_0_757, plain, (c_lessequals(c_Lattices_Olower__semilattice__class_Oinf(X1,X2,X3),X1,X3)|~class_Lattices_Olattice(X3))).
% 0.19/0.51 cnf(i_0_763, plain, (c_lessequals(c_Lattices_Olower__semilattice__class_Oinf(X1,X2,X3),X1,X3)|~class_Lattices_Olower__semilattice(X3))).
% 0.19/0.51 cnf(i_0_615, plain, (c_HOL_Oord__class_Oless(X1,c_HOL_Ozero__class_Ozero(X2),X2)|~c_HOL_Oord__class_Oless(c_HOL_Oplus__class_Oplus(X1,X1,X2),c_HOL_Ozero__class_Ozero(X2),X2)|~class_OrderedGroup_Olordered__ab__group__add(X2))).
% 0.19/0.51 cnf(i_0_797, plain, (c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X1),X2,X1)|~c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X1),c_HOL_Oplus__class_Oplus(X2,X2,X1),X1)|~class_OrderedGroup_Olordered__ab__group__add(X1))).
% 0.19/0.51 cnf(i_0_1044, plain, (hBOOL(hAPP(X1,hAPP(X2,X3)))|~hBOOL(hAPP(c_Set_Ovimage(X2,X1,X4,X5),X3)))).
% 0.19/0.51 cnf(i_0_1141, plain, (hBOOL(hAPP(c_Set_Oinsert(X1,X2,X3),X4))|~hBOOL(hAPP(X2,X4)))).
% 0.19/0.51 cnf(i_0_810, 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)))).
% 0.19/0.51 cnf(i_0_811, 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)))).
% 0.19/0.51 cnf(i_0_1128, plain, (hBOOL(hAPP(c_Lattices_Oupper__semilattice__class_Osup(X1,X2,tc_fun(X3,tc_bool)),X4))|~hBOOL(hAPP(X2,X4)))).
% 0.19/0.51 cnf(i_0_1129, plain, (hBOOL(hAPP(c_Lattices_Oupper__semilattice__class_Osup(X1,X2,tc_fun(X3,tc_bool)),X4))|~hBOOL(hAPP(X1,X4)))).
% 0.19/0.51 cnf(i_0_643, plain, (X1=X2|c_HOL_Oord__class_Oless(X1,X2,X3)|c_HOL_Oord__class_Oless(X2,X1,X3)|~class_Ring__and__Field_Oordered__idom(X3))).
% 0.19/0.51 cnf(i_0_1047, plain, (c_lessequals(X1,c_Complete__Lattice_OSup__class_OSup(X2,X3),X3)|~class_Complete__Lattice_Ocomplete__lattice(X3)|~hBOOL(c_in(X1,X2,X3)))).
% 0.19/0.51 cnf(i_0_756, plain, (c_lessequals(c_Complete__Lattice_OInf__class_OInf(X1,X2),X3,X2)|~class_Complete__Lattice_Ocomplete__lattice(X2)|~hBOOL(c_in(X3,X1,X2)))).
% 0.19/0.51 cnf(i_0_1007, plain, (c_lessequals(X1,c_HOL_Ozero__class_Ozero(X2),X2)|~c_lessequals(c_HOL_Oplus__class_Oplus(X1,X1,X2),c_HOL_Ozero__class_Ozero(X2),X2)|~class_OrderedGroup_Olordered__ab__group__add(X2))).
% 0.19/0.51 cnf(i_0_614, plain, (c_HOL_Oord__class_Oless(X1,c_HOL_Ozero__class_Ozero(X2),X2)|~c_HOL_Oord__class_Oless(c_HOL_Oplus__class_Oplus(X1,X1,X2),c_HOL_Ozero__class_Ozero(X2),X2)|~class_Ring__and__Field_Oordered__idom(X2))).
% 0.19/0.51 cnf(i_0_743, plain, (c_HOL_Ominus__class_Ominus(c_HOL_Oplus__class_Oplus(X1,X2,X3),X2,X3)=X1|~class_OrderedGroup_Ogroup__add(X3))).
% 0.19/0.51 cnf(i_0_884, plain, (c_lessequals(X1,c_Set_Oinsert(X2,X3,X4),tc_fun(X4,tc_bool))|~c_lessequals(X1,X3,tc_fun(X4,tc_bool)))).
% 0.19/0.51 cnf(i_0_1080, 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))).
% 0.19/0.51 cnf(i_0_647, plain, (c_HOL_Oord__class_Oless(c_Suc(X1),X2,tc_nat)|~c_HOL_Oord__class_Oless(X3,X2,tc_nat)|~c_HOL_Oord__class_Oless(X1,X3,tc_nat))).
% 0.19/0.51 cnf(i_0_632, plain, (X1=X2|c_HOL_Oord__class_Oless(X1,X2,X3)|c_HOL_Oord__class_Oless(X2,X1,X3)|~class_Orderings_Olinorder(X3))).
% 0.19/0.51 cnf(i_0_667, plain, (c_HOL_Oplus__class_Oplus(c_HOL_Ominus__class_Ominus(X1,X2,X3),X2,X3)=X1|~class_OrderedGroup_Ogroup__add(X3))).
% 0.19/0.51 cnf(i_0_851, plain, (c_lessequals(c_HOL_Ozero__class_Ozero(X1),X2,X1)|~c_lessequals(c_HOL_Ozero__class_Ozero(X1),c_HOL_Oplus__class_Oplus(X2,X2,X1),X1)|~class_OrderedGroup_Olordered__ab__group__add(X1))).
% 0.19/0.51 cnf(i_0_957, plain, (hBOOL(c_in(X1,X2,X3))|~hBOOL(c_in(X1,c_HOL_Ominus__class_Ominus(X2,X4,tc_fun(X3,tc_bool)),X3)))).
% 0.19/0.51 cnf(i_0_831, plain, (hBOOL(c_in(X1,X2,X3))|~hBOOL(c_in(X1,c_Lattices_Olower__semilattice__class_Oinf(X4,X2,tc_fun(X3,tc_bool)),X3)))).
% 0.19/0.51 cnf(i_0_733, plain, (hBOOL(c_in(X1,X2,X3))|~hBOOL(c_in(X1,c_Lattices_Olower__semilattice__class_Oinf(X2,X4,tc_fun(X3,tc_bool)),X3)))).
% 0.19/0.51 cnf(i_0_776, 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))).
% 0.19/0.51 cnf(i_0_659, plain, (c_SetInterval_Oord__class_OgreaterThanAtMost(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))).
% 0.19/0.51 cnf(i_0_652, plain, (c_lessequals(X1,X2,X3)|~class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(X3)|~c_lessequals(c_HOL_Oplus__class_Oplus(X4,X1,X3),c_HOL_Oplus__class_Oplus(X4,X2,X3),X3))).
% 0.19/0.51 cnf(i_0_754, plain, (c_lessequals(X1,X2,X3)|~class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(X3)|~c_lessequals(c_HOL_Oplus__class_Oplus(X1,X4,X3),c_HOL_Oplus__class_Oplus(X2,X4,X3),X3))).
% 0.19/0.51 cnf(i_0_1011, plain, (c_HOL_Oord__class_Oless(X1,X2,X3)|~class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(X3)|~c_HOL_Oord__class_Oless(c_HOL_Oplus__class_Oplus(X4,X1,X3),c_HOL_Oplus__class_Oplus(X4,X2,X3),X3))).
% 0.19/0.51 cnf(i_0_1152, 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))).
% 0.19/0.51 cnf(i_0_1150, 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))).
% 0.19/0.51 cnf(i_0_768, plain, (c_Finite__Set_Osetsum(X1,c_SetInterval_Oord__class_OatLeastLessThan(X2,c_Suc(X3),tc_nat),tc_nat,X4)=c_HOL_Ozero__class_Ozero(X4)|~class_OrderedGroup_Ocomm__monoid__add(X4)|~c_HOL_Oord__class_Oless(X3,X2,tc_nat))).
% 0.19/0.51 cnf(i_0_1014, plain, (c_HOL_Oord__class_Oless(X1,X2,X3)|~class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(X3)|~c_HOL_Oord__class_Oless(c_HOL_Oplus__class_Oplus(X1,X4,X3),c_HOL_Oplus__class_Oplus(X2,X4,X3),X3))).
% 0.19/0.51 cnf(i_0_1018, plain, (hBOOL(hAPP(X1,X2))|~c_lessequals(X3,X1,tc_fun(X4,tc_bool))|~hBOOL(hAPP(X3,X2)))).
% 0.19/0.51 cnf(i_0_983, plain, (c_HOL_Oord__class_Oless(X1,X2,X3)|c_lessequals(X2,X1,X3)|~class_Orderings_Opreorder(X3)|~c_lessequals(X1,X2,X3))).
% 0.19/0.51 cnf(i_0_1085, 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))).
% 0.19/0.51 cnf(i_0_1058, 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)))).
% 0.19/0.51 cnf(i_0_954, 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))).
% 0.19/0.51 cnf(i_0_1036, plain, (c_lessequals(X1,X2,X3)|~class_Orderings_Oorder(X3)|~c_lessequals(X4,X2,X3)|~c_lessequals(X1,X4,X3))).
% 0.19/0.51 cnf(i_0_1032, plain, (c_lessequals(X1,X2,X3)|~class_Orderings_Opreorder(X3)|~c_lessequals(X4,X2,X3)|~c_lessequals(X1,X4,X3))).
% 0.19/0.51 cnf(i_0_1034, plain, (c_HOL_Oord__class_Oless(X1,X2,X3)|~class_Orderings_Oorder(X3)|~c_HOL_Oord__class_Oless(X1,X4,X3)|~c_lessequals(X4,X2,X3))).
% 0.19/0.51 cnf(i_0_1035, plain, (c_HOL_Oord__class_Oless(X1,X2,X3)|~class_Orderings_Oorder(X3)|~c_HOL_Oord__class_Oless(X4,X2,X3)|~c_lessequals(X1,X4,X3))).
% 0.19/0.51 cnf(i_0_715, plain, (hBOOL(c_in(X1,X2,X3))|~c_lessequals(c_Set_Oinsert(X1,X4,X3),X2,tc_fun(X3,tc_bool)))).
% 0.19/0.51 cnf(i_0_909, plain, (c_lessequals(X1,c_Lattices_Oupper__semilattice__class_Osup(X2,X3,X4),X4)|~class_Lattices_Oupper__semilattice(X4)|~c_lessequals(X1,X3,X4))).
% 0.19/0.51 cnf(i_0_910, plain, (c_lessequals(X1,c_Lattices_Oupper__semilattice__class_Osup(X2,X3,X4),X4)|~class_Lattices_Oupper__semilattice(X4)|~c_lessequals(X1,X2,X4))).
% 0.19/0.51 cnf(i_0_668, plain, (c_HOL_Oplus__class_Oplus(c_HOL_Ozero__class_Ozero(X1),c_HOL_Ozero__class_Ozero(X1),X1)=c_HOL_Ozero__class_Ozero(X1)|~c_lessequals(c_HOL_Ozero__class_Ozero(X1),c_HOL_Ozero__class_Ozero(X1),X1)|~class_OrderedGroup_Opordered__comm__monoid__add(X1))).
% 0.19/0.51 cnf(i_0_885, plain, (hBOOL(c_in(X1,c_Set_Oinsert(X2,X3,X4),X4))|~hBOOL(c_in(X1,X3,X4)))).
% 0.19/0.51 cnf(i_0_670, plain, (c_HOL_Oord__class_Oless(X1,X2,X3)|~class_Orderings_Oorder(X3)|~c_HOL_Oord__class_Oless(X4,X2,X3)|~c_HOL_Oord__class_Oless(X1,X4,X3))).
% 0.19/0.51 cnf(i_0_1030, plain, (c_HOL_Oord__class_Oless(X1,X2,X3)|~class_Orderings_Opreorder(X3)|~c_HOL_Oord__class_Oless(X1,X4,X3)|~c_lessequals(X4,X2,X3))).
% 0.19/0.51 cnf(i_0_1029, plain, (c_HOL_Oord__class_Oless(X1,X2,X3)|~class_Orderings_Opreorder(X3)|~c_HOL_Oord__class_Oless(X4,X2,X3)|~c_lessequals(X1,X4,X3))).
% 0.19/0.51 cnf(i_0_671, plain, (c_HOL_Oord__class_Oless(X1,X2,X3)|~class_Orderings_Opreorder(X3)|~c_HOL_Oord__class_Oless(X4,X2,X3)|~c_HOL_Oord__class_Oless(X1,X4,X3))).
% 0.19/0.51 cnf(i_0_905, 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))).
% 0.19/0.51 cnf(i_0_906, 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))).
% 0.19/0.51 cnf(i_0_801, plain, (c_lessequals(X1,c_Lattices_Oupper__semilattice__class_Osup(X2,X3,tc_fun(X4,tc_bool)),tc_fun(X4,tc_bool))|~c_lessequals(c_HOL_Ominus__class_Ominus(X1,X2,tc_fun(X4,tc_bool)),X3,tc_fun(X4,tc_bool)))).
% 0.19/0.51 cnf(i_0_1003, 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))).
% 0.19/0.51 cnf(i_0_881, plain, (X1=X2|hBOOL(c_in(X1,X3,X4))|~hBOOL(c_in(X1,c_Set_Oinsert(X2,X3,X4),X4)))).
% 0.19/0.51 cnf(i_0_724, plain, (hBOOL(c_in(hAPP(X1,X2),X3,X4))|~hBOOL(c_in(X2,c_Set_Ovimage(X1,X3,X5,X4),X5)))).
% 0.19/0.51 cnf(i_0_786, 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))).
% 0.19/0.51 cnf(i_0_1005, 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))).
% 0.19/0.51 cnf(i_0_853, plain, (hAPP(X1,c_Orderings_Obot__class_Obot(tc_fun(X2,tc_bool)))=X3|~c_Complete__Lattice_Ocomplete__lattice(X4,X1,X5,X6,X7,X8,X3,X9,X2))).
% 0.19/0.51 cnf(i_0_854, plain, (hAPP(X1,c_Orderings_Obot__class_Obot(tc_fun(X2,tc_bool)))=X3|~c_Complete__Lattice_Ocomplete__lattice(X1,X4,X5,X6,X7,X8,X9,X3,X2))).
% 0.19/0.51 cnf(i_0_940, plain, (hBOOL(c_in(X1,c_Lattices_Oupper__semilattice__class_Osup(X2,X3,tc_fun(X4,tc_bool)),X4))|~hBOOL(c_in(X1,X3,X4)))).
% 0.19/0.51 cnf(i_0_941, plain, (hBOOL(c_in(X1,c_Lattices_Oupper__semilattice__class_Osup(X2,X3,tc_fun(X4,tc_bool)),X4))|~hBOOL(c_in(X1,X2,X4)))).
% 0.19/0.51 cnf(i_0_749, plain, (c_lessequals(hAPP(X1,X2),hAPP(X3,X2),X4)|~class_HOL_Oord(X4)|~c_lessequals(X1,X3,tc_fun(X5,X4)))).
% 0.19/0.51 cnf(i_0_784, plain, (c_HOL_Oord__class_Oless(X1,X2,X3)|c_HOL_Ominus__class_Ominus(X4,X5,X3)!=c_HOL_Ominus__class_Ominus(X1,X2,X3)|~class_OrderedGroup_Opordered__ab__group__add(X3)|~c_HOL_Oord__class_Oless(X4,X5,X3))).
% 0.19/0.51 cnf(i_0_815, plain, (c_lessequals(c_Lattices_Olower__semilattice__class_Oinf(X1,X2,X3),X4,X3)|~class_Lattices_Olower__semilattice(X3)|~c_lessequals(X2,X4,X3))).
% 0.19/0.51 cnf(i_0_1127, 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)))).
% 0.19/0.51 cnf(i_0_1022, plain, (c_lessequals(X1,X2,tc_fun(X3,tc_bool))|~c_lessequals(X4,X2,tc_fun(X3,tc_bool))|~c_lessequals(X1,X4,tc_fun(X3,tc_bool)))).
% 0.19/0.51 cnf(i_0_1121, plain, (X1=X2|X1=X3|c_Set_Oinsert(X4,c_Set_Oinsert(X1,c_Orderings_Obot__class_Obot(tc_fun(X5,tc_bool)),X5),X5)!=c_Set_Oinsert(X2,c_Set_Oinsert(X3,c_Orderings_Obot__class_Obot(tc_fun(X5,tc_bool)),X5),X5))).
% 0.19/0.51 cnf(i_0_814, plain, (c_lessequals(c_Lattices_Olower__semilattice__class_Oinf(X1,X2,X3),X4,X3)|~class_Lattices_Olower__semilattice(X3)|~c_lessequals(X1,X4,X3))).
% 0.19/0.51 cnf(i_0_645, 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))).
% 0.19/0.51 cnf(i_0_644, 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))).
% 0.19/0.51 cnf(i_0_985, plain, (c_lessequals(c_HOL_Ominus__class_Ominus(X1,X2,X3),c_HOL_Ozero__class_Ozero(X3),X3)|~class_OrderedGroup_Opordered__ab__group__add(X3)|~c_lessequals(X1,X2,X3))).
% 0.19/0.51 cnf(i_0_1139, 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))).
% 0.19/0.51 cnf(i_0_1119, plain, (X1=X2|X3=X2|c_Set_Oinsert(X1,c_Set_Oinsert(X3,c_Orderings_Obot__class_Obot(tc_fun(X4,tc_bool)),X4),X4)!=c_Set_Oinsert(X2,c_Set_Oinsert(X5,c_Orderings_Obot__class_Obot(tc_fun(X4,tc_bool)),X4),X4))).
% 0.19/0.51 cnf(i_0_1135, 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))).
% 0.19/0.51 cnf(i_0_1043, plain, (hBOOL(hAPP(c_Set_Ovimage(X1,X2,X3,X4),X5))|~hBOOL(hAPP(X2,hAPP(X1,X5))))).
% 0.19/0.51 cnf(i_0_992, plain, (c_HOL_Oord__class_Oless(c_HOL_Ominus__class_Ominus(X1,X2,X3),c_HOL_Ozero__class_Ozero(X3),X3)|~class_OrderedGroup_Opordered__ab__group__add(X3)|~c_HOL_Oord__class_Oless(X1,X2,X3))).
% 0.19/0.51 cnf(i_0_976, 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(c_in(X4,X1,X3))|~hBOOL(c_in(X4,X2,X3)))).
% 0.19/0.51 cnf(i_0_798, plain, (c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X1),c_HOL_Oplus__class_Oplus(X2,X2,X1),X1)|~c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X1),X2,X1)|~class_OrderedGroup_Olordered__ab__group__add(X1))).
% 0.19/0.51 cnf(i_0_616, plain, (c_HOL_Oord__class_Oless(c_HOL_Oplus__class_Oplus(X1,X1,X2),c_HOL_Ozero__class_Ozero(X2),X2)|~c_HOL_Oord__class_Oless(X1,c_HOL_Ozero__class_Ozero(X2),X2)|~class_OrderedGroup_Olordered__ab__group__add(X2))).
% 0.19/0.51 cnf(i_0_967, plain, (c_lessequals(X1,X2,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))!=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)))).
% 0.19/0.51 cnf(i_0_1086, 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))).
% 0.19/0.51 cnf(i_0_1106, plain, (c_Lattices_Olower__semilattice__class_Oinf(c_SetInterval_Oord__class_OgreaterThanLessThan(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))).
% 0.19/0.51 cnf(i_0_873, plain, (hAPP(X1,X2)=X3|~hBOOL(c_in(X2,c_Set_Ovimage(X1,c_Set_Oinsert(X3,c_Orderings_Obot__class_Obot(tc_fun(X4,tc_bool)),X4),X5,X4),X5)))).
% 0.19/0.51 cnf(i_0_852, plain, (c_lessequals(c_HOL_Ozero__class_Ozero(X1),c_HOL_Oplus__class_Oplus(X2,X2,X1),X1)|~c_lessequals(c_HOL_Ozero__class_Ozero(X1),X2,X1)|~class_OrderedGroup_Olordered__ab__group__add(X1))).
% 0.19/0.51 cnf(i_0_1094, 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))).
% 0.19/0.51 cnf(i_0_842, plain, (c_HOL_Oplus__class_Oplus(X1,X2,X3)=X4|c_HOL_Oplus__class_Oplus(X1,c_HOL_Oplus__class_Oplus(X5,X2,X3),X3)!=c_HOL_Oplus__class_Oplus(X5,X4,X3)|~class_OrderedGroup_Oab__group__add(X3))).
% 0.19/0.51 cnf(i_0_1024, plain, (hBOOL(c_in(X1,X2,X3))|~c_lessequals(X4,X2,tc_fun(X3,tc_bool))|~hBOOL(c_in(X1,X4,X3)))).
% 0.19/0.51 cnf(i_0_1104, 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))).
% 0.19/0.51 cnf(i_0_929, plain, (c_lessequals(c_Lattices_Oupper__semilattice__class_Osup(X1,X2,tc_fun(X3,tc_bool)),X4,tc_fun(X3,tc_bool))|~c_lessequals(X2,X4,tc_fun(X3,tc_bool))|~c_lessequals(X1,X4,tc_fun(X3,tc_bool)))).
% 0.19/0.51 cnf(i_0_878, plain, (c_lessequals(c_Set_Oinsert(X1,X2,X3),c_Set_Oinsert(X1,X4,X3),tc_fun(X3,tc_bool))|~c_lessequals(X2,X4,tc_fun(X3,tc_bool)))).
% 0.19/0.51 cnf(i_0_800, plain, (c_lessequals(c_HOL_Ominus__class_Ominus(X1,X2,tc_fun(X3,tc_bool)),X4,tc_fun(X3,tc_bool))|~c_lessequals(X1,c_Lattices_Oupper__semilattice__class_Osup(X2,X4,tc_fun(X3,tc_bool)),tc_fun(X3,tc_bool)))).
% 0.19/0.51 cnf(i_0_1008, plain, (c_lessequals(c_HOL_Oplus__class_Oplus(X1,X1,X2),c_HOL_Ozero__class_Ozero(X2),X2)|~c_lessequals(X1,c_HOL_Ozero__class_Ozero(X2),X2)|~class_OrderedGroup_Olordered__ab__group__add(X2))).
% 0.19/0.51 cnf(i_0_673, plain, (c_HOL_Oplus__class_Oplus(c_HOL_Oplus__class_Oplus(X1,X2,X3),X4,X3)=c_HOL_Oplus__class_Oplus(X1,c_HOL_Oplus__class_Oplus(X2,X4,X3),X3)|~class_OrderedGroup_Ocomm__monoid__add(X3))).
% 0.19/0.51 cnf(i_0_613, plain, (c_HOL_Oord__class_Oless(c_HOL_Oplus__class_Oplus(X1,X1,X2),c_HOL_Ozero__class_Ozero(X2),X2)|~c_HOL_Oord__class_Oless(X1,c_HOL_Ozero__class_Ozero(X2),X2)|~class_Ring__and__Field_Oordered__idom(X2))).
% 0.19/0.51 cnf(i_0_765, 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))).
% 0.19/0.51 cnf(i_0_951, plain, (c_Lattices_Olower__semilattice__class_Oinf(c_SetInterval_Oord__class_OatLeastAtMost(X1,X2,X3),c_SetInterval_Oord__class_OgreaterThanLessThan(X2,X4,X3),tc_fun(X3,tc_bool))=c_Orderings_Obot__class_Obot(tc_fun(X3,tc_bool))|~class_Orderings_Oorder(X3))).
% 0.19/0.51 cnf(i_0_1078, plain, (X1=c_Nitpick_Osko__Nitpick__XEx1__def__1__3(c_Set_Oinsert(X2,c_Orderings_Obot__class_Obot(tc_fun(X3,tc_bool)),X3),X3)|~hBOOL(hAPP(c_Set_Oinsert(X2,c_Orderings_Obot__class_Obot(tc_fun(X3,tc_bool)),X3),X1)))).
% 0.19/0.51 cnf(i_0_782, 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)))).
% 0.19/0.51 cnf(i_0_818, 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))).
% 0.19/0.51 cnf(i_0_949, plain, (c_Lattices_Olower__semilattice__class_Oinf(c_SetInterval_Oord__class_OgreaterThanAtMost(X1,X2,X3),c_SetInterval_Oord__class_OgreaterThanLessThan(X2,X4,X3),tc_fun(X3,tc_bool))=c_Orderings_Obot__class_Obot(tc_fun(X3,tc_bool))|~class_Orderings_Oorder(X3))).
% 0.19/0.51 cnf(i_0_898, 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))).
% 0.19/0.51 cnf(i_0_922, 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))).
% 0.19/0.51 cnf(i_0_950, plain, (c_Lattices_Olower__semilattice__class_Oinf(c_SetInterval_Oord__class_OgreaterThanLessThan(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))).
% 0.19/0.51 cnf(i_0_877, 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))).
% 0.19/0.51 cnf(i_0_1017, 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))).
% 0.19/0.51 cnf(i_0_674, plain, (c_HOL_Oplus__class_Oplus(c_HOL_Oplus__class_Oplus(X1,X2,X3),X4,X3)=c_HOL_Oplus__class_Oplus(X1,c_HOL_Oplus__class_Oplus(X2,X4,X3),X3)|~class_Ring__and__Field_Ocomm__semiring__1(X3))).
% 0.19/0.51 cnf(i_0_964, plain, (c_lessequals(X1,X2,X3)|~class_Orderings_Oorder(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))).
% 0.19/0.51 cnf(i_0_963, plain, (c_lessequals(X1,X2,X3)|~class_Orderings_Oorder(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))).
% 0.19/0.51 cnf(i_0_726, plain, (hBOOL(c_in(X1,c_Set_Ovimage(X2,X3,X4,X5),X4))|~hBOOL(c_in(hAPP(X2,X1),X3,X5)))).
% 0.19/0.51 cnf(i_0_759, 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)))).
% 0.19/0.51 cnf(i_0_692, plain, (c_Finite__Set_Osetsum(X1,c_SetInterval_Oord__class_OgreaterThanLessThan(c_HOL_Ozero__class_Ozero(tc_nat),X2,tc_nat),tc_nat,X3)=c_Finite__Set_Osetsum(X1,c_SetInterval_Oord__class_OatLeastLessThan(c_HOL_Ozero__class_Ozero(tc_nat),X2,tc_nat),tc_nat,X3)|hAPP(X1,c_HOL_Ozero__class_Ozero(tc_nat))!=c_HOL_Ozero__class_Ozero(X3)|~class_OrderedGroup_Ocomm__monoid__add(X3))).
% 0.19/0.51 cnf(i_0_850, 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(c_in(X1,X4,X3)))).
% 0.19/0.51 cnf(i_0_612, plain, (X1=c_HOL_Ozero__class_Ozero(X2)|c_HOL_Oplus__class_Oplus(X3,X1,X2)!=c_HOL_Ozero__class_Ozero(X2)|~c_lessequals(c_HOL_Ozero__class_Ozero(X2),X1,X2)|~c_lessequals(c_HOL_Ozero__class_Ozero(X2),X3,X2)|~class_OrderedGroup_Opordered__comm__monoid__add(X2))).
% 0.19/0.51 cnf(i_0_611, plain, (X1=c_HOL_Ozero__class_Ozero(X2)|c_HOL_Oplus__class_Oplus(X1,X3,X2)!=c_HOL_Ozero__class_Ozero(X2)|~c_lessequals(c_HOL_Ozero__class_Ozero(X2),X3,X2)|~c_lessequals(c_HOL_Ozero__class_Ozero(X2),X1,X2)|~class_OrderedGroup_Opordered__comm__monoid__add(X2))).
% 0.19/0.51 cnf(i_0_928, plain, (hBOOL(c_in(X1,X2,X3))|hBOOL(c_in(X1,X4,X3))|~hBOOL(c_in(X1,c_Lattices_Oupper__semilattice__class_Osup(X4,X2,tc_fun(X3,tc_bool)),X3)))).
% 0.19/0.51 cnf(i_0_769, plain, (c_HOL_Oord__class_Oless(X1,c_HOL_Oplus__class_Oplus(X2,X3,X4),X4)|~class_Ring__and__Field_Oordered__semidom(X4)|~c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X4),X2,X4)|~c_HOL_Oord__class_Oless(X1,X3,X4))).
% 0.19/0.51 cnf(i_0_676, plain, (c_HOL_Oplus__class_Oplus(c_HOL_Oplus__class_Oplus(X1,X2,X3),X4,X3)=c_HOL_Oplus__class_Oplus(X1,c_HOL_Oplus__class_Oplus(X2,X4,X3),X3)|~class_OrderedGroup_Oab__semigroup__add(X3))).
% 0.19/0.51 cnf(i_0_1002, 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(c_in(X1,X4,X3)))).
% 0.19/0.51 cnf(i_0_624, plain, (hAPP(X1,X2)=c_Orderings_Obot__class_Obot(tc_fun(X3,tc_bool))|c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(X4,X1,X5,tc_fun(X3,tc_bool))!=c_Orderings_Obot__class_Obot(tc_fun(X3,tc_bool))|~hBOOL(c_in(X2,X4,X5)))).
% 0.19/0.51 cnf(i_0_772, plain, (c_Lattices_Olower__semilattice__class_Oinf(c_SetInterval_Oord__class_OatLeastAtMost(X1,X2,X3),c_SetInterval_Oord__class_OgreaterThanAtMost(X2,X4,X3),tc_fun(X3,tc_bool))=c_Orderings_Obot__class_Obot(tc_fun(X3,tc_bool))|~class_Orderings_Oorder(X3))).
% 0.19/0.51 cnf(i_0_618, plain, (c_Lattices_Olower__semilattice__class_Oinf(c_Lattices_Olower__semilattice__class_Oinf(X1,X2,X3),X4,X3)=c_Lattices_Olower__semilattice__class_Oinf(X1,c_Lattices_Olower__semilattice__class_Oinf(X2,X4,X3),X3)|~class_Lattices_Olattice(X3))).
% 0.19/0.51 cnf(i_0_622, 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))).
% 0.19/0.51 cnf(i_0_828, 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)))).
% 0.19/0.51 cnf(i_0_829, 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)))).
% 0.19/0.51 cnf(i_0_651, plain, (c_lessequals(c_HOL_Oplus__class_Oplus(X1,X2,X3),c_HOL_Oplus__class_Oplus(X4,X2,X3),X3)|~class_OrderedGroup_Opordered__ab__semigroup__add(X3)|~c_lessequals(X1,X4,X3))).
% 0.19/0.51 cnf(i_0_723, plain, (c_Lattices_Olower__semilattice__class_Oinf(c_SetInterval_Oord__class_OgreaterThanAtMost(X1,X2,X3),c_SetInterval_Oord__class_OgreaterThanAtMost(X2,X4,X3),tc_fun(X3,tc_bool))=c_Orderings_Obot__class_Obot(tc_fun(X3,tc_bool))|~class_Orderings_Oorder(X3))).
% 0.19/0.51 cnf(i_0_1138, 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))).
% 0.19/0.51 cnf(i_0_1134, 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))).
% 0.19/0.51 cnf(i_0_787, plain, (c_HOL_Ominus__class_Ominus(X1,c_HOL_Ominus__class_Ominus(X2,X3,tc_fun(X4,tc_bool)),tc_fun(X4,tc_bool))=X3|~c_lessequals(X3,X1,tc_fun(X4,tc_bool))|~c_lessequals(X1,X2,tc_fun(X4,tc_bool)))).
% 0.19/0.51 cnf(i_0_717, plain, (c_lessequals(X1,X2,tc_fun(X3,tc_bool))|hBOOL(c_in(X4,X1,X3))|~c_lessequals(X1,c_Set_Oinsert(X4,X2,X3),tc_fun(X3,tc_bool)))).
% 0.19/0.51 cnf(i_0_653, plain, (c_HOL_Oplus__class_Oplus(c_Lattices_Oupper__semilattice__class_Osup(X1,X2,X3),c_Lattices_Olower__semilattice__class_Oinf(X1,X2,X3),X3)=c_HOL_Oplus__class_Oplus(X1,X2,X3)|~class_OrderedGroup_Olordered__ab__group__add(X3))).
% 0.19/0.51 cnf(i_0_755, plain, (c_lessequals(c_HOL_Oplus__class_Oplus(X1,X2,X3),c_HOL_Oplus__class_Oplus(X4,X2,X3),X3)|~class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(X3)|~c_lessequals(X1,X4,X3))).
% 0.19/0.51 cnf(i_0_650, plain, (c_lessequals(c_HOL_Oplus__class_Oplus(X1,X2,X3),c_HOL_Oplus__class_Oplus(X1,X4,X3),X3)|~class_OrderedGroup_Opordered__ab__semigroup__add(X3)|~c_lessequals(X2,X4,X3))).
% 0.19/0.51 cnf(i_0_753, plain, (c_lessequals(c_HOL_Oplus__class_Oplus(X1,X2,X3),c_HOL_Oplus__class_Oplus(X1,X4,X3),X3)|~class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(X3)|~c_lessequals(X2,X4,X3))).
% 0.19/0.51 cnf(i_0_1015, plain, (c_HOL_Oord__class_Oless(c_HOL_Oplus__class_Oplus(X1,X2,X3),c_HOL_Oplus__class_Oplus(X4,X2,X3),X3)|~class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(X3)|~c_HOL_Oord__class_Oless(X1,X4,X3))).
% 0.19/0.51 cnf(i_0_1041, plain, (hBOOL(c_in(X1,c_Lattices_Olower__semilattice__class_Oinf(X2,X3,tc_fun(X4,tc_bool)),X4))|~hBOOL(c_in(X1,X2,X4))|~hBOOL(hAPP(X3,X1)))).
% 0.19/0.51 cnf(i_0_1108, plain, (c_Set_Oinsert(X1,c_SetInterval_Oord__class_OgreaterThanLessThan(X1,X2,X3),X3)=c_SetInterval_Oord__class_OatLeastLessThan(X1,X2,X3)|~class_Orderings_Olinorder(X3)|~c_HOL_Oord__class_Oless(X1,X2,X3))).
% 0.19/0.51 cnf(i_0_675, plain, (c_HOL_Oplus__class_Oplus(X1,c_HOL_Oplus__class_Oplus(X2,X3,X4),X4)=c_HOL_Oplus__class_Oplus(X2,c_HOL_Oplus__class_Oplus(X1,X3,X4),X4)|~class_OrderedGroup_Oab__group__add(X4))).
% 0.19/0.51 cnf(i_0_1016, plain, (c_HOL_Oord__class_Oless(c_HOL_Oplus__class_Oplus(X1,X2,X3),c_HOL_Oplus__class_Oplus(X4,X2,X3),X3)|~class_OrderedGroup_Opordered__cancel__ab__semigroup__add(X3)|~c_HOL_Oord__class_Oless(X1,X4,X3))).
% 0.19/0.51 cnf(i_0_1012, plain, (c_HOL_Oord__class_Oless(c_HOL_Oplus__class_Oplus(X1,X2,X3),c_HOL_Oplus__class_Oplus(X1,X4,X3),X3)|~class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(X3)|~c_HOL_Oord__class_Oless(X2,X4,X3))).
% 0.19/0.51 cnf(i_0_1013, plain, (c_HOL_Oord__class_Oless(c_HOL_Oplus__class_Oplus(X1,X2,X3),c_HOL_Oplus__class_Oplus(X1,X4,X3),X3)|~class_OrderedGroup_Opordered__cancel__ab__semigroup__add(X3)|~c_HOL_Oord__class_Oless(X2,X4,X3))).
% 0.19/0.51 cnf(i_0_845, plain, (c_lessequals(c_HOL_Ozero__class_Ozero(X1),c_HOL_Oplus__class_Oplus(X2,X3,X1),X1)|~c_lessequals(c_HOL_Ozero__class_Ozero(X1),X3,X1)|~c_lessequals(c_HOL_Ozero__class_Ozero(X1),X2,X1)|~class_OrderedGroup_Opordered__comm__monoid__add(X1))).
% 0.19/0.51 cnf(i_0_662, 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(c_in(X2,X3,X4)))).
% 0.19/0.51 cnf(i_0_944, plain, (c_lessequals(c_Lattices_Oupper__semilattice__class_Osup(X1,X2,tc_fun(X3,tc_bool)),c_Lattices_Oupper__semilattice__class_Osup(X4,X5,tc_fun(X3,tc_bool)),tc_fun(X3,tc_bool))|~c_lessequals(X2,X5,tc_fun(X3,tc_bool))|~c_lessequals(X1,X4,tc_fun(X3,tc_bool)))).
% 0.19/0.51 cnf(i_0_663, 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(c_in(X2,X3,X4)))).
% 0.19/0.51 cnf(i_0_966, plain, (c_Lattices_Olower__semilattice__class_Oinf(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(c_Lattices_Olower__semilattice__class_Oinf(X1,X2,tc_fun(X4,tc_bool)),X3,tc_fun(X4,tc_bool))|~c_lessequals(X3,X1,tc_fun(X4,tc_bool)))).
% 0.19/0.51 cnf(i_0_672, plain, (c_HOL_Oplus__class_Oplus(X1,c_HOL_Oplus__class_Oplus(X2,X3,X4),X4)=c_HOL_Oplus__class_Oplus(X2,c_HOL_Oplus__class_Oplus(X1,X3,X4),X4)|~class_OrderedGroup_Ocomm__monoid__add(X4))).
% 0.19/0.51 cnf(i_0_914, 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))).
% 0.19/0.51 cnf(i_0_827, plain, (c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X1),c_HOL_Oplus__class_Oplus(X2,X3,X1),X1)|~c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X1),X2,X1)|~c_lessequals(c_HOL_Ozero__class_Ozero(X1),X3,X1)|~class_OrderedGroup_Opordered__comm__monoid__add(X1))).
% 0.19/0.51 cnf(i_0_826, plain, (c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X1),c_HOL_Oplus__class_Oplus(X2,X3,X1),X1)|~c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X1),X3,X1)|~c_lessequals(c_HOL_Ozero__class_Ozero(X1),X2,X1)|~class_OrderedGroup_Opordered__comm__monoid__add(X1))).
% 0.19/0.51 cnf(i_0_984, plain, (c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X1),c_HOL_Oplus__class_Oplus(X2,X3,X1),X1)|~c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X1),X3,X1)|~c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X1),X2,X1)|~class_OrderedGroup_Opordered__comm__monoid__add(X1))).
% 0.19/0.51 cnf(i_0_1033, plain, (c_lessequals(c_HOL_Oplus__class_Oplus(X1,X2,X3),c_HOL_Ozero__class_Ozero(X3),X3)|~c_lessequals(X2,c_HOL_Ozero__class_Ozero(X3),X3)|~c_lessequals(X1,c_HOL_Ozero__class_Ozero(X3),X3)|~class_OrderedGroup_Opordered__comm__monoid__add(X3))).
% 0.19/0.51 cnf(i_0_913, 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))).
% 0.19/0.51 cnf(i_0_876, 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(c_in(X1,X2,X3)))).
% 0.19/0.51 cnf(i_0_1045, plain, (hBOOL(c_in(X1,c_Lattices_Olower__semilattice__class_Oinf(X2,X3,tc_fun(X4,tc_bool)),X4))|~hBOOL(c_in(X1,X3,X4))|~hBOOL(c_in(X1,X2,X4)))).
% 0.19/0.51 cnf(i_0_1069, plain, (hAPP(X1,c_Set_Oinsert(X2,c_Orderings_Obot__class_Obot(tc_fun(X3,tc_bool)),X3))=X2|~c_Complete__Lattice_Ocomplete__lattice(X4,X1,X5,X6,X7,X8,X9,X10,X3))).
% 0.19/0.51 cnf(i_0_679, plain, (c_HOL_Oplus__class_Oplus(X1,c_HOL_Oplus__class_Oplus(X2,X3,X4),X4)=c_HOL_Oplus__class_Oplus(X2,c_HOL_Oplus__class_Oplus(X1,X3,X4),X4)|~class_Ring__and__Field_Ocomm__semiring__1(X4))).
% 0.19/0.51 cnf(i_0_970, 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))).
% 0.19/0.51 cnf(i_0_625, plain, (c_HOL_Oord__class_Oless(c_HOL_Oplus__class_Oplus(X1,X2,X3),c_HOL_Ozero__class_Ozero(X3),X3)|~c_HOL_Oord__class_Oless(X1,c_HOL_Ozero__class_Ozero(X3),X3)|~c_lessequals(X2,c_HOL_Ozero__class_Ozero(X3),X3)|~class_OrderedGroup_Opordered__comm__monoid__add(X3))).
% 0.19/0.51 cnf(i_0_626, plain, (c_HOL_Oord__class_Oless(c_HOL_Oplus__class_Oplus(X1,X2,X3),c_HOL_Ozero__class_Ozero(X3),X3)|~c_HOL_Oord__class_Oless(X2,c_HOL_Ozero__class_Ozero(X3),X3)|~c_lessequals(X1,c_HOL_Ozero__class_Ozero(X3),X3)|~class_OrderedGroup_Opordered__comm__monoid__add(X3))).
% 0.19/0.51 cnf(i_0_706, plain, (c_HOL_Oord__class_Oless(c_HOL_Oplus__class_Oplus(X1,X2,X3),c_HOL_Ozero__class_Ozero(X3),X3)|~c_HOL_Oord__class_Oless(X2,c_HOL_Ozero__class_Ozero(X3),X3)|~c_HOL_Oord__class_Oless(X1,c_HOL_Ozero__class_Ozero(X3),X3)|~class_OrderedGroup_Opordered__comm__monoid__add(X3))).
% 0.19/0.51 cnf(i_0_655, plain, (c_lessequals(X1,c_HOL_Oplus__class_Oplus(X2,X3,X4),X4)|~class_OrderedGroup_Ocomm__monoid__add(X4)|~class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(X4)|~c_lessequals(c_HOL_Ozero__class_Ozero(X4),X2,X4)|~c_lessequals(X1,X3,X4))).
% 0.19/0.51 cnf(i_0_734, 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(c_in(X1,X4,X3)))).
% 0.19/0.51 cnf(i_0_1070, plain, (hAPP(X1,c_Set_Oinsert(X2,c_Orderings_Obot__class_Obot(tc_fun(X3,tc_bool)),X3))=X2|~c_Complete__Lattice_Ocomplete__lattice(X1,X4,X5,X6,X7,X8,X9,X10,X3))).
% 0.19/0.51 cnf(i_0_665, 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(c_in(X2,X1,X4)))).
% 0.19/0.51 cnf(i_0_619, plain, (c_Lattices_Olower__semilattice__class_Oinf(X1,c_Lattices_Olower__semilattice__class_Oinf(X2,X3,X4),X4)=c_Lattices_Olower__semilattice__class_Oinf(X2,c_Lattices_Olower__semilattice__class_Oinf(X1,X3,X4),X4)|~class_Lattices_Olattice(X4))).
% 0.19/0.51 cnf(i_0_722, 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(c_in(X2,X1,X4)))).
% 0.19/0.51 cnf(i_0_654, plain, (c_lessequals(X1,c_HOL_Oplus__class_Oplus(X2,X3,X4),X4)|~class_OrderedGroup_Ocomm__monoid__add(X4)|~class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(X4)|~c_lessequals(c_HOL_Ozero__class_Ozero(X4),X3,X4)|~c_lessequals(X1,X2,X4))).
% 0.19/0.51 cnf(i_0_953, plain, (c_HOL_Oord__class_Oless(X1,c_HOL_Oplus__class_Oplus(X2,X3,X4),X4)|~class_OrderedGroup_Ocomm__monoid__add(X4)|~class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(X4)|~c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X4),X2,X4)|~c_lessequals(X1,X3,X4))).
% 0.19/0.51 cnf(i_0_689, plain, (c_HOL_Oord__class_Oless(X1,c_HOL_Oplus__class_Oplus(X2,X3,X4),X4)|~class_OrderedGroup_Ocomm__monoid__add(X4)|~class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(X4)|~c_HOL_Oord__class_Oless(X1,X3,X4)|~c_lessequals(c_HOL_Ozero__class_Ozero(X4),X2,X4))).
% 0.19/0.51 cnf(i_0_1031, plain, (c_lessequals(X1,c_HOL_Oplus__class_Oplus(X2,X3,X4),X4)|~class_OrderedGroup_Opordered__ab__group__add(X4)|~c_lessequals(X1,c_HOL_Oplus__class_Oplus(X2,X5,X4),X4)|~c_lessequals(X5,X3,X4))).
% 0.19/0.51 cnf(i_0_721, 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(c_in(X1,X4,X3)))).
% 0.19/0.51 cnf(i_0_1040, 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))).
% 0.19/0.51 cnf(i_0_1092, 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))).
% 0.19/0.51 cnf(i_0_1097, plain, (c_Lattices_Oupper__semilattice__class_Osup(c_SetInterval_Oord__class_OgreaterThanLessThan(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_OgreaterThanAtMost(X1,X2,X3)|~class_Orderings_Olinorder(X3)|~c_HOL_Oord__class_Oless(X1,X2,X3))).
% 0.19/0.51 cnf(i_0_623, 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))).
% 0.19/0.51 cnf(i_0_920, plain, (c_Lattices_Oupper__semilattice__class_Osup(c_HOL_Oplus__class_Oplus(X1,X2,X3),c_HOL_Oplus__class_Oplus(X1,X4,X3),X3)=c_HOL_Oplus__class_Oplus(X1,c_Lattices_Oupper__semilattice__class_Osup(X2,X4,X3),X3)|~class_OrderedGroup_Olordered__ab__group__add(X3))).
% 0.19/0.51 cnf(i_0_848, plain, (c_lessequals(c_HOL_Oplus__class_Oplus(X1,X2,X3),c_HOL_Oplus__class_Oplus(X4,X5,X3),X3)|~class_OrderedGroup_Opordered__ab__semigroup__add(X3)|~c_lessequals(X2,X5,X3)|~c_lessequals(X1,X4,X3))).
% 0.19/0.51 cnf(i_0_744, plain, (c_HOL_Oord__class_Oless(c_HOL_Oplus__class_Oplus(X1,X2,X3),c_HOL_Oplus__class_Oplus(X4,X5,X3),X3)|~class_OrderedGroup_Opordered__cancel__ab__semigroup__add(X3)|~c_HOL_Oord__class_Oless(X1,X4,X3)|~c_lessequals(X2,X5,X3))).
% 0.19/0.51 cnf(i_0_745, plain, (c_HOL_Oord__class_Oless(c_HOL_Oplus__class_Oplus(X1,X2,X3),c_HOL_Oplus__class_Oplus(X4,X5,X3),X3)|~class_OrderedGroup_Opordered__cancel__ab__semigroup__add(X3)|~c_HOL_Oord__class_Oless(X2,X5,X3)|~c_lessequals(X1,X4,X3))).
% 0.19/0.51 cnf(i_0_987, plain, (c_HOL_Oord__class_Oless(c_HOL_Oplus__class_Oplus(X1,X2,X3),c_HOL_Oplus__class_Oplus(X4,X5,X3),X3)|~class_OrderedGroup_Opordered__cancel__ab__semigroup__add(X3)|~c_HOL_Oord__class_Oless(X2,X5,X3)|~c_HOL_Oord__class_Oless(X1,X4,X3))).
% 0.19/0.51 cnf(i_0_919, plain, (c_Lattices_Oupper__semilattice__class_Osup(c_HOL_Oplus__class_Oplus(X1,X2,X3),c_HOL_Oplus__class_Oplus(X1,X4,X3),X3)=c_HOL_Oplus__class_Oplus(X1,c_Lattices_Oupper__semilattice__class_Osup(X2,X4,X3),X3)|~class_OrderedGroup_Olordered__ab__group__add__join(X3))).
% 0.19/0.51 cnf(i_0_998, 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(c_in(X1,X2,X4)))).
% 0.19/0.51 cnf(i_0_999, 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(c_in(X1,X3,X4)))).
% 0.19/0.51 cnf(i_0_678, plain, (c_HOL_Oplus__class_Oplus(c_HOL_Oplus__class_Oplus(X1,X2,X3),X4,X3)=c_HOL_Oplus__class_Oplus(c_HOL_Oplus__class_Oplus(X1,X4,X3),X2,X3)|~class_Ring__and__Field_Ocomm__semiring__1(X3))).
% 0.19/0.51 cnf(i_0_917, 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))).
% 0.19/0.51 cnf(i_0_834, plain, (c_Lattices_Olower__semilattice__class_Oinf(c_HOL_Oplus__class_Oplus(X1,X2,X3),c_HOL_Oplus__class_Oplus(X1,X4,X3),X3)=c_HOL_Oplus__class_Oplus(X1,c_Lattices_Olower__semilattice__class_Oinf(X2,X4,X3),X3)|~class_OrderedGroup_Olordered__ab__group__add(X3))).
% 0.19/0.51 cnf(i_0_835, plain, (c_Lattices_Olower__semilattice__class_Oinf(c_HOL_Oplus__class_Oplus(X1,X2,X3),c_HOL_Oplus__class_Oplus(X1,X4,X3),X3)=c_HOL_Oplus__class_Oplus(X1,c_Lattices_Olower__semilattice__class_Oinf(X2,X4,X3),X3)|~class_OrderedGroup_Olordered__ab__group__add__meet(X3))).
% 0.19/0.51 cnf(i_0_833, plain, (c_Lattices_Olower__semilattice__class_Oinf(c_HOL_Oplus__class_Oplus(X1,X2,X3),c_HOL_Oplus__class_Oplus(X4,X2,X3),X3)=c_HOL_Oplus__class_Oplus(c_Lattices_Olower__semilattice__class_Oinf(X1,X4,X3),X2,X3)|~class_OrderedGroup_Olordered__ab__group__add(X3))).
% 0.19/0.51 cnf(i_0_836, plain, (c_Lattices_Olower__semilattice__class_Oinf(c_HOL_Oplus__class_Oplus(X1,X2,X3),c_HOL_Oplus__class_Oplus(X4,X2,X3),X3)=c_HOL_Oplus__class_Oplus(c_Lattices_Olower__semilattice__class_Oinf(X1,X4,X3),X2,X3)|~class_OrderedGroup_Olordered__ab__group__add__meet(X3))).
% 0.19/0.51 cnf(i_0_921, plain, (c_Lattices_Oupper__semilattice__class_Osup(c_HOL_Oplus__class_Oplus(X1,X2,X3),c_HOL_Oplus__class_Oplus(X4,X2,X3),X3)=c_HOL_Oplus__class_Oplus(c_Lattices_Oupper__semilattice__class_Osup(X1,X4,X3),X2,X3)|~class_OrderedGroup_Olordered__ab__group__add(X3))).
% 0.19/0.51 cnf(i_0_713, plain, (hBOOL(c_in(X1,c_HOL_Ominus__class_Ominus(X2,X3,tc_fun(X4,tc_bool)),X4))|hBOOL(c_in(X1,X3,X4))|~hBOOL(c_in(X1,X2,X4)))).
% 0.19/0.51 cnf(i_0_891, plain, (X1=X2|hBOOL(c_in(X3,X1,X4))|hBOOL(c_in(X3,X2,X4))|c_Set_Oinsert(X3,X1,X4)!=c_Set_Oinsert(X3,X2,X4))).
% 0.19/0.51 cnf(i_0_918, plain, (c_Lattices_Oupper__semilattice__class_Osup(c_HOL_Oplus__class_Oplus(X1,X2,X3),c_HOL_Oplus__class_Oplus(X4,X2,X3),X3)=c_HOL_Oplus__class_Oplus(c_Lattices_Oupper__semilattice__class_Osup(X1,X4,X3),X2,X3)|~class_OrderedGroup_Olordered__ab__group__add__join(X3))).
% 0.19/0.51 cnf(i_0_916, 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))).
% 0.19/0.51 cnf(i_0_965, plain, (c_lessequals(c_SetInterval_Oord__class_OatLeastAtMost(X1,X2,X3),c_SetInterval_Oord__class_OatLeastAtMost(X4,X5,X3),tc_fun(X3,tc_bool))|~class_Orderings_Oorder(X3)|~c_lessequals(X4,X1,X3)|~c_lessequals(X2,X5,X3))).
% 0.19/0.51 cnf(i_0_807, plain, (hBOOL(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(X1,X2,X3,tc_fun(X4,tc_bool)),X5))|~hBOOL(hAPP(hAPP(X2,X6),X5))|~hBOOL(c_in(X6,X1,X3)))).
% 0.19/0.51 cnf(i_0_821, plain, (c_lessequals(c_Set_Ovimage(X1,X2,X3,X4),c_Set_Ovimage(X1,X5,X3,X4),tc_fun(X3,tc_bool))|~c_lessequals(X2,X5,tc_fun(X4,tc_bool)))).
% 0.19/0.51 cnf(i_0_893, plain, (c_Set_Oinsert(X1,c_SetInterval_Oord__class_OgreaterThanAtMost(X1,X2,X3),X3)=c_SetInterval_Oord__class_OatLeastAtMost(X1,X2,X3)|~class_Orderings_Olinorder(X3)|~c_lessequals(X1,X2,X3))).
% 0.19/0.51 cnf(i_0_729, plain, (hBOOL(hAPP(hAPP(X1,X2),hAPP(X3,X4)))|~c_Complete__Lattice_Ocomplete__lattice(X5,X3,X1,X6,X7,X8,X9,X10,X11)|~hBOOL(c_in(X2,X4,X11)))).
% 0.19/0.51 cnf(i_0_730, plain, (hBOOL(hAPP(hAPP(X1,hAPP(X2,X3)),X4))|~c_Complete__Lattice_Ocomplete__lattice(X2,X5,X1,X6,X7,X8,X9,X10,X11)|~hBOOL(c_in(X4,X3,X11)))).
% 0.19/0.51 cnf(i_0_710, plain, (c_HOL_Oplus__class_Oplus(c_HOL_Ominus__class_Ominus(X1,X2,X3),c_HOL_Ominus__class_Ominus(X4,X5,X3),X3)=c_HOL_Ominus__class_Ominus(c_HOL_Oplus__class_Oplus(X1,X4,X3),c_HOL_Oplus__class_Oplus(X2,X5,X3),X3)|~class_OrderedGroup_Oab__group__add(X3))).
% 0.19/0.51 cnf(i_0_958, 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(c_in(X2,X5,X6)))).
% 0.19/0.51 cnf(i_0_1096, 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))).
% 0.19/0.51 cnf(i_0_1054, plain, (c_Lattices_Oupper__semilattice__class_Osup(c_SetInterval_Oord__class_OgreaterThanLessThan(X1,X2,X3),c_SetInterval_Oord__class_OatLeastLessThan(X2,X4,X3),tc_fun(X3,tc_bool))=c_SetInterval_Oord__class_OgreaterThanLessThan(X1,X4,X3)|~class_Orderings_Olinorder(X3)|~c_HOL_Oord__class_Oless(X1,X2,X3)|~c_lessequals(X2,X4,X3))).
% 0.19/0.51 cnf(i_0_975, plain, (c_lessequals(c_HOL_Ominus__class_Ominus(X1,X2,tc_fun(X3,tc_bool)),c_HOL_Ominus__class_Ominus(X4,X5,tc_fun(X3,tc_bool)),tc_fun(X3,tc_bool))|~c_lessequals(X5,X2,tc_fun(X3,tc_bool))|~c_lessequals(X1,X4,tc_fun(X3,tc_bool)))).
% 0.19/0.51 cnf(i_0_773, 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)))).
% 0.19/0.51 cnf(i_0_841, plain, (c_Lattices_Oupper__semilattice__class_Osup(c_SetInterval_Oord__class_OatLeastAtMost(X1,X2,X3),c_SetInterval_Oord__class_OgreaterThanAtMost(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))).
% 0.19/0.51 cnf(i_0_819, plain, (hBOOL(c_in(X1,c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(X2,X3,X4,tc_fun(X5,tc_bool)),X5))|~hBOOL(c_in(X1,hAPP(X3,X6),X5))|~hBOOL(c_in(X6,X2,X4)))).
% 0.19/0.51 cnf(i_0_952, plain, (c_Lattices_Oupper__semilattice__class_Osup(c_SetInterval_Oord__class_OatLeastAtMost(X1,X2,X3),c_SetInterval_Oord__class_OgreaterThanLessThan(X2,X4,X3),tc_fun(X3,tc_bool))=c_SetInterval_Oord__class_OatLeastLessThan(X1,X4,X3)|~class_Orderings_Olinorder(X3)|~c_HOL_Oord__class_Oless(X2,X4,X3)|~c_lessequals(X1,X2,X3))).
% 0.19/0.51 cnf(i_0_656, plain, (c_Lattices_Oupper__semilattice__class_Osup(c_SetInterval_Oord__class_OgreaterThanAtMost(X1,X2,X3),c_SetInterval_Oord__class_OgreaterThanAtMost(X2,X4,X3),tc_fun(X3,tc_bool))=c_SetInterval_Oord__class_OgreaterThanAtMost(X1,X4,X3)|~class_Orderings_Olinorder(X3)|~c_lessequals(X2,X4,X3)|~c_lessequals(X1,X2,X3))).
% 0.19/0.51 cnf(i_0_664, 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(c_in(X2,X1,X3)))).
% 0.19/0.51 cnf(i_0_1039, plain, (c_Lattices_Oupper__semilattice__class_Osup(c_SetInterval_Oord__class_OgreaterThanAtMost(X1,X2,X3),c_SetInterval_Oord__class_OgreaterThanLessThan(X2,X4,X3),tc_fun(X3,tc_bool))=c_SetInterval_Oord__class_OgreaterThanLessThan(X1,X4,X3)|~class_Orderings_Olinorder(X3)|~c_HOL_Oord__class_Oless(X2,X4,X3)|~c_lessequals(X1,X2,X3))).
% 0.19/0.51 cnf(i_0_962, 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(c_in(X2,X3,X4)))).
% 0.19/0.51 cnf(i_0_788, plain, (c_HOL_Oplus__class_Oplus(hAPP(X1,X2),c_Finite__Set_Osetsum(X1,c_SetInterval_Oord__class_OgreaterThanLessThan(X2,X3,tc_nat),tc_nat,X4),X4)=c_Finite__Set_Osetsum(X1,c_SetInterval_Oord__class_OatLeastLessThan(X2,X3,tc_nat),tc_nat,X4)|~class_OrderedGroup_Ocomm__monoid__add(X4)|~c_HOL_Oord__class_Oless(X2,X3,tc_nat))).
% 0.19/0.51 cnf(i_0_948, 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))).
% 0.19/0.51 cnf(i_0_1006, plain, (c_Lattices_Oupper__semilattice__class_Osup(c_SetInterval_Oord__class_OgreaterThanLessThan(X1,X2,X3),c_SetInterval_Oord__class_OatLeastAtMost(X2,X4,X3),tc_fun(X3,tc_bool))=c_SetInterval_Oord__class_OgreaterThanAtMost(X1,X4,X3)|~class_Orderings_Olinorder(X3)|~c_HOL_Oord__class_Oless(X1,X2,X3)|~c_lessequals(X2,X4,X3))).
% 0.19/0.51 cnf(i_0_879, plain, (hAPP(X1,c_Set_Oinsert(X2,X3,X4))=hAPP(hAPP(X5,X2),hAPP(X1,X3))|~c_Complete__Lattice_Ocomplete__lattice(X6,X1,X7,X8,X9,X5,X10,X11,X4))).
% 0.19/0.51 cnf(i_0_880, plain, (hAPP(X1,c_Set_Oinsert(X2,X3,X4))=hAPP(hAPP(X5,X2),hAPP(X1,X3))|~c_Complete__Lattice_Ocomplete__lattice(X1,X6,X7,X8,X5,X9,X10,X11,X4))).
% 0.19/0.51 cnf(i_0_778, plain, (c_HOL_Oplus__class_Oplus(c_Finite__Set_Osetsum(X1,c_SetInterval_Oord__class_OatLeastLessThan(X2,X3,tc_nat),tc_nat,X4),hAPP(X1,X3),X4)=c_Finite__Set_Osetsum(X1,c_SetInterval_Oord__class_OatLeastLessThan(X2,c_Suc(X3),tc_nat),tc_nat,X4)|c_HOL_Oord__class_Oless(X3,X2,tc_nat)|~class_OrderedGroup_Ocomm__monoid__add(X4))).
% 0.19/0.51 cnf(i_0_629, 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))).
% 0.19/0.51 cnf(i_0_809, plain, (c_HOL_Oplus__class_Oplus(c_HOL_Oplus__class_Oplus(X1,X2,X3),c_HOL_Oplus__class_Oplus(X4,X5,X3),X3)=c_HOL_Oplus__class_Oplus(c_HOL_Oplus__class_Oplus(X1,X4,X3),c_HOL_Oplus__class_Oplus(X2,X5,X3),X3)|~class_Ring__and__Field_Ocomm__semiring__1(X3))).
% 0.19/0.51 cnf(i_0_830, 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))).
% 0.19/0.51 cnf(i_0_923, plain, (c_Finite__Set_Osetsum(X1,c_SetInterval_Oord__class_OatLeastLessThan(X2,X3,X4),X4,X5)=c_Finite__Set_Osetsum(X6,c_SetInterval_Oord__class_OatLeastLessThan(X2,X3,X4),X4,X5)|c_HOL_Oord__class_Oless(c_List_Osko__SetInterval__Xsetsum__ivl__cong__1__1(X2,X3,X1,X6,X4,X5),X3,X4)|~class_HOL_Oord(X4)|~class_OrderedGroup_Ocomm__monoid__add(X5))).
% 0.19/0.51 cnf(i_0_1073, plain, (hAPP(X1,c_Set_Oinsert(X2,c_Set_Oinsert(X3,c_Orderings_Obot__class_Obot(tc_fun(X4,tc_bool)),X4),X4))=hAPP(hAPP(X5,X2),X3)|~c_Complete__Lattice_Ocomplete__lattice(X6,X1,X7,X8,X9,X5,X10,X11,X4))).
% 0.19/0.51 cnf(i_0_1074, plain, (hAPP(X1,c_Set_Oinsert(X2,c_Set_Oinsert(X3,c_Orderings_Obot__class_Obot(tc_fun(X4,tc_bool)),X4),X4))=hAPP(hAPP(X5,X2),X3)|~c_Complete__Lattice_Ocomplete__lattice(X1,X6,X7,X8,X5,X9,X10,X11,X4))).
% 0.19/0.51 cnf(i_0_924, plain, (c_Finite__Set_Osetsum(X1,c_SetInterval_Oord__class_OatLeastLessThan(X2,X3,X4),X4,X5)=c_Finite__Set_Osetsum(X6,c_SetInterval_Oord__class_OatLeastLessThan(X2,X3,X4),X4,X5)|c_lessequals(X2,c_List_Osko__SetInterval__Xsetsum__ivl__cong__1__1(X2,X3,X1,X6,X4,X5),X4)|~class_HOL_Oord(X4)|~class_OrderedGroup_Ocomm__monoid__add(X5))).
% 0.19/0.51 cnf(i_0_1095, plain, (c_Finite__Set_Osetsum(X1,c_SetInterval_Oord__class_OatLeastLessThan(X2,X3,X4),X4,X5)=c_Finite__Set_Osetsum(X6,c_SetInterval_Oord__class_OatLeastLessThan(X2,X3,X4),X4,X5)|hAPP(X1,c_List_Osko__SetInterval__Xsetsum__ivl__cong__1__1(X2,X3,X1,X6,X4,X5))!=hAPP(X6,c_List_Osko__SetInterval__Xsetsum__ivl__cong__1__1(X2,X3,X1,X6,X4,X5))|~class_HOL_Oord(X4)|~class_OrderedGroup_Ocomm__monoid__add(X5))).
% 0.19/0.51 # End listing active clauses. There is an equivalent clause to each of these in the clausification!
% 0.19/0.51 # Begin printing tableau
% 0.19/0.51 # Found 5 steps
% 0.19/0.51 cnf(i_0_1155, negated_conjecture, (c_Finite__Set_Osetsum(v_f,c_Set_Oinsert(v_m,c_SetInterval_Oord__class_OgreaterThanLessThan(v_m,v_n,tc_nat),tc_nat),tc_nat,t_a)!=c_Finite__Set_Osetsum(v_f,c_SetInterval_Oord__class_OatLeastLessThan(v_m,v_n,tc_nat),tc_nat,t_a)), inference(start_rule)).
% 0.19/0.51 cnf(i_0_1205, plain, (c_Finite__Set_Osetsum(v_f,c_Set_Oinsert(v_m,c_SetInterval_Oord__class_OgreaterThanLessThan(v_m,v_n,tc_nat),tc_nat),tc_nat,t_a)!=c_Finite__Set_Osetsum(v_f,c_SetInterval_Oord__class_OatLeastLessThan(v_m,v_n,tc_nat),tc_nat,t_a)), inference(extension_rule, [i_0_881])).
% 0.19/0.51 cnf(i_0_1702, plain, (hBOOL(c_in(c_Finite__Set_Osetsum(v_f,c_Set_Oinsert(v_m,c_SetInterval_Oord__class_OgreaterThanLessThan(v_m,v_n,tc_nat),tc_nat),tc_nat,t_a),c_Orderings_Obot__class_Obot(tc_fun(X6,tc_bool)),X6))), inference(closure_rule, [i_0_860])).
% 0.19/0.51 cnf(i_0_1703, plain, (~hBOOL(c_in(c_Finite__Set_Osetsum(v_f,c_Set_Oinsert(v_m,c_SetInterval_Oord__class_OgreaterThanLessThan(v_m,v_n,tc_nat),tc_nat),tc_nat,t_a),c_Set_Oinsert(c_Finite__Set_Osetsum(v_f,c_SetInterval_Oord__class_OatLeastLessThan(v_m,v_n,tc_nat),tc_nat,t_a),c_Orderings_Obot__class_Obot(tc_fun(X6,tc_bool)),X6),X6))), inference(extension_rule, [i_0_712])).
% 0.19/0.51 cnf(i_0_2349, plain, (~hBOOL(hAPP(c_Set_Oinsert(c_Finite__Set_Osetsum(v_f,c_SetInterval_Oord__class_OatLeastLessThan(v_m,v_n,tc_nat),tc_nat,t_a),c_Orderings_Obot__class_Obot(tc_fun(X6,tc_bool)),X6),c_Finite__Set_Osetsum(v_f,c_Set_Oinsert(v_m,c_SetInterval_Oord__class_OgreaterThanLessThan(v_m,v_n,tc_nat),tc_nat),tc_nat,t_a)))), inference(etableau_closure_rule, [i_0_2349, ...])).
% 0.19/0.51 # End printing tableau
% 0.19/0.51 # SZS output end
% 0.19/0.51 # Branches closed with saturation will be marked with an "s"
% 0.19/0.51 # Child (28201) has found a proof.
% 0.19/0.51
% 0.19/0.51 # Proof search is over...
% 0.19/0.51 # Freeing feature tree
%------------------------------------------------------------------------------