TSTP Solution File: SCT073-1 by Etableau---0.67
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- Process Solution
%------------------------------------------------------------------------------
% File : Etableau---0.67
% Problem : SCT073-1 : 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 : n015.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 : Mon Jul 18 21:24:29 EDT 2022
% Result : Unsatisfiable 0.39s 0.61s
% Output : CNFRefutation 0.39s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12 % Problem : SCT073-1 : TPTP v8.1.0. Released v4.1.0.
% 0.03/0.13 % Command : etableau --auto --tsmdo --quicksat=10000 --tableau=1 --tableau-saturation=1 -s -p --tableau-cores=8 --cpu-limit=%d %s
% 0.14/0.35 % Computer : n015.cluster.edu
% 0.14/0.35 % Model : x86_64 x86_64
% 0.14/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.35 % Memory : 8042.1875MB
% 0.14/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.35 % CPULimit : 300
% 0.14/0.35 % WCLimit : 600
% 0.14/0.35 % DateTime : Sat Jul 2 03:42:58 EDT 2022
% 0.14/0.35 % CPUTime :
% 0.20/0.46 # No SInE strategy applied
% 0.20/0.46 # Auto-Mode selected heuristic G_E___300_C18_F1_SE_CS_SP_PS_S0Y
% 0.20/0.46 # and selection function SelectMaxLComplexAvoidPosPred.
% 0.20/0.46 #
% 0.20/0.46 # Presaturation interreduction done
% 0.20/0.46 # Number of axioms: 543 Number of unprocessed: 472
% 0.20/0.46 # Tableaux proof search.
% 0.20/0.46 # APR header successfully linked.
% 0.20/0.46 # Hello from C++
% 0.20/0.55 # The folding up rule is enabled...
% 0.20/0.55 # Local unification is enabled...
% 0.20/0.55 # Any saturation attempts will use folding labels...
% 0.20/0.55 # 472 beginning clauses after preprocessing and clausification
% 0.20/0.55 # Creating start rules for all 1 conjectures.
% 0.20/0.55 # There are 1 start rule candidates:
% 0.20/0.55 # Found 102 unit axioms.
% 0.20/0.55 # 1 start rule tableaux created.
% 0.20/0.55 # 370 extension rule candidate clauses
% 0.20/0.55 # 102 unit axiom clauses
% 0.20/0.55
% 0.20/0.55 # Requested 8, 32 cores available to the main process.
% 0.20/0.55 # There are not enough tableaux to fork, creating more from the initial 1
% 0.20/0.55 # Creating equality axioms
% 0.20/0.55 # Ran out of tableaux, making start rules for all clauses
% 0.20/0.55 # Returning from population with 488 new_tableaux and 0 remaining starting tableaux.
% 0.20/0.55 # We now have 488 tableaux to operate on
% 0.39/0.61 # There were 1 total branch saturation attempts.
% 0.39/0.61 # There were 0 of these attempts blocked.
% 0.39/0.61 # There were 0 deferred branch saturation attempts.
% 0.39/0.61 # There were 0 free duplicated saturations.
% 0.39/0.61 # There were 1 total successful branch saturations.
% 0.39/0.61 # There were 0 successful branch saturations in interreduction.
% 0.39/0.61 # There were 0 successful branch saturations on the branch.
% 0.39/0.61 # There were 1 successful branch saturations after the branch.
% 0.39/0.61 # SZS status Unsatisfiable for /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.39/0.61 # SZS output start for /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.39/0.61 # Begin clausification derivation
% 0.39/0.61
% 0.39/0.61 # End clausification derivation
% 0.39/0.61 # Begin listing active clauses obtained from FOF to CNF conversion
% 0.39/0.61 cnf(i_0_1089, plain, (class_Lattices_Oupper__semilattice(tc_bool))).
% 0.39/0.61 cnf(i_0_1091, plain, (class_Lattices_Odistrib__lattice(tc_bool))).
% 0.39/0.61 cnf(i_0_1088, plain, (class_Complete__Lattice_Ocomplete__lattice(tc_bool))).
% 0.39/0.61 cnf(i_0_1094, plain, (class_Lattices_Olattice(tc_bool))).
% 0.39/0.61 cnf(i_0_1090, plain, (class_Lattices_Olower__semilattice(tc_bool))).
% 0.39/0.61 cnf(i_0_1092, plain, (class_Finite__Set_Ofinite_Ofinite(tc_bool))).
% 0.39/0.61 cnf(i_0_1093, plain, (class_Orderings_Opreorder(tc_bool))).
% 0.39/0.61 cnf(i_0_1095, plain, (class_Orderings_Oorder(tc_bool))).
% 0.39/0.61 cnf(i_0_1097, plain, (c_fequal(X1,X1,X2))).
% 0.39/0.61 cnf(i_0_1096, plain, (class_HOL_Oord(tc_bool))).
% 0.39/0.61 cnf(i_0_702, plain, (c_Relation_Otrans(c_Relation_OId(X1),X1))).
% 0.39/0.61 cnf(i_0_940, plain, (c_Relation_Osym(c_Relation_OId(X1),X1))).
% 0.39/0.61 cnf(i_0_567, plain, (c_Relation_Otrans(c_Transitive__Closure_Ortrancl(X1,X2),X2))).
% 0.39/0.61 cnf(i_0_623, plain, (c_Relation_Otrans(c_Relation_OId__on(X1,X2),X2))).
% 0.39/0.61 cnf(i_0_954, plain, (c_Relation_Osym(c_Relation_OId__on(X1,X2),X2))).
% 0.39/0.61 cnf(i_0_841, plain, (c_lessequals(X1,X1,tc_fun(X2,tc_bool)))).
% 0.39/0.61 cnf(i_0_955, plain, (c_Relation_Orefl__on(X1,c_Relation_OId__on(X1,X2),X2))).
% 0.39/0.61 cnf(i_0_659, plain, (c_in(X1,c_Set_Oinsert(X1,X2,X3),X3))).
% 0.39/0.61 cnf(i_0_958, plain, (c_Relation_Oconverse(c_Relation_OId(X1),X1,X1)=c_Relation_OId(X1))).
% 0.39/0.61 cnf(i_0_737, plain, (hBOOL(hAPP(c_Set_Oinsert(X1,X2,X3),X1)))).
% 0.39/0.61 cnf(i_0_552, plain, (c_Lattices_Oupper__semilattice__class_Osup(X1,X1,tc_fun(X2,tc_bool))=X1)).
% 0.39/0.61 cnf(i_0_747, plain, (c_Lattices_Olower__semilattice__class_Oinf(X1,X1,tc_fun(X2,tc_bool))=X1)).
% 0.39/0.61 cnf(i_0_949, plain, (c_Relation_ODomain(c_Relation_OId__on(X1,X2),X2,X2)=X1)).
% 0.39/0.61 cnf(i_0_1013, plain, (c_in(v_sko__Arrow__Order__Mirabelle__Xlinear__alt__1,c_Arrow__Order__Mirabelle_OLin,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_bool)))).
% 0.39/0.61 cnf(i_0_863, plain, (hAPP(c_COMBK(X1,X2,X3),X4)=X1)).
% 0.39/0.61 cnf(i_0_948, plain, (c_Relation_OImage(c_Relation_OId(X1),X2,X1,X1)=X2)).
% 0.39/0.61 cnf(i_0_830, plain, (c_Transitive__Closure_Ortrancl(c_Transitive__Closure_Ortrancl(X1,X2),X2)=c_Transitive__Closure_Ortrancl(X1,X2))).
% 0.39/0.61 cnf(i_0_967, plain, (c_Relation_Oconverse(c_Relation_Oconverse(X1,X2,X3),X3,X2)=X1)).
% 0.39/0.61 cnf(i_0_942, plain, (c_Relation_Orel__comp(X1,c_Relation_OId(X2),X3,X2,X2)=X1)).
% 0.39/0.61 cnf(i_0_677, plain, (c_lessequals(X1,c_Set_Oinsert(X2,X1,X3),tc_fun(X3,tc_bool)))).
% 0.39/0.61 cnf(i_0_941, plain, (c_Relation_Orel__comp(c_Relation_OId(X1),X2,X1,X1,X3)=X2)).
% 0.39/0.61 cnf(i_0_963, plain, (c_Relation_Oconverse(c_Relation_OId__on(X1,X2),X2,X2)=c_Relation_OId__on(X1,X2))).
% 0.39/0.61 cnf(i_0_550, plain, (c_Relation_Otrans(c_Relation_Orel__comp(X1,c_Transitive__Closure_Ortrancl(X1,X2),X2,X2,X2),X2))).
% 0.39/0.61 cnf(i_0_594, plain, (c_lessequals(X1,c_Lattices_Oupper__semilattice__class_Osup(X2,X1,tc_fun(X3,tc_bool)),tc_fun(X3,tc_bool)))).
% 0.39/0.61 cnf(i_0_572, plain, (c_Set_Oinsert(X1,c_Set_Oinsert(X1,X2,X3),X3)=c_Set_Oinsert(X1,X2,X3))).
% 0.39/0.61 cnf(i_0_845, plain, (c_Relation_Oconverse(c_Transitive__Closure_Ortrancl(X1,X2),X2,X2)=c_Transitive__Closure_Ortrancl(c_Relation_Oconverse(X1,X2,X2),X2))).
% 0.39/0.61 cnf(i_0_595, plain, (c_lessequals(X1,c_Lattices_Oupper__semilattice__class_Osup(X1,X2,tc_fun(X3,tc_bool)),tc_fun(X3,tc_bool)))).
% 0.39/0.61 cnf(i_0_729, plain, (c_lessequals(c_Lattices_Olower__semilattice__class_Oinf(X1,X2,tc_fun(X3,tc_bool)),X2,tc_fun(X3,tc_bool)))).
% 0.39/0.61 cnf(i_0_728, plain, (c_lessequals(c_Lattices_Olower__semilattice__class_Oinf(X1,X2,tc_fun(X3,tc_bool)),X1,tc_fun(X3,tc_bool)))).
% 0.39/0.61 cnf(i_0_988, plain, (c_in(c_Pair(X1,X1,X2,X2),c_Relation_OId(X2),tc_prod(X2,X2)))).
% 0.39/0.61 cnf(i_0_826, plain, (c_in(c_Pair(X1,X1,X2,X2),c_Transitive__Closure_Ortrancl(X3,X2),tc_prod(X2,X2)))).
% 0.39/0.61 cnf(i_0_773, plain, (c_Relation_Osym(c_Lattices_Oupper__semilattice__class_Osup(X1,c_Relation_Oconverse(X1,X2,X2),tc_fun(tc_prod(X2,X2),tc_bool)),X2))).
% 0.39/0.61 cnf(i_0_774, plain, (c_Relation_Osym(c_Lattices_Olower__semilattice__class_Oinf(X1,c_Relation_Oconverse(X1,X2,X2),tc_fun(tc_prod(X2,X2),tc_bool)),X2))).
% 0.39/0.61 cnf(i_0_775, plain, (c_Relation_OImage(c_Relation_OId__on(X1,X2),X3,X2,X2)=c_Lattices_Olower__semilattice__class_Oinf(X1,X3,tc_fun(X2,tc_bool)))).
% 0.39/0.61 cnf(i_0_853, plain, (c_Relation_Orel__comp(c_Transitive__Closure_Ortrancl(X1,X2),c_Transitive__Closure_Ortrancl(X1,X2),X2,X2,X2)=c_Transitive__Closure_Ortrancl(X1,X2))).
% 0.39/0.61 cnf(i_0_832, plain, (c_Transitive__Closure_Ortrancl(c_Relation_Orel__comp(X1,c_Transitive__Closure_Ortrancl(X1,X2),X2,X2,X2),X2)=c_Transitive__Closure_Ortrancl(X1,X2))).
% 0.39/0.61 cnf(i_0_587, plain, (c_Lattices_Oupper__semilattice__class_Osup(c_Transitive__Closure_Ortrancl(X1,X2),c_Relation_OId(X2),tc_fun(tc_prod(X2,X2),tc_bool))=c_Transitive__Closure_Ortrancl(X1,X2))).
% 0.39/0.61 cnf(i_0_562, plain, (c_Transitive__Closure_Ortrancl(c_Lattices_Oupper__semilattice__class_Osup(X1,c_Relation_OId(X2),tc_fun(tc_prod(X2,X2),tc_bool)),X2)=c_Transitive__Closure_Ortrancl(X1,X2))).
% 0.39/0.61 cnf(i_0_803, plain, (c_Relation_Orel__comp(c_Transitive__Closure_Ortrancl(X1,X2),X1,X2,X2,X2)=c_Relation_Orel__comp(X1,c_Transitive__Closure_Ortrancl(X1,X2),X2,X2,X2))).
% 0.39/0.61 cnf(i_0_939, plain, (c_Relation_ODomain(c_Relation_Orel__comp(X1,c_Transitive__Closure_Ortrancl(X1,X2),X2,X2,X2),X2,X2)=c_Relation_ODomain(X1,X2,X2))).
% 0.39/0.61 cnf(i_0_638, 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)))).
% 0.39/0.61 cnf(i_0_741, 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)))).
% 0.39/0.61 cnf(i_0_566, 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)))).
% 0.39/0.61 cnf(i_0_565, 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)))).
% 0.39/0.61 cnf(i_0_860, plain, (c_lessequals(c_Relation_OId__on(X1,X2),c_Product__Type_OSigma(X1,c_COMBK(X1,tc_fun(X2,tc_bool),X2),X2,X2),tc_fun(tc_prod(X2,X2),tc_bool)))).
% 0.39/0.61 cnf(i_0_777, plain, (c_Lattices_Oupper__semilattice__class_Osup(c_Relation_OId(X1),c_Relation_Orel__comp(X2,c_Transitive__Closure_Ortrancl(X2,X1),X1,X1,X1),tc_fun(tc_prod(X1,X1),tc_bool))=c_Transitive__Closure_Ortrancl(X2,X1))).
% 0.39/0.61 cnf(i_0_574, plain, (c_Relation_ODomain(c_Set_Oinsert(c_Pair(X1,X2,X3,X4),X5,tc_prod(X3,X4)),X3,X4)=c_Set_Oinsert(X1,c_Relation_ODomain(X5,X3,X4),X3))).
% 0.39/0.61 cnf(i_0_571, 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))).
% 0.39/0.61 cnf(i_0_953, plain, (c_Relation_Orel__comp(c_Relation_Oconverse(X1,X2,X3),c_Relation_Oconverse(X4,X5,X2),X3,X2,X5)=c_Relation_Oconverse(c_Relation_Orel__comp(X4,X1,X5,X2,X3),X5,X3))).
% 0.39/0.61 cnf(i_0_952, plain, (c_Relation_ODomain(c_Relation_Oconverse(c_Relation_Orel__comp(X1,c_Transitive__Closure_Ortrancl(X1,X2),X2,X2,X2),X2,X2),X2,X2)=c_Relation_ODomain(c_Relation_Oconverse(X1,X2,X2),X2,X2))).
% 0.39/0.61 cnf(i_0_582, 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)))).
% 0.39/0.61 cnf(i_0_698, 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)))).
% 0.39/0.61 cnf(i_0_637, plain, (c_Lattices_Oupper__semilattice__class_Osup(c_Relation_ODomain(X1,X2,X3),c_Relation_ODomain(X4,X2,X3),tc_fun(X2,tc_bool))=c_Relation_ODomain(c_Lattices_Oupper__semilattice__class_Osup(X1,X4,tc_fun(tc_prod(X2,X3),tc_bool)),X2,X3))).
% 0.39/0.61 cnf(i_0_643, plain, (c_Transitive__Closure_Ortrancl(c_Lattices_Oupper__semilattice__class_Osup(c_Transitive__Closure_Ortrancl(X1,X2),c_Transitive__Closure_Ortrancl(X3,X2),tc_fun(tc_prod(X2,X2),tc_bool)),X2)=c_Transitive__Closure_Ortrancl(c_Lattices_Oupper__semilattice__class_Osup(X1,X3,tc_fun(tc_prod(X2,X2),tc_bool)),X2))).
% 0.39/0.61 cnf(i_0_765, plain, (c_Lattices_Oupper__semilattice__class_Osup(c_Set_Oimage(X1,X2,X3,X4),c_Set_Oimage(X1,X5,X3,X4),tc_fun(X4,tc_bool))=c_Set_Oimage(X1,c_Lattices_Oupper__semilattice__class_Osup(X2,X5,tc_fun(X3,tc_bool)),X3,X4))).
% 0.39/0.61 cnf(i_0_577, plain, (c_Lattices_Oupper__semilattice__class_Osup(c_Relation_OImage(X1,X2,X3,X4),c_Relation_OImage(X1,X5,X3,X4),tc_fun(X4,tc_bool))=c_Relation_OImage(X1,c_Lattices_Oupper__semilattice__class_Osup(X2,X5,tc_fun(X3,tc_bool)),X3,X4))).
% 0.39/0.61 cnf(i_0_720, plain, (c_Lattices_Oupper__semilattice__class_Osup(c_Relation_Oconverse(X1,X2,X3),c_Relation_Oconverse(X4,X2,X3),tc_fun(tc_prod(X3,X2),tc_bool))=c_Relation_Oconverse(c_Lattices_Oupper__semilattice__class_Osup(X1,X4,tc_fun(tc_prod(X2,X3),tc_bool)),X2,X3))).
% 0.39/0.61 cnf(i_0_618, plain, (c_Lattices_Olower__semilattice__class_Oinf(c_Relation_Oconverse(X1,X2,X3),c_Relation_Oconverse(X4,X2,X3),tc_fun(tc_prod(X3,X2),tc_bool))=c_Relation_Oconverse(c_Lattices_Olower__semilattice__class_Oinf(X1,X4,tc_fun(tc_prod(X2,X3),tc_bool)),X2,X3))).
% 0.39/0.61 cnf(i_0_962, plain, (c_Relation_Orel__comp(c_Relation_Oconverse(X1,X2,X2),c_Transitive__Closure_Ortrancl(c_Relation_Oconverse(X1,X2,X2),X2),X2,X2,X2)=c_Relation_Oconverse(c_Relation_Orel__comp(X1,c_Transitive__Closure_Ortrancl(X1,X2),X2,X2,X2),X2,X2))).
% 0.39/0.61 cnf(i_0_676, plain, (c_lessequals(c_Relation_ODomain(c_Lattices_Olower__semilattice__class_Oinf(X1,X2,tc_fun(tc_prod(X3,X4),tc_bool)),X3,X4),c_Lattices_Olower__semilattice__class_Oinf(c_Relation_ODomain(X1,X3,X4),c_Relation_ODomain(X2,X3,X4),tc_fun(X3,tc_bool)),tc_fun(X3,tc_bool)))).
% 0.39/0.61 cnf(i_0_611, plain, (c_Lattices_Oupper__semilattice__class_Osup(c_Product__Type_OSigma(X1,X2,X3,X4),c_Product__Type_OSigma(X5,X2,X3,X4),tc_fun(tc_prod(X3,X4),tc_bool))=c_Product__Type_OSigma(c_Lattices_Oupper__semilattice__class_Osup(X1,X5,tc_fun(X3,tc_bool)),X2,X3,X4))).
% 0.39/0.61 cnf(i_0_557, plain, (c_Lattices_Olower__semilattice__class_Oinf(c_Product__Type_OSigma(X1,X2,X3,X4),c_Product__Type_OSigma(X5,X2,X3,X4),tc_fun(tc_prod(X3,X4),tc_bool))=c_Product__Type_OSigma(c_Lattices_Olower__semilattice__class_Oinf(X1,X5,tc_fun(X3,tc_bool)),X2,X3,X4))).
% 0.39/0.61 cnf(i_0_576, plain, (c_Lattices_Oupper__semilattice__class_Osup(c_Relation_OImage(X1,X2,X3,X4),c_Relation_OImage(X5,X2,X3,X4),tc_fun(X4,tc_bool))=c_Relation_OImage(c_Lattices_Oupper__semilattice__class_Osup(X1,X5,tc_fun(tc_prod(X3,X4),tc_bool)),X2,X3,X4))).
% 0.39/0.61 cnf(i_0_646, plain, (c_Relation_ODomain(c_Relation_Oconverse(c_Set_Oinsert(c_Pair(X1,X2,X3,X4),X5,tc_prod(X3,X4)),X3,X4),X4,X3)=c_Set_Oinsert(X2,c_Relation_ODomain(c_Relation_Oconverse(X5,X3,X4),X4,X3),X4))).
% 0.39/0.61 cnf(i_0_735, 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)))).
% 0.39/0.61 cnf(i_0_555, 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)))).
% 0.39/0.61 cnf(i_0_736, 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)))).
% 0.39/0.61 cnf(i_0_556, 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)))).
% 0.39/0.61 cnf(i_0_563, plain, (c_lessequals(c_Lattices_Oupper__semilattice__class_Osup(c_Transitive__Closure_Ortrancl(X1,X2),c_Transitive__Closure_Ortrancl(X3,X2),tc_fun(tc_prod(X2,X2),tc_bool)),c_Transitive__Closure_Ortrancl(c_Lattices_Oupper__semilattice__class_Osup(X1,X3,tc_fun(tc_prod(X2,X2),tc_bool)),X2),tc_fun(tc_prod(X2,X2),tc_bool)))).
% 0.39/0.61 cnf(i_0_675, plain, (c_Relation_Orel__comp(c_Lattices_Oupper__semilattice__class_Osup(X1,c_Relation_OId(X2),tc_fun(tc_prod(X2,X2),tc_bool)),c_Transitive__Closure_Ortrancl(X1,X2),X2,X2,X2)=c_Transitive__Closure_Ortrancl(X1,X2))).
% 0.39/0.61 cnf(i_0_681, plain, (c_lessequals(c_Set_Oimage(X1,c_Lattices_Olower__semilattice__class_Oinf(X2,X3,tc_fun(X4,tc_bool)),X4,X5),c_Lattices_Olower__semilattice__class_Oinf(c_Set_Oimage(X1,X2,X4,X5),c_Set_Oimage(X1,X3,X4,X5),tc_fun(X5,tc_bool)),tc_fun(X5,tc_bool)))).
% 0.39/0.61 cnf(i_0_684, plain, (c_lessequals(c_Relation_OImage(X1,c_Lattices_Olower__semilattice__class_Oinf(X2,X3,tc_fun(X4,tc_bool)),X4,X5),c_Lattices_Olower__semilattice__class_Oinf(c_Relation_OImage(X1,X2,X4,X5),c_Relation_OImage(X1,X3,X4,X5),tc_fun(X5,tc_bool)),tc_fun(X5,tc_bool)))).
% 0.39/0.61 cnf(i_0_771, plain, (c_Lattices_Oupper__semilattice__class_Osup(X1,c_Relation_Orel__comp(X1,c_Relation_Orel__comp(X1,c_Transitive__Closure_Ortrancl(X1,X2),X2,X2,X2),X2,X2,X2),tc_fun(tc_prod(X2,X2),tc_bool))=c_Relation_Orel__comp(X1,c_Transitive__Closure_Ortrancl(X1,X2),X2,X2,X2))).
% 0.39/0.61 cnf(i_0_622, plain, (c_Lattices_Oupper__semilattice__class_Osup(c_Relation_Orel__comp(X1,X2,X3,X4,X5),c_Relation_Orel__comp(X1,X6,X3,X4,X5),tc_fun(tc_prod(X3,X5),tc_bool))=c_Relation_Orel__comp(X1,c_Lattices_Oupper__semilattice__class_Osup(X2,X6,tc_fun(tc_prod(X4,X5),tc_bool)),X3,X4,X5))).
% 0.39/0.61 cnf(i_0_621, plain, (c_Lattices_Oupper__semilattice__class_Osup(c_Relation_Orel__comp(X1,X2,X3,X4,X5),c_Relation_Orel__comp(X6,X2,X3,X4,X5),tc_fun(tc_prod(X3,X5),tc_bool))=c_Relation_Orel__comp(c_Lattices_Oupper__semilattice__class_Osup(X1,X6,tc_fun(tc_prod(X3,X4),tc_bool)),X2,X3,X4,X5))).
% 0.39/0.61 cnf(i_0_642, plain, (c_lessequals(c_Relation_ODomain(c_Relation_Oconverse(c_Lattices_Olower__semilattice__class_Oinf(X1,X2,tc_fun(tc_prod(X3,X4),tc_bool)),X3,X4),X4,X3),c_Lattices_Olower__semilattice__class_Oinf(c_Relation_ODomain(c_Relation_Oconverse(X1,X3,X4),X4,X3),c_Relation_ODomain(c_Relation_Oconverse(X2,X3,X4),X4,X3),tc_fun(X4,tc_bool)),tc_fun(X4,tc_bool)))).
% 0.39/0.61 cnf(i_0_785, plain, (c_lessequals(c_Relation_Orel__comp(X1,c_Transitive__Closure_Ortrancl(X1,X2),X2,X2,X2),c_Product__Type_OSigma(c_Relation_ODomain(c_Lattices_Oupper__semilattice__class_Osup(X1,c_Relation_Oconverse(X1,X2,X2),tc_fun(tc_prod(X2,X2),tc_bool)),X2,X2),c_COMBK(c_Relation_ODomain(c_Lattices_Oupper__semilattice__class_Osup(X1,c_Relation_Oconverse(X1,X2,X2),tc_fun(tc_prod(X2,X2),tc_bool)),X2,X2),tc_fun(X2,tc_bool),X2),X2,X2),tc_fun(tc_prod(X2,X2),tc_bool)))).
% 0.39/0.61 cnf(i_0_608, 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)))).
% 0.39/0.61 cnf(i_0_703, plain, (c_Lattices_Oupper__semilattice__class_Osup(c_Product__Type_OSigma(X1,c_COMBK(c_Set_Oinsert(X2,X3,X4),tc_fun(X4,tc_bool),X5),X5,X4),c_Set_Oinsert(c_Pair(X6,X2,X5,X4),c_Product__Type_OSigma(c_Set_Oinsert(X6,X1,X5),c_COMBK(X3,tc_fun(X4,tc_bool),X5),X5,X4),tc_prod(X5,X4)),tc_fun(tc_prod(X5,X4),tc_bool))=c_Product__Type_OSigma(c_Set_Oinsert(X6,X1,X5),c_COMBK(c_Set_Oinsert(X2,X3,X4),tc_fun(X4,tc_bool),X5),X5,X4))).
% 0.39/0.61 cnf(i_0_624, plain, (c_Relation_ODomain(c_Lattices_Oupper__semilattice__class_Osup(X1,c_Lattices_Oupper__semilattice__class_Osup(c_Relation_Oconverse(X1,X2,X2),c_Lattices_Oupper__semilattice__class_Osup(X3,c_Relation_Oconverse(X3,X2,X2),tc_fun(tc_prod(X2,X2),tc_bool)),tc_fun(tc_prod(X2,X2),tc_bool)),tc_fun(tc_prod(X2,X2),tc_bool)),X2,X2)=c_Relation_ODomain(c_Lattices_Oupper__semilattice__class_Osup(X1,c_Lattices_Oupper__semilattice__class_Osup(X3,c_Relation_Oconverse(c_Lattices_Oupper__semilattice__class_Osup(X1,X3,tc_fun(tc_prod(X2,X2),tc_bool)),X2,X2),tc_fun(tc_prod(X2,X2),tc_bool)),tc_fun(tc_prod(X2,X2),tc_bool)),X2,X2))).
% 0.39/0.61 cnf(i_0_634, 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)))).
% 0.39/0.61 cnf(i_0_604, 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)))).
% 0.39/0.61 cnf(i_0_578, plain, (c_Set_Oinsert(X1,c_Set_Oinsert(X2,X3,X4),X4)=c_Set_Oinsert(X2,c_Set_Oinsert(X1,X3,X4),X4))).
% 0.39/0.61 cnf(i_0_961, plain, (c_Relation_Oconverse(c_Relation_Oinv__image(X1,X2,X3,X4),X4,X4)=c_Relation_Oinv__image(c_Relation_Oconverse(X1,X3,X3),X2,X3,X4))).
% 0.39/0.61 cnf(i_0_718, plain, (c_Set_Oimage(X1,c_Set_Oinsert(X2,X3,X4),X4,X5)=c_Set_Oinsert(hAPP(X1,X2),c_Set_Oimage(X1,X3,X4,X5),X5))).
% 0.39/0.61 cnf(i_0_581, 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)))).
% 0.39/0.61 cnf(i_0_699, 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)))).
% 0.39/0.61 cnf(i_0_960, plain, (c_Relation_Orel__comp(c_Relation_Orel__comp(X1,X2,X3,X4,X5),X6,X3,X5,X7)=c_Relation_Orel__comp(X1,c_Relation_Orel__comp(X2,X6,X4,X5,X7),X3,X4,X7))).
% 0.39/0.61 cnf(i_0_1077, negated_conjecture, (~v_thesis____)).
% 0.39/0.61 cnf(i_0_1076, plain, (v_b____!=v_a____)).
% 0.39/0.61 cnf(i_0_999, plain, (~c_in(c_Pair(X1,X2,tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Arrow__Order__Mirabelle_Omktop(X3,X1),tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)))).
% 0.39/0.61 cnf(i_0_1003, plain, (~c_in(c_Pair(X1,X2,tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Arrow__Order__Mirabelle_Omkbot(X3,X2),tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)))).
% 0.39/0.61 cnf(i_0_1098, plain, (X1=X2|~c_fequal(X1,X2,X3))).
% 0.39/0.61 cnf(i_0_980, plain, (~c_Wellfounded_Owf(X1,X2)|~c_in(c_Pair(X3,X3,X2,X2),X1,tc_prod(X2,X2)))).
% 0.39/0.61 cnf(i_0_778, plain, (~c_Wellfounded_Owf(c_Set_Oinsert(c_Pair(X1,X2,X3,X3),X4,tc_prod(X3,X3)),X3)|~c_in(c_Pair(X2,X1,X3,X3),c_Transitive__Closure_Ortrancl(X4,X3),tc_prod(X3,X3)))).
% 0.39/0.61 cnf(i_0_665, plain, (c_Set_Oinsert(X1,X2,X3)=X2|~c_in(X1,X2,X3))).
% 0.39/0.61 cnf(i_0_641, plain, (c_Finite__Set_Ofinite(X1,X2)|~class_Finite__Set_Ofinite_Ofinite(X2))).
% 0.39/0.61 cnf(i_0_1080, plain, (class_Lattices_Oupper__semilattice(tc_fun(X1,X2))|~class_Lattices_Olattice(X2))).
% 0.39/0.61 cnf(i_0_1075, plain, (~c_in(c_Pair(X1,X2,tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),X3,tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt))|~c_in(c_Pair(X2,X1,tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),X3,tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt))|~c_in(X3,c_Arrow__Order__Mirabelle_OLin,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_bool)))).
% 0.39/0.61 cnf(i_0_904, plain, (~c_Wellfounded_Owf(X1,X2)|~c_in(c_Pair(X3,c_ATP__Linkup_Osko__Wellfounded__XwfE__min__1__1(X4,X1,X2),X2,X2),X1,tc_prod(X2,X2))|~c_in(X5,X4,X2)|~c_in(X3,X4,X2))).
% 0.39/0.61 cnf(i_0_903, plain, (~c_Wellfounded_Owf(X1,X2)|~c_in(c_Pair(X3,c_ATP__Linkup_Osko__Wellfounded__Xwf__eq__minimal__1__1(X4,X1,X2),X2,X2),X1,tc_prod(X2,X2))|~c_in(X5,X4,X2)|~c_in(X3,X4,X2))).
% 0.39/0.61 cnf(i_0_836, plain, (c_lessequals(X1,X1,X2)|~class_Orderings_Opreorder(X2))).
% 0.39/0.61 cnf(i_0_1082, plain, (class_Lattices_Odistrib__lattice(tc_fun(X1,X2))|~class_Lattices_Odistrib__lattice(X2))).
% 0.39/0.61 cnf(i_0_1079, plain, (class_Complete__Lattice_Ocomplete__lattice(tc_fun(X1,X2))|~class_Complete__Lattice_Ocomplete__lattice(X2))).
% 0.39/0.61 cnf(i_0_1085, plain, (class_Lattices_Olattice(tc_fun(X1,X2))|~class_Lattices_Olattice(X2))).
% 0.39/0.61 cnf(i_0_1081, plain, (class_Lattices_Olower__semilattice(tc_fun(X1,X2))|~class_Lattices_Olattice(X2))).
% 0.39/0.61 cnf(i_0_1084, plain, (class_Orderings_Opreorder(tc_fun(X1,X2))|~class_Orderings_Opreorder(X2))).
% 0.39/0.61 cnf(i_0_1086, plain, (class_Orderings_Oorder(tc_fun(X1,X2))|~class_Orderings_Oorder(X2))).
% 0.39/0.61 cnf(i_0_1087, plain, (class_HOL_Oord(tc_fun(X1,X2))|~class_HOL_Oord(X2))).
% 0.39/0.61 cnf(i_0_837, plain, (c_lessequals(X1,X1,X2)|~class_Orderings_Oorder(X2))).
% 0.39/0.61 cnf(i_0_923, plain, (~c_Wellfounded_Owf(X1,X2)|~c_in(c_Pair(X3,X4,X2,X2),X1,tc_prod(X2,X2))|~c_in(c_Pair(X4,X3,X2,X2),X1,tc_prod(X2,X2)))).
% 0.39/0.61 cnf(i_0_764, plain, (c_Relation_Otrans(X1,X2)|~c_Equiv__Relations_Oequiv(X3,X1,X2))).
% 0.39/0.61 cnf(i_0_971, plain, (c_Relation_Osym(X1,X2)|~c_Equiv__Relations_Oequiv(X3,X1,X2))).
% 0.39/0.61 cnf(i_0_969, plain, (c_Relation_Orefl__on(X1,X2,X3)|~c_Equiv__Relations_Oequiv(X1,X2,X3))).
% 0.39/0.61 cnf(i_0_1083, plain, (class_Finite__Set_Ofinite_Ofinite(tc_fun(X1,X2))|~class_Finite__Set_Ofinite_Ofinite(X2)|~class_Finite__Set_Ofinite_Ofinite(X1))).
% 0.39/0.61 cnf(i_0_1078, plain, (class_Finite__Set_Ofinite_Ofinite(tc_prod(X1,X2))|~class_Finite__Set_Ofinite_Ofinite(X2)|~class_Finite__Set_Ofinite_Ofinite(X1))).
% 0.39/0.61 cnf(i_0_551, plain, (c_Lattices_Oupper__semilattice__class_Osup(X1,X1,X2)=X1|~class_Lattices_Oupper__semilattice(X2))).
% 0.39/0.61 cnf(i_0_746, plain, (c_Lattices_Olower__semilattice__class_Oinf(X1,X1,X2)=X1|~class_Lattices_Olower__semilattice(X2))).
% 0.39/0.61 cnf(i_0_1074, plain, (~c_in(c_Pair(v_a____,v_b____,tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),X1,tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt))|~c_in(X1,c_Arrow__Order__Mirabelle_OLin,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_bool)))).
% 0.39/0.61 cnf(i_0_568, plain, (c_Relation_Otrans(X1,X2)|~c_Relation_Otrans(c_Relation_Oconverse(X1,X2,X2),X2))).
% 0.39/0.61 cnf(i_0_678, plain, (c_Finite__Set_Ofinite(X1,X2)|~c_Finite__Set_Ofinite(c_Set_Oinsert(X3,X1,X2),X2))).
% 0.39/0.61 cnf(i_0_865, plain, (c_Relation_Osym(c_Transitive__Closure_Ortrancl(X1,X2),X2)|~c_Relation_Osym(X1,X2))).
% 0.39/0.61 cnf(i_0_950, plain, (c_Relation_Oconverse(X1,X2,X2)=X1|~c_Relation_Osym(X1,X2))).
% 0.39/0.61 cnf(i_0_599, plain, (c_lessequals(X1,c_Lattices_Oupper__semilattice__class_Osup(X2,X1,X3),X3)|~class_Lattices_Oupper__semilattice(X3))).
% 0.39/0.61 cnf(i_0_602, plain, (c_lessequals(X1,c_Lattices_Oupper__semilattice__class_Osup(X2,X1,X3),X3)|~class_Lattices_Olattice(X3))).
% 0.39/0.61 cnf(i_0_598, plain, (c_lessequals(X1,c_Lattices_Oupper__semilattice__class_Osup(X1,X2,X3),X3)|~class_Lattices_Oupper__semilattice(X3))).
% 0.39/0.61 cnf(i_0_937, plain, (c_Relation_Osym(X1,X2)|~c_Relation_Osym(c_Relation_Oconverse(X1,X2,X2),X2))).
% 0.39/0.61 cnf(i_0_701, plain, (c_Finite__Set_Ofinite(X1,X2)|~c_Finite__Set_Ofinite(c_Lattices_Oupper__semilattice__class_Osup(X3,X1,tc_fun(X2,tc_bool)),X2))).
% 0.39/0.61 cnf(i_0_700, plain, (c_Finite__Set_Ofinite(X1,X2)|~c_Finite__Set_Ofinite(c_Lattices_Oupper__semilattice__class_Osup(X1,X3,tc_fun(X2,tc_bool)),X2))).
% 0.39/0.61 cnf(i_0_951, plain, (c_Relation_Osym(X1,X2)|c_Relation_Oconverse(X1,X2,X2)!=X1)).
% 0.39/0.61 cnf(i_0_935, plain, (c_in(X1,c_Wellfounded_Oacc(X2,X3),X3)|~c_Wellfounded_Owf(X2,X3))).
% 0.39/0.61 cnf(i_0_1072, plain, (c_in(X1,X2,X3)|~hBOOL(hAPP(X2,X1)))).
% 0.39/0.61 cnf(i_0_635, plain, (c_Lattices_Oupper__semilattice__class_Osup(X1,X2,X3)=c_Lattices_Oupper__semilattice__class_Osup(X2,X1,X3)|~class_Lattices_Oupper__semilattice(X3))).
% 0.39/0.61 cnf(i_0_603, plain, (c_lessequals(X1,c_Lattices_Oupper__semilattice__class_Osup(X1,X2,X3),X3)|~class_Lattices_Olattice(X3))).
% 0.39/0.61 cnf(i_0_722, plain, (c_lessequals(c_Lattices_Olower__semilattice__class_Oinf(X1,X2,X3),X2,X3)|~class_Lattices_Olattice(X3))).
% 0.39/0.61 cnf(i_0_726, plain, (c_lessequals(c_Lattices_Olower__semilattice__class_Oinf(X1,X2,X3),X2,X3)|~class_Lattices_Olower__semilattice(X3))).
% 0.39/0.61 cnf(i_0_721, plain, (c_lessequals(c_Lattices_Olower__semilattice__class_Oinf(X1,X2,X3),X1,X3)|~class_Lattices_Olattice(X3))).
% 0.39/0.61 cnf(i_0_727, plain, (c_lessequals(c_Lattices_Olower__semilattice__class_Oinf(X1,X2,X3),X1,X3)|~class_Lattices_Olower__semilattice(X3))).
% 0.39/0.61 cnf(i_0_829, plain, (c_lessequals(X1,X2,X3)|c_lessequals(X2,X1,X3)|~class_Orderings_Olinorder(X3))).
% 0.39/0.61 cnf(i_0_895, plain, (c_Wellfounded_Owf(X1,X2)|~c_in(c_ATP__Linkup_Osko__Wellfounded__Xacc__wfI__1__1(X1,X2),c_Wellfounded_Oacc(X1,X2),X2))).
% 0.39/0.61 cnf(i_0_896, plain, (c_Wellfounded_Owf(X1,X2)|~c_in(c_ATP__Linkup_Osko__Wellfounded__Xwf__acc__iff__1__1(X1,X2),c_Wellfounded_Oacc(X1,X2),X2))).
% 0.39/0.61 cnf(i_0_709, plain, (c_lessequals(X1,X2,X3)|c_Lattices_Oupper__semilattice__class_Osup(X1,X2,X3)!=X2|~class_Lattices_Oupper__semilattice(X3))).
% 0.39/0.61 cnf(i_0_569, plain, (c_Relation_Otrans(c_Relation_Oconverse(X1,X2,X2),X2)|~c_Relation_Otrans(X1,X2))).
% 0.39/0.61 cnf(i_0_679, plain, (c_Finite__Set_Ofinite(c_Set_Oinsert(X1,X2,X3),X3)|~c_Finite__Set_Ofinite(X2,X3))).
% 0.39/0.61 cnf(i_0_1073, plain, (hBOOL(hAPP(X1,X2))|~c_in(X2,X1,X3))).
% 0.39/0.61 cnf(i_0_636, plain, (c_Lattices_Oupper__semilattice__class_Osup(X1,X2,X3)=c_Lattices_Oupper__semilattice__class_Osup(X2,X1,X3)|~class_Lattices_Olattice(X3))).
% 0.39/0.61 cnf(i_0_938, plain, (c_Relation_Osym(c_Relation_Oconverse(X1,X2,X2),X2)|~c_Relation_Osym(X1,X2))).
% 0.39/0.61 cnf(i_0_1009, plain, (X1=X2|c_in(v_sko__Arrow__Order__Mirabelle__Xcomplete__Lin__1(X1,X2),c_Arrow__Order__Mirabelle_OLin,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_bool)))).
% 0.39/0.61 cnf(i_0_606, plain, (c_Lattices_Olower__semilattice__class_Oinf(X1,X2,X3)=c_Lattices_Olower__semilattice__class_Oinf(X2,X1,X3)|~class_Lattices_Olattice(X3))).
% 0.39/0.61 cnf(i_0_605, plain, (c_Lattices_Olower__semilattice__class_Oinf(X1,X2,X3)=c_Lattices_Olower__semilattice__class_Oinf(X2,X1,X3)|~class_Lattices_Olower__semilattice(X3))).
% 0.39/0.61 cnf(i_0_591, plain, (c_lessequals(X1,X2,X3)|c_Lattices_Olower__semilattice__class_Oinf(X1,X2,X3)!=X1|~class_Lattices_Olower__semilattice(X3))).
% 0.39/0.61 cnf(i_0_947, plain, (c_Wellfounded_Owf(X1,X2)|~c_Wellfounded_Owf(c_Relation_Orel__comp(X1,X1,X2,X2,X2),X2))).
% 0.39/0.61 cnf(i_0_644, plain, (hBOOL(hAPP(X1,X2))|~hBOOL(hAPP(c_Lattices_Olower__semilattice__class_Oinf(X3,X1,tc_fun(X4,tc_bool)),X2)))).
% 0.39/0.61 cnf(i_0_648, plain, (c_Relation_Orel__comp(X1,c_Transitive__Closure_Ortrancl(X1,X2),X2,X2,X2)=X1|~c_Relation_Otrans(X1,X2))).
% 0.39/0.61 cnf(i_0_1068, plain, (X1=X2|c_Pair(X3,X1,X4,X5)!=c_Pair(X6,X2,X4,X5))).
% 0.39/0.61 cnf(i_0_710, plain, (c_Lattices_Oupper__semilattice__class_Osup(X1,X2,X3)=X2|~c_lessequals(X1,X2,X3)|~class_Lattices_Oupper__semilattice(X3))).
% 0.39/0.61 cnf(i_0_708, plain, (c_Lattices_Oupper__semilattice__class_Osup(X1,X2,X3)=X1|~c_lessequals(X2,X1,X3)|~class_Lattices_Oupper__semilattice(X3))).
% 0.39/0.61 cnf(i_0_706, plain, (c_Lattices_Oupper__semilattice__class_Osup(X1,c_Lattices_Olower__semilattice__class_Oinf(X1,X2,X3),X3)=X1|~class_Lattices_Olattice(X3))).
% 0.39/0.61 cnf(i_0_707, plain, (c_Lattices_Olower__semilattice__class_Oinf(X1,c_Lattices_Oupper__semilattice__class_Osup(X1,X2,X3),X3)=X1|~class_Lattices_Olattice(X3))).
% 0.39/0.61 cnf(i_0_680, plain, (c_Relation_Otrans(c_Relation_Oinv__image(X1,X2,X3,X4),X4)|~c_Relation_Otrans(X1,X3))).
% 0.39/0.61 cnf(i_0_715, plain, (c_Finite__Set_Ofinite(c_Set_Oimage(X1,X2,X3,X4),X4)|~c_Finite__Set_Ofinite(X2,X3))).
% 0.39/0.61 cnf(i_0_957, plain, (c_Relation_Osym(c_Relation_Oinv__image(X1,X2,X3,X4),X4)|~c_Relation_Osym(X1,X3))).
% 0.39/0.61 cnf(i_0_956, plain, (c_Wellfounded_Owf(c_Relation_Oinv__image(X1,X2,X3,X4),X4)|~c_Wellfounded_Owf(X1,X3))).
% 0.39/0.61 cnf(i_0_645, plain, (hBOOL(hAPP(X1,X2))|~hBOOL(hAPP(c_Lattices_Olower__semilattice__class_Oinf(X1,X3,tc_fun(X4,tc_bool)),X2)))).
% 0.39/0.61 cnf(i_0_944, plain, (c_Relation_Orefl__on(X1,X2,X3)|~c_Relation_Orefl__on(X1,c_Relation_Oconverse(X2,X3,X3),X3))).
% 0.39/0.61 cnf(i_0_974, plain, (c_Relation_Ototal__on(X1,X2,X3)|~c_Relation_Ototal__on(X1,c_Relation_Oconverse(X2,X3,X3),X3))).
% 0.39/0.61 cnf(i_0_1069, plain, (X1=X2|c_Pair(X1,X3,X4,X5)!=c_Pair(X2,X6,X4,X5))).
% 0.39/0.61 cnf(i_0_592, plain, (c_Lattices_Olower__semilattice__class_Oinf(X1,X2,X3)=X2|~class_Lattices_Olower__semilattice(X3)|~c_lessequals(X2,X1,X3))).
% 0.39/0.61 cnf(i_0_590, plain, (c_Lattices_Olower__semilattice__class_Oinf(X1,X2,X3)=X1|~class_Lattices_Olower__semilattice(X3)|~c_lessequals(X1,X2,X3))).
% 0.39/0.61 cnf(i_0_757, plain, (c_Finite__Set_Ofinite(X1,X2)|~c_Finite__Set_Ofinite(X3,X2)|~c_lessequals(X1,X3,tc_fun(X2,tc_bool)))).
% 0.39/0.61 cnf(i_0_649, plain, (c_Finite__Set_Ofinite(c_Lattices_Olower__semilattice__class_Oinf(X1,X2,tc_fun(X3,tc_bool)),X3)|~c_Finite__Set_Ofinite(X2,X3))).
% 0.39/0.61 cnf(i_0_650, plain, (c_Finite__Set_Ofinite(c_Lattices_Olower__semilattice__class_Oinf(X1,X2,tc_fun(X3,tc_bool)),X3)|~c_Finite__Set_Ofinite(X1,X3))).
% 0.39/0.61 cnf(i_0_946, plain, (c_Wellfounded_Owf(c_Relation_Orel__comp(X1,X1,X2,X2,X2),X2)|~c_Wellfounded_Owf(X1,X2))).
% 0.39/0.61 cnf(i_0_713, plain, (c_lessequals(X1,X2,tc_fun(X3,tc_bool))|c_Lattices_Oupper__semilattice__class_Osup(X1,X2,tc_fun(X3,tc_bool))!=X2)).
% 0.39/0.61 cnf(i_0_848, plain, (X1=X2|~class_Orderings_Oorder(X3)|~c_lessequals(X2,X1,X3)|~c_lessequals(X1,X2,X3))).
% 0.39/0.61 cnf(i_0_564, 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))).
% 0.39/0.61 cnf(i_0_570, 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))).
% 0.39/0.61 cnf(i_0_822, plain, (c_lessequals(X1,c_Complete__Lattice_OSup__class_OSup(X2,X3),X3)|~class_Complete__Lattice_Ocomplete__lattice(X3)|~c_in(X1,X2,X3))).
% 0.39/0.61 cnf(i_0_1006, plain, (X1=X2|c_in(c_Pair(X1,X2,tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Arrow__Order__Mirabelle_Omktop(X3,X2),tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)))).
% 0.39/0.61 cnf(i_0_1001, plain, (X1=X2|c_in(c_Pair(X1,X2,tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Arrow__Order__Mirabelle_Omkbot(X3,X1),tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)))).
% 0.39/0.61 cnf(i_0_1008, plain, (X1=X2|c_in(c_Pair(X1,X2,tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),v_sko__Arrow__Order__Mirabelle__Xcomplete__Lin__1(X1,X2),tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)))).
% 0.39/0.61 cnf(i_0_653, plain, (c_in(X1,c_Set_Oinsert(X2,X3,X4),X4)|~c_in(X1,X3,X4))).
% 0.39/0.61 cnf(i_0_945, plain, (c_Relation_Orefl__on(X1,c_Relation_Oconverse(X2,X3,X3),X3)|~c_Relation_Orefl__on(X1,X2,X3))).
% 0.39/0.61 cnf(i_0_975, plain, (c_Relation_Ototal__on(X1,c_Relation_Oconverse(X2,X3,X3),X3)|~c_Relation_Ototal__on(X1,X2,X3))).
% 0.39/0.61 cnf(i_0_612, plain, (hBOOL(hAPP(c_Set_Oinsert(X1,X2,X3),X4))|~hBOOL(hAPP(X2,X4)))).
% 0.39/0.61 cnf(i_0_610, plain, (c_in(X1,X2,X3)|~c_lessequals(c_Set_Oinsert(X1,X4,X3),X2,tc_fun(X3,tc_bool)))).
% 0.39/0.61 cnf(i_0_662, plain, (c_in(X1,X2,X3)|~c_in(X1,c_Lattices_Olower__semilattice__class_Oinf(X4,X2,tc_fun(X3,tc_bool)),X3))).
% 0.39/0.61 cnf(i_0_813, plain, (c_lessequals(c_Complete__Lattice_OInf__class_OInf(X1,X2),X3,X2)|~class_Complete__Lattice_Ocomplete__lattice(X2)|~c_in(X3,X1,X2))).
% 0.39/0.61 cnf(i_0_835, plain, (hBOOL(hAPP(X1,X2))|~hBOOL(hAPP(X3,X2))|~c_lessequals(X3,X1,tc_fun(X4,tc_bool)))).
% 0.39/0.61 cnf(i_0_639, 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))).
% 0.39/0.61 cnf(i_0_640, 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))).
% 0.39/0.61 cnf(i_0_739, 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))).
% 0.39/0.61 cnf(i_0_740, 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))).
% 0.39/0.61 cnf(i_0_745, plain, (c_Wellfounded_Owf(c_Lattices_Olower__semilattice__class_Oinf(X1,X2,tc_fun(tc_prod(X3,X3),tc_bool)),X3)|~c_Wellfounded_Owf(X2,X3))).
% 0.39/0.61 cnf(i_0_744, plain, (c_Wellfounded_Owf(c_Lattices_Olower__semilattice__class_Oinf(X1,X2,tc_fun(tc_prod(X3,X3),tc_bool)),X3)|~c_Wellfounded_Owf(X1,X3))).
% 0.39/0.61 cnf(i_0_663, plain, (c_in(X1,X2,X3)|~c_in(X1,c_Lattices_Olower__semilattice__class_Oinf(X2,X4,tc_fun(X3,tc_bool)),X3))).
% 0.39/0.61 cnf(i_0_851, plain, (X1=X2|~c_lessequals(X2,X1,tc_fun(X3,tc_bool))|~c_lessequals(X1,X2,tc_fun(X3,tc_bool)))).
% 0.39/0.61 cnf(i_0_657, plain, (X1=X2|c_in(X1,X3,X4)|~c_in(X1,c_Set_Oinsert(X2,X3,X4),X4))).
% 0.39/0.61 cnf(i_0_664, plain, (X1=X2|c_in(X3,X1,X4)|c_in(X3,X2,X4)|c_Set_Oinsert(X3,X1,X4)!=c_Set_Oinsert(X3,X2,X4))).
% 0.39/0.61 cnf(i_0_711, plain, (c_Lattices_Oupper__semilattice__class_Osup(X1,X2,tc_fun(X3,tc_bool))=X2|~c_lessequals(X1,X2,tc_fun(X3,tc_bool)))).
% 0.39/0.61 cnf(i_0_979, plain, (c_in(c_Pair(X1,X1,X2,X2),X3,tc_prod(X2,X2))|~c_Nitpick_Orefl_H(X3,X2))).
% 0.39/0.61 cnf(i_0_936, plain, (c_Relation_Osym(c_Relation_Orel__comp(X1,c_Transitive__Closure_Ortrancl(X1,X2),X2,X2,X2),X2)|~c_Relation_Osym(X1,X2))).
% 0.39/0.61 cnf(i_0_959, plain, (c_Wellfounded_Owf(c_Relation_Orel__comp(X1,c_Transitive__Closure_Ortrancl(X1,X2),X2,X2,X2),X2)|~c_Wellfounded_Owf(X1,X2))).
% 0.39/0.61 cnf(i_0_894, plain, (c_in(c_ATP__Linkup_Osko__Complete__Lattice__XInterI__1__1(X1,X2,X3),X2,tc_fun(X3,tc_bool))|c_in(X1,c_Complete__Lattice_OInf__class_OInf(X2,tc_fun(X3,tc_bool)),X3))).
% 0.39/0.61 cnf(i_0_687, plain, (c_Relation_Otrans(c_Lattices_Oupper__semilattice__class_Osup(X1,c_Relation_OId(X2),tc_fun(tc_prod(X2,X2),tc_bool)),X2)|~c_Relation_Otrans(X1,X2))).
% 0.39/0.61 cnf(i_0_656, plain, (c_in(X1,c_Lattices_Oupper__semilattice__class_Osup(X2,X3,tc_fun(X4,tc_bool)),X4)|~c_in(X1,X3,X4))).
% 0.39/0.61 cnf(i_0_655, plain, (c_in(X1,c_Lattices_Oupper__semilattice__class_Osup(X2,X3,tc_fun(X4,tc_bool)),X4)|~c_in(X1,X2,X4))).
% 0.39/0.61 cnf(i_0_978, plain, (X1=X2|~c_in(c_Pair(X1,X2,X3,X3),c_Relation_OId(X3),tc_prod(X3,X3)))).
% 0.39/0.61 cnf(i_0_559, plain, (c_Finite__Set_Ofinite(X1,X2)|~c_Finite__Set_Ofinite(X3,X4)|~c_lessequals(X1,c_Set_Oimage(X5,X3,X4,X2),tc_fun(X2,tc_bool)))).
% 0.39/0.61 cnf(i_0_1014, plain, (c_in(X1,c_Arrow__Order__Mirabelle_OLin,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_bool))|~c_in(c_Relation_Oconverse(X1,tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Arrow__Order__Mirabelle_OLin,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_bool)))).
% 0.39/0.61 cnf(i_0_573, plain, (X1=X2|hBOOL(hAPP(X3,X1))|~hBOOL(hAPP(c_Set_Oinsert(X2,X3,X4),X1)))).
% 0.39/0.61 cnf(i_0_875, plain, (c_in(X1,c_Transitive__Closure_Ortrancl(X2,X3),tc_prod(X3,X3))|~c_in(X1,X2,tc_prod(X3,X3)))).
% 0.39/0.61 cnf(i_0_712, plain, (c_Lattices_Oupper__semilattice__class_Osup(X1,X2,tc_fun(X3,tc_bool))=X1|~c_lessequals(X2,X1,tc_fun(X3,tc_bool)))).
% 0.39/0.61 cnf(i_0_589, plain, (c_Lattices_Olower__semilattice__class_Oinf(X1,X2,tc_fun(X3,tc_bool))=X2|~c_lessequals(X2,X1,tc_fun(X3,tc_bool)))).
% 0.39/0.61 cnf(i_0_689, plain, (hBOOL(hAPP(c_Lattices_Oupper__semilattice__class_Osup(X1,X2,tc_fun(X3,tc_bool)),X4))|~hBOOL(hAPP(X2,X4)))).
% 0.39/0.61 cnf(i_0_690, plain, (hBOOL(hAPP(c_Lattices_Oupper__semilattice__class_Osup(X1,X2,tc_fun(X3,tc_bool)),X4))|~hBOOL(hAPP(X1,X4)))).
% 0.39/0.61 cnf(i_0_970, plain, (c_Complete__Lattice_OSup__class_OSup(c_Equiv__Relations_Oquotient(X1,X2,X3),tc_fun(X3,tc_bool))=X1|~c_Equiv__Relations_Oequiv(X1,X2,X3))).
% 0.39/0.61 cnf(i_0_666, plain, (c_in(hAPP(X1,X2),c_Set_Oimage(X1,X3,X4,X5),X5)|~c_in(X2,X3,X4))).
% 0.39/0.61 cnf(i_0_628, plain, (c_lessequals(X1,X2,X3)|~class_Lattices_Olower__semilattice(X3)|~c_lessequals(X1,c_Lattices_Olower__semilattice__class_Oinf(X4,X2,X3),X3))).
% 0.39/0.61 cnf(i_0_627, plain, (c_lessequals(X1,X2,X3)|~class_Lattices_Olower__semilattice(X3)|~c_lessequals(X1,c_Lattices_Olower__semilattice__class_Oinf(X2,X4,X3),X3))).
% 0.39/0.61 cnf(i_0_583, 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))).
% 0.39/0.61 cnf(i_0_586, 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))).
% 0.39/0.61 cnf(i_0_588, plain, (c_Lattices_Olower__semilattice__class_Oinf(X1,X2,tc_fun(X3,tc_bool))=X1|~c_lessequals(X1,X2,tc_fun(X3,tc_bool)))).
% 0.39/0.61 cnf(i_0_682, plain, (c_Finite__Set_Ofinite(c_Lattices_Oupper__semilattice__class_Osup(X1,X2,tc_fun(X3,tc_bool)),X3)|~c_Finite__Set_Ofinite(X2,X3)|~c_Finite__Set_Ofinite(X1,X3))).
% 0.39/0.61 cnf(i_0_920, plain, (c_in(c_Pair(c_ATP__Linkup_Osko__Wellfounded__Xnot__acc__down__1__1(X1,X2,X3),X2,X3,X3),X1,tc_prod(X3,X3))|c_in(X2,c_Wellfounded_Oacc(X1,X3),X3))).
% 0.39/0.61 cnf(i_0_917, plain, (c_in(c_Pair(c_ATP__Linkup_Osko__Wellfounded__Xacc__Xintros__1__1(X1,X2,X3),X2,X3,X3),X1,tc_prod(X3,X3))|c_in(X2,c_Wellfounded_Oacc(X1,X3),X3))).
% 0.39/0.61 cnf(i_0_749, plain, (c_lessequals(X1,X2,X3)|~c_lessequals(c_Lattices_Oupper__semilattice__class_Osup(X4,X1,X3),X2,X3)|~class_Lattices_Oupper__semilattice(X3))).
% 0.39/0.61 cnf(i_0_694, 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))).
% 0.39/0.61 cnf(i_0_697, 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))).
% 0.39/0.61 cnf(i_0_751, plain, (c_lessequals(X1,c_Lattices_Oupper__semilattice__class_Osup(X2,X3,X4),X4)|~c_lessequals(X1,X3,X4)|~class_Lattices_Oupper__semilattice(X4))).
% 0.39/0.61 cnf(i_0_890, plain, (c_in(X1,c_FuncSet_OPi(X2,X3,X4,X5),tc_fun(X4,X5))|c_in(c_FuncSet_Osko__FuncSet__XPi__I_H__1__1(X2,X3,X1,X4,X5),X2,X4))).
% 0.39/0.61 cnf(i_0_891, plain, (c_in(X1,c_FuncSet_OPi(X2,X3,X4,X5),tc_fun(X4,X5))|c_in(c_FuncSet_Osko__FuncSet__XPi__I__1__1(X2,X3,X1,X4,X5),X2,X4))).
% 0.39/0.61 cnf(i_0_584, 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))).
% 0.39/0.61 cnf(i_0_585, 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))).
% 0.39/0.61 cnf(i_0_695, 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))).
% 0.39/0.61 cnf(i_0_696, 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))).
% 0.39/0.61 cnf(i_0_692, plain, (c_lessequals(c_Relation_Orel__comp(X1,X1,X2,X2,X2),X1,tc_fun(tc_prod(X2,X2),tc_bool))|~c_Relation_Otrans(X1,X2))).
% 0.39/0.61 cnf(i_0_968, plain, (c_Relation_Orel__comp(c_Relation_Oconverse(X1,X2,X2),X1,X2,X2,X2)=X1|~c_Equiv__Relations_Oequiv(X3,X1,X2))).
% 0.39/0.61 cnf(i_0_750, plain, (c_lessequals(X1,X2,X3)|~c_lessequals(c_Lattices_Oupper__semilattice__class_Osup(X1,X4,X3),X2,X3)|~class_Lattices_Oupper__semilattice(X3))).
% 0.39/0.61 cnf(i_0_1053, plain, (X1=X2|~c_in(c_Pair(X3,X3,tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Arrow__Order__Mirabelle_Obelow(X4,X1,X2),tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt))|~c_in(X4,c_Arrow__Order__Mirabelle_OLin,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_bool)))).
% 0.39/0.61 cnf(i_0_893, plain, (c_Pair(c_ATP__Linkup_Osko__Relation__XIdE__1__1(X1,X2),c_ATP__Linkup_Osko__Relation__XIdE__1__1(X1,X2),X2,X2)=X1|~c_in(X1,c_Relation_OId(X2),tc_prod(X2,X2)))).
% 0.39/0.61 cnf(i_0_821, plain, (c_in(X1,c_ATP__Linkup_Osko__Complete__Lattice__XUnionE__1__1(X1,X2,X3),X3)|~c_in(X1,c_Complete__Lattice_OSup__class_OSup(X2,tc_fun(X3,tc_bool)),X3))).
% 0.39/0.61 cnf(i_0_752, plain, (c_lessequals(X1,c_Lattices_Oupper__semilattice__class_Osup(X2,X3,X4),X4)|~c_lessequals(X1,X2,X4)|~class_Lattices_Oupper__semilattice(X4))).
% 0.39/0.61 cnf(i_0_772, plain, (c_Finite__Set_Ofinite(c_Complete__Lattice_OInf__class_OInf(X1,tc_fun(X2,tc_bool)),X2)|~c_Finite__Set_Ofinite(X3,X2)|~c_in(X3,X1,tc_fun(X2,tc_bool)))).
% 0.39/0.61 cnf(i_0_630, plain, (c_lessequals(c_Lattices_Olower__semilattice__class_Oinf(X1,X2,X3),X4,X3)|~class_Lattices_Olower__semilattice(X3)|~c_lessequals(X2,X4,X3))).
% 0.39/0.61 cnf(i_0_629, plain, (c_lessequals(c_Lattices_Olower__semilattice__class_Oinf(X1,X2,X3),X4,X3)|~class_Lattices_Olower__semilattice(X3)|~c_lessequals(X1,X4,X3))).
% 0.39/0.61 cnf(i_0_619, 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))|c_in(X2,X1,X4))).
% 0.39/0.61 cnf(i_0_620, 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))|c_in(X1,X4,X3))).
% 0.39/0.61 cnf(i_0_1024, plain, (c_in(c_Pair(X1,X1,X2,X2),c_Relation_OId__on(X3,X2),tc_prod(X2,X2))|~c_in(X1,X3,X2))).
% 0.39/0.61 cnf(i_0_1038, plain, (X1=X2|~c_in(c_Pair(X3,X3,tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Arrow__Order__Mirabelle_Oabove(X4,X1,X2),tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt))|~c_in(X4,c_Arrow__Order__Mirabelle_OLin,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_bool)))).
% 0.39/0.61 cnf(i_0_976, plain, (X1=X2|~c_in(c_Pair(X1,X2,X3,X3),c_Relation_OId__on(X4,X3),tc_prod(X3,X3)))).
% 0.39/0.61 cnf(i_0_560, plain, (c_lessequals(X1,X2,tc_fun(X3,tc_bool))|~c_lessequals(c_Set_Oinsert(X4,X1,X3),X2,tc_fun(X3,tc_bool)))).
% 0.39/0.61 cnf(i_0_804, plain, (c_in(X1,c_Complete__Lattice_OInf__class_OInf(X2,tc_fun(X3,tc_bool)),X3)|~c_in(X1,c_ATP__Linkup_Osko__Complete__Lattice__XInterI__1__1(X1,X2,X3),X3))).
% 0.39/0.61 cnf(i_0_613, plain, (c_Set_Oinsert(hAPP(X1,X2),c_Set_Oimage(X1,X3,X4,X5),X5)=c_Set_Oimage(X1,X3,X4,X5)|~c_in(X2,X3,X4))).
% 0.39/0.61 cnf(i_0_843, plain, (c_lessequals(X1,X2,X3)|~class_Orderings_Opreorder(X3)|~c_lessequals(X4,X2,X3)|~c_lessequals(X1,X4,X3))).
% 0.39/0.61 cnf(i_0_844, plain, (c_lessequals(X1,X2,X3)|~class_Orderings_Oorder(X3)|~c_lessequals(X4,X2,X3)|~c_lessequals(X1,X4,X3))).
% 0.39/0.61 cnf(i_0_561, plain, (c_lessequals(X1,c_Set_Oinsert(X2,X3,X4),tc_fun(X4,tc_bool))|~c_lessequals(X1,X3,tc_fun(X4,tc_bool)))).
% 0.39/0.61 cnf(i_0_819, plain, (c_in(c_ATP__Linkup_Osko__Wellfounded__XwfE__min__1__1(X1,X2,X3),X1,X3)|~c_Wellfounded_Owf(X2,X3)|~c_in(X4,X1,X3))).
% 0.39/0.61 cnf(i_0_820, plain, (c_in(c_ATP__Linkup_Osko__Wellfounded__Xwf__eq__minimal__1__1(X1,X2,X3),X1,X3)|~c_Wellfounded_Owf(X2,X3)|~c_in(X4,X1,X3))).
% 0.39/0.61 cnf(i_0_734, 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))).
% 0.39/0.61 cnf(i_0_768, plain, (c_Wellfounded_Owf(X1,X2)|~c_Wellfounded_Owf(c_Set_Oinsert(c_Pair(X3,X4,X2,X2),X1,tc_prod(X2,X2)),X2))).
% 0.39/0.61 cnf(i_0_625, 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)))).
% 0.39/0.61 cnf(i_0_626, 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)))).
% 0.39/0.61 cnf(i_0_809, plain, (c_in(X1,c_Wellfounded_Oacc(X2,X3),X3)|~c_in(c_ATP__Linkup_Osko__Wellfounded__Xnot__acc__down__1__1(X2,X1,X3),c_Wellfounded_Oacc(X2,X3),X3))).
% 0.39/0.61 cnf(i_0_806, plain, (c_in(X1,c_Wellfounded_Oacc(X2,X3),X3)|~c_in(c_ATP__Linkup_Osko__Wellfounded__Xacc__Xintros__1__1(X2,X1,X3),c_Wellfounded_Oacc(X2,X3),X3))).
% 0.39/0.61 cnf(i_0_1015, plain, (c_in(c_Relation_Oconverse(X1,tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Arrow__Order__Mirabelle_OLin,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_bool))|~c_in(X1,c_Arrow__Order__Mirabelle_OLin,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_bool)))).
% 0.39/0.62 cnf(i_0_838, plain, (c_Wellfounded_Owf(X1,X2)|~c_Wellfounded_Owf(X3,X2)|~c_lessequals(X1,X3,tc_fun(tc_prod(X2,X2),tc_bool)))).
% 0.39/0.62 cnf(i_0_554, 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))).
% 0.39/0.62 cnf(i_0_733, 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))).
% 0.39/0.62 cnf(i_0_553, 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))).
% 0.39/0.62 cnf(i_0_814, plain, (c_lessequals(X1,c_Complete__Lattice_OSup__class_OSup(X2,tc_fun(X3,tc_bool)),tc_fun(X3,tc_bool))|~c_in(X1,X2,tc_fun(X3,tc_bool)))).
% 0.39/0.62 cnf(i_0_801, plain, (c_lessequals(c_Complete__Lattice_OInf__class_OInf(X1,tc_fun(X2,tc_bool)),X3,tc_fun(X2,tc_bool))|~c_in(X3,X1,tc_fun(X2,tc_bool)))).
% 0.39/0.62 cnf(i_0_704, plain, (c_Relation_Otrans(c_Lattices_Olower__semilattice__class_Oinf(X1,X2,tc_fun(tc_prod(X3,X3),tc_bool)),X3)|~c_Relation_Otrans(X2,X3)|~c_Relation_Otrans(X1,X3))).
% 0.39/0.62 cnf(i_0_575, plain, (c_Relation_Osym(c_Lattices_Oupper__semilattice__class_Osup(X1,X2,tc_fun(tc_prod(X3,X3),tc_bool)),X3)|~c_Relation_Osym(X2,X3)|~c_Relation_Osym(X1,X3))).
% 0.39/0.62 cnf(i_0_647, plain, (c_Relation_Osym(c_Lattices_Olower__semilattice__class_Oinf(X1,X2,tc_fun(tc_prod(X3,X3),tc_bool)),X3)|~c_Relation_Osym(X2,X3)|~c_Relation_Osym(X1,X3))).
% 0.39/0.62 cnf(i_0_756, 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)))).
% 0.39/0.62 cnf(i_0_755, 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)))).
% 0.39/0.62 cnf(i_0_688, 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)))).
% 0.39/0.62 cnf(i_0_892, plain, (c_in(c_List_Osko__Equiv__Relations__XquotientE__1__1(X1,X2,X3,X4),X1,X4)|~c_in(X2,c_Equiv__Relations_Oquotient(X1,X3,X4),tc_fun(X4,tc_bool)))).
% 0.39/0.62 cnf(i_0_898, plain, (c_Pair(c_ATP__Linkup_Osko__Relation__XId__onE__1__1(X1,X2,X3),c_ATP__Linkup_Osko__Relation__XId__onE__1__1(X1,X2,X3),X3,X3)=X2|~c_in(X2,c_Relation_OId__on(X1,X3),tc_prod(X3,X3)))).
% 0.39/0.62 cnf(i_0_871, plain, (c_in(X1,X2,X3)|~c_lessequals(X4,X2,tc_fun(X3,tc_bool))|~c_in(X1,X4,X3))).
% 0.39/0.62 cnf(i_0_870, plain, (c_lessequals(hAPP(X1,X2),hAPP(X3,X2),X4)|~class_HOL_Oord(X4)|~c_lessequals(X1,X3,tc_fun(X5,X4)))).
% 0.39/0.62 cnf(i_0_705, 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))).
% 0.39/0.62 cnf(i_0_607, 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))).
% 0.39/0.62 cnf(i_0_897, plain, (c_in(c_ATP__Linkup_Osko__Relation__XId__onE__1__1(X1,X2,X3),X1,X3)|~c_in(X2,c_Relation_OId__on(X1,X3),tc_prod(X3,X3)))).
% 0.39/0.62 cnf(i_0_1023, plain, (c_in(X1,X2,X3)|~c_in(c_Pair(X1,X4,X3,X3),c_Relation_OId__on(X2,X3),tc_prod(X3,X3)))).
% 0.39/0.62 cnf(i_0_902, plain, (c_Nitpick_Orefl_H(X1,X2)|~c_in(c_Pair(c_Nitpick_Osko__Nitpick__Xrefl_H__def__1__1(X1,X2),c_Nitpick_Osko__Nitpick__Xrefl_H__def__1__1(X1,X2),X2,X2),X1,tc_prod(X2,X2)))).
% 0.39/0.62 cnf(i_0_685, 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)))).
% 0.39/0.62 cnf(i_0_723, 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))).
% 0.39/0.62 cnf(i_0_783, plain, (c_in(X1,c_FuncSet_OPi(X2,c_COMBK(X3,tc_fun(X4,tc_bool),X5),X5,X4),tc_fun(X5,X4))|c_in(c_FuncSet_Osko__FuncSet__XfuncsetI__1__1(X2,X3,X1,X5,X4),X2,X5))).
% 0.39/0.62 cnf(i_0_900, plain, (c_lessequals(X1,c_Relation_Orel__comp(c_Relation_Oconverse(X1,X2,X2),X1,X2,X2,X2),tc_fun(tc_prod(X2,X2),tc_bool))|~c_Relation_Orefl__on(X3,X1,X2))).
% 0.39/0.62 cnf(i_0_763, 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)))).
% 0.39/0.62 cnf(i_0_866, plain, (c_Transitive__Closure_Ortrancl(X1,X2)=c_Transitive__Closure_Ortrancl(X3,X2)|~c_lessequals(X1,c_Transitive__Closure_Ortrancl(X3,X2),tc_fun(tc_prod(X2,X2),tc_bool))|~c_lessequals(X3,X1,tc_fun(tc_prod(X2,X2),tc_bool)))).
% 0.39/0.62 cnf(i_0_658, plain, (c_in(X1,X2,X3)|c_in(X1,X4,X3)|~c_in(X1,c_Lattices_Oupper__semilattice__class_Osup(X4,X2,tc_fun(X3,tc_bool)),X3))).
% 0.39/0.62 cnf(i_0_1032, plain, (c_in(X1,X2,X3)|~c_in(c_Pair(X1,X4,X3,X5),c_Product__Type_OSigma(X2,X6,X3,X5),tc_prod(X3,X5)))).
% 0.39/0.62 cnf(i_0_597, plain, (c_lessequals(c_Lattices_Oupper__semilattice__class_Osup(X1,X2,X3),X4,X3)|~c_lessequals(X2,X4,X3)|~c_lessequals(X1,X4,X3)|~class_Lattices_Oupper__semilattice(X3))).
% 0.39/0.62 cnf(i_0_1010, plain, (c_in(c_Arrow__Order__Mirabelle_Omktop(X1,X2),c_Arrow__Order__Mirabelle_OLin,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_bool))|~c_in(X1,c_Arrow__Order__Mirabelle_OLin,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_bool)))).
% 0.39/0.62 cnf(i_0_807, plain, (hBOOL(hAPP(X1,X2))|~hBOOL(hAPP(X1,v_sko__Wellfounded__Xacc__Xinduct__1(X1,X3)))|~c_in(X2,c_Wellfounded_Oacc(X3,t_a),t_a))).
% 0.39/0.62 cnf(i_0_861, plain, (c_lessequals(X1,c_Product__Type_OSigma(X2,c_COMBK(X2,tc_fun(X3,tc_bool),X3),X3,X3),tc_fun(tc_prod(X3,X3),tc_bool))|~c_Relation_Orefl__on(X2,X1,X3))).
% 0.39/0.62 cnf(i_0_831, plain, (c_lessequals(X1,c_Product__Type_OSigma(X2,c_COMBK(X2,tc_fun(X3,tc_bool),X3),X3,X3),tc_fun(tc_prod(X3,X3),tc_bool))|~c_Equiv__Relations_Oequiv(X2,X1,X3))).
% 0.39/0.62 cnf(i_0_805, plain, (hBOOL(hAPP(X1,X2))|c_in(c_ATP__Linkup_Osko__Wellfounded__Xacc__induct__1__1(X1,X3,X4),c_Wellfounded_Oacc(X3,X4),X4)|~c_in(X2,c_Wellfounded_Oacc(X3,X4),X4))).
% 0.39/0.62 cnf(i_0_810, plain, (hBOOL(hAPP(X1,X2))|c_in(c_ATP__Linkup_Osko__Wellfounded__Xacc__induct__rule__1__1(X1,X3,X4),c_Wellfounded_Oacc(X3,X4),X4)|~c_in(X2,c_Wellfounded_Oacc(X3,X4),X4))).
% 0.39/0.62 cnf(i_0_932, plain, (c_in(X1,c_Relation_Orel__comp(X2,c_Transitive__Closure_Ortrancl(X2,X3),X3,X3,X3),tc_prod(X3,X3))|~c_in(X1,X2,tc_prod(X3,X3)))).
% 0.39/0.62 cnf(i_0_943, plain, (c_Wellfounded_Owf(c_Relation_Oconverse(c_Relation_Orel__comp(X1,c_Transitive__Closure_Ortrancl(X1,X2),X2,X2,X2),X2,X2),X2)|~c_Wellfounded_Owf(c_Relation_Oconverse(X1,X2,X2),X2))).
% 0.39/0.62 cnf(i_0_615, plain, (c_lessequals(X1,X2,tc_fun(X3,tc_bool))|c_in(X4,X1,X3)|~c_lessequals(X1,c_Set_Oinsert(X4,X2,X3),tc_fun(X3,tc_bool)))).
% 0.39/0.62 cnf(i_0_1011, plain, (c_in(c_Arrow__Order__Mirabelle_Omkbot(X1,X2),c_Arrow__Order__Mirabelle_OLin,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_bool))|~c_in(X1,c_Arrow__Order__Mirabelle_OLin,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_bool)))).
% 0.39/0.62 cnf(i_0_811, plain, (hBOOL(hAPP(X1,X2))|~hBOOL(hAPP(X1,v_sko__Wellfounded__Xacc__Xinducts__1(X1,X3)))|~c_in(X2,c_Wellfounded_Oacc(X3,t_a),t_a))).
% 0.39/0.62 cnf(i_0_651, plain, (c_in(X1,c_Lattices_Olower__semilattice__class_Oinf(X2,X3,tc_fun(X4,tc_bool)),X4)|~c_in(X1,X3,X4)|~c_in(X1,X2,X4))).
% 0.39/0.62 cnf(i_0_882, plain, (c_in(c_ATP__Linkup_Osko__Complete__Lattice__XUnionE__1__1(X1,X2,X3),X2,tc_fun(X3,tc_bool))|~c_in(X1,c_Complete__Lattice_OSup__class_OSup(X2,tc_fun(X3,tc_bool)),X3))).
% 0.39/0.62 cnf(i_0_760, 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)))).
% 0.39/0.62 cnf(i_0_816, plain, (c_in(c_ATP__Linkup_Osko__Relation__XImage__iff__1__1(X1,X2,X3,X4,X5),X1,X4)|~c_in(X2,c_Relation_OImage(X3,X1,X4,X5),X5))).
% 0.39/0.62 cnf(i_0_817, plain, (c_in(c_ATP__Linkup_Osko__Relation__XImageE__1__1(X1,X2,X3,X4,X5),X1,X4)|~c_in(X2,c_Relation_OImage(X3,X1,X4,X5),X5))).
% 0.39/0.62 cnf(i_0_915, plain, (c_in(X1,c_Wellfounded_Oacc(X2,X3),X3)|~c_in(c_Pair(X1,X4,X3,X3),c_Transitive__Closure_Ortrancl(X2,X3),tc_prod(X3,X3))|~c_in(X4,c_Wellfounded_Oacc(X2,X3),X3))).
% 0.39/0.62 cnf(i_0_1031, plain, (c_in(X1,hAPP(X2,X3),X4)|~c_in(c_Pair(X3,X1,X5,X4),c_Product__Type_OSigma(X6,X2,X5,X4),tc_prod(X5,X4)))).
% 0.39/0.62 cnf(i_0_964, plain, (c_Equiv__Relations_Oequiv(c_Relation_ODomain(X1,X2,X2),X1,X2)|c_Relation_Orel__comp(c_Relation_Oconverse(X1,X2,X2),X1,X2,X2,X2)!=X1)).
% 0.39/0.62 cnf(i_0_907, plain, (X1=X2|c_in(X1,c_Relation_ODomain(X3,X4,X4),X4)|~c_in(c_Pair(X1,X2,X4,X4),c_Transitive__Closure_Ortrancl(X3,X4),tc_prod(X4,X4)))).
% 0.39/0.62 cnf(i_0_1012, plain, (X1=X2|c_in(c_Arrow__Order__Mirabelle_Obelow(X3,X1,X2),c_Arrow__Order__Mirabelle_OLin,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_bool))|~c_in(X3,c_Arrow__Order__Mirabelle_OLin,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_bool)))).
% 0.39/0.62 cnf(i_0_840, 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)))).
% 0.39/0.62 cnf(i_0_762, plain, (c_lessequals(c_Set_Oimage(X1,X2,X3,X4),c_Set_Oimage(X1,X5,X3,X4),tc_fun(X4,tc_bool))|~c_lessequals(X2,X5,tc_fun(X3,tc_bool)))).
% 0.39/0.62 cnf(i_0_868, plain, (c_lessequals(c_Wellfounded_Oacc(X1,X2),c_Wellfounded_Oacc(X3,X2),tc_fun(X2,tc_bool))|~c_lessequals(X3,X1,tc_fun(tc_prod(X2,X2),tc_bool)))).
% 0.39/0.62 cnf(i_0_1034, plain, (c_in(c_Pair(X1,X1,X2,X2),X3,tc_prod(X2,X2))|~c_Relation_Orefl__on(X4,X3,X2)|~c_in(X1,X4,X2))).
% 0.39/0.62 cnf(i_0_1000, plain, (X1=X2|c_in(c_Pair(X3,X1,tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),X4,tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt))|~c_in(c_Pair(X3,X1,tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Arrow__Order__Mirabelle_Omktop(X4,X2),tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)))).
% 0.39/0.62 cnf(i_0_1007, plain, (X1=X2|c_in(c_Pair(X1,X3,tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),X4,tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt))|~c_in(c_Pair(X1,X3,tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Arrow__Order__Mirabelle_Omkbot(X4,X2),tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)))).
% 0.39/0.62 cnf(i_0_794, plain, (c_Relation_Orefl__on(X1,X2,X3)|~c_lessequals(X2,c_Product__Type_OSigma(X1,c_COMBK(X1,tc_fun(X3,tc_bool),X3),X3,X3),tc_fun(tc_prod(X3,X3),tc_bool))|~c_in(c_Pair(c_ATP__Linkup_Osko__Relation__Xrefl__on__def__1__1(X1,X2,X3),c_ATP__Linkup_Osko__Relation__Xrefl__on__def__1__1(X1,X2,X3),X3,X3),X2,tc_prod(X3,X3)))).
% 0.39/0.62 cnf(i_0_908, plain, (c_in(c_Pair(X1,c_ATP__Linkup_Osko__Relation__XDomain__iff__1__1(X1,X2,X3,X4),X3,X4),X2,tc_prod(X3,X4))|~c_in(X1,c_Relation_ODomain(X2,X3,X4),X3))).
% 0.39/0.62 cnf(i_0_909, plain, (c_in(c_Pair(X1,c_ATP__Linkup_Osko__Relation__XDomainE__1__1(X1,X2,X3,X4),X3,X4),X2,tc_prod(X3,X4))|~c_in(X1,c_Relation_ODomain(X2,X3,X4),X3))).
% 0.39/0.62 cnf(i_0_1016, plain, (X1=X2|c_in(c_Arrow__Order__Mirabelle_Oabove(X3,X1,X2),c_Arrow__Order__Mirabelle_OLin,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_bool))|~c_in(X3,c_Arrow__Order__Mirabelle_OLin,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_bool)))).
% 0.39/0.62 cnf(i_0_995, plain, (c_in(X1,c_Complete__Lattice_OSup__class_OSup(X2,tc_fun(X3,tc_bool)),X3)|~c_in(X4,X2,tc_fun(X3,tc_bool))|~c_in(X1,X4,X3))).
% 0.39/0.62 cnf(i_0_717, 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))|~c_in(X1,X2,X4))).
% 0.39/0.62 cnf(i_0_716, 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))|~c_in(X1,X3,X4))).
% 0.39/0.62 cnf(i_0_1029, plain, (c_in(X1,c_Relation_ODomain(X2,X3,X4),X3)|~c_in(c_Pair(X1,X5,X3,X4),X2,tc_prod(X3,X4)))).
% 0.39/0.62 cnf(i_0_793, plain, (c_Relation_Orefl__on(X1,X2,X3)|~c_lessequals(X2,c_Product__Type_OSigma(X1,c_COMBK(X1,tc_fun(X3,tc_bool),X3),X3,X3),tc_fun(tc_prod(X3,X3),tc_bool))|~c_in(c_Pair(c_ATP__Linkup_Osko__Relation__Xrefl__onI__1__1(X1,X2,X3),c_ATP__Linkup_Osko__Relation__Xrefl__onI__1__1(X1,X2,X3),X3,X3),X2,tc_prod(X3,X3)))).
% 0.39/0.62 cnf(i_0_1058, plain, (X1=X2|c_in(c_Pair(X3,X2,tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),X4,tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt))|~c_in(c_Pair(X3,X1,tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Arrow__Order__Mirabelle_Obelow(X4,X1,X2),tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt))|~c_in(X4,c_Arrow__Order__Mirabelle_OLin,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_bool)))).
% 0.39/0.62 cnf(i_0_1043, plain, (X1=X2|c_in(c_Pair(X2,X3,tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),X4,tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt))|~c_in(c_Pair(X1,X3,tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Arrow__Order__Mirabelle_Oabove(X4,X2,X1),tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt))|~c_in(X4,c_Arrow__Order__Mirabelle_OLin,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_bool)))).
% 0.39/0.62 cnf(i_0_928, plain, (c_in(c_Pair(X1,X2,X3,X4),c_Relation_Oconverse(X5,X4,X3),tc_prod(X3,X4))|~c_in(c_Pair(X2,X1,X4,X3),X5,tc_prod(X4,X3)))).
% 0.39/0.62 cnf(i_0_738, plain, (c_lessequals(c_Set_Oinsert(X1,X2,X3),X4,tc_fun(X3,tc_bool))|~c_lessequals(X2,X4,tc_fun(X3,tc_bool))|~c_in(X1,X4,X3))).
% 0.39/0.62 cnf(i_0_994, plain, (c_in(X1,X2,X3)|~c_in(X1,c_Complete__Lattice_OInf__class_OInf(X4,tc_fun(X3,tc_bool)),X3)|~c_in(X2,X4,tc_fun(X3,tc_bool)))).
% 0.39/0.62 cnf(i_0_787, plain, (c_lessequals(c_Relation_Orel__comp(c_Relation_Oconverse(X1,X2,X2),X1,X2,X2,X2),X1,tc_fun(tc_prod(X2,X2),tc_bool))|~c_Relation_Osym(X1,X2)|~c_Relation_Otrans(X1,X2))).
% 0.39/0.62 cnf(i_0_672, plain, (c_Wellfounded_Owf(c_Lattices_Oupper__semilattice__class_Osup(X1,X2,tc_fun(tc_prod(X3,X3),tc_bool)),X3)|~c_Wellfounded_Owf(X2,X3)|~c_Wellfounded_Owf(X1,X3)|~c_lessequals(c_Relation_Orel__comp(X1,X2,X3,X3,X3),X1,tc_fun(tc_prod(X3,X3),tc_bool)))).
% 0.39/0.62 cnf(i_0_927, plain, (c_in(c_Pair(X1,X2,X3,X4),X5,tc_prod(X3,X4))|~c_in(c_Pair(X2,X1,X4,X3),c_Relation_Oconverse(X5,X3,X4),tc_prod(X4,X3)))).
% 0.39/0.62 cnf(i_0_818, plain, (X1=X2|c_Product__Type_OSigma(X1,c_COMBK(X3,tc_fun(X4,tc_bool),X5),X5,X4)!=c_Product__Type_OSigma(X2,c_COMBK(X3,tc_fun(X4,tc_bool),X5),X5,X4)|~c_in(X6,X3,X4))).
% 0.39/0.62 cnf(i_0_905, plain, (c_in(c_Pair(c_ATP__Linkup_Osko__Relation__XImage__iff__1__1(X1,X2,X3,X4,X5),X2,X4,X5),X3,tc_prod(X4,X5))|~c_in(X2,c_Relation_OImage(X3,X1,X4,X5),X5))).
% 0.39/0.62 cnf(i_0_906, plain, (c_in(c_Pair(c_ATP__Linkup_Osko__Relation__XImageE__1__1(X1,X2,X3,X4,X5),X2,X4,X5),X3,tc_prod(X4,X5))|~c_in(X2,c_Relation_OImage(X3,X1,X4,X5),X5))).
% 0.39/0.62 cnf(i_0_1048, plain, (X1=X2|c_in(c_Pair(X2,X1,tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Arrow__Order__Mirabelle_Obelow(X3,X2,X1),tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt))|~c_in(X3,c_Arrow__Order__Mirabelle_OLin,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_bool)))).
% 0.39/0.62 cnf(i_0_855, plain, (c_lessequals(c_Transitive__Closure_Ortrancl(X1,X2),c_Transitive__Closure_Ortrancl(X3,X2),tc_fun(tc_prod(X2,X2),tc_bool))|~c_lessequals(X1,X3,tc_fun(tc_prod(X2,X2),tc_bool)))).
% 0.39/0.62 cnf(i_0_834, plain, (c_lessequals(c_Relation_ODomain(X1,X2,X3),c_Relation_ODomain(X4,X2,X3),tc_fun(X2,tc_bool))|~c_lessequals(X1,X4,tc_fun(tc_prod(X2,X3),tc_bool)))).
% 0.39/0.62 cnf(i_0_899, plain, (c_Recdef_Ocut(X1,X2,X3,X4,X5)=c_Recdef_Ocut(X6,X2,X3,X4,X5)|c_in(c_Pair(c_List_Osko__Recdef__Xcuts__eq__1__1(X1,X6,X2,X3,X4,X5),X3,X4,X4),X2,tc_prod(X4,X4)))).
% 0.39/0.62 cnf(i_0_779, plain, (c_Wellfounded_Owf(c_Set_Oinsert(c_Pair(X1,X2,X3,X3),X4,tc_prod(X3,X3)),X3)|c_in(c_Pair(X2,X1,X3,X3),c_Transitive__Closure_Ortrancl(X4,X3),tc_prod(X3,X3))|~c_Wellfounded_Owf(X4,X3))).
% 0.39/0.62 cnf(i_0_1027, plain, (c_in(X1,c_Relation_ODomain(c_Relation_Oconverse(X2,X3,X4),X4,X3),X4)|~c_in(c_Pair(X5,X1,X3,X4),X2,tc_prod(X3,X4)))).
% 0.39/0.62 cnf(i_0_812, plain, (hBOOL(hAPP(X1,X2))|~hBOOL(hAPP(X1,c_ATP__Linkup_Osko__Wellfounded__Xacc__induct__1__1(X1,X3,X4)))|~c_in(X2,c_Wellfounded_Oacc(X3,X4),X4))).
% 0.39/0.62 cnf(i_0_808, plain, (hBOOL(hAPP(X1,X2))|~hBOOL(hAPP(X1,c_ATP__Linkup_Osko__Wellfounded__Xacc__induct__rule__1__1(X1,X3,X4)))|~c_in(X2,c_Wellfounded_Oacc(X3,X4),X4))).
% 0.39/0.62 cnf(i_0_784, plain, (c_lessequals(c_Set_Oimage(X1,X2,X3,X4),X5,tc_fun(X4,tc_bool))|~c_in(X1,c_FuncSet_OPi(X2,c_COMBK(X5,tc_fun(X4,tc_bool),X3),X3,X4),tc_fun(X3,X4)))).
% 0.39/0.62 cnf(i_0_792, plain, (c_Finite__Set_Ofinite(X1,X2)|~c_Finite__Set_Ofinite(X3,X2)|~c_lessequals(X4,c_Product__Type_OSigma(X3,c_COMBK(X3,tc_fun(X2,tc_bool),X2),X2,X2),tc_fun(tc_prod(X2,X2),tc_bool))|~c_in(X1,c_Equiv__Relations_Oquotient(X3,X4,X2),tc_fun(X2,tc_bool)))).
% 0.39/0.62 cnf(i_0_790, plain, (c_Relation_Orefl__on(X1,X2,X3)|c_in(c_ATP__Linkup_Osko__Relation__Xrefl__on__def__1__1(X1,X2,X3),X1,X3)|~c_lessequals(X2,c_Product__Type_OSigma(X1,c_COMBK(X1,tc_fun(X3,tc_bool),X3),X3,X3),tc_fun(tc_prod(X3,X3),tc_bool)))).
% 0.39/0.62 cnf(i_0_921, plain, (c_in(c_Pair(c_ATP__Linkup_Osko__Relation__XRange__iff__1__1(X1,X2,X3,X4),X1,X4,X3),X2,tc_prod(X4,X3))|~c_in(X1,c_Relation_ODomain(c_Relation_Oconverse(X2,X4,X3),X3,X4),X3))).
% 0.39/0.62 cnf(i_0_922, plain, (c_in(c_Pair(c_ATP__Linkup_Osko__Relation__XRangeE__1__1(X1,X2,X3,X4),X1,X4,X3),X2,tc_prod(X4,X3))|~c_in(X1,c_Relation_ODomain(c_Relation_Oconverse(X2,X4,X3),X3,X4),X3))).
% 0.39/0.62 cnf(i_0_1063, plain, (X1=X2|c_in(c_Pair(X1,X2,tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Arrow__Order__Mirabelle_Oabove(X3,X1,X2),tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt))|~c_in(X3,c_Arrow__Order__Mirabelle_OLin,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_bool)))).
% 0.39/0.62 cnf(i_0_846, plain, (c_lessequals(c_Transitive__Closure_Ortrancl(X1,X2),c_Transitive__Closure_Ortrancl(X3,X2),tc_fun(tc_prod(X2,X2),tc_bool))|~c_lessequals(X1,c_Transitive__Closure_Ortrancl(X3,X2),tc_fun(tc_prod(X2,X2),tc_bool)))).
% 0.39/0.62 cnf(i_0_579, plain, (c_in(X1,c_Transitive__Closure_Ortrancl(c_Lattices_Oupper__semilattice__class_Osup(X2,X3,tc_fun(tc_prod(X4,X4),tc_bool)),X4),tc_prod(X4,X4))|~c_in(X1,c_Transitive__Closure_Ortrancl(X3,X4),tc_prod(X4,X4)))).
% 0.39/0.62 cnf(i_0_580, plain, (c_in(X1,c_Transitive__Closure_Ortrancl(c_Lattices_Oupper__semilattice__class_Osup(X2,X3,tc_fun(tc_prod(X4,X4),tc_bool)),X4),tc_prod(X4,X4))|~c_in(X1,c_Transitive__Closure_Ortrancl(X2,X4),tc_prod(X4,X4)))).
% 0.39/0.62 cnf(i_0_693, plain, (c_Relation_Orefl__on(c_Lattices_Oupper__semilattice__class_Osup(X1,X2,tc_fun(X3,tc_bool)),c_Lattices_Oupper__semilattice__class_Osup(X4,X5,tc_fun(tc_prod(X3,X3),tc_bool)),X3)|~c_Relation_Orefl__on(X2,X5,X3)|~c_Relation_Orefl__on(X1,X4,X3))).
% 0.39/0.62 cnf(i_0_714, plain, (c_Relation_Orefl__on(c_Lattices_Olower__semilattice__class_Oinf(X1,X2,tc_fun(X3,tc_bool)),c_Lattices_Olower__semilattice__class_Oinf(X4,X5,tc_fun(tc_prod(X3,X3),tc_bool)),X3)|~c_Relation_Orefl__on(X2,X5,X3)|~c_Relation_Orefl__on(X1,X4,X3))).
% 0.39/0.62 cnf(i_0_930, plain, (hAPP(c_Recdef_Ocut(X1,X2,X3,X4,X5),X6)=hAPP(X1,X6)|~c_in(c_Pair(X6,X3,X4,X4),X2,tc_prod(X4,X4)))).
% 0.39/0.62 cnf(i_0_791, plain, (c_Relation_Orefl__on(X1,X2,X3)|c_in(c_ATP__Linkup_Osko__Relation__Xrefl__onI__1__1(X1,X2,X3),X1,X3)|~c_lessequals(X2,c_Product__Type_OSigma(X1,c_COMBK(X1,tc_fun(X3,tc_bool),X3),X3,X3),tc_fun(tc_prod(X3,X3),tc_bool)))).
% 0.39/0.62 cnf(i_0_884, plain, (c_in(c_Pair(X1,X2,X3,X3),c_Transitive__Closure_Ortrancl(X4,X3),tc_prod(X3,X3))|~c_in(c_Pair(X2,X1,X3,X3),c_Transitive__Closure_Ortrancl(c_Relation_Oconverse(X4,X3,X3),X3),tc_prod(X3,X3)))).
% 0.39/0.62 cnf(i_0_1056, plain, (X1=X2|X3=X2|X2=X4|c_in(c_Pair(X1,X3,tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),X5,tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt))|~c_in(c_Pair(X1,X3,tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Arrow__Order__Mirabelle_Obelow(X5,X2,X4),tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt))|~c_in(X5,c_Arrow__Order__Mirabelle_OLin,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_bool)))).
% 0.39/0.62 cnf(i_0_1017, plain, (c_in(c_Pair(X1,X2,X3,X4),c_Product__Type_OSigma(X5,X6,X3,X4),tc_prod(X3,X4))|~c_in(X2,hAPP(X6,X1),X4)|~c_in(X1,X5,X3))).
% 0.39/0.62 cnf(i_0_1035, plain, (c_in(X1,X2,X3)|~c_Relation_Orefl__on(X2,X4,X3)|~c_in(c_Pair(X5,X1,X3,X3),X4,tc_prod(X3,X3)))).
% 0.39/0.62 cnf(i_0_730, 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)))).
% 0.39/0.62 cnf(i_0_1036, plain, (c_in(X1,X2,X3)|~c_Relation_Orefl__on(X2,X4,X3)|~c_in(c_Pair(X1,X5,X3,X3),X4,tc_prod(X3,X3)))).
% 0.39/0.62 cnf(i_0_1025, plain, (c_in(X1,X2,X3)|~c_Equiv__Relations_Oequiv(X2,X4,X3)|~c_in(c_Pair(X5,X1,X3,X3),X4,tc_prod(X3,X3)))).
% 0.39/0.62 cnf(i_0_1026, plain, (c_in(X1,X2,X3)|~c_Equiv__Relations_Oequiv(X2,X4,X3)|~c_in(c_Pair(X1,X5,X3,X3),X4,tc_prod(X3,X3)))).
% 0.39/0.62 cnf(i_0_558, plain, (c_in(hAPP(X1,X2),X3,X4)|~c_lessequals(c_Set_Oimage(X1,X5,X6,X4),X3,tc_fun(X4,tc_bool))|~c_in(X2,X5,X6))).
% 0.39/0.62 cnf(i_0_686, 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)))).
% 0.39/0.62 cnf(i_0_593, 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)))).
% 0.39/0.62 cnf(i_0_1041, plain, (X1=X2|X3=X2|X2=X4|c_in(c_Pair(X1,X3,tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),X5,tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt))|~c_in(c_Pair(X1,X3,tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Arrow__Order__Mirabelle_Oabove(X5,X4,X2),tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt))|~c_in(X5,c_Arrow__Order__Mirabelle_OLin,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_bool)))).
% 0.39/0.62 cnf(i_0_1057, plain, (X1=X2|X1=X3|X2=X3|c_in(c_Pair(X3,X1,tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),X4,tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt))|~c_in(c_Pair(X2,X1,tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Arrow__Order__Mirabelle_Obelow(X4,X2,X3),tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt))|~c_in(X4,c_Arrow__Order__Mirabelle_OLin,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_bool)))).
% 0.39/0.62 cnf(i_0_1042, plain, (X1=X2|X1=X3|X2=X3|c_in(c_Pair(X1,X3,tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),X4,tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt))|~c_in(c_Pair(X1,X2,tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Arrow__Order__Mirabelle_Oabove(X4,X3,X2),tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt))|~c_in(X4,c_Arrow__Order__Mirabelle_OLin,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_bool)))).
% 0.39/0.62 cnf(i_0_869, plain, (c_Recdef_Ocut(X1,X2,X3,X4,X5)=c_Recdef_Ocut(X6,X2,X3,X4,X5)|hAPP(X1,c_List_Osko__Recdef__Xcuts__eq__1__1(X1,X6,X2,X3,X4,X5))!=hAPP(X6,c_List_Osko__Recdef__Xcuts__eq__1__1(X1,X6,X2,X3,X4,X5)))).
% 0.39/0.62 cnf(i_0_883, plain, (c_in(c_Pair(X1,X2,X3,X3),c_Transitive__Closure_Ortrancl(c_Relation_Oconverse(X4,X3,X3),X3),tc_prod(X3,X3))|~c_in(c_Pair(X2,X1,X3,X3),c_Transitive__Closure_Ortrancl(X4,X3),tc_prod(X3,X3)))).
% 0.39/0.62 cnf(i_0_719, 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)))).
% 0.39/0.62 cnf(i_0_983, plain, (c_in(c_Pair(X1,X2,X3,X3),X4,tc_prod(X3,X3))|~c_Relation_Osym(X4,X3)|~c_in(c_Pair(X2,X1,X3,X3),X4,tc_prod(X3,X3)))).
% 0.39/0.62 cnf(i_0_991, plain, (c_in(hAPP(X1,X2),hAPP(X3,X2),X4)|~c_in(X1,c_FuncSet_OPi(X5,X3,X6,X4),tc_fun(X6,X4))|~c_in(X2,X5,X6))).
% 0.39/0.62 cnf(i_0_1021, plain, (c_in(X1,c_Relation_OImage(X2,X3,X4,X5),X5)|~c_in(c_Pair(X6,X1,X4,X5),X2,tc_prod(X4,X5))|~c_in(X6,X3,X4))).
% 0.39/0.62 cnf(i_0_887, plain, (c_in(X1,c_FuncSet_OPi(X2,X3,X4,X5),tc_fun(X4,X5))|~c_in(hAPP(X1,c_FuncSet_Osko__FuncSet__XPi__I_H__1__1(X2,X3,X1,X4,X5)),hAPP(X3,c_FuncSet_Osko__FuncSet__XPi__I_H__1__1(X2,X3,X1,X4,X5)),X5))).
% 0.39/0.62 cnf(i_0_889, plain, (c_in(X1,c_FuncSet_OPi(X2,X3,X4,X5),tc_fun(X4,X5))|~c_in(hAPP(X1,c_FuncSet_Osko__FuncSet__XPi__I__1__1(X2,X3,X1,X4,X5)),hAPP(X3,c_FuncSet_Osko__FuncSet__XPi__I__1__1(X2,X3,X1,X4,X5)),X5))).
% 0.39/0.62 cnf(i_0_876, plain, (c_in(c_Pair(X1,X2,X3,X3),c_Transitive__Closure_Ortrancl(X4,X3),tc_prod(X3,X3))|~c_in(c_Pair(X1,X2,X3,X3),c_Relation_Orel__comp(X4,c_Transitive__Closure_Ortrancl(X4,X3),X3,X3,X3),tc_prod(X3,X3)))).
% 0.39/0.62 cnf(i_0_795, plain, (X1=X2|c_in(c_Pair(X1,X2,X3,X3),c_Relation_Orel__comp(X4,c_Transitive__Closure_Ortrancl(X4,X3),X3,X3,X3),tc_prod(X3,X3))|~c_in(c_Pair(X1,X2,X3,X3),c_Transitive__Closure_Ortrancl(X4,X3),tc_prod(X3,X3)))).
% 0.39/0.62 cnf(i_0_997, plain, (X1=X2|X3=X2|c_in(c_Pair(X1,X3,tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Arrow__Order__Mirabelle_Omktop(X4,X2),tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt))|~c_in(c_Pair(X1,X3,tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),X4,tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)))).
% 0.39/0.62 cnf(i_0_759, 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)))).
% 0.39/0.62 cnf(i_0_781, plain, (c_lessequals(c_Product__Type_OSigma(X1,X2,X3,X4),c_Product__Type_OSigma(X5,X6,X3,X4),tc_fun(tc_prod(X3,X4),tc_bool))|c_in(c_ATP__Linkup_Osko__Product__Type__XSigma__mono__1__1(X1,X2,X6,X3,X4),X1,X3)|~c_lessequals(X1,X5,tc_fun(X3,tc_bool)))).
% 0.39/0.62 cnf(i_0_782, plain, (c_in(X1,c_FuncSet_OPi(X2,c_COMBK(X3,tc_fun(X4,tc_bool),X5),X5,X4),tc_fun(X5,X4))|~c_in(hAPP(X1,c_FuncSet_Osko__FuncSet__XfuncsetI__1__1(X2,X3,X1,X5,X4)),X3,X4))).
% 0.39/0.62 cnf(i_0_1005, plain, (X1=X2|X3=X2|c_in(c_Pair(X1,X3,tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Arrow__Order__Mirabelle_Omkbot(X4,X2),tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt))|~c_in(c_Pair(X1,X3,tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),X4,tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)))).
% 0.39/0.62 cnf(i_0_1004, plain, (X1=X2|X2=X3|c_in(c_Pair(X1,X2,tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Arrow__Order__Mirabelle_Omkbot(X4,X3),tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt))|~c_in(c_Pair(X1,X2,tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),X4,tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)))).
% 0.39/0.62 cnf(i_0_996, plain, (X1=X2|X1=X3|c_in(c_Pair(X1,X2,tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Arrow__Order__Mirabelle_Omktop(X4,X3),tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt))|~c_in(c_Pair(X1,X2,tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),X4,tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)))).
% 0.39/0.62 cnf(i_0_1019, plain, (c_in(X1,c_Wellfounded_Oacc(X2,X3),X3)|~c_in(c_Pair(X1,X4,X3,X3),X2,tc_prod(X3,X3))|~c_in(X4,c_Wellfounded_Oacc(X2,X3),X3))).
% 0.39/0.62 cnf(i_0_1071, plain, (X1=X2|c_in(c_Pair(X1,X2,tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),X3,tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt))|c_in(c_Pair(X2,X1,tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),X3,tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt))|~c_in(X3,c_Arrow__Order__Mirabelle_OLin,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_bool)))).
% 0.39/0.62 cnf(i_0_786, plain, (c_lessequals(c_Transitive__Closure_Ortrancl(X1,X2),X3,tc_fun(tc_prod(X2,X2),tc_bool))|~c_lessequals(c_Relation_Orel__comp(c_Lattices_Olower__semilattice__class_Oinf(c_Transitive__Closure_Ortrancl(X1,X2),X3,tc_fun(tc_prod(X2,X2),tc_bool)),X1,X2,X2,X2),X3,tc_fun(tc_prod(X2,X2),tc_bool))|~c_lessequals(c_Relation_OId(X2),X3,tc_fun(tc_prod(X2,X2),tc_bool)))).
% 0.39/0.62 cnf(i_0_859, plain, (c_lessequals(X1,X2,tc_fun(X3,tc_bool))|~c_lessequals(c_Product__Type_OSigma(X1,c_COMBK(X4,tc_fun(X5,tc_bool),X3),X3,X5),c_Product__Type_OSigma(X2,c_COMBK(X4,tc_fun(X5,tc_bool),X3),X3,X5),tc_fun(tc_prod(X3,X5),tc_bool))|~c_in(X6,X4,X5))).
% 0.39/0.62 cnf(i_0_833, plain, (c_lessequals(c_Relation_OImage(X1,X2,X3,X4),c_Relation_OImage(X5,X6,X3,X4),tc_fun(X4,tc_bool))|~c_lessequals(X1,X5,tc_fun(tc_prod(X3,X4),tc_bool))|~c_lessequals(X2,X6,tc_fun(X3,tc_bool)))).
% 0.39/0.62 cnf(i_0_918, plain, (hBOOL(hAPP(X1,X2))|hBOOL(hAPP(X1,X3))|~c_in(c_Pair(X3,v_sko__Wellfounded__Xacc__Xinduct__1(X1,X4),t_a,t_a),X4,tc_prod(t_a,t_a))|~c_in(X2,c_Wellfounded_Oacc(X4,t_a),t_a))).
% 0.39/0.62 cnf(i_0_993, plain, (c_in(c_Pair(X1,X2,X3,X3),X4,tc_prod(X3,X3))|~c_Equiv__Relations_Oequiv(X5,X4,X3)|~c_in(X6,c_Equiv__Relations_Oquotient(X5,X4,X3),tc_fun(X3,tc_bool))|~c_in(X1,X6,X3)|~c_in(X2,X6,X3))).
% 0.39/0.62 cnf(i_0_881, plain, (c_in(c_Pair(c_ATP__Linkup_Osko__Transitive__Closure__Xirrefl__trancl__rD__1__1(X1,X2),c_ATP__Linkup_Osko__Transitive__Closure__Xirrefl__trancl__rD__1__1(X1,X2),X2,X2),c_Relation_Orel__comp(X1,c_Transitive__Closure_Ortrancl(X1,X2),X2,X2,X2),tc_prod(X2,X2))|~c_in(c_Pair(X3,X3,X2,X2),X1,tc_prod(X2,X2)))).
% 0.39/0.62 cnf(i_0_981, plain, (c_in(c_Pair(X1,X2,X3,X3),c_Relation_Oinv__image(X4,X5,X6,X3),tc_prod(X3,X3))|~c_in(c_Pair(hAPP(X5,X1),hAPP(X5,X2),X6,X6),X4,tc_prod(X6,X6)))).
% 0.39/0.62 cnf(i_0_982, plain, (c_in(c_Pair(hAPP(X1,X2),hAPP(X1,X3),X4,X4),X5,tc_prod(X4,X4))|~c_in(c_Pair(X2,X3,X6,X6),c_Relation_Oinv__image(X5,X1,X4,X6),tc_prod(X6,X6)))).
% 0.39/0.62 cnf(i_0_864, plain, (c_lessequals(c_Relation_OImage(X1,X2,X3,X4),X5,tc_fun(X4,tc_bool))|~c_lessequals(X1,c_Product__Type_OSigma(X6,c_COMBK(X5,tc_fun(X4,tc_bool),X3),X3,X4),tc_fun(tc_prod(X3,X4),tc_bool)))).
% 0.39/0.62 cnf(i_0_913, plain, (hBOOL(hAPP(X1,X2))|hBOOL(hAPP(X1,X3))|~c_in(c_Pair(X3,v_sko__Wellfounded__Xacc__Xinducts__1(X1,X4),t_a,t_a),X4,tc_prod(t_a,t_a))|~c_in(X2,c_Wellfounded_Oacc(X4,t_a),t_a))).
% 0.39/0.62 cnf(i_0_888, plain, (c_in(hAPP(X1,X2),X3,X4)|~c_in(X1,c_FuncSet_OPi(X5,c_COMBK(X3,tc_fun(X4,tc_bool),X6),X6,X4),tc_fun(X6,X4))|~c_in(X2,X5,X6))).
% 0.39/0.62 cnf(i_0_770, plain, (c_Wellfounded_Owf(c_Lattices_Oupper__semilattice__class_Osup(X1,X2,tc_fun(tc_prod(X3,X3),tc_bool)),X3)|~c_Wellfounded_Owf(c_Lattices_Oupper__semilattice__class_Osup(X2,c_Relation_Orel__comp(c_Lattices_Oupper__semilattice__class_Osup(X1,X2,tc_fun(tc_prod(X3,X3),tc_bool)),X1,X3,X3,X3),tc_fun(tc_prod(X3,X3),tc_bool)),X3))).
% 0.39/0.62 cnf(i_0_912, plain, (hBOOL(hAPP(X1,X2))|c_in(X3,c_Wellfounded_Oacc(X4,t_a),t_a)|~c_in(c_Pair(X3,v_sko__Wellfounded__Xacc__Xinduct__1(X1,X4),t_a,t_a),X4,tc_prod(t_a,t_a))|~c_in(X2,c_Wellfounded_Oacc(X4,t_a),t_a))).
% 0.39/0.62 cnf(i_0_914, plain, (hBOOL(hAPP(X1,X2))|c_in(X3,c_Wellfounded_Oacc(X4,t_a),t_a)|~c_in(c_Pair(X3,v_sko__Wellfounded__Xacc__Xinducts__1(X1,X4),t_a,t_a),X4,tc_prod(t_a,t_a))|~c_in(X2,c_Wellfounded_Oacc(X4,t_a),t_a))).
% 0.39/0.62 cnf(i_0_977, plain, (hAPP(X1,X2)=hAPP(X3,X2)|c_Recdef_Ocut(X1,X4,X5,X6,X7)!=c_Recdef_Ocut(X3,X4,X5,X6,X7)|~c_in(c_Pair(X2,X5,X6,X6),X4,tc_prod(X6,X6)))).
% 0.39/0.62 cnf(i_0_911, plain, (hBOOL(hAPP(X1,X2))|hBOOL(hAPP(X1,X3))|~c_in(c_Pair(X3,c_ATP__Linkup_Osko__Wellfounded__Xacc__induct__1__1(X1,X4,X5),X5,X5),X4,tc_prod(X5,X5))|~c_in(X2,c_Wellfounded_Oacc(X4,X5),X5))).
% 0.39/0.62 cnf(i_0_1033, plain, (X1=X2|c_in(c_Pair(X1,X2,X3,X3),X4,tc_prod(X3,X3))|c_in(c_Pair(X2,X1,X3,X3),X4,tc_prod(X3,X3))|~c_Relation_Ototal__on(X5,X4,X3)|~c_in(X2,X5,X3)|~c_in(X1,X5,X3))).
% 0.39/0.62 cnf(i_0_788, plain, (c_Wellfounded_Owf(X1,X2)|c_in(c_ATP__Linkup_Osko__Wellfounded__XwfI__1__1(X3,X4,X1,X2),X4,X2)|~c_lessequals(X1,c_Product__Type_OSigma(X3,c_COMBK(X4,tc_fun(X2,tc_bool),X2),X2,X2),tc_fun(tc_prod(X2,X2),tc_bool)))).
% 0.39/0.62 cnf(i_0_789, plain, (c_Wellfounded_Owf(X1,X2)|c_in(c_ATP__Linkup_Osko__Wellfounded__XwfI__1__1(X3,X4,X1,X2),X3,X2)|~c_lessequals(X1,c_Product__Type_OSigma(X3,c_COMBK(X4,tc_fun(X2,tc_bool),X2),X2,X2),tc_fun(tc_prod(X2,X2),tc_bool)))).
% 0.39/0.62 cnf(i_0_858, plain, (c_lessequals(c_Product__Type_OSigma(X1,c_COMBK(X2,tc_fun(X3,tc_bool),X4),X4,X3),c_Product__Type_OSigma(X5,c_COMBK(X2,tc_fun(X3,tc_bool),X4),X4,X3),tc_fun(tc_prod(X4,X3),tc_bool))|~c_lessequals(X1,X5,tc_fun(X4,tc_bool))|~c_in(X6,X2,X3))).
% 0.39/0.62 cnf(i_0_919, plain, (hBOOL(hAPP(X1,X2))|hBOOL(hAPP(X1,X3))|~c_in(c_Pair(X3,c_ATP__Linkup_Osko__Wellfounded__Xacc__induct__rule__1__1(X1,X4,X5),X5,X5),X4,tc_prod(X5,X5))|~c_in(X2,c_Wellfounded_Oacc(X4,X5),X5))).
% 0.39/0.62 cnf(i_0_769, plain, (c_Wellfounded_Owf(c_Lattices_Oupper__semilattice__class_Osup(X1,c_Relation_Orel__comp(c_Lattices_Oupper__semilattice__class_Osup(X2,X1,tc_fun(tc_prod(X3,X3),tc_bool)),X2,X3,X3,X3),tc_fun(tc_prod(X3,X3),tc_bool)),X3)|~c_Wellfounded_Owf(c_Lattices_Oupper__semilattice__class_Osup(X2,X1,tc_fun(tc_prod(X3,X3),tc_bool)),X3))).
% 0.39/0.62 cnf(i_0_885, plain, (c_in(c_Pair(X1,c_ATP__Linkup_Osko__Relation__Xrel__compEpair__1__1(X1,X2,X3,X4,X5,X6,X7),X5,X7),X3,tc_prod(X5,X7))|~c_in(c_Pair(X1,X2,X5,X6),c_Relation_Orel__comp(X3,X4,X5,X7,X6),tc_prod(X5,X6)))).
% 0.39/0.62 cnf(i_0_886, plain, (c_in(c_Pair(c_ATP__Linkup_Osko__Relation__Xrel__compEpair__1__1(X1,X2,X3,X4,X5,X6,X7),X2,X7,X6),X4,tc_prod(X7,X6))|~c_in(c_Pair(X1,X2,X5,X6),c_Relation_Orel__comp(X3,X4,X5,X7,X6),tc_prod(X5,X6)))).
% 0.39/0.62 cnf(i_0_879, plain, (c_in(c_Pair(X1,c_ATP__Linkup_Osko__Transitive__Closure__XtranclD__1__1(X2,X1,X3,X4),X4,X4),X2,tc_prod(X4,X4))|~c_in(c_Pair(X1,X3,X4,X4),c_Relation_Orel__comp(X2,c_Transitive__Closure_Ortrancl(X2,X4),X4,X4,X4),tc_prod(X4,X4)))).
% 0.39/0.62 cnf(i_0_673, plain, (c_lessequals(c_Relation_Orel__comp(X1,c_Transitive__Closure_Ortrancl(X1,X2),X2,X2,X2),X3,tc_fun(tc_prod(X2,X2),tc_bool))|~c_lessequals(c_Relation_Orel__comp(c_Lattices_Olower__semilattice__class_Oinf(c_Relation_Orel__comp(X1,c_Transitive__Closure_Ortrancl(X1,X2),X2,X2,X2),X3,tc_fun(tc_prod(X2,X2),tc_bool)),X1,X2,X2,X2),X3,tc_fun(tc_prod(X2,X2),tc_bool))|~c_lessequals(X1,X3,tc_fun(tc_prod(X2,X2),tc_bool)))).
% 0.39/0.62 cnf(i_0_992, plain, (X1=X2|~c_Equiv__Relations_Oequiv(X3,X4,X5)|~c_in(X2,c_Equiv__Relations_Oquotient(X3,X4,X5),tc_fun(X5,tc_bool))|~c_in(X1,c_Equiv__Relations_Oquotient(X3,X4,X5),tc_fun(X5,tc_bool))|~c_in(c_Pair(X6,X7,X5,X5),X4,tc_prod(X5,X5))|~c_in(X7,X2,X5)|~c_in(X6,X1,X5))).
% 0.39/0.62 cnf(i_0_862, plain, (c_lessequals(c_Relation_Orel__comp(X1,X2,X3,X4,X5),c_Relation_Orel__comp(X6,X7,X3,X4,X5),tc_fun(tc_prod(X3,X5),tc_bool))|~c_lessequals(X2,X7,tc_fun(tc_prod(X4,X5),tc_bool))|~c_lessequals(X1,X6,tc_fun(tc_prod(X3,X4),tc_bool)))).
% 0.39/0.62 cnf(i_0_1054, plain, (X1=X2|X3=X2|c_in(c_Pair(X2,X3,tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Arrow__Order__Mirabelle_Obelow(X4,X2,X1),tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt))|~c_in(c_Pair(X1,X3,tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),X4,tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt))|~c_in(X4,c_Arrow__Order__Mirabelle_OLin,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_bool)))).
% 0.39/0.62 cnf(i_0_670, plain, (c_in(c_Pair(c_ATP__Linkup_Osko__Transitive__Closure__XtranclD2__1__1(X1,X2,X3,X4),X3,X4,X4),X1,tc_prod(X4,X4))|~c_in(c_Pair(X2,X3,X4,X4),c_Relation_Orel__comp(X1,c_Transitive__Closure_Ortrancl(X1,X4),X4,X4,X4),tc_prod(X4,X4)))).
% 0.39/0.62 cnf(i_0_742, plain, (c_lessequals(c_Relation_ODomain(c_Lattices_Oupper__semilattice__class_Osup(X1,c_Relation_Oconverse(X1,X2,X2),tc_fun(tc_prod(X2,X2),tc_bool)),X2,X2),c_Relation_ODomain(c_Lattices_Oupper__semilattice__class_Osup(X3,c_Relation_Oconverse(X3,X2,X2),tc_fun(tc_prod(X2,X2),tc_bool)),X2,X2),tc_fun(X2,tc_bool))|~c_lessequals(X1,X3,tc_fun(tc_prod(X2,X2),tc_bool)))).
% 0.39/0.62 cnf(i_0_780, plain, (c_in(c_Pair(X1,c_ATP__Linkup_Osko__Transitive__Closure__XtranclD2__1__1(X2,X1,X3,X4),X4,X4),c_Transitive__Closure_Ortrancl(X2,X4),tc_prod(X4,X4))|~c_in(c_Pair(X1,X3,X4,X4),c_Relation_Orel__comp(X2,c_Transitive__Closure_Ortrancl(X2,X4),X4,X4,X4),tc_prod(X4,X4)))).
% 0.39/0.62 cnf(i_0_828, plain, (c_in(c_Pair(c_ATP__Linkup_Osko__Transitive__Closure__XtranclD__1__1(X1,X2,X3,X4),X3,X4,X4),c_Transitive__Closure_Ortrancl(X1,X4),tc_prod(X4,X4))|~c_in(c_Pair(X2,X3,X4,X4),c_Relation_Orel__comp(X1,c_Transitive__Closure_Ortrancl(X1,X4),X4,X4,X4),tc_prod(X4,X4)))).
% 0.39/0.62 cnf(i_0_1051, plain, (X1=X2|X3=X2|c_in(c_Pair(X2,X3,tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Arrow__Order__Mirabelle_Oabove(X4,X1,X2),tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt))|~c_in(c_Pair(X1,X3,tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),X4,tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt))|~c_in(X4,c_Arrow__Order__Mirabelle_OLin,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_bool)))).
% 0.39/0.62 cnf(i_0_1066, plain, (X1=X2|X3=X2|c_in(c_Pair(X1,X2,tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Arrow__Order__Mirabelle_Obelow(X4,X2,X3),tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt))|~c_in(c_Pair(X1,X3,tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),X4,tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt))|~c_in(X4,c_Arrow__Order__Mirabelle_OLin,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_bool)))).
% 0.39/0.62 cnf(i_0_867, plain, (X1=X2|c_in(X1,X3,X4)|~c_lessequals(X5,c_Product__Type_OSigma(X3,c_COMBK(X3,tc_fun(X4,tc_bool),X4),X4,X4),tc_fun(tc_prod(X4,X4),tc_bool))|~c_in(c_Pair(X1,X2,X4,X4),c_Transitive__Closure_Ortrancl(X5,X4),tc_prod(X4,X4)))).
% 0.39/0.62 cnf(i_0_1039, plain, (X1=X2|X3=X2|c_in(c_Pair(X1,X2,tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Arrow__Order__Mirabelle_Oabove(X4,X3,X2),tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt))|~c_in(c_Pair(X1,X3,tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),X4,tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt))|~c_in(X4,c_Arrow__Order__Mirabelle_OLin,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_bool)))).
% 0.39/0.62 cnf(i_0_1045, plain, (X1=X2|X2=X3|c_in(c_Pair(X1,X2,tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Arrow__Order__Mirabelle_Obelow(X4,X3,X2),tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt))|~c_in(c_Pair(X1,X2,tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),X4,tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt))|~c_in(X4,c_Arrow__Order__Mirabelle_OLin,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_bool)))).
% 0.39/0.62 cnf(i_0_880, plain, (c_in(c_Pair(c_ATP__Linkup_Osko__Transitive__Closure__Xconverse__tranclE__1__1(X1,X2,X3,X4),X3,X4,X4),c_Relation_Orel__comp(X1,c_Transitive__Closure_Ortrancl(X1,X4),X4,X4,X4),tc_prod(X4,X4))|c_in(c_Pair(X2,X3,X4,X4),X1,tc_prod(X4,X4))|~c_in(c_Pair(X2,X3,X4,X4),c_Relation_Orel__comp(X1,c_Transitive__Closure_Ortrancl(X1,X4),X4,X4,X4),tc_prod(X4,X4)))).
% 0.39/0.62 cnf(i_0_798, plain, (c_in(c_Pair(X1,c_ATP__Linkup_Osko__Transitive__Closure__Xconverse__tranclE__1__1(X2,X1,X3,X4),X4,X4),X2,tc_prod(X4,X4))|c_in(c_Pair(X1,X3,X4,X4),X2,tc_prod(X4,X4))|~c_in(c_Pair(X1,X3,X4,X4),c_Relation_Orel__comp(X2,c_Transitive__Closure_Ortrancl(X2,X4),X4,X4,X4),tc_prod(X4,X4)))).
% 0.39/0.62 cnf(i_0_1060, plain, (X1=X2|X1=X3|c_in(c_Pair(X1,X2,tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Arrow__Order__Mirabelle_Oabove(X4,X1,X3),tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt))|~c_in(c_Pair(X1,X2,tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),X4,tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt))|~c_in(X4,c_Arrow__Order__Mirabelle_OLin,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_bool)))).
% 0.39/0.62 cnf(i_0_985, plain, (c_in(c_Pair(X1,X2,X3,X4),c_Relation_Orel__comp(X5,X6,X3,X7,X4),tc_prod(X3,X4))|~c_in(c_Pair(X8,X2,X7,X4),X6,tc_prod(X7,X4))|~c_in(c_Pair(X1,X8,X3,X7),X5,tc_prod(X3,X7)))).
% 0.39/0.62 cnf(i_0_815, plain, (c_in(X1,c_Relation_Orel__comp(X2,c_Transitive__Closure_Ortrancl(X2,X3),X3,X3,X3),tc_prod(X3,X3))|~c_lessequals(X4,X2,tc_fun(tc_prod(X3,X3),tc_bool))|~c_in(X1,c_Relation_Orel__comp(X4,c_Transitive__Closure_Ortrancl(X4,X3),X3,X3,X3),tc_prod(X3,X3)))).
% 0.39/0.62 cnf(i_0_823, plain, (c_in(c_Pair(X1,X2,X3,X3),c_Transitive__Closure_Ortrancl(X4,X3),tc_prod(X3,X3))|~c_in(c_Pair(X1,X5,X3,X3),c_Transitive__Closure_Ortrancl(X4,X3),tc_prod(X3,X3))|~c_in(c_Pair(X5,X2,X3,X3),X4,tc_prod(X3,X3)))).
% 0.39/0.62 cnf(i_0_824, plain, (c_in(c_Pair(X1,X2,X3,X3),c_Transitive__Closure_Ortrancl(X4,X3),tc_prod(X3,X3))|~c_in(c_Pair(X5,X2,X3,X3),c_Transitive__Closure_Ortrancl(X4,X3),tc_prod(X3,X3))|~c_in(c_Pair(X1,X5,X3,X3),X4,tc_prod(X3,X3)))).
% 0.39/0.62 cnf(i_0_766, plain, (c_in(c_Pair(X1,X2,X3,X3),X4,tc_prod(X3,X3))|~c_in(c_Pair(X5,X2,X3,X3),X4,tc_prod(X3,X3))|~c_in(c_Pair(X1,X5,X3,X3),X4,tc_prod(X3,X3))|~c_Relation_Otrans(X4,X3))).
% 0.39/0.62 cnf(i_0_986, plain, (c_in(c_Pair(X1,X2,X3,X3),c_Relation_Orel__comp(X4,c_Transitive__Closure_Ortrancl(X4,X3),X3,X3,X3),tc_prod(X3,X3))|~c_in(c_Pair(X5,X2,X3,X3),X4,tc_prod(X3,X3))|~c_in(c_Pair(X1,X5,X3,X3),X4,tc_prod(X3,X3)))).
% 0.39/0.62 cnf(i_0_1064, plain, (X1=X2|X3=X4|c_in(c_Pair(X1,X2,tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Arrow__Order__Mirabelle_Obelow(X5,X3,X4),tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt))|~c_in(c_Pair(X4,X2,tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),X5,tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt))|~c_in(c_Pair(X1,X4,tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),X5,tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt))|~c_in(c_Pair(X1,X2,tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),X5,tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt))|~c_in(X5,c_Arrow__Order__Mirabelle_OLin,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_bool)))).
% 0.39/0.62 cnf(i_0_825, plain, (c_in(c_Pair(X1,X2,X3,X3),c_Transitive__Closure_Ortrancl(X4,X3),tc_prod(X3,X3))|~c_in(c_Pair(X5,X2,X3,X3),c_Transitive__Closure_Ortrancl(X4,X3),tc_prod(X3,X3))|~c_in(c_Pair(X1,X5,X3,X3),c_Transitive__Closure_Ortrancl(X4,X3),tc_prod(X3,X3)))).
% 0.39/0.62 cnf(i_0_847, plain, (c_lessequals(c_Relation_Orel__comp(X1,c_Transitive__Closure_Ortrancl(X1,X2),X2,X2,X2),c_Product__Type_OSigma(X3,c_COMBK(X3,tc_fun(X2,tc_bool),X2),X2,X2),tc_fun(tc_prod(X2,X2),tc_bool))|~c_lessequals(X1,c_Product__Type_OSigma(X3,c_COMBK(X3,tc_fun(X2,tc_bool),X2),X2,X2),tc_fun(tc_prod(X2,X2),tc_bool)))).
% 0.39/0.62 cnf(i_0_1052, plain, (X1=X2|X1=X3|X2=X3|X4=X3|c_in(c_Pair(X1,X2,tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Arrow__Order__Mirabelle_Oabove(X5,X4,X3),tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt))|~c_in(c_Pair(X1,X2,tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),X5,tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt))|~c_in(X5,c_Arrow__Order__Mirabelle_OLin,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_bool)))).
% 0.39/0.62 cnf(i_0_1067, plain, (X1=X2|X1=X3|X2=X3|X3=X4|c_in(c_Pair(X1,X2,tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Arrow__Order__Mirabelle_Obelow(X5,X3,X4),tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt))|~c_in(c_Pair(X1,X2,tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),X5,tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt))|~c_in(X5,c_Arrow__Order__Mirabelle_OLin,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_bool)))).
% 0.39/0.62 cnf(i_0_799, plain, (c_in(c_Pair(X1,X2,X3,X3),c_Relation_Orel__comp(X4,c_Transitive__Closure_Ortrancl(X4,X3),X3,X3,X3),tc_prod(X3,X3))|~c_in(c_Pair(X1,X5,X3,X3),c_Transitive__Closure_Ortrancl(X4,X3),tc_prod(X3,X3))|~c_in(c_Pair(X5,X2,X3,X3),X4,tc_prod(X3,X3)))).
% 0.39/0.62 cnf(i_0_671, plain, (c_lessequals(c_Product__Type_OSigma(X1,X2,X3,X4),c_Product__Type_OSigma(X5,X6,X3,X4),tc_fun(tc_prod(X3,X4),tc_bool))|~c_lessequals(hAPP(X2,c_ATP__Linkup_Osko__Product__Type__XSigma__mono__1__1(X1,X2,X6,X3,X4)),hAPP(X6,c_ATP__Linkup_Osko__Product__Type__XSigma__mono__1__1(X1,X2,X6,X3,X4)),tc_fun(X4,tc_bool))|~c_lessequals(X1,X5,tc_fun(X3,tc_bool)))).
% 0.39/0.62 cnf(i_0_926, plain, (c_in(c_Pair(X1,X2,X3,X3),c_Relation_Orel__comp(X4,c_Transitive__Closure_Ortrancl(X4,X3),X3,X3,X3),tc_prod(X3,X3))|~c_in(c_Pair(X1,X5,X3,X3),c_Relation_Orel__comp(X4,c_Transitive__Closure_Ortrancl(X4,X3),X3,X3,X3),tc_prod(X3,X3))|~c_in(c_Pair(X5,X2,X3,X3),X4,tc_prod(X3,X3)))).
% 0.39/0.62 cnf(i_0_925, plain, (c_in(c_Pair(X1,X2,X3,X3),c_Relation_Orel__comp(X4,c_Transitive__Closure_Ortrancl(X4,X3),X3,X3,X3),tc_prod(X3,X3))|~c_in(c_Pair(X5,X2,X3,X3),c_Relation_Orel__comp(X4,c_Transitive__Closure_Ortrancl(X4,X3),X3,X3,X3),tc_prod(X3,X3))|~c_in(c_Pair(X1,X5,X3,X3),X4,tc_prod(X3,X3)))).
% 0.39/0.62 cnf(i_0_877, plain, (c_in(c_Pair(X1,X2,X3,X3),c_Relation_Orel__comp(X4,c_Transitive__Closure_Ortrancl(X4,X3),X3,X3,X3),tc_prod(X3,X3))|~c_in(c_Pair(X1,X5,X3,X3),c_Relation_Orel__comp(X4,c_Transitive__Closure_Ortrancl(X4,X3),X3,X3,X3),tc_prod(X3,X3))|~c_in(c_Pair(X5,X2,X3,X3),c_Transitive__Closure_Ortrancl(X4,X3),tc_prod(X3,X3)))).
% 0.39/0.62 cnf(i_0_1049, plain, (X1=X2|X3=X4|c_in(c_Pair(X1,X2,tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Arrow__Order__Mirabelle_Oabove(X5,X3,X4),tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt))|~c_in(c_Pair(X3,X2,tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),X5,tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt))|~c_in(c_Pair(X1,X3,tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),X5,tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt))|~c_in(c_Pair(X1,X2,tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),X5,tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt))|~c_in(X5,c_Arrow__Order__Mirabelle_OLin,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_bool)))).
% 0.39/0.62 cnf(i_0_1061, plain, (X1=X2|X2=X3|X4=X3|c_in(c_Pair(X1,X2,tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Arrow__Order__Mirabelle_Oabove(X5,X4,X3),tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt))|~c_in(c_Pair(X4,X2,tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),X5,tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt))|~c_in(c_Pair(X1,X2,tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),X5,tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt))|~c_in(X5,c_Arrow__Order__Mirabelle_OLin,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_bool)))).
% 0.39/0.62 cnf(i_0_1047, plain, (X1=X2|X2=X3|X3=X4|c_in(c_Pair(X1,X2,tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Arrow__Order__Mirabelle_Obelow(X5,X3,X4),tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt))|~c_in(c_Pair(X4,X2,tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),X5,tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt))|~c_in(c_Pair(X1,X2,tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),X5,tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt))|~c_in(X5,c_Arrow__Order__Mirabelle_OLin,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_bool)))).
% 0.39/0.62 cnf(i_0_878, plain, (c_in(c_Pair(X1,X2,X3,X3),c_Relation_Orel__comp(X4,c_Transitive__Closure_Ortrancl(X4,X3),X3,X3,X3),tc_prod(X3,X3))|~c_in(c_Pair(X5,X2,X3,X3),c_Relation_Orel__comp(X4,c_Transitive__Closure_Ortrancl(X4,X3),X3,X3,X3),tc_prod(X3,X3))|~c_in(c_Pair(X1,X5,X3,X3),c_Transitive__Closure_Ortrancl(X4,X3),tc_prod(X3,X3)))).
% 0.39/0.62 cnf(i_0_987, plain, (c_in(c_Pair(X1,X2,X3,X3),c_Relation_Orel__comp(X4,c_Transitive__Closure_Ortrancl(X4,X3),X3,X3,X3),tc_prod(X3,X3))|~c_in(c_Pair(X5,X2,X3,X3),c_Relation_Orel__comp(X4,c_Transitive__Closure_Ortrancl(X4,X3),X3,X3,X3),tc_prod(X3,X3))|~c_in(c_Pair(X1,X5,X3,X3),c_Relation_Orel__comp(X4,c_Transitive__Closure_Ortrancl(X4,X3),X3,X3,X3),tc_prod(X3,X3)))).
% 0.39/0.62 cnf(i_0_1062, plain, (X1=X2|X1=X3|X4=X3|c_in(c_Pair(X1,X2,tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Arrow__Order__Mirabelle_Oabove(X5,X4,X3),tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt))|~c_in(c_Pair(X1,X4,tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),X5,tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt))|~c_in(c_Pair(X1,X2,tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),X5,tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt))|~c_in(X5,c_Arrow__Order__Mirabelle_OLin,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_bool)))).
% 0.39/0.62 cnf(i_0_1046, plain, (X1=X2|X1=X3|X3=X4|c_in(c_Pair(X1,X2,tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Arrow__Order__Mirabelle_Obelow(X5,X3,X4),tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt))|~c_in(c_Pair(X1,X4,tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),X5,tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt))|~c_in(c_Pair(X1,X2,tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),X5,tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt))|~c_in(X5,c_Arrow__Order__Mirabelle_OLin,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_bool)))).
% 0.39/0.62 cnf(i_0_854, plain, (c_lessequals(c_Relation_Orel__comp(X1,X2,X3,X4,X5),c_Product__Type_OSigma(X6,c_COMBK(X7,tc_fun(X5,tc_bool),X3),X3,X5),tc_fun(tc_prod(X3,X5),tc_bool))|~c_lessequals(X2,c_Product__Type_OSigma(X8,c_COMBK(X7,tc_fun(X5,tc_bool),X4),X4,X5),tc_fun(tc_prod(X4,X5),tc_bool))|~c_lessequals(X1,c_Product__Type_OSigma(X6,c_COMBK(X8,tc_fun(X4,tc_bool),X3),X3,X4),tc_fun(tc_prod(X3,X4),tc_bool)))).
% 0.39/0.62 cnf(i_0_2091, plain, (X9=X9)).
% 0.39/0.62 # End listing active clauses. There is an equivalent clause to each of these in the clausification!
% 0.39/0.62 # Begin printing tableau
% 0.39/0.62 # Found 9 steps
% 0.39/0.62 cnf(i_0_1089, plain, (class_Lattices_Oupper__semilattice(tc_bool)), inference(start_rule)).
% 0.39/0.62 cnf(i_0_2181, plain, (class_Lattices_Oupper__semilattice(tc_bool)), inference(extension_rule, [i_0_751])).
% 0.39/0.62 cnf(i_0_3580, plain, (c_lessequals(v_a____,c_Lattices_Oupper__semilattice__class_Osup(X11,v_a____,tc_bool),tc_bool)), inference(extension_rule, [i_0_592])).
% 0.39/0.62 cnf(i_0_4794, plain, (~class_Lattices_Olower__semilattice(tc_bool)), inference(closure_rule, [i_0_1090])).
% 0.39/0.62 cnf(i_0_4793, plain, (c_Lattices_Olower__semilattice__class_Oinf(c_Lattices_Oupper__semilattice__class_Osup(X11,v_a____,tc_bool),v_a____,tc_bool)=v_a____), inference(extension_rule, [i_0_2094])).
% 0.39/0.62 cnf(i_0_5788, plain, (v_b____=v_a____), inference(closure_rule, [i_0_1076])).
% 0.39/0.62 cnf(i_0_3581, plain, (~c_lessequals(v_a____,v_a____,tc_bool)), inference(extension_rule, [i_0_836])).
% 0.39/0.62 cnf(i_0_5815, plain, (~class_Orderings_Opreorder(tc_bool)), inference(closure_rule, [i_0_1093])).
% 0.39/0.62 cnf(i_0_5789, plain, (v_b____!=c_Lattices_Olower__semilattice__class_Oinf(c_Lattices_Oupper__semilattice__class_Osup(X11,v_a____,tc_bool),v_a____,tc_bool)), inference(etableau_closure_rule, [i_0_5789, ...])).
% 0.39/0.62 # End printing tableau
% 0.39/0.62 # SZS output end
% 0.39/0.62 # Branches closed with saturation will be marked with an "s"
% 0.39/0.62 # Child (21531) has found a proof.
% 0.39/0.62
% 0.39/0.63 # Proof search is over...
% 0.39/0.63 # Freeing feature tree
%------------------------------------------------------------------------------