0.03/0.12 % Problem : theBenchmark.p : TPTP v0.0.0. Released v0.0.0. 0.03/0.12 % Command : etableau --auto --tsmdo --quicksat=10000 --tableau=1 --tableau-saturation=1 -s -p --tableau-cores=8 --cpu-limit=%d %s 0.13/0.34 Computer : n006.cluster.edu 0.13/0.34 Model : x86_64 x86_64 0.13/0.34 CPUModel : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz 0.13/0.34 RAMPerCPU : 8042.1875MB 0.13/0.34 OS : Linux 3.10.0-693.el7.x86_64 0.13/0.34 % CPULimit : 960 0.13/0.34 % WCLimit : 120 0.13/0.34 % DateTime : Tue Aug 9 05:40:43 EDT 2022 0.13/0.34 % CPUTime : 0.19/0.52 # No SInE strategy applied 0.19/0.52 # Auto-Mode selected heuristic G_E___300_C18_F1_SE_CS_SP_PS_S0Y 0.19/0.52 # and selection function SelectMaxLComplexAvoidPosPred. 0.19/0.52 # 0.19/0.52 # Presaturation interreduction done 0.19/0.52 # Number of axioms: 757 Number of unprocessed: 611 0.19/0.52 # Tableaux proof search. 0.19/0.52 # APR header successfully linked. 0.19/0.52 # Hello from C++ 0.19/0.54 # The folding up rule is enabled... 0.19/0.54 # Local unification is enabled... 0.19/0.54 # Any saturation attempts will use folding labels... 0.19/0.54 # 611 beginning clauses after preprocessing and clausification 0.19/0.54 # Creating start rules for all 1 conjectures. 0.19/0.54 # There are 1 start rule candidates: 0.19/0.54 # Found 146 unit axioms. 0.19/0.54 # 1 start rule tableaux created. 0.19/0.54 # 465 extension rule candidate clauses 0.19/0.54 # 146 unit axiom clauses 0.19/0.54 0.19/0.54 # Requested 8, 32 cores available to the main process. 0.19/0.54 # There are not enough tableaux to fork, creating more from the initial 1 0.19/0.54 # Returning from population with 49 new_tableaux and 0 remaining starting tableaux. 0.19/0.54 # We now have 49 tableaux to operate on 341.39/43.39 # There were 6 total branch saturation attempts. 341.39/43.39 # There were 0 of these attempts blocked. 341.39/43.39 # There were 0 deferred branch saturation attempts. 341.39/43.39 # There were 0 free duplicated saturations. 341.39/43.39 # There were 1 total successful branch saturations. 341.39/43.39 # There were 0 successful branch saturations in interreduction. 341.39/43.39 # There were 0 successful branch saturations on the branch. 341.39/43.39 # There were 1 successful branch saturations after the branch. 341.39/43.39 # SZS status Theorem for /export/starexec/sandbox/benchmark/theBenchmark.p 341.39/43.39 # SZS output start for /export/starexec/sandbox/benchmark/theBenchmark.p 341.39/43.39 # Begin clausification derivation 341.39/43.39 341.39/43.39 # End clausification derivation 341.39/43.39 # Begin listing active clauses obtained from FOF to CNF conversion 341.39/43.39 cnf(i_0_217, plain, (class_Lattices_Odistrib__lattice(tc_HOL_Obool))). 341.39/43.39 cnf(i_0_698, plain, (class_Lattices_Osemilattice__inf(tc_HOL_Obool))). 341.39/43.39 cnf(i_0_779, plain, (class_Lattices_Obounded__lattice__top(tc_HOL_Obool))). 341.39/43.39 cnf(i_0_120, plain, (class_Lattices_Olattice(tc_HOL_Obool))). 341.39/43.39 cnf(i_0_577, plain, (class_Lattices_Obounded__lattice__bot(tc_HOL_Obool))). 341.39/43.39 cnf(i_0_568, plain, (class_Lattices_Obounded__lattice(tc_HOL_Obool))). 341.39/43.39 cnf(i_0_42, plain, (class_Orderings_Obot(tc_HOL_Obool))). 341.39/43.39 cnf(i_0_461, plain, (class_Groups_Ominus(tc_HOL_Obool))). 341.39/43.39 cnf(i_0_752, plain, (class_Orderings_Oorder(tc_HOL_Obool))). 341.39/43.39 cnf(i_0_571, hypothesis, (c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,v_a,v_b),v_F(v_P)))). 341.39/43.39 cnf(i_0_650, hypothesis, (c_Relation_Otrans(tc_Arrow__Order__Mirabelle_Oalt,hAPP(v_P,X1)))). 341.39/43.39 cnf(i_0_669, plain, (class_Orderings_Otop(tc_HOL_Obool))). 341.39/43.39 cnf(i_0_263, plain, (class_Lattices_Osemilattice__sup(tc_HOL_Obool))). 341.39/43.39 cnf(i_0_267, plain, (class_Orderings_Opreorder(tc_HOL_Obool))). 341.39/43.39 cnf(i_0_481, plain, (class_Orderings_Oord(tc_HOL_Obool))). 341.39/43.39 cnf(i_0_652, hypothesis, (c_Relation_Oirrefl(tc_Arrow__Order__Mirabelle_Oalt,hAPP(v_P,X1)))). 341.39/43.39 cnf(i_0_201, plain, (c_Relation_Otrans(X1,c_Relation_OId__on(X1,X2)))). 341.39/43.39 cnf(i_0_277, plain, (c_Relation_Otrans(X1,c_Transitive__Closure_Otrancl(X1,X2)))). 341.39/43.39 cnf(i_0_455, plain, (c_Relation_Otrans(X1,c_Transitive__Closure_Ortrancl(X1,X2)))). 341.39/43.39 cnf(i_0_80, plain, (c_Wellfounded_Owf(X1,c_Wellfounded_Omeasure(X1,X2)))). 341.39/43.39 cnf(i_0_753, plain, (c_Relation_Oantisym(X1,c_Relation_OId__on(X1,X2)))). 341.39/43.39 cnf(i_0_83, plain, (c_member(X1,X2,c_fequal(X2)))). 341.39/43.39 cnf(i_0_769, plain, (c_member(tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool),esk82_0,c_Arrow__Order__Mirabelle_OLin))). 341.39/43.39 cnf(i_0_137, plain, (c_Orderings_Oord__class_Oless__eq(tc_fun(X1,tc_HOL_Obool),X2,X2))). 341.39/43.39 cnf(i_0_497, plain, (c_Relation_Orefl__on(X1,X2,c_Relation_OId__on(X1,X2)))). 341.39/43.39 cnf(i_0_585, plain, (c_Relation_Osingle__valued(X1,X1,c_Relation_OId__on(X1,X2)))). 341.39/43.39 cnf(i_0_81, plain, (c_member(X1,X2,c_Orderings_Otop__class_Otop(tc_fun(X1,tc_HOL_Obool))))). 341.39/43.39 cnf(i_0_506, plain, (c_Relation_Ototal__on(X1,c_Orderings_Obot__class_Obot(tc_fun(X1,tc_HOL_Obool)),X2))). 341.39/43.39 cnf(i_0_579, plain, (hBOOL(hAPP(c_Orderings_Otop__class_Otop(tc_fun(X1,tc_HOL_Obool)),X2)))). 341.39/43.39 cnf(i_0_631, plain, (c_member(X1,X2,c_Set_Oinsert(X1,X2,X3)))). 341.39/43.39 cnf(i_0_174, plain, (c_Lattices_Osemilattice__sup__class_Osup(tc_fun(X1,tc_HOL_Obool),X2,X2)=X2)). 341.39/43.39 cnf(i_0_602, plain, (c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(X1,tc_HOL_Obool),X2,X2)=X2)). 341.39/43.39 cnf(i_0_634, plain, (c_Relation_ODomain(X1,X1,c_Relation_OId__on(X1,X2))=X2)). 341.39/43.39 cnf(i_0_2, plain, (c_Relation_ORange(X1,X1,c_Relation_OId__on(X1,X2))=X2)). 341.39/43.39 cnf(i_0_74, plain, (c_Wellfounded_Owf(X1,c_Orderings_Obot__class_Obot(tc_fun(tc_prod(X1,X1),tc_HOL_Obool))))). 341.39/43.39 cnf(i_0_751, plain, (c_Relation_Oantisym(X1,c_Orderings_Obot__class_Obot(tc_fun(tc_prod(X1,X1),tc_HOL_Obool))))). 341.39/43.39 cnf(i_0_209, plain, (c_Transitive__Closure_Otrancl(X1,c_Transitive__Closure_Ortrancl(X1,X2))=c_Transitive__Closure_Ortrancl(X1,X2))). 341.39/43.39 cnf(i_0_337, plain, (c_Transitive__Closure_Ortrancl(X1,c_Transitive__Closure_Otrancl(X1,X2))=c_Transitive__Closure_Ortrancl(X1,X2))). 341.39/43.39 cnf(i_0_434, plain, (c_Transitive__Closure_Ortrancl(X1,c_Transitive__Closure_Ortrancl(X1,X2))=c_Transitive__Closure_Ortrancl(X1,X2))). 341.39/43.39 cnf(i_0_651, hypothesis, (c_Relation_Ototal__on(tc_Arrow__Order__Mirabelle_Oalt,c_Orderings_Otop__class_Otop(tc_fun(tc_Arrow__Order__Mirabelle_Oalt,tc_HOL_Obool)),hAPP(v_P,X1)))). 341.39/43.39 cnf(i_0_424, plain, (c_Orderings_Oord__class_Oless__eq(tc_fun(X1,tc_HOL_Obool),X2,c_Orderings_Otop__class_Otop(tc_fun(X1,tc_HOL_Obool))))). 341.39/43.39 cnf(i_0_629, plain, (c_Orderings_Oord__class_Oless__eq(tc_fun(X1,tc_HOL_Obool),c_Orderings_Obot__class_Obot(tc_fun(X1,tc_HOL_Obool)),X2))). 341.39/43.39 cnf(i_0_101, plain, (c_Relation_Orefl__on(X1,c_Orderings_Otop__class_Otop(tc_fun(X1,tc_HOL_Obool)),c_Transitive__Closure_Ortrancl(X1,X2)))). 341.39/43.39 cnf(i_0_99, plain, (hBOOL(hAPP(c_fequal(X1),X1)))). 341.39/43.39 cnf(i_0_220, plain, (c_Orderings_Oord__class_Oless__eq(tc_fun(X1,tc_HOL_Obool),X2,c_Set_Oinsert(X1,X3,X2)))). 341.39/43.39 cnf(i_0_474, plain, (c_Relation_Oantisym(X1,c_Transitive__Closure_Ortrancl(X1,c_Orderings_Obot__class_Obot(tc_fun(tc_prod(X1,X1),tc_HOL_Obool)))))). 341.39/43.39 cnf(i_0_183, plain, (c_Nitpick_Ofold__graph_H(X1,X2,X3,X4,c_Orderings_Obot__class_Obot(tc_fun(X1,tc_HOL_Obool)),X4))). 341.39/43.39 cnf(i_0_569, plain, (c_Groups_Ominus__class_Ominus(tc_fun(X1,tc_HOL_Obool),X2,X2)=c_Orderings_Obot__class_Obot(tc_fun(X1,tc_HOL_Obool)))). 341.39/43.39 cnf(i_0_259, plain, (c_Relation_ORange(X1,X1,c_Transitive__Closure_Ortrancl(X1,X2))=c_Orderings_Otop__class_Otop(tc_fun(X1,tc_HOL_Obool)))). 341.39/43.39 cnf(i_0_380, plain, (c_Relation_ODomain(X1,X1,c_Transitive__Closure_Ortrancl(X1,X2))=c_Orderings_Otop__class_Otop(tc_fun(X1,tc_HOL_Obool)))). 341.39/43.39 cnf(i_0_10, plain, (c_Groups_Ominus__class_Ominus(tc_fun(X1,tc_HOL_Obool),X2,c_Orderings_Obot__class_Obot(tc_fun(X1,tc_HOL_Obool)))=X2)). 341.39/43.39 cnf(i_0_256, plain, (c_Lattices_Osemilattice__sup__class_Osup(tc_fun(X1,tc_HOL_Obool),c_Orderings_Obot__class_Obot(tc_fun(X1,tc_HOL_Obool)),X2)=X2)). 341.39/43.39 cnf(i_0_732, plain, (c_Lattices_Osemilattice__sup__class_Osup(tc_fun(X1,tc_HOL_Obool),X2,c_Orderings_Obot__class_Obot(tc_fun(X1,tc_HOL_Obool)))=X2)). 341.39/43.39 cnf(i_0_205, plain, (c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(X1,tc_HOL_Obool),X2,c_Orderings_Otop__class_Otop(tc_fun(X1,tc_HOL_Obool)))=X2)). 341.39/43.39 cnf(i_0_712, plain, (c_Relation_ODomain(X1,X1,c_Transitive__Closure_Otrancl(X1,X2))=c_Relation_ODomain(X1,X1,X2))). 341.39/43.39 cnf(i_0_239, plain, (c_Relation_ORange(X1,X1,c_Transitive__Closure_Otrancl(X1,X2))=c_Relation_ORange(X1,X1,X2))). 341.39/43.39 cnf(i_0_35, plain, (c_Set_Othe__elem(X1,c_Set_Oinsert(X1,X2,c_Orderings_Obot__class_Obot(tc_fun(X1,tc_HOL_Obool))))=X2)). 341.39/43.39 cnf(i_0_73, plain, (c_Orderings_Oord__class_Oless__eq(tc_fun(X1,tc_HOL_Obool),X2,c_Lattices_Osemilattice__sup__class_Osup(tc_fun(X1,tc_HOL_Obool),X3,X2)))). 341.39/43.39 cnf(i_0_619, plain, (c_Orderings_Oord__class_Oless__eq(tc_fun(X1,tc_HOL_Obool),X2,c_Lattices_Osemilattice__sup__class_Osup(tc_fun(X1,tc_HOL_Obool),X2,X3)))). 341.39/43.39 cnf(i_0_251, plain, (c_Orderings_Oord__class_Oless__eq(tc_fun(X1,tc_HOL_Obool),c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(X1,tc_HOL_Obool),X2,X3),X3))). 341.39/43.39 cnf(i_0_208, plain, (c_Orderings_Oord__class_Oless__eq(tc_fun(X1,tc_HOL_Obool),c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(X1,tc_HOL_Obool),X2,X3),X2))). 341.39/43.39 cnf(i_0_425, plain, (c_Orderings_Oord__class_Oless__eq(tc_fun(X1,tc_HOL_Obool),c_Groups_Ominus__class_Ominus(tc_fun(X1,tc_HOL_Obool),X2,X3),X2))). 341.39/43.39 cnf(i_0_625, plain, (c_Relation_Osingle__valued(X1,X1,c_Transitive__Closure_Ortrancl(X1,c_Orderings_Obot__class_Obot(tc_fun(tc_prod(X1,X1),tc_HOL_Obool)))))). 341.39/43.39 cnf(i_0_262, plain, (c_Set_Oinsert(X1,X2,c_Set_Oinsert(X1,X2,X3))=c_Set_Oinsert(X1,X2,X3))). 341.39/43.39 cnf(i_0_630, plain, (c_Order__Relation_Opreorder__on(X1,c_Orderings_Obot__class_Obot(tc_fun(X1,tc_HOL_Obool)),c_Orderings_Obot__class_Obot(tc_fun(tc_prod(X1,X1),tc_HOL_Obool))))). 341.39/43.39 cnf(i_0_366, plain, (c_Relation_Orefl__on(X1,c_Orderings_Obot__class_Obot(tc_fun(X1,tc_HOL_Obool)),c_Orderings_Obot__class_Obot(tc_fun(tc_prod(X1,X1),tc_HOL_Obool))))). 341.39/43.39 cnf(i_0_443, plain, (c_Order__Relation_Owell__order__on(X1,c_Orderings_Obot__class_Obot(tc_fun(X1,tc_HOL_Obool)),c_Orderings_Obot__class_Obot(tc_fun(tc_prod(X1,X1),tc_HOL_Obool))))). 341.39/43.39 cnf(i_0_253, plain, (c_Order__Relation_Olinear__order__on(X1,c_Orderings_Obot__class_Obot(tc_fun(X1,tc_HOL_Obool)),c_Orderings_Obot__class_Obot(tc_fun(tc_prod(X1,X1),tc_HOL_Obool))))). 341.39/43.39 cnf(i_0_252, plain, (c_Order__Relation_Opartial__order__on(X1,c_Orderings_Obot__class_Obot(tc_fun(X1,tc_HOL_Obool)),c_Orderings_Obot__class_Obot(tc_fun(tc_prod(X1,X1),tc_HOL_Obool))))). 341.39/43.39 cnf(i_0_361, plain, (c_member(tc_prod(X1,X1),c_Product__Type_OPair(X1,X1,X2,X2),c_Transitive__Closure_Ortrancl(X1,X3)))). 341.39/43.39 cnf(i_0_538, plain, (c_Relation_OId__on(X1,c_Orderings_Obot__class_Obot(tc_fun(X1,tc_HOL_Obool)))=c_Orderings_Obot__class_Obot(tc_fun(tc_prod(X1,X1),tc_HOL_Obool)))). 341.39/43.39 cnf(i_0_530, plain, (c_Relation_OImage(X1,X2,X3,c_Orderings_Obot__class_Obot(tc_fun(X1,tc_HOL_Obool)))=c_Orderings_Obot__class_Obot(tc_fun(X2,tc_HOL_Obool)))). 341.39/43.39 cnf(i_0_202, plain, (hBOOL(hAPP(c_Set_Oinsert(X1,X2,X3),X2)))). 341.39/43.39 cnf(i_0_681, plain, (c_Product__Type_Ointernal__split(X1,X2,X3,X4,c_Product__Type_OPair(X1,X2,X5,X6))=hAPP(hAPP(X4,X5),X6))). 341.39/43.39 cnf(i_0_77, plain, (c_Product__Type_Oprod_Oprod__rec(X1,X2,X3,X4,c_Product__Type_OPair(X1,X2,X5,X6))=hAPP(hAPP(X4,X5),X6))). 341.39/43.39 cnf(i_0_702, plain, (c_Lattices_Osemilattice__sup__class_Osup(tc_fun(X1,tc_HOL_Obool),X2,c_Orderings_Otop__class_Otop(tc_fun(X1,tc_HOL_Obool)))=c_Orderings_Otop__class_Otop(tc_fun(X1,tc_HOL_Obool)))). 341.39/43.39 cnf(i_0_34, plain, (c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(X1,tc_HOL_Obool),c_Orderings_Obot__class_Obot(tc_fun(X1,tc_HOL_Obool)),X2)=c_Orderings_Obot__class_Obot(tc_fun(X1,tc_HOL_Obool)))). 341.39/43.39 cnf(i_0_328, plain, (c_Groups_Ominus__class_Ominus(tc_fun(X1,tc_HOL_Obool),c_Orderings_Obot__class_Obot(tc_fun(X1,tc_HOL_Obool)),X2)=c_Orderings_Obot__class_Obot(tc_fun(X1,tc_HOL_Obool)))). 341.39/43.39 cnf(i_0_11, plain, (c_Lattices_Osemilattice__sup__class_Osup(tc_fun(X1,tc_HOL_Obool),c_Orderings_Otop__class_Otop(tc_fun(X1,tc_HOL_Obool)),X2)=c_Orderings_Otop__class_Otop(tc_fun(X1,tc_HOL_Obool)))). 341.39/43.39 cnf(i_0_401, plain, (c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(X1,tc_HOL_Obool),X2,c_Orderings_Obot__class_Obot(tc_fun(X1,tc_HOL_Obool)))=c_Orderings_Obot__class_Obot(tc_fun(X1,tc_HOL_Obool)))). 341.39/43.39 cnf(i_0_716, plain, (c_Groups_Ominus__class_Ominus(tc_fun(X1,tc_HOL_Obool),X2,c_Orderings_Otop__class_Otop(tc_fun(X1,tc_HOL_Obool)))=c_Orderings_Obot__class_Obot(tc_fun(X1,tc_HOL_Obool)))). 341.39/43.39 cnf(i_0_440, plain, (c_Equiv__Relations_Oquotient(X1,c_Orderings_Obot__class_Obot(tc_fun(X1,tc_HOL_Obool)),X2)=c_Orderings_Obot__class_Obot(tc_fun(tc_fun(X1,tc_HOL_Obool),tc_HOL_Obool)))). 341.39/43.39 cnf(i_0_485, plain, (c_Relation_ORange(X1,X2,c_Orderings_Obot__class_Obot(tc_fun(tc_prod(X1,X2),tc_HOL_Obool)))=c_Orderings_Obot__class_Obot(tc_fun(X2,tc_HOL_Obool)))). 341.39/43.39 cnf(i_0_54, plain, (c_Relation_ODomain(X1,X2,c_Orderings_Obot__class_Obot(tc_fun(tc_prod(X1,X2),tc_HOL_Obool)))=c_Orderings_Obot__class_Obot(tc_fun(X1,tc_HOL_Obool)))). 341.39/43.39 cnf(i_0_607, plain, (c_Relation_OImage(X1,X1,c_Transitive__Closure_Ortrancl(X1,c_Orderings_Obot__class_Obot(tc_fun(tc_prod(X1,X1),tc_HOL_Obool))),X2)=X2)). 341.39/43.39 cnf(i_0_187, plain, (c_Transitive__Closure_Otrancl(X1,c_Orderings_Obot__class_Obot(tc_fun(tc_prod(X1,X1),tc_HOL_Obool)))=c_Orderings_Obot__class_Obot(tc_fun(tc_prod(X1,X1),tc_HOL_Obool)))). 341.39/43.39 cnf(i_0_736, plain, (c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(X1,tc_HOL_Obool),X2,c_Groups_Ominus__class_Ominus(tc_fun(X1,tc_HOL_Obool),X3,X2))=c_Orderings_Obot__class_Obot(tc_fun(X1,tc_HOL_Obool)))). 341.39/43.39 cnf(i_0_451, plain, (c_Relation_Oirrefl(X1,c_Groups_Ominus__class_Ominus(tc_fun(tc_prod(X1,X1),tc_HOL_Obool),X2,c_Transitive__Closure_Ortrancl(X1,c_Orderings_Obot__class_Obot(tc_fun(tc_prod(X1,X1),tc_HOL_Obool))))))). 341.39/43.39 cnf(i_0_604, plain, (c_Lattices_Osemilattice__sup__class_Osup(tc_fun(X1,tc_HOL_Obool),X2,c_Lattices_Osemilattice__sup__class_Osup(tc_fun(X1,tc_HOL_Obool),X2,X3))=c_Lattices_Osemilattice__sup__class_Osup(tc_fun(X1,tc_HOL_Obool),X2,X3))). 341.39/43.39 cnf(i_0_246, plain, (c_Groups_Ominus__class_Ominus(tc_fun(X1,tc_HOL_Obool),c_Groups_Ominus__class_Ominus(tc_fun(X1,tc_HOL_Obool),X2,X3),X3)=c_Groups_Ominus__class_Ominus(tc_fun(X1,tc_HOL_Obool),X2,X3))). 341.39/43.39 cnf(i_0_426, hypothesis, (c_Relation_Otrans(tc_Arrow__Order__Mirabelle_Oalt,v_F(v_P)))). 341.39/43.39 cnf(i_0_206, plain, (c_Lattices_Osemilattice__sup__class_Osup(tc_fun(X1,tc_HOL_Obool),X2,c_Groups_Ominus__class_Ominus(tc_fun(X1,tc_HOL_Obool),X3,X2))=c_Lattices_Osemilattice__sup__class_Osup(tc_fun(X1,tc_HOL_Obool),X2,X3))). 341.39/43.39 cnf(i_0_624, plain, (c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(X1,tc_HOL_Obool),X2,c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(X1,tc_HOL_Obool),X2,X3))=c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(X1,tc_HOL_Obool),X2,X3))). 341.39/43.39 cnf(i_0_43, plain, (c_Lattices_Osemilattice__sup__class_Osup(tc_fun(X1,tc_HOL_Obool),c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(X1,tc_HOL_Obool),X2,X3),c_Groups_Ominus__class_Ominus(tc_fun(X1,tc_HOL_Obool),X2,X3))=X2)). 341.39/43.39 cnf(i_0_288, plain, (c_Lattices_Osemilattice__sup__class_Osup(tc_fun(X1,tc_HOL_Obool),c_Set_Oinsert(X1,X2,X3),X4)=c_Lattices_Osemilattice__sup__class_Osup(tc_fun(X1,tc_HOL_Obool),X3,c_Set_Oinsert(X1,X2,X4)))). 341.39/43.39 cnf(i_0_427, hypothesis, (c_Relation_Oirrefl(tc_Arrow__Order__Mirabelle_Oalt,v_F(v_P)))). 341.39/43.39 cnf(i_0_475, plain, (c_Set_Oinsert(X1,X2,c_Lattices_Osemilattice__sup__class_Osup(tc_fun(X1,tc_HOL_Obool),X3,X4))=c_Lattices_Osemilattice__sup__class_Osup(tc_fun(X1,tc_HOL_Obool),X3,c_Set_Oinsert(X1,X2,X4)))). 341.39/43.39 cnf(i_0_270, plain, (c_Set_Oinsert(X1,X2,c_Groups_Ominus__class_Ominus(tc_fun(X1,tc_HOL_Obool),X3,c_Set_Oinsert(X1,X2,c_Orderings_Obot__class_Obot(tc_fun(X1,tc_HOL_Obool)))))=c_Set_Oinsert(X1,X2,X3))). 341.39/43.39 cnf(i_0_107, plain, (c_Lattices_Osemilattice__sup__class_Osup(tc_fun(tc_prod(X1,X1),tc_HOL_Obool),c_Transitive__Closure_Otrancl(X1,X2),c_Transitive__Closure_Ortrancl(X1,c_Orderings_Obot__class_Obot(tc_fun(tc_prod(X1,X1),tc_HOL_Obool))))=c_Transitive__Closure_Ortrancl(X1,X2))). 341.39/43.39 cnf(i_0_38, plain, (c_Lattices_Osemilattice__sup__class_Osup(tc_fun(tc_prod(X1,X1),tc_HOL_Obool),c_Transitive__Closure_Ortrancl(X1,X2),c_Transitive__Closure_Ortrancl(X1,c_Orderings_Obot__class_Obot(tc_fun(tc_prod(X1,X1),tc_HOL_Obool))))=c_Transitive__Closure_Ortrancl(X1,X2))). 341.39/43.39 cnf(i_0_255, plain, (c_Transitive__Closure_Otrancl(X1,c_Lattices_Osemilattice__sup__class_Osup(tc_fun(tc_prod(X1,X1),tc_HOL_Obool),X2,c_Transitive__Closure_Ortrancl(X1,c_Orderings_Obot__class_Obot(tc_fun(tc_prod(X1,X1),tc_HOL_Obool)))))=c_Transitive__Closure_Ortrancl(X1,X2))). 341.39/43.39 cnf(i_0_215, plain, (c_Transitive__Closure_Ortrancl(X1,c_Lattices_Osemilattice__sup__class_Osup(tc_fun(tc_prod(X1,X1),tc_HOL_Obool),X2,c_Transitive__Closure_Ortrancl(X1,c_Orderings_Obot__class_Obot(tc_fun(tc_prod(X1,X1),tc_HOL_Obool)))))=c_Transitive__Closure_Ortrancl(X1,X2))). 341.39/43.39 cnf(i_0_336, plain, (c_Transitive__Closure_Ortrancl(X1,c_Groups_Ominus__class_Ominus(tc_fun(tc_prod(X1,X1),tc_HOL_Obool),X2,c_Transitive__Closure_Ortrancl(X1,c_Orderings_Obot__class_Obot(tc_fun(tc_prod(X1,X1),tc_HOL_Obool)))))=c_Transitive__Closure_Ortrancl(X1,X2))). 341.39/43.39 cnf(i_0_326, plain, (c_Relation_Orefl__on(X1,c_Orderings_Otop__class_Otop(tc_fun(X1,tc_HOL_Obool)),c_Lattices_Osemilattice__sup__class_Osup(tc_fun(tc_prod(X1,X1),tc_HOL_Obool),X2,c_Transitive__Closure_Ortrancl(X1,c_Orderings_Obot__class_Obot(tc_fun(tc_prod(X1,X1),tc_HOL_Obool))))))). 341.39/43.39 cnf(i_0_772, plain, (c_Relation_ODomain(X1,X2,c_Set_Oinsert(tc_prod(X1,X2),c_Product__Type_OPair(X1,X2,X3,X4),X5))=c_Set_Oinsert(X1,X3,c_Relation_ODomain(X1,X2,X5)))). 341.39/43.39 cnf(i_0_377, plain, (c_Relation_ORange(X1,X2,c_Set_Oinsert(tc_prod(X1,X2),c_Product__Type_OPair(X1,X2,X3,X4),X5))=c_Set_Oinsert(X2,X4,c_Relation_ORange(X1,X2,X5)))). 341.39/43.39 cnf(i_0_603, plain, (c_Groups_Ominus__class_Ominus(tc_fun(X1,tc_HOL_Obool),c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(X1,tc_HOL_Obool),X2,X3),X4)=c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(X1,tc_HOL_Obool),X2,c_Groups_Ominus__class_Ominus(tc_fun(X1,tc_HOL_Obool),X3,X4)))). 341.39/43.39 cnf(i_0_423, plain, (c_Lattices_Osemilattice__sup__class_Osup(tc_fun(X1,tc_HOL_Obool),c_Lattices_Osemilattice__sup__class_Osup(tc_fun(X1,tc_HOL_Obool),X2,X3),X4)=c_Lattices_Osemilattice__sup__class_Osup(tc_fun(X1,tc_HOL_Obool),X2,c_Lattices_Osemilattice__sup__class_Osup(tc_fun(X1,tc_HOL_Obool),X3,X4)))). 341.39/43.39 cnf(i_0_146, plain, (c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(X1,tc_HOL_Obool),c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(X1,tc_HOL_Obool),X2,X3),X4)=c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(X1,tc_HOL_Obool),X2,c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(X1,tc_HOL_Obool),X3,X4)))). 341.39/43.39 cnf(i_0_441, plain, (c_Lattices_Osemilattice__sup__class_Osup(tc_fun(X1,tc_HOL_Obool),c_Relation_ORange(X2,X1,X3),c_Relation_ORange(X2,X1,X4))=c_Relation_ORange(X2,X1,c_Lattices_Osemilattice__sup__class_Osup(tc_fun(tc_prod(X2,X1),tc_HOL_Obool),X3,X4)))). 341.39/43.39 cnf(i_0_520, plain, (c_Lattices_Osemilattice__sup__class_Osup(tc_fun(X1,tc_HOL_Obool),c_Relation_ODomain(X1,X2,X3),c_Relation_ODomain(X1,X2,X4))=c_Relation_ODomain(X1,X2,c_Lattices_Osemilattice__sup__class_Osup(tc_fun(tc_prod(X1,X2),tc_HOL_Obool),X3,X4)))). 341.39/43.39 cnf(i_0_661, plain, (c_Transitive__Closure_Ortrancl(X1,c_Lattices_Osemilattice__sup__class_Osup(tc_fun(tc_prod(X1,X1),tc_HOL_Obool),c_Transitive__Closure_Ortrancl(X1,X2),c_Transitive__Closure_Ortrancl(X1,X3)))=c_Transitive__Closure_Ortrancl(X1,c_Lattices_Osemilattice__sup__class_Osup(tc_fun(tc_prod(X1,X1),tc_HOL_Obool),X2,X3)))). 341.39/43.39 cnf(i_0_87, plain, (c_Lattices_Osemilattice__sup__class_Osup(tc_fun(X1,tc_HOL_Obool),c_Relation_OImage(X2,X1,X3,X4),c_Relation_OImage(X2,X1,X3,X5))=c_Relation_OImage(X2,X1,X3,c_Lattices_Osemilattice__sup__class_Osup(tc_fun(X2,tc_HOL_Obool),X4,X5)))). 341.39/43.39 cnf(i_0_694, plain, (c_Groups_Ominus__class_Ominus(tc_fun(X1,tc_HOL_Obool),c_Groups_Ominus__class_Ominus(tc_fun(X1,tc_HOL_Obool),X2,X3),c_Set_Oinsert(X1,X4,c_Orderings_Obot__class_Obot(tc_fun(X1,tc_HOL_Obool))))=c_Groups_Ominus__class_Ominus(tc_fun(X1,tc_HOL_Obool),X2,c_Set_Oinsert(X1,X4,X3)))). 341.39/43.39 cnf(i_0_561, plain, (c_Groups_Ominus__class_Ominus(tc_fun(X1,tc_HOL_Obool),c_Groups_Ominus__class_Ominus(tc_fun(X1,tc_HOL_Obool),X2,c_Set_Oinsert(X1,X3,c_Orderings_Obot__class_Obot(tc_fun(X1,tc_HOL_Obool)))),X4)=c_Groups_Ominus__class_Ominus(tc_fun(X1,tc_HOL_Obool),X2,c_Set_Oinsert(X1,X3,X4)))). 341.39/43.39 cnf(i_0_109, plain, (c_Orderings_Oord__class_Oless__eq(tc_fun(X1,tc_HOL_Obool),c_Relation_ORange(X2,X1,c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(tc_prod(X2,X1),tc_HOL_Obool),X3,X4)),c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(X1,tc_HOL_Obool),c_Relation_ORange(X2,X1,X3),c_Relation_ORange(X2,X1,X4))))). 341.39/43.39 cnf(i_0_219, plain, (c_Orderings_Oord__class_Oless__eq(tc_fun(X1,tc_HOL_Obool),c_Relation_ODomain(X1,X2,c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(tc_prod(X1,X2),tc_HOL_Obool),X3,X4)),c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(X1,tc_HOL_Obool),c_Relation_ODomain(X1,X2,X3),c_Relation_ODomain(X1,X2,X4))))). 341.39/43.39 cnf(i_0_60, plain, (c_Orderings_Oord__class_Oless__eq(tc_fun(X1,tc_HOL_Obool),c_Groups_Ominus__class_Ominus(tc_fun(X1,tc_HOL_Obool),c_Relation_ORange(X2,X1,X3),c_Relation_ORange(X2,X1,X4)),c_Relation_ORange(X2,X1,c_Groups_Ominus__class_Ominus(tc_fun(tc_prod(X2,X1),tc_HOL_Obool),X3,X4))))). 341.39/43.39 cnf(i_0_312, plain, (c_Orderings_Oord__class_Oless__eq(tc_fun(X1,tc_HOL_Obool),c_Groups_Ominus__class_Ominus(tc_fun(X1,tc_HOL_Obool),c_Relation_ODomain(X1,X2,X3),c_Relation_ODomain(X1,X2,X4)),c_Relation_ODomain(X1,X2,c_Groups_Ominus__class_Ominus(tc_fun(tc_prod(X1,X2),tc_HOL_Obool),X3,X4))))). 341.39/43.39 cnf(i_0_433, plain, (c_Lattices_Osemilattice__sup__class_Osup(tc_fun(X1,tc_HOL_Obool),c_Relation_OImage(X2,X1,X3,X4),c_Relation_OImage(X2,X1,X5,X4))=c_Relation_OImage(X2,X1,c_Lattices_Osemilattice__sup__class_Osup(tc_fun(tc_prod(X2,X1),tc_HOL_Obool),X3,X5),X4))). 341.39/43.39 cnf(i_0_442, plain, (c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(X1,tc_HOL_Obool),c_Lattices_Osemilattice__sup__class_Osup(tc_fun(X1,tc_HOL_Obool),X2,X3),c_Lattices_Osemilattice__sup__class_Osup(tc_fun(X1,tc_HOL_Obool),X2,X4))=c_Lattices_Osemilattice__sup__class_Osup(tc_fun(X1,tc_HOL_Obool),X2,c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(X1,tc_HOL_Obool),X3,X4)))). 341.39/43.39 cnf(i_0_324, plain, (c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(X1,tc_HOL_Obool),X2,c_Groups_Ominus__class_Ominus(tc_fun(X1,tc_HOL_Obool),X3,c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(X1,tc_HOL_Obool),X2,X4)))=c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(X1,tc_HOL_Obool),X2,c_Groups_Ominus__class_Ominus(tc_fun(X1,tc_HOL_Obool),X3,X4)))). 341.39/43.39 cnf(i_0_548, plain, (c_Lattices_Osemilattice__sup__class_Osup(tc_fun(X1,tc_HOL_Obool),c_Groups_Ominus__class_Ominus(tc_fun(X1,tc_HOL_Obool),X2,X3),c_Groups_Ominus__class_Ominus(tc_fun(X1,tc_HOL_Obool),X4,X3))=c_Groups_Ominus__class_Ominus(tc_fun(X1,tc_HOL_Obool),c_Lattices_Osemilattice__sup__class_Osup(tc_fun(X1,tc_HOL_Obool),X2,X4),X3))). 341.39/43.39 cnf(i_0_177, plain, (c_Lattices_Osemilattice__sup__class_Osup(tc_fun(X1,tc_HOL_Obool),c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(X1,tc_HOL_Obool),X2,X3),c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(X1,tc_HOL_Obool),X2,X4))=c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(X1,tc_HOL_Obool),X2,c_Lattices_Osemilattice__sup__class_Osup(tc_fun(X1,tc_HOL_Obool),X3,X4)))). 341.39/43.39 cnf(i_0_771, plain, (c_Lattices_Osemilattice__sup__class_Osup(tc_fun(X1,tc_HOL_Obool),c_Groups_Ominus__class_Ominus(tc_fun(X1,tc_HOL_Obool),X2,X3),c_Groups_Ominus__class_Ominus(tc_fun(X1,tc_HOL_Obool),X2,X4))=c_Groups_Ominus__class_Ominus(tc_fun(X1,tc_HOL_Obool),X2,c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(X1,tc_HOL_Obool),X3,X4)))). 341.39/43.39 cnf(i_0_111, plain, (c_Lattices_Osemilattice__sup__class_Osup(tc_fun(X1,tc_HOL_Obool),c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(X1,tc_HOL_Obool),X2,X3),c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(X1,tc_HOL_Obool),X4,X3))=c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(X1,tc_HOL_Obool),c_Lattices_Osemilattice__sup__class_Osup(tc_fun(X1,tc_HOL_Obool),X2,X4),X3))). 341.39/43.39 cnf(i_0_486, plain, (c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(X1,tc_HOL_Obool),c_Lattices_Osemilattice__sup__class_Osup(tc_fun(X1,tc_HOL_Obool),X2,X3),c_Lattices_Osemilattice__sup__class_Osup(tc_fun(X1,tc_HOL_Obool),X4,X3))=c_Lattices_Osemilattice__sup__class_Osup(tc_fun(X1,tc_HOL_Obool),c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(X1,tc_HOL_Obool),X2,X4),X3))). 341.39/43.39 cnf(i_0_403, plain, (c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(X1,tc_HOL_Obool),c_Groups_Ominus__class_Ominus(tc_fun(X1,tc_HOL_Obool),X2,X3),X4)=c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(X1,tc_HOL_Obool),X2,c_Groups_Ominus__class_Ominus(tc_fun(X1,tc_HOL_Obool),X4,X3)))). 341.39/43.39 cnf(i_0_415, plain, (c_Orderings_Oord__class_Oless__eq(tc_fun(tc_prod(X1,X1),tc_HOL_Obool),c_Lattices_Osemilattice__sup__class_Osup(tc_fun(tc_prod(X1,X1),tc_HOL_Obool),c_Transitive__Closure_Ortrancl(X1,X2),c_Transitive__Closure_Ortrancl(X1,X3)),c_Transitive__Closure_Ortrancl(X1,c_Lattices_Osemilattice__sup__class_Osup(tc_fun(tc_prod(X1,X1),tc_HOL_Obool),X2,X3))))). 341.39/43.39 cnf(i_0_482, plain, (c_Orderings_Oord__class_Oless__eq(tc_fun(X1,tc_HOL_Obool),c_Relation_OImage(X2,X1,X3,c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(X2,tc_HOL_Obool),X4,X5)),c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(X1,tc_HOL_Obool),c_Relation_OImage(X2,X1,X3,X4),c_Relation_OImage(X2,X1,X3,X5))))). 341.39/43.39 cnf(i_0_335, plain, (c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(X1,tc_HOL_Obool),X2,c_Groups_Ominus__class_Ominus(tc_fun(X1,tc_HOL_Obool),X3,c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(X1,tc_HOL_Obool),X4,X3)))=c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(X1,tc_HOL_Obool),X2,c_Groups_Ominus__class_Ominus(tc_fun(X1,tc_HOL_Obool),X3,X4)))). 341.39/43.39 cnf(i_0_344, plain, (c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(X1,tc_HOL_Obool),X2,c_Groups_Ominus__class_Ominus(tc_fun(X1,tc_HOL_Obool),c_Groups_Ominus__class_Ominus(tc_fun(X1,tc_HOL_Obool),X2,X3),X4))=c_Groups_Ominus__class_Ominus(tc_fun(X1,tc_HOL_Obool),X2,c_Lattices_Osemilattice__sup__class_Osup(tc_fun(X1,tc_HOL_Obool),X4,X3)))). 341.39/43.39 cnf(i_0_428, hypothesis, (c_Relation_Ototal__on(tc_Arrow__Order__Mirabelle_Oalt,c_Orderings_Otop__class_Otop(tc_fun(tc_Arrow__Order__Mirabelle_Oalt,tc_HOL_Obool)),v_F(v_P)))). 341.39/43.39 cnf(i_0_55, plain, (c_Lattices_Osemilattice__sup__class_Osup(tc_fun(X1,tc_HOL_Obool),c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(X1,tc_HOL_Obool),X2,X3),c_Lattices_Osemilattice__sup__class_Osup(tc_fun(X1,tc_HOL_Obool),c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(X1,tc_HOL_Obool),X3,X4),c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(X1,tc_HOL_Obool),X4,X2)))=c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(X1,tc_HOL_Obool),c_Lattices_Osemilattice__sup__class_Osup(tc_fun(X1,tc_HOL_Obool),X2,X3),c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(X1,tc_HOL_Obool),c_Lattices_Osemilattice__sup__class_Osup(tc_fun(X1,tc_HOL_Obool),X3,X4),c_Lattices_Osemilattice__sup__class_Osup(tc_fun(X1,tc_HOL_Obool),X4,X2))))). 341.39/43.39 cnf(i_0_317, plain, (c_Lattices_Osemilattice__sup__class_Osup(tc_fun(X1,tc_HOL_Obool),c_Relation_ODomain(X1,X1,X2),c_Lattices_Osemilattice__sup__class_Osup(tc_fun(X1,tc_HOL_Obool),c_Relation_ORange(X1,X1,X2),c_Lattices_Osemilattice__sup__class_Osup(tc_fun(X1,tc_HOL_Obool),c_Relation_ODomain(X1,X1,X3),c_Relation_ORange(X1,X1,X3))))=c_Lattices_Osemilattice__sup__class_Osup(tc_fun(X1,tc_HOL_Obool),c_Relation_ODomain(X1,X1,c_Lattices_Osemilattice__sup__class_Osup(tc_fun(tc_prod(X1,X1),tc_HOL_Obool),X2,X3)),c_Relation_ORange(X1,X1,c_Lattices_Osemilattice__sup__class_Osup(tc_fun(tc_prod(X1,X1),tc_HOL_Obool),X2,X3))))). 341.39/43.39 cnf(i_0_392, plain, (c_Lattices_Osemilattice__sup__class_Osup(tc_fun(X1,tc_HOL_Obool),X2,X3)=c_Lattices_Osemilattice__sup__class_Osup(tc_fun(X1,tc_HOL_Obool),X3,X2))). 341.39/43.39 cnf(i_0_314, plain, (c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(X1,tc_HOL_Obool),X2,X3)=c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(X1,tc_HOL_Obool),X3,X2))). 341.39/43.39 cnf(i_0_645, plain, (c_Set_Oinsert(X1,X2,c_Set_Oinsert(X1,X3,X4))=c_Set_Oinsert(X1,X3,c_Set_Oinsert(X1,X2,X4)))). 341.39/43.39 cnf(i_0_39, plain, (c_Lattices_Osemilattice__sup__class_Osup(tc_fun(X1,tc_HOL_Obool),X2,c_Lattices_Osemilattice__sup__class_Osup(tc_fun(X1,tc_HOL_Obool),X3,X4))=c_Lattices_Osemilattice__sup__class_Osup(tc_fun(X1,tc_HOL_Obool),X3,c_Lattices_Osemilattice__sup__class_Osup(tc_fun(X1,tc_HOL_Obool),X2,X4)))). 341.39/43.39 cnf(i_0_649, plain, (c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(X1,tc_HOL_Obool),X2,c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(X1,tc_HOL_Obool),X3,X4))=c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(X1,tc_HOL_Obool),X3,c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(X1,tc_HOL_Obool),X2,X4)))). 341.39/43.39 cnf(i_0_193, negated_conjecture, (~c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,v_a,v_b),hAPP(v_P,v_i)))). 341.39/43.39 cnf(i_0_684, plain, (c_Orderings_Otop__class_Otop(tc_fun(X1,tc_HOL_Obool))!=c_Orderings_Obot__class_Obot(tc_fun(X1,tc_HOL_Obool)))). 341.39/43.39 cnf(i_0_689, plain, (c_Set_Oinsert(X1,X2,X3)!=c_Orderings_Obot__class_Obot(tc_fun(X1,tc_HOL_Obool)))). 341.39/43.39 cnf(i_0_105, plain, (~c_member(X1,X2,c_Orderings_Obot__class_Obot(tc_fun(X1,tc_HOL_Obool))))). 341.39/43.39 cnf(i_0_123, plain, (~c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,X1,X2),c_Arrow__Order__Mirabelle_Omkbot(X3,X2)))). 341.39/43.39 cnf(i_0_525, plain, (~c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,X1,X2),c_Arrow__Order__Mirabelle_Omktop(X3,X1)))). 341.39/43.39 cnf(i_0_82, plain, (X1=X2|~c_member(X3,X1,c_fequal(X2)))). 341.39/43.39 cnf(i_0_341, plain, (c_Set_Oinsert(X1,X2,X3)=X3|~c_member(X1,X2,X3))). 341.39/43.39 cnf(i_0_541, plain, (c_Wellfounded_Oacyclic(X1,X2)|~c_Wellfounded_Owf(X1,X2))). 341.39/43.39 cnf(i_0_610, plain, (class_Lattices_Odistrib__lattice(tc_fun(X1,X2))|~class_Lattices_Odistrib__lattice(X2))). 341.39/43.39 cnf(i_0_381, plain, (class_Lattices_Osemilattice__inf(tc_fun(X1,X2))|~class_Lattices_Olattice(X2))). 341.39/43.39 cnf(i_0_589, plain, (~c_member(X1,X2,c_Groups_Ominus__class_Ominus(tc_fun(X1,tc_HOL_Obool),X3,X4))|~c_member(X1,X2,X4))). 341.39/43.39 cnf(i_0_233, plain, (c_Transitive__Closure_Otrancl(X1,X2)=X2|~c_Relation_Otrans(X1,X2))). 341.39/43.39 cnf(i_0_70, plain, (c_Relation_Oantisym(X1,X2)|esk6_2(X2,X1)!=esk5_2(X2,X1))). 341.39/43.39 cnf(i_0_408, plain, (c_Orderings_Oord__class_Oless__eq(X1,X2,X2)|~class_Orderings_Opreorder(X1))). 341.39/43.39 cnf(i_0_715, plain, (class_Lattices_Obounded__lattice__top(tc_fun(X1,X2))|~class_Lattices_Obounded__lattice(X2))). 341.39/43.39 cnf(i_0_258, plain, (class_Lattices_Olattice(tc_fun(X1,X2))|~class_Lattices_Olattice(X2))). 341.39/43.39 cnf(i_0_36, plain, (class_Lattices_Obounded__lattice__bot(tc_fun(X1,X2))|~class_Lattices_Obounded__lattice(X2))). 341.39/43.39 cnf(i_0_383, plain, (class_Lattices_Obounded__lattice(tc_fun(X1,X2))|~class_Lattices_Obounded__lattice(X2))). 341.39/43.39 cnf(i_0_234, plain, (class_Orderings_Obot(tc_fun(X1,X2))|~class_Orderings_Obot(X2))). 341.39/43.39 cnf(i_0_56, plain, (class_Groups_Ominus(tc_fun(X1,X2))|~class_Groups_Ominus(X2))). 341.39/43.39 cnf(i_0_679, plain, (class_Orderings_Oorder(tc_fun(X1,X2))|~class_Orderings_Oorder(X2))). 341.39/43.39 cnf(i_0_64, plain, (class_Orderings_Otop(tc_fun(X1,X2))|~class_Orderings_Otop(X2))). 341.39/43.39 cnf(i_0_100, plain, (class_Lattices_Osemilattice__sup(tc_fun(X1,X2))|~class_Lattices_Olattice(X2))). 341.39/43.39 cnf(i_0_489, plain, (c_Relation_Oantisym(X1,X2)|esk53_2(X2,X1)!=esk52_2(X2,X1))). 341.39/43.39 cnf(i_0_207, plain, (class_Orderings_Opreorder(tc_fun(X1,X2))|~class_Orderings_Opreorder(X2))). 341.39/43.39 cnf(i_0_422, plain, (class_Orderings_Oord(tc_fun(X1,X2))|~class_Orderings_Oord(X2))). 341.39/43.39 cnf(i_0_5, plain, (c_Relation_Otrans(X1,X2)|~c_Order__Relation_Opreorder__on(X1,X3,X2))). 341.39/43.39 cnf(i_0_677, plain, (c_Orderings_Oord__class_Oless__eq(X1,X2,c_Orderings_Otop__class_Otop(X1))|~class_Orderings_Otop(X1))). 341.39/43.39 cnf(i_0_225, plain, (c_Orderings_Oord__class_Oless__eq(X1,c_Orderings_Obot__class_Obot(X1),X2)|~class_Orderings_Obot(X1))). 341.39/43.39 cnf(i_0_29, plain, (~c_Wellfounded_Oacyclic(X1,X2)|~c_member(tc_prod(X1,X1),c_Product__Type_OPair(X1,X1,X3,X3),c_Transitive__Closure_Otrancl(X1,X2)))). 341.39/43.39 cnf(i_0_212, plain, (~c_Wellfounded_Owf(X1,X2)|~c_member(tc_prod(X1,X1),c_Product__Type_OPair(X1,X1,X3,X3),X2))). 341.39/43.39 cnf(i_0_7, plain, (X1=X2|c_Product__Type_OPair(X3,X4,X5,X2)!=c_Product__Type_OPair(X3,X4,X6,X1))). 341.39/43.39 cnf(i_0_89, plain, (c_Relation_Otrans(X1,X2)|~c_Order__Relation_Ostrict__linear__order__on(X1,X3,X2))). 341.39/43.39 cnf(i_0_92, plain, (c_Lattices_Osemilattice__inf__class_Oinf(X1,X2,X2)=X2|~class_Lattices_Osemilattice__inf(X1))). 341.39/43.39 cnf(i_0_400, plain, (c_Lattices_Osemilattice__sup__class_Osup(X1,X2,X2)=X2|~class_Lattices_Osemilattice__sup(X1))). 341.39/43.39 cnf(i_0_539, plain, (~c_Relation_Oirrefl(X1,X2)|~c_member(tc_prod(X1,X1),c_Product__Type_OPair(X1,X1,X3,X3),X2))). 341.39/43.39 cnf(i_0_586, plain, (~c_Wellfounded_Owf(X1,c_Set_Oinsert(tc_prod(X1,X1),c_Product__Type_OPair(X1,X1,X2,X3),X4))|~c_member(tc_prod(X1,X1),c_Product__Type_OPair(X1,X1,X3,X2),c_Transitive__Closure_Ortrancl(X1,X4)))). 341.39/43.39 cnf(i_0_339, plain, (~c_Wellfounded_Oacyclic(X1,c_Set_Oinsert(tc_prod(X1,X1),c_Product__Type_OPair(X1,X1,X2,X3),X4))|~c_member(tc_prod(X1,X1),c_Product__Type_OPair(X1,X1,X3,X2),c_Transitive__Closure_Ortrancl(X1,X4)))). 341.39/43.39 cnf(i_0_8, plain, (X1=X2|c_Product__Type_OPair(X3,X4,X1,X5)!=c_Product__Type_OPair(X3,X4,X2,X6))). 341.39/43.39 cnf(i_0_706, plain, (c_Relation_Oantisym(X1,X2)|~c_Order__Relation_Opartial__order__on(X1,X3,X2))). 341.39/43.39 cnf(i_0_647, plain, (c_Wellfounded_Owf(X1,c_Transitive__Closure_Otrancl(X1,X2))|~c_Wellfounded_Owf(X1,X2))). 341.39/43.39 cnf(i_0_151, plain, (c_Relation_Ototal__on(X1,X2,X3)|c_member(X1,esk10_3(X3,X2,X1),X2))). 341.39/43.39 cnf(i_0_150, plain, (c_Relation_Ototal__on(X1,X2,X3)|c_member(X1,esk11_3(X3,X2,X1),X2))). 341.39/43.39 cnf(i_0_774, plain, (~c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,X1,X2),X3)|~c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,X2,X1),X3)|~c_member(tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool),X3,c_Arrow__Order__Mirabelle_OLin))). 341.39/43.39 cnf(i_0_196, plain, (c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(X1,tc_HOL_Obool),X2,X3)!=c_Orderings_Obot__class_Obot(tc_fun(X1,tc_HOL_Obool))|~c_member(X1,X4,X3)|~c_member(X1,X4,X2))). 341.39/43.39 cnf(i_0_309, plain, (c_member(X1,X2,c_Set_Oinsert(X1,X3,X4))|~c_member(X1,X2,X4))). 341.39/43.39 cnf(i_0_91, plain, (c_Relation_Oirrefl(X1,X2)|~c_Order__Relation_Ostrict__linear__order__on(X1,X3,X2))). 341.39/43.39 cnf(i_0_130, plain, (c_Relation_Oantisym(X1,c_Transitive__Closure_Ortrancl(X1,X2))|~c_Wellfounded_Oacyclic(X1,X2))). 341.39/43.39 cnf(i_0_245, plain, (c_Lattices_Osemilattice__inf__class_Oinf(X1,X2,c_Orderings_Otop__class_Otop(X1))=X2|~class_Lattices_Obounded__lattice__top(X1))). 341.39/43.39 cnf(i_0_12, plain, (c_Lattices_Osemilattice__inf__class_Oinf(X1,c_Orderings_Otop__class_Otop(X1),X2)=X2|~class_Lattices_Obounded__lattice__top(X1))). 341.39/43.39 cnf(i_0_329, plain, (c_Lattices_Osemilattice__sup__class_Osup(X1,X2,c_Orderings_Obot__class_Obot(X1))=X2|~class_Lattices_Obounded__lattice__bot(X1))). 341.39/43.39 cnf(i_0_114, plain, (~c_Wellfounded_Owf(X1,X2)|~c_member(tc_prod(X1,X1),c_Product__Type_OPair(X1,X1,X3,X4),X2)|~c_member(tc_prod(X1,X1),c_Product__Type_OPair(X1,X1,X4,X3),X2))). 341.39/43.39 cnf(i_0_739, plain, (X1=X2|~hBOOL(hAPP(c_fequal(X1),X2)))). 341.39/43.39 cnf(i_0_69, plain, (c_member(X1,X2,c_Wellfounded_Oacc(X1,X3))|~c_Wellfounded_Owf(X1,X3))). 341.39/43.39 cnf(i_0_21, plain, (c_member(X1,X2,X3)|~hBOOL(hAPP(X3,X2)))). 341.39/43.39 cnf(i_0_85, plain, (c_Orderings_Oord__class_Oless__eq(X1,X2,X2)|~class_Orderings_Oorder(X1))). 341.39/43.39 cnf(i_0_668, plain, (c_Lattices_Osemilattice__sup__class_Osup(X1,c_Orderings_Obot__class_Obot(X1),X2)=X2|~class_Lattices_Obounded__lattice__bot(X1))). 341.39/43.39 cnf(i_0_670, plain, (c_Orderings_Oord__class_Oless__eq(X1,X2,c_Lattices_Osemilattice__sup__class_Osup(X1,X3,X2))|~class_Lattices_Olattice(X1))). 341.39/43.39 cnf(i_0_790, plain, (c_Orderings_Oord__class_Oless__eq(X1,X2,c_Lattices_Osemilattice__sup__class_Osup(X1,X3,X2))|~class_Lattices_Osemilattice__sup(X1))). 341.39/43.39 cnf(i_0_370, plain, (c_Orderings_Oord__class_Oless__eq(X1,X2,c_Lattices_Osemilattice__sup__class_Osup(X1,X2,X3))|~class_Lattices_Olattice(X1))). 341.39/43.39 cnf(i_0_330, plain, (c_Orderings_Oord__class_Oless__eq(X1,X2,c_Lattices_Osemilattice__sup__class_Osup(X1,X2,X3))|~class_Lattices_Osemilattice__sup(X1))). 341.39/43.39 cnf(i_0_781, plain, (c_Orderings_Oord__class_Oless__eq(X1,c_Lattices_Osemilattice__inf__class_Oinf(X1,X2,X3),X3)|~class_Lattices_Osemilattice__inf(X1))). 341.39/43.39 cnf(i_0_745, plain, (c_Orderings_Oord__class_Oless__eq(X1,c_Lattices_Osemilattice__inf__class_Oinf(X1,X2,X3),X3)|~class_Lattices_Olattice(X1))). 341.39/43.39 cnf(i_0_705, plain, (c_Order__Relation_Opreorder__on(X1,X2,X3)|~c_Order__Relation_Opartial__order__on(X1,X2,X3))). 341.39/43.39 cnf(i_0_4, plain, (c_Relation_Orefl__on(X1,X2,X3)|~c_Order__Relation_Opreorder__on(X1,X2,X3))). 341.39/43.39 cnf(i_0_90, plain, (c_Relation_Ototal__on(X1,X2,X3)|~c_Order__Relation_Ostrict__linear__order__on(X1,X2,X3))). 341.39/43.39 cnf(i_0_746, plain, (c_member(tc_prod(X1,X1),X2,c_Transitive__Closure_Otrancl(X1,X3))|~c_member(tc_prod(X1,X1),X2,X3))). 341.39/43.39 cnf(i_0_22, plain, (hBOOL(hAPP(X1,X2))|~c_member(X3,X2,X1))). 341.39/43.39 cnf(i_0_627, plain, (c_Orderings_Oord__class_Oless__eq(X1,c_Lattices_Osemilattice__inf__class_Oinf(X1,X2,X3),X2)|~class_Lattices_Osemilattice__inf(X1))). 341.39/43.39 cnf(i_0_119, plain, (c_Orderings_Oord__class_Oless__eq(X1,c_Lattices_Osemilattice__inf__class_Oinf(X1,X2,X3),X2)|~class_Lattices_Olattice(X1))). 341.39/43.39 cnf(i_0_48, plain, (c_Orderings_Obot__class_Obot(tc_fun(X1,tc_HOL_Obool))=X2|c_member(X1,esk3_2(X2,X1),X2))). 341.39/43.39 cnf(i_0_733, plain, (c_Orderings_Obot__class_Obot(tc_fun(X1,tc_HOL_Obool))=X2|c_member(X1,esk73_2(X2,X1),X2))). 341.39/43.39 cnf(i_0_420, plain, (c_Relation_Ototal__on(X1,X2,X3)|~c_Order__Relation_Olinear__order__on(X1,X2,X3))). 341.39/43.39 cnf(i_0_180, plain, (c_Order__Relation_Olinear__order__on(X1,X2,X3)|~c_Order__Relation_Owell__order__on(X1,X2,X3))). 341.39/43.39 cnf(i_0_747, plain, (c_Relation_Osingle__valued(X1,X2,X3)|esk80_3(X3,X2,X1)!=esk79_3(X3,X2,X1))). 341.39/43.39 cnf(i_0_325, plain, (c_member(tc_prod(X1,X1),X2,c_Transitive__Closure_Ortrancl(X1,X3))|~c_member(tc_prod(X1,X1),X2,X3))). 341.39/43.39 cnf(i_0_468, plain, (X1=X2|c_member(X3,X1,X4)|~c_member(X3,X1,c_Set_Oinsert(X3,X2,X4)))). 341.39/43.39 cnf(i_0_421, plain, (c_Order__Relation_Opartial__order__on(X1,X2,X3)|~c_Order__Relation_Olinear__order__on(X1,X2,X3))). 341.39/43.39 cnf(i_0_240, plain, (c_Lattices_Osemilattice__sup__class_Osup(X1,X2,c_Orderings_Otop__class_Otop(X1))=c_Orderings_Otop__class_Otop(X1)|~class_Lattices_Obounded__lattice__top(X1))). 341.39/43.39 cnf(i_0_667, plain, (c_Lattices_Osemilattice__inf__class_Oinf(X1,X2,c_Orderings_Obot__class_Obot(X1))=c_Orderings_Obot__class_Obot(X1)|~class_Lattices_Obounded__lattice__bot(X1))). 341.39/43.39 cnf(i_0_382, plain, (c_Lattices_Osemilattice__sup__class_Osup(X1,c_Orderings_Otop__class_Otop(X1),X2)=c_Orderings_Otop__class_Otop(X1)|~class_Lattices_Obounded__lattice__top(X1))). 341.39/43.39 cnf(i_0_782, plain, (c_Relation_Osingle__valued(X1,X2,X3)|esk86_3(X3,X2,X1)!=esk85_3(X3,X2,X1))). 341.39/43.39 cnf(i_0_149, plain, (c_Relation_Ototal__on(X1,X2,X3)|esk11_3(X3,X2,X1)!=esk10_3(X3,X2,X1))). 341.39/43.39 cnf(i_0_63, plain, (X1=c_Orderings_Obot__class_Obot(tc_fun(X2,tc_HOL_Obool))|c_Equiv__Relations_Oquotient(X2,X1,X3)!=c_Orderings_Obot__class_Obot(tc_fun(tc_fun(X2,tc_HOL_Obool),tc_HOL_Obool)))). 341.39/43.39 cnf(i_0_527, plain, (X1=X2|c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,X2,X1),c_Arrow__Order__Mirabelle_Omktop(X3,X1)))). 341.39/43.39 cnf(i_0_726, plain, (c_Lattices_Osemilattice__inf__class_Oinf(X1,c_Orderings_Obot__class_Obot(X1),X2)=c_Orderings_Obot__class_Obot(X1)|~class_Lattices_Obounded__lattice__bot(X1))). 341.39/43.39 cnf(i_0_560, plain, (c_Orderings_Oord__class_Oless__eq(X1,X2,X3)|c_Orderings_Oord__class_Oless__eq(X1,X3,X2)|~class_Orderings_Olinorder(X1))). 341.39/43.39 cnf(i_0_419, plain, (c_Order__Relation_Olinear__order__on(X1,X2,X3)|~c_Order__Relation_Opartial__order__on(X1,X2,X3)|~c_Relation_Ototal__on(X1,X2,X3))). 341.39/43.39 cnf(i_0_68, plain, (c_Wellfounded_Owf(X1,X2)|~c_member(X1,esk4_2(X2,X1),c_Wellfounded_Oacc(X1,X2)))). 341.39/43.39 cnf(i_0_127, plain, (X1=X2|c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,X1,X2),c_Arrow__Order__Mirabelle_Omkbot(X3,X1)))). 341.39/43.39 cnf(i_0_3, plain, (c_Order__Relation_Opreorder__on(X1,X2,X3)|~c_Relation_Orefl__on(X1,X2,X3)|~c_Relation_Otrans(X1,X3))). 341.39/43.39 cnf(i_0_671, plain, (hAPP(c_Orderings_Obot__class_Obot(tc_fun(X1,X2)),X3)=c_Orderings_Obot__class_Obot(X2)|~class_Orderings_Obot(X2))). 341.39/43.39 cnf(i_0_59, plain, (hAPP(c_Orderings_Otop__class_Otop(tc_fun(X1,X2)),X3)=c_Orderings_Otop__class_Otop(X2)|~class_Orderings_Otop(X2))). 341.39/43.39 cnf(i_0_289, plain, (c_Lattices_Osemilattice__sup__class_Osup(X1,X2,X3)=c_Lattices_Osemilattice__sup__class_Osup(X1,X3,X2)|~class_Lattices_Olattice(X1))). 341.39/43.39 cnf(i_0_140, plain, (c_Lattices_Osemilattice__sup__class_Osup(X1,X2,X3)=c_Lattices_Osemilattice__sup__class_Osup(X1,X3,X2)|~class_Lattices_Osemilattice__sup(X1))). 341.39/43.39 cnf(i_0_391, plain, (c_Orderings_Oord__class_Oless__eq(X1,X2,X3)|c_Lattices_Osemilattice__sup__class_Osup(X1,X2,X3)!=X3|~class_Lattices_Osemilattice__sup(X1))). 341.39/43.39 cnf(i_0_574, plain, (c_Orderings_Oord__class_Oless__eq(X1,X2,X3)|c_Lattices_Osemilattice__inf__class_Oinf(X1,X2,X3)!=X2|~class_Lattices_Osemilattice__inf(X1))). 341.39/43.39 cnf(i_0_131, plain, (X1=c_Orderings_Obot__class_Obot(X2)|c_Orderings_Obot__class_Obot(X2)!=c_Lattices_Osemilattice__sup__class_Osup(X2,X3,X1)|~class_Lattices_Obounded__lattice__bot(X2))). 341.39/43.39 cnf(i_0_523, plain, (X1=X2|c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,X3,X1),X4)|~c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,X3,X1),c_Arrow__Order__Mirabelle_Omktop(X4,X2)))). 341.39/43.39 cnf(i_0_124, plain, (X1=X2|c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,X2,X3),X4)|~c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,X2,X3),c_Arrow__Order__Mirabelle_Omkbot(X4,X1)))). 341.39/43.39 cnf(i_0_704, plain, (c_Order__Relation_Opartial__order__on(X1,X2,X3)|~c_Relation_Oantisym(X1,X3)|~c_Order__Relation_Opreorder__on(X1,X2,X3))). 341.39/43.39 cnf(i_0_435, plain, (c_Lattices_Osemilattice__inf__class_Oinf(X1,X2,X3)=c_Lattices_Osemilattice__inf__class_Oinf(X1,X3,X2)|~class_Lattices_Osemilattice__inf(X1))). 341.39/43.39 cnf(i_0_437, plain, (c_Lattices_Osemilattice__inf__class_Oinf(X1,X2,X3)=c_Lattices_Osemilattice__inf__class_Oinf(X1,X3,X2)|~class_Lattices_Olattice(X1))). 341.39/43.39 cnf(i_0_384, plain, (c_Lattices_Osemilattice__inf__class_Oinf(X1,X2,c_Lattices_Osemilattice__sup__class_Osup(X1,X2,X3))=X2|~class_Lattices_Olattice(X1))). 341.39/43.39 cnf(i_0_494, plain, (c_Lattices_Osemilattice__sup__class_Osup(X1,X2,c_Lattices_Osemilattice__inf__class_Oinf(X1,X2,X3))=X2|~class_Lattices_Olattice(X1))). 341.39/43.39 cnf(i_0_696, plain, (X1=c_Orderings_Otop__class_Otop(X2)|c_Lattices_Osemilattice__inf__class_Oinf(X2,X3,X1)!=c_Orderings_Otop__class_Otop(X2)|~class_Lattices_Obounded__lattice__top(X2))). 341.39/43.39 cnf(i_0_132, plain, (c_Orderings_Obot__class_Obot(X1)=X2|c_Orderings_Obot__class_Obot(X1)!=c_Lattices_Osemilattice__sup__class_Osup(X1,X2,X3)|~class_Lattices_Obounded__lattice__bot(X1))). 341.39/43.39 cnf(i_0_695, plain, (c_Orderings_Otop__class_Otop(X1)=X2|c_Lattices_Osemilattice__inf__class_Oinf(X1,X2,X3)!=c_Orderings_Otop__class_Otop(X1)|~class_Lattices_Obounded__lattice__top(X1))). 341.39/43.39 cnf(i_0_203, plain, (hBOOL(hAPP(c_Set_Oinsert(X1,X2,X3),X4))|~hBOOL(hAPP(X3,X4)))). 341.39/43.39 cnf(i_0_378, plain, (c_Relation_Otrans(X1,c_Relation_Oinv__image(X2,X1,X3,X4))|~c_Relation_Otrans(X2,X3))). 341.39/43.39 cnf(i_0_18, plain, (c_Wellfounded_Owf(X1,c_Relation_Oinv__image(X2,X1,X3,X4))|~c_Wellfounded_Owf(X2,X3))). 341.39/43.39 cnf(i_0_224, plain, (X1=X2|~c_member(X3,X1,c_Set_Oinsert(X3,X2,c_Orderings_Obot__class_Obot(tc_fun(X3,tc_HOL_Obool)))))). 341.39/43.39 cnf(i_0_194, plain, (hBOOL(hAPP(X1,X2))|~hBOOL(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(X3,tc_HOL_Obool),X4,X1),X2)))). 341.39/43.39 cnf(i_0_141, plain, (X1=X2|~c_member(tc_prod(X3,X3),c_Product__Type_OPair(X3,X3,X2,X1),c_Relation_OId__on(X3,X4)))). 341.39/43.39 cnf(i_0_390, plain, (c_Lattices_Osemilattice__sup__class_Osup(X1,X2,X3)=X3|~class_Lattices_Osemilattice__sup(X1)|~c_Orderings_Oord__class_Oless__eq(X1,X2,X3))). 341.39/43.39 cnf(i_0_407, plain, (X1=X2|hAPP(X1,esk44_2(X1,X2))!=hAPP(X2,esk44_2(X1,X2)))). 341.39/43.39 cnf(i_0_192, plain, (hBOOL(hAPP(X1,X2))|~hBOOL(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(X3,tc_HOL_Obool),X1,X4),X2)))). 341.39/43.39 cnf(i_0_128, plain, (X1=X2|X3=X2|c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,X1,X3),c_Arrow__Order__Mirabelle_Omkbot(X4,X2))|~c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,X1,X3),X4))). 341.39/43.39 cnf(i_0_528, plain, (X1=X2|X3=X2|c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,X1,X3),c_Arrow__Order__Mirabelle_Omktop(X4,X2))|~c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,X1,X3),X4))). 341.39/43.39 cnf(i_0_37, plain, (c_Lattices_Osemilattice__inf__class_Oinf(X1,X2,X3)=X2|~c_Orderings_Oord__class_Oless__eq(X1,X2,X3)|~class_Lattices_Osemilattice__inf(X1))). 341.39/43.39 cnf(i_0_683, plain, (c_Lattices_Osemilattice__sup__class_Osup(X1,X2,c_Lattices_Osemilattice__sup__class_Osup(X1,X2,X3))=c_Lattices_Osemilattice__sup__class_Osup(X1,X2,X3)|~class_Lattices_Olattice(X1))). 341.39/43.39 cnf(i_0_618, plain, (c_Lattices_Osemilattice__inf__class_Oinf(X1,X2,c_Lattices_Osemilattice__inf__class_Oinf(X1,X2,X3))=c_Lattices_Osemilattice__inf__class_Oinf(X1,X2,X3)|~class_Lattices_Osemilattice__inf(X1))). 341.39/43.39 cnf(i_0_254, plain, (c_Lattices_Osemilattice__sup__class_Osup(X1,X2,c_Lattices_Osemilattice__sup__class_Osup(X1,X2,X3))=c_Lattices_Osemilattice__sup__class_Osup(X1,X2,X3)|~class_Lattices_Osemilattice__sup(X1))). 341.39/43.39 cnf(i_0_581, plain, (X1=c_Orderings_Obot__class_Obot(tc_fun(tc_prod(X2,X3),tc_HOL_Obool))|c_Relation_ODomain(X2,X3,X1)!=c_Orderings_Obot__class_Obot(tc_fun(X2,tc_HOL_Obool)))). 341.39/43.39 cnf(i_0_692, plain, (c_Orderings_Obot__class_Obot(tc_fun(tc_prod(X1,X2),tc_HOL_Obool))=X3|c_Relation_ORange(X1,X2,X3)!=c_Orderings_Obot__class_Obot(tc_fun(X2,tc_HOL_Obool)))). 341.39/43.39 cnf(i_0_352, plain, (c_Orderings_Oord__class_Oless__eq(tc_fun(X1,tc_HOL_Obool),X2,X3)|c_Lattices_Osemilattice__sup__class_Osup(tc_fun(X1,tc_HOL_Obool),X2,X3)!=X3)). 341.39/43.39 cnf(i_0_126, plain, (X1=X2|X2=X3|c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,X1,X2),c_Arrow__Order__Mirabelle_Omkbot(X4,X3))|~c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,X1,X2),X4))). 341.39/43.39 cnf(i_0_526, plain, (X1=X2|X1=X3|c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,X1,X2),c_Arrow__Order__Mirabelle_Omktop(X4,X3))|~c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,X1,X2),X4))). 341.39/43.39 cnf(i_0_406, plain, (c_Lattices_Osemilattice__sup__class_Osup(X1,X2,X3)=X2|~class_Lattices_Osemilattice__sup(X1)|~c_Orderings_Oord__class_Oless__eq(X1,X3,X2))). 341.39/43.39 cnf(i_0_319, plain, (c_Lattices_Osemilattice__inf__class_Oinf(X1,X2,c_Lattices_Osemilattice__inf__class_Oinf(X1,X2,X3))=c_Lattices_Osemilattice__inf__class_Oinf(X1,X2,X3)|~class_Lattices_Olattice(X1))). 341.39/43.39 cnf(i_0_623, plain, (c_Wellfounded_Owf(X1,c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(tc_prod(X1,X1),tc_HOL_Obool),X2,X3))|~c_Wellfounded_Owf(X1,X3))). 341.39/43.39 cnf(i_0_268, plain, (c_Wellfounded_Owf(X1,c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(tc_prod(X1,X1),tc_HOL_Obool),X2,X3))|~c_Wellfounded_Owf(X1,X2))). 341.39/43.39 cnf(i_0_430, plain, (c_member(tc_prod(X1,X1),c_Product__Type_OPair(X1,X1,X2,X2),X3)|~c_Nitpick_Orefl_H(X1,X3))). 341.39/43.39 cnf(i_0_173, plain, (c_member(tc_prod(X1,X1),c_Product__Type_OPair(X1,X1,esk12_2(X2,X1),esk13_2(X2,X1)),X2)|c_Relation_Otrans(X1,X2))). 341.39/43.39 cnf(i_0_172, plain, (c_member(tc_prod(X1,X1),c_Product__Type_OPair(X1,X1,esk13_2(X2,X1),esk14_2(X2,X1)),X2)|c_Relation_Otrans(X1,X2))). 341.39/43.39 cnf(i_0_241, plain, (c_Orderings_Obot__class_Obot(tc_fun(X1,tc_HOL_Obool))=X2|~c_Orderings_Oord__class_Oless__eq(tc_fun(X1,tc_HOL_Obool),X2,c_Orderings_Obot__class_Obot(tc_fun(X1,tc_HOL_Obool))))). 341.39/43.39 cnf(i_0_49, plain, (X1=X2|~class_Orderings_Oorder(X3)|~c_Orderings_Oord__class_Oless__eq(X3,X2,X1)|~c_Orderings_Oord__class_Oless__eq(X3,X1,X2))). 341.39/43.39 cnf(i_0_142, plain, (c_member(X1,X2,X3)|~c_member(tc_prod(X1,X1),c_Product__Type_OPair(X1,X1,X2,X4),c_Relation_OId__on(X1,X3)))). 341.39/43.39 cnf(i_0_9, plain, (c_Lattices_Osemilattice__inf__class_Oinf(X1,X2,X3)=X3|~c_Orderings_Oord__class_Oless__eq(X1,X3,X2)|~class_Lattices_Osemilattice__inf(X1))). 341.39/43.39 cnf(i_0_364, plain, (c_member(tc_prod(X1,X1),c_Product__Type_OPair(X1,X1,X2,X2),c_Relation_OId__on(X1,X3))|~c_member(X1,X2,X3))). 341.39/43.39 cnf(i_0_465, plain, (c_member(tc_prod(X1,X1),c_Product__Type_OPair(X1,X1,esk48_2(X2,X1),esk49_2(X2,X1)),X2)|c_Relation_Otrans(X1,X2))). 341.39/43.39 cnf(i_0_464, plain, (c_member(tc_prod(X1,X1),c_Product__Type_OPair(X1,X1,esk49_2(X2,X1),esk50_2(X2,X1)),X2)|c_Relation_Otrans(X1,X2))). 341.39/43.39 cnf(i_0_72, plain, (c_Relation_Oantisym(X1,X2)|c_member(tc_prod(X1,X1),c_Product__Type_OPair(X1,X1,esk5_2(X2,X1),esk6_2(X2,X1)),X2))). 341.39/43.39 cnf(i_0_71, plain, (c_Relation_Oantisym(X1,X2)|c_member(tc_prod(X1,X1),c_Product__Type_OPair(X1,X1,esk6_2(X2,X1),esk5_2(X2,X1)),X2))). 341.39/43.39 cnf(i_0_491, plain, (c_Relation_Oantisym(X1,X2)|c_member(tc_prod(X1,X1),c_Product__Type_OPair(X1,X1,esk52_2(X2,X1),esk53_2(X2,X1)),X2))). 341.39/43.39 cnf(i_0_490, plain, (c_Relation_Oantisym(X1,X2)|c_member(tc_prod(X1,X1),c_Product__Type_OPair(X1,X1,esk53_2(X2,X1),esk52_2(X2,X1)),X2))). 341.39/43.39 cnf(i_0_540, plain, (c_Relation_Oirrefl(X1,X2)|c_member(tc_prod(X1,X1),c_Product__Type_OPair(X1,X1,esk58_2(X2,X1),esk58_2(X2,X1)),X2))). 341.39/43.39 cnf(i_0_731, plain, (c_member(X1,X2,X3)|~c_Orderings_Oord__class_Oless__eq(tc_fun(X1,tc_HOL_Obool),c_Set_Oinsert(X1,X2,X4),X3))). 341.39/43.39 cnf(i_0_88, plain, (c_Order__Relation_Ostrict__linear__order__on(X1,X2,X3)|~c_Relation_Ototal__on(X1,X2,X3)|~c_Relation_Oirrefl(X1,X3)|~c_Relation_Otrans(X1,X3))). 341.39/43.39 cnf(i_0_545, plain, (hBOOL(hAPP(X1,esk59_4(X2,X3,X4,X1)))|c_Wellfounded_Owf(tc_prod(X2,X4),c_Recdef_Osame__fst(X2,X4,X1,X3)))). 341.39/43.39 cnf(i_0_145, plain, (c_member(X1,X2,c_Lattices_Osemilattice__sup__class_Osup(tc_fun(X1,tc_HOL_Obool),X3,X4))|~c_member(X1,X2,X4))). 341.39/43.39 cnf(i_0_61, plain, (c_member(X1,X2,c_Lattices_Osemilattice__sup__class_Osup(tc_fun(X1,tc_HOL_Obool),X3,X4))|~c_member(X1,X2,X3))). 341.39/43.39 cnf(i_0_93, plain, (c_member(X1,X2,X3)|~c_member(X1,X2,c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(X1,tc_HOL_Obool),X4,X3)))). 341.39/43.39 cnf(i_0_23, plain, (c_member(X1,X2,c_Wellfounded_Oacc(X1,X3))|~c_member(X1,esk1_3(X3,X2,X1),c_Wellfounded_Oacc(X1,X3)))). 341.39/43.39 cnf(i_0_204, plain, (X1=X2|hBOOL(hAPP(X3,X2))|~hBOOL(hAPP(c_Set_Oinsert(X4,X1,X3),X2)))). 341.39/43.39 cnf(i_0_447, plain, (hBOOL(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(X1,tc_HOL_Obool),X2,X3),X4))|~hBOOL(hAPP(X3,X4)))). 341.39/43.39 cnf(i_0_232, plain, (hBOOL(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(X1,tc_HOL_Obool),X2,X3),X4))|~hBOOL(hAPP(X2,X4)))). 341.39/43.39 cnf(i_0_199, plain, (c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(X1,tc_HOL_Obool),X2,X3)=c_Orderings_Obot__class_Obot(tc_fun(X1,tc_HOL_Obool))|c_member(X1,esk19_3(X3,X2,X1),X2))). 341.39/43.39 cnf(i_0_198, plain, (c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(X1,tc_HOL_Obool),X2,X3)=c_Orderings_Obot__class_Obot(tc_fun(X1,tc_HOL_Obool))|c_member(X1,esk20_3(X3,X2,X1),X3))). 341.39/43.39 cnf(i_0_98, plain, (c_member(X1,X2,X3)|~c_member(X1,X2,c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(X1,tc_HOL_Obool),X3,X4)))). 341.39/43.39 cnf(i_0_94, plain, (c_member(X1,X2,c_Wellfounded_Oacc(X1,X3))|~c_member(X1,esk7_3(X3,X2,X1),c_Wellfounded_Oacc(X1,X3)))). 341.39/43.39 cnf(i_0_190, plain, (c_member(X1,X2,c_Wellfounded_Oacc(X1,X3))|~c_member(X1,esk18_3(X3,X2,X1),c_Wellfounded_Oacc(X1,X3)))). 341.39/43.39 cnf(i_0_28, plain, (c_Wellfounded_Oacyclic(X1,X2)|c_member(tc_prod(X1,X1),c_Product__Type_OPair(X1,X1,esk2_2(X2,X1),esk2_2(X2,X1)),c_Transitive__Closure_Otrancl(X1,X2)))). 341.39/43.39 cnf(i_0_188, plain, (c_Wellfounded_Oacyclic(X1,X2)|c_member(tc_prod(X1,X1),c_Product__Type_OPair(X1,X1,esk17_2(X2,X1),esk17_2(X2,X1)),c_Transitive__Closure_Otrancl(X1,X2)))). 341.39/43.39 cnf(i_0_701, plain, (c_member(X1,X2,X3)|~c_member(X1,X2,c_Groups_Ominus__class_Ominus(tc_fun(X1,tc_HOL_Obool),X3,X4)))). 341.39/43.39 cnf(i_0_197, plain, (c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(X1,tc_HOL_Obool),X2,X3)=c_Orderings_Obot__class_Obot(tc_fun(X1,tc_HOL_Obool))|esk19_3(X3,X2,X1)=esk20_3(X3,X2,X1))). 341.39/43.39 cnf(i_0_311, plain, (X1=X2|c_member(X3,X4,X1)|c_member(X3,X4,X2)|c_Set_Oinsert(X3,X4,X1)!=c_Set_Oinsert(X3,X4,X2))). 341.39/43.39 cnf(i_0_24, plain, (c_member(tc_prod(X1,X1),c_Product__Type_OPair(X1,X1,esk1_3(X2,X3,X1),X3),X2)|c_member(X1,X3,c_Wellfounded_Oacc(X1,X2)))). 341.39/43.39 cnf(i_0_95, plain, (c_member(tc_prod(X1,X1),c_Product__Type_OPair(X1,X1,esk7_3(X2,X3,X1),X3),X2)|c_member(X1,X3,c_Wellfounded_Oacc(X1,X2)))). 341.39/43.39 cnf(i_0_191, plain, (c_member(tc_prod(X1,X1),c_Product__Type_OPair(X1,X1,esk18_3(X2,X3,X1),X3),X2)|c_member(X1,X3,c_Wellfounded_Oacc(X1,X2)))). 341.39/43.39 cnf(i_0_244, plain, (c_Lattices_Osemilattice__sup__class_Osup(X1,X2,c_Lattices_Osemilattice__sup__class_Osup(X1,X3,X4))=c_Lattices_Osemilattice__sup__class_Osup(X1,X3,c_Lattices_Osemilattice__sup__class_Osup(X1,X2,X4))|~class_Lattices_Olattice(X1))). 341.39/43.39 cnf(i_0_195, plain, (c_Lattices_Osemilattice__sup__class_Osup(X1,X2,c_Lattices_Osemilattice__sup__class_Osup(X1,X3,X4))=c_Lattices_Osemilattice__sup__class_Osup(X1,X3,c_Lattices_Osemilattice__sup__class_Osup(X1,X2,X4))|~class_Lattices_Osemilattice__sup(X1))). 341.39/43.39 cnf(i_0_181, plain, (c_Lattices_Osemilattice__inf__class_Oinf(X1,X2,c_Lattices_Osemilattice__inf__class_Oinf(X1,X3,X4))=c_Lattices_Osemilattice__inf__class_Oinf(X1,X3,c_Lattices_Osemilattice__inf__class_Oinf(X1,X2,X4))|~class_Lattices_Osemilattice__inf(X1))). 341.39/43.39 cnf(i_0_521, plain, (X1=X2|c_Groups_Ominus__class_Ominus(X3,X4,X4)!=c_Groups_Ominus__class_Ominus(X3,X1,X2)|~class_Groups_Oab__group__add(X3))). 341.39/43.39 cnf(i_0_483, plain, (X1=X2|c_member(X3,X1,c_Relation_ODomain(X3,X3,X4))|~c_member(tc_prod(X3,X3),c_Product__Type_OPair(X3,X3,X1,X2),c_Transitive__Closure_Ortrancl(X3,X4)))). 341.39/43.39 cnf(i_0_316, plain, (c_member(tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool),c_Arrow__Order__Mirabelle_Omkbot(X1,X2),c_Arrow__Order__Mirabelle_OLin)|~c_member(tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool),X1,c_Arrow__Order__Mirabelle_OLin))). 341.39/43.39 cnf(i_0_460, plain, (c_Lattices_Osemilattice__inf__class_Oinf(X1,X2,c_Lattices_Osemilattice__inf__class_Oinf(X1,X3,X4))=c_Lattices_Osemilattice__inf__class_Oinf(X1,X3,c_Lattices_Osemilattice__inf__class_Oinf(X1,X2,X4))|~class_Lattices_Olattice(X1))). 341.39/43.39 cnf(i_0_626, plain, (c_Lattices_Osemilattice__sup__class_Osup(X1,c_Lattices_Osemilattice__sup__class_Osup(X1,X2,X3),X4)=c_Lattices_Osemilattice__sup__class_Osup(X1,X2,c_Lattices_Osemilattice__sup__class_Osup(X1,X3,X4))|~class_Lattices_Olattice(X1))). 341.39/43.39 cnf(i_0_518, plain, (c_Lattices_Osemilattice__sup__class_Osup(X1,c_Lattices_Osemilattice__sup__class_Osup(X1,X2,X3),X4)=c_Lattices_Osemilattice__sup__class_Osup(X1,X2,c_Lattices_Osemilattice__sup__class_Osup(X1,X3,X4))|~class_Lattices_Osemilattice__sup(X1))). 341.39/43.39 cnf(i_0_708, plain, (c_Lattices_Osemilattice__inf__class_Oinf(X1,c_Lattices_Osemilattice__inf__class_Oinf(X1,X2,X3),X4)=c_Lattices_Osemilattice__inf__class_Oinf(X1,X2,c_Lattices_Osemilattice__inf__class_Oinf(X1,X3,X4))|~class_Lattices_Osemilattice__inf(X1))). 341.39/43.39 cnf(i_0_409, plain, (c_Lattices_Osemilattice__inf__class_Oinf(X1,c_Lattices_Osemilattice__inf__class_Oinf(X1,X2,X3),X4)=c_Lattices_Osemilattice__inf__class_Oinf(X1,X2,c_Lattices_Osemilattice__inf__class_Oinf(X1,X3,X4))|~class_Lattices_Olattice(X1))). 341.39/43.39 cnf(i_0_385, plain, (c_Orderings_Oord__class_Oless__eq(X1,X2,c_Lattices_Osemilattice__sup__class_Osup(X1,X3,X4))|~class_Lattices_Osemilattice__sup(X1)|~c_Orderings_Oord__class_Oless__eq(X1,X2,X4))). 341.39/43.39 cnf(i_0_414, plain, (X1=X2|~c_Orderings_Oord__class_Oless__eq(tc_fun(X3,tc_HOL_Obool),X2,X1)|~c_Orderings_Oord__class_Oless__eq(tc_fun(X3,tc_HOL_Obool),X1,X2))). 341.39/43.39 cnf(i_0_721, plain, (c_Orderings_Obot__class_Obot(tc_fun(X1,tc_HOL_Obool))=X2|c_Orderings_Obot__class_Obot(tc_fun(X1,tc_HOL_Obool))!=c_Lattices_Osemilattice__sup__class_Osup(tc_fun(X1,tc_HOL_Obool),X3,X2))). 341.39/43.39 cnf(i_0_322, plain, (hAPP(hAPP(X1,esk32_6(X2,X3,X1,X4,X5,X6)),X3)=X2|~c_Recdef_Owfrec__rel(X6,X5,X4,X1,X3,X2))). 341.39/43.39 cnf(i_0_611, plain, (c_member(tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool),c_Arrow__Order__Mirabelle_Omktop(X1,X2),c_Arrow__Order__Mirabelle_OLin)|~c_member(tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool),X1,c_Arrow__Order__Mirabelle_OLin))). 341.39/43.39 cnf(i_0_720, plain, (c_Orderings_Obot__class_Obot(tc_fun(X1,tc_HOL_Obool))=X2|c_Orderings_Obot__class_Obot(tc_fun(X1,tc_HOL_Obool))!=c_Lattices_Osemilattice__sup__class_Osup(tc_fun(X1,tc_HOL_Obool),X2,X3))). 341.39/43.39 cnf(i_0_462, plain, (c_Orderings_Oord__class_Oless__eq(X1,X2,c_Lattices_Osemilattice__sup__class_Osup(X1,X3,X4))|~class_Lattices_Osemilattice__sup(X1)|~c_Orderings_Oord__class_Oless__eq(X1,X2,X3))). 341.39/43.39 cnf(i_0_410, plain, (c_Orderings_Oord__class_Oless__eq(X1,c_Lattices_Osemilattice__inf__class_Oinf(X1,X2,X3),X4)|~c_Orderings_Oord__class_Oless__eq(X1,X3,X4)|~class_Lattices_Osemilattice__inf(X1))). 341.39/43.39 cnf(i_0_106, plain, (c_Orderings_Oord__class_Oless__eq(X1,c_Lattices_Osemilattice__inf__class_Oinf(X1,X2,X3),X4)|~c_Orderings_Oord__class_Oless__eq(X1,X2,X4)|~class_Lattices_Osemilattice__inf(X1))). 341.39/43.39 cnf(i_0_536, plain, (c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(X1,tc_HOL_Obool),X2,c_Set_Oinsert(X1,X3,X4))=c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(X1,tc_HOL_Obool),X2,X4)|c_member(X1,X3,X2))). 341.39/43.39 cnf(i_0_264, plain, (c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(X1,tc_HOL_Obool),c_Set_Oinsert(X1,X2,X3),X4)=c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(X1,tc_HOL_Obool),X3,X4)|c_member(X1,X2,X4))). 341.39/43.39 cnf(i_0_507, plain, (c_Orderings_Oord__class_Oless__eq(X1,X2,X3)|~c_Orderings_Oord__class_Oless__eq(X1,X2,c_Lattices_Osemilattice__inf__class_Oinf(X1,X4,X3))|~class_Lattices_Osemilattice__inf(X1))). 341.39/43.39 cnf(i_0_508, plain, (c_Orderings_Oord__class_Oless__eq(X1,X2,X3)|~c_Orderings_Oord__class_Oless__eq(X1,X2,c_Lattices_Osemilattice__inf__class_Oinf(X1,X3,X4))|~class_Lattices_Osemilattice__inf(X1))). 341.39/43.39 cnf(i_0_218, plain, (c_member(tc_prod(X1,X1),c_Product__Type_OPair(X1,X1,X2,X3),c_Transitive__Closure_Ortrancl(X1,X4))|~c_member(tc_prod(X1,X1),c_Product__Type_OPair(X1,X1,X2,X3),c_Transitive__Closure_Otrancl(X1,X4)))). 341.39/43.39 cnf(i_0_593, plain, (hBOOL(hAPP(X1,X2))|~hBOOL(hAPP(X3,X2))|~c_Orderings_Oord__class_Oless__eq(tc_fun(X4,tc_HOL_Obool),X3,X1))). 341.39/43.39 cnf(i_0_749, plain, (c_Relation_Osingle__valued(X1,X2,X3)|c_member(tc_prod(X1,X2),c_Product__Type_OPair(X1,X2,esk78_3(X3,X2,X1),esk79_3(X3,X2,X1)),X3))). 341.39/43.39 cnf(i_0_748, plain, (c_Relation_Osingle__valued(X1,X2,X3)|c_member(tc_prod(X1,X2),c_Product__Type_OPair(X1,X2,esk78_3(X3,X2,X1),esk80_3(X3,X2,X1)),X3))). 341.39/43.39 cnf(i_0_784, plain, (c_Relation_Osingle__valued(X1,X2,X3)|c_member(tc_prod(X1,X2),c_Product__Type_OPair(X1,X2,esk84_3(X3,X2,X1),esk85_3(X3,X2,X1)),X3))). 341.39/43.39 cnf(i_0_783, plain, (c_Relation_Osingle__valued(X1,X2,X3)|c_member(tc_prod(X1,X2),c_Product__Type_OPair(X1,X2,esk84_3(X3,X2,X1),esk86_3(X3,X2,X1)),X3))). 341.39/43.39 cnf(i_0_184, plain, (c_Lattices_Osemilattice__sup__class_Osup(tc_fun(X1,tc_HOL_Obool),X2,X3)=X2|~c_Orderings_Oord__class_Oless__eq(tc_fun(X1,tc_HOL_Obool),X3,X2))). 341.39/43.39 cnf(i_0_609, plain, (c_Lattices_Osemilattice__sup__class_Osup(tc_fun(X1,tc_HOL_Obool),X2,X3)=X3|~c_Orderings_Oord__class_Oless__eq(tc_fun(X1,tc_HOL_Obool),X2,X3))). 341.39/43.39 cnf(i_0_646, plain, (c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(X1,tc_HOL_Obool),X2,X3)=X3|~c_Orderings_Oord__class_Oless__eq(tc_fun(X1,tc_HOL_Obool),X3,X2))). 341.39/43.39 cnf(i_0_516, plain, (c_Orderings_Oord__class_Oless__eq(X1,X2,X3)|~class_Lattices_Osemilattice__sup(X1)|~c_Orderings_Oord__class_Oless__eq(X1,c_Lattices_Osemilattice__sup__class_Osup(X1,X4,X2),X3))). 341.39/43.39 cnf(i_0_558, plain, (c_member(X1,X2,c_Relation_ORange(X3,X1,X4))|~c_member(tc_prod(X3,X1),c_Product__Type_OPair(X3,X1,X5,X2),X4))). 341.39/43.39 cnf(i_0_76, plain, (c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(X1,tc_HOL_Obool),X2,X3)=X2|~c_Orderings_Oord__class_Oless__eq(tc_fun(X1,tc_HOL_Obool),X2,X3))). 341.39/43.39 cnf(i_0_79, plain, (c_Groups_Ominus__class_Ominus(tc_fun(X1,tc_HOL_Obool),c_Set_Oinsert(X1,X2,X3),c_Set_Oinsert(X1,X2,c_Orderings_Obot__class_Obot(tc_fun(X1,tc_HOL_Obool))))=X3|c_member(X1,X2,X3))). 341.39/43.39 cnf(i_0_517, plain, (c_Orderings_Oord__class_Oless__eq(X1,X2,X3)|~class_Lattices_Osemilattice__sup(X1)|~c_Orderings_Oord__class_Oless__eq(X1,c_Lattices_Osemilattice__sup__class_Osup(X1,X2,X4),X3))). 341.39/43.39 cnf(i_0_354, plain, (X1=X2|c_Set_Oinsert(X3,X1,c_Orderings_Obot__class_Obot(tc_fun(X3,tc_HOL_Obool)))!=c_Set_Oinsert(X3,X2,c_Orderings_Obot__class_Obot(tc_fun(X3,tc_HOL_Obool))))). 341.39/43.39 cnf(i_0_613, plain, (c_member(X1,X2,c_Relation_ODomain(X1,X3,X4))|~c_member(tc_prod(X1,X3),c_Product__Type_OPair(X1,X3,X2,X5),X4))). 341.39/43.39 cnf(i_0_605, plain, (c_Wellfounded_Owf(X1,X2)|~c_Wellfounded_Owf(X1,X3)|~c_Orderings_Oord__class_Oless__eq(tc_fun(tc_prod(X1,X1),tc_HOL_Obool),X2,X3))). 341.39/43.39 cnf(i_0_763, plain, (c_Orderings_Oord__class_Oless__eq(X1,X2,X3)|~class_Orderings_Oorder(X1)|~c_Orderings_Oord__class_Oless__eq(X1,X2,X4)|~c_Orderings_Oord__class_Oless__eq(X1,X4,X3))). 341.39/43.39 cnf(i_0_707, plain, (hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(X1,X2),X3,X4),X5)=c_Lattices_Osemilattice__sup__class_Osup(X2,hAPP(X3,X5),hAPP(X4,X5))|~class_Lattices_Olattice(X2))). 341.39/43.39 cnf(i_0_20, plain, (c_Lattices_Osemilattice__inf__class_Oinf(X1,hAPP(X2,X3),hAPP(X4,X3))=hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(X5,X1),X2,X4),X3)|~class_Lattices_Olattice(X1))). 341.39/43.39 cnf(i_0_45, plain, (c_Groups_Ominus__class_Ominus(X1,hAPP(X2,X3),hAPP(X4,X3))=hAPP(c_Groups_Ominus__class_Ominus(tc_fun(X5,X1),X2,X4),X3)|~class_Groups_Ominus(X1))). 341.39/43.39 cnf(i_0_315, plain, (c_member(X1,X2,c_Groups_Ominus__class_Ominus(tc_fun(X1,tc_HOL_Obool),X3,X4))|c_member(X1,X2,X4)|~c_member(X1,X2,X3))). 341.39/43.39 cnf(i_0_659, plain, (c_Orderings_Oord__class_Oless__eq(tc_fun(X1,tc_HOL_Obool),X2,c_Set_Oinsert(X1,X3,X4))|~c_Orderings_Oord__class_Oless__eq(tc_fun(X1,tc_HOL_Obool),X2,X4))). 341.39/43.39 cnf(i_0_480, plain, (c_Relation_Otrans(tc_prod(X1,X2),c_Wellfounded_Olex__prod(X1,X2,X3,X4))|~c_Relation_Otrans(X2,X4)|~c_Relation_Otrans(X1,X3))). 341.39/43.39 cnf(i_0_730, plain, (c_Orderings_Oord__class_Oless__eq(tc_fun(X1,tc_HOL_Obool),X2,X3)|~c_Orderings_Oord__class_Oless__eq(tc_fun(X1,tc_HOL_Obool),c_Set_Oinsert(X1,X4,X2),X3))). 341.39/43.39 cnf(i_0_156, plain, (X1=X2|~c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,X3,X3),c_Arrow__Order__Mirabelle_Oabove(X4,X1,X2))|~c_member(tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool),X4,c_Arrow__Order__Mirabelle_OLin))). 341.39/43.39 cnf(i_0_57, plain, (X1=X2|c_member(tc_prod(X3,X3),c_Product__Type_OPair(X3,X3,X1,X2),c_Transitive__Closure_Otrancl(X3,X4))|~c_member(tc_prod(X3,X3),c_Product__Type_OPair(X3,X3,X1,X2),c_Transitive__Closure_Ortrancl(X3,X4)))). 341.39/43.39 cnf(i_0_453, plain, (c_Relation_Oantisym(X1,X2)|~c_Relation_Oantisym(X1,X3)|~c_Orderings_Oord__class_Oless__eq(tc_fun(tc_prod(X1,X1),tc_HOL_Obool),X2,X3))). 341.39/43.39 cnf(i_0_519, plain, (hAPP(hAPP(X1,c_Recdef_Ocut(X2,X3,c_Recdef_Owfrec(X2,X3,X4,X1),X4,X5)),X5)=hAPP(c_Recdef_Owfrec(X2,X3,X4,X1),X5)|~c_Wellfounded_Owf(X2,X4))). 341.39/43.39 cnf(i_0_444, plain, (c_Wellfounded_Owf(tc_prod(X1,X2),c_Wellfounded_Olex__prod(X1,X2,X3,X4))|~c_Wellfounded_Owf(X2,X4)|~c_Wellfounded_Owf(X1,X3))). 341.39/43.39 cnf(i_0_348, plain, (c_Lattices_Osemilattice__inf__class_Oinf(X1,c_Lattices_Osemilattice__sup__class_Osup(X1,X2,X3),c_Lattices_Osemilattice__sup__class_Osup(X1,X2,X4))=c_Lattices_Osemilattice__sup__class_Osup(X1,X2,c_Lattices_Osemilattice__inf__class_Oinf(X1,X3,X4))|~class_Lattices_Odistrib__lattice(X1))). 341.39/43.39 cnf(i_0_1, plain, (c_Lattices_Osemilattice__sup__class_Osup(X1,c_Lattices_Osemilattice__inf__class_Oinf(X1,X2,X3),c_Lattices_Osemilattice__inf__class_Oinf(X1,X4,X3))=c_Lattices_Osemilattice__inf__class_Oinf(X1,c_Lattices_Osemilattice__sup__class_Osup(X1,X2,X4),X3)|~class_Lattices_Odistrib__lattice(X1))). 341.39/43.39 cnf(i_0_713, plain, (c_Lattices_Osemilattice__sup__class_Osup(X1,c_Lattices_Osemilattice__inf__class_Oinf(X1,X2,X3),c_Lattices_Osemilattice__inf__class_Oinf(X1,X2,X4))=c_Lattices_Osemilattice__inf__class_Oinf(X1,X2,c_Lattices_Osemilattice__sup__class_Osup(X1,X3,X4))|~class_Lattices_Odistrib__lattice(X1))). 341.39/43.39 cnf(i_0_616, plain, (c_Lattices_Osemilattice__inf__class_Oinf(X1,c_Lattices_Osemilattice__sup__class_Osup(X1,X2,X3),c_Lattices_Osemilattice__sup__class_Osup(X1,X4,X3))=c_Lattices_Osemilattice__sup__class_Osup(X1,c_Lattices_Osemilattice__inf__class_Oinf(X1,X2,X4),X3)|~class_Lattices_Odistrib__lattice(X1))). 341.39/43.39 cnf(i_0_744, plain, (c_Relation_Otrans(X1,c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(tc_prod(X1,X1),tc_HOL_Obool),X2,X3))|~c_Relation_Otrans(X1,X3)|~c_Relation_Otrans(X1,X2))). 341.39/43.39 cnf(i_0_271, plain, (c_member(tc_prod(X1,X2),c_Product__Type_OPair(X1,X2,X3,X4),X5)|~c_FunDef_Oin__rel(X1,X2,X5,X3,X4))). 341.39/43.39 cnf(i_0_656, plain, (hBOOL(hAPP(X1,c_Product__Type_OPair(X2,X3,X4,X5)))|~hBOOL(hAPP(X1,esk71_3(X3,X2,X1))))). 341.39/43.39 cnf(i_0_290, plain, (X1=X2|~c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,X3,X3),c_Arrow__Order__Mirabelle_Obelow(X4,X1,X2))|~c_member(tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool),X4,c_Arrow__Order__Mirabelle_OLin))). 341.39/43.39 cnf(i_0_115, plain, (c_Orderings_Obot__class_Obot(tc_fun(X1,tc_HOL_Obool))=X2|~c_Wellfounded_Owf(X1,X3)|~c_Orderings_Oord__class_Oless__eq(tc_fun(X1,tc_HOL_Obool),X2,c_Relation_OImage(X1,X1,X3,X2)))). 341.39/43.39 cnf(i_0_531, plain, (c_Wellfounded_Oacyclic(X1,X2)|~c_Wellfounded_Oacyclic(X1,X3)|~c_Orderings_Oord__class_Oless__eq(tc_fun(tc_prod(X1,X1),tc_HOL_Obool),X2,X3))). 341.39/43.39 cnf(i_0_104, plain, (c_Orderings_Oord__class_Oless__eq(X1,X2,X3)|~class_Orderings_Opreorder(X1)|~c_Orderings_Oord__class_Oless__eq(X1,X4,X3)|~c_Orderings_Oord__class_Oless__eq(X1,X2,X4))). 341.39/43.39 cnf(i_0_496, plain, (c_Groups_Ominus__class_Ominus(tc_fun(X1,tc_HOL_Obool),c_Set_Oinsert(X1,X2,X3),X4)=c_Set_Oinsert(X1,X2,c_Groups_Ominus__class_Ominus(tc_fun(X1,tc_HOL_Obool),X3,X4))|c_member(X1,X2,X4))). 341.39/43.39 cnf(i_0_46, plain, (c_Orderings_Oord__class_Oless__eq(X1,c_Lattices_Osemilattice__sup__class_Osup(X1,X2,c_Lattices_Osemilattice__inf__class_Oinf(X1,X3,X4)),c_Lattices_Osemilattice__inf__class_Oinf(X1,c_Lattices_Osemilattice__sup__class_Osup(X1,X2,X3),c_Lattices_Osemilattice__sup__class_Osup(X1,X2,X4)))|~class_Lattices_Olattice(X1))). 341.39/43.39 cnf(i_0_617, plain, (c_Orderings_Oord__class_Oless__eq(X1,c_Lattices_Osemilattice__sup__class_Osup(X1,c_Lattices_Osemilattice__inf__class_Oinf(X1,X2,X3),c_Lattices_Osemilattice__inf__class_Oinf(X1,X2,X4)),c_Lattices_Osemilattice__inf__class_Oinf(X1,X2,c_Lattices_Osemilattice__sup__class_Osup(X1,X3,X4)))|~class_Lattices_Olattice(X1))). 341.39/43.39 cnf(i_0_587, plain, (c_Wellfounded_Owf(X1,X2)|~c_Wellfounded_Owf(X1,c_Set_Oinsert(tc_prod(X1,X1),c_Product__Type_OPair(X1,X1,X3,X4),X2)))). 341.39/43.39 cnf(i_0_340, plain, (c_Wellfounded_Oacyclic(X1,X2)|~c_Wellfounded_Oacyclic(X1,c_Set_Oinsert(tc_prod(X1,X1),c_Product__Type_OPair(X1,X1,X3,X4),X2)))). 341.39/43.39 cnf(i_0_362, plain, (c_Orderings_Oord__class_Oless__eq(X1,X2,X3)|c_Groups_Ominus__class_Ominus(X1,X4,X5)!=c_Groups_Ominus__class_Ominus(X1,X2,X3)|~class_Groups_Oordered__ab__group__add(X1)|~c_Orderings_Oord__class_Oless__eq(X1,X4,X5))). 341.39/43.39 cnf(i_0_222, plain, (c_member(X1,esk21_3(X2,X3,X1),X2)|~c_member(tc_prod(X1,X1),X3,c_Relation_OId__on(X1,X2)))). 341.39/43.39 cnf(i_0_347, plain, (c_member(tc_prod(X1,X2),c_Product__Type_OPair(X1,X2,X3,esk36_4(X4,X2,X3,X1)),X4)|~c_member(X1,X3,c_Relation_ODomain(X1,X2,X4)))). 341.39/43.39 cnf(i_0_97, plain, (hBOOL(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(X1,tc_HOL_Obool),X2,X3),X4))|~hBOOL(hAPP(X3,X4))|~hBOOL(hAPP(X2,X4)))). 341.39/43.39 cnf(i_0_117, plain, (c_Orderings_Oord__class_Oless__eq(X1,hAPP(X2,X3),hAPP(X4,X3))|~class_Orderings_Oord(X1)|~c_Orderings_Oord__class_Oless__eq(tc_fun(X5,X1),X2,X4))). 341.39/43.39 cnf(i_0_318, plain, (c_Relation_Otrans(X1,c_Lattices_Osemilattice__sup__class_Osup(tc_fun(tc_prod(X1,X1),tc_HOL_Obool),X2,c_Transitive__Closure_Ortrancl(X1,c_Orderings_Obot__class_Obot(tc_fun(tc_prod(X1,X1),tc_HOL_Obool)))))|~c_Relation_Otrans(X1,X2))). 341.39/43.39 cnf(i_0_134, plain, (c_Relation_Oantisym(X1,c_Lattices_Osemilattice__sup__class_Osup(tc_fun(tc_prod(X1,X1),tc_HOL_Obool),X2,c_Transitive__Closure_Ortrancl(X1,c_Orderings_Obot__class_Obot(tc_fun(tc_prod(X1,X1),tc_HOL_Obool)))))|~c_Relation_Oantisym(X1,X2))). 341.39/43.39 cnf(i_0_13, plain, (c_Groups_Ominus__class_Ominus(tc_fun(X1,tc_HOL_Obool),c_Set_Oinsert(X1,X2,X3),X4)=c_Groups_Ominus__class_Ominus(tc_fun(X1,tc_HOL_Obool),X3,X4)|~c_member(X1,X2,X4))). 341.39/43.39 cnf(i_0_573, plain, (c_Orderings_Oord__class_Oless__eq(tc_fun(X1,tc_HOL_Obool),c_Set_Oinsert(X1,X2,X3),c_Set_Oinsert(X1,X2,X4))|~c_Orderings_Oord__class_Oless__eq(tc_fun(X1,tc_HOL_Obool),X3,X4))). 341.39/43.39 cnf(i_0_735, plain, (hBOOL(hAPP(X1,X2))|hBOOL(hAPP(X3,X2))|~hBOOL(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(X4,tc_HOL_Obool),X1,X3),X2)))). 341.39/43.39 cnf(i_0_171, plain, (c_Relation_Otrans(X1,X2)|~c_member(tc_prod(X1,X1),c_Product__Type_OPair(X1,X1,esk12_2(X2,X1),esk14_2(X2,X1)),X2))). 341.39/43.39 cnf(i_0_612, plain, (c_member(tc_prod(X1,X2),c_Product__Type_OPair(X1,X2,X3,esk62_4(X4,X2,X3,X1)),X4)|~c_member(X1,X3,c_Relation_ODomain(X1,X2,X4)))). 341.39/43.39 cnf(i_0_614, plain, (c_member(tc_prod(X1,X2),c_Product__Type_OPair(X1,X2,esk63_4(X3,X1,X4,X2),X4),X3)|~c_member(X2,X4,c_Relation_ORange(X1,X2,X3)))). 341.39/43.39 cnf(i_0_379, plain, (c_member(X1,X2,X3)|~c_member(X1,X2,X4)|~c_Orderings_Oord__class_Oless__eq(tc_fun(X1,tc_HOL_Obool),X4,X3))). 341.39/43.39 cnf(i_0_278, plain, (hBOOL(hAPP(X1,esk31_4(X1,X2,X3,X4)))|~hBOOL(hAPP(X1,X5))|~c_member(X4,X5,X3))). 341.39/43.39 cnf(i_0_280, plain, (hBOOL(hAPP(X1,esk31_4(X1,X2,X3,X4)))|~hBOOL(hAPP(X1,X5))|~c_member(X4,X5,X2))). 341.39/43.39 cnf(i_0_463, plain, (c_Relation_Otrans(X1,X2)|~c_member(tc_prod(X1,X1),c_Product__Type_OPair(X1,X1,esk48_2(X2,X1),esk50_2(X2,X1)),X2))). 341.39/43.39 cnf(i_0_429, plain, (c_Nitpick_Orefl_H(X1,X2)|~c_member(tc_prod(X1,X1),c_Product__Type_OPair(X1,X1,esk47_2(X2,X1),esk47_2(X2,X1)),X2))). 341.39/43.39 cnf(i_0_112, plain, (c_Orderings_Oord__class_Oless__eq(tc_fun(X1,tc_HOL_Obool),X2,X3)|c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(X1,tc_HOL_Obool),X3,c_Lattices_Osemilattice__sup__class_Osup(tc_fun(X1,tc_HOL_Obool),X4,X2))!=c_Lattices_Osemilattice__sup__class_Osup(tc_fun(X1,tc_HOL_Obool),c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(X1,tc_HOL_Obool),X3,X4),X2))). 341.39/43.39 cnf(i_0_777, plain, (c_member(tc_prod(X1,X2),c_Product__Type_OPair(X1,X2,esk83_4(X3,X1,X4,X2),X4),X3)|~c_member(X2,X4,c_Relation_ORange(X1,X2,X3)))). 341.39/43.39 cnf(i_0_590, plain, (c_member(X1,X2,c_Wellfounded_Oacc(X1,X3))|~c_member(tc_prod(X1,X1),c_Product__Type_OPair(X1,X1,X2,X4),c_Transitive__Closure_Ortrancl(X1,X3))|~c_member(X1,X4,c_Wellfounded_Oacc(X1,X3)))). 341.39/43.39 cnf(i_0_15, plain, (c_Groups_Ominus__class_Ominus(tc_fun(X1,tc_HOL_Obool),X2,X3)=X2|c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(X1,tc_HOL_Obool),X2,X3)!=c_Orderings_Obot__class_Obot(tc_fun(X1,tc_HOL_Obool)))). 341.39/43.39 cnf(i_0_269, plain, (c_Orderings_Oord__class_Oless__eq(tc_fun(X1,tc_HOL_Obool),X2,X3)|~c_Orderings_Oord__class_Oless__eq(tc_fun(X1,tc_HOL_Obool),X4,X3)|~c_Orderings_Oord__class_Oless__eq(tc_fun(X1,tc_HOL_Obool),X2,X4))). 341.39/43.39 cnf(i_0_505, plain, (hBOOL(hAPP(X1,X2))|c_member(X3,esk54_4(X1,X4,X5,X3),c_Lattices_Osemilattice__sup__class_Osup(tc_fun(X3,tc_HOL_Obool),X5,X4))|~c_member(X3,X2,X5))). 341.39/43.39 cnf(i_0_504, plain, (hBOOL(hAPP(X1,X2))|c_member(X3,esk54_4(X1,X4,X5,X3),c_Lattices_Osemilattice__sup__class_Osup(tc_fun(X3,tc_HOL_Obool),X5,X4))|~c_member(X3,X2,X4))). 341.39/43.39 cnf(i_0_179, plain, (c_Wellfounded_Owf(X1,c_Groups_Ominus__class_Ominus(tc_fun(tc_prod(X1,X1),tc_HOL_Obool),X2,c_Transitive__Closure_Ortrancl(X1,c_Orderings_Obot__class_Obot(tc_fun(tc_prod(X1,X1),tc_HOL_Obool)))))|~c_Order__Relation_Owell__order__on(X1,X3,X2))). 341.39/43.39 cnf(i_0_135, plain, (c_Relation_Oantisym(X1,X2)|~c_Relation_Oantisym(X1,c_Lattices_Osemilattice__sup__class_Osup(tc_fun(tc_prod(X1,X1),tc_HOL_Obool),X2,c_Transitive__Closure_Ortrancl(X1,c_Orderings_Obot__class_Obot(tc_fun(tc_prod(X1,X1),tc_HOL_Obool))))))). 341.39/43.39 cnf(i_0_260, plain, (c_Transitive__Closure_Ortrancl(X1,X2)=c_Transitive__Closure_Ortrancl(X1,X3)|~c_Orderings_Oord__class_Oless__eq(tc_fun(tc_prod(X1,X1),tc_HOL_Obool),X3,c_Transitive__Closure_Ortrancl(X1,X2))|~c_Orderings_Oord__class_Oless__eq(tc_fun(tc_prod(X1,X1),tc_HOL_Obool),X2,X3))). 341.39/43.39 cnf(i_0_513, plain, (X1=X2|~c_member(tc_prod(X3,X3),c_Product__Type_OPair(X3,X3,X1,X2),c_Transitive__Closure_Ortrancl(X3,c_Orderings_Obot__class_Obot(tc_fun(tc_prod(X3,X3),tc_HOL_Obool)))))). 341.39/43.39 cnf(i_0_275, plain, (hAPP(hAPP(X1,esk27_6(X2,X3,X1,X4,X5,X6)),X3)=hAPP(hAPP(X1,X2),X3)|~c_Recdef_Owfrec__rel(X6,X5,X4,X1,X3,hAPP(hAPP(X1,X2),X3)))). 341.39/43.39 cnf(i_0_418, plain, (X1=X2|c_member(tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool),c_Arrow__Order__Mirabelle_Oabove(X3,X1,X2),c_Arrow__Order__Mirabelle_OLin)|~c_member(tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool),X3,c_Arrow__Order__Mirabelle_OLin))). 341.39/43.39 cnf(i_0_557, plain, (c_Orderings_Oord__class_Oless__eq(tc_fun(X1,tc_HOL_Obool),c_Wellfounded_Oacc(X1,X2),c_Wellfounded_Oacc(X1,X3))|~c_Orderings_Oord__class_Oless__eq(tc_fun(tc_prod(X1,X1),tc_HOL_Obool),X3,X2))). 341.39/43.39 cnf(i_0_231, plain, (c_member(X1,X2,c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(X1,tc_HOL_Obool),X3,X4))|~c_member(X1,X2,X4)|~c_member(X1,X2,X3))). 341.39/43.39 cnf(i_0_373, plain, (c_member(X1,esk39_5(X2,X3,X1,X4,X5),X2)|~c_member(X5,X4,c_Relation_OImage(X1,X5,X3,X2)))). 341.39/43.39 cnf(i_0_416, plain, (c_member(X1,esk45_5(X2,X3,X1,X4,X5),X2)|~c_member(X5,X4,c_Relation_OImage(X1,X5,X3,X2)))). 341.39/43.39 cnf(i_0_405, plain, (c_Order__Relation_Ostrict__linear__order__on(X1,X2,c_Groups_Ominus__class_Ominus(tc_fun(tc_prod(X1,X1),tc_HOL_Obool),X3,c_Transitive__Closure_Ortrancl(X1,c_Orderings_Obot__class_Obot(tc_fun(tc_prod(X1,X1),tc_HOL_Obool)))))|~c_Order__Relation_Olinear__order__on(X1,X2,X3))). 341.39/43.39 cnf(i_0_214, plain, (c_Relation_Ototal__on(X1,X2,c_Groups_Ominus__class_Ominus(tc_fun(tc_prod(X1,X1),tc_HOL_Obool),X3,c_Transitive__Closure_Ortrancl(X1,c_Orderings_Obot__class_Obot(tc_fun(tc_prod(X1,X1),tc_HOL_Obool)))))|~c_Relation_Ototal__on(X1,X2,X3))). 341.39/43.39 cnf(i_0_388, plain, (c_member(tc_prod(X1,X1),c_Product__Type_OPair(X1,X1,X2,X2),X3)|~c_member(X1,X2,X4)|~c_Relation_Orefl__on(X1,X4,X3))). 341.39/43.39 cnf(i_0_235, plain, (c_member(X1,X2,X3)|c_member(X1,X2,X4)|~c_member(X1,X2,c_Lattices_Osemilattice__sup__class_Osup(tc_fun(X1,tc_HOL_Obool),X3,X4)))). 341.39/43.39 cnf(i_0_687, plain, (c_member(X1,X2,X3)|c_Orderings_Oord__class_Oless__eq(tc_fun(X1,tc_HOL_Obool),X3,X4)|~c_Orderings_Oord__class_Oless__eq(tc_fun(X1,tc_HOL_Obool),X3,c_Set_Oinsert(X1,X2,X4)))). 341.39/43.39 cnf(i_0_221, plain, (c_Product__Type_OPair(X1,X1,esk21_3(X2,X3,X1),esk21_3(X2,X3,X1))=X3|~c_member(tc_prod(X1,X1),X3,c_Relation_OId__on(X1,X2)))). 341.39/43.39 cnf(i_0_189, plain, (hAPP(c_Recdef_Ocut(X1,X2,X3,X4,X5),X6)=hAPP(X3,X6)|~c_member(tc_prod(X1,X1),c_Product__Type_OPair(X1,X1,X6,X5),X4))). 341.39/43.39 cnf(i_0_226, plain, (X1=X2|c_member(tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool),c_Arrow__Order__Mirabelle_Obelow(X3,X1,X2),c_Arrow__Order__Mirabelle_OLin)|~c_member(tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool),X3,c_Arrow__Order__Mirabelle_OLin))). 341.39/43.39 cnf(i_0_27, plain, (c_Orderings_Oord__class_Oless__eq(X1,X2,c_Lattices_Osemilattice__inf__class_Oinf(X1,X3,X4))|~c_Orderings_Oord__class_Oless__eq(X1,X2,X4)|~c_Orderings_Oord__class_Oless__eq(X1,X2,X3)|~class_Lattices_Osemilattice__inf(X1))). 341.39/43.39 cnf(i_0_272, plain, (c_FunDef_Oin__rel(X1,X2,X3,X4,X5)|~c_member(tc_prod(X1,X2),c_Product__Type_OPair(X1,X2,X4,X5),X3))). 341.39/43.39 cnf(i_0_213, plain, (c_Relation_Ototal__on(X1,X2,X3)|~c_Relation_Ototal__on(X1,X2,c_Groups_Ominus__class_Ominus(tc_fun(tc_prod(X1,X1),tc_HOL_Obool),X3,c_Transitive__Closure_Ortrancl(X1,c_Orderings_Obot__class_Obot(tc_fun(tc_prod(X1,X1),tc_HOL_Obool))))))). 341.39/43.39 cnf(i_0_147, plain, (c_Relation_Ototal__on(X1,X2,X3)|~c_member(tc_prod(X1,X1),c_Product__Type_OPair(X1,X1,esk10_3(X3,X2,X1),esk11_3(X3,X2,X1)),X3))). 341.39/43.39 cnf(i_0_228, plain, (c_member(tc_prod(X1,X1),c_Product__Type_OPair(X1,X1,X2,esk22_4(X3,X4,X2,X1)),X3)|~c_member(tc_prod(X1,X1),c_Product__Type_OPair(X1,X1,X2,X4),c_Transitive__Closure_Otrancl(X1,X3)))). 341.39/43.39 cnf(i_0_503, plain, (hBOOL(hAPP(X1,X2))|~hBOOL(hAPP(X1,esk54_4(X1,X3,X4,X5)))|~c_member(X5,X2,X4))). 341.39/43.39 cnf(i_0_376, plain, (c_Recdef_Owfrec__rel(X1,X2,X3,X4,X5,hAPP(hAPP(X4,X6),X5))|c_member(tc_prod(X1,X1),c_Product__Type_OPair(X1,X1,esk40_6(X6,X4,X2,X3,X5,X1),X5),X3))). 341.39/43.39 cnf(i_0_265, plain, (c_Set_Oinsert(X1,X2,c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(X1,tc_HOL_Obool),X3,X4))=c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(X1,tc_HOL_Obool),c_Set_Oinsert(X1,X2,X3),X4)|~c_member(X1,X2,X4))). 341.39/43.39 cnf(i_0_537, plain, (c_Set_Oinsert(X1,X2,c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(X1,tc_HOL_Obool),X3,X4))=c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(X1,tc_HOL_Obool),X3,c_Set_Oinsert(X1,X2,X4))|~c_member(X1,X2,X3))). 341.39/43.39 cnf(i_0_544, plain, (c_Wellfounded_Owf(tc_prod(X1,X2),c_Recdef_Osame__fst(X1,X2,X3,X4))|~c_Wellfounded_Owf(X2,hAPP(X4,esk59_4(X1,X4,X2,X3))))). 341.39/43.39 cnf(i_0_148, plain, (c_Relation_Ototal__on(X1,X2,X3)|~c_member(tc_prod(X1,X1),c_Product__Type_OPair(X1,X1,esk11_3(X3,X2,X1),esk10_3(X3,X2,X1)),X3))). 341.39/43.39 cnf(i_0_52, plain, (c_Orderings_Oord__class_Oless__eq(tc_fun(X1,tc_HOL_Obool),X2,c_Lattices_Osemilattice__sup__class_Osup(tc_fun(X1,tc_HOL_Obool),X3,X4))|~c_Orderings_Oord__class_Oless__eq(tc_fun(X1,tc_HOL_Obool),c_Groups_Ominus__class_Ominus(tc_fun(X1,tc_HOL_Obool),X2,X3),X4))). 341.39/43.39 cnf(i_0_116, plain, (c_Orderings_Oord__class_Oless__eq(tc_fun(X1,X2),X3,X4)|~class_Orderings_Oord(X2)|~c_Orderings_Oord__class_Oless__eq(X2,hAPP(X3,esk9_4(X4,X3,X1,X2)),hAPP(X4,esk9_4(X4,X3,X1,X2))))). 341.39/43.39 cnf(i_0_103, plain, (c_member(tc_prod(X1,X1),c_Product__Type_OPair(X1,X1,esk8_4(X2,X3,X4,X1),X3),X2)|~c_member(tc_prod(X1,X1),c_Product__Type_OPair(X1,X1,X4,X3),c_Transitive__Closure_Otrancl(X1,X2)))). 341.39/43.39 cnf(i_0_372, plain, (c_member(tc_prod(X1,X2),c_Product__Type_OPair(X1,X2,esk39_5(X3,X4,X1,X5,X2),X5),X4)|~c_member(X2,X5,c_Relation_OImage(X1,X2,X4,X3)))). 341.39/43.39 cnf(i_0_502, plain, (hBOOL(hAPP(X1,X2))|~hBOOL(hAPP(X1,esk54_4(X1,X3,X4,X5)))|~c_member(X5,X2,X3))). 341.39/43.39 cnf(i_0_515, plain, (c_Orderings_Oord__class_Oless__eq(X1,c_Lattices_Osemilattice__sup__class_Osup(X1,X2,X3),X4)|~class_Lattices_Osemilattice__sup(X1)|~c_Orderings_Oord__class_Oless__eq(X1,X3,X4)|~c_Orderings_Oord__class_Oless__eq(X1,X2,X4))). 341.39/43.39 cnf(i_0_567, plain, (X1=X2|X2=X3|c_Set_Oinsert(X4,X3,c_Set_Oinsert(X4,X1,c_Orderings_Obot__class_Obot(tc_fun(X4,tc_HOL_Obool))))!=c_Set_Oinsert(X4,X5,c_Set_Oinsert(X4,X2,c_Orderings_Obot__class_Obot(tc_fun(X4,tc_HOL_Obool)))))). 341.39/43.39 cnf(i_0_566, plain, (X1=X2|X2=X3|c_Set_Oinsert(X4,X1,c_Set_Oinsert(X4,X3,c_Orderings_Obot__class_Obot(tc_fun(X4,tc_HOL_Obool))))!=c_Set_Oinsert(X4,X2,c_Set_Oinsert(X4,X5,c_Orderings_Obot__class_Obot(tc_fun(X4,tc_HOL_Obool)))))). 341.39/43.39 cnf(i_0_417, plain, (c_member(tc_prod(X1,X2),c_Product__Type_OPair(X1,X2,esk45_5(X3,X4,X1,X5,X2),X5),X4)|~c_member(X2,X5,c_Relation_OImage(X1,X2,X4,X3)))). 341.39/43.39 cnf(i_0_25, plain, (X1=X2|c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,X1,X2),X3)|c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,X2,X1),X3)|~c_member(tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool),X3,c_Arrow__Order__Mirabelle_OLin))). 341.39/43.39 cnf(i_0_14, plain, (c_Relation_Osingle__valued(X1,X2,X3)|~c_Relation_Osingle__valued(X1,X2,X4)|~c_Orderings_Oord__class_Oless__eq(tc_fun(tc_prod(X1,X2),tc_HOL_Obool),X3,X4))). 341.39/43.39 cnf(i_0_395, plain, (c_Orderings_Oord__class_Oless__eq(tc_fun(tc_prod(X1,X1),tc_HOL_Obool),c_Transitive__Closure_Ortrancl(X1,X2),c_Transitive__Closure_Ortrancl(X1,X3))|~c_Orderings_Oord__class_Oless__eq(tc_fun(tc_prod(X1,X1),tc_HOL_Obool),X2,X3))). 341.39/43.39 cnf(i_0_243, plain, (c_Set_Oinsert(X1,X2,c_Orderings_Obot__class_Obot(tc_fun(X1,tc_HOL_Obool)))=X3|X3=c_Orderings_Obot__class_Obot(tc_fun(X1,tc_HOL_Obool))|~c_Orderings_Oord__class_Oless__eq(tc_fun(X1,tc_HOL_Obool),X3,c_Set_Oinsert(X1,X2,c_Orderings_Obot__class_Obot(tc_fun(X1,tc_HOL_Obool)))))). 341.39/43.39 cnf(i_0_760, plain, (X1=X2|c_member(tc_prod(X3,X3),c_Product__Type_OPair(X3,X3,X1,esk81_4(X4,X2,X1,X3)),X4)|~c_member(tc_prod(X3,X3),c_Product__Type_OPair(X3,X3,X1,X2),c_Transitive__Closure_Ortrancl(X3,X4)))). 341.39/43.39 cnf(i_0_722, plain, (X1=X2|c_member(tc_prod(X3,X3),c_Product__Type_OPair(X3,X3,esk72_4(X4,X1,X2,X3),X1),X4)|~c_member(tc_prod(X3,X3),c_Product__Type_OPair(X3,X3,X2,X1),c_Transitive__Closure_Ortrancl(X3,X4)))). 341.39/43.39 cnf(i_0_291, plain, (X1=X2|c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,X3,X2),X4)|~c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,X3,X1),c_Arrow__Order__Mirabelle_Obelow(X4,X1,X2))|~c_member(tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool),X4,c_Arrow__Order__Mirabelle_OLin))). 341.39/43.39 cnf(i_0_342, plain, (c_Orderings_Oord__class_Oless__eq(tc_fun(X1,tc_HOL_Obool),c_Relation_ODomain(X1,X2,X3),c_Relation_ODomain(X1,X2,X4))|~c_Orderings_Oord__class_Oless__eq(tc_fun(tc_prod(X1,X2),tc_HOL_Obool),X3,X4))). 341.39/43.39 cnf(i_0_479, plain, (c_Recdef_Ocut(X1,X2,X3,X4,X5)=c_Recdef_Ocut(X1,X2,X6,X4,X5)|c_member(tc_prod(X1,X1),c_Product__Type_OPair(X1,X1,esk51_6(X3,X5,X4,X6,X2,X1),X5),X4))). 341.39/43.39 cnf(i_0_19, plain, (c_Relation_Otrans(X1,c_Groups_Ominus__class_Ominus(tc_fun(tc_prod(X1,X1),tc_HOL_Obool),X2,c_Transitive__Closure_Ortrancl(X1,c_Orderings_Obot__class_Obot(tc_fun(tc_prod(X1,X1),tc_HOL_Obool)))))|~c_Relation_Oantisym(X1,X2)|~c_Relation_Otrans(X1,X2))). 341.39/43.39 cnf(i_0_279, plain, (c_member(X1,esk31_4(X2,X3,X4,X1),c_Lattices_Osemilattice__sup__class_Osup(tc_fun(X1,tc_HOL_Obool),X4,X3))|~hBOOL(hAPP(X2,X5))|~c_member(X1,X5,X4))). 341.39/43.39 cnf(i_0_281, plain, (c_member(X1,esk31_4(X2,X3,X4,X1),c_Lattices_Osemilattice__sup__class_Osup(tc_fun(X1,tc_HOL_Obool),X4,X3))|~hBOOL(hAPP(X2,X5))|~c_member(X1,X5,X3))). 341.39/43.39 cnf(i_0_729, plain, (c_Orderings_Oord__class_Oless__eq(tc_fun(X1,tc_HOL_Obool),c_Set_Oinsert(X1,X2,X3),X4)|~c_member(X1,X2,X4)|~c_Orderings_Oord__class_Oless__eq(tc_fun(X1,tc_HOL_Obool),X3,X4))). 341.39/43.39 cnf(i_0_153, plain, (X1=X2|c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,X2,X3),X4)|~c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,X1,X3),c_Arrow__Order__Mirabelle_Oabove(X4,X2,X1))|~c_member(tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool),X4,c_Arrow__Order__Mirabelle_OLin))). 341.39/43.39 cnf(i_0_487, plain, (c_Orderings_Oord__class_Oless__eq(tc_fun(X1,tc_HOL_Obool),X2,c_Set_Oinsert(X1,X3,X4))|~c_member(X1,X3,X2)|~c_Orderings_Oord__class_Oless__eq(tc_fun(X1,tc_HOL_Obool),c_Groups_Ominus__class_Ominus(tc_fun(X1,tc_HOL_Obool),X2,c_Set_Oinsert(X1,X3,c_Orderings_Obot__class_Obot(tc_fun(X1,tc_HOL_Obool)))),X4))). 341.39/43.39 cnf(i_0_606, plain, (c_member(X1,X2,X3)|~c_member(tc_prod(X1,X1),c_Product__Type_OPair(X1,X1,X4,X2),X5)|~c_Relation_Orefl__on(X1,X3,X5))). 341.39/43.39 cnf(i_0_386, plain, (c_member(X1,X2,X3)|~c_member(tc_prod(X1,X1),c_Product__Type_OPair(X1,X1,X2,X4),X5)|~c_Relation_Orefl__on(X1,X3,X5))). 341.39/43.39 cnf(i_0_664, plain, (c_member(X1,X2,X3)|~c_Equiv__Relations_Oequiv(X1,X3,X4)|~c_member(tc_prod(X1,X1),c_Product__Type_OPair(X1,X1,X5,X2),X4))). 341.39/43.39 cnf(i_0_121, plain, (c_Orderings_Oord__class_Oless__eq(tc_fun(tc_prod(X1,X1),tc_HOL_Obool),c_Transitive__Closure_Ortrancl(X1,X2),c_Transitive__Closure_Ortrancl(X1,X3))|~c_Orderings_Oord__class_Oless__eq(tc_fun(tc_prod(X1,X1),tc_HOL_Obool),X2,c_Transitive__Closure_Ortrancl(X1,X3)))). 341.39/43.39 cnf(i_0_709, plain, (c_Relation_OImage(X1,X1,c_Transitive__Closure_Ortrancl(X1,X2),X3)=X3|~c_Orderings_Oord__class_Oless__eq(tc_fun(X1,tc_HOL_Obool),c_Relation_OImage(X1,X1,X2,X3),X3))). 341.39/43.39 cnf(i_0_588, plain, (c_Wellfounded_Owf(X1,c_Set_Oinsert(tc_prod(X1,X1),c_Product__Type_OPair(X1,X1,X2,X3),X4))|c_member(tc_prod(X1,X1),c_Product__Type_OPair(X1,X1,X3,X2),c_Transitive__Closure_Ortrancl(X1,X4))|~c_Wellfounded_Owf(X1,X4))). 341.39/43.39 cnf(i_0_338, plain, (c_Wellfounded_Oacyclic(X1,c_Set_Oinsert(tc_prod(X1,X1),c_Product__Type_OPair(X1,X1,X2,X3),X4))|c_member(tc_prod(X1,X1),c_Product__Type_OPair(X1,X1,X3,X2),c_Transitive__Closure_Ortrancl(X1,X4))|~c_Wellfounded_Oacyclic(X1,X4))). 341.39/43.39 cnf(i_0_345, plain, (c_member(X1,X2,c_Relation_OImage(X1,X1,X3,c_Set_Oinsert(X1,X2,c_Orderings_Obot__class_Obot(tc_fun(X1,tc_HOL_Obool)))))|~c_Equiv__Relations_Oequiv(X1,X4,X3)|~c_member(X1,X2,X4))). 341.39/43.39 cnf(i_0_343, plain, (c_Orderings_Oord__class_Oless__eq(X1,c_Lattices_Osemilattice__sup__class_Osup(X1,X2,X3),c_Lattices_Osemilattice__sup__class_Osup(X1,X4,X5))|~class_Lattices_Osemilattice__sup(X1)|~c_Orderings_Oord__class_Oless__eq(X1,X3,X5)|~c_Orderings_Oord__class_Oless__eq(X1,X2,X4))). 341.39/43.39 cnf(i_0_493, plain, (c_Orderings_Oord__class_Oless__eq(X1,c_Lattices_Osemilattice__inf__class_Oinf(X1,X2,X3),c_Lattices_Osemilattice__inf__class_Oinf(X1,X4,X5))|~c_Orderings_Oord__class_Oless__eq(X1,X3,X5)|~c_Orderings_Oord__class_Oless__eq(X1,X2,X4)|~class_Lattices_Osemilattice__inf(X1))). 341.39/43.39 cnf(i_0_543, plain, (c_member(tc_prod(X1,X1),X2,c_Transitive__Closure_Ortrancl(X1,c_Lattices_Osemilattice__sup__class_Osup(tc_fun(tc_prod(X1,X1),tc_HOL_Obool),X3,X4)))|~c_member(tc_prod(X1,X1),X2,c_Transitive__Closure_Ortrancl(X1,X4)))). 341.39/43.39 cnf(i_0_542, plain, (c_member(tc_prod(X1,X1),X2,c_Transitive__Closure_Ortrancl(X1,c_Lattices_Osemilattice__sup__class_Osup(tc_fun(tc_prod(X1,X1),tc_HOL_Obool),X3,X4)))|~c_member(tc_prod(X1,X1),X2,c_Transitive__Closure_Ortrancl(X1,X3)))). 341.39/43.39 cnf(i_0_638, plain, (hBOOL(hAPP(X1,X2))|~hBOOL(hAPP(X1,esk65_5(X1,X3,X4,X2,X5)))|~hBOOL(hAPP(X1,X4))|~c_member(tc_prod(X5,X5),c_Product__Type_OPair(X5,X5,X2,X4),c_Transitive__Closure_Ortrancl(X5,X3)))). 341.39/43.39 cnf(i_0_786, plain, (hBOOL(hAPP(X1,X2))|~hBOOL(hAPP(X1,esk88_5(X1,X3,X2,X4,X5)))|~hBOOL(hAPP(X1,X4))|~c_member(tc_prod(X5,X5),c_Product__Type_OPair(X5,X5,X4,X2),c_Transitive__Closure_Ortrancl(X5,X3)))). 341.39/43.39 cnf(i_0_663, plain, (c_member(X1,X2,X3)|~c_Equiv__Relations_Oequiv(X1,X3,X4)|~c_member(tc_prod(X1,X1),c_Product__Type_OPair(X1,X1,X2,X5),X4))). 341.39/43.39 cnf(i_0_657, plain, (hBOOL(hAPP(X1,X2))|~hBOOL(hAPP(X1,c_Product__Type_OPair(X3,X4,esk69_3(X4,X3,X1),esk70_3(X4,X3,X1)))))). 341.39/43.39 cnf(i_0_672, plain, (c_Orderings_Oord__class_Oless__eq(tc_fun(X1,tc_HOL_Obool),X2,c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(X1,tc_HOL_Obool),X3,X4))|~c_Orderings_Oord__class_Oless__eq(tc_fun(X1,tc_HOL_Obool),X2,X4)|~c_Orderings_Oord__class_Oless__eq(tc_fun(X1,tc_HOL_Obool),X2,X3))). 341.39/43.39 cnf(i_0_367, plain, (c_Relation_Orefl__on(X1,c_Lattices_Osemilattice__sup__class_Osup(tc_fun(X1,tc_HOL_Obool),X2,X3),c_Lattices_Osemilattice__sup__class_Osup(tc_fun(tc_prod(X1,X1),tc_HOL_Obool),X4,X5))|~c_Relation_Orefl__on(X1,X3,X5)|~c_Relation_Orefl__on(X1,X2,X4))). 341.39/43.39 cnf(i_0_728, plain, (c_Relation_Orefl__on(X1,c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(X1,tc_HOL_Obool),X2,X3),c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(tc_prod(X1,X1),tc_HOL_Obool),X4,X5))|~c_Relation_Orefl__on(X1,X3,X5)|~c_Relation_Orefl__on(X1,X2,X4))). 341.39/43.39 cnf(i_0_51, plain, (c_Orderings_Oord__class_Oless__eq(tc_fun(X1,tc_HOL_Obool),c_Groups_Ominus__class_Ominus(tc_fun(X1,tc_HOL_Obool),X2,X3),X4)|~c_Orderings_Oord__class_Oless__eq(tc_fun(X1,tc_HOL_Obool),X2,c_Lattices_Osemilattice__sup__class_Osup(tc_fun(X1,tc_HOL_Obool),X3,X4)))). 341.39/43.39 cnf(i_0_66, plain, (c_member(X1,X2,c_Relation_OImage(X3,X1,X4,c_Set_Oinsert(X3,X5,c_Orderings_Obot__class_Obot(tc_fun(X3,tc_HOL_Obool)))))|~c_member(tc_prod(X3,X1),c_Product__Type_OPair(X3,X1,X5,X2),X4))). 341.39/43.39 cnf(i_0_113, plain, (c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(X1,tc_HOL_Obool),X2,c_Lattices_Osemilattice__sup__class_Osup(tc_fun(X1,tc_HOL_Obool),X3,X4))=c_Lattices_Osemilattice__sup__class_Osup(tc_fun(X1,tc_HOL_Obool),c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(X1,tc_HOL_Obool),X2,X3),X4)|~c_Orderings_Oord__class_Oless__eq(tc_fun(X1,tc_HOL_Obool),X4,X2))). 341.39/43.39 cnf(i_0_635, plain, (c_Orderings_Oord__class_Oless__eq(tc_fun(X1,tc_HOL_Obool),c_Lattices_Osemilattice__sup__class_Osup(tc_fun(X1,tc_HOL_Obool),X2,X3),X4)|~c_Orderings_Oord__class_Oless__eq(tc_fun(X1,tc_HOL_Obool),X3,X4)|~c_Orderings_Oord__class_Oless__eq(tc_fun(X1,tc_HOL_Obool),X2,X4))). 341.39/43.39 cnf(i_0_473, plain, (X1=X2|~c_Relation_Oantisym(X3,X4)|~c_member(tc_prod(X3,X3),c_Product__Type_OPair(X3,X3,X2,X1),X4)|~c_member(tc_prod(X3,X3),c_Product__Type_OPair(X3,X3,X1,X2),X4))). 341.39/43.39 cnf(i_0_297, plain, (X1=X2|c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,X2,X1),c_Arrow__Order__Mirabelle_Obelow(X3,X2,X1))|~c_member(tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool),X3,c_Arrow__Order__Mirabelle_OLin))). 341.39/43.39 cnf(i_0_374, plain, (c_member(X1,X2,c_Relation_OImage(X3,X1,X4,X5))|~c_member(tc_prod(X3,X1),c_Product__Type_OPair(X3,X1,X6,X2),X4)|~c_member(X3,X6,X5))). 341.39/43.39 cnf(i_0_711, plain, (c_Groups_Ominus__class_Ominus(tc_fun(X1,tc_HOL_Obool),X2,c_Groups_Ominus__class_Ominus(tc_fun(X1,tc_HOL_Obool),X3,X4))=X4|~c_Orderings_Oord__class_Oless__eq(tc_fun(X1,tc_HOL_Obool),X2,X3)|~c_Orderings_Oord__class_Oless__eq(tc_fun(X1,tc_HOL_Obool),X4,X2))). 341.39/43.39 cnf(i_0_387, plain, (c_Product__Type_OPair(X1,X1,esk41_2(X2,X1),esk41_2(X2,X1))=X2|~c_member(tc_prod(X1,X1),X2,c_Transitive__Closure_Ortrancl(X1,c_Orderings_Obot__class_Obot(tc_fun(tc_prod(X1,X1),tc_HOL_Obool)))))). 341.39/43.39 cnf(i_0_321, plain, (c_Recdef_Owfrec__rel(X1,X2,X3,X4,X5,hAPP(hAPP(X4,X6),X5))|c_member(tc_prod(X1,X1),c_Product__Type_OPair(X1,X1,esk33_7(hAPP(hAPP(X4,X6),X5),X5,X4,X3,X2,X1,X6),X5),X3))). 341.39/43.39 cnf(i_0_501, plain, (hBOOL(hAPP(X1,X2))|c_member(X3,esk56_4(X1,X4,X5,X3),X4)|c_member(X3,esk55_4(X1,X4,X5,X3),X5)|~c_member(X3,X2,c_Lattices_Osemilattice__sup__class_Osup(tc_fun(X3,tc_HOL_Obool),X5,X4)))). 341.39/43.39 cnf(i_0_65, plain, (c_member(tc_prod(X1,X2),c_Product__Type_OPair(X1,X2,X3,X4),X5)|~c_member(X2,X4,c_Relation_OImage(X1,X2,X5,c_Set_Oinsert(X1,X3,c_Orderings_Obot__class_Obot(tc_fun(X1,tc_HOL_Obool))))))). 341.39/43.39 cnf(i_0_96, plain, (c_member(X1,X2,c_Wellfounded_Oacc(X1,X3))|~c_member(tc_prod(X1,X1),c_Product__Type_OPair(X1,X1,X2,X4),X3)|~c_member(X1,X4,c_Wellfounded_Oacc(X1,X3)))). 341.39/43.39 cnf(i_0_292, plain, (X1=X2|X2=X3|X2=X4|c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,X1,X3),X5)|~c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,X1,X3),c_Arrow__Order__Mirabelle_Obelow(X5,X2,X4))|~c_member(tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool),X5,c_Arrow__Order__Mirabelle_OLin))). 341.39/43.39 cnf(i_0_155, plain, (X1=X2|X1=X3|X1=X4|c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,X3,X2),X5)|~c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,X3,X2),c_Arrow__Order__Mirabelle_Oabove(X5,X4,X1))|~c_member(tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool),X5,c_Arrow__Order__Mirabelle_OLin))). 341.39/43.39 cnf(i_0_166, plain, (X1=X2|c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,X1,X2),c_Arrow__Order__Mirabelle_Oabove(X3,X1,X2))|~c_member(tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool),X3,c_Arrow__Order__Mirabelle_OLin))). 341.39/43.39 cnf(i_0_353, plain, (c_member(tc_prod(X1,X1),X2,c_Transitive__Closure_Otrancl(X1,X3))|~c_member(tc_prod(X1,X1),X2,c_Transitive__Closure_Otrancl(X1,X4))|~c_Orderings_Oord__class_Oless__eq(tc_fun(tc_prod(X1,X1),tc_HOL_Obool),X4,X3))). 341.39/43.39 cnf(i_0_154, plain, (X1=X2|X3=X2|X3=X1|c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,X2,X1),X4)|~c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,X2,X3),c_Arrow__Order__Mirabelle_Oabove(X4,X1,X3))|~c_member(tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool),X4,c_Arrow__Order__Mirabelle_OLin))). 341.39/43.39 cnf(i_0_594, plain, (c_Orderings_Obot__class_Obot(tc_fun(X1,tc_HOL_Obool))=X2|c_member(X1,esk60_7(X3,X4,X2,X5,X6,X7,X1),X2)|~c_Nitpick_Ofold__graph_H(X1,X7,X6,X5,X2,hAPP(hAPP(X6,X4),X3)))). 341.39/43.39 cnf(i_0_595, plain, (X1=hAPP(hAPP(X2,X3),X4)|c_member(X5,esk60_7(X4,X3,X6,X1,X2,X7,X5),X6)|~c_Nitpick_Ofold__graph_H(X5,X7,X2,X1,X6,hAPP(hAPP(X2,X3),X4)))). 341.39/43.39 cnf(i_0_286, plain, (c_Orderings_Oord__class_Oless__eq(tc_fun(X1,tc_HOL_Obool),c_Lattices_Osemilattice__sup__class_Osup(tc_fun(X1,tc_HOL_Obool),X2,X3),c_Lattices_Osemilattice__sup__class_Osup(tc_fun(X1,tc_HOL_Obool),X4,X5))|~c_Orderings_Oord__class_Oless__eq(tc_fun(X1,tc_HOL_Obool),X3,X5)|~c_Orderings_Oord__class_Oless__eq(tc_fun(X1,tc_HOL_Obool),X2,X4))). 341.39/43.39 cnf(i_0_313, plain, (c_Orderings_Oord__class_Oless__eq(tc_fun(X1,tc_HOL_Obool),c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(X1,tc_HOL_Obool),X2,X3),c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(X1,tc_HOL_Obool),X4,X5))|~c_Orderings_Oord__class_Oless__eq(tc_fun(X1,tc_HOL_Obool),X3,X5)|~c_Orderings_Oord__class_Oless__eq(tc_fun(X1,tc_HOL_Obool),X2,X4))). 341.39/43.39 cnf(i_0_432, plain, (c_Orderings_Oord__class_Oless__eq(tc_fun(X1,tc_HOL_Obool),c_Groups_Ominus__class_Ominus(tc_fun(X1,tc_HOL_Obool),X2,X3),c_Groups_Ominus__class_Ominus(tc_fun(X1,tc_HOL_Obool),X4,X5))|~c_Orderings_Oord__class_Oless__eq(tc_fun(X1,tc_HOL_Obool),X5,X3)|~c_Orderings_Oord__class_Oless__eq(tc_fun(X1,tc_HOL_Obool),X2,X4))). 341.39/43.39 cnf(i_0_102, plain, (c_member(tc_prod(X1,X1),c_Product__Type_OPair(X1,X1,X2,esk8_4(X3,X4,X2,X1)),c_Transitive__Closure_Ortrancl(X1,X3))|~c_member(tc_prod(X1,X1),c_Product__Type_OPair(X1,X1,X2,X4),c_Transitive__Closure_Otrancl(X1,X3)))). 341.39/43.39 cnf(i_0_227, plain, (c_member(tc_prod(X1,X1),c_Product__Type_OPair(X1,X1,esk22_4(X2,X3,X4,X1),X3),c_Transitive__Closure_Ortrancl(X1,X2))|~c_member(tc_prod(X1,X1),c_Product__Type_OPair(X1,X1,X4,X3),c_Transitive__Closure_Otrancl(X1,X2)))). 341.39/43.39 cnf(i_0_283, plain, (c_member(X1,esk30_4(X2,X3,X4,X1),X4)|c_member(X1,esk29_4(X2,X3,X4,X1),X3)|~hBOOL(hAPP(X2,X5))|~c_member(X1,X5,c_Lattices_Osemilattice__sup__class_Osup(tc_fun(X1,tc_HOL_Obool),X4,X3)))). 341.39/43.39 cnf(i_0_293, plain, (X1=X2|X3=X2|X3=X1|c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,X1,X2),X4)|~c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,X3,X2),c_Arrow__Order__Mirabelle_Obelow(X4,X3,X1))|~c_member(tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool),X4,c_Arrow__Order__Mirabelle_OLin))). 341.39/43.39 cnf(i_0_396, plain, (c_member(tc_prod(X1,X1),c_Product__Type_OPair(X1,X1,X2,X3),c_Transitive__Closure_Ortrancl(X1,X4))|esk43_5(X5,X4,X3,X2,X1)!=esk42_5(X5,X4,X3,X2,X1)|~c_member(tc_prod(X1,X1),c_Product__Type_OPair(X1,X1,X2,X3),c_Transitive__Closure_Ortrancl(X1,c_Lattices_Osemilattice__sup__class_Osup(tc_fun(tc_prod(X1,X1),tc_HOL_Obool),X4,X5))))). 341.39/43.39 cnf(i_0_535, plain, (c_member(tc_prod(X1,X1),c_Product__Type_OPair(X1,X1,X2,esk57_4(X3,X4,X2,X1)),X3)|c_member(tc_prod(X1,X1),c_Product__Type_OPair(X1,X1,X2,X4),X3)|~c_member(tc_prod(X1,X1),c_Product__Type_OPair(X1,X1,X2,X4),c_Transitive__Closure_Otrancl(X1,X3)))). 341.39/43.39 cnf(i_0_331, plain, (c_member(tc_prod(X1,X1),c_Product__Type_OPair(X1,X1,esk34_4(X2,X3,X4,X1),X3),X2)|c_member(tc_prod(X1,X1),c_Product__Type_OPair(X1,X1,X4,X3),X2)|~c_member(tc_prod(X1,X1),c_Product__Type_OPair(X1,X1,X4,X3),c_Transitive__Closure_Otrancl(X1,X2)))). 341.39/43.39 cnf(i_0_620, hypothesis, (X1=X2|c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,X1,X2),v_F(v_P))|~c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,X1,X2),hAPP(v_P,v_i)))). 341.39/43.39 cnf(i_0_118, plain, (c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(X1,tc_HOL_Obool),X2,X3)=c_Orderings_Obot__class_Obot(tc_fun(X1,tc_HOL_Obool))|X2=X3|~c_Equiv__Relations_Oequiv(X1,X4,X5)|~c_member(tc_fun(X1,tc_HOL_Obool),X3,c_Equiv__Relations_Oquotient(X1,X4,X5))|~c_member(tc_fun(X1,tc_HOL_Obool),X2,c_Equiv__Relations_Oquotient(X1,X4,X5)))). 341.39/43.39 cnf(i_0_282, plain, (hBOOL(hAPP(X1,esk30_4(X1,X2,X3,X4)))|c_member(X4,esk29_4(X1,X2,X3,X4),X2)|~hBOOL(hAPP(X1,X5))|~c_member(X4,X5,c_Lattices_Osemilattice__sup__class_Osup(tc_fun(X4,tc_HOL_Obool),X3,X2)))). 341.39/43.39 cnf(i_0_285, plain, (hBOOL(hAPP(X1,esk29_4(X1,X2,X3,X4)))|c_member(X4,esk30_4(X1,X2,X3,X4),X3)|~hBOOL(hAPP(X1,X5))|~c_member(X4,X5,c_Lattices_Osemilattice__sup__class_Osup(tc_fun(X4,tc_HOL_Obool),X3,X2)))). 341.39/43.39 cnf(i_0_284, plain, (hBOOL(hAPP(X1,esk30_4(X1,X2,X3,X4)))|hBOOL(hAPP(X1,esk29_4(X1,X2,X3,X4)))|~hBOOL(hAPP(X1,X5))|~c_member(X4,X5,c_Lattices_Osemilattice__sup__class_Osup(tc_fun(X4,tc_HOL_Obool),X3,X2)))). 341.39/43.39 cnf(i_0_559, plain, (c_Orderings_Oord__class_Oless__eq(tc_fun(X1,tc_HOL_Obool),c_Relation_OImage(X2,X1,X3,X4),c_Relation_OImage(X2,X1,X5,X6))|~c_Orderings_Oord__class_Oless__eq(tc_fun(tc_prod(X2,X1),tc_HOL_Obool),X3,X5)|~c_Orderings_Oord__class_Oless__eq(tc_fun(X2,tc_HOL_Obool),X4,X6))). 341.39/43.39 cnf(i_0_211, plain, (c_member(tc_prod(X1,X1),c_Product__Type_OPair(X1,X1,X2,X3),c_Relation_Oinv__image(X4,X1,X5,X6))|~c_member(tc_prod(X4,X4),c_Product__Type_OPair(X4,X4,hAPP(X6,X2),hAPP(X6,X3)),X5))). 341.39/43.39 cnf(i_0_210, plain, (c_member(tc_prod(X1,X1),c_Product__Type_OPair(X1,X1,hAPP(X2,X3),hAPP(X2,X4)),X5)|~c_member(tc_prod(X6,X6),c_Product__Type_OPair(X6,X6,X3,X4),c_Relation_Oinv__image(X1,X6,X5,X2)))). 341.39/43.39 cnf(i_0_723, plain, (X1=X2|c_member(tc_prod(X3,X3),c_Product__Type_OPair(X3,X3,X1,esk72_4(X4,X2,X1,X3)),c_Transitive__Closure_Ortrancl(X3,X4))|~c_member(tc_prod(X3,X3),c_Product__Type_OPair(X3,X3,X1,X2),c_Transitive__Closure_Ortrancl(X3,X4)))). 341.39/43.39 cnf(i_0_759, plain, (X1=X2|c_member(tc_prod(X3,X3),c_Product__Type_OPair(X3,X3,esk81_4(X4,X1,X2,X3),X1),c_Transitive__Closure_Ortrancl(X3,X4))|~c_member(tc_prod(X3,X3),c_Product__Type_OPair(X3,X3,X2,X1),c_Transitive__Closure_Ortrancl(X3,X4)))). 341.39/43.39 cnf(i_0_642, plain, (c_member(tc_prod(X1,X1),c_Product__Type_OPair(X1,X1,X2,X3),c_Transitive__Closure_Ortrancl(X1,X4))|esk68_5(X5,X4,X3,X2,X1)!=esk67_5(X5,X4,X3,X2,X1)|~c_member(tc_prod(X1,X1),c_Product__Type_OPair(X1,X1,X2,X3),c_Transitive__Closure_Ortrancl(X1,c_Lattices_Osemilattice__sup__class_Osup(tc_fun(tc_prod(X1,X1),tc_HOL_Obool),X4,X5))))). 341.39/43.39 cnf(i_0_478, plain, (c_Recdef_Ocut(X1,X2,X3,X4,X5)=c_Recdef_Ocut(X1,X2,X6,X4,X5)|hAPP(X3,esk51_6(X6,X5,X4,X3,X2,X1))!=hAPP(X6,esk51_6(X6,X5,X4,X3,X2,X1)))). 341.39/43.39 cnf(i_0_169, plain, (X1=X2|X3=X2|c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,X2,X1),c_Arrow__Order__Mirabelle_Oabove(X4,X3,X2))|~c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,X3,X1),X4)|~c_member(tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool),X4,c_Arrow__Order__Mirabelle_OLin))). 341.39/43.39 cnf(i_0_320, plain, (c_Recdef_Owfrec__rel(X1,X2,X3,X4,X5,hAPP(hAPP(X4,X6),X5))|~c_Recdef_Owfrec__rel(X1,X2,X3,X4,esk33_7(hAPP(hAPP(X4,X6),X5),X5,X4,X3,X2,X1,X6),hAPP(X6,esk33_7(hAPP(hAPP(X4,X6),X5),X5,X4,X3,X2,X1,X6))))). 341.39/43.39 cnf(i_0_555, plain, (c_Orderings_Oord__class_Oless__eq(tc_fun(X1,tc_HOL_Obool),c_Groups_Ominus__class_Ominus(tc_fun(X1,tc_HOL_Obool),X2,c_Set_Oinsert(X1,X3,c_Orderings_Obot__class_Obot(tc_fun(X1,tc_HOL_Obool)))),X4)|~c_member(X1,X3,X2)|~c_Orderings_Oord__class_Oless__eq(tc_fun(X1,tc_HOL_Obool),X2,c_Set_Oinsert(X1,X3,X4)))). 341.39/43.39 cnf(i_0_371, plain, (c_Orderings_Oord__class_Oless__eq(tc_fun(X1,tc_HOL_Obool),c_Lattices_Osemilattice__sup__class_Osup(tc_fun(X1,tc_HOL_Obool),c_Relation_ODomain(X1,X1,X2),c_Relation_ORange(X1,X1,X2)),c_Lattices_Osemilattice__sup__class_Osup(tc_fun(X1,tc_HOL_Obool),c_Relation_ODomain(X1,X1,X3),c_Relation_ORange(X1,X1,X3)))|~c_Orderings_Oord__class_Oless__eq(tc_fun(tc_prod(X1,X1),tc_HOL_Obool),X2,X3))). 341.39/43.39 cnf(i_0_639, plain, (hBOOL(hAPP(X1,esk66_5(X1,X2,X3,X4,X5)))|hBOOL(hAPP(X1,X4))|~hBOOL(hAPP(X1,X3))|~c_member(tc_prod(X5,X5),c_Product__Type_OPair(X5,X5,X4,X3),c_Transitive__Closure_Ortrancl(X5,X2)))). 341.39/43.39 cnf(i_0_787, plain, (hBOOL(hAPP(X1,esk87_5(X1,X2,X3,X4,X5)))|hBOOL(hAPP(X1,X3))|~hBOOL(hAPP(X1,X4))|~c_member(tc_prod(X5,X5),c_Product__Type_OPair(X5,X5,X4,X3),c_Transitive__Closure_Ortrancl(X5,X2)))). 341.39/43.39 cnf(i_0_346, plain, (c_member(tc_prod(X1,X1),c_Product__Type_OPair(X1,X1,esk35_4(X2,X2,X3,X1),esk35_4(X2,X2,X3,X1)),c_Transitive__Closure_Otrancl(X1,X3))|~c_member(tc_prod(X1,X1),c_Product__Type_OPair(X1,X1,X2,X2),X3))). 341.39/43.39 cnf(i_0_499, plain, (hBOOL(hAPP(X1,X2))|c_member(X3,esk56_4(X1,X4,X5,X3),X4)|~hBOOL(hAPP(X1,esk55_4(X1,X4,X5,X3)))|~c_member(X3,X2,c_Lattices_Osemilattice__sup__class_Osup(tc_fun(X3,tc_HOL_Obool),X5,X4)))). 341.39/43.39 cnf(i_0_500, plain, (hBOOL(hAPP(X1,X2))|c_member(X3,esk55_4(X1,X4,X5,X3),X5)|~hBOOL(hAPP(X1,esk56_4(X1,X4,X5,X3)))|~c_member(X3,X2,c_Lattices_Osemilattice__sup__class_Osup(tc_fun(X3,tc_HOL_Obool),X5,X4)))). 341.39/43.39 cnf(i_0_375, plain, (c_Recdef_Owfrec__rel(X1,X2,X3,X4,X5,hAPP(hAPP(X4,X6),X5))|~c_Recdef_Owfrec__rel(X1,X2,X3,X4,esk40_6(X6,X4,X2,X3,X5,X1),hAPP(X6,esk40_6(X6,X4,X2,X3,X5,X1))))). 341.39/43.39 cnf(i_0_399, plain, (X1=X2|~c_Relation_Osingle__valued(X3,X4,X5)|~c_member(tc_prod(X3,X4),c_Product__Type_OPair(X3,X4,X6,X2),X5)|~c_member(tc_prod(X3,X4),c_Product__Type_OPair(X3,X4,X6,X1),X5))). 341.39/43.39 cnf(i_0_306, plain, (X1=X2|X3=X2|c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,X3,X2),c_Arrow__Order__Mirabelle_Obelow(X4,X2,X1))|~c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,X3,X1),X4)|~c_member(tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool),X4,c_Arrow__Order__Mirabelle_OLin))). 341.39/43.39 cnf(i_0_303, plain, (X1=X2|X1=X3|X2=X3|X2=X4|c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,X3,X1),c_Arrow__Order__Mirabelle_Obelow(X5,X2,X4))|~c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,X3,X1),X5)|~c_member(tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool),X5,c_Arrow__Order__Mirabelle_OLin))). 341.39/43.39 cnf(i_0_162, plain, (X1=X2|X1=X3|X2=X3|X2=X4|c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,X1,X3),c_Arrow__Order__Mirabelle_Oabove(X5,X4,X2))|~c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,X1,X3),X5)|~c_member(tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool),X5,c_Arrow__Order__Mirabelle_OLin))). 341.39/43.39 cnf(i_0_152, plain, (X1=X2|c_member(tc_prod(X3,X3),c_Product__Type_OPair(X3,X3,X1,X2),X4)|c_member(tc_prod(X3,X3),c_Product__Type_OPair(X3,X3,X2,X1),X4)|~c_Relation_Ototal__on(X3,X5,X4)|~c_member(X3,X2,X5)|~c_member(X3,X1,X5))). 341.39/43.39 cnf(i_0_178, plain, (c_Order__Relation_Owell__order__on(X1,X2,X3)|~c_Order__Relation_Olinear__order__on(X1,X2,X3)|~c_Wellfounded_Owf(X1,c_Groups_Ominus__class_Ominus(tc_fun(tc_prod(X1,X1),tc_HOL_Obool),X3,c_Transitive__Closure_Ortrancl(X1,c_Orderings_Obot__class_Obot(tc_fun(tc_prod(X1,X1),tc_HOL_Obool))))))). 341.39/43.39 cnf(i_0_323, plain, (c_Recdef_Owfrec__rel(X1,X2,X3,X4,X5,hAPP(esk32_6(X6,X7,X4,X3,X2,X1),X5))|~c_Recdef_Owfrec__rel(X1,X2,X3,X4,X7,X6)|~c_member(tc_prod(X1,X1),c_Product__Type_OPair(X1,X1,X5,X7),X3))). 341.39/43.39 cnf(i_0_457, plain, (c_member(tc_prod(tc_prod(X1,X2),tc_prod(X1,X2)),c_Product__Type_OPair(tc_prod(X1,X2),tc_prod(X1,X2),c_Product__Type_OPair(X1,X2,X3,X4),c_Product__Type_OPair(X1,X2,X5,X6)),c_Wellfounded_Olex__prod(X1,X2,X7,X8))|~c_member(tc_prod(X1,X1),c_Product__Type_OPair(X1,X1,X3,X5),X7))). 341.39/43.39 cnf(i_0_274, plain, (c_Recdef_Owfrec__rel(X1,X2,X3,X4,X5,hAPP(hAPP(X4,X6),X5))|c_member(tc_prod(X1,X1),c_Product__Type_OPair(X1,X1,esk28_7(X6,X5,X4,X3,X2,X1,X7),X5),X3)|hAPP(hAPP(X4,X6),X5)!=hAPP(hAPP(X4,X7),X5))). 341.39/43.39 cnf(i_0_332, plain, (c_member(tc_prod(X1,X1),c_Product__Type_OPair(X1,X1,X2,esk34_4(X3,X4,X2,X1)),c_Transitive__Closure_Otrancl(X1,X3))|c_member(tc_prod(X1,X1),c_Product__Type_OPair(X1,X1,X2,X4),X3)|~c_member(tc_prod(X1,X1),c_Product__Type_OPair(X1,X1,X2,X4),c_Transitive__Closure_Otrancl(X1,X3)))). 341.39/43.39 cnf(i_0_534, plain, (c_member(tc_prod(X1,X1),c_Product__Type_OPair(X1,X1,esk57_4(X2,X3,X4,X1),X3),c_Transitive__Closure_Otrancl(X1,X2))|c_member(tc_prod(X1,X1),c_Product__Type_OPair(X1,X1,X4,X3),X2)|~c_member(tc_prod(X1,X1),c_Product__Type_OPair(X1,X1,X4,X3),c_Transitive__Closure_Otrancl(X1,X2)))). 341.39/43.39 cnf(i_0_666, plain, (c_Relation_OImage(X1,X1,X2,c_Set_Oinsert(X1,X3,c_Orderings_Obot__class_Obot(tc_fun(X1,tc_HOL_Obool))))=c_Relation_OImage(X1,X1,X2,c_Set_Oinsert(X1,X4,c_Orderings_Obot__class_Obot(tc_fun(X1,tc_HOL_Obool))))|~c_Equiv__Relations_Oequiv(X1,X5,X2)|~c_member(tc_prod(X1,X1),c_Product__Type_OPair(X1,X1,X3,X4),X2))). 341.39/43.39 cnf(i_0_498, plain, (hBOOL(hAPP(X1,X2))|~hBOOL(hAPP(X1,esk55_4(X1,X3,X4,X5)))|~hBOOL(hAPP(X1,esk56_4(X1,X3,X4,X5)))|~c_member(X5,X2,c_Lattices_Osemilattice__sup__class_Osup(tc_fun(X5,tc_HOL_Obool),X4,X3)))). 341.39/43.39 cnf(i_0_273, plain, (c_Recdef_Owfrec__rel(X1,X2,X3,X4,X5,hAPP(hAPP(X4,X6),X5))|hAPP(hAPP(X4,X6),X5)!=hAPP(hAPP(X4,X7),X5)|~c_Recdef_Owfrec__rel(X1,X2,X3,X4,esk28_7(X6,X5,X4,X3,X2,X1,X7),hAPP(X7,esk28_7(X6,X5,X4,X3,X2,X1,X7))))). 341.39/43.39 cnf(i_0_122, plain, (c_member(tc_prod(X1,X1),c_Product__Type_OPair(X1,X1,X2,X3),X4)|~c_Equiv__Relations_Oequiv(X1,X5,X4)|~c_member(X1,X6,c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(X1,tc_HOL_Obool),c_Relation_OImage(X1,X1,X4,c_Set_Oinsert(X1,X2,c_Orderings_Obot__class_Obot(tc_fun(X1,tc_HOL_Obool)))),c_Relation_OImage(X1,X1,X4,c_Set_Oinsert(X1,X3,c_Orderings_Obot__class_Obot(tc_fun(X1,tc_HOL_Obool)))))))). 341.39/43.39 cnf(i_0_295, plain, (X1=X2|X1=X3|c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,X2,X1),c_Arrow__Order__Mirabelle_Obelow(X4,X3,X1))|~c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,X2,X1),X4)|~c_member(tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool),X4,c_Arrow__Order__Mirabelle_OLin))). 341.39/43.39 cnf(i_0_301, plain, (X1=X2|X3=X1|c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,X1,X3),c_Arrow__Order__Mirabelle_Obelow(X4,X1,X2))|~c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,X2,X3),X4)|~c_member(tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool),X4,c_Arrow__Order__Mirabelle_OLin))). 341.39/43.39 cnf(i_0_448, plain, (c_member(tc_prod(X1,X1),c_Product__Type_OPair(X1,X1,X2,X3),c_Transitive__Closure_Otrancl(X1,X4))|~c_member(tc_prod(X1,X1),c_Product__Type_OPair(X1,X1,X5,X3),X4)|~c_member(tc_prod(X1,X1),c_Product__Type_OPair(X1,X1,X2,X5),X4))). 341.39/43.39 cnf(i_0_598, plain, (hAPP(hAPP(X1,esk60_7(X2,X3,X4,X5,X1,X6,X7)),esk61_7(X2,X3,X4,X5,X1,X6,X7))=hAPP(hAPP(X1,X3),X2)|c_Orderings_Obot__class_Obot(tc_fun(X7,tc_HOL_Obool))=X4|~c_Nitpick_Ofold__graph_H(X7,X6,X1,X5,X4,hAPP(hAPP(X1,X3),X2)))). 341.39/43.39 cnf(i_0_789, plain, (hBOOL(hAPP(X1,X2))|c_member(tc_prod(X3,X3),c_Product__Type_OPair(X3,X3,X4,esk87_5(X1,X5,X2,X4,X3)),c_Transitive__Closure_Ortrancl(X3,X5))|~hBOOL(hAPP(X1,X4))|~c_member(tc_prod(X3,X3),c_Product__Type_OPair(X3,X3,X4,X2),c_Transitive__Closure_Ortrancl(X3,X5)))). 341.39/43.39 cnf(i_0_640, plain, (hBOOL(hAPP(X1,X2))|c_member(tc_prod(X3,X3),c_Product__Type_OPair(X3,X3,esk66_5(X1,X4,X5,X2,X3),X5),c_Transitive__Closure_Ortrancl(X3,X4))|~hBOOL(hAPP(X1,X5))|~c_member(tc_prod(X3,X3),c_Product__Type_OPair(X3,X3,X2,X5),c_Transitive__Closure_Ortrancl(X3,X4)))). 341.39/43.39 cnf(i_0_477, plain, (hAPP(X1,X2)=hAPP(X3,X2)|c_Recdef_Ocut(X4,X5,X1,X6,X7)!=c_Recdef_Ocut(X4,X5,X3,X6,X7)|~c_member(tc_prod(X4,X4),c_Product__Type_OPair(X4,X4,X2,X7),X6))). 341.39/43.39 cnf(i_0_599, plain, (hAPP(hAPP(X1,esk60_7(X2,X3,X4,X5,X1,X6,X7)),esk61_7(X2,X3,X4,X5,X1,X6,X7))=hAPP(hAPP(X1,X3),X2)|X5=hAPP(hAPP(X1,X3),X2)|~c_Nitpick_Ofold__graph_H(X7,X6,X1,X5,X4,hAPP(hAPP(X1,X3),X2)))). 341.39/43.39 cnf(i_0_75, plain, (c_Orderings_Oord__class_Oless__eq(tc_fun(X1,tc_HOL_Obool),c_Relation_OImage(X1,X1,X2,c_Set_Oinsert(X1,X3,c_Orderings_Obot__class_Obot(tc_fun(X1,tc_HOL_Obool)))),c_Relation_OImage(X1,X1,X2,c_Set_Oinsert(X1,X4,c_Orderings_Obot__class_Obot(tc_fun(X1,tc_HOL_Obool)))))|~c_Equiv__Relations_Oequiv(X1,X5,X2)|~c_member(tc_prod(X1,X1),c_Product__Type_OPair(X1,X1,X3,X4),X2))). 341.39/43.39 cnf(i_0_402, plain, (c_member(tc_prod(X1,X1),c_Product__Type_OPair(X1,X1,X2,X3),X4)|~c_Equiv__Relations_Oequiv(X1,X5,X4)|~c_member(X1,X3,X5)|~c_Orderings_Oord__class_Oless__eq(tc_fun(X1,tc_HOL_Obool),c_Relation_OImage(X1,X1,X4,c_Set_Oinsert(X1,X3,c_Orderings_Obot__class_Obot(tc_fun(X1,tc_HOL_Obool)))),c_Relation_OImage(X1,X1,X4,c_Set_Oinsert(X1,X2,c_Orderings_Obot__class_Obot(tc_fun(X1,tc_HOL_Obool))))))). 341.39/43.39 cnf(i_0_459, plain, (X1=X2|c_member(tc_prod(X3,X3),c_Product__Type_OPair(X3,X3,X2,X1),X4)|~c_member(tc_prod(tc_prod(X3,X5),tc_prod(X3,X5)),c_Product__Type_OPair(tc_prod(X3,X5),tc_prod(X3,X5),c_Product__Type_OPair(X3,X5,X2,X6),c_Product__Type_OPair(X3,X5,X1,X7)),c_Wellfounded_Olex__prod(X3,X5,X4,X8)))). 341.39/43.39 cnf(i_0_458, plain, (c_member(tc_prod(X1,X1),c_Product__Type_OPair(X1,X1,X2,X3),X4)|c_member(tc_prod(X5,X5),c_Product__Type_OPair(X5,X5,X6,X7),X8)|~c_member(tc_prod(tc_prod(X5,X1),tc_prod(X5,X1)),c_Product__Type_OPair(tc_prod(X5,X1),tc_prod(X5,X1),c_Product__Type_OPair(X5,X1,X6,X2),c_Product__Type_OPair(X5,X1,X7,X3)),c_Wellfounded_Olex__prod(X5,X1,X8,X4)))). 341.39/43.39 cnf(i_0_164, plain, (X1=X2|X3=X1|c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,X3,X1),c_Arrow__Order__Mirabelle_Oabove(X4,X2,X1))|~c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,X3,X2),X4)|~c_member(tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool),X4,c_Arrow__Order__Mirabelle_OLin))). 341.39/43.39 cnf(i_0_160, plain, (X1=X2|X1=X3|c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,X1,X2),c_Arrow__Order__Mirabelle_Oabove(X4,X1,X3))|~c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,X1,X2),X4)|~c_member(tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool),X4,c_Arrow__Order__Mirabelle_OLin))). 341.39/43.39 cnf(i_0_139, plain, (c_Nitpick_Ofold__graph_H(X1,X2,X3,X4,X5,hAPP(hAPP(X3,X6),X7))|~c_Nitpick_Ofold__graph_H(X1,X2,X3,X4,c_Groups_Ominus__class_Ominus(tc_fun(X1,tc_HOL_Obool),X5,c_Set_Oinsert(X1,X6,c_Orderings_Obot__class_Obot(tc_fun(X1,tc_HOL_Obool)))),X7)|~c_member(X1,X6,X5))). 341.39/43.39 cnf(i_0_456, plain, (c_member(tc_prod(tc_prod(X1,X2),tc_prod(X1,X2)),c_Product__Type_OPair(tc_prod(X1,X2),tc_prod(X1,X2),c_Product__Type_OPair(X1,X2,X3,X4),c_Product__Type_OPair(X1,X2,X3,X5)),c_Wellfounded_Olex__prod(X1,X2,X6,X7))|~c_member(tc_prod(X2,X2),c_Product__Type_OPair(X2,X2,X4,X5),X7))). 341.39/43.39 cnf(i_0_641, plain, (hBOOL(hAPP(X1,X2))|c_member(tc_prod(X3,X3),c_Product__Type_OPair(X3,X3,esk65_5(X1,X4,X5,X2,X3),esk66_5(X1,X4,X5,X2,X3)),X4)|~hBOOL(hAPP(X1,X5))|~c_member(tc_prod(X3,X3),c_Product__Type_OPair(X3,X3,X2,X5),c_Transitive__Closure_Ortrancl(X3,X4)))). 341.39/43.39 cnf(i_0_788, plain, (hBOOL(hAPP(X1,X2))|c_member(tc_prod(X3,X3),c_Product__Type_OPair(X3,X3,esk87_5(X1,X4,X2,X5,X3),esk88_5(X1,X4,X2,X5,X3)),X4)|~hBOOL(hAPP(X1,X5))|~c_member(tc_prod(X3,X3),c_Product__Type_OPair(X3,X3,X5,X2),c_Transitive__Closure_Ortrancl(X3,X4)))). 341.39/43.39 cnf(i_0_660, plain, (c_member(tc_prod(X1,X1),c_Product__Type_OPair(X1,X1,X2,X3),c_Transitive__Closure_Otrancl(X1,X4))|~c_member(tc_prod(X1,X1),c_Product__Type_OPair(X1,X1,X2,X5),c_Transitive__Closure_Otrancl(X1,X4))|~c_member(tc_prod(X1,X1),c_Product__Type_OPair(X1,X1,X5,X3),X4))). 341.39/43.39 cnf(i_0_53, plain, (c_member(tc_prod(X1,X1),c_Product__Type_OPair(X1,X1,X2,X3),c_Transitive__Closure_Otrancl(X1,X4))|~c_member(tc_prod(X1,X1),c_Product__Type_OPair(X1,X1,X2,X5),c_Transitive__Closure_Ortrancl(X1,X4))|~c_member(tc_prod(X1,X1),c_Product__Type_OPair(X1,X1,X5,X3),X4))). 341.39/43.39 cnf(i_0_16, plain, (c_member(tc_prod(X1,X1),c_Product__Type_OPair(X1,X1,X2,X3),X4)|~c_member(X1,X2,c_Lattices_Osemilattice__sup__class_Osup(tc_fun(X1,tc_HOL_Obool),c_Relation_ODomain(X1,X1,X4),c_Relation_ORange(X1,X1,X4)))|~c_member(X1,X3,c_Lattices_Osemilattice__sup__class_Osup(tc_fun(X1,tc_HOL_Obool),c_Relation_ODomain(X1,X1,X4),c_Relation_ORange(X1,X1,X4)))|~c_Orderings_Oord__class_Oless__eq(tc_fun(X1,tc_HOL_Obool),c_Relation_OImage(X1,X1,X4,c_Set_Oinsert(X1,X3,c_Orderings_Obot__class_Obot(tc_fun(X1,tc_HOL_Obool)))),c_Relation_OImage(X1,X1,X4,c_Set_Oinsert(X1,X2,c_Orderings_Obot__class_Obot(tc_fun(X1,tc_HOL_Obool)))))|~c_Order__Relation_Opreorder__on(X1,c_Lattices_Osemilattice__sup__class_Osup(tc_fun(X1,tc_HOL_Obool),c_Relation_ODomain(X1,X1,X4),c_Relation_ORange(X1,X1,X4)),X4))). 341.39/43.39 cnf(i_0_740, plain, (hBOOL(hAPP(hAPP(X1,X2),X3))|~hBOOL(hAPP(hAPP(X1,esk74_8(X1,X4,X5,X6,X3,X2,X7,X8)),esk75_8(X1,X4,X5,X6,X3,X2,X7,X8)))|~hBOOL(hAPP(hAPP(X1,X6),X5))|~c_member(tc_prod(tc_prod(X8,X7),tc_prod(X8,X7)),c_Product__Type_OPair(tc_prod(X8,X7),tc_prod(X8,X7),c_Product__Type_OPair(X8,X7,X2,X3),c_Product__Type_OPair(X8,X7,X6,X5)),c_Transitive__Closure_Ortrancl(tc_prod(X8,X7),X4)))). 341.39/43.39 cnf(i_0_247, plain, (hBOOL(hAPP(hAPP(X1,X2),X3))|~hBOOL(hAPP(hAPP(X1,esk25_8(X1,X4,X3,X2,X5,X6,X7,X8)),esk26_8(X1,X4,X3,X2,X5,X6,X7,X8)))|~hBOOL(hAPP(hAPP(X1,X6),X5))|~c_member(tc_prod(tc_prod(X8,X7),tc_prod(X8,X7)),c_Product__Type_OPair(tc_prod(X8,X7),tc_prod(X8,X7),c_Product__Type_OPair(X8,X7,X6,X5),c_Product__Type_OPair(X8,X7,X2,X3)),c_Transitive__Closure_Ortrancl(tc_prod(X8,X7),X4)))). 341.39/43.39 cnf(i_0_411, plain, (c_member(tc_prod(X1,X1),c_Product__Type_OPair(X1,X1,X2,X3),c_Transitive__Closure_Otrancl(X1,X4))|~c_member(tc_prod(X1,X1),c_Product__Type_OPair(X1,X1,X5,X3),c_Transitive__Closure_Otrancl(X1,X4))|~c_member(tc_prod(X1,X1),c_Product__Type_OPair(X1,X1,X2,X5),X4))). 341.39/43.39 cnf(i_0_389, plain, (c_member(tc_prod(X1,X1),c_Product__Type_OPair(X1,X1,X2,X3),c_Transitive__Closure_Otrancl(X1,X4))|~c_member(tc_prod(X1,X1),c_Product__Type_OPair(X1,X1,X5,X3),c_Transitive__Closure_Ortrancl(X1,X4))|~c_member(tc_prod(X1,X1),c_Product__Type_OPair(X1,X1,X2,X5),X4))). 341.39/43.39 cnf(i_0_608, plain, (c_member(tc_prod(X1,X1),c_Product__Type_OPair(X1,X1,X2,X3),c_Transitive__Closure_Ortrancl(X1,X4))|~c_member(tc_prod(X1,X1),c_Product__Type_OPair(X1,X1,X2,X5),c_Transitive__Closure_Ortrancl(X1,X4))|~c_member(tc_prod(X1,X1),c_Product__Type_OPair(X1,X1,X5,X3),X4))). 341.39/43.39 cnf(i_0_710, plain, (c_member(tc_prod(X1,X1),c_Product__Type_OPair(X1,X1,X2,X3),c_Transitive__Closure_Ortrancl(X1,X4))|~c_member(tc_prod(X1,X1),c_Product__Type_OPair(X1,X1,X5,X3),c_Transitive__Closure_Ortrancl(X1,X4))|~c_member(tc_prod(X1,X1),c_Product__Type_OPair(X1,X1,X2,X5),X4))). 341.39/43.39 cnf(i_0_44, plain, (c_member(tc_prod(X1,X1),c_Product__Type_OPair(X1,X1,X2,X3),X4)|~c_member(tc_prod(X1,X1),c_Product__Type_OPair(X1,X1,X5,X3),X4)|~c_member(tc_prod(X1,X1),c_Product__Type_OPair(X1,X1,X2,X5),X4)|~c_Relation_Otrans(X1,X4))). 341.39/43.39 cnf(i_0_276, plain, (c_Recdef_Owfrec__rel(X1,X2,X3,X4,X5,hAPP(esk27_6(X6,X7,X4,X3,X2,X1),X5))|~c_Recdef_Owfrec__rel(X1,X2,X3,X4,X7,hAPP(hAPP(X4,X6),X7))|~c_member(tc_prod(X1,X1),c_Product__Type_OPair(X1,X1,X5,X7),X3))). 341.39/43.39 cnf(i_0_471, plain, (X1=X2|c_Relation_OImage(X3,X3,X4,c_Set_Oinsert(X3,X1,c_Orderings_Obot__class_Obot(tc_fun(X3,tc_HOL_Obool))))!=c_Relation_OImage(X3,X3,X4,c_Set_Oinsert(X3,X2,c_Orderings_Obot__class_Obot(tc_fun(X3,tc_HOL_Obool))))|~c_Order__Relation_Opartial__order__on(X3,c_Lattices_Osemilattice__sup__class_Osup(tc_fun(X3,tc_HOL_Obool),c_Relation_ODomain(X3,X3,X4),c_Relation_ORange(X3,X3,X4)),X4)|~c_member(X3,X2,c_Lattices_Osemilattice__sup__class_Osup(tc_fun(X3,tc_HOL_Obool),c_Relation_ODomain(X3,X3,X4),c_Relation_ORange(X3,X3,X4)))|~c_member(X3,X1,c_Lattices_Osemilattice__sup__class_Osup(tc_fun(X3,tc_HOL_Obool),c_Relation_ODomain(X3,X3,X4),c_Relation_ORange(X3,X3,X4))))). 341.39/43.39 cnf(i_0_40, plain, (X1=X2|c_Relation_OImage(X3,X3,X4,c_Set_Oinsert(X3,X1,c_Orderings_Obot__class_Obot(tc_fun(X3,tc_HOL_Obool))))!=c_Relation_OImage(X3,X3,X4,c_Set_Oinsert(X3,X2,c_Orderings_Obot__class_Obot(tc_fun(X3,tc_HOL_Obool))))|~c_Relation_Oantisym(X3,X4)|~c_member(X3,X2,c_Lattices_Osemilattice__sup__class_Osup(tc_fun(X3,tc_HOL_Obool),c_Relation_ODomain(X3,X3,X4),c_Relation_ORange(X3,X3,X4)))|~c_member(X3,X1,c_Lattices_Osemilattice__sup__class_Osup(tc_fun(X3,tc_HOL_Obool),c_Relation_ODomain(X3,X3,X4),c_Relation_ORange(X3,X3,X4)))|~c_Relation_Orefl__on(X3,c_Lattices_Osemilattice__sup__class_Osup(tc_fun(X3,tc_HOL_Obool),c_Relation_ODomain(X3,X3,X4),c_Relation_ORange(X3,X3,X4)),X4))). 341.39/43.39 cnf(i_0_355, plain, (c_Orderings_Oord__class_Oless__eq(tc_fun(X1,tc_HOL_Obool),c_Relation_OImage(X1,X1,X2,X3),c_Relation_OImage(X1,X1,X2,X4))|~c_member(tc_prod(X1,X1),c_Product__Type_OPair(X1,X1,X5,esk38_4(X4,X3,X2,X1)),X2)|~c_member(X1,X5,X4)|~c_Orderings_Oord__class_Oless__eq(tc_fun(X1,tc_HOL_Obool),X3,c_Lattices_Osemilattice__sup__class_Osup(tc_fun(X1,tc_HOL_Obool),c_Relation_ODomain(X1,X1,X2),c_Relation_ORange(X1,X1,X2)))|~c_Orderings_Oord__class_Oless__eq(tc_fun(X1,tc_HOL_Obool),X4,c_Lattices_Osemilattice__sup__class_Osup(tc_fun(X1,tc_HOL_Obool),c_Relation_ODomain(X1,X1,X2),c_Relation_ORange(X1,X1,X2)))|~c_Order__Relation_Opreorder__on(X1,c_Lattices_Osemilattice__sup__class_Osup(tc_fun(X1,tc_HOL_Obool),c_Relation_ODomain(X1,X1,X2),c_Relation_ORange(X1,X1,X2)),X2))). 341.39/43.39 cnf(i_0_161, plain, (X1=X2|X3=X2|X3=X4|c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,X4,X3),c_Arrow__Order__Mirabelle_Oabove(X5,X1,X2))|~c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,X4,X3),X5)|~c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,X1,X3),X5)|~c_member(tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool),X5,c_Arrow__Order__Mirabelle_OLin))). 341.39/43.39 cnf(i_0_302, plain, (X1=X2|X1=X3|X4=X3|c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,X1,X2),c_Arrow__Order__Mirabelle_Obelow(X5,X3,X4))|~c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,X1,X2),X5)|~c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,X1,X4),X5)|~c_member(tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool),X5,c_Arrow__Order__Mirabelle_OLin))). 341.39/43.39 cnf(i_0_299, plain, (X1=X2|X1=X3|X2=X4|c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,X3,X1),c_Arrow__Order__Mirabelle_Obelow(X5,X2,X4))|~c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,X4,X1),X5)|~c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,X3,X1),X5)|~c_member(tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool),X5,c_Arrow__Order__Mirabelle_OLin))). 341.39/43.39 cnf(i_0_30, plain, (c_member(tc_prod(X1,X1),c_Product__Type_OPair(X1,X1,X2,X3),X4)|c_Equiv__Relations_Oquotient(X1,c_Set_Oinsert(X1,X3,c_Orderings_Obot__class_Obot(tc_fun(X1,tc_HOL_Obool))),X4)!=c_Equiv__Relations_Oquotient(X1,c_Set_Oinsert(X1,X2,c_Orderings_Obot__class_Obot(tc_fun(X1,tc_HOL_Obool))),X4)|~c_Equiv__Relations_Oequiv(X1,X5,X4)|~c_member(X1,X2,X5)|~c_member(X1,X3,X5))). 341.39/43.39 cnf(i_0_596, plain, (c_Orderings_Obot__class_Obot(tc_fun(X1,tc_HOL_Obool))=X2|c_Nitpick_Ofold__graph_H(X1,X3,X4,X5,c_Groups_Ominus__class_Ominus(tc_fun(X1,tc_HOL_Obool),X2,c_Set_Oinsert(X1,esk60_7(X6,X7,X2,X5,X4,X3,X1),c_Orderings_Obot__class_Obot(tc_fun(X1,tc_HOL_Obool)))),esk61_7(X6,X7,X2,X5,X4,X3,X1))|~c_Nitpick_Ofold__graph_H(X1,X3,X4,X5,X2,hAPP(hAPP(X4,X7),X6)))). 341.39/43.39 cnf(i_0_394, plain, (c_member(tc_prod(X1,X1),c_Product__Type_OPair(X1,X1,X2,X3),c_Transitive__Closure_Otrancl(X1,X4))|~c_member(tc_prod(X1,X1),c_Product__Type_OPair(X1,X1,X5,X3),c_Transitive__Closure_Otrancl(X1,X4))|~c_member(tc_prod(X1,X1),c_Product__Type_OPair(X1,X1,X2,X5),c_Transitive__Closure_Otrancl(X1,X4)))). 341.39/43.39 cnf(i_0_449, plain, (c_member(tc_prod(X1,X1),c_Product__Type_OPair(X1,X1,X2,X3),c_Transitive__Closure_Otrancl(X1,X4))|~c_member(tc_prod(X1,X1),c_Product__Type_OPair(X1,X1,X5,X3),c_Transitive__Closure_Otrancl(X1,X4))|~c_member(tc_prod(X1,X1),c_Product__Type_OPair(X1,X1,X2,X5),c_Transitive__Closure_Ortrancl(X1,X4)))). 341.39/43.39 cnf(i_0_570, plain, (c_member(tc_prod(X1,X1),c_Product__Type_OPair(X1,X1,X2,X3),c_Transitive__Closure_Otrancl(X1,X4))|~c_member(tc_prod(X1,X1),c_Product__Type_OPair(X1,X1,X5,X3),c_Transitive__Closure_Ortrancl(X1,X4))|~c_member(tc_prod(X1,X1),c_Product__Type_OPair(X1,X1,X2,X5),c_Transitive__Closure_Otrancl(X1,X4)))). 341.39/43.39 cnf(i_0_182, plain, (c_member(tc_prod(X1,X1),c_Product__Type_OPair(X1,X1,X2,X3),c_Transitive__Closure_Ortrancl(X1,X4))|~c_member(tc_prod(X1,X1),c_Product__Type_OPair(X1,X1,X5,X3),c_Transitive__Closure_Ortrancl(X1,X4))|~c_member(tc_prod(X1,X1),c_Product__Type_OPair(X1,X1,X2,X5),c_Transitive__Closure_Ortrancl(X1,X4)))). 341.39/43.39 cnf(i_0_597, plain, (X1=hAPP(hAPP(X2,X3),X4)|c_Nitpick_Ofold__graph_H(X5,X6,X2,X1,c_Groups_Ominus__class_Ominus(tc_fun(X5,tc_HOL_Obool),X7,c_Set_Oinsert(X5,esk60_7(X4,X3,X7,X1,X2,X6,X5),c_Orderings_Obot__class_Obot(tc_fun(X5,tc_HOL_Obool)))),esk61_7(X4,X3,X7,X1,X2,X6,X5))|~c_Nitpick_Ofold__graph_H(X5,X6,X2,X1,X7,hAPP(hAPP(X2,X3),X4)))). 341.39/43.39 cnf(i_0_261, plain, (c_member(tc_prod(tc_prod(X1,X2),tc_prod(X1,X2)),c_Product__Type_OPair(tc_prod(X1,X2),tc_prod(X1,X2),c_Product__Type_OPair(X1,X2,X3,X4),c_Product__Type_OPair(X1,X2,X3,X5)),c_Recdef_Osame__fst(X1,X2,X6,X7))|~hBOOL(hAPP(X6,X3))|~c_member(tc_prod(X2,X2),c_Product__Type_OPair(X2,X2,X4,X5),hAPP(X7,X3)))). 341.39/43.39 cnf(i_0_31, plain, (c_Equiv__Relations_Oquotient(X1,c_Set_Oinsert(X1,X2,c_Orderings_Obot__class_Obot(tc_fun(X1,tc_HOL_Obool))),X3)=c_Equiv__Relations_Oquotient(X1,c_Set_Oinsert(X1,X4,c_Orderings_Obot__class_Obot(tc_fun(X1,tc_HOL_Obool))),X3)|~c_Equiv__Relations_Oequiv(X1,X5,X3)|~c_member(tc_prod(X1,X1),c_Product__Type_OPair(X1,X1,X2,X4),X3))). 341.39/43.39 cnf(i_0_158, plain, (X1=X2|X1=X3|X2=X4|c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,X1,X3),c_Arrow__Order__Mirabelle_Oabove(X5,X4,X2))|~c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,X1,X3),X5)|~c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,X1,X4),X5)|~c_member(tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool),X5,c_Arrow__Order__Mirabelle_OLin))). 341.39/43.39 cnf(i_0_644, plain, (c_member(tc_prod(X1,X1),c_Product__Type_OPair(X1,X1,X2,esk67_5(X3,X4,X5,X2,X1)),c_Transitive__Closure_Ortrancl(X1,X4))|c_member(tc_prod(X1,X1),c_Product__Type_OPair(X1,X1,X2,X5),c_Transitive__Closure_Ortrancl(X1,X4))|~c_member(tc_prod(X1,X1),c_Product__Type_OPair(X1,X1,X2,X5),c_Transitive__Closure_Ortrancl(X1,c_Lattices_Osemilattice__sup__class_Osup(tc_fun(tc_prod(X1,X1),tc_HOL_Obool),X4,X3))))). 341.39/43.39 cnf(i_0_398, plain, (c_member(tc_prod(X1,X1),c_Product__Type_OPair(X1,X1,esk42_5(X2,X3,X4,X5,X1),X4),c_Transitive__Closure_Ortrancl(X1,X3))|c_member(tc_prod(X1,X1),c_Product__Type_OPair(X1,X1,X5,X4),c_Transitive__Closure_Ortrancl(X1,X3))|~c_member(tc_prod(X1,X1),c_Product__Type_OPair(X1,X1,X5,X4),c_Transitive__Closure_Ortrancl(X1,c_Lattices_Osemilattice__sup__class_Osup(tc_fun(tc_prod(X1,X1),tc_HOL_Obool),X3,X2))))). 341.39/43.39 cnf(i_0_397, plain, (c_member(tc_prod(X1,X1),c_Product__Type_OPair(X1,X1,esk43_5(X2,X3,X4,X5,X1),esk42_5(X2,X3,X4,X5,X1)),X2)|c_member(tc_prod(X1,X1),c_Product__Type_OPair(X1,X1,X5,X4),c_Transitive__Closure_Ortrancl(X1,X3))|~c_member(tc_prod(X1,X1),c_Product__Type_OPair(X1,X1,X5,X4),c_Transitive__Closure_Ortrancl(X1,c_Lattices_Osemilattice__sup__class_Osup(tc_fun(tc_prod(X1,X1),tc_HOL_Obool),X3,X2))))). 341.39/43.39 cnf(i_0_643, plain, (c_member(tc_prod(X1,X1),c_Product__Type_OPair(X1,X1,esk67_5(X2,X3,X4,X5,X1),esk68_5(X2,X3,X4,X5,X1)),X2)|c_member(tc_prod(X1,X1),c_Product__Type_OPair(X1,X1,X5,X4),c_Transitive__Closure_Ortrancl(X1,X3))|~c_member(tc_prod(X1,X1),c_Product__Type_OPair(X1,X1,X5,X4),c_Transitive__Closure_Ortrancl(X1,c_Lattices_Osemilattice__sup__class_Osup(tc_fun(tc_prod(X1,X1),tc_HOL_Obool),X3,X2))))). 341.39/43.39 cnf(i_0_185, plain, (c_member(tc_prod(X1,X1),c_Product__Type_OPair(X1,X1,X2,X3),X4)|c_Relation_OImage(X1,X1,X4,c_Set_Oinsert(X1,X3,c_Orderings_Obot__class_Obot(tc_fun(X1,tc_HOL_Obool))))!=c_Relation_OImage(X1,X1,X4,c_Set_Oinsert(X1,X2,c_Orderings_Obot__class_Obot(tc_fun(X1,tc_HOL_Obool))))|~c_Equiv__Relations_Oequiv(X1,X5,X4)|~c_member(X1,X3,X5))). 341.39/43.39 cnf(i_0_601, plain, (c_Nitpick_Ofold__graph_H(X1,X2,X3,X4,X5,hAPP(hAPP(X3,X6),X7))|hAPP(hAPP(X3,X8),X9)!=hAPP(hAPP(X3,X6),X7)|~c_Nitpick_Ofold__graph_H(X1,X2,X3,X4,c_Groups_Ominus__class_Ominus(tc_fun(X1,tc_HOL_Obool),X5,c_Set_Oinsert(X1,X8,c_Orderings_Obot__class_Obot(tc_fun(X1,tc_HOL_Obool)))),X9)|~c_member(X1,X8,X5))). 341.39/43.39 cnf(i_0_632, plain, (c_member(tc_prod(X1,X1),c_Product__Type_OPair(X1,X1,X2,X3),c_Transitive__Closure_Ortrancl(X1,X4))|c_member(tc_prod(X1,X1),c_Product__Type_OPair(X1,X1,X3,X2),c_Transitive__Closure_Ortrancl(X1,X4))|~c_Relation_Osingle__valued(X1,X1,X4)|~c_member(tc_prod(X1,X1),c_Product__Type_OPair(X1,X1,X5,X3),c_Transitive__Closure_Ortrancl(X1,X4))|~c_member(tc_prod(X1,X1),c_Product__Type_OPair(X1,X1,X5,X2),c_Transitive__Closure_Ortrancl(X1,X4)))). 341.39/43.39 cnf(i_0_298, plain, (X1=X2|X3=X4|c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,X1,X2),c_Arrow__Order__Mirabelle_Obelow(X5,X4,X3))|~c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,X3,X2),X5)|~c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,X1,X2),X5)|~c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,X1,X3),X5)|~c_member(tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool),X5,c_Arrow__Order__Mirabelle_OLin))). 341.39/43.39 cnf(i_0_157, plain, (X1=X2|X3=X4|c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,X4,X3),c_Arrow__Order__Mirabelle_Oabove(X5,X1,X2))|~c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,X4,X3),X5)|~c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,X4,X1),X5)|~c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,X1,X3),X5)|~c_member(tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool),X5,c_Arrow__Order__Mirabelle_OLin))). 341.39/43.39 cnf(i_0_176, plain, (c_Product__Type_OPair(X1,X2,X3,X4)=c_Product__Type_OPair(X1,X2,X5,X6)|c_member(tc_prod(tc_prod(X1,X2),tc_prod(X1,X2)),c_Product__Type_OPair(tc_prod(X1,X2),tc_prod(X1,X2),c_Product__Type_OPair(X1,X2,X3,X4),c_Product__Type_OPair(X1,X2,esk15_7(X7,X6,X5,X4,X3,X2,X1),esk16_7(X7,X6,X5,X4,X3,X2,X1))),X7)|~c_member(tc_prod(tc_prod(X1,X2),tc_prod(X1,X2)),c_Product__Type_OPair(tc_prod(X1,X2),tc_prod(X1,X2),c_Product__Type_OPair(X1,X2,X3,X4),c_Product__Type_OPair(X1,X2,X5,X6)),c_Transitive__Closure_Ortrancl(tc_prod(X1,X2),X7)))). 341.39/43.39 cnf(i_0_741, plain, (hBOOL(hAPP(hAPP(X1,esk76_8(X1,X2,X3,X4,X5,X6,X7,X8)),esk77_8(X1,X2,X3,X4,X5,X6,X7,X8)))|hBOOL(hAPP(hAPP(X1,X6),X5))|~hBOOL(hAPP(hAPP(X1,X4),X3))|~c_member(tc_prod(tc_prod(X8,X7),tc_prod(X8,X7)),c_Product__Type_OPair(tc_prod(X8,X7),tc_prod(X8,X7),c_Product__Type_OPair(X8,X7,X6,X5),c_Product__Type_OPair(X8,X7,X4,X3)),c_Transitive__Closure_Ortrancl(tc_prod(X8,X7),X2)))). 341.39/43.39 cnf(i_0_248, plain, (hBOOL(hAPP(hAPP(X1,esk23_8(X1,X2,X3,X4,X5,X6,X7,X8)),esk24_8(X1,X2,X3,X4,X5,X6,X7,X8)))|hBOOL(hAPP(hAPP(X1,X4),X3))|~hBOOL(hAPP(hAPP(X1,X6),X5))|~c_member(tc_prod(tc_prod(X8,X7),tc_prod(X8,X7)),c_Product__Type_OPair(tc_prod(X8,X7),tc_prod(X8,X7),c_Product__Type_OPair(X8,X7,X6,X5),c_Product__Type_OPair(X8,X7,X4,X3)),c_Transitive__Closure_Ortrancl(tc_prod(X8,X7),X2)))). 341.39/43.39 cnf(i_0_175, plain, (c_Product__Type_OPair(X1,X2,X3,X4)=c_Product__Type_OPair(X1,X2,X5,X6)|c_member(tc_prod(tc_prod(X1,X2),tc_prod(X1,X2)),c_Product__Type_OPair(tc_prod(X1,X2),tc_prod(X1,X2),c_Product__Type_OPair(X1,X2,esk15_7(X7,X4,X3,X6,X5,X2,X1),esk16_7(X7,X4,X3,X6,X5,X2,X1)),c_Product__Type_OPair(X1,X2,X3,X4)),c_Transitive__Closure_Ortrancl(tc_prod(X1,X2),X7))|~c_member(tc_prod(tc_prod(X1,X2),tc_prod(X1,X2)),c_Product__Type_OPair(tc_prod(X1,X2),tc_prod(X1,X2),c_Product__Type_OPair(X1,X2,X5,X6),c_Product__Type_OPair(X1,X2,X3,X4)),c_Transitive__Closure_Ortrancl(tc_prod(X1,X2),X7)))). 341.39/43.39 cnf(i_0_356, plain, (c_member(X1,esk38_4(X2,X3,X4,X1),X3)|c_Orderings_Oord__class_Oless__eq(tc_fun(X1,tc_HOL_Obool),c_Relation_OImage(X1,X1,X4,X3),c_Relation_OImage(X1,X1,X4,X2))|~c_Orderings_Oord__class_Oless__eq(tc_fun(X1,tc_HOL_Obool),X3,c_Lattices_Osemilattice__sup__class_Osup(tc_fun(X1,tc_HOL_Obool),c_Relation_ODomain(X1,X1,X4),c_Relation_ORange(X1,X1,X4)))|~c_Orderings_Oord__class_Oless__eq(tc_fun(X1,tc_HOL_Obool),X2,c_Lattices_Osemilattice__sup__class_Osup(tc_fun(X1,tc_HOL_Obool),c_Relation_ODomain(X1,X1,X4),c_Relation_ORange(X1,X1,X4)))|~c_Order__Relation_Opreorder__on(X1,c_Lattices_Osemilattice__sup__class_Osup(tc_fun(X1,tc_HOL_Obool),c_Relation_ODomain(X1,X1,X4),c_Relation_ORange(X1,X1,X4)),X4))). 341.39/43.39 cnf(i_0_250, plain, (hBOOL(hAPP(hAPP(X1,X2),X3))|c_member(tc_prod(tc_prod(X4,X5),tc_prod(X4,X5)),c_Product__Type_OPair(tc_prod(X4,X5),tc_prod(X4,X5),c_Product__Type_OPair(X4,X5,X6,X7),c_Product__Type_OPair(X4,X5,esk23_8(X1,X8,X3,X2,X7,X6,X5,X4),esk24_8(X1,X8,X3,X2,X7,X6,X5,X4))),c_Transitive__Closure_Ortrancl(tc_prod(X4,X5),X8))|~hBOOL(hAPP(hAPP(X1,X6),X7))|~c_member(tc_prod(tc_prod(X4,X5),tc_prod(X4,X5)),c_Product__Type_OPair(tc_prod(X4,X5),tc_prod(X4,X5),c_Product__Type_OPair(X4,X5,X6,X7),c_Product__Type_OPair(X4,X5,X2,X3)),c_Transitive__Closure_Ortrancl(tc_prod(X4,X5),X8)))). 341.39/43.39 cnf(i_0_742, plain, (hBOOL(hAPP(hAPP(X1,X2),X3))|c_member(tc_prod(tc_prod(X4,X5),tc_prod(X4,X5)),c_Product__Type_OPair(tc_prod(X4,X5),tc_prod(X4,X5),c_Product__Type_OPair(X4,X5,esk76_8(X1,X6,X7,X8,X3,X2,X5,X4),esk77_8(X1,X6,X7,X8,X3,X2,X5,X4)),c_Product__Type_OPair(X4,X5,X8,X7)),c_Transitive__Closure_Ortrancl(tc_prod(X4,X5),X6))|~hBOOL(hAPP(hAPP(X1,X8),X7))|~c_member(tc_prod(tc_prod(X4,X5),tc_prod(X4,X5)),c_Product__Type_OPair(tc_prod(X4,X5),tc_prod(X4,X5),c_Product__Type_OPair(X4,X5,X2,X3),c_Product__Type_OPair(X4,X5,X8,X7)),c_Transitive__Closure_Ortrancl(tc_prod(X4,X5),X6)))). 341.39/43.39 cnf(i_0_743, plain, (hBOOL(hAPP(hAPP(X1,X2),X3))|c_member(tc_prod(tc_prod(X4,X5),tc_prod(X4,X5)),c_Product__Type_OPair(tc_prod(X4,X5),tc_prod(X4,X5),c_Product__Type_OPair(X4,X5,esk74_8(X1,X6,X7,X8,X3,X2,X5,X4),esk75_8(X1,X6,X7,X8,X3,X2,X5,X4)),c_Product__Type_OPair(X4,X5,esk76_8(X1,X6,X7,X8,X3,X2,X5,X4),esk77_8(X1,X6,X7,X8,X3,X2,X5,X4))),X6)|~hBOOL(hAPP(hAPP(X1,X8),X7))|~c_member(tc_prod(tc_prod(X4,X5),tc_prod(X4,X5)),c_Product__Type_OPair(tc_prod(X4,X5),tc_prod(X4,X5),c_Product__Type_OPair(X4,X5,X2,X3),c_Product__Type_OPair(X4,X5,X8,X7)),c_Transitive__Closure_Ortrancl(tc_prod(X4,X5),X6)))). 341.39/43.39 cnf(i_0_249, plain, (hBOOL(hAPP(hAPP(X1,X2),X3))|c_member(tc_prod(tc_prod(X4,X5),tc_prod(X4,X5)),c_Product__Type_OPair(tc_prod(X4,X5),tc_prod(X4,X5),c_Product__Type_OPair(X4,X5,esk23_8(X1,X6,X3,X2,X7,X8,X5,X4),esk24_8(X1,X6,X3,X2,X7,X8,X5,X4)),c_Product__Type_OPair(X4,X5,esk25_8(X1,X6,X3,X2,X7,X8,X5,X4),esk26_8(X1,X6,X3,X2,X7,X8,X5,X4))),X6)|~hBOOL(hAPP(hAPP(X1,X8),X7))|~c_member(tc_prod(tc_prod(X4,X5),tc_prod(X4,X5)),c_Product__Type_OPair(tc_prod(X4,X5),tc_prod(X4,X5),c_Product__Type_OPair(X4,X5,X8,X7),c_Product__Type_OPair(X4,X5,X2,X3)),c_Transitive__Closure_Ortrancl(tc_prod(X4,X5),X6)))). 341.39/43.39 cnf(i_0_357, plain, (c_member(X1,esk37_5(X2,X3,X4,X1,X5),X2)|~c_member(X1,X5,X3)|~c_Orderings_Oord__class_Oless__eq(tc_fun(X1,tc_HOL_Obool),X3,c_Lattices_Osemilattice__sup__class_Osup(tc_fun(X1,tc_HOL_Obool),c_Relation_ODomain(X1,X1,X4),c_Relation_ORange(X1,X1,X4)))|~c_Orderings_Oord__class_Oless__eq(tc_fun(X1,tc_HOL_Obool),X2,c_Lattices_Osemilattice__sup__class_Osup(tc_fun(X1,tc_HOL_Obool),c_Relation_ODomain(X1,X1,X4),c_Relation_ORange(X1,X1,X4)))|~c_Orderings_Oord__class_Oless__eq(tc_fun(X1,tc_HOL_Obool),c_Relation_OImage(X1,X1,X4,X3),c_Relation_OImage(X1,X1,X4,X2))|~c_Order__Relation_Opreorder__on(X1,c_Lattices_Osemilattice__sup__class_Osup(tc_fun(X1,tc_HOL_Obool),c_Relation_ODomain(X1,X1,X4),c_Relation_ORange(X1,X1,X4)),X4))). 341.39/43.39 cnf(i_0_358, plain, (c_member(tc_prod(X1,X1),c_Product__Type_OPair(X1,X1,esk37_5(X2,X3,X4,X1,X5),X5),X4)|~c_member(X1,X5,X3)|~c_Orderings_Oord__class_Oless__eq(tc_fun(X1,tc_HOL_Obool),X3,c_Lattices_Osemilattice__sup__class_Osup(tc_fun(X1,tc_HOL_Obool),c_Relation_ODomain(X1,X1,X4),c_Relation_ORange(X1,X1,X4)))|~c_Orderings_Oord__class_Oless__eq(tc_fun(X1,tc_HOL_Obool),X2,c_Lattices_Osemilattice__sup__class_Osup(tc_fun(X1,tc_HOL_Obool),c_Relation_ODomain(X1,X1,X4),c_Relation_ORange(X1,X1,X4)))|~c_Orderings_Oord__class_Oless__eq(tc_fun(X1,tc_HOL_Obool),c_Relation_OImage(X1,X1,X4,X3),c_Relation_OImage(X1,X1,X4,X2))|~c_Order__Relation_Opreorder__on(X1,c_Lattices_Osemilattice__sup__class_Osup(tc_fun(X1,tc_HOL_Obool),c_Relation_ODomain(X1,X1,X4),c_Relation_ORange(X1,X1,X4)),X4))). 341.39/43.39 cnf(i_0_17, plain, (c_Orderings_Oord__class_Oless__eq(tc_fun(X1,tc_HOL_Obool),c_Relation_OImage(X1,X1,X2,c_Set_Oinsert(X1,X3,c_Orderings_Obot__class_Obot(tc_fun(X1,tc_HOL_Obool)))),c_Relation_OImage(X1,X1,X2,c_Set_Oinsert(X1,X4,c_Orderings_Obot__class_Obot(tc_fun(X1,tc_HOL_Obool)))))|~c_member(X1,X3,c_Lattices_Osemilattice__sup__class_Osup(tc_fun(X1,tc_HOL_Obool),c_Relation_ODomain(X1,X1,X2),c_Relation_ORange(X1,X1,X2)))|~c_member(X1,X4,c_Lattices_Osemilattice__sup__class_Osup(tc_fun(X1,tc_HOL_Obool),c_Relation_ODomain(X1,X1,X2),c_Relation_ORange(X1,X1,X2)))|~c_member(tc_prod(X1,X1),c_Product__Type_OPair(X1,X1,X4,X3),X2)|~c_Order__Relation_Opreorder__on(X1,c_Lattices_Osemilattice__sup__class_Osup(tc_fun(X1,tc_HOL_Obool),c_Relation_ODomain(X1,X1,X2),c_Relation_ORange(X1,X1,X2)),X2))). 341.39/43.39 # End listing active clauses. There is an equivalent clause to each of these in the clausification! 341.39/43.39 # Begin printing tableau 341.39/43.39 # Found 5 steps 341.39/43.39 cnf(i_0_193, negated_conjecture, (~c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,v_a,v_b),hAPP(v_P,v_i))), inference(start_rule)). 341.39/43.39 cnf(i_0_870, plain, (~c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,v_a,v_b),hAPP(v_P,v_i))), inference(extension_rule, [i_0_701])). 341.39/43.39 cnf(i_0_1223, plain, (~c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,v_a,v_b),c_Groups_Ominus__class_Ominus(tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool),hAPP(v_P,v_i),X12))), inference(extension_rule, [i_0_65])). 341.39/43.39 cnf(i_0_1067095, plain, (~c_member(tc_Arrow__Order__Mirabelle_Oalt,v_b,c_Relation_OImage(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,c_Groups_Ominus__class_Ominus(tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool),hAPP(v_P,v_i),X12),c_Set_Oinsert(tc_Arrow__Order__Mirabelle_Oalt,v_a,c_Orderings_Obot__class_Obot(tc_fun(tc_Arrow__Order__Mirabelle_Oalt,tc_HOL_Obool)))))), inference(extension_rule, [i_0_142])). 341.39/43.39 cnf(i_0_2188904, plain, (~c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,v_b,X8),c_Relation_OId__on(tc_Arrow__Order__Mirabelle_Oalt,c_Relation_OImage(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,c_Groups_Ominus__class_Ominus(tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool),hAPP(v_P,v_i),X12),c_Set_Oinsert(tc_Arrow__Order__Mirabelle_Oalt,v_a,c_Orderings_Obot__class_Obot(tc_fun(tc_Arrow__Order__Mirabelle_Oalt,tc_HOL_Obool))))))), inference(etableau_closure_rule, [i_0_2188904, ...])). 341.39/43.39 # End printing tableau 341.39/43.39 # SZS output end 341.39/43.39 # Branches closed with saturation will be marked with an "s" 341.39/43.42 # Child (19672) has found a proof. 341.39/43.42 341.39/43.42 # Proof search is over... 341.39/43.42 # Freeing feature tree 341.39/43.48 EOF